TSTP Solution File: SET056+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET056+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_uns --cores 0 -t %d %s
% Computer : n029.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 18:18:48 EDT 2022
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 4 unt; 0 def)
% Number of atoms : 118 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 136 ( 50 ~; 45 |; 32 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 56 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(unit_resulting_resolution,[],[f78,f69,f82,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( subclass(X0,X1)
& subclass(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subclass(X0,X1)
& subclass(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).
fof(f82,plain,
subclass(sK1,sK2),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
( subclass(sK1,sK2)
| subclass(sK1,sK2) ),
inference(resolution,[],[f74,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( ( subclass(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( subclass(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( 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) ).
fof(f74,plain,
! [X0] :
( member(sK0(sK1,X0),sK2)
| subclass(sK1,X0) ),
inference(resolution,[],[f70,f62]) ).
fof(f62,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f70,plain,
! [X2] :
( ~ member(X2,sK1)
| member(X2,sK2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ! [X2] :
( ~ member(X2,sK1)
| member(X2,sK2) )
& sK2 != sK1
& ! [X3] :
( ~ member(X3,sK2)
| member(X3,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f58,f59]) ).
fof(f59,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
& X0 != X1
& ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) ) )
=> ( ! [X2] :
( ~ member(X2,sK1)
| member(X2,sK2) )
& sK2 != sK1
& ! [X3] :
( ~ member(X3,sK2)
| member(X3,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
& X0 != X1
& ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
? [X1,X0] :
( ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
& X0 != X1
& ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
| X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] :
( ? [X6] :
( member(X6,X1)
& ~ member(X6,X0) )
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] :
( ? [X6] :
( member(X6,X1)
& ~ member(X6,X0) )
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1) ).
fof(f69,plain,
sK2 != sK1,
inference(cnf_transformation,[],[f60]) ).
fof(f78,plain,
subclass(sK2,sK1),
inference(duplicate_literal_removal,[],[f76]) ).
fof(f76,plain,
( subclass(sK2,sK1)
| subclass(sK2,sK1) ),
inference(resolution,[],[f73,f63]) ).
fof(f73,plain,
! [X0] :
( member(sK0(sK2,X0),sK1)
| subclass(sK2,X0) ),
inference(resolution,[],[f68,f62]) ).
fof(f68,plain,
! [X3] :
( ~ member(X3,sK2)
| member(X3,sK1) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.08 % Problem : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.28 % Computer : n029.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Aug 30 13:14:42 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.44 % (12570)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.12/0.45 % (12570)Refutation not found, incomplete strategy% (12570)------------------------------
% 0.12/0.45 % (12570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.45 % (12570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.45 % (12570)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.45
% 0.12/0.45 % (12570)Memory used [KB]: 5884
% 0.12/0.45 % (12570)Time elapsed: 0.097 s
% 0.12/0.45 % (12570)Instructions burned: 1 (million)
% 0.12/0.45 % (12570)------------------------------
% 0.12/0.45 % (12570)------------------------------
% 0.12/0.45 % (12587)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.12/0.45 % (12587)First to succeed.
% 0.12/0.45 % (12587)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (12587)------------------------------
% 0.12/0.45 % (12587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.45 % (12587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.45 % (12587)Termination reason: Refutation
% 0.12/0.45
% 0.12/0.45 % (12587)Memory used [KB]: 1535
% 0.12/0.45 % (12587)Time elapsed: 0.108 s
% 0.12/0.45 % (12587)Instructions burned: 2 (million)
% 0.12/0.45 % (12587)------------------------------
% 0.12/0.45 % (12587)------------------------------
% 0.12/0.45 % (12562)Success in time 0.169 s
%------------------------------------------------------------------------------