TSTP Solution File: KRS191+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS191+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 : n016.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 120 ( 44 ~; 32 |; 28 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 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 : 98 ( 75 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f326,plain,
$false,
inference(subsumption_resolution,[],[f324,f257]) ).
fof(f257,plain,
~ isa(wtc,thm),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
~ isa(wtc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(wtc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(wtc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wtc_thm) ).
fof(f324,plain,
isa(wtc,thm),
inference(resolution,[],[f313,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ status(sK32(X0,X1),sK33(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( ( ~ status(sK32(X0,X1),sK33(X0,X1),X1)
& status(sK32(X0,X1),sK33(X0,X1),X0) )
| isa(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f66,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> ( ~ status(sK32(X0,X1),sK33(X0,X1),X1)
& status(sK32(X0,X1),sK33(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
| isa(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( isa(X0,X1)
<=> ! [X3,X2] :
( status(X2,X3,X0)
=> status(X2,X3,X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( isa(X6,X7)
<=> ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f313,plain,
! [X3] : status(X3,sK33(wtc,thm),thm),
inference(resolution,[],[f308,f225]) ).
fof(f225,plain,
! [X0,X1] :
( ~ model(sK6(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( ~ model(sK6(X0,X1),X1)
& model(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f92,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) )
=> ( ~ model(sK6(X0,X1),X1)
& model(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) ) ),
inference(ennf_transformation,[],[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(f308,plain,
! [X0] : model(X0,sK33(wtc,thm)),
inference(resolution,[],[f307,f249]) ).
fof(f249,plain,
! [X0,X1,X5] :
( ~ status(X0,X1,wtc)
| model(X5,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( status(X0,X1,wtc)
| ~ model(sK26(X1),X1)
| ! [X3] : ~ model(X3,X0)
| ! [X4] : model(X4,X0) )
& ( ( ! [X5] : model(X5,X1)
& model(sK27(X0),X0)
& ~ model(sK28(X0),X0) )
| ~ status(X0,X1,wtc) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28])],[f133,f136,f135,f134]) ).
fof(f134,plain,
! [X1] :
( ? [X2] : ~ model(X2,X1)
=> ~ model(sK26(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ? [X6] : model(X6,X0)
=> model(sK27(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0] :
( ? [X7] : ~ model(X7,X0)
=> ~ model(sK28(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0,X1] :
( ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ! [X4] : model(X4,X0) )
& ( ( ! [X5] : model(X5,X1)
& ? [X6] : model(X6,X0)
& ? [X7] : ~ model(X7,X0) )
| ~ status(X0,X1,wtc) ) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X1,X0] :
( ( status(X1,X0,wtc)
| ? [X2] : ~ model(X2,X0)
| ! [X4] : ~ model(X4,X1)
| ! [X3] : model(X3,X1) )
& ( ( ! [X2] : model(X2,X0)
& ? [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X1) )
| ~ status(X1,X0,wtc) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X1,X0] :
( ( status(X1,X0,wtc)
| ? [X2] : ~ model(X2,X0)
| ! [X4] : ~ model(X4,X1)
| ! [X3] : model(X3,X1) )
& ( ( ! [X2] : model(X2,X0)
& ? [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X1) )
| ~ status(X1,X0,wtc) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( status(X1,X0,wtc)
<=> ( ! [X2] : model(X2,X0)
& ? [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( ( ! [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wtc) ).
fof(f307,plain,
status(sK32(wtc,thm),sK33(wtc,thm),wtc),
inference(resolution,[],[f257,f255]) ).
fof(f255,plain,
! [X0,X1] :
( isa(X0,X1)
| status(sK32(X0,X1),sK33(X0,X1),X0) ),
inference(cnf_transformation,[],[f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KRS191+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.13/0.13 % 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 : n016.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 00:58:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (24651)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.50 % (24667)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51 % (24641)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)
% 0.20/0.51 % (24659)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.51 % (24651)First to succeed.
% 0.20/0.51 % (24656)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (24641)Instruction limit reached!
% 0.20/0.51 % (24641)------------------------------
% 0.20/0.51 % (24641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24641)Termination reason: Unknown
% 0.20/0.51 % (24641)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (24641)Memory used [KB]: 1535
% 0.20/0.51 % (24641)Time elapsed: 0.003 s
% 0.20/0.51 % (24641)Instructions burned: 3 (million)
% 0.20/0.51 % (24641)------------------------------
% 0.20/0.51 % (24641)------------------------------
% 0.20/0.51 % (24651)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 % (24651)------------------------------
% 0.20/0.51 % (24651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24651)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (24651)Memory used [KB]: 1663
% 0.20/0.51 % (24651)Time elapsed: 0.103 s
% 0.20/0.51 % (24651)Instructions burned: 5 (million)
% 0.20/0.51 % (24651)------------------------------
% 0.20/0.51 % (24651)------------------------------
% 0.20/0.51 % (24638)Success in time 0.16 s
%------------------------------------------------------------------------------