TSTP Solution File: KRS254+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS254+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_sat --cores 0 -t %d %s
% Computer : n012.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 17:31:12 EDT 2022
% Result : Theorem 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 110 ( 41 ~; 34 |; 19 &)
% ( 8 <=>; 8 =>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 99 ( 77 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f328,plain,
$false,
inference(subsumption_resolution,[],[f327,f317]) ).
fof(f317,plain,
! [X0] : status(X0,X0,unp),
inference(factoring,[],[f316]) ).
fof(f316,plain,
! [X2,X0,X1] :
( status(X1,X2,unp)
| status(X0,X1,unp) ),
inference(resolution,[],[f276,f277]) ).
fof(f277,plain,
! [X0,X1,X4] :
( ~ model(X4,X1)
| status(X1,X0,unp) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( model(sK35(X1),X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X4] : ~ model(X4,X1)
& model(sK36(X0),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f168,f170,f169]) ).
fof(f169,plain,
! [X1] :
( ? [X2] : model(X2,X1)
=> model(sK35(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK36(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X4] : ~ model(X4,X1)
& ? [X5] : model(X5,X0) ) ) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X0) ) ) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X0) ) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
<=> status(X1,X0,unp) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( status(X1,X0,unp)
<=> ( ~ ? [X2] : model(X2,X1)
=> ~ ? [X3] : model(X3,X0) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( status(X0,X1,unp)
<=> ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unp) ).
fof(f276,plain,
! [X0,X1] :
( model(sK36(X0),X0)
| status(X1,X0,unp) ),
inference(cnf_transformation,[],[f171]) ).
fof(f327,plain,
! [X3] : ~ status(X3,X3,unp),
inference(resolution,[],[f325,f320]) ).
fof(f320,plain,
! [X0] : status(X0,X0,thm),
inference(duplicate_literal_removal,[],[f319]) ).
fof(f319,plain,
! [X0] :
( status(X0,X0,thm)
| status(X0,X0,thm) ),
inference(resolution,[],[f245,f244]) ).
fof(f244,plain,
! [X0,X1] :
( model(sK17(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK17(X0,X1),X1)
& model(sK17(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f126,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK17(X0,X1),X1)
& model(sK17(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f126,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,[],[f125]) ).
fof(f125,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,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( 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/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f245,plain,
! [X0,X1] :
( ~ model(sK17(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f128]) ).
fof(f325,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,unp) ),
inference(resolution,[],[f306,f254]) ).
fof(f254,plain,
~ mighta(unp,thm),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
~ mighta(unp,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(unp,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_unp_thm) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( mighta(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS254+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.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 00:38:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (3642)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (3662)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.56 % (3647)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (3647)Instruction limit reached!
% 0.19/0.57 % (3647)------------------------------
% 0.19/0.57 % (3647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (3647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (3647)Termination reason: Unknown
% 0.19/0.57 % (3647)Termination phase: Preprocessing 3
% 0.19/0.57
% 0.19/0.57 % (3647)Memory used [KB]: 1023
% 0.19/0.57 % (3647)Time elapsed: 0.007 s
% 0.19/0.57 % (3647)Instructions burned: 3 (million)
% 0.19/0.57 % (3647)------------------------------
% 0.19/0.57 % (3647)------------------------------
% 0.19/0.57 % (3658)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.57 % (3664)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.57 % (3662)First to succeed.
% 0.19/0.58 % (3662)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 % (3662)------------------------------
% 0.19/0.58 % (3662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (3662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (3662)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (3662)Memory used [KB]: 5628
% 0.19/0.58 % (3662)Time elapsed: 0.086 s
% 0.19/0.58 % (3662)Instructions burned: 6 (million)
% 0.19/0.58 % (3662)------------------------------
% 0.19/0.58 % (3662)------------------------------
% 0.19/0.58 % (3638)Success in time 0.224 s
%------------------------------------------------------------------------------