TSTP Solution File: KRS268+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS268+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 : n021.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 07:20:18 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 68 ( 16 unt; 0 def)
% Number of atoms : 185 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 196 ( 79 ~; 56 |; 39 &)
% ( 13 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 139 ( 93 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5177,plain,
$false,
inference(avatar_sat_refutation,[],[f2342,f2345,f5136,f5143,f5176]) ).
fof(f5176,plain,
~ spl97_70,
inference(avatar_contradiction_clause,[],[f5148]) ).
fof(f5148,plain,
( $false
| ~ spl97_70 ),
inference(resolution,[],[f5135,f286]) ).
fof(f286,plain,
! [X1] : ~ model(X1,sK44),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X1] : ~ model(X1,sK44),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f55,f189]) ).
fof(f189,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK44) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f5135,plain,
( model(sK6(sK44),sK44)
| ~ spl97_70 ),
inference(avatar_component_clause,[],[f5133]) ).
fof(f5133,plain,
( spl97_70
<=> model(sK6(sK44),sK44) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_70])]) ).
fof(f5143,plain,
( spl97_12
| ~ spl97_69 ),
inference(avatar_contradiction_clause,[],[f5142]) ).
fof(f5142,plain,
( $false
| spl97_12
| ~ spl97_69 ),
inference(resolution,[],[f5131,f2341]) ).
fof(f2341,plain,
( ~ sP64(sK57)
| spl97_12 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2339,plain,
( spl97_12
<=> sP64(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_12])]) ).
fof(f5131,plain,
( ! [X0] : sP64(X0)
| ~ spl97_69 ),
inference(avatar_component_clause,[],[f5130]) ).
fof(f5130,plain,
( spl97_69
<=> ! [X0] : sP64(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_69])]) ).
fof(f5136,plain,
( spl97_69
| spl97_70 ),
inference(avatar_split_clause,[],[f4879,f5133,f5130]) ).
fof(f4879,plain,
! [X0] :
( model(sK6(sK44),sK44)
| sP64(X0) ),
inference(resolution,[],[f4877,f309]) ).
fof(f309,plain,
! [X0,X1] :
( status(X0,X1,wca)
| model(sK6(X0),X0)
| sP64(X1) ),
inference(cnf_transformation,[],[f309_D]) ).
fof(f309_D,plain,
! [X1] :
( ! [X0] :
( status(X0,X1,wca)
| model(sK6(X0),X0) )
<=> ~ sP64(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP64])]) ).
fof(f4877,plain,
! [X0] : ~ status(sK44,X0,wca),
inference(resolution,[],[f2010,f1462]) ).
fof(f1462,plain,
! [X0] : status(sK44,X0,thm),
inference(resolution,[],[f272,f286]) ).
fof(f272,plain,
! [X0,X1] :
( model(sK38(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK38(X0,X1),X1)
& model(sK38(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f173,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK38(X0,X1),X1)
& model(sK38(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f173,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,[],[f172]) ).
fof(f172,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(f2010,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wca) ),
inference(resolution,[],[f281,f205]) ).
fof(f205,plain,
~ mighta(wca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wca_thm) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( mighta(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,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f2345,plain,
spl97_11,
inference(avatar_contradiction_clause,[],[f2343]) ).
fof(f2343,plain,
( $false
| spl97_11 ),
inference(resolution,[],[f2337,f424]) ).
fof(f424,plain,
sP65(sK57),
inference(resolution,[],[f311,f298]) ).
fof(f298,plain,
model(sK58,sK57),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( model(sK58,sK57)
& ~ model(sK55,sK57)
& model(sK55,sK56) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57,sK58])],[f59,f203,f202]) ).
fof(f202,plain,
( ? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) )
=> ( ? [X3] : model(X3,sK57)
& ~ model(sK55,sK57)
& model(sK55,sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
( ? [X3] : model(X3,sK57)
=> model(sK58,sK57) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
? [X2,X0,X1] :
( ? [X3] : model(X3,X1)
& ~ model(X2,X1)
& model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_thm_spt) ).
fof(f311,plain,
! [X1,X6] :
( ~ model(X6,X1)
| sP65(X1) ),
inference(cnf_transformation,[],[f311_D]) ).
fof(f311_D,plain,
! [X1] :
( ! [X6] : ~ model(X6,X1)
<=> ~ sP65(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP65])]) ).
fof(f2337,plain,
( ~ sP65(sK57)
| spl97_11 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2335,plain,
( spl97_11
<=> sP65(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_11])]) ).
fof(f2342,plain,
( ~ spl97_11
| ~ spl97_12 ),
inference(avatar_split_clause,[],[f953,f2339,f2335]) ).
fof(f953,plain,
( ~ sP64(sK57)
| ~ sP65(sK57) ),
inference(resolution,[],[f312,f297]) ).
fof(f297,plain,
~ model(sK55,sK57),
inference(cnf_transformation,[],[f204]) ).
fof(f312,plain,
! [X1,X5] :
( model(X5,X1)
| ~ sP64(X1)
| ~ sP65(X1) ),
inference(general_splitting,[],[f310,f311_D]) ).
fof(f310,plain,
! [X1,X6,X5] :
( model(X5,X1)
| ~ model(X6,X1)
| ~ sP64(X1) ),
inference(general_splitting,[],[f214,f309_D]) ).
fof(f214,plain,
! [X0,X1,X6,X5] :
( status(X0,X1,wca)
| model(X5,X1)
| ~ model(X6,X1)
| model(sK6(X0),X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( ( ~ model(sK4(X1),X1)
& model(sK5(X1),X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X5] : model(X5,X1)
| ! [X6] : ~ model(X6,X1)
| model(sK6(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f87,f90,f89,f88]) ).
fof(f88,plain,
! [X1] :
( ? [X2] : ~ model(X2,X1)
=> ~ model(sK4(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK5(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ? [X7] : model(X7,X0)
=> model(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X5] : model(X5,X1)
| ! [X6] : ~ model(X6,X1)
| ? [X7] : model(X7,X0) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
<=> status(X0,X1,wca) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X4] : model(X4,X0) )
<=> status(X0,X1,wca) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,wca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wca) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS268+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:50:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (24575)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (24578)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)
% 0.14/0.38 % (24576)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (24579)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (24577)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (24580)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (24581)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (24582)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1,1,1]
% 0.14/0.39 TRYING [1,1,1]
% 0.14/0.39 TRYING [2,1,2]
% 0.14/0.39 TRYING [2,1,2]
% 0.14/0.39 TRYING [2,2,2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2,2,2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3,3,2]
% 0.14/0.40 TRYING [3,3,2]
% 0.14/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.41 TRYING [4,4,2]
% 0.21/0.41 TRYING [4,4,2]
% 0.21/0.42 TRYING [5]
% 0.21/0.43 TRYING [4,4,3]
% 0.21/0.44 TRYING [4,4,3]
% 0.21/0.44 % (24578)First to succeed.
% 0.21/0.44 TRYING [5]
% 0.21/0.44 % (24578)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24575"
% 0.21/0.44 % (24580)Also succeeded, but the first one will report.
% 0.21/0.44 % (24578)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 % (24578)------------------------------
% 0.21/0.44 % (24578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (24578)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (24578)Memory used [KB]: 1908
% 0.21/0.44 % (24578)Time elapsed: 0.066 s
% 0.21/0.44 % (24578)Instructions burned: 134 (million)
% 0.21/0.44 % (24575)Success in time 0.071 s
%------------------------------------------------------------------------------