TSTP Solution File: KRS235+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS235+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 17:30:13 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 150 ( 50 ~; 43 |; 40 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 102 ( 81 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(subsumption_resolution,[],[f153,f132]) ).
fof(f132,plain,
model(sK4(sK15(thm,noc),sK16(thm,noc)),sK15(thm,noc)),
inference(resolution,[],[f121,f120]) ).
fof(f120,plain,
! [X0] :
( ~ model(X0,sK16(thm,noc))
| model(X0,sK15(thm,noc)) ),
inference(resolution,[],[f118,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,thm)
| model(X2,X0)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ( ~ model(sK11(X0,X1),X0)
& model(sK11(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) )
=> ( ~ model(sK11(X0,X1),X0)
& model(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f68,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,[],[f67]) ).
fof(f67,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,[],[f48]) ).
fof(f48,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(f118,plain,
status(sK16(thm,noc),sK15(thm,noc),thm),
inference(resolution,[],[f101,f109]) ).
fof(f109,plain,
! [X0,X1] :
( status(sK16(X0,X1),sK15(X0,X1),X0)
| nevera(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( status(sK16(X0,X1),sK15(X0,X1),X1)
& status(sK16(X0,X1),sK15(X0,X1),X0) )
| nevera(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f76,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X3,X2,X1)
& status(X3,X2,X0) )
=> ( status(sK16(X0,X1),sK15(X0,X1),X1)
& status(sK16(X0,X1),sK15(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X3,X2,X1)
& status(X3,X2,X0) )
| nevera(X1,X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
| nevera(X1,X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X1)
=> ~ status(X2,X3,X0) )
=> nevera(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X1)
=> ~ status(X2,X3,X0) )
<=> nevera(X1,X0) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X7,X6] :
( nevera(X6,X7)
<=> ! [X0,X1] :
( status(X0,X1,X6)
=> ~ status(X0,X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera) ).
fof(f101,plain,
~ nevera(noc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nevera(noc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nevera(noc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nevera(noc,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera_noc_thm) ).
fof(f121,plain,
model(sK4(sK15(thm,noc),sK16(thm,noc)),sK16(thm,noc)),
inference(resolution,[],[f119,f93]) ).
fof(f93,plain,
! [X0,X1] :
( model(sK4(X0,X1),X1)
| ~ status(X1,X0,noc) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( status(X1,X0,noc)
| ! [X2] :
( ~ model(X2,not(X0))
| ~ model(X2,X1) )
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) )
& ( ( model(sK4(X0,X1),not(X0))
& model(sK4(X0,X1),X1)
& model(sK5(X0,X1),X1)
& model(sK5(X0,X1),X0) )
| ~ status(X1,X0,noc) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f57,f59,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X4] :
( model(X4,not(X0))
& model(X4,X1) )
=> ( model(sK4(X0,X1),not(X0))
& model(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X5] :
( model(X5,X1)
& model(X5,X0) )
=> ( model(sK5(X0,X1),X1)
& model(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( status(X1,X0,noc)
| ! [X2] :
( ~ model(X2,not(X0))
| ~ model(X2,X1) )
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) )
& ( ( ? [X4] :
( model(X4,not(X0))
& model(X4,X1) )
& ? [X5] :
( model(X5,X1)
& model(X5,X0) ) )
| ~ status(X1,X0,noc) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( status(X1,X0,noc)
| ! [X3] :
( ~ model(X3,not(X0))
| ~ model(X3,X1) )
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) ) )
& ( ( ? [X3] :
( model(X3,not(X0))
& model(X3,X1) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) )
| ~ status(X1,X0,noc) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( status(X1,X0,noc)
| ! [X3] :
( ~ model(X3,not(X0))
| ~ model(X3,X1) )
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) ) )
& ( ( ? [X3] :
( model(X3,not(X0))
& model(X3,X1) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) )
| ~ status(X1,X0,noc) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( status(X1,X0,noc)
<=> ( ? [X3] :
( model(X3,not(X0))
& model(X3,X1) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] :
( ( ? [X2] :
( model(X2,X1)
& model(X2,X0) )
& ? [X3] :
( model(X3,not(X1))
& model(X3,X0) ) )
<=> status(X0,X1,noc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noc) ).
fof(f119,plain,
status(sK16(thm,noc),sK15(thm,noc),noc),
inference(resolution,[],[f101,f110]) ).
fof(f110,plain,
! [X0,X1] :
( nevera(X1,X0)
| status(sK16(X0,X1),sK15(X0,X1),X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f153,plain,
~ model(sK4(sK15(thm,noc),sK16(thm,noc)),sK15(thm,noc)),
inference(resolution,[],[f123,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
| ~ model(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( model(X1,X0)
| model(X1,not(X0)) )
& ( ~ model(X1,not(X0))
| ~ model(X1,X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( model(X1,X0)
<=> ~ model(X1,not(X0)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X9,X8] :
( ~ model(X8,not(X9))
<=> model(X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not) ).
fof(f123,plain,
model(sK4(sK15(thm,noc),sK16(thm,noc)),not(sK15(thm,noc))),
inference(resolution,[],[f119,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ status(X1,X0,noc)
| model(sK4(X0,X1),not(X0)) ),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS235+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
% 0.12/0.34 % 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 00:59:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 % (13128)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)
% 0.19/0.53 % (13122)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)
% 0.19/0.54 % (13128)First to succeed.
% 0.19/0.55 % (13120)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (13128)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (13128)------------------------------
% 0.19/0.55 % (13128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (13128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (13128)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (13128)Memory used [KB]: 6012
% 0.19/0.55 % (13128)Time elapsed: 0.122 s
% 0.19/0.55 % (13128)Instructions burned: 2 (million)
% 0.19/0.55 % (13128)------------------------------
% 0.19/0.55 % (13128)------------------------------
% 0.19/0.55 % (13117)Success in time 0.201 s
%------------------------------------------------------------------------------