%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD059-2 : 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 : n032.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 11:55:26 AM UTC 2025
% Result : Unsatisfiable 13.10s 1.92s
% Output : CNFRefutation 13.10s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named less_or_equal_3)
% Comments :
%------------------------------------------------------------------------------
cnf(29,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)],[29]) ).
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(l1,plain,
( ~ defined(a)
| ~ less_or_equal(additive_identity,a)
| less_or_equal(add(additive_identity,a),add(a,a)) ),
inference(instantiation,[status(thm)],[18]) ).
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(l4,plain,
( ~ less_or_equal(add(additive_identity,a),add(a,a))
| ~ less_or_equal(add(a,a),u)
| less_or_equal(add(additive_identity,a),u) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(27,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l63,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
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(l6,plain,
( ~ equalish(add(additive_identity,a),a)
| ~ less_or_equal(add(additive_identity,a),u)
| less_or_equal(a,u) ),
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(l30,plain,
( ~ defined(a)
| equalish(add(additive_identity,a),a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l31,plain,
defined(a),
inference(instantiation,[status(thm)],[27]) ).
cnf(l17,plain,
( ~ less_or_equal(additive_identity,a)
| ~ less_or_equal(a,u)
| less_or_equal(additive_identity,u) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(31,plain,
~ less_or_equal(additive_identity,u),
inference(cnf,[status(esa)],[not_less_or_equal_5]) ).
cnf(l21,plain,
~ less_or_equal(additive_identity,u),
inference(instantiation,[status(thm)],[31]) ).
cnf(l44,plain,
( ~ equalish(u,add(a,a))
| ~ less_or_equal(u,u)
| less_or_equal(add(a,a),u) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(21,plain,
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_equality]) ).
cnf(l45,plain,
( ~ equalish(add(a,a),u)
| equalish(u,add(a,a)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(30,plain,
equalish(add(a,a),u),
inference(cnf,[status(esa)],[add_equals_u_4]) ).
cnf(l46,plain,
equalish(add(a,a),u),
inference(instantiation,[status(thm)],[30]) ).
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(l47,plain,
( ~ defined(u)
| ~ defined(u)
| less_or_equal(u,u)
| less_or_equal(u,u) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(28,plain,
defined(u),
inference(cnf,[status(esa)],[u_is_defined]) ).
cnf(l55,plain,
defined(u),
inference(instantiation,[status(thm)],[28]) ).
cnf(l48,plain,
defined(u),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l63,l6,l30,l31,l17,l21,l44,l45,l46,l47,l55,l48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : FLD059-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.02/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Sun Jul 20 09:55:49 EDT 2025
% 0.09/0.27 % CPUTime :
% 0.09/0.28 % launching worker at depth: 1
% 0.09/0.28 % launching worker at depth: 6
% 0.09/0.28 % launching worker at depth: 5
% 0.09/0.28 % launching worker at depth: 3
% 0.09/0.28 % launching worker at depth: 8
% 0.09/0.28 % launching worker at depth: 7
% 0.09/0.28 % launching worker at depth: 2
% 0.09/0.28 % launching worker at depth: 4
% 0.09/0.28 % launching worker at depth: 9
% 0.09/0.28 % launching worker at depth: 10
% 0.11/0.31 % launching worker at depth: 11
% 4.01/0.82 % launching worker at depth: 12
% 13.10/1.92 % SZS status Theorem for theBenchmark
% 13.10/1.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------