%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD037-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 11:55:21 AM UTC 2025
% Result : Unsatisfiable 3.62s 0.78s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named multiplicative_identity_not_equal_to_multiply_5)
% Comments :
%------------------------------------------------------------------------------
cnf(31,plain,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
inference(cnf,[status(esa)],[multiplicative_identity_not_equal_to_multiply_5]) ).
cnf(l0,plain,
~ equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
inference(instantiation,[status(thm)],[31]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l1,plain,
( ~ equalish(multiplicative_identity,multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiply(b,multiplicative_inverse(a)))
| equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(24,plain,
( ~ defined(X0)
| ~ equalish(X1,X2)
| equalish(multiply(X1,X0),multiply(X2,X0)) ),
inference(cnf,[status(esa)],[compatibility_of_equality_and_multiplication]) ).
cnf(l26,plain,
( ~ defined(multiplicative_inverse(a))
| ~ equalish(a,b)
| equalish(multiply(a,multiplicative_inverse(a)),multiply(b,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(14,plain,
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_inverse]) ).
cnf(l39,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a))
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l44,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(29,plain,
~ equalish(a,additive_identity),
inference(cnf,[status(esa)],[a_not_equal_to_additive_identity_3]) ).
cnf(l40,plain,
~ equalish(a,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l2,plain,
( ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| equalish(multiplicative_identity,multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(30,plain,
equalish(a,b),
inference(cnf,[status(esa)],[a_equals_b_4]) ).
cnf(l34,plain,
equalish(a,b),
inference(instantiation,[status(thm)],[30]) ).
cnf(6,plain,
( ~ defined(X0)
| equalish(X0,additive_identity)
| equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_multiplication]) ).
cnf(l3,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l9,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l6,plain,
~ equalish(a,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l26,l39,l44,l40,l2,l34,l3,l9,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD037-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 09:40:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 3.62/0.78 % SZS status Theorem for theBenchmark
% 3.62/0.78 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------