%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:24:52 PM UTC 2026
% Result : Unsatisfiable 4.22s 1.14s
% Output : CNFRefutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of clauses : 29 ( 29 unt; 0 nHn; 16 RR)
% Number of literals : 29 ( 28 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t7,axiom,
sFlat0 = multiply(b,a),
introduced(definition) ).
cnf(t18,plain,
multiply(b,a) = sFlat0,
inference(orient,[status(thm)],[t7]) ).
cnf(t6,axiom,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(orient,[status(thm)],[t6]) ).
cnf(t0,axiom,
multiply(X1,X1) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t10,plain,
multiply(X1,X1) = identity,
inference(orient,[status(thm)],[t0]) ).
cnf(t13,plain,
multiply(X1,multiply(X1,X2)) = multiply(identity,X2),
inference(cp,[status(thm)],[t11,t10]) ).
cnf(t3,axiom,
multiply(identity,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
multiply(identity,X1) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t51,plain,
multiply(X1,multiply(X1,X2)) = X2,
inference(step,[status(thm)],[t13,t9]) ).
cnf(t26,plain,
multiply(X1,multiply(X1,X2)) = X2,
inference(orient,[status(thm)],[t51]) ).
cnf(t19,plain,
multiply(b,multiply(a,X1)) = multiply(sFlat0,X1),
inference(cp,[status(thm)],[t11,t18]) ).
cnf(t38,plain,
multiply(b,multiply(a,X1)) = multiply(sFlat0,X1),
inference(orient,[status(thm)],[t19]) ).
cnf(t2,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t20,plain,
multiply(a,b) = c,
inference(orient,[status(thm)],[t2]) ).
cnf(t30,plain,
b = multiply(a,c),
inference(cp,[status(thm)],[t26,t20]) ).
cnf(t34,plain,
multiply(a,c) = b,
inference(orient,[status(thm)],[t30]) ).
cnf(t40,plain,
multiply(sFlat0,c) = multiply(b,b),
inference(cp,[status(thm)],[t38,t34]) ).
cnf(t53,plain,
multiply(sFlat0,c) = identity,
inference(step,[status(thm)],[t40,t10]) ).
cnf(t44,plain,
multiply(sFlat0,c) = identity,
inference(orient,[status(thm)],[t53]) ).
cnf(t46,plain,
c = multiply(sFlat0,identity),
inference(cp,[status(thm)],[t26,t44]) ).
cnf(t1,axiom,
multiply(X1,identity) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
multiply(X1,identity) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t54,plain,
c = sFlat0,
inference(step,[status(thm)],[t46,t8]) ).
cnf(t47,plain,
c = sFlat0,
inference(orient,[status(thm)],[t54]) ).
cnf(goal_0,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
sFlat0 != c,
inference(rw,[status(thm)],[goal_0,t18]) ).
cnf(g0_1,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_0,t47]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.40 % Computer : n003.cluster.edu
% 0.09/0.40 % Model : x86_64 x86_64
% 0.09/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40 % Memory : 8046.5625MB
% 0.09/0.40 % OS : Linux 6.8.0-71-generic
% 0.09/0.40 % CPULimit : 300
% 0.09/0.40 % WCLimit : 300
% 0.09/0.40 % DateTime : Wed Sep 23 13:12:05 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.22/1.14 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.22/1.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------