%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD004-1 : 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 : n019.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 11:55:13 AM UTC 2025
% Result : Unsatisfiable 21.80s 3.09s
% Output : CNFRefutation 21.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named multiply_not_equal_to_a_4)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a),
inference(cnf,[status(esa)],[multiply_not_equal_to_a_4]) ).
cnf(l0,plain,
~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a),
inference(instantiation,[status(thm)],[30]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l1,plain,
( ~ equalish(multiply(a,multiply(b,multiplicative_inverse(b))),multiply(multiply(b,multiplicative_inverse(b)),a))
| ~ equalish(multiply(multiply(b,multiplicative_inverse(b)),a),a)
| equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l40,plain,
( ~ equalish(multiply(multiply(b,multiplicative_inverse(b)),a),multiply(multiplicative_identity,a))
| ~ equalish(multiply(multiplicative_identity,a),a)
| equalish(multiply(multiply(b,multiplicative_inverse(b)),a),a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(7,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
inference(cnf,[status(esa)],[commutativity_multiplication]) ).
cnf(l2,plain,
( ~ defined(a)
| ~ defined(multiply(b,multiplicative_inverse(b)))
| equalish(multiply(a,multiply(b,multiplicative_inverse(b))),multiply(multiply(b,multiplicative_inverse(b)),a)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(12,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(multiply(X0,X1)) ),
inference(cnf,[status(esa)],[well_definedness_of_multiplication]) ).
cnf(l4,plain,
( ~ defined(b)
| ~ defined(multiplicative_inverse(b))
| defined(multiply(b,multiplicative_inverse(b))) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l5,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(14,plain,
( ~ defined(X0)
| defined(multiplicative_inverse(X0))
| equalish(X0,additive_identity) ),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_inverse]) ).
cnf(l10,plain,
( ~ defined(b)
| defined(multiplicative_inverse(b))
| equalish(b,additive_identity) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(5,plain,
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l55,plain,
( ~ defined(a)
| equalish(multiply(multiplicative_identity,a),a) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l3,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l15,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l111,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(29,plain,
~ equalish(b,additive_identity),
inference(cnf,[status(esa)],[b_not_equal_to_additive_identity_3]) ).
cnf(l18,plain,
~ equalish(b,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
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(l57,plain,
( ~ defined(a)
| ~ equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity)
| equalish(multiply(multiply(b,multiplicative_inverse(b)),a),multiply(multiplicative_identity,a)) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l107,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
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(l120,plain,
( ~ defined(b)
| equalish(b,additive_identity)
| equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l123,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l121,plain,
~ equalish(b,additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l40,l2,l4,l5,l10,l55,l3,l15,l111,l18,l57,l107,l120,l123,l121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD004-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 09:32:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.20/0.53 % launching worker at depth: 12
% 21.80/3.09 % SZS status Theorem for theBenchmark
% 21.80/3.09 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------