TSTP Solution File: SET091+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 : n001.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 18:23:38 EDT 2022
% Result : Theorem 1.29s 0.52s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 61 ( 47 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 65 ( 30 ~; 15 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 22 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f326,plain,
$false,
inference(subsumption_resolution,[],[f325,f306]) ).
fof(f306,plain,
sK2 != sF8,
inference(definition_folding,[],[f264,f305]) ).
fof(f305,plain,
member_of(sK2) = sF8,
introduced(function_definition,[]) ).
fof(f264,plain,
sK2 != member_of(sK2),
inference(definition_unfolding,[],[f171,f170]) ).
fof(f170,plain,
sK1 = sK2,
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ! [X2] :
( singleton(X2) != sK1
| ~ member(X2,universal_class) )
& sK2 != member_of(sK1)
& sK1 = sK2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f87,f100]) ).
fof(f100,plain,
( ? [X0,X1] :
( ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) )
& member_of(X0) != X1
& X0 = X1 )
=> ( ! [X2] :
( singleton(X2) != sK1
| ~ member(X2,universal_class) )
& sK2 != member_of(sK1)
& sK1 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0,X1] :
( ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) )
& member_of(X0) != X1
& X0 = X1 ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0,X1] :
( member_of(X0) != X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) )
& X0 = X1 ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
~ ! [X0,X1] :
( ( ~ ? [X2] :
( singleton(X2) = X0
& member(X2,universal_class) )
& X0 = X1 )
=> member_of(X0) = X1 ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X2] :
( ( X0 = X2
& ~ ? [X1] :
( member(X1,universal_class)
& singleton(X1) = X0 ) )
=> member_of(X0) = X2 ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X2] :
( ( X0 = X2
& ~ ? [X1] :
( member(X1,universal_class)
& singleton(X1) = X0 ) )
=> member_of(X0) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_when_not_a_singleton) ).
fof(f171,plain,
sK2 != member_of(sK1),
inference(cnf_transformation,[],[f101]) ).
fof(f325,plain,
sK2 = sF8,
inference(backward_demodulation,[],[f305,f324]) ).
fof(f324,plain,
sK2 = member_of(sK2),
inference(equality_resolution,[],[f315]) ).
fof(f315,plain,
! [X0] :
( sK2 != X0
| member_of(X0) = X0 ),
inference(subsumption_resolution,[],[f314,f165]) ).
fof(f165,plain,
! [X0] :
( member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_universal_self) ).
fof(f314,plain,
! [X0] :
( member_of(X0) = X0
| ~ member(member_of(X0),universal_class)
| sK2 != X0 ),
inference(superposition,[],[f263,f265]) ).
fof(f265,plain,
! [X0] :
( unordered_pair(member_of(X0),member_of(X0)) = X0
| member_of(X0) = X0 ),
inference(definition_unfolding,[],[f174,f164]) ).
fof(f164,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(f174,plain,
! [X0] :
( member_of(X0) = X0
| singleton(member_of(X0)) = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( member_of(X0) = X0
| singleton(member_of(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_self) ).
fof(f263,plain,
! [X2] :
( sK2 != unordered_pair(X2,X2)
| ~ member(X2,universal_class) ),
inference(definition_unfolding,[],[f172,f164,f170]) ).
fof(f172,plain,
! [X2] :
( singleton(X2) != sK1
| ~ member(X2,universal_class) ),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:35:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (20464)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (20448)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (20456)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)
% 1.29/0.51 % (20448)First to succeed.
% 1.29/0.51 % (20447)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.52 % (20446)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.29/0.52 % (20448)Refutation found. Thanks to Tanya!
% 1.29/0.52 % SZS status Theorem for theBenchmark
% 1.29/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52 % (20448)------------------------------
% 1.29/0.52 % (20448)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (20448)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (20448)Termination reason: Refutation
% 1.29/0.52
% 1.29/0.52 % (20448)Memory used [KB]: 5628
% 1.29/0.52 % (20448)Time elapsed: 0.117 s
% 1.29/0.52 % (20448)Instructions burned: 10 (million)
% 1.29/0.52 % (20448)------------------------------
% 1.29/0.52 % (20448)------------------------------
% 1.29/0.52 % (20438)Success in time 0.173 s
%------------------------------------------------------------------------------