TSTP Solution File: SET027+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 09:10:33 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 16 |; 21 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 35 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f387,plain,
$false,
inference(resolution,[],[f385,f139]) ).
fof(f139,plain,
~ subclass(sK0,sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ~ subclass(sK0,sK2)
& subclass(sK1,sK2)
& subclass(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f73,f87]) ).
fof(f87,plain,
( ? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X1,X2)
& subclass(X0,X1) )
=> ( ~ subclass(sK0,sK2)
& subclass(sK1,sK2)
& subclass(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X1,X2)
& subclass(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X1,X2)
& subclass(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0,X1,X2] :
( ( subclass(X1,X2)
& subclass(X0,X1) )
=> subclass(X0,X2) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1,X4] :
( ( subclass(X1,X4)
& subclass(X0,X1) )
=> subclass(X0,X4) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1,X4] :
( ( subclass(X1,X4)
& subclass(X0,X1) )
=> subclass(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f385,plain,
subclass(sK0,sK2),
inference(resolution,[],[f383,f177]) ).
fof(f177,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f102,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f102,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,[],[f101]) ).
fof(f101,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,[],[f82]) ).
fof(f82,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/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f383,plain,
~ member(sK5(sK0,sK2),sK0),
inference(resolution,[],[f373,f137]) ).
fof(f137,plain,
subclass(sK0,sK1),
inference(cnf_transformation,[],[f88]) ).
fof(f373,plain,
! [X0] :
( ~ subclass(X0,sK1)
| ~ member(sK5(sK0,sK2),X0) ),
inference(resolution,[],[f371,f176]) ).
fof(f176,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f371,plain,
~ member(sK5(sK0,sK2),sK1),
inference(resolution,[],[f358,f138]) ).
fof(f138,plain,
subclass(sK1,sK2),
inference(cnf_transformation,[],[f88]) ).
fof(f358,plain,
! [X0] :
( ~ subclass(X0,sK2)
| ~ member(sK5(sK0,sK2),X0) ),
inference(resolution,[],[f176,f258]) ).
fof(f258,plain,
~ member(sK5(sK0,sK2),sK2),
inference(resolution,[],[f178,f139]) ).
fof(f178,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 16:50:22 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (1464)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (1467)WARNING: value z3 for option sas not known
% 0.11/0.33 % (1469)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)
% 0.11/0.33 % (1466)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.33 % (1471)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)
% 0.11/0.33 % (1467)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)
% 0.11/0.33 % (1465)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.33 % (1470)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)
% 0.11/0.33 % (1468)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (1470)First to succeed.
% 0.11/0.34 % (1470)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1464"
% 0.11/0.34 % (1470)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (1470)------------------------------
% 0.11/0.34 % (1470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (1470)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (1470)Memory used [KB]: 1017
% 0.11/0.34 % (1470)Time elapsed: 0.011 s
% 0.11/0.34 % (1470)Instructions burned: 17 (million)
% 0.11/0.34 % (1464)Success in time 0.026 s
%------------------------------------------------------------------------------