TSTP Solution File: GEO201+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO201+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 : n021.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 : Wed May 1 02:22:54 EDT 2024
% Result : Theorem 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 88 ( 34 ~; 41 |; 3 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 72 ( 70 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(subsumption_resolution,[],[f223,f186]) ).
fof(f186,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f93,f99]) ).
fof(f99,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( equal_points(X0,X1)
| distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,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/sandbox2/tmp/tmp.CCmgYWlvFl/Vampire---4.8_23529',ax1) ).
fof(f93,plain,
~ equal_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
? [X0,X1] :
( ~ equal_points(intersection_point(X0,X1),intersection_point(X1,X0))
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> equal_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> equal_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.CCmgYWlvFl/Vampire---4.8_23529',con) ).
fof(f223,plain,
~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f133,f134,f137,f144,f145,f107]) ).
fof(f107,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,[],[f75]) ).
fof(f75,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,[],[f74]) ).
fof(f74,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/sandbox2/tmp/tmp.CCmgYWlvFl/Vampire---4.8_23529',cu1) ).
fof(f145,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK1),
inference(unit_resulting_resolution,[],[f136,f96]) ).
fof(f96,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,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/sandbox2/tmp/tmp.CCmgYWlvFl/Vampire---4.8_23529',ci3) ).
fof(f136,plain,
convergent_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f98,f92,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f57]) ).
fof(f57,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.CCmgYWlvFl/Vampire---4.8_23529',ax6) ).
fof(f92,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f98,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.CCmgYWlvFl/Vampire---4.8_23529',apart3) ).
fof(f144,plain,
~ apart_point_and_line(intersection_point(sK1,sK0),sK0),
inference(unit_resulting_resolution,[],[f136,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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/sandbox2/tmp/tmp.CCmgYWlvFl/Vampire---4.8_23529',ci4) ).
fof(f137,plain,
distinct_lines(sK1,sK0),
inference(unit_resulting_resolution,[],[f98,f92,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f81]) ).
fof(f81,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/sandbox2/tmp/tmp.CCmgYWlvFl/Vampire---4.8_23529',ceq3) ).
fof(f134,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(unit_resulting_resolution,[],[f92,f96]) ).
fof(f133,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f92,f95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO201+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 18:59:41 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.37 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.CCmgYWlvFl/Vampire---4.8_23529
% 0.58/0.75 % (23691)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)
% 0.58/0.75 % (23691)Refutation not found, incomplete strategy% (23691)------------------------------
% 0.58/0.75 % (23691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (23691)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (23691)Memory used [KB]: 1106
% 0.58/0.75 % (23691)Time elapsed: 0.002 s
% 0.58/0.75 % (23691)Instructions burned: 3 (million)
% 0.58/0.75 % (23691)------------------------------
% 0.58/0.75 % (23691)------------------------------
% 0.58/0.75 % (23693)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 % (23694)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (23695)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)
% 0.58/0.75 % (23697)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)
% 0.58/0.75 % (23698)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)
% 0.58/0.75 % (23699)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)
% 0.58/0.75 % (23696)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)
% 0.58/0.76 % (23697)Refutation not found, incomplete strategy% (23697)------------------------------
% 0.58/0.76 % (23697)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (23695)Refutation not found, incomplete strategy% (23695)------------------------------
% 0.58/0.76 % (23695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (23695)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23695)Memory used [KB]: 1030
% 0.58/0.76 % (23695)Time elapsed: 0.003 s
% 0.58/0.76 % (23695)Instructions burned: 2 (million)
% 0.58/0.76 % (23695)------------------------------
% 0.58/0.76 % (23695)------------------------------
% 0.58/0.76 % (23697)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23697)Memory used [KB]: 1096
% 0.58/0.76 % (23697)Time elapsed: 0.003 s
% 0.58/0.76 % (23699)Refutation not found, incomplete strategy% (23699)------------------------------
% 0.58/0.76 % (23699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (23699)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23699)Memory used [KB]: 1030
% 0.58/0.76 % (23699)Time elapsed: 0.002 s
% 0.58/0.76 % (23699)Instructions burned: 2 (million)
% 0.58/0.76 % (23699)------------------------------
% 0.58/0.76 % (23699)------------------------------
% 0.58/0.76 % (23697)Instructions burned: 2 (million)
% 0.58/0.76 % (23697)------------------------------
% 0.58/0.76 % (23697)------------------------------
% 0.58/0.76 % (23702)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)
% 0.58/0.76 % (23702)Refutation not found, incomplete strategy% (23702)------------------------------
% 0.58/0.76 % (23702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (23702)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23702)Memory used [KB]: 1030
% 0.58/0.76 % (23702)Time elapsed: 0.001 s
% 0.58/0.76 % (23702)Instructions burned: 2 (million)
% 0.58/0.76 % (23702)------------------------------
% 0.58/0.76 % (23702)------------------------------
% 0.58/0.76 % (23698)First to succeed.
% 0.58/0.76 % (23707)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.58/0.76 % (23704)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)
% 0.58/0.76 % (23705)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)
% 0.58/0.76 % (23706)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)
% 0.58/0.76 % (23707)Refutation not found, incomplete strategy% (23707)------------------------------
% 0.58/0.76 % (23707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (23707)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (23707)Memory used [KB]: 1106
% 0.58/0.76 % (23707)Time elapsed: 0.001 s
% 0.58/0.76 % (23707)Instructions burned: 3 (million)
% 0.58/0.76 % (23707)------------------------------
% 0.58/0.76 % (23707)------------------------------
% 0.58/0.76 % (23698)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Theorem for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (23698)------------------------------
% 0.58/0.76 % (23698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.76 % (23698)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (23698)Memory used [KB]: 1124
% 0.58/0.76 % (23698)Time elapsed: 0.007 s
% 0.58/0.76 % (23698)Instructions burned: 10 (million)
% 0.58/0.76 % (23698)------------------------------
% 0.58/0.76 % (23698)------------------------------
% 0.58/0.76 % (23658)Success in time 0.385 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------