TSTP Solution File: NUM564+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM564+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 : n009.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 08:38:29 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 84 ( 36 ~; 11 |; 25 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 10 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f638,plain,
$false,
inference(avatar_sat_refutation,[],[f616,f620,f625,f630,f635,f637]) ).
fof(f637,plain,
( ~ spl50_2
| ~ spl50_3 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f636,plain,
( $false
| ~ spl50_2
| ~ spl50_3 ),
inference(resolution,[],[f624,f619]) ).
fof(f619,plain,
( ! [X1] : ~ aElementOf0(X1,slcrc0)
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f618,plain,
( spl50_2
<=> ! [X1] : ~ aElementOf0(X1,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_2])]) ).
fof(f624,plain,
( aElementOf0(sK20,slcrc0)
| ~ spl50_3 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f622,plain,
( spl50_3
<=> aElementOf0(sK20,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_3])]) ).
fof(f635,plain,
~ spl50_5,
inference(avatar_split_clause,[],[f352,f632]) ).
fof(f632,plain,
( spl50_5
<=> aSubsetOf0(slcrc0,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_5])]) ).
fof(f352,plain,
~ aSubsetOf0(slcrc0,xS),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ~ aElementOf0(sK20,xS)
& aElementOf0(sK20,slcrc0)
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f225,f226]) ).
fof(f226,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,slcrc0) )
=> ( ~ aElementOf0(sK20,xS)
& aElementOf0(sK20,slcrc0) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,slcrc0) )
& ! [X1] : ~ aElementOf0(X1,slcrc0)
& aSet0(slcrc0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ! [X0] : ~ aElementOf0(X0,slcrc0)
& aSet0(slcrc0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
( ~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
& ~ aSubsetOf0(slcrc0,xS)
& ? [X1] :
( ~ aElementOf0(X1,xS)
& aElementOf0(X1,slcrc0) )
& ! [X0] : ~ aElementOf0(X0,slcrc0)
& aSet0(slcrc0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X1] :
( aElementOf0(X1,slcrc0)
=> aElementOf0(X1,xS) ) ) ),
inference(rectify,[],[f80]) ).
fof(f80,negated_conjecture,
~ ( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) ) ) ),
inference(negated_conjecture,[],[f79]) ).
fof(f79,conjecture,
( ( ~ ? [X0] : aElementOf0(X0,slcrc0)
& aSet0(slcrc0) )
=> ( aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00))
| aSubsetOf0(slcrc0,xS)
| ! [X0] :
( aElementOf0(X0,slcrc0)
=> aElementOf0(X0,xS) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f630,plain,
~ spl50_4,
inference(avatar_split_clause,[],[f351,f627]) ).
fof(f627,plain,
( spl50_4
<=> aElementOf0(sK20,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_4])]) ).
fof(f351,plain,
~ aElementOf0(sK20,xS),
inference(cnf_transformation,[],[f227]) ).
fof(f625,plain,
spl50_3,
inference(avatar_split_clause,[],[f350,f622]) ).
fof(f350,plain,
aElementOf0(sK20,slcrc0),
inference(cnf_transformation,[],[f227]) ).
fof(f620,plain,
spl50_2,
inference(avatar_split_clause,[],[f349,f618]) ).
fof(f349,plain,
! [X1] : ~ aElementOf0(X1,slcrc0),
inference(cnf_transformation,[],[f227]) ).
fof(f616,plain,
spl50_1,
inference(avatar_split_clause,[],[f348,f613]) ).
fof(f613,plain,
( spl50_1
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl50_1])]) ).
fof(f348,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM564+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 : n009.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 15:16:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (1857)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (1860)WARNING: value z3 for option sas not known
% 0.13/0.38 % (1858)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (1859)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (1861)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (1860)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)
% 0.13/0.38 % (1862)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)
% 0.13/0.38 % (1863)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)
% 0.13/0.38 % (1864)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)
% 0.13/0.39 % (1862)First to succeed.
% 0.13/0.39 % (1863)Also succeeded, but the first one will report.
% 0.13/0.39 % (1862)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1857"
% 0.13/0.39 % (1860)Also succeeded, but the first one will report.
% 0.13/0.39 % (1862)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 % (1862)------------------------------
% 0.13/0.39 % (1862)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (1862)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (1862)Memory used [KB]: 1193
% 0.13/0.39 % (1862)Time elapsed: 0.012 s
% 0.13/0.39 % (1862)Instructions burned: 18 (million)
% 0.13/0.39 % (1857)Success in time 0.02 s
%------------------------------------------------------------------------------