TSTP Solution File: KRS266+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS266+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 : n006.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 17:30:22 EDT 2022
% Result : Theorem 1.26s 0.52s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 16 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 115 ( 44 ~; 33 |; 22 &)
% ( 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 83 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f237,plain,
$false,
inference(subsumption_resolution,[],[f232,f81]) ).
fof(f81,plain,
~ mighta(sca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(sca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(sca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(sca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_sca_thm) ).
fof(f232,plain,
mighta(sca,thm),
inference(resolution,[],[f182,f116]) ).
fof(f116,plain,
! [X1] : status(sK0,X1,thm),
inference(resolution,[],[f102,f82]) ).
fof(f82,plain,
! [X1] : ~ model(X1,sK0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X1] : ~ model(X1,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f39,f48]) ).
fof(f48,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f102,plain,
! [X0,X1] :
( model(sK20(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ( model(sK20(X0,X1),X1)
& ~ model(sK20(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
=> ( model(sK20(X0,X1),X1)
& ~ model(sK20(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
<=> status(X1,X0,thm) ),
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(f182,plain,
! [X1] :
( ~ status(sK0,sK8,X1)
| mighta(sca,X1) ),
inference(resolution,[],[f156,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X1)
| mighta(X1,X0)
| ~ status(X3,X2,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( mighta(X1,X0)
| ! [X2,X3] :
( ~ status(X3,X2,X1)
| ~ status(X3,X2,X0) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X3,X2,X0)
& status(X3,X2,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( mighta(X0,X1)
<=> ? [X3,X2] :
( status(X3,X2,X0)
& status(X3,X2,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( mighta(X6,X7)
<=> ? [X1,X0] :
( status(X0,X1,X6)
& status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f156,plain,
status(sK0,sK8,sca),
inference(resolution,[],[f139,f82]) ).
fof(f139,plain,
! [X0] :
( status(X0,sK8,sca)
| model(sK9(X0),X0) ),
inference(resolution,[],[f92,f88]) ).
fof(f88,plain,
! [X1] : model(X1,sK8),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1] : model(X1,sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f42,f59]) ).
fof(f59,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK8) ),
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(f92,plain,
! [X2,X0,X1] :
( ~ model(X2,X1)
| model(sK9(X0),X0)
| status(X0,X1,sca) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| model(sK9(X0),X0) )
& ( ( model(sK10(X1),X1)
& ! [X5] : ~ model(X5,X0) )
| ~ status(X0,X1,sca) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f64,f66,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK9(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK10(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) )
& ( ( ? [X4] : model(X4,X1)
& ! [X5] : ~ model(X5,X0) )
| ~ status(X0,X1,sca) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) )
& ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) )
& ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( status(X0,X1,sca)
<=> ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( status(X0,X1,sca)
<=> ( ~ ? [X3] : model(X3,X0)
& ? [X2] : model(X2,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( status(X0,X1,sca)
<=> ( ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sca) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS266+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 : n006.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 00:39:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % (13689)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.50 % (13669)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)
% 0.18/0.50 % (13669)Instruction limit reached!
% 0.18/0.50 % (13669)------------------------------
% 0.18/0.50 % (13669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (13681)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50 % (13669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (13669)Termination reason: Unknown
% 0.18/0.50 % (13669)Termination phase: Preprocessing 3
% 0.18/0.50
% 0.18/0.50 % (13669)Memory used [KB]: 1535
% 0.18/0.50 % (13669)Time elapsed: 0.004 s
% 0.18/0.50 % (13669)Instructions burned: 3 (million)
% 0.18/0.50 % (13669)------------------------------
% 0.18/0.50 % (13669)------------------------------
% 0.18/0.50 % (13681)Instruction limit reached!
% 0.18/0.50 % (13681)------------------------------
% 0.18/0.50 % (13681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (13681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (13681)Termination reason: Unknown
% 0.18/0.50 % (13681)Termination phase: Preprocessing 3
% 0.18/0.50
% 0.18/0.50 % (13681)Memory used [KB]: 1535
% 0.18/0.50 % (13681)Time elapsed: 0.003 s
% 0.18/0.50 % (13681)Instructions burned: 3 (million)
% 0.18/0.50 % (13681)------------------------------
% 0.18/0.50 % (13681)------------------------------
% 0.18/0.50 % (13667)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.51 % (13691)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)
% 0.18/0.51 % (13670)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (13670)Refutation not found, incomplete strategy% (13670)------------------------------
% 0.18/0.51 % (13670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (13670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (13670)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (13670)Memory used [KB]: 5884
% 0.18/0.51 % (13670)Time elapsed: 0.114 s
% 0.18/0.51 % (13670)------------------------------
% 0.18/0.51 % (13670)------------------------------
% 0.18/0.51 % (13675)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)
% 1.26/0.52 % (13671)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.26/0.52 % (13671)First to succeed.
% 1.26/0.52 % (13675)Refutation not found, incomplete strategy% (13675)------------------------------
% 1.26/0.52 % (13675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (13675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (13675)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.52
% 1.26/0.52 % (13675)Memory used [KB]: 5884
% 1.26/0.52 % (13675)Time elapsed: 0.125 s
% 1.26/0.52 % (13675)Instructions burned: 2 (million)
% 1.26/0.52 % (13675)------------------------------
% 1.26/0.52 % (13675)------------------------------
% 1.26/0.52 % (13671)Refutation found. Thanks to Tanya!
% 1.26/0.52 % SZS status Theorem for theBenchmark
% 1.26/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.52 % (13671)------------------------------
% 1.26/0.52 % (13671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.26/0.52 % (13671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.26/0.52 % (13671)Termination reason: Refutation
% 1.26/0.52
% 1.26/0.52 % (13671)Memory used [KB]: 6012
% 1.26/0.52 % (13671)Time elapsed: 0.126 s
% 1.26/0.52 % (13671)Instructions burned: 4 (million)
% 1.26/0.52 % (13671)------------------------------
% 1.26/0.52 % (13671)------------------------------
% 1.26/0.52 % (13666)Success in time 0.175 s
%------------------------------------------------------------------------------