%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 10:10:30 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 3 RR)
% Number of literals : 58 ( 57 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c2,axiom,
inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
cnf(c3,plain,
inverse(X2) = divide(divide(X,X),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
divide(X3,inverse(X2)) = divide(X3,divide(divide(X,X),X2)),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,axiom,
multiply(A2,B2) = divide(A2,divide(divide(C,C),B2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c6,plain,
multiply(X3,X2) = divide(X3,divide(divide(X,X),X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
divide(X3,divide(divide(X,X),X2)) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
divide(X2,inverse(X)) = multiply(X2,X),
inference(transitivity,[status(thm)],[c4,c7]) ).
cnf(c9,plain,
divide(divide(inverse(X2),X),inverse(X)) = multiply(divide(inverse(X2),X),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
multiply(divide(inverse(X2),X),X) = divide(divide(inverse(X2),X),inverse(X)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
inverse(multiply(divide(inverse(X2),X),X)) = inverse(divide(divide(inverse(X2),X),inverse(X))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,plain,
inverse(divide(divide(inverse(X3),X2),inverse(X2))) = divide(divide(X,X),divide(divide(inverse(X3),X2),inverse(X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c13,plain,
inverse(divide(X,X)) = divide(divide(X,X),divide(X,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c14,plain,
divide(inverse(divide(X2,X2)),X) = divide(divide(divide(X2,X2),divide(X2,X2)),X),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
inverse(X) = divide(divide(divide(X2,X2),divide(X2,X2)),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c16,plain,
divide(divide(divide(X2,X2),divide(X2,X2)),X) = inverse(X),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
divide(inverse(divide(X2,X2)),X) = inverse(X),
inference(transitivity,[status(thm)],[c14,c16]) ).
cnf(c18,plain,
divide(inverse(divide(X,X)),X2) = inverse(X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
inverse(X2) = divide(inverse(divide(X,X)),X2),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
divide(divide(inverse(X3),X2),inverse(X2)) = divide(divide(inverse(X3),X2),divide(inverse(divide(X,X)),X2)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
divide(divide(X,X),divide(divide(inverse(X3),X2),inverse(X2))) = divide(divide(X,X),divide(divide(inverse(X3),X2),divide(inverse(divide(X,X)),X2))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
inverse(X2) = divide(divide(X,X),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c23,plain,
divide(inverse(X3),X) = divide(divide(divide(X2,X2),X3),X),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
divide(divide(inverse(X2),X),divide(inverse(X3),X)) = divide(divide(inverse(X2),X),divide(divide(divide(X2,X2),X3),X)),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
divide(X3,divide(divide(inverse(X2),X),divide(inverse(X3),X))) = divide(X3,divide(divide(inverse(X2),X),divide(divide(divide(X2,X2),X3),X))),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
inverse(X) = divide(divide(X,X),X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c27,plain,
divide(inverse(X2),X) = divide(divide(divide(X2,X2),X2),X),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
divide(divide(inverse(X2),X),divide(divide(divide(X2,X2),X3),X)) = divide(divide(divide(divide(X2,X2),X2),X),divide(divide(divide(X2,X2),X3),X)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
divide(X3,divide(divide(inverse(X2),X),divide(divide(divide(X2,X2),X3),X))) = divide(X3,divide(divide(divide(divide(X2,X2),X2),X),divide(divide(divide(X2,X2),X3),X))),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,axiom,
divide(A2,divide(divide(divide(divide(B2,B2),B2),C2),divide(divide(divide(B2,B2),A2),C2))) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c31,plain,
divide(X3,divide(divide(divide(divide(X2,X2),X2),X),divide(divide(divide(X2,X2),X3),X))) = X2,
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
divide(X3,divide(divide(inverse(X2),X),divide(divide(divide(X2,X2),X3),X))) = X2,
inference(transitivity,[status(thm)],[c29,c31]) ).
cnf(c33,plain,
divide(X3,divide(divide(inverse(X2),X),divide(inverse(X3),X))) = X2,
inference(transitivity,[status(thm)],[c25,c32]) ).
cnf(c34,plain,
divide(divide(X,X),divide(divide(inverse(X3),X2),divide(inverse(divide(X,X)),X2))) = X3,
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
divide(divide(X,X),divide(divide(inverse(X3),X2),inverse(X2))) = X3,
inference(transitivity,[status(thm)],[c21,c34]) ).
cnf(c36,plain,
inverse(divide(divide(inverse(X2),X),inverse(X))) = X2,
inference(transitivity,[status(thm)],[c12,c35]) ).
cnf(c37,plain,
inverse(multiply(divide(inverse(X2),X),X)) = X2,
inference(transitivity,[status(thm)],[c11,c36]) ).
cnf(c38,plain,
inverse(multiply(divide(inverse(multiply(inverse(X2),X2)),X),X)) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c37]) ).
cnf(c39,plain,
multiply(inverse(X2),X2) = inverse(multiply(divide(inverse(multiply(inverse(X2),X2)),X),X)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
divide(inverse(divide(X,X)),X2) = inverse(X2),
inference(substitution,[status(thm)],[c17]) ).
cnf(c41,plain,
inverse(X2) = divide(inverse(divide(X,X)),X2),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
multiply(inverse(X2),X2) = multiply(divide(inverse(divide(X,X)),X2),X2),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
inverse(multiply(inverse(X2),X2)) = inverse(multiply(divide(inverse(divide(X,X)),X2),X2)),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
inverse(multiply(divide(inverse(divide(X,X)),X2),X2)) = divide(X,X),
inference(substitution,[status(thm)],[c37]) ).
cnf(c45,plain,
inverse(multiply(inverse(X),X)) = divide(X2,X2),
inference(transitivity,[status(thm)],[c43,c44]) ).
cnf(c46,plain,
divide(inverse(multiply(inverse(X3),X3)),X2) = divide(divide(X,X),X2),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
multiply(divide(inverse(multiply(inverse(X3),X3)),X2),X2) = multiply(divide(divide(X,X),X2),X2),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
inverse(multiply(divide(inverse(multiply(inverse(X3),X3)),X2),X2)) = inverse(multiply(divide(divide(X,X),X2),X2)),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
divide(X,X) = inverse(multiply(inverse(X2),X2)),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c50,plain,
divide(divide(X,X),X2) = divide(inverse(multiply(inverse(X3),X3)),X2),
inference(congruence,[status(thm)],[c49]) ).
cnf(c51,plain,
multiply(divide(divide(X,X),X2),X2) = multiply(divide(inverse(multiply(inverse(X3),X3)),X2),X2),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
inverse(multiply(divide(divide(X,X),X2),X2)) = inverse(multiply(divide(inverse(multiply(inverse(X3),X3)),X2),X2)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
inverse(multiply(divide(inverse(multiply(inverse(X2),X2)),X),X)) = multiply(inverse(X2),X2),
inference(substitution,[status(thm)],[c37]) ).
cnf(c54,plain,
inverse(multiply(divide(divide(X,X),X2),X2)) = multiply(inverse(X3),X3),
inference(transitivity,[status(thm)],[c52,c53]) ).
cnf(c55,plain,
inverse(multiply(divide(inverse(multiply(inverse(X2),X2)),X),X)) = multiply(inverse(X3),X3),
inference(transitivity,[status(thm)],[c48,c54]) ).
cnf(c56,plain,
multiply(inverse(X),X) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c39,c55]) ).
cnf(c57,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(substitution,[status(thm)],[c56]) ).
cnf(c58,plain,
$false,
inference(resolution,[status(thm)],[c1,c57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.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 10:09:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.46 Command-line arguments: --no-flatten-goal
% 0.13/0.46
% 0.13/0.46 % SZS status Unsatisfiable
% 0.13/0.46
% 0.13/0.46 % SZS output start CNFRefutation
% See solution above
% 0.41/0.50
% 0.41/0.50 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------