TSTP Solution File: SET843-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET843-2 : 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 : n014.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 09:08:46 EDT 2024
% Result : Unsatisfiable 0.57s 0.79s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 62 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 58 ( 27 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f20,f41,f63]) ).
fof(f63,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f62,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f61,f52]) ).
fof(f52,plain,
( ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| spl0_2 ),
inference(unit_resulting_resolution,[],[f4,f18,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_Set_Osubset__antisym_0) ).
fof(f18,plain,
( v_m != c_Zorn_Osucc(v_S,v_m,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_2
<=> v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f4,axiom,
! [X2,X3,X4] : c_lessequals(X3,c_Zorn_Osucc(X4,X3,X2),tc_set(tc_set(X2))),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_Zorn_OAbrial__axiom1_0) ).
fof(f61,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a)))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f59,f13]) ).
fof(f13,plain,
( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_1
<=> v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f59,plain,
c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f23,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_Set_OUnion__upper_0) ).
fof(f23,plain,
c_in(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f8,f5]) ).
fof(f5,axiom,
! [X2,X3,X4] :
( c_in(c_Zorn_Osucc(X4,X3,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_Zorn_OTFin_OsuccI_0) ).
fof(f8,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_conjecture_0) ).
fof(f41,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f40]) ).
fof(f40,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f36,f3]) ).
fof(f3,axiom,
! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_Set_Osubset__refl_0) ).
fof(f36,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
| ~ spl0_2 ),
inference(resolution,[],[f33,f6]) ).
fof(f6,axiom,
! [X2,X4,X5] :
( c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(X5,c_Zorn_OTFin(X4,X2),tc_set(tc_set(tc_set(X2)))) ),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_Zorn_OTFin__UnionI_0) ).
fof(f33,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
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f17,f8,f31,f7]) ).
fof(f7,axiom,
! [X2,X6,X7,X4] :
( ~ c_in(X6,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X4,X6,X2) != X6
| ~ c_in(X7,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
| c_lessequals(X7,X6,tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_Zorn_Oeq__succ__upper_0) ).
fof(f31,plain,
( ~ c_lessequals(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| spl0_1 ),
inference(unit_resulting_resolution,[],[f14,f26,f2]) ).
fof(f26,plain,
c_lessequals(v_m,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
inference(unit_resulting_resolution,[],[f8,f1]) ).
fof(f14,plain,
( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f17,plain,
( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f20,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f10,f12,f16]) ).
fof(f10,axiom,
( v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
| v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_conjecture_2) ).
fof(f19,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f9,f16,f12]) ).
fof(f9,axiom,
( v_m != c_Zorn_Osucc(v_S,v_m,t_a)
| v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
file('/export/starexec/sandbox2/tmp/tmp.YgSgTa9nOK/Vampire---4.8_15192',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % 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
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 16:57:53 EDT 2024
% 0.18/0.33 % CPUTime :
% 0.18/0.33 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.18/0.33 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.YgSgTa9nOK/Vampire---4.8_15192
% 0.57/0.79 % (15301)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)
% 0.57/0.79 % (15304)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)
% 0.57/0.79 % (15305)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)
% 0.57/0.79 % (15303)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)
% 0.57/0.79 % (15300)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)
% 0.57/0.79 % (15302)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.79 % (15306)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)
% 0.57/0.79 % (15307)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)
% 0.57/0.79 % (15304)Refutation not found, incomplete strategy% (15304)------------------------------
% 0.57/0.79 % (15304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (15304)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (15304)Memory used [KB]: 971
% 0.57/0.79 % (15307)Refutation not found, incomplete strategy% (15307)------------------------------
% 0.57/0.79 % (15307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (15304)Time elapsed: 0.003 s
% 0.57/0.79 % (15304)Instructions burned: 2 (million)
% 0.57/0.79 % (15307)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (15307)Memory used [KB]: 955
% 0.57/0.79 % (15307)Time elapsed: 0.002 s
% 0.57/0.79 % (15307)Instructions burned: 2 (million)
% 0.57/0.79 % (15304)------------------------------
% 0.57/0.79 % (15304)------------------------------
% 0.57/0.79 % (15305)Refutation not found, incomplete strategy% (15305)------------------------------
% 0.57/0.79 % (15305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (15305)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (15305)Memory used [KB]: 971
% 0.57/0.79 % (15305)Time elapsed: 0.003 s
% 0.57/0.79 % (15305)Instructions burned: 3 (million)
% 0.57/0.79 % (15307)------------------------------
% 0.57/0.79 % (15307)------------------------------
% 0.57/0.79 % (15303)Refutation not found, incomplete strategy% (15303)------------------------------
% 0.57/0.79 % (15303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (15303)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.79
% 0.57/0.79 % (15303)Memory used [KB]: 972
% 0.57/0.79 % (15303)Time elapsed: 0.003 s
% 0.57/0.79 % (15303)Instructions burned: 3 (million)
% 0.57/0.79 % (15305)------------------------------
% 0.57/0.79 % (15305)------------------------------
% 0.57/0.79 % (15303)------------------------------
% 0.57/0.79 % (15303)------------------------------
% 0.57/0.79 % (15306)First to succeed.
% 0.57/0.79 % (15306)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15299"
% 0.57/0.79 % (15302)Also succeeded, but the first one will report.
% 0.57/0.79 % (15306)Refutation found. Thanks to Tanya!
% 0.57/0.79 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.79 % (15306)------------------------------
% 0.57/0.79 % (15306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.79 % (15306)Termination reason: Refutation
% 0.57/0.79
% 0.57/0.79 % (15306)Memory used [KB]: 1003
% 0.57/0.79 % (15306)Time elapsed: 0.004 s
% 0.57/0.79 % (15306)Instructions burned: 5 (million)
% 0.57/0.79 % (15299)Success in time 0.455 s
% 0.57/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------