TSTP Solution File: GEO191+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO191+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 : n026.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 16:09:05 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 160 ( 52 ~; 60 |; 35 &)
% ( 2 <=>; 11 =>; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 81 ( 65 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f130,f140]) ).
fof(f140,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f133,f121]) ).
fof(f121,plain,
~ distinct_points(intersection_point(sK0,sK2),intersection_point(sK3,sK1)),
inference(unit_resulting_resolution,[],[f59,f57,f79,f75,f78,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X3,X0)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X1)
| ~ distinct_points(X2,X3)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X3,X0)
| ~ distinct_lines(X0,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X3,X1,X2] :
( apart_point_and_line(X1,X3)
| ~ distinct_points(X1,X2)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| ~ distinct_lines(X0,X3) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X3,X2,X1,X0] :
( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3)
| ~ distinct_lines(X0,X3)
| ~ distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X3,X2,X1,X0] :
( ( distinct_lines(X0,X3)
& distinct_points(X1,X2) )
=> ( apart_point_and_line(X2,X3)
| apart_point_and_line(X1,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X0,X1,X4] :
( ( distinct_points(X0,X1)
& distinct_lines(X3,X4) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X4)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cu1) ).
fof(f78,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK0),
inference(unit_resulting_resolution,[],[f50,f55,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ apart_point_and_line(X0,X2)
| ~ convergent_lines(X2,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( distinct_points(X0,intersection_point(X2,X1))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X2,X1) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2) )
| ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( 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,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
=> ( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) )
=> 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,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f55,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ~ apart_point_and_line(intersection_point(sK3,sK1),sK2)
& ( apart_point_and_line(intersection_point(sK0,sK2),sK3)
| apart_point_and_line(intersection_point(sK0,sK2),sK1) )
& ~ apart_point_and_line(intersection_point(sK3,sK1),sK0)
& convergent_lines(sK3,sK1)
& convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X3,X1),X2)
& ( apart_point_and_line(intersection_point(X0,X2),X3)
| apart_point_and_line(intersection_point(X0,X2),X1) )
& ~ apart_point_and_line(intersection_point(X3,X1),X0)
& convergent_lines(X3,X1)
& convergent_lines(X0,X2) )
=> ( ~ apart_point_and_line(intersection_point(sK3,sK1),sK2)
& ( apart_point_and_line(intersection_point(sK0,sK2),sK3)
| apart_point_and_line(intersection_point(sK0,sK2),sK1) )
& ~ apart_point_and_line(intersection_point(sK3,sK1),sK0)
& convergent_lines(sK3,sK1)
& convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X3,X1),X2)
& ( apart_point_and_line(intersection_point(X0,X2),X3)
| apart_point_and_line(intersection_point(X0,X2),X1) )
& ~ apart_point_and_line(intersection_point(X3,X1),X0)
& convergent_lines(X3,X1)
& convergent_lines(X0,X2) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X0,X3,X2,X1] :
( ~ apart_point_and_line(intersection_point(X1,X3),X2)
& ( apart_point_and_line(intersection_point(X0,X2),X1)
| apart_point_and_line(intersection_point(X0,X2),X3) )
& ~ apart_point_and_line(intersection_point(X1,X3),X0)
& convergent_lines(X1,X3)
& convergent_lines(X0,X2) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X3,X1,X2,X0] :
( ~ apart_point_and_line(intersection_point(X1,X3),X0)
& ~ apart_point_and_line(intersection_point(X1,X3),X2)
& convergent_lines(X0,X2)
& convergent_lines(X1,X3)
& ( apart_point_and_line(intersection_point(X0,X2),X1)
| apart_point_and_line(intersection_point(X0,X2),X3) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X3,X1,X2,X0] :
( ( convergent_lines(X0,X2)
& convergent_lines(X1,X3)
& ( apart_point_and_line(intersection_point(X0,X2),X1)
| apart_point_and_line(intersection_point(X0,X2),X3) ) )
=> ( apart_point_and_line(intersection_point(X1,X3),X0)
| apart_point_and_line(intersection_point(X1,X3),X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X3,X1,X4] :
( ( convergent_lines(X3,X4)
& convergent_lines(X0,X1)
& ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) ) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X3,X1,X4] :
( ( convergent_lines(X3,X4)
& convergent_lines(X0,X1)
& ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) ) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f50,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(f75,plain,
~ apart_point_and_line(intersection_point(sK0,sK2),sK2),
inference(unit_resulting_resolution,[],[f50,f55,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X2,X1))
| ~ convergent_lines(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f79,plain,
distinct_lines(sK0,sK2),
inference(unit_resulting_resolution,[],[f55,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f57,plain,
~ apart_point_and_line(intersection_point(sK3,sK1),sK0),
inference(cnf_transformation,[],[f44]) ).
fof(f59,plain,
~ apart_point_and_line(intersection_point(sK3,sK1),sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f133,plain,
( distinct_points(intersection_point(sK0,sK2),intersection_point(sK3,sK1))
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f56,f69,f61]) ).
fof(f69,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f56,plain,
convergent_lines(sK3,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f130,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f129,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f121,f110]) ).
fof(f110,plain,
( distinct_points(intersection_point(sK0,sK2),intersection_point(sK3,sK1))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f56,f73,f62]) ).
fof(f73,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK0,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f74,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f58,f71,f67]) ).
fof(f58,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK3)
| apart_point_and_line(intersection_point(sK0,sK2),sK1) ),
inference(cnf_transformation,[],[f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO191+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 : n026.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 21:40:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (16647)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (16650)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (16654)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)
% 0.20/0.51 % (16650)First to succeed.
% 0.20/0.51 % (16650)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (16650)------------------------------
% 0.20/0.51 % (16650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16650)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (16650)Memory used [KB]: 6012
% 0.20/0.51 % (16650)Time elapsed: 0.108 s
% 0.20/0.51 % (16650)Instructions burned: 4 (million)
% 0.20/0.51 % (16650)------------------------------
% 0.20/0.51 % (16650)------------------------------
% 0.20/0.51 % (16637)Success in time 0.154 s
%------------------------------------------------------------------------------