TSTP Solution File: GEO228+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 16:12:23 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 1 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 154 ( 66 ~; 60 |; 18 &)
% ( 8 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 30 ( 20 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(avatar_sat_refutation,[],[f168,f173,f174,f178,f183,f196]) ).
fof(f196,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f195]) ).
fof(f195,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f194,f166]) ).
fof(f166,plain,
( ~ convergent_lines(sK1,sK0)
| spl2_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl2_2
<=> convergent_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f194,plain,
( convergent_lines(sK1,sK0)
| ~ spl2_1
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f191,f172]) ).
fof(f172,plain,
( unequally_directed_lines(sK1,sK0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl2_3
<=> unequally_directed_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f191,plain,
( ~ unequally_directed_lines(sK1,sK0)
| convergent_lines(sK1,sK0)
| ~ spl2_1 ),
inference(resolution,[],[f148,f163]) ).
fof(f163,plain,
( unequally_directed_lines(sK1,reverse_line(sK0))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl2_1
<=> unequally_directed_lines(sK1,reverse_line(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f148,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,X0) )
| ~ convergent_lines(X1,X0) )
& ( convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,X0) )
| ~ convergent_lines(X1,X0) )
& ( convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( unequally_directed_lines(X1,reverse_line(X0))
& unequally_directed_lines(X1,X0) )
<=> convergent_lines(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X1] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con_def) ).
fof(f183,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f181,f167]) ).
fof(f167,plain,
( convergent_lines(sK1,sK0)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f181,plain,
( ~ convergent_lines(sK1,sK0)
| spl2_1 ),
inference(resolution,[],[f150,f162]) ).
fof(f162,plain,
( ~ unequally_directed_lines(sK1,reverse_line(sK0))
| spl2_1 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f150,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f178,plain,
( spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f175,f165,f170]) ).
fof(f175,plain,
( unequally_directed_lines(sK1,sK0)
| ~ spl2_2 ),
inference(resolution,[],[f149,f167]) ).
fof(f149,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f174,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f130,f170,f165,f161]) ).
fof(f130,plain,
( ~ unequally_directed_lines(sK1,sK0)
| ~ convergent_lines(sK1,sK0)
| ~ unequally_directed_lines(sK1,reverse_line(sK0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ( convergent_lines(sK1,sK0)
| ( unequally_directed_lines(sK1,sK0)
& unequally_directed_lines(sK1,reverse_line(sK0)) ) )
& ( ~ convergent_lines(sK1,sK0)
| ~ unequally_directed_lines(sK1,sK0)
| ~ unequally_directed_lines(sK1,reverse_line(sK0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f106,f107]) ).
fof(f107,plain,
( ? [X0,X1] :
( ( convergent_lines(X1,X0)
| ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) ) )
& ( ~ convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ) )
=> ( ( convergent_lines(sK1,sK0)
| ( unequally_directed_lines(sK1,sK0)
& unequally_directed_lines(sK1,reverse_line(sK0)) ) )
& ( ~ convergent_lines(sK1,sK0)
| ~ unequally_directed_lines(sK1,sK0)
| ~ unequally_directed_lines(sK1,reverse_line(sK0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1] :
( ( convergent_lines(X1,X0)
| ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) ) )
& ( ~ convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
? [X1,X0] :
( ( convergent_lines(X0,X1)
| ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) ) )
& ( ~ convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
? [X1,X0] :
( ( convergent_lines(X0,X1)
| ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) ) )
& ( ~ convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
? [X1,X0] :
( ( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) )
<~> ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
~ ! [X0,X1] :
( ( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) )
<=> ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2] :
( ( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) )
<=> ~ convergent_lines(X1,X2) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2] :
( ( ~ unequally_directed_lines(X1,X2)
| ~ unequally_directed_lines(X1,reverse_line(X2)) )
<=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f173,plain,
( spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f132,f170,f165]) ).
fof(f132,plain,
( unequally_directed_lines(sK1,sK0)
| convergent_lines(sK1,sK0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f168,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f131,f165,f161]) ).
fof(f131,plain,
( convergent_lines(sK1,sK0)
| unequally_directed_lines(sK1,reverse_line(sK0)) ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 21:31:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.46 % (10511)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.46 % (10503)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.46 % (10503)First to succeed.
% 0.18/0.46 % (10503)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (10503)------------------------------
% 0.18/0.47 % (10503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47 % (10503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47 % (10503)Termination reason: Refutation
% 0.18/0.47
% 0.18/0.47 % (10503)Memory used [KB]: 5500
% 0.18/0.47 % (10503)Time elapsed: 0.036 s
% 0.18/0.47 % (10503)Instructions burned: 3 (million)
% 0.18/0.47 % (10503)------------------------------
% 0.18/0.47 % (10503)------------------------------
% 0.18/0.47 % (10495)Success in time 0.13 s
%------------------------------------------------------------------------------