TSTP Solution File: GEO215+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO215+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 : n023.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 16:12:19 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 135 ( 51 ~; 58 |; 12 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 74 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,plain,
$false,
inference(avatar_sat_refutation,[],[f165,f260,f270]) ).
fof(f270,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f265,f92]) ).
fof(f92,plain,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ~ unorthogonal_lines(sK1,sK2)
& convergent_lines(sK0,sK1)
& ~ unorthogonal_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f51,f72]) ).
fof(f72,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& convergent_lines(sK0,sK1)
& ~ unorthogonal_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
? [X1,X2,X0] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f265,plain,
( unorthogonal_lines(sK0,sK2)
| ~ spl3_1 ),
inference(resolution,[],[f161,f94]) ).
fof(f94,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f73]) ).
fof(f161,plain,
( ! [X5] :
( unorthogonal_lines(sK1,X5)
| unorthogonal_lines(sK0,X5) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl3_1
<=> ! [X5] :
( unorthogonal_lines(sK0,X5)
| unorthogonal_lines(sK1,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f260,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f259,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f258,f93]) ).
fof(f93,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f73]) ).
fof(f258,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl3_2 ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f253,plain,
( ~ convergent_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f191,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f80,f90]) ).
fof(f90,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(f80,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ~ apart_point_and_line(X0,X1)
| ~ convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) )
=> distinct_points(X0,intersection_point(X1,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f191,plain,
( ! [X8] :
( apart_point_and_line(intersection_point(X8,sK1),sK0)
| ~ convergent_lines(X8,sK1) )
| ~ spl3_2 ),
inference(resolution,[],[f164,f125]) ).
fof(f125,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f81,f90]) ).
fof(f81,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ~ apart_point_and_line(X0,X2)
| ~ convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f164,plain,
( ! [X4] :
( apart_point_and_line(X4,sK1)
| apart_point_and_line(X4,sK0) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl3_2
<=> ! [X4] :
( apart_point_and_line(X4,sK0)
| apart_point_and_line(X4,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f165,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f153,f163,f160]) ).
fof(f153,plain,
! [X4,X5] :
( apart_point_and_line(X4,sK0)
| apart_point_and_line(X4,sK1)
| unorthogonal_lines(sK0,X5)
| unorthogonal_lines(sK1,X5) ),
inference(resolution,[],[f91,f111]) ).
fof(f111,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f87,f93]) ).
fof(f87,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X3,X0)
| apart_point_and_line(X1,X0)
| unorthogonal_lines(X0,X2)
| apart_point_and_line(X1,X3)
| unorthogonal_lines(X3,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X0)
| unorthogonal_lines(X0,X2)
| apart_point_and_line(X1,X3)
| unorthogonal_lines(X3,X2)
| ~ distinct_lines(X3,X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X2,X0,X3,X1] :
( apart_point_and_line(X0,X2)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X0,X1)
| unorthogonal_lines(X1,X3)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X3,X2,X1,X0] :
( unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X1)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X3,X2,X1,X0] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X1)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( apart_point_and_line(X8,X6)
| unorthogonal_lines(X6,X7)
| apart_point_and_line(X8,X5)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ouo1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.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 21:50:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (17281)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (17278)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (17296)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (17279)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (17296)First to succeed.
% 0.20/0.54 % (17296)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (17296)------------------------------
% 0.20/0.54 % (17296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (17296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (17296)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (17296)Memory used [KB]: 5500
% 0.20/0.54 % (17296)Time elapsed: 0.116 s
% 0.20/0.54 % (17296)Instructions burned: 8 (million)
% 0.20/0.54 % (17296)------------------------------
% 0.20/0.54 % (17296)------------------------------
% 0.20/0.54 % (17271)Success in time 0.18 s
%------------------------------------------------------------------------------