TSTP Solution File: GEO192+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO192+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 : n015.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 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 13 unt; 0 def)
% Number of atoms : 143 ( 1 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 140 ( 59 ~; 49 |; 15 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 79 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f292,plain,
$false,
inference(avatar_sat_refutation,[],[f186,f287,f291]) ).
fof(f291,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| spl4_2 ),
inference(subsumption_resolution,[],[f289,f261]) ).
fof(f261,plain,
distinct_lines(sK2,sK1),
inference(resolution,[],[f259,f177]) ).
fof(f177,plain,
apart_point_and_line(sF3,sK2),
inference(definition_folding,[],[f138,f176]) ).
fof(f176,plain,
sF3 = intersection_point(sK0,sK1),
introduced(function_definition,[]) ).
fof(f138,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
& ( ~ distinct_lines(sK0,sK2)
| ~ distinct_lines(sK1,sK2) )
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f106,f107]) ).
fof(f107,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X0,X1),X2)
& ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
& ( ~ distinct_lines(sK0,sK2)
| ~ distinct_lines(sK1,sK2) )
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X0,X1),X2)
& ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& convergent_lines(X0,X1) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
? [X0,X2,X1] :
( apart_point_and_line(intersection_point(X0,X2),X1)
& ( ~ distinct_lines(X0,X1)
| ~ distinct_lines(X2,X1) )
& convergent_lines(X0,X2) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X1,X2,X0] :
( ( ~ distinct_lines(X0,X1)
| ~ distinct_lines(X2,X1) )
& apart_point_and_line(intersection_point(X0,X2),X1)
& convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
~ ! [X1,X2,X0] :
( convergent_lines(X0,X2)
=> ( apart_point_and_line(intersection_point(X0,X2),X1)
=> ( distinct_lines(X2,X1)
& distinct_lines(X0,X1) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X2,X1] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f259,plain,
! [X30] :
( ~ apart_point_and_line(sF3,X30)
| distinct_lines(X30,sK1) ),
inference(resolution,[],[f154,f194]) ).
fof(f194,plain,
~ apart_point_and_line(sF3,sK1),
inference(subsumption_resolution,[],[f193,f136]) ).
fof(f136,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f108]) ).
fof(f193,plain,
( ~ apart_point_and_line(sF3,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(superposition,[],[f139,f176]) ).
fof(f139,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X0)
| ~ convergent_lines(X1,X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',ci4) ).
fof(f154,plain,
! [X2,X0,X1] :
( apart_point_and_line(X1,X0)
| ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
| distinct_lines(X2,X0)
| apart_point_and_line(X1,X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X2,X1,X0] :
( ~ apart_point_and_line(X1,X0)
| distinct_lines(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2)
| ~ apart_point_and_line(X1,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X2,X0] :
( apart_point_and_line(X1,X0)
=> ( apart_point_and_line(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f289,plain,
( ~ distinct_lines(sK2,sK1)
| spl4_2 ),
inference(resolution,[],[f185,f227]) ).
fof(f227,plain,
! [X11,X12] :
( distinct_lines(X11,X12)
| ~ distinct_lines(X12,X11) ),
inference(resolution,[],[f219,f148]) ).
fof(f148,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ~ distinct_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f219,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X0) ),
inference(resolution,[],[f147,f170]) ).
fof(f170,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f147,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X1,X0,X2] :
( distinct_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X1,X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ convergent_lines(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
=> ( convergent_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f185,plain,
( ~ distinct_lines(sK1,sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl4_2
<=> distinct_lines(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f287,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f283,f228]) ).
fof(f228,plain,
( ~ distinct_lines(sK2,sK0)
| spl4_1 ),
inference(resolution,[],[f227,f181]) ).
fof(f181,plain,
( ~ distinct_lines(sK0,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl4_1
<=> distinct_lines(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f283,plain,
distinct_lines(sK2,sK0),
inference(resolution,[],[f260,f177]) ).
fof(f260,plain,
! [X31] :
( ~ apart_point_and_line(sF3,X31)
| distinct_lines(X31,sK0) ),
inference(resolution,[],[f154,f196]) ).
fof(f196,plain,
~ apart_point_and_line(sF3,sK0),
inference(subsumption_resolution,[],[f195,f136]) ).
fof(f195,plain,
( ~ convergent_lines(sK0,sK1)
| ~ apart_point_and_line(sF3,sK0) ),
inference(superposition,[],[f163,f176]) ).
fof(f163,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X1,X0),X1)
| ~ convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ convergent_lines(X1,X0)
| ~ apart_point_and_line(intersection_point(X1,X0),X1) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X1,X0] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci3) ).
fof(f186,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f137,f183,f179]) ).
fof(f137,plain,
( ~ distinct_lines(sK1,sK2)
| ~ distinct_lines(sK0,sK2) ),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n015.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 21:38:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 % (8279)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.46 % (8279)First to succeed.
% 0.20/0.47 % (8298)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.47 % (8305)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.47 % (8279)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (8279)------------------------------
% 0.20/0.47 % (8279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (8279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (8279)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (8279)Memory used [KB]: 6012
% 0.20/0.47 % (8279)Time elapsed: 0.086 s
% 0.20/0.47 % (8279)Instructions burned: 8 (million)
% 0.20/0.47 % (8279)------------------------------
% 0.20/0.47 % (8279)------------------------------
% 0.20/0.47 % (8275)Success in time 0.129 s
%------------------------------------------------------------------------------