TSTP Solution File: KRS191+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS191+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 : n007.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 17:31:03 EDT 2022
% Result : Theorem 0.17s 0.51s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 120 ( 44 ~; 32 |; 28 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 98 ( 75 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f325,plain,
$false,
inference(subsumption_resolution,[],[f324,f279]) ).
fof(f279,plain,
~ isa(wtc,thm),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
~ isa(wtc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(wtc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(wtc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wtc_thm) ).
fof(f324,plain,
isa(wtc,thm),
inference(resolution,[],[f321,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ status(sK13(X0,X1),sK14(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( isa(X1,X0)
| ( status(sK13(X0,X1),sK14(X0,X1),X1)
& ~ status(sK13(X0,X1),sK14(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f71,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
=> ( status(sK13(X0,X1),sK14(X0,X1),X1)
& ~ status(sK13(X0,X1),sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1] :
( isa(X1,X0)
| ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ! [X2,X3] :
( status(X2,X3,X1)
=> status(X2,X3,X0) )
=> isa(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( isa(X1,X0)
<=> ! [X2,X3] :
( status(X2,X3,X1)
=> status(X2,X3,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X7,X6] :
( isa(X6,X7)
<=> ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f321,plain,
! [X1] : status(X1,sK14(thm,wtc),thm),
inference(resolution,[],[f319,f250]) ).
fof(f250,plain,
! [X0,X1] :
( ~ model(sK21(X0,X1),X0)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( model(sK21(X0,X1),X1)
& ~ model(sK21(X0,X1),X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f128,f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
=> ( model(sK21(X0,X1),X1)
& ~ model(sK21(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X1,X0] :
( ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f319,plain,
! [X0] : model(X0,sK14(thm,wtc)),
inference(resolution,[],[f318,f281]) ).
fof(f281,plain,
! [X0,X1,X6] :
( ~ status(X1,X0,wtc)
| model(X6,X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( status(X1,X0,wtc)
| ! [X2] : ~ model(X2,X1)
| ~ model(sK40(X0),X0)
| ! [X4] : model(X4,X1) )
& ( ( model(sK41(X1),X1)
& ! [X6] : model(X6,X0)
& ~ model(sK42(X1),X1) )
| ~ status(X1,X0,wtc) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42])],[f170,f173,f172,f171]) ).
fof(f171,plain,
! [X0] :
( ? [X3] : ~ model(X3,X0)
=> ~ model(sK40(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X1] :
( ? [X5] : model(X5,X1)
=> model(sK41(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X1] :
( ? [X7] : ~ model(X7,X1)
=> ~ model(sK42(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0,X1] :
( ( status(X1,X0,wtc)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : ~ model(X3,X0)
| ! [X4] : model(X4,X1) )
& ( ( ? [X5] : model(X5,X1)
& ! [X6] : model(X6,X0)
& ? [X7] : ~ model(X7,X1) )
| ~ status(X1,X0,wtc) ) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X1,X0] :
( ( status(X0,X1,wtc)
| ! [X4] : ~ model(X4,X0)
| ? [X3] : ~ model(X3,X1)
| ! [X2] : model(X2,X0) )
& ( ( ? [X4] : model(X4,X0)
& ! [X3] : model(X3,X1)
& ? [X2] : ~ model(X2,X0) )
| ~ status(X0,X1,wtc) ) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X1,X0] :
( ( status(X0,X1,wtc)
| ! [X4] : ~ model(X4,X0)
| ? [X3] : ~ model(X3,X1)
| ! [X2] : model(X2,X0) )
& ( ( ? [X4] : model(X4,X0)
& ! [X3] : model(X3,X1)
& ? [X2] : ~ model(X2,X0) )
| ~ status(X0,X1,wtc) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( status(X0,X1,wtc)
<=> ( ? [X4] : model(X4,X0)
& ! [X3] : model(X3,X1)
& ? [X2] : ~ model(X2,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( ? [X3] : ~ model(X3,X0)
& ! [X4] : model(X4,X1)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wtc) ).
fof(f318,plain,
status(sK13(thm,wtc),sK14(thm,wtc),wtc),
inference(resolution,[],[f238,f279]) ).
fof(f238,plain,
! [X0,X1] :
( isa(X1,X0)
| status(sK13(X0,X1),sK14(X0,X1),X1) ),
inference(cnf_transformation,[],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS191+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 30 00:20:30 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.47 % (2497)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)
% 0.17/0.49 % (2513)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)
% 0.17/0.49 % (2514)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)
% 0.17/0.49 % (2506)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)
% 0.17/0.50 % (2505)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)
% 0.17/0.50 % (2496)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)
% 0.17/0.50 % (2493)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)
% 0.17/0.50 TRYING [1]
% 0.17/0.50 % (2498)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.51 % (2491)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)
% 0.17/0.51 % (2514)First to succeed.
% 0.17/0.51 % (2494)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)
% 0.17/0.51 TRYING [2]
% 0.17/0.51 % (2514)Refutation found. Thanks to Tanya!
% 0.17/0.51 % SZS status Theorem for theBenchmark
% 0.17/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.51 % (2514)------------------------------
% 0.17/0.51 % (2514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (2514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.51 % (2514)Termination reason: Refutation
% 0.17/0.51
% 0.17/0.51 % (2514)Memory used [KB]: 5628
% 0.17/0.51 % (2514)Time elapsed: 0.071 s
% 0.17/0.51 % (2514)Instructions burned: 6 (million)
% 0.17/0.51 % (2514)------------------------------
% 0.17/0.51 % (2514)------------------------------
% 0.17/0.51 % (2490)Success in time 0.187 s
%------------------------------------------------------------------------------