TSTP Solution File: SWC068+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC068+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 03:59:33 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 58 ( 18 unt; 0 def)
% Number of atoms : 185 ( 52 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 217 ( 90 ~; 78 |; 24 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 52 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f881,plain,
$false,
inference(avatar_sat_refutation,[],[f198,f871,f880]) ).
fof(f880,plain,
( spl10_1
| ~ spl10_2 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f879,plain,
( $false
| spl10_1
| ~ spl10_2 ),
inference(subsumption_resolution,[],[f872,f416]) ).
fof(f416,plain,
( sK2 != app(nil,nil)
| spl10_1 ),
inference(forward_demodulation,[],[f406,f199]) ).
fof(f199,plain,
sK2 = app(sK2,nil),
inference(unit_resulting_resolution,[],[f177,f142]) ).
fof(f142,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209',ax84) ).
fof(f177,plain,
ssList(sK2),
inference(definition_unfolding,[],[f138,f135]) ).
fof(f135,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& X0 = X2
& X1 = X3
& app(X3,X3) = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& X0 = X2
& X1 = X3
& app(X3,X3) = X2
& 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)
=> ( ( nil = X0
& nil = X1 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3
| app(X3,X3) != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X0
& nil = X1 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3
| app(X3,X3) != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209',co1) ).
fof(f138,plain,
ssList(sK0),
inference(cnf_transformation,[],[f99]) ).
fof(f406,plain,
( app(nil,nil) != app(sK2,nil)
| spl10_1 ),
inference(unit_resulting_resolution,[],[f161,f177,f161,f193,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209',ax79) ).
fof(f193,plain,
( nil != sK2
| spl10_1 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl10_1
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f161,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209',ax17) ).
fof(f872,plain,
( sK2 = app(nil,nil)
| ~ spl10_2 ),
inference(superposition,[],[f133,f196]) ).
fof(f196,plain,
( nil = sK3
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl10_2
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f133,plain,
sK2 = app(sK3,sK3),
inference(cnf_transformation,[],[f99]) ).
fof(f871,plain,
spl10_2,
inference(avatar_split_clause,[],[f870,f195]) ).
fof(f870,plain,
nil = sK3,
inference(subsumption_resolution,[],[f869,f178]) ).
fof(f178,plain,
ssList(sK3),
inference(definition_unfolding,[],[f137,f134]) ).
fof(f134,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f99]) ).
fof(f137,plain,
ssList(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f869,plain,
( nil = sK3
| ~ ssList(sK3) ),
inference(subsumption_resolution,[],[f858,f161]) ).
fof(f858,plain,
( ~ ssList(nil)
| nil = sK3
| ~ ssList(sK3) ),
inference(resolution,[],[f854,f153]) ).
fof(f153,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,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/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209',ax15) ).
fof(f854,plain,
~ neq(sK3,nil),
inference(subsumption_resolution,[],[f853,f561]) ).
fof(f561,plain,
segmentP(sK2,sK3),
inference(forward_demodulation,[],[f560,f199]) ).
fof(f560,plain,
segmentP(app(sK2,nil),sK3),
inference(forward_demodulation,[],[f541,f133]) ).
fof(f541,plain,
segmentP(app(app(sK3,sK3),nil),sK3),
inference(unit_resulting_resolution,[],[f161,f178,f178,f178,f308,f165]) ).
fof(f165,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,[],[f119]) ).
fof(f119,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,[],[f118]) ).
fof(f118,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/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209',ax56) ).
fof(f308,plain,
segmentP(sK3,sK3),
inference(unit_resulting_resolution,[],[f178,f166]) ).
fof(f166,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209',ax55) ).
fof(f853,plain,
( ~ neq(sK3,nil)
| ~ segmentP(sK2,sK3) ),
inference(subsumption_resolution,[],[f852,f178]) ).
fof(f852,plain,
( ~ neq(sK3,nil)
| ~ ssList(sK3)
| ~ segmentP(sK2,sK3) ),
inference(duplicate_literal_removal,[],[f848]) ).
fof(f848,plain,
( ~ neq(sK3,nil)
| ~ ssList(sK3)
| ~ segmentP(sK2,sK3)
| ~ ssList(sK3) ),
inference(resolution,[],[f180,f166]) ).
fof(f180,plain,
! [X4] :
( ~ segmentP(sK3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK2,X4) ),
inference(definition_unfolding,[],[f130,f134,f135]) ).
fof(f130,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK1,X4)
| ~ segmentP(sK0,X4) ),
inference(cnf_transformation,[],[f99]) ).
fof(f198,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f179,f195,f191]) ).
fof(f179,plain,
( nil != sK3
| nil != sK2 ),
inference(definition_unfolding,[],[f131,f134,f135]) ).
fof(f131,plain,
( nil != sK1
| nil != sK0 ),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC068+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:16:32 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Rhocun4Obb/Vampire---4.8_15209
% 0.55/0.77 % (15421)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 (2996ds/34Mi)
% 0.55/0.77 % (15423)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 (2996ds/83Mi)
% 0.55/0.77 % (15417)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 (2996ds/34Mi)
% 0.55/0.77 % (15419)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.77 % (15420)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.77 % (15418)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 (2996ds/51Mi)
% 0.55/0.77 % (15422)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.78 % (15424)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 (2996ds/56Mi)
% 0.61/0.78 % (15423)First to succeed.
% 0.61/0.78 % (15421)Instruction limit reached!
% 0.61/0.78 % (15421)------------------------------
% 0.61/0.78 % (15421)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (15421)Termination reason: Unknown
% 0.61/0.78 % (15421)Termination phase: Saturation
% 0.61/0.78
% 0.61/0.78 % (15421)Memory used [KB]: 2106
% 0.61/0.78 % (15421)Time elapsed: 0.012 s
% 0.61/0.78 % (15421)Instructions burned: 36 (million)
% 0.61/0.78 % (15421)------------------------------
% 0.61/0.78 % (15421)------------------------------
% 0.61/0.78 % (15423)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (15423)------------------------------
% 0.61/0.78 % (15423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (15423)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (15423)Memory used [KB]: 1338
% 0.61/0.78 % (15423)Time elapsed: 0.011 s
% 0.61/0.78 % (15423)Instructions burned: 32 (million)
% 0.61/0.78 % (15423)------------------------------
% 0.61/0.78 % (15423)------------------------------
% 0.61/0.78 % (15374)Success in time 0.392 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------