TSTP Solution File: KRS256+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS256+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 : n001.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 17:30:20 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 12 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 118 ( 43 ~; 37 |; 20 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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; 3 con; 0-2 aty)
% Number of variables : 104 ( 76 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(subsumption_resolution,[],[f268,f242]) ).
fof(f242,plain,
! [X0] : ~ status(sK4,X0,esa),
inference(unit_resulting_resolution,[],[f83,f118,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X1)
| mighta(X0,X1)
| ~ status(X3,X2,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X3,X2,X1)
| ~ status(X3,X2,X0) )
| mighta(X0,X1) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X3,X2] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,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] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X6)
& status(X0,X1,X7) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f118,plain,
! [X0] : status(sK4,X0,thm),
inference(unit_resulting_resolution,[],[f88,f91]) ).
fof(f91,plain,
! [X0,X1] :
( model(sK8(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK8(X0,X1),X1)
& model(sK8(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK8(X0,X1),X1)
& model(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f61,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,[],[f60]) ).
fof(f60,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,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,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(f88,plain,
! [X1] : ~ model(X1,sK4),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1] : ~ model(X1,sK4),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f43,f54]) ).
fof(f54,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK4) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contradiction) ).
fof(f83,plain,
~ mighta(esa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(esa,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(esa,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(esa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_esa_thm) ).
fof(f268,plain,
status(sK4,sK4,esa),
inference(unit_resulting_resolution,[],[f88,f88,f105]) ).
fof(f105,plain,
! [X0,X1] :
( model(sK20(X0),X0)
| model(sK19(X1),X1)
| status(X0,X1,esa) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( status(X0,X1,esa)
| ( ( ! [X2] : ~ model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( model(sK19(X1),X1)
| model(sK20(X0),X0) ) ) )
& ( ( ( model(sK21(X0),X0)
| ! [X7] : ~ model(X7,X1) )
& ( model(sK22(X1),X1)
| ! [X9] : ~ model(X9,X0) ) )
| ~ status(X0,X1,esa) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f77,f81,f80,f79,f78]) ).
fof(f78,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK19(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK20(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ? [X6] : model(X6,X0)
=> model(sK21(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X1] :
( ? [X8] : model(X8,X1)
=> model(sK22(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ( status(X0,X1,esa)
| ( ( ! [X2] : ~ model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( ? [X4] : model(X4,X1)
| ? [X5] : model(X5,X0) ) ) )
& ( ( ( ? [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X1) )
& ( ? [X8] : model(X8,X1)
| ! [X9] : ~ model(X9,X0) ) )
| ~ status(X0,X1,esa) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( status(X0,X1,esa)
| ( ( ! [X2] : ~ model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
& ( ? [X2] : model(X2,X1)
| ? [X3] : model(X3,X0) ) ) )
& ( ( ( ? [X3] : model(X3,X0)
| ! [X2] : ~ model(X2,X1) )
& ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0) ) )
| ~ status(X0,X1,esa) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( status(X0,X1,esa)
<=> ( ? [X3] : model(X3,X0)
<=> ? [X2] : model(X2,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( ? [X3] : model(X3,X1)
<=> ? [X2] : model(X2,X0) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',esa) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS256+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 01:02:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (23598)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)
% 0.19/0.50 % (23576)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)
% 0.19/0.50 % (23576)Refutation not found, incomplete strategy% (23576)------------------------------
% 0.19/0.50 % (23576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23598)Refutation not found, incomplete strategy% (23598)------------------------------
% 0.19/0.50 % (23598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23598)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (23598)Memory used [KB]: 1535
% 0.19/0.50 % (23598)Time elapsed: 0.061 s
% 0.19/0.50 % (23598)Instructions burned: 2 (million)
% 0.19/0.50 % (23598)------------------------------
% 0.19/0.50 % (23598)------------------------------
% 0.19/0.50 % (23576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23590)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)
% 0.19/0.50 % (23588)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (23586)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)
% 0.19/0.50 % (23576)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (23576)Memory used [KB]: 5884
% 0.19/0.50 % (23576)Time elapsed: 0.111 s
% 0.19/0.50 % (23576)Instructions burned: 2 (million)
% 0.19/0.50 % (23576)------------------------------
% 0.19/0.50 % (23576)------------------------------
% 0.19/0.51 % (23586)First to succeed.
% 0.19/0.51 % (23574)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)
% 0.19/0.51 % (23582)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)
% 0.19/0.51 % (23592)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (23574)Refutation not found, incomplete strategy% (23574)------------------------------
% 0.19/0.51 % (23574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23574)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (23574)Memory used [KB]: 5884
% 0.19/0.51 % (23574)Time elapsed: 0.111 s
% 0.19/0.51 % (23574)Instructions burned: 2 (million)
% 0.19/0.51 % (23574)------------------------------
% 0.19/0.51 % (23574)------------------------------
% 0.19/0.51 % (23590)Instruction limit reached!
% 0.19/0.51 % (23590)------------------------------
% 0.19/0.51 % (23590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23582)Refutation not found, incomplete strategy% (23582)------------------------------
% 0.19/0.51 % (23582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (23582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23582)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (23582)Memory used [KB]: 6012
% 0.19/0.51 % (23582)Time elapsed: 0.073 s
% 0.19/0.51 % (23582)Instructions burned: 2 (million)
% 0.19/0.51 % (23582)------------------------------
% 0.19/0.51 % (23582)------------------------------
% 0.19/0.51 % (23590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (23590)Termination reason: Unknown
% 0.19/0.51 % (23590)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (23590)Memory used [KB]: 6140
% 0.19/0.51 % (23590)Time elapsed: 0.071 s
% 0.19/0.51 % (23590)Instructions burned: 7 (million)
% 0.19/0.51 % (23590)------------------------------
% 0.19/0.51 % (23590)------------------------------
% 0.19/0.51 % (23585)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.51 % (23600)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)
% 0.19/0.51 % (23578)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)
% 0.19/0.52 % (23592)Instruction limit reached!
% 0.19/0.52 % (23592)------------------------------
% 0.19/0.52 % (23592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23575)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)
% 0.19/0.52 % (23592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23592)Termination reason: Unknown
% 0.19/0.52 % (23592)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (23592)Memory used [KB]: 1535
% 0.19/0.52 % (23592)Time elapsed: 0.004 s
% 0.19/0.52 % (23592)Instructions burned: 4 (million)
% 0.19/0.52 % (23592)------------------------------
% 0.19/0.52 % (23592)------------------------------
% 0.19/0.52 % (23575)Instruction limit reached!
% 0.19/0.52 % (23575)------------------------------
% 0.19/0.52 % (23575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23575)Termination reason: Unknown
% 0.19/0.52 % (23575)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (23575)Memory used [KB]: 1535
% 0.19/0.52 % (23575)Time elapsed: 0.003 s
% 0.19/0.52 % (23575)Instructions burned: 4 (million)
% 0.19/0.52 % (23575)------------------------------
% 0.19/0.52 % (23575)------------------------------
% 0.19/0.52 % (23601)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (23593)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (23580)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (23589)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)
% 0.19/0.52 % (23604)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.52 % (23589)Instruction limit reached!
% 0.19/0.52 % (23589)------------------------------
% 0.19/0.52 % (23589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (23589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (23589)Termination reason: Unknown
% 0.19/0.52 % (23589)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (23589)Memory used [KB]: 1535
% 0.19/0.52 % (23589)Time elapsed: 0.003 s
% 0.19/0.52 % (23589)Instructions burned: 3 (million)
% 0.19/0.52 % (23589)------------------------------
% 0.19/0.52 % (23589)------------------------------
% 0.19/0.53 % (23586)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (23586)------------------------------
% 0.19/0.53 % (23586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (23586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (23586)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (23586)Memory used [KB]: 6012
% 0.19/0.53 % (23586)Time elapsed: 0.120 s
% 0.19/0.53 % (23586)Instructions burned: 5 (million)
% 0.19/0.53 % (23586)------------------------------
% 0.19/0.53 % (23586)------------------------------
% 0.19/0.53 % (23567)Success in time 0.177 s
%------------------------------------------------------------------------------