%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD070-3 : 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 : 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 11:55:30 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% 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(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,b,b)
| ~ sum(a,b,add(a,b))
| ~ less_or_equal(additive_identity,a)
| less_or_equal(b,add(a,b)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l2,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(18,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_addition]) ).
cnf(l12,plain,
( ~ defined(a)
| ~ defined(b)
| sum(a,b,add(a,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l14,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
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,b)
| ~ less_or_equal(b,add(a,b))
| less_or_equal(additive_identity,add(a,b)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(30,plain,
~ less_or_equal(additive_identity,add(a,b)),
inference(cnf,[status(esa)],[not_less_or_equal_5]) ).
cnf(l10,plain,
~ less_or_equal(additive_identity,add(a,b)),
inference(instantiation,[status(thm)],[30]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l13,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(29,plain,
less_or_equal(additive_identity,b),
inference(cnf,[status(esa)],[less_or_equal_4]) ).
cnf(l5,plain,
less_or_equal(additive_identity,b),
inference(instantiation,[status(thm)],[29]) ).
cnf(l7,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l12,l14,l4,l10,l13,l5,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD070-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 10:00:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------