TSTP Solution File: GEO262+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 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 : Wed May 1 02:23:20 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 126 ( 45 ~; 20 |; 52 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 76 ( 58 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f176,plain,
$false,
inference(resolution,[],[f173,f112]) ).
fof(f112,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ~ between_on_line(sK1,intersection_point(sK1,parallel_through_point(sK2,sK3)),sK4,intersection_point(sK1,parallel_through_point(sK2,sK5)))
& ~ apart_point_and_line(sK4,sK2)
& convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& ~ apart_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])],[f63,f102]) ).
fof(f102,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)))
& ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_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)))
& ~ apart_point_and_line(sK4,sK2)
& convergent_lines(sK1,sK2)
& convergent_lines(sK0,sK2)
& ~ apart_point_and_line(sK4,sK1)
& convergent_lines(sK0,sK1)
& between_on_line(sK0,sK3,sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f63,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)))
& ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) ),
inference(flattening,[],[f62]) ).
fof(f62,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)))
& ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_point_and_line(X4,X1)
& convergent_lines(X0,X1)
& between_on_line(X0,X3,X4,X5) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ~ apart_point_and_line(X4,X2)
& convergent_lines(X1,X2)
& convergent_lines(X0,X2)
& ~ apart_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,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2,X5,X0,X3,X4] :
( ( ~ apart_point_and_line(X3,X5)
& convergent_lines(X2,X5)
& convergent_lines(X1,X5)
& ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),X3,intersection_point(X2,parallel_through_point(X5,X4))) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2,X5,X0,X3,X4] :
( ( ~ apart_point_and_line(X3,X5)
& convergent_lines(X2,X5)
& convergent_lines(X1,X5)
& ~ apart_point_and_line(X3,X2)
& convergent_lines(X1,X2)
& between_on_line(X1,X0,X3,X4) )
=> between_on_line(X2,intersection_point(X2,parallel_through_point(X5,X0)),X3,intersection_point(X2,parallel_through_point(X5,X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.qxd0riEbbV/Vampire---4.8_27853',con) ).
fof(f173,plain,
! [X0,X1] : ~ convergent_lines(X0,X1),
inference(subsumption_resolution,[],[f171,f123]) ).
fof(f123,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qxd0riEbbV/Vampire---4.8_27853',con_def) ).
fof(f171,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f166,f124]) ).
fof(f124,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f166,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f165,f159]) ).
fof(f159,plain,
! [X0,X1] : ~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ left_convergent_lines(X0,reverse_line(X1))
& ~ left_convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
~ ( left_convergent_lines(X0,reverse_line(X1))
| left_convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2] :
~ ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.qxd0riEbbV/Vampire---4.8_27853',oag11) ).
fof(f165,plain,
! [X0,X1] :
( left_convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(subsumption_resolution,[],[f161,f160]) ).
fof(f160,plain,
! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f97]) ).
fof(f161,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,[],[f99]) ).
fof(f99,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,[],[f98]) ).
fof(f98,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,[],[f56]) ).
fof(f56,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,[],[f14]) ).
fof(f14,axiom,
! [X1,X2] :
( ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) )
=> ( left_convergent_lines(X1,reverse_line(X2))
| left_convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qxd0riEbbV/Vampire---4.8_27853',oag9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO262+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.10/0.12 % 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
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 19:18:30 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_NEQ problem
% 0.11/0.32 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.qxd0riEbbV/Vampire---4.8_27853
% 0.61/0.79 % (27966)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)
% 0.61/0.79 % (27968)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79 % (27967)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)
% 0.61/0.79 % (27969)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)
% 0.61/0.79 % (27971)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)
% 0.61/0.79 % (27970)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)
% 0.61/0.79 % (27972)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)
% 0.61/0.79 % (27973)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)
% 0.61/0.80 % (27971)Refutation not found, incomplete strategy% (27971)------------------------------
% 0.61/0.80 % (27971)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (27971)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (27971)Memory used [KB]: 1062
% 0.61/0.80 % (27966)Refutation not found, incomplete strategy% (27966)------------------------------
% 0.61/0.80 % (27966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (27966)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (27966)Memory used [KB]: 1056
% 0.61/0.80 % (27966)Time elapsed: 0.004 s
% 0.61/0.80 % (27966)Instructions burned: 3 (million)
% 0.61/0.80 % (27966)------------------------------
% 0.61/0.80 % (27966)------------------------------
% 0.61/0.80 % (27971)Time elapsed: 0.003 s
% 0.61/0.80 % (27971)Instructions burned: 3 (million)
% 0.61/0.80 % (27971)------------------------------
% 0.61/0.80 % (27971)------------------------------
% 0.61/0.80 % (27968)First to succeed.
% 0.61/0.80 % (27972)Also succeeded, but the first one will report.
% 0.61/0.80 % (27969)Refutation not found, incomplete strategy% (27969)------------------------------
% 0.61/0.80 % (27969)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (27969)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (27969)Memory used [KB]: 1074
% 0.61/0.80 % (27969)Time elapsed: 0.005 s
% 0.61/0.80 % (27969)Instructions burned: 5 (million)
% 0.61/0.80 % (27969)------------------------------
% 0.61/0.80 % (27969)------------------------------
% 0.61/0.80 % (27968)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (27968)------------------------------
% 0.61/0.80 % (27968)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (27968)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (27968)Memory used [KB]: 1085
% 0.61/0.80 % (27968)Time elapsed: 0.004 s
% 0.61/0.80 % (27968)Instructions burned: 6 (million)
% 0.61/0.80 % (27968)------------------------------
% 0.61/0.80 % (27968)------------------------------
% 0.61/0.80 % (27963)Success in time 0.467 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------