TSTP Solution File: GEO185+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --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 16:12:09 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 5 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 101 ( 37 ~; 24 |; 30 &)
% ( 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 : 49 ( 33 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f80,f82]) ).
fof(f82,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f81,plain,
( $false
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f55,f54,f77,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X2,X0))
| ~ apart_point_and_line(X1,X2)
| ~ convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( distinct_points(X1,intersection_point(X2,X0))
| ~ convergent_lines(X2,X0)
| ( ~ apart_point_and_line(X1,X0)
& ~ apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X1,X0] :
( distinct_points(X0,intersection_point(X1,X2))
| ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
| ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X2,X1,X0] :
( 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(f77,plain,
( apart_point_and_line(sK1,sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl4_2
<=> apart_point_and_line(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f54,plain,
~ distinct_points(sK1,intersection_point(sK3,sK0)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( distinct_points(sK1,sK2)
& convergent_lines(sK3,sK0)
& ~ distinct_points(sK1,intersection_point(sK3,sK0))
& ( apart_point_and_line(sK1,sK0)
| apart_point_and_line(sK1,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f44,f45]) ).
fof(f45,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X1,X2)
& convergent_lines(X3,X0)
& ~ distinct_points(X1,intersection_point(X3,X0))
& ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3) ) )
=> ( distinct_points(sK1,sK2)
& convergent_lines(sK3,sK0)
& ~ distinct_points(sK1,intersection_point(sK3,sK0))
& ( apart_point_and_line(sK1,sK0)
| apart_point_and_line(sK1,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2,X3] :
( distinct_points(X1,X2)
& convergent_lines(X3,X0)
& ~ distinct_points(X1,intersection_point(X3,X0))
& ( apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X3) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
? [X3,X1,X2,X0] :
( distinct_points(X1,X2)
& convergent_lines(X0,X3)
& ~ distinct_points(X1,intersection_point(X0,X3))
& ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X3,X0,X2,X1] :
( ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X0) )
& ~ distinct_points(X1,intersection_point(X0,X3))
& convergent_lines(X0,X3)
& distinct_points(X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X3,X0,X2,X1] :
( ( ~ distinct_points(X1,intersection_point(X0,X3))
& convergent_lines(X0,X3)
& distinct_points(X1,X2) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X1,X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X3,X0,X1,X4] :
( ( ~ distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X3,X0,X1,X4] :
( ( ~ distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f55,plain,
convergent_lines(sK3,sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f80,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f73,f55,f54,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( distinct_points(X1,intersection_point(X2,X0))
| ~ convergent_lines(X2,X0)
| ~ apart_point_and_line(X1,X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f73,plain,
( apart_point_and_line(sK1,sK0)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl4_1
<=> apart_point_and_line(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f78,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f53,f75,f71]) ).
fof(f53,plain,
( apart_point_and_line(sK1,sK3)
| apart_point_and_line(sK1,sK0) ),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO185+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_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.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 21:39:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (11933)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.51 % (11938)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (11931)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.52 % (11921)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (11932)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (11919)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (11919)First to succeed.
% 0.21/0.52 % (11929)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (11919)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (11919)------------------------------
% 0.21/0.52 % (11919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (11919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (11919)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (11919)Memory used [KB]: 5373
% 0.21/0.52 % (11919)Time elapsed: 0.107 s
% 0.21/0.52 % (11919)Instructions burned: 2 (million)
% 0.21/0.52 % (11919)------------------------------
% 0.21/0.52 % (11919)------------------------------
% 0.21/0.52 % (11917)Success in time 0.163 s
%------------------------------------------------------------------------------