TSTP Solution File: SET064+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 09:10:52 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 54 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 52 ( 18 ~; 10 |; 20 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 18 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f254,plain,
$false,
inference(unit_resulting_resolution,[],[f241,f144,f156]) ).
fof(f156,plain,
! [X0] :
( ~ sP0(X0)
| member(sK3(X0),X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ( disjoint(sK3(X0),X0)
& member(sK3(X0),X0)
& member(sK3(X0),universal_class) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f92,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
=> ( disjoint(sK3(X0),X0)
& member(sK3(X0),X0)
& member(sK3(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f144,plain,
! [X1] : ~ member(X1,sK2),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ! [X1] : ~ member(X1,sK2)
& null_class != sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f72,f90]) ).
fof(f90,plain,
( ? [X0] :
( ! [X1] : ~ member(X1,X0)
& null_class != X0 )
=> ( ! [X1] : ~ member(X1,sK2)
& null_class != sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0] :
( ! [X1] : ~ member(X1,X0)
& null_class != X0 ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
( ? [X1] : member(X1,X0)
| null_class = X0 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X4] :
( ? [X1] : member(X1,X4)
| null_class = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f241,plain,
sP0(sK2),
inference(unit_resulting_resolution,[],[f143,f158]) ).
fof(f158,plain,
! [X0] :
( sP0(X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( sP0(X0)
| null_class = X0 ),
inference(definition_folding,[],[f73,f86]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| null_class = X0 ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity) ).
fof(f143,plain,
null_class != sK2,
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET064+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:42:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (28429)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (28432)WARNING: value z3 for option sas not known
% 0.15/0.39 % (28430)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (28431)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (28433)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (28432)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)
% 0.15/0.39 % (28434)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)
% 0.15/0.39 % (28435)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)
% 0.15/0.39 % (28436)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)
% 0.15/0.39 % (28435)Also succeeded, but the first one will report.
% 0.15/0.39 % (28436)First to succeed.
% 0.15/0.39 % (28432)Also succeeded, but the first one will report.
% 0.15/0.39 % (28436)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28429"
% 0.15/0.39 % (28436)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (28436)------------------------------
% 0.15/0.39 % (28436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (28436)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (28436)Memory used [KB]: 940
% 0.15/0.39 % (28436)Time elapsed: 0.007 s
% 0.15/0.39 % (28436)Instructions burned: 9 (million)
% 0.15/0.39 % (28429)Success in time 0.024 s
%------------------------------------------------------------------------------