TSTP Solution File: KRS254+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS254+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 : n011.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 17:30:20 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 36 ~; 29 |; 19 &)
% ( 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; 3 con; 0-2 aty)
% Number of variables : 93 ( 70 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f222,plain,
$false,
inference(unit_resulting_resolution,[],[f96,f116,f126,f93]) ).
fof(f93,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( mighta(X0,X1)
<=> ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( mighta(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X6)
& status(X0,X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f126,plain,
! [X0] : status(X0,sK11,thm),
inference(unit_resulting_resolution,[],[f95,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ model(sK0(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( model(sK0(X0,X1),X0)
& ~ model(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
=> ( model(sK0(X0,X1),X0)
& ~ model(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ~ status(X0,X1,thm) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) )
& ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) ) ),
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] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f95,plain,
! [X1] : model(X1,sK11),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1] : model(X1,sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f38,f69]) ).
fof(f69,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK11) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f116,plain,
! [X0] : status(sK11,X0,unp),
inference(unit_resulting_resolution,[],[f95,f90]) ).
fof(f90,plain,
! [X0,X1,X5] :
( ~ model(X5,X1)
| status(X1,X0,unp) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| model(sK8(X1),X1)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( model(sK9(X0),X0)
& ! [X5] : ~ model(X5,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f63,f65,f64]) ).
fof(f64,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK8(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ? [X4] : model(X4,X0)
=> model(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| ? [X3] : model(X3,X1)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ? [X4] : model(X4,X0)
& ! [X5] : ~ model(X5,X1) ) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0) )
<=> status(X0,X1,unp) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( status(X0,X1,unp)
<=> ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unp) ).
fof(f96,plain,
~ mighta(unp,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(unp,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(unp,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_unp_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS254+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 : n011.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:36:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (27297)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 % (27292)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (27305)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.51 % (27297)First to succeed.
% 0.20/0.52 % (27297)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 % (27297)------------------------------
% 0.20/0.52 % (27297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (27297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (27297)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (27297)Memory used [KB]: 6012
% 0.20/0.52 % (27297)Time elapsed: 0.104 s
% 0.20/0.52 % (27297)Instructions burned: 4 (million)
% 0.20/0.52 % (27297)------------------------------
% 0.20/0.52 % (27297)------------------------------
% 0.20/0.52 % (27285)Success in time 0.161 s
%------------------------------------------------------------------------------