TSTP Solution File: GEO186+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 : Fri Sep 1 14:43:19 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 12 unt; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 194 ( 76 ~; 73 |; 31 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 93 (; 81 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233,plain,
$false,
inference(avatar_sat_refutation,[],[f124,f143,f199,f204,f232]) ).
fof(f232,plain,
spl4_4,
inference(avatar_contradiction_clause,[],[f231]) ).
fof(f231,plain,
( $false
| spl4_4 ),
inference(resolution,[],[f225,f48]) ).
fof(f48,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',apart1) ).
fof(f225,plain,
( distinct_points(sK0,sK0)
| spl4_4 ),
inference(resolution,[],[f208,f45]) ).
fof(f45,plain,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( distinct_points(sK0,intersection_point(sK2,sK3))
& ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f20,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2,X3] :
( distinct_points(X0,intersection_point(X2,X3))
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( distinct_points(sK0,intersection_point(sK2,sK3))
& ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,intersection_point(X2,X3))
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2,X3] :
( distinct_points(X0,intersection_point(X2,X3))
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ~ distinct_points(X0,intersection_point(X2,X3)) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X0,X4)
& ~ apart_point_and_line(X0,X3)
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ~ distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',con) ).
fof(f208,plain,
( ! [X0] :
( ~ distinct_points(X0,intersection_point(sK2,sK3))
| distinct_points(X0,sK0) )
| spl4_4 ),
inference(resolution,[],[f198,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',apart4) ).
fof(f198,plain,
( ~ distinct_points(intersection_point(sK2,sK3),sK0)
| spl4_4 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl4_4
<=> distinct_points(intersection_point(sK2,sK3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f204,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f194,f42]) ).
fof(f42,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f194,plain,
( ~ convergent_lines(sK2,sK3)
| spl4_3 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl4_3
<=> convergent_lines(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f199,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f190,f122,f196,f192]) ).
fof(f122,plain,
( spl4_2
<=> ! [X1] :
( apart_point_and_line(X1,sK2)
| ~ distinct_points(X1,sK0)
| apart_point_and_line(X1,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f190,plain,
( ~ distinct_points(intersection_point(sK2,sK3),sK0)
| ~ convergent_lines(sK2,sK3)
| ~ spl4_2 ),
inference(duplicate_literal_removal,[],[f185]) ).
fof(f185,plain,
( ~ distinct_points(intersection_point(sK2,sK3),sK0)
| ~ convergent_lines(sK2,sK3)
| ~ convergent_lines(sK2,sK3)
| ~ spl4_2 ),
inference(resolution,[],[f157,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
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/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',ci3) ).
fof(f157,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(X0,sK3),sK2)
| ~ distinct_points(intersection_point(X0,sK3),sK0)
| ~ convergent_lines(X0,sK3) )
| ~ spl4_2 ),
inference(resolution,[],[f123,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',ci4) ).
fof(f123,plain,
( ! [X1] :
( apart_point_and_line(X1,sK3)
| ~ distinct_points(X1,sK0)
| apart_point_and_line(X1,sK2) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f143,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f126,f42]) ).
fof(f126,plain,
( ~ convergent_lines(sK2,sK3)
| spl4_1 ),
inference(resolution,[],[f120,f61]) ).
fof(f61,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f54,f47]) ).
fof(f47,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',apart3) ).
fof(f54,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',ceq3) ).
fof(f120,plain,
( ~ distinct_lines(sK3,sK2)
| spl4_1 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl4_1
<=> distinct_lines(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f124,plain,
( ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f104,f122,f118]) ).
fof(f104,plain,
! [X1] :
( apart_point_and_line(X1,sK2)
| apart_point_and_line(X1,sK3)
| ~ distinct_lines(sK3,sK2)
| ~ distinct_points(X1,sK0) ),
inference(resolution,[],[f79,f44]) ).
fof(f44,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
! [X0,X1] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK2)
| ~ distinct_points(X1,sK0) ),
inference(resolution,[],[f59,f43]) ).
fof(f43,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f40]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.32Ll9gJnwQ/Vampire---4.8_17550',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GEO186+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Aug 30 18:02:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (17801)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (17823)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42 % (17824)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (17825)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.22/0.42 % (17826)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42 % (17828)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.42 % (17827)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.42 % (17829)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42 TRYING [1,1]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [1,1]
% 0.22/0.42 TRYING [1,2]
% 0.22/0.42 TRYING [2,2]
% 0.22/0.42 TRYING [1,2]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [2,2]
% 0.22/0.42 TRYING [2,3]
% 0.22/0.42 TRYING [2,3]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [2,4]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [2,4]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [2,5]
% 0.22/0.42 TRYING [2,5]
% 0.22/0.43 TRYING [4]
% 0.22/0.43 % (17825)First to succeed.
% 0.22/0.43 TRYING [2,6]
% 0.22/0.43 TRYING [5]
% 0.22/0.43 TRYING [2,6]
% 0.22/0.43 TRYING [2,7]
% 0.22/0.43 % (17825)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (17825)------------------------------
% 0.22/0.43 % (17825)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (17825)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (17825)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (17825)Memory used [KB]: 5500
% 0.22/0.43 % (17825)Time elapsed: 0.007 s
% 0.22/0.43 % (17825)------------------------------
% 0.22/0.43 % (17825)------------------------------
% 0.22/0.43 % (17801)Success in time 0.065 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------