TSTP Solution File: GEO224+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO224+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 : n024.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 05:10:38 EDT 2024
% Result : Theorem 0.64s 0.81s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 9 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 139 ( 60 ~; 47 |; 20 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 86 ( 78 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f245,plain,
$false,
inference(resolution,[],[f234,f133]) ).
fof(f133,plain,
line(sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ! [X2] :
( ~ incident_point_and_line(X2,sK1)
| ~ point(X2) )
& line(sK1)
& point(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f92,f93]) ).
fof(f93,plain,
( ? [X0,X1] :
( ! [X2] :
( ~ incident_point_and_line(X2,X1)
| ~ point(X2) )
& line(X1)
& point(X0) )
=> ( ! [X2] :
( ~ incident_point_and_line(X2,sK1)
| ~ point(X2) )
& line(sK1)
& point(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
? [X0,X1] :
( ! [X2] :
( ~ incident_point_and_line(X2,X1)
| ~ point(X2) )
& line(X1)
& point(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
? [X0,X1] :
( ! [X2] :
( ~ incident_point_and_line(X2,X1)
| ~ point(X2) )
& line(X1)
& point(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( line(X1)
& point(X0) )
=> ? [X2] :
( incident_point_and_line(X2,X1)
& point(X2) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1] :
( ( line(X1)
& point(X0) )
=> ? [X2] :
( incident_point_and_line(X2,X1)
& point(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ABeCEraGNV/Vampire---4.8_21897',con) ).
fof(f234,plain,
! [X0] : ~ line(X0),
inference(resolution,[],[f225,f136]) ).
fof(f136,plain,
! [X0] :
( line(parallel_through_point(X0,sK0))
| ~ line(X0) ),
inference(resolution,[],[f132,f129]) ).
fof(f129,plain,
! [X0,X1] :
( line(parallel_through_point(X0,X1))
| ~ point(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( line(parallel_through_point(X0,X1))
| ~ point(X1)
| ~ line(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( line(parallel_through_point(X0,X1))
| ~ point(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( point(X1)
& line(X0) )
=> line(parallel_through_point(X0,X1)) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X5,X8] :
( ( point(X8)
& line(X5) )
=> line(parallel_through_point(X5,X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.ABeCEraGNV/Vampire---4.8_21897',par1) ).
fof(f132,plain,
point(sK0),
inference(cnf_transformation,[],[f94]) ).
fof(f225,plain,
! [X0] : ~ line(parallel_through_point(X0,sK0)),
inference(resolution,[],[f184,f163]) ).
fof(f163,plain,
! [X0] : distinct_lines(sK1,parallel_through_point(X0,sK0)),
inference(resolution,[],[f146,f111]) ).
fof(f111,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.ABeCEraGNV/Vampire---4.8_21897',cp2) ).
fof(f146,plain,
! [X0] :
( apart_point_and_line(sK0,X0)
| distinct_lines(sK1,X0) ),
inference(resolution,[],[f145,f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f66,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.ABeCEraGNV/Vampire---4.8_21897',ceq2) ).
fof(f145,plain,
apart_point_and_line(sK0,sK1),
inference(resolution,[],[f143,f132]) ).
fof(f143,plain,
! [X0] :
( ~ point(X0)
| apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f134,f131]) ).
fof(f131,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,X1)
=> incident_point_and_line(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( incident_point_and_line(X0,X1)
<=> ~ apart_point_and_line(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ABeCEraGNV/Vampire---4.8_21897',a4) ).
fof(f134,plain,
! [X2] :
( ~ incident_point_and_line(X2,sK1)
| ~ point(X2) ),
inference(cnf_transformation,[],[f94]) ).
fof(f184,plain,
! [X0] :
( ~ distinct_lines(sK1,X0)
| ~ line(X0) ),
inference(resolution,[],[f179,f109]) ).
fof(f109,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,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.ABeCEraGNV/Vampire---4.8_21897',p1) ).
fof(f179,plain,
! [X0] :
( ~ convergent_lines(sK1,X0)
| ~ line(X0) ),
inference(subsumption_resolution,[],[f178,f133]) ).
fof(f178,plain,
! [X0] :
( ~ convergent_lines(sK1,X0)
| ~ line(X0)
| ~ line(sK1) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ~ convergent_lines(sK1,X0)
| ~ line(X0)
| ~ line(sK1)
| ~ convergent_lines(sK1,X0) ),
inference(resolution,[],[f144,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,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.ABeCEraGNV/Vampire---4.8_21897',ci3) ).
fof(f144,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),sK1)
| ~ convergent_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(resolution,[],[f143,f128]) ).
fof(f128,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ convergent_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ convergent_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( point(intersection_point(X0,X1))
| ~ convergent_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( convergent_lines(X0,X1)
& line(X1)
& line(X0) )
=> point(intersection_point(X0,X1)) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X5,X6] :
( ( convergent_lines(X5,X6)
& line(X6)
& line(X5) )
=> point(intersection_point(X5,X6)) ),
file('/export/starexec/sandbox2/tmp/tmp.ABeCEraGNV/Vampire---4.8_21897',int1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO224+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.12 % 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
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 21:52:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_NEQ problem
% 0.12/0.33 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.ABeCEraGNV/Vampire---4.8_21897
% 0.64/0.81 % (22013)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.81 % (22011)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.81 % (22012)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 (2995ds/34Mi)
% 0.64/0.81 % (22008)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 (2995ds/34Mi)
% 0.64/0.81 % (22010)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.81 % (22009)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 (2995ds/51Mi)
% 0.64/0.81 % (22014)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 (2995ds/83Mi)
% 0.64/0.81 % (22015)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 (2995ds/56Mi)
% 0.64/0.81 % (22013)Refutation not found, incomplete strategy% (22013)------------------------------
% 0.64/0.81 % (22013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (22013)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (22013)Memory used [KB]: 1010
% 0.64/0.81 % (22013)Time elapsed: 0.002 s
% 0.64/0.81 % (22013)Instructions burned: 2 (million)
% 0.64/0.81 % (22015)Refutation not found, incomplete strategy% (22015)------------------------------
% 0.64/0.81 % (22015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (22015)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (22015)Memory used [KB]: 1010
% 0.64/0.81 % (22015)Time elapsed: 0.002 s
% 0.64/0.81 % (22015)Instructions burned: 2 (million)
% 0.64/0.81 % (22008)Refutation not found, incomplete strategy% (22008)------------------------------
% 0.64/0.81 % (22008)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (22008)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (22008)Memory used [KB]: 1014
% 0.64/0.81 % (22008)Time elapsed: 0.003 s
% 0.64/0.81 % (22008)Instructions burned: 2 (million)
% 0.64/0.81 % (22013)------------------------------
% 0.64/0.81 % (22013)------------------------------
% 0.64/0.81 % (22015)------------------------------
% 0.64/0.81 % (22015)------------------------------
% 0.64/0.81 % (22008)------------------------------
% 0.64/0.81 % (22008)------------------------------
% 0.64/0.81 % (22011)Refutation not found, incomplete strategy% (22011)------------------------------
% 0.64/0.81 % (22011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (22011)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.81
% 0.64/0.81 % (22011)Memory used [KB]: 1010
% 0.64/0.81 % (22011)Time elapsed: 0.003 s
% 0.64/0.81 % (22011)Instructions burned: 2 (million)
% 0.64/0.81 % (22011)------------------------------
% 0.64/0.81 % (22011)------------------------------
% 0.64/0.81 % (22012)First to succeed.
% 0.64/0.81 % (22010)Also succeeded, but the first one will report.
% 0.64/0.81 % (22012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22004"
% 0.64/0.81 % (22016)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 (2995ds/55Mi)
% 0.64/0.81 % (22018)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 (2995ds/208Mi)
% 0.64/0.81 % (22017)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 (2995ds/50Mi)
% 0.64/0.81 % (22012)Refutation found. Thanks to Tanya!
% 0.64/0.81 % SZS status Theorem for Vampire---4
% 0.64/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.81 % (22012)------------------------------
% 0.64/0.81 % (22012)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (22012)Termination reason: Refutation
% 0.64/0.81
% 0.64/0.81 % (22012)Memory used [KB]: 1132
% 0.64/0.81 % (22012)Time elapsed: 0.006 s
% 0.64/0.81 % (22012)Instructions burned: 7 (million)
% 0.64/0.81 % (22004)Success in time 0.473 s
% 0.64/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------