%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN007+1.014 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:06:25 PM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 25
% Syntax : Number of formulae : 250 ( 1 unt; 24 def)
% Number of atoms : 1057 ( 0 equ)
% Maximal formula atoms : 46 ( 4 avg)
% Number of connectives : 1256 ( 449 ~; 590 |; 85 &)
% ( 130 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 29 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 39 ( 38 usr; 39 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',prove_this) ).
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(ennf_transformation,[],[f2]) ).
fof(f4,definition,
( sP0
<=> ( p_11
<=> ( p_12
<=> ( p_13
<=> p_14 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f5,definition,
( sP1
<=> ( p_10
<=> sP0 ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f6,definition,
( sP2
<=> ( p_9
<=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f7,definition,
( sP3
<=> ( p_8
<=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f8,definition,
( sP4
<=> ( p_7
<=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f9,definition,
( sP5
<=> ( p_6
<=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f10,definition,
( sP6
<=> ( p_5
<=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f11,definition,
( sP7
<=> ( p_4
<=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f12,definition,
( sP8
<=> ( p_3
<=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f13,definition,
( sP9
<=> ( p_2
<=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f14,definition,
( sP10
<=> ( p_1
<=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f15,definition,
( sP11
<=> ( p_14
<=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f16,definition,
( sP12
<=> ( p_13
<=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f17,definition,
( sP13
<=> ( p_12
<=> sP12 ) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f18,definition,
( sP14
<=> ( p_11
<=> sP13 ) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f19,definition,
( sP15
<=> ( p_10
<=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f20,definition,
( sP16
<=> ( p_9
<=> sP15 ) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f21,definition,
( sP17
<=> ( p_8
<=> sP16 ) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f22,definition,
( sP18
<=> ( p_7
<=> sP17 ) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f23,definition,
( sP19
<=> ( p_6
<=> sP18 ) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f24,definition,
( sP20
<=> ( p_5
<=> sP19 ) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f25,definition,
( sP21
<=> ( p_4
<=> sP20 ) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f26,definition,
( sP22
<=> ( p_3
<=> sP21 ) ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f27,definition,
( sP23
<=> ( p_2
<=> sP22 ) ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f28,plain,
( p_1
<~> sP23 ),
inference(definition_folding,[],[f3,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8,f7,f6,f5,f4]) ).
fof(f29,plain,
( ( sP23
| ( ( ~ sP22
| ~ p_2 )
& ( sP22
| p_2 ) ) )
& ( ( ( p_2
| ~ sP22 )
& ( sP22
| ~ p_2 ) )
| ~ sP23 ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f30,plain,
( ( sP22
| ( ( ~ sP21
| ~ p_3 )
& ( sP21
| p_3 ) ) )
& ( ( ( p_3
| ~ sP21 )
& ( sP21
| ~ p_3 ) )
| ~ sP22 ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f31,plain,
( ( sP21
| ( ( ~ sP20
| ~ p_4 )
& ( sP20
| p_4 ) ) )
& ( ( ( p_4
| ~ sP20 )
& ( sP20
| ~ p_4 ) )
| ~ sP21 ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f32,plain,
( ( sP20
| ( ( ~ sP19
| ~ p_5 )
& ( sP19
| p_5 ) ) )
& ( ( ( p_5
| ~ sP19 )
& ( sP19
| ~ p_5 ) )
| ~ sP20 ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f33,plain,
( ( sP19
| ( ( ~ sP18
| ~ p_6 )
& ( sP18
| p_6 ) ) )
& ( ( ( p_6
| ~ sP18 )
& ( sP18
| ~ p_6 ) )
| ~ sP19 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f34,plain,
( ( sP18
| ( ( ~ sP17
| ~ p_7 )
& ( sP17
| p_7 ) ) )
& ( ( ( p_7
| ~ sP17 )
& ( sP17
| ~ p_7 ) )
| ~ sP18 ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f35,plain,
( ( sP17
| ( ( ~ sP16
| ~ p_8 )
& ( sP16
| p_8 ) ) )
& ( ( ( p_8
| ~ sP16 )
& ( sP16
| ~ p_8 ) )
| ~ sP17 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f36,plain,
( ( sP16
| ( ( ~ sP15
| ~ p_9 )
& ( sP15
| p_9 ) ) )
& ( ( ( p_9
| ~ sP15 )
& ( sP15
| ~ p_9 ) )
| ~ sP16 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f37,plain,
( ( sP15
| ( ( ~ sP14
| ~ p_10 )
& ( sP14
| p_10 ) ) )
& ( ( ( p_10
| ~ sP14 )
& ( sP14
| ~ p_10 ) )
| ~ sP15 ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f38,plain,
( ( sP14
| ( ( ~ sP13
| ~ p_11 )
& ( sP13
| p_11 ) ) )
& ( ( ( p_11
| ~ sP13 )
& ( sP13
| ~ p_11 ) )
| ~ sP14 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f39,plain,
( ( sP13
| ( ( ~ sP12
| ~ p_12 )
& ( sP12
| p_12 ) ) )
& ( ( ( p_12
| ~ sP12 )
& ( sP12
| ~ p_12 ) )
| ~ sP13 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f40,plain,
( ( sP12
| ( ( ~ sP11
| ~ p_13 )
& ( sP11
| p_13 ) ) )
& ( ( ( p_13
| ~ sP11 )
& ( sP11
| ~ p_13 ) )
| ~ sP12 ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f41,plain,
( ( sP11
| ( ( ~ sP10
| ~ p_14 )
& ( sP10
| p_14 ) ) )
& ( ( ( p_14
| ~ sP10 )
& ( sP10
| ~ p_14 ) )
| ~ sP11 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f42,plain,
( ( sP10
| ( ( ~ sP9
| ~ p_1 )
& ( sP9
| p_1 ) ) )
& ( ( ( p_1
| ~ sP9 )
& ( sP9
| ~ p_1 ) )
| ~ sP10 ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f43,plain,
( ( sP9
| ( ( ~ sP8
| ~ p_2 )
& ( sP8
| p_2 ) ) )
& ( ( ( p_2
| ~ sP8 )
& ( sP8
| ~ p_2 ) )
| ~ sP9 ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f44,plain,
( ( sP8
| ( ( ~ sP7
| ~ p_3 )
& ( sP7
| p_3 ) ) )
& ( ( ( p_3
| ~ sP7 )
& ( sP7
| ~ p_3 ) )
| ~ sP8 ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f45,plain,
( ( sP7
| ( ( ~ sP6
| ~ p_4 )
& ( sP6
| p_4 ) ) )
& ( ( ( p_4
| ~ sP6 )
& ( sP6
| ~ p_4 ) )
| ~ sP7 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f46,plain,
( ( sP6
| ( ( ~ sP5
| ~ p_5 )
& ( sP5
| p_5 ) ) )
& ( ( ( p_5
| ~ sP5 )
& ( sP5
| ~ p_5 ) )
| ~ sP6 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f47,plain,
( ( sP5
| ( ( ~ sP4
| ~ p_6 )
& ( sP4
| p_6 ) ) )
& ( ( ( p_6
| ~ sP4 )
& ( sP4
| ~ p_6 ) )
| ~ sP5 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f48,plain,
( ( sP4
| ( ( ~ sP3
| ~ p_7 )
& ( sP3
| p_7 ) ) )
& ( ( ( p_7
| ~ sP3 )
& ( sP3
| ~ p_7 ) )
| ~ sP4 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f49,plain,
( ( sP3
| ( ( ~ sP2
| ~ p_8 )
& ( sP2
| p_8 ) ) )
& ( ( ( p_8
| ~ sP2 )
& ( sP2
| ~ p_8 ) )
| ~ sP3 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f50,plain,
( ( sP2
| ( ( ~ sP1
| ~ p_9 )
& ( sP1
| p_9 ) ) )
& ( ( ( p_9
| ~ sP1 )
& ( sP1
| ~ p_9 ) )
| ~ sP2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f51,plain,
( ( sP1
| ( ( ~ sP0
| ~ p_10 )
& ( sP0
| p_10 ) ) )
& ( ( ( p_10
| ~ sP0 )
& ( sP0
| ~ p_10 ) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f52,plain,
( ( sP0
| ( ( ( ( ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) )
| ~ p_12 )
& ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| p_12 ) )
| ~ p_11 )
& ( ( ( p_12
| ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) ) )
& ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| ~ p_12 ) )
| p_11 ) ) )
& ( ( ( p_11
| ( ( ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) )
| ~ p_12 )
& ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| p_12 ) ) )
& ( ( ( p_12
| ( ( ~ p_14
| ~ p_13 )
& ( p_14
| p_13 ) ) )
& ( ( ( p_13
| ~ p_14 )
& ( p_14
| ~ p_13 ) )
| ~ p_12 ) )
| ~ p_11 ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f53,plain,
( ( ~ sP23
| ~ p_1 )
& ( sP23
| p_1 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f54,plain,
( sP22
| ~ p_2
| ~ sP23 ),
inference(cnf_transformation,[],[f29]) ).
fof(f55,plain,
( p_2
| ~ sP22
| ~ sP23 ),
inference(cnf_transformation,[],[f29]) ).
fof(f56,plain,
( sP23
| sP22
| p_2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f57,plain,
( sP23
| ~ sP22
| ~ p_2 ),
inference(cnf_transformation,[],[f29]) ).
fof(f58,plain,
( sP21
| ~ p_3
| ~ sP22 ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
( p_3
| ~ sP21
| ~ sP22 ),
inference(cnf_transformation,[],[f30]) ).
fof(f60,plain,
( sP22
| sP21
| p_3 ),
inference(cnf_transformation,[],[f30]) ).
fof(f61,plain,
( sP22
| ~ sP21
| ~ p_3 ),
inference(cnf_transformation,[],[f30]) ).
fof(f62,plain,
( sP20
| ~ p_4
| ~ sP21 ),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
( p_4
| ~ sP20
| ~ sP21 ),
inference(cnf_transformation,[],[f31]) ).
fof(f64,plain,
( sP21
| sP20
| p_4 ),
inference(cnf_transformation,[],[f31]) ).
fof(f65,plain,
( sP21
| ~ sP20
| ~ p_4 ),
inference(cnf_transformation,[],[f31]) ).
fof(f66,plain,
( sP19
| ~ p_5
| ~ sP20 ),
inference(cnf_transformation,[],[f32]) ).
fof(f67,plain,
( p_5
| ~ sP19
| ~ sP20 ),
inference(cnf_transformation,[],[f32]) ).
fof(f68,plain,
( sP20
| sP19
| p_5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f69,plain,
( sP20
| ~ sP19
| ~ p_5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f70,plain,
( sP18
| ~ p_6
| ~ sP19 ),
inference(cnf_transformation,[],[f33]) ).
fof(f71,plain,
( p_6
| ~ sP18
| ~ sP19 ),
inference(cnf_transformation,[],[f33]) ).
fof(f72,plain,
( sP19
| sP18
| p_6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f73,plain,
( sP19
| ~ sP18
| ~ p_6 ),
inference(cnf_transformation,[],[f33]) ).
fof(f74,plain,
( sP17
| ~ p_7
| ~ sP18 ),
inference(cnf_transformation,[],[f34]) ).
fof(f75,plain,
( p_7
| ~ sP17
| ~ sP18 ),
inference(cnf_transformation,[],[f34]) ).
fof(f76,plain,
( sP18
| sP17
| p_7 ),
inference(cnf_transformation,[],[f34]) ).
fof(f77,plain,
( sP18
| ~ sP17
| ~ p_7 ),
inference(cnf_transformation,[],[f34]) ).
fof(f78,plain,
( sP16
| ~ p_8
| ~ sP17 ),
inference(cnf_transformation,[],[f35]) ).
fof(f79,plain,
( p_8
| ~ sP16
| ~ sP17 ),
inference(cnf_transformation,[],[f35]) ).
fof(f80,plain,
( sP17
| sP16
| p_8 ),
inference(cnf_transformation,[],[f35]) ).
fof(f81,plain,
( sP17
| ~ sP16
| ~ p_8 ),
inference(cnf_transformation,[],[f35]) ).
fof(f82,plain,
( sP15
| ~ p_9
| ~ sP16 ),
inference(cnf_transformation,[],[f36]) ).
fof(f83,plain,
( p_9
| ~ sP15
| ~ sP16 ),
inference(cnf_transformation,[],[f36]) ).
fof(f84,plain,
( sP16
| sP15
| p_9 ),
inference(cnf_transformation,[],[f36]) ).
fof(f85,plain,
( sP16
| ~ sP15
| ~ p_9 ),
inference(cnf_transformation,[],[f36]) ).
fof(f86,plain,
( sP14
| ~ p_10
| ~ sP15 ),
inference(cnf_transformation,[],[f37]) ).
fof(f87,plain,
( p_10
| ~ sP14
| ~ sP15 ),
inference(cnf_transformation,[],[f37]) ).
fof(f88,plain,
( sP15
| sP14
| p_10 ),
inference(cnf_transformation,[],[f37]) ).
fof(f89,plain,
( sP15
| ~ sP14
| ~ p_10 ),
inference(cnf_transformation,[],[f37]) ).
fof(f90,plain,
( sP13
| ~ p_11
| ~ sP14 ),
inference(cnf_transformation,[],[f38]) ).
fof(f91,plain,
( p_11
| ~ sP13
| ~ sP14 ),
inference(cnf_transformation,[],[f38]) ).
fof(f92,plain,
( sP14
| sP13
| p_11 ),
inference(cnf_transformation,[],[f38]) ).
fof(f93,plain,
( sP14
| ~ sP13
| ~ p_11 ),
inference(cnf_transformation,[],[f38]) ).
fof(f94,plain,
( sP12
| ~ p_12
| ~ sP13 ),
inference(cnf_transformation,[],[f39]) ).
fof(f95,plain,
( p_12
| ~ sP12
| ~ sP13 ),
inference(cnf_transformation,[],[f39]) ).
fof(f96,plain,
( sP13
| sP12
| p_12 ),
inference(cnf_transformation,[],[f39]) ).
fof(f97,plain,
( sP13
| ~ sP12
| ~ p_12 ),
inference(cnf_transformation,[],[f39]) ).
fof(f98,plain,
( sP11
| ~ p_13
| ~ sP12 ),
inference(cnf_transformation,[],[f40]) ).
fof(f99,plain,
( p_13
| ~ sP11
| ~ sP12 ),
inference(cnf_transformation,[],[f40]) ).
fof(f100,plain,
( sP12
| sP11
| p_13 ),
inference(cnf_transformation,[],[f40]) ).
fof(f101,plain,
( sP12
| ~ sP11
| ~ p_13 ),
inference(cnf_transformation,[],[f40]) ).
fof(f102,plain,
( sP10
| ~ p_14
| ~ sP11 ),
inference(cnf_transformation,[],[f41]) ).
fof(f103,plain,
( p_14
| ~ sP10
| ~ sP11 ),
inference(cnf_transformation,[],[f41]) ).
fof(f104,plain,
( sP11
| sP10
| p_14 ),
inference(cnf_transformation,[],[f41]) ).
fof(f105,plain,
( sP11
| ~ sP10
| ~ p_14 ),
inference(cnf_transformation,[],[f41]) ).
fof(f106,plain,
( sP9
| ~ p_1
| ~ sP10 ),
inference(cnf_transformation,[],[f42]) ).
fof(f107,plain,
( p_1
| ~ sP9
| ~ sP10 ),
inference(cnf_transformation,[],[f42]) ).
fof(f108,plain,
( sP10
| sP9
| p_1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f109,plain,
( sP10
| ~ sP9
| ~ p_1 ),
inference(cnf_transformation,[],[f42]) ).
fof(f110,plain,
( sP8
| ~ p_2
| ~ sP9 ),
inference(cnf_transformation,[],[f43]) ).
fof(f111,plain,
( p_2
| ~ sP8
| ~ sP9 ),
inference(cnf_transformation,[],[f43]) ).
fof(f112,plain,
( sP9
| sP8
| p_2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f113,plain,
( sP9
| ~ sP8
| ~ p_2 ),
inference(cnf_transformation,[],[f43]) ).
fof(f114,plain,
( sP7
| ~ p_3
| ~ sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f115,plain,
( p_3
| ~ sP7
| ~ sP8 ),
inference(cnf_transformation,[],[f44]) ).
fof(f116,plain,
( sP8
| sP7
| p_3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f117,plain,
( sP8
| ~ sP7
| ~ p_3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f118,plain,
( sP6
| ~ p_4
| ~ sP7 ),
inference(cnf_transformation,[],[f45]) ).
fof(f119,plain,
( p_4
| ~ sP6
| ~ sP7 ),
inference(cnf_transformation,[],[f45]) ).
fof(f120,plain,
( sP7
| sP6
| p_4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f121,plain,
( sP7
| ~ sP6
| ~ p_4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f122,plain,
( sP5
| ~ p_5
| ~ sP6 ),
inference(cnf_transformation,[],[f46]) ).
fof(f123,plain,
( p_5
| ~ sP5
| ~ sP6 ),
inference(cnf_transformation,[],[f46]) ).
fof(f124,plain,
( sP6
| sP5
| p_5 ),
inference(cnf_transformation,[],[f46]) ).
fof(f125,plain,
( sP6
| ~ sP5
| ~ p_5 ),
inference(cnf_transformation,[],[f46]) ).
fof(f126,plain,
( sP4
| ~ p_6
| ~ sP5 ),
inference(cnf_transformation,[],[f47]) ).
fof(f127,plain,
( p_6
| ~ sP4
| ~ sP5 ),
inference(cnf_transformation,[],[f47]) ).
fof(f128,plain,
( sP5
| sP4
| p_6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f129,plain,
( sP5
| ~ sP4
| ~ p_6 ),
inference(cnf_transformation,[],[f47]) ).
fof(f130,plain,
( sP3
| ~ p_7
| ~ sP4 ),
inference(cnf_transformation,[],[f48]) ).
fof(f131,plain,
( p_7
| ~ sP3
| ~ sP4 ),
inference(cnf_transformation,[],[f48]) ).
fof(f132,plain,
( sP4
| sP3
| p_7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f133,plain,
( sP4
| ~ sP3
| ~ p_7 ),
inference(cnf_transformation,[],[f48]) ).
fof(f134,plain,
( sP2
| ~ p_8
| ~ sP3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f135,plain,
( p_8
| ~ sP2
| ~ sP3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f136,plain,
( sP3
| sP2
| p_8 ),
inference(cnf_transformation,[],[f49]) ).
fof(f137,plain,
( sP3
| ~ sP2
| ~ p_8 ),
inference(cnf_transformation,[],[f49]) ).
fof(f138,plain,
( sP1
| ~ p_9
| ~ sP2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f139,plain,
( p_9
| ~ sP1
| ~ sP2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f140,plain,
( sP2
| sP1
| p_9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f141,plain,
( sP2
| ~ sP1
| ~ p_9 ),
inference(cnf_transformation,[],[f50]) ).
fof(f142,plain,
( sP0
| ~ p_10
| ~ sP1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f143,plain,
( p_10
| ~ sP0
| ~ sP1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f144,plain,
( sP1
| sP0
| p_10 ),
inference(cnf_transformation,[],[f51]) ).
fof(f145,plain,
( sP1
| ~ sP0
| ~ p_10 ),
inference(cnf_transformation,[],[f51]) ).
fof(f146,plain,
( p_14
| ~ p_13
| ~ p_12
| ~ p_11
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f147,plain,
( p_13
| ~ p_14
| ~ p_12
| ~ p_11
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f148,plain,
( p_12
| p_14
| p_13
| ~ p_11
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f149,plain,
( p_12
| ~ p_14
| ~ p_13
| ~ p_11
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f150,plain,
( p_11
| p_14
| ~ p_13
| p_12
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f151,plain,
( p_11
| p_13
| ~ p_14
| p_12
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f152,plain,
( p_11
| p_14
| p_13
| ~ p_12
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f153,plain,
( p_11
| ~ p_14
| ~ p_13
| ~ p_12
| ~ sP0 ),
inference(cnf_transformation,[],[f52]) ).
fof(f154,plain,
( sP0
| p_14
| ~ p_13
| ~ p_12
| p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f155,plain,
( sP0
| p_13
| ~ p_14
| ~ p_12
| p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f156,plain,
( sP0
| p_12
| p_14
| p_13
| p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f157,plain,
( sP0
| p_12
| ~ p_14
| ~ p_13
| p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f158,plain,
( sP0
| p_14
| ~ p_13
| p_12
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f159,plain,
( sP0
| p_13
| ~ p_14
| p_12
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f160,plain,
( sP0
| p_14
| p_13
| ~ p_12
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f161,plain,
( sP0
| ~ p_14
| ~ p_13
| ~ p_12
| ~ p_11 ),
inference(cnf_transformation,[],[f52]) ).
fof(f162,plain,
( sP23
| p_1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f163,plain,
( ~ sP23
| ~ p_1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f164,plain,
( ~ sP23
| sP22
| p_2 ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f165,plain,
( ~ sP23
| ~ sP22
| ~ p_2 ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f166,plain,
( ~ p_2
| sP22
| sP23 ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f167,plain,
( ~ sP22
| p_2
| sP23 ),
inference(consistent_polarity_flipping,[],[f54]) ).
fof(f168,plain,
( ~ sP22
| ~ sP21
| p_3 ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f169,plain,
( ~ sP22
| sP21
| ~ p_3 ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f170,plain,
( ~ p_3
| ~ sP21
| sP22 ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f171,plain,
( sP21
| p_3
| sP22 ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f172,plain,
( sP21
| sP20
| ~ p_4 ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f173,plain,
( sP21
| ~ sP20
| p_4 ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f174,plain,
( p_4
| sP20
| ~ sP21 ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f175,plain,
( ~ sP20
| ~ p_4
| ~ sP21 ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f176,plain,
( ~ sP20
| sP19
| ~ p_5 ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f177,plain,
( ~ sP20
| ~ sP19
| p_5 ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f178,plain,
( p_5
| sP19
| sP20 ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f179,plain,
( ~ sP19
| ~ p_5
| sP20 ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f180,plain,
( ~ sP19
| ~ sP18
| p_6 ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f181,plain,
( ~ sP19
| sP18
| ~ p_6 ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f182,plain,
( ~ p_6
| ~ sP18
| sP19 ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f183,plain,
( sP18
| p_6
| sP19 ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f184,plain,
( sP18
| ~ sP17
| p_7 ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f185,plain,
( sP18
| sP17
| ~ p_7 ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f186,plain,
( ~ p_7
| ~ sP17
| ~ sP18 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f187,plain,
( sP17
| p_7
| ~ sP18 ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f188,plain,
( sP17
| sP16
| p_8 ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f189,plain,
( sP17
| ~ sP16
| ~ p_8 ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f190,plain,
( ~ p_8
| sP16
| ~ sP17 ),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f191,plain,
( ~ sP16
| p_8
| ~ sP17 ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f192,plain,
( ~ sP16
| sP15
| ~ p_9 ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f193,plain,
( ~ sP16
| ~ sP15
| p_9 ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f194,plain,
( p_9
| sP15
| sP16 ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f195,plain,
( ~ sP15
| ~ p_9
| sP16 ),
inference(consistent_polarity_flipping,[],[f82]) ).
fof(f196,plain,
( ~ sP15
| sP14
| ~ p_10 ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f197,plain,
( ~ sP15
| ~ sP14
| p_10 ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f198,plain,
( p_10
| sP14
| sP15 ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f199,plain,
( ~ sP14
| ~ p_10
| sP15 ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f200,plain,
( ~ sP14
| ~ sP13
| ~ p_11 ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f201,plain,
( ~ sP14
| sP13
| p_11 ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f202,plain,
( p_11
| ~ sP13
| sP14 ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f203,plain,
( sP13
| ~ p_11
| sP14 ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f204,plain,
( sP13
| sP12
| ~ p_12 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f205,plain,
( sP13
| ~ sP12
| p_12 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f206,plain,
( p_12
| sP12
| ~ sP13 ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f207,plain,
( ~ sP12
| ~ p_12
| ~ sP13 ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f208,plain,
( ~ sP12
| ~ sP11
| ~ p_13 ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f209,plain,
( ~ sP12
| sP11
| p_13 ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f210,plain,
( p_13
| ~ sP11
| sP12 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f211,plain,
( sP11
| ~ p_13
| sP12 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f212,plain,
( sP10
| sP9
| p_1 ),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f213,plain,
( sP10
| ~ sP9
| ~ p_1 ),
inference(consistent_polarity_flipping,[],[f108]) ).
fof(f214,plain,
( ~ p_1
| sP9
| ~ sP10 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f215,plain,
( ~ sP9
| p_1
| ~ sP10 ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f216,plain,
( ~ sP9
| ~ sP8
| p_2 ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f217,plain,
( ~ sP9
| sP8
| ~ p_2 ),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f218,plain,
( ~ p_2
| ~ sP8
| sP9 ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f219,plain,
( sP8
| p_2
| sP9 ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f220,plain,
( sP8
| sP7
| p_3 ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f221,plain,
( sP8
| ~ sP7
| ~ p_3 ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f222,plain,
( ~ p_3
| sP7
| ~ sP8 ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f223,plain,
( ~ sP7
| p_3
| ~ sP8 ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f224,plain,
( ~ sP7
| ~ sP6
| ~ p_4 ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f225,plain,
( ~ sP7
| sP6
| p_4 ),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f226,plain,
( p_4
| ~ sP6
| sP7 ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f227,plain,
( sP6
| ~ p_4
| sP7 ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f228,plain,
( sP5
| ~ sP4
| p_6 ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f229,plain,
( sP5
| sP4
| ~ p_6 ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f230,plain,
( ~ p_6
| ~ sP4
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f231,plain,
( sP4
| p_6
| ~ sP5 ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f232,plain,
( sP4
| sP3
| p_7 ),
inference(consistent_polarity_flipping,[],[f133]) ).
fof(f233,plain,
( sP4
| ~ sP3
| ~ p_7 ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f234,plain,
( ~ p_7
| sP3
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f235,plain,
( ~ sP3
| p_7
| ~ sP4 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f236,plain,
( ~ sP3
| ~ sP2
| p_8 ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f237,plain,
( ~ sP3
| sP2
| ~ p_8 ),
inference(consistent_polarity_flipping,[],[f136]) ).
fof(f238,plain,
( ~ p_8
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f135]) ).
fof(f239,plain,
( sP2
| p_8
| sP3 ),
inference(consistent_polarity_flipping,[],[f134]) ).
fof(f240,plain,
( sP2
| sP1
| ~ p_9 ),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f241,plain,
( sP2
| ~ sP1
| p_9 ),
inference(consistent_polarity_flipping,[],[f140]) ).
fof(f242,plain,
( p_9
| sP1
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f139]) ).
fof(f243,plain,
( ~ sP1
| ~ p_9
| ~ sP2 ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f244,plain,
( ~ sP1
| ~ sP0
| ~ p_10 ),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f245,plain,
( ~ sP1
| sP0
| p_10 ),
inference(consistent_polarity_flipping,[],[f144]) ).
fof(f246,plain,
( p_10
| ~ sP0
| sP1 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f247,plain,
( sP0
| ~ p_10
| sP1 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f248,plain,
( sP23
| p_1 ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f249,plain,
( ~ sP23
| ~ p_1 ),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f250,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f105,f104,f103,f102,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f225,f226,f227,f125,f124,f123,f122,f228,f229,f230,f231,f232,f233,f234,f235,f236,f237,f238,f239,f240,f241,f242,f243,f244,f245,f246,f247,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f248,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN007+1.014 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:20:43 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.28 % (2332806)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (2332811)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1910953101_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % The problem is propositional so there are no sorts!
% 0.21/0.28 % TRYING []
% 0.21/0.28 % (2332812)% WARNING: option uhcvi not known.
% 0.21/0.28 % (2332812)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3257378256:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (2332813)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=193833896:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (2332814)dis+10_1_sil=32000:sp=arity:random_seed=4250659371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (2332815)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3500475500:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (2332811) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2332806-2332811"...
% 0.21/0.28 % (2332811)...printing done.
% 0.21/0.28 % (2332817)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3270864518:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % (2332811)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (2332811)------------------------------
% 0.21/0.28 % (2332811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (2332811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (2332811)CaDiCaL version: 2.1.3
% 0.21/0.28 % (2332811)Termination reason: Refutation
% 0.21/0.28 % (2332811)Time elapsed: 0.018 s
% 0.21/0.28 % (2332811)Peak memory usage: 11 MB
% 0.21/0.28 % (2332811)Instructions burned: 85 (million)
% 0.21/0.28 % (2332806)Success in time 0.053 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------