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 --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n022.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 : Fri Sep 1 22:10:53 EDT 2023
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% 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(f412,plain,
$false,
inference(resolution,[],[f410,f142]) ).
fof(f142,plain,
~ subclass(sK0,sK2),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ~ subclass(sK0,sK2)
& subclass(sK1,sK2)
& subclass(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f72,f86]) ).
fof(f86,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(f72,plain,
? [X0,X1,X2] :
( ~ subclass(X0,X2)
& subclass(X1,X2)
& subclass(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f71,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/sandbox/tmp/tmp.GBs1vj1FMm/Vampire---4.8_14639',transitivity) ).
fof(f410,plain,
subclass(sK0,sK2),
inference(resolution,[],[f408,f182]) ).
fof(f182,plain,
! [X0,X1] :
( member(sK6(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f105,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f105,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,[],[f104]) ).
fof(f104,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/tmp/tmp.GBs1vj1FMm/Vampire---4.8_14639',subclass_defn) ).
fof(f408,plain,
~ member(sK6(sK0,sK2),sK0),
inference(resolution,[],[f396,f140]) ).
fof(f140,plain,
subclass(sK0,sK1),
inference(cnf_transformation,[],[f87]) ).
fof(f396,plain,
! [X0] :
( ~ subclass(X0,sK1)
| ~ member(sK6(sK0,sK2),X0) ),
inference(resolution,[],[f394,f181]) ).
fof(f181,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f394,plain,
~ member(sK6(sK0,sK2),sK1),
inference(resolution,[],[f381,f141]) ).
fof(f141,plain,
subclass(sK1,sK2),
inference(cnf_transformation,[],[f87]) ).
fof(f381,plain,
! [X56] :
( ~ subclass(X56,sK2)
| ~ member(sK6(sK0,sK2),X56) ),
inference(resolution,[],[f181,f272]) ).
fof(f272,plain,
~ member(sK6(sK0,sK2),sK2),
inference(resolution,[],[f183,f142]) ).
fof(f183,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 15:44:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.42 % (14885)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (14886)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.43 % (14887)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.43 % (14889)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (14888)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.43 % (14890)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.43 % (14891)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.43 % (14892)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.44 % (14891)First to succeed.
% 0.21/0.44 % (14891)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (14891)------------------------------
% 0.21/0.44 % (14891)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (14891)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (14891)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (14891)Memory used [KB]: 1279
% 0.21/0.44 % (14891)Time elapsed: 0.013 s
% 0.21/0.44 % (14891)------------------------------
% 0.21/0.44 % (14891)------------------------------
% 0.21/0.44 % (14885)Success in time 0.073 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------