TSTP Solution File: KRS215+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS215+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 : n015.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 17:30:06 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 161 ( 65 ~; 47 |; 34 &)
% ( 7 <=>; 8 =>; 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 114 ( 82 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f151,plain,
$false,
inference(resolution,[],[f131,f110]) ).
fof(f110,plain,
! [X1] : ~ model(X1,sK19),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X1] : ~ model(X1,sK19),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f37,f82]) ).
fof(f82,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK19) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f131,plain,
! [X21] : model(sK3,X21),
inference(resolution,[],[f122,f85]) ).
fof(f85,plain,
model(sK3,sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( ~ model(sK2,sK1)
| ~ model(sK2,sK0) )
& model(sK3,sK0)
& model(sK3,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f42,f51,f50,f49]) ).
fof(f49,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) )
& ? [X3] :
( model(X3,X0)
& model(X3,X1) ) )
=> ( ? [X2] :
( ~ model(X2,sK1)
| ~ model(X2,sK0) )
& ? [X3] :
( model(X3,sK0)
& model(X3,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
( ? [X2] :
( ~ model(X2,sK1)
| ~ model(X2,sK0) )
=> ( ~ model(sK2,sK1)
| ~ model(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X3] :
( model(X3,sK0)
& model(X3,sK1) )
=> ( model(sK3,sK0)
& model(sK3,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) )
& ? [X3] :
( model(X3,X0)
& model(X3,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
? [X0,X1] :
( ? [X3] :
( ~ model(X3,X0)
| ~ model(X3,X1) )
& ? [X2] :
( model(X2,X0)
& model(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sat_non_taut_pair) ).
fof(f122,plain,
! [X3,X4,X5] :
( ~ model(X5,X3)
| model(X5,X4) ),
inference(subsumption_resolution,[],[f115,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( model(X2,X1)
| ~ status(X0,X1,thm)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( model(sK4(X0,X1),X0)
& ~ model(sK4(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f54,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
=> ( model(sK4(X0,X1),X0)
& ~ model(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) ) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
<=> 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(f115,plain,
! [X3,X4,X5] :
( status(X3,X4,thm)
| ~ model(X5,X3)
| model(X5,X4) ),
inference(resolution,[],[f112,f101]) ).
fof(f101,plain,
! [X0,X1] :
( model(X1,X0)
| model(X1,not(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ~ model(X1,not(X0))
| ~ model(X1,X0) )
& ( model(X1,X0)
| model(X1,not(X0)) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ( ~ model(X0,not(X1))
| ~ model(X0,X1) )
& ( model(X0,X1)
| model(X0,not(X1)) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ~ model(X0,not(X1))
<=> model(X0,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X8,X9] :
( ~ model(X8,not(X9))
<=> model(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ model(X2,not(X1))
| status(X0,X1,thm)
| ~ model(X2,X0) ),
inference(resolution,[],[f111,f106]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ model(X3,not(X0))
| ~ model(X3,X1)
| status(X1,X0,csa) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( ( model(sK18(X0,X1),X1)
& model(sK18(X0,X1),not(X0)) )
| ~ status(X1,X0,csa) )
& ( status(X1,X0,csa)
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,not(X0)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f79,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& model(X2,not(X0)) )
=> ( model(sK18(X0,X1),X1)
& model(sK18(X0,X1),not(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,X1)
& model(X2,not(X0)) )
| ~ status(X1,X0,csa) )
& ( status(X1,X0,csa)
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,not(X0)) ) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( ( ? [X2] :
( model(X2,X0)
& model(X2,not(X1)) )
| ~ status(X0,X1,csa) )
& ( status(X0,X1,csa)
| ! [X2] :
( ~ model(X2,X0)
| ~ model(X2,not(X1)) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( ? [X2] :
( model(X2,X0)
& model(X2,not(X1)) )
<=> status(X0,X1,csa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csa) ).
fof(f111,plain,
! [X0,X1] :
( ~ status(X0,X1,csa)
| status(X0,X1,thm) ),
inference(resolution,[],[f109,f105]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( nota(X1,X0)
| ~ status(X2,X3,X1)
| status(X2,X3,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( nota(X1,X0)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| status(X2,X3,X0) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( nota(X1,X0)
| ! [X3,X2] :
( ~ status(X3,X2,X1)
| status(X3,X2,X0) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X3,X2] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
=> nota(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X3,X2] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
<=> nota(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X7,X6] :
( nota(X6,X7)
<=> ? [X1,X0] :
( status(X0,X1,X6)
& ~ status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).
fof(f109,plain,
~ nota(csa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nota(csa,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(csa,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(csa,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_csa_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13 % 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 : n015.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 00:48:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.53 % (31321)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)
% 0.21/0.53 % (31328)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.54 % (31345)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)
% 0.21/0.54 % (31328)First to succeed.
% 0.21/0.55 % (31328)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (31328)------------------------------
% 0.21/0.55 % (31328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (31328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (31328)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (31328)Memory used [KB]: 6012
% 0.21/0.55 % (31328)Time elapsed: 0.120 s
% 0.21/0.55 % (31328)Instructions burned: 2 (million)
% 0.21/0.55 % (31328)------------------------------
% 0.21/0.55 % (31328)------------------------------
% 0.21/0.55 % (31311)Success in time 0.194 s
%------------------------------------------------------------------------------