TSTP Solution File: GEO202+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n023.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 02:22:54 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 14 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 36 ~; 41 |; 12 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 76 ( 70 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f373,plain,
$false,
inference(subsumption_resolution,[],[f368,f76]) ).
fof(f76,plain,
~ apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f40,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,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/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',ci4) ).
fof(f40,plain,
convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',con) ).
fof(f368,plain,
apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f63,f139,f58,f41,f75,f45]) ).
fof(f45,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,[],[f25]) ).
fof(f25,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,[],[f24]) ).
fof(f24,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,[],[f17]) ).
fof(f17,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/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',cu1) ).
fof(f75,plain,
~ apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f40,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',ci3) ).
fof(f41,plain,
distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f58,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f38,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',ci1) ).
fof(f38,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f139,plain,
distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f52,f72,f50]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,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/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',ceq3) ).
fof(f72,plain,
convergent_lines(line_connecting(sK0,sK2),line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f52,f40,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f32,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/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',ax6) ).
fof(f52,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403',apart3) ).
fof(f63,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK2)),
inference(unit_resulting_resolution,[],[f39,f43]) ).
fof(f39,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 19:09:55 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 This is a FOF_THM_RFO_NEQ problem
% 0.10/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.M99Nm471Yi/Vampire---4.8_5403
% 0.60/0.80 % (5521)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (5520)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (5518)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (5522)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 (2995ds/83Mi)
% 0.60/0.80 % (5519)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (5523)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 (2995ds/56Mi)
% 0.60/0.80 % (5517)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 (2995ds/51Mi)
% 0.60/0.80 % (5523)Refutation not found, incomplete strategy% (5523)------------------------------
% 0.60/0.80 % (5523)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (5523)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (5523)Memory used [KB]: 973
% 0.60/0.80 % (5523)Time elapsed: 0.002 s
% 0.60/0.80 % (5523)Instructions burned: 2 (million)
% 0.60/0.80 % (5523)------------------------------
% 0.60/0.80 % (5523)------------------------------
% 0.60/0.80 % (5516)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 (2995ds/34Mi)
% 0.60/0.80 % (5519)Refutation not found, incomplete strategy% (5519)------------------------------
% 0.60/0.80 % (5519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (5519)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (5519)Memory used [KB]: 979
% 0.60/0.80 % (5519)Time elapsed: 0.004 s
% 0.60/0.80 % (5519)Instructions burned: 3 (million)
% 0.60/0.80 % (5519)------------------------------
% 0.60/0.80 % (5519)------------------------------
% 0.60/0.80 % (5521)Refutation not found, incomplete strategy% (5521)------------------------------
% 0.60/0.80 % (5521)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (5521)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (5521)Memory used [KB]: 973
% 0.60/0.80 % (5521)Time elapsed: 0.003 s
% 0.60/0.80 % (5521)Instructions burned: 2 (million)
% 0.60/0.80 % (5521)------------------------------
% 0.60/0.80 % (5521)------------------------------
% 0.60/0.81 % (5524)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81 % (5525)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.81 % (5522)First to succeed.
% 0.60/0.81 % (5526)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.81 % (5524)Refutation not found, incomplete strategy% (5524)------------------------------
% 0.60/0.81 % (5524)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (5524)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (5524)Memory used [KB]: 979
% 0.60/0.81 % (5524)Time elapsed: 0.003 s
% 0.60/0.81 % (5524)Instructions burned: 3 (million)
% 0.60/0.81 % (5524)------------------------------
% 0.60/0.81 % (5524)------------------------------
% 0.60/0.81 % (5518)Also succeeded, but the first one will report.
% 0.60/0.81 % (5522)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (5522)------------------------------
% 0.60/0.81 % (5522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (5522)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (5522)Memory used [KB]: 1070
% 0.60/0.81 % (5522)Time elapsed: 0.009 s
% 0.60/0.81 % (5522)Instructions burned: 14 (million)
% 0.60/0.81 % (5522)------------------------------
% 0.60/0.81 % (5522)------------------------------
% 0.60/0.81 % (5511)Success in time 0.483 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------