TSTP Solution File: SWC117-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC117-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n012.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 : Thu Aug 31 20:56:42 EDT 2023
% Result : Unsatisfiable 16.88s 2.83s
% Output : Refutation 16.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 50
% Syntax : Number of formulae : 227 ( 21 unt; 0 def)
% Number of atoms : 867 ( 148 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1159 ( 519 ~; 627 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 14 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 151 (; 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67481,plain,
$false,
inference(avatar_sat_refutation,[],[f239,f247,f286,f8483,f8498,f8505,f8769,f8788,f10055,f15029,f15139,f15201,f42818,f67466]) ).
fof(f67466,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f67465]) ).
fof(f67465,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f50287,f66642]) ).
fof(f66642,plain,
( ! [X0] : ~ segmentP(sk4,cons(X0,nil))
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f66641,f66230]) ).
fof(f66230,plain,
( ! [X70] : nil != cons(X70,nil)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f66229,f47]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause47) ).
fof(f66229,plain,
( ! [X70] :
( nil != cons(X70,nil)
| ~ ssItem(skaf44(cons(X70,nil))) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f66043,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause8) ).
fof(f66043,plain,
( ! [X70] :
( nil != cons(X70,nil)
| ~ ssList(nil)
| ~ ssItem(skaf44(cons(X70,nil))) )
| ~ spl0_3 ),
inference(superposition,[],[f98,f42896]) ).
fof(f42896,plain,
( ! [X29] : cons(X29,nil) = cons(skaf44(cons(X29,nil)),nil)
| ~ spl0_3 ),
inference(resolution,[],[f243,f9178]) ).
fof(f9178,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(subsumption_resolution,[],[f9177,f8]) ).
fof(f9177,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f9176]) ).
fof(f9176,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil)
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(resolution,[],[f311,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause86) ).
fof(f311,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) ),
inference(resolution,[],[f206,f101]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause101) ).
fof(f206,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause116) ).
fof(f243,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause98) ).
fof(f66641,plain,
( ! [X0] :
( ~ segmentP(sk4,cons(X0,nil))
| nil = cons(X0,nil) )
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f66640,f66163]) ).
fof(f66163,plain,
( ! [X67] : ssList(cons(X67,nil))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f66162,f47]) ).
fof(f66162,plain,
( ! [X67] :
( ssList(cons(X67,nil))
| ~ ssItem(skaf44(cons(X67,nil))) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f66040,f8]) ).
fof(f66040,plain,
( ! [X67] :
( ssList(cons(X67,nil))
| ~ ssList(nil)
| ~ ssItem(skaf44(cons(X67,nil))) )
| ~ spl0_3 ),
inference(superposition,[],[f86,f42896]) ).
fof(f66640,plain,
( ! [X0] :
( ~ ssList(cons(X0,nil))
| ~ segmentP(sk4,cons(X0,nil))
| nil = cons(X0,nil) )
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f66135,f298]) ).
fof(f298,plain,
( ! [X0] :
( ~ equalelemsP(X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| nil = X0 )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f297,f8]) ).
fof(f297,plain,
( ! [X0] :
( ~ equalelemsP(X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
( ! [X0] :
( ~ equalelemsP(X0)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_1 ),
inference(resolution,[],[f293,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause100) ).
fof(f293,plain,
( ! [X6] :
( ~ neq(nil,X6)
| ~ equalelemsP(X6)
| ~ ssList(X6)
| ~ segmentP(sk4,X6) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f292,f56]) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause56) ).
fof(f292,plain,
( ! [X6] :
( ~ segmentP(X6,nil)
| ~ neq(nil,X6)
| ~ equalelemsP(X6)
| ~ ssList(X6)
| ~ segmentP(sk4,X6) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f289,f233]) ).
fof(f233,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_1
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f289,plain,
( ! [X6] :
( ~ neq(nil,X6)
| ~ equalelemsP(X6)
| ~ ssList(X6)
| ~ segmentP(X6,sk3)
| ~ segmentP(sk4,X6) )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f194,f233]) ).
fof(f194,axiom,
! [X6] :
( ~ equalelemsP(X6)
| ~ ssList(X6)
| ~ neq(sk3,X6)
| ~ segmentP(X6,sk3)
| ~ segmentP(sk4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_9) ).
fof(f66135,plain,
( ! [X0] : equalelemsP(cons(X0,nil))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f66003,f47]) ).
fof(f66003,plain,
( ! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(skaf44(cons(X0,nil))) )
| ~ spl0_3 ),
inference(superposition,[],[f64,f42896]) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause64) ).
fof(f50287,plain,
( segmentP(sk4,cons(skaf83(sk4),nil))
| spl0_2
| ~ spl0_3
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f50284,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause13) ).
fof(f50284,plain,
( segmentP(sk4,cons(skaf83(sk4),nil))
| ~ ssList(skaf82(sk4))
| spl0_2
| ~ spl0_3
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(superposition,[],[f48762,f13949]) ).
fof(f13949,plain,
( sk4 = cons(skaf83(sk4),skaf82(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(backward_demodulation,[],[f12305,f13907]) ).
fof(f13907,plain,
( tl(sk4) = skaf82(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f13906,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause12) ).
fof(f13906,plain,
( tl(sk4) = skaf82(sk4)
| ~ ssItem(skaf83(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f13875,f10069]) ).
fof(f10069,plain,
( ssList(tl(sk4))
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f10067,f189]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_4) ).
fof(f10067,plain,
( ssList(tl(sk4))
| ~ ssList(sk4)
| ~ spl0_79 ),
inference(superposition,[],[f9966,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause74) ).
fof(f9966,plain,
( ssList(tl(app(nil,sk4)))
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f9965]) ).
fof(f9965,plain,
( spl0_79
<=> ssList(tl(app(nil,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f13875,plain,
( tl(sk4) = skaf82(sk4)
| ~ ssList(tl(sk4))
| ~ ssItem(skaf83(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f7905,f12305]) ).
fof(f7905,plain,
! [X3,X4] :
( skaf82(cons(X3,X4)) = X4
| ~ ssList(X4)
| ~ ssItem(X3) ),
inference(subsumption_resolution,[],[f7904,f86]) ).
fof(f7904,plain,
! [X3,X4] :
( skaf82(cons(X3,X4)) = X4
| ~ ssList(X4)
| ~ ssItem(X3)
| ~ ssList(cons(X3,X4)) ),
inference(subsumption_resolution,[],[f362,f98]) ).
fof(f362,plain,
! [X3,X4] :
( skaf82(cons(X3,X4)) = X4
| ~ ssList(X4)
| ~ ssItem(X3)
| nil = cons(X3,X4)
| ~ ssList(cons(X3,X4)) ),
inference(superposition,[],[f96,f340]) ).
fof(f340,plain,
! [X1] :
( tl(X1) = skaf82(X1)
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f339,f12]) ).
fof(f339,plain,
! [X1] :
( tl(X1) = skaf82(X1)
| ~ ssItem(skaf83(X1))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f332,f13]) ).
fof(f332,plain,
! [X1] :
( tl(X1) = skaf82(X1)
| ~ ssList(skaf82(X1))
| ~ ssItem(skaf83(X1))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f96,f109]) ).
fof(f109,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause109) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause96) ).
fof(f12305,plain,
( sk4 = cons(skaf83(sk4),tl(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f12274,f189]) ).
fof(f12274,plain,
( sk4 = cons(skaf83(sk4),tl(sk4))
| ~ ssList(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f9680,f74]) ).
fof(f9680,plain,
( app(nil,sk4) = cons(skaf83(sk4),tl(app(nil,sk4)))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(backward_demodulation,[],[f9559,f9661]) ).
fof(f9661,plain,
( hd(sk4) = skaf83(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9653,f189]) ).
fof(f9653,plain,
( hd(sk4) = skaf83(sk4)
| ~ ssList(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f9552,f74]) ).
fof(f9552,plain,
( hd(sk4) = skaf83(app(nil,sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9551,f8477]) ).
fof(f8477,plain,
( ssList(app(nil,sk4))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f8476]) ).
fof(f8476,plain,
( spl0_22
<=> ssList(app(nil,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f9551,plain,
( hd(sk4) = skaf83(app(nil,sk4))
| ~ ssList(app(nil,sk4))
| spl0_2
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9541,f8488]) ).
fof(f8488,plain,
( nil != app(nil,sk4)
| spl0_24 ),
inference(avatar_component_clause,[],[f8487]) ).
fof(f8487,plain,
( spl0_24
<=> nil = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f9541,plain,
( hd(sk4) = skaf83(app(nil,sk4))
| nil = app(nil,sk4)
| ~ ssList(app(nil,sk4))
| spl0_2
| ~ spl0_26 ),
inference(superposition,[],[f9446,f338]) ).
fof(f338,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f337,f12]) ).
fof(f337,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| ~ ssItem(skaf83(X0))
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f331,f13]) ).
fof(f331,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| ~ ssList(skaf82(X0))
| ~ ssItem(skaf83(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f97,f109]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause97) ).
fof(f9446,plain,
( hd(sk4) = hd(app(nil,sk4))
| spl0_2
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9445,f238]) ).
fof(f238,plain,
( nil != sk4
| spl0_2 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl0_2
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f9445,plain,
( hd(sk4) = hd(app(nil,sk4))
| nil = sk4
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9444,f189]) ).
fof(f9444,plain,
( hd(sk4) = hd(app(nil,sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f9432]) ).
fof(f9432,plain,
( hd(sk4) = hd(app(nil,sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ ssList(sk4)
| ~ spl0_26 ),
inference(superposition,[],[f8504,f123]) ).
fof(f123,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause123) ).
fof(f8504,plain,
( hd(app(nil,sk4)) = hd(app(sk4,sk4))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f8502]) ).
fof(f8502,plain,
( spl0_26
<=> hd(app(nil,sk4)) = hd(app(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f9559,plain,
( app(nil,sk4) = cons(hd(sk4),tl(app(nil,sk4)))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9558,f8477]) ).
fof(f9558,plain,
( app(nil,sk4) = cons(hd(sk4),tl(app(nil,sk4)))
| ~ ssList(app(nil,sk4))
| spl0_2
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9544,f8488]) ).
fof(f9544,plain,
( app(nil,sk4) = cons(hd(sk4),tl(app(nil,sk4)))
| nil = app(nil,sk4)
| ~ ssList(app(nil,sk4))
| spl0_2
| ~ spl0_26 ),
inference(superposition,[],[f104,f9446]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause104) ).
fof(f48762,plain,
( ! [X0,X1] :
( segmentP(cons(X0,X1),cons(X0,nil))
| ~ ssList(X1) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f48761,f8]) ).
fof(f48761,plain,
( ! [X0,X1] :
( segmentP(cons(X0,X1),cons(X0,nil))
| ~ ssList(X1)
| ~ ssList(nil) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f48760,f243]) ).
fof(f48760,plain,
! [X0,X1] :
( segmentP(cons(X0,X1),cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f48757]) ).
fof(f48757,plain,
! [X0,X1] :
( segmentP(cons(X0,X1),cons(X0,nil))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(resolution,[],[f3742,f86]) ).
fof(f3742,plain,
! [X11,X12] :
( ~ ssList(cons(X11,nil))
| segmentP(cons(X11,X12),cons(X11,nil))
| ~ ssList(X12)
| ~ ssItem(X11) ),
inference(duplicate_literal_removal,[],[f3737]) ).
fof(f3737,plain,
! [X11,X12] :
( segmentP(cons(X11,X12),cons(X11,nil))
| ~ ssList(cons(X11,nil))
| ~ ssList(X12)
| ~ ssList(X12)
| ~ ssItem(X11) ),
inference(superposition,[],[f3703,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause120) ).
fof(f3703,plain,
! [X4,X5] :
( segmentP(app(X4,X5),X4)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(subsumption_resolution,[],[f3702,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause85) ).
fof(f3702,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4)
| segmentP(app(X4,X5),X4) ),
inference(subsumption_resolution,[],[f3696,f8]) ).
fof(f3696,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(nil)
| segmentP(app(X4,X5),X4) ),
inference(duplicate_literal_removal,[],[f3670]) ).
fof(f3670,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(nil)
| segmentP(app(X4,X5),X4)
| ~ ssList(X4) ),
inference(superposition,[],[f216,f74]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause173) ).
fof(f42818,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_22
| ~ spl0_23
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f42817]) ).
fof(f42817,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_22
| ~ spl0_23
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f42816,f50]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause50) ).
fof(f42816,plain,
( ~ ssList(skaf46(sk4,sk4))
| spl0_2
| ~ spl0_4
| ~ spl0_22
| ~ spl0_23
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_129 ),
inference(subsumption_resolution,[],[f42809,f8482]) ).
fof(f8482,plain,
( ssList(app(sk4,sk4))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f8480]) ).
fof(f8480,plain,
( spl0_23
<=> ssList(app(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f42809,plain,
( ~ ssList(app(sk4,sk4))
| ~ ssList(skaf46(sk4,sk4))
| spl0_2
| ~ spl0_4
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_129 ),
inference(superposition,[],[f35982,f28089]) ).
fof(f28089,plain,
( sk4 = app(skaf46(sk4,sk4),sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_129 ),
inference(forward_demodulation,[],[f28047,f15219]) ).
fof(f15219,plain,
( sk4 = app(nil,sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_129 ),
inference(forward_demodulation,[],[f15204,f13949]) ).
fof(f15204,plain,
( app(nil,sk4) = cons(skaf83(sk4),skaf82(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_129 ),
inference(backward_demodulation,[],[f9683,f15024]) ).
fof(f15024,plain,
( skaf82(app(nil,sk4)) = skaf82(sk4)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f15022]) ).
fof(f15022,plain,
( spl0_129
<=> skaf82(app(nil,sk4)) = skaf82(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f9683,plain,
( app(nil,sk4) = cons(skaf83(sk4),skaf82(app(nil,sk4)))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(backward_demodulation,[],[f9565,f9661]) ).
fof(f9565,plain,
( app(nil,sk4) = cons(hd(sk4),skaf82(app(nil,sk4)))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9564,f8477]) ).
fof(f9564,plain,
( app(nil,sk4) = cons(hd(sk4),skaf82(app(nil,sk4)))
| ~ ssList(app(nil,sk4))
| spl0_2
| spl0_24
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f9549,f8488]) ).
fof(f9549,plain,
( app(nil,sk4) = cons(hd(sk4),skaf82(app(nil,sk4)))
| nil = app(nil,sk4)
| ~ ssList(app(nil,sk4))
| spl0_2
| ~ spl0_26 ),
inference(superposition,[],[f364,f9446]) ).
fof(f364,plain,
! [X1] :
( cons(hd(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f360]) ).
fof(f360,plain,
! [X1] :
( cons(hd(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1)
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f104,f340]) ).
fof(f28047,plain,
app(nil,sk4) = app(skaf46(app(nil,sk4),sk4),sk4),
inference(resolution,[],[f6095,f8]) ).
fof(f6095,plain,
! [X86] :
( ~ ssList(X86)
| app(X86,sk4) = app(skaf46(app(X86,sk4),sk4),sk4) ),
inference(resolution,[],[f527,f189]) ).
fof(f527,plain,
! [X4,X5] :
( ~ ssList(X5)
| app(X4,X5) = app(skaf46(app(X4,X5),X5),X5)
| ~ ssList(X4) ),
inference(subsumption_resolution,[],[f519,f85]) ).
fof(f519,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| app(X4,X5) = app(skaf46(app(X4,X5),X5),X5)
| ~ ssList(X4) ),
inference(duplicate_literal_removal,[],[f516]) ).
fof(f516,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| app(X4,X5) = app(skaf46(app(X4,X5),X5),X5)
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(resolution,[],[f131,f248]) ).
fof(f248,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f211,f85]) ).
fof(f211,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause143) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause131) ).
fof(f35982,plain,
( ! [X4] :
( ~ ssList(app(app(X4,sk4),sk4))
| ~ ssList(X4) )
| spl0_2
| ~ spl0_4
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f22798,f246]) ).
fof(f246,plain,
( ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f22798,plain,
( ! [X4] :
( ~ ssList(app(app(X4,sk4),sk4))
| ~ duplicatefreeP(app(app(X4,sk4),sk4))
| ~ ssList(X4) )
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f22797,f189]) ).
fof(f22797,plain,
( ! [X4] :
( ~ ssList(app(app(X4,sk4),sk4))
| ~ duplicatefreeP(app(app(X4,sk4),sk4))
| ~ ssList(X4)
| ~ ssList(sk4) )
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f22796,f238]) ).
fof(f22796,plain,
( ! [X4] :
( ~ ssList(app(app(X4,sk4),sk4))
| ~ duplicatefreeP(app(app(X4,sk4),sk4))
| ~ ssList(X4)
| nil = sk4
| ~ ssList(sk4) )
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f21111,f13]) ).
fof(f21111,plain,
( ! [X4] :
( ~ ssList(app(app(X4,sk4),sk4))
| ~ duplicatefreeP(app(app(X4,sk4),sk4))
| ~ ssList(X4)
| ~ ssList(skaf82(sk4))
| nil = sk4
| ~ ssList(sk4) )
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(superposition,[],[f4605,f13949]) ).
fof(f4605,plain,
! [X8,X6,X7] :
( ~ ssList(app(app(X7,cons(skaf83(X6),X8)),X6))
| ~ duplicatefreeP(app(app(X7,cons(skaf83(X6),X8)),X6))
| ~ ssList(X7)
| ~ ssList(X8)
| nil = X6
| ~ ssList(X6) ),
inference(subsumption_resolution,[],[f4604,f13]) ).
fof(f4604,plain,
! [X8,X6,X7] :
( ~ ssList(app(app(X7,cons(skaf83(X6),X8)),X6))
| ~ duplicatefreeP(app(app(X7,cons(skaf83(X6),X8)),X6))
| ~ ssList(X7)
| ~ ssList(X8)
| ~ ssList(skaf82(X6))
| nil = X6
| ~ ssList(X6) ),
inference(subsumption_resolution,[],[f4589,f12]) ).
fof(f4589,plain,
! [X8,X6,X7] :
( ~ ssList(app(app(X7,cons(skaf83(X6),X8)),X6))
| ~ ssItem(skaf83(X6))
| ~ duplicatefreeP(app(app(X7,cons(skaf83(X6),X8)),X6))
| ~ ssList(X7)
| ~ ssList(X8)
| ~ ssList(skaf82(X6))
| nil = X6
| ~ ssList(X6) ),
inference(superposition,[],[f217,f109]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause179) ).
fof(f15201,plain,
( spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| spl0_117 ),
inference(avatar_contradiction_clause,[],[f15200]) ).
fof(f15200,plain,
( $false
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| spl0_117 ),
inference(subsumption_resolution,[],[f15192,f13]) ).
fof(f15192,plain,
( ~ ssList(skaf82(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| spl0_117 ),
inference(resolution,[],[f15149,f61]) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause61) ).
fof(f15149,plain,
( ~ frontsegP(skaf82(sk4),skaf82(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| spl0_117 ),
inference(subsumption_resolution,[],[f15144,f189]) ).
fof(f15144,plain,
( ~ frontsegP(skaf82(sk4),skaf82(sk4))
| ~ ssList(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| spl0_117 ),
inference(superposition,[],[f15128,f74]) ).
fof(f15128,plain,
( ~ frontsegP(skaf82(sk4),skaf82(app(nil,sk4)))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| spl0_117 ),
inference(forward_demodulation,[],[f12312,f12362]) ).
fof(f12362,plain,
( tl(app(nil,sk4)) = skaf82(app(nil,sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f12361,f12]) ).
fof(f12361,plain,
( tl(app(nil,sk4)) = skaf82(app(nil,sk4))
| ~ ssItem(skaf83(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f12300,f9966]) ).
fof(f12300,plain,
( tl(app(nil,sk4)) = skaf82(app(nil,sk4))
| ~ ssList(tl(app(nil,sk4)))
| ~ ssItem(skaf83(sk4))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f7905,f9680]) ).
fof(f12312,plain,
( ~ frontsegP(skaf82(sk4),tl(app(nil,sk4)))
| spl0_117 ),
inference(avatar_component_clause,[],[f12310]) ).
fof(f12310,plain,
( spl0_117
<=> frontsegP(skaf82(sk4),tl(app(nil,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f15139,plain,
spl0_130,
inference(avatar_contradiction_clause,[],[f15138]) ).
fof(f15138,plain,
( $false
| spl0_130 ),
inference(subsumption_resolution,[],[f15130,f13]) ).
fof(f15130,plain,
( ~ ssList(skaf82(sk4))
| spl0_130 ),
inference(resolution,[],[f15127,f61]) ).
fof(f15127,plain,
( ~ frontsegP(skaf82(sk4),skaf82(sk4))
| spl0_130 ),
inference(subsumption_resolution,[],[f15119,f189]) ).
fof(f15119,plain,
( ~ frontsegP(skaf82(sk4),skaf82(sk4))
| ~ ssList(sk4)
| spl0_130 ),
inference(superposition,[],[f15028,f74]) ).
fof(f15028,plain,
( ~ frontsegP(skaf82(app(nil,sk4)),skaf82(sk4))
| spl0_130 ),
inference(avatar_component_clause,[],[f15026]) ).
fof(f15026,plain,
( spl0_130
<=> frontsegP(skaf82(app(nil,sk4)),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f15029,plain,
( spl0_129
| ~ spl0_130
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f15020,f12310,f9965,f8502,f8487,f8476,f236,f15026,f15022]) ).
fof(f15020,plain,
( ~ frontsegP(skaf82(app(nil,sk4)),skaf82(sk4))
| skaf82(app(nil,sk4)) = skaf82(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_117 ),
inference(subsumption_resolution,[],[f15019,f13]) ).
fof(f15019,plain,
( ~ ssList(skaf82(sk4))
| ~ frontsegP(skaf82(app(nil,sk4)),skaf82(sk4))
| skaf82(app(nil,sk4)) = skaf82(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_117 ),
inference(subsumption_resolution,[],[f15008,f13]) ).
fof(f15008,plain,
( ~ ssList(skaf82(app(nil,sk4)))
| ~ ssList(skaf82(sk4))
| ~ frontsegP(skaf82(app(nil,sk4)),skaf82(sk4))
| skaf82(app(nil,sk4)) = skaf82(sk4)
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_117 ),
inference(resolution,[],[f13372,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause129) ).
fof(f13372,plain,
( frontsegP(skaf82(sk4),skaf82(app(nil,sk4)))
| spl0_2
| ~ spl0_22
| spl0_24
| ~ spl0_26
| ~ spl0_79
| ~ spl0_117 ),
inference(backward_demodulation,[],[f12311,f12362]) ).
fof(f12311,plain,
( frontsegP(skaf82(sk4),tl(app(nil,sk4)))
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f12310]) ).
fof(f10055,plain,
( ~ spl0_22
| spl0_24
| spl0_79 ),
inference(avatar_contradiction_clause,[],[f10054]) ).
fof(f10054,plain,
( $false
| ~ spl0_22
| spl0_24
| spl0_79 ),
inference(subsumption_resolution,[],[f10053,f8477]) ).
fof(f10053,plain,
( ~ ssList(app(nil,sk4))
| spl0_24
| spl0_79 ),
inference(subsumption_resolution,[],[f10052,f8488]) ).
fof(f10052,plain,
( nil = app(nil,sk4)
| ~ ssList(app(nil,sk4))
| spl0_79 ),
inference(subsumption_resolution,[],[f10039,f13]) ).
fof(f10039,plain,
( ~ ssList(skaf82(app(nil,sk4)))
| nil = app(nil,sk4)
| ~ ssList(app(nil,sk4))
| spl0_79 ),
inference(superposition,[],[f9967,f340]) ).
fof(f9967,plain,
( ~ ssList(tl(app(nil,sk4)))
| spl0_79 ),
inference(avatar_component_clause,[],[f9965]) ).
fof(f8788,plain,
( ~ spl0_24
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f8787]) ).
fof(f8787,plain,
( $false
| ~ spl0_24
| spl0_25 ),
inference(subsumption_resolution,[],[f8786,f8493]) ).
fof(f8493,plain,
( nil != app(sk4,sk4)
| spl0_25 ),
inference(avatar_component_clause,[],[f8491]) ).
fof(f8491,plain,
( spl0_25
<=> nil = app(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f8786,plain,
( nil = app(sk4,sk4)
| ~ spl0_24 ),
inference(forward_demodulation,[],[f8771,f8489]) ).
fof(f8489,plain,
( nil = app(nil,sk4)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f8487]) ).
fof(f8771,plain,
( app(sk4,sk4) = app(nil,sk4)
| ~ spl0_24 ),
inference(backward_demodulation,[],[f8459,f8489]) ).
fof(f8459,plain,
app(sk4,sk4) = app(app(nil,sk4),sk4),
inference(backward_demodulation,[],[f8340,f8458]) ).
fof(f8458,plain,
app(sk4,sk4) = app(nil,app(sk4,sk4)),
inference(subsumption_resolution,[],[f8405,f189]) ).
fof(f8405,plain,
( app(sk4,sk4) = app(nil,app(sk4,sk4))
| ~ ssList(sk4) ),
inference(superposition,[],[f8340,f74]) ).
fof(f8340,plain,
app(app(nil,sk4),sk4) = app(nil,app(sk4,sk4)),
inference(resolution,[],[f5890,f189]) ).
fof(f5890,plain,
! [X0] :
( ~ ssList(X0)
| app(app(nil,X0),sk4) = app(nil,app(X0,sk4)) ),
inference(resolution,[],[f2213,f8]) ).
fof(f2213,plain,
! [X113,X114] :
( ~ ssList(X113)
| ~ ssList(X114)
| app(app(X113,X114),sk4) = app(X113,app(X114,sk4)) ),
inference(resolution,[],[f149,f189]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause149) ).
fof(f8769,plain,
spl0_22,
inference(avatar_contradiction_clause,[],[f8768]) ).
fof(f8768,plain,
( $false
| spl0_22 ),
inference(subsumption_resolution,[],[f8764,f189]) ).
fof(f8764,plain,
( ~ ssList(sk4)
| spl0_22 ),
inference(duplicate_literal_removal,[],[f8763]) ).
fof(f8763,plain,
( ~ ssList(sk4)
| ~ ssList(sk4)
| spl0_22 ),
inference(superposition,[],[f8478,f74]) ).
fof(f8478,plain,
( ~ ssList(app(nil,sk4))
| spl0_22 ),
inference(avatar_component_clause,[],[f8476]) ).
fof(f8505,plain,
( spl0_24
| ~ spl0_22
| spl0_26 ),
inference(avatar_split_clause,[],[f8500,f8502,f8476,f8487]) ).
fof(f8500,plain,
( hd(app(nil,sk4)) = hd(app(sk4,sk4))
| ~ ssList(app(nil,sk4))
| nil = app(nil,sk4) ),
inference(forward_demodulation,[],[f8499,f8458]) ).
fof(f8499,plain,
( hd(app(nil,sk4)) = hd(app(nil,app(sk4,sk4)))
| ~ ssList(app(nil,sk4))
| nil = app(nil,sk4) ),
inference(subsumption_resolution,[],[f8413,f189]) ).
fof(f8413,plain,
( hd(app(nil,sk4)) = hd(app(nil,app(sk4,sk4)))
| ~ ssList(app(nil,sk4))
| nil = app(nil,sk4)
| ~ ssList(sk4) ),
inference(superposition,[],[f123,f8340]) ).
fof(f8498,plain,
( ~ spl0_22
| ~ spl0_25
| spl0_2 ),
inference(avatar_split_clause,[],[f8497,f236,f8491,f8476]) ).
fof(f8497,plain,
( nil != app(sk4,sk4)
| ~ ssList(app(nil,sk4))
| spl0_2 ),
inference(forward_demodulation,[],[f8496,f8458]) ).
fof(f8496,plain,
( nil != app(nil,app(sk4,sk4))
| ~ ssList(app(nil,sk4))
| spl0_2 ),
inference(subsumption_resolution,[],[f8495,f189]) ).
fof(f8495,plain,
( nil != app(nil,app(sk4,sk4))
| ~ ssList(app(nil,sk4))
| ~ ssList(sk4)
| spl0_2 ),
inference(subsumption_resolution,[],[f8412,f238]) ).
fof(f8412,plain,
( nil != app(nil,app(sk4,sk4))
| ~ ssList(app(nil,sk4))
| nil = sk4
| ~ ssList(sk4) ),
inference(superposition,[],[f119,f8340]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause119) ).
fof(f8483,plain,
( ~ spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f8474,f8480,f8476]) ).
fof(f8474,plain,
( ssList(app(sk4,sk4))
| ~ ssList(app(nil,sk4)) ),
inference(forward_demodulation,[],[f8473,f8458]) ).
fof(f8473,plain,
( ssList(app(nil,app(sk4,sk4)))
| ~ ssList(app(nil,sk4)) ),
inference(subsumption_resolution,[],[f8410,f189]) ).
fof(f8410,plain,
( ssList(app(nil,app(sk4,sk4)))
| ~ ssList(app(nil,sk4))
| ~ ssList(sk4) ),
inference(superposition,[],[f85,f8340]) ).
fof(f286,plain,
spl0_1,
inference(avatar_split_clause,[],[f285,f232]) ).
fof(f285,plain,
nil = sk3,
inference(subsumption_resolution,[],[f281,f198]) ).
fof(f198,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_1) ).
fof(f281,plain,
( nil = sk3
| ~ ssList(sk3) ),
inference(subsumption_resolution,[],[f276,f8]) ).
fof(f276,plain,
( ~ ssList(nil)
| nil = sk3
| ~ ssList(sk3) ),
inference(resolution,[],[f100,f240]) ).
fof(f240,plain,
~ neq(sk3,nil),
inference(subsumption_resolution,[],[f200,f192]) ).
fof(f192,axiom,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_7) ).
fof(f200,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f196,f191,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_5) ).
fof(f196,axiom,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_11) ).
fof(f247,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f245,f242]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',clause72) ).
fof(f239,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f199,f236,f232]) ).
fof(f199,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f195,f190,f191]) ).
fof(f195,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565',co1_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SWC117-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.38 % Computer : n012.cluster.edu
% 0.18/0.38 % Model : x86_64 x86_64
% 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38 % Memory : 8042.1875MB
% 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38 % CPULimit : 300
% 0.18/0.38 % WCLimit : 300
% 0.18/0.38 % DateTime : Mon Aug 28 17:00:09 EDT 2023
% 0.18/0.38 % CPUTime :
% 0.18/0.38 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.18/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.lrzul5kXtK/Vampire---4.8_3565
% 0.18/0.38 % (3712)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (3715)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.45 % (3714)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.24/0.45 % (3718)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.24/0.45 % (3717)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.46 % (3716)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.24/0.46 % (3719)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.24/0.47 % (3720)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.47 % (3720)Refutation not found, incomplete strategy% (3720)------------------------------
% 0.24/0.47 % (3720)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.47 % (3720)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.47 % (3720)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.47
% 0.24/0.47 % (3720)Memory used [KB]: 5756
% 0.24/0.47 % (3720)Time elapsed: 0.007 s
% 0.24/0.47 % (3720)------------------------------
% 0.24/0.47 % (3720)------------------------------
% 0.24/0.52 % (3721)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 16.88/2.83 % (3717)First to succeed.
% 16.88/2.83 % (3717)Refutation found. Thanks to Tanya!
% 16.88/2.83 % SZS status Unsatisfiable for Vampire---4
% 16.88/2.83 % SZS output start Proof for Vampire---4
% See solution above
% 16.88/2.84 % (3717)------------------------------
% 16.88/2.84 % (3717)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 16.88/2.84 % (3717)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 16.88/2.84 % (3717)Termination reason: Refutation
% 16.88/2.84
% 16.88/2.84 % (3717)Memory used [KB]: 57696
% 16.88/2.84 % (3717)Time elapsed: 2.377 s
% 16.88/2.84 % (3717)------------------------------
% 16.88/2.84 % (3717)------------------------------
% 16.88/2.84 % (3712)Success in time 2.432 s
% 16.88/2.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------