%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP703-12 : TPTP v9.3.1. Released v8.1.0.
% 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 10:11:48 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of clauses : 71 ( 71 unt; 0 nHn; 26 RR)
% Number of literals : 71 ( 70 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(x2,mult(op_e,x3)) != mult(mult(x2,op_e),x3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
op_e = mult(mult(rd(op_c,mult(A,B)),B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f12) ).
cnf(c3,plain,
op_e = mult(mult(rd(op_c,mult(unit,X)),X),unit),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
mult(A2,unit) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c5,plain,
mult(mult(rd(op_c,mult(unit,X)),X),unit) = mult(rd(op_c,mult(unit,X)),X),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c7,plain,
ld(op_c,mult(op_c,op_c)) = op_c,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
op_c = ld(op_c,mult(op_c,op_c)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,axiom,
op_d = ld(A2,mult(op_c,A2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11) ).
cnf(c10,plain,
op_d = ld(op_c,mult(op_c,op_c)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
ld(op_c,mult(op_c,op_c)) = op_d,
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
op_c = op_d,
inference(transitivity,[status(thm)],[c8,c11]) ).
cnf(c13,plain,
rd(op_c,mult(unit,X)) = rd(op_d,mult(unit,X)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
mult(rd(op_c,mult(unit,X)),X) = mult(rd(op_d,mult(unit,X)),X),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c16,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
rd(op_d,mult(unit,X)) = rd(op_d,X),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
mult(rd(op_d,mult(unit,X)),X) = mult(rd(op_d,X),X),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c20,plain,
mult(rd(op_d,X),X) = op_d,
inference(substitution,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(rd(op_d,mult(unit,X)),X) = op_d,
inference(transitivity,[status(thm)],[c18,c20]) ).
cnf(c22,plain,
mult(rd(op_c,mult(unit,X)),X) = op_d,
inference(transitivity,[status(thm)],[c14,c21]) ).
cnf(c23,plain,
mult(mult(rd(op_c,mult(unit,X)),X),unit) = op_d,
inference(transitivity,[status(thm)],[c5,c22]) ).
cnf(c24,plain,
op_e = op_d,
inference(transitivity,[status(thm)],[c3,c23]) ).
cnf(c25,plain,
mult(op_e,x3) = mult(op_d,x3),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
mult(x2,mult(op_e,x3)) = mult(x2,mult(op_d,x3)),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c12]) ).
cnf(c28,plain,
mult(op_d,X) = mult(op_c,X),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c30,plain,
mult(X,ld(X,mult(op_c,X))) = mult(op_c,X),
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(op_c,X) = mult(X,ld(X,mult(op_c,X))),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
op_d = ld(X,mult(op_c,X)),
inference(substitution,[status(thm)],[c9]) ).
cnf(c33,plain,
ld(X,mult(op_c,X)) = op_d,
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
mult(X,ld(X,mult(op_c,X))) = mult(X,op_d),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
mult(op_c,X) = mult(X,op_d),
inference(transitivity,[status(thm)],[c31,c34]) ).
cnf(c36,plain,
mult(op_d,X) = mult(X,op_d),
inference(transitivity,[status(thm)],[c28,c35]) ).
cnf(c37,plain,
mult(op_d,x3) = mult(x3,op_d),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(x2,mult(op_d,x3)) = mult(x2,mult(x3,op_d)),
inference(congruence,[status(thm)],[c37]) ).
cnf(c39,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c12]) ).
cnf(c40,plain,
mult(op_d,X) = mult(op_c,X),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
mult(mult(op_d,X),X2) = mult(mult(op_c,X),X2),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,axiom,
mult(op_c,mult(A2,B2)) = mult(mult(op_c,A2),B2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(c43,plain,
mult(op_c,mult(X2,X)) = mult(mult(op_c,X2),X),
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
mult(mult(op_c,X2),X) = mult(op_c,mult(X2,X)),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(op_c,mult(X2,X)) = mult(op_d,mult(X2,X)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c46,plain,
mult(op_d,mult(X2,X)) = mult(mult(X2,X),op_d),
inference(substitution,[status(thm)],[c36]) ).
cnf(c47,plain,
op_d = op_c,
inference(symmetry,[status(thm)],[c12]) ).
cnf(c48,plain,
mult(mult(X2,X),op_d) = mult(mult(X2,X),op_c),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,axiom,
mult(A2,mult(B2,op_c)) = mult(mult(A2,B2),op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
cnf(c50,plain,
mult(X2,mult(X,op_c)) = mult(mult(X2,X),op_c),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
mult(mult(X2,X),op_c) = mult(X2,mult(X,op_c)),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
mult(X,op_c) = mult(X,op_d),
inference(congruence,[status(thm)],[c12]) ).
cnf(c53,plain,
mult(X2,mult(X,op_c)) = mult(X2,mult(X,op_d)),
inference(congruence,[status(thm)],[c52]) ).
cnf(c54,plain,
mult(mult(X2,X),op_c) = mult(X2,mult(X,op_d)),
inference(transitivity,[status(thm)],[c51,c53]) ).
cnf(c55,plain,
mult(mult(X2,X),op_d) = mult(X2,mult(X,op_d)),
inference(transitivity,[status(thm)],[c48,c54]) ).
cnf(c56,plain,
mult(op_d,mult(X2,X)) = mult(X2,mult(X,op_d)),
inference(transitivity,[status(thm)],[c46,c55]) ).
cnf(c57,plain,
mult(op_c,mult(X2,X)) = mult(X2,mult(X,op_d)),
inference(transitivity,[status(thm)],[c45,c56]) ).
cnf(c58,plain,
mult(mult(op_c,X2),X) = mult(X2,mult(X,op_d)),
inference(transitivity,[status(thm)],[c44,c57]) ).
cnf(c59,plain,
mult(mult(op_d,X2),X) = mult(X2,mult(X,op_d)),
inference(transitivity,[status(thm)],[c41,c58]) ).
cnf(c60,plain,
mult(mult(op_d,x2),x3) = mult(x2,mult(x3,op_d)),
inference(substitution,[status(thm)],[c59]) ).
cnf(c61,plain,
mult(x2,mult(x3,op_d)) = mult(mult(op_d,x2),x3),
inference(symmetry,[status(thm)],[c60]) ).
cnf(c62,plain,
mult(op_d,x2) = mult(x2,op_d),
inference(substitution,[status(thm)],[c36]) ).
cnf(c63,plain,
mult(mult(op_d,x2),x3) = mult(mult(x2,op_d),x3),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
op_d = op_e,
inference(symmetry,[status(thm)],[c24]) ).
cnf(c65,plain,
mult(x2,op_d) = mult(x2,op_e),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
mult(mult(x2,op_d),x3) = mult(mult(x2,op_e),x3),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
mult(mult(op_d,x2),x3) = mult(mult(x2,op_e),x3),
inference(transitivity,[status(thm)],[c63,c66]) ).
cnf(c68,plain,
mult(x2,mult(x3,op_d)) = mult(mult(x2,op_e),x3),
inference(transitivity,[status(thm)],[c61,c67]) ).
cnf(c69,plain,
mult(x2,mult(op_d,x3)) = mult(mult(x2,op_e),x3),
inference(transitivity,[status(thm)],[c38,c68]) ).
cnf(c70,plain,
mult(x2,mult(op_e,x3)) = mult(mult(x2,op_e),x3),
inference(transitivity,[status(thm)],[c26,c69]) ).
cnf(c71,plain,
$false,
inference(resolution,[status(thm)],[c1,c70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP703-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 10:36:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 Command-line arguments: --no-flatten-goal
% 0.18/0.46
% 0.18/0.46 % SZS status Unsatisfiable
% 0.18/0.46
% 0.18/0.46 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47
% 0.18/0.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------