TSTP Solution File: SET077+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n011.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 : Fri Sep 1 22:20:10 EDT 2023
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 13 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 11 (; 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f245,plain,
$false,
inference(resolution,[],[f243,f145]) ).
fof(f145,plain,
~ member(singleton(sK2),universal_class),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
~ member(singleton(sK2),universal_class),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f70,f88]) ).
fof(f88,plain,
( ? [X0] : ~ member(singleton(X0),universal_class)
=> ~ member(singleton(sK2),universal_class) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0] : ~ member(singleton(X0),universal_class),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] : member(singleton(X0),universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] : member(singleton(X0),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.vyXJqIPTTs/Vampire---4.8_24635',singletons_are_sets) ).
fof(f243,plain,
! [X0] : member(singleton(X0),universal_class),
inference(superposition,[],[f171,f151]) ).
fof(f151,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/tmp/tmp.vyXJqIPTTs/Vampire---4.8_24635',singleton_set_defn) ).
fof(f171,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/tmp/tmp.vyXJqIPTTs/Vampire---4.8_24635',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n011.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 : Wed Aug 30 15:47:57 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.23/0.47 % (24785)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47 % (24786)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.47 % (24787)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.47 % (24789)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.47 % (24788)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 Vampire---4 for (569ds/0Mi)
% 0.23/0.47 % (24790)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 Vampire---4 for (531ds/0Mi)
% 0.23/0.47 % (24791)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 Vampire---4 for (522ds/0Mi)
% 0.23/0.47 % (24792)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 Vampire---4 for (497ds/0Mi)
% 0.23/0.48 % (24792)First to succeed.
% 0.23/0.48 % (24791)Also succeeded, but the first one will report.
% 0.23/0.48 % (24792)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Theorem for Vampire---4
% 0.23/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48 % (24792)------------------------------
% 0.23/0.48 % (24792)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48 % (24792)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48 % (24792)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (24792)Memory used [KB]: 1023
% 0.23/0.48 % (24792)Time elapsed: 0.005 s
% 0.23/0.48 % (24792)------------------------------
% 0.23/0.48 % (24792)------------------------------
% 0.23/0.48 % (24785)Success in time 0.112 s
% 0.23/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------