TSTP Solution File: GEO191+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO191+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 : n028.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 16:09:05 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 127 ( 44 ~; 42 |; 30 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 82 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f240,plain,
$false,
inference(avatar_sat_refutation,[],[f199,f237,f239]) ).
fof(f239,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f238]) ).
fof(f238,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f194,f232]) ).
fof(f232,plain,
! [X6,X7] : ~ apart_point_and_line(X6,X7),
inference(resolution,[],[f179,f140]) ).
fof(f140,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f179,plain,
! [X3,X4,X5] :
( apart_point_and_line(X3,parallel_through_point(X4,X5))
| ~ apart_point_and_line(X3,X4) ),
inference(resolution,[],[f173,f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
=> ( apart_point_and_line(X1,X0)
| distinct_lines(X2,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( 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(f173,plain,
! [X6,X7] : ~ distinct_lines(X6,parallel_through_point(X6,X7)),
inference(resolution,[],[f168,f133]) ).
fof(f133,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f168,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f167,f129]) ).
fof(f129,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f167,plain,
! [X2,X3,X4] :
( convergent_lines(X2,X3)
| ~ convergent_lines(X2,parallel_through_point(X3,X4)) ),
inference(resolution,[],[f123,f162]) ).
fof(f162,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X0,X1),X0),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f123,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X1,X0)
| convergent_lines(X1,X2) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2)
| convergent_lines(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X2,X1] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f194,plain,
( apart_point_and_line(intersection_point(sK0,sK3),sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK0,sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f237,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f235,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f232,f198]) ).
fof(f198,plain,
( apart_point_and_line(intersection_point(sK0,sK3),sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK0,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f199,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f128,f196,f192]) ).
fof(f128,plain,
( apart_point_and_line(intersection_point(sK0,sK3),sK2)
| apart_point_and_line(intersection_point(sK0,sK3),sK1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( apart_point_and_line(intersection_point(sK0,sK3),sK2)
| apart_point_and_line(intersection_point(sK0,sK3),sK1) )
& convergent_lines(sK1,sK2)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
& convergent_lines(sK0,sK3)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f103,f104]) ).
fof(f104,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X0,X3),X2)
| apart_point_and_line(intersection_point(X0,X3),X1) )
& convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X1,X2),X3)
& convergent_lines(X0,X3)
& ~ apart_point_and_line(intersection_point(X1,X2),X0) )
=> ( ( apart_point_and_line(intersection_point(sK0,sK3),sK2)
| apart_point_and_line(intersection_point(sK0,sK3),sK1) )
& convergent_lines(sK1,sK2)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK3)
& convergent_lines(sK0,sK3)
& ~ apart_point_and_line(intersection_point(sK1,sK2),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X0,X3),X2)
| apart_point_and_line(intersection_point(X0,X3),X1) )
& convergent_lines(X1,X2)
& ~ apart_point_and_line(intersection_point(X1,X2),X3)
& convergent_lines(X0,X3)
& ~ apart_point_and_line(intersection_point(X1,X2),X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
? [X3,X1,X0,X2] :
( ( apart_point_and_line(intersection_point(X3,X2),X0)
| apart_point_and_line(intersection_point(X3,X2),X1) )
& convergent_lines(X1,X0)
& ~ apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X3,X2)
& ~ apart_point_and_line(intersection_point(X1,X0),X3) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
? [X1,X3,X0,X2] :
( ~ apart_point_and_line(intersection_point(X1,X0),X3)
& ~ apart_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X1,X0)
& convergent_lines(X3,X2)
& ( apart_point_and_line(intersection_point(X3,X2),X0)
| apart_point_and_line(intersection_point(X3,X2),X1) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X3,X0,X2] :
( ( convergent_lines(X1,X0)
& convergent_lines(X3,X2)
& ( apart_point_and_line(intersection_point(X3,X2),X0)
| apart_point_and_line(intersection_point(X3,X2),X1) ) )
=> ( apart_point_and_line(intersection_point(X1,X0),X3)
| apart_point_and_line(intersection_point(X1,X0),X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X4,X3,X1,X0] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X4) )
& convergent_lines(X0,X1)
& convergent_lines(X3,X4) )
=> ( apart_point_and_line(intersection_point(X3,X4),X0)
| apart_point_and_line(intersection_point(X3,X4),X1) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X4,X3,X1,X0] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X4) )
& convergent_lines(X0,X1)
& convergent_lines(X3,X4) )
=> ( apart_point_and_line(intersection_point(X3,X4),X0)
| apart_point_and_line(intersection_point(X3,X4),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % 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 : n028.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 21:35:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.48 % (1875)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)
% 0.19/0.48 % (1875)Refutation not found, incomplete strategy% (1875)------------------------------
% 0.19/0.48 % (1875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (1875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (1875)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (1875)Memory used [KB]: 6012
% 0.19/0.49 % (1875)Time elapsed: 0.075 s
% 0.19/0.49 % (1875)Instructions burned: 2 (million)
% 0.19/0.49 % (1875)------------------------------
% 0.19/0.49 % (1875)------------------------------
% 0.19/0.49 % (1894)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.49 % (1902)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)
% 0.19/0.50 % (1878)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)
% 0.19/0.50 % (1902)First to succeed.
% 0.19/0.50 % (1886)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)
% 0.19/0.51 % (1902)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (1902)------------------------------
% 0.19/0.51 % (1902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1902)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (1902)Memory used [KB]: 6012
% 0.19/0.51 % (1902)Time elapsed: 0.103 s
% 0.19/0.51 % (1902)Instructions burned: 6 (million)
% 0.19/0.51 % (1902)------------------------------
% 0.19/0.51 % (1902)------------------------------
% 0.19/0.51 % (1868)Success in time 0.152 s
%------------------------------------------------------------------------------