TSTP Solution File: GEO215+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Sun May 5 05:16:11 EDT 2024
% Result : Theorem 3.19s 0.86s
% Output : Refutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 103 ( 18 unt; 0 def)
% Number of atoms : 266 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 275 ( 112 ~; 135 |; 12 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 232 ( 223 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15388,plain,
$false,
inference(avatar_sat_refutation,[],[f228,f9588,f12419,f15387]) ).
fof(f15387,plain,
( ~ spl4_10
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f15359,f212,f9582]) ).
fof(f9582,plain,
( spl4_10
<=> distinct_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f212,plain,
( spl4_3
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f15359,plain,
( ~ convergent_lines(sK0,sK1)
| ~ distinct_lines(sK1,sK0) ),
inference(resolution,[],[f15352,f59]) ).
fof(f59,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ~ unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1,X2] :
( 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(f15352,plain,
! [X0] :
( unorthogonal_lines(X0,sK2)
| ~ convergent_lines(sK0,X0)
| ~ distinct_lines(X0,sK0) ),
inference(resolution,[],[f789,f58]) ).
fof(f58,plain,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f789,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X0)
| unorthogonal_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(resolution,[],[f787,f85]) ).
fof(f85,plain,
! [X2,X3,X1] :
( sP3(X2,X1)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) ),
inference(cnf_transformation,[],[f85_D]) ).
fof(f85_D,plain,
! [X1,X2] :
( ! [X3] :
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) )
<=> ~ sP3(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f787,plain,
! [X0,X1] :
( ~ sP3(X1,X0)
| ~ distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(duplicate_literal_removal,[],[f776]) ).
fof(f776,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| ~ sP3(X1,X0)
| ~ convergent_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f168,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f76,f61]) ).
fof(f61,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(f76,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f168,plain,
! [X2,X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X2)
| ~ distinct_lines(X2,X0)
| ~ sP3(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f86,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f75,f61]) ).
fof(f75,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f86,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2)
| ~ sP3(X2,X1) ),
inference(general_splitting,[],[f83,f85_D]) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ouo1) ).
fof(f12419,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f12357]) ).
fof(f12357,plain,
( $false
| ~ spl4_11 ),
inference(resolution,[],[f12340,f57]) ).
fof(f57,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f12340,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl4_11 ),
inference(resolution,[],[f9587,f60]) ).
fof(f60,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f9587,plain,
( ! [X0] :
( distinct_lines(X0,sK1)
| ~ convergent_lines(sK0,X0) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f9586]) ).
fof(f9586,plain,
( spl4_11
<=> ! [X0] :
( ~ convergent_lines(sK0,X0)
| distinct_lines(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f9588,plain,
( spl4_10
| spl4_11 ),
inference(avatar_split_clause,[],[f9523,f9586,f9582]) ).
fof(f9523,plain,
! [X0] :
( ~ convergent_lines(sK0,X0)
| distinct_lines(sK1,sK0)
| distinct_lines(X0,sK1) ),
inference(resolution,[],[f3434,f3450]) ).
fof(f3450,plain,
! [X0,X1] :
( ~ convergent_lines(parallel_through_point(sK1,X1),X0)
| distinct_lines(X0,sK1) ),
inference(resolution,[],[f3399,f513]) ).
fof(f513,plain,
! [X2,X3,X0,X1] :
( convergent_lines(parallel_through_point(X2,X3),X0)
| ~ convergent_lines(parallel_through_point(X0,X1),X2) ),
inference(resolution,[],[f483,f128]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ convergent_lines(parallel_through_point(X1,X2),X0)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f97,f62]) ).
fof(f62,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(f97,plain,
! [X2,X3,X0,X1] :
( convergent_lines(X2,parallel_through_point(X1,X3))
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(resolution,[],[f94,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f74,f64]) ).
fof(f64,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp1) ).
fof(f483,plain,
! [X2,X0,X1] :
( convergent_lines(X0,parallel_through_point(X1,X2))
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f466,f74]) ).
fof(f466,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f457,f64]) ).
fof(f457,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f433,f62]) ).
fof(f433,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X0)
| convergent_lines(X0,X1)
| ~ convergent_lines(X1,X2) ),
inference(resolution,[],[f425,f97]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,parallel_through_point(X0,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f411,f62]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,parallel_through_point(X0,X3)) ),
inference(resolution,[],[f395,f74]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ convergent_lines(parallel_through_point(X0,X2),X1)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f392,f62]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(parallel_through_point(X0,X3),X2) ),
inference(resolution,[],[f379,f97]) ).
fof(f379,plain,
! [X2,X3,X0,X1] :
( ~ convergent_lines(parallel_through_point(X0,X2),parallel_through_point(X1,X3))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f130,f64]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( convergent_lines(X2,X0)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,parallel_through_point(X1,X3)) ),
inference(resolution,[],[f128,f74]) ).
fof(f3399,plain,
! [X0,X1] :
( ~ convergent_lines(parallel_through_point(X0,X1),sK1)
| distinct_lines(X0,sK1) ),
inference(resolution,[],[f3029,f88]) ).
fof(f88,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f67,f59]) ).
fof(f67,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).
fof(f3029,plain,
! [X2,X3,X0,X1] :
( ~ convergent_lines(parallel_through_point(X0,X2),X1)
| ~ convergent_lines(X1,X3)
| distinct_lines(X0,X1) ),
inference(resolution,[],[f2780,f113]) ).
fof(f2780,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1)
| ~ convergent_lines(parallel_through_point(X2,X3),X1) ),
inference(resolution,[],[f2192,f487]) ).
fof(f487,plain,
! [X2,X3,X0,X1] :
( convergent_lines(X0,parallel_through_point(X1,X2))
| ~ convergent_lines(parallel_through_point(X0,X3),X1) ),
inference(resolution,[],[f466,f392]) ).
fof(f2192,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| apart_point_and_line(X2,X1)
| distinct_lines(X0,X1) ),
inference(resolution,[],[f1928,f68]) ).
fof(f68,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f1928,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,parallel_through_point(X1,X0))
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(resolution,[],[f1911,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f1911,plain,
! [X0,X1] :
( ~ distinct_lines(parallel_through_point(X1,X0),X1)
| apart_point_and_line(X0,X1) ),
inference(resolution,[],[f504,f60]) ).
fof(f504,plain,
! [X2,X0,X1] :
( distinct_lines(X2,parallel_through_point(X1,X0))
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X2,X1) ),
inference(resolution,[],[f481,f69]) ).
fof(f481,plain,
! [X0,X1] :
( ~ distinct_lines(X1,parallel_through_point(X1,X0))
| apart_point_and_line(X0,X1) ),
inference(resolution,[],[f466,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( convergent_lines(X0,parallel_through_point(X1,X2))
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,parallel_through_point(X1,X2)) ),
inference(resolution,[],[f70,f65]) ).
fof(f65,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f70,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
fof(f3434,plain,
! [X2,X0,X1] :
( convergent_lines(parallel_through_point(X0,X2),X1)
| ~ convergent_lines(sK0,X1)
| distinct_lines(X0,sK0) ),
inference(resolution,[],[f3397,f1391]) ).
fof(f1391,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X2,X1)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f439,f425]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( convergent_lines(X2,parallel_through_point(X0,X3))
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X1) ),
inference(resolution,[],[f425,f74]) ).
fof(f3397,plain,
! [X0,X1] :
( ~ convergent_lines(parallel_through_point(X0,X1),sK0)
| distinct_lines(X0,sK0) ),
inference(resolution,[],[f3029,f57]) ).
fof(f228,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f214,f57]) ).
fof(f214,plain,
( ~ convergent_lines(sK0,sK1)
| spl4_3 ),
inference(avatar_component_clause,[],[f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 22:04:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (24420)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (24422)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (24425)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (24423)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (24424)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (24426)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (24427)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (24428)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2,1]
% 0.15/0.37 TRYING [2,1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3,1]
% 0.15/0.37 TRYING [3,1]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 TRYING [3,2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4,2]
% 0.15/0.38 TRYING [4,2]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [5,2]
% 0.15/0.38 TRYING [5,2]
% 0.15/0.38 TRYING [5]
% 0.15/0.39 TRYING [4,3]
% 0.15/0.39 TRYING [4,3]
% 0.15/0.39 TRYING [5,3]
% 0.15/0.39 TRYING [5,3]
% 0.15/0.39 TRYING [6]
% 0.15/0.40 TRYING [6]
% 0.15/0.40 TRYING [6,3]
% 0.15/0.40 TRYING [5,4]
% 0.21/0.41 TRYING [5,4]
% 0.21/0.41 TRYING [5,5]
% 0.21/0.41 TRYING [7]
% 0.21/0.42 TRYING [5,5]
% 0.21/0.42 TRYING [6,6]
% 0.21/0.43 TRYING [7]
% 0.21/0.43 TRYING [6,6]
% 0.21/0.44 TRYING [8]
% 0.21/0.44 TRYING [7,7]
% 0.21/0.45 TRYING [7,7]
% 0.21/0.47 TRYING [8]
% 0.21/0.48 TRYING [8,8]
% 0.21/0.48 TRYING [8,8]
% 0.21/0.48 TRYING [9]
% 0.21/0.52 TRYING [9,9]
% 0.21/0.52 TRYING [9,9]
% 0.21/0.53 TRYING [9]
% 0.21/0.53 TRYING [10]
% 0.21/0.58 TRYING [10,10]
% 0.21/0.58 TRYING [10,10]
% 1.88/0.62 TRYING [10]
% 2.02/0.65 TRYING [11]
% 2.02/0.68 TRYING [11,11]
% 2.02/0.68 TRYING [11,11]
% 2.65/0.76 TRYING [11]
% 3.19/0.80 TRYING [12]
% 3.19/0.83 TRYING [12,12]
% 3.19/0.84 TRYING [12,12]
% 3.19/0.86 % (24424)First to succeed.
% 3.19/0.86 % (24424)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24420"
% 3.19/0.86 % (24424)Refutation found. Thanks to Tanya!
% 3.19/0.86 % SZS status Theorem for theBenchmark
% 3.19/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 3.19/0.87 % (24424)------------------------------
% 3.19/0.87 % (24424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.19/0.87 % (24424)Termination reason: Refutation
% 3.19/0.87
% 3.19/0.87 % (24424)Memory used [KB]: 6042
% 3.19/0.87 % (24424)Time elapsed: 0.494 s
% 3.19/0.87 % (24424)Instructions burned: 1646 (million)
% 3.19/0.87 % (24420)Success in time 0.508 s
%------------------------------------------------------------------------------