TSTP Solution File: GEO191+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 May 1 02:22:50 EDT 2024
% Result : Theorem 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 16 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 138 ( 48 ~; 62 |; 16 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 90 ( 82 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f393,plain,
$false,
inference(avatar_sat_refutation,[],[f143,f381,f392]) ).
fof(f392,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f382,f260]) ).
fof(f260,plain,
~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3)),
inference(unit_resulting_resolution,[],[f96,f95,f170,f144,f145,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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,[],[f75]) ).
fof(f75,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,[],[f44]) ).
fof(f44,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.BPxSmRQqgk/Vampire---4.8_23456',cu1) ).
fof(f145,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f93,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,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.BPxSmRQqgk/Vampire---4.8_23456',ci3) ).
fof(f93,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',con) ).
fof(f144,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f93,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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.BPxSmRQqgk/Vampire---4.8_23456',ci4) ).
fof(f170,plain,
distinct_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f101,f147,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,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.BPxSmRQqgk/Vampire---4.8_23456',ceq3) ).
fof(f147,plain,
convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f101,f93,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',ax6) ).
fof(f101,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',apart3) ).
fof(f95,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK0),
inference(cnf_transformation,[],[f53]) ).
fof(f96,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK1),
inference(cnf_transformation,[],[f53]) ).
fof(f382,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
| ~ spl5_1 ),
inference(unit_resulting_resolution,[],[f155,f138,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456',ceq1) ).
fof(f138,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl5_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f155,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK3),
inference(unit_resulting_resolution,[],[f94,f98]) ).
fof(f94,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f53]) ).
fof(f381,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f372,f260]) ).
fof(f372,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK2,sK3))
| ~ spl5_2 ),
inference(unit_resulting_resolution,[],[f142,f156,f119]) ).
fof(f156,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK2),
inference(unit_resulting_resolution,[],[f94,f99]) ).
fof(f142,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl5_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f143,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f92,f140,f136]) ).
fof(f92,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 19:17:30 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456
% 0.57/0.74 % (23694)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.74 % (23688)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.74 % (23690)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (23691)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74 % (23689)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.74 % (23693)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74 % (23695)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74 % (23693)Refutation not found, incomplete strategy% (23693)------------------------------
% 0.57/0.74 % (23693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (23693)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (23693)Memory used [KB]: 1095
% 0.57/0.74 % (23693)Time elapsed: 0.003 s
% 0.57/0.74 % (23693)Instructions burned: 2 (million)
% 0.57/0.74 % (23693)------------------------------
% 0.57/0.74 % (23693)------------------------------
% 0.57/0.74 % (23695)Refutation not found, incomplete strategy% (23695)------------------------------
% 0.57/0.74 % (23695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (23695)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (23695)Memory used [KB]: 1095
% 0.57/0.74 % (23695)Time elapsed: 0.002 s
% 0.57/0.74 % (23695)Instructions burned: 2 (million)
% 0.57/0.74 % (23695)------------------------------
% 0.57/0.74 % (23695)------------------------------
% 0.57/0.74 % (23691)Refutation not found, incomplete strategy% (23691)------------------------------
% 0.57/0.74 % (23691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (23691)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (23691)Memory used [KB]: 1100
% 0.57/0.74 % (23691)Time elapsed: 0.003 s
% 0.57/0.74 % (23691)Instructions burned: 3 (million)
% 0.57/0.74 % (23691)------------------------------
% 0.57/0.74 % (23691)------------------------------
% 0.57/0.74 % (23694)First to succeed.
% 0.57/0.74 % (23690)Also succeeded, but the first one will report.
% 0.57/0.74 % (23694)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Theorem for Vampire---4
% 0.57/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (23694)------------------------------
% 0.57/0.74 % (23694)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (23694)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (23694)Memory used [KB]: 1217
% 0.57/0.74 % (23694)Time elapsed: 0.007 s
% 0.57/0.74 % (23694)Instructions burned: 17 (million)
% 0.57/0.74 % (23694)------------------------------
% 0.57/0.74 % (23694)------------------------------
% 0.57/0.74 % (23684)Success in time 0.376 s
% 0.57/0.74 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.57/0.74 23684 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.BPxSmRQqgk/Vampire---4.8_23456
% 0.57/0.74 % (23684)------------------------------
% 0.57/0.74 % (23684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (23684)Termination reason: Unknown
% 0.57/0.74 % (23684)Termination phase: Unknown
% 0.57/0.74
% 0.57/0.74 % (23684)Memory used [KB]: 521
% 0.57/0.74 % (23684)Time elapsed: 0.376 s
% 0.57/0.74 % (23684)Instructions burned: 955 (million)
% 0.57/0.74 % (23684)------------------------------
% 0.57/0.74 % (23684)------------------------------
% 0.57/0.74 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 ???
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------