TSTP Solution File: GEO223+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO223+2 : 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 : 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 : Sun May 5 05:10:36 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 30 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 131 ( 47 ~; 66 |; 10 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 116 ( 114 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f431,plain,
$false,
inference(subsumption_resolution,[],[f422,f410]) ).
fof(f410,plain,
unorthogonal_lines(sK1,orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f60,f90,f403,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
=> ( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X5,X6,X7] :
( ( unorthogonal_lines(X5,X6)
& convergent_lines(X5,X6) )
=> ( ( unorthogonal_lines(X6,X7)
& convergent_lines(X6,X7) )
| ( unorthogonal_lines(X5,X7)
& convergent_lines(X5,X7) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',oac1) ).
fof(f403,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),
inference(unit_resulting_resolution,[],[f60,f261,f72]) ).
fof(f72,plain,
! [X2,X3,X1] :
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| sP2(X2,X1) ),
inference(cnf_transformation,[],[f72_D]) ).
fof(f72_D,plain,
! [X1,X2] :
( ! [X3] :
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) )
<=> ~ sP2(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f261,plain,
~ sP2(orthogonal_through_point(sK1,sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(unit_resulting_resolution,[],[f59,f59,f146,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ sP2(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2) ),
inference(general_splitting,[],[f66,f72_D]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',ouo1) ).
fof(f146,plain,
distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f50,f129,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f38,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/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',apart5) ).
fof(f129,plain,
~ distinct_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f57,f59,f118,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',cup1) ).
fof(f118,plain,
~ convergent_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f60,f58,f116,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f116,plain,
unorthogonal_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f60,f78,f72]) ).
fof(f78,plain,
~ sP2(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),parallel_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f57,f59,f50,f73]) ).
fof(f58,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',cp1) ).
fof(f57,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',cp2) ).
fof(f50,plain,
distinct_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
? [X0,X1] : distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] : ~ distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X8,X5] : ~ distinct_lines(parallel_through_point(X5,X8),orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X8,X5] : ~ distinct_lines(parallel_through_point(X5,X8),orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',con) ).
fof(f59,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',ooc2) ).
fof(f90,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),
inference(unit_resulting_resolution,[],[f58,f77,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f40,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.nZACr04W2m/Vampire---4.8_26659',apart6) ).
fof(f77,plain,
convergent_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(unit_resulting_resolution,[],[f57,f59,f50,f51]) ).
fof(f60,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',ooc1) ).
fof(f422,plain,
~ unorthogonal_lines(sK1,orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f62,f60,f408,f70]) ).
fof(f408,plain,
convergent_lines(sK1,orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f60,f90,f403,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| unorthogonal_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f62,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.nZACr04W2m/Vampire---4.8_26659',apart3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO223+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 22:00:08 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37 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.nZACr04W2m/Vampire---4.8_26659
% 0.60/0.75 % (26909)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)
% 0.60/0.75 % (26904)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)
% 0.60/0.75 % (26906)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75 % (26910)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)
% 0.60/0.75 % (26911)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)
% 0.60/0.75 % (26905)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)
% 0.60/0.75 % (26909)Refutation not found, incomplete strategy% (26909)------------------------------
% 0.60/0.75 % (26909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (26909)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (26909)Memory used [KB]: 994
% 0.60/0.75 % (26909)Time elapsed: 0.002 s
% 0.60/0.75 % (26909)Instructions burned: 2 (million)
% 0.60/0.75 % (26909)------------------------------
% 0.60/0.75 % (26909)------------------------------
% 0.60/0.75 % (26908)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)
% 0.60/0.75 % (26911)Refutation not found, incomplete strategy% (26911)------------------------------
% 0.60/0.75 % (26911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.75 % (26911)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.75
% 0.60/0.75 % (26911)Memory used [KB]: 994
% 0.60/0.75 % (26911)Time elapsed: 0.002 s
% 0.60/0.75 % (26911)Instructions burned: 2 (million)
% 0.60/0.75 % (26911)------------------------------
% 0.60/0.75 % (26911)------------------------------
% 0.60/0.75 % (26907)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)
% 0.60/0.76 % (26913)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)
% 0.60/0.76 % (26910)First to succeed.
% 0.60/0.76 % (26910)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26900"
% 0.60/0.76 % (26910)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 % (26910)------------------------------
% 0.60/0.76 % (26910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (26910)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (26910)Memory used [KB]: 1098
% 0.60/0.76 % (26910)Time elapsed: 0.011 s
% 0.60/0.76 % (26910)Instructions burned: 17 (million)
% 0.60/0.76 % (26900)Success in time 0.39 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------