TSTP Solution File: SYO663-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO663-1 : TPTP v8.1.0. Released v7.3.0.
% 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 : n010.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 19:51:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 90 ( 3 unt; 0 def)
% Number of atoms : 318 ( 0 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 408 ( 180 ~; 221 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f80,f91,f112,f118,f127,f132,f140,f142,f144,f151,f163]) ).
fof(f163,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f162,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f161,f111]) ).
fof(f111,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl0_8
<=> 'E'(s('0'),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f161,plain,
( ~ 'E'(s('0'),f(suc(suc(suc(z)))))
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f158,f86]) ).
fof(f86,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_5
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f158,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(suc(suc(z)))))
| spl0_6 ),
inference(resolution,[],[f157,f54]) ).
fof(f54,plain,
! [X8] :
( ~ 'E'(s('0'),f(suc(suc(X8))))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(s('0'),f(suc(X8))) ),
inference(subsumption_resolution,[],[f53,f52]) ).
fof(f52,plain,
! [X8] :
( ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(X8))
| 'E'(f(X8),f(suc(X8))) ),
inference(subsumption_resolution,[],[f33,f25]) ).
fof(f25,axiom,
! [X8,X6,X7,X5] :
( ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(X7))
| 'E'(f(X8),f(suc(X8)))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ iLEQ(suc(X7),suc(X5))
| ~ 'E'(s('0'),f(X8))
| ~ iLEQ(suc(X5),suc(X6))
| ~ 'E'(s('0'),f(X6))
| 'E'(f(X5),f(suc(X5)))
| ~ iLEQ(suc(X8),suc(X7))
| 'E'(f(X7),f(suc(X7)))
| 'E'(f(X6),f(suc(X6))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_371) ).
fof(f33,axiom,
! [X8] :
( ~ 'E'(s('0'),f(suc(X8)))
| 'E'(f(X8),f(suc(X8)))
| ~ 'E'(s('0'),f(X8))
| iLEQ(suc(X8),suc(X8)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_268) ).
fof(f53,plain,
! [X8] :
( ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(f(X8),f(suc(X8)))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(s('0'),f(suc(suc(X8)))) ),
inference(subsumption_resolution,[],[f6,f4]) ).
fof(f4,axiom,
! [X8,X6,X7,X5] :
( ~ 'E'(s('0'),f(suc(X6)))
| ~ 'E'(s('0'),f(suc(X5)))
| ~ 'E'(s('0'),f(suc(suc(X5))))
| ~ 'E'(s('0'),f(X6))
| ~ 'E'(s('0'),f(X7))
| ~ 'E'(f(X8),f(suc(X8)))
| ~ 'E'(s('0'),f(suc(X7)))
| ~ iLEQ(suc(X5),suc(X6))
| ~ 'E'(s('0'),f(X5))
| ~ 'E'(s('0'),f(suc(suc(X8))))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(f(X6),f(suc(X6)))
| ~ iLEQ(suc(X8),suc(X7))
| ~ 'E'(s('0'),f(suc(suc(X6))))
| ~ 'E'(f(X5),f(suc(X5)))
| ~ iLEQ(suc(X7),suc(X5))
| ~ 'E'(s('0'),f(suc(suc(X7))))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(f(X7),f(suc(X7))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f6,axiom,
! [X8] :
( iLEQ(suc(X8),suc(X8))
| ~ 'E'(s('0'),f(suc(suc(X8))))
| ~ 'E'(s('0'),f(suc(X8)))
| ~ 'E'(s('0'),f(X8))
| ~ 'E'(f(X8),f(suc(X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55) ).
fof(f157,plain,
( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
| spl0_6 ),
inference(subsumption_resolution,[],[f156,f89]) ).
fof(f89,plain,
( ~ 'E'('0',f(suc(suc(z))))
| spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_6
<=> 'E'('0',f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f156,plain,
( 'E'(s('0'),f(suc(suc(suc(suc(z))))))
| 'E'('0',f(suc(suc(z)))) ),
inference(resolution,[],[f123,f26]) ).
fof(f26,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_292) ).
fof(f123,plain,
! [X2] :
( 'LE'(f(X2),'0')
| 'E'('0',f(suc(suc(X2))))
| 'E'(s('0'),f(suc(suc(suc(suc(X2)))))) ),
inference(resolution,[],[f120,f27]) ).
fof(f27,axiom,
! [X4] :
( ~ 'LE'(f(suc(suc(X4))),s('0'))
| 'LE'(f(X4),'0')
| 'E'('0',f(suc(suc(X4)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_93) ).
fof(f120,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f7,f11]) ).
fof(f11,axiom,
! [X10] : 'LE'(f(X10),s(s('0'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_216) ).
fof(f7,axiom,
! [X9] :
( ~ 'LE'(f(suc(suc(X9))),s(s('0')))
| 'E'(s('0'),f(suc(suc(X9))))
| 'LE'(f(X9),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_312) ).
fof(f151,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f150,f77,f63]) ).
fof(f63,plain,
( spl0_1
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f77,plain,
( spl0_4
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f150,plain,
( 'E'('0',f(z))
| spl0_4 ),
inference(subsumption_resolution,[],[f102,f78]) ).
fof(f78,plain,
( ~ 'E'(s('0'),f(suc(z)))
| spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f102,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f99,f26]) ).
fof(f99,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f98,f3]) ).
fof(f3,axiom,
! [X4] :
( ~ 'LE'(f(X4),s('0'))
| 'LE'(f(X4),'0')
| 'E'('0',f(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_458) ).
fof(f98,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(suc(X0))) ),
inference(resolution,[],[f42,f11]) ).
fof(f42,axiom,
! [X9] :
( ~ 'LE'(f(suc(X9)),s(s('0')))
| 'LE'(f(X9),s('0'))
| 'E'(s('0'),f(suc(X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_564) ).
fof(f144,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f143,f88,f73,f63]) ).
fof(f73,plain,
( spl0_3
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f143,plain,
( ~ 'E'('0',f(z))
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f113,f75]) ).
fof(f75,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f113,plain,
( ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(z))
| ~ spl0_6 ),
inference(resolution,[],[f90,f57]) ).
fof(f57,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) ),
inference(subsumption_resolution,[],[f56,f55]) ).
fof(f55,plain,
! [X0] :
( 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) ),
inference(subsumption_resolution,[],[f8,f19]) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'('0',f(suc(X2)))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(X1))
| 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X0))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X2))
| 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X3))
| 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_325) ).
fof(f8,axiom,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_324) ).
fof(f56,plain,
! [X0] :
( ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) ),
inference(subsumption_resolution,[],[f34,f45]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ iLEQ(suc(X1),suc(X2))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1)) ),
inference(subsumption_resolution,[],[f31,f17]) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ iLEQ(suc(X1),suc(X2))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(X3))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_578) ).
fof(f31,axiom,
! [X2,X3,X0,X1] :
( ~ 'E'('0',f(X3))
| ~ iLEQ(suc(X1),suc(X2))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X1))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'('0',f(suc(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_593) ).
fof(f34,axiom,
! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_448) ).
fof(f90,plain,
( 'E'('0',f(suc(suc(z))))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f142,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f141,f84,f63]) ).
fof(f141,plain,
( 'E'('0',f(z))
| spl0_5 ),
inference(subsumption_resolution,[],[f124,f85]) ).
fof(f85,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f124,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(z)) ),
inference(resolution,[],[f121,f26]) ).
fof(f121,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(suc(suc(X0))))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f120,f3]) ).
fof(f140,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f139,f73,f84]) ).
fof(f139,plain,
( 'E'(s('0'),f(suc(suc(z))))
| spl0_3 ),
inference(subsumption_resolution,[],[f105,f74]) ).
fof(f74,plain,
( ~ 'E'('0',f(suc(z)))
| spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f105,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f100,f26]) ).
fof(f100,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(suc(X1))))
| 'E'('0',f(suc(X1))) ),
inference(resolution,[],[f98,f15]) ).
fof(f15,axiom,
! [X4] :
( ~ 'LE'(f(suc(X4)),s('0'))
| 'LE'(f(X4),'0')
| 'E'('0',f(suc(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_539) ).
fof(f132,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f130,f86]) ).
fof(f130,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f128,f79]) ).
fof(f79,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f128,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_8 ),
inference(resolution,[],[f111,f54]) ).
fof(f127,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f126,f73,f109]) ).
fof(f126,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| spl0_3 ),
inference(subsumption_resolution,[],[f125,f74]) ).
fof(f125,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f122,f26]) ).
fof(f122,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(suc(suc(X1))))) ),
inference(resolution,[],[f120,f15]) ).
fof(f118,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f117,f84,f67,f77]) ).
fof(f67,plain,
( spl0_2
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f117,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f106,f69]) ).
fof(f69,plain,
( 'E'(s('0'),f(z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f106,plain,
( ~ 'E'(s('0'),f(z))
| ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_5 ),
inference(resolution,[],[f54,f86]) ).
fof(f112,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f107,f109,f88]) ).
fof(f107,plain,
( 'E'(s('0'),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(suc(z)))) ),
inference(resolution,[],[f101,f26]) ).
fof(f101,plain,
! [X2] :
( 'LE'(f(X2),'0')
| 'E'('0',f(suc(suc(X2))))
| 'E'(s('0'),f(suc(suc(suc(X2))))) ),
inference(resolution,[],[f98,f27]) ).
fof(f91,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f82,f88,f84]) ).
fof(f82,plain,
( 'E'('0',f(suc(suc(z))))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f81,f26]) ).
fof(f81,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(suc(suc(X0))))
| 'E'(s('0'),f(suc(suc(X0)))) ),
inference(resolution,[],[f27,f58]) ).
fof(f58,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f30,f11]) ).
fof(f30,axiom,
! [X9] :
( ~ 'LE'(f(X9),s(s('0')))
| 'E'(s('0'),f(X9))
| 'LE'(f(X9),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_327) ).
fof(f80,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f71,f77,f73]) ).
fof(f71,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f60,f26]) ).
fof(f60,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(X1)))
| 'E'('0',f(suc(X1))) ),
inference(resolution,[],[f58,f15]) ).
fof(f70,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f61,f67,f63]) ).
fof(f61,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference(resolution,[],[f59,f26]) ).
fof(f59,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f58,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO663-1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 23:03:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (6163)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.49 % (6155)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)
% 0.19/0.50 % (6147)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (6144)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (6153)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (6142)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)
% 0.19/0.52 % (6143)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)
% 0.19/0.53 % (6145)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (6152)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (6161)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (6157)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (6141)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)
% 0.19/0.54 % (6160)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (6154)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (6156)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.55 % (6165)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (6149)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (6166)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 % (6158)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 % (6168)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56 % (6159)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (6150)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)
% 0.19/0.57 % (6167)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)
% 0.19/0.57 % (6148)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.57 % (6149)Instruction limit reached!
% 0.19/0.57 % (6149)------------------------------
% 0.19/0.57 % (6149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (6149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (6149)Termination reason: Unknown
% 0.19/0.57 % (6149)Termination phase: Blocked clause elimination
% 0.19/0.57
% 0.19/0.57 % (6149)Memory used [KB]: 1023
% 0.19/0.57 % (6149)Time elapsed: 0.003 s
% 0.19/0.57 % (6149)Instructions burned: 3 (million)
% 0.19/0.57 % (6149)------------------------------
% 0.19/0.57 % (6149)------------------------------
% 0.19/0.57 % (6146)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)
% 0.19/0.57 % (6148)Instruction limit reached!
% 0.19/0.57 % (6148)------------------------------
% 0.19/0.57 % (6148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (6148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (6148)Termination reason: Unknown
% 0.19/0.57 % (6148)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (6148)Memory used [KB]: 5500
% 0.19/0.57 % (6148)Time elapsed: 0.135 s
% 0.19/0.57 % (6148)Instructions burned: 7 (million)
% 0.19/0.57 % (6148)------------------------------
% 0.19/0.57 % (6148)------------------------------
% 0.19/0.57 % (6161)First to succeed.
% 0.19/0.57 % (6164)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.58 % (6151)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.58 % (6169)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.59 % (6170)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.59 % (6145)Instruction limit reached!
% 0.19/0.59 % (6145)------------------------------
% 0.19/0.59 % (6145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (6161)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (6161)------------------------------
% 0.19/0.59 % (6161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (6161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (6161)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (6161)Memory used [KB]: 5628
% 0.19/0.59 % (6161)Time elapsed: 0.168 s
% 0.19/0.59 % (6161)Instructions burned: 33 (million)
% 0.19/0.59 % (6161)------------------------------
% 0.19/0.59 % (6161)------------------------------
% 0.19/0.59 % (6140)Success in time 0.239 s
%------------------------------------------------------------------------------