TSTP Solution File: SET093+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 15:05:34 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f259,plain,
$false,
inference(subsumption_resolution,[],[f258,f151]) ).
fof(f151,plain,
~ member(sK2,universal_class),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ~ member(sK2,universal_class)
& sK2 = singleton(member_of(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f77,f97]) ).
fof(f97,plain,
( ? [X0] :
( ~ member(X0,universal_class)
& singleton(member_of(X0)) = X0 )
=> ( ~ member(sK2,universal_class)
& sK2 = singleton(member_of(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0] :
( ~ member(X0,universal_class)
& singleton(member_of(X0)) = X0 ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).
fof(f258,plain,
member(sK2,universal_class),
inference(superposition,[],[f257,f150]) ).
fof(f150,plain,
sK2 = singleton(member_of(sK2)),
inference(cnf_transformation,[],[f98]) ).
fof(f257,plain,
! [X0] : member(singleton(X0),universal_class),
inference(superposition,[],[f181,f157]) ).
fof(f157,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f181,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.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 : Tue Apr 30 01:30:40 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10640)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (10646)WARNING: value z3 for option sas not known
% 0.15/0.38 % (10644)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (10648)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (10649)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 % (10646)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 % (10645)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 % (10651)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)
% 0.15/0.38 % (10650)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 % (10651)First to succeed.
% 0.15/0.39 % (10646)Also succeeded, but the first one will report.
% 0.15/0.39 % (10649)Also succeeded, but the first one will report.
% 0.15/0.39 % (10651)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 % (10651)------------------------------
% 0.15/0.39 % (10651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (10651)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (10651)Memory used [KB]: 941
% 0.15/0.39 % (10651)Time elapsed: 0.007 s
% 0.15/0.39 % (10651)Instructions burned: 9 (million)
% 0.15/0.39 % (10651)------------------------------
% 0.15/0.39 % (10651)------------------------------
% 0.15/0.39 % (10640)Success in time 0.024 s
%------------------------------------------------------------------------------