%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP466-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 10:10:33 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 3 RR)
% Number of literals : 32 ( 31 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 101 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c2,axiom,
multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c3,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
multiply(divide(X3,divide(X2,X)),X2) = divide(divide(X3,divide(X2,X)),inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c5,plain,
divide(X3,multiply(divide(X2,divide(X,X3)),X)) = divide(X3,divide(divide(X2,divide(X,X3)),inverse(X))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
divide(divide(X4,X4),divide(X3,multiply(divide(X2,divide(X,X3)),X))) = divide(divide(X4,X4),divide(X3,divide(divide(X2,divide(X,X3)),inverse(X)))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,axiom,
divide(divide(A2,A2),divide(B2,divide(divide(C,divide(D,B2)),inverse(D)))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c8,plain,
divide(divide(X4,X4),divide(X3,divide(divide(X2,divide(X,X3)),inverse(X)))) = X2,
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
divide(divide(X4,X4),divide(X3,multiply(divide(X2,divide(X,X3)),X))) = X2,
inference(transitivity,[status(thm)],[c6,c8]) ).
cnf(c10,plain,
divide(divide(X2,X2),divide(multiply(divide(X,divide(X5,X4)),X5),multiply(divide(divide(X3,X3),divide(X4,multiply(divide(X,divide(X5,X4)),X5))),X4))) = divide(X3,X3),
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
divide(X5,X5) = divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(divide(divide(X5,X5),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X))),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
divide(divide(X4,X4),divide(X,multiply(divide(X3,divide(X2,X)),X2))) = X3,
inference(substitution,[status(thm)],[c9]) ).
cnf(c13,plain,
multiply(divide(divide(X4,X4),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X) = multiply(X3,X),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
divide(multiply(divide(X3,divide(X2,X)),X2),multiply(divide(divide(X4,X4),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X)) = divide(multiply(divide(X3,divide(X2,X)),X2),multiply(X3,X)),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(divide(divide(X5,X5),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X))) = divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(X3,X))),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
divide(divide(X4,X4),divide(X,multiply(divide(X3,divide(X2,X)),X2))) = X3,
inference(substitution,[status(thm)],[c9]) ).
cnf(c17,plain,
X3 = divide(divide(X4,X4),divide(X,multiply(divide(X3,divide(X2,X)),X2))),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
multiply(X3,X) = multiply(divide(divide(X4,X4),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,plain,
divide(multiply(divide(X3,divide(X2,X)),X2),multiply(X3,X)) = divide(multiply(divide(X3,divide(X2,X)),X2),multiply(divide(divide(X4,X4),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X)),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,plain,
divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(X3,X))) = divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(divide(divide(X5,X5),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(divide(divide(X5,X5),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X))) = divide(X5,X5),
inference(substitution,[status(thm)],[c9]) ).
cnf(c22,plain,
divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(X3,X))) = divide(X5,X5),
inference(transitivity,[status(thm)],[c20,c21]) ).
cnf(c23,plain,
divide(divide(X4,X4),divide(multiply(divide(X3,divide(X2,X)),X2),multiply(divide(divide(X5,X5),divide(X,multiply(divide(X3,divide(X2,X)),X2))),X))) = divide(X6,X6),
inference(transitivity,[status(thm)],[c15,c22]) ).
cnf(c24,plain,
divide(X,X) = divide(X2,X2),
inference(transitivity,[status(thm)],[c11,c23]) ).
cnf(c25,plain,
divide(inverse(X2),inverse(X2)) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
divide(inverse(X),inverse(X)) = divide(inverse(X2),inverse(X2)),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c28,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X),X),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c29,plain,
divide(inverse(X),inverse(X)) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c26,c28]) ).
cnf(c30,plain,
multiply(inverse(X),X) = multiply(inverse(X2),X2),
inference(transitivity,[status(thm)],[c3,c29]) ).
cnf(c31,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
$false,
inference(resolution,[status(thm)],[c1,c31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP466-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 10:05:31 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 Command-line arguments: --no-flatten-goal
% 0.14/0.43
% 0.14/0.43 % SZS status Unsatisfiable
% 0.14/0.43
% 0.14/0.44 % SZS output start CNFRefutation
% See solution above
% 0.14/0.46
% 0.14/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------