TSTP Solution File: KRS192+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS192+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 : n005.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 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 10 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 191 ( 68 ~; 48 |; 53 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 124 ( 90 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(subsumption_resolution,[],[f252,f131]) ).
fof(f131,plain,
model(sK6(sK8(wth,thm),sK7(wth,thm)),sK8(wth,thm)),
inference(unit_resulting_resolution,[],[f120,f97]) ).
fof(f97,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( model(sK6(X0,X1),X0)
& ~ model(sK6(X0,X1),X1) ) )
& ( ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f59,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
=> ( model(sK6(X0,X1),X0)
& ~ model(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,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,[],[f58]) ).
fof(f58,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,[],[f48]) ).
fof(f48,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] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f120,plain,
~ status(sK8(wth,thm),sK7(wth,thm),thm),
inference(resolution,[],[f98,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ status(sK8(X0,X1),sK7(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( ~ status(sK8(X0,X1),sK7(X0,X1),X1)
& status(sK8(X0,X1),sK7(X0,X1),X0) )
| isa(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f62,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X3,X2,X1)
& status(X3,X2,X0) )
=> ( ~ status(sK8(X0,X1),sK7(X0,X1),X1)
& status(sK8(X0,X1),sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X3,X2,X1)
& status(X3,X2,X0) )
| isa(X0,X1) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ? [X2,X3] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
| isa(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ! [X3,X2] :
( 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)
<=> ! [X3,X2] :
( status(X3,X2,X1)
=> status(X3,X2,X0) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X7,X6] :
( ! [X1,X0] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f98,plain,
~ isa(wth,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(wth,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(wth,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(wth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wth_thm) ).
fof(f252,plain,
~ model(sK6(sK8(wth,thm),sK7(wth,thm)),sK8(wth,thm)),
inference(unit_resulting_resolution,[],[f117,f130,f110]) ).
fof(f110,plain,
! [X0,X1,X9] :
( model(X9,X0)
| ~ status(X1,X0,wth)
| ~ model(X9,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( status(X1,X0,wth)
| ! [X2] : model(X2,X0)
| ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ! [X4] : ~ model(X4,X1)
| ( model(sK21(X0,X1),X1)
& ~ model(sK21(X0,X1),X0) ) )
& ( ( ~ model(sK22(X0),X0)
& model(sK23(X0,X1),X0)
& ~ model(sK23(X0,X1),X1)
& model(sK24(X1),X1)
& ! [X9] :
( ~ model(X9,X1)
| model(X9,X0) ) )
| ~ status(X1,X0,wth) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24])],[f83,f87,f86,f85,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) )
=> ( model(sK21(X0,X1),X1)
& ~ model(sK21(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X6] : ~ model(X6,X0)
=> ~ model(sK22(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X7] :
( model(X7,X0)
& ~ model(X7,X1) )
=> ( model(sK23(X0,X1),X0)
& ~ model(sK23(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X1] :
( ? [X8] : model(X8,X1)
=> model(sK24(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1] :
( ( status(X1,X0,wth)
| ! [X2] : model(X2,X0)
| ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ! [X4] : ~ model(X4,X1)
| ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) ) )
& ( ( ? [X6] : ~ model(X6,X0)
& ? [X7] :
( model(X7,X0)
& ~ model(X7,X1) )
& ? [X8] : model(X8,X1)
& ! [X9] :
( ~ model(X9,X1)
| model(X9,X0) ) )
| ~ status(X1,X0,wth) ) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X0] :
( ( status(X0,X1,wth)
| ! [X3] : model(X3,X1)
| ! [X5] :
( ~ model(X5,X1)
| model(X5,X0) )
| ! [X4] : ~ model(X4,X0)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ( ? [X3] : ~ model(X3,X1)
& ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) )
& ? [X4] : model(X4,X0)
& ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) )
| ~ status(X0,X1,wth) ) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ( status(X0,X1,wth)
| ! [X3] : model(X3,X1)
| ! [X5] :
( ~ model(X5,X1)
| model(X5,X0) )
| ! [X4] : ~ model(X4,X0)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ( ? [X3] : ~ model(X3,X1)
& ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) )
& ? [X4] : model(X4,X0)
& ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) )
| ~ status(X0,X1,wth) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( status(X0,X1,wth)
<=> ( ? [X3] : ~ model(X3,X1)
& ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) )
& ? [X4] : model(X4,X0)
& ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
& ? [X4] : model(X4,X0)
& ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) )
& ? [X3] : ~ model(X3,X1) )
<=> status(X0,X1,wth) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ( ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X5] : ~ model(X5,X1)
& ? [X2] : model(X2,X0)
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
<=> status(X0,X1,wth) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wth) ).
fof(f130,plain,
~ model(sK6(sK8(wth,thm),sK7(wth,thm)),sK7(wth,thm)),
inference(unit_resulting_resolution,[],[f120,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ model(sK6(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f61]) ).
fof(f117,plain,
status(sK8(wth,thm),sK7(wth,thm),wth),
inference(unit_resulting_resolution,[],[f98,f99]) ).
fof(f99,plain,
! [X0,X1] :
( status(sK8(X0,X1),sK7(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS192+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % 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 : n005.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 00:35:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (11092)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (11108)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50 % (11092)First to succeed.
% 0.20/0.51 % (11100)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (11092)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (11092)------------------------------
% 0.20/0.51 % (11092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (11092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (11092)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (11092)Memory used [KB]: 6140
% 0.20/0.51 % (11092)Time elapsed: 0.098 s
% 0.20/0.51 % (11092)Instructions burned: 7 (million)
% 0.20/0.51 % (11092)------------------------------
% 0.20/0.51 % (11092)------------------------------
% 0.20/0.51 % (11084)Success in time 0.162 s
%------------------------------------------------------------------------------