TSTP Solution File: KRS193+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS193+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 : n029.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 07:19:59 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 84 ( 31 ~; 24 |; 15 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 62 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6325,plain,
$false,
inference(subsumption_resolution,[],[f6282,f234]) ).
fof(f234,plain,
~ isa(cax,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(cax,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(cax,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(cax,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_cax_thm) ).
fof(f6282,plain,
isa(cax,thm),
inference(resolution,[],[f6239,f1646]) ).
fof(f1646,plain,
! [X0,X1] :
( ~ model(X1,sK46(cax,X0))
| isa(cax,X0) ),
inference(resolution,[],[f318,f311]) ).
fof(f311,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,cax)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) )
& ( status(X0,X1,cax)
| model(sK43(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f192,f193]) ).
fof(f193,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK43(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) )
& ( status(X0,X1,cax)
| ? [X3] : model(X3,X0) ) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) )
& ( status(X0,X1,cax)
| ? [X2] : model(X2,X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cax) ).
fof(f318,plain,
! [X0,X1] :
( status(sK46(X0,X1),sK47(X0,X1),X0)
| 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/sandbox/benchmark/theBenchmark.p',isa) ).
fof(f6239,plain,
model(sK45(sK46(cax,thm),sK47(cax,thm)),sK46(cax,thm)),
inference(resolution,[],[f1665,f234]) ).
fof(f1665,plain,
! [X0] :
( isa(X0,thm)
| model(sK45(sK46(X0,thm),sK47(X0,thm)),sK46(X0,thm)) ),
inference(resolution,[],[f319,f315]) ).
fof(f315,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK45(X0,X1),X0) ),
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/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f319,plain,
! [X0,X1] :
( ~ status(sK46(X0,X1),sK47(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS193+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.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 : Fri May 3 19:52:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (22888)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (22890)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (22892)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (22891)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)
% 0.15/0.38 % (22893)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (22894)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (22889)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (22895)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.40 TRYING [3,3,2]
% 0.15/0.40 TRYING [3,3,2]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [4]
% 0.15/0.41 TRYING [4,4,2]
% 0.15/0.41 TRYING [4,4,2]
% 0.22/0.43 TRYING [5]
% 0.22/0.45 TRYING [4,4,3]
% 0.22/0.46 TRYING [5]
% 0.22/0.46 TRYING [4,4,3]
% 0.22/0.46 % (22893)First to succeed.
% 0.22/0.46 % (22893)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22888"
% 0.22/0.46 % (22893)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Theorem for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (22893)------------------------------
% 0.22/0.46 % (22893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.46 % (22893)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (22893)Memory used [KB]: 1891
% 0.22/0.46 % (22893)Time elapsed: 0.079 s
% 0.22/0.46 % (22893)Instructions burned: 140 (million)
% 0.22/0.46 % (22888)Success in time 0.097 s
%------------------------------------------------------------------------------