TSTP Solution File: SET056+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET056+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Tue May 21 03:15:42 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 104 ( 15 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 121 ( 47 ~; 41 |; 27 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 60 ( 47 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f348,plain,
$false,
inference(subsumption_resolution,[],[f347,f298]) ).
fof(f298,plain,
subclass(sK1,sK0),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
( subclass(sK1,sK0)
| subclass(sK1,sK0) ),
inference(resolution,[],[f177,f294]) ).
fof(f294,plain,
! [X0] :
( member(sK4(sK1,X0),sK0)
| subclass(sK1,X0) ),
inference(resolution,[],[f176,f138]) ).
fof(f138,plain,
! [X2] :
( ~ member(X2,sK1)
| member(X2,sK0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ! [X2] :
( member(X2,sK0)
| ~ member(X2,sK1) )
& ! [X3] :
( member(X3,sK1)
| ~ member(X3,sK0) )
& sK0 != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f72,f86]) ).
fof(f86,plain,
( ? [X0,X1] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
& ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
& X0 != X1 )
=> ( ! [X2] :
( member(X2,sK0)
| ~ member(X2,sK1) )
& ! [X3] :
( member(X3,sK1)
| ~ member(X3,sK0) )
& sK0 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
? [X0,X1] :
( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
& ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
& X0 != X1 ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0) )
| X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( ? [X6] :
( ~ member(X6,X0)
& member(X6,X1) )
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1] :
( ? [X6] :
( ~ member(X6,X0)
& member(X6,X1) )
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality1) ).
fof(f176,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f101,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f101,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,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_defn) ).
fof(f177,plain,
! [X0,X1] :
( ~ member(sK4(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f347,plain,
~ subclass(sK1,sK0),
inference(subsumption_resolution,[],[f344,f136]) ).
fof(f136,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f87]) ).
fof(f344,plain,
( sK0 = sK1
| ~ subclass(sK1,sK0) ),
inference(resolution,[],[f173,f302]) ).
fof(f302,plain,
subclass(sK0,sK1),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f301,plain,
( subclass(sK0,sK1)
| subclass(sK0,sK1) ),
inference(resolution,[],[f297,f176]) ).
fof(f297,plain,
! [X0] :
( ~ member(sK4(X0,sK1),sK0)
| subclass(X0,sK1) ),
inference(resolution,[],[f177,f137]) ).
fof(f137,plain,
! [X3] :
( member(X3,sK1)
| ~ member(X3,sK0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f173,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET056+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.15/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 12:51:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (27643)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (27646)WARNING: value z3 for option sas not known
% 0.15/0.39 % (27644)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (27645)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (27647)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (27648)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 % (27646)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (27649)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 % (27650)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.41 % (27646)First to succeed.
% 0.15/0.41 % (27646)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27643"
% 0.15/0.41 % (27646)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (27646)------------------------------
% 0.15/0.41 % (27646)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.41 % (27646)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (27646)Memory used [KB]: 963
% 0.15/0.41 % (27646)Time elapsed: 0.019 s
% 0.15/0.41 % (27646)Instructions burned: 14 (million)
% 0.15/0.41 % (27643)Success in time 0.048 s
%------------------------------------------------------------------------------