TSTP Solution File: SET056+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET056+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_sat --cores 0 -t %d %s
% Computer : n004.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 18:23:24 EDT 2022
% Result : Theorem 1.91s 0.62s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 113 ( 18 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 131 ( 50 ~; 44 |; 30 &)
% ( 4 <=>; 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 : 64 ( 51 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(subsumption_resolution,[],[f316,f313]) ).
fof(f313,plain,
~ subclass(sK0,sK1),
inference(subsumption_resolution,[],[f312,f157]) ).
fof(f157,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f91]) ).
fof(f91,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])],[f87,f90]) ).
fof(f90,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(f87,plain,
? [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
& ! [X3] :
( ~ member(X3,X1)
| member(X3,X0) )
& X0 != X1 ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ! [X0,X1] :
( ? [X3] :
( member(X3,X1)
& ~ member(X3,X0) )
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1
| ? [X6] :
( member(X6,X1)
& ~ member(X6,X0) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
| X0 = X1
| ? [X6] :
( member(X6,X1)
& ~ member(X6,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality1) ).
fof(f312,plain,
( sK0 = sK1
| ~ subclass(sK0,sK1) ),
inference(resolution,[],[f311,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ( ( subclass(X0,X1)
& subclass(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( subclass(X0,X1)
& subclass(X1,X0) )
<=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
fof(f311,plain,
subclass(sK1,sK0),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f309,plain,
( subclass(sK1,sK0)
| subclass(sK1,sK0) ),
inference(resolution,[],[f296,f204]) ).
fof(f204,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X0)
| subclass(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ( ~ member(sK5(X0,X1),X0)
& member(sK5(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f126,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) )
=> ( ~ member(sK5(X0,X1),X0)
& member(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) )
& ( subclass(X1,X0)
| ? [X3] :
( ~ member(X3,X0)
& member(X3,X1) ) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X1,X0] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) )
& ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X1,X0] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
<=> subclass(X0,X1) ),
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(f296,plain,
! [X0] :
( member(sK5(X0,sK1),sK0)
| subclass(sK1,X0) ),
inference(resolution,[],[f203,f158]) ).
fof(f158,plain,
! [X3] :
( ~ member(X3,sK1)
| member(X3,sK0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f203,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| subclass(X1,X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f316,plain,
subclass(sK0,sK1),
inference(duplicate_literal_removal,[],[f315]) ).
fof(f315,plain,
( subclass(sK0,sK1)
| subclass(sK0,sK1) ),
inference(resolution,[],[f299,f203]) ).
fof(f299,plain,
! [X1] :
( ~ member(sK5(sK1,X1),sK0)
| subclass(X1,sK1) ),
inference(resolution,[],[f204,f159]) ).
fof(f159,plain,
! [X2] :
( member(X2,sK1)
| ~ member(X2,sK0) ),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET056+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 13:01:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.52 % (32655)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.53 % (32671)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.54 % (32655)Refutation not found, incomplete strategy% (32655)------------------------------
% 0.22/0.54 % (32655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (32663)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.56 % (32655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.56 % (32655)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.56
% 0.22/0.56 % (32655)Memory used [KB]: 5628
% 0.22/0.56 % (32655)Time elapsed: 0.116 s
% 0.22/0.56 % (32655)Instructions burned: 10 (million)
% 0.22/0.56 % (32655)------------------------------
% 0.22/0.56 % (32655)------------------------------
% 0.22/0.57 % (32658)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.58 % (32654)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.22/0.58 % (32659)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.22/0.58 % (32657)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)
% 0.22/0.59 % (32664)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.59 % (32681)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.22/0.59 % (32660)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.59 % (32656)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)
% 0.22/0.59 % (32674)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.22/0.59 % (32656)First to succeed.
% 0.22/0.59 % (32678)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.59 % (32682)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.60 % (32667)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.60 % (32677)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.60 % (32661)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.60 % (32675)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.60 % (32673)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)
% 1.91/0.60 % (32672)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.60 % (32676)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.91/0.60 % (32665)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)
% 1.91/0.61 % (32670)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.61 % (32668)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.91/0.61 % (32666)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.91/0.61 % (32680)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.91/0.61 % (32679)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.91/0.61 % (32683)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.91/0.61 % (32669)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.91/0.62 % (32659)Also succeeded, but the first one will report.
% 1.91/0.62 % (32656)Refutation found. Thanks to Tanya!
% 1.91/0.62 % SZS status Theorem for theBenchmark
% 1.91/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.62 % (32656)------------------------------
% 1.91/0.62 % (32656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62 % (32656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62 % (32656)Termination reason: Refutation
% 1.91/0.62
% 1.91/0.62 % (32656)Memory used [KB]: 1151
% 1.91/0.62 % (32656)Time elapsed: 0.174 s
% 1.91/0.62 % (32656)Instructions burned: 8 (million)
% 1.91/0.62 % (32656)------------------------------
% 1.91/0.62 % (32656)------------------------------
% 1.91/0.62 % (32653)Success in time 0.259 s
%------------------------------------------------------------------------------