TSTP Solution File: SET027+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET027+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 : n018.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 18:23:15 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 27 ~; 16 |; 21 &)
% ( 3 <=>; 7 =>; 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 : 50 ( 38 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f354,plain,
$false,
inference(subsumption_resolution,[],[f352,f351]) ).
fof(f351,plain,
~ member(sK6(sK2,sK3),sK1),
inference(resolution,[],[f348,f302]) ).
fof(f302,plain,
~ member(sK6(sK2,sK3),sK2),
inference(resolution,[],[f190,f178]) ).
fof(f178,plain,
~ subclass(sK3,sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( subclass(sK3,sK1)
& subclass(sK1,sK2)
& ~ subclass(sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f87,f107]) ).
fof(f107,plain,
( ? [X0,X1,X2] :
( subclass(X2,X0)
& subclass(X0,X1)
& ~ subclass(X2,X1) )
=> ( subclass(sK3,sK1)
& subclass(sK1,sK2)
& ~ subclass(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0,X1,X2] :
( subclass(X2,X0)
& subclass(X0,X1)
& ~ subclass(X2,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
? [X0,X2,X1] :
( ~ subclass(X2,X1)
& subclass(X0,X1)
& subclass(X2,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ! [X0,X2,X1] :
( ( subclass(X0,X1)
& subclass(X2,X0) )
=> subclass(X2,X1) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X1,X4,X0] :
( ( subclass(X0,X1)
& subclass(X1,X4) )
=> subclass(X0,X4) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X1,X4,X0] :
( ( subclass(X0,X1)
& subclass(X1,X4) )
=> subclass(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f190,plain,
! [X0,X1] :
( subclass(X1,X0)
| ~ member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ( ~ member(sK6(X0,X1),X0)
& member(sK6(X0,X1),X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subclass(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f114,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) )
=> ( ~ member(sK6(X0,X1),X0)
& member(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1) )
| ~ subclass(X1,X0) ) ),
inference(rectify,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( subclass(X1,X0)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) )
| ~ subclass(X1,X0) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( subclass(X1,X0)
<=> ! [X2] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( subclass(X1,X0)
<=> ! [X2] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f348,plain,
! [X22] :
( member(X22,sK2)
| ~ member(X22,sK1) ),
inference(resolution,[],[f188,f179]) ).
fof(f179,plain,
subclass(sK1,sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f188,plain,
! [X3,X0,X1] :
( ~ subclass(X1,X0)
| member(X3,X0)
| ~ member(X3,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f352,plain,
member(sK6(sK2,sK3),sK1),
inference(resolution,[],[f349,f301]) ).
fof(f301,plain,
member(sK6(sK2,sK3),sK3),
inference(resolution,[],[f189,f178]) ).
fof(f189,plain,
! [X0,X1] :
( subclass(X1,X0)
| member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f349,plain,
! [X23] :
( ~ member(X23,sK3)
| member(X23,sK1) ),
inference(resolution,[],[f188,f180]) ).
fof(f180,plain,
subclass(sK3,sK1),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET027+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.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 13:01:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.49 % (29298)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)
% 0.21/0.52 % (29314)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)
% 0.21/0.52 % (29296)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (29306)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)
% 0.21/0.53 % (29300)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (29314)First to succeed.
% 0.21/0.54 % (29302)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (29295)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)
% 0.21/0.54 % (29321)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)
% 0.21/0.54 % (29300)Instruction limit reached!
% 0.21/0.54 % (29300)------------------------------
% 0.21/0.54 % (29300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29297)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)
% 0.21/0.54 % (29292)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)
% 0.21/0.54 % (29294)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)
% 0.21/0.54 % (29300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29300)Termination reason: Unknown
% 0.21/0.54 % (29300)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (29300)Memory used [KB]: 1023
% 0.21/0.54 % (29300)Time elapsed: 0.004 s
% 0.21/0.54 % (29300)Instructions burned: 3 (million)
% 0.21/0.54 % (29300)------------------------------
% 0.21/0.54 % (29300)------------------------------
% 0.21/0.54 % (29313)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54 % (29301)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)
% 0.21/0.55 % (29312)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)
% 0.21/0.55 % (29314)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (29314)------------------------------
% 0.21/0.55 % (29314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29314)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (29314)Memory used [KB]: 1151
% 0.21/0.55 % (29314)Time elapsed: 0.120 s
% 0.21/0.55 % (29314)Instructions burned: 8 (million)
% 0.21/0.55 % (29314)------------------------------
% 0.21/0.55 % (29314)------------------------------
% 0.21/0.55 % (29291)Success in time 0.187 s
%------------------------------------------------------------------------------