%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD031-1 : 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 : n026.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 11:55:20 AM UTC 2025
% Result : Unsatisfiable 59.81s 7.82s
% Output : CNFRefutation 59.81s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named a_equals_multiplicative_identity_2)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
equalish(a,multiplicative_identity),
inference(cnf,[status(esa)],[a_equals_multiplicative_identity_2]) ).
cnf(l0,plain,
equalish(a,multiplicative_identity),
inference(instantiation,[status(thm)],[28]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l1,plain,
( ~ equalish(a,multiplicative_identity)
| ~ equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(a)))
| equalish(a,multiply(multiplicative_identity,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l81,plain,
( ~ equalish(multiplicative_identity,multiply(a,multiplicative_inverse(a)))
| ~ equalish(multiply(a,multiplicative_inverse(a)),multiply(multiplicative_identity,multiplicative_inverse(a)))
| equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l3,plain,
( ~ equalish(a,multiply(multiplicative_identity,multiplicative_inverse(a)))
| ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiplicative_inverse(a))
| equalish(a,multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l114,plain,
( ~ equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity)
| equalish(multiplicative_identity,multiply(a,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l4,plain,
( ~ equalish(multiplicative_identity,a)
| ~ equalish(a,multiplicative_inverse(a))
| equalish(multiplicative_identity,multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l6,plain,
( ~ equalish(multiplicative_identity,multiplicative_inverse(a))
| equalish(multiplicative_inverse(a),multiplicative_identity) ),
inference(instantiation,[status(thm)],[21]) ).
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(l82,plain,
( ~ defined(multiplicative_inverse(a))
| ~ equalish(a,multiplicative_identity)
| equalish(multiply(a,multiplicative_inverse(a)),multiply(multiplicative_identity,multiplicative_inverse(a))) ),
inference(instantiation,[status(thm)],[24]) ).
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(l115,plain,
( ~ defined(a)
| equalish(a,additive_identity)
| equalish(multiply(a,multiplicative_inverse(a)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(29,plain,
~ equalish(a,additive_identity),
inference(cnf,[status(esa)],[a_not_equal_to_additive_identity_3]) ).
cnf(l116,plain,
~ equalish(a,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l117,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l8,plain,
( ~ equalish(a,multiplicative_identity)
| equalish(multiplicative_identity,a) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(30,plain,
~ equalish(multiplicative_inverse(a),multiplicative_identity),
inference(cnf,[status(esa)],[multiplicative_inverses_not_equal]) ).
cnf(l20,plain,
~ equalish(multiplicative_inverse(a),multiplicative_identity),
inference(instantiation,[status(thm)],[30]) ).
cnf(5,plain,
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l42,plain,
( ~ defined(multiplicative_inverse(a))
| equalish(multiply(multiplicative_identity,multiplicative_inverse(a)),multiplicative_inverse(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(14,plain,
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_inverse]) ).
cnf(l85,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a))
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l112,plain,
~ equalish(a,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(l108,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l49,plain,
( ~ defined(a)
| defined(multiplicative_inverse(a))
| equalish(a,additive_identity) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l55,plain,
~ equalish(a,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(l53,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l81,l3,l114,l4,l6,l82,l115,l116,l117,l8,l20,l42,l85,l112,l108,l49,l55,l53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : FLD031-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 09:39:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 3
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 2.81/0.70 % launching worker at depth: 12
% 59.81/7.82 % SZS status Theorem for theBenchmark
% 59.81/7.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------