TSTP Solution File: SWC276+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC276+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Tue Apr 30 16:15:26 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 9 unt; 0 def)
% Number of atoms : 233 ( 82 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 237 ( 60 ~; 56 |; 102 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 34 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f798,plain,
$false,
inference(avatar_sat_refutation,[],[f661,f785,f797]) ).
fof(f797,plain,
~ spl71_1,
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f796,plain,
( $false
| ~ spl71_1 ),
inference(subsumption_resolution,[],[f793,f399]) ).
fof(f399,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f793,plain,
( ~ totalorderedP(nil)
| ~ spl71_1 ),
inference(superposition,[],[f389,f791]) ).
fof(f791,plain,
( nil = sK20
| ~ spl71_1 ),
inference(subsumption_resolution,[],[f790,f730]) ).
fof(f730,plain,
! [X0] : ~ sP0(nil,X0),
inference(subsumption_resolution,[],[f729,f380]) ).
fof(f380,plain,
! [X0,X1] :
( ssItem(sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0,X1] :
( ( memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f253,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X2] :
( memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
=> ( memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
! [X0,X1] :
( ? [X2] :
( memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
! [X3,X2] :
( ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X3,X2] :
( ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f729,plain,
! [X0] :
( ~ sP0(nil,X0)
| ~ ssItem(sK19(nil,X0)) ),
inference(resolution,[],[f382,f401]) ).
fof(f401,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f382,plain,
! [X0,X1] :
( memberP(X0,sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f790,plain,
( sP0(nil,sK20)
| nil = sK20
| ~ spl71_1 ),
inference(forward_demodulation,[],[f652,f656]) ).
fof(f656,plain,
( nil = sK21
| ~ spl71_1 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl71_1
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl71_1])]) ).
fof(f652,plain,
( sP0(sK21,sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f651,f387]) ).
fof(f387,plain,
sK21 = sK23,
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ~ totalorderedP(sK20)
& sK20 = sK22
& sK21 = sK23
& ssList(sK23)
& ssList(sK22)
& ssList(sK21)
& ssList(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23])],[f224,f259,f258,f257,f256]) ).
fof(f256,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ~ totalorderedP(sK20)
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ~ totalorderedP(sK20)
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ~ totalorderedP(sK20)
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ~ totalorderedP(sK20)
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ~ totalorderedP(sK20)
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ~ totalorderedP(sK20)
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
=> ( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ~ totalorderedP(sK20)
& sK20 = sK22
& sK21 = sK23
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f99,f223]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(X0)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ~ totalorderedP(X0)
& 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)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| totalorderedP(X0)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| totalorderedP(X0)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f651,plain,
( sP0(sK23,sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f650,f388]) ).
fof(f388,plain,
sK20 = sK22,
inference(cnf_transformation,[],[f260]) ).
fof(f650,plain,
( nil = sK20
| sP0(sK23,sK22) ),
inference(forward_demodulation,[],[f391,f388]) ).
fof(f391,plain,
( nil = sK22
| sP0(sK23,sK22) ),
inference(cnf_transformation,[],[f260]) ).
fof(f389,plain,
~ totalorderedP(sK20),
inference(cnf_transformation,[],[f260]) ).
fof(f785,plain,
~ spl71_2,
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f783,f660]) ).
fof(f660,plain,
( sP0(sK21,sK20)
| ~ spl71_2 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl71_2
<=> sP0(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl71_2])]) ).
fof(f783,plain,
( ~ sP0(sK21,sK20)
| ~ spl71_2 ),
inference(resolution,[],[f776,f380]) ).
fof(f776,plain,
( ~ ssItem(sK19(sK21,sK20))
| ~ spl71_2 ),
inference(subsumption_resolution,[],[f771,f389]) ).
fof(f771,plain,
( totalorderedP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl71_2 ),
inference(superposition,[],[f411,f764]) ).
fof(f764,plain,
( sK20 = cons(sK19(sK21,sK20),nil)
| ~ spl71_2 ),
inference(resolution,[],[f381,f660]) ).
fof(f381,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK19(X0,X1),nil) = X1 ),
inference(cnf_transformation,[],[f255]) ).
fof(f411,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f661,plain,
( spl71_1
| spl71_2 ),
inference(avatar_split_clause,[],[f649,f658,f654]) ).
fof(f649,plain,
( sP0(sK21,sK20)
| nil = sK21 ),
inference(forward_demodulation,[],[f648,f387]) ).
fof(f648,plain,
( sP0(sK23,sK20)
| nil = sK21 ),
inference(forward_demodulation,[],[f647,f388]) ).
fof(f647,plain,
( nil = sK21
| sP0(sK23,sK22) ),
inference(forward_demodulation,[],[f390,f387]) ).
fof(f390,plain,
( nil = sK23
| sP0(sK23,sK22) ),
inference(cnf_transformation,[],[f260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC276+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n017.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Apr 30 03:40:19 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 ipcrm: permission denied for id (1402667008)
% 0.15/0.36 ipcrm: permission denied for id (1403158530)
% 0.15/0.36 ipcrm: permission denied for id (1403322371)
% 0.15/0.37 ipcrm: permission denied for id (1404239878)
% 0.15/0.37 ipcrm: permission denied for id (1404469259)
% 0.15/0.38 ipcrm: permission denied for id (1404698638)
% 0.15/0.38 ipcrm: permission denied for id (1404895249)
% 0.15/0.38 ipcrm: permission denied for id (1404960786)
% 0.15/0.38 ipcrm: permission denied for id (1405321235)
% 0.15/0.38 ipcrm: permission denied for id (1406631957)
% 0.15/0.39 ipcrm: permission denied for id (1407909912)
% 0.15/0.39 ipcrm: permission denied for id (1408794650)
% 0.15/0.39 ipcrm: permission denied for id (1409384476)
% 0.15/0.39 ipcrm: permission denied for id (1409843229)
% 0.15/0.40 ipcrm: permission denied for id (1409974302)
% 0.15/0.40 ipcrm: permission denied for id (1410236448)
% 0.15/0.40 ipcrm: permission denied for id (1410859043)
% 0.15/0.40 ipcrm: permission denied for id (1410891812)
% 0.15/0.41 ipcrm: permission denied for id (1411743782)
% 0.15/0.41 ipcrm: permission denied for id (1411874855)
% 0.15/0.41 ipcrm: permission denied for id (1411907625)
% 0.21/0.41 ipcrm: permission denied for id (1412431915)
% 0.21/0.41 ipcrm: permission denied for id (1412628524)
% 0.21/0.42 ipcrm: permission denied for id (1412694062)
% 0.21/0.42 ipcrm: permission denied for id (1412792367)
% 0.21/0.42 ipcrm: permission denied for id (1412759601)
% 0.21/0.43 ipcrm: permission denied for id (1413316663)
% 0.21/0.43 ipcrm: permission denied for id (1413546040)
% 0.21/0.43 ipcrm: permission denied for id (1413808185)
% 0.21/0.43 ipcrm: permission denied for id (1414365245)
% 0.21/0.44 ipcrm: permission denied for id (1413939262)
% 0.21/0.44 ipcrm: permission denied for id (1414004801)
% 0.21/0.44 ipcrm: permission denied for id (1414660163)
% 0.21/0.44 ipcrm: permission denied for id (1414824005)
% 0.21/0.45 ipcrm: permission denied for id (1414725702)
% 0.21/0.45 ipcrm: permission denied for id (1415446601)
% 0.21/0.45 ipcrm: permission denied for id (1415577674)
% 0.21/0.45 ipcrm: permission denied for id (1415741516)
% 0.21/0.45 ipcrm: permission denied for id (1415807053)
% 0.21/0.46 ipcrm: permission denied for id (1415872591)
% 0.21/0.46 ipcrm: permission denied for id (1415970897)
% 0.21/0.46 ipcrm: permission denied for id (1416331346)
% 0.21/0.46 ipcrm: permission denied for id (1416659027)
% 0.21/0.46 ipcrm: permission denied for id (1416396884)
% 0.21/0.47 ipcrm: permission denied for id (1416790103)
% 0.21/0.47 ipcrm: permission denied for id (1417543771)
% 0.21/0.48 ipcrm: permission denied for id (1417740383)
% 0.21/0.48 ipcrm: permission denied for id (1418035298)
% 0.21/0.48 ipcrm: permission denied for id (1419313255)
% 0.21/0.49 ipcrm: permission denied for id (1419378796)
% 0.21/0.49 ipcrm: permission denied for id (1419673709)
% 0.21/0.49 ipcrm: permission denied for id (1420787823)
% 0.21/0.50 ipcrm: permission denied for id (1422033011)
% 0.21/0.50 ipcrm: permission denied for id (1422557303)
% 0.21/0.50 ipcrm: permission denied for id (1422590072)
% 0.21/0.51 ipcrm: permission denied for id (1423310969)
% 0.21/0.51 ipcrm: permission denied for id (1422917755)
% 0.21/0.51 ipcrm: permission denied for id (1424556157)
% 0.21/0.51 ipcrm: permission denied for id (1425080447)
% 0.21/0.51 % (20275)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (20411)WARNING: value z3 for option sas not known
% 0.21/0.53 % (20411)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 theBenchmark for (569ds/0Mi)
% 0.21/0.53 % (20412)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.53 % (20410)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.53 % (20409)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.53 % (20414)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 theBenchmark for (522ds/0Mi)
% 0.21/0.53 % (20413)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 theBenchmark for (531ds/0Mi)
% 0.21/0.53 % (20415)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 theBenchmark for (497ds/0Mi)
% 0.21/0.55 % (20411)First to succeed.
% 0.21/0.55 % (20414)Also succeeded, but the first one will report.
% 0.21/0.55 % (20411)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (20411)------------------------------
% 0.21/0.55 % (20411)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.55 % (20411)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (20411)Memory used [KB]: 1438
% 0.21/0.55 % (20411)Time elapsed: 0.016 s
% 0.21/0.55 % (20411)Instructions burned: 31 (million)
% 0.21/0.55 % (20411)------------------------------
% 0.21/0.55 % (20411)------------------------------
% 0.21/0.55 % (20275)Success in time 0.198 s
%------------------------------------------------------------------------------