TSTP Solution File: GEO181+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO181+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 : n020.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 11:14:30 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 99 ( 11 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 415 ( 162 ~; 215 |; 15 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 151 ( 142 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1082,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f78,f87,f112,f130,f138,f245,f323,f934,f1076,f1079,f1081]) ).
fof(f1081,plain,
~ spl3_29,
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl3_29 ),
inference(resolution,[],[f1071,f42]) ).
fof(f42,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f1071,plain,
( distinct_points(sK0,sK0)
| ~ spl3_29 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1069,plain,
( spl3_29
<=> distinct_points(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f1079,plain,
~ spl3_30,
inference(avatar_contradiction_clause,[],[f1078]) ).
fof(f1078,plain,
( $false
| ~ spl3_30 ),
inference(resolution,[],[f1075,f42]) ).
fof(f1075,plain,
( distinct_points(sK2,sK2)
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1073,plain,
( spl3_30
<=> distinct_points(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f1076,plain,
( spl3_29
| spl3_30
| ~ spl3_1
| ~ spl3_14
| ~ spl3_26 ),
inference(avatar_split_clause,[],[f1008,f932,f321,f65,f1073,f1069]) ).
fof(f65,plain,
( spl3_1
<=> distinct_points(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f321,plain,
( spl3_14
<=> ! [X0] :
( distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,line_connecting(sK0,sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f932,plain,
( spl3_26
<=> ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| distinct_points(sK0,X0)
| ~ distinct_points(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f1008,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK2,sK2)
| distinct_points(sK0,sK0)
| ~ spl3_14
| ~ spl3_26 ),
inference(resolution,[],[f937,f38]) ).
fof(f38,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK2))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK1,line_connecting(sK0,sK2))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,line_connecting(X0,X2))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X1,line_connecting(X0,X2)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X1,line_connecting(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f937,plain,
( ! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,sK1))
| ~ distinct_points(X0,sK1)
| distinct_points(X1,sK2)
| distinct_points(sK0,X0) )
| ~ spl3_14
| ~ spl3_26 ),
inference(resolution,[],[f933,f347]) ).
fof(f347,plain,
( ! [X0,X1] :
( distinct_lines(X1,line_connecting(sK0,sK2))
| distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,X1) )
| ~ spl3_14 ),
inference(resolution,[],[f322,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f322,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK2))
| distinct_points(X0,sK2) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f933,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| distinct_points(sK0,X0)
| ~ distinct_points(X0,sK1) )
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f934,plain,
( ~ spl3_1
| spl3_26
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f929,f136,f932,f65]) ).
fof(f136,plain,
( spl3_6
<=> ! [X0,X1] :
( apart_point_and_line(sK1,X0)
| distinct_points(X1,sK0)
| ~ distinct_points(X1,sK1)
| ~ distinct_lines(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f929,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK1)
| ~ distinct_points(X0,sK1)
| distinct_points(sK0,X0) )
| ~ spl3_6 ),
inference(resolution,[],[f632,f42]) ).
fof(f632,plain,
( ! [X0,X1] :
( distinct_points(X1,sK0)
| ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(X1,sK1)
| ~ distinct_points(X0,sK1)
| distinct_points(X1,X0) )
| ~ spl3_6 ),
inference(resolution,[],[f240,f42]) ).
fof(f240,plain,
( ! [X2,X0,X1] :
( distinct_points(sK1,X2)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK0,sK2))
| distinct_points(X0,sK0)
| ~ distinct_points(X0,sK1)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) )
| ~ spl3_6 ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f239,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X0,sK1)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK0,sK2))
| distinct_points(X0,sK0)
| distinct_points(sK1,X2)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1)
| ~ distinct_points(X1,X2) )
| ~ spl3_6 ),
inference(resolution,[],[f141,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
fof(f141,plain,
( ! [X2,X0,X1] :
( apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X0,sK1)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK0,sK2))
| distinct_points(X0,sK0)
| distinct_points(sK1,X2)
| ~ distinct_points(X1,X2) )
| ~ spl3_6 ),
inference(resolution,[],[f137,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f137,plain,
( ! [X0,X1] :
( apart_point_and_line(sK1,X0)
| distinct_points(X1,sK0)
| ~ distinct_points(X1,sK1)
| ~ distinct_lines(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X1,X0) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f323,plain,
( spl3_14
| ~ spl3_3
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f319,f243,f84,f321]) ).
fof(f84,plain,
( spl3_3
<=> distinct_points(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f243,plain,
( spl3_13
<=> ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| distinct_points(sK2,X0)
| ~ distinct_points(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f319,plain,
( ! [X0] :
( ~ distinct_points(sK2,sK1)
| distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,line_connecting(sK0,sK2)) )
| ~ spl3_13 ),
inference(resolution,[],[f308,f42]) ).
fof(f308,plain,
( ! [X0,X1] :
( distinct_points(sK2,X0)
| ~ distinct_points(X0,sK1)
| distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(sK0,sK2)) )
| ~ spl3_13 ),
inference(duplicate_literal_removal,[],[f306]) ).
fof(f306,plain,
( ! [X0,X1] :
( distinct_points(sK2,X0)
| ~ distinct_points(X0,sK1)
| ~ distinct_points(X0,sK1)
| distinct_points(X1,X0)
| ~ apart_point_and_line(X1,line_connecting(sK0,sK2)) )
| ~ spl3_13 ),
inference(resolution,[],[f294,f63]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( distinct_lines(X3,line_connecting(X1,X2))
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X3) ),
inference(resolution,[],[f49,f51]) ).
fof(f294,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(sK0,sK2),line_connecting(X0,sK1))
| distinct_points(sK2,X0)
| ~ distinct_points(X0,sK1) )
| ~ spl3_13 ),
inference(resolution,[],[f250,f41]) ).
fof(f41,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart2) ).
fof(f250,plain,
( ! [X0,X1] :
( distinct_lines(X1,line_connecting(sK0,sK2))
| ~ distinct_points(X0,sK1)
| distinct_points(sK2,X0)
| ~ distinct_lines(X1,line_connecting(X0,sK1)) )
| ~ spl3_13 ),
inference(resolution,[],[f244,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,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/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f244,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| distinct_points(sK2,X0)
| ~ distinct_points(X0,sK1) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( ~ spl3_3
| spl3_13
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f235,f110,f243,f84]) ).
fof(f110,plain,
( spl3_5
<=> ! [X0,X1] :
( apart_point_and_line(sK1,X0)
| distinct_points(X1,sK2)
| ~ distinct_points(X1,sK1)
| ~ distinct_lines(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f235,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK2,sK1)
| ~ distinct_points(X0,sK1)
| distinct_points(sK2,X0) )
| ~ spl3_5 ),
inference(resolution,[],[f228,f42]) ).
fof(f228,plain,
( ! [X0,X1] :
( distinct_points(X1,sK2)
| ~ distinct_lines(line_connecting(X0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(X1,sK1)
| ~ distinct_points(X0,sK1)
| distinct_points(X1,X0) )
| ~ spl3_5 ),
inference(resolution,[],[f224,f42]) ).
fof(f224,plain,
( ! [X2,X0,X1] :
( distinct_points(sK1,X2)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK0,sK2))
| distinct_points(X0,sK2)
| ~ distinct_points(X0,sK1)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) )
| ~ spl3_5 ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X0,sK1)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK0,sK2))
| distinct_points(X0,sK2)
| distinct_points(sK1,X2)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1)
| ~ distinct_points(X1,X2) )
| ~ spl3_5 ),
inference(resolution,[],[f133,f49]) ).
fof(f133,plain,
( ! [X2,X0,X1] :
( apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X0,sK1)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK0,sK2))
| distinct_points(X0,sK2)
| distinct_points(sK1,X2)
| ~ distinct_points(X1,X2) )
| ~ spl3_5 ),
inference(resolution,[],[f111,f50]) ).
fof(f111,plain,
( ! [X0,X1] :
( apart_point_and_line(sK1,X0)
| distinct_points(X1,sK2)
| ~ distinct_points(X1,sK1)
| ~ distinct_lines(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X1,X0) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f138,plain,
( ~ spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f97,f136,f106]) ).
fof(f106,plain,
( spl3_4
<=> distinct_points(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f97,plain,
! [X0,X1] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,line_connecting(sK0,sK2))
| ~ distinct_points(X1,sK1)
| distinct_points(X1,sK0)
| ~ distinct_points(sK0,sK2) ),
inference(resolution,[],[f79,f49]) ).
fof(f79,plain,
! [X0,X1] :
( apart_point_and_line(X1,line_connecting(sK0,sK2))
| apart_point_and_line(sK1,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,line_connecting(sK0,sK2))
| ~ distinct_points(X1,sK1) ),
inference(resolution,[],[f53,f39]) ).
fof(f39,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f53,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,[],[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(flattening,[],[f33]) ).
fof(f33,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,[],[f15]) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f130,plain,
( ~ spl3_2
| spl3_4 ),
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| ~ spl3_2
| spl3_4 ),
inference(resolution,[],[f123,f71]) ).
fof(f71,plain,
( distinct_points(sK2,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl3_2
<=> distinct_points(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f123,plain,
( ~ distinct_points(sK2,sK0)
| spl3_4 ),
inference(resolution,[],[f122,f42]) ).
fof(f122,plain,
( ! [X0] :
( distinct_points(X0,sK2)
| ~ distinct_points(X0,sK0) )
| spl3_4 ),
inference(resolution,[],[f108,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f108,plain,
( ~ distinct_points(sK0,sK2)
| spl3_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f112,plain,
( ~ spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f96,f110,f106]) ).
fof(f96,plain,
! [X0,X1] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,line_connecting(sK0,sK2))
| ~ distinct_points(X1,sK1)
| distinct_points(X1,sK2)
| ~ distinct_points(sK0,sK2) ),
inference(resolution,[],[f79,f50]) ).
fof(f87,plain,
( ~ spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f73,f84,f65]) ).
fof(f73,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f50,f38]) ).
fof(f78,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f67,f37]) ).
fof(f37,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f67,plain,
( ~ distinct_points(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f72,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f61,f69,f65]) ).
fof(f61,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f49,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO181+2 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n020.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 : Tue Apr 30 05:45:32 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (16691)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (16698)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [4]
% 0.21/0.37 TRYING [5]
% 0.21/0.37 % (16692)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 % (16695)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.21/0.37 % (16694)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)
% 0.21/0.37 % (16693)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (16696)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37 % (16697)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.21/0.37 Detected maximum model sizes of [max,3,max,max]
% 0.21/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.21/0.37 Detected maximum model sizes of [max,3,max,max]
% 0.21/0.37 TRYING [1,1,1,1]
% 0.21/0.37 TRYING [1,1,1,1]
% 0.21/0.37 TRYING [2,2,1,1]
% 0.21/0.37 TRYING [2,2,1,1]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [3,2,1,1]
% 0.21/0.37 TRYING [3,2,1,1]
% 0.21/0.37 TRYING [4,2,1,1]
% 0.21/0.38 TRYING [4,2,1,1]
% 0.21/0.38 TRYING [4]
% 0.21/0.38 TRYING [3,3,1,1]
% 0.21/0.38 TRYING [3,3,1,1]
% 0.21/0.38 TRYING [6]
% 0.21/0.38 TRYING [5,2,1,1]
% 0.21/0.38 TRYING [5,2,1,1]
% 0.21/0.38 TRYING [4,3,1,1]
% 0.21/0.38 TRYING [5]
% 0.21/0.38 TRYING [4,3,1,1]
% 0.21/0.38 TRYING [6,2,1,1]
% 0.21/0.38 TRYING [6,2,1,1]
% 0.21/0.38 TRYING [5,3,1,1]
% 0.21/0.38 TRYING [5,3,1,1]
% 0.21/0.38 TRYING [7,2,1,1]
% 0.21/0.38 TRYING [6]
% 0.21/0.38 TRYING [7,2,1,1]
% 0.21/0.39 TRYING [6,3,1,1]
% 0.21/0.39 TRYING [7]
% 0.21/0.39 TRYING [6,3,1,1]
% 0.21/0.39 TRYING [8,2,1,1]
% 0.21/0.39 TRYING [8,2,1,1]
% 0.21/0.39 TRYING [7,3,1,1]
% 0.21/0.39 TRYING [7,3,1,1]
% 0.21/0.40 TRYING [7]
% 0.21/0.40 TRYING [9,2,1,1]
% 0.21/0.40 TRYING [9,2,1,1]
% 0.21/0.40 % (16694)First to succeed.
% 0.21/0.40 TRYING [8,3,1,1]
% 0.21/0.40 TRYING [8,3,1,1]
% 0.21/0.40 % (16694)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (16694)------------------------------
% 0.21/0.40 % (16694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (16694)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (16694)Memory used [KB]: 1213
% 0.21/0.40 % (16694)Time elapsed: 0.030 s
% 0.21/0.40 % (16694)Instructions burned: 54 (million)
% 0.21/0.40 % (16694)------------------------------
% 0.21/0.40 % (16694)------------------------------
% 0.21/0.40 % (16691)Success in time 0.047 s
%------------------------------------------------------------------------------