TSTP Solution File: KRS260+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS260+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 : n008.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 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 63 ( 15 unt; 0 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 261 ( 95 ~; 66 |; 74 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 164 ( 103 !; 61 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f319,plain,
$false,
inference(avatar_sat_refutation,[],[f177,f306,f317]) ).
fof(f317,plain,
~ spl22_4,
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| ~ spl22_4 ),
inference(resolution,[],[f176,f121]) ).
fof(f121,plain,
~ model(sK4,sK0),
inference(resolution,[],[f86,f87]) ).
fof(f87,plain,
~ model(sK4,sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ~ model(sK2,sK0)
& model(sK2,sK1)
& model(sK3,sK0)
& ~ model(sK4,sK1)
& ! [X5] :
( model(X5,sK1)
| ~ model(X5,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f50,f54,f53,f52,f51]) ).
fof(f51,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ? [X3] : model(X3,X0)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
| ~ model(X5,X0) ) )
=> ( ? [X2] :
( ~ model(X2,sK0)
& model(X2,sK1) )
& ? [X3] : model(X3,sK0)
& ? [X4] : ~ model(X4,sK1)
& ! [X5] :
( model(X5,sK1)
| ~ model(X5,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
( ? [X2] :
( ~ model(X2,sK0)
& model(X2,sK1) )
=> ( ~ model(sK2,sK0)
& model(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( ? [X3] : model(X3,sK0)
=> model(sK3,sK0) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X4] : ~ model(X4,sK1)
=> ~ model(sK4,sK1) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ? [X3] : model(X3,X0)
& ? [X4] : ~ model(X4,X1)
& ! [X5] :
( model(X5,X1)
| ~ model(X5,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
? [X1,X0] :
( ? [X4] :
( ~ model(X4,X1)
& model(X4,X0) )
& ? [X3] : model(X3,X1)
& ? [X5] : ~ model(X5,X0)
& ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
? [X0,X1] :
( ? [X5] : ~ model(X5,X0)
& ? [X3] : model(X3,X1)
& ? [X4] :
( ~ model(X4,X1)
& model(X4,X0) )
& ! [X2] :
( model(X2,X1)
=> model(X2,X0) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
? [X1,X0] :
( ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_pair) ).
fof(f86,plain,
! [X5] :
( model(X5,sK1)
| ~ model(X5,sK0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f176,plain,
( ! [X4] : model(X4,sK0)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl22_4
<=> ! [X4] : model(X4,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).
fof(f306,plain,
~ spl22_3,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl22_3 ),
inference(subsumption_resolution,[],[f303,f100]) ).
fof(f100,plain,
~ mighta(wec,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wec,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wec,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wec,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wec_thm) ).
fof(f303,plain,
( mighta(wec,thm)
| ~ spl22_3 ),
inference(resolution,[],[f259,f122]) ).
fof(f122,plain,
! [X0] : status(X0,sK14,thm),
inference(resolution,[],[f105,f106]) ).
fof(f106,plain,
! [X1] : model(X1,sK14),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X1] : model(X1,sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f42,f75]) ).
fof(f75,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK14) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f105,plain,
! [X0,X1] :
( ~ model(sK13(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( ~ model(sK13(X0,X1),X1)
& model(sK13(X0,X1),X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) )
=> ( ~ model(sK13(X0,X1),X1)
& model(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f72,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,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X1)
=> model(X2,X0) ) ),
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(f259,plain,
( ! [X1] :
( ~ status(sK0,sK14,X1)
| mighta(wec,X1) )
| ~ spl22_3 ),
inference(resolution,[],[f173,f101]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X1)
| ~ status(X3,X2,X0)
| mighta(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) )
| mighta(X1,X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ! [X3,X2] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( mighta(X0,X1)
<=> ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f173,plain,
( status(sK0,sK14,wec)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl22_3
<=> status(sK0,sK14,wec) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f177,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f163,f175,f171]) ).
fof(f163,plain,
! [X4] :
( model(X4,sK0)
| status(sK0,sK14,wec) ),
inference(resolution,[],[f149,f88]) ).
fof(f88,plain,
model(sK3,sK0),
inference(cnf_transformation,[],[f55]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ model(X2,X1)
| status(X1,sK14,wec)
| model(X0,X1) ),
inference(subsumption_resolution,[],[f147,f106]) ).
fof(f147,plain,
! [X2,X0,X1] :
( status(X1,sK14,wec)
| ~ model(X0,sK14)
| ~ model(X2,X1)
| model(X0,X1) ),
inference(resolution,[],[f95,f106]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ model(sK5(X0,X1),X0)
| ~ model(X3,X0)
| status(X1,X0,wec)
| ~ model(X2,X1)
| model(X3,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( status(X1,X0,wec)
| ! [X2] : ~ model(X2,X1)
| ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ( model(sK5(X0,X1),X1)
& ~ model(sK5(X0,X1),X0) ) )
& ( ( model(sK6(X1),X1)
& model(sK7(X0,X1),X0)
& ~ model(sK7(X0,X1),X1)
& ! [X7] :
( ~ model(X7,X1)
| model(X7,X0) ) )
| ~ status(X1,X0,wec) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f58,f61,f60,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
=> ( model(sK5(X0,X1),X1)
& ~ model(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X1] :
( ? [X5] : model(X5,X1)
=> model(sK6(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X6] :
( model(X6,X0)
& ~ model(X6,X1) )
=> ( model(sK7(X0,X1),X0)
& ~ model(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ( status(X1,X0,wec)
| ! [X2] : ~ model(X2,X1)
| ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
& ( ( ? [X5] : model(X5,X1)
& ? [X6] :
( model(X6,X0)
& ~ model(X6,X1) )
& ! [X7] :
( ~ model(X7,X1)
| model(X7,X0) ) )
| ~ status(X1,X0,wec) ) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ( status(X0,X1,wec)
| ! [X4] : ~ model(X4,X0)
| ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) ) )
& ( ( ? [X4] : model(X4,X0)
& ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) ) )
| ~ status(X0,X1,wec) ) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( status(X0,X1,wec)
| ! [X4] : ~ model(X4,X0)
| ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) ) )
& ( ( ? [X4] : model(X4,X0)
& ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) ) )
| ~ status(X0,X1,wec) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( status(X0,X1,wec)
<=> ( ? [X4] : model(X4,X0)
& ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
& ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ? [X4] : model(X4,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) )
<=> status(X0,X1,wec) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( status(X0,X1,wec)
<=> ( ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wec) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS260+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
% 0.13/0.34 % Computer : n008.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 00:44:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (2579)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)
% 0.19/0.48 % (2588)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)
% 0.19/0.48 % (2588)Refutation not found, incomplete strategy% (2588)------------------------------
% 0.19/0.48 % (2588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (2588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2588)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (2588)Memory used [KB]: 6012
% 0.19/0.48 % (2588)Time elapsed: 0.088 s
% 0.19/0.48 % (2588)Instructions burned: 2 (million)
% 0.19/0.48 % (2588)------------------------------
% 0.19/0.48 % (2588)------------------------------
% 0.19/0.48 % (2579)Refutation not found, incomplete strategy% (2579)------------------------------
% 0.19/0.48 % (2579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (2579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2579)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (2579)Memory used [KB]: 5884
% 0.19/0.48 % (2579)Time elapsed: 0.089 s
% 0.19/0.48 % (2579)Instructions burned: 1 (million)
% 0.19/0.48 % (2579)------------------------------
% 0.19/0.48 % (2579)------------------------------
% 0.19/0.48 % (2587)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)
% 0.19/0.48 % (2587)Refutation not found, incomplete strategy% (2587)------------------------------
% 0.19/0.48 % (2587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (2587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (2587)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48 % (2587)Memory used [KB]: 6012
% 0.19/0.48 % (2587)Time elapsed: 0.096 s
% 0.19/0.48 % (2587)Instructions burned: 2 (million)
% 0.19/0.48 % (2587)------------------------------
% 0.19/0.48 % (2587)------------------------------
% 0.19/0.49 % (2604)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.49 % (2580)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)
% 0.19/0.49 % (2580)Instruction limit reached!
% 0.19/0.49 % (2580)------------------------------
% 0.19/0.49 % (2580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (2580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (2580)Termination reason: Unknown
% 0.19/0.49 % (2580)Termination phase: Property scanning
% 0.19/0.49
% 0.19/0.49 % (2580)Memory used [KB]: 1535
% 0.19/0.49 % (2580)Time elapsed: 0.003 s
% 0.19/0.49 % (2580)Instructions burned: 4 (million)
% 0.19/0.49 % (2580)------------------------------
% 0.19/0.49 % (2580)------------------------------
% 0.19/0.49 % (2604)First to succeed.
% 0.19/0.50 % (2604)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (2604)------------------------------
% 0.19/0.50 % (2604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (2604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (2604)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (2604)Memory used [KB]: 6140
% 0.19/0.50 % (2604)Time elapsed: 0.107 s
% 0.19/0.50 % (2604)Instructions burned: 5 (million)
% 0.19/0.50 % (2604)------------------------------
% 0.19/0.50 % (2604)------------------------------
% 0.19/0.50 % (2575)Success in time 0.149 s
%------------------------------------------------------------------------------