TSTP Solution File: SEU294+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU294+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 09:32:37 EDT 2024
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 45 ( 18 ~; 8 |; 13 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 23 ( 17 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6155,plain,
$false,
inference(resolution,[],[f6152,f1684]) ).
fof(f1684,plain,
subset(sK110,sK111),
inference(cnf_transformation,[],[f976]) ).
fof(f976,plain,
( ~ finite(sK110)
& finite(sK111)
& subset(sK110,sK111) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK110,sK111])],[f427,f975]) ).
fof(f975,plain,
( ? [X0,X1] :
( ~ finite(X0)
& finite(X1)
& subset(X0,X1) )
=> ( ~ finite(sK110)
& finite(sK111)
& subset(sK110,sK111) ) ),
introduced(choice_axiom,[]) ).
fof(f427,plain,
? [X0,X1] :
( ~ finite(X0)
& finite(X1)
& subset(X0,X1) ),
inference(flattening,[],[f426]) ).
fof(f426,plain,
? [X0,X1] :
( ~ finite(X0)
& finite(X1)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f250]) ).
fof(f250,negated_conjecture,
~ ! [X0,X1] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ),
inference(negated_conjecture,[],[f249]) ).
fof(f249,conjecture,
! [X0,X1] :
( ( finite(X1)
& subset(X0,X1) )
=> finite(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f6152,plain,
~ subset(sK110,sK111),
inference(resolution,[],[f6145,f2656]) ).
fof(f2656,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f1580]) ).
fof(f1580,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f324]) ).
fof(f324,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f6145,plain,
~ element(sK110,powerset(sK111)),
inference(resolution,[],[f6141,f1685]) ).
fof(f1685,plain,
finite(sK111),
inference(cnf_transformation,[],[f976]) ).
fof(f6141,plain,
! [X0] :
( ~ finite(X0)
| ~ element(sK110,powerset(X0)) ),
inference(resolution,[],[f2124,f1686]) ).
fof(f1686,plain,
~ finite(sK110),
inference(cnf_transformation,[],[f976]) ).
fof(f2124,plain,
! [X0,X1] :
( finite(X1)
| ~ element(X1,powerset(X0))
| ~ finite(X0) ),
inference(cnf_transformation,[],[f645]) ).
fof(f645,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU294+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:50:12 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (27199)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (27203)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (27202)WARNING: value z3 for option sas not known
% 0.15/0.38 % (27200)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (27201)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (27202)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)
% 0.15/0.38 % (27204)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)
% 0.15/0.38 % (27205)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)
% 0.15/0.38 % (27206)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)
% 0.21/0.46 TRYING [1]
% 0.21/0.48 TRYING [2]
% 0.21/0.53 % (27205)First to succeed.
% 0.21/0.53 % (27205)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27199"
% 0.21/0.53 % (27205)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (27205)------------------------------
% 0.21/0.53 % (27205)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.53 % (27205)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (27205)Memory used [KB]: 4590
% 0.21/0.53 % (27205)Time elapsed: 0.149 s
% 0.21/0.53 % (27205)Instructions burned: 297 (million)
% 0.21/0.53 % (27199)Success in time 0.179 s
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