TSTP Solution File: GEO205+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO205+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 : n018.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 16:09:12 EDT 2022
% Result : Theorem 1.25s 0.52s
% Output : Refutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 16 unt; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 205 ( 77 ~; 88 |; 21 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 131 ( 119 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f178,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f129,f177]) ).
fof(f177,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_contradiction_clause,[],[f176]) ).
fof(f176,plain,
( $false
| ~ spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f169,f150]) ).
fof(f150,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK0),
inference(unit_resulting_resolution,[],[f75,f79,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| distinct_lines(X2,X1)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X1,X0,X2] :
( apart_point_and_line(X0,X2)
=> ( apart_point_and_line(X0,X1)
| distinct_lines(X2,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X2,X1] :
( 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(f79,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK1),
inference(unit_resulting_resolution,[],[f63,f71,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X0)
| distinct_points(X1,intersection_point(X2,X0))
| ~ convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X1,X2)
& ~ apart_point_and_line(X1,X0) )
| ~ convergent_lines(X2,X0)
| distinct_points(X1,intersection_point(X2,X0)) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
| ~ convergent_lines(X1,X2)
| distinct_points(X0,intersection_point(X1,X2)) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0,X2] :
( distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0,X2] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2) )
=> distinct_points(X0,intersection_point(X1,X2)) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( 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(f71,plain,
convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( convergent_lines(sK2,sK1)
& ~ distinct_lines(sK1,sK0)
& ( distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
| ~ convergent_lines(sK2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2] :
( convergent_lines(X2,X1)
& ~ distinct_lines(X1,X0)
& ( distinct_points(intersection_point(X2,X1),intersection_point(X2,X0))
| ~ convergent_lines(X2,X0) ) )
=> ( convergent_lines(sK2,sK1)
& ~ distinct_lines(sK1,sK0)
& ( distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
| ~ convergent_lines(sK2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2] :
( convergent_lines(X2,X1)
& ~ distinct_lines(X1,X0)
& ( distinct_points(intersection_point(X2,X1),intersection_point(X2,X0))
| ~ convergent_lines(X2,X0) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
? [X2,X1,X0] :
( convergent_lines(X0,X1)
& ~ distinct_lines(X1,X2)
& ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0,X1,X2] :
( ( distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) )
& convergent_lines(X0,X1)
& ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& ~ distinct_lines(X1,X2) )
=> ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& ~ distinct_lines(X1,X2) )
=> ( ~ distinct_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f63,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(f75,plain,
~ distinct_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f62,f70,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X2,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X2)
| distinct_lines(X0,X1)
| distinct_lines(X2,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X1,X0,X2] :
( distinct_lines(X2,X0)
| distinct_lines(X1,X0)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( distinct_lines(X1,X2)
=> ( distinct_lines(X2,X0)
| distinct_lines(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart5) ).
fof(f70,plain,
~ distinct_lines(sK1,sK0),
inference(cnf_transformation,[],[f54]) ).
fof(f62,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(f169,plain,
( apart_point_and_line(intersection_point(sK2,sK1),sK0)
| ~ spl3_1
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f119,f77,f97,f130,f132,f68]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X3,X1)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X3,X1)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X2,X0)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1,X3] :
( ~ distinct_points(X3,X2)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X1,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0,X3] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X1,X0)
| ~ distinct_points(X3,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X2,X0,X3] :
( ( distinct_lines(X1,X0)
& distinct_points(X3,X2) )
=> ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X3,X1,X0] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f132,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK0),sK0)
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f63,f100,f57]) ).
fof(f100,plain,
( convergent_lines(sK2,sK0)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl3_2
<=> convergent_lines(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f130,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK0),sK2)
| ~ spl3_2 ),
inference(unit_resulting_resolution,[],[f63,f100,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| ~ convergent_lines(X2,X0)
| distinct_points(X1,intersection_point(X2,X0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f97,plain,
( distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0))
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl3_1
<=> distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f77,plain,
~ apart_point_and_line(intersection_point(sK2,sK1),sK2),
inference(unit_resulting_resolution,[],[f63,f71,f58]) ).
fof(f119,plain,
distinct_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f70,f82,f66]) ).
fof(f82,plain,
distinct_lines(sK2,sK1),
inference(resolution,[],[f71,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> distinct_lines(X1,X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f129,plain,
spl3_2,
inference(avatar_split_clause,[],[f88,f99]) ).
fof(f88,plain,
convergent_lines(sK2,sK0),
inference(unit_resulting_resolution,[],[f71,f72,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X0)
| convergent_lines(X0,X1)
| convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X2,X0) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
| convergent_lines(X2,X1)
| ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( convergent_lines(X2,X1)
| convergent_lines(X0,X1)
| ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( convergent_lines(X0,X2)
=> ( convergent_lines(X2,X1)
| convergent_lines(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart6) ).
fof(f72,plain,
~ convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f70,f65]) ).
fof(f102,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f69,f99,f95]) ).
fof(f69,plain,
( ~ convergent_lines(sK2,sK0)
| distinct_points(intersection_point(sK2,sK1),intersection_point(sK2,sK0)) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO205+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.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 : Mon Aug 29 21:55:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.25/0.52 % (6250)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.25/0.52 % (6242)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.52 % (6234)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.25/0.52 % (6242)First to succeed.
% 1.25/0.52 % (6228)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)
% 1.25/0.52 % (6226)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.25/0.52 % (6242)Refutation found. Thanks to Tanya!
% 1.25/0.52 % SZS status Theorem for theBenchmark
% 1.25/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.52 % (6242)------------------------------
% 1.25/0.52 % (6242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.52 % (6242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52 % (6242)Termination reason: Refutation
% 1.25/0.52
% 1.25/0.52 % (6242)Memory used [KB]: 6012
% 1.25/0.52 % (6242)Time elapsed: 0.107 s
% 1.25/0.52 % (6242)Instructions burned: 5 (million)
% 1.25/0.52 % (6242)------------------------------
% 1.25/0.52 % (6242)------------------------------
% 1.25/0.52 % (6220)Success in time 0.17 s
%------------------------------------------------------------------------------