TSTP Solution File: GEO215+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO215+2 : 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 : n002.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 05:10:32 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 39 ~; 40 |; 12 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 56 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(subsumption_resolution,[],[f226,f88]) ).
fof(f88,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f82,f70]) ).
fof(f70,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.jCid6641Rp/Vampire---4.8_27193',ceq3) ).
fof(f82,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ~ unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& ~ unorthogonal_lines(sK0,sK2)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ unorthogonal_lines(X0,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( unorthogonal_lines(X1,X2)
| unorthogonal_lines(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X5,X6,X7] :
( convergent_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jCid6641Rp/Vampire---4.8_27193',con) ).
fof(f226,plain,
~ distinct_lines(sK0,sK1),
inference(subsumption_resolution,[],[f225,f130]) ).
fof(f130,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(resolution,[],[f86,f57]) ).
fof(f57,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.jCid6641Rp/Vampire---4.8_27193',apart1) ).
fof(f86,plain,
! [X0] :
( distinct_points(X0,intersection_point(sK0,sK1))
| ~ apart_point_and_line(X0,sK0) ),
inference(resolution,[],[f82,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jCid6641Rp/Vampire---4.8_27193',con2) ).
fof(f225,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ distinct_lines(sK0,sK1) ),
inference(subsumption_resolution,[],[f220,f84]) ).
fof(f84,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f220,plain,
( unorthogonal_lines(sK1,sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ distinct_lines(sK0,sK1) ),
inference(resolution,[],[f111,f145]) ).
fof(f145,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(resolution,[],[f87,f57]) ).
fof(f87,plain,
! [X0] :
( distinct_points(X0,intersection_point(sK0,sK1))
| ~ apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f82,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f111,plain,
! [X0,X1] :
( unorthogonal_lines(X0,sK2)
| apart_point_and_line(X1,sK0)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(sK0,X0) ),
inference(resolution,[],[f83,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.jCid6641Rp/Vampire---4.8_27193',ouo1) ).
fof(f83,plain,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO215+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n002.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 22:04:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36 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.jCid6641Rp/Vampire---4.8_27193
% 0.60/0.75 % (27393)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)
% 0.60/0.75 % (27399)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)
% 0.60/0.75 % (27395)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (27394)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)
% 0.60/0.75 % (27396)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)
% 0.60/0.75 % (27397)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 (2996ds/34Mi)
% 0.60/0.75 % (27398)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)
% 0.60/0.75 % (27400)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)
% 0.60/0.75 % (27396)Refutation not found, incomplete strategy% (27396)------------------------------
% 0.60/0.75 % (27396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (27396)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (27396)Memory used [KB]: 1062
% 0.60/0.75 % (27396)Time elapsed: 0.004 s
% 0.60/0.75 % (27396)Instructions burned: 4 (million)
% 0.60/0.75 % (27396)------------------------------
% 0.60/0.75 % (27396)------------------------------
% 0.60/0.75 % (27397)First to succeed.
% 0.60/0.76 % (27397)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27336"
% 0.60/0.76 % (27393)Instruction limit reached!
% 0.60/0.76 % (27393)------------------------------
% 0.60/0.76 % (27393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (27393)Termination reason: Unknown
% 0.60/0.76 % (27393)Termination phase: Saturation
% 0.60/0.76
% 0.60/0.76 % (27393)Memory used [KB]: 1194
% 0.60/0.76 % (27393)Time elapsed: 0.012 s
% 0.60/0.76 % (27393)Instructions burned: 34 (million)
% 0.60/0.76 % (27393)------------------------------
% 0.60/0.76 % (27393)------------------------------
% 0.60/0.76 % (27397)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (27397)------------------------------
% 0.60/0.76 % (27397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (27397)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (27397)Memory used [KB]: 1102
% 0.60/0.76 % (27397)Time elapsed: 0.007 s
% 0.60/0.76 % (27397)Instructions burned: 8 (million)
% 0.60/0.76 % (27336)Success in time 0.384 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------