TSTP Solution File: KRS193+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n008.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 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 83 ( 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 : 2 ( 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(f249,plain,
$false,
inference(unit_resulting_resolution,[],[f148,f203,f99]) ).
fof(f99,plain,
! [X0,X1] :
( model(sK20(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ( ~ model(sK20(X0,X1),X0)
& model(sK20(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) )
=> ( ~ model(sK20(X0,X1),X0)
& model(sK20(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) ) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ( ! [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,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f203,plain,
! [X0] : ~ model(X0,sK1(cax,thm)),
inference(unit_resulting_resolution,[],[f152,f102]) ).
fof(f102,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,cax)
| ~ model(X3,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( status(X0,X1,cax)
| model(sK21(X0),X0) )
& ( ! [X3] : ~ model(X3,X0)
| ~ status(X0,X1,cax) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f78,f79]) ).
fof(f79,plain,
! [X0] :
( ? [X2] : model(X2,X0)
=> model(sK21(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ( status(X0,X1,cax)
| ? [X2] : model(X2,X0) )
& ( ! [X3] : ~ model(X3,X0)
| ~ status(X0,X1,cax) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ( status(X1,X0,cax)
| ? [X2] : model(X2,X1) )
& ( ! [X2] : ~ model(X2,X1)
| ~ status(X1,X0,cax) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( status(X1,X0,cax)
<=> ! [X2] : ~ model(X2,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ ? [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/sandbox/benchmark/theBenchmark.p',cax) ).
fof(f152,plain,
status(sK1(cax,thm),sK2(cax,thm),cax),
inference(unit_resulting_resolution,[],[f98,f83]) ).
fof(f83,plain,
! [X0,X1] :
( status(sK1(X0,X1),sK2(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( status(sK1(X0,X1),sK2(X0,X1),X0)
& ~ status(sK1(X0,X1),sK2(X0,X1),X1) )
| isa(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f45,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
=> ( status(sK1(X0,X1),sK2(X0,X1),X0)
& ~ status(sK1(X0,X1),sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( isa(X0,X1)
<=> ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,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(f98,plain,
~ isa(cax,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,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/sandbox/benchmark/theBenchmark.p',isa_cax_thm) ).
fof(f148,plain,
~ status(sK1(cax,thm),sK2(cax,thm),thm),
inference(unit_resulting_resolution,[],[f98,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ status(sK1(X0,X1),sK2(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS193+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
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:39:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (17854)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)
% 0.20/0.51 % (17843)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (17864)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (17855)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 % (17846)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 % (17856)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (17854)First to succeed.
% 0.20/0.52 % (17854)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (17854)------------------------------
% 0.20/0.52 % (17854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (17854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (17854)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (17854)Memory used [KB]: 6012
% 0.20/0.52 % (17854)Time elapsed: 0.109 s
% 0.20/0.52 % (17854)Instructions burned: 5 (million)
% 0.20/0.52 % (17854)------------------------------
% 0.20/0.52 % (17854)------------------------------
% 0.20/0.52 % (17842)Success in time 0.166 s
%------------------------------------------------------------------------------