TSTP Solution File: GEO196+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO196+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_uns --cores 0 -t %d %s
% Computer : n011.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 16:09:07 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 140 ( 48 ~; 42 |; 38 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 101 ( 85 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f253,plain,
$false,
inference(avatar_sat_refutation,[],[f208,f248,f252]) ).
fof(f252,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| spl4_2 ),
inference(subsumption_resolution,[],[f250,f242]) ).
fof(f242,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f195,f153]) ).
fof(f153,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] : ~ apart_point_and_line(X1,parallel_through_point(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f195,plain,
! [X3,X4,X5] :
( apart_point_and_line(X3,parallel_through_point(X4,X5))
| ~ apart_point_and_line(X3,X4) ),
inference(resolution,[],[f191,f161]) ).
fof(f161,plain,
! [X2,X0,X1] :
( distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0)
| apart_point_and_line(X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X0,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X2,X1,X0] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X2,X1,X0] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f191,plain,
! [X6,X7] : ~ distinct_lines(X6,parallel_through_point(X6,X7)),
inference(resolution,[],[f185,f147]) ).
fof(f147,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f185,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f183,f129]) ).
fof(f129,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f183,plain,
! [X2,X3,X4] :
( convergent_lines(X2,X3)
| ~ convergent_lines(X2,parallel_through_point(X3,X4)) ),
inference(resolution,[],[f144,f167]) ).
fof(f167,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f144,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X2,X1,X0] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X0)
| convergent_lines(X2,X0)
| ~ convergent_lines(X2,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( convergent_lines(X2,X1)
=> ( convergent_lines(X1,X0)
| convergent_lines(X2,X0) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X1,X0] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f250,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK1)
| spl4_2 ),
inference(resolution,[],[f207,f164]) ).
fof(f164,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) )
& ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X1,X0] :
( ( ~ apart_point_and_line(X1,X0)
| ~ incident_point_and_line(X1,X0) )
& ( incident_point_and_line(X1,X0)
| apart_point_and_line(X1,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ~ apart_point_and_line(X1,X0)
<=> incident_point_and_line(X1,X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X1,X0] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).
fof(f207,plain,
( ~ incident_point_and_line(intersection_point(sK0,sK2),sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl4_2
<=> incident_point_and_line(intersection_point(sK0,sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f248,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f246,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f242,f209]) ).
fof(f209,plain,
( apart_point_and_line(intersection_point(sK0,sK2),sK3)
| spl4_1 ),
inference(resolution,[],[f203,f164]) ).
fof(f203,plain,
( ~ incident_point_and_line(intersection_point(sK0,sK2),sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl4_1
<=> incident_point_and_line(intersection_point(sK0,sK2),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f208,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f158,f205,f201]) ).
fof(f158,plain,
( ~ incident_point_and_line(intersection_point(sK0,sK2),sK1)
| ~ incident_point_and_line(intersection_point(sK0,sK2),sK3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( convergent_lines(sK1,sK3)
& ( ~ incident_point_and_line(intersection_point(sK0,sK2),sK1)
| ~ incident_point_and_line(intersection_point(sK0,sK2),sK3) )
& incident_point_and_line(intersection_point(sK1,sK3),sK0)
& incident_point_and_line(intersection_point(sK1,sK3),sK2)
& convergent_lines(sK0,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f116,f117]) ).
fof(f117,plain,
( ? [X0,X1,X2,X3] :
( convergent_lines(X1,X3)
& ( ~ incident_point_and_line(intersection_point(X0,X2),X1)
| ~ incident_point_and_line(intersection_point(X0,X2),X3) )
& incident_point_and_line(intersection_point(X1,X3),X0)
& incident_point_and_line(intersection_point(X1,X3),X2)
& convergent_lines(X0,X2) )
=> ( convergent_lines(sK1,sK3)
& ( ~ incident_point_and_line(intersection_point(sK0,sK2),sK1)
| ~ incident_point_and_line(intersection_point(sK0,sK2),sK3) )
& incident_point_and_line(intersection_point(sK1,sK3),sK0)
& incident_point_and_line(intersection_point(sK1,sK3),sK2)
& convergent_lines(sK0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
? [X0,X1,X2,X3] :
( convergent_lines(X1,X3)
& ( ~ incident_point_and_line(intersection_point(X0,X2),X1)
| ~ incident_point_and_line(intersection_point(X0,X2),X3) )
& incident_point_and_line(intersection_point(X1,X3),X0)
& incident_point_and_line(intersection_point(X1,X3),X2)
& convergent_lines(X0,X2) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X3,X1,X2,X0] :
( convergent_lines(X1,X0)
& ( ~ incident_point_and_line(intersection_point(X3,X2),X1)
| ~ incident_point_and_line(intersection_point(X3,X2),X0) )
& incident_point_and_line(intersection_point(X1,X0),X3)
& incident_point_and_line(intersection_point(X1,X0),X2)
& convergent_lines(X3,X2) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X2,X3,X1,X0] :
( ( ~ incident_point_and_line(intersection_point(X3,X2),X1)
| ~ incident_point_and_line(intersection_point(X3,X2),X0) )
& incident_point_and_line(intersection_point(X1,X0),X2)
& incident_point_and_line(intersection_point(X1,X0),X3)
& convergent_lines(X3,X2)
& convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X3,X1,X0] :
( ( incident_point_and_line(intersection_point(X1,X0),X2)
& incident_point_and_line(intersection_point(X1,X0),X3)
& convergent_lines(X3,X2)
& convergent_lines(X1,X0) )
=> ( incident_point_and_line(intersection_point(X3,X2),X1)
& incident_point_and_line(intersection_point(X3,X2),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0,X4,X3] :
( ( incident_point_and_line(intersection_point(X0,X1),X4)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1)
& incident_point_and_line(intersection_point(X0,X1),X3) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0,X4,X3] :
( ( incident_point_and_line(intersection_point(X0,X1),X4)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1)
& incident_point_and_line(intersection_point(X0,X1),X3) )
=> ( incident_point_and_line(intersection_point(X3,X4),X1)
& incident_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO196+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:27:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (11974)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)
% 0.19/0.48 % (11982)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)
% 0.19/0.48 % (11982)First to succeed.
% 0.19/0.50 % (11982)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (11982)------------------------------
% 0.19/0.50 % (11982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (11982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (11982)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (11982)Memory used [KB]: 6012
% 0.19/0.50 % (11982)Time elapsed: 0.088 s
% 0.19/0.50 % (11982)Instructions burned: 6 (million)
% 0.19/0.50 % (11982)------------------------------
% 0.19/0.50 % (11982)------------------------------
% 0.19/0.50 % (11952)Success in time 0.157 s
%------------------------------------------------------------------------------