TSTP Solution File: SET847-2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET847-2 : 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 : n013.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 03:49:14 EDT 2024
% Result : Unsatisfiable 0.67s 0.86s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 38 ( 10 unt; 0 def)
% Number of atoms : 71 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 31 ~; 29 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(avatar_sat_refutation,[],[f40,f50,f53,f55,f58]) ).
fof(f58,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f56,f6]) ).
fof(f6,axiom,
! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Set_Osubset__refl_0) ).
fof(f56,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| spl0_1 ),
inference(resolution,[],[f35,f7]) ).
fof(f7,axiom,
! [X2,X6,X5] :
( c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X5,c_Zorn_OTFin(X6,X2),tc_set(tc_set(tc_set(X2)))) ),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Zorn_OTFin__UnionI_0) ).
fof(f35,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_1
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f55,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f54,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f49,f2]) ).
fof(f2,axiom,
! [X2,X4] : ~ c_in(X4,c_emptyset,X2),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Set_OemptyE_0) ).
fof(f49,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_4
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f53,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| spl0_3 ),
inference(resolution,[],[f51,f6]) ).
fof(f51,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| spl0_3 ),
inference(resolution,[],[f45,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( c_in(c_Union(X0,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2)))) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
! [X2,X0,X6] :
( ~ c_in(X0,c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X6,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Zorn_OTFin__chain__lemma4_0) ).
fof(f45,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_3
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f50,plain,
( ~ spl0_3
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f41,f37,f47,f43]) ).
fof(f37,plain,
( spl0_2
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f41,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a)))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_2 ),
inference(resolution,[],[f39,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
| c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Set_ODiffI_0) ).
fof(f39,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f31,f37,f33]) ).
fof(f31,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_minus(c_Zorn_Ochain(v_S,t_a),c_emptyset,tc_set(tc_set(tc_set(t_a)))),tc_set(tc_set(t_a)))
| ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(superposition,[],[f29,f18]) ).
fof(f18,plain,
c_emptyset = c_Zorn_Omaxchain(v_S,t_a),
inference(resolution,[],[f16,f3]) ).
fof(f3,axiom,
! [X2,X1] : c_lessequals(c_emptyset,X1,tc_set(X2)),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Set_Oempty__subsetI_0) ).
fof(f16,plain,
! [X0] :
( ~ c_lessequals(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| c_Zorn_Omaxchain(v_S,t_a) = X0 ),
inference(resolution,[],[f5,f12]) ).
fof(f12,plain,
! [X0] : c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))),
inference(resolution,[],[f4,f11]) ).
fof(f11,axiom,
! [X7] : ~ c_in(X7,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_conjecture_0) ).
fof(f4,axiom,
! [X2,X3,X1] :
( c_in(c_Main_OsubsetI__1(X1,X3,X2),X1,X2)
| c_lessequals(X1,X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Set_OsubsetI_0) ).
fof(f5,axiom,
! [X2,X3,X1] :
( ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X1,X3,tc_set(X2))
| X1 = X3 ),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Set_Osubset__antisym_0) ).
fof(f29,plain,
! [X0,X1] :
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1)))
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))) ),
inference(trivial_inequality_removal,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) != c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1)))
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))) ),
inference(superposition,[],[f10,f9]) ).
fof(f9,axiom,
! [X2,X6] :
( c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)) = c_Zorn_Osucc(X6,c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)),X2)
| ~ c_in(c_Union(c_Zorn_OTFin(X6,X2),tc_set(X2)),c_Zorn_OTFin(X6,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Zorn_Oequal__succ__Union_1) ).
fof(f10,axiom,
! [X2,X0,X6] :
( c_Zorn_Osucc(X6,X0,X2) != X0
| ~ c_in(X0,c_minus(c_Zorn_Ochain(X6,X2),c_Zorn_Omaxchain(X6,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.wk9ImlnkOk/Vampire---4.8_25664',cls_Zorn_Osucc__not__equals_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n013.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 17:07:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.22/0.37 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.wk9ImlnkOk/Vampire---4.8_25664
% 0.67/0.85 % (25908)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)
% 0.67/0.85 % (25912)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)
% 0.67/0.85 % (25908)Refutation not found, incomplete strategy% (25908)------------------------------
% 0.67/0.85 % (25908)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (25908)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85
% 0.67/0.85 % (25908)Memory used [KB]: 945
% 0.67/0.85 % (25908)Time elapsed: 0.002 s
% 0.67/0.85 % (25908)Instructions burned: 2 (million)
% 0.67/0.85 % (25908)------------------------------
% 0.67/0.85 % (25908)------------------------------
% 0.67/0.85 % (25912)Refutation not found, incomplete strategy% (25912)------------------------------
% 0.67/0.85 % (25912)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (25912)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85
% 0.67/0.85 % (25912)Memory used [KB]: 951
% 0.67/0.85 % (25912)Time elapsed: 0.002 s
% 0.67/0.85 % (25912)Instructions burned: 2 (million)
% 0.67/0.85 % (25912)------------------------------
% 0.67/0.85 % (25912)------------------------------
% 0.67/0.85 % (25906)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)
% 0.67/0.85 % (25905)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)
% 0.67/0.85 % (25907)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.67/0.85 % (25909)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)
% 0.67/0.85 % (25910)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)
% 0.67/0.85 % (25911)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)
% 0.67/0.85 % (25905)Refutation not found, incomplete strategy% (25905)------------------------------
% 0.67/0.85 % (25905)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (25905)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85
% 0.67/0.85 % (25905)Memory used [KB]: 945
% 0.67/0.85 % (25905)Time elapsed: 0.003 s
% 0.67/0.85 % (25905)Instructions burned: 2 (million)
% 0.67/0.85 % (25905)------------------------------
% 0.67/0.85 % (25905)------------------------------
% 0.67/0.85 % (25909)Refutation not found, incomplete strategy% (25909)------------------------------
% 0.67/0.85 % (25909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (25909)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.85
% 0.67/0.85 % (25910)Refutation not found, incomplete strategy% (25910)------------------------------
% 0.67/0.85 % (25910)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.85 % (25909)Memory used [KB]: 954
% 0.67/0.85 % (25909)Time elapsed: 0.004 s
% 0.67/0.85 % (25909)Instructions burned: 2 (million)
% 0.67/0.86 % (25909)------------------------------
% 0.67/0.86 % (25909)------------------------------
% 0.67/0.86 % (25910)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.86
% 0.67/0.86 % (25910)Memory used [KB]: 951
% 0.67/0.86 % (25910)Time elapsed: 0.004 s
% 0.67/0.86 % (25910)Instructions burned: 2 (million)
% 0.67/0.86 % (25910)------------------------------
% 0.67/0.86 % (25910)------------------------------
% 0.67/0.86 % (25911)Refutation not found, incomplete strategy% (25911)------------------------------
% 0.67/0.86 % (25911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.86 % (25911)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.86
% 0.67/0.86 % (25911)Memory used [KB]: 952
% 0.67/0.86 % (25911)Time elapsed: 0.004 s
% 0.67/0.86 % (25911)Instructions burned: 2 (million)
% 0.67/0.86 % (25911)------------------------------
% 0.67/0.86 % (25911)------------------------------
% 0.67/0.86 % (25906)First to succeed.
% 0.67/0.86 % (25914)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)
% 0.67/0.86 % (25915)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)
% 0.67/0.86 % (25907)Also succeeded, but the first one will report.
% 0.67/0.86 % (25906)Refutation found. Thanks to Tanya!
% 0.67/0.86 % SZS status Unsatisfiable for Vampire---4
% 0.67/0.86 % SZS output start Proof for Vampire---4
% See solution above
% 0.73/0.86 % (25906)------------------------------
% 0.73/0.86 % (25906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.73/0.86 % (25906)Termination reason: Refutation
% 0.73/0.86
% 0.73/0.86 % (25906)Memory used [KB]: 1060
% 0.73/0.86 % (25906)Time elapsed: 0.006 s
% 0.73/0.86 % (25906)Instructions burned: 5 (million)
% 0.73/0.86 % (25906)------------------------------
% 0.73/0.86 % (25906)------------------------------
% 0.73/0.86 % (25869)Success in time 0.482 s
% 0.73/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------