TSTP Solution File: GEO205+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO205+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/sandbox/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 05:10:26 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 12 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 148 ( 59 ~; 64 |; 10 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 98 ( 92 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f186,f480]) ).
fof(f480,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f479]) ).
fof(f479,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f466,f198]) ).
fof(f198,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f141,f103]) ).
fof(f103,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
=> equal_points(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] :
( equal_points(X0,X1)
<=> ~ distinct_points(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',ax1) ).
fof(f141,plain,
( ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| spl4_1 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl4_1
<=> equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f466,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f147,f148,f164,f188,f337,f112]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',cu1) ).
fof(f337,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK1)
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f158,f187,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,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/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',ceq2) ).
fof(f187,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK2)
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f144,f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',ci4) ).
fof(f144,plain,
( convergent_lines(sK0,sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl4_2
<=> convergent_lines(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f158,plain,
~ distinct_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f97,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ equal_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| ~ equal_lines(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( equal_lines(X0,X1)
=> ~ distinct_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',ax2) ).
fof(f97,plain,
equal_lines(sK1,sK2),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
? [X0,X1,X2] :
( ( ~ equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) )
& equal_lines(X1,X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ( ~ equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
| ~ convergent_lines(X0,X2) )
& equal_lines(X1,X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( equal_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( equal_lines(X1,X2)
& convergent_lines(X0,X1) )
=> ( equal_points(intersection_point(X0,X1),intersection_point(X0,X2))
& convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',con) ).
fof(f188,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK2),sK0)
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f144,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',ci3) ).
fof(f164,plain,
distinct_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f102,f150,f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',ceq3) ).
fof(f150,plain,
convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f102,f96,f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f59,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/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',ax6) ).
fof(f96,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f54]) ).
fof(f102,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933',apart3) ).
fof(f148,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f96,f100]) ).
fof(f147,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f96,f99]) ).
fof(f186,plain,
spl4_2,
inference(avatar_split_clause,[],[f185,f143]) ).
fof(f185,plain,
convergent_lines(sK0,sK2),
inference(unit_resulting_resolution,[],[f96,f158,f116]) ).
fof(f146,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f95,f143,f139]) ).
fof(f95,plain,
( ~ convergent_lines(sK0,sK2)
| ~ equal_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)) ),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO205+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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 21:57:08 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ob1VoURGz4/Vampire---4.8_8933
% 0.56/0.75 % (9328)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)
% 0.56/0.75 % (9322)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)
% 0.56/0.75 % (9324)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (9323)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)
% 0.56/0.75 % (9325)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)
% 0.56/0.75 % (9326)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)
% 0.56/0.75 % (9327)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)
% 0.56/0.75 % (9325)Refutation not found, incomplete strategy% (9325)------------------------------
% 0.56/0.75 % (9325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (9325)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9325)Memory used [KB]: 1031
% 0.56/0.75 % (9325)Time elapsed: 0.003 s
% 0.56/0.75 % (9325)Instructions burned: 2 (million)
% 0.56/0.75 % (9325)------------------------------
% 0.56/0.75 % (9325)------------------------------
% 0.56/0.75 % (9327)Refutation not found, incomplete strategy% (9327)------------------------------
% 0.56/0.75 % (9327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (9327)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9327)Memory used [KB]: 1111
% 0.56/0.75 % (9327)Time elapsed: 0.003 s
% 0.56/0.75 % (9327)Instructions burned: 3 (million)
% 0.56/0.75 % (9329)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)
% 0.56/0.75 % (9327)------------------------------
% 0.56/0.75 % (9327)------------------------------
% 0.56/0.75 % (9322)Refutation not found, incomplete strategy% (9322)------------------------------
% 0.56/0.75 % (9322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (9322)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (9322)Memory used [KB]: 1120
% 0.56/0.75 % (9322)Time elapsed: 0.004 s
% 0.56/0.75 % (9322)Instructions burned: 4 (million)
% 0.56/0.75 % (9322)------------------------------
% 0.56/0.75 % (9322)------------------------------
% 0.60/0.76 % (9328)First to succeed.
% 0.60/0.76 % (9328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9165"
% 0.60/0.76 % (9332)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)
% 0.60/0.76 % (9328)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 % (9328)------------------------------
% 0.60/0.76 % (9328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (9328)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (9328)Memory used [KB]: 1222
% 0.60/0.76 % (9328)Time elapsed: 0.008 s
% 0.60/0.76 % (9328)Instructions burned: 21 (million)
% 0.60/0.76 % (9165)Success in time 0.388 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------