%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 09:35:26 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.23s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 6 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
inverse(multiplicative_identity) != additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_1_is_0) ).
cnf(c2,axiom,
multiply(X,Y) = multiply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
cnf(c3,plain,
multiply(X2,multiplicative_identity) = multiply(multiplicative_identity,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
multiply(multiplicative_identity,X2) = multiply(X2,multiplicative_identity),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
multiply(X2,multiplicative_identity) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
multiply(multiplicative_identity,X2) = X2,
inference(transitivity,[status(thm)],[c4,c5]) ).
cnf(c7,plain,
multiply(multiplicative_identity,inverse(multiplicative_identity)) = inverse(multiplicative_identity),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
inverse(multiplicative_identity) = multiply(multiplicative_identity,inverse(multiplicative_identity)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,axiom,
multiply(X2,inverse(X2)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
cnf(c10,plain,
multiply(multiplicative_identity,inverse(multiplicative_identity)) = additive_identity,
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
inverse(multiplicative_identity) = additive_identity,
inference(transitivity,[status(thm)],[c8,c10]) ).
cnf(c12,plain,
$false,
inference(resolution,[status(thm)],[c1,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO018-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.15 % Computer : n017.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Mon Sep 28 20:59:51 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.23 Command-line arguments: --no-flatten-goal
% 0.09/0.23
% 0.09/0.23 % SZS status Unsatisfiable
% 0.09/0.23
% 0.09/0.23 % SZS output start CNFRefutation
% See solution above
% 0.09/0.23
% 0.09/0.23 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------