%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP533-1 : 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 10:11:10 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.44s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 6 RR)
% Number of literals : 26 ( 25 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 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,divide(divide(C,C),B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c3,plain,
multiply(X3,X2) = divide(X3,divide(divide(X,X),X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
identity = divide(A2,A2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c5,plain,
identity = divide(X,X),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
divide(X,X) = identity,
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
divide(divide(X,X),X2) = divide(identity,X2),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
divide(X3,divide(divide(X,X),X2)) = divide(X3,divide(identity,X2)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,plain,
identity = divide(X,X),
inference(substitution,[status(thm)],[c4]) ).
cnf(c10,plain,
divide(identity,X2) = divide(divide(X,X),X2),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,axiom,
inverse(A2) = divide(divide(B2,B2),A2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c12,plain,
inverse(X2) = divide(divide(X,X),X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
divide(divide(X,X),X2) = inverse(X2),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
divide(identity,X) = inverse(X),
inference(transitivity,[status(thm)],[c10,c13]) ).
cnf(c15,plain,
divide(X2,divide(identity,X)) = divide(X2,inverse(X)),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
divide(X3,divide(divide(X,X),X2)) = divide(X3,inverse(X2)),
inference(transitivity,[status(thm)],[c8,c15]) ).
cnf(c17,plain,
multiply(X2,X) = divide(X2,inverse(X)),
inference(transitivity,[status(thm)],[c3,c16]) ).
cnf(c18,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
identity = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c4]) ).
cnf(c20,plain,
divide(inverse(X),inverse(X)) = identity,
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
multiply(inverse(X),X) = identity,
inference(transitivity,[status(thm)],[c18,c20]) ).
cnf(c22,plain,
multiply(inverse(a1),a1) = identity,
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
multiply(inverse(b1),b1) = identity,
inference(substitution,[status(thm)],[c21]) ).
cnf(c24,plain,
identity = multiply(inverse(b1),b1),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(transitivity,[status(thm)],[c22,c24]) ).
cnf(c26,plain,
$false,
inference(resolution,[status(thm)],[c1,c25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP533-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sun Sep 27 10:06:44 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.02/0.44 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
% 0.02/0.44
% 0.02/0.44 % SZS status Unsatisfiable
% 0.02/0.44
% 0.02/0.44 % SZS output start CNFRefutation
% See solution above
% 0.02/0.46
% 0.02/0.46 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------