TSTP Solution File: GEO179+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : 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 16:12:07 EDT 2022
% Result : Theorem 0.94s 0.64s
% Output : Refutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 7 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 131 ( 47 ~; 46 |; 23 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 45 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(avatar_sat_refutation,[],[f76,f98,f106,f111,f138,f151,f155]) ).
fof(f155,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| ~ spl3_8 ),
inference(resolution,[],[f137,f63]) ).
fof(f63,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f137,plain,
( distinct_points(sK1,sK1)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl3_8
<=> distinct_points(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f151,plain,
( spl3_8
| ~ spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f148,f73,f95,f135]) ).
fof(f95,plain,
( spl3_4
<=> distinct_points(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f73,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f148,plain,
( ~ distinct_points(sK1,sK0)
| distinct_points(sK1,sK1)
| spl3_2 ),
inference(resolution,[],[f146,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ distinct_points(X2,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ distinct_points(X2,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_points(X0,X2) )
| ~ apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( distinct_points(X2,X1)
=> ( apart_point_and_line(X0,line_connecting(X2,X1))
=> ( distinct_points(X0,X1)
& distinct_points(X0,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f146,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK0))
| spl3_2 ),
inference(resolution,[],[f75,f81]) ).
fof(f81,plain,
! [X0] :
( distinct_lines(line_connecting(sK0,sK2),X0)
| apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f64,f57]) ).
fof(f57,plain,
apart_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
& ( ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK0))
| ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK2)) )
& distinct_points(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f43,f44]) ).
fof(f44,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(X1,line_connecting(X0,X2))
& ( ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X0))
| ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X2)) )
& distinct_points(X0,X2) )
=> ( apart_point_and_line(sK1,line_connecting(sK0,sK2))
& ( ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK0))
| ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK2)) )
& distinct_points(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1,X2] :
( apart_point_and_line(X1,line_connecting(X0,X2))
& ( ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X0))
| ~ distinct_lines(line_connecting(X0,X2),line_connecting(X1,X2)) )
& distinct_points(X0,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
? [X2,X0,X1] :
( apart_point_and_line(X0,line_connecting(X2,X1))
& ( ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2))
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1)) )
& distinct_points(X2,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X0,X2,X1] :
( ( ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2))
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1)) )
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X2,X1] :
( ( apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) )
=> ( distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2))
& distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X2,X1,X0] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X2,X1,X0] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X1,X0] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f75,plain,
( ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK0))
| spl3_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f138,plain,
( ~ spl3_6
| spl3_8
| spl3_1 ),
inference(avatar_split_clause,[],[f131,f69,f135,f108]) ).
fof(f108,plain,
( spl3_6
<=> distinct_points(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f69,plain,
( spl3_1
<=> distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f131,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK1,sK2)
| spl3_1 ),
inference(resolution,[],[f126,f60]) ).
fof(f126,plain,
( apart_point_and_line(sK1,line_connecting(sK1,sK2))
| spl3_1 ),
inference(resolution,[],[f81,f71]) ).
fof(f71,plain,
( ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f111,plain,
( spl3_6
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f103,f91,f108]) ).
fof(f91,plain,
( spl3_3
<=> distinct_points(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f103,plain,
( ~ distinct_points(sK0,sK2)
| distinct_points(sK1,sK2) ),
inference(resolution,[],[f61,f57]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f106,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| spl3_3 ),
inference(resolution,[],[f93,f55]) ).
fof(f55,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f93,plain,
( ~ distinct_points(sK0,sK2)
| spl3_3 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f98,plain,
( ~ spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f88,f95,f91]) ).
fof(f88,plain,
( distinct_points(sK1,sK0)
| ~ distinct_points(sK0,sK2) ),
inference(resolution,[],[f60,f57]) ).
fof(f76,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f56,f73,f69]) ).
fof(f56,plain,
( ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK0))
| ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(sK1,sK2)) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:09:45 EDT 2022
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% 0.94/0.63 % (22573)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 0.94/0.63 % (22566)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.94/0.63 % (22569)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.94/0.63 TRYING [1]
% 0.94/0.63 % (22573)First to succeed.
% 0.94/0.63 TRYING [2]
% 0.94/0.64 % (22577)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 0.94/0.64 % (22573)Refutation found. Thanks to Tanya!
% 0.94/0.64 % SZS status Theorem for theBenchmark
% 0.94/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.94/0.64 % (22573)------------------------------
% 0.94/0.64 % (22573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.94/0.64 % (22573)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.94/0.64 % (22573)Termination reason: Refutation
% 0.94/0.64
% 0.94/0.64 % (22573)Memory used [KB]: 5500
% 0.94/0.64 % (22573)Time elapsed: 0.103 s
% 0.94/0.64 % (22573)Instructions burned: 2 (million)
% 0.94/0.64 % (22573)------------------------------
% 0.94/0.64 % (22573)------------------------------
% 0.94/0.64 % (22412)Success in time 0.279 s
%------------------------------------------------------------------------------