%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Tue Sep 29 10:09:40 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.53s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 15 RR)
% Number of literals : 35 ( 34 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) != multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c2,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_multiply) ).
cnf(c3,plain,
multiply(multiply(X3,X2),multiply(X3,X2)) = multiply(X3,multiply(X2,multiply(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
multiply(X3,multiply(X2,multiply(X3,X2))) = multiply(multiply(X3,X2),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
multiply(X4,multiply(X3,multiply(X2,multiply(X3,X2)))) = multiply(X4,multiply(multiply(X3,X2),multiply(X3,X2))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,hypothesis,
multiply(X2,multiply(Y2,Y2)) = multiply(Y2,multiply(Y2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
cnf(c7,plain,
multiply(X2,multiply(multiply(X4,X3),multiply(X4,X3))) = multiply(multiply(X4,X3),multiply(multiply(X4,X3),X2)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
multiply(multiply(X4,X3),multiply(multiply(X4,X3),X2)) = multiply(X4,multiply(X3,multiply(multiply(X4,X3),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c9,plain,
multiply(multiply(X4,X3),X2) = multiply(X4,multiply(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
multiply(X3,multiply(multiply(X4,X3),X2)) = multiply(X3,multiply(X4,multiply(X3,X2))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
multiply(X4,multiply(X3,multiply(multiply(X4,X3),X2))) = multiply(X4,multiply(X3,multiply(X4,multiply(X3,X2)))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
multiply(multiply(X4,X3),multiply(multiply(X4,X3),X2)) = multiply(X4,multiply(X3,multiply(X4,multiply(X3,X2)))),
inference(transitivity,[status(thm)],[c8,c11]) ).
cnf(c13,plain,
multiply(X2,multiply(multiply(X4,X3),multiply(X4,X3))) = multiply(X4,multiply(X3,multiply(X4,multiply(X3,X2)))),
inference(transitivity,[status(thm)],[c7,c12]) ).
cnf(c14,plain,
multiply(X2,multiply(X4,multiply(X3,multiply(X4,X3)))) = multiply(X4,multiply(X3,multiply(X4,multiply(X3,X2)))),
inference(transitivity,[status(thm)],[c5,c13]) ).
cnf(c15,plain,
multiply(b,multiply(a,multiply(b,multiply(a,b)))) = multiply(a,multiply(b,multiply(a,multiply(b,b)))),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))) = multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))) = multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,plain,
multiply(multiply(X3,X2),multiply(X4,X4)) = multiply(X4,multiply(X4,multiply(X3,X2))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c20,plain,
multiply(X4,multiply(X4,multiply(X3,X2))) = multiply(multiply(X3,X2),multiply(X4,X4)),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
multiply(multiply(X3,X2),multiply(X4,X4)) = multiply(X3,multiply(X2,multiply(X4,X4))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c22,plain,
multiply(X2,multiply(X3,X3)) = multiply(X3,multiply(X3,X2)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c23,plain,
multiply(X3,multiply(X2,multiply(X4,X4))) = multiply(X3,multiply(X4,multiply(X4,X2))),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
multiply(multiply(X3,X2),multiply(X4,X4)) = multiply(X3,multiply(X4,multiply(X4,X2))),
inference(transitivity,[status(thm)],[c21,c23]) ).
cnf(c25,plain,
multiply(X4,multiply(X4,multiply(X3,X2))) = multiply(X3,multiply(X4,multiply(X4,X2))),
inference(transitivity,[status(thm)],[c20,c24]) ).
cnf(c26,plain,
multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) = multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))),
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
multiply(b,multiply(b,multiply(a,multiply(b,b)))) = multiply(a,multiply(b,multiply(b,multiply(b,b)))),
inference(substitution,[status(thm)],[c25]) ).
cnf(c30,plain,
multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))) = multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b)))))) = multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b)))))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(transitivity,[status(thm)],[c28,c32]) ).
cnf(c34,plain,
multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) = multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))),
inference(transitivity,[status(thm)],[c18,c33]) ).
cnf(c35,plain,
$false,
inference(resolution,[status(thm)],[c1,c34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP195-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 09:37:07 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.53 Command-line arguments: --no-flatten-goal
% 0.18/0.53
% 0.18/0.53 % SZS status Unsatisfiable
% 0.18/0.53
% 0.18/0.53 % SZS output start CNFRefutation
% See solution above
% 0.18/0.56
% 0.18/0.56 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------