%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD059-3 : 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 : n024.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 4.10s 0.90s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named less_or_equal_2)
% Comments :
%------------------------------------------------------------------------------
cnf(27,plain,
less_or_equal(additive_identity,a),
inference(cnf,[status(esa)],[less_or_equal_2]) ).
cnf(l0,plain,
less_or_equal(additive_identity,a),
inference(instantiation,[status(thm)],[27]) ).
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(l1,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(a,a,add(a,a))
| ~ less_or_equal(additive_identity,a)
| less_or_equal(a,add(a,a)) ),
inference(instantiation,[status(thm)],[23]) ).
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(l4,plain,
( ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(a,add(a,a))
| less_or_equal(additive_identity,add(a,a)) ),
inference(instantiation,[status(thm)],[21]) ).
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(l2,plain,
( ~ less_or_equal(a,a)
| ~ less_or_equal(a,a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(18,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_addition]) ).
cnf(l74,plain,
( ~ defined(a)
| ~ defined(a)
| sum(a,a,add(a,a)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l75,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
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(l9,plain,
( ~ defined(a)
| ~ defined(a)
| less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l16,plain,
( ~ defined(a)
| ~ defined(a)
| less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l15,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l17,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l10,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(28,plain,
~ less_or_equal(additive_identity,add(a,a)),
inference(cnf,[status(esa)],[not_less_or_equal_3]) ).
cnf(l25,plain,
~ less_or_equal(additive_identity,add(a,a)),
inference(instantiation,[status(thm)],[28]) ).
cnf(l18,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l76,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l74,l75,l9,l16,l15,l17,l10,l25,l18,l76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD059-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Jul 20 09:56:04 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.37 % launching worker at depth: 10
% 0.20/0.40 % launching worker at depth: 11
% 4.10/0.90 % SZS status Theorem for theBenchmark
% 4.10/0.90 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------