TSTP Solution File: GEO187+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO187+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 : n007.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 11:14:33 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 108 ( 13 unt; 0 def)
% Number of atoms : 339 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 366 ( 135 ~; 168 |; 37 &)
% ( 16 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 119 ( 107 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1220,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f87,f151,f179,f252,f256,f280,f286,f324,f739,f756,f762,f800,f822,f1018,f1165,f1219]) ).
fof(f1219,plain,
( ~ spl4_1
| ~ spl4_40 ),
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1218,plain,
( $false
| ~ spl4_1
| ~ spl4_40 ),
inference(resolution,[],[f1192,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(f1192,plain,
( distinct_points(sK2,sK2)
| ~ spl4_1
| ~ spl4_40 ),
inference(resolution,[],[f1164,f60]) ).
fof(f60,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK1))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl4_1
<=> apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f1164,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK2) )
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f1163]) ).
fof(f1163,plain,
( spl4_40
<=> ! [X0] :
( distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f1165,plain,
( spl4_24
| spl4_40
| ~ spl4_17
| spl4_23 ),
inference(avatar_split_clause,[],[f778,f404,f322,f1163,f408]) ).
fof(f408,plain,
( spl4_24
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f322,plain,
( spl4_17
<=> ! [X0,X1] :
( apart_point_and_line(sK0,X0)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f404,plain,
( spl4_23
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f778,plain,
( ! [X0] :
( distinct_points(X0,sK2)
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) )
| ~ spl4_17
| spl4_23 ),
inference(resolution,[],[f405,f323]) ).
fof(f323,plain,
( ! [X0,X1] :
( apart_point_and_line(sK1,X0)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f405,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| spl4_23 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f1018,plain,
~ spl4_36,
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1017,plain,
( $false
| ~ spl4_36 ),
inference(resolution,[],[f799,f45]) ).
fof(f799,plain,
( distinct_points(sK0,sK0)
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f797,plain,
( spl4_36
<=> distinct_points(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f822,plain,
( ~ spl4_15
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f821,plain,
( $false
| ~ spl4_15
| ~ spl4_22 ),
inference(resolution,[],[f812,f45]) ).
fof(f812,plain,
( distinct_points(sK3,sK3)
| ~ spl4_15
| ~ spl4_22 ),
inference(resolution,[],[f401,f279]) ).
fof(f279,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK2,sK3))
| distinct_points(X0,sK3) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl4_15
<=> ! [X0] :
( distinct_points(X0,sK3)
| ~ apart_point_and_line(X0,line_connecting(sK2,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f401,plain,
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl4_22
<=> apart_point_and_line(sK3,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f800,plain,
( ~ spl4_3
| spl4_36
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f791,f408,f797,f77]) ).
fof(f77,plain,
( spl4_3
<=> distinct_points(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f791,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl4_24 ),
inference(resolution,[],[f410,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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,[],[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(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/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f410,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f762,plain,
~ spl4_33,
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl4_33 ),
inference(resolution,[],[f755,f45]) ).
fof(f755,plain,
( distinct_points(sK1,sK1)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f753,plain,
( spl4_33
<=> distinct_points(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f756,plain,
( ~ spl4_3
| spl4_33
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f750,f404,f753,f77]) ).
fof(f750,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl4_23 ),
inference(resolution,[],[f406,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f406,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f739,plain,
( ~ spl4_2
| spl4_24
| ~ spl4_9
| spl4_22
| spl4_23 ),
inference(avatar_split_clause,[],[f505,f404,f400,f149,f408,f62]) ).
fof(f62,plain,
( spl4_2
<=> apart_point_and_line(sK3,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f149,plain,
( spl4_9
<=> ! [X0] :
( apart_point_and_line(sK0,X0)
| ~ distinct_lines(X0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f505,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
| ~ spl4_9
| spl4_22
| spl4_23 ),
inference(resolution,[],[f405,f423]) ).
fof(f423,plain,
( ! [X0] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0)
| ~ apart_point_and_line(sK3,X0) )
| ~ spl4_9
| spl4_22 ),
inference(resolution,[],[f422,f150]) ).
fof(f150,plain,
( ! [X0] :
( ~ distinct_lines(X0,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f422,plain,
( ! [X0] :
( distinct_lines(X0,line_connecting(sK2,sK3))
| ~ apart_point_and_line(sK3,X0) )
| spl4_22 ),
inference(resolution,[],[f402,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,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/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f402,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK2,sK3))
| spl4_22 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f324,plain,
( ~ spl4_10
| spl4_17
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f195,f149,f322,f238]) ).
fof(f238,plain,
( spl4_10
<=> distinct_points(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f195,plain,
( ! [X0,X1] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| ~ distinct_points(sK2,sK3)
| distinct_points(X1,sK2)
| ~ apart_point_and_line(X1,X0) )
| ~ spl4_9 ),
inference(resolution,[],[f150,f75]) ).
fof(f75,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,[],[f52,f54]) ).
fof(f286,plain,
~ spl4_14,
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl4_14 ),
inference(resolution,[],[f276,f40]) ).
fof(f40,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1)) )
& ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
& ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
& distinct_points(sK2,sK3)
& distinct_points(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(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1)) )
& ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
& ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f276,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl4_14
<=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f280,plain,
( spl4_14
| spl4_15
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f263,f254,f278,f274]) ).
fof(f254,plain,
( spl4_12
<=> ! [X0,X1] :
( apart_point_and_line(sK0,X0)
| distinct_points(X1,sK3)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f263,plain,
( ! [X0] :
( distinct_points(X0,sK3)
| ~ apart_point_and_line(X0,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
| ~ spl4_12 ),
inference(resolution,[],[f255,f41]) ).
fof(f41,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
fof(f255,plain,
( ! [X0,X1] :
( apart_point_and_line(sK1,X0)
| distinct_points(X1,sK3)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( ~ spl4_10
| spl4_12
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f194,f149,f254,f238]) ).
fof(f194,plain,
( ! [X0,X1] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| ~ distinct_points(sK2,sK3)
| distinct_points(X1,sK3)
| ~ apart_point_and_line(X1,X0) )
| ~ spl4_9 ),
inference(resolution,[],[f150,f90]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( distinct_lines(X3,line_connecting(X2,X1))
| ~ distinct_points(X2,X1)
| distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X3) ),
inference(resolution,[],[f53,f54]) ).
fof(f252,plain,
spl4_10,
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| spl4_10 ),
inference(resolution,[],[f240,f39]) ).
fof(f39,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f240,plain,
( ~ distinct_points(sK2,sK3)
| spl4_10 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f179,plain,
spl4_8,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f172,plain,
( $false
| spl4_8 ),
inference(resolution,[],[f165,f38]) ).
fof(f38,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f165,plain,
( ~ distinct_points(sK0,sK1)
| spl4_8 ),
inference(resolution,[],[f164,f45]) ).
fof(f164,plain,
( ! [X0] :
( distinct_points(X0,sK0)
| ~ distinct_points(X0,sK1) )
| spl4_8 ),
inference(resolution,[],[f147,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,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/sandbox2/benchmark/theBenchmark.p',apart4) ).
fof(f147,plain,
( ~ distinct_points(sK1,sK0)
| spl4_8 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl4_8
<=> distinct_points(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f151,plain,
( ~ spl4_8
| spl4_9 ),
inference(avatar_split_clause,[],[f138,f149,f145]) ).
fof(f138,plain,
! [X0] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(sK1,X0)
| ~ distinct_lines(X0,line_connecting(sK2,sK3))
| ~ distinct_points(sK1,sK0) ),
inference(resolution,[],[f91,f41]) ).
fof(f91,plain,
! [X0,X1] :
( apart_point_and_line(X1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,X0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,line_connecting(sK2,sK3))
| ~ distinct_points(X1,sK0) ),
inference(resolution,[],[f56,f40]) ).
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(f87,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f85,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f79,f38]) ).
fof(f79,plain,
( ~ distinct_points(sK0,sK1)
| spl4_3 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f65,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f42,f62,f58]) ).
fof(f42,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO187+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 : n007.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 05:42:48 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (7052)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (7055)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 % (7053)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 % (7057)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (7054)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (7056)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (7058)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (7059)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]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [max,4,max,max]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 Detected minimum model sizes of [1,1,1,1]
% 0.13/0.37 Detected maximum model sizes of [max,4,max,max]
% 0.13/0.37 TRYING [1,1,1,1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2,2,1,1]
% 0.13/0.37 TRYING [2,2,1,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3,2,1,1]
% 0.13/0.37 TRYING [3,2,1,1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [4,2,1,1]
% 0.13/0.37 TRYING [4,2,1,1]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [3,3,1,1]
% 0.13/0.37 TRYING [3,3,1,1]
% 0.13/0.37 TRYING [4]
% 0.13/0.37 TRYING [5,2,1,1]
% 0.13/0.37 TRYING [5,2,1,1]
% 0.13/0.37 TRYING [4,3,1,1]
% 0.13/0.37 TRYING [4,3,1,1]
% 0.13/0.37 TRYING [5]
% 0.13/0.37 % (7055)First to succeed.
% 0.13/0.37 TRYING [6,2,1,1]
% 0.13/0.37 TRYING [5]
% 0.13/0.37 TRYING [6,2,1,1]
% 0.13/0.37 % (7055)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (7055)------------------------------
% 0.13/0.38 % (7055)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (7055)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (7055)Memory used [KB]: 1234
% 0.13/0.38 % (7055)Time elapsed: 0.018 s
% 0.13/0.38 % (7055)Instructions burned: 53 (million)
% 0.13/0.38 % (7055)------------------------------
% 0.13/0.38 % (7055)------------------------------
% 0.13/0.38 % (7052)Success in time 0.026 s
%------------------------------------------------------------------------------