TSTP Solution File: GEO228+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n007.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 16:09:23 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% 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 ( 22 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f250,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f77,f78,f80,f84,f247]) ).
fof(f247,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f245,f67]) ).
fof(f67,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl2_1
<=> unequally_directed_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f245,plain,
( ~ unequally_directed_lines(sK0,sK1)
| spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f225,f70]) ).
fof(f70,plain,
( ~ convergent_lines(sK0,sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl2_2
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f225,plain,
( convergent_lines(sK0,sK1)
| ~ unequally_directed_lines(sK0,sK1)
| ~ spl2_3 ),
inference(resolution,[],[f57,f75]) ).
fof(f75,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl2_3
<=> unequally_directed_lines(sK0,reverse_line(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f57,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X1,reverse_line(X0))
| ~ unequally_directed_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( convergent_lines(X1,X0)
| ~ unequally_directed_lines(X1,X0)
| ~ unequally_directed_lines(X1,reverse_line(X0)) )
& ( ( unequally_directed_lines(X1,X0)
& unequally_directed_lines(X1,reverse_line(X0)) )
| ~ convergent_lines(X1,X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) )
& ( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
| ~ convergent_lines(X0,X1) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( ( convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) )
& ( ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) )
| ~ convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( 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(f84,plain,
( ~ spl2_2
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f83,plain,
( $false
| ~ spl2_2
| spl2_3 ),
inference(subsumption_resolution,[],[f81,f71]) ).
fof(f71,plain,
( convergent_lines(sK0,sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f81,plain,
( ~ convergent_lines(sK0,sK1)
| spl2_3 ),
inference(resolution,[],[f55,f76]) ).
fof(f76,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| spl2_3 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f55,plain,
! [X0,X1] :
( unequally_directed_lines(X1,reverse_line(X0))
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f80,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f79,f69,f65]) ).
fof(f79,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f56,f71]) ).
fof(f56,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| unequally_directed_lines(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f78,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f53,f69,f74]) ).
fof(f53,plain,
( convergent_lines(sK0,sK1)
| unequally_directed_lines(sK0,reverse_line(sK1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( ( unequally_directed_lines(sK0,sK1)
& unequally_directed_lines(sK0,reverse_line(sK1)) )
| convergent_lines(sK0,sK1) )
& ( ~ unequally_directed_lines(sK0,sK1)
| ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ convergent_lines(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f46]) ).
fof(f46,plain,
( ? [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))
| ~ convergent_lines(X0,X1) ) )
=> ( ( ( unequally_directed_lines(sK0,sK1)
& unequally_directed_lines(sK0,reverse_line(sK1)) )
| convergent_lines(sK0,sK1) )
& ( ~ unequally_directed_lines(sK0,sK1)
| ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ convergent_lines(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [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))
| ~ convergent_lines(X0,X1) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [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))
| ~ convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0,X1] :
( ~ convergent_lines(X0,X1)
<~> ( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,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] :
( ~ convergent_lines(X1,X2)
<=> ( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
<=> ( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f77,plain,
( ~ spl2_2
| ~ spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f52,f74,f65,f69]) ).
fof(f52,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f54,f69,f65]) ).
fof(f54,plain,
( convergent_lines(sK0,sK1)
| unequally_directed_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:17:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (18913)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)
% 0.20/0.51 % (18913)First to succeed.
% 0.20/0.51 % (18930)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)
% 0.20/0.51 % (18922)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)
% 0.20/0.52 % (18913)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (18913)------------------------------
% 0.20/0.52 % (18913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18913)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (18913)Memory used [KB]: 6012
% 0.20/0.52 % (18913)Time elapsed: 0.097 s
% 0.20/0.52 % (18913)Instructions burned: 11 (million)
% 0.20/0.52 % (18913)------------------------------
% 0.20/0.52 % (18913)------------------------------
% 0.20/0.52 % (18902)Success in time 0.16 s
%------------------------------------------------------------------------------