TSTP Solution File: GEO185+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO185+1 : 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 : n008.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 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 111 ( 44 ~; 28 |; 27 &)
% ( 2 <=>; 10 =>; 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 : 62 ( 46 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f97,f102]) ).
fof(f102,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f101,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f99,f84]) ).
fof(f84,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK1),
inference(unit_resulting_resolution,[],[f68,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( 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(f68,plain,
convergent_lines(sK1,sK0),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK3,sK0) )
& convergent_lines(sK1,sK0)
& ~ distinct_points(sK3,intersection_point(sK1,sK0))
& distinct_points(sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f52,f53]) ).
fof(f53,plain,
( ? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0) )
& convergent_lines(X1,X0)
& ~ distinct_points(X3,intersection_point(X1,X0))
& distinct_points(X3,X2) )
=> ( ( apart_point_and_line(sK3,sK1)
| apart_point_and_line(sK3,sK0) )
& convergent_lines(sK1,sK0)
& ~ distinct_points(sK3,intersection_point(sK1,sK0))
& distinct_points(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,X1)
| apart_point_and_line(X3,X0) )
& convergent_lines(X1,X0)
& ~ distinct_points(X3,intersection_point(X1,X0))
& distinct_points(X3,X2) ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
? [X3,X2,X0,X1] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) )
& convergent_lines(X2,X3)
& ~ distinct_points(X1,intersection_point(X2,X3))
& distinct_points(X1,X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0,X2,X1,X3] :
( ( apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) )
& convergent_lines(X2,X3)
& distinct_points(X1,X0)
& ~ distinct_points(X1,intersection_point(X2,X3)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X2,X1,X3] :
( ( convergent_lines(X2,X3)
& distinct_points(X1,X0)
& ~ distinct_points(X1,intersection_point(X2,X3)) )
=> ( ~ apart_point_and_line(X1,X3)
& ~ apart_point_and_line(X1,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X1,X0,X3,X4] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& ~ distinct_points(X0,intersection_point(X3,X4)) )
=> ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X4) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X1,X0,X3,X4] :
( ( distinct_points(X0,X1)
& convergent_lines(X3,X4)
& ~ distinct_points(X0,intersection_point(X3,X4)) )
=> ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f99,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK1)
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f67,f74,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X2)
| distinct_points(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
| distinct_points(X1,X0)
| apart_point_and_line(X0,X2) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X2,X1] :
( ~ apart_point_and_line(X2,X1)
| distinct_points(X2,X0)
| apart_point_and_line(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X2,X1] :
( distinct_points(X2,X0)
| apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X2,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X2,X1] :
( apart_point_and_line(X2,X1)
=> ( distinct_points(X2,X0)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f74,plain,
( apart_point_and_line(sK3,sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl4_1
<=> apart_point_and_line(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f67,plain,
~ distinct_points(sK3,intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f54]) ).
fof(f97,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f90,f87]) ).
fof(f87,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK0),
inference(unit_resulting_resolution,[],[f68,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
=> ~ apart_point_and_line(intersection_point(X1,X0),X0) ),
inference(rectify,[],[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(f90,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK0)
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f78,f67,f62]) ).
fof(f78,plain,
( apart_point_and_line(sK3,sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl4_2
<=> apart_point_and_line(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f79,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f69,f76,f72]) ).
fof(f69,plain,
( apart_point_and_line(sK3,sK0)
| apart_point_and_line(sK3,sK1) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO185+1 : 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
% 0.12/0.34 % Computer : n008.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 21:29:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.52 % (19851)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)
% 0.20/0.54 % (19851)First to succeed.
% 0.20/0.54 % (19843)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.55 % (19851)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (19851)------------------------------
% 0.20/0.55 % (19851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (19851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (19851)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (19851)Memory used [KB]: 5884
% 0.20/0.55 % (19851)Time elapsed: 0.118 s
% 0.20/0.55 % (19851)Instructions burned: 2 (million)
% 0.20/0.55 % (19851)------------------------------
% 0.20/0.55 % (19851)------------------------------
% 0.20/0.55 % (19841)Success in time 0.197 s
%------------------------------------------------------------------------------