TSTP Solution File: SWC409-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC409-1 : 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 : n021.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 20:59:45 EDT 2023
% Result : Unsatisfiable 3.31s 0.84s
% Output : Refutation 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 39
% Syntax : Number of formulae : 159 ( 11 unt; 0 def)
% Number of atoms : 602 ( 101 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 798 ( 355 ~; 430 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 96 (; 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20675,plain,
$false,
inference(avatar_sat_refutation,[],[f236,f809,f870,f941,f986,f1040,f1115,f2638,f20221,f20264,f20278,f20284,f20292,f20674]) ).
fof(f20674,plain,
( ~ spl0_3
| ~ spl0_37
| ~ spl0_49
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(avatar_contradiction_clause,[],[f20673]) ).
fof(f20673,plain,
( $false
| ~ spl0_3
| ~ spl0_37
| ~ spl0_49
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f20672,f195]) ).
fof(f195,axiom,
~ memberP(sk1,sk5),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_10) ).
fof(f20672,plain,
( memberP(sk1,sk5)
| ~ spl0_3
| ~ spl0_37
| ~ spl0_49
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(resolution,[],[f20669,f194]) ).
fof(f194,axiom,
memberP(sk2,sk5),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_9) ).
fof(f20669,plain,
( ! [X1] :
( ~ memberP(sk2,X1)
| memberP(sk1,X1) )
| ~ spl0_3
| ~ spl0_37
| ~ spl0_49
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f20667,f242]) ).
fof(f242,plain,
( ! [X0] : ssItem(X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_3
<=> ! [X0] : ssItem(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f20667,plain,
( ! [X1] :
( memberP(sk1,X1)
| ~ ssItem(X1)
| ~ memberP(sk2,X1) )
| ~ spl0_37
| ~ spl0_49
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f20666]) ).
fof(f20666,plain,
( ! [X1] :
( memberP(sk1,X1)
| ~ ssItem(X1)
| ~ memberP(sk2,X1)
| ~ ssItem(X1) )
| ~ spl0_37
| ~ spl0_49
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(resolution,[],[f19405,f17121]) ).
fof(f17121,plain,
( ! [X3] :
( memberP(tl(app(sk2,sk2)),X3)
| ~ memberP(sk2,X3)
| ~ ssItem(X3) )
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(forward_demodulation,[],[f17120,f17094]) ).
fof(f17094,plain,
( app(sk1,tl(sk2)) = tl(app(sk2,sk2))
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f17093,f956]) ).
fof(f956,plain,
( nil != sk2
| spl0_61 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f955,plain,
( spl0_61
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f17093,plain,
( app(sk1,tl(sk2)) = tl(app(sk2,sk2))
| nil = sk2
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f17092,f187]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_2) ).
fof(f17092,plain,
( app(sk1,tl(sk2)) = tl(app(sk2,sk2))
| ~ ssList(sk2)
| nil = sk2
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f17033]) ).
fof(f17033,plain,
( app(sk1,tl(sk2)) = tl(app(sk2,sk2))
| ~ ssList(sk2)
| nil = sk2
| ~ ssList(sk2)
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(superposition,[],[f16852,f133]) ).
fof(f133,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause133) ).
fof(f16852,plain,
( app(tl(sk2),sk2) = app(sk1,tl(sk2))
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f16851,f187]) ).
fof(f16851,plain,
( app(tl(sk2),sk2) = app(sk1,tl(sk2))
| ~ ssList(sk2)
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f16850,f956]) ).
fof(f16850,plain,
( app(tl(sk2),sk2) = app(sk1,tl(sk2))
| nil = sk2
| ~ ssList(sk2)
| ~ spl0_37
| ~ spl0_51
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f16769,f740]) ).
fof(f740,plain,
( ssList(tl(sk2))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f739,plain,
( spl0_37
<=> ssList(tl(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f16769,plain,
( app(tl(sk2),sk2) = app(sk1,tl(sk2))
| ~ ssList(tl(sk2))
| nil = sk2
| ~ ssList(sk2)
| ~ spl0_51
| ~ spl0_66 ),
inference(superposition,[],[f10026,f104]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause104) ).
fof(f10026,plain,
( ! [X0] :
( app(sk1,X0) = app(tl(sk2),cons(hd(sk2),X0))
| ~ ssList(X0) )
| ~ spl0_51
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f10025,f1049]) ).
fof(f1049,plain,
( ssItem(hd(sk2))
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1048,plain,
( spl0_66
<=> ssItem(hd(sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f10025,plain,
( ! [X0] :
( app(sk1,X0) = app(tl(sk2),cons(hd(sk2),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk2)) )
| ~ spl0_51 ),
inference(duplicate_literal_removal,[],[f9950]) ).
fof(f9950,plain,
( ! [X0] :
( app(sk1,X0) = app(tl(sk2),cons(hd(sk2),X0))
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk2)) )
| ~ spl0_51 ),
inference(superposition,[],[f817,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause120) ).
fof(f817,plain,
( ! [X15] :
( app(sk1,X15) = app(tl(sk2),app(cons(hd(sk2),nil),X15))
| ~ ssList(X15) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl0_51
<=> ! [X15] :
( app(sk1,X15) = app(tl(sk2),app(cons(hd(sk2),nil),X15))
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f17120,plain,
( ! [X3] :
( memberP(app(sk1,tl(sk2)),X3)
| ~ memberP(sk2,X3)
| ~ ssItem(X3) )
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f17119,f740]) ).
fof(f17119,plain,
( ! [X3] :
( memberP(app(sk1,tl(sk2)),X3)
| ~ ssList(tl(sk2))
| ~ memberP(sk2,X3)
| ~ ssItem(X3) )
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f17043,f187]) ).
fof(f17043,plain,
( ! [X3] :
( memberP(app(sk1,tl(sk2)),X3)
| ~ ssList(sk2)
| ~ ssList(tl(sk2))
| ~ memberP(sk2,X3)
| ~ ssItem(X3) )
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(superposition,[],[f141,f16852]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause141) ).
fof(f19405,plain,
( ! [X17] :
( ~ memberP(tl(app(sk2,sk2)),X17)
| memberP(sk1,X17)
| ~ ssItem(X17) )
| ~ spl0_37
| ~ spl0_49
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f19404,f808]) ).
fof(f808,plain,
( ! [X13] :
( ~ memberP(tl(sk2),X13)
| memberP(sk1,X13) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f807,plain,
( spl0_49
<=> ! [X13] :
( memberP(sk1,X13)
| ~ memberP(tl(sk2),X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f19404,plain,
( ! [X17] :
( ~ memberP(tl(app(sk2,sk2)),X17)
| memberP(tl(sk2),X17)
| memberP(sk1,X17)
| ~ ssItem(X17) )
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f19403,f740]) ).
fof(f19403,plain,
( ! [X17] :
( ~ memberP(tl(app(sk2,sk2)),X17)
| ~ ssList(tl(sk2))
| memberP(tl(sk2),X17)
| memberP(sk1,X17)
| ~ ssItem(X17) )
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f19340,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_1) ).
fof(f19340,plain,
( ! [X17] :
( ~ memberP(tl(app(sk2,sk2)),X17)
| ~ ssList(sk1)
| ~ ssList(tl(sk2))
| memberP(tl(sk2),X17)
| memberP(sk1,X17)
| ~ ssItem(X17) )
| ~ spl0_37
| ~ spl0_51
| spl0_61
| ~ spl0_66 ),
inference(superposition,[],[f158,f17094]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause158) ).
fof(f20292,plain,
spl0_392,
inference(avatar_contradiction_clause,[],[f20291]) ).
fof(f20291,plain,
( $false
| spl0_392 ),
inference(subsumption_resolution,[],[f20290,f187]) ).
fof(f20290,plain,
( ~ ssList(sk2)
| spl0_392 ),
inference(subsumption_resolution,[],[f20287,f186]) ).
fof(f20287,plain,
( ~ ssList(sk1)
| ~ ssList(sk2)
| spl0_392 ),
inference(resolution,[],[f10292,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause85) ).
fof(f10292,plain,
( ~ ssList(app(sk1,sk2))
| spl0_392 ),
inference(avatar_component_clause,[],[f10290]) ).
fof(f10290,plain,
( spl0_392
<=> ssList(app(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_392])]) ).
fof(f20284,plain,
( ~ spl0_391
| ~ spl0_392
| spl0_61 ),
inference(avatar_split_clause,[],[f20283,f955,f10290,f10286]) ).
fof(f10286,plain,
( spl0_391
<=> duplicatefreeP(app(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_391])]) ).
fof(f20283,plain,
( ~ ssList(app(sk1,sk2))
| ~ duplicatefreeP(app(sk1,sk2))
| spl0_61 ),
inference(subsumption_resolution,[],[f20282,f187]) ).
fof(f20282,plain,
( ~ ssList(app(sk1,sk2))
| ~ duplicatefreeP(app(sk1,sk2))
| ~ ssList(sk2)
| spl0_61 ),
inference(subsumption_resolution,[],[f20281,f956]) ).
fof(f20281,plain,
( ~ ssList(app(sk1,sk2))
| ~ duplicatefreeP(app(sk1,sk2))
| nil = sk2
| ~ ssList(sk2)
| spl0_61 ),
inference(subsumption_resolution,[],[f10305,f13]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause13) ).
fof(f10305,plain,
( ~ ssList(app(sk1,sk2))
| ~ duplicatefreeP(app(sk1,sk2))
| ~ ssList(skaf82(sk2))
| nil = sk2
| ~ ssList(sk2)
| spl0_61 ),
inference(superposition,[],[f1645,f109]) ).
fof(f109,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause109) ).
fof(f1645,plain,
( ! [X0] :
( ~ ssList(app(sk1,cons(skaf83(sk2),X0)))
| ~ duplicatefreeP(app(sk1,cons(skaf83(sk2),X0)))
| ~ ssList(X0) )
| spl0_61 ),
inference(subsumption_resolution,[],[f1644,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause8) ).
fof(f1644,plain,
( ! [X0] :
( ~ ssList(app(sk1,cons(skaf83(sk2),X0)))
| ~ duplicatefreeP(app(sk1,cons(skaf83(sk2),X0)))
| ~ ssList(nil)
| ~ ssList(X0) )
| spl0_61 ),
inference(subsumption_resolution,[],[f1643,f13]) ).
fof(f1643,plain,
( ! [X0] :
( ~ ssList(app(sk1,cons(skaf83(sk2),X0)))
| ~ duplicatefreeP(app(sk1,cons(skaf83(sk2),X0)))
| ~ ssList(skaf82(sk2))
| ~ ssList(nil)
| ~ ssList(X0) )
| spl0_61 ),
inference(subsumption_resolution,[],[f1611,f12]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause12) ).
fof(f1611,plain,
( ! [X0] :
( ~ ssList(app(sk1,cons(skaf83(sk2),X0)))
| ~ ssItem(skaf83(sk2))
| ~ duplicatefreeP(app(sk1,cons(skaf83(sk2),X0)))
| ~ ssList(skaf82(sk2))
| ~ ssList(nil)
| ~ ssList(X0) )
| spl0_61 ),
inference(superposition,[],[f213,f1588]) ).
fof(f1588,plain,
( sk1 = app(skaf82(sk2),cons(skaf83(sk2),nil))
| spl0_61 ),
inference(subsumption_resolution,[],[f952,f956]) ).
fof(f952,plain,
( sk1 = app(skaf82(sk2),cons(skaf83(sk2),nil))
| nil = sk2 ),
inference(subsumption_resolution,[],[f634,f187]) ).
fof(f634,plain,
( sk1 = app(skaf82(sk2),cons(skaf83(sk2),nil))
| nil = sk2
| ~ ssList(sk2) ),
inference(equality_resolution,[],[f534]) ).
fof(f534,plain,
! [X1] :
( sk2 != X1
| sk1 = app(skaf82(X1),cons(skaf83(X1),nil))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f533,f13]) ).
fof(f533,plain,
! [X1] :
( sk2 != X1
| sk1 = app(skaf82(X1),cons(skaf83(X1),nil))
| ~ ssList(skaf82(X1))
| nil = X1
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f531,f12]) ).
fof(f531,plain,
! [X1] :
( sk2 != X1
| sk1 = app(skaf82(X1),cons(skaf83(X1),nil))
| ~ ssItem(skaf83(X1))
| ~ ssList(skaf82(X1))
| nil = X1
| ~ ssList(X1) ),
inference(superposition,[],[f260,f109]) ).
fof(f260,plain,
! [X0,X1] :
( cons(X0,X1) != sk2
| sk1 = app(X1,cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( cons(X0,X1) != sk2
| sk1 = app(X1,cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[],[f238,f120]) ).
fof(f238,plain,
! [X6,X7] :
( sk2 != app(cons(X6,nil),X7)
| sk1 = app(X7,cons(X6,nil))
| ~ ssItem(X6)
| ~ ssList(X7) ),
inference(forward_demodulation,[],[f237,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_6) ).
fof(f237,plain,
! [X6,X7] :
( sk2 != app(cons(X6,nil),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| sk3 = app(X7,cons(X6,nil)) ),
inference(forward_demodulation,[],[f192,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_5) ).
fof(f192,axiom,
! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| sk4 != app(cons(X6,nil),X7)
| sk3 = app(X7,cons(X6,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_7) ).
fof(f213,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.7Em6latncq/Vampire---4.8_3976',clause179) ).
fof(f20278,plain,
( spl0_391
| ~ spl0_718 ),
inference(avatar_contradiction_clause,[],[f20277]) ).
fof(f20277,plain,
( $false
| spl0_391
| ~ spl0_718 ),
inference(subsumption_resolution,[],[f20265,f187]) ).
fof(f20265,plain,
( ~ ssList(sk2)
| spl0_391
| ~ spl0_718 ),
inference(resolution,[],[f20263,f10288]) ).
fof(f10288,plain,
( ~ duplicatefreeP(app(sk1,sk2))
| spl0_391 ),
inference(avatar_component_clause,[],[f10286]) ).
fof(f20263,plain,
( ! [X56] :
( duplicatefreeP(app(sk1,X56))
| ~ ssList(X56) )
| ~ spl0_718 ),
inference(avatar_component_clause,[],[f20262]) ).
fof(f20262,plain,
( spl0_718
<=> ! [X56] :
( ~ ssList(X56)
| duplicatefreeP(app(sk1,X56)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_718])]) ).
fof(f20264,plain,
( spl0_3
| spl0_718
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f20248,f4910,f20262,f241]) ).
fof(f4910,plain,
( spl0_240
<=> ! [X5] :
( ssList(app(sk1,X5))
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f20248,plain,
( ! [X56,X57] :
( ~ ssList(X56)
| duplicatefreeP(app(sk1,X56))
| ssItem(X57) )
| ~ spl0_240 ),
inference(resolution,[],[f4911,f72]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause72) ).
fof(f4911,plain,
( ! [X5] :
( ssList(app(sk1,X5))
| ~ ssList(X5) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f4910]) ).
fof(f20221,plain,
( spl0_240
| ~ spl0_37
| ~ spl0_51
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f20220,f1048,f816,f739,f4910]) ).
fof(f20220,plain,
( ! [X0] :
( ssList(app(sk1,X0))
| ~ ssList(X0) )
| ~ spl0_37
| ~ spl0_51
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f20217,f1049]) ).
fof(f20217,plain,
( ! [X0] :
( ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk2)) )
| ~ spl0_37
| ~ spl0_51
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f20210]) ).
fof(f20210,plain,
( ! [X0] :
( ssList(app(sk1,X0))
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk2)) )
| ~ spl0_37
| ~ spl0_51
| ~ spl0_66 ),
inference(resolution,[],[f16881,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause86) ).
fof(f16881,plain,
( ! [X25] :
( ~ ssList(cons(hd(sk2),X25))
| ssList(app(sk1,X25))
| ~ ssList(X25) )
| ~ spl0_37
| ~ spl0_51
| ~ spl0_66 ),
inference(subsumption_resolution,[],[f16787,f740]) ).
fof(f16787,plain,
( ! [X25] :
( ssList(app(sk1,X25))
| ~ ssList(tl(sk2))
| ~ ssList(cons(hd(sk2),X25))
| ~ ssList(X25) )
| ~ spl0_51
| ~ spl0_66 ),
inference(superposition,[],[f85,f10026]) ).
fof(f2638,plain,
( spl0_51
| ~ spl0_35
| ~ spl0_37
| spl0_61 ),
inference(avatar_split_clause,[],[f2412,f955,f739,f724,f816]) ).
fof(f724,plain,
( spl0_35
<=> ssList(cons(hd(sk2),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f2412,plain,
( ! [X15] :
( app(sk1,X15) = app(tl(sk2),app(cons(hd(sk2),nil),X15))
| ~ ssList(X15) )
| ~ spl0_35
| ~ spl0_37
| spl0_61 ),
inference(subsumption_resolution,[],[f2411,f725]) ).
fof(f725,plain,
( ssList(cons(hd(sk2),nil))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f2411,plain,
( ! [X15] :
( app(sk1,X15) = app(tl(sk2),app(cons(hd(sk2),nil),X15))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(X15) )
| ~ spl0_37
| spl0_61 ),
inference(subsumption_resolution,[],[f2340,f740]) ).
fof(f2340,plain,
( ! [X15] :
( app(sk1,X15) = app(tl(sk2),app(cons(hd(sk2),nil),X15))
| ~ ssList(tl(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(X15) )
| spl0_61 ),
inference(superposition,[],[f149,f1595]) ).
fof(f1595,plain,
( sk1 = app(tl(sk2),cons(hd(sk2),nil))
| spl0_61 ),
inference(subsumption_resolution,[],[f1594,f187]) ).
fof(f1594,plain,
( sk1 = app(tl(sk2),cons(hd(sk2),nil))
| ~ ssList(sk2)
| spl0_61 ),
inference(subsumption_resolution,[],[f1593,f956]) ).
fof(f1593,plain,
( sk1 = app(tl(sk2),cons(hd(sk2),nil))
| nil = sk2
| ~ ssList(sk2) ),
inference(equality_resolution,[],[f981]) ).
fof(f981,plain,
! [X2] :
( sk2 != X2
| sk1 = app(tl(X2),cons(hd(X2),nil))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f980,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause76) ).
fof(f980,plain,
! [X2] :
( sk2 != X2
| sk1 = app(tl(X2),cons(hd(X2),nil))
| ~ ssItem(hd(X2))
| nil = X2
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f532,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause75) ).
fof(f532,plain,
! [X2] :
( sk2 != X2
| sk1 = app(tl(X2),cons(hd(X2),nil))
| ~ ssItem(hd(X2))
| ~ ssList(tl(X2))
| nil = X2
| ~ ssList(X2) ),
inference(superposition,[],[f260,f104]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause149) ).
fof(f1115,plain,
( spl0_61
| spl0_66 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1114,plain,
( $false
| spl0_61
| spl0_66 ),
inference(subsumption_resolution,[],[f1113,f187]) ).
fof(f1113,plain,
( ~ ssList(sk2)
| spl0_61
| spl0_66 ),
inference(subsumption_resolution,[],[f1109,f956]) ).
fof(f1109,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_66 ),
inference(resolution,[],[f1050,f78]) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause78) ).
fof(f1050,plain,
( ~ ssItem(hd(sk2))
| spl0_66 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1040,plain,
( spl0_35
| spl0_61 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
fof(f1039,plain,
( $false
| spl0_35
| spl0_61 ),
inference(subsumption_resolution,[],[f1038,f187]) ).
fof(f1038,plain,
( ~ ssList(sk2)
| spl0_35
| spl0_61 ),
inference(subsumption_resolution,[],[f1034,f956]) ).
fof(f1034,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_35 ),
inference(resolution,[],[f1032,f78]) ).
fof(f1032,plain,
( ~ ssItem(hd(sk2))
| spl0_35 ),
inference(subsumption_resolution,[],[f1031,f8]) ).
fof(f1031,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk2))
| spl0_35 ),
inference(resolution,[],[f726,f86]) ).
fof(f726,plain,
( ~ ssList(cons(hd(sk2),nil))
| spl0_35 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f986,plain,
( ~ spl0_61
| spl0_1 ),
inference(avatar_split_clause,[],[f983,f229,f955]) ).
fof(f229,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f983,plain,
( nil != sk2
| spl0_1 ),
inference(superposition,[],[f231,f190]) ).
fof(f231,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f941,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f940]) ).
fof(f940,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f921,f876]) ).
fof(f876,plain,
( ~ memberP(nil,sk5)
| ~ spl0_2 ),
inference(superposition,[],[f195,f235]) ).
fof(f235,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f921,plain,
( memberP(nil,sk5)
| ~ spl0_1 ),
inference(superposition,[],[f194,f873]) ).
fof(f873,plain,
( nil = sk2
| ~ spl0_1 ),
inference(superposition,[],[f190,f230]) ).
fof(f230,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f870,plain,
( spl0_1
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f869,plain,
( $false
| spl0_1
| spl0_37 ),
inference(subsumption_resolution,[],[f868,f187]) ).
fof(f868,plain,
( ~ ssList(sk2)
| spl0_1
| spl0_37 ),
inference(subsumption_resolution,[],[f864,f253]) ).
fof(f253,plain,
( nil != sk2
| spl0_1 ),
inference(superposition,[],[f231,f190]) ).
fof(f864,plain,
( nil = sk2
| ~ ssList(sk2)
| spl0_37 ),
inference(resolution,[],[f741,f75]) ).
fof(f741,plain,
( ~ ssList(tl(sk2))
| spl0_37 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f809,plain,
( ~ spl0_37
| ~ spl0_35
| spl0_49
| spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f805,f241,f229,f807,f724,f739]) ).
fof(f805,plain,
( ! [X13] :
( memberP(sk1,X13)
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2))
| ~ memberP(tl(sk2),X13) )
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f708,f242]) ).
fof(f708,plain,
( ! [X13] :
( memberP(sk1,X13)
| ~ ssList(cons(hd(sk2),nil))
| ~ ssList(tl(sk2))
| ~ memberP(tl(sk2),X13)
| ~ ssItem(X13) )
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f140,f692]) ).
fof(f692,plain,
( sk1 = app(tl(sk2),cons(hd(sk2),nil))
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f691,f187]) ).
fof(f691,plain,
( sk1 = app(tl(sk2),cons(hd(sk2),nil))
| ~ ssList(sk2)
| spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f690,f253]) ).
fof(f690,plain,
( sk1 = app(tl(sk2),cons(hd(sk2),nil))
| nil = sk2
| ~ ssList(sk2)
| ~ spl0_3 ),
inference(equality_resolution,[],[f536]) ).
fof(f536,plain,
( ! [X2] :
( sk2 != X2
| sk1 = app(tl(X2),cons(hd(X2),nil))
| nil = X2
| ~ ssList(X2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f535,f75]) ).
fof(f535,plain,
( ! [X2] :
( sk2 != X2
| sk1 = app(tl(X2),cons(hd(X2),nil))
| ~ ssList(tl(X2))
| nil = X2
| ~ ssList(X2) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f532,f242]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',clause140) ).
fof(f236,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f227,f233,f229]) ).
fof(f227,plain,
( nil = sk1
| nil != sk4 ),
inference(forward_demodulation,[],[f196,f191]) ).
fof(f196,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC409-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 18:41:13 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.7Em6latncq/Vampire---4.8_3976
% 0.14/0.37 % (4242)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (4253)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)
% 0.22/0.42 % (4262)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)
% 0.22/0.43 % (4246)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)
% 0.22/0.43 % (4257)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.43 % (4247)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.43 % (4263)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.44 % (4258)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)
% 3.31/0.83 % (4263)First to succeed.
% 3.31/0.84 % (4263)Refutation found. Thanks to Tanya!
% 3.31/0.84 % SZS status Unsatisfiable for Vampire---4
% 3.31/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 3.31/0.84 % (4263)------------------------------
% 3.31/0.84 % (4263)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.31/0.84 % (4263)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.31/0.84 % (4263)Termination reason: Refutation
% 3.31/0.84
% 3.31/0.84 % (4263)Memory used [KB]: 19957
% 3.31/0.84 % (4263)Time elapsed: 0.405 s
% 3.31/0.84 % (4263)------------------------------
% 3.31/0.84 % (4263)------------------------------
% 3.31/0.84 % (4242)Success in time 0.47 s
% 3.31/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------