TSTP Solution File: SET101+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET101+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 : n012.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 18:19:13 EDT 2022
% Result : Theorem 0.16s 0.43s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 48 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 44 ( 20 ~; 13 |; 8 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(unit_resulting_resolution,[],[f73,f89,f93]) ).
fof(f93,plain,
! [X2,X0] :
( ~ member(X2,universal_class)
| member(X2,unordered_pair(X2,X0)) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| X1 != X2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X0 != X1
& X1 != X2 ) )
& ( ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) )
| ~ member(X1,unordered_pair(X2,X0)) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X0 != X1
& X1 != X2 ) )
& ( ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) )
| ~ member(X1,unordered_pair(X2,X0)) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( member(X1,unordered_pair(X2,X0))
<=> ( member(X1,universal_class)
& ( X0 = X1
| X1 = X2 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) )
<=> member(X2,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f89,plain,
~ member(unordered_pair(sK1,sK1),unordered_pair(unordered_pair(sK1,sK1),unordered_pair(sK1,unordered_pair(sK2,sK2)))),
inference(definition_unfolding,[],[f83,f75,f85]) ).
fof(f85,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))) = ordered_pair(X1,X0),
inference(definition_unfolding,[],[f84,f75,f75]) ).
fof(f84,plain,
! [X0,X1] : unordered_pair(singleton(X1),unordered_pair(X1,singleton(X0))) = ordered_pair(X1,X0),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] : unordered_pair(singleton(X1),unordered_pair(X1,singleton(X0))) = ordered_pair(X1,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_defn) ).
fof(f75,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/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f83,plain,
~ member(singleton(sK1),ordered_pair(sK1,sK2)),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
~ member(singleton(sK1),ordered_pair(sK1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f63,f64]) ).
fof(f64,plain,
( ? [X0,X1] : ~ member(singleton(X0),ordered_pair(X0,X1))
=> ~ member(singleton(sK1),ordered_pair(sK1,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
? [X0,X1] : ~ member(singleton(X0),ordered_pair(X0,X1)),
inference(rectify,[],[f51]) ).
fof(f51,plain,
? [X1,X0] : ~ member(singleton(X1),ordered_pair(X1,X0)),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1] : member(singleton(X1),ordered_pair(X1,X0)),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X0] : member(singleton(X0),ordered_pair(X0,X1)),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X0] : member(singleton(X0),ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_member_of_ordered_pair) ).
fof(f73,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/sandbox/benchmark/theBenchmark.p',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET101+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.31 % Computer : n012.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 13:36:20 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.16/0.41 % (10498)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)
% 0.16/0.42 % (10498)First to succeed.
% 0.16/0.42 % (10490)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.43 % (10498)Refutation found. Thanks to Tanya!
% 0.16/0.43 % SZS status Theorem for theBenchmark
% 0.16/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.43 % (10498)------------------------------
% 0.16/0.43 % (10498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.43 % (10498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.43 % (10498)Termination reason: Refutation
% 0.16/0.43
% 0.16/0.43 % (10498)Memory used [KB]: 1535
% 0.16/0.43 % (10498)Time elapsed: 0.046 s
% 0.16/0.43 % (10498)Instructions burned: 3 (million)
% 0.16/0.43 % (10498)------------------------------
% 0.16/0.43 % (10498)------------------------------
% 0.16/0.43 % (10474)Success in time 0.117 s
%------------------------------------------------------------------------------