%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP715-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 10:11:50 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.37s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of clauses : 60 ( 60 unt; 0 nHn; 21 RR)
% Number of literals : 60 ( 59 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(x0,op_a),op_b) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
mult(unit,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
cnf(c3,plain,
mult(unit,op_b) = op_b,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
op_b = mult(unit,op_b),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
mult(mult(mult(X,op_a),op_b),op_b) = mult(mult(mult(X,op_a),op_b),mult(unit,op_b)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
mult(op_b,op_a) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c7,plain,
unit = mult(op_b,op_a),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(unit,op_b) = mult(mult(op_b,op_a),op_b),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
mult(mult(mult(X,op_a),op_b),mult(unit,op_b)) = mult(mult(mult(X,op_a),op_b),mult(mult(op_b,op_a),op_b)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,axiom,
mult(mult(mult(A2,B),C),B) = mult(A2,mult(mult(B,C),B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c11,plain,
mult(mult(mult(mult(mult(X,op_a),op_b),op_b),op_a),op_b) = mult(mult(mult(X,op_a),op_b),mult(mult(op_b,op_a),op_b)),
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
mult(mult(mult(X,op_a),op_b),mult(mult(op_b,op_a),op_b)) = mult(mult(mult(mult(mult(X,op_a),op_b),op_b),op_a),op_b),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,axiom,
mult(A2,mult(B2,B2)) = mult(mult(A2,B2),B2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(c14,plain,
mult(mult(X,op_a),mult(op_b,op_b)) = mult(mult(mult(X,op_a),op_b),op_b),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
mult(mult(mult(X,op_a),op_b),op_b) = mult(mult(X,op_a),mult(op_b,op_b)),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(mult(mult(mult(X,op_a),op_b),op_b),op_a) = mult(mult(mult(X,op_a),mult(op_b,op_b)),op_a),
inference(congruence,[status(thm)],[c15]) ).
cnf(c17,plain,
mult(mult(mult(X,op_a),mult(op_b,op_b)),op_a) = mult(X,mult(mult(op_a,mult(op_b,op_b)),op_a)),
inference(substitution,[status(thm)],[c10]) ).
cnf(c18,plain,
mult(op_a,mult(op_b,op_b)) = mult(mult(op_a,op_b),op_b),
inference(substitution,[status(thm)],[c13]) ).
cnf(c19,axiom,
mult(op_a,op_b) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c20,plain,
mult(mult(op_a,op_b),op_b) = mult(unit,op_b),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(unit,op_b) = op_b,
inference(substitution,[status(thm)],[c2]) ).
cnf(c22,plain,
mult(mult(op_a,op_b),op_b) = op_b,
inference(transitivity,[status(thm)],[c20,c21]) ).
cnf(c23,plain,
mult(op_a,mult(op_b,op_b)) = op_b,
inference(transitivity,[status(thm)],[c18,c22]) ).
cnf(c24,plain,
mult(mult(op_a,mult(op_b,op_b)),op_a) = mult(op_b,op_a),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(X,mult(mult(op_a,mult(op_b,op_b)),op_a)) = mult(X,mult(op_b,op_a)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(X,mult(op_b,op_a)) = mult(X,unit),
inference(congruence,[status(thm)],[c6]) ).
cnf(c27,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(c28,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(X,mult(op_b,op_a)) = X,
inference(transitivity,[status(thm)],[c26,c28]) ).
cnf(c30,plain,
mult(X,mult(mult(op_a,mult(op_b,op_b)),op_a)) = X,
inference(transitivity,[status(thm)],[c25,c29]) ).
cnf(c31,plain,
mult(mult(mult(X,op_a),mult(op_b,op_b)),op_a) = X,
inference(transitivity,[status(thm)],[c17,c30]) ).
cnf(c32,plain,
mult(mult(mult(mult(X,op_a),op_b),op_b),op_a) = X,
inference(transitivity,[status(thm)],[c16,c31]) ).
cnf(c33,plain,
mult(mult(mult(mult(mult(X,op_a),op_b),op_b),op_a),op_b) = mult(X,op_b),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
mult(mult(mult(X,op_a),op_b),mult(mult(op_b,op_a),op_b)) = mult(X,op_b),
inference(transitivity,[status(thm)],[c12,c33]) ).
cnf(c35,plain,
mult(mult(mult(X,op_a),op_b),mult(unit,op_b)) = mult(X,op_b),
inference(transitivity,[status(thm)],[c9,c34]) ).
cnf(c36,plain,
mult(mult(mult(X,op_a),op_b),op_b) = mult(X,op_b),
inference(transitivity,[status(thm)],[c5,c35]) ).
cnf(c37,plain,
mult(X,op_b) = mult(mult(mult(X,op_a),op_b),op_b),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(mult(X,op_b),mult(op_a,op_a)) = mult(mult(mult(mult(X,op_a),op_b),op_b),mult(op_a,op_a)),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
mult(mult(mult(mult(X,op_a),op_b),op_b),mult(op_a,op_a)) = mult(mult(mult(mult(mult(X,op_a),op_b),op_b),op_a),op_a),
inference(substitution,[status(thm)],[c13]) ).
cnf(c40,plain,
mult(mult(mult(mult(mult(X,op_a),op_b),op_b),op_a),op_a) = mult(X,op_a),
inference(congruence,[status(thm)],[c32]) ).
cnf(c41,plain,
mult(mult(mult(mult(X,op_a),op_b),op_b),mult(op_a,op_a)) = mult(X,op_a),
inference(transitivity,[status(thm)],[c39,c40]) ).
cnf(c42,plain,
mult(mult(X,op_b),mult(op_a,op_a)) = mult(X,op_a),
inference(transitivity,[status(thm)],[c38,c41]) ).
cnf(c43,plain,
mult(X,op_a) = mult(mult(X,op_b),mult(op_a,op_a)),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,plain,
mult(mult(X,op_a),op_b) = mult(mult(mult(X,op_b),mult(op_a,op_a)),op_b),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(mult(mult(X,op_b),mult(op_a,op_a)),op_b) = mult(X,mult(mult(op_b,mult(op_a,op_a)),op_b)),
inference(substitution,[status(thm)],[c10]) ).
cnf(c46,plain,
mult(op_b,mult(op_a,op_a)) = mult(mult(op_b,op_a),op_a),
inference(substitution,[status(thm)],[c13]) ).
cnf(c47,plain,
mult(mult(op_b,op_a),op_a) = mult(unit,op_a),
inference(congruence,[status(thm)],[c6]) ).
cnf(c48,plain,
mult(unit,op_a) = op_a,
inference(substitution,[status(thm)],[c2]) ).
cnf(c49,plain,
mult(mult(op_b,op_a),op_a) = op_a,
inference(transitivity,[status(thm)],[c47,c48]) ).
cnf(c50,plain,
mult(op_b,mult(op_a,op_a)) = op_a,
inference(transitivity,[status(thm)],[c46,c49]) ).
cnf(c51,plain,
mult(mult(op_b,mult(op_a,op_a)),op_b) = mult(op_a,op_b),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
mult(X,mult(mult(op_b,mult(op_a,op_a)),op_b)) = mult(X,mult(op_a,op_b)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
mult(X,mult(op_a,op_b)) = mult(X,unit),
inference(congruence,[status(thm)],[c19]) ).
cnf(c54,plain,
mult(X,unit) = X,
inference(substitution,[status(thm)],[c27]) ).
cnf(c55,plain,
mult(X,mult(op_a,op_b)) = X,
inference(transitivity,[status(thm)],[c53,c54]) ).
cnf(c56,plain,
mult(X,mult(mult(op_b,mult(op_a,op_a)),op_b)) = X,
inference(transitivity,[status(thm)],[c52,c55]) ).
cnf(c57,plain,
mult(mult(mult(X,op_b),mult(op_a,op_a)),op_b) = X,
inference(transitivity,[status(thm)],[c45,c56]) ).
cnf(c58,plain,
mult(mult(X,op_a),op_b) = X,
inference(transitivity,[status(thm)],[c44,c57]) ).
cnf(c59,plain,
mult(mult(x0,op_a),op_b) = x0,
inference(substitution,[status(thm)],[c58]) ).
cnf(c60,plain,
$false,
inference(resolution,[status(thm)],[c1,c59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP715-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.02 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 10:36:49 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.37 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 0.07/0.37
% 0.07/0.37 % SZS status Unsatisfiable
% 0.07/0.37
% 0.07/0.37 % SZS output start CNFRefutation
% See solution above
% 0.07/0.38
% 0.07/0.38 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------