%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD059-4 : 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 : n021.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 11:55:27 AM UTC 2025
% Result : Unsatisfiable 2.35s 0.64s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named less_or_equal_3)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
less_or_equal(additive_identity,a),
inference(cnf,[status(esa)],[less_or_equal_3]) ).
cnf(l0,plain,
less_or_equal(additive_identity,a),
inference(instantiation,[status(thm)],[28]) ).
cnf(20,plain,
( ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X0)
| sum(additive_identity,X0,X1) ),
inference(cnf,[status(esa)],[antisymmetry_of_order_relation]) ).
cnf(l1,plain,
( ~ less_or_equal(a,additive_identity)
| ~ less_or_equal(additive_identity,a)
| sum(additive_identity,a,additive_identity) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(21,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(l2,plain,
( ~ less_or_equal(a,u)
| ~ less_or_equal(u,additive_identity)
| less_or_equal(a,additive_identity) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(23,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ less_or_equal(X0,X3)
| less_or_equal(X2,X4) ),
inference(cnf,[status(esa)],[compatibility_of_order_relation_and_addition]) ).
cnf(l109,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(additive_identity,a,additive_identity)
| ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(a,additive_identity) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(22,plain,
( ~ defined(X0)
| ~ defined(X1)
| less_or_equal(X0,X1)
| less_or_equal(X1,X0) ),
inference(cnf,[status(esa)],[totality_of_order_relation]) ).
cnf(l12,plain,
( ~ defined(additive_identity)
| ~ defined(u)
| less_or_equal(additive_identity,u)
| less_or_equal(u,additive_identity) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l114,plain,
( ~ less_or_equal(a,a)
| ~ less_or_equal(a,a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(l120,plain,
( ~ defined(a)
| ~ defined(a)
| less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l153,plain,
( ~ less_or_equal(a,additive_identity)
| ~ less_or_equal(additive_identity,u)
| less_or_equal(a,u) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l148,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l149,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l116,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)],[22]) ).
cnf(13,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l150,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l130,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l115,plain,
( ~ defined(a)
| ~ defined(a)
| less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l146,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(30,plain,
~ less_or_equal(additive_identity,u),
inference(cnf,[status(esa)],[not_less_or_equal_5]) ).
cnf(l30,plain,
~ less_or_equal(additive_identity,u),
inference(instantiation,[status(thm)],[30]) ).
cnf(27,plain,
defined(u),
inference(cnf,[status(esa)],[u_is_defined]) ).
cnf(l19,plain,
defined(u),
inference(instantiation,[status(thm)],[27]) ).
cnf(l10,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(a,a,u)
| ~ less_or_equal(additive_identity,a)
| less_or_equal(a,u) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l22,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l177,plain,
( ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(a,u)
| less_or_equal(additive_identity,u) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l142,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l26,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l42,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(29,plain,
sum(a,a,u),
inference(cnf,[status(esa)],[sum_4]) ).
cnf(l13,plain,
sum(a,a,u),
inference(instantiation,[status(thm)],[29]) ).
cnf(l182,plain,
( ~ sum(additive_identity,a,additive_identity)
| ~ sum(a,a,u)
| ~ less_or_equal(additive_identity,a)
| less_or_equal(additive_identity,u) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(l186,plain,
sum(a,a,u),
inference(instantiation,[status(thm)],[29]) ).
cnf(l178,plain,
~ less_or_equal(additive_identity,u),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l109,l12,l114,l120,l153,l148,l149,l116,l150,l130,l115,l146,l30,l19,l10,l22,l177,l142,l26,l42,l13,l182,l186,l178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD059-4 : 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 : n021.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 09:56:04 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
% 0.12/0.35 % launching worker at depth: 10
% 1.73/0.56 % launching worker at depth: 11
% 2.35/0.64 % SZS status Theorem for theBenchmark
% 2.35/0.64 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------