TSTP Solution File: SYO680-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO680-1 : 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_uns --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 19:48:58 EDT 2022
% Result : Unsatisfiable 2.02s 0.77s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 39
% Syntax : Number of formulae : 244 ( 3 unt; 0 def)
% Number of atoms : 1013 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 1389 ( 620 ~; 748 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 25 ( 24 usr; 22 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 123 ( 123 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f439,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f68,f83,f90,f108,f128,f162,f169,f182,f183,f188,f213,f223,f227,f230,f232,f238,f239,f244,f261,f273,f277,f292,f327,f343,f348,f364,f390,f398,f406,f408,f411,f418,f430,f433,f434]) ).
fof(f434,plain,
( spl0_8
| spl0_11
| spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f113,f76,f105,f120,f87]) ).
fof(f87,plain,
( spl0_8
<=> 'E'('0',f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f120,plain,
( spl0_11
<=> 'E'(s(s('0')),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f105,plain,
( spl0_10
<=> 'E'(s(s(s('0'))),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f76,plain,
( spl0_6
<=> 'E'(s('0'),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f113,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference(resolution,[],[f38,f9]) ).
fof(f9,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_66) ).
fof(f38,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(X1)))
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(X1)))) ),
inference(resolution,[],[f24,f4]) ).
fof(f4,axiom,
! [X3] :
( ~ 'LE'(f(suc(X3)),s('0'))
| 'E'('0',f(suc(X3)))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_114) ).
fof(f24,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f21,f8]) ).
fof(f8,axiom,
! [X10] :
( ~ 'LE'(f(X10),s(s('0')))
| 'E'(s('0'),f(X10))
| 'LE'(f(X10),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f21,plain,
! [X1] :
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s(s('0'))),f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1))) ),
inference(resolution,[],[f19,f10]) ).
fof(f10,axiom,
! [X11] :
( ~ 'LE'(f(suc(X11)),s(s(s('0'))))
| 'LE'(f(X11),s(s('0')))
| 'E'(s(s('0')),f(suc(X11))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_84) ).
fof(f19,plain,
! [X14] :
( 'LE'(f(X14),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X14)) ),
inference(subsumption_resolution,[],[f12,f2]) ).
fof(f2,axiom,
! [X1] : 'LE'(f(X1),s(s(s(s('0'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_104) ).
fof(f12,axiom,
! [X14] :
( ~ 'LE'(f(X14),s(s(s(s('0')))))
| 'LE'(f(X14),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_127) ).
fof(f433,plain,
( spl0_8
| spl0_11
| spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f432,f144,f76,f120,f87]) ).
fof(f144,plain,
( spl0_13
<=> 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f432,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| spl0_13 ),
inference(subsumption_resolution,[],[f134,f145]) ).
fof(f145,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| spl0_13 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f134,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z)))) ),
inference(resolution,[],[f42,f9]) ).
fof(f42,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(X1)))
| 'E'('0',f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'(s(s('0')),f(suc(suc(X1)))) ),
inference(resolution,[],[f31,f4]) ).
fof(f31,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f28,f8]) ).
fof(f28,plain,
! [X1] :
( 'LE'(f(X1),s(s('0')))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(X1)))) ),
inference(resolution,[],[f26,f10]) ).
fof(f26,plain,
! [X14] :
( 'LE'(f(X14),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(suc(X14))) ),
inference(subsumption_resolution,[],[f15,f2]) ).
fof(f15,axiom,
! [X14] :
( 'E'(s(s(s('0'))),f(suc(X14)))
| 'LE'(f(X14),s(s(s('0'))))
| ~ 'LE'(f(suc(X14)),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_102) ).
fof(f430,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| spl0_17 ),
inference(subsumption_resolution,[],[f428,f59]) ).
fof(f59,plain,
( 'E'(s(s('0')),f(z))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_4
<=> 'E'(s(s('0')),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f428,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ spl0_7
| spl0_17 ),
inference(subsumption_resolution,[],[f426,f180]) ).
fof(f180,plain,
( ~ iLEQ(suc(z),suc(z))
| spl0_17 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl0_17
<=> iLEQ(suc(z),suc(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f426,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ spl0_7 ),
inference(resolution,[],[f82,f5]) ).
fof(f5,axiom,
! [X4] :
( ~ 'E'(s(s('0')),f(suc(X4)))
| ~ 'E'(s(s('0')),f(X4))
| iLEQ(suc(X4),suc(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f82,plain,
( 'E'(s(s('0')),f(suc(z)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_7
<=> 'E'(s(s('0')),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f418,plain,
( spl0_11
| spl0_6
| spl0_1
| spl0_13 ),
inference(avatar_split_clause,[],[f417,f144,f45,f76,f120]) ).
fof(f45,plain,
( spl0_1
<=> 'E'('0',f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f417,plain,
( 'E'('0',f(z))
| 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(suc(z))))
| spl0_13 ),
inference(subsumption_resolution,[],[f114,f145]) ).
fof(f114,plain,
( 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f71,f9]) ).
fof(f71,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s(s('0'))),f(suc(suc(suc(X0)))))
| 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(X0))
| 'E'(s(s('0')),f(suc(suc(X0)))) ),
inference(resolution,[],[f32,f17]) ).
fof(f17,axiom,
! [X3] :
( ~ 'LE'(f(X3),s('0'))
| 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_96) ).
fof(f32,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f28,f18]) ).
fof(f18,axiom,
! [X10] :
( ~ 'LE'(f(suc(X10)),s(s('0')))
| 'LE'(f(X10),s('0'))
| 'E'(s('0'),f(suc(X10))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f411,plain,
( spl0_1
| spl0_7
| spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f95,f105,f76,f80,f45]) ).
fof(f95,plain,
( 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z)))
| 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z)) ),
inference(resolution,[],[f61,f9]) ).
fof(f61,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f30,f17]) ).
fof(f30,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f27,f18]) ).
fof(f27,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s('0')),f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f26,f13]) ).
fof(f13,axiom,
! [X11] :
( ~ 'LE'(f(X11),s(s(s('0'))))
| 'LE'(f(X11),s(s('0')))
| 'E'(s(s('0')),f(X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_51) ).
fof(f408,plain,
( spl0_6
| spl0_10
| spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f109,f120,f45,f105,f76]) ).
fof(f109,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f69,f9]) ).
fof(f69,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s(s('0'))),f(suc(suc(X0))))
| 'E'(s(s('0')),f(suc(suc(X0))))
| 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f25,f17]) ).
fof(f25,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s(s('0')),f(suc(suc(X1))))
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f21,f18]) ).
fof(f406,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_17 ),
inference(subsumption_resolution,[],[f404,f180]) ).
fof(f404,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_1
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f403,f47]) ).
fof(f47,plain,
( 'E'('0',f(z))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f403,plain,
( iLEQ(suc(z),suc(z))
| ~ 'E'('0',f(z))
| ~ spl0_8 ),
inference(resolution,[],[f89,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| iLEQ(suc(X0),suc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_109) ).
fof(f89,plain,
( 'E'('0',f(suc(z)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f398,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f397,f179,f45,f100,f87]) ).
fof(f100,plain,
( spl0_9
<=> ! [X0] :
( ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X0),suc(z)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f397,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(z))) )
| ~ spl0_1
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f186,f47]) ).
fof(f186,plain,
( ! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(z))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(z))) )
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f185]) ).
fof(f185,plain,
( ! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(z)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(suc(z)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(z))
| ~ 'E'('0',f(z)) )
| ~ spl0_17 ),
inference(resolution,[],[f181,f11]) ).
fof(f11,axiom,
! [X0,X12,X13] :
( ~ iLEQ(suc(X12),suc(X13))
| ~ 'E'('0',f(suc(X12)))
| ~ 'E'('0',f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X12))
| ~ 'E'('0',f(X13))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(X12))
| ~ 'E'('0',f(suc(X13))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_144) ).
fof(f181,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f390,plain,
( ~ spl0_7
| ~ spl0_11
| ~ spl0_29
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl0_7
| ~ spl0_11
| ~ spl0_29
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f388,f347]) ).
fof(f347,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl0_29
<=> iLEQ(suc(suc(z)),suc(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f388,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_7
| ~ spl0_11
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f387,f82]) ).
fof(f387,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_7
| ~ spl0_11
| ~ spl0_33 ),
inference(duplicate_literal_removal,[],[f385]) ).
fof(f385,plain,
( ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_7
| ~ spl0_11
| ~ spl0_33 ),
inference(resolution,[],[f383,f122]) ).
fof(f122,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f383,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_7
| ~ spl0_11
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f381,f82]) ).
fof(f381,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(X0)) )
| ~ spl0_11
| ~ spl0_33 ),
inference(resolution,[],[f363,f122]) ).
fof(f363,plain,
( ! [X2,X1] :
( ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl0_33
<=> ! [X2,X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f364,plain,
( ~ spl0_7
| spl0_33
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f299,f120,f362,f80]) ).
fof(f299,plain,
( ! [X2,X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_11 ),
inference(resolution,[],[f122,f6]) ).
fof(f6,axiom,
! [X6,X4,X5] :
( ~ 'E'(s(s('0')),f(suc(X6)))
| ~ 'E'(s(s('0')),f(X5))
| ~ 'E'(s(s('0')),f(X4))
| ~ 'E'(s(s('0')),f(suc(X5)))
| ~ 'E'(s(s('0')),f(X6))
| ~ iLEQ(suc(X5),suc(X6))
| ~ iLEQ(suc(X4),suc(X5))
| ~ 'E'(s(s('0')),f(suc(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f348,plain,
( ~ spl0_7
| spl0_29
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f300,f120,f345,f80]) ).
fof(f300,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s('0')),f(suc(z)))
| ~ spl0_11 ),
inference(resolution,[],[f122,f5]) ).
fof(f343,plain,
( ~ spl0_11
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f342,plain,
( $false
| ~ spl0_11
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f341,f122]) ).
fof(f341,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_11
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f340,f237]) ).
fof(f237,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_20
<=> 'E'(s(s('0')),f(suc(suc(suc(z))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f340,plain,
( ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ spl0_11
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(resolution,[],[f339,f272]) ).
fof(f272,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl0_23
<=> iLEQ(suc(suc(suc(z))),suc(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f339,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_11
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f338,f237]) ).
fof(f338,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(suc(suc(z)))) )
| ~ spl0_11
| ~ spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f337,f122]) ).
fof(f337,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(suc(suc(z)))))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(suc(suc(z)))) )
| ~ spl0_23
| ~ spl0_24 ),
inference(resolution,[],[f276,f272]) ).
fof(f276,plain,
( ! [X2,X1] :
( ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X2))
| ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(suc(X1))) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl0_24
<=> ! [X2,X1] :
( ~ iLEQ(suc(X2),suc(X1))
| ~ 'E'(s(s('0')),f(X2))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(suc(suc(z)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f327,plain,
( ~ spl0_13
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f325,f243]) ).
fof(f243,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_21
<=> 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f325,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f324,f146]) ).
fof(f146,plain,
( 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f324,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ spl0_13
| ~ spl0_21 ),
inference(resolution,[],[f321,f304]) ).
fof(f304,plain,
( iLEQ(suc(suc(suc(suc(z)))),suc(suc(suc(suc(z)))))
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f302,f146]) ).
fof(f302,plain,
( iLEQ(suc(suc(suc(suc(z)))),suc(suc(suc(suc(z)))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ spl0_21 ),
inference(resolution,[],[f243,f16]) ).
fof(f16,axiom,
! [X9] :
( ~ 'E'(s(s(s('0'))),f(suc(X9)))
| ~ 'E'(s(s(s('0'))),f(X9))
| iLEQ(suc(X9),suc(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f321,plain,
( ! [X0] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) )
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f320,f243]) ).
fof(f320,plain,
( ! [X0] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z))))))
| ~ 'E'(s(s(s('0'))),f(suc(X0))) )
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f319,f146]) ).
fof(f319,plain,
( ! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z)))))) )
| ~ spl0_13
| ~ spl0_21 ),
inference(resolution,[],[f303,f304]) ).
fof(f303,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_13
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f301,f146]) ).
fof(f301,plain,
( ! [X0,X1] :
( ~ iLEQ(suc(suc(suc(suc(z)))),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) )
| ~ spl0_21 ),
inference(resolution,[],[f243,f7]) ).
fof(f7,axiom,
! [X8,X9,X7] :
( ~ 'E'(s(s(s('0'))),f(suc(X9)))
| ~ 'E'(s(s(s('0'))),f(X7))
| ~ 'E'(s(s(s('0'))),f(suc(X7)))
| ~ 'E'(s(s(s('0'))),f(X9))
| ~ 'E'(s(s(s('0'))),f(X8))
| ~ 'E'(s(s(s('0'))),f(suc(X8)))
| ~ iLEQ(suc(X7),suc(X8))
| ~ iLEQ(suc(X9),suc(X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_71) ).
fof(f292,plain,
( ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f291]) ).
fof(f291,plain,
( $false
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f290,f280]) ).
fof(f280,plain,
( iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f279,f107]) ).
fof(f107,plain,
( 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f279,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_13 ),
inference(resolution,[],[f146,f16]) ).
fof(f290,plain,
( ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f289,f107]) ).
fof(f289,plain,
( ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_10
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f288,plain,
( ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f286,f146]) ).
fof(f286,plain,
( ! [X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X1)) )
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f285,f107]) ).
fof(f285,plain,
( ! [X1] :
( ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ iLEQ(suc(suc(suc(z))),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(X1))) )
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[],[f281,f146]) ).
fof(f281,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(suc(suc(z))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_10
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f278,f107]) ).
fof(f278,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(suc(z))))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ iLEQ(suc(suc(suc(z))),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X1)) )
| ~ spl0_13 ),
inference(resolution,[],[f146,f7]) ).
fof(f277,plain,
( ~ spl0_11
| spl0_24
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f263,f235,f275,f120]) ).
fof(f263,plain,
( ! [X2,X1] :
( ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(suc(z))))
| ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X2)))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(X2)) )
| ~ spl0_20 ),
inference(resolution,[],[f237,f6]) ).
fof(f273,plain,
( spl0_23
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f264,f235,f120,f270]) ).
fof(f264,plain,
( ~ 'E'(s(s('0')),f(suc(suc(z))))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z))))
| ~ spl0_20 ),
inference(resolution,[],[f237,f5]) ).
fof(f261,plain,
( ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f260,plain,
( $false
| ~ spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f259,f78]) ).
fof(f78,plain,
( 'E'(s('0'),f(suc(z)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f259,plain,
( ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f258,f126]) ).
fof(f126,plain,
( 'E'(s('0'),f(suc(suc(z))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_12
<=> 'E'(s('0'),f(suc(suc(z)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f258,plain,
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f257,f249]) ).
fof(f249,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f247,f78]) ).
fof(f247,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(z)))
| ~ spl0_12 ),
inference(resolution,[],[f126,f3]) ).
fof(f3,axiom,
! [X2] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X2))
| iLEQ(suc(X2),suc(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_91) ).
fof(f257,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f256,f78]) ).
fof(f256,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(z))) )
| ~ spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f255,f126]) ).
fof(f255,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(suc(z))))
| ~ iLEQ(suc(X0),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl0_6
| ~ spl0_12 ),
inference(resolution,[],[f250,f249]) ).
fof(f250,plain,
( ! [X2,X1] :
( ~ iLEQ(suc(X1),suc(suc(z)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ iLEQ(suc(X2),suc(X1)) )
| ~ spl0_6
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f246,f78]) ).
fof(f246,plain,
( ! [X2,X1] :
( ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X2),suc(X1))
| ~ iLEQ(suc(X1),suc(suc(z)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(z)))
| ~ 'E'(s('0'),f(suc(X2))) )
| ~ spl0_12 ),
inference(resolution,[],[f126,f14]) ).
fof(f14,axiom,
! [X2,X16,X15] :
( ~ 'E'(s('0'),f(suc(X16)))
| ~ 'E'(s('0'),f(suc(X15)))
| ~ 'E'(s('0'),f(X16))
| ~ 'E'(s('0'),f(X2))
| ~ iLEQ(suc(X2),suc(X15))
| ~ 'E'(s('0'),f(X15))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ iLEQ(suc(X15),suc(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f244,plain,
( spl0_21
| spl0_8
| spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f154,f235,f124,f87,f241]) ).
fof(f154,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(suc(z)))))) ),
inference(resolution,[],[f72,f9]) ).
fof(f72,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s(s('0')),f(suc(suc(suc(X1)))))
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(suc(X1))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(suc(X1)))))) ),
inference(resolution,[],[f32,f4]) ).
fof(f239,plain,
( spl0_13
| spl0_8
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f152,f124,f120,f87,f144]) ).
fof(f152,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z))))) ),
inference(resolution,[],[f62,f9]) ).
fof(f62,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'('0',f(suc(X1)))
| 'E'(s('0'),f(suc(suc(X1))))
| 'E'(s(s('0')),f(suc(suc(X1)))) ),
inference(resolution,[],[f30,f4]) ).
fof(f238,plain,
( spl0_12
| spl0_8
| spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f153,f235,f144,f87,f124]) ).
fof(f153,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'(s(s(s('0'))),f(suc(suc(suc(z)))))
| 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f70,f9]) ).
fof(f70,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s(s(s('0'))),f(suc(suc(suc(X1)))))
| 'E'(s('0'),f(suc(suc(X1))))
| 'E'('0',f(suc(X1)))
| 'E'(s(s('0')),f(suc(suc(suc(X1))))) ),
inference(resolution,[],[f25,f4]) ).
fof(f232,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f231,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f228,f47]) ).
fof(f228,plain,
( ~ 'E'('0',f(z))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f184,f89]) ).
fof(f184,plain,
( ~ 'E'('0',f(z))
| ~ 'E'('0',f(suc(z)))
| ~ spl0_9
| ~ spl0_17 ),
inference(resolution,[],[f181,f101]) ).
fof(f101,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ 'E'('0',f(X0))
| ~ 'E'('0',f(suc(X0))) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f230,plain,
( spl0_1
| spl0_10
| spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f229,f53,f80,f105,f45]) ).
fof(f53,plain,
( spl0_3
<=> 'E'(s('0'),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f229,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'('0',f(z))
| spl0_3 ),
inference(subsumption_resolution,[],[f84,f54]) ).
fof(f54,plain,
( ~ 'E'(s('0'),f(z))
| spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f84,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(z)) ),
inference(resolution,[],[f41,f9]) ).
fof(f41,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s('0'),f(X0))
| 'E'('0',f(X0))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(suc(X0)))) ),
inference(resolution,[],[f31,f17]) ).
fof(f227,plain,
( spl0_7
| spl0_1
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f224,f53,f65,f45,f80]) ).
fof(f65,plain,
( spl0_5
<=> 'E'(s(s(s('0'))),f(suc(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f224,plain,
( 'E'(s(s(s('0'))),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s(s('0')),f(suc(z)))
| spl0_3 ),
inference(subsumption_resolution,[],[f73,f54]) ).
fof(f73,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s('0'),f(z)) ),
inference(resolution,[],[f37,f9]) ).
fof(f37,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f24,f17]) ).
fof(f223,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f222,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f221,f181]) ).
fof(f221,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f220,f59]) ).
fof(f220,plain,
( ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s('0')),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f218,f82]) ).
fof(f218,plain,
( ! [X0] :
( ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f217,f59]) ).
fof(f217,plain,
( ! [X0] :
( ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s('0')),f(z))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) )
| ~ spl0_7
| ~ spl0_14 ),
inference(resolution,[],[f161,f82]) ).
fof(f161,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s(s('0')),f(X1)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl0_14
<=> ! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(z))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f213,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f212,plain,
( $false
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f211,f67]) ).
fof(f67,plain,
( 'E'(s(s(s('0'))),f(suc(z)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f211,plain,
( ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f210,f192]) ).
fof(f192,plain,
( iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f190,f67]) ).
fof(f190,plain,
( ~ 'E'(s(s(s('0'))),f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_10 ),
inference(resolution,[],[f107,f16]) ).
fof(f210,plain,
( ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ spl0_5
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
( ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ iLEQ(suc(suc(z)),suc(suc(z)))
| ~ spl0_5
| ~ spl0_10 ),
inference(resolution,[],[f207,f107]) ).
fof(f207,plain,
( ! [X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X1),suc(suc(z))) )
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f206,f67]) ).
fof(f206,plain,
( ! [X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(suc(z)),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X1),suc(suc(z))) )
| ~ spl0_5
| ~ spl0_10 ),
inference(resolution,[],[f191,f107]) ).
fof(f191,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_5
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f189,f67]) ).
fof(f189,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(suc(z)),suc(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(suc(z)))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0)) )
| ~ spl0_10 ),
inference(resolution,[],[f107,f7]) ).
fof(f188,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f137,f181]) ).
fof(f137,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f136,f55]) ).
fof(f55,plain,
( 'E'(s('0'),f(z))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f136,plain,
( ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
( ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f116,f78]) ).
fof(f116,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f115,f55]) ).
fof(f115,plain,
( ! [X0] :
( ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s('0'),f(X0)) )
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f112,f78]) ).
fof(f112,plain,
( ! [X0,X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f110,f55]) ).
fof(f110,plain,
( ! [X0,X1] :
( ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X0))
| ~ iLEQ(suc(X1),suc(X0))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(z))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_6 ),
inference(resolution,[],[f78,f14]) ).
fof(f183,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f156,f76,f53,f179]) ).
fof(f156,plain,
( ~ 'E'(s('0'),f(z))
| iLEQ(suc(z),suc(z))
| ~ spl0_6 ),
inference(resolution,[],[f78,f3]) ).
fof(f182,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f92,f65,f49,f179]) ).
fof(f49,plain,
( spl0_2
<=> 'E'(s(s(s('0'))),f(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f92,plain,
( ~ 'E'(s(s(s('0'))),f(z))
| iLEQ(suc(z),suc(z))
| ~ spl0_5 ),
inference(resolution,[],[f67,f16]) ).
fof(f169,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f168,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f167,f51]) ).
fof(f51,plain,
( 'E'(s(s(s('0'))),f(z))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f167,plain,
( ~ 'E'(s(s(s('0'))),f(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f166,f94]) ).
fof(f94,plain,
( iLEQ(suc(z),suc(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f92,f51]) ).
fof(f166,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f165]) ).
fof(f165,plain,
( ~ iLEQ(suc(z),suc(z))
| ~ iLEQ(suc(z),suc(z))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f164,f67]) ).
fof(f164,plain,
( ! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(z),suc(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f163,f51]) ).
fof(f163,plain,
( ! [X0] :
( ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ iLEQ(suc(X0),suc(z)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f93,f67]) ).
fof(f93,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(z),suc(X0)) )
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f91,f51]) ).
fof(f91,plain,
( ! [X0,X1] :
( ~ 'E'(s(s(s('0'))),f(suc(X1)))
| ~ iLEQ(suc(z),suc(X0))
| ~ 'E'(s(s(s('0'))),f(z))
| ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'E'(s(s(s('0'))),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1)) )
| ~ spl0_5 ),
inference(resolution,[],[f67,f7]) ).
fof(f162,plain,
( ~ spl0_4
| spl0_14
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f157,f80,f160,f57]) ).
fof(f157,plain,
( ! [X0,X1] :
( ~ 'E'(s(s('0')),f(suc(X1)))
| ~ 'E'(s(s('0')),f(suc(X0)))
| ~ 'E'(s(s('0')),f(X0))
| ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(suc(X1),suc(X0))
| ~ iLEQ(suc(X0),suc(z))
| ~ 'E'(s(s('0')),f(z)) )
| ~ spl0_7 ),
inference(resolution,[],[f82,f6]) ).
fof(f128,plain,
( spl0_12
| spl0_10
| spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f117,f120,f87,f105,f124]) ).
fof(f117,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(suc(suc(z)))) ),
inference(resolution,[],[f40,f9]) ).
fof(f40,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'('0',f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'(s('0'),f(suc(suc(X1))))
| 'E'(s(s('0')),f(suc(suc(X1)))) ),
inference(resolution,[],[f23,f4]) ).
fof(f23,plain,
! [X1] :
( 'LE'(f(X1),s('0'))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(X1)))
| 'E'(s('0'),f(suc(X1))) ),
inference(resolution,[],[f20,f18]) ).
fof(f20,plain,
! [X0] :
( 'LE'(f(X0),s(s('0')))
| 'E'(s(s(s('0'))),f(X0))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f19,f13]) ).
fof(f108,plain,
( spl0_7
| spl0_8
| spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f103,f105,f76,f87,f80]) ).
fof(f103,plain,
( 'E'(s(s(s('0'))),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| 'E'(s(s('0')),f(suc(z))) ),
inference(resolution,[],[f36,f9]) ).
fof(f36,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(suc(X1))))
| 'E'('0',f(suc(X1))) ),
inference(resolution,[],[f29,f4]) ).
fof(f29,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s('0'),f(X0))
| 'E'(s(s('0')),f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f27,f8]) ).
fof(f90,plain,
( spl0_7
| spl0_5
| spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f85,f87,f76,f65,f80]) ).
fof(f85,plain,
( 'E'('0',f(suc(z)))
| 'E'(s('0'),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(z)))
| 'E'(s(s('0')),f(suc(z))) ),
inference(resolution,[],[f34,f9]) ).
fof(f34,plain,
! [X1] :
( 'LE'(f(X1),'0')
| 'E'(s('0'),f(suc(X1)))
| 'E'(s(s('0')),f(suc(X1)))
| 'E'('0',f(suc(X1)))
| 'E'(s(s(s('0'))),f(suc(X1))) ),
inference(resolution,[],[f22,f4]) ).
fof(f22,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| 'E'(s(s('0')),f(X0))
| 'E'(s('0'),f(X0))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f20,f8]) ).
fof(f83,plain,
( spl0_6
| spl0_1
| spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f74,f80,f65,f45,f76]) ).
fof(f74,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s(s(s('0'))),f(suc(z)))
| 'E'('0',f(z))
| 'E'(s('0'),f(suc(z))) ),
inference(resolution,[],[f39,f9]) ).
fof(f39,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s('0')),f(suc(X0)))
| 'E'(s(s(s('0'))),f(suc(X0)))
| 'E'(s('0'),f(suc(X0)))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f23,f17]) ).
fof(f68,plain,
( spl0_1
| spl0_4
| spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f63,f53,f65,f57,f45]) ).
fof(f63,plain,
( 'E'(s('0'),f(z))
| 'E'(s(s(s('0'))),f(suc(z)))
| 'E'(s(s('0')),f(z))
| 'E'('0',f(z)) ),
inference(resolution,[],[f35,f9]) ).
fof(f35,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'('0',f(X0))
| 'E'(s(s('0')),f(X0))
| 'E'(s('0'),f(X0))
| 'E'(s(s(s('0'))),f(suc(X0))) ),
inference(resolution,[],[f29,f17]) ).
fof(f60,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f43,f57,f53,f49,f45]) ).
fof(f43,plain,
( 'E'(s(s('0')),f(z))
| 'E'(s('0'),f(z))
| 'E'(s(s(s('0'))),f(z))
| 'E'('0',f(z)) ),
inference(resolution,[],[f33,f9]) ).
fof(f33,plain,
! [X0] :
( 'LE'(f(X0),'0')
| 'E'(s(s(s('0'))),f(X0))
| 'E'('0',f(X0))
| 'E'(s(s('0')),f(X0))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f22,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO680-1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 23:03:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.35 ipcrm: permission denied for id (667058180)
% 0.20/0.36 ipcrm: permission denied for id (667254791)
% 0.20/0.36 ipcrm: permission denied for id (667353100)
% 0.20/0.37 ipcrm: permission denied for id (667385873)
% 0.20/0.38 ipcrm: permission denied for id (667451420)
% 0.20/0.38 ipcrm: permission denied for id (667484189)
% 0.20/0.39 ipcrm: permission denied for id (667549727)
% 0.20/0.39 ipcrm: permission denied for id (667615266)
% 0.20/0.39 ipcrm: permission denied for id (667648035)
% 0.20/0.39 ipcrm: permission denied for id (667680804)
% 0.20/0.40 ipcrm: permission denied for id (667713580)
% 0.20/0.41 ipcrm: permission denied for id (667746350)
% 0.20/0.41 ipcrm: permission denied for id (667779121)
% 0.20/0.42 ipcrm: permission denied for id (667844661)
% 0.20/0.45 ipcrm: permission denied for id (668008520)
% 0.20/0.45 ipcrm: permission denied for id (668041295)
% 0.20/0.46 ipcrm: permission denied for id (668106835)
% 0.20/0.46 ipcrm: permission denied for id (668172374)
% 0.20/0.47 ipcrm: permission denied for id (668205144)
% 0.20/0.47 ipcrm: permission denied for id (668303456)
% 0.20/0.48 ipcrm: permission denied for id (668336225)
% 0.20/0.48 ipcrm: permission denied for id (668368994)
% 0.20/0.48 ipcrm: permission denied for id (668434534)
% 0.20/0.48 ipcrm: permission denied for id (668467303)
% 0.20/0.48 ipcrm: permission denied for id (668500072)
% 0.20/0.48 ipcrm: permission denied for id (668532841)
% 0.20/0.48 ipcrm: permission denied for id (668565611)
% 0.20/0.49 ipcrm: permission denied for id (668598380)
% 0.20/0.49 ipcrm: permission denied for id (668631150)
% 0.20/0.49 ipcrm: permission denied for id (668663922)
% 0.20/0.49 ipcrm: permission denied for id (668696691)
% 0.20/0.50 ipcrm: permission denied for id (668762239)
% 1.28/0.68 % (7513)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.28/0.68 % (7534)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.28/0.68 % (7529)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/37Mi)
% 1.28/0.69 % (7530)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.28/0.69 % (7513)Refutation not found, incomplete strategy% (7513)------------------------------
% 1.28/0.69 % (7513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.69 % (7513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.69 % (7513)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.69
% 1.28/0.69 % (7513)Memory used [KB]: 5884
% 1.28/0.69 % (7513)Time elapsed: 0.005 s
% 1.28/0.69 % (7513)Instructions burned: 3 (million)
% 1.28/0.69 % (7513)------------------------------
% 1.28/0.69 % (7513)------------------------------
% 1.28/0.69 % (7527)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/67Mi)
% 1.28/0.69 % (7531)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/81Mi)
% 1.28/0.69 % (7520)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/29Mi)
% 1.28/0.69 % (7523)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.28/0.69 % (7518)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 1.28/0.69 % (7512)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.28/0.70 % (7518)Instruction limit reached!
% 1.28/0.70 % (7518)------------------------------
% 1.28/0.70 % (7518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7518)Termination reason: Unknown
% 1.28/0.70 % (7518)Termination phase: Saturation
% 1.28/0.70
% 1.28/0.70 % (7518)Memory used [KB]: 5884
% 1.28/0.70 % (7518)Time elapsed: 0.123 s
% 1.28/0.70 % (7518)Instructions burned: 5 (million)
% 1.28/0.70 % (7518)------------------------------
% 1.28/0.70 % (7518)------------------------------
% 1.28/0.70 % (7527)Refutation not found, incomplete strategy% (7527)------------------------------
% 1.28/0.70 % (7527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7515)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.28/0.70 % (7534)Refutation not found, incomplete strategy% (7534)------------------------------
% 1.28/0.70 % (7534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7515)Refutation not found, incomplete strategy% (7515)------------------------------
% 1.28/0.70 % (7515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7515)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.70
% 1.28/0.70 % (7515)Memory used [KB]: 5756
% 1.28/0.70 % (7515)Time elapsed: 0.002 s
% 1.28/0.70 % (7515)Instructions burned: 2 (million)
% 1.28/0.70 % (7515)------------------------------
% 1.28/0.70 % (7515)------------------------------
% 1.28/0.70 % (7527)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.70
% 1.28/0.70 % (7527)Memory used [KB]: 5756
% 1.28/0.70 % (7527)Time elapsed: 0.004 s
% 1.28/0.70 % (7527)Instructions burned: 2 (million)
% 1.28/0.70 % (7527)------------------------------
% 1.28/0.70 % (7527)------------------------------
% 1.28/0.70 % (7534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7534)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.70
% 1.28/0.70 % (7534)Memory used [KB]: 5756
% 1.28/0.70 % (7534)Time elapsed: 0.004 s
% 1.28/0.70 % (7534)Instructions burned: 1 (million)
% 1.28/0.70 % (7534)------------------------------
% 1.28/0.70 % (7534)------------------------------
% 1.28/0.70 % (7531)Refutation not found, incomplete strategy% (7531)------------------------------
% 1.28/0.70 % (7531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7531)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.70
% 1.28/0.70 % (7531)Memory used [KB]: 5756
% 1.28/0.70 % (7531)Time elapsed: 0.005 s
% 1.28/0.70 % (7531)Instructions burned: 1 (million)
% 1.28/0.70 % (7531)------------------------------
% 1.28/0.70 % (7531)------------------------------
% 1.28/0.70 % (7521)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.28/0.70 % (7529)Refutation not found, incomplete strategy% (7529)------------------------------
% 1.28/0.70 % (7529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7529)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.70
% 1.28/0.70 % (7529)Memory used [KB]: 5756
% 1.28/0.70 % (7529)Time elapsed: 0.003 s
% 1.28/0.70 % (7529)Instructions burned: 1 (million)
% 1.28/0.70 % (7529)------------------------------
% 1.28/0.70 % (7529)------------------------------
% 1.28/0.70 % (7523)Instruction limit reached!
% 1.28/0.70 % (7523)------------------------------
% 1.28/0.70 % (7523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7523)Termination reason: Unknown
% 1.28/0.70 % (7523)Termination phase: Saturation
% 1.28/0.70
% 1.28/0.70 % (7523)Memory used [KB]: 5884
% 1.28/0.70 % (7523)Time elapsed: 0.080 s
% 1.28/0.70 % (7523)Instructions burned: 8 (million)
% 1.28/0.70 % (7523)------------------------------
% 1.28/0.70 % (7523)------------------------------
% 1.28/0.70 % (7521)Instruction limit reached!
% 1.28/0.70 % (7521)------------------------------
% 1.28/0.70 % (7521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.70 % (7521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.70 % (7521)Termination reason: Unknown
% 1.28/0.70 % (7521)Termination phase: Finite model building preprocessing
% 1.28/0.70
% 1.28/0.70 % (7521)Memory used [KB]: 1407
% 1.28/0.70 % (7521)Time elapsed: 0.007 s
% 1.28/0.70 % (7521)Instructions burned: 6 (million)
% 1.28/0.70 % (7521)------------------------------
% 1.28/0.70 % (7521)------------------------------
% 1.28/0.72 % (7511)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 1.28/0.73 % (7510)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/34Mi)
% 1.28/0.74 % (7520)Instruction limit reached!
% 1.28/0.74 % (7520)------------------------------
% 1.28/0.74 % (7520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.74 % (7520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.74 % (7520)Termination reason: Unknown
% 1.28/0.74 % (7520)Termination phase: Saturation
% 1.28/0.74
% 1.28/0.74 % (7520)Memory used [KB]: 1535
% 1.28/0.74 % (7520)Time elapsed: 0.146 s
% 1.28/0.74 % (7520)Instructions burned: 29 (million)
% 1.28/0.74 % (7520)------------------------------
% 1.28/0.74 % (7520)------------------------------
% 1.28/0.74 % (7517)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/23Mi)
% 1.28/0.74 % (7530)First to succeed.
% 1.28/0.74 % (7535)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.28/0.74 % (7535)Refutation not found, incomplete strategy% (7535)------------------------------
% 1.28/0.74 % (7535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.74 % (7535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.74 % (7535)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.74
% 1.28/0.74 % (7535)Memory used [KB]: 5756
% 1.28/0.74 % (7535)Time elapsed: 0.002 s
% 1.28/0.74 % (7535)------------------------------
% 1.28/0.74 % (7535)------------------------------
% 2.02/0.75 % (7533)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/73Mi)
% 2.02/0.75 % (7533)Refutation not found, incomplete strategy% (7533)------------------------------
% 2.02/0.75 % (7533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.75 % (7533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.75 % (7533)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.75
% 2.02/0.75 % (7533)Memory used [KB]: 1279
% 2.02/0.75 % (7533)Time elapsed: 0.002 s
% 2.02/0.75 % (7533)Instructions burned: 1 (million)
% 2.02/0.75 % (7533)------------------------------
% 2.02/0.75 % (7533)------------------------------
% 2.02/0.75 % (7510)Refutation not found, incomplete strategy% (7510)------------------------------
% 2.02/0.75 % (7510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.75 % (7510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.75 % (7510)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.75
% 2.02/0.75 % (7510)Memory used [KB]: 5756
% 2.02/0.75 % (7510)Time elapsed: 0.003 s
% 2.02/0.75 % (7510)------------------------------
% 2.02/0.75 % (7510)------------------------------
% 2.02/0.75 % (7528)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/97Mi)
% 2.02/0.75 % (7528)Refutation not found, incomplete strategy% (7528)------------------------------
% 2.02/0.75 % (7528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.75 % (7528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.75 % (7528)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.75
% 2.02/0.75 % (7528)Memory used [KB]: 5756
% 2.02/0.75 % (7528)Time elapsed: 0.003 s
% 2.02/0.75 % (7528)Instructions burned: 2 (million)
% 2.02/0.75 % (7528)------------------------------
% 2.02/0.75 % (7528)------------------------------
% 2.02/0.76 % (7526)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 2.02/0.76 % (7519)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 2.02/0.76 % (7519)Instruction limit reached!
% 2.02/0.76 % (7519)------------------------------
% 2.02/0.76 % (7519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.76 % (7519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.76 % (7519)Termination reason: Unknown
% 2.02/0.76 % (7519)Termination phase: Saturation
% 2.02/0.76
% 2.02/0.76 % (7519)Memory used [KB]: 5884
% 2.02/0.76 % (7519)Time elapsed: 0.003 s
% 2.02/0.76 % (7519)Instructions burned: 3 (million)
% 2.02/0.76 % (7519)------------------------------
% 2.02/0.76 % (7519)------------------------------
% 2.02/0.76 % (7512)Instruction limit reached!
% 2.02/0.76 % (7512)------------------------------
% 2.02/0.76 % (7512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.76 % (7512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.76 % (7512)Termination reason: Unknown
% 2.02/0.76 % (7512)Termination phase: Saturation
% 2.02/0.76
% 2.02/0.76 % (7512)Memory used [KB]: 1535
% 2.02/0.76 % (7512)Time elapsed: 0.175 s
% 2.02/0.76 % (7512)Instructions burned: 49 (million)
% 2.02/0.76 % (7512)------------------------------
% 2.02/0.76 % (7512)------------------------------
% 2.02/0.77 % (7530)Refutation found. Thanks to Tanya!
% 2.02/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.02/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.77 % (7530)------------------------------
% 2.02/0.77 % (7530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.77 % (7530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.77 % (7530)Termination reason: Refutation
% 2.02/0.77
% 2.02/0.77 % (7530)Memory used [KB]: 6140
% 2.02/0.77 % (7530)Time elapsed: 0.177 s
% 2.02/0.77 % (7530)Instructions burned: 23 (million)
% 2.02/0.77 % (7530)------------------------------
% 2.02/0.77 % (7530)------------------------------
% 2.02/0.77 % (7339)Success in time 0.413 s
%------------------------------------------------------------------------------