%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 10:11:49 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 34 RR)
% Number of literals : 52 ( 51 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
mult(unit,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
cnf(c3,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
mult(X,X) = mult(X,mult(unit,X)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
mult(mult(X,X),X2) = mult(mult(X,mult(unit,X)),X2),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,axiom,
mult(A2,mult(B,mult(A2,C))) = mult(mult(A2,mult(B,A2)),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
cnf(c8,plain,
mult(X2,mult(unit,mult(X2,X))) = mult(mult(X2,mult(unit,X2)),X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
mult(mult(X2,mult(unit,X2)),X) = mult(X2,mult(unit,mult(X2,X))),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(unit,mult(X2,X)) = mult(X2,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
mult(X2,mult(unit,mult(X2,X))) = mult(X2,mult(X2,X)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
mult(mult(X2,mult(unit,X2)),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c9,c11]) ).
cnf(c13,plain,
mult(mult(X2,X2),X) = mult(X2,mult(X2,X)),
inference(transitivity,[status(thm)],[c6,c12]) ).
cnf(c14,plain,
mult(mult(op_c,op_c),mult(a,b)) = mult(op_c,mult(op_c,mult(a,b))),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,axiom,
mult(op_c,A2) = mult(A2,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
cnf(c16,plain,
mult(op_c,mult(X2,X)) = mult(mult(X2,X),op_c),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,axiom,
mult(A2,mult(B2,op_c)) = mult(mult(A2,B2),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
cnf(c18,plain,
mult(X2,mult(X,op_c)) = mult(mult(X2,X),op_c),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
mult(mult(X2,X),op_c) = mult(X2,mult(X,op_c)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(op_c,mult(X2,X)) = mult(X2,mult(X,op_c)),
inference(transitivity,[status(thm)],[c16,c19]) ).
cnf(c21,plain,
mult(op_c,mult(a,b)) = mult(a,mult(b,op_c)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
mult(op_c,mult(op_c,mult(a,b))) = mult(op_c,mult(a,mult(b,op_c))),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
mult(op_c,mult(a,mult(b,op_c))) = mult(a,mult(mult(b,op_c),op_c)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c24,plain,
mult(op_c,mult(b,op_c)) = mult(mult(b,op_c),op_c),
inference(substitution,[status(thm)],[c15]) ).
cnf(c25,plain,
mult(mult(b,op_c),op_c) = mult(op_c,mult(b,op_c)),
inference(symmetry,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(a,mult(mult(b,op_c),op_c)) = mult(a,mult(op_c,mult(b,op_c))),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
mult(op_c,b) = mult(b,op_c),
inference(substitution,[status(thm)],[c15]) ).
cnf(c28,plain,
mult(b,op_c) = mult(op_c,b),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(op_c,mult(b,op_c)) = mult(op_c,mult(op_c,b)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(a,mult(op_c,mult(b,op_c))) = mult(a,mult(op_c,mult(op_c,b))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(op_c,mult(op_c,b)) = mult(mult(op_c,b),op_c),
inference(substitution,[status(thm)],[c15]) ).
cnf(c32,plain,
mult(a,mult(op_c,mult(op_c,b))) = mult(a,mult(mult(op_c,b),op_c)),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
mult(op_c,mult(a,mult(op_c,b))) = mult(a,mult(mult(op_c,b),op_c)),
inference(substitution,[status(thm)],[c20]) ).
cnf(c34,plain,
mult(a,mult(mult(op_c,b),op_c)) = mult(op_c,mult(a,mult(op_c,b))),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
mult(op_c,mult(a,mult(op_c,b))) = mult(mult(op_c,mult(a,op_c)),b),
inference(substitution,[status(thm)],[c7]) ).
cnf(c36,plain,
mult(op_c,a) = mult(a,op_c),
inference(substitution,[status(thm)],[c15]) ).
cnf(c37,plain,
mult(a,op_c) = mult(op_c,a),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(op_c,mult(a,op_c)) = mult(op_c,mult(op_c,a)),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
mult(mult(op_c,mult(a,op_c)),b) = mult(mult(op_c,mult(op_c,a)),b),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
mult(mult(op_c,op_c),a) = mult(op_c,mult(op_c,a)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c41,plain,
mult(op_c,mult(op_c,a)) = mult(mult(op_c,op_c),a),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
mult(mult(op_c,mult(op_c,a)),b) = mult(mult(mult(op_c,op_c),a),b),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
mult(mult(op_c,mult(a,op_c)),b) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c39,c42]) ).
cnf(c44,plain,
mult(op_c,mult(a,mult(op_c,b))) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c35,c43]) ).
cnf(c45,plain,
mult(a,mult(mult(op_c,b),op_c)) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c34,c44]) ).
cnf(c46,plain,
mult(a,mult(op_c,mult(op_c,b))) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c32,c45]) ).
cnf(c47,plain,
mult(a,mult(op_c,mult(b,op_c))) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c30,c46]) ).
cnf(c48,plain,
mult(a,mult(mult(b,op_c),op_c)) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c26,c47]) ).
cnf(c49,plain,
mult(op_c,mult(a,mult(b,op_c))) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c23,c48]) ).
cnf(c50,plain,
mult(op_c,mult(op_c,mult(a,b))) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c22,c49]) ).
cnf(c51,plain,
mult(mult(op_c,op_c),mult(a,b)) = mult(mult(mult(op_c,op_c),a),b),
inference(transitivity,[status(thm)],[c14,c50]) ).
cnf(c52,plain,
$false,
inference(resolution,[status(thm)],[c1,c51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:40:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45 Command-line arguments: --no-flatten-goal
% 0.10/0.45
% 0.10/0.45 % SZS status Unsatisfiable
% 0.10/0.45
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47
% 0.18/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------