%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD064-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n022.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 11:55:28 AM UTC 2025
% Result : Unsatisfiable 36.83s 4.97s
% Output : CNFRefutation 36.83s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named not_less_or_equal_3)
% Comments :
%------------------------------------------------------------------------------
cnf(29,plain,
~ less_or_equal(additive_inverse(a),additive_identity),
inference(cnf,[status(esa)],[not_less_or_equal_3]) ).
cnf(l0,plain,
~ less_or_equal(additive_inverse(a),additive_identity),
inference(instantiation,[status(thm)],[29]) ).
cnf(16,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2)
| less_or_equal(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_of_order_relation]) ).
cnf(l1,plain,
( ~ less_or_equal(additive_inverse(a),add(a,additive_inverse(a)))
| ~ less_or_equal(add(a,additive_inverse(a)),additive_identity)
| less_or_equal(additive_inverse(a),additive_identity) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(25,plain,
( ~ equalish(X0,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X1,X2) ),
inference(cnf,[status(esa)],[compatibility_of_equality_and_order_relation]) ).
cnf(l2,plain,
( ~ equalish(additive_identity,add(a,additive_inverse(a)))
| ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(add(a,additive_inverse(a)),additive_identity) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l71,plain,
( ~ equalish(add(additive_identity,additive_inverse(a)),additive_inverse(a))
| ~ less_or_equal(add(additive_identity,additive_inverse(a)),add(a,additive_inverse(a)))
| less_or_equal(additive_inverse(a),add(a,additive_inverse(a))) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(1,plain,
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l72,plain,
( ~ defined(additive_inverse(a))
| equalish(add(additive_identity,additive_inverse(a)),additive_inverse(a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(17,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
inference(cnf,[status(esa)],[totality_of_order_relation]) ).
cnf(l5,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| less_or_equal(additive_identity,additive_identity)
| less_or_equal(additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(10,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l8,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[10]) ).
cnf(11,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
inference(cnf,[status(esa)],[well_definedness_of_additive_inverse]) ).
cnf(l88,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(18,plain,
( ~ defined(X0)
| ~ less_or_equal(X1,X2)
| less_or_equal(add(X1,X0),add(X2,X0)) ),
inference(cnf,[status(esa)],[compatibility_of_order_relation_and_addition]) ).
cnf(l74,plain,
( ~ defined(additive_inverse(a))
| ~ less_or_equal(additive_identity,a)
| less_or_equal(add(additive_identity,additive_inverse(a)),add(a,additive_inverse(a))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l81,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l53,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[10]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l3,plain,
( ~ equalish(add(a,additive_inverse(a)),additive_identity)
| equalish(additive_identity,add(a,additive_inverse(a))) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l90,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(2,plain,
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l120,plain,
( ~ defined(a)
| equalish(add(a,additive_inverse(a)),additive_identity) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l85,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l125,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(28,plain,
less_or_equal(additive_identity,a),
inference(cnf,[status(esa)],[less_or_equal_2]) ).
cnf(l76,plain,
less_or_equal(additive_identity,a),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l71,l72,l5,l8,l88,l74,l81,l53,l3,l90,l120,l85,l125,l76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : FLD064-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.29 % Computer : n022.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun Jul 20 09:58:19 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % launching worker at depth: 3
% 0.10/0.30 % launching worker at depth: 7
% 0.10/0.30 % launching worker at depth: 6
% 0.10/0.30 % launching worker at depth: 2
% 0.10/0.30 % launching worker at depth: 5
% 0.10/0.30 % launching worker at depth: 1
% 0.10/0.30 % launching worker at depth: 4
% 0.10/0.30 % launching worker at depth: 8
% 0.10/0.30 % launching worker at depth: 9
% 0.10/0.30 % launching worker at depth: 10
% 0.14/0.34 % launching worker at depth: 11
% 0.14/0.53 % launching worker at depth: 12
% 36.83/4.97 % SZS status Theorem for theBenchmark
% 36.83/4.97 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------