TSTP Solution File: GEO221+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO221+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 : n015.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 05:10:35 EDT 2024
% Result : Theorem 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 54 ( 23 ~; 24 |; 1 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 50 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,plain,
$false,
inference(unit_resulting_resolution,[],[f59,f59,f81,f71]) ).
fof(f71,plain,
! [X2,X3,X1] :
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| sP3(X2,X1) ),
inference(cnf_transformation,[],[f71_D]) ).
fof(f71_D,plain,
! [X1,X2] :
( ! [X3] :
( unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) )
<=> ~ sP3(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f81,plain,
~ sP3(orthogonal_through_point(sK2,sK1),orthogonal_through_point(sK2,sK0)),
inference(unit_resulting_resolution,[],[f50,f58,f51,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ sP3(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2) ),
inference(general_splitting,[],[f65,f71_D]) ).
fof(f65,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.Mknq7VLFfb/Vampire---4.8_30678',ouo1) ).
fof(f51,plain,
distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(sK2,sK1)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X2,X0),orthogonal_through_point(X2,X1))
& ~ apart_point_and_line(X1,orthogonal_through_point(X2,X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1,X2] :
( ~ apart_point_and_line(X1,orthogonal_through_point(X2,X0))
=> ~ distinct_lines(orthogonal_through_point(X2,X0),orthogonal_through_point(X2,X1)) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X8,X9,X5] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X8,X9,X5] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
file('/export/starexec/sandbox/tmp/tmp.Mknq7VLFfb/Vampire---4.8_30678',con) ).
fof(f58,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.Mknq7VLFfb/Vampire---4.8_30678',ooc2) ).
fof(f50,plain,
~ apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f30]) ).
fof(f59,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.Mknq7VLFfb/Vampire---4.8_30678',ooc1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO221+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.11 % 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
% 0.11/0.31 % Computer : n015.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 22:04:38 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.31 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.Mknq7VLFfb/Vampire---4.8_30678
% 0.62/0.79 % (30791)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79 % (30792)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)
% 0.62/0.79 % (30789)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)
% 0.62/0.79 % (30794)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)
% 0.62/0.79 % (30793)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)
% 0.62/0.79 % (30790)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)
% 0.62/0.79 % (30795)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)
% 0.62/0.79 % (30796)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)
% 0.62/0.79 % (30794)Refutation not found, incomplete strategy% (30794)------------------------------
% 0.62/0.79 % (30794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (30794)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (30794)Memory used [KB]: 995
% 0.62/0.79 % (30794)Time elapsed: 0.003 s
% 0.62/0.79 % (30794)Instructions burned: 2 (million)
% 0.62/0.79 % (30792)Refutation not found, incomplete strategy% (30792)------------------------------
% 0.62/0.79 % (30792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (30792)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79
% 0.62/0.79 % (30792)Memory used [KB]: 996
% 0.62/0.79 % (30792)Time elapsed: 0.003 s
% 0.62/0.79 % (30792)Instructions burned: 3 (million)
% 0.62/0.79 % (30794)------------------------------
% 0.62/0.79 % (30794)------------------------------
% 0.62/0.79 % (30792)------------------------------
% 0.62/0.79 % (30792)------------------------------
% 0.62/0.79 % (30796)Also succeeded, but the first one will report.
% 0.62/0.79 % (30795)First to succeed.
% 0.62/0.79 % (30795)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30785"
% 0.62/0.79 % (30795)Refutation found. Thanks to Tanya!
% 0.62/0.79 % SZS status Theorem for Vampire---4
% 0.62/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79 % (30795)------------------------------
% 0.62/0.79 % (30795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (30795)Termination reason: Refutation
% 0.62/0.79
% 0.62/0.79 % (30795)Memory used [KB]: 1073
% 0.62/0.79 % (30795)Time elapsed: 0.004 s
% 0.62/0.79 % (30795)Instructions burned: 5 (million)
% 0.62/0.79 % (30785)Success in time 0.475 s
% 0.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------