TSTP Solution File: SET858-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET858-1 : 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 : n018.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 03:49:18 EDT 2024
% Result : Unsatisfiable 0.67s 0.84s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 73 ( 4 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 89 ( 38 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1415,plain,
$false,
inference(subsumption_resolution,[],[f1412,f1367]) ).
fof(f1367,axiom,
~ c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_conjecture_2) ).
fof(f1412,plain,
c_lessequals(v_n,v_m,tc_set(tc_set(t_a))),
inference(resolution,[],[f1407,f1372]) ).
fof(f1372,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Osucc(X3,X0,X2),X1,tc_set(tc_set(X2)))
| c_lessequals(X0,X1,tc_set(tc_set(X2))) ),
inference(resolution,[],[f1358,f1359]) ).
fof(f1359,axiom,
! [X40,X2,X0] : c_lessequals(X0,c_Zorn_Osucc(X40,X0,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_Zorn_OAbrial__axiom1_0) ).
fof(f1358,axiom,
! [X2,X36,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_lessequals(X13,X36,tc_set(X2))
| ~ c_lessequals(X15,X36,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_Set_Osubset__trans_0) ).
fof(f1407,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a))),
inference(subsumption_resolution,[],[f1404,f1366]) ).
fof(f1366,axiom,
c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_conjecture_1) ).
fof(f1404,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1400,f1368]) ).
fof(f1368,axiom,
~ c_lessequals(v_m,v_n,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_conjecture_3) ).
fof(f1400,plain,
! [X0] :
( c_lessequals(v_m,X0,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,X0,t_a),v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1394,f1365]) ).
fof(f1365,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_conjecture_0) ).
fof(f1394,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| c_lessequals(X0,X1,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f1393,f1360]) ).
fof(f1360,axiom,
! [X40,X2,X18,X12] :
( c_in(c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_Zorn_OTFin__linear__lemma1_0) ).
fof(f1393,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f1392,f1361]) ).
fof(f1361,axiom,
! [X40,X2,X18,X12] :
( c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2),X12,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_Zorn_OTFin__linear__lemma1_1) ).
fof(f1392,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),X1,tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(subsumption_resolution,[],[f1391,f1362]) ).
fof(f1362,axiom,
! [X40,X2,X18,X12] :
( c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2) != X12
| c_lessequals(X18,X12,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_Zorn_OTFin__linear__lemma1_2) ).
fof(f1391,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2) = X1
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),X1,tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(duplicate_literal_removal,[],[f1390]) ).
fof(f1390,plain,
! [X2,X3,X0,X1] :
( c_lessequals(X0,X1,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X3,X1,X2),X0,tc_set(tc_set(X2)))
| ~ c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2) = X1
| ~ c_lessequals(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),X1,tc_set(tc_set(X2)))
| ~ c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))
| ~ c_in(c_Zorn_OTFin__linear__lemma1__1(X3,X1,X2),c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f1363,f1364]) ).
fof(f1364,axiom,
! [X40,X2,X41,X12] :
( c_lessequals(c_Zorn_Osucc(X40,X41,X2),X12,tc_set(tc_set(X2)))
| X12 = X41
| ~ c_lessequals(X41,X12,tc_set(tc_set(X2)))
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X41,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_Zorn_OTFin__linear__lemma2_0) ).
fof(f1363,axiom,
! [X40,X2,X18,X12] :
( ~ c_lessequals(c_Zorn_Osucc(X40,c_Zorn_OTFin__linear__lemma1__1(X40,X12,X2),X2),X12,tc_set(tc_set(X2)))
| c_lessequals(X18,X12,tc_set(tc_set(X2)))
| c_lessequals(c_Zorn_Osucc(X40,X12,X2),X18,tc_set(tc_set(X2)))
| ~ c_in(X18,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
| ~ c_in(X12,c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.bmXLou9Px3/Vampire---4.8_30252',cls_Zorn_OTFin__linear__lemma1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SET858-1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.12 % 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
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 17:26:58 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.32 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.bmXLou9Px3/Vampire---4.8_30252
% 0.67/0.83 % (30364)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.67/0.83 % (30361)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 (2994ds/34Mi)
% 0.67/0.83 % (30366)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.67/0.84 % (30365)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 (2994ds/34Mi)
% 0.67/0.84 % (30362)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 (2994ds/51Mi)
% 0.67/0.84 % (30363)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.67/0.84 % (30367)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 (2994ds/83Mi)
% 0.67/0.84 % (30368)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 (2994ds/56Mi)
% 0.67/0.84 % (30364)Refutation not found, incomplete strategy% (30364)------------------------------
% 0.67/0.84 % (30364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.84 % (30364)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.84
% 0.67/0.84 % (30364)Memory used [KB]: 1732
% 0.67/0.84 % (30364)Time elapsed: 0.004 s
% 0.67/0.84 % (30364)Instructions burned: 5 (million)
% 0.67/0.84 % (30364)------------------------------
% 0.67/0.84 % (30364)------------------------------
% 0.67/0.84 % (30363)First to succeed.
% 0.67/0.84 % (30369)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 (2994ds/55Mi)
% 0.67/0.84 % (30363)Refutation found. Thanks to Tanya!
% 0.67/0.84 % SZS status Unsatisfiable for Vampire---4
% 0.67/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.84 % (30363)------------------------------
% 0.67/0.84 % (30363)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.84 % (30363)Termination reason: Refutation
% 0.67/0.84
% 0.67/0.84 % (30363)Memory used [KB]: 1835
% 0.67/0.84 % (30363)Time elapsed: 0.009 s
% 0.67/0.84 % (30363)Instructions burned: 13 (million)
% 0.67/0.84 % (30363)------------------------------
% 0.67/0.84 % (30363)------------------------------
% 0.67/0.84 % (30360)Success in time 0.516 s
% 0.67/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------