TSTP Solution File: NUM395+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM395+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 08:11:36 EDT 2024

% Result   : Theorem 0.46s 0.64s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   30 (  14   ~;   9   |;   6   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   11 (  11 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    5 (   4   !;   0   ?;   2   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_12,type,
    sQ1_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f65,plain,
    $false,
    inference(subsumption_resolution,[],[f64,f44]) ).

tff(f44,plain,
    epsilon_transitive(empty_set),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,axiom,
    ( epsilon_connected(empty_set)
    & epsilon_transitive(empty_set) ),
    file('/export/starexec/sandbox/tmp/tmp.9bL0wANxBt/Vampire---4.8_25124',l18_ordinal1) ).

tff(f64,plain,
    ~ epsilon_transitive(empty_set),
    inference(subsumption_resolution,[],[f63,f45]) ).

tff(f45,plain,
    epsilon_connected(empty_set),
    inference(cnf_transformation,[],[f30]) ).

tff(f63,plain,
    ( ~ epsilon_connected(empty_set)
    | ~ epsilon_transitive(empty_set) ),
    inference(resolution,[],[f52,f43]) ).

tff(f43,plain,
    ~ ordinal(empty_set),
    inference(cnf_transformation,[],[f31]) ).

tff(f31,plain,
    ~ ordinal(empty_set),
    inference(flattening,[],[f28]) ).

tff(f28,negated_conjecture,
    ~ ordinal(empty_set),
    inference(negated_conjecture,[],[f27]) ).

tff(f27,conjecture,
    ordinal(empty_set),
    file('/export/starexec/sandbox/tmp/tmp.9bL0wANxBt/Vampire---4.8_25124',t27_ordinal1) ).

tff(f52,plain,
    ! [X0: $i] :
      ( ordinal(X0)
      | ~ epsilon_connected(X0)
      | ~ epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tff(f40,plain,
    ! [X0] :
      ( ( ordinal(X0)
        | ~ epsilon_connected(X0)
        | ~ epsilon_transitive(X0) )
      & ( ( epsilon_connected(X0)
          & epsilon_transitive(X0) )
        | ~ ordinal(X0) ) ),
    inference(flattening,[],[f39]) ).

tff(f39,plain,
    ! [X0] :
      ( ( ordinal(X0)
        | ~ epsilon_connected(X0)
        | ~ epsilon_transitive(X0) )
      & ( ( epsilon_connected(X0)
          & epsilon_transitive(X0) )
        | ~ ordinal(X0) ) ),
    inference(nnf_transformation,[],[f29]) ).

tff(f29,axiom,
    ! [X0] :
      ( ordinal(X0)
    <=> ( epsilon_connected(X0)
        & epsilon_transitive(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9bL0wANxBt/Vampire---4.8_25124',d4_ordinal1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : NUM395+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.10  % 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
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri May  3 15:01:22 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.09/0.29  This is a FOF_THM_RFO_SEQ problem
% 0.09/0.29  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.9bL0wANxBt/Vampire---4.8_25124
% 0.46/0.64  % (25440)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)
% 0.46/0.64  % (25443)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)
% 0.46/0.64  % (25446)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)
% 0.46/0.64  % (25441)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)
% 0.46/0.64  % (25444)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)
% 0.46/0.64  % (25440)First to succeed.
% 0.46/0.64  % (25443)Refutation not found, incomplete strategy% (25443)------------------------------
% 0.46/0.64  % (25443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (25443)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64  
% 0.46/0.64  % (25443)Memory used [KB]: 971
% 0.46/0.64  % (25443)Time elapsed: 0.002 s
% 0.46/0.64  % (25443)Instructions burned: 2 (million)
% 0.46/0.64  % (25446)Also succeeded, but the first one will report.
% 0.46/0.64  % (25443)------------------------------
% 0.46/0.64  % (25443)------------------------------
% 0.46/0.64  % (25440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25367"
% 0.46/0.64  % (25442)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.64  % (25445)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)
% 0.46/0.64  % (25440)Refutation found. Thanks to Tanya!
% 0.46/0.64  % SZS status Theorem for Vampire---4
% 0.46/0.64  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.64  % (25440)------------------------------
% 0.46/0.64  % (25440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64  % (25440)Termination reason: Refutation
% 0.46/0.64  
% 0.46/0.64  % (25440)Memory used [KB]: 978
% 0.46/0.64  % (25440)Time elapsed: 0.002 s
% 0.46/0.64  % (25440)Instructions burned: 2 (million)
% 0.46/0.64  % (25367)Success in time 0.338 s
% 0.46/0.64  % Vampire---4.8 exiting
%------------------------------------------------------------------------------