TSTP Solution File: KRS259+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS259+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 : n023.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 17:30:21 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 40 ~; 33 |; 21 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 99 ( 77 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f432,plain,
$false,
inference(subsumption_resolution,[],[f419,f261]) ).
fof(f261,plain,
~ mighta(tac,thm),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
~ mighta(tac,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(tac,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(tac,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_tac_thm) ).
fof(f419,plain,
mighta(tac,thm),
inference(resolution,[],[f357,f314]) ).
fof(f314,plain,
! [X0] : status(X0,sK15,thm),
inference(resolution,[],[f237,f242]) ).
fof(f242,plain,
! [X1] : model(X1,sK15),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X1] : model(X1,sK15),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f44,f118]) ).
fof(f118,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK15) ),
introduced(choice_axiom,[]) ).
fof(f44,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(f237,plain,
! [X0,X1] :
( ~ model(sK13(X0,X1),X0)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( model(sK13(X0,X1),X1)
& ~ model(sK13(X0,X1),X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f111,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
=> ( model(sK13(X0,X1),X1)
& ~ model(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( ( 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,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f357,plain,
! [X1] :
( ~ status(sK15,sK15,X1)
| mighta(tac,X1) ),
inference(resolution,[],[f336,f254]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( mighta(X1,X0)
| ! [X3,X2] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( mighta(X1,X0)
<=> ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X7,X6] :
( ? [X0,X1] :
( status(X0,X1,X6)
& status(X0,X1,X7) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f336,plain,
status(sK15,sK15,tac),
inference(resolution,[],[f317,f242]) ).
fof(f317,plain,
! [X0,X1] :
( ~ model(X1,X0)
| status(X0,sK15,tac) ),
inference(resolution,[],[f216,f242]) ).
fof(f216,plain,
! [X3,X0,X1] :
( ~ model(sK2(X1),X1)
| status(X0,X1,tac)
| ~ model(X3,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( status(X0,X1,tac)
| ~ model(sK2(X1),X1)
| ! [X3] : ~ model(X3,X0) )
& ( ( ! [X4] : model(X4,X1)
& model(sK3(X0),X0) )
| ~ status(X0,X1,tac) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f81,f83,f82]) ).
fof(f82,plain,
! [X1] :
( ? [X2] : ~ model(X2,X1)
=> ~ model(sK2(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ( status(X0,X1,tac)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( ( ! [X4] : model(X4,X1)
& ? [X5] : model(X5,X0) )
| ~ status(X0,X1,tac) ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ( status(X1,X0,tac)
| ? [X3] : ~ model(X3,X0)
| ! [X2] : ~ model(X2,X1) )
& ( ( ! [X3] : model(X3,X0)
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,tac) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ( status(X1,X0,tac)
| ? [X3] : ~ model(X3,X0)
| ! [X2] : ~ model(X2,X1) )
& ( ( ! [X3] : model(X3,X0)
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,tac) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( status(X1,X0,tac)
<=> ( ! [X3] : model(X3,X0)
& ? [X2] : model(X2,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( status(X0,X1,tac)
<=> ( ? [X2] : model(X2,X0)
& ! [X3] : model(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tac) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS259+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
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 01:01:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.19/0.55 % (25657)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)
% 0.19/0.56 % (25673)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56 % (25657)Refutation not found, incomplete strategy% (25657)------------------------------
% 0.19/0.56 % (25657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (25657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (25657)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (25657)Memory used [KB]: 5884
% 0.19/0.56 % (25657)Time elapsed: 0.134 s
% 0.19/0.56 % (25657)Instructions burned: 1 (million)
% 0.19/0.56 % (25657)------------------------------
% 0.19/0.56 % (25657)------------------------------
% 0.19/0.57 % (25664)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)
% 0.19/0.57 % (25680)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.57 % (25673)Instruction limit reached!
% 0.19/0.57 % (25673)------------------------------
% 0.19/0.57 % (25673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25673)Termination reason: Unknown
% 0.19/0.57 % (25673)Termination phase: Preprocessing 3
% 0.19/0.57
% 0.19/0.57 % (25673)Memory used [KB]: 1535
% 0.19/0.57 % (25673)Time elapsed: 0.004 s
% 0.19/0.57 % (25673)Instructions burned: 3 (million)
% 0.19/0.57 % (25673)------------------------------
% 0.19/0.57 % (25673)------------------------------
% 0.19/0.57 % (25665)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.57 % (25680)First to succeed.
% 0.19/0.57 % (25665)Refutation not found, incomplete strategy% (25665)------------------------------
% 0.19/0.57 % (25665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25665)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (25665)Memory used [KB]: 6012
% 0.19/0.58 % (25665)Time elapsed: 0.141 s
% 0.19/0.58 % (25665)Instructions burned: 2 (million)
% 0.19/0.58 % (25665)------------------------------
% 0.19/0.58 % (25665)------------------------------
% 0.19/0.58 % (25680)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (25680)------------------------------
% 0.19/0.58 % (25680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (25680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (25680)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (25680)Memory used [KB]: 6140
% 0.19/0.58 % (25680)Time elapsed: 0.146 s
% 0.19/0.58 % (25680)Instructions burned: 7 (million)
% 0.19/0.58 % (25680)------------------------------
% 0.19/0.58 % (25680)------------------------------
% 0.19/0.58 % (25655)Success in time 0.223 s
%------------------------------------------------------------------------------