TSTP Solution File: SWC171-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC171-1 : 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 : n018.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 20:57:09 EDT 2023
% Result : Unsatisfiable 0.23s 0.56s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 46
% Syntax : Number of formulae : 163 ( 16 unt; 0 def)
% Number of atoms : 606 ( 62 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 877 ( 434 ~; 426 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 18 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 79 (; 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6656,plain,
$false,
inference(avatar_sat_refutation,[],[f251,f258,f265,f320,f412,f547,f554,f749,f1091,f1114,f1207,f1281,f1321,f1577,f2605,f2962,f4877,f6538]) ).
fof(f6538,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_34
| ~ spl0_39
| ~ spl0_58
| ~ spl0_72
| ~ spl0_80
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f6537]) ).
fof(f6537,plain,
( $false
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_34
| ~ spl0_39
| ~ spl0_58
| ~ spl0_72
| ~ spl0_80
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f6536,f1604]) ).
fof(f1604,plain,
( leq(sk5,sk5)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f1603,plain,
( spl0_93
<=> leq(sk5,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f6536,plain,
( ~ leq(sk5,sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_34
| ~ spl0_39
| ~ spl0_58
| ~ spl0_72
| ~ spl0_80
| ~ spl0_93 ),
inference(forward_demodulation,[],[f6535,f2944]) ).
fof(f2944,plain,
( sk5 = sk9
| ~ spl0_14
| ~ spl0_18
| ~ spl0_39
| ~ spl0_72 ),
inference(subsumption_resolution,[],[f2943,f192]) ).
fof(f192,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_7) ).
fof(f2943,plain,
( sk5 = sk9
| ~ ssItem(sk5)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_39
| ~ spl0_72 ),
inference(resolution,[],[f2939,f1280]) ).
fof(f1280,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| sk9 = X3
| ~ ssItem(X3) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1279,plain,
( spl0_72
<=> ! [X3] :
( ~ memberP(sk1,X3)
| sk9 = X3
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f2939,plain,
( memberP(sk1,sk5)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f2938,f192]) ).
fof(f2938,plain,
( memberP(sk1,sk5)
| ~ ssItem(sk5)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f2937,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause8) ).
fof(f2937,plain,
( memberP(sk1,sk5)
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f2936,f370]) ).
fof(f370,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl0_14
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f2936,plain,
( memberP(sk1,sk5)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_18
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f2925,f406]) ).
fof(f406,plain,
( ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f405,plain,
( spl0_18
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f2925,plain,
( memberP(sk1,sk5)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_39 ),
inference(resolution,[],[f1113,f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause175) ).
fof(f1113,plain,
( ! [X3] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X3)
| memberP(sk1,X3) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1112,plain,
( spl0_39
<=> ! [X3] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X3)
| memberP(sk1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f6535,plain,
( ~ leq(sk9,sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_34
| ~ spl0_39
| ~ spl0_58
| ~ spl0_72
| ~ spl0_80
| ~ spl0_93 ),
inference(subsumption_resolution,[],[f6534,f1604]) ).
fof(f6534,plain,
( ~ leq(sk5,sk5)
| ~ leq(sk9,sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18
| ~ spl0_34
| ~ spl0_39
| ~ spl0_58
| ~ spl0_72
| ~ spl0_80 ),
inference(forward_demodulation,[],[f6533,f2944]) ).
fof(f6533,plain,
( ~ leq(sk5,sk9)
| ~ leq(sk9,sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_34
| ~ spl0_58
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f6532,f192]) ).
fof(f6532,plain,
( ~ leq(sk5,sk9)
| ~ leq(sk9,sk5)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_34
| ~ spl0_58
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f6531,f1320]) ).
fof(f1320,plain,
( cyclefreeP(sk1)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl0_80
<=> cyclefreeP(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f6531,plain,
( ~ leq(sk5,sk9)
| ~ leq(sk9,sk5)
| ~ cyclefreeP(sk1)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_34
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f6530,f194]) ).
fof(f194,axiom,
ssList(sk7),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_9) ).
fof(f6530,plain,
( ~ leq(sk5,sk9)
| ~ leq(sk9,sk5)
| ~ ssList(sk7)
| ~ cyclefreeP(sk1)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_34
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f6529,f195]) ).
fof(f195,axiom,
ssList(sk8),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_10) ).
fof(f6529,plain,
( ~ leq(sk5,sk9)
| ~ leq(sk9,sk5)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ cyclefreeP(sk1)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_34
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f6484,f186]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_1) ).
fof(f6484,plain,
( ~ ssList(sk1)
| ~ leq(sk5,sk9)
| ~ leq(sk9,sk5)
| ~ ssList(sk8)
| ~ ssList(sk7)
| ~ cyclefreeP(sk1)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_34
| ~ spl0_58 ),
inference(superposition,[],[f1206,f5343]) ).
fof(f5343,plain,
( sk1 = app(app(sk7,sk1),cons(sk5,sk8))
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_34 ),
inference(forward_demodulation,[],[f2835,f921]) ).
fof(f921,plain,
( sk1 = cons(sk5,nil)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f919,plain,
( spl0_34
<=> sk1 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2835,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),cons(sk5,sk8))
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f2834,f192]) ).
fof(f2834,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),cons(sk5,sk8))
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f2809,f195]) ).
fof(f2809,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),cons(sk5,sk8))
| ~ ssList(sk8)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f746,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause120) ).
fof(f746,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f745,f361]) ).
fof(f361,plain,
( ssList(cons(sk5,nil))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl0_13
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f745,plain,
( ~ ssList(cons(sk5,nil))
| sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f730,f312]) ).
fof(f312,plain,
( sk5 = sk6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl0_10
<=> sk5 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f730,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ ssList(cons(sk6,nil))
| ~ spl0_10
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f365,f370]) ).
fof(f365,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk5,nil),sk8))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ spl0_10 ),
inference(forward_demodulation,[],[f364,f312]) ).
fof(f364,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil)) ),
inference(subsumption_resolution,[],[f327,f195]) ).
fof(f327,plain,
( sk1 = app(app(sk7,cons(sk5,nil)),app(cons(sk6,nil),sk8))
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk8) ),
inference(superposition,[],[f196,f149]) ).
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.ICIgErQzpb/Vampire---4.8_2748',clause149) ).
fof(f196,axiom,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_11) ).
fof(f1206,plain,
( ! [X40,X41,X39] :
( ~ ssList(app(app(X39,sk1),cons(X40,X41)))
| ~ leq(X40,sk9)
| ~ leq(sk9,X40)
| ~ ssList(X41)
| ~ ssList(X39)
| ~ cyclefreeP(app(app(X39,sk1),cons(X40,X41)))
| ~ ssItem(X40) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl0_58
<=> ! [X41,X40,X39] :
( ~ ssList(app(app(X39,sk1),cons(X40,X41)))
| ~ leq(X40,sk9)
| ~ leq(sk9,X40)
| ~ ssList(X41)
| ~ ssList(X39)
| ~ cyclefreeP(app(app(X39,sk1),cons(X40,X41)))
| ~ ssItem(X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f4877,plain,
spl0_93,
inference(avatar_contradiction_clause,[],[f4876]) ).
fof(f4876,plain,
( $false
| spl0_93 ),
inference(subsumption_resolution,[],[f4875,f192]) ).
fof(f4875,plain,
( ~ ssItem(sk5)
| spl0_93 ),
inference(resolution,[],[f1605,f62]) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause62) ).
fof(f1605,plain,
( ~ leq(sk5,sk5)
| spl0_93 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f2962,plain,
( spl0_34
| ~ spl0_5
| ~ spl0_14
| ~ spl0_18
| ~ spl0_39
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f2947,f1279,f1112,f405,f369,f262,f919]) ).
fof(f262,plain,
( spl0_5
<=> sk1 = cons(sk9,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2947,plain,
( sk1 = cons(sk5,nil)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_18
| ~ spl0_39
| ~ spl0_72 ),
inference(superposition,[],[f264,f2944]) ).
fof(f264,plain,
( sk1 = cons(sk9,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f2605,plain,
( spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f2604,f405,f293]) ).
fof(f293,plain,
( spl0_7
<=> ! [X0] : ssItem(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2604,plain,
( ! [X0] : ssItem(X0)
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f1563,f1574]) ).
fof(f1574,plain,
( ~ duplicatefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f1573,f8]) ).
fof(f1573,plain,
( ~ duplicatefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f1572,f194]) ).
fof(f1572,plain,
( ~ duplicatefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f1571,f192]) ).
fof(f1571,plain,
( ~ ssItem(sk5)
| ~ duplicatefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1557]) ).
fof(f1557,plain,
( ~ ssItem(sk5)
| ~ duplicatefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ spl0_18 ),
inference(resolution,[],[f406,f222]) ).
fof(f222,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.ICIgErQzpb/Vampire---4.8_2748',clause179) ).
fof(f1563,plain,
( ! [X0] :
( duplicatefreeP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ssItem(X0) )
| ~ spl0_18 ),
inference(resolution,[],[f406,f72]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause72) ).
fof(f1577,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1576,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1575,f2]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause2) ).
fof(f1575,plain,
( ~ duplicatefreeP(nil)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1574,f411]) ).
fof(f411,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk5,nil))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl0_19
<=> nil = app(app(sk7,cons(sk5,nil)),cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f1321,plain,
( ~ spl0_1
| spl0_80
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f756,f262,f1318,f238]) ).
fof(f238,plain,
( spl0_1
<=> ssItem(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f756,plain,
( cyclefreeP(sk1)
| ~ ssItem(sk9)
| ~ spl0_5 ),
inference(superposition,[],[f70,f264]) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause70) ).
fof(f1281,plain,
( ~ spl0_1
| spl0_72
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1277,f262,f1279,f238]) ).
fof(f1277,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk9 = X3
| ~ ssItem(sk9) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f1276,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause71) ).
fof(f1276,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| sk9 = X3
| memberP(nil,X3)
| ~ ssItem(sk9) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f772,f8]) ).
fof(f772,plain,
( ! [X3] :
( ~ memberP(sk1,X3)
| ~ ssItem(X3)
| ~ ssList(nil)
| sk9 = X3
| memberP(nil,X3)
| ~ ssItem(sk9) )
| ~ spl0_5 ),
inference(superposition,[],[f161,f264]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause161) ).
fof(f1207,plain,
( ~ spl0_1
| spl0_58
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1203,f262,f1205,f238]) ).
fof(f1203,plain,
( ! [X40,X41,X39] :
( ~ ssList(app(app(X39,sk1),cons(X40,X41)))
| ~ ssItem(sk9)
| ~ ssItem(X40)
| ~ cyclefreeP(app(app(X39,sk1),cons(X40,X41)))
| ~ ssList(X39)
| ~ ssList(X41)
| ~ leq(sk9,X40)
| ~ leq(X40,sk9) )
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f789,f8]) ).
fof(f789,plain,
( ! [X40,X41,X39] :
( ~ ssList(app(app(X39,sk1),cons(X40,X41)))
| ~ ssItem(sk9)
| ~ ssItem(X40)
| ~ cyclefreeP(app(app(X39,sk1),cons(X40,X41)))
| ~ ssList(X39)
| ~ ssList(nil)
| ~ ssList(X41)
| ~ leq(sk9,X40)
| ~ leq(X40,sk9) )
| ~ spl0_5 ),
inference(superposition,[],[f227,f264]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause185) ).
fof(f1114,plain,
( ~ spl0_18
| spl0_39
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1110,f310,f293,f1112,f405]) ).
fof(f1110,plain,
( ! [X3] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),X3)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| memberP(sk1,X3) )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f709,f312]) ).
fof(f709,plain,
( ! [X3] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| memberP(sk1,X3)
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X3) )
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f447,f312]) ).
fof(f447,plain,
( ! [X3] :
( memberP(sk1,X3)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X3) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f446,f294]) ).
fof(f294,plain,
( ! [X0] : ssItem(X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f446,plain,
! [X3] :
( memberP(sk1,X3)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X3)
| ~ ssItem(X3) ),
inference(subsumption_resolution,[],[f337,f195]) ).
fof(f337,plain,
! [X3] :
( memberP(sk1,X3)
| ~ ssList(sk8)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X3)
| ~ ssItem(X3) ),
inference(superposition,[],[f140,f196]) ).
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.ICIgErQzpb/Vampire---4.8_2748',clause140) ).
fof(f1091,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f1090]) ).
fof(f1090,plain,
( $false
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(subsumption_resolution,[],[f1089,f361]) ).
fof(f1089,plain,
( ~ ssList(cons(sk5,nil))
| ~ spl0_14
| spl0_18 ),
inference(subsumption_resolution,[],[f1086,f370]) ).
fof(f1086,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| spl0_18 ),
inference(resolution,[],[f407,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause85) ).
fof(f407,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| spl0_18 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f749,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f747,f294]) ).
fof(f747,plain,
( ~ ssItem(sk9)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f742,f71]) ).
fof(f742,plain,
( memberP(nil,sk9)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f257,f250]) ).
fof(f250,plain,
( nil = sk2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl0_3
<=> nil = sk2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f257,plain,
( memberP(sk2,sk9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_4
<=> memberP(sk2,sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f554,plain,
( ~ spl0_13
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl0_13
| spl0_14 ),
inference(subsumption_resolution,[],[f552,f361]) ).
fof(f552,plain,
( ~ ssList(cons(sk5,nil))
| spl0_14 ),
inference(subsumption_resolution,[],[f551,f194]) ).
fof(f551,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_14 ),
inference(resolution,[],[f371,f85]) ).
fof(f371,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_14 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f547,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| spl0_13 ),
inference(subsumption_resolution,[],[f545,f192]) ).
fof(f545,plain,
( ~ ssItem(sk5)
| spl0_13 ),
inference(subsumption_resolution,[],[f544,f8]) ).
fof(f544,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_13 ),
inference(resolution,[],[f362,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause86) ).
fof(f362,plain,
( ~ ssList(cons(sk5,nil))
| spl0_13 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f412,plain,
( ~ spl0_18
| spl0_19
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f403,f310,f242,f409,f405]) ).
fof(f242,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f403,plain,
( nil = app(app(sk7,cons(sk5,nil)),cons(sk5,nil))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f402,f312]) ).
fof(f402,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ spl0_2
| ~ spl0_10 ),
inference(forward_demodulation,[],[f401,f312]) ).
fof(f401,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f400,f195]) ).
fof(f400,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ ssList(sk8)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f332,f244]) ).
fof(f244,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f332,plain,
( nil != sk1
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| nil = app(app(sk7,cons(sk5,nil)),cons(sk6,nil))
| ~ ssList(sk8) ),
inference(superposition,[],[f118,f196]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause118) ).
fof(f320,plain,
spl0_10,
inference(avatar_split_clause,[],[f319,f310]) ).
fof(f319,plain,
sk5 = sk6,
inference(subsumption_resolution,[],[f318,f192]) ).
fof(f318,plain,
( sk5 = sk6
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f304,f193]) ).
fof(f193,axiom,
ssItem(sk6),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_8) ).
fof(f304,plain,
( ~ ssItem(sk6)
| sk5 = sk6
| ~ ssItem(sk5) ),
inference(resolution,[],[f197,f102]) ).
fof(f102,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X0)
| X0 = X1
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',clause102) ).
fof(f197,axiom,
~ neq(sk5,sk6),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_12) ).
fof(f265,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f260,f262,f242]) ).
fof(f260,plain,
( sk1 = cons(sk9,nil)
| nil = sk1 ),
inference(forward_demodulation,[],[f259,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_6) ).
fof(f259,plain,
( nil = sk1
| sk3 = cons(sk9,nil) ),
inference(forward_demodulation,[],[f203,f191]) ).
fof(f203,axiom,
( nil = sk3
| sk3 = cons(sk9,nil) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_18) ).
fof(f258,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f253,f255,f242]) ).
fof(f253,plain,
( memberP(sk2,sk9)
| nil = sk1 ),
inference(forward_demodulation,[],[f252,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_5) ).
fof(f252,plain,
( nil = sk1
| memberP(sk4,sk9) ),
inference(forward_demodulation,[],[f204,f191]) ).
fof(f204,axiom,
( nil = sk3
| memberP(sk4,sk9) ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_19) ).
fof(f251,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f246,f248,f238]) ).
fof(f246,plain,
( nil = sk2
| ssItem(sk9) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f198,axiom,
( ssItem(sk9)
| nil = sk4 ),
file('/export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWC171-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n018.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 15:11:32 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ICIgErQzpb/Vampire---4.8_2748
% 0.16/0.38 % (3047)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (3055)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.44 % (3052)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)
% 0.23/0.44 % (3056)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)
% 0.23/0.44 % (3054)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)
% 0.23/0.44 % (3057)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)
% 0.23/0.44 % (3053)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.44 % (3058)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.55 % (3058)First to succeed.
% 0.23/0.56 % (3058)Refutation found. Thanks to Tanya!
% 0.23/0.56 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.56 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.56 % (3058)------------------------------
% 0.23/0.56 % (3058)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.56 % (3058)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.56 % (3058)Termination reason: Refutation
% 0.23/0.56
% 0.23/0.56 % (3058)Memory used [KB]: 8699
% 0.23/0.56 % (3058)Time elapsed: 0.115 s
% 0.23/0.56 % (3058)------------------------------
% 0.23/0.56 % (3058)------------------------------
% 0.23/0.56 % (3047)Success in time 0.17 s
% 0.23/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------