TSTP Solution File: SWC131+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC131+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 : 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 : Sat Sep 2 12:43:40 EDT 2023
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 128 ( 35 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 144 ( 44 ~; 18 |; 66 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 40 (; 16 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1018,plain,
$false,
inference(resolution,[],[f985,f389]) ).
fof(f389,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/tmp/tmp.pDjEPTMmtx/Vampire---4.8_10592',ax60) ).
fof(f985,plain,
~ cyclefreeP(nil),
inference(backward_demodulation,[],[f381,f983]) ).
fof(f983,plain,
nil = sK19,
inference(resolution,[],[f982,f390]) ).
fof(f390,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.pDjEPTMmtx/Vampire---4.8_10592',ax17) ).
fof(f982,plain,
( ~ ssList(nil)
| nil = sK19 ),
inference(resolution,[],[f977,f600]) ).
fof(f600,plain,
ssList(sK19),
inference(forward_demodulation,[],[f377,f378]) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ~ cyclefreeP(sK19)
& ~ neq(sK21,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(X1)
& ~ neq(X3,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(X1)
& ~ neq(X3,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(X1)
& ~ neq(X3,nil)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(sK19)
& ~ neq(X3,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(sK19)
& ~ neq(X3,nil)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ~ cyclefreeP(sK19)
& ~ neq(X3,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ~ cyclefreeP(sK19)
& ~ neq(X3,nil)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ~ cyclefreeP(sK19)
& ~ neq(sK21,nil)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(X1)
& ~ neq(X3,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(X1)
& ~ neq(X3,nil)
& 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)
=> ( cyclefreeP(X1)
| neq(X3,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( cyclefreeP(X1)
| neq(X3,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.pDjEPTMmtx/Vampire---4.8_10592',co1) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f977,plain,
( ~ ssList(sK19)
| ~ ssList(nil)
| nil = sK19 ),
inference(resolution,[],[f570,f599]) ).
fof(f599,plain,
~ neq(sK19,nil),
inference(backward_demodulation,[],[f380,f378]) ).
fof(f380,plain,
~ neq(sK21,nil),
inference(cnf_transformation,[],[f254]) ).
fof(f570,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,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.pDjEPTMmtx/Vampire---4.8_10592',ax15) ).
fof(f381,plain,
~ cyclefreeP(sK19),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWC131+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 30 17:36:06 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.18/0.41 % (10699)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.42 % (10702)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)
% 0.18/0.42 % (10701)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.42 % (10700)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.42 % (10703)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.42 % (10704)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)
% 0.18/0.42 % (10706)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)
% 0.18/0.42 % (10708)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)
% 0.18/0.43 TRYING [1]
% 0.18/0.43 TRYING [1]
% 0.18/0.43 TRYING [2]
% 0.18/0.43 TRYING [2]
% 0.18/0.43 TRYING [3]
% 0.18/0.44 TRYING [3]
% 0.18/0.44 TRYING [1]
% 0.18/0.44 % (10706)First to succeed.
% 0.18/0.44 TRYING [2]
% 0.18/0.45 % (10706)Refutation found. Thanks to Tanya!
% 0.18/0.45 % SZS status Theorem for Vampire---4
% 0.18/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.45 % (10706)------------------------------
% 0.18/0.45 % (10706)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.45 % (10706)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.45 % (10706)Termination reason: Refutation
% 0.18/0.45
% 0.18/0.45 % (10706)Memory used [KB]: 2046
% 0.18/0.45 % (10706)Time elapsed: 0.025 s
% 0.18/0.45 % (10706)------------------------------
% 0.18/0.45 % (10706)------------------------------
% 0.18/0.45 % (10699)Success in time 0.096 s
% 0.18/0.45 10702 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.pDjEPTMmtx/Vampire---4.8_10592
% 0.18/0.45 % (10702)------------------------------
% 0.18/0.45 % (10702)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.45 % (10702)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.45 % (10702)Termination reason: Unknown
% 0.18/0.45 % (10702)Termination phase: Saturation
% 0.18/0.45
% 0.18/0.45 % (10702)Memory used [KB]: 5756
% 0.18/0.45 % (10702)Time elapsed: 0.027 s
% 0.18/0.45 % Vampire---4.8 exiting
% 0.18/0.45 % (10702)------------------------------
% 0.18/0.45 % (10702)------------------------------
%------------------------------------------------------------------------------