TSTP Solution File: GEO191+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO191+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 : n005.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 05:10:20 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 9 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 124 ( 41 ~; 48 |; 26 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 65 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(avatar_sat_refutation,[],[f143,f175,f205]) ).
fof(f205,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| ~ spl4_1 ),
inference(resolution,[],[f196,f109]) ).
fof(f109,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.0iD1Jhn0d1/Vampire---4.8_19252',cp2) ).
fof(f196,plain,
( ! [X0] : apart_point_and_line(intersection_point(sK0,sK1),parallel_through_point(sK2,X0))
| ~ spl4_1 ),
inference(resolution,[],[f192,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.0iD1Jhn0d1/Vampire---4.8_19252',apart3) ).
fof(f192,plain,
( ! [X0,X1] :
( convergent_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK0,sK1),parallel_through_point(X0,X1)) )
| ~ spl4_1 ),
inference(resolution,[],[f183,f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f102,f110]) ).
fof(f110,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.0iD1Jhn0d1/Vampire---4.8_19252',cp1) ).
fof(f102,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f58]) ).
fof(f58,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.0iD1Jhn0d1/Vampire---4.8_19252',ax6) ).
fof(f183,plain,
( ! [X0] :
( convergent_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0) )
| ~ spl4_1 ),
inference(resolution,[],[f176,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,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.0iD1Jhn0d1/Vampire---4.8_19252',p1) ).
fof(f176,plain,
( ! [X0] :
( distinct_lines(sK2,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0) )
| ~ spl4_1 ),
inference(resolution,[],[f138,f132]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f88]) ).
fof(f88,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.0iD1Jhn0d1/Vampire---4.8_19252',ceq2) ).
fof(f138,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f175,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f172]) ).
fof(f172,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f167,f109]) ).
fof(f167,plain,
( ! [X0] : apart_point_and_line(intersection_point(sK0,sK1),parallel_through_point(sK3,X0))
| ~ spl4_2 ),
inference(resolution,[],[f166,f103]) ).
fof(f166,plain,
( ! [X0,X1] :
( convergent_lines(sK3,X0)
| apart_point_and_line(intersection_point(sK0,sK1),parallel_through_point(X0,X1)) )
| ~ spl4_2 ),
inference(resolution,[],[f164,f146]) ).
fof(f164,plain,
( ! [X0] :
( convergent_lines(sK3,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0) )
| ~ spl4_2 ),
inference(resolution,[],[f160,f130]) ).
fof(f160,plain,
( ! [X0] :
( distinct_lines(sK3,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0) )
| ~ spl4_2 ),
inference(resolution,[],[f132,f142]) ).
fof(f142,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f143,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f96,f140,f136]) ).
fof(f96,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| apart_point_and_line(intersection_point(sK0,sK1),sK2) )
& convergent_lines(sK2,sK3)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X3)
| apart_point_and_line(intersection_point(X0,X1),X2) )
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(intersection_point(X0,X1),X4)
| apart_point_and_line(intersection_point(X0,X1),X3) )
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(X3,X4),X1)
| apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.0iD1Jhn0d1/Vampire---4.8_19252',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO191+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:59:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 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.0iD1Jhn0d1/Vampire---4.8_19252
% 0.58/0.74 % (19435)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)
% 0.58/0.74 % (19437)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (19438)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)
% 0.58/0.74 % (19440)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)
% 0.58/0.74 % (19439)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)
% 0.58/0.74 % (19441)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)
% 0.58/0.74 % (19443)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)
% 0.58/0.74 % (19440)Refutation not found, incomplete strategy% (19440)------------------------------
% 0.58/0.74 % (19440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (19440)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (19440)Memory used [KB]: 1096
% 0.58/0.74 % (19440)Time elapsed: 0.003 s
% 0.58/0.74 % (19440)Instructions burned: 2 (million)
% 0.58/0.74 % (19443)Refutation not found, incomplete strategy% (19443)------------------------------
% 0.58/0.74 % (19443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (19443)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (19443)Memory used [KB]: 1096
% 0.58/0.74 % (19443)Time elapsed: 0.003 s
% 0.58/0.74 % (19443)Instructions burned: 2 (million)
% 0.58/0.74 % (19440)------------------------------
% 0.58/0.74 % (19440)------------------------------
% 0.58/0.74 % (19438)Refutation not found, incomplete strategy% (19438)------------------------------
% 0.58/0.74 % (19438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (19438)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (19438)Memory used [KB]: 1100
% 0.58/0.74 % (19438)Time elapsed: 0.003 s
% 0.58/0.74 % (19438)Instructions burned: 3 (million)
% 0.58/0.74 % (19443)------------------------------
% 0.58/0.74 % (19443)------------------------------
% 0.58/0.74 % (19438)------------------------------
% 0.58/0.74 % (19438)------------------------------
% 0.58/0.74 % (19437)First to succeed.
% 0.58/0.74 % (19448)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 (2996ds/208Mi)
% 0.58/0.74 % (19435)Also succeeded, but the first one will report.
% 0.58/0.75 % (19436)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)
% 0.58/0.75 % (19437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19382"
% 0.58/0.75 % (19446)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 (2996ds/55Mi)
% 0.58/0.75 % (19447)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 (2996ds/50Mi)
% 0.58/0.75 % (19437)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (19437)------------------------------
% 0.58/0.75 % (19437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19437)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (19437)Memory used [KB]: 1140
% 0.58/0.75 % (19437)Time elapsed: 0.007 s
% 0.58/0.75 % (19437)Instructions burned: 9 (million)
% 0.58/0.75 % (19382)Success in time 0.382 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------