TSTP Solution File: GEO268+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n015.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 16:09:36 EDT 2022
% Result : Theorem 1.88s 0.60s
% Output : Refutation 1.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 3 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 123 ( 50 ~; 53 |; 10 &)
% ( 6 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 52 ( 44 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f213,plain,
$false,
inference(avatar_sat_refutation,[],[f176,f177,f197,f212]) ).
fof(f212,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| ~ spl2_1
| spl2_2 ),
inference(subsumption_resolution,[],[f204,f200]) ).
fof(f200,plain,
( ~ unequally_directed_lines(sK0,reverse_line(reverse_line(sK1)))
| spl2_2 ),
inference(unit_resulting_resolution,[],[f175,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) )
& ( unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
<=> unequally_directed_opposite_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_defns) ).
fof(f175,plain,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| spl2_2 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl2_2
<=> unequally_directed_opposite_lines(sK0,reverse_line(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f204,plain,
( unequally_directed_lines(sK0,reverse_line(reverse_line(sK1)))
| ~ spl2_1 ),
inference(unit_resulting_resolution,[],[f198,f133]) ).
fof(f133,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,X4)
| unequally_directed_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8_basics) ).
fof(f198,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ spl2_1 ),
inference(unit_resulting_resolution,[],[f134,f135,f170,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| left_convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| left_convergent_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X0] :
( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
=> ( left_convergent_lines(X1,reverse_line(X0))
| left_convergent_lines(X1,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X3] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9_basics) ).
fof(f170,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl2_1
<=> unequally_directed_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f135,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ~ left_convergent_lines(X1,reverse_line(X0))
& ~ left_convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
~ ( left_convergent_lines(X1,X0)
| left_convergent_lines(X1,reverse_line(X0)) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X3] :
~ ( left_convergent_lines(X3,X4)
| left_convergent_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11_basics) ).
fof(f134,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f112]) ).
fof(f197,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f194,f183]) ).
fof(f183,plain,
( unequally_directed_lines(sK0,reverse_line(reverse_line(sK1)))
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f174,f138]) ).
fof(f138,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f174,plain,
( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f194,plain,
( ~ unequally_directed_lines(sK0,reverse_line(reverse_line(sK1)))
| spl2_1 ),
inference(unit_resulting_resolution,[],[f135,f135,f178,f159]) ).
fof(f178,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| spl2_1 ),
inference(unit_resulting_resolution,[],[f171,f133]) ).
fof(f171,plain,
( ~ unequally_directed_lines(sK0,sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f177,plain,
( spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f129,f169,f173]) ).
fof(f129,plain,
( unequally_directed_lines(sK0,sK1)
| unequally_directed_opposite_lines(sK0,reverse_line(sK1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) )
& ( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f108,f109]) ).
fof(f109,plain,
( ? [X0,X1] :
( ( ~ unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( unequally_directed_opposite_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) )
=> ( ( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) )
& ( unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| unequally_directed_lines(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0,X1] :
( ( ~ unequally_directed_opposite_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( unequally_directed_opposite_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
? [X1,X0] :
( ( ~ unequally_directed_opposite_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) )
& ( unequally_directed_opposite_lines(X1,reverse_line(X0))
| unequally_directed_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
? [X1,X0] :
( unequally_directed_lines(X1,X0)
<~> unequally_directed_opposite_lines(X1,reverse_line(X0)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X1,X0] :
( unequally_directed_opposite_lines(X1,reverse_line(X0))
<=> unequally_directed_lines(X1,X0) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X4,X3] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X4,X3] :
( unequally_directed_lines(X3,X4)
<=> unequally_directed_opposite_lines(X3,reverse_line(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f176,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f130,f173,f169]) ).
fof(f130,plain,
( ~ unequally_directed_opposite_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % 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 : n015.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 : Mon Aug 29 21:46:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.56 % (5520)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)
% 0.20/0.56 % (5528)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)
% 0.20/0.56 % (5528)Instruction limit reached!
% 0.20/0.56 % (5528)------------------------------
% 0.20/0.56 % (5528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (5528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (5528)Termination reason: Unknown
% 0.20/0.56 % (5528)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (5528)Memory used [KB]: 6012
% 0.20/0.56 % (5528)Time elapsed: 0.005 s
% 0.20/0.56 % (5528)Instructions burned: 3 (million)
% 0.20/0.56 % (5528)------------------------------
% 0.20/0.56 % (5528)------------------------------
% 1.60/0.58 % (5531)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.60/0.58 % (5536)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)
% 1.60/0.58 % (5519)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)
% 1.60/0.59 % (5539)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)
% 1.60/0.59 % (5531)Instruction limit reached!
% 1.60/0.59 % (5531)------------------------------
% 1.60/0.59 % (5531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (5515)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)
% 1.60/0.59 % (5531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (5531)Termination reason: Unknown
% 1.60/0.59 % (5531)Termination phase: Finite model building preprocessing
% 1.60/0.59
% 1.60/0.59 % (5531)Memory used [KB]: 1535
% 1.60/0.59 % (5531)Time elapsed: 0.003 s
% 1.60/0.59 % (5531)Instructions burned: 3 (million)
% 1.60/0.59 % (5531)------------------------------
% 1.60/0.59 % (5531)------------------------------
% 1.60/0.59 % (5516)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)
% 1.88/0.59 % (5537)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)
% 1.88/0.59 % (5523)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)
% 1.88/0.59 % (5516)Refutation not found, incomplete strategy% (5516)------------------------------
% 1.88/0.59 % (5516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.59 % (5516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.59 % (5516)Termination reason: Refutation not found, incomplete strategy
% 1.88/0.59
% 1.88/0.59 % (5516)Memory used [KB]: 6012
% 1.88/0.59 % (5516)Time elapsed: 0.175 s
% 1.88/0.59 % (5516)Instructions burned: 2 (million)
% 1.88/0.59 % (5516)------------------------------
% 1.88/0.59 % (5516)------------------------------
% 1.88/0.60 % (5529)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)
% 1.88/0.60 % (5523)First to succeed.
% 1.88/0.60 % (5518)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)
% 1.88/0.60 % (5517)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)
% 1.88/0.60 % (5517)Refutation not found, incomplete strategy% (5517)------------------------------
% 1.88/0.60 % (5517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.60 % (5517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.60 % (5517)Termination reason: Refutation not found, incomplete strategy
% 1.88/0.60
% 1.88/0.60 % (5517)Memory used [KB]: 6012
% 1.88/0.60 % (5517)Time elapsed: 0.185 s
% 1.88/0.60 % (5517)Instructions burned: 3 (million)
% 1.88/0.60 % (5517)------------------------------
% 1.88/0.60 % (5517)------------------------------
% 1.88/0.60 % (5523)Refutation found. Thanks to Tanya!
% 1.88/0.60 % SZS status Theorem for theBenchmark
% 1.88/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.88/0.60 % (5523)------------------------------
% 1.88/0.60 % (5523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.60 % (5523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.60 % (5523)Termination reason: Refutation
% 1.88/0.60
% 1.88/0.60 % (5523)Memory used [KB]: 6012
% 1.88/0.60 % (5523)Time elapsed: 0.178 s
% 1.88/0.60 % (5523)Instructions burned: 5 (million)
% 1.88/0.60 % (5523)------------------------------
% 1.88/0.60 % (5523)------------------------------
% 1.88/0.60 % (5513)Success in time 0.25 s
%------------------------------------------------------------------------------