TSTP Solution File: SET062+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET062+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 : 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 : Wed Aug 31 18:23:26 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 11 |; 8 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 27 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f320,plain,
$false,
inference(resolution,[],[f312,f162]) ).
fof(f162,plain,
~ subclass(null_class,sK2),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
~ subclass(null_class,sK2),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f80,f96]) ).
fof(f96,plain,
( ? [X0] : ~ subclass(null_class,X0)
=> ~ subclass(null_class,sK2) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0] : ~ subclass(null_class,X0),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] : subclass(null_class,X0),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] : subclass(null_class,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).
fof(f312,plain,
! [X4] : subclass(null_class,X4),
inference(resolution,[],[f214,f193]) ).
fof(f193,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
fof(f214,plain,
! [X0,X1] :
( member(sK6(X0,X1),X1)
| subclass(X1,X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ( ~ member(sK6(X0,X1),X0)
& member(sK6(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f136,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK6(X0,X1),X0)
& member(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
<=> subclass(X1,X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( subclass(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET062+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
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:01:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (18775)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (18771)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (18775)First to succeed.
% 0.19/0.51 % (18779)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (18775)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (18775)------------------------------
% 0.19/0.51 % (18775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18775)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (18775)Memory used [KB]: 5628
% 0.19/0.51 % (18775)Time elapsed: 0.109 s
% 0.19/0.51 % (18775)Instructions burned: 8 (million)
% 0.19/0.51 % (18775)------------------------------
% 0.19/0.51 % (18775)------------------------------
% 0.19/0.51 % (18764)Success in time 0.162 s
%------------------------------------------------------------------------------