TSTP Solution File: KRS263+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS263+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_uns --cores 0 -t %d %s
% Computer : n002.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 17:30:21 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 161 ( 64 ~; 47 |; 32 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 125 ( 84 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f276,plain,
$false,
inference(avatar_sat_refutation,[],[f161,f219,f275]) ).
fof(f275,plain,
~ spl22_4,
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f274,plain,
( $false
| ~ spl22_4 ),
inference(subsumption_resolution,[],[f272,f88]) ).
fof(f88,plain,
~ mighta(wtc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wtc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wtc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wtc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wtc_thm) ).
fof(f272,plain,
( mighta(wtc,thm)
| ~ spl22_4 ),
inference(resolution,[],[f234,f120]) ).
fof(f120,plain,
! [X1] : status(X1,sK0,thm),
inference(resolution,[],[f105,f83]) ).
fof(f83,plain,
! [X1] : model(X1,sK0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1] : model(X1,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f43,f48]) ).
fof(f48,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f105,plain,
! [X0,X1] :
( ~ model(sK21(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK21(X0,X1),X1)
& model(sK21(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK21(X0,X1),X1)
& model(sK21(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f80,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,[],[f79]) ).
fof(f79,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,[],[f45]) ).
fof(f45,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(f234,plain,
( ! [X1] :
( ~ status(sK8,sK0,X1)
| mighta(wtc,X1) )
| ~ spl22_4 ),
inference(resolution,[],[f160,f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X1)
| ~ status(X3,X2,X0)
| mighta(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X3,X2,X1)
| ~ status(X3,X2,X0) )
| mighta(X1,X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X3,X2] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| mighta(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X7,X6] :
( mighta(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X6)
& status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f160,plain,
( status(sK8,sK0,wtc)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl22_4
<=> status(sK8,sK0,wtc) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f219,plain,
~ spl22_3,
inference(avatar_contradiction_clause,[],[f217]) ).
fof(f217,plain,
( $false
| ~ spl22_3 ),
inference(resolution,[],[f156,f94]) ).
fof(f94,plain,
~ model(sK9,sK8),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ~ model(sK9,sK8)
& model(sK10,sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f38,f64,f63,f62]) ).
fof(f62,plain,
( ? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) )
=> ( ? [X1] : ~ model(X1,sK8)
& ? [X2] : model(X2,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X1] : ~ model(X1,sK8)
=> ~ model(sK9,sK8) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
( ? [X2] : model(X2,sK8)
=> model(sK10,sK8) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
? [X9] :
( ? [X3] : ~ model(X3,X9)
& ? [X2] : model(X2,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable) ).
fof(f156,plain,
( ! [X3] : model(X3,sK8)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl22_3
<=> ! [X3] : model(X3,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f161,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f146,f158,f155]) ).
fof(f146,plain,
! [X3] :
( status(sK8,sK0,wtc)
| model(X3,sK8) ),
inference(resolution,[],[f142,f93]) ).
fof(f93,plain,
model(sK10,sK8),
inference(cnf_transformation,[],[f65]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ model(X2,X1)
| status(X1,sK0,wtc)
| model(X0,X1) ),
inference(resolution,[],[f89,f83]) ).
fof(f89,plain,
! [X0,X1,X7,X5] :
( ~ model(sK7(X1),X1)
| model(X7,X0)
| ~ model(X5,X0)
| status(X0,X1,wtc) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( ( model(sK5(X0),X0)
& ! [X3] : model(X3,X1)
& ~ model(sK6(X0),X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ! [X5] : ~ model(X5,X0)
| ~ model(sK7(X1),X1)
| ! [X7] : model(X7,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f57,f60,f59,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X2] : model(X2,X0)
=> model(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ? [X4] : ~ model(X4,X0)
=> ~ model(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X1] :
( ? [X6] : ~ model(X6,X1)
=> ~ model(sK7(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ! [X5] : ~ model(X5,X0)
| ? [X6] : ~ model(X6,X1)
| ! [X7] : model(X7,X0) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( ( ? [X3] : model(X3,X0)
& ! [X4] : model(X4,X1)
& ? [X2] : ~ model(X2,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ! [X3] : ~ model(X3,X0)
| ? [X4] : ~ model(X4,X1)
| ! [X2] : model(X2,X0) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ? [X3] : model(X3,X0)
& ! [X4] : model(X4,X1)
& ? [X2] : ~ model(X2,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ! [X3] : ~ model(X3,X0)
| ? [X4] : ~ model(X4,X1)
| ! [X2] : model(X2,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X0)
& ! [X4] : model(X4,X1)
& ? [X2] : ~ model(X2,X0) )
<=> status(X0,X1,wtc) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0)
& ! [X4] : model(X4,X1) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wtc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS263+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:53:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (23745)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (23752)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (23753)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (23744)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (23753)Refutation not found, incomplete strategy% (23753)------------------------------
% 0.20/0.51 % (23753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23745)First to succeed.
% 0.20/0.51 % (23753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23753)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (23753)Memory used [KB]: 1663
% 0.20/0.51 % (23753)Time elapsed: 0.103 s
% 0.20/0.51 % (23753)Instructions burned: 4 (million)
% 0.20/0.51 % (23753)------------------------------
% 0.20/0.51 % (23753)------------------------------
% 0.20/0.51 % (23744)Refutation not found, incomplete strategy% (23744)------------------------------
% 0.20/0.51 % (23744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23744)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (23744)Memory used [KB]: 5884
% 0.20/0.51 % (23744)Time elapsed: 0.108 s
% 0.20/0.51 % (23744)Instructions burned: 1 (million)
% 0.20/0.51 % (23744)------------------------------
% 0.20/0.51 % (23744)------------------------------
% 0.20/0.51 % (23745)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (23745)------------------------------
% 0.20/0.51 % (23745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (23745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (23745)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (23745)Memory used [KB]: 6012
% 0.20/0.51 % (23745)Time elapsed: 0.107 s
% 0.20/0.51 % (23745)Instructions burned: 5 (million)
% 0.20/0.51 % (23745)------------------------------
% 0.20/0.51 % (23745)------------------------------
% 0.20/0.51 % (23737)Success in time 0.159 s
%------------------------------------------------------------------------------