TSTP Solution File: SWC042-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC042-1 : 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 : n032.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 : Sat Sep 2 12:37:54 EDT 2023
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 195
% Syntax : Number of formulae : 381 ( 161 unt; 0 def)
% Number of atoms : 818 ( 144 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 757 ( 320 ~; 334 |; 0 &)
% ( 103 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 119 ( 117 usr; 104 prp; 0-2 aty)
% Number of functors : 48 ( 48 usr; 8 con; 0-2 aty)
% Number of variables : 236 (; 236 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f873,plain,
$false,
inference(avatar_sat_refutation,[],[f272,f277,f282,f288,f294,f299,f305,f310,f315,f320,f325,f330,f335,f340,f345,f350,f355,f360,f365,f371,f375,f379,f383,f387,f392,f396,f400,f404,f408,f412,f416,f420,f424,f428,f438,f442,f447,f451,f455,f459,f463,f467,f471,f481,f492,f497,f501,f506,f510,f514,f518,f522,f529,f533,f538,f542,f546,f562,f566,f570,f574,f579,f583,f587,f591,f595,f599,f603,f607,f611,f615,f619,f625,f629,f633,f637,f641,f645,f649,f653,f657,f661,f667,f671,f675,f679,f683,f687,f691,f695,f699,f703,f709,f713,f718,f795,f820,f825,f830,f835,f839,f843,f870,f872]) ).
fof(f872,plain,
( spl0_25
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f816,f792,f444,f368,f389]) ).
fof(f389,plain,
( spl0_25
<=> sk1 = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f368,plain,
( spl0_20
<=> sk2 = app(sk1,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f444,plain,
( spl0_37
<=> sk1 = app(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f792,plain,
( spl0_96
<=> sk2 = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f816,plain,
( sk1 = sk2
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96 ),
inference(forward_demodulation,[],[f814,f446]) ).
fof(f446,plain,
( sk1 = app(sk1,sk2)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f814,plain,
( sk2 = app(sk1,sk2)
| ~ spl0_20
| ~ spl0_96 ),
inference(superposition,[],[f370,f794]) ).
fof(f794,plain,
( sk2 = sk5
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f370,plain,
( sk2 = app(sk1,sk5)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f870,plain,
spl0_103,
inference(avatar_split_clause,[],[f255,f868]) ).
fof(f868,plain,
( spl0_103
<=> ! [X0,X1] :
( sk2 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f255,plain,
! [X0,X1] :
( sk2 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| hd(app(X1,X0)) = hd(X1) ),
inference(forward_demodulation,[],[f123,f190]) ).
fof(f190,axiom,
nil = sk2,
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_5) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause123) ).
fof(f843,plain,
( spl0_102
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f831,f828,f792,f444,f368,f841]) ).
fof(f841,plain,
( spl0_102
<=> ! [X0,X1] :
( sk1 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f828,plain,
( spl0_99
<=> ! [X0,X1] :
( sk2 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f831,plain,
( ! [X0,X1] :
( sk1 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| ~ totalorderedP(cons(X0,X1)) )
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96
| ~ spl0_99 ),
inference(forward_demodulation,[],[f829,f816]) ).
fof(f829,plain,
( ! [X0,X1] :
( sk2 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| ~ totalorderedP(cons(X0,X1)) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f839,plain,
( spl0_101
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f826,f823,f792,f444,f368,f837]) ).
fof(f837,plain,
( spl0_101
<=> ! [X0,X1] :
( sk1 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f823,plain,
( spl0_98
<=> ! [X0,X1] :
( sk2 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f826,plain,
( ! [X0,X1] :
( sk1 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| ~ strictorderedP(cons(X0,X1)) )
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96
| ~ spl0_98 ),
inference(forward_demodulation,[],[f824,f816]) ).
fof(f824,plain,
( ! [X0,X1] :
( sk2 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| ~ strictorderedP(cons(X0,X1)) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f835,plain,
( spl0_100
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f821,f818,f792,f444,f368,f833]) ).
fof(f833,plain,
( spl0_100
<=> ! [X0,X1] :
( cons(X0,X1) = app(cons(X0,sk1),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f818,plain,
( spl0_97
<=> ! [X0,X1] :
( cons(X0,X1) = app(cons(X0,sk2),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f821,plain,
( ! [X0,X1] :
( cons(X0,X1) = app(cons(X0,sk1),X1)
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl0_20
| ~ spl0_37
| ~ spl0_96
| ~ spl0_97 ),
inference(forward_demodulation,[],[f819,f816]) ).
fof(f819,plain,
( ! [X0,X1] :
( cons(X0,X1) = app(cons(X0,sk2),X1)
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f830,plain,
spl0_99,
inference(avatar_split_clause,[],[f258,f828]) ).
fof(f258,plain,
! [X0,X1] :
( sk2 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| ~ totalorderedP(cons(X0,X1)) ),
inference(forward_demodulation,[],[f125,f190]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause125) ).
fof(f825,plain,
spl0_98,
inference(avatar_split_clause,[],[f257,f823]) ).
fof(f257,plain,
! [X0,X1] :
( sk2 = X1
| ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| ~ strictorderedP(cons(X0,X1)) ),
inference(forward_demodulation,[],[f124,f190]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause124) ).
fof(f820,plain,
spl0_97,
inference(avatar_split_clause,[],[f229,f818]) ).
fof(f229,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,sk2),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(forward_demodulation,[],[f120,f190]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause120) ).
fof(f795,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_96
| ~ spl0_20
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f556,f540,f368,f792,f291,f269]) ).
fof(f269,plain,
( spl0_1
<=> ssList(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f291,plain,
( spl0_5
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f540,plain,
( spl0_56
<=> ! [X0,X1] :
( app(X0,X1) != sk2
| sk2 = X1
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f556,plain,
( sk2 = sk5
| ~ ssList(sk5)
| ~ ssList(sk1)
| ~ spl0_20
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f555]) ).
fof(f555,plain,
( sk2 != sk2
| sk2 = sk5
| ~ ssList(sk5)
| ~ ssList(sk1)
| ~ spl0_20
| ~ spl0_56 ),
inference(superposition,[],[f541,f370]) ).
fof(f541,plain,
( ! [X0,X1] :
( app(X0,X1) != sk2
| sk2 = X1
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f718,plain,
~ spl0_95,
inference(avatar_split_clause,[],[f54,f715]) ).
fof(f715,plain,
( spl0_95
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause54) ).
fof(f713,plain,
spl0_94,
inference(avatar_split_clause,[],[f47,f711]) ).
fof(f711,plain,
( spl0_94
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause47) ).
fof(f709,plain,
spl0_93,
inference(avatar_split_clause,[],[f46,f707]) ).
fof(f707,plain,
( spl0_93
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause46) ).
fof(f703,plain,
spl0_92,
inference(avatar_split_clause,[],[f45,f701]) ).
fof(f701,plain,
( spl0_92
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause45) ).
fof(f699,plain,
spl0_91,
inference(avatar_split_clause,[],[f44,f697]) ).
fof(f697,plain,
( spl0_91
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause44) ).
fof(f695,plain,
spl0_90,
inference(avatar_split_clause,[],[f43,f693]) ).
fof(f693,plain,
( spl0_90
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause43) ).
fof(f691,plain,
spl0_89,
inference(avatar_split_clause,[],[f42,f689]) ).
fof(f689,plain,
( spl0_89
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause42) ).
fof(f687,plain,
spl0_88,
inference(avatar_split_clause,[],[f41,f685]) ).
fof(f685,plain,
( spl0_88
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause41) ).
fof(f683,plain,
spl0_87,
inference(avatar_split_clause,[],[f40,f681]) ).
fof(f681,plain,
( spl0_87
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause40) ).
fof(f679,plain,
spl0_86,
inference(avatar_split_clause,[],[f39,f677]) ).
fof(f677,plain,
( spl0_86
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause39) ).
fof(f675,plain,
spl0_85,
inference(avatar_split_clause,[],[f38,f673]) ).
fof(f673,plain,
( spl0_85
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause38) ).
fof(f671,plain,
spl0_84,
inference(avatar_split_clause,[],[f37,f669]) ).
fof(f669,plain,
( spl0_84
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause37) ).
fof(f667,plain,
spl0_83,
inference(avatar_split_clause,[],[f36,f665]) ).
fof(f665,plain,
( spl0_83
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause36) ).
fof(f661,plain,
spl0_82,
inference(avatar_split_clause,[],[f35,f659]) ).
fof(f659,plain,
( spl0_82
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause35) ).
fof(f657,plain,
spl0_81,
inference(avatar_split_clause,[],[f34,f655]) ).
fof(f655,plain,
( spl0_81
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause34) ).
fof(f653,plain,
spl0_80,
inference(avatar_split_clause,[],[f33,f651]) ).
fof(f651,plain,
( spl0_80
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause33) ).
fof(f649,plain,
spl0_79,
inference(avatar_split_clause,[],[f32,f647]) ).
fof(f647,plain,
( spl0_79
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause32) ).
fof(f645,plain,
spl0_78,
inference(avatar_split_clause,[],[f31,f643]) ).
fof(f643,plain,
( spl0_78
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause31) ).
fof(f641,plain,
spl0_77,
inference(avatar_split_clause,[],[f30,f639]) ).
fof(f639,plain,
( spl0_77
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause30) ).
fof(f637,plain,
spl0_76,
inference(avatar_split_clause,[],[f29,f635]) ).
fof(f635,plain,
( spl0_76
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause29) ).
fof(f633,plain,
spl0_75,
inference(avatar_split_clause,[],[f28,f631]) ).
fof(f631,plain,
( spl0_75
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause28) ).
fof(f629,plain,
spl0_74,
inference(avatar_split_clause,[],[f27,f627]) ).
fof(f627,plain,
( spl0_74
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause27) ).
fof(f625,plain,
spl0_73,
inference(avatar_split_clause,[],[f26,f623]) ).
fof(f623,plain,
( spl0_73
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause26) ).
fof(f619,plain,
spl0_72,
inference(avatar_split_clause,[],[f25,f617]) ).
fof(f617,plain,
( spl0_72
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause25) ).
fof(f615,plain,
spl0_71,
inference(avatar_split_clause,[],[f24,f613]) ).
fof(f613,plain,
( spl0_71
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause24) ).
fof(f611,plain,
spl0_70,
inference(avatar_split_clause,[],[f23,f609]) ).
fof(f609,plain,
( spl0_70
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause23) ).
fof(f607,plain,
spl0_69,
inference(avatar_split_clause,[],[f22,f605]) ).
fof(f605,plain,
( spl0_69
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause22) ).
fof(f603,plain,
spl0_68,
inference(avatar_split_clause,[],[f21,f601]) ).
fof(f601,plain,
( spl0_68
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause21) ).
fof(f599,plain,
spl0_67,
inference(avatar_split_clause,[],[f20,f597]) ).
fof(f597,plain,
( spl0_67
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause20) ).
fof(f595,plain,
spl0_66,
inference(avatar_split_clause,[],[f19,f593]) ).
fof(f593,plain,
( spl0_66
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause19) ).
fof(f591,plain,
spl0_65,
inference(avatar_split_clause,[],[f18,f589]) ).
fof(f589,plain,
( spl0_65
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause18) ).
fof(f587,plain,
spl0_64,
inference(avatar_split_clause,[],[f17,f585]) ).
fof(f585,plain,
( spl0_64
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause17) ).
fof(f583,plain,
spl0_63,
inference(avatar_split_clause,[],[f16,f581]) ).
fof(f581,plain,
( spl0_63
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause16) ).
fof(f579,plain,
( spl0_62
| ~ spl0_5
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f434,f426,f291,f576]) ).
fof(f576,plain,
( spl0_62
<=> sk5 = app(sk2,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f426,plain,
( spl0_34
<=> ! [X0] :
( app(sk2,X0) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f434,plain,
( sk5 = app(sk2,sk5)
| ~ spl0_5
| ~ spl0_34 ),
inference(resolution,[],[f427,f293]) ).
fof(f293,plain,
( ssList(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f427,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk2,X0) = X0 )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f574,plain,
spl0_61,
inference(avatar_split_clause,[],[f15,f572]) ).
fof(f572,plain,
( spl0_61
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause15) ).
fof(f570,plain,
spl0_60,
inference(avatar_split_clause,[],[f14,f568]) ).
fof(f568,plain,
( spl0_60
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause14) ).
fof(f566,plain,
spl0_59,
inference(avatar_split_clause,[],[f13,f564]) ).
fof(f564,plain,
( spl0_59
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause13) ).
fof(f562,plain,
spl0_58,
inference(avatar_split_clause,[],[f12,f560]) ).
fof(f560,plain,
( spl0_58
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause12) ).
fof(f546,plain,
spl0_57,
inference(avatar_split_clause,[],[f254,f544]) ).
fof(f544,plain,
( spl0_57
<=> ! [X0,X1] :
( app(X0,X1) != sk2
| sk2 = X0
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f254,plain,
! [X0,X1] :
( app(X0,X1) != sk2
| sk2 = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f253,f190]) ).
fof(f253,plain,
! [X0,X1] :
( sk2 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| nil != app(X0,X1) ),
inference(forward_demodulation,[],[f118,f190]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause118) ).
fof(f542,plain,
spl0_56,
inference(avatar_split_clause,[],[f252,f540]) ).
fof(f252,plain,
! [X0,X1] :
( app(X0,X1) != sk2
| sk2 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f251,f190]) ).
fof(f251,plain,
! [X0,X1] :
( sk2 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| nil != app(X0,X1) ),
inference(forward_demodulation,[],[f119,f190]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause119) ).
fof(f538,plain,
( spl0_55
| ~ spl0_1
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f432,f426,f269,f535]) ).
fof(f535,plain,
( spl0_55
<=> sk1 = app(sk2,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f432,plain,
( sk1 = app(sk2,sk1)
| ~ spl0_1
| ~ spl0_34 ),
inference(resolution,[],[f427,f271]) ).
fof(f271,plain,
( ssList(sk1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f533,plain,
spl0_54,
inference(avatar_split_clause,[],[f247,f531]) ).
fof(f531,plain,
( spl0_54
<=> ! [X0] :
( sk2 = X0
| ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f247,plain,
! [X0] :
( sk2 = X0
| ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0 ),
inference(forward_demodulation,[],[f104,f190]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause104) ).
fof(f529,plain,
spl0_53,
inference(avatar_split_clause,[],[f246,f527]) ).
fof(f527,plain,
( spl0_53
<=> ! [X0] :
( sk2 = X0
| ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f246,plain,
! [X0] :
( sk2 = X0
| ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0 ),
inference(forward_demodulation,[],[f109,f190]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause109) ).
fof(f522,plain,
spl0_52,
inference(avatar_split_clause,[],[f250,f520]) ).
fof(f520,plain,
( spl0_52
<=> ! [X0,X1] :
( sk2 != X0
| ~ ssItem(X1)
| ~ ssList(X0)
| totalorderedP(cons(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f250,plain,
! [X0,X1] :
( sk2 != X0
| ~ ssItem(X1)
| ~ ssList(X0)
| totalorderedP(cons(X1,X0)) ),
inference(forward_demodulation,[],[f113,f190]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause113) ).
fof(f518,plain,
spl0_51,
inference(avatar_split_clause,[],[f249,f516]) ).
fof(f516,plain,
( spl0_51
<=> ! [X0,X1] :
( sk2 != X0
| ~ ssItem(X1)
| ~ ssList(X0)
| strictorderedP(cons(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f249,plain,
! [X0,X1] :
( sk2 != X0
| ~ ssItem(X1)
| ~ ssList(X0)
| strictorderedP(cons(X1,X0)) ),
inference(forward_demodulation,[],[f112,f190]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause112) ).
fof(f514,plain,
spl0_50,
inference(avatar_split_clause,[],[f248,f512]) ).
fof(f512,plain,
( spl0_50
<=> ! [X0,X1] :
( cons(X0,sk2) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f248,plain,
! [X0,X1] :
( cons(X0,sk2) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
inference(forward_demodulation,[],[f116,f190]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause116) ).
fof(f510,plain,
spl0_49,
inference(avatar_split_clause,[],[f227,f508]) ).
fof(f508,plain,
( spl0_49
<=> ! [X0] :
( cons(skaf44(X0),sk2) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f227,plain,
! [X0] :
( cons(skaf44(X0),sk2) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f101,f190]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause101) ).
fof(f506,plain,
( spl0_48
| ~ spl0_5
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f431,f422,f291,f503]) ).
fof(f503,plain,
( spl0_48
<=> sk5 = app(sk5,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f422,plain,
( spl0_33
<=> ! [X0] :
( app(X0,sk2) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f431,plain,
( sk5 = app(sk5,sk2)
| ~ spl0_5
| ~ spl0_33 ),
inference(resolution,[],[f423,f293]) ).
fof(f423,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sk2) = X0 )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f501,plain,
spl0_47,
inference(avatar_split_clause,[],[f228,f499]) ).
fof(f499,plain,
( spl0_47
<=> ! [X0,X1] :
( cons(X0,X1) != sk2
| ~ ssItem(X0)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f228,plain,
! [X0,X1] :
( cons(X0,X1) != sk2
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(forward_demodulation,[],[f98,f190]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause98) ).
fof(f497,plain,
spl0_46,
inference(avatar_split_clause,[],[f10,f494]) ).
fof(f494,plain,
( spl0_46
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause10) ).
fof(f492,plain,
spl0_45,
inference(avatar_split_clause,[],[f9,f489]) ).
fof(f489,plain,
( spl0_45
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause9) ).
fof(f481,plain,
( spl0_44
| ~ spl0_2
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f430,f422,f274,f478]) ).
fof(f478,plain,
( spl0_44
<=> sk2 = app(sk2,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f274,plain,
( spl0_2
<=> ssList(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f430,plain,
( sk2 = app(sk2,sk2)
| ~ spl0_2
| ~ spl0_33 ),
inference(resolution,[],[f423,f276]) ).
fof(f276,plain,
( ssList(sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f471,plain,
spl0_43,
inference(avatar_split_clause,[],[f244,f469]) ).
fof(f469,plain,
( spl0_43
<=> ! [X0] :
( sk2 = X0
| ~ ssList(X0)
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f244,plain,
! [X0] :
( sk2 = X0
| ~ ssList(X0)
| ssList(tl(X0)) ),
inference(forward_demodulation,[],[f75,f190]) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause75) ).
fof(f467,plain,
spl0_42,
inference(avatar_split_clause,[],[f242,f465]) ).
fof(f465,plain,
( spl0_42
<=> ! [X0] :
( sk2 = X0
| ~ ssList(X0)
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f242,plain,
! [X0] :
( sk2 = X0
| ~ ssList(X0)
| ssItem(hd(X0)) ),
inference(forward_demodulation,[],[f78,f190]) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause78) ).
fof(f463,plain,
spl0_41,
inference(avatar_split_clause,[],[f241,f461]) ).
fof(f461,plain,
( spl0_41
<=> ! [X0] :
( sk2 = X0
| ~ frontsegP(sk2,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f241,plain,
! [X0] :
( sk2 = X0
| ~ frontsegP(sk2,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f240,f190]) ).
fof(f240,plain,
! [X0] :
( ~ frontsegP(sk2,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_demodulation,[],[f84,f190]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause84) ).
fof(f459,plain,
spl0_40,
inference(avatar_split_clause,[],[f239,f457]) ).
fof(f457,plain,
( spl0_40
<=> ! [X0] :
( sk2 = X0
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f239,plain,
! [X0] :
( sk2 = X0
| ~ segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f238,f190]) ).
fof(f238,plain,
! [X0] :
( ~ segmentP(sk2,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_demodulation,[],[f80,f190]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause80) ).
fof(f455,plain,
spl0_39,
inference(avatar_split_clause,[],[f237,f453]) ).
fof(f453,plain,
( spl0_39
<=> ! [X0] :
( sk2 = X0
| ~ rearsegP(sk2,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f237,plain,
! [X0] :
( sk2 = X0
| ~ rearsegP(sk2,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f236,f190]) ).
fof(f236,plain,
! [X0] :
( ~ rearsegP(sk2,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_demodulation,[],[f82,f190]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause82) ).
fof(f451,plain,
spl0_38,
inference(avatar_split_clause,[],[f235,f449]) ).
fof(f449,plain,
( spl0_38
<=> ! [X0] :
( frontsegP(sk2,X0)
| sk2 != X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f235,plain,
! [X0] :
( frontsegP(sk2,X0)
| sk2 != X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f234,f190]) ).
fof(f234,plain,
! [X0] :
( sk2 != X0
| ~ ssList(X0)
| frontsegP(nil,X0) ),
inference(forward_demodulation,[],[f83,f190]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause83) ).
fof(f447,plain,
( spl0_37
| ~ spl0_1
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f429,f422,f269,f444]) ).
fof(f429,plain,
( sk1 = app(sk1,sk2)
| ~ spl0_1
| ~ spl0_33 ),
inference(resolution,[],[f423,f271]) ).
fof(f442,plain,
spl0_36,
inference(avatar_split_clause,[],[f233,f440]) ).
fof(f440,plain,
( spl0_36
<=> ! [X0] :
( segmentP(sk2,X0)
| sk2 != X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f233,plain,
! [X0] :
( segmentP(sk2,X0)
| sk2 != X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f232,f190]) ).
fof(f232,plain,
! [X0] :
( sk2 != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
inference(forward_demodulation,[],[f79,f190]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause79) ).
fof(f438,plain,
spl0_35,
inference(avatar_split_clause,[],[f231,f436]) ).
fof(f436,plain,
( spl0_35
<=> ! [X0] :
( rearsegP(sk2,X0)
| sk2 != X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f231,plain,
! [X0] :
( rearsegP(sk2,X0)
| sk2 != X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f230,f190]) ).
fof(f230,plain,
! [X0] :
( sk2 != X0
| ~ ssList(X0)
| rearsegP(nil,X0) ),
inference(forward_demodulation,[],[f81,f190]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause81) ).
fof(f428,plain,
spl0_34,
inference(avatar_split_clause,[],[f226,f426]) ).
fof(f226,plain,
! [X0] :
( app(sk2,X0) = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f74,f190]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause74) ).
fof(f424,plain,
spl0_33,
inference(avatar_split_clause,[],[f225,f422]) ).
fof(f225,plain,
! [X0] :
( app(X0,sk2) = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f73,f190]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause73) ).
fof(f420,plain,
spl0_32,
inference(avatar_split_clause,[],[f221,f418]) ).
fof(f418,plain,
( spl0_32
<=> ! [X0] :
( totalorderedP(cons(X0,sk2))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f221,plain,
! [X0] :
( totalorderedP(cons(X0,sk2))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f67,f190]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause67) ).
fof(f416,plain,
spl0_31,
inference(avatar_split_clause,[],[f220,f414]) ).
fof(f414,plain,
( spl0_31
<=> ! [X0] :
( strictorderedP(cons(X0,sk2))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f220,plain,
! [X0] :
( strictorderedP(cons(X0,sk2))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f66,f190]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause66) ).
fof(f412,plain,
spl0_30,
inference(avatar_split_clause,[],[f219,f410]) ).
fof(f410,plain,
( spl0_30
<=> ! [X0] :
( cyclefreeP(cons(X0,sk2))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f219,plain,
! [X0] :
( cyclefreeP(cons(X0,sk2))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f70,f190]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause70) ).
fof(f408,plain,
spl0_29,
inference(avatar_split_clause,[],[f218,f406]) ).
fof(f406,plain,
( spl0_29
<=> ! [X0] :
( totalorderP(cons(X0,sk2))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f218,plain,
! [X0] :
( totalorderP(cons(X0,sk2))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f69,f190]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause69) ).
fof(f404,plain,
spl0_28,
inference(avatar_split_clause,[],[f217,f402]) ).
fof(f402,plain,
( spl0_28
<=> ! [X0] :
( strictorderP(cons(X0,sk2))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f217,plain,
! [X0] :
( strictorderP(cons(X0,sk2))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f68,f190]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause68) ).
fof(f400,plain,
spl0_27,
inference(avatar_split_clause,[],[f216,f398]) ).
fof(f398,plain,
( spl0_27
<=> ! [X0] :
( equalelemsP(cons(X0,sk2))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f216,plain,
! [X0] :
( equalelemsP(cons(X0,sk2))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f64,f190]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause64) ).
fof(f396,plain,
spl0_26,
inference(avatar_split_clause,[],[f215,f394]) ).
fof(f394,plain,
( spl0_26
<=> ! [X0] :
( duplicatefreeP(cons(X0,sk2))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f215,plain,
! [X0] :
( duplicatefreeP(cons(X0,sk2))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f65,f190]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause65) ).
fof(f392,plain,
( ~ spl0_25
| ~ spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f366,f362,f347,f389]) ).
fof(f347,plain,
( spl0_16
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f362,plain,
( spl0_19
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f366,plain,
( sk1 != sk2
| ~ spl0_16
| spl0_19 ),
inference(superposition,[],[f364,f349]) ).
fof(f349,plain,
( nil = sk2
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f364,plain,
( nil != sk1
| spl0_19 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f387,plain,
spl0_24,
inference(avatar_split_clause,[],[f224,f385]) ).
fof(f385,plain,
( spl0_24
<=> ! [X0] :
( rearsegP(X0,sk2)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f224,plain,
! [X0] :
( rearsegP(X0,sk2)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f58,f190]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause58) ).
fof(f383,plain,
spl0_23,
inference(avatar_split_clause,[],[f223,f381]) ).
fof(f381,plain,
( spl0_23
<=> ! [X0] :
( segmentP(X0,sk2)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f223,plain,
! [X0] :
( segmentP(X0,sk2)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f56,f190]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause56) ).
fof(f379,plain,
spl0_22,
inference(avatar_split_clause,[],[f222,f377]) ).
fof(f377,plain,
( spl0_22
<=> ! [X0] :
( frontsegP(X0,sk2)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f222,plain,
! [X0] :
( frontsegP(X0,sk2)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f60,f190]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause60) ).
fof(f375,plain,
spl0_21,
inference(avatar_split_clause,[],[f214,f373]) ).
fof(f373,plain,
( spl0_21
<=> ! [X0] :
( ~ memberP(sk2,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f214,plain,
! [X0] :
( ~ memberP(sk2,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f71,f190]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause71) ).
fof(f371,plain,
spl0_20,
inference(avatar_split_clause,[],[f200,f368]) ).
fof(f200,plain,
sk2 = app(sk1,sk5),
inference(forward_demodulation,[],[f199,f191]) ).
fof(f191,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_6) ).
fof(f199,plain,
sk4 = app(sk1,sk5),
inference(forward_demodulation,[],[f195,f192]) ).
fof(f192,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_7) ).
fof(f195,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_10) ).
fof(f365,plain,
~ spl0_19,
inference(avatar_split_clause,[],[f193,f362]) ).
fof(f193,axiom,
nil != sk1,
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_8) ).
fof(f360,plain,
spl0_18,
inference(avatar_split_clause,[],[f192,f357]) ).
fof(f357,plain,
( spl0_18
<=> sk1 = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f355,plain,
spl0_17,
inference(avatar_split_clause,[],[f191,f352]) ).
fof(f352,plain,
( spl0_17
<=> sk2 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f350,plain,
spl0_16,
inference(avatar_split_clause,[],[f190,f347]) ).
fof(f345,plain,
( spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f300,f296,f342]) ).
fof(f342,plain,
( spl0_15
<=> totalorderedP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f296,plain,
( spl0_6
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f300,plain,
( totalorderedP(sk1)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f298,f192]) ).
fof(f298,plain,
( totalorderedP(sk3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f340,plain,
spl0_14,
inference(avatar_split_clause,[],[f212,f337]) ).
fof(f337,plain,
( spl0_14
<=> totalorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f212,plain,
totalorderedP(sk2),
inference(forward_demodulation,[],[f4,f190]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause4) ).
fof(f335,plain,
spl0_13,
inference(avatar_split_clause,[],[f211,f332]) ).
fof(f332,plain,
( spl0_13
<=> strictorderedP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f211,plain,
strictorderedP(sk2),
inference(forward_demodulation,[],[f3,f190]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause3) ).
fof(f330,plain,
spl0_12,
inference(avatar_split_clause,[],[f210,f327]) ).
fof(f327,plain,
( spl0_12
<=> strictorderP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f210,plain,
strictorderP(sk2),
inference(forward_demodulation,[],[f5,f190]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause5) ).
fof(f325,plain,
spl0_11,
inference(avatar_split_clause,[],[f209,f322]) ).
fof(f322,plain,
( spl0_11
<=> cyclefreeP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f209,plain,
cyclefreeP(sk2),
inference(forward_demodulation,[],[f7,f190]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause7) ).
fof(f320,plain,
spl0_10,
inference(avatar_split_clause,[],[f208,f317]) ).
fof(f317,plain,
( spl0_10
<=> totalorderP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f208,plain,
totalorderP(sk2),
inference(forward_demodulation,[],[f6,f190]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause6) ).
fof(f315,plain,
spl0_9,
inference(avatar_split_clause,[],[f207,f312]) ).
fof(f312,plain,
( spl0_9
<=> duplicatefreeP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f207,plain,
duplicatefreeP(sk2),
inference(forward_demodulation,[],[f2,f190]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause2) ).
fof(f310,plain,
spl0_8,
inference(avatar_split_clause,[],[f206,f307]) ).
fof(f307,plain,
( spl0_8
<=> equalelemsP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f206,plain,
equalelemsP(sk2),
inference(forward_demodulation,[],[f1,f190]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause1) ).
fof(f305,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f205,f302]) ).
fof(f302,plain,
( spl0_7
<=> singletonP(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f205,plain,
~ singletonP(sk2),
inference(forward_demodulation,[],[f11,f190]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',clause11) ).
fof(f299,plain,
spl0_6,
inference(avatar_split_clause,[],[f196,f296]) ).
fof(f196,axiom,
totalorderedP(sk3),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_11) ).
fof(f294,plain,
spl0_5,
inference(avatar_split_clause,[],[f194,f291]) ).
fof(f194,axiom,
ssList(sk5),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_9) ).
fof(f288,plain,
spl0_4,
inference(avatar_split_clause,[],[f189,f285]) ).
fof(f285,plain,
( spl0_4
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_4) ).
fof(f282,plain,
spl0_3,
inference(avatar_split_clause,[],[f188,f279]) ).
fof(f279,plain,
( spl0_3
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_3) ).
fof(f277,plain,
spl0_2,
inference(avatar_split_clause,[],[f187,f274]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_2) ).
fof(f272,plain,
spl0_1,
inference(avatar_split_clause,[],[f186,f269]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.oKO5jRCWYI/Vampire---4.8_29690',co1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWC042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.10/0.33 % Computer : n032.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Wed Aug 30 17:16:32 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.36 % (29799)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.37 % (29800)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.10/0.37 % (29804)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.10/0.37 % (29809)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.10/0.37 % (29803)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.10/0.37 % (29802)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.10/0.37 % (29808)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.10/0.37 % (29805)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.10/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (29805)First to succeed.
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (29805)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for Vampire---4
% 0.15/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.39 % (29805)------------------------------
% 0.15/0.39 % (29805)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.39 % (29805)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.39 % (29805)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (29805)Memory used [KB]: 6140
% 0.15/0.39 % (29805)Time elapsed: 0.018 s
% 0.15/0.39 % (29805)------------------------------
% 0.15/0.39 % (29805)------------------------------
% 0.15/0.39 % (29799)Success in time 0.062 s
% 0.15/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------