TSTP Solution File: SET024+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 18:23:13 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 56 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 60 ( 23 ~; 17 |; 15 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 26 ( 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f309,plain,
$false,
inference(subsumption_resolution,[],[f307,f215]) ).
fof(f215,plain,
member(sK5,universal_class),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( member(sK5,universal_class)
& ~ member(sK5,singleton(sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f78,f128]) ).
fof(f128,plain,
( ? [X0] :
( member(X0,universal_class)
& ~ member(X0,singleton(X0)) )
=> ( member(sK5,universal_class)
& ~ member(sK5,singleton(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
? [X0] :
( member(X0,universal_class)
& ~ member(X0,singleton(X0)) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( member(X0,universal_class)
=> member(X0,singleton(X0)) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( member(X0,universal_class)
=> member(X0,singleton(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).
fof(f307,plain,
~ member(sK5,universal_class),
inference(resolution,[],[f279,f268]) ).
fof(f268,plain,
~ member(sK5,unordered_pair(sK5,sK5)),
inference(definition_unfolding,[],[f214,f184]) ).
fof(f184,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(f214,plain,
~ member(sK5,singleton(sK5)),
inference(cnf_transformation,[],[f129]) ).
fof(f279,plain,
! [X2,X1] :
( member(X2,unordered_pair(X2,X1))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f189]) ).
fof(f189,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X2,X1))
| ~ member(X0,universal_class)
| X0 != X2 ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X2,X1))
| ~ member(X0,universal_class)
| ( X0 != X2
& X0 != X1 ) )
& ( ( member(X0,universal_class)
& ( X0 = X2
| X0 = X1 ) )
| ~ member(X0,unordered_pair(X2,X1)) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X1,X0,X2] :
( ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) )
& ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X2,X0)) ) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X1,X0,X2] :
( ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) )
& ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X2,X0)) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X1,X0,X2] :
( member(X1,unordered_pair(X2,X0))
<=> ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( ( member(X2,universal_class)
& ( X0 = X2
| X1 = X2 ) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 : Tue Aug 30 12:58:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (32660)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (32652)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (32644)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (32648)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (32660)First to succeed.
% 0.20/0.52 % (32652)Also succeeded, but the first one will report.
% 0.20/0.52 % (32660)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (32660)------------------------------
% 0.20/0.52 % (32660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32660)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (32660)Memory used [KB]: 5628
% 0.20/0.52 % (32660)Time elapsed: 0.069 s
% 0.20/0.52 % (32660)Instructions burned: 10 (million)
% 0.20/0.52 % (32660)------------------------------
% 0.20/0.52 % (32660)------------------------------
% 0.20/0.52 % (32636)Success in time 0.164 s
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