TSTP Solution File: KRS194+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS194+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 : n001.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 17:30:00 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 108 ( 39 ~; 28 |; 23 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 2 ( 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 : 93 ( 73 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(unit_resulting_resolution,[],[f64,f68,f59]) ).
fof(f59,plain,
! [X0,X1] :
( model(sK2(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( ~ model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) )
=> ( ~ model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X1)
=> model(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f68,plain,
! [X0] : ~ model(X0,sK4(thm,sca)),
inference(unit_resulting_resolution,[],[f65,f56]) ).
fof(f56,plain,
! [X0,X1,X4] :
( ~ status(X1,X0,sca)
| ~ model(X4,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( status(X1,X0,sca)
| model(sK0(X1),X1)
| ! [X3] : ~ model(X3,X0) )
& ( ( ! [X4] : ~ model(X4,X1)
& model(sK1(X0),X0) )
| ~ status(X1,X0,sca) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f47,f46]) ).
fof(f46,plain,
! [X1] :
( ? [X2] : model(X2,X1)
=> model(sK0(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK1(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ( status(X1,X0,sca)
| ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( ( ! [X4] : ~ model(X4,X1)
& ? [X5] : model(X5,X0) )
| ~ status(X1,X0,sca) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( status(X1,X0,sca)
| ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( ( ! [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X0) )
| ~ status(X1,X0,sca) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( status(X1,X0,sca)
| ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( ( ! [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X0) )
| ~ status(X1,X0,sca) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( status(X1,X0,sca)
<=> ( ! [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X0)
& ~ ? [X2] : model(X2,X1) )
<=> status(X1,X0,sca) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] :
( status(X0,X1,sca)
<=> ( ~ ? [X2] : model(X2,X0)
& ? [X3] : model(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sca) ).
fof(f65,plain,
status(sK4(thm,sca),sK3(thm,sca),sca),
inference(unit_resulting_resolution,[],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] :
( status(sK4(X0,X1),sK3(X0,X1),X1)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ~ status(sK4(X0,X1),sK3(X0,X1),X0)
& status(sK4(X0,X1),sK3(X0,X1),X1) )
| isa(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f40,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
=> ( ~ status(sK4(X0,X1),sK3(X0,X1),X0)
& status(sK4(X0,X1),sK3(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
| isa(X1,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X3,X2,X1)
=> status(X3,X2,X0) )
=> isa(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( isa(X1,X0)
<=> ! [X2,X3] :
( status(X3,X2,X1)
=> status(X3,X2,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X7,X6] :
( isa(X6,X7)
<=> ! [X1,X0] :
( status(X0,X1,X6)
=> status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f61,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/sandbox2/benchmark/theBenchmark.p',isa_sca_thm) ).
fof(f64,plain,
~ status(sK4(thm,sca),sK3(thm,sca),thm),
inference(unit_resulting_resolution,[],[f61,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ status(sK4(X0,X1),sK3(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS194+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.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 00:57:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (4974)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.46 % (4951)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)
% 0.19/0.47 % (4951)First to succeed.
% 0.19/0.47 % (4951)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (4951)------------------------------
% 0.19/0.47 % (4951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (4951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (4951)Termination reason: Refutation
% 0.19/0.47
% 0.19/0.47 % (4951)Memory used [KB]: 5884
% 0.19/0.47 % (4951)Time elapsed: 0.071 s
% 0.19/0.47 % (4951)Instructions burned: 1 (million)
% 0.19/0.47 % (4951)------------------------------
% 0.19/0.47 % (4951)------------------------------
% 0.19/0.47 % (4947)Success in time 0.121 s
%------------------------------------------------------------------------------