TSTP Solution File: GEO191+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO191+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 : n015.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 : Tue Apr 30 11:14:35 EDT 2024
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 127 ( 15 unt; 0 def)
% Number of atoms : 381 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 400 ( 146 ~; 197 |; 30 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 133 ( 121 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2547,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f119,f191,f229,f246,f249,f308,f403,f549,f1510,f2067,f2321,f2334,f2415,f2466,f2546]) ).
fof(f2546,plain,
( spl4_4
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f2533]) ).
fof(f2533,plain,
( $false
| spl4_4
| ~ spl4_20 ),
inference(resolution,[],[f2514,f498]) ).
fof(f498,plain,
( distinct_lines(sK0,sK3)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl4_20
<=> distinct_lines(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f2514,plain,
( ~ distinct_lines(sK0,sK3)
| spl4_4 ),
inference(resolution,[],[f2336,f43]) ).
fof(f43,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(f2336,plain,
( ! [X0] :
( distinct_lines(X0,sK0)
| ~ distinct_lines(X0,sK3) )
| spl4_4 ),
inference(resolution,[],[f113,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,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(f113,plain,
( ~ distinct_lines(sK3,sK0)
| spl4_4 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl4_4
<=> distinct_lines(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f2466,plain,
~ spl4_36,
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2464,plain,
( $false
| ~ spl4_36 ),
inference(resolution,[],[f2461,f38]) ).
fof(f38,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f36]) ).
fof(f36,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f2461,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl4_36 ),
inference(resolution,[],[f1721,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f50,f45]) ).
fof(f45,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(f50,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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,[],[f24]) ).
fof(f24,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(f1721,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1719,plain,
( spl4_36
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f2415,plain,
~ spl4_17,
inference(avatar_contradiction_clause,[],[f2413]) ).
fof(f2413,plain,
( $false
| ~ spl4_17 ),
inference(resolution,[],[f2393,f39]) ).
fof(f39,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f2393,plain,
( ~ convergent_lines(sK2,sK3)
| ~ spl4_17 ),
inference(resolution,[],[f385,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f49,f45]) ).
fof(f49,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f385,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl4_17
<=> apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f2334,plain,
~ spl4_35,
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f2331,plain,
( $false
| ~ spl4_35 ),
inference(resolution,[],[f2328,f38]) ).
fof(f2328,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl4_35 ),
inference(resolution,[],[f1716,f79]) ).
fof(f1716,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1715,plain,
( spl4_35
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f2321,plain,
( ~ spl4_1
| spl4_35
| spl4_2
| ~ spl4_15
| spl4_17 ),
inference(avatar_split_clause,[],[f1516,f384,f306,f63,f1715,f59]) ).
fof(f59,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f63,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f306,plain,
( spl4_15
<=> ! [X0] :
( apart_point_and_line(X0,sK0)
| ~ distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f1516,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| spl4_2
| ~ spl4_15
| spl4_17 ),
inference(resolution,[],[f64,f457]) ).
fof(f457,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK0)
| ~ apart_point_and_line(X0,sK2) )
| ~ spl4_15
| spl4_17 ),
inference(resolution,[],[f398,f307]) ).
fof(f307,plain,
( ! [X0] :
( ~ distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK3) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f398,plain,
( ! [X0] :
( distinct_points(X0,intersection_point(sK2,sK3))
| ~ apart_point_and_line(X0,sK2) )
| spl4_17 ),
inference(resolution,[],[f386,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f386,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK2)
| spl4_17 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f64,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
| spl4_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f2067,plain,
( ~ spl4_1
| spl4_36
| spl4_2
| spl4_17
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f1515,f401,f384,f63,f1719,f59]) ).
fof(f401,plain,
( spl4_19
<=> ! [X0] :
( apart_point_and_line(X0,sK1)
| ~ distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f1515,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| spl4_2
| spl4_17
| ~ spl4_19 ),
inference(resolution,[],[f64,f550]) ).
fof(f550,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK2) )
| spl4_17
| ~ spl4_19 ),
inference(resolution,[],[f402,f398]) ).
fof(f402,plain,
( ! [X0] :
( ~ distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK3) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f1510,plain,
( ~ spl4_3
| ~ spl4_2
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f1498,f244,f63,f108]) ).
fof(f108,plain,
( spl4_3
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f244,plain,
( spl4_11
<=> ! [X0] :
( apart_point_and_line(X0,sK0)
| ~ apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f1498,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ convergent_lines(sK0,sK1)
| ~ spl4_11 ),
inference(duplicate_literal_removal,[],[f1493]) ).
fof(f1493,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ convergent_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1)
| ~ spl4_11 ),
inference(resolution,[],[f262,f79]) ).
fof(f262,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(X0,sK1),sK0)
| ~ apart_point_and_line(intersection_point(X0,sK1),sK3)
| ~ convergent_lines(X0,sK1) )
| ~ spl4_11 ),
inference(resolution,[],[f245,f83]) ).
fof(f245,plain,
( ! [X0] :
( apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK0) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f549,plain,
( spl4_5
| spl4_20 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| spl4_5
| spl4_20 ),
inference(resolution,[],[f524,f38]) ).
fof(f524,plain,
( ~ convergent_lines(sK0,sK1)
| spl4_5
| spl4_20 ),
inference(resolution,[],[f509,f421]) ).
fof(f421,plain,
( ! [X0] :
( convergent_lines(X0,sK3)
| ~ convergent_lines(X0,sK1) )
| spl4_5 ),
inference(resolution,[],[f419,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,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(f419,plain,
( ~ convergent_lines(sK1,sK3)
| spl4_5 ),
inference(resolution,[],[f414,f46]) ).
fof(f46,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,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(f414,plain,
( ~ distinct_lines(sK1,sK3)
| spl4_5 ),
inference(resolution,[],[f406,f43]) ).
fof(f406,plain,
( ! [X0] :
( distinct_lines(X0,sK1)
| ~ distinct_lines(X0,sK3) )
| spl4_5 ),
inference(resolution,[],[f128,f47]) ).
fof(f128,plain,
( ~ distinct_lines(sK3,sK1)
| spl4_5 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl4_5
<=> distinct_lines(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f509,plain,
( ~ convergent_lines(sK0,sK3)
| spl4_20 ),
inference(resolution,[],[f499,f46]) ).
fof(f499,plain,
( ~ distinct_lines(sK0,sK3)
| spl4_20 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f403,plain,
( ~ spl4_10
| ~ spl4_5
| spl4_19 ),
inference(avatar_split_clause,[],[f168,f401,f127,f240]) ).
fof(f240,plain,
( spl4_10
<=> convergent_lines(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f168,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK3)
| ~ distinct_lines(sK3,sK1)
| ~ distinct_points(X0,intersection_point(sK2,sK3))
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f94,f83]) ).
fof(f94,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(X1,sK1)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK1)
| ~ distinct_points(X1,intersection_point(sK2,sK3)) ),
inference(resolution,[],[f56,f42]) ).
fof(f42,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f308,plain,
( ~ spl4_10
| ~ spl4_4
| spl4_15 ),
inference(avatar_split_clause,[],[f156,f306,f112,f240]) ).
fof(f156,plain,
! [X0] :
( apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK3)
| ~ distinct_lines(sK3,sK0)
| ~ distinct_points(X0,intersection_point(sK2,sK3))
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f93,f83]) ).
fof(f93,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(X1,sK0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK0)
| ~ distinct_points(X1,intersection_point(sK2,sK3)) ),
inference(resolution,[],[f56,f41]) ).
fof(f41,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f249,plain,
spl4_10,
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| spl4_10 ),
inference(resolution,[],[f242,f39]) ).
fof(f242,plain,
( ~ convergent_lines(sK2,sK3)
| spl4_10 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f246,plain,
( ~ spl4_10
| spl4_11
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f234,f189,f244,f240]) ).
fof(f189,plain,
( spl4_9
<=> ! [X0] :
( apart_point_and_line(X0,sK0)
| ~ distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f234,plain,
( ! [X0] :
( apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK3)
| ~ convergent_lines(sK2,sK3) )
| ~ spl4_9 ),
inference(resolution,[],[f190,f50]) ).
fof(f190,plain,
( ! [X0] :
( ~ distinct_points(X0,intersection_point(sK2,sK3))
| apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f229,plain,
spl4_8,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl4_8 ),
inference(resolution,[],[f226,f38]) ).
fof(f226,plain,
( ~ convergent_lines(sK0,sK1)
| spl4_8 ),
inference(resolution,[],[f220,f46]) ).
fof(f220,plain,
( ~ distinct_lines(sK0,sK1)
| spl4_8 ),
inference(resolution,[],[f195,f43]) ).
fof(f195,plain,
( ! [X0] :
( distinct_lines(X0,sK0)
| ~ distinct_lines(X0,sK1) )
| spl4_8 ),
inference(resolution,[],[f187,f47]) ).
fof(f187,plain,
( ~ distinct_lines(sK1,sK0)
| spl4_8 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl4_8
<=> distinct_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f191,plain,
( ~ spl4_8
| spl4_9 ),
inference(avatar_split_clause,[],[f152,f189,f185]) ).
fof(f152,plain,
! [X0] :
( apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK1)
| ~ distinct_lines(sK1,sK0)
| ~ distinct_points(X0,intersection_point(sK2,sK3)) ),
inference(resolution,[],[f93,f42]) ).
fof(f119,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f110,f38]) ).
fof(f110,plain,
( ~ convergent_lines(sK0,sK1)
| spl4_3 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f66,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f40,f63,f59]) ).
fof(f40,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO191+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
% 0.13/0.34 % Computer : n015.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 : Tue Apr 30 06:03:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (983)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (989)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (986)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)
% 0.13/0.36 % (985)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (988)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (987)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (990)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)
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2,3]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 % (984)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2,3]
% 0.13/0.37 TRYING [3,3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3,3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2,4]
% 0.13/0.37 TRYING [2,4]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3,4]
% 0.13/0.37 TRYING [3,4]
% 0.13/0.37 TRYING [2,5]
% 0.13/0.37 TRYING [5]
% 0.19/0.37 TRYING [2,5]
% 0.19/0.37 TRYING [3,5]
% 0.19/0.37 TRYING [5]
% 0.19/0.38 TRYING [3,5]
% 0.19/0.38 TRYING [2,6]
% 0.19/0.38 TRYING [2,6]
% 0.19/0.38 TRYING [4,4]
% 0.19/0.38 TRYING [4,4]
% 0.19/0.38 TRYING [6]
% 0.19/0.38 TRYING [6]
% 0.19/0.38 TRYING [3,6]
% 0.19/0.38 TRYING [3,6]
% 0.19/0.39 TRYING [2,7]
% 0.19/0.39 TRYING [2,7]
% 0.19/0.39 TRYING [4,5]
% 0.19/0.39 TRYING [4,5]
% 0.19/0.39 TRYING [7]
% 0.19/0.39 TRYING [3,7]
% 0.19/0.40 TRYING [3,7]
% 0.19/0.40 TRYING [7]
% 0.19/0.40 TRYING [2,8]
% 0.19/0.40 TRYING [2,8]
% 0.19/0.40 TRYING [4,6]
% 0.19/0.41 TRYING [4,6]
% 0.19/0.41 TRYING [3,8]
% 0.19/0.41 TRYING [3,8]
% 0.19/0.41 TRYING [8]
% 0.19/0.42 % (986)First to succeed.
% 0.19/0.42 TRYING [2,9]
% 0.19/0.42 TRYING [2,9]
% 0.19/0.42 % (986)Refutation found. Thanks to Tanya!
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.42 % (986)------------------------------
% 0.19/0.42 % (986)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.42 % (986)Termination reason: Refutation
% 0.19/0.42
% 0.19/0.42 % (986)Memory used [KB]: 1593
% 0.19/0.42 % (986)Time elapsed: 0.056 s
% 0.19/0.42 % (986)Instructions burned: 115 (million)
% 0.19/0.42 % (986)------------------------------
% 0.19/0.42 % (986)------------------------------
% 0.19/0.42 % (983)Success in time 0.07 s
%------------------------------------------------------------------------------