%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD010-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 11:55:14 AM UTC 2025
% Result : Unsatisfiable 2.48s 0.69s
% Output : CNFRefutation 2.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named multiplicative_inv_not_equal_to_multiplicative_id_2)
% Comments :
%------------------------------------------------------------------------------
cnf(27,plain,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
inference(cnf,[status(esa)],[multiplicative_inv_not_equal_to_multiplicative_id_2]) ).
cnf(l0,plain,
~ equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity),
inference(instantiation,[status(thm)],[27]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l1,plain,
( ~ equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| equalish(multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(22,plain,
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_equality]) ).
cnf(l2,plain,
( ~ equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)))
| ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity))
| equalish(multiplicative_identity,multiplicative_inverse(multiplicative_identity)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l3,plain,
( ~ equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity)
| equalish(multiplicative_identity,multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity))) ),
inference(instantiation,[status(thm)],[21]) ).
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(l18,plain,
( ~ defined(multiplicative_identity)
| equalish(multiplicative_identity,additive_identity)
| equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
( ~ defined(X0)
| equalish(multiply(multiplicative_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_multiplication]) ).
cnf(l4,plain,
( ~ defined(multiplicative_inverse(multiplicative_identity))
| equalish(multiply(multiplicative_identity,multiplicative_inverse(multiplicative_identity)),multiplicative_inverse(multiplicative_identity)) ),
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(l5,plain,
( ~ defined(multiplicative_identity)
| defined(multiplicative_inverse(multiplicative_identity))
| equalish(multiplicative_identity,additive_identity) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l14,plain,
( ~ equalish(multiplicative_identity,additive_identity)
| equalish(additive_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l76,plain,
( ~ equalish(multiplicative_identity,additive_identity)
| equalish(additive_identity,multiplicative_identity) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(26,plain,
~ equalish(additive_identity,multiplicative_identity),
inference(cnf,[status(esa)],[different_identities]) ).
cnf(l35,plain,
~ equalish(additive_identity,multiplicative_identity),
inference(instantiation,[status(thm)],[26]) ).
cnf(13,plain,
defined(multiplicative_identity),
inference(cnf,[status(esa)],[well_definedness_of_multiplicative_identity]) ).
cnf(l10,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l74,plain,
defined(multiplicative_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l97,plain,
~ equalish(additive_identity,multiplicative_identity),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l18,l4,l5,l14,l76,l35,l10,l74,l97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : FLD010-1 : TPTP v9.0.0. Bugfixed v2.7.0.
% 0.05/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Computer : n029.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Jul 20 09:33:04 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.21/0.36 % launching worker at depth: 1
% 0.21/0.36 % launching worker at depth: 3
% 0.21/0.36 % launching worker at depth: 4
% 0.21/0.36 % launching worker at depth: 5
% 0.21/0.36 % launching worker at depth: 6
% 0.21/0.36 % launching worker at depth: 2
% 0.21/0.36 % launching worker at depth: 7
% 0.21/0.36 % launching worker at depth: 8
% 0.21/0.36 % launching worker at depth: 9
% 0.21/0.37 % launching worker at depth: 10
% 0.21/0.38 % launching worker at depth: 11
% 0.21/0.40 % launching worker at depth: 12
% 2.48/0.69 % SZS status Theorem for theBenchmark
% 2.48/0.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------