TSTP Solution File: GEO262+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO262+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/sandbox2/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 : Sun May 5 05:10:52 EDT 2024
% Result : Theorem 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 5 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 119 ( 33 ~; 23 |; 52 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 86 ( 68 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f201,plain,
$false,
inference(resolution,[],[f198,f125]) ).
fof(f125,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ~ between_on_line(sK1,intersection_point(sK1,parallel_through_point(sK2,sK3)),sK4,intersection_point(sK1,parallel_through_point(sK2,sK5)))
& incident_point_and_line(sK4,sK2)
& convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& incident_point_and_line(sK4,sK1)
& convergent_lines(sK0,sK1)
& between_on_line(sK0,sK3,sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f76,f114]) ).
fof(f114,plain,
( ? [X0,X1,X2,X3,X4,X5] :
( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5)))
& incident_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& incident_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) )
=> ( ~ between_on_line(sK1,intersection_point(sK1,parallel_through_point(sK2,sK3)),sK4,intersection_point(sK1,parallel_through_point(sK2,sK5)))
& incident_point_and_line(sK4,sK2)
& convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& incident_point_and_line(sK4,sK1)
& convergent_lines(sK0,sK1)
& between_on_line(sK0,sK3,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5)))
& incident_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& incident_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5)))
& incident_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& incident_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( incident_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& incident_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) )
=> between_on_line(X1,intersection_point(X1,parallel_through_point(X2,X3)),X4,intersection_point(X1,parallel_through_point(X2,X5))) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X4,X7,X2,X5,X6] :
( ( incident_point_and_line(X5,X7)
& convergent_lines(X4,X7)
& convergent_lines(X3,X7)
& incident_point_and_line(X5,X4)
& convergent_lines(X3,X4)
& between_on_line(X3,X2,X5,X6) )
=> between_on_line(X4,intersection_point(X4,parallel_through_point(X7,X2)),X5,intersection_point(X4,parallel_through_point(X7,X6))) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X4,X7,X2,X5,X6] :
( ( incident_point_and_line(X5,X7)
& convergent_lines(X4,X7)
& convergent_lines(X3,X7)
& incident_point_and_line(X5,X4)
& convergent_lines(X3,X4)
& between_on_line(X3,X2,X5,X6) )
=> between_on_line(X4,intersection_point(X4,parallel_through_point(X7,X2)),X5,intersection_point(X4,parallel_through_point(X7,X6))) ),
file('/export/starexec/sandbox2/tmp/tmp.UpFs4A2acS/Vampire---4.8_18222',con) ).
fof(f198,plain,
! [X0,X1] : ~ convergent_lines(X0,X1),
inference(subsumption_resolution,[],[f197,f134]) ).
fof(f134,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( unequally_directed_opposite_lines(X0,X1)
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ( unequally_directed_opposite_lines(X0,X1)
& unequally_directed_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_opposite_lines(X0,X1)
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X4] :
( convergent_lines(X3,X4)
<=> ( unequally_directed_opposite_lines(X3,X4)
& unequally_directed_lines(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UpFs4A2acS/Vampire---4.8_18222',a7_defns) ).
fof(f197,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f194,f135]) ).
fof(f135,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f194,plain,
! [X0,X1] :
( ~ unequally_directed_opposite_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f181,f163]) ).
fof(f163,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_opposite_lines(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
=> unequally_directed_lines(X0,reverse_line(X1)) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( unequally_directed_opposite_lines(X0,X1)
<=> unequally_directed_lines(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.UpFs4A2acS/Vampire---4.8_18222',a1_defns) ).
fof(f181,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f180,f174]) ).
fof(f174,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X3,X4] :
~ ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.UpFs4A2acS/Vampire---4.8_18222',ax11_basics) ).
fof(f180,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f176,f175]) ).
fof(f175,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f109]) ).
fof(f176,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
=> ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X3,X4] :
( ( unequally_directed_lines(X3,reverse_line(X4))
& unequally_directed_lines(X3,X4) )
=> ( left_convergent_lines(X3,reverse_line(X4))
| left_convergent_lines(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UpFs4A2acS/Vampire---4.8_18222',ax9_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO262+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.14/0.35 % 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 : Fri May 3 22:00:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.UpFs4A2acS/Vampire---4.8_18222
% 0.57/0.77 % (18388)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)
% 0.57/0.77 % (18393)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)
% 0.57/0.77 % (18391)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)
% 0.57/0.77 % (18389)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)
% 0.57/0.77 % (18390)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.77 % (18392)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)
% 0.57/0.77 % (18395)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)
% 0.57/0.77 % (18394)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)
% 0.57/0.77 % (18388)Refutation not found, incomplete strategy% (18388)------------------------------
% 0.57/0.77 % (18388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (18388)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (18388)Memory used [KB]: 1060
% 0.57/0.77 % (18388)Time elapsed: 0.003 s
% 0.57/0.77 % (18388)Instructions burned: 4 (million)
% 0.57/0.77 % (18388)------------------------------
% 0.57/0.77 % (18388)------------------------------
% 0.57/0.77 % (18393)Refutation not found, incomplete strategy% (18393)------------------------------
% 0.57/0.77 % (18393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (18393)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (18393)Memory used [KB]: 1065
% 0.57/0.77 % (18393)Time elapsed: 0.003 s
% 0.57/0.77 % (18393)Instructions burned: 4 (million)
% 0.57/0.77 % (18393)------------------------------
% 0.57/0.77 % (18393)------------------------------
% 0.57/0.77 % (18395)Refutation not found, incomplete strategy% (18395)------------------------------
% 0.57/0.77 % (18395)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (18395)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77
% 0.57/0.77 % (18395)Memory used [KB]: 1068
% 0.57/0.77 % (18395)Time elapsed: 0.003 s
% 0.57/0.77 % (18395)Instructions burned: 4 (million)
% 0.57/0.77 % (18390)First to succeed.
% 0.57/0.77 % (18395)------------------------------
% 0.57/0.77 % (18395)------------------------------
% 0.57/0.77 % (18394)Also succeeded, but the first one will report.
% 0.57/0.77 % (18390)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18387"
% 0.57/0.77 % (18390)Refutation found. Thanks to Tanya!
% 0.57/0.77 % SZS status Theorem for Vampire---4
% 0.57/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77 % (18390)------------------------------
% 0.57/0.77 % (18390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (18390)Termination reason: Refutation
% 0.57/0.77
% 0.57/0.77 % (18390)Memory used [KB]: 1088
% 0.57/0.77 % (18390)Time elapsed: 0.005 s
% 0.57/0.77 % (18390)Instructions burned: 6 (million)
% 0.57/0.77 % (18387)Success in time 0.407 s
% 0.57/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------