TSTP Solution File: GEO118+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO118+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n008.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 02:22:06 EDT 2024
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 189 ( 11 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 232 ( 77 ~; 70 |; 70 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 134 ( 114 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f293,plain,
$false,
inference(subsumption_resolution,[],[f282,f151]) ).
fof(f151,plain,
ordered_by(sK0,sK2,sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ordered_by(sK0,sK2,sK1)
& ordered_by(sK0,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f57,f82]) ).
fof(f82,plain,
( ? [X0,X1,X2] :
( ordered_by(X0,X2,X1)
& ordered_by(X0,X1,X2) )
=> ( ordered_by(sK0,sK2,sK1)
& ordered_by(sK0,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1,X2] :
( ordered_by(X0,X2,X1)
& ordered_by(X0,X1,X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ! [X0,X1,X2] :
( ordered_by(X0,X1,X2)
=> ~ ordered_by(X0,X2,X1) ),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X8,X2,X4] :
( ordered_by(X8,X2,X4)
=> ~ ordered_by(X8,X4,X2) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X8,X2,X4] :
( ordered_by(X8,X2,X4)
=> ~ ordered_by(X8,X4,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.ag4kiix6V7/Vampire---4.8_30142',theorem_4_5) ).
fof(f282,plain,
~ ordered_by(sK0,sK2,sK1),
inference(resolution,[],[f279,f150]) ).
fof(f150,plain,
ordered_by(sK0,sK1,sK2),
inference(cnf_transformation,[],[f83]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X1) ),
inference(resolution,[],[f277,f166]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X3,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X2,X3)
| ( ( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X3,X2) )
& ( ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ) ) )
& ( ( ordered_by(X0,X2,X1)
& ordered_by(X0,X3,X2) )
| ( ordered_by(X0,X2,X3)
& ordered_by(X0,X1,X2) )
| ~ between_o(X0,X1,X2,X3) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X2,X3)
| ( ( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X3,X2) )
& ( ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ) ) )
& ( ( ordered_by(X0,X2,X1)
& ordered_by(X0,X3,X2) )
| ( ordered_by(X0,X2,X3)
& ordered_by(X0,X1,X2) )
| ~ between_o(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( between_o(X0,X1,X2,X3)
<=> ( ( ordered_by(X0,X2,X1)
& ordered_by(X0,X3,X2) )
| ( ordered_by(X0,X2,X3)
& ordered_by(X0,X1,X2) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X8,X2,X4,X6] :
( between_o(X8,X2,X4,X6)
<=> ( ( ordered_by(X8,X4,X2)
& ordered_by(X8,X6,X4) )
| ( ordered_by(X8,X4,X6)
& ordered_by(X8,X2,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ag4kiix6V7/Vampire---4.8_30142',between_o_defn) ).
fof(f277,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f181,f230]) ).
fof(f230,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f185]) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( inner_point(X2,sK13(X0,X1,X2,X3))
& end_point(X3,sK13(X0,X1,X2,X3))
& end_point(X1,sK13(X0,X1,X2,X3))
& part_of(sK13(X0,X1,X2,X3),X0)
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f115,f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
=> ( inner_point(X2,sK13(X0,X1,X2,X3))
& end_point(X3,sK13(X0,X1,X2,X3))
& end_point(X1,sK13(X0,X1,X2,X3))
& part_of(sK13(X0,X1,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
<=> ( ? [X7] :
( inner_point(X4,X7)
& end_point(X6,X7)
& end_point(X2,X7)
& part_of(X7,X0) )
& X2 != X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ag4kiix6V7/Vampire---4.8_30142',between_c_defn) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( between_c(sK11(X0,X1,X2,X3),X0,X1,X2)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ~ between_c(X4,X0,X1,X2)
| ( ( ~ incident_c(sK10(X3,X4),X4)
| ~ incident_o(sK10(X3,X4),X3) )
& ( incident_c(sK10(X3,X4),X4)
| incident_o(sK10(X3,X4),X3) ) ) ) )
& ( ( between_c(sK11(X0,X1,X2,X3),X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,sK11(X0,X1,X2,X3)) )
& ( incident_c(X7,sK11(X0,X1,X2,X3))
| ~ incident_o(X7,X3) ) ) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f107,f109,f108]) ).
fof(f108,plain,
! [X3,X4] :
( ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) )
=> ( ( ~ incident_c(sK10(X3,X4),X4)
| ~ incident_o(sK10(X3,X4),X3) )
& ( incident_c(sK10(X3,X4),X4)
| incident_o(sK10(X3,X4),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( between_c(X6,X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,X6) )
& ( incident_c(X7,X6)
| ~ incident_o(X7,X3) ) ) )
=> ( between_c(sK11(X0,X1,X2,X3),X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,sK11(X0,X1,X2,X3)) )
& ( incident_c(X7,sK11(X0,X1,X2,X3))
| ~ incident_o(X7,X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ~ between_c(X4,X0,X1,X2)
| ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) ) ) )
& ( ? [X6] :
( between_c(X6,X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,X6) )
& ( incident_c(X7,X6)
| ~ incident_o(X7,X3) ) ) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ~ between_c(X4,X0,X1,X2)
| ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) ) ) )
& ( ? [X4] :
( between_c(X4,X0,X1,X2)
& ! [X5] :
( ( incident_o(X5,X3)
| ~ incident_c(X5,X4) )
& ( incident_c(X5,X4)
| ~ incident_o(X5,X3) ) ) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( between_o(X3,X0,X1,X2)
<=> ? [X4] :
( between_c(X4,X0,X1,X2)
& ! [X5] :
( incident_o(X5,X3)
<=> incident_c(X5,X4) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X2,X4,X6,X8] :
( between_o(X8,X2,X4,X6)
<=> ? [X0] :
( between_c(X0,X2,X4,X6)
& ! [X2] :
( incident_o(X2,X8)
<=> incident_c(X2,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ag4kiix6V7/Vampire---4.8_30142',o3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO118+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n008.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 18:57:43 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.ag4kiix6V7/Vampire---4.8_30142
% 0.61/0.78 % (30313)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78 % (30317)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)
% 0.61/0.78 % (30311)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)
% 0.61/0.78 % (30317)Refutation not found, incomplete strategy% (30317)------------------------------
% 0.61/0.78 % (30317)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (30317)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (30317)Memory used [KB]: 1047
% 0.61/0.78 % (30317)Time elapsed: 0.003 s
% 0.61/0.78 % (30317)Instructions burned: 2 (million)
% 0.61/0.78 % (30317)------------------------------
% 0.61/0.78 % (30317)------------------------------
% 0.61/0.78 % (30314)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)
% 0.61/0.78 % (30316)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)
% 0.61/0.78 % (30312)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)
% 0.61/0.78 % (30315)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)
% 0.61/0.78 % (30318)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)
% 0.61/0.78 % (30311)Refutation not found, incomplete strategy% (30311)------------------------------
% 0.61/0.78 % (30311)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (30311)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (30311)Memory used [KB]: 1061
% 0.61/0.78 % (30311)Time elapsed: 0.004 s
% 0.61/0.78 % (30311)Instructions burned: 2 (million)
% 0.61/0.78 % (30311)------------------------------
% 0.61/0.78 % (30311)------------------------------
% 0.61/0.78 % (30316)Refutation not found, incomplete strategy% (30316)------------------------------
% 0.61/0.78 % (30316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (30316)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (30316)Memory used [KB]: 1047
% 0.61/0.78 % (30316)Time elapsed: 0.004 s
% 0.61/0.78 % (30316)Instructions burned: 2 (million)
% 0.61/0.78 % (30316)------------------------------
% 0.61/0.78 % (30316)------------------------------
% 0.61/0.78 % (30318)Refutation not found, incomplete strategy% (30318)------------------------------
% 0.61/0.78 % (30318)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (30314)Refutation not found, incomplete strategy% (30314)------------------------------
% 0.61/0.78 % (30314)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (30318)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (30318)Memory used [KB]: 1044
% 0.61/0.78 % (30318)Time elapsed: 0.004 s
% 0.61/0.78 % (30318)Instructions burned: 2 (million)
% 0.61/0.78 % (30318)------------------------------
% 0.61/0.78 % (30318)------------------------------
% 0.61/0.78 % (30314)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (30314)Memory used [KB]: 1049
% 0.61/0.78 % (30314)Time elapsed: 0.005 s
% 0.61/0.78 % (30314)Instructions burned: 2 (million)
% 0.61/0.78 % (30314)------------------------------
% 0.61/0.78 % (30314)------------------------------
% 0.61/0.79 % (30319)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)
% 0.61/0.79 % (30313)First to succeed.
% 0.61/0.79 % (30319)Refutation not found, incomplete strategy% (30319)------------------------------
% 0.61/0.79 % (30319)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (30319)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (30319)Memory used [KB]: 1049
% 0.61/0.79 % (30319)Time elapsed: 0.003 s
% 0.61/0.79 % (30319)Instructions burned: 2 (million)
% 0.61/0.79 % (30319)------------------------------
% 0.61/0.79 % (30319)------------------------------
% 0.61/0.79 % (30315)Refutation not found, incomplete strategy% (30315)------------------------------
% 0.61/0.79 % (30315)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (30315)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (30315)Memory used [KB]: 1148
% 0.61/0.79 % (30315)Time elapsed: 0.009 s
% 0.61/0.79 % (30315)Instructions burned: 6 (million)
% 0.61/0.79 % (30315)------------------------------
% 0.61/0.79 % (30315)------------------------------
% 0.61/0.79 % (30313)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Theorem for Vampire---4
% 0.61/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (30313)------------------------------
% 0.61/0.79 % (30313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (30313)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (30313)Memory used [KB]: 1181
% 0.61/0.79 % (30313)Time elapsed: 0.010 s
% 0.61/0.79 % (30313)Instructions burned: 13 (million)
% 0.61/0.79 % (30313)------------------------------
% 0.61/0.79 % (30313)------------------------------
% 0.61/0.79 % (30289)Success in time 0.419 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------