TSTP Solution File: GEO180+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO180+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 : n016.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 05:15:53 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 101 ( 12 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 432 ( 171 ~; 223 |; 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 : 155 ( 146 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f813,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f87,f108,f233,f265,f420,f493,f527,f644,f804,f806,f812]) ).
fof(f812,plain,
~ spl3_20,
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl3_20 ),
inference(resolution,[],[f799,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(f799,plain,
( distinct_points(sK1,sK1)
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f797,plain,
( spl3_20
<=> distinct_points(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f806,plain,
~ spl3_21,
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl3_21 ),
inference(resolution,[],[f803,f42]) ).
fof(f803,plain,
( distinct_points(sK2,sK2)
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl3_21
<=> distinct_points(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f804,plain,
( spl3_20
| spl3_21
| ~ spl3_1
| ~ spl3_16
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f724,f642,f488,f65,f801,f797]) ).
fof(f65,plain,
( spl3_1
<=> distinct_points(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f488,plain,
( spl3_16
<=> ! [X1] :
( distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,line_connecting(sK2,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f642,plain,
( spl3_19
<=> ! [X0] :
( ~ distinct_lines(line_connecting(sK0,X0),line_connecting(sK2,sK1))
| distinct_points(sK1,X0)
| ~ distinct_points(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f724,plain,
( ~ distinct_points(sK0,sK1)
| distinct_points(sK2,sK2)
| distinct_points(sK1,sK1)
| ~ spl3_16
| ~ spl3_19 ),
inference(resolution,[],[f646,f38]) ).
fof(f38,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& 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(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& 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(X0,line_connecting(X2,X1))
& 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(X0,line_connecting(X2,X1))
& 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(X0,line_connecting(X2,X1)) ) ),
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(X0,line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f646,plain,
( ! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(sK0,X0))
| ~ distinct_points(sK0,X0)
| distinct_points(X1,sK2)
| distinct_points(sK1,X0) )
| ~ spl3_16
| ~ spl3_19 ),
inference(resolution,[],[f643,f551]) ).
fof(f551,plain,
( ! [X0,X1] :
( distinct_lines(X1,line_connecting(sK2,sK1))
| distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,X1) )
| ~ spl3_16 ),
inference(resolution,[],[f489,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(f489,plain,
( ! [X1] :
( ~ apart_point_and_line(X1,line_connecting(sK2,sK1))
| distinct_points(X1,sK2) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f643,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(sK0,X0),line_connecting(sK2,sK1))
| distinct_points(sK1,X0)
| ~ distinct_points(sK0,X0) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( ~ spl3_12
| spl3_19
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f640,f106,f642,f227]) ).
fof(f227,plain,
( spl3_12
<=> distinct_points(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f106,plain,
( spl3_4
<=> ! [X0,X1] :
( apart_point_and_line(sK0,X0)
| distinct_points(X1,sK1)
| ~ distinct_points(X1,sK0)
| ~ distinct_lines(X0,line_connecting(sK2,sK1))
| apart_point_and_line(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f640,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(sK0,X0),line_connecting(sK2,sK1))
| ~ distinct_points(sK1,sK0)
| ~ distinct_points(sK0,X0)
| distinct_points(sK1,X0) )
| ~ spl3_4 ),
inference(resolution,[],[f586,f42]) ).
fof(f586,plain,
( ! [X0,X1] :
( distinct_points(X1,sK1)
| ~ distinct_lines(line_connecting(sK0,X0),line_connecting(sK2,sK1))
| ~ distinct_points(X1,sK0)
| ~ distinct_points(sK0,X0)
| distinct_points(X1,X0) )
| ~ spl3_4 ),
inference(resolution,[],[f218,f42]) ).
fof(f218,plain,
( ! [X2,X0,X1] :
( distinct_points(sK0,X1)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK2,sK1))
| distinct_points(X0,sK1)
| ~ distinct_points(X0,sK0)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2) )
| ~ spl3_4 ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X0,sK0)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK2,sK1))
| distinct_points(X0,sK1)
| distinct_points(sK0,X1)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X1,X2) )
| ~ spl3_4 ),
inference(resolution,[],[f118,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(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(f118,plain,
( ! [X2,X0,X1] :
( apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X0,sK0)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK2,sK1))
| distinct_points(X0,sK1)
| distinct_points(sK0,X1)
| ~ distinct_points(X1,X2) )
| ~ spl3_4 ),
inference(resolution,[],[f107,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(f107,plain,
( ! [X0,X1] :
( apart_point_and_line(sK0,X0)
| distinct_points(X1,sK1)
| ~ distinct_points(X1,sK0)
| ~ distinct_lines(X0,line_connecting(sK2,sK1))
| apart_point_and_line(X1,X0) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f527,plain,
( ~ spl3_12
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| ~ spl3_12
| ~ spl3_17 ),
inference(resolution,[],[f505,f228]) ).
fof(f228,plain,
( distinct_points(sK1,sK0)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f505,plain,
( ~ distinct_points(sK1,sK0)
| ~ spl3_17 ),
inference(resolution,[],[f492,f42]) ).
fof(f492,plain,
( ! [X0] :
( distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl3_17
<=> ! [X0] :
( distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f493,plain,
( spl3_16
| spl3_17
| ~ spl3_13
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f486,f418,f231,f491,f488]) ).
fof(f231,plain,
( spl3_13
<=> ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK0),line_connecting(sK2,sK1))
| distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f418,plain,
( spl3_15
<=> ! [X0,X1] :
( distinct_points(sK1,X0)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,line_connecting(X0,sK0))
| ~ distinct_points(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f486,plain,
( ! [X0,X1] :
( distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,line_connecting(sK2,sK1)) )
| ~ spl3_13
| ~ spl3_15 ),
inference(duplicate_literal_removal,[],[f485]) ).
fof(f485,plain,
( ! [X0,X1] :
( distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,line_connecting(sK2,sK1))
| distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0) )
| ~ spl3_13
| ~ spl3_15 ),
inference(resolution,[],[f444,f325]) ).
fof(f325,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(sK2,sK1),line_connecting(X0,sK0))
| distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0) )
| ~ spl3_13 ),
inference(resolution,[],[f276,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(f276,plain,
( ! [X0,X1] :
( distinct_lines(X1,line_connecting(sK2,sK1))
| ~ distinct_points(X0,sK0)
| distinct_points(sK1,X0)
| ~ distinct_lines(X1,line_connecting(X0,sK0)) )
| ~ spl3_13 ),
inference(resolution,[],[f232,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(f232,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK0),line_connecting(sK2,sK1))
| distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f444,plain,
( ! [X2,X0,X1] :
( distinct_lines(X2,line_connecting(X1,sK0))
| distinct_points(sK1,X1)
| ~ distinct_points(X1,sK0)
| distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,X2) )
| ~ spl3_15 ),
inference(resolution,[],[f419,f51]) ).
fof(f419,plain,
( ! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,sK0))
| distinct_points(X1,sK2)
| distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( ~ spl3_3
| spl3_15
| ~ spl3_13 ),
inference(avatar_split_clause,[],[f275,f231,f418,f84]) ).
fof(f84,plain,
( spl3_3
<=> distinct_points(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f275,plain,
( ! [X0,X1] :
( distinct_points(sK1,X0)
| ~ distinct_points(X0,sK0)
| ~ distinct_points(sK2,sK1)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,line_connecting(X0,sK0)) )
| ~ spl3_13 ),
inference(resolution,[],[f232,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(f265,plain,
spl3_12,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| spl3_12 ),
inference(resolution,[],[f247,f37]) ).
fof(f37,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f247,plain,
( ~ distinct_points(sK0,sK1)
| spl3_12 ),
inference(resolution,[],[f239,f42]) ).
fof(f239,plain,
( ! [X0] :
( distinct_points(X0,sK0)
| ~ distinct_points(X0,sK1) )
| spl3_12 ),
inference(resolution,[],[f229,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(f229,plain,
( ~ distinct_points(sK1,sK0)
| spl3_12 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f233,plain,
( ~ spl3_12
| spl3_13
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f219,f106,f231,f227]) ).
fof(f219,plain,
( ! [X0] :
( ~ distinct_lines(line_connecting(X0,sK0),line_connecting(sK2,sK1))
| ~ distinct_points(sK1,sK0)
| ~ distinct_points(X0,sK0)
| distinct_points(sK1,X0) )
| ~ spl3_4 ),
inference(resolution,[],[f212,f42]) ).
fof(f212,plain,
( ! [X0,X1] :
( distinct_points(X1,sK1)
| ~ distinct_lines(line_connecting(X0,sK0),line_connecting(sK2,sK1))
| ~ distinct_points(X1,sK0)
| ~ distinct_points(X0,sK0)
| distinct_points(X1,X0) )
| ~ spl3_4 ),
inference(resolution,[],[f208,f42]) ).
fof(f208,plain,
( ! [X2,X0,X1] :
( distinct_points(sK0,X2)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK2,sK1))
| distinct_points(X0,sK1)
| ~ distinct_points(X0,sK0)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1) )
| ~ spl3_4 ),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X0,sK0)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK2,sK1))
| distinct_points(X0,sK1)
| distinct_points(sK0,X2)
| ~ distinct_points(X1,X2)
| distinct_points(X0,X1)
| ~ distinct_points(X1,X2) )
| ~ spl3_4 ),
inference(resolution,[],[f117,f49]) ).
fof(f117,plain,
( ! [X2,X0,X1] :
( apart_point_and_line(X0,line_connecting(X1,X2))
| ~ distinct_points(X0,sK0)
| ~ distinct_lines(line_connecting(X1,X2),line_connecting(sK2,sK1))
| distinct_points(X0,sK1)
| distinct_points(sK0,X2)
| ~ distinct_points(X1,X2) )
| ~ spl3_4 ),
inference(resolution,[],[f107,f50]) ).
fof(f108,plain,
( ~ spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f96,f106,f84]) ).
fof(f96,plain,
! [X0,X1] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,line_connecting(sK2,sK1))
| ~ distinct_points(X1,sK0)
| distinct_points(X1,sK1)
| ~ distinct_points(sK2,sK1) ),
inference(resolution,[],[f79,f50]) ).
fof(f79,plain,
! [X0,X1] :
( apart_point_and_line(X1,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,line_connecting(sK2,sK1))
| ~ distinct_points(X1,sK0) ),
inference(resolution,[],[f53,f39]) ).
fof(f39,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
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(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(f67,plain,
( ~ distinct_points(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO180+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:59:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (928)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (933)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (929)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (932)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (934)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (930)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (931)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)
% 0.14/0.37 % (935)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,3,max,max]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,3,max,max]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1,1,1,1]
% 0.14/0.37 TRYING [1,1,1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,2,1,1]
% 0.14/0.37 TRYING [2,2,1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3,2,1,1]
% 0.14/0.37 TRYING [3,2,1,1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4,2,1,1]
% 0.14/0.37 TRYING [4,2,1,1]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [3,3,1,1]
% 0.14/0.37 TRYING [3,3,1,1]
% 0.14/0.37 TRYING [4]
% 0.14/0.38 TRYING [5,2,1,1]
% 0.14/0.38 TRYING [5,2,1,1]
% 0.14/0.38 TRYING [4,3,1,1]
% 0.14/0.38 TRYING [4,3,1,1]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [5]
% 0.14/0.38 TRYING [6,2,1,1]
% 0.14/0.38 TRYING [6,2,1,1]
% 0.14/0.38 TRYING [5,3,1,1]
% 0.14/0.38 TRYING [5,3,1,1]
% 0.14/0.38 TRYING [6]
% 0.14/0.38 TRYING [7,2,1,1]
% 0.14/0.38 TRYING [7,2,1,1]
% 0.14/0.38 TRYING [6,3,1,1]
% 0.14/0.39 TRYING [6,3,1,1]
% 0.14/0.39 TRYING [6]
% 0.14/0.39 TRYING [8,2,1,1]
% 0.14/0.39 TRYING [8,2,1,1]
% 0.14/0.39 % (931)First to succeed.
% 0.14/0.39 TRYING [7,3,1,1]
% 0.14/0.39 TRYING [7,3,1,1]
% 0.14/0.39 % (931)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-928"
% 0.14/0.39 % (931)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (931)------------------------------
% 0.14/0.39 % (931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (931)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (931)Memory used [KB]: 1086
% 0.14/0.39 % (931)Time elapsed: 0.024 s
% 0.14/0.39 % (931)Instructions burned: 41 (million)
% 0.14/0.39 % (928)Success in time 0.04 s
%------------------------------------------------------------------------------