TSTP Solution File: NUM560+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM560+2 : 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 : 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 14:33:25 EDT 2024
% Result : Theorem 0.10s 0.37s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 85 ( 13 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 100 ( 30 ~; 16 |; 42 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f429,plain,
$false,
inference(subsumption_resolution,[],[f428,f259]) ).
fof(f259,plain,
~ aElementOf0(sK8,szDzozmdt0(xF)),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ~ aElementOf0(sK8,szDzozmdt0(xF))
& aElementOf0(sK8,sdtlbdtrb0(xF,xy))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f185,f186]) ).
fof(f186,plain,
( ? [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
& aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
=> ( ~ aElementOf0(sK8,szDzozmdt0(xF))
& aElementOf0(sK8,sdtlbdtrb0(xF,xy)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X0] :
( ~ aElementOf0(X0,szDzozmdt0(xF))
& aElementOf0(X0,sdtlbdtrb0(xF,xy)) )
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X1)
| ~ aElementOf0(X1,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X1)
& aElementOf0(X1,szDzozmdt0(xF)) )
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(rectify,[],[f184]) ).
fof(f184,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xF,xy))
| xy != sdtlpdtrp0(xF,X0)
| ~ aElementOf0(X0,szDzozmdt0(xF)) )
& ( ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) )
| ~ aElementOf0(X0,sdtlbdtrb0(xF,xy)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& ? [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xF))
& aElementOf0(X1,sdtlbdtrb0(xF,xy)) )
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) ) ) ),
inference(rectify,[],[f69]) ).
fof(f69,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
inference(negated_conjecture,[],[f68]) ).
fof(f68,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
<=> ( xy = sdtlpdtrp0(xF,X0)
& aElementOf0(X0,szDzozmdt0(xF)) ) )
& aSet0(sdtlbdtrb0(xF,xy)) )
=> ( aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
| ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xF,xy))
=> aElementOf0(X0,szDzozmdt0(xF)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f428,plain,
aElementOf0(sK8,szDzozmdt0(xF)),
inference(resolution,[],[f255,f258]) ).
fof(f258,plain,
aElementOf0(sK8,sdtlbdtrb0(xF,xy)),
inference(cnf_transformation,[],[f187]) ).
fof(f255,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xF,xy))
| aElementOf0(X1,szDzozmdt0(xF)) ),
inference(cnf_transformation,[],[f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.33 % Computer : n017.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 22:50:18 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.33 % (9088)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.35 % (9091)WARNING: value z3 for option sas not known
% 0.10/0.36 % (9089)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.36 % (9091)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)
% 0.10/0.37 % (9094)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)
% 0.10/0.37 % (9095)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)
% 0.10/0.37 % (9092)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.37 % (9091)First to succeed.
% 0.10/0.37 % (9093)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)
% 0.10/0.37 % (9091)Refutation found. Thanks to Tanya!
% 0.10/0.37 % SZS status Theorem for theBenchmark
% 0.10/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.37 % (9091)------------------------------
% 0.10/0.37 % (9091)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.10/0.37 % (9091)Termination reason: Refutation
% 0.10/0.37
% 0.10/0.37 % (9091)Memory used [KB]: 1006
% 0.10/0.37 % (9091)Time elapsed: 0.011 s
% 0.10/0.37 % (9091)Instructions burned: 13 (million)
% 0.10/0.37 % (9091)------------------------------
% 0.10/0.37 % (9091)------------------------------
% 0.10/0.37 % (9088)Success in time 0.044 s
%------------------------------------------------------------------------------