TSTP Solution File: NUM142-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM142-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n010.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 08:08:04 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   20 (  14 unt;   0 def)
%            Number of atoms       :   28 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f476,plain,
    $false,
    inference(subsumption_resolution,[],[f444,f425]) ).

fof(f425,plain,
    ! [X0] : ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),X0)),
    inference(unit_resulting_resolution,[],[f308,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( member(X4,X0)
      | ~ member(X4,intersection(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',intersection1) ).

fof(f308,plain,
    ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(x)),
    inference(unit_resulting_resolution,[],[f303,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,X0)
      | ~ member(X4,complement(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',complement1) ).

fof(f303,plain,
    member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),x),
    inference(unit_resulting_resolution,[],[f250,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',not_subclass_members1) ).

fof(f250,plain,
    ~ subclass(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),
    inference(definition_unfolding,[],[f159,f165]) ).

fof(f165,plain,
    ! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
    inference(definition_unfolding,[],[f43,f26,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',singleton_set) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',union) ).

fof(f43,axiom,
    ! [X0] : union(X0,singleton(X0)) = successor(X0),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',successor) ).

fof(f159,axiom,
    ~ subclass(x,successor(x)),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',prove_successor_of_set_is_set3_1) ).

fof(f444,plain,
    member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),complement(unordered_pair(x,x)))),
    inference(unit_resulting_resolution,[],[f302,f305,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,X0)
      | member(X4,complement(X0))
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',complement2) ).

fof(f305,plain,
    member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),universal_class),
    inference(unit_resulting_resolution,[],[f4,f303,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',subclass_members) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',class_elements_are_sets) ).

fof(f302,plain,
    ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(intersection(complement(x),complement(unordered_pair(x,x))))),
    inference(unit_resulting_resolution,[],[f250,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.YTn0e0dMlW/Vampire---4.8_26222',not_subclass_members2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM142-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.14  % 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
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 14:27:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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.YTn0e0dMlW/Vampire---4.8_26222
% 0.56/0.72  % (26336)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)
% 0.56/0.72  % (26330)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)
% 0.56/0.72  % (26332)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.72  % (26331)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)
% 0.56/0.72  % (26335)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)
% 0.56/0.72  % (26333)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)
% 0.56/0.72  % (26337)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)
% 0.56/0.72  % (26336)Refutation not found, incomplete strategy% (26336)------------------------------
% 0.56/0.72  % (26336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72  % (26336)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.72  
% 0.56/0.72  % (26336)Memory used [KB]: 1148
% 0.56/0.72  % (26336)Time elapsed: 0.003 s
% 0.56/0.72  % (26336)Instructions burned: 6 (million)
% 0.56/0.72  % (26336)------------------------------
% 0.56/0.72  % (26336)------------------------------
% 0.56/0.72  % (26330)Refutation not found, incomplete strategy% (26330)------------------------------
% 0.56/0.72  % (26330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72  % (26330)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.72  
% 0.56/0.72  % (26330)Memory used [KB]: 1126
% 0.56/0.72  % (26330)Time elapsed: 0.003 s
% 0.56/0.72  % (26330)Instructions burned: 3 (million)
% 0.56/0.72  % (26337)Refutation not found, incomplete strategy% (26337)------------------------------
% 0.56/0.72  % (26337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72  % (26333)Refutation not found, incomplete strategy% (26333)------------------------------
% 0.56/0.72  % (26333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72  % (26333)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.72  
% 0.56/0.72  % (26333)Memory used [KB]: 1144
% 0.56/0.72  % (26333)Time elapsed: 0.003 s
% 0.56/0.72  % (26333)Instructions burned: 3 (million)
% 0.56/0.72  % (26337)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.72  
% 0.56/0.72  % (26337)Memory used [KB]: 1095
% 0.56/0.72  % (26337)Time elapsed: 0.003 s
% 0.56/0.72  % (26337)Instructions burned: 3 (million)
% 0.56/0.72  % (26330)------------------------------
% 0.56/0.72  % (26330)------------------------------
% 0.56/0.72  % (26333)------------------------------
% 0.56/0.72  % (26333)------------------------------
% 0.56/0.72  % (26337)------------------------------
% 0.56/0.72  % (26337)------------------------------
% 0.56/0.72  % (26334)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)
% 0.56/0.72  % (26338)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)
% 0.56/0.73  % (26338)Refutation not found, incomplete strategy% (26338)------------------------------
% 0.56/0.73  % (26338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (26338)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (26338)Memory used [KB]: 1144
% 0.56/0.73  % (26338)Time elapsed: 0.002 s
% 0.56/0.73  % (26338)Instructions burned: 3 (million)
% 0.56/0.73  % (26338)------------------------------
% 0.56/0.73  % (26338)------------------------------
% 0.56/0.73  % (26334)Refutation not found, incomplete strategy% (26334)------------------------------
% 0.56/0.73  % (26334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (26334)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (26334)Memory used [KB]: 1161
% 0.56/0.73  % (26334)Time elapsed: 0.003 s
% 0.56/0.73  % (26334)Instructions burned: 8 (million)
% 0.56/0.73  % (26334)------------------------------
% 0.56/0.73  % (26334)------------------------------
% 0.56/0.73  % (26340)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 (2996ds/208Mi)
% 0.56/0.73  % (26339)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 (2996ds/50Mi)
% 0.56/0.73  % (26341)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.73  % (26343)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.73  % (26340)Refutation not found, incomplete strategy% (26340)------------------------------
% 0.56/0.73  % (26340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (26335)Refutation not found, incomplete strategy% (26335)------------------------------
% 0.56/0.73  % (26335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (26335)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (26335)Memory used [KB]: 1210
% 0.56/0.73  % (26335)Time elapsed: 0.010 s
% 0.56/0.73  % (26335)Instructions burned: 14 (million)
% 0.56/0.73  % (26340)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (26342)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.73  % (26340)Memory used [KB]: 1178
% 0.56/0.73  % (26340)Time elapsed: 0.004 s
% 0.56/0.73  % (26340)Instructions burned: 3 (million)
% 0.56/0.73  % (26335)------------------------------
% 0.56/0.73  % (26335)------------------------------
% 0.56/0.73  % (26340)------------------------------
% 0.56/0.73  % (26340)------------------------------
% 0.56/0.73  % (26342)Refutation not found, incomplete strategy% (26342)------------------------------
% 0.56/0.73  % (26342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (26342)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (26342)Memory used [KB]: 1162
% 0.56/0.73  % (26342)Time elapsed: 0.003 s
% 0.56/0.73  % (26342)Instructions burned: 4 (million)
% 0.56/0.73  % (26342)------------------------------
% 0.56/0.73  % (26342)------------------------------
% 0.56/0.73  % (26344)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.56/0.73  % (26345)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.56/0.73  % (26346)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.56/0.74  % (26345)Refutation not found, incomplete strategy% (26345)------------------------------
% 0.56/0.74  % (26345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (26345)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (26345)Memory used [KB]: 1164
% 0.56/0.74  % (26345)Time elapsed: 0.004 s
% 0.56/0.74  % (26345)Instructions burned: 4 (million)
% 0.56/0.74  % (26345)------------------------------
% 0.56/0.74  % (26345)------------------------------
% 0.56/0.74  % (26347)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.56/0.74  % (26343)Instruction limit reached!
% 0.56/0.74  % (26343)------------------------------
% 0.56/0.74  % (26343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (26343)Termination reason: Unknown
% 0.56/0.74  % (26343)Termination phase: Saturation
% 0.56/0.74  
% 0.56/0.74  % (26343)Memory used [KB]: 1735
% 0.56/0.74  % (26343)Time elapsed: 0.016 s
% 0.56/0.74  % (26343)Instructions burned: 43 (million)
% 0.56/0.74  % (26343)------------------------------
% 0.56/0.74  % (26343)------------------------------
% 0.56/0.75  % (26348)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.56/0.75  % (26331)Instruction limit reached!
% 0.56/0.75  % (26331)------------------------------
% 0.56/0.75  % (26331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (26331)Termination reason: Unknown
% 0.56/0.75  % (26331)Termination phase: Saturation
% 0.56/0.75  
% 0.56/0.75  % (26331)Memory used [KB]: 1517
% 0.56/0.75  % (26331)Time elapsed: 0.029 s
% 0.56/0.75  % (26331)Instructions burned: 51 (million)
% 0.56/0.75  % (26331)------------------------------
% 0.56/0.75  % (26331)------------------------------
% 0.56/0.75  % (26348)First to succeed.
% 0.56/0.75  % (26348)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26329"
% 0.56/0.75  % (26349)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.56/0.75  % (26348)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (26348)------------------------------
% 0.56/0.75  % (26348)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (26348)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (26348)Memory used [KB]: 1316
% 0.56/0.75  % (26348)Time elapsed: 0.006 s
% 0.56/0.75  % (26348)Instructions burned: 17 (million)
% 0.56/0.75  % (26329)Success in time 0.391 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------