TSTP Solution File: KRS193+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS193+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_sat --cores 0 -t %d %s
% Computer : n027.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 17:31:04 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 85 ( 33 ~; 22 |; 15 &)
% ( 7 <=>; 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 : 74 ( 62 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f435,plain,
$false,
inference(subsumption_resolution,[],[f434,f361]) ).
fof(f361,plain,
! [X0] : ~ model(X0,sK11(thm,cax)),
inference(resolution,[],[f360,f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,cax)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| ~ status(X1,X0,cax) )
& ( status(X1,X0,cax)
| model(sK27(X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f138,f139]) ).
fof(f139,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK27(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| ~ status(X1,X0,cax) )
& ( status(X1,X0,cax)
| ? [X3] : model(X3,X1) ) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| ~ status(X1,X0,cax) )
& ( status(X1,X0,cax)
| ? [X2] : model(X2,X1) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X1)
<=> status(X1,X0,cax) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ~ ? [X2] : model(X2,X1)
<=> status(X1,X0,cax) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cax) ).
fof(f360,plain,
status(sK11(thm,cax),sK12(thm,cax),cax),
inference(resolution,[],[f231,f215]) ).
fof(f215,plain,
~ isa(cax,thm),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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/sandbox2/benchmark/theBenchmark.p',isa_cax_thm) ).
fof(f231,plain,
! [X0,X1] :
( isa(X1,X0)
| status(sK11(X0,X1),sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( ~ status(sK11(X0,X1),sK12(X0,X1),X0)
& status(sK11(X0,X1),sK12(X0,X1),X1) )
| isa(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f73,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X0)
& status(X2,X3,X1) )
=> ( ~ status(sK11(X0,X1),sK12(X0,X1),X0)
& status(sK11(X0,X1),sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X0)
& status(X2,X3,X1) )
| isa(X1,X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ! [X3,X2] :
( status(X2,X3,X1)
=> status(X2,X3,X0) )
=> isa(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( isa(X1,X0)
<=> ! [X3,X2] :
( status(X2,X3,X1)
=> status(X2,X3,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X7,X6] :
( isa(X6,X7)
<=> ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f434,plain,
model(sK29(sK12(thm,cax),sK11(thm,cax)),sK11(thm,cax)),
inference(resolution,[],[f432,f261]) ).
fof(f261,plain,
! [X0,X1] :
( status(X1,X0,thm)
| model(sK29(X0,X1),X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( ~ model(sK29(X0,X1),X0)
& model(sK29(X0,X1),X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f144,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK29(X0,X1),X0)
& model(sK29(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f143]) ).
fof(f143,plain,
! [X1,X0] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) ) ),
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(f432,plain,
~ status(sK11(thm,cax),sK12(thm,cax),thm),
inference(resolution,[],[f232,f215]) ).
fof(f232,plain,
! [X0,X1] :
( isa(X1,X0)
| ~ status(sK11(X0,X1),sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:50:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (29753)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48 % (29773)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.48 % (29761)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (29776)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 % (29773)First to succeed.
% 0.20/0.51 % (29763)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (29773)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 % (29773)------------------------------
% 0.20/0.51 % (29773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (29773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (29773)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (29773)Memory used [KB]: 1151
% 0.20/0.51 % (29773)Time elapsed: 0.112 s
% 0.20/0.51 % (29773)Instructions burned: 10 (million)
% 0.20/0.51 % (29773)------------------------------
% 0.20/0.51 % (29773)------------------------------
% 0.20/0.51 % (29748)Success in time 0.165 s
%------------------------------------------------------------------------------