TSTP Solution File: KRS216+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS216+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 : n019.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 17:30:06 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 133 ( 54 ~; 40 |; 22 &)
% ( 9 <=>; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 92 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f557,plain,
$false,
inference(subsumption_resolution,[],[f556,f236]) ).
fof(f236,plain,
! [X1] : model(X1,sK13),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X1] : model(X1,sK13),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f47,f107]) ).
fof(f107,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK13) ),
introduced(choice_axiom,[]) ).
fof(f47,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(f556,plain,
! [X2] : ~ model(X2,sK13),
inference(subsumption_resolution,[],[f555,f224]) ).
fof(f224,plain,
~ nota(uns,thm),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
~ nota(uns,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(uns,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(uns,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_uns_thm) ).
fof(f555,plain,
! [X2] :
( nota(uns,thm)
| ~ model(X2,sK13) ),
inference(subsumption_resolution,[],[f553,f294]) ).
fof(f294,plain,
! [X1] : ~ model(X1,sK52),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X1] : ~ model(X1,sK52),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f37,f192]) ).
fof(f192,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK52) ),
introduced(choice_axiom,[]) ).
fof(f37,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(f553,plain,
! [X2] :
( model(X2,sK52)
| ~ model(X2,sK13)
| nota(uns,thm) ),
inference(resolution,[],[f402,f282]) ).
fof(f282,plain,
! [X3,X0,X1] :
( ~ status(X1,X0,thm)
| ~ model(X3,X1)
| model(X3,X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( ~ model(sK45(X0,X1),X0)
& model(sK45(X0,X1),X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f177,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK45(X0,X1),X0)
& model(sK45(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( 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,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X1)
=> model(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f402,plain,
! [X2] :
( status(sK13,sK52,X2)
| nota(uns,X2) ),
inference(resolution,[],[f376,f281]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X1)
| status(X3,X2,X0)
| nota(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X3,X2,X0)
| ~ status(X3,X2,X1) )
| nota(X1,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ? [X3,X2] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
=> nota(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( nota(X1,X0)
<=> ? [X3,X2] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X7,X6] :
( nota(X6,X7)
<=> ? [X1,X0] :
( status(X0,X1,X6)
& ~ status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).
fof(f376,plain,
status(sK13,sK52,uns),
inference(resolution,[],[f369,f294]) ).
fof(f369,plain,
! [X0] :
( model(sK43(X0),X0)
| status(sK13,X0,uns) ),
inference(resolution,[],[f326,f236]) ).
fof(f326,plain,
! [X2,X3] :
( ~ model(sK44(X3),X3)
| status(X3,X2,uns)
| model(sK43(X2),X2) ),
inference(resolution,[],[f255,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ~ model(sK43(X1),not(X1))
| status(X0,X1,uns)
| ~ model(sK44(X0),X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ~ model(sK43(X1),not(X1))
| ~ model(sK44(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f172,f174,f173]) ).
fof(f173,plain,
! [X1] :
( ? [X4] : ~ model(X4,not(X1))
=> ~ model(sK43(X1),not(X1)) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ? [X5] : ~ model(X5,X0)
=> ~ model(sK44(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X4] : ~ model(X4,not(X1))
| ? [X5] : ~ model(X5,X0) ) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,not(X1))
| ? [X3] : ~ model(X3,X0) ) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,not(X1))
| ? [X3] : ~ model(X3,X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
<=> status(X0,X1,uns) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,not(X1))
& ! [X2] : model(X2,X0) )
<=> status(X0,X1,uns) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uns) ).
fof(f255,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( model(X0,X1)
| model(X0,not(X1)) )
& ( ~ model(X0,not(X1))
| ~ model(X0,X1) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X8,X9] :
( model(X8,X9)
<=> ~ model(X8,not(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : KRS216+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.09/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.33 % Computer : n019.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 30 00:39:50 EDT 2022
% 0.10/0.33 % CPUTime :
% 0.15/0.48 % (17708)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 % (17701)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)
% 0.15/0.49 % (17712)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)
% 0.15/0.49 % (17709)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49 % (17699)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.49 % (17700)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.49 % (17717)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)
% 0.15/0.49 % (17701)Refutation not found, incomplete strategy% (17701)------------------------------
% 0.15/0.49 % (17701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (17716)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.49 % (17720)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)
% 0.15/0.49 % (17715)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)
% 0.15/0.50 % (17712)Refutation not found, incomplete strategy% (17712)------------------------------
% 0.15/0.50 % (17712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (17712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17712)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (17712)Memory used [KB]: 6012
% 0.15/0.50 % (17712)Time elapsed: 0.105 s
% 0.15/0.50 % (17712)Instructions burned: 2 (million)
% 0.15/0.50 % (17712)------------------------------
% 0.15/0.50 % (17712)------------------------------
% 0.15/0.50 % (17709)Refutation not found, incomplete strategy% (17709)------------------------------
% 0.15/0.50 % (17709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (17701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17701)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (17701)Memory used [KB]: 6012
% 0.15/0.50 % (17701)Time elapsed: 0.105 s
% 0.15/0.50 % (17701)Instructions burned: 2 (million)
% 0.15/0.50 % (17701)------------------------------
% 0.15/0.50 % (17701)------------------------------
% 0.15/0.50 % (17704)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50 % (17708)Instruction limit reached!
% 0.15/0.50 % (17708)------------------------------
% 0.15/0.50 % (17708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (17708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17708)Termination reason: Unknown
% 0.15/0.50 % (17708)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (17708)Memory used [KB]: 6140
% 0.15/0.50 % (17708)Time elapsed: 0.106 s
% 0.15/0.50 % (17708)Instructions burned: 8 (million)
% 0.15/0.50 % (17708)------------------------------
% 0.15/0.50 % (17708)------------------------------
% 0.15/0.50 % (17700)Refutation not found, incomplete strategy% (17700)------------------------------
% 0.15/0.50 % (17700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (17700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17700)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (17700)Memory used [KB]: 6012
% 0.15/0.50 % (17700)Time elapsed: 0.102 s
% 0.15/0.50 % (17700)Instructions burned: 2 (million)
% 0.15/0.50 % (17700)------------------------------
% 0.15/0.50 % (17700)------------------------------
% 0.15/0.50 % (17716)Refutation not found, incomplete strategy% (17716)------------------------------
% 0.15/0.50 % (17716)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (17716)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17716)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.50 % (17716)Memory used [KB]: 1535
% 0.15/0.50 % (17716)Time elapsed: 0.114 s
% 0.15/0.50 % (17716)Instructions burned: 2 (million)
% 0.15/0.50 % (17716)------------------------------
% 0.15/0.50 % (17716)------------------------------
% 0.15/0.50 % (17707)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)
% 0.15/0.50 % (17704)Instruction limit reached!
% 0.15/0.50 % (17704)------------------------------
% 0.15/0.50 % (17704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (17707)Instruction limit reached!
% 0.15/0.50 % (17707)------------------------------
% 0.15/0.50 % (17707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (17707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17707)Termination reason: Unknown
% 0.15/0.50 % (17707)Termination phase: Preprocessing 3
% 0.15/0.50
% 0.15/0.50 % (17707)Memory used [KB]: 1535
% 0.15/0.50 % (17707)Time elapsed: 0.004 s
% 0.15/0.50 % (17707)Instructions burned: 3 (million)
% 0.15/0.50 % (17707)------------------------------
% 0.15/0.50 % (17707)------------------------------
% 0.15/0.50 % (17704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17704)Termination reason: Unknown
% 0.15/0.50 % (17704)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (17704)Memory used [KB]: 6012
% 0.15/0.50 % (17704)Time elapsed: 0.106 s
% 0.15/0.50 % (17704)Instructions burned: 7 (million)
% 0.15/0.50 % (17704)------------------------------
% 0.15/0.50 % (17704)------------------------------
% 0.15/0.50 % (17717)First to succeed.
% 0.15/0.50 % (17699)Also succeeded, but the first one will report.
% 0.15/0.50 % (17709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (17709)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.50
% 0.15/0.51 % (17709)Memory used [KB]: 6140
% 0.15/0.51 % (17709)Time elapsed: 0.103 s
% 0.15/0.51 % (17709)Instructions burned: 6 (million)
% 0.15/0.51 % (17709)------------------------------
% 0.15/0.51 % (17709)------------------------------
% 0.15/0.51 % (17717)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (17717)------------------------------
% 0.15/0.51 % (17717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (17717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (17717)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (17717)Memory used [KB]: 6268
% 0.15/0.51 % (17717)Time elapsed: 0.113 s
% 0.15/0.51 % (17717)Instructions burned: 10 (million)
% 0.15/0.51 % (17717)------------------------------
% 0.15/0.51 % (17717)------------------------------
% 0.15/0.51 % (17692)Success in time 0.164 s
%------------------------------------------------------------------------------