TSTP Solution File: SYO634-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 19:51:49 EDT 2022
% Result : Unsatisfiable 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 32
% Syntax : Number of formulae : 94 ( 5 unt; 0 def)
% Number of atoms : 324 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 419 ( 189 ~; 210 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 14 ( 4 avg)
% Number of predicates : 22 ( 21 usr; 21 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 157 ( 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f52,f65,f69,f74,f79,f84,f89,f94,f100,f102,f104,f108,f110,f112,f114,f116,f118,f121,f123,f125]) ).
fof(f125,plain,
( ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| ~ spl0_13
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f88,f64]) ).
fof(f64,plain,
( ! [X12] : ~ 'E'(f(X12),'0')
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_13
<=> ! [X12] : ~ 'E'(f(X12),'0') ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f88,plain,
( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_18
<=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0') ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f123,plain,
( ~ spl0_11
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f122,plain,
( $false
| ~ spl0_11
| ~ spl0_16 ),
inference(resolution,[],[f78,f58]) ).
fof(f58,plain,
( ! [X4] : ~ 'E'(f(X4),s('0'))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_11
<=> ! [X4] : ~ 'E'(f(X4),s('0')) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f78,plain,
( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_16
<=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0')) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f121,plain,
( ~ spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| ~ spl0_12
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f73,f61]) ).
fof(f61,plain,
( ! [X6] : ~ 'E'(f(X6),s(s('0')))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_12
<=> ! [X6] : ~ 'E'(f(X6),s(s('0'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f73,plain,
( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_15
<=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f118,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl0_4
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f35,f55]) ).
fof(f55,plain,
( ! [X8] : ~ 'E'(f(X8),s(s(s('0'))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_10
<=> ! [X8] : ~ 'E'(f(X8),s(s(s('0')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f35,plain,
( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_4
<=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0')))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f116,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f26,f105]) ).
fof(f105,plain,
( ! [X1] : 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f51,f3]) ).
fof(f3,axiom,
! [X11] : 'E'(f(X11),s(s(s(s(s(s(s(s(s(s('0'))))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11_03) ).
fof(f51,plain,
( ! [X1] :
( 'E'(f(X1),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_9
<=> ! [X1] :
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f(X1),s(s(s(s(s(s(s(s('0'))))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f26,plain,
( ! [X2] : ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_1
<=> ! [X2] : ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f114,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f32,f106]) ).
fof(f106,plain,
( ! [X1] : 'E'(f(X1),s(s(s(s(s(s('0')))))))
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f68,f3]) ).
fof(f68,plain,
( ! [X1] :
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f(X1),s(s(s(s(s(s('0'))))))) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_14
<=> ! [X1] :
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f(X1),s(s(s(s(s(s('0'))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f32,plain,
( ! [X9] : ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_3
<=> ! [X9] : ~ 'E'(f(X9),s(s(s(s(s(s('0'))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f112,plain,
( ~ spl0_2
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl0_2
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f29,f93]) ).
fof(f93,plain,
( ! [X1] : 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_19
<=> ! [X1] : 'E'(f(X1),s(s(s(s(s('0')))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f29,plain,
( ! [X3] : ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_2
<=> ! [X3] : ~ 'E'(f(X3),s(s(s(s(s('0')))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f110,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f109,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f38,f3]) ).
fof(f38,plain,
( ! [X1] : ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_5
<=> ! [X1] : ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0'))))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f108,plain,
( ~ spl0_8
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| ~ spl0_8
| ~ spl0_17 ),
inference(resolution,[],[f83,f47]) ).
fof(f47,plain,
( ! [X5] : ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_8
<=> ! [X5] : ~ 'E'(f(X5),s(s(s(s('0'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f83,plain,
( ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0')))))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_17
<=> ! [X10] : 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f104,plain,
( ~ spl0_7
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl0_7
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f44,f99]) ).
fof(f99,plain,
( ! [X1] : 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_20
<=> ! [X1] : 'E'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f44,plain,
( ! [X7] : ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_7
<=> ! [X7] : ~ 'E'(f(X7),s(s(s(s(s(s(s('0')))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f102,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f101,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f41,f9]) ).
fof(f9,axiom,
! [X1] : 'E'(f(X1),s(s(s(s(s(s(s(s(s('0')))))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17_09) ).
fof(f41,plain,
( ! [X0] : ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_6
<=> ! [X0] : ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f100,plain,
( spl0_20
| spl0_1 ),
inference(avatar_split_clause,[],[f96,f25,f98]) ).
fof(f96,plain,
! [X2,X1] :
( ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(f(X1),s(s(s(s(s(s(s('0')))))))) ),
inference(subsumption_resolution,[],[f95,f9]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
inference(subsumption_resolution,[],[f14,f3]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| 'E'(f(X1),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_14) ).
fof(f94,plain,
( spl0_19
| spl0_7
| spl0_3
| spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f90,f40,f25,f31,f43,f92]) ).
fof(f90,plain,
! [X2,X0,X1,X9,X7] :
( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| 'E'(f(X1),s(s(s(s(s('0')))))) ),
inference(subsumption_resolution,[],[f20,f3]) ).
fof(f20,axiom,
! [X2,X0,X1,X9,X7] :
( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(f(X1),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15_20) ).
fof(f89,plain,
( spl0_6
| spl0_1
| spl0_11
| spl0_8
| spl0_10
| spl0_18
| spl0_3
| spl0_7
| spl0_2
| spl0_12 ),
inference(avatar_split_clause,[],[f85,f60,f28,f43,f31,f87,f54,f46,f57,f25,f40]) ).
fof(f85,plain,
! [X2,X3,X10,X0,X8,X6,X9,X7,X4,X5] :
( ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0')))))))))) ),
inference(subsumption_resolution,[],[f22,f3]) ).
fof(f22,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s('0'))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),'0')
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10_22) ).
fof(f84,plain,
( spl0_17
| spl0_2
| spl0_7
| spl0_3
| spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f80,f25,f40,f31,f43,f28,f82]) ).
fof(f80,plain,
! [X2,X3,X10,X0,X9,X7] :
( ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f12,f3]) ).
fof(f12,axiom,
! [X2,X3,X10,X0,X1,X9,X7] :
( ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X3),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9_12) ).
fof(f79,plain,
( spl0_8
| spl0_16
| spl0_7
| spl0_3
| spl0_12
| spl0_1
| spl0_2
| spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f75,f54,f40,f28,f25,f60,f31,f43,f77,f46]) ).
fof(f75,plain,
! [X2,X3,X10,X0,X8,X6,X9,X7,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
| ~ 'E'(f(X5),s(s(s(s('0'))))) ),
inference(subsumption_resolution,[],[f11,f3]) ).
fof(f11,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X5] :
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s('0'))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X3),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_11) ).
fof(f74,plain,
( spl0_1
| spl0_8
| spl0_15
| spl0_2
| spl0_6
| spl0_3
| spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f70,f54,f43,f31,f40,f28,f72,f46,f25]) ).
fof(f70,plain,
! [X2,X3,X10,X0,X8,X9,X7,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0')))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
inference(subsumption_resolution,[],[f19,f3]) ).
fof(f19,axiom,
! [X2,X3,X10,X0,X1,X8,X9,X7,X5] :
( ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_0_19) ).
fof(f69,plain,
( spl0_1
| spl0_7
| spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f6,f67,f40,f43,f25]) ).
fof(f6,axiom,
! [X2,X0,X1,X7] :
( ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f(X1),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_06) ).
fof(f65,plain,
( spl0_2
| spl0_8
| spl0_7
| spl0_1
| spl0_10
| spl0_6
| spl0_11
| spl0_5
| spl0_12
| spl0_13
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f31,f63,f60,f37,f57,f40,f54,f25,f43,f46,f28]) ).
fof(f17,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X12),'0')
| ~ 'E'(f(X6),s(s('0')))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| ~ 'E'(f(X4),s('0'))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X8),s(s(s('0'))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0')))))))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X3),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_17) ).
fof(f52,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f1,f40,f50]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f(X1),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21_01) ).
fof(f48,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f46,f43,f40,f37,f34,f31,f28,f25]) ).
fof(f15,axiom,
! [X2,X3,X10,X0,X1,X9,X7,X5] :
( ~ 'E'(f(X5),s(s(s(s('0')))))
| ~ 'E'(f(X7),s(s(s(s(s(s(s('0'))))))))
| ~ 'E'(f(X0),s(s(s(s(s(s(s(s(s('0'))))))))))
| ~ 'E'(f(X1),s(s(s(s(s(s(s(s(s(s('0')))))))))))
| 'E'(f('AP'(s(s(s(s(s(s(s(s(s(s(s('0'))))))))))),X10)),s(s(s('0'))))
| ~ 'E'(f(X9),s(s(s(s(s(s('0')))))))
| ~ 'E'(f(X3),s(s(s(s(s('0'))))))
| ~ 'E'(f(X2),s(s(s(s(s(s(s(s('0'))))))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYO634-1 : TPTP v8.1.0. Released v7.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 23:11:50 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.52 % (791)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.52 % (787)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.22/0.52 % (782)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (795)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.53 % (784)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.53 % (781)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.22/0.53 % (792)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (794)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.54 % (803)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.54 % (795)First to succeed.
% 0.22/0.54 % (800)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.54 % (808)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.55 % (795)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (795)------------------------------
% 0.22/0.55 % (795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (795)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (795)Memory used [KB]: 5500
% 0.22/0.55 % (795)Time elapsed: 0.113 s
% 0.22/0.55 % (795)Instructions burned: 3 (million)
% 0.22/0.55 % (795)------------------------------
% 0.22/0.55 % (795)------------------------------
% 0.22/0.55 % (780)Success in time 0.174 s
%------------------------------------------------------------------------------