TSTP Solution File: SWC079-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC079-1 : 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 : n015.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 20:56:21 EDT 2023
% Result : Unsatisfiable 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 36
% Syntax : Number of formulae : 130 ( 17 unt; 0 def)
% Number of atoms : 402 ( 72 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 500 ( 228 ~; 264 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 64 (; 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3220,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f344,f358,f399,f406,f573,f3194,f3216,f3219]) ).
fof(f3219,plain,
spl2_77,
inference(avatar_contradiction_clause,[],[f3218]) ).
fof(f3218,plain,
( $false
| spl2_77 ),
inference(subsumption_resolution,[],[f3217,f198]) ).
fof(f198,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',co1_1) ).
fof(f3217,plain,
( ~ ssList(sk3)
| spl2_77 ),
inference(resolution,[],[f3193,f57]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause57) ).
fof(f3193,plain,
( ~ segmentP(sk3,sk3)
| spl2_77 ),
inference(avatar_component_clause,[],[f3191]) ).
fof(f3191,plain,
( spl2_77
<=> segmentP(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_77])]) ).
fof(f3216,plain,
( ~ spl2_1
| spl2_15
| spl2_76 ),
inference(avatar_contradiction_clause,[],[f3215]) ).
fof(f3215,plain,
( $false
| ~ spl2_1
| spl2_15
| spl2_76 ),
inference(subsumption_resolution,[],[f3214,f198]) ).
fof(f3214,plain,
( ~ ssList(sk3)
| ~ spl2_1
| spl2_15
| spl2_76 ),
inference(subsumption_resolution,[],[f3213,f435]) ).
fof(f435,plain,
( nil != sk3
| ~ spl2_1
| spl2_15 ),
inference(superposition,[],[f403,f249]) ).
fof(f249,plain,
( sk3 = sF1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl2_1
<=> sk3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f403,plain,
( nil != sF1
| spl2_15 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl2_15
<=> nil = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f3213,plain,
( nil = sk3
| ~ ssList(sk3)
| spl2_76 ),
inference(subsumption_resolution,[],[f3202,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause8) ).
fof(f3202,plain,
( ~ ssList(nil)
| nil = sk3
| ~ ssList(sk3)
| spl2_76 ),
inference(resolution,[],[f3189,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause100) ).
fof(f3189,plain,
( ~ neq(sk3,nil)
| spl2_76 ),
inference(avatar_component_clause,[],[f3187]) ).
fof(f3187,plain,
( spl2_76
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_76])]) ).
fof(f3194,plain,
( ~ spl2_76
| ~ spl2_77
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(avatar_split_clause,[],[f3185,f396,f259,f247,f3191,f3187]) ).
fof(f259,plain,
( spl2_4
<=> ssItem(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f396,plain,
( spl2_14
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f3185,plain,
( ~ segmentP(sk3,sk3)
| ~ neq(sk3,nil)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f3180,f198]) ).
fof(f3180,plain,
( ~ segmentP(sk3,sk3)
| ~ ssList(sk3)
| ~ neq(sk3,nil)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(resolution,[],[f3179,f244]) ).
fof(f244,plain,
! [X6] :
( ~ segmentP(sk4,X6)
| ~ segmentP(sk3,X6)
| ~ ssList(X6)
| ~ neq(X6,nil) ),
inference(subsumption_resolution,[],[f202,f243]) ).
fof(f243,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f201,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',co1_5) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',co1_7) ).
fof(f202,plain,
! [X6] :
( ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6)
| ~ neq(X6,nil) ),
inference(definition_unfolding,[],[f196,f191,f190]) ).
fof(f196,axiom,
! [X6] :
( ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6)
| ~ neq(X6,nil) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',co1_11) ).
fof(f3179,plain,
( segmentP(sk4,sk3)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f3178,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause13) ).
fof(f3178,plain,
( segmentP(sk4,sk3)
| ~ ssList(skaf82(sk4))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f3151,f198]) ).
fof(f3151,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(skaf82(sk4))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(superposition,[],[f3119,f1094]) ).
fof(f1094,plain,
( sk4 = app(sk3,skaf82(sk4))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(backward_demodulation,[],[f998,f1088]) ).
fof(f1088,plain,
( skaf82(sk4) = skaf45(sk4,sk3)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(forward_demodulation,[],[f1087,f648]) ).
fof(f648,plain,
( tl(sk4) = skaf82(sk4)
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f647,f260]) ).
fof(f260,plain,
( ssItem(sF0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f647,plain,
( tl(sk4) = skaf82(sk4)
| ~ ssItem(sF0)
| spl2_14 ),
inference(subsumption_resolution,[],[f642,f13]) ).
fof(f642,plain,
( tl(sk4) = skaf82(sk4)
| ~ ssList(skaf82(sk4))
| ~ ssItem(sF0)
| spl2_14 ),
inference(superposition,[],[f96,f621]) ).
fof(f621,plain,
( sk4 = cons(sF0,skaf82(sk4))
| spl2_14 ),
inference(subsumption_resolution,[],[f620,f199]) ).
fof(f199,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',co1_2) ).
fof(f620,plain,
( sk4 = cons(sF0,skaf82(sk4))
| ~ ssList(sk4)
| spl2_14 ),
inference(subsumption_resolution,[],[f618,f397]) ).
fof(f397,plain,
( nil != sk4
| spl2_14 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f618,plain,
( sk4 = cons(sF0,skaf82(sk4))
| nil = sk4
| ~ ssList(sk4)
| spl2_14 ),
inference(superposition,[],[f109,f608]) ).
fof(f608,plain,
( sF0 = skaf83(sk4)
| spl2_14 ),
inference(subsumption_resolution,[],[f607,f199]) ).
fof(f607,plain,
( sF0 = skaf83(sk4)
| ~ ssList(sk4)
| spl2_14 ),
inference(subsumption_resolution,[],[f593,f397]) ).
fof(f593,plain,
( sF0 = skaf83(sk4)
| nil = sk4
| ~ ssList(sk4) ),
inference(superposition,[],[f552,f233]) ).
fof(f233,plain,
hd(sk4) = sF0,
introduced(function_definition,[]) ).
fof(f552,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f551,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause12) ).
fof(f551,plain,
! [X0] :
( skaf83(X0) = hd(X0)
| ~ ssItem(skaf83(X0))
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f545,f13]) ).
fof(f545,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.x9WgiCL5M4/Vampire---4.8_19564',clause97) ).
fof(f109,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause109) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause96) ).
fof(f1087,plain,
( tl(sk4) = skaf45(sk4,sk3)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f1086,f260]) ).
fof(f1086,plain,
( tl(sk4) = skaf45(sk4,sk3)
| ~ ssItem(sF0)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f1077,f51]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause51) ).
fof(f1077,plain,
( tl(sk4) = skaf45(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3))
| ~ ssItem(sF0)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(superposition,[],[f96,f1023]) ).
fof(f1023,plain,
( sk4 = cons(sF0,skaf45(sk4,sk3))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f1015,f51]) ).
fof(f1015,plain,
( sk4 = cons(sF0,skaf45(sk4,sk3))
| ~ ssList(skaf45(sk4,sk3))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(superposition,[],[f998,f695]) ).
fof(f695,plain,
( ! [X0] :
( cons(sF0,X0) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl2_1
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f684,f260]) ).
fof(f684,plain,
( ! [X0] :
( cons(sF0,X0) = app(sk3,X0)
| ~ ssList(X0)
| ~ ssItem(sF0) )
| ~ spl2_1 ),
inference(superposition,[],[f120,f422]) ).
fof(f422,plain,
( sk3 = cons(sF0,nil)
| ~ spl2_1 ),
inference(backward_demodulation,[],[f234,f249]) ).
fof(f234,plain,
cons(sF0,nil) = sF1,
introduced(function_definition,[]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause120) ).
fof(f998,plain,
( sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f997,f198]) ).
fof(f997,plain,
( ~ ssList(sk3)
| sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f986,f199]) ).
fof(f986,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(resolution,[],[f132,f721]) ).
fof(f721,plain,
( frontsegP(sk4,sk3)
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(subsumption_resolution,[],[f719,f13]) ).
fof(f719,plain,
( frontsegP(sk4,sk3)
| ~ ssList(skaf82(sk4))
| ~ spl2_1
| ~ spl2_4
| spl2_14 ),
inference(superposition,[],[f711,f621]) ).
fof(f711,plain,
( ! [X2] :
( frontsegP(cons(sF0,X2),sk3)
| ~ ssList(X2) )
| ~ spl2_1
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f705,f198]) ).
fof(f705,plain,
( ! [X2] :
( frontsegP(cons(sF0,X2),sk3)
| ~ ssList(sk3)
| ~ ssList(X2) )
| ~ spl2_1
| ~ spl2_4 ),
inference(duplicate_literal_removal,[],[f700]) ).
fof(f700,plain,
( ! [X2] :
( frontsegP(cons(sF0,X2),sk3)
| ~ ssList(sk3)
| ~ ssList(X2)
| ~ ssList(X2) )
| ~ spl2_1
| ~ spl2_4 ),
inference(superposition,[],[f271,f695]) ).
fof(f271,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f220,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause85) ).
fof(f220,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause144) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause132) ).
fof(f3119,plain,
! [X4,X5] :
( segmentP(app(X4,X5),X4)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(subsumption_resolution,[],[f3118,f85]) ).
fof(f3118,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4)
| segmentP(app(X4,X5),X4) ),
inference(subsumption_resolution,[],[f3112,f8]) ).
fof(f3112,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(nil)
| segmentP(app(X4,X5),X4) ),
inference(duplicate_literal_removal,[],[f3087]) ).
fof(f3087,plain,
! [X4,X5] :
( ~ ssList(app(X4,X5))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(nil)
| segmentP(app(X4,X5),X4)
| ~ ssList(X4) ),
inference(superposition,[],[f224,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause74) ).
fof(f224,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.x9WgiCL5M4/Vampire---4.8_19564',clause173) ).
fof(f573,plain,
~ spl2_14,
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f572,plain,
( $false
| ~ spl2_14 ),
inference(subsumption_resolution,[],[f571,f8]) ).
fof(f571,plain,
( ~ ssList(nil)
| ~ spl2_14 ),
inference(resolution,[],[f564,f240]) ).
fof(f240,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f217]) ).
fof(f217,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause115) ).
fof(f564,plain,
( neq(nil,nil)
| ~ spl2_14 ),
inference(backward_demodulation,[],[f243,f398]) ).
fof(f398,plain,
( nil = sk4
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f406,plain,
( ~ spl2_4
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f405,f401,f259]) ).
fof(f405,plain,
( nil != sF1
| ~ ssItem(sF0) ),
inference(subsumption_resolution,[],[f310,f8]) ).
fof(f310,plain,
( nil != sF1
| ~ ssList(nil)
| ~ ssItem(sF0) ),
inference(superposition,[],[f99,f234]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause99) ).
fof(f399,plain,
( spl2_14
| spl2_4 ),
inference(avatar_split_clause,[],[f394,f259,f396]) ).
fof(f394,plain,
( ssItem(sF0)
| nil = sk4 ),
inference(subsumption_resolution,[],[f286,f199]) ).
fof(f286,plain,
( ssItem(sF0)
| nil = sk4
| ~ ssList(sk4) ),
inference(superposition,[],[f76,f233]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause76) ).
fof(f358,plain,
( ~ spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f304,f255,f259]) ).
fof(f255,plain,
( spl2_3
<=> ssList(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f304,plain,
( ssList(sF1)
| ~ ssItem(sF0) ),
inference(subsumption_resolution,[],[f303,f8]) ).
fof(f303,plain,
( ssList(sF1)
| ~ ssList(nil)
| ~ ssItem(sF0) ),
inference(superposition,[],[f86,f234]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',clause86) ).
fof(f344,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f343,plain,
( $false
| spl2_2 ),
inference(subsumption_resolution,[],[f340,f338]) ).
fof(f338,plain,
( ~ neq(nil,nil)
| spl2_2 ),
inference(backward_demodulation,[],[f253,f337]) ).
fof(f337,plain,
( nil = sk4
| spl2_2 ),
inference(subsumption_resolution,[],[f336,f8]) ).
fof(f336,plain,
( nil = sk4
| ~ ssList(nil)
| spl2_2 ),
inference(subsumption_resolution,[],[f331,f199]) ).
fof(f331,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ ssList(nil)
| spl2_2 ),
inference(resolution,[],[f100,f253]) ).
fof(f253,plain,
( ~ neq(nil,sk4)
| spl2_2 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl2_2
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f340,plain,
( neq(nil,nil)
| spl2_2 ),
inference(backward_demodulation,[],[f243,f337]) ).
fof(f262,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f245,f259,f255,f251,f247]) ).
fof(f245,plain,
( ~ ssItem(sF0)
| ~ ssList(sF1)
| ~ neq(nil,sk4)
| sk3 = sF1 ),
inference(subsumption_resolution,[],[f235,f243]) ).
fof(f235,plain,
( ~ ssItem(sF0)
| ~ ssList(sF1)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = sF1 ),
inference(definition_folding,[],[f206,f234,f233,f234,f233,f233]) ).
fof(f206,plain,
( ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = cons(hd(sk4),nil) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X6] :
( ~ ssItem(hd(sk4))
| ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = X6
| cons(hd(sk4),nil) != X6 ),
inference(equality_resolution,[],[f197]) ).
fof(f197,axiom,
! [X6,X7] :
( ~ ssItem(X7)
| ~ ssList(X6)
| ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| sk3 = X6
| hd(sk4) != X7
| cons(X7,nil) != X6 ),
file('/export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564',co1_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SWC079-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n015.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 16:40:25 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.x9WgiCL5M4/Vampire---4.8_19564
% 0.15/0.38 % (19778)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.44 % (19783)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)
% 0.22/0.44 % (19781)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)
% 0.22/0.44 % (19782)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.44 % (19779)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)
% 0.22/0.44 % (19785)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.45 % (19779)Refutation not found, incomplete strategy% (19779)------------------------------
% 0.22/0.45 % (19779)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (19779)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (19779)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45 % (19779)Memory used [KB]: 5756
% 0.22/0.45 % (19779)Time elapsed: 0.009 s
% 0.22/0.45 % (19779)------------------------------
% 0.22/0.45 % (19779)------------------------------
% 0.22/0.49 % (19784)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)
% 0.22/0.50 % (19780)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.51 % (19786)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)
% 0.22/0.51 % (19782)First to succeed.
% 0.22/0.52 % (19782)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.52 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.52 % (19782)------------------------------
% 0.22/0.52 % (19782)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.52 % (19782)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.52 % (19782)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (19782)Memory used [KB]: 7291
% 0.22/0.52 % (19782)Time elapsed: 0.079 s
% 0.22/0.52 % (19782)------------------------------
% 0.22/0.52 % (19782)------------------------------
% 0.22/0.52 % (19778)Success in time 0.138 s
% 0.22/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------