%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : FLD013-3 : 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 11:55:15 AM UTC 2025
% Result : Unsatisfiable 214.30s 27.28s
% Output : CNFRefutation 214.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named sum_5)
% Comments :
%------------------------------------------------------------------------------
cnf(30,plain,
sum(additive_identity,a,b),
inference(cnf,[status(esa)],[sum_5]) ).
cnf(l0,plain,
sum(additive_identity,a,b),
inference(instantiation,[status(thm)],[30]) ).
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(l1,plain,
( ~ sum(additive_identity,additive_identity,add(additive_identity,additive_identity))
| ~ sum(additive_identity,a,b)
| ~ sum(add(additive_identity,additive_identity),a,a)
| sum(additive_identity,b,a) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ sum(c,additive_identity,d)
| ~ sum(additive_identity,b,a)
| ~ sum(d,b,add(d,b))
| sum(c,a,add(d,b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf,[status(esa)],[commutativity_addition]) ).
cnf(l48,plain,
( ~ sum(c,a,add(d,b))
| sum(a,c,add(d,b)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(32,plain,
~ sum(a,c,add(d,b)),
inference(cnf,[status(esa)],[not_sum_7]) ).
cnf(l54,plain,
~ sum(a,c,add(d,b)),
inference(instantiation,[status(thm)],[32]) ).
cnf(18,plain,
( ~ defined(X0)
| ~ defined(X1)
| sum(X0,X1,add(X0,X1)) ),
inference(cnf,[status(esa)],[totality_of_addition]) ).
cnf(l21,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| sum(additive_identity,additive_identity,add(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l3,plain,
( ~ defined(d)
| ~ defined(b)
| sum(d,b,add(d,b)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(29,plain,
defined(d),
inference(cnf,[status(esa)],[d_is_defined]) ).
cnf(l18,plain,
defined(d),
inference(instantiation,[status(thm)],[29]) ).
cnf(l37,plain,
( ~ sum(additive_identity,c,d)
| sum(c,additive_identity,d) ),
inference(instantiation,[status(thm)],[4]) ).
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(l7,plain,
( ~ sum(additive_identity,additive_identity,add(additive_identity,additive_identity))
| ~ sum(additive_identity,a,a)
| ~ sum(additive_identity,a,a)
| sum(add(additive_identity,additive_identity),a,a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(13,plain,
defined(additive_identity),
inference(cnf,[status(esa)],[well_definedness_of_additive_identity]) ).
cnf(l28,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l9,plain,
( ~ defined(additive_identity)
| ~ defined(additive_identity)
| sum(additive_identity,additive_identity,add(additive_identity,additive_identity)) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l15,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(2,plain,
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
inference(cnf,[status(esa)],[existence_of_identity_addition]) ).
cnf(l12,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(26,plain,
defined(a),
inference(cnf,[status(esa)],[a_is_defined]) ).
cnf(l14,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(l20,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(31,plain,
sum(additive_identity,c,d),
inference(cnf,[status(esa)],[sum_6]) ).
cnf(l40,plain,
sum(additive_identity,c,d),
inference(instantiation,[status(thm)],[31]) ).
cnf(l24,plain,
defined(additive_identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(l8,plain,
( ~ defined(a)
| sum(additive_identity,a,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(27,plain,
defined(b),
inference(cnf,[status(esa)],[b_is_defined]) ).
cnf(l4,plain,
defined(b),
inference(instantiation,[status(thm)],[27]) ).
cnf(l10,plain,
defined(a),
inference(instantiation,[status(thm)],[26]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l48,l54,l21,l3,l18,l37,l7,l28,l9,l15,l12,l14,l20,l40,l24,l8,l4,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD013-3 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 09:34:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 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: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 3.22/0.75 % launching worker at depth: 11
% 214.30/27.28 % SZS status Theorem for theBenchmark
% 214.30/27.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------