TSTP Solution File: NUM590+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM590+3 : TPTP v8.1.2. 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 : Sun May 5 08:39:17 EDT 2024
% Result : Theorem 0.13s 0.41s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 102 ( 17 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 112 ( 32 ~; 21 |; 49 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1215,plain,
$false,
inference(resolution,[],[f1214,f485]) ).
fof(f485,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448) ).
fof(f1214,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[],[f1213,f479]) ).
fof(f479,plain,
aElementOf0(sK43,xY),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
& ~ aElementOf0(sK43,szNzAzT0)
& aElementOf0(sK43,xY) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f110,f287]) ).
fof(f287,plain,
( ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xY) )
=> ( ~ aElementOf0(sK43,szNzAzT0)
& aElementOf0(sK43,xY) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
( ~ aSubsetOf0(xY,szNzAzT0)
& ? [X0] :
( ~ aElementOf0(X0,szNzAzT0)
& aElementOf0(X0,xY) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,negated_conjecture,
~ ( aSubsetOf0(xY,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xY)
=> aElementOf0(X0,szNzAzT0) ) ),
inference(negated_conjecture,[],[f92]) ).
fof(f92,conjecture,
( aSubsetOf0(xY,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xY)
=> aElementOf0(X0,szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1213,plain,
( ~ aElementOf0(sK43,xY)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[],[f1200,f480]) ).
fof(f480,plain,
~ aElementOf0(sK43,szNzAzT0),
inference(cnf_transformation,[],[f288]) ).
fof(f1200,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(X0,xY) ),
inference(resolution,[],[f582,f576]) ).
fof(f576,plain,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X0,xY) ),
inference(cnf_transformation,[],[f326]) ).
fof(f326,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( ( aElementOf0(X0,xY)
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) )
| ~ aElementOf0(X0,xY) ) )
& aSet0(xY)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(flattening,[],[f325]) ).
fof(f325,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( ( aElementOf0(X0,xY)
| szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
| ~ aElement0(X0) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) )
| ~ aElementOf0(X0,xY) ) )
& aSet0(xY)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xY)
& ! [X1] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,plain,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xY)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& ! [X0] :
( aElementOf0(X0,xY)
<=> ( szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
& aElementOf0(X0,sdtlpdtrp0(xN,xi))
& aElement0(X0) ) )
& aSet0(xY)
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4448_02) ).
fof(f582,plain,
! [X0,X1] :
( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aSet0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM590+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 14:47:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (27036)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (27043)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)
% 0.13/0.37 % (27039)WARNING: value z3 for option sas not known
% 0.13/0.37 % (27037)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (27038)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (27039)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)
% 0.13/0.37 % (27040)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (27041)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)
% 0.13/0.37 % (27042)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)
% 0.13/0.40 % (27042)First to succeed.
% 0.13/0.41 % (27042)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27036"
% 0.13/0.41 % (27042)Refutation found. Thanks to Tanya!
% 0.13/0.41 % SZS status Theorem for theBenchmark
% 0.13/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.41 % (27042)------------------------------
% 0.13/0.41 % (27042)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.41 % (27042)Termination reason: Refutation
% 0.13/0.41
% 0.13/0.41 % (27042)Memory used [KB]: 1731
% 0.13/0.41 % (27042)Time elapsed: 0.034 s
% 0.13/0.41 % (27042)Instructions burned: 56 (million)
% 0.13/0.41 % (27036)Success in time 0.054 s
%------------------------------------------------------------------------------