TSTP Solution File: GEO222+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO222+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 02:23:06 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 42 ( 19 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 51 ~; 41 |; 18 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 82 ( 80 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f304,plain,
$false,
inference(subsumption_resolution,[],[f296,f215]) ).
fof(f215,plain,
~ convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f118,f170,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f80]) ).
fof(f80,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.OGlEKt7QFy/Vampire---4.8_3704',ax6) ).
fof(f170,plain,
~ convergent_lines(orthogonal_through_point(sK1,sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(unit_resulting_resolution,[],[f118,f96,f135,f115]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,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,[],[f78]) ).
fof(f78,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,[],[f50]) ).
fof(f50,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,[],[f20]) ).
fof(f20,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.OGlEKt7QFy/Vampire---4.8_3704',oac1) ).
fof(f135,plain,
! [X0] : unorthogonal_lines(orthogonal_through_point(sK1,X0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(unit_resulting_resolution,[],[f96,f133,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X5,X6,X7] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.OGlEKt7QFy/Vampire---4.8_3704',couo1) ).
fof(f133,plain,
convergent_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(unit_resulting_resolution,[],[f93,f97]) ).
fof(f97,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
=> parallel_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.OGlEKt7QFy/Vampire---4.8_3704',a3) ).
fof(f93,plain,
~ parallel_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
? [X0,X1] : ~ parallel_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1] : parallel_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X8,X5] : parallel_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X8,X5] : parallel_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
file('/export/starexec/sandbox/tmp/tmp.OGlEKt7QFy/Vampire---4.8_3704',con) ).
fof(f96,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox/tmp/tmp.OGlEKt7QFy/Vampire---4.8_3704',ooc1) ).
fof(f118,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.OGlEKt7QFy/Vampire---4.8_3704',apart3) ).
fof(f296,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f137,f261,f117]) ).
fof(f261,plain,
~ convergent_lines(sK1,orthogonal_through_point(sK1,sK0)),
inference(unit_resulting_resolution,[],[f96,f207,f106]) ).
fof(f207,plain,
~ unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),
inference(unit_resulting_resolution,[],[f96,f137,f170,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| unorthogonal_lines(X0,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,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,[],[f75]) ).
fof(f75,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,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) )
& ( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) )
=> ( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X5,X6,X7] :
( ( ( ~ unorthogonal_lines(X5,X7)
| ~ convergent_lines(X5,X7) )
& ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_lines(X5,X6) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.OGlEKt7QFy/Vampire---4.8_3704',cotno1) ).
fof(f137,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),
inference(unit_resulting_resolution,[],[f118,f133,f117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.14/0.36 % Computer : n020.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 18:55:32 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 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.OGlEKt7QFy/Vampire---4.8_3704
% 0.55/0.75 % (3927)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)
% 0.55/0.75 % (3929)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)
% 0.61/0.75 % (3929)Refutation not found, incomplete strategy% (3929)------------------------------
% 0.61/0.75 % (3929)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.75 % (3929)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75
% 0.61/0.75 % (3929)Memory used [KB]: 1095
% 0.61/0.75 % (3929)Time elapsed: 0.003 s
% 0.61/0.75 % (3929)Instructions burned: 2 (million)
% 0.61/0.75 % (3929)------------------------------
% 0.61/0.75 % (3929)------------------------------
% 0.61/0.76 % (3922)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)
% 0.61/0.76 % (3924)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (3926)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)
% 0.61/0.76 % (3925)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)
% 0.61/0.76 % (3923)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)
% 0.61/0.76 % (3922)Refutation not found, incomplete strategy% (3922)------------------------------
% 0.61/0.76 % (3922)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (3922)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (3922)Memory used [KB]: 1010
% 0.61/0.76 % (3922)Time elapsed: 0.003 s
% 0.61/0.76 % (3922)Instructions burned: 2 (million)
% 0.61/0.76 % (3922)------------------------------
% 0.61/0.76 % (3922)------------------------------
% 0.61/0.76 % (3925)Refutation not found, incomplete strategy% (3925)------------------------------
% 0.61/0.76 % (3925)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (3925)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (3925)Memory used [KB]: 1009
% 0.61/0.76 % (3925)Time elapsed: 0.004 s
% 0.61/0.76 % (3925)Instructions burned: 2 (million)
% 0.61/0.76 % (3925)------------------------------
% 0.61/0.76 % (3925)------------------------------
% 0.61/0.76 % (3926)Refutation not found, incomplete strategy% (3926)------------------------------
% 0.61/0.76 % (3926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (3926)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (3926)Memory used [KB]: 1091
% 0.61/0.76 % (3926)Time elapsed: 0.005 s
% 0.61/0.76 % (3926)Instructions burned: 3 (million)
% 0.61/0.76 % (3926)------------------------------
% 0.61/0.76 % (3926)------------------------------
% 0.61/0.76 % (3928)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)
% 0.61/0.76 % (3930)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)
% 0.61/0.76 % (3930)Refutation not found, incomplete strategy% (3930)------------------------------
% 0.61/0.76 % (3930)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (3930)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (3930)Memory used [KB]: 1009
% 0.61/0.76 % (3930)Time elapsed: 0.001 s
% 0.61/0.76 % (3930)Instructions burned: 2 (million)
% 0.61/0.76 % (3930)------------------------------
% 0.61/0.76 % (3930)------------------------------
% 0.61/0.76 % (3927)Refutation not found, incomplete strategy% (3927)------------------------------
% 0.61/0.76 % (3927)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (3927)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (3927)Memory used [KB]: 1097
% 0.61/0.76 % (3927)Time elapsed: 0.004 s
% 0.61/0.76 % (3927)Instructions burned: 2 (million)
% 0.61/0.76 % (3927)------------------------------
% 0.61/0.76 % (3927)------------------------------
% 0.61/0.76 % (3934)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)
% 0.61/0.76 % (3931)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)
% 0.61/0.76 % (3928)First to succeed.
% 0.61/0.76 % (3935)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.61/0.76 % (3933)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)
% 0.61/0.77 % (3928)Refutation found. Thanks to Tanya!
% 0.61/0.77 % SZS status Theorem for Vampire---4
% 0.61/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77 % (3928)------------------------------
% 0.61/0.77 % (3928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (3928)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (3928)Memory used [KB]: 1144
% 0.61/0.77 % (3928)Time elapsed: 0.008 s
% 0.61/0.77 % (3928)Instructions burned: 12 (million)
% 0.61/0.77 % (3928)------------------------------
% 0.61/0.77 % (3928)------------------------------
% 0.61/0.77 % (3913)Success in time 0.393 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------