TSTP Solution File: NUM030-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM030-1 : TPTP v8.2.0. 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 : n012.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 : Tue May 21 01:37:11 EDT 2024

% Result   : Unsatisfiable 0.56s 0.76s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   31 (  12 unt;   0 def)
%            Number of atoms       :   52 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  19   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f590,plain,
    $false,
    inference(avatar_sat_refutation,[],[f562,f573,f589]) ).

fof(f589,plain,
    ~ spl0_25,
    inference(avatar_contradiction_clause,[],[f588]) ).

fof(f588,plain,
    ( $false
    | ~ spl0_25 ),
    inference(subsumption_resolution,[],[f585,f160]) ).

fof(f160,axiom,
    ~ subclass(inverse(x),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_2) ).

fof(f585,plain,
    ( subclass(inverse(x),x)
    | ~ spl0_25 ),
    inference(resolution,[],[f561,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ member(not_subclass_element(X0,X1),X1)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f561,plain,
    ( member(not_subclass_element(inverse(x),x),x)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f560]) ).

fof(f560,plain,
    ( spl0_25
  <=> member(not_subclass_element(inverse(x),x),x) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f573,plain,
    ~ spl0_24,
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f572,plain,
    ( $false
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f570,f286]) ).

fof(f286,plain,
    member(not_subclass_element(inverse(x),x),inverse(x)),
    inference(resolution,[],[f2,f160]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f570,plain,
    ( ~ member(not_subclass_element(inverse(x),x),inverse(x))
    | ~ spl0_24 ),
    inference(resolution,[],[f563,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f563,plain,
    ( member(not_subclass_element(inverse(x),x),complement(inverse(x)))
    | ~ spl0_24 ),
    inference(resolution,[],[f558,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

fof(f558,plain,
    ( member(not_subclass_element(inverse(x),x),intersection(complement(x),complement(inverse(x))))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f557,plain,
    ( spl0_24
  <=> member(not_subclass_element(inverse(x),x),intersection(complement(x),complement(inverse(x)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f562,plain,
    ( spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f555,f560,f557]) ).

fof(f555,plain,
    ( member(not_subclass_element(inverse(x),x),x)
    | member(not_subclass_element(inverse(x),x),intersection(complement(x),complement(inverse(x)))) ),
    inference(superposition,[],[f453,f175]) ).

fof(f175,plain,
    x = complement(intersection(complement(x),complement(inverse(x)))),
    inference(definition_unfolding,[],[f159,f171]) ).

fof(f171,plain,
    ! [X0] : symmetrization_of(X0) = complement(intersection(complement(X0),complement(inverse(X0)))),
    inference(definition_unfolding,[],[f113,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f113,axiom,
    ! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetrization) ).

fof(f159,axiom,
    x = symmetrization_of(x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_symmetrization_property3_1) ).

fof(f453,plain,
    ! [X0] :
      ( member(not_subclass_element(inverse(x),x),complement(X0))
      | member(not_subclass_element(inverse(x),x),X0) ),
    inference(resolution,[],[f25,f403]) ).

fof(f403,plain,
    member(not_subclass_element(inverse(x),x),universal_class),
    inference(resolution,[],[f339,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f339,plain,
    ! [X0] :
      ( ~ subclass(inverse(x),X0)
      | member(not_subclass_element(inverse(x),x),X0) ),
    inference(resolution,[],[f1,f286]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( ~ member(X4,universal_class)
      | member(X4,complement(X0))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM030-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.14  % 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
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 06:37:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  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/benchmark/theBenchmark.p
% 0.56/0.73  % (14057)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.73  % (14051)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.73  % (14053)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73  % (14055)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.73  % (14054)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.73  % (14056)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.73  % (14054)Refutation not found, incomplete strategy% (14054)------------------------------
% 0.56/0.73  % (14054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (14054)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (14054)Memory used [KB]: 1168
% 0.56/0.73  % (14054)Time elapsed: 0.003 s
% 0.56/0.73  % (14054)Instructions burned: 3 (million)
% 0.56/0.73  % (14051)Refutation not found, incomplete strategy% (14051)------------------------------
% 0.56/0.73  % (14051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (14051)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (14051)Memory used [KB]: 1163
% 0.56/0.73  % (14051)Time elapsed: 0.003 s
% 0.56/0.73  % (14051)Instructions burned: 3 (million)
% 0.56/0.73  % (14054)------------------------------
% 0.56/0.73  % (14054)------------------------------
% 0.56/0.73  % (14051)------------------------------
% 0.56/0.73  % (14051)------------------------------
% 0.56/0.73  % (14058)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.73  % (14056)Refutation not found, incomplete strategy% (14056)------------------------------
% 0.56/0.73  % (14056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (14056)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (14056)Memory used [KB]: 1191
% 0.56/0.73  % (14056)Time elapsed: 0.005 s
% 0.56/0.73  % (14056)Instructions burned: 5 (million)
% 0.56/0.73  % (14052)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.73  % (14056)------------------------------
% 0.56/0.73  % (14056)------------------------------
% 0.56/0.73  % (14058)Refutation not found, incomplete strategy% (14058)------------------------------
% 0.56/0.73  % (14058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (14058)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (14055)Refutation not found, incomplete strategy% (14055)------------------------------
% 0.56/0.73  % (14055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (14058)Memory used [KB]: 1119
% 0.56/0.73  % (14058)Time elapsed: 0.003 s
% 0.56/0.73  % (14058)Instructions burned: 3 (million)
% 0.56/0.73  % (14055)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73  
% 0.56/0.73  % (14055)Memory used [KB]: 1197
% 0.56/0.73  % (14055)Time elapsed: 0.006 s
% 0.56/0.73  % (14055)Instructions burned: 8 (million)
% 0.56/0.73  % (14058)------------------------------
% 0.56/0.73  % (14058)------------------------------
% 0.56/0.73  % (14055)------------------------------
% 0.56/0.73  % (14055)------------------------------
% 0.56/0.74  % (14059)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.74  % (14057)Refutation not found, incomplete strategy% (14057)------------------------------
% 0.56/0.74  % (14057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (14057)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (14057)Memory used [KB]: 1363
% 0.56/0.74  % (14057)Time elapsed: 0.010 s
% 0.56/0.74  % (14057)Instructions burned: 25 (million)
% 0.56/0.74  % (14061)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.74  % (14057)------------------------------
% 0.56/0.74  % (14057)------------------------------
% 0.56/0.74  % (14063)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 theBenchmark for (2996ds/518Mi)
% 0.56/0.74  % (14059)Refutation not found, incomplete strategy% (14059)------------------------------
% 0.56/0.74  % (14059)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (14059)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (14059)Memory used [KB]: 1184
% 0.56/0.74  % (14059)Time elapsed: 0.003 s
% 0.56/0.74  % (14059)Instructions burned: 3 (million)
% 0.56/0.74  % (14062)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 theBenchmark for (2996ds/52Mi)
% 0.56/0.74  % (14059)------------------------------
% 0.56/0.74  % (14059)------------------------------
% 0.56/0.74  % (14063)Refutation not found, incomplete strategy% (14063)------------------------------
% 0.56/0.74  % (14063)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (14063)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (14063)Memory used [KB]: 1200
% 0.56/0.74  % (14063)Time elapsed: 0.004 s
% 0.56/0.74  % (14063)Instructions burned: 4 (million)
% 0.56/0.74  % (14061)Refutation not found, incomplete strategy% (14061)------------------------------
% 0.56/0.74  % (14061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (14061)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (14061)Memory used [KB]: 1204
% 0.56/0.74  % (14061)Time elapsed: 0.005 s
% 0.56/0.74  % (14061)Instructions burned: 4 (million)
% 0.56/0.74  % (14063)------------------------------
% 0.56/0.74  % (14063)------------------------------
% 0.56/0.74  % (14061)------------------------------
% 0.56/0.74  % (14061)------------------------------
% 0.56/0.74  % (14060)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 theBenchmark for (2996ds/50Mi)
% 0.56/0.74  % (14065)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 theBenchmark for (2996ds/243Mi)
% 0.56/0.74  % (14066)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.56/0.74  % (14064)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 theBenchmark for (2996ds/42Mi)
% 0.56/0.74  % (14066)Refutation not found, incomplete strategy% (14066)------------------------------
% 0.56/0.74  % (14066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (14066)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (14066)Memory used [KB]: 1183
% 0.56/0.74  % (14066)Time elapsed: 0.002 s
% 0.56/0.74  % (14066)Instructions burned: 3 (million)
% 0.56/0.74  % (14066)------------------------------
% 0.56/0.74  % (14066)------------------------------
% 0.56/0.75  % (14067)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 theBenchmark for (2996ds/143Mi)
% 0.56/0.75  % (14068)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 theBenchmark for (2996ds/93Mi)
% 0.56/0.76  % (14052)Instruction limit reached!
% 0.56/0.76  % (14052)------------------------------
% 0.56/0.76  % (14052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (14052)Termination reason: Unknown
% 0.56/0.76  % (14052)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (14052)Memory used [KB]: 1571
% 0.56/0.76  % (14052)Time elapsed: 0.029 s
% 0.56/0.76  % (14052)Instructions burned: 51 (million)
% 0.56/0.76  % (14052)------------------------------
% 0.56/0.76  % (14052)------------------------------
% 0.56/0.76  % (14062)First to succeed.
% 0.56/0.76  % (14062)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14049"
% 0.56/0.76  % (14062)Refutation found. Thanks to Tanya!
% 0.56/0.76  % SZS status Unsatisfiable for theBenchmark
% 0.56/0.76  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.76  % (14062)------------------------------
% 0.56/0.76  % (14062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (14062)Termination reason: Refutation
% 0.56/0.76  
% 0.56/0.76  % (14062)Memory used [KB]: 1447
% 0.56/0.76  % (14062)Time elapsed: 0.024 s
% 0.56/0.76  % (14062)Instructions burned: 40 (million)
% 0.56/0.76  % (14049)Success in time 0.397 s
% 0.56/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------