%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD008-3 : 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 : n031.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 11:55:14 AM UTC 2025
% Result : Unsatisfiable 181.85s 23.17s
% Output : CNFRefutation 181.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named not_sum_3)
% Comments :
%------------------------------------------------------------------------------
cnf(28,plain,
~ sum(additive_identity,additive_inverse(add(a,b)),add(additive_inverse(a),additive_inverse(b))),
inference(cnf,[status(esa)],[not_sum_3]) ).
cnf(l0,plain,
~ sum(additive_identity,additive_inverse(add(a,b)),add(additive_inverse(a),additive_inverse(b))),
inference(instantiation,[status(thm)],[28]) ).
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(l1,plain,
( ~ sum(additive_inverse(a),add(add(a,b),additive_inverse(b)),additive_identity)
| ~ sum(additive_inverse(a),additive_inverse(b),add(additive_inverse(a),additive_inverse(b)))
| ~ sum(add(add(a,b),additive_inverse(b)),additive_inverse(add(a,b)),additive_inverse(b))
| sum(additive_identity,additive_inverse(add(a,b)),add(additive_inverse(a),additive_inverse(b))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l12,plain,
( ~ sum(additive_inverse(add(a,b)),add(add(a,b),additive_inverse(b)),additive_inverse(b))
| sum(add(add(a,b),additive_inverse(b)),additive_inverse(add(a,b)),additive_inverse(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(l3,plain,
( ~ defined(additive_inverse(a))
| ~ defined(additive_inverse(b))
| sum(additive_inverse(a),additive_inverse(b),add(additive_inverse(a),additive_inverse(b))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l2,plain,
( ~ sum(additive_identity,additive_inverse(a),additive_inverse(a))
| ~ sum(additive_identity,add(b,additive_inverse(b)),additive_identity)
| ~ sum(additive_inverse(a),add(add(a,b),additive_inverse(b)),add(b,additive_inverse(b)))
| sum(additive_inverse(a),add(add(a,b),additive_inverse(b)),additive_identity) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(14,plain,
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
inference(cnf,[status(esa)],[well_definedness_of_additive_inverse]) ).
cnf(l7,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(l13,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l15,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l6,plain,
( ~ defined(additive_inverse(a))
| sum(additive_identity,additive_inverse(a),additive_inverse(a)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l9,plain,
( ~ defined(a)
| defined(additive_inverse(a)) ),
inference(instantiation,[status(thm)],[14]) ).
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(l38,plain,
( ~ sum(additive_inverse(add(a,b)),add(a,b),additive_identity)
| ~ sum(add(a,b),additive_inverse(b),add(add(a,b),additive_inverse(b)))
| ~ sum(additive_identity,additive_inverse(b),additive_inverse(b))
| sum(additive_inverse(add(a,b)),add(add(a,b),additive_inverse(b)),additive_inverse(b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l58,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l39,plain,
( ~ defined(additive_inverse(b))
| sum(additive_identity,additive_inverse(b),additive_inverse(b)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l104,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(3,plain,
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
inference(cnf,[status(esa)],[existence_of_inverse_addition]) ).
cnf(l100,plain,
( ~ defined(add(a,b))
| sum(additive_inverse(add(a,b)),add(a,b),additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(12,plain,
( ~ defined(X0)
| ~ defined(X1)
| defined(add(X0,X1)) ),
inference(cnf,[status(esa)],[well_definedness_of_addition]) ).
cnf(l113,plain,
( ~ defined(a)
| ~ defined(b)
| defined(add(a,b)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l232,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l270,plain,
( ~ sum(additive_identity,b,b)
| ~ sum(b,additive_inverse(b),add(b,additive_inverse(b)))
| ~ sum(b,additive_inverse(b),additive_identity)
| sum(additive_identity,add(b,additive_inverse(b)),additive_identity) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l261,plain,
( ~ sum(additive_inverse(a),add(a,b),b)
| ~ sum(add(a,b),additive_inverse(b),add(add(a,b),additive_inverse(b)))
| ~ sum(b,additive_inverse(b),add(b,additive_inverse(b)))
| sum(additive_inverse(a),add(add(a,b),additive_inverse(b)),add(b,additive_inverse(b))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l677,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l263,plain,
( ~ defined(b)
| ~ defined(additive_inverse(b))
| sum(b,additive_inverse(b),add(b,additive_inverse(b))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l269,plain,
( ~ defined(add(a,b))
| ~ defined(additive_inverse(b))
| sum(add(a,b),additive_inverse(b),add(add(a,b),additive_inverse(b))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l267,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| ~ sum(a,b,add(a,b))
| ~ sum(additive_identity,b,b)
| sum(additive_inverse(a),add(a,b),b) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l178,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l314,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l275,plain,
( ~ defined(a)
| sum(additive_inverse(a),a,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l281,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l106,plain,
( ~ defined(add(a,b))
| ~ defined(additive_inverse(b))
| sum(add(a,b),additive_inverse(b),add(add(a,b),additive_inverse(b))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l374,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l266,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l300,plain,
( ~ sum(additive_inverse(b),b,additive_identity)
| sum(b,additive_inverse(b),additive_identity) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l264,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l304,plain,
( ~ defined(a)
| ~ defined(b)
| sum(a,b,add(a,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l181,plain,
( ~ defined(a)
| ~ defined(b)
| defined(add(a,b)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l220,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l271,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l284,plain,
( ~ defined(b)
| sum(additive_identity,b,b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l305,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l282,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l315,plain,
( ~ defined(b)
| sum(additive_inverse(b),b,additive_identity) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l110,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l225,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l217,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l298,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l410,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l278,plain,
( ~ defined(a)
| ~ defined(b)
| defined(add(a,b)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l280,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l313,plain,
( ~ defined(b)
| ~ defined(additive_inverse(b))
| sum(b,additive_inverse(b),add(b,additive_inverse(b))) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l317,plain,
( ~ defined(b)
| defined(additive_inverse(b)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l295,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l316,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l318,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l403,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l288,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l12,l3,l2,l7,l13,l15,l6,l9,l38,l11,l58,l39,l104,l100,l113,l232,l270,l261,l677,l263,l269,l267,l178,l314,l275,l281,l106,l374,l266,l300,l264,l304,l181,l220,l271,l284,l305,l282,l315,l110,l225,l217,l298,l410,l278,l280,l313,l317,l295,l316,l318,l403,l288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD008-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 09:31:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.35 % launching worker at depth: 11
% 0.19/0.48 % launching worker at depth: 12
% 16.86/2.44 % launching worker at depth: 13
% 181.85/23.17 % SZS status Theorem for theBenchmark
% 181.85/23.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------