TSTP Solution File: SYN007+1.014 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN007+1.014 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 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 : Tue Apr 30 20:51:00 EDT 2024
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 65
% Syntax : Number of formulae : 327 ( 1 unt; 0 def)
% Number of atoms : 1497 ( 0 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 1613 ( 443 ~; 572 |; 78 &)
% ( 518 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 79 ( 78 usr; 79 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( p_1
<~> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( pd0_0
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f3]) ).
fof(f5,plain,
( p_1
<~> ( p_2
<=> pd0_0 ) ),
inference(formula_renaming,[status(thm)],[f3,f4]) ).
fof(f6,plain,
( ( p_1
| ( ( ~ p_2
| pd0_0 )
& ( p_2
| ~ pd0_0 ) ) )
& ( ~ p_1
| ( ( ~ p_2
| ~ pd0_0 )
& ( p_2
| pd0_0 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
( p_1
| ~ p_2
| pd0_0 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
( p_1
| p_2
| ~ pd0_0 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
( ~ p_1
| ~ p_2
| ~ pd0_0 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f10,plain,
( ~ p_1
| p_2
| pd0_0 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f11,plain,
( pd0_1
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f4]) ).
fof(f12,plain,
( pd0_0
<=> ( p_3
<=> pd0_1 ) ),
inference(formula_renaming,[status(thm)],[f4,f11]) ).
fof(f13,plain,
( ( ~ pd0_0
| ( ( ~ p_3
| pd0_1 )
& ( p_3
| ~ pd0_1 ) ) )
& ( pd0_0
| ( ( ~ p_3
| ~ pd0_1 )
& ( p_3
| pd0_1 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f12]) ).
fof(f14,plain,
( ~ pd0_0
| ~ p_3
| pd0_1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
( ~ pd0_0
| p_3
| ~ pd0_1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f16,plain,
( pd0_0
| ~ p_3
| ~ pd0_1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f17,plain,
( pd0_0
| p_3
| pd0_1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f18,plain,
( pd0_2
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f19,plain,
( pd0_1
<=> ( p_4
<=> pd0_2 ) ),
inference(formula_renaming,[status(thm)],[f11,f18]) ).
fof(f20,plain,
( ( ~ pd0_1
| ( ( ~ p_4
| pd0_2 )
& ( p_4
| ~ pd0_2 ) ) )
& ( pd0_1
| ( ( ~ p_4
| ~ pd0_2 )
& ( p_4
| pd0_2 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
( ~ pd0_1
| ~ p_4
| pd0_2 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f22,plain,
( ~ pd0_1
| p_4
| ~ pd0_2 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f23,plain,
( pd0_1
| ~ p_4
| ~ pd0_2 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f24,plain,
( pd0_1
| p_4
| pd0_2 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f25,plain,
( pd0_3
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f18]) ).
fof(f26,plain,
( pd0_2
<=> ( p_5
<=> pd0_3 ) ),
inference(formula_renaming,[status(thm)],[f18,f25]) ).
fof(f27,plain,
( ( ~ pd0_2
| ( ( ~ p_5
| pd0_3 )
& ( p_5
| ~ pd0_3 ) ) )
& ( pd0_2
| ( ( ~ p_5
| ~ pd0_3 )
& ( p_5
| pd0_3 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
( ~ pd0_2
| ~ p_5
| pd0_3 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
( ~ pd0_2
| p_5
| ~ pd0_3 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f30,plain,
( pd0_2
| ~ p_5
| ~ pd0_3 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f31,plain,
( pd0_2
| p_5
| pd0_3 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f32,plain,
( pd0_4
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f25]) ).
fof(f33,plain,
( pd0_3
<=> ( p_6
<=> pd0_4 ) ),
inference(formula_renaming,[status(thm)],[f25,f32]) ).
fof(f34,plain,
( ( ~ pd0_3
| ( ( ~ p_6
| pd0_4 )
& ( p_6
| ~ pd0_4 ) ) )
& ( pd0_3
| ( ( ~ p_6
| ~ pd0_4 )
& ( p_6
| pd0_4 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
( ~ pd0_3
| ~ p_6
| pd0_4 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f36,plain,
( ~ pd0_3
| p_6
| ~ pd0_4 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f37,plain,
( pd0_3
| ~ p_6
| ~ pd0_4 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f38,plain,
( pd0_3
| p_6
| pd0_4 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f39,plain,
( pd0_5
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f32]) ).
fof(f40,plain,
( pd0_4
<=> ( p_7
<=> pd0_5 ) ),
inference(formula_renaming,[status(thm)],[f32,f39]) ).
fof(f41,plain,
( ( ~ pd0_4
| ( ( ~ p_7
| pd0_5 )
& ( p_7
| ~ pd0_5 ) ) )
& ( pd0_4
| ( ( ~ p_7
| ~ pd0_5 )
& ( p_7
| pd0_5 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
( ~ pd0_4
| ~ p_7
| pd0_5 ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
( ~ pd0_4
| p_7
| ~ pd0_5 ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f44,plain,
( pd0_4
| ~ p_7
| ~ pd0_5 ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f45,plain,
( pd0_4
| p_7
| pd0_5 ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f46,plain,
( pd0_6
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f39]) ).
fof(f47,plain,
( pd0_5
<=> ( p_8
<=> pd0_6 ) ),
inference(formula_renaming,[status(thm)],[f39,f46]) ).
fof(f48,plain,
( ( ~ pd0_5
| ( ( ~ p_8
| pd0_6 )
& ( p_8
| ~ pd0_6 ) ) )
& ( pd0_5
| ( ( ~ p_8
| ~ pd0_6 )
& ( p_8
| pd0_6 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
( ~ pd0_5
| ~ p_8
| pd0_6 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
( ~ pd0_5
| p_8
| ~ pd0_6 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f51,plain,
( pd0_5
| ~ p_8
| ~ pd0_6 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f52,plain,
( pd0_5
| p_8
| pd0_6 ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f53,plain,
( pd0_7
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f46]) ).
fof(f54,plain,
( pd0_6
<=> ( p_9
<=> pd0_7 ) ),
inference(formula_renaming,[status(thm)],[f46,f53]) ).
fof(f55,plain,
( ( ~ pd0_6
| ( ( ~ p_9
| pd0_7 )
& ( p_9
| ~ pd0_7 ) ) )
& ( pd0_6
| ( ( ~ p_9
| ~ pd0_7 )
& ( p_9
| pd0_7 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
( ~ pd0_6
| ~ p_9
| pd0_7 ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
( ~ pd0_6
| p_9
| ~ pd0_7 ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f58,plain,
( pd0_6
| ~ p_9
| ~ pd0_7 ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f59,plain,
( pd0_6
| p_9
| pd0_7 ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f60,plain,
( pd0_8
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f53]) ).
fof(f61,plain,
( pd0_7
<=> ( p_10
<=> pd0_8 ) ),
inference(formula_renaming,[status(thm)],[f53,f60]) ).
fof(f62,plain,
( ( ~ pd0_7
| ( ( ~ p_10
| pd0_8 )
& ( p_10
| ~ pd0_8 ) ) )
& ( pd0_7
| ( ( ~ p_10
| ~ pd0_8 )
& ( p_10
| pd0_8 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
( ~ pd0_7
| ~ p_10
| pd0_8 ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
( ~ pd0_7
| p_10
| ~ pd0_8 ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f65,plain,
( pd0_7
| ~ p_10
| ~ pd0_8 ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f66,plain,
( pd0_7
| p_10
| pd0_8 ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f67,plain,
( pd0_9
<=> ( p_12
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f60]) ).
fof(f68,plain,
( pd0_8
<=> ( p_11
<=> pd0_9 ) ),
inference(formula_renaming,[status(thm)],[f60,f67]) ).
fof(f69,plain,
( ( ~ pd0_8
| ( ( ~ p_11
| pd0_9 )
& ( p_11
| ~ pd0_9 ) ) )
& ( pd0_8
| ( ( ~ p_11
| ~ pd0_9 )
& ( p_11
| pd0_9 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f68]) ).
fof(f70,plain,
( ~ pd0_8
| ~ p_11
| pd0_9 ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
( ~ pd0_8
| p_11
| ~ pd0_9 ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f72,plain,
( pd0_8
| ~ p_11
| ~ pd0_9 ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f73,plain,
( pd0_8
| p_11
| pd0_9 ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f74,plain,
( pd0_10
<=> ( p_13
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f67]) ).
fof(f75,plain,
( pd0_9
<=> ( p_12
<=> pd0_10 ) ),
inference(formula_renaming,[status(thm)],[f67,f74]) ).
fof(f76,plain,
( ( ~ pd0_9
| ( ( ~ p_12
| pd0_10 )
& ( p_12
| ~ pd0_10 ) ) )
& ( pd0_9
| ( ( ~ p_12
| ~ pd0_10 )
& ( p_12
| pd0_10 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f75]) ).
fof(f77,plain,
( ~ pd0_9
| ~ p_12
| pd0_10 ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f78,plain,
( ~ pd0_9
| p_12
| ~ pd0_10 ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f79,plain,
( pd0_9
| ~ p_12
| ~ pd0_10 ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f80,plain,
( pd0_9
| p_12
| pd0_10 ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f81,plain,
( pd0_11
<=> ( p_14
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f74]) ).
fof(f82,plain,
( pd0_10
<=> ( p_13
<=> pd0_11 ) ),
inference(formula_renaming,[status(thm)],[f74,f81]) ).
fof(f83,plain,
( ( ~ pd0_10
| ( ( ~ p_13
| pd0_11 )
& ( p_13
| ~ pd0_11 ) ) )
& ( pd0_10
| ( ( ~ p_13
| ~ pd0_11 )
& ( p_13
| pd0_11 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f82]) ).
fof(f84,plain,
( ~ pd0_10
| ~ p_13
| pd0_11 ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f85,plain,
( ~ pd0_10
| p_13
| ~ pd0_11 ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f86,plain,
( pd0_10
| ~ p_13
| ~ pd0_11 ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f87,plain,
( pd0_10
| p_13
| pd0_11 ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f88,plain,
( pd0_12
<=> ( p_1
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f81]) ).
fof(f89,plain,
( pd0_11
<=> ( p_14
<=> pd0_12 ) ),
inference(formula_renaming,[status(thm)],[f81,f88]) ).
fof(f90,plain,
( ( ~ pd0_11
| ( ( ~ p_14
| pd0_12 )
& ( p_14
| ~ pd0_12 ) ) )
& ( pd0_11
| ( ( ~ p_14
| ~ pd0_12 )
& ( p_14
| pd0_12 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
( ~ pd0_11
| ~ p_14
| pd0_12 ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f92,plain,
( ~ pd0_11
| p_14
| ~ pd0_12 ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f93,plain,
( pd0_11
| ~ p_14
| ~ pd0_12 ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f94,plain,
( pd0_11
| p_14
| pd0_12 ),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f95,plain,
( pd0_13
<=> ( p_2
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f88]) ).
fof(f96,plain,
( pd0_12
<=> ( p_1
<=> pd0_13 ) ),
inference(formula_renaming,[status(thm)],[f88,f95]) ).
fof(f97,plain,
( ( ~ pd0_12
| ( ( ~ p_1
| pd0_13 )
& ( p_1
| ~ pd0_13 ) ) )
& ( pd0_12
| ( ( ~ p_1
| ~ pd0_13 )
& ( p_1
| pd0_13 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f96]) ).
fof(f98,plain,
( ~ pd0_12
| ~ p_1
| pd0_13 ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
( ~ pd0_12
| p_1
| ~ pd0_13 ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f100,plain,
( pd0_12
| ~ p_1
| ~ pd0_13 ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f101,plain,
( pd0_12
| p_1
| pd0_13 ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f102,plain,
( pd0_14
<=> ( p_3
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f95]) ).
fof(f103,plain,
( pd0_13
<=> ( p_2
<=> pd0_14 ) ),
inference(formula_renaming,[status(thm)],[f95,f102]) ).
fof(f104,plain,
( ( ~ pd0_13
| ( ( ~ p_2
| pd0_14 )
& ( p_2
| ~ pd0_14 ) ) )
& ( pd0_13
| ( ( ~ p_2
| ~ pd0_14 )
& ( p_2
| pd0_14 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f103]) ).
fof(f105,plain,
( ~ pd0_13
| ~ p_2
| pd0_14 ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f106,plain,
( ~ pd0_13
| p_2
| ~ pd0_14 ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f107,plain,
( pd0_13
| ~ p_2
| ~ pd0_14 ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f108,plain,
( pd0_13
| p_2
| pd0_14 ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f109,plain,
( pd0_15
<=> ( p_4
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f102]) ).
fof(f110,plain,
( pd0_14
<=> ( p_3
<=> pd0_15 ) ),
inference(formula_renaming,[status(thm)],[f102,f109]) ).
fof(f111,plain,
( ( ~ pd0_14
| ( ( ~ p_3
| pd0_15 )
& ( p_3
| ~ pd0_15 ) ) )
& ( pd0_14
| ( ( ~ p_3
| ~ pd0_15 )
& ( p_3
| pd0_15 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f110]) ).
fof(f112,plain,
( ~ pd0_14
| ~ p_3
| pd0_15 ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
( ~ pd0_14
| p_3
| ~ pd0_15 ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f114,plain,
( pd0_14
| ~ p_3
| ~ pd0_15 ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f115,plain,
( pd0_14
| p_3
| pd0_15 ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f116,plain,
( pd0_16
<=> ( p_5
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f109]) ).
fof(f117,plain,
( pd0_15
<=> ( p_4
<=> pd0_16 ) ),
inference(formula_renaming,[status(thm)],[f109,f116]) ).
fof(f118,plain,
( ( ~ pd0_15
| ( ( ~ p_4
| pd0_16 )
& ( p_4
| ~ pd0_16 ) ) )
& ( pd0_15
| ( ( ~ p_4
| ~ pd0_16 )
& ( p_4
| pd0_16 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f117]) ).
fof(f119,plain,
( ~ pd0_15
| ~ p_4
| pd0_16 ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f120,plain,
( ~ pd0_15
| p_4
| ~ pd0_16 ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f121,plain,
( pd0_15
| ~ p_4
| ~ pd0_16 ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f122,plain,
( pd0_15
| p_4
| pd0_16 ),
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f123,plain,
( pd0_17
<=> ( p_6
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f116]) ).
fof(f124,plain,
( pd0_16
<=> ( p_5
<=> pd0_17 ) ),
inference(formula_renaming,[status(thm)],[f116,f123]) ).
fof(f125,plain,
( ( ~ pd0_16
| ( ( ~ p_5
| pd0_17 )
& ( p_5
| ~ pd0_17 ) ) )
& ( pd0_16
| ( ( ~ p_5
| ~ pd0_17 )
& ( p_5
| pd0_17 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f124]) ).
fof(f126,plain,
( ~ pd0_16
| ~ p_5
| pd0_17 ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f127,plain,
( ~ pd0_16
| p_5
| ~ pd0_17 ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f128,plain,
( pd0_16
| ~ p_5
| ~ pd0_17 ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f129,plain,
( pd0_16
| p_5
| pd0_17 ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f130,plain,
( pd0_18
<=> ( p_7
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ) ),
introduced(predicate_definition,[f123]) ).
fof(f131,plain,
( pd0_17
<=> ( p_6
<=> pd0_18 ) ),
inference(formula_renaming,[status(thm)],[f123,f130]) ).
fof(f132,plain,
( ( ~ pd0_17
| ( ( ~ p_6
| pd0_18 )
& ( p_6
| ~ pd0_18 ) ) )
& ( pd0_17
| ( ( ~ p_6
| ~ pd0_18 )
& ( p_6
| pd0_18 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f131]) ).
fof(f133,plain,
( ~ pd0_17
| ~ p_6
| pd0_18 ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f134,plain,
( ~ pd0_17
| p_6
| ~ pd0_18 ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f135,plain,
( pd0_17
| ~ p_6
| ~ pd0_18 ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f136,plain,
( pd0_17
| p_6
| pd0_18 ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f137,plain,
( pd0_19
<=> ( p_8
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ) ),
introduced(predicate_definition,[f130]) ).
fof(f138,plain,
( pd0_18
<=> ( p_7
<=> pd0_19 ) ),
inference(formula_renaming,[status(thm)],[f130,f137]) ).
fof(f139,plain,
( ( ~ pd0_18
| ( ( ~ p_7
| pd0_19 )
& ( p_7
| ~ pd0_19 ) ) )
& ( pd0_18
| ( ( ~ p_7
| ~ pd0_19 )
& ( p_7
| pd0_19 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f138]) ).
fof(f140,plain,
( ~ pd0_18
| ~ p_7
| pd0_19 ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f141,plain,
( ~ pd0_18
| p_7
| ~ pd0_19 ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f142,plain,
( pd0_18
| ~ p_7
| ~ pd0_19 ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f143,plain,
( pd0_18
| p_7
| pd0_19 ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f144,plain,
( pd0_20
<=> ( p_9
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ) ),
introduced(predicate_definition,[f137]) ).
fof(f145,plain,
( pd0_19
<=> ( p_8
<=> pd0_20 ) ),
inference(formula_renaming,[status(thm)],[f137,f144]) ).
fof(f146,plain,
( ( ~ pd0_19
| ( ( ~ p_8
| pd0_20 )
& ( p_8
| ~ pd0_20 ) ) )
& ( pd0_19
| ( ( ~ p_8
| ~ pd0_20 )
& ( p_8
| pd0_20 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f145]) ).
fof(f147,plain,
( ~ pd0_19
| ~ p_8
| pd0_20 ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
( ~ pd0_19
| p_8
| ~ pd0_20 ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f149,plain,
( pd0_19
| ~ p_8
| ~ pd0_20 ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f150,plain,
( pd0_19
| p_8
| pd0_20 ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f151,plain,
( pd0_21
<=> ( p_10
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ) ),
introduced(predicate_definition,[f144]) ).
fof(f152,plain,
( pd0_20
<=> ( p_9
<=> pd0_21 ) ),
inference(formula_renaming,[status(thm)],[f144,f151]) ).
fof(f153,plain,
( ( ~ pd0_20
| ( ( ~ p_9
| pd0_21 )
& ( p_9
| ~ pd0_21 ) ) )
& ( pd0_20
| ( ( ~ p_9
| ~ pd0_21 )
& ( p_9
| pd0_21 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f152]) ).
fof(f154,plain,
( ~ pd0_20
| ~ p_9
| pd0_21 ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f155,plain,
( ~ pd0_20
| p_9
| ~ pd0_21 ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f156,plain,
( pd0_20
| ~ p_9
| ~ pd0_21 ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f157,plain,
( pd0_20
| p_9
| pd0_21 ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f158,plain,
( pd0_22
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ),
introduced(predicate_definition,[f151]) ).
fof(f159,plain,
( pd0_21
<=> ( p_10
<=> pd0_22 ) ),
inference(formula_renaming,[status(thm)],[f151,f158]) ).
fof(f160,plain,
( ( ~ pd0_21
| ( ( ~ p_10
| pd0_22 )
& ( p_10
| ~ pd0_22 ) ) )
& ( pd0_21
| ( ( ~ p_10
| ~ pd0_22 )
& ( p_10
| pd0_22 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f159]) ).
fof(f161,plain,
( ~ pd0_21
| ~ p_10
| pd0_22 ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f162,plain,
( ~ pd0_21
| p_10
| ~ pd0_22 ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f163,plain,
( pd0_21
| ~ p_10
| ~ pd0_22 ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f164,plain,
( pd0_21
| p_10
| pd0_22 ),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f165,plain,
( pd0_23
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ),
introduced(predicate_definition,[f158]) ).
fof(f166,plain,
( pd0_22
<=> ( p_11
<=> pd0_23 ) ),
inference(formula_renaming,[status(thm)],[f158,f165]) ).
fof(f167,plain,
( ( ~ pd0_22
| ( ( ~ p_11
| pd0_23 )
& ( p_11
| ~ pd0_23 ) ) )
& ( pd0_22
| ( ( ~ p_11
| ~ pd0_23 )
& ( p_11
| pd0_23 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f166]) ).
fof(f168,plain,
( ~ pd0_22
| ~ p_11
| pd0_23 ),
inference(cnf_transformation,[status(esa)],[f167]) ).
fof(f169,plain,
( ~ pd0_22
| p_11
| ~ pd0_23 ),
inference(cnf_transformation,[status(esa)],[f167]) ).
fof(f170,plain,
( pd0_22
| ~ p_11
| ~ pd0_23 ),
inference(cnf_transformation,[status(esa)],[f167]) ).
fof(f171,plain,
( pd0_22
| p_11
| pd0_23 ),
inference(cnf_transformation,[status(esa)],[f167]) ).
fof(f172,plain,
( pd0_24
<=> ( p_13
<=> p_14 ) ),
introduced(predicate_definition,[f165]) ).
fof(f173,plain,
( pd0_23
<=> ( p_12
<=> pd0_24 ) ),
inference(formula_renaming,[status(thm)],[f165,f172]) ).
fof(f174,plain,
( ( ~ pd0_23
| ( ( ~ p_12
| pd0_24 )
& ( p_12
| ~ pd0_24 ) ) )
& ( pd0_23
| ( ( ~ p_12
| ~ pd0_24 )
& ( p_12
| pd0_24 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f173]) ).
fof(f175,plain,
( ~ pd0_23
| ~ p_12
| pd0_24 ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f176,plain,
( ~ pd0_23
| p_12
| ~ pd0_24 ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f177,plain,
( pd0_23
| ~ p_12
| ~ pd0_24 ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f178,plain,
( pd0_23
| p_12
| pd0_24 ),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f179,plain,
( ( ~ pd0_24
| ( ( ~ p_13
| p_14 )
& ( p_13
| ~ p_14 ) ) )
& ( pd0_24
| ( ( ~ p_13
| ~ p_14 )
& ( p_13
| p_14 ) ) ) ),
inference(NNF_transformation,[status(esa)],[f172]) ).
fof(f180,plain,
( ~ pd0_24
| ~ p_13
| p_14 ),
inference(cnf_transformation,[status(esa)],[f179]) ).
fof(f181,plain,
( ~ pd0_24
| p_13
| ~ p_14 ),
inference(cnf_transformation,[status(esa)],[f179]) ).
fof(f182,plain,
( pd0_24
| ~ p_13
| ~ p_14 ),
inference(cnf_transformation,[status(esa)],[f179]) ).
fof(f183,plain,
( pd0_24
| p_13
| p_14 ),
inference(cnf_transformation,[status(esa)],[f179]) ).
fof(f184,plain,
( spl0_0
<=> p_1 ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( spl0_1
<=> p_2 ),
introduced(split_symbol_definition) ).
fof(f190,plain,
( spl0_2
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( spl0_0
| ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f7,f184,f187,f190]) ).
fof(f194,plain,
( spl0_0
| spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f8,f184,f187,f190]) ).
fof(f195,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f9,f184,f187,f190]) ).
fof(f196,plain,
( ~ spl0_0
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f10,f184,f187,f190]) ).
fof(f197,plain,
( spl0_3
<=> p_3 ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( spl0_4
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f14,f190,f197,f200]) ).
fof(f204,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f15,f190,f197,f200]) ).
fof(f205,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f16,f190,f197,f200]) ).
fof(f206,plain,
( spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f17,f190,f197,f200]) ).
fof(f207,plain,
( spl0_5
<=> p_4 ),
introduced(split_symbol_definition) ).
fof(f210,plain,
( spl0_6
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f213,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f21,f200,f207,f210]) ).
fof(f214,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f22,f200,f207,f210]) ).
fof(f215,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f23,f200,f207,f210]) ).
fof(f216,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f24,f200,f207,f210]) ).
fof(f217,plain,
( spl0_7
<=> p_5 ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( spl0_8
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f223,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f28,f210,f217,f220]) ).
fof(f224,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f29,f210,f217,f220]) ).
fof(f225,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f30,f210,f217,f220]) ).
fof(f226,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f31,f210,f217,f220]) ).
fof(f227,plain,
( spl0_9
<=> p_6 ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( spl0_10
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f233,plain,
( ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(split_clause,[status(thm)],[f35,f220,f227,f230]) ).
fof(f234,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f36,f220,f227,f230]) ).
fof(f235,plain,
( spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f37,f220,f227,f230]) ).
fof(f236,plain,
( spl0_8
| spl0_9
| spl0_10 ),
inference(split_clause,[status(thm)],[f38,f220,f227,f230]) ).
fof(f237,plain,
( spl0_11
<=> p_7 ),
introduced(split_symbol_definition) ).
fof(f240,plain,
( spl0_12
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f243,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(split_clause,[status(thm)],[f42,f230,f237,f240]) ).
fof(f244,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f43,f230,f237,f240]) ).
fof(f245,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f44,f230,f237,f240]) ).
fof(f246,plain,
( spl0_10
| spl0_11
| spl0_12 ),
inference(split_clause,[status(thm)],[f45,f230,f237,f240]) ).
fof(f247,plain,
( spl0_13
<=> p_8 ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( spl0_14
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f49,f240,f247,f250]) ).
fof(f254,plain,
( ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f50,f240,f247,f250]) ).
fof(f255,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f51,f240,f247,f250]) ).
fof(f256,plain,
( spl0_12
| spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f52,f240,f247,f250]) ).
fof(f257,plain,
( spl0_15
<=> p_9 ),
introduced(split_symbol_definition) ).
fof(f260,plain,
( spl0_16
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f263,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_16 ),
inference(split_clause,[status(thm)],[f56,f250,f257,f260]) ).
fof(f264,plain,
( ~ spl0_14
| spl0_15
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f57,f250,f257,f260]) ).
fof(f265,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f58,f250,f257,f260]) ).
fof(f266,plain,
( spl0_14
| spl0_15
| spl0_16 ),
inference(split_clause,[status(thm)],[f59,f250,f257,f260]) ).
fof(f267,plain,
( spl0_17
<=> p_10 ),
introduced(split_symbol_definition) ).
fof(f270,plain,
( spl0_18
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_18 ),
inference(split_clause,[status(thm)],[f63,f260,f267,f270]) ).
fof(f274,plain,
( ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f64,f260,f267,f270]) ).
fof(f275,plain,
( spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f65,f260,f267,f270]) ).
fof(f276,plain,
( spl0_16
| spl0_17
| spl0_18 ),
inference(split_clause,[status(thm)],[f66,f260,f267,f270]) ).
fof(f277,plain,
( spl0_19
<=> p_11 ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( spl0_20
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f283,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(split_clause,[status(thm)],[f70,f270,f277,f280]) ).
fof(f284,plain,
( ~ spl0_18
| spl0_19
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f71,f270,f277,f280]) ).
fof(f285,plain,
( spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f72,f270,f277,f280]) ).
fof(f286,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(split_clause,[status(thm)],[f73,f270,f277,f280]) ).
fof(f287,plain,
( spl0_21
<=> p_12 ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( spl0_22
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_22 ),
inference(split_clause,[status(thm)],[f77,f280,f287,f290]) ).
fof(f294,plain,
( ~ spl0_20
| spl0_21
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f78,f280,f287,f290]) ).
fof(f295,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f79,f280,f287,f290]) ).
fof(f296,plain,
( spl0_20
| spl0_21
| spl0_22 ),
inference(split_clause,[status(thm)],[f80,f280,f287,f290]) ).
fof(f297,plain,
( spl0_23
<=> p_13 ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( spl0_24
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f303,plain,
( ~ spl0_22
| ~ spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f84,f290,f297,f300]) ).
fof(f304,plain,
( ~ spl0_22
| spl0_23
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f85,f290,f297,f300]) ).
fof(f305,plain,
( spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f86,f290,f297,f300]) ).
fof(f306,plain,
( spl0_22
| spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f87,f290,f297,f300]) ).
fof(f307,plain,
( spl0_25
<=> p_14 ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( spl0_26
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f313,plain,
( ~ spl0_24
| ~ spl0_25
| spl0_26 ),
inference(split_clause,[status(thm)],[f91,f300,f307,f310]) ).
fof(f314,plain,
( ~ spl0_24
| spl0_25
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f92,f300,f307,f310]) ).
fof(f315,plain,
( spl0_24
| ~ spl0_25
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f93,f300,f307,f310]) ).
fof(f316,plain,
( spl0_24
| spl0_25
| spl0_26 ),
inference(split_clause,[status(thm)],[f94,f300,f307,f310]) ).
fof(f317,plain,
( spl0_27
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( ~ spl0_26
| ~ spl0_0
| spl0_27 ),
inference(split_clause,[status(thm)],[f98,f310,f184,f317]) ).
fof(f321,plain,
( ~ spl0_26
| spl0_0
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f99,f310,f184,f317]) ).
fof(f322,plain,
( spl0_26
| ~ spl0_0
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f100,f310,f184,f317]) ).
fof(f323,plain,
( spl0_26
| spl0_0
| spl0_27 ),
inference(split_clause,[status(thm)],[f101,f310,f184,f317]) ).
fof(f324,plain,
( spl0_28
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f327,plain,
( ~ spl0_27
| ~ spl0_1
| spl0_28 ),
inference(split_clause,[status(thm)],[f105,f317,f187,f324]) ).
fof(f328,plain,
( ~ spl0_27
| spl0_1
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f106,f317,f187,f324]) ).
fof(f329,plain,
( spl0_27
| ~ spl0_1
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f107,f317,f187,f324]) ).
fof(f330,plain,
( spl0_27
| spl0_1
| spl0_28 ),
inference(split_clause,[status(thm)],[f108,f317,f187,f324]) ).
fof(f331,plain,
( spl0_29
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( ~ spl0_28
| ~ spl0_3
| spl0_29 ),
inference(split_clause,[status(thm)],[f112,f324,f197,f331]) ).
fof(f335,plain,
( ~ spl0_28
| spl0_3
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f113,f324,f197,f331]) ).
fof(f336,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f114,f324,f197,f331]) ).
fof(f337,plain,
( spl0_28
| spl0_3
| spl0_29 ),
inference(split_clause,[status(thm)],[f115,f324,f197,f331]) ).
fof(f338,plain,
( spl0_30
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f341,plain,
( ~ spl0_29
| ~ spl0_5
| spl0_30 ),
inference(split_clause,[status(thm)],[f119,f331,f207,f338]) ).
fof(f342,plain,
( ~ spl0_29
| spl0_5
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f120,f331,f207,f338]) ).
fof(f343,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f121,f331,f207,f338]) ).
fof(f344,plain,
( spl0_29
| spl0_5
| spl0_30 ),
inference(split_clause,[status(thm)],[f122,f331,f207,f338]) ).
fof(f345,plain,
( spl0_31
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( ~ spl0_30
| ~ spl0_7
| spl0_31 ),
inference(split_clause,[status(thm)],[f126,f338,f217,f345]) ).
fof(f349,plain,
( ~ spl0_30
| spl0_7
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f127,f338,f217,f345]) ).
fof(f350,plain,
( spl0_30
| ~ spl0_7
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f128,f338,f217,f345]) ).
fof(f351,plain,
( spl0_30
| spl0_7
| spl0_31 ),
inference(split_clause,[status(thm)],[f129,f338,f217,f345]) ).
fof(f352,plain,
( spl0_32
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( ~ spl0_31
| ~ spl0_9
| spl0_32 ),
inference(split_clause,[status(thm)],[f133,f345,f227,f352]) ).
fof(f356,plain,
( ~ spl0_31
| spl0_9
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f134,f345,f227,f352]) ).
fof(f357,plain,
( spl0_31
| ~ spl0_9
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f135,f345,f227,f352]) ).
fof(f358,plain,
( spl0_31
| spl0_9
| spl0_32 ),
inference(split_clause,[status(thm)],[f136,f345,f227,f352]) ).
fof(f359,plain,
( spl0_33
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( ~ spl0_32
| ~ spl0_11
| spl0_33 ),
inference(split_clause,[status(thm)],[f140,f352,f237,f359]) ).
fof(f363,plain,
( ~ spl0_32
| spl0_11
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f141,f352,f237,f359]) ).
fof(f364,plain,
( spl0_32
| ~ spl0_11
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f142,f352,f237,f359]) ).
fof(f365,plain,
( spl0_32
| spl0_11
| spl0_33 ),
inference(split_clause,[status(thm)],[f143,f352,f237,f359]) ).
fof(f366,plain,
( spl0_34
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f369,plain,
( ~ spl0_33
| ~ spl0_13
| spl0_34 ),
inference(split_clause,[status(thm)],[f147,f359,f247,f366]) ).
fof(f370,plain,
( ~ spl0_33
| spl0_13
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f148,f359,f247,f366]) ).
fof(f371,plain,
( spl0_33
| ~ spl0_13
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f149,f359,f247,f366]) ).
fof(f372,plain,
( spl0_33
| spl0_13
| spl0_34 ),
inference(split_clause,[status(thm)],[f150,f359,f247,f366]) ).
fof(f373,plain,
( spl0_35
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( ~ spl0_34
| ~ spl0_15
| spl0_35 ),
inference(split_clause,[status(thm)],[f154,f366,f257,f373]) ).
fof(f377,plain,
( ~ spl0_34
| spl0_15
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f155,f366,f257,f373]) ).
fof(f378,plain,
( spl0_34
| ~ spl0_15
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f156,f366,f257,f373]) ).
fof(f379,plain,
( spl0_34
| spl0_15
| spl0_35 ),
inference(split_clause,[status(thm)],[f157,f366,f257,f373]) ).
fof(f380,plain,
( spl0_36
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( ~ spl0_35
| ~ spl0_17
| spl0_36 ),
inference(split_clause,[status(thm)],[f161,f373,f267,f380]) ).
fof(f384,plain,
( ~ spl0_35
| spl0_17
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f162,f373,f267,f380]) ).
fof(f385,plain,
( spl0_35
| ~ spl0_17
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f163,f373,f267,f380]) ).
fof(f386,plain,
( spl0_35
| spl0_17
| spl0_36 ),
inference(split_clause,[status(thm)],[f164,f373,f267,f380]) ).
fof(f387,plain,
( spl0_37
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( ~ spl0_36
| ~ spl0_19
| spl0_37 ),
inference(split_clause,[status(thm)],[f168,f380,f277,f387]) ).
fof(f391,plain,
( ~ spl0_36
| spl0_19
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f169,f380,f277,f387]) ).
fof(f392,plain,
( spl0_36
| ~ spl0_19
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f170,f380,f277,f387]) ).
fof(f393,plain,
( spl0_36
| spl0_19
| spl0_37 ),
inference(split_clause,[status(thm)],[f171,f380,f277,f387]) ).
fof(f394,plain,
( spl0_38
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( ~ spl0_37
| ~ spl0_21
| spl0_38 ),
inference(split_clause,[status(thm)],[f175,f387,f287,f394]) ).
fof(f398,plain,
( ~ spl0_37
| spl0_21
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f176,f387,f287,f394]) ).
fof(f399,plain,
( spl0_37
| ~ spl0_21
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f177,f387,f287,f394]) ).
fof(f400,plain,
( spl0_37
| spl0_21
| spl0_38 ),
inference(split_clause,[status(thm)],[f178,f387,f287,f394]) ).
fof(f401,plain,
( ~ spl0_38
| ~ spl0_23
| spl0_25 ),
inference(split_clause,[status(thm)],[f180,f394,f297,f307]) ).
fof(f402,plain,
( ~ spl0_38
| spl0_23
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f181,f394,f297,f307]) ).
fof(f403,plain,
( spl0_38
| ~ spl0_23
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f182,f394,f297,f307]) ).
fof(f404,plain,
( spl0_38
| spl0_23
| spl0_25 ),
inference(split_clause,[status(thm)],[f183,f394,f297,f307]) ).
fof(f405,plain,
$false,
inference(sat_refutation,[status(thm)],[f193,f194,f195,f196,f203,f204,f205,f206,f213,f214,f215,f216,f223,f224,f225,f226,f233,f234,f235,f236,f243,f244,f245,f246,f253,f254,f255,f256,f263,f264,f265,f266,f273,f274,f275,f276,f283,f284,f285,f286,f293,f294,f295,f296,f303,f304,f305,f306,f313,f314,f315,f316,f320,f321,f322,f323,f327,f328,f329,f330,f334,f335,f336,f337,f341,f342,f343,f344,f348,f349,f350,f351,f355,f356,f357,f358,f362,f363,f364,f365,f369,f370,f371,f372,f376,f377,f378,f379,f383,f384,f385,f386,f390,f391,f392,f393,f397,f398,f399,f400,f401,f402,f403,f404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN007+1.014 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 29 22:11:05 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.29 % Drodi V3.6.0
% 0.13/0.33 % Refutation found
% 0.13/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.34 % Elapsed time: 0.053055 seconds
% 0.13/0.34 % CPU time: 0.351931 seconds
% 0.13/0.34 % Total memory used: 11.369 MB
% 0.13/0.34 % Net memory used: 11.156 MB
%------------------------------------------------------------------------------