TSTP Solution File: GEO177+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO177+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 : n019.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 05:10:13 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 130 ( 42 ~; 53 |; 23 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 76 ( 64 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f212,plain,
$false,
inference(avatar_sat_refutation,[],[f143,f174,f211]) ).
fof(f211,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f208,plain,
( $false
| ~ spl4_1 ),
inference(resolution,[],[f202,f117]) ).
fof(f117,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.RfKzOjEIUH/Vampire---4.8_6663',cp2) ).
fof(f202,plain,
( ! [X0] : apart_point_and_line(sK0,parallel_through_point(line_connecting(sK2,sK3),X0))
| ~ spl4_1 ),
inference(resolution,[],[f199,f118]) ).
fof(f118,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.RfKzOjEIUH/Vampire---4.8_6663',cp1) ).
fof(f199,plain,
( ! [X0] :
( convergent_lines(X0,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f190,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,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.RfKzOjEIUH/Vampire---4.8_6663',p1) ).
fof(f190,plain,
( ! [X0] :
( distinct_lines(X0,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f179,f114]) ).
fof(f114,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.RfKzOjEIUH/Vampire---4.8_6663',apart2) ).
fof(f179,plain,
( ! [X0,X1] :
( distinct_lines(line_connecting(sK2,sK3),X1)
| apart_point_and_line(sK0,X0)
| distinct_lines(X0,X1) )
| ~ spl4_1 ),
inference(resolution,[],[f175,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RfKzOjEIUH/Vampire---4.8_6663',apart5) ).
fof(f175,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f138,f112]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,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.RfKzOjEIUH/Vampire---4.8_6663',ceq2) ).
fof(f138,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl4_1
<=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f174,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| ~ spl4_2 ),
inference(resolution,[],[f168,f117]) ).
fof(f168,plain,
( ! [X0] : apart_point_and_line(sK1,parallel_through_point(line_connecting(sK2,sK3),X0))
| ~ spl4_2 ),
inference(resolution,[],[f166,f118]) ).
fof(f166,plain,
( ! [X0] :
( convergent_lines(X0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f158,f110]) ).
fof(f158,plain,
( ! [X0] :
( distinct_lines(X0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f153,f114]) ).
fof(f153,plain,
( ! [X0,X1] :
( distinct_lines(line_connecting(sK2,sK3),X0)
| distinct_lines(X1,X0)
| apart_point_and_line(sK1,X1) )
| ~ spl4_2 ),
inference(resolution,[],[f113,f150]) ).
fof(f150,plain,
( ! [X0] :
( distinct_lines(line_connecting(sK2,sK3),X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f112,f142]) ).
fof(f142,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl4_2
<=> apart_point_and_line(sK1,line_connecting(sK2,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(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(sK2,sK3)
& distinct_points(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(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) ) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.RfKzOjEIUH/Vampire---4.8_6663',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO177+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 21:58:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.35 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.RfKzOjEIUH/Vampire---4.8_6663
% 0.57/0.75 % (6794)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)
% 0.57/0.76 % (6796)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (6797)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)
% 0.57/0.76 % (6795)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)
% 0.57/0.76 % (6798)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)
% 0.57/0.76 % (6799)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)
% 0.57/0.76 % (6800)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)
% 0.57/0.76 % (6801)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)
% 0.57/0.76 % (6801)Refutation not found, incomplete strategy% (6801)------------------------------
% 0.57/0.76 % (6801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (6801)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (6801)Memory used [KB]: 1101
% 0.57/0.76 % (6801)Time elapsed: 0.003 s
% 0.57/0.76 % (6801)Instructions burned: 2 (million)
% 0.57/0.76 % (6801)------------------------------
% 0.57/0.76 % (6801)------------------------------
% 0.57/0.76 % (6797)Refutation not found, incomplete strategy% (6797)------------------------------
% 0.57/0.76 % (6797)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (6797)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (6797)Memory used [KB]: 1105
% 0.57/0.76 % (6797)Time elapsed: 0.003 s
% 0.57/0.76 % (6797)Instructions burned: 4 (million)
% 0.57/0.76 % (6797)------------------------------
% 0.57/0.76 % (6797)------------------------------
% 0.57/0.76 % (6796)First to succeed.
% 0.57/0.76 % (6800)Also succeeded, but the first one will report.
% 0.57/0.76 % (6796)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6793"
% 0.57/0.76 % (6796)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (6796)------------------------------
% 0.57/0.76 % (6796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (6796)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (6796)Memory used [KB]: 1136
% 0.57/0.76 % (6796)Time elapsed: 0.006 s
% 0.57/0.76 % (6796)Instructions burned: 8 (million)
% 0.57/0.76 % (6793)Success in time 0.405 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------