TSTP Solution File: GEO199+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO199+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 : n021.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 02:22:53 EDT 2024
% Result : Theorem 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 82 ( 25 ~; 23 |; 27 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 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 : 69 ( 60 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f165,plain,
$false,
inference(resolution,[],[f163,f111]) ).
fof(f111,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/tmp/tmp.lY1ccqcjgT/Vampire---4.8_8682',cp2) ).
fof(f163,plain,
! [X0] : apart_point_and_line(intersection_point(sK1,sK0),parallel_through_point(sK2,X0)),
inference(resolution,[],[f162,f103]) ).
fof(f103,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.lY1ccqcjgT/Vampire---4.8_8682',apart3) ).
fof(f162,plain,
! [X0,X1] :
( convergent_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK1,sK0),parallel_through_point(X0,X1)) ),
inference(resolution,[],[f157,f141]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f102,f112]) ).
fof(f112,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/tmp/tmp.lY1ccqcjgT/Vampire---4.8_8682',cp1) ).
fof(f102,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f57,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.lY1ccqcjgT/Vampire---4.8_8682',ax6) ).
fof(f157,plain,
! [X0] :
( convergent_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK1,sK0),X0) ),
inference(resolution,[],[f155,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lY1ccqcjgT/Vampire---4.8_8682',p1) ).
fof(f155,plain,
! [X0] :
( distinct_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK1,sK0),X0) ),
inference(resolution,[],[f134,f137]) ).
fof(f137,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(resolution,[],[f105,f98]) ).
fof(f98,plain,
~ incident_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ~ incident_point_and_line(intersection_point(sK1,sK0),sK2)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f91]) ).
fof(f91,plain,
( ? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X1,X0),X2)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( ~ incident_point_and_line(intersection_point(sK1,sK0),sK2)
& incident_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X1,X0),X2)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X0,X1,X2] :
( ~ incident_point_and_line(intersection_point(X1,X0),X2)
& incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> incident_point_and_line(intersection_point(X1,X0),X2) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( incident_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> incident_point_and_line(intersection_point(X1,X0),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.lY1ccqcjgT/Vampire---4.8_8682',con) ).
fof(f105,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) )
& ( ~ apart_point_and_line(X0,X1)
| ~ incident_point_and_line(X0,X1) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lY1ccqcjgT/Vampire---4.8_8682',a4) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.lY1ccqcjgT/Vampire---4.8_8682',ceq2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO199+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % 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
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 19:03:41 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_NEQ problem
% 0.12/0.33 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.lY1ccqcjgT/Vampire---4.8_8682
% 0.60/0.82 % (8800)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)
% 0.60/0.82 % (8801)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)
% 0.60/0.82 % (8797)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)
% 0.60/0.82 % (8799)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)
% 0.60/0.82 % (8798)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82 % (8802)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)
% 0.60/0.82 % (8803)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)
% 0.60/0.82 % (8796)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)
% 0.60/0.82 % (8801)Refutation not found, incomplete strategy% (8801)------------------------------
% 0.60/0.82 % (8801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (8801)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (8801)Memory used [KB]: 1030
% 0.60/0.82 % (8801)Time elapsed: 0.003 s
% 0.60/0.82 % (8801)Instructions burned: 2 (million)
% 0.60/0.82 % (8801)------------------------------
% 0.60/0.82 % (8801)------------------------------
% 0.60/0.82 % (8803)Refutation not found, incomplete strategy% (8803)------------------------------
% 0.60/0.82 % (8803)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (8803)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (8803)Memory used [KB]: 1030
% 0.60/0.82 % (8803)Time elapsed: 0.003 s
% 0.60/0.82 % (8803)Instructions burned: 2 (million)
% 0.60/0.82 % (8803)------------------------------
% 0.60/0.82 % (8803)------------------------------
% 0.60/0.82 % (8799)Refutation not found, incomplete strategy% (8799)------------------------------
% 0.60/0.82 % (8799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (8799)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (8799)Memory used [KB]: 1100
% 0.60/0.82 % (8799)Time elapsed: 0.004 s
% 0.60/0.82 % (8799)Instructions burned: 4 (million)
% 0.60/0.82 % (8799)------------------------------
% 0.60/0.82 % (8799)------------------------------
% 0.60/0.82 % (8798)First to succeed.
% 0.60/0.82 % (8796)Refutation not found, incomplete strategy% (8796)------------------------------
% 0.60/0.82 % (8796)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (8796)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (8796)Memory used [KB]: 1117
% 0.60/0.82 % (8796)Time elapsed: 0.003 s
% 0.60/0.82 % (8796)Instructions burned: 4 (million)
% 0.60/0.82 % (8796)------------------------------
% 0.60/0.82 % (8796)------------------------------
% 0.60/0.83 % (8798)Refutation found. Thanks to Tanya!
% 0.60/0.83 % SZS status Theorem for Vampire---4
% 0.60/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83 % (8798)------------------------------
% 0.60/0.83 % (8798)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (8798)Termination reason: Refutation
% 0.60/0.83
% 0.60/0.83 % (8798)Memory used [KB]: 1119
% 0.60/0.83 % (8798)Time elapsed: 0.005 s
% 0.60/0.83 % (8798)Instructions burned: 6 (million)
% 0.60/0.83 % (8798)------------------------------
% 0.60/0.83 % (8798)------------------------------
% 0.60/0.83 % (8791)Success in time 0.485 s
% 0.60/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------