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authorAndrew Reynolds <andrew.j.reynolds@gmail.com>2018-02-15 15:31:48 -0600
committerAina Niemetz <aina.niemetz@gmail.com>2018-02-15 13:31:48 -0800
commit55037e0bcef45c795f28ff3fcf6c1055af465c70 (patch)
tree397d89bd10e541e1206c5dafdb8cf731feb34730 /test/regress/regress1/fmf/ALG008-1.smt2
parent52a39aca19b7238d08c3cebcfa46436a73194008 (diff)
Refactor regressions (#1581)
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+; COMMAND-LINE: --finite-model-find
+; EXPECT: sat
+;%--------------------------------------------------------------------------
+;% File : ALG008-1 : TPTP v5.4.0. Released v2.2.0.
+;% Domain : General Algebra
+;% Problem : TC + right identity does not give RC.
+;% Version : [MP96] (equality) axioms : Especial.
+;% English : An algebra with a right identity satisfying the Thomsen
+;% Closure (RC) condition does not necessarily satisfy the
+;% Reidemeister Closure (RC) condition.
+
+;% Refs : [McC98] McCune (1998), Email to G. Sutcliffe
+;% : [MP96] McCune & Padmanabhan (1996), Automated Deduction in Eq
+;% Source : [McC98]
+;% Names : TC-3 [MP96]
+
+;% Status : Satisfiable
+;% Rating : 0.50 v5.4.0, 0.80 v5.3.0, 0.78 v5.2.0, 0.80 v5.0.0, 0.78 v4.1.0, 0.71 v4.0.1, 0.80 v4.0.0, 0.50 v3.7.0, 0.33 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0, 0.80 v3.1.0, 0.67 v2.7.0, 0.33 v2.6.0, 0.86 v2.5.0, 0.50 v2.4.0, 0.67 v2.3.0, 1.00 v2.2.1
+;% Syntax : Number of clauses : 6 ( 0 non-Horn; 5 unit; 5 RR)
+;% Number of atoms : 10 ( 10 equality)
+;% Maximal clause size : 5 ( 2 average)
+;% Number of predicates : 1 ( 0 propositional; 2-2 arity)
+;% Number of functors : 9 ( 8 constant; 0-2 arity)
+;% Number of variables : 9 ( 0 singleton)
+;% Maximal term depth : 2 ( 2 average)
+;% SPC : CNF_SAT_RFO_EQU_NUE
+
+;% Comments : The smallest model has 3 elements.
+;%--------------------------------------------------------------------------
+;%----Thomsen Closure (TC) condition:
+(set-logic UF)
+(set-info :status sat)
+(declare-sort sort__smt2 0)
+; functions
+(declare-fun multiply__smt2_2 ( sort__smt2 sort__smt2 ) sort__smt2)
+(declare-fun identity__smt2_0 ( ) sort__smt2)
+(declare-fun c4__smt2_0 ( ) sort__smt2)
+(declare-fun a__smt2_0 ( ) sort__smt2)
+(declare-fun c3__smt2_0 ( ) sort__smt2)
+(declare-fun b__smt2_0 ( ) sort__smt2)
+(declare-fun c2__smt2_0 ( ) sort__smt2)
+(declare-fun c1__smt2_0 ( ) sort__smt2)
+(declare-fun f__smt2_0 ( ) sort__smt2)
+; predicates
+
+; thomsen_closure axiom
+(assert (forall ((?V7 sort__smt2) (?V6 sort__smt2) (?W sort__smt2) (?V sort__smt2) (?U sort__smt2) (?Z sort__smt2) (?Y sort__smt2) (?X sort__smt2))
+ (or (not (= (multiply__smt2_2 ?X ?Y) ?Z))
+ (not (= (multiply__smt2_2 ?U ?V) ?Z))
+ (not (= (multiply__smt2_2 ?X ?W) ?V6))
+ (not (= (multiply__smt2_2 ?V7 ?V) ?V6))
+ (= (multiply__smt2_2 ?U ?W) (multiply__smt2_2 ?V7 ?Y)))) )
+
+;%----Right identity:
+; right_identity axiom
+(assert (forall ((?X sort__smt2)) (= (multiply__smt2_2 ?X identity__smt2_0) ?X)) )
+
+;%----Denial of Reidimeister Closure (RC) condidition.
+; prove_reidimeister1 negated_conjecture
+(assert (= (multiply__smt2_2 c4__smt2_0 a__smt2_0) (multiply__smt2_2 c3__smt2_0 b__smt2_0)) )
+
+; prove_reidimeister2 negated_conjecture
+(assert (= (multiply__smt2_2 c2__smt2_0 a__smt2_0) (multiply__smt2_2 c1__smt2_0 b__smt2_0)) )
+
+; prove_reidimeister3 negated_conjecture
+(assert (= (multiply__smt2_2 c4__smt2_0 f__smt2_0) (multiply__smt2_2 c3__smt2_0 identity__smt2_0)) )
+
+; prove_reidimeister4 negated_conjecture
+(assert (not (= (multiply__smt2_2 c2__smt2_0 f__smt2_0) (multiply__smt2_2 c1__smt2_0 identity__smt2_0))) )
+
+
+(check-sat)
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