TSTP Solution File: GEO176+3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n012.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 16:12:06 EDT 2022
% Result : Theorem 1.94s 0.60s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 5 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 113 ( 40 ~; 38 |; 24 &)
% ( 2 <=>; 9 =>; 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 : 64 ( 48 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f353,plain,
$false,
inference(avatar_sat_refutation,[],[f186,f333,f352]) ).
fof(f352,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f349,f169]) ).
fof(f169,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ( apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK0,sK1) )
& distinct_points(sK0,sK3)
& ~ distinct_points(sK0,intersection_point(sK1,sK2))
& convergent_lines(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f124,f125]) ).
fof(f125,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) )
& distinct_points(X0,X3)
& ~ distinct_points(X0,intersection_point(X1,X2))
& convergent_lines(X1,X2) )
=> ( ( apart_point_and_line(sK0,sK2)
| apart_point_and_line(sK0,sK1) )
& distinct_points(sK0,sK3)
& ~ distinct_points(sK0,intersection_point(sK1,sK2))
& convergent_lines(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) )
& distinct_points(X0,X3)
& ~ distinct_points(X0,intersection_point(X1,X2))
& convergent_lines(X1,X2) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
? [X1,X0,X2,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) )
& distinct_points(X1,X3)
& ~ distinct_points(X1,intersection_point(X0,X2))
& convergent_lines(X0,X2) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X2,X0,X3,X1] :
( ~ distinct_points(X1,intersection_point(X0,X2))
& convergent_lines(X0,X2)
& distinct_points(X1,X3)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X2,X0,X3,X1] :
( ( convergent_lines(X0,X2)
& distinct_points(X1,X3)
& ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X0) ) )
=> distinct_points(X1,intersection_point(X0,X2)) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X3,X0,X4,X1] :
( ( distinct_points(X0,X1)
& ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X3,X0,X4,X1] :
( ( distinct_points(X0,X1)
& ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f349,plain,
( ~ convergent_lines(sK1,sK2)
| ~ spl5_2 ),
inference(resolution,[],[f343,f167]) ).
fof(f167,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci3) ).
fof(f343,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK1)
| ~ spl5_2 ),
inference(resolution,[],[f335,f170]) ).
fof(f170,plain,
~ distinct_points(sK0,intersection_point(sK1,sK2)),
inference(cnf_transformation,[],[f126]) ).
fof(f335,plain,
( ! [X0] :
( distinct_points(sK0,X0)
| apart_point_and_line(X0,sK1) )
| ~ spl5_2 ),
inference(resolution,[],[f185,f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( distinct_points(X1,X0)
| ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X0,X2] :
( distinct_points(X0,X1)
| ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X2,X0] :
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| ~ apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X2,X0] :
( apart_point_and_line(X0,X2)
=> ( distinct_points(X0,X1)
| apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X2,X1] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f185,plain,
( apart_point_and_line(sK0,sK1)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl5_2
<=> apart_point_and_line(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f333,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f330,f169]) ).
fof(f330,plain,
( ~ convergent_lines(sK1,sK2)
| ~ spl5_1 ),
inference(resolution,[],[f324,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ci4) ).
fof(f324,plain,
( apart_point_and_line(intersection_point(sK1,sK2),sK2)
| ~ spl5_1 ),
inference(resolution,[],[f308,f170]) ).
fof(f308,plain,
( ! [X0] :
( distinct_points(sK0,X0)
| apart_point_and_line(X0,sK2) )
| ~ spl5_1 ),
inference(resolution,[],[f146,f181]) ).
fof(f181,plain,
( apart_point_and_line(sK0,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl5_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f186,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f172,f183,f179]) ).
fof(f172,plain,
( apart_point_and_line(sK0,sK1)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO176+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:23:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.57 % (11455)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.64/0.58 % (11473)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.64/0.58 % (11465)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.64/0.59 % (11467)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.64/0.59 % (11459)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.64/0.59 % (11455)First to succeed.
% 1.64/0.59 % (11457)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.64/0.59 TRYING [1]
% 1.64/0.60 TRYING [2]
% 1.94/0.60 % (11457)Also succeeded, but the first one will report.
% 1.94/0.60 TRYING [3]
% 1.94/0.60 % (11455)Refutation found. Thanks to Tanya!
% 1.94/0.60 % SZS status Theorem for theBenchmark
% 1.94/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.60 % (11455)------------------------------
% 1.94/0.60 % (11455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.60 % (11455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.60 % (11455)Termination reason: Refutation
% 1.94/0.60
% 1.94/0.60 % (11455)Memory used [KB]: 5500
% 1.94/0.60 % (11455)Time elapsed: 0.147 s
% 1.94/0.60 % (11455)Instructions burned: 9 (million)
% 1.94/0.60 % (11455)------------------------------
% 1.94/0.60 % (11455)------------------------------
% 1.94/0.60 % (11449)Success in time 0.253 s
%------------------------------------------------------------------------------