TSTP Solution File: GEO202+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO202+1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.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 05:10:24 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 149 ( 53 ~; 62 |; 21 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 66 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(avatar_sat_refutation,[],[f114,f121,f133,f162,f174]) ).
fof(f174,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f170,f42]) ).
fof(f42,plain,
convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0)
& convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f19,f38]) ).
fof(f38,plain,
( ? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ( distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0)
& convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] :
( distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ~ distinct_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox/tmp/tmp.yGg8b4l4E5/Vampire---4.8_21655',con) ).
fof(f170,plain,
( ~ convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ spl3_8 ),
inference(resolution,[],[f113,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,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.yGg8b4l4E5/Vampire---4.8_21655',ci4) ).
fof(f113,plain,
( apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2))
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl3_8
<=> apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f162,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f161,plain,
( $false
| ~ spl3_7 ),
inference(subsumption_resolution,[],[f160,f42]) ).
fof(f160,plain,
( ~ convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ spl3_7 ),
inference(resolution,[],[f109,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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.yGg8b4l4E5/Vampire---4.8_21655',ci3) ).
fof(f109,plain,
( apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK1))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl3_7
<=> apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f133,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f132]) ).
fof(f132,plain,
( $false
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f129,f41]) ).
fof(f41,plain,
distinct_points(sK0,sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f129,plain,
( ~ distinct_points(sK0,sK2)
| ~ spl3_4 ),
inference(resolution,[],[f95,f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.yGg8b4l4E5/Vampire---4.8_21655',ci1) ).
fof(f95,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl3_4
<=> apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f121,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f117,f40]) ).
fof(f40,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f117,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f87,f45]) ).
fof(f87,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl3_2
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f114,plain,
( spl3_4
| spl3_7
| spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f78,f111,f85,f107,f93]) ).
fof(f78,plain,
( apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK2))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
inference(resolution,[],[f70,f43]) ).
fof(f43,plain,
distinct_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f70,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(X1,line_connecting(sK0,sK2)) ),
inference(resolution,[],[f67,f42]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ convergent_lines(X3,X1)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X3)
| ~ distinct_points(X2,X0)
| apart_point_and_line(X0,X1) ),
inference(resolution,[],[f47,f60]) ).
fof(f60,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f52,f54]) ).
fof(f54,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.yGg8b4l4E5/Vampire---4.8_21655',apart3) ).
fof(f52,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,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.yGg8b4l4E5/Vampire---4.8_21655',ceq3) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,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,[],[f24]) ).
fof(f24,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,[],[f17]) ).
fof(f17,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.yGg8b4l4E5/Vampire---4.8_21655',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO202+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:55:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 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.yGg8b4l4E5/Vampire---4.8_21655
% 0.56/0.74 % (21773)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 % (21773)Refutation not found, incomplete strategy% (21773)------------------------------
% 0.56/0.75 % (21773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (21773)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (21773)Memory used [KB]: 973
% 0.56/0.75 % (21773)Time elapsed: 0.002 s
% 0.56/0.75 % (21773)Instructions burned: 2 (million)
% 0.56/0.75 % (21773)------------------------------
% 0.56/0.75 % (21773)------------------------------
% 0.56/0.75 % (21766)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 % (21768)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 % (21767)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 % (21770)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 % (21771)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 % (21769)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 % (21772)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 % (21771)Refutation not found, incomplete strategy% (21771)------------------------------
% 0.56/0.75 % (21771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (21771)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (21771)Memory used [KB]: 973
% 0.56/0.75 % (21771)Time elapsed: 0.002 s
% 0.56/0.75 % (21771)Instructions burned: 2 (million)
% 0.56/0.75 % (21771)------------------------------
% 0.56/0.75 % (21771)------------------------------
% 0.56/0.75 % (21769)Refutation not found, incomplete strategy% (21769)------------------------------
% 0.56/0.75 % (21769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (21769)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (21769)Memory used [KB]: 979
% 0.56/0.75 % (21769)Time elapsed: 0.004 s
% 0.56/0.75 % (21769)Instructions burned: 3 (million)
% 0.56/0.75 % (21769)------------------------------
% 0.56/0.75 % (21769)------------------------------
% 0.56/0.75 % (21774)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)
% 0.56/0.75 % (21774)Refutation not found, incomplete strategy% (21774)------------------------------
% 0.56/0.75 % (21774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (21774)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (21774)Memory used [KB]: 979
% 0.56/0.75 % (21774)Time elapsed: 0.002 s
% 0.56/0.75 % (21774)Instructions burned: 3 (million)
% 0.56/0.75 % (21774)------------------------------
% 0.56/0.75 % (21774)------------------------------
% 0.56/0.75 % (21775)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)
% 0.56/0.75 % (21776)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)
% 0.56/0.75 % (21777)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.75 % (21768)First to succeed.
% 0.56/0.75 % (21772)Also succeeded, but the first one will report.
% 0.56/0.75 % (21768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21765"
% 0.56/0.75 % (21768)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (21768)------------------------------
% 0.56/0.76 % (21768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (21768)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (21768)Memory used [KB]: 1136
% 0.56/0.76 % (21768)Time elapsed: 0.011 s
% 0.56/0.76 % (21768)Instructions burned: 15 (million)
% 0.56/0.76 % (21765)Success in time 0.388 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------