TSTP Solution File: KRS202+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS202+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 : n020.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 17:30:02 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 144 ( 55 ~; 44 |; 26 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 128 ( 84 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f363,plain,
$false,
inference(unit_resulting_resolution,[],[f221,f220,f222,f222,f324]) ).
fof(f324,plain,
! [X2,X3,X0,X1,X4] :
( ~ model(X4,X2)
| ~ model(X0,X2)
| ~ model(X3,X1)
| model(X0,X1) ),
inference(resolution,[],[f323,f263]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( status(X0,X1,esa)
| ~ model(X2,X1)
| ~ model(X3,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( status(X0,X1,esa)
| ( ( ! [X2] : ~ model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( model(sK28(X1),X1)
| model(sK29(X0),X0) ) ) )
& ( ( ( model(sK30(X0),X0)
| ! [X7] : ~ model(X7,X1) )
& ( model(sK31(X1),X1)
| ! [X9] : ~ model(X9,X0) ) )
| ~ status(X0,X1,esa) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29,sK30,sK31])],[f142,f146,f145,f144,f143]) ).
fof(f143,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK28(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK29(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0] :
( ? [X6] : model(X6,X0)
=> model(sK30(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X1] :
( ? [X8] : model(X8,X1)
=> model(sK31(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0,X1] :
( ( status(X0,X1,esa)
| ( ( ! [X2] : ~ model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( ? [X4] : model(X4,X1)
| ? [X5] : model(X5,X0) ) ) )
& ( ( ( ? [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X1) )
& ( ? [X8] : model(X8,X1)
| ! [X9] : ~ model(X9,X0) ) )
| ~ status(X0,X1,esa) ) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X1,X0] :
( ( status(X1,X0,esa)
| ( ( ! [X2] : ~ model(X2,X0)
| ! [X3] : ~ model(X3,X1) )
& ( ? [X2] : model(X2,X0)
| ? [X3] : model(X3,X1) ) ) )
& ( ( ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0) )
& ( ? [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X1) ) )
| ~ status(X1,X0,esa) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( status(X1,X0,esa)
<=> ( ? [X3] : model(X3,X1)
<=> ? [X2] : model(X2,X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( ? [X3] : model(X3,X1)
<=> ? [X2] : model(X2,X0) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',esa) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,esa)
| model(X2,X1)
| ~ model(X2,X0) ),
inference(resolution,[],[f314,f282]) ).
fof(f282,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X3,X0)
| model(X3,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( model(sK45(X0,X1),X0)
& ~ model(sK45(X0,X1),X1) ) )
& ( ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f178,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
=> ( model(sK45(X0,X1),X0)
& ~ model(sK45(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f178,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,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ),
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(f314,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[],[f211,f223]) ).
fof(f223,plain,
~ nota(esa,thm),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
~ nota(esa,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(esa,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(esa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_esa_thm) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| ~ status(X2,X3,X0)
| status(X2,X3,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( nota(X1,X0)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
=> nota(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
<=> nota(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X7,X6] :
( nota(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X6)
& ~ status(X0,X1,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
fof(f222,plain,
! [X1] : model(X1,sK8),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X1] : model(X1,sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f35,f89]) ).
fof(f89,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK8) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f220,plain,
model(sK7,sK5),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ~ model(sK6,sK5)
& model(sK7,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f84,f87,f86,f85]) ).
fof(f85,plain,
( ? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) )
=> ( ? [X1] : ~ model(X1,sK5)
& ? [X2] : model(X2,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X1] : ~ model(X1,sK5)
=> ~ model(sK6,sK5) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
( ? [X2] : model(X2,sK5)
=> model(sK7,sK5) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
? [X0] :
( ? [X2] : ~ model(X2,X0)
& ? [X1] : model(X1,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
? [X9] :
( ? [X2] : model(X2,X9)
& ? [X3] : ~ model(X3,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satisfiable) ).
fof(f221,plain,
~ model(sK6,sK5),
inference(cnf_transformation,[],[f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS202+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 00:38:30 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.50 % (21032)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)
% 0.21/0.51 % (21047)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51 % (21021)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.51 % (21032)Refutation not found, incomplete strategy% (21032)------------------------------
% 0.21/0.51 % (21032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (21032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (21032)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (21032)Memory used [KB]: 1663
% 0.21/0.51 % (21032)Time elapsed: 0.098 s
% 0.21/0.51 % (21032)Instructions burned: 4 (million)
% 0.21/0.51 % (21032)------------------------------
% 0.21/0.51 % (21032)------------------------------
% 0.21/0.51 % (21039)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.51 % (21039)Refutation not found, incomplete strategy% (21039)------------------------------
% 0.21/0.51 % (21039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (21039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (21039)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (21039)Memory used [KB]: 6012
% 0.21/0.51 % (21039)Time elapsed: 0.104 s
% 0.21/0.51 % (21039)Instructions burned: 1 (million)
% 0.21/0.51 % (21039)------------------------------
% 0.21/0.51 % (21039)------------------------------
% 0.21/0.51 % (21028)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (21028)Refutation not found, incomplete strategy% (21028)------------------------------
% 0.21/0.52 % (21028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21028)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (21028)Memory used [KB]: 5884
% 0.21/0.52 % (21028)Time elapsed: 0.095 s
% 0.21/0.52 % (21028)Instructions burned: 1 (million)
% 0.21/0.52 % (21028)------------------------------
% 0.21/0.52 % (21028)------------------------------
% 0.21/0.52 % (21021)Refutation not found, incomplete strategy% (21021)------------------------------
% 0.21/0.52 % (21021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21021)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (21021)Memory used [KB]: 5884
% 0.21/0.52 % (21021)Time elapsed: 0.090 s
% 0.21/0.52 % (21021)Instructions burned: 2 (million)
% 0.21/0.52 % (21021)------------------------------
% 0.21/0.52 % (21021)------------------------------
% 0.21/0.52 % (21047)First to succeed.
% 0.21/0.52 % (21047)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (21047)------------------------------
% 0.21/0.52 % (21047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21047)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (21047)Memory used [KB]: 6140
% 0.21/0.52 % (21047)Time elapsed: 0.103 s
% 0.21/0.52 % (21047)Instructions burned: 6 (million)
% 0.21/0.52 % (21047)------------------------------
% 0.21/0.52 % (21047)------------------------------
% 0.21/0.52 % (21019)Success in time 0.155 s
%------------------------------------------------------------------------------