TSTP Solution File: KRS189+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS189+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 : n028.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 17:29:59 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 6 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 183 ( 61 ~; 63 |; 39 &)
% ( 9 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 112 ( 87 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,plain,
$false,
inference(subsumption_resolution,[],[f152,f104]) ).
fof(f104,plain,
~ isa(eth,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(eth,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(eth,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(eth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_eth_thm) ).
fof(f152,plain,
isa(eth,thm),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
( isa(eth,thm)
| isa(eth,thm) ),
inference(resolution,[],[f149,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ status(sK23(X0,X1),sK22(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( status(sK23(X0,X1),sK22(X0,X1),X1)
& ~ status(sK23(X0,X1),sK22(X0,X1),X0) )
| isa(X1,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X3,X2,X1)
& ~ status(X3,X2,X0) )
=> ( status(sK23(X0,X1),sK22(X0,X1),X1)
& ~ status(sK23(X0,X1),sK22(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X3,X2,X1)
& ~ status(X3,X2,X0) )
| isa(X1,X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ? [X2,X3] :
( status(X3,X2,X0)
& ~ status(X3,X2,X1) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ! [X3,X2] :
( status(X3,X2,X0)
=> status(X3,X2,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ! [X3,X2] :
( status(X3,X2,X0)
=> status(X3,X2,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( ! [X1,X0] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f149,plain,
! [X0] :
( status(sK23(X0,eth),sK22(X0,eth),thm)
| isa(eth,X0) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
! [X0] :
( status(sK23(X0,eth),sK22(X0,eth),thm)
| status(sK23(X0,eth),sK22(X0,eth),thm)
| isa(eth,X0) ),
inference(resolution,[],[f140,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ model(sK21(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK21(X0,X1),X1)
& model(sK21(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK21(X0,X1),X1)
& model(sK21(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f140,plain,
! [X2,X1] :
( model(sK21(sK23(X1,eth),X2),sK22(X1,eth))
| isa(eth,X1)
| status(sK23(X1,eth),X2,thm) ),
inference(resolution,[],[f133,f106]) ).
fof(f106,plain,
! [X0,X1] :
( model(sK21(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f80]) ).
fof(f133,plain,
! [X2,X1] :
( ~ model(X2,sK23(X1,eth))
| isa(eth,X1)
| model(X2,sK22(X1,eth)) ),
inference(resolution,[],[f110,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,eth)
| model(X2,X0)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X1)
| ~ model(X2,X0) ) )
& ~ model(sK4(X1),X1)
& model(sK5(X1),X1) )
| ~ status(X1,X0,eth) )
& ( status(X1,X0,eth)
| ( ( ~ model(sK6(X0,X1),X1)
| ~ model(sK6(X0,X1),X0) )
& ( model(sK6(X0,X1),X1)
| model(sK6(X0,X1),X0) ) )
| ! [X6] : model(X6,X1)
| ! [X7] : ~ model(X7,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f54,f57,f56,f55]) ).
fof(f55,plain,
! [X1] :
( ? [X3] : ~ model(X3,X1)
=> ~ model(sK4(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK5(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ model(X5,X1)
| ~ model(X5,X0) )
& ( model(X5,X1)
| model(X5,X0) ) )
=> ( ( ~ model(sK6(X0,X1),X1)
| ~ model(sK6(X0,X1),X0) )
& ( model(sK6(X0,X1),X1)
| model(sK6(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X1)
| ~ model(X2,X0) ) )
& ? [X3] : ~ model(X3,X1)
& ? [X4] : model(X4,X1) )
| ~ status(X1,X0,eth) )
& ( status(X1,X0,eth)
| ? [X5] :
( ( ~ model(X5,X1)
| ~ model(X5,X0) )
& ( model(X5,X1)
| model(X5,X0) ) )
| ! [X6] : model(X6,X1)
| ! [X7] : ~ model(X7,X1) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( ( ( ! [X2] :
( ( model(X2,X1)
| ~ model(X2,X0) )
& ( model(X2,X0)
| ~ model(X2,X1) ) )
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,eth) )
& ( status(X0,X1,eth)
| ? [X2] :
( ( ~ model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X0)
| model(X2,X1) ) )
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( ( ! [X2] :
( ( model(X2,X1)
| ~ model(X2,X0) )
& ( model(X2,X0)
| ~ model(X2,X1) ) )
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,eth) )
& ( status(X0,X1,eth)
| ? [X2] :
( ( ~ model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X0)
| model(X2,X1) ) )
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ( ! [X2] :
( model(X2,X1)
<=> model(X2,X0) )
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,eth) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( status(X0,X1,eth)
<=> ( ! [X4] :
( model(X4,X0)
<=> model(X4,X1) )
& ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eth) ).
fof(f110,plain,
! [X0,X1] :
( status(sK23(X0,X1),sK22(X0,X1),X1)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS189+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
% 0.12/0.34 % Computer : n028.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 00:44:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (25544)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)
% 0.19/0.50 % (25561)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)
% 0.19/0.50 % (25552)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (25544)First to succeed.
% 0.19/0.50 % (25553)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)
% 0.19/0.51 % (25544)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (25544)------------------------------
% 0.19/0.51 % (25544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25544)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (25544)Memory used [KB]: 6012
% 0.19/0.51 % (25544)Time elapsed: 0.100 s
% 0.19/0.51 % (25544)Instructions burned: 3 (million)
% 0.19/0.51 % (25544)------------------------------
% 0.19/0.51 % (25544)------------------------------
% 0.19/0.51 % (25537)Success in time 0.159 s
%------------------------------------------------------------------------------