TSTP Solution File: SWC110+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC110+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 : Wed May 1 03:59:50 EDT 2024
% Result : Theorem 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 15 unt; 0 def)
% Number of atoms : 239 ( 73 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 278 ( 105 ~; 101 |; 42 &)
% ( 9 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 50 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1210,plain,
$false,
inference(avatar_sat_refutation,[],[f221,f227,f236,f237,f741,f1088,f1092,f1209]) ).
fof(f1209,plain,
( ~ spl16_1
| ~ spl16_2
| ~ spl16_3
| spl16_5 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl16_1
| ~ spl16_2
| ~ spl16_3
| spl16_5 ),
inference(subsumption_resolution,[],[f1207,f1100]) ).
fof(f1100,plain,
( neq(nil,nil)
| ~ spl16_2
| ~ spl16_3 ),
inference(superposition,[],[f225,f220]) ).
fof(f220,plain,
( nil = sK3
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl16_2
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f225,plain,
( neq(sK3,nil)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl16_3
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f1207,plain,
( ~ neq(nil,nil)
| ~ spl16_1
| spl16_5 ),
inference(superposition,[],[f235,f215]) ).
fof(f215,plain,
( nil = sK2
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl16_1
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f235,plain,
( ~ neq(sK2,nil)
| spl16_5 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl16_5
<=> neq(sK2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f1092,plain,
spl16_4,
inference(avatar_split_clause,[],[f1074,f229]) ).
fof(f229,plain,
( spl16_4
<=> segmentP(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f1074,plain,
segmentP(sK3,sK2),
inference(forward_demodulation,[],[f1073,f139]) ).
fof(f139,plain,
sK3 = app(sK2,sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& equalelemsP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) )
| app(cons(X5,nil),X6) != X4
| ~ ssList(X6) )
| ~ ssItem(X5) )
& equalelemsP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X7,cons(X5,nil)) = X2
& ssList(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ equalelemsP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X7,cons(X5,nil)) = X2
& ssList(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ equalelemsP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924',co1) ).
fof(f1073,plain,
segmentP(app(sK2,sK4),sK2),
inference(forward_demodulation,[],[f1031,f367]) ).
fof(f367,plain,
sK2 = app(nil,sK2),
inference(unit_resulting_resolution,[],[f195,f168]) ).
fof(f168,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924',ax28) ).
fof(f195,plain,
ssList(sK2),
inference(definition_unfolding,[],[f147,f144]) ).
fof(f144,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f99]) ).
fof(f147,plain,
ssList(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f1031,plain,
segmentP(app(app(nil,sK2),sK4),sK2),
inference(unit_resulting_resolution,[],[f138,f174,f195,f195,f375,f178]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924',ax56) ).
fof(f375,plain,
segmentP(sK2,sK2),
inference(unit_resulting_resolution,[],[f195,f179]) ).
fof(f179,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924',ax55) ).
fof(f174,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924',ax17) ).
fof(f138,plain,
ssList(sK4),
inference(cnf_transformation,[],[f99]) ).
fof(f1088,plain,
( spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f1087,f218,f214]) ).
fof(f1087,plain,
( nil != sK3
| nil = sK2 ),
inference(subsumption_resolution,[],[f1086,f195]) ).
fof(f1086,plain,
( nil != sK3
| nil = sK2
| ~ ssList(sK2) ),
inference(subsumption_resolution,[],[f1012,f138]) ).
fof(f1012,plain,
( nil != sK3
| ~ ssList(sK4)
| nil = sK2
| ~ ssList(sK2) ),
inference(superposition,[],[f163,f139]) ).
fof(f163,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924',ax83) ).
fof(f741,plain,
( spl16_5
| spl16_1 ),
inference(avatar_split_clause,[],[f740,f214,f233]) ).
fof(f740,plain,
( neq(sK2,nil)
| spl16_1 ),
inference(unit_resulting_resolution,[],[f195,f174,f216,f170]) ).
fof(f170,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924',ax15) ).
fof(f216,plain,
( nil != sK2
| spl16_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f237,plain,
( ~ spl16_4
| ~ spl16_5
| spl16_2 ),
inference(avatar_split_clause,[],[f200,f218,f233,f229]) ).
fof(f200,plain,
( nil = sK3
| ~ neq(sK2,nil)
| ~ segmentP(sK3,sK2) ),
inference(definition_unfolding,[],[f134,f143,f144,f143,f144]) ).
fof(f143,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f99]) ).
fof(f134,plain,
( nil = sK1
| ~ neq(sK0,nil)
| ~ segmentP(sK1,sK0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f236,plain,
( ~ spl16_4
| ~ spl16_5
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f199,f214,f233,f229]) ).
fof(f199,plain,
( nil != sK2
| ~ neq(sK2,nil)
| ~ segmentP(sK3,sK2) ),
inference(definition_unfolding,[],[f135,f144,f144,f143,f144]) ).
fof(f135,plain,
( nil != sK0
| ~ neq(sK0,nil)
| ~ segmentP(sK1,sK0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f227,plain,
( spl16_3
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f198,f214,f223]) ).
fof(f198,plain,
( nil != sK2
| neq(sK3,nil) ),
inference(definition_unfolding,[],[f136,f144,f143]) ).
fof(f136,plain,
( nil != sK0
| neq(sK1,nil) ),
inference(cnf_transformation,[],[f99]) ).
fof(f221,plain,
( ~ spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f141,f218,f214]) ).
fof(f141,plain,
( nil = sK3
| nil != sK2 ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWC110+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:39:10 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.UL0JbLg2jH/Vampire---4.8_4924
% 0.60/0.80 % (5039)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (5035)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (5037)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (5038)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (5040)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (5036)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.80 % (5041)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.80 % (5042)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.82 % (5039)Instruction limit reached!
% 0.60/0.82 % (5039)------------------------------
% 0.60/0.82 % (5039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (5039)Termination reason: Unknown
% 0.60/0.82 % (5039)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (5039)Memory used [KB]: 1964
% 0.60/0.82 % (5039)Time elapsed: 0.017 s
% 0.60/0.82 % (5039)Instructions burned: 34 (million)
% 0.60/0.82 % (5039)------------------------------
% 0.60/0.82 % (5039)------------------------------
% 0.60/0.82 % (5035)Instruction limit reached!
% 0.60/0.82 % (5035)------------------------------
% 0.60/0.82 % (5035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (5035)Termination reason: Unknown
% 0.60/0.82 % (5035)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (5035)Memory used [KB]: 1391
% 0.60/0.82 % (5035)Time elapsed: 0.019 s
% 0.60/0.82 % (5035)Instructions burned: 34 (million)
% 0.60/0.82 % (5035)------------------------------
% 0.60/0.82 % (5035)------------------------------
% 0.60/0.82 % (5038)Instruction limit reached!
% 0.60/0.82 % (5038)------------------------------
% 0.60/0.82 % (5038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (5038)Termination reason: Unknown
% 0.60/0.82 % (5038)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (5038)Memory used [KB]: 1452
% 0.60/0.82 % (5038)Time elapsed: 0.019 s
% 0.60/0.82 % (5038)Instructions burned: 33 (million)
% 0.60/0.82 % (5038)------------------------------
% 0.60/0.82 % (5038)------------------------------
% 0.60/0.82 % (5043)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.82 % (5041)First to succeed.
% 0.60/0.82 % (5044)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.82 % (5045)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.82 % (5040)Instruction limit reached!
% 0.60/0.82 % (5040)------------------------------
% 0.60/0.82 % (5040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (5040)Termination reason: Unknown
% 0.60/0.82 % (5040)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (5040)Memory used [KB]: 1517
% 0.60/0.82 % (5040)Time elapsed: 0.023 s
% 0.60/0.82 % (5040)Instructions burned: 46 (million)
% 0.60/0.82 % (5040)------------------------------
% 0.60/0.82 % (5040)------------------------------
% 0.60/0.82 % (5041)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Theorem for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82 % (5041)------------------------------
% 0.60/0.82 % (5041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (5041)Termination reason: Refutation
% 0.60/0.82
% 0.60/0.82 % (5041)Memory used [KB]: 1429
% 0.60/0.82 % (5041)Time elapsed: 0.022 s
% 0.60/0.82 % (5041)Instructions burned: 43 (million)
% 0.60/0.82 % (5041)------------------------------
% 0.60/0.82 % (5041)------------------------------
% 0.60/0.82 % (5032)Success in time 0.495 s
% 0.60/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------