TSTP Solution File: GEO213+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO213+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 : n026.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 02:23:00 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 108 ( 34 ~; 44 |; 20 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 71 ( 62 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,plain,
$false,
inference(avatar_sat_refutation,[],[f199,f207,f257]) ).
fof(f257,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f253,f59]) ).
fof(f59,plain,
~ unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ~ unorthogonal_lines(sK1,sK2)
& ~ distinct_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f55]) ).
fof(f55,plain,
( ? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) )
=> ( ~ unorthogonal_lines(sK1,sK2)
& ~ distinct_lines(sK0,sK2)
& unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
& ~ distinct_lines(X0,X2)
& unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1,X2] :
( unorthogonal_lines(X0,X1)
=> ( unorthogonal_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
inference(rectify,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X5,X6,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X5,X6,X7] :
( unorthogonal_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| distinct_lines(X5,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.KbKs9lzRr1/Vampire---4.8_23604',con) ).
fof(f253,plain,
( unorthogonal_lines(sK1,sK2)
| ~ spl3_6 ),
inference(resolution,[],[f226,f58]) ).
fof(f58,plain,
~ distinct_lines(sK0,sK2),
inference(cnf_transformation,[],[f56]) ).
fof(f226,plain,
( ! [X0] :
( distinct_lines(sK0,X0)
| unorthogonal_lines(sK1,X0) )
| ~ spl3_6 ),
inference(resolution,[],[f206,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.KbKs9lzRr1/Vampire---4.8_23604',ceq3) ).
fof(f206,plain,
( ! [X0] :
( convergent_lines(sK0,X0)
| unorthogonal_lines(sK1,X0) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl3_6
<=> ! [X0] :
( convergent_lines(sK0,X0)
| unorthogonal_lines(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f207,plain,
( ~ spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f143,f205,f127]) ).
fof(f127,plain,
( spl3_1
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f143,plain,
! [X0] :
( convergent_lines(sK0,X0)
| unorthogonal_lines(sK1,X0)
| ~ convergent_lines(sK0,sK1) ),
inference(resolution,[],[f70,f57]) ).
fof(f57,plain,
unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,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,[],[f43]) ).
fof(f43,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,[],[f27]) ).
fof(f27,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.KbKs9lzRr1/Vampire---4.8_23604',oac1) ).
fof(f199,plain,
spl3_1,
inference(avatar_split_clause,[],[f193,f127]) ).
fof(f193,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f166,f58]) ).
fof(f166,plain,
! [X0] :
( distinct_lines(X0,sK2)
| convergent_lines(X0,sK1) ),
inference(resolution,[],[f157,f62]) ).
fof(f157,plain,
! [X0] :
( convergent_lines(X0,sK2)
| convergent_lines(X0,sK1) ),
inference(resolution,[],[f102,f77]) ).
fof(f77,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.KbKs9lzRr1/Vampire---4.8_23604',apart3) ).
fof(f102,plain,
! [X0,X1] :
( convergent_lines(sK1,X1)
| convergent_lines(X0,sK2)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f97,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f47]) ).
fof(f47,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.KbKs9lzRr1/Vampire---4.8_23604',apart6) ).
fof(f97,plain,
! [X0] :
( convergent_lines(sK1,X0)
| convergent_lines(X0,sK2) ),
inference(resolution,[],[f93,f77]) ).
fof(f93,plain,
! [X0,X1] :
( convergent_lines(sK2,X1)
| convergent_lines(sK1,X0)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f91,f76]) ).
fof(f91,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f76,f85]) ).
fof(f85,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f72,f59]) ).
fof(f72,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( unorthogonal_lines(X5,X6)
| convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.KbKs9lzRr1/Vampire---4.8_23604',occu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO213+2 : 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 : n026.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 : Tue Apr 30 19:19:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35 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.KbKs9lzRr1/Vampire---4.8_23604
% 0.52/0.73 % (23719)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)
% 0.52/0.74 % (23712)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)
% 0.52/0.74 % (23714)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.74 % (23713)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)
% 0.58/0.74 % (23714)First to succeed.
% 0.58/0.74 % (23717)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 % (23717)Also succeeded, but the first one will report.
% 0.58/0.75 % (23715)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 % (23716)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)
% 0.58/0.75 % (23719)Instruction limit reached!
% 0.58/0.75 % (23719)------------------------------
% 0.58/0.75 % (23719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (23719)Termination reason: Unknown
% 0.58/0.75 % (23719)Termination phase: Saturation
% 0.58/0.75
% 0.58/0.75 % (23719)Memory used [KB]: 1192
% 0.58/0.75 % (23719)Time elapsed: 0.016 s
% 0.58/0.75 % (23719)Instructions burned: 56 (million)
% 0.58/0.75 % (23719)------------------------------
% 0.58/0.75 % (23719)------------------------------
% 0.58/0.75 % (23718)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 % (23720)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)
% 0.58/0.75 % (23714)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (23714)------------------------------
% 0.58/0.75 % (23714)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75 % (23714)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (23714)Memory used [KB]: 1122
% 0.58/0.75 % (23714)Time elapsed: 0.010 s
% 0.58/0.75 % (23714)Instructions burned: 14 (million)
% 0.58/0.75 % (23714)------------------------------
% 0.58/0.75 % (23714)------------------------------
% 0.58/0.75 % (23711)Success in time 0.395 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------