TSTP Solution File: GEO179+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 16:08:58 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 9 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 125 ( 44 ~; 46 |; 23 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 60 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f542,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f523,f541]) ).
fof(f541,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f539,f59]) ).
fof(f59,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(f539,plain,
( distinct_points(sK1,sK1)
| spl3_2 ),
inference(resolution,[],[f534,f65]) ).
fof(f65,plain,
apart_point_and_line(sK1,line_connecting(sK2,sK0)),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK0))
| ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK2)) )
& apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f48,f49]) ).
fof(f49,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X2,X0),line_connecting(X1,X0))
| ~ distinct_lines(line_connecting(X2,X0),line_connecting(X1,X2)) )
& apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X0) )
=> ( ( ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK0))
| ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK2)) )
& apart_point_and_line(sK1,line_connecting(sK2,sK0))
& distinct_points(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X2,X0),line_connecting(X1,X0))
| ~ distinct_lines(line_connecting(X2,X0),line_connecting(X1,X2)) )
& apart_point_and_line(X1,line_connecting(X2,X0))
& distinct_points(X2,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
? [X1,X0,X2] :
( ( ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1))
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2)) )
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X1,X0,X2] :
( ( ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1))
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2)) )
& apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X1,X0,X2] :
( ( apart_point_and_line(X0,line_connecting(X2,X1))
& distinct_points(X2,X1) )
=> ( distinct_lines(line_connecting(X2,X1),line_connecting(X0,X1))
& distinct_lines(line_connecting(X2,X1),line_connecting(X0,X2)) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X2,X1,X0] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X2,X1,X0] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f534,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK2,sK0))
| distinct_points(X0,sK1) )
| spl3_2 ),
inference(resolution,[],[f77,f181]) ).
fof(f181,plain,
! [X0,X1] :
( distinct_lines(X1,line_connecting(sK1,sK0))
| distinct_points(X0,sK1)
| ~ apart_point_and_line(X0,X1) ),
inference(resolution,[],[f103,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X1,X0] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
=> ( distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( 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(f103,plain,
! [X2] :
( ~ apart_point_and_line(X2,line_connecting(sK1,sK0))
| distinct_points(X2,sK1) ),
inference(resolution,[],[f91,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X0)
| distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X2,line_connecting(X1,X0))
| ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X2)
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( ( distinct_points(X1,X0)
& distinct_points(X1,X2) )
| ~ apart_point_and_line(X1,line_connecting(X0,X2))
| ~ distinct_points(X0,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0,X2] :
( distinct_points(X0,X2)
=> ( apart_point_and_line(X1,line_connecting(X0,X2))
=> ( distinct_points(X1,X0)
& distinct_points(X1,X2) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con1) ).
fof(f91,plain,
distinct_points(sK1,sK0),
inference(resolution,[],[f80,f65]) ).
fof(f80,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK2,sK0))
| distinct_points(X0,sK0) ),
inference(resolution,[],[f64,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X0)
| distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X1,X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f64,plain,
distinct_points(sK2,sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f77,plain,
( ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK0))
| spl3_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f523,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f521,f59]) ).
fof(f521,plain,
( distinct_points(sK1,sK1)
| spl3_1 ),
inference(resolution,[],[f517,f65]) ).
fof(f517,plain,
( ! [X22] :
( ~ apart_point_and_line(X22,line_connecting(sK2,sK0))
| distinct_points(X22,sK1) )
| spl3_1 ),
inference(resolution,[],[f189,f73]) ).
fof(f73,plain,
( ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl3_1
<=> distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f189,plain,
! [X0,X1] :
( distinct_lines(X1,line_connecting(sK1,sK2))
| ~ apart_point_and_line(X0,X1)
| distinct_points(X0,sK1) ),
inference(resolution,[],[f107,f62]) ).
fof(f107,plain,
! [X2] :
( ~ apart_point_and_line(X2,line_connecting(sK1,sK2))
| distinct_points(X2,sK1) ),
inference(resolution,[],[f99,f68]) ).
fof(f99,plain,
distinct_points(sK1,sK2),
inference(resolution,[],[f82,f65]) ).
fof(f82,plain,
! [X2] :
( ~ apart_point_and_line(X2,line_connecting(sK2,sK0))
| distinct_points(X2,sK2) ),
inference(resolution,[],[f64,f68]) ).
fof(f78,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f66,f75,f71]) ).
fof(f66,plain,
( ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK0))
| ~ distinct_lines(line_connecting(sK2,sK0),line_connecting(sK1,sK2)) ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 21:26:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (28615)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (28615)First to succeed.
% 0.20/0.52 % (28615)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (28615)------------------------------
% 0.20/0.52 % (28615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28615)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28615)Memory used [KB]: 6140
% 0.20/0.52 % (28615)Time elapsed: 0.064 s
% 0.20/0.52 % (28615)Instructions burned: 56 (million)
% 0.20/0.52 % (28615)------------------------------
% 0.20/0.52 % (28615)------------------------------
% 0.20/0.52 % (28568)Success in time 0.157 s
%------------------------------------------------------------------------------