TSTP Solution File: GEO185+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO185+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 : n021.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 16:09:01 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 100 ( 38 ~; 25 |; 27 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 33 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f95,f104]) ).
fof(f104,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f97,f57]) ).
fof(f57,plain,
~ distinct_points(sK0,intersection_point(sK3,sK2)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( convergent_lines(sK3,sK2)
& ( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_points(sK0,intersection_point(sK3,sK2))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f26,f44]) ).
fof(f44,plain,
( ? [X0,X1,X2,X3] :
( convergent_lines(X3,X2)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& ~ distinct_points(X0,intersection_point(X3,X2))
& distinct_points(X0,X1) )
=> ( convergent_lines(sK3,sK2)
& ( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) )
& ~ distinct_points(sK0,intersection_point(sK3,sK2))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2,X3] :
( convergent_lines(X3,X2)
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& ~ distinct_points(X0,intersection_point(X3,X2))
& distinct_points(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0,X3,X1,X2] :
( ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& ~ distinct_points(X0,intersection_point(X3,X2))
& convergent_lines(X3,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X3,X1,X2] :
( ( ~ distinct_points(X0,intersection_point(X3,X2))
& convergent_lines(X3,X2)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X4,X3] :
( ( ~ distinct_points(X0,intersection_point(X3,X4))
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X4,X3] :
( ( ~ distinct_points(X0,intersection_point(X3,X4))
& distinct_points(X0,X1)
& convergent_lines(X3,X4) )
=> ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f97,plain,
( distinct_points(sK0,intersection_point(sK3,sK2))
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f59,f68,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| distinct_points(X1,intersection_point(X2,X0))
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( distinct_points(X1,intersection_point(X2,X0))
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) )
| ~ convergent_lines(X2,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2,X1] :
( convergent_lines(X2,X0)
=> ( ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) )
=> distinct_points(X1,intersection_point(X2,X0)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X2,X0] :
( 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/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f68,plain,
( apart_point_and_line(sK0,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f59,plain,
convergent_lines(sK3,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f95,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f88,f57]) ).
fof(f88,plain,
( distinct_points(sK0,intersection_point(sK3,sK2))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f59,f72,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl4_2
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f73,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f58,f70,f66]) ).
fof(f58,plain,
( apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK0,sK3) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Mon Aug 29 21:22:10 EDT 2022
% 0.19/0.35 % CPUTime :
% 0.20/0.48 % (7978)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49 % (7978)First to succeed.
% 0.20/0.49 % (7978)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (7978)------------------------------
% 0.20/0.49 % (7978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (7978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (7978)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (7978)Memory used [KB]: 5884
% 0.20/0.49 % (7978)Time elapsed: 0.067 s
% 0.20/0.49 % (7978)Instructions burned: 2 (million)
% 0.20/0.49 % (7978)------------------------------
% 0.20/0.49 % (7978)------------------------------
% 0.20/0.49 % (7970)Success in time 0.136 s
%------------------------------------------------------------------------------