TSTP Solution File: SET865-2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET865-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 09:08:55 EDT 2024
% Result : Unsatisfiable 0.58s 0.73s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 40 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 27 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,plain,
$false,
inference(resolution,[],[f30,f13]) ).
fof(f13,plain,
c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(resolution,[],[f12,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ c_in(X0,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(X0,t_a),v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_conjecture_0) ).
fof(f12,plain,
! [X0,X1] : c_in(c_Zorn_OHausdorff__1(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1))),
inference(resolution,[],[f10,f6]) ).
fof(f6,axiom,
! [X3,X5] : c_in(c_Zorn_OHausdorff__1(X5,X3),c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3))),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_Zorn_OHausdorff_0) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X3,X5] : c_lessequals(c_Zorn_Omaxchain(X5,X3),c_Zorn_Ochain(X5,X3),tc_set(tc_set(tc_set(X3)))),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,X4,tc_set(X3))
| c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_Set_OsubsetD_0) ).
fof(f30,plain,
~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f27,plain,
( ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(v_S,t_a),t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f23,f2]) ).
fof(f2,axiom,
! [X0] :
( c_in(v_x(X0),v_S,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_conjecture_1) ).
fof(f23,plain,
! [X0] :
( ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
inference(trivial_inequality_removal,[],[f22]) ).
fof(f22,plain,
! [X0] :
( c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) != c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f21,plain,
! [X0] :
( c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) != c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a))
| ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
inference(superposition,[],[f4,f16]) ).
fof(f16,plain,
! [X0] :
( c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a) = v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a))
| ~ c_in(v_x(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a)),X0,tc_set(t_a))
| ~ c_in(c_Union(c_Zorn_OHausdorff__1(X0,t_a),t_a),v_S,tc_set(t_a)) ),
inference(resolution,[],[f15,f3]) ).
fof(f3,axiom,
! [X0] :
( c_lessequals(X0,v_x(X0),tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_conjecture_2) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Union(c_Zorn_OHausdorff__1(X0,X1),X1),X2,tc_set(X1))
| c_Union(c_Zorn_OHausdorff__1(X0,X1),X1) = X2
| ~ c_in(X2,X0,tc_set(X1)) ),
inference(resolution,[],[f7,f6]) ).
fof(f7,axiom,
! [X3,X1,X6,X5] :
( ~ c_in(X1,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Union(X1,X3),X6,tc_set(X3))
| c_Union(X1,X3) = X6
| ~ c_in(X6,X5,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_Zorn_Omaxchain__Zorn_0) ).
fof(f4,axiom,
! [X0] :
( v_x(X0) != X0
| ~ c_in(X0,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208',cls_conjecture_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n002.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri May 3 16:20:07 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.nHsOZHwEWL/Vampire---4.8_8208
% 0.58/0.72 % (8323)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 (2996ds/56Mi)
% 0.58/0.73 % (8323)Refutation not found, incomplete strategy% (8323)------------------------------
% 0.58/0.73 % (8323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (8323)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73
% 0.58/0.73 % (8323)Memory used [KB]: 951
% 0.58/0.73 % (8323)Time elapsed: 0.002 s
% 0.58/0.73 % (8323)Instructions burned: 2 (million)
% 0.58/0.73 % (8323)------------------------------
% 0.58/0.73 % (8323)------------------------------
% 0.58/0.73 % (8316)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 (2996ds/34Mi)
% 0.58/0.73 % (8318)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.73 % (8317)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 (2996ds/51Mi)
% 0.58/0.73 % (8319)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.73 % (8320)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 (2996ds/34Mi)
% 0.58/0.73 % (8321)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.73 % (8322)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 (2996ds/83Mi)
% 0.58/0.73 % (8319)Refutation not found, incomplete strategy% (8319)------------------------------
% 0.58/0.73 % (8319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (8321)Refutation not found, incomplete strategy% (8321)------------------------------
% 0.58/0.73 % (8321)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (8321)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73
% 0.58/0.73 % (8321)Memory used [KB]: 964
% 0.58/0.73 % (8321)Time elapsed: 0.002 s
% 0.58/0.73 % (8321)Instructions burned: 2 (million)
% 0.58/0.73 % (8319)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73
% 0.58/0.73 % (8316)Refutation not found, incomplete strategy% (8316)------------------------------
% 0.58/0.73 % (8316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (8316)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73
% 0.58/0.73 % (8316)Memory used [KB]: 966
% 0.58/0.73 % (8316)Time elapsed: 0.003 s
% 0.58/0.73 % (8316)Instructions burned: 2 (million)
% 0.58/0.73 % (8320)Refutation not found, incomplete strategy% (8320)------------------------------
% 0.58/0.73 % (8320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (8320)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.73
% 0.58/0.73 % (8320)Memory used [KB]: 968
% 0.58/0.73 % (8320)Time elapsed: 0.003 s
% 0.58/0.73 % (8320)Instructions burned: 2 (million)
% 0.58/0.73 % (8319)Memory used [KB]: 952
% 0.58/0.73 % (8319)Time elapsed: 0.003 s
% 0.58/0.73 % (8319)Instructions burned: 2 (million)
% 0.58/0.73 % (8321)------------------------------
% 0.58/0.73 % (8321)------------------------------
% 0.58/0.73 % (8316)------------------------------
% 0.58/0.73 % (8316)------------------------------
% 0.58/0.73 % (8320)------------------------------
% 0.58/0.73 % (8320)------------------------------
% 0.58/0.73 % (8319)------------------------------
% 0.58/0.73 % (8319)------------------------------
% 0.58/0.73 % (8317)First to succeed.
% 0.58/0.73 % (8324)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 (2996ds/55Mi)
% 0.58/0.73 % (8318)Also succeeded, but the first one will report.
% 0.58/0.73 % (8317)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8315"
% 0.58/0.73 % (8317)Refutation found. Thanks to Tanya!
% 0.58/0.73 % SZS status Unsatisfiable for Vampire---4
% 0.58/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.73 % (8317)------------------------------
% 0.58/0.73 % (8317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73 % (8317)Termination reason: Refutation
% 0.58/0.73
% 0.58/0.73 % (8317)Memory used [KB]: 978
% 0.58/0.73 % (8317)Time elapsed: 0.004 s
% 0.58/0.73 % (8317)Instructions burned: 4 (million)
% 0.58/0.73 % (8315)Success in time 0.377 s
% 0.58/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------