TSTP Solution File: KRS194+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS194+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Mon May 20 23:22:29 EDT 2024
% Result : Theorem 1.78s 0.61s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 107 ( 38 ~; 30 |; 23 &)
% ( 7 <=>; 9 =>; 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 : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 92 ( 72 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12038,plain,
$false,
inference(subsumption_resolution,[],[f11987,f234]) ).
fof(f234,plain,
~ isa(sca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(sca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(sca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(sca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_sca_thm) ).
fof(f11987,plain,
isa(sca,thm),
inference(resolution,[],[f7937,f1648]) ).
fof(f1648,plain,
! [X0,X1] :
( ~ model(X1,sK46(sca,X0))
| isa(sca,X0) ),
inference(resolution,[],[f318,f241]) ).
fof(f241,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,sca)
| ~ model(X3,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( ( model(sK9(X1),X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X4] : ~ model(X4,X1)
| model(sK10(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f93,f95,f94]) ).
fof(f94,plain,
! [X1] :
( ? [X2] : model(X2,X1)
=> model(sK9(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK10(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X4] : ~ model(X4,X1)
| ? [X5] : model(X5,X0) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
<=> status(X0,X1,sca) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
& ~ ? [X3] : model(X3,X0) )
<=> status(X0,X1,sca) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ( ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,sca) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sca) ).
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(f7937,plain,
model(sK45(sK46(sca,thm),sK47(sca,thm)),sK46(sca,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
% 0.07/0.12 % Problem : KRS194+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.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 : Sat May 18 22:02:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (23838)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (23843)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.40 % (23840)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40 % (23839)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.40 % (23842)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.40 % (23841)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)
% 0.15/0.40 % (23844)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.40 % (23845)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)
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [1]
% 0.22/0.41 TRYING [2]
% 0.22/0.41 TRYING [2]
% 0.22/0.42 TRYING [1,1,1]
% 0.22/0.42 TRYING [1,1,1]
% 0.22/0.42 TRYING [2,1,2]
% 0.22/0.42 TRYING [2,1,2]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [2,2,2]
% 0.22/0.42 TRYING [2,2,2]
% 0.22/0.43 TRYING [3,3,2]
% 0.22/0.43 TRYING [3,3,2]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [4]
% 0.22/0.44 TRYING [4,4,2]
% 0.22/0.45 TRYING [4,4,2]
% 0.22/0.46 TRYING [5]
% 0.22/0.48 TRYING [4,4,3]
% 0.22/0.48 TRYING [4,4,3]
% 0.22/0.49 TRYING [5]
% 0.22/0.52 TRYING [5,5,2]
% 0.22/0.52 TRYING [5,5,2]
% 0.22/0.53 TRYING [6]
% 0.22/0.58 TRYING [5,4,3]
% 0.22/0.58 TRYING [6]
% 0.22/0.59 TRYING [4,4,4]
% 1.78/0.61 % (23843)First to succeed.
% 1.78/0.61 % (23843)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23838"
% 1.78/0.61 % (23843)Refutation found. Thanks to Tanya!
% 1.78/0.61 % SZS status Theorem for theBenchmark
% 1.78/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.61 % (23843)------------------------------
% 1.78/0.61 % (23843)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.78/0.61 % (23843)Termination reason: Refutation
% 1.78/0.61
% 1.78/0.61 % (23843)Memory used [KB]: 2612
% 1.78/0.61 % (23843)Time elapsed: 0.212 s
% 1.78/0.61 % (23843)Instructions burned: 329 (million)
% 1.78/0.61 % (23838)Success in time 0.228 s
%------------------------------------------------------------------------------