%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD060-1 : 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 2.44s 0.70s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named not_less_or_equal_4)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
~ less_or_equal(add(a,a),add(b,b)),
inference(cnf,[status(esa)],[not_less_or_equal_4]) ).
cnf(l0,plain,
~ less_or_equal(add(a,a),add(b,b)),
inference(instantiation,[status(thm)],[30]) ).
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(add(a,a),add(b,a))
| ~ less_or_equal(add(b,a),add(b,b))
| less_or_equal(add(a,a),add(b,b)) ),
inference(instantiation,[status(thm)],[16]) ).
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(l36,plain,
( ~ defined(a)
| ~ less_or_equal(a,b)
| less_or_equal(add(a,a),add(b,a)) ),
inference(instantiation,[status(thm)],[18]) ).
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(add(a,b),add(b,a))
| ~ less_or_equal(add(a,b),add(b,b))
| less_or_equal(add(b,a),add(b,b)) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l37,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(29,plain,
less_or_equal(a,b),
inference(cnf,[status(esa)],[less_or_equal_3]) ).
cnf(l39,plain,
less_or_equal(a,b),
inference(instantiation,[status(thm)],[29]) ).
cnf(3,plain,
( ~ defined(X0)
| ~ defined(X1)
| equalish(add(X0,X1),add(X1,X0)) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l3,plain,
( ~ defined(a)
| ~ defined(b)
| equalish(add(a,b),add(b,a)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l22,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l5,plain,
( ~ defined(b)
| ~ less_or_equal(a,b)
| less_or_equal(add(a,b),add(b,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(28,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l15,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l24,plain,
defined(b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l16,plain,
less_or_equal(a,b),
inference(instantiation,[status(thm)],[29]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l36,l2,l37,l39,l3,l22,l5,l15,l24,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD060-1 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 09:56:19 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.20/0.39 % launching worker at depth: 11
% 2.44/0.70 % SZS status Theorem for theBenchmark
% 2.44/0.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------