TSTP Solution File: NUM609+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM609+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 May 21 02:10:40 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 70 ( 12 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 78 ( 23 ~; 14 |; 33 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 13 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1089,plain,
$false,
inference(subsumption_resolution,[],[f1088,f565]) ).
fof(f565,plain,
~ aElementOf0(sK48,xQ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
( ~ aSubsetOf0(xP,xQ)
& ~ aElementOf0(sK48,xQ)
& aElementOf0(sK48,xP) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f131,f332]) ).
fof(f332,plain,
( ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK48,xQ)
& aElementOf0(sK48,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ~ aSubsetOf0(xP,xQ)
& ? [X0] :
( ~ aElementOf0(X0,xQ)
& aElementOf0(X0,xP) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,negated_conjecture,
~ ( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
inference(negated_conjecture,[],[f107]) ).
fof(f107,conjecture,
( aSubsetOf0(xP,xQ)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xQ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f1088,plain,
aElementOf0(sK48,xQ),
inference(resolution,[],[f662,f564]) ).
fof(f564,plain,
aElementOf0(sK48,xP),
inference(cnf_transformation,[],[f333]) ).
fof(f662,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(flattening,[],[f372]) ).
fof(f372,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( ( aElementOf0(X0,xP)
| szmzizndt0(xQ) = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& aSet0(xP) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& aSet0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM609+3 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 20 07:26:38 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % (28039)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (28042)WARNING: value z3 for option sas not known
% 0.13/0.36 % (28043)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (28041)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (28040)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 % (28042)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)
% 0.13/0.36 % (28045)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)
% 0.13/0.36 % (28044)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)
% 0.13/0.36 % (28046)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)
% 0.13/0.38 % (28042)First to succeed.
% 0.13/0.38 % (28042)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28039"
% 0.13/0.38 % (28045)Also succeeded, but the first one will report.
% 0.13/0.39 % (28042)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (28042)------------------------------
% 0.13/0.39 % (28042)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (28042)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (28042)Memory used [KB]: 1621
% 0.13/0.39 % (28042)Time elapsed: 0.024 s
% 0.13/0.39 % (28042)Instructions burned: 38 (million)
% 0.13/0.39 % (28039)Success in time 0.037 s
%------------------------------------------------------------------------------