TSTP Solution File: GEO224+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO224+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_sat --cores 0 -t %d %s
% Computer : n010.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 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 68 ( 13 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 190 ( 86 ~; 61 |; 26 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 103 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f255,plain,
$false,
inference(avatar_sat_refutation,[],[f234,f240,f251,f254]) ).
fof(f254,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| ~ spl3_4 ),
inference(resolution,[],[f250,f133]) ).
fof(f133,plain,
point(sK0),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,sK1) )
& point(sK0)
& line(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f105,f106]) ).
fof(f106,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X1) )
& point(X0)
& line(X1) )
=> ( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,sK1) )
& point(sK0)
& line(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
? [X0,X1] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X1) )
& point(X0)
& line(X1) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
? [X1,X0] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X0) )
& point(X1)
& line(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
? [X0,X1] :
( ! [X2] :
( ~ point(X2)
| ~ incident_point_and_line(X2,X0) )
& line(X0)
& point(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
~ ! [X0,X1] :
( ( line(X0)
& point(X1) )
=> ? [X2] :
( incident_point_and_line(X2,X0)
& point(X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0] :
( ( point(X0)
& line(X1) )
=> ? [X2] :
( point(X2)
& incident_point_and_line(X2,X1) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0] :
( ( point(X0)
& line(X1) )
=> ? [X2] :
( point(X2)
& incident_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f250,plain,
( ! [X0] : ~ point(X0)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl3_4
<=> ! [X0] : ~ point(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f251,plain,
( spl3_4
| ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f247,f232,f228,f249]) ).
fof(f228,plain,
( spl3_1
<=> line(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f232,plain,
( spl3_2
<=> ! [X0] :
( ~ line(X0)
| ~ convergent_lines(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f247,plain,
( ! [X0] :
( ~ line(sK1)
| ~ point(X0) )
| ~ spl3_2 ),
inference(resolution,[],[f246,f157]) ).
fof(f157,plain,
! [X0,X1] :
( line(orthogonal_through_point(X0,X1))
| ~ point(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ point(X1)
| ~ line(X0)
| line(orthogonal_through_point(X0,X1)) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( line(orthogonal_through_point(X0,X1))
| ~ point(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( point(X1)
& line(X0) )
=> line(orthogonal_through_point(X0,X1)) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X5,X8] :
( ( point(X8)
& line(X5) )
=> line(orthogonal_through_point(X5,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',orth1) ).
fof(f246,plain,
( ! [X1] : ~ line(orthogonal_through_point(sK1,X1))
| ~ spl3_2 ),
inference(resolution,[],[f233,f185]) ).
fof(f185,plain,
! [X0,X1] : convergent_lines(X0,orthogonal_through_point(X0,X1)),
inference(resolution,[],[f183,f140]) ).
fof(f140,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f183,plain,
! [X2,X0,X1] :
( convergent_lines(orthogonal_through_point(X0,X1),X2)
| convergent_lines(X0,X2) ),
inference(resolution,[],[f131,f175]) ).
fof(f175,plain,
! [X0,X1] : convergent_lines(orthogonal_through_point(X0,X1),X0),
inference(resolution,[],[f129,f152]) ).
fof(f152,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X1,X0] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X5,X8] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ooc1) ).
fof(f129,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
~ ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X5,X6] :
~ ( ~ convergent_lines(X5,X6)
& ~ unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coipo1) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0)
| convergent_lines(X2,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X0)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f233,plain,
( ! [X0] :
( ~ convergent_lines(sK1,X0)
| ~ line(X0) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f240,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f230,f132]) ).
fof(f132,plain,
line(sK1),
inference(cnf_transformation,[],[f107]) ).
fof(f230,plain,
( ~ line(sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f234,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f226,f232,f228]) ).
fof(f226,plain,
! [X0] :
( ~ line(X0)
| ~ convergent_lines(sK1,X0)
| ~ line(sK1) ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ~ line(X0)
| ~ line(sK1)
| ~ convergent_lines(sK1,X0)
| ~ convergent_lines(sK1,X0) ),
inference(resolution,[],[f142,f181]) ).
fof(f181,plain,
! [X0] :
( ~ point(intersection_point(sK1,X0))
| ~ convergent_lines(sK1,X0) ),
inference(resolution,[],[f180,f153]) ).
fof(f153,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f180,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| ~ point(X0) ),
inference(resolution,[],[f170,f134]) ).
fof(f134,plain,
! [X2] :
( ~ incident_point_and_line(X2,sK1)
| ~ point(X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f170,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,X0)
=> incident_point_and_line(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( incident_point_and_line(X1,X0)
<=> ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f142,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ convergent_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ line(X1)
| ~ line(X0)
| ~ convergent_lines(X0,X1)
| point(intersection_point(X0,X1)) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X1,X0] :
( ~ line(X0)
| ~ line(X1)
| ~ convergent_lines(X1,X0)
| point(intersection_point(X1,X0)) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( point(intersection_point(X1,X0))
| ~ line(X0)
| ~ convergent_lines(X1,X0)
| ~ line(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( line(X0)
& convergent_lines(X1,X0)
& line(X1) )
=> point(intersection_point(X1,X0)) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X6,X5] :
( ( convergent_lines(X5,X6)
& line(X5)
& line(X6) )
=> point(intersection_point(X5,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',int1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO224+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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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 21:24:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (30045)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (30045)First to succeed.
% 0.20/0.49 % (30036)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (30045)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (30045)------------------------------
% 0.20/0.50 % (30045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (30045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (30045)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (30045)Memory used [KB]: 5500
% 0.20/0.50 % (30045)Time elapsed: 0.101 s
% 0.20/0.50 % (30045)Instructions burned: 5 (million)
% 0.20/0.50 % (30045)------------------------------
% 0.20/0.50 % (30045)------------------------------
% 0.20/0.50 % (30032)Success in time 0.15 s
%------------------------------------------------------------------------------