TSTP Solution File: KRS191+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS191+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 : n016.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 07:19:58 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 121 ( 44 ~; 33 |; 28 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 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 : 100 ( 77 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3464,plain,
$false,
inference(subsumption_resolution,[],[f3463,f234]) ).
fof(f234,plain,
~ isa(wtc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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(f3463,plain,
isa(wtc,thm),
inference(resolution,[],[f3423,f319]) ).
fof(f319,plain,
! [X0,X1] :
( ~ status(sK46(X0,X1),sK47(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( isa(X0,X1)
| ( ~ status(sK46(X0,X1),sK47(X0,X1),X1)
& status(sK46(X0,X1),sK47(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f70,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> ( ~ status(sK46(X0,X1),sK47(X0,X1),X1)
& status(sK46(X0,X1),sK47(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( isa(X0,X1)
| ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f3423,plain,
! [X0] : status(X0,sK47(wtc,thm),thm),
inference(resolution,[],[f3375,f316]) ).
fof(f316,plain,
! [X0,X1] :
( ~ model(sK45(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK45(X0,X1),X1)
& model(sK45(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK45(X0,X1),X1)
& model(sK45(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
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(f3375,plain,
! [X0] : model(X0,sK47(wtc,thm)),
inference(resolution,[],[f1644,f234]) ).
fof(f1644,plain,
! [X0,X1] :
( isa(wtc,X0)
| model(X1,sK47(wtc,X0)) ),
inference(resolution,[],[f318,f284]) ).
fof(f284,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,wtc)
| model(X2,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ~ model(sK27(X0),X0)
& model(sK28(X0),X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ~ model(sK29(X1),X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29])],[f150,f153,f152,f151]) ).
fof(f151,plain,
! [X0] :
( ? [X3] : ~ model(X3,X0)
=> ~ model(sK27(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ? [X4] : model(X4,X0)
=> model(sK28(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X1] :
( ? [X5] : ~ model(X5,X1)
=> ~ model(sK29(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X5] : ~ model(X5,X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wtc) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( ! [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wtc) ).
fof(f318,plain,
! [X0,X1] :
( status(sK46(X0,X1),sK47(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS191+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:52:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (14756)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (14757)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 % (14758)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (14761)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.39 TRYING [3]
% 0.21/0.39 % (14760)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.39 % (14759)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.39 % (14762)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.39 % (14763)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [4]
% 0.21/0.40 TRYING [1,1,1]
% 0.21/0.40 TRYING [1,1,1]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [2,1,2]
% 0.21/0.40 TRYING [2,1,2]
% 0.21/0.41 TRYING [2,2,2]
% 0.21/0.41 TRYING [2,2,2]
% 0.21/0.41 TRYING [3,3,2]
% 0.21/0.41 TRYING [4]
% 0.21/0.42 TRYING [3,3,2]
% 0.21/0.43 TRYING [4,4,2]
% 0.21/0.43 TRYING [4,4,2]
% 0.21/0.44 % (14761)First to succeed.
% 0.21/0.44 % (14761)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14756"
% 0.21/0.44 % (14761)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (14761)------------------------------
% 0.21/0.44 % (14761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (14761)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (14761)Memory used [KB]: 1428
% 0.21/0.44 % (14761)Time elapsed: 0.053 s
% 0.21/0.44 % (14761)Instructions burned: 74 (million)
% 0.21/0.44 % (14756)Success in time 0.081 s
%------------------------------------------------------------------------------