%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP457-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 10:10:32 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 16 ( 15 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 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 : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(inverse(a1),a1) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(c2,axiom,
inverse(A) = divide(identity,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c3,plain,
inverse(X) = divide(identity,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
divide(X2,inverse(X)) = divide(X2,divide(identity,X)),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,axiom,
multiply(A2,B) = divide(A2,divide(identity,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c6,plain,
multiply(X2,X) = divide(X2,divide(identity,X)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
divide(X2,divide(identity,X)) = multiply(X2,X),
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(inverse(X),inverse(X)) = multiply(inverse(X),X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
multiply(inverse(X),X) = divide(inverse(X),inverse(X)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
identity = divide(A2,A2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c12,plain,
identity = divide(inverse(X),inverse(X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
divide(inverse(X),inverse(X)) = identity,
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
multiply(inverse(X),X) = identity,
inference(transitivity,[status(thm)],[c10,c13]) ).
cnf(c15,plain,
multiply(inverse(a1),a1) = identity,
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
$false,
inference(resolution,[status(thm)],[c1,c15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP457-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.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 10:07:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.44 Command-line arguments: --no-flatten-goal
% 0.10/0.44
% 0.10/0.44 % SZS status Unsatisfiable
% 0.10/0.44
% 0.10/0.44 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45
% 0.10/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------