TSTP Solution File: SET024+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n003.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 18:18:30 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% 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 : 59 ( 22 ~; 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 : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f309,plain,
$false,
inference(subsumption_resolution,[],[f279,f302]) ).
fof(f302,plain,
! [X0] : member(sK6,unordered_pair(sK6,X0)),
inference(resolution,[],[f240,f281]) ).
fof(f281,plain,
! [X2,X1] :
( ~ member(X1,universal_class)
| member(X1,unordered_pair(X1,X2)) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| X0 != X1 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( ( member(X0,universal_class)
& ( X0 = X1
| X0 = X2 ) )
| ~ member(X0,unordered_pair(X1,X2)) )
& ( member(X0,unordered_pair(X1,X2))
| ~ member(X0,universal_class)
| ( X0 != X1
& X0 != X2 ) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X2,X0] :
( ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X2,X0)) )
& ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) ) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X1,X2,X0] :
( ( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
| ~ member(X1,unordered_pair(X2,X0)) )
& ( member(X1,unordered_pair(X2,X0))
| ~ member(X1,universal_class)
| ( X1 != X2
& X0 != X1 ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X2,X0] :
( ( member(X1,universal_class)
& ( X1 = X2
| X0 = X1 ) )
<=> member(X1,unordered_pair(X2,X0)) ),
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) ).
fof(f240,plain,
member(sK6,universal_class),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( ~ member(sK6,singleton(sK6))
& member(sK6,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f80,f151]) ).
fof(f151,plain,
( ? [X0] :
( ~ member(X0,singleton(X0))
& member(X0,universal_class) )
=> ( ~ member(sK6,singleton(sK6))
& member(sK6,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0] :
( ~ member(X0,singleton(X0))
& member(X0,universal_class) ),
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(f279,plain,
~ member(sK6,unordered_pair(sK6,sK6)),
inference(definition_unfolding,[],[f241,f171]) ).
fof(f171,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(f241,plain,
~ member(sK6,singleton(sK6)),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET024+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 12:56:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (2149)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (2166)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.50 % (2158)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (2149)Refutation not found, incomplete strategy% (2149)------------------------------
% 0.19/0.50 % (2149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2149)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (2149)Memory used [KB]: 5884
% 0.19/0.50 % (2149)Time elapsed: 0.090 s
% 0.19/0.50 % (2149)Instructions burned: 1 (million)
% 0.19/0.50 % (2149)------------------------------
% 0.19/0.50 % (2149)------------------------------
% 0.19/0.51 % (2161)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)
% 0.19/0.51 % (2158)First to succeed.
% 0.19/0.51 % (2147)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (2158)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 % (2158)------------------------------
% 0.19/0.51 % (2158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2158)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (2158)Memory used [KB]: 1663
% 0.19/0.51 % (2158)Time elapsed: 0.109 s
% 0.19/0.51 % (2158)Instructions burned: 8 (million)
% 0.19/0.51 % (2158)------------------------------
% 0.19/0.51 % (2158)------------------------------
% 0.19/0.51 % (2131)Success in time 0.158 s
%------------------------------------------------------------------------------