TSTP Solution File: NUM390+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM390+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n023.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 08:11:36 EDT 2024
% Result : Theorem 0.61s 0.77s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 161 ( 6 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 168 ( 54 ~; 37 |; 55 &)
% ( 3 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 76 ( 58 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f461,plain,
$false,
inference(subsumption_resolution,[],[f426,f209]) ).
fof(f209,plain,
~ in(sK14,sK13),
inference(unit_resulting_resolution,[],[f158,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
~ ( subset(X1,X0)
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.GOnQ8GKcP1/Vampire---4.8_7552',t7_ordinal1) ).
fof(f158,plain,
subset(sK13,sK14),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( ~ in(sK13,sK15)
& in(sK14,sK15)
& subset(sK13,sK14)
& ordinal(sK15)
& ordinal(sK14)
& epsilon_transitive(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f67,f107,f106,f105]) ).
fof(f105,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ in(X0,X2)
& in(X1,X2)
& subset(X0,X1)
& ordinal(X2) )
& ordinal(X1) )
& epsilon_transitive(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ in(sK13,X2)
& in(X1,X2)
& subset(sK13,X1)
& ordinal(X2) )
& ordinal(X1) )
& epsilon_transitive(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
( ? [X1] :
( ? [X2] :
( ~ in(sK13,X2)
& in(X1,X2)
& subset(sK13,X1)
& ordinal(X2) )
& ordinal(X1) )
=> ( ? [X2] :
( ~ in(sK13,X2)
& in(sK14,X2)
& subset(sK13,sK14)
& ordinal(X2) )
& ordinal(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
( ? [X2] :
( ~ in(sK13,X2)
& in(sK14,X2)
& subset(sK13,sK14)
& ordinal(X2) )
=> ( ~ in(sK13,sK15)
& in(sK14,sK15)
& subset(sK13,sK14)
& ordinal(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ in(X0,X2)
& in(X1,X2)
& subset(X0,X1)
& ordinal(X2) )
& ordinal(X1) )
& epsilon_transitive(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ in(X0,X2)
& in(X1,X2)
& subset(X0,X1)
& ordinal(X2) )
& ordinal(X1) )
& epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ( ( in(X1,X2)
& subset(X0,X1) )
=> in(X0,X2) ) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ( ( in(X1,X2)
& subset(X0,X1) )
=> in(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GOnQ8GKcP1/Vampire---4.8_7552',t22_ordinal1) ).
fof(f426,plain,
in(sK14,sK13),
inference(backward_demodulation,[],[f159,f424]) ).
fof(f424,plain,
sK13 = sK15,
inference(unit_resulting_resolution,[],[f348,f421,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( X0 != X1
& subset(X0,X1) )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( X0 != X1
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GOnQ8GKcP1/Vampire---4.8_7552',d8_xboole_0) ).
fof(f421,plain,
~ proper_subset(sK13,sK15),
inference(unit_resulting_resolution,[],[f155,f157,f160,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GOnQ8GKcP1/Vampire---4.8_7552',t21_ordinal1) ).
fof(f160,plain,
~ in(sK13,sK15),
inference(cnf_transformation,[],[f108]) ).
fof(f157,plain,
ordinal(sK15),
inference(cnf_transformation,[],[f108]) ).
fof(f155,plain,
epsilon_transitive(sK13),
inference(cnf_transformation,[],[f108]) ).
fof(f348,plain,
subset(sK13,sK15),
inference(unit_resulting_resolution,[],[f221,f158,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.GOnQ8GKcP1/Vampire---4.8_7552',t1_xboole_1) ).
fof(f221,plain,
subset(sK14,sK15),
inference(unit_resulting_resolution,[],[f177,f159,f119]) ).
fof(f119,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f78,f79]) ).
fof(f79,plain,
! [X0] :
( ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) )
=> ( ~ subset(sK0(X0),X0)
& in(sK0(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GOnQ8GKcP1/Vampire---4.8_7552',d2_ordinal1) ).
fof(f177,plain,
epsilon_transitive(sK15),
inference(unit_resulting_resolution,[],[f157,f113]) ).
fof(f113,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ( epsilon_connected(X0)
& epsilon_transitive(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_connected(X0)
& epsilon_transitive(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GOnQ8GKcP1/Vampire---4.8_7552',cc1_ordinal1) ).
fof(f159,plain,
in(sK14,sK15),
inference(cnf_transformation,[],[f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM390+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % 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
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 14:37:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.GOnQ8GKcP1/Vampire---4.8_7552
% 0.61/0.76 % (7666)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)
% 0.61/0.76 % (7661)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)
% 0.61/0.76 % (7663)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.76 % (7667)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)
% 0.61/0.76 % (7662)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)
% 0.61/0.76 % (7668)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)
% 0.61/0.76 % (7665)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)
% 0.61/0.76 % (7664)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)
% 0.61/0.76 % (7666)Refutation not found, incomplete strategy% (7666)------------------------------
% 0.61/0.76 % (7666)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (7666)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (7666)Memory used [KB]: 972
% 0.61/0.76 % (7666)Time elapsed: 0.003 s
% 0.61/0.76 % (7666)Instructions burned: 2 (million)
% 0.61/0.76 % (7668)Refutation not found, incomplete strategy% (7668)------------------------------
% 0.61/0.76 % (7668)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (7668)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (7668)Memory used [KB]: 972
% 0.61/0.76 % (7668)Time elapsed: 0.002 s
% 0.61/0.76 % (7668)Instructions burned: 2 (million)
% 0.61/0.76 % (7666)------------------------------
% 0.61/0.76 % (7666)------------------------------
% 0.61/0.76 % (7668)------------------------------
% 0.61/0.76 % (7668)------------------------------
% 0.61/0.77 % (7667)Refutation not found, incomplete strategy% (7667)------------------------------
% 0.61/0.77 % (7667)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (7667)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (7667)Memory used [KB]: 1063
% 0.61/0.77 % (7667)Time elapsed: 0.006 s
% 0.61/0.77 % (7667)Instructions burned: 6 (million)
% 0.61/0.77 % (7669)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)
% 0.61/0.77 % (7670)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 (2995ds/50Mi)
% 0.61/0.77 % (7667)------------------------------
% 0.61/0.77 % (7667)------------------------------
% 0.61/0.77 % (7671)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.77 % (7671)Refutation not found, incomplete strategy% (7671)------------------------------
% 0.61/0.77 % (7671)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (7671)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (7671)Memory used [KB]: 977
% 0.61/0.77 % (7671)Time elapsed: 0.003 s
% 0.61/0.77 % (7671)Instructions burned: 3 (million)
% 0.61/0.77 % (7671)------------------------------
% 0.61/0.77 % (7671)------------------------------
% 0.61/0.77 % (7669)First to succeed.
% 0.61/0.77 % (7669)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7660"
% 0.61/0.77 % (7669)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 % (7669)------------------------------
% 0.61/0.77 % (7669)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (7669)Termination reason: Refutation
% 0.61/0.77
% 0.61/0.77 % (7669)Memory used [KB]: 1157
% 0.61/0.77 % (7669)Time elapsed: 0.008 s
% 0.61/0.77 % (7669)Instructions burned: 13 (million)
% 0.61/0.77 % (7660)Success in time 0.432 s
% 0.61/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------