%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD063-3 : 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 : n026.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 11:55:28 AM UTC 2025
% Result : Unsatisfiable 46.87s 6.21s
% Output : CNFRefutation 46.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named less_or_equal_3)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
less_or_equal(additive_inverse(b),additive_inverse(a)),
inference(cnf,[status(esa)],[less_or_equal_3]) ).
cnf(l0,plain,
less_or_equal(additive_inverse(b),additive_inverse(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_inverse(b),add(a,b),add(additive_identity,a))
| ~ sum(additive_inverse(a),add(a,b),b)
| ~ less_or_equal(additive_inverse(b),additive_inverse(a))
| less_or_equal(add(additive_identity,a),b) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(0,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X1,X3,X4)
| ~ sum(X2,X3,X5)
| sum(X0,X4,X5) ),
inference(cnf,[status(esa)],[associativity_addition_1]) ).
cnf(l115,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| ~ sum(b,a,add(a,b))
| ~ sum(additive_identity,a,add(additive_identity,a))
| sum(additive_inverse(b),add(a,b),add(additive_identity,a)) ),
inference(instantiation,[status(thm)],[0]) ).
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(l194,plain,
( ~ less_or_equal(a,add(additive_identity,a))
| ~ less_or_equal(add(additive_identity,a),b)
| less_or_equal(a,b) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(1,plain,
( ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4)
| ~ sum(X1,X5,X3)
| sum(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity_addition_2]) ).
cnf(l2,plain,
( ~ sum(additive_identity,additive_inverse(a),additive_inverse(a))
| ~ sum(additive_identity,add(additive_identity,b),b)
| ~ sum(additive_inverse(a),add(a,b),add(additive_identity,b))
| sum(additive_inverse(a),add(a,b),b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ sum(additive_identity,additive_identity,additive_identity)
| ~ sum(additive_identity,b,add(additive_identity,b))
| ~ sum(additive_identity,b,b)
| sum(additive_identity,add(additive_identity,b),b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l13,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,b,add(a,b))
| ~ sum(additive_identity,b,add(additive_identity,b))
| sum(additive_inverse(a),add(a,b),add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l3,plain,
( ~ defined(additive_inverse(a))
| sum(additive_identity,additive_inverse(a),additive_inverse(a)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l125,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l117,plain,
( ~ sum(a,b,add(a,b))
| sum(b,a,add(a,b)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(18,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_addition]) ).
cnf(l127,plain,
( ~ defined(a)
| ~ defined(b)
| sum(a,b,add(a,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(14,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
inference(cnf,[status(esa)],[well_definedness_of_additive_inverse]) ).
cnf(l16,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l30,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l131,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l31,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l7,plain,
( ~ defined(additive_identity)
| sum(additive_identity,additive_identity,additive_identity) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l133,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l41,plain,
( ~ defined(additive_identity)
| ~ defined(b)
| sum(additive_identity,b,add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(13,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l8,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l46,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l128,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l15,plain,
( ~ defined(a)
| ~ defined(b)
| sum(a,b,add(a,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l56,plain,
( ~ defined(additive_identity)
| ~ defined(b)
| sum(additive_identity,b,add(additive_identity,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l34,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l20,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l47,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l65,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l24,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l54,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l55,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l199,plain,
( ~ sum(additive_identity,a,a)
| ~ sum(additive_identity,a,add(additive_identity,a))
| ~ less_or_equal(additive_identity,additive_identity)
| less_or_equal(a,add(additive_identity,a)) ),
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(l210,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(l275,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l206,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(29,plain,
~ less_or_equal(a,b),
inference(cnf,[status(esa)],[not_less_or_equal_4]) ).
cnf(l224,plain,
~ less_or_equal(a,b),
inference(instantiation,[status(thm)],[29]) ).
cnf(l57,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l202,plain,
( ~ defined(additive_identity)
| ~ defined(a)
| sum(additive_identity,a,add(additive_identity,a)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l215,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l272,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l193,plain,
( ~ defined(additive_identity)
| ~ defined(a)
| sum(additive_identity,a,add(additive_identity,a)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l264,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l197,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l195,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l278,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l115,l194,l2,l5,l13,l3,l125,l117,l127,l16,l30,l131,l31,l7,l133,l41,l8,l46,l128,l15,l56,l34,l20,l47,l65,l24,l54,l55,l199,l210,l275,l206,l224,l57,l202,l215,l272,l193,l264,l197,l195,l278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD063-3 : 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
% 0.14/0.34 % Computer : n026.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 09:58:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.35 % launching worker at depth: 10
% 0.14/0.37 % launching worker at depth: 11
% 6.07/1.13 % launching worker at depth: 12
% 46.87/6.21 % SZS status Theorem for theBenchmark
% 46.87/6.21 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------