TSTP Solution File: NUM383+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM383+1 : 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 : n016.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 08:11:35 EDT 2024

% Result   : Theorem 0.54s 0.72s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (   5 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (  38   ~;  29   |;   9   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   63 (  59   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f100,plain,
    $false,
    inference(subsumption_resolution,[],[f98,f44]) ).

fof(f44,plain,
    in(sK0,sK1),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( subset(sK1,sK0)
    & in(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f32,f42]) ).

fof(f42,plain,
    ( ? [X0,X1] :
        ( subset(X1,X0)
        & in(X0,X1) )
   => ( subset(sK1,sK0)
      & in(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ? [X0,X1] :
      ( subset(X1,X0)
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X0,X1] :
        ~ ( subset(X1,X0)
          & in(X0,X1) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X0,X1] :
      ~ ( subset(X1,X0)
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.u5hmjakmTQ/Vampire---4.8_21760',t7_ordinal1) ).

fof(f98,plain,
    ~ in(sK0,sK1),
    inference(resolution,[],[f97,f45]) ).

fof(f45,plain,
    subset(sK1,sK0),
    inference(cnf_transformation,[],[f43]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ in(X0,X1) ),
    inference(subsumption_resolution,[],[f94,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X2,X0)
      | ~ in(X1,X2)
      | ~ empty(X0) ),
    inference(resolution,[],[f47,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => element(X0,powerset(X1)) ),
    inference(unused_predicate_definition_removal,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.u5hmjakmTQ/Vampire---4.8_21760',t3_subset) ).

fof(f47,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | ~ empty(X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ~ empty(X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1,X2] :
      ~ ( empty(X2)
        & element(X1,powerset(X2))
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.u5hmjakmTQ/Vampire---4.8_21760',t5_subset) ).

fof(f94,plain,
    ! [X0,X1] :
      ( empty(X0)
      | ~ in(X0,X1)
      | ~ subset(X1,X0) ),
    inference(resolution,[],[f74,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X2)
      | ~ subset(X2,X1) ),
    inference(resolution,[],[f48,f52]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,powerset(X2))
      | element(X0,X2)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ element(X1,powerset(X2))
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X2))
        & in(X0,X1) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.u5hmjakmTQ/Vampire---4.8_21760',t4_subset) ).

fof(f74,plain,
    ! [X0] :
      ( ~ element(X0,X0)
      | empty(X0) ),
    inference(resolution,[],[f56,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( in(X0,X1)
        | empty(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.u5hmjakmTQ/Vampire---4.8_21760',t2_subset) ).

fof(f56,plain,
    ! [X0] : ~ in(X0,X0),
    inference(factoring,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.u5hmjakmTQ/Vampire---4.8_21760',antisymmetry_r2_hidden) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM383+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % 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
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 15:25:07 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  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.u5hmjakmTQ/Vampire---4.8_21760
% 0.54/0.72  % (21869)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)
% 0.54/0.72  % (21870)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)
% 0.54/0.72  % (21872)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)
% 0.54/0.72  % (21871)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.72  % (21873)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)
% 0.54/0.72  % (21874)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)
% 0.54/0.72  % (21875)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)
% 0.54/0.72  % (21872)Refutation not found, incomplete strategy% (21872)------------------------------
% 0.54/0.72  % (21872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (21872)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (21872)Memory used [KB]: 968
% 0.54/0.72  % (21872)Time elapsed: 0.002 s
% 0.54/0.72  % (21872)Instructions burned: 2 (million)
% 0.54/0.72  % (21874)Refutation not found, incomplete strategy% (21874)------------------------------
% 0.54/0.72  % (21874)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (21874)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (21874)Memory used [KB]: 970
% 0.54/0.72  % (21874)Time elapsed: 0.002 s
% 0.54/0.72  % (21874)Instructions burned: 2 (million)
% 0.54/0.72  % (21869)First to succeed.
% 0.54/0.72  % (21872)------------------------------
% 0.54/0.72  % (21872)------------------------------
% 0.54/0.72  % (21873)Refutation not found, incomplete strategy% (21873)------------------------------
% 0.54/0.72  % (21873)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (21874)------------------------------
% 0.54/0.72  % (21874)------------------------------
% 0.54/0.72  % (21873)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.72  
% 0.54/0.72  % (21873)Memory used [KB]: 982
% 0.54/0.72  % (21873)Time elapsed: 0.003 s
% 0.54/0.72  % (21873)Instructions burned: 3 (million)
% 0.54/0.72  % (21869)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21868"
% 0.54/0.72  % (21873)------------------------------
% 0.54/0.72  % (21873)------------------------------
% 0.54/0.72  % (21875)Also succeeded, but the first one will report.
% 0.54/0.72  % (21869)Refutation found. Thanks to Tanya!
% 0.54/0.72  % SZS status Theorem for Vampire---4
% 0.54/0.72  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.72  % (21869)------------------------------
% 0.54/0.72  % (21869)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.72  % (21869)Termination reason: Refutation
% 0.54/0.72  
% 0.54/0.72  % (21869)Memory used [KB]: 986
% 0.54/0.72  % (21869)Time elapsed: 0.003 s
% 0.54/0.72  % (21869)Instructions burned: 4 (million)
% 0.54/0.72  % (21868)Success in time 0.371 s
% 0.54/0.72  % Vampire---4.8 exiting
%------------------------------------------------------------------------------