TSTP Solution File: SEU174+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU174+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.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 : Wed Aug 31 18:27:06 EDT 2022

% Result   : Theorem 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   52 (  15 unt;   0 def)
%            Number of atoms       :  274 (  48 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :  344 ( 122   ~; 111   |;  86   &)
%                                         (   9 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :  145 ( 124   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1937,plain,
    $false,
    inference(subsumption_resolution,[],[f1936,f465]) ).

fof(f465,plain,
    empty_set != sK9,
    inference(cnf_transformation,[],[f305]) ).

fof(f305,plain,
    ( element(sK9,powerset(powerset(sK8)))
    & empty_set = complements_of_subsets(sK8,sK9)
    & empty_set != sK9 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f244,f304]) ).

fof(f304,plain,
    ( ? [X0,X1] :
        ( element(X1,powerset(powerset(X0)))
        & empty_set = complements_of_subsets(X0,X1)
        & empty_set != X1 )
   => ( element(sK9,powerset(powerset(sK8)))
      & empty_set = complements_of_subsets(sK8,sK9)
      & empty_set != sK9 ) ),
    introduced(choice_axiom,[]) ).

fof(f244,plain,
    ? [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
      & empty_set = complements_of_subsets(X0,X1)
      & empty_set != X1 ),
    inference(flattening,[],[f243]) ).

fof(f243,plain,
    ? [X0,X1] :
      ( empty_set != X1
      & empty_set = complements_of_subsets(X0,X1)
      & element(X1,powerset(powerset(X0))) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,negated_conjecture,
    ~ ! [X0,X1] :
        ( element(X1,powerset(powerset(X0)))
       => ~ ( empty_set != X1
            & empty_set = complements_of_subsets(X0,X1) ) ),
    inference(negated_conjecture,[],[f98]) ).

fof(f98,conjecture,
    ! [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
     => ~ ( empty_set != X1
          & empty_set = complements_of_subsets(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_setfam_1) ).

fof(f1936,plain,
    empty_set = sK9,
    inference(backward_demodulation,[],[f1149,f1905]) ).

fof(f1905,plain,
    ! [X0] : empty_set = complements_of_subsets(X0,empty_set),
    inference(unit_resulting_resolution,[],[f726,f783,f783,f726,f571]) ).

fof(f571,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,powerset(powerset(X1)))
      | in(sK28(X0,X1,X2),X2)
      | complements_of_subsets(X1,X0) = X2
      | ~ element(X2,powerset(powerset(X1)))
      | in(subset_complement(X1,sK28(X0,X1,X2)),X0) ),
    inference(cnf_transformation,[],[f385]) ).

fof(f385,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(powerset(X1)))
      | ! [X2] :
          ( ~ element(X2,powerset(powerset(X1)))
          | ( ( ! [X3] :
                  ( ~ element(X3,powerset(X1))
                  | ( ( in(X3,X2)
                      | ~ in(subset_complement(X1,X3),X0) )
                    & ( in(subset_complement(X1,X3),X0)
                      | ~ in(X3,X2) ) ) )
              | complements_of_subsets(X1,X0) != X2 )
            & ( complements_of_subsets(X1,X0) = X2
              | ( element(sK28(X0,X1,X2),powerset(X1))
                & ( ~ in(subset_complement(X1,sK28(X0,X1,X2)),X0)
                  | ~ in(sK28(X0,X1,X2),X2) )
                & ( in(subset_complement(X1,sK28(X0,X1,X2)),X0)
                  | in(sK28(X0,X1,X2),X2) ) ) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f383,f384]) ).

fof(f384,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( element(X4,powerset(X1))
          & ( ~ in(subset_complement(X1,X4),X0)
            | ~ in(X4,X2) )
          & ( in(subset_complement(X1,X4),X0)
            | in(X4,X2) ) )
     => ( element(sK28(X0,X1,X2),powerset(X1))
        & ( ~ in(subset_complement(X1,sK28(X0,X1,X2)),X0)
          | ~ in(sK28(X0,X1,X2),X2) )
        & ( in(subset_complement(X1,sK28(X0,X1,X2)),X0)
          | in(sK28(X0,X1,X2),X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(powerset(X1)))
      | ! [X2] :
          ( ~ element(X2,powerset(powerset(X1)))
          | ( ( ! [X3] :
                  ( ~ element(X3,powerset(X1))
                  | ( ( in(X3,X2)
                      | ~ in(subset_complement(X1,X3),X0) )
                    & ( in(subset_complement(X1,X3),X0)
                      | ~ in(X3,X2) ) ) )
              | complements_of_subsets(X1,X0) != X2 )
            & ( complements_of_subsets(X1,X0) = X2
              | ? [X4] :
                  ( element(X4,powerset(X1))
                  & ( ~ in(subset_complement(X1,X4),X0)
                    | ~ in(X4,X2) )
                  & ( in(subset_complement(X1,X4),X0)
                    | in(X4,X2) ) ) ) ) ) ),
    inference(rectify,[],[f382]) ).

fof(f382,plain,
    ! [X1,X0] :
      ( ~ element(X1,powerset(powerset(X0)))
      | ! [X2] :
          ( ~ element(X2,powerset(powerset(X0)))
          | ( ( ! [X3] :
                  ( ~ element(X3,powerset(X0))
                  | ( ( in(X3,X2)
                      | ~ in(subset_complement(X0,X3),X1) )
                    & ( in(subset_complement(X0,X3),X1)
                      | ~ in(X3,X2) ) ) )
              | complements_of_subsets(X0,X1) != X2 )
            & ( complements_of_subsets(X0,X1) = X2
              | ? [X3] :
                  ( element(X3,powerset(X0))
                  & ( ~ in(subset_complement(X0,X3),X1)
                    | ~ in(X3,X2) )
                  & ( in(subset_complement(X0,X3),X1)
                    | in(X3,X2) ) ) ) ) ) ),
    inference(flattening,[],[f381]) ).

fof(f381,plain,
    ! [X1,X0] :
      ( ~ element(X1,powerset(powerset(X0)))
      | ! [X2] :
          ( ~ element(X2,powerset(powerset(X0)))
          | ( ( ! [X3] :
                  ( ~ element(X3,powerset(X0))
                  | ( ( in(X3,X2)
                      | ~ in(subset_complement(X0,X3),X1) )
                    & ( in(subset_complement(X0,X3),X1)
                      | ~ in(X3,X2) ) ) )
              | complements_of_subsets(X0,X1) != X2 )
            & ( complements_of_subsets(X0,X1) = X2
              | ? [X3] :
                  ( element(X3,powerset(X0))
                  & ( ~ in(subset_complement(X0,X3),X1)
                    | ~ in(X3,X2) )
                  & ( in(subset_complement(X0,X3),X1)
                    | in(X3,X2) ) ) ) ) ) ),
    inference(nnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X1,X0] :
      ( ~ element(X1,powerset(powerset(X0)))
      | ! [X2] :
          ( ~ element(X2,powerset(powerset(X0)))
          | ( ! [X3] :
                ( ~ element(X3,powerset(X0))
                | ( in(X3,X2)
                <=> in(subset_complement(X0,X3),X1) ) )
          <=> complements_of_subsets(X0,X1) = X2 ) ) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X1,X0] :
      ( element(X1,powerset(powerset(X0)))
     => ! [X2] :
          ( element(X2,powerset(powerset(X0)))
         => ( ! [X3] :
                ( element(X3,powerset(X0))
               => ( in(X3,X2)
                <=> in(subset_complement(X0,X3),X1) ) )
          <=> complements_of_subsets(X0,X1) = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_setfam_1) ).

fof(f783,plain,
    ! [X0] : ~ in(X0,empty_set),
    inference(unit_resulting_resolution,[],[f521,f469,f492]) ).

fof(f492,plain,
    ! [X2,X0,X1,X4] :
      ( set_difference(X0,X2) != X1
      | ~ in(X4,X2)
      | ~ in(X4,X1) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f329,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X2) = X1
        | ( ( ~ in(sK12(X0,X1,X2),X1)
            | in(sK12(X0,X1,X2),X2)
            | ~ in(sK12(X0,X1,X2),X0) )
          & ( in(sK12(X0,X1,X2),X1)
            | ( ~ in(sK12(X0,X1,X2),X2)
              & in(sK12(X0,X1,X2),X0) ) ) ) )
      & ( ! [X4] :
            ( ( ( ~ in(X4,X2)
                & in(X4,X0) )
              | ~ in(X4,X1) )
            & ( in(X4,X1)
              | in(X4,X2)
              | ~ in(X4,X0) ) )
        | set_difference(X0,X2) != X1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f327,f328]) ).

fof(f328,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ~ in(X3,X1)
            | in(X3,X2)
            | ~ in(X3,X0) )
          & ( in(X3,X1)
            | ( ~ in(X3,X2)
              & in(X3,X0) ) ) )
     => ( ( ~ in(sK12(X0,X1,X2),X1)
          | in(sK12(X0,X1,X2),X2)
          | ~ in(sK12(X0,X1,X2),X0) )
        & ( in(sK12(X0,X1,X2),X1)
          | ( ~ in(sK12(X0,X1,X2),X2)
            & in(sK12(X0,X1,X2),X0) ) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f327,plain,
    ! [X0,X1,X2] :
      ( ( set_difference(X0,X2) = X1
        | ? [X3] :
            ( ( ~ in(X3,X1)
              | in(X3,X2)
              | ~ in(X3,X0) )
            & ( in(X3,X1)
              | ( ~ in(X3,X2)
                & in(X3,X0) ) ) ) )
      & ( ! [X4] :
            ( ( ( ~ in(X4,X2)
                & in(X4,X0) )
              | ~ in(X4,X1) )
            & ( in(X4,X1)
              | in(X4,X2)
              | ~ in(X4,X0) ) )
        | set_difference(X0,X2) != X1 ) ),
    inference(rectify,[],[f326]) ).

fof(f326,plain,
    ! [X2,X0,X1] :
      ( ( set_difference(X2,X1) = X0
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) )
            & ( in(X3,X0)
              | ( ~ in(X3,X1)
                & in(X3,X2) ) ) ) )
      & ( ! [X3] :
            ( ( ( ~ in(X3,X1)
                & in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_difference(X2,X1) != X0 ) ),
    inference(flattening,[],[f325]) ).

fof(f325,plain,
    ! [X2,X0,X1] :
      ( ( set_difference(X2,X1) = X0
        | ? [X3] :
            ( ( ~ in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) )
            & ( in(X3,X0)
              | ( ~ in(X3,X1)
                & in(X3,X2) ) ) ) )
      & ( ! [X3] :
            ( ( ( ~ in(X3,X1)
                & in(X3,X2) )
              | ~ in(X3,X0) )
            & ( in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_difference(X2,X1) != X0 ) ),
    inference(nnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( set_difference(X2,X1) = X0
    <=> ! [X3] :
          ( ( ~ in(X3,X1)
            & in(X3,X2) )
        <=> in(X3,X0) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X2,X1,X0] :
      ( set_difference(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            & ~ in(X3,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f469,plain,
    ! [X0] : in(X0,sK10(X0)),
    inference(cnf_transformation,[],[f308]) ).

fof(f308,plain,
    ! [X0] :
      ( ! [X2] :
          ( ~ in(X2,sK10(X0))
          | in(powerset(X2),sK10(X0)) )
      & in(X0,sK10(X0))
      & ! [X3,X4] :
          ( ~ subset(X4,X3)
          | ~ in(X3,sK10(X0))
          | in(X4,sK10(X0)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f306,f307]) ).

fof(f307,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ~ in(X2,X1)
              | in(powerset(X2),X1) )
          & in(X0,X1)
          & ! [X3,X4] :
              ( ~ subset(X4,X3)
              | ~ in(X3,X1)
              | in(X4,X1) ) )
     => ( ! [X2] :
            ( ~ in(X2,sK10(X0))
            | in(powerset(X2),sK10(X0)) )
        & in(X0,sK10(X0))
        & ! [X4,X3] :
            ( ~ subset(X4,X3)
            | ~ in(X3,sK10(X0))
            | in(X4,sK10(X0)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f306,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ( ~ in(X2,X1)
          | in(powerset(X2),X1) )
      & in(X0,X1)
      & ! [X3,X4] :
          ( ~ subset(X4,X3)
          | ~ in(X3,X1)
          | in(X4,X1) ) ),
    inference(rectify,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X5] :
          ( ~ in(X5,X1)
          | in(powerset(X5),X1) )
      & in(X0,X1)
      & ! [X3,X4] :
          ( ~ subset(X4,X3)
          | ~ in(X3,X1)
          | in(X4,X1) ) ),
    inference(flattening,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X4,X3] :
          ( in(X4,X1)
          | ~ in(X3,X1)
          | ~ subset(X4,X3) )
      & ! [X5] :
          ( ~ in(X5,X1)
          | in(powerset(X5),X1) )
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X4,X3] :
          ( ( in(X3,X1)
            & subset(X4,X3) )
         => in(X4,X1) )
      & ! [X5] :
          ( in(X5,X1)
         => in(powerset(X5),X1) )
      & in(X0,X1) ),
    inference(pure_predicate_removal,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
    ? [X1] :
      ( ! [X4,X3] :
          ( ( in(X3,X1)
            & subset(X4,X3) )
         => in(X4,X1) )
      & ! [X5] :
          ( in(X5,X1)
         => in(powerset(X5),X1) )
      & in(X0,X1)
      & ! [X2] :
          ~ ( ~ in(X2,X1)
            & subset(X2,X1)
            & ~ are_equipotent(X2,X1) ) ),
    inference(rectify,[],[f70]) ).

fof(f70,axiom,
    ! [X0] :
    ? [X1] :
      ( ! [X2] :
          ~ ( ~ in(X2,X1)
            & subset(X2,X1)
            & ~ are_equipotent(X2,X1) )
      & in(X0,X1)
      & ! [X2,X3] :
          ( ( subset(X3,X2)
            & in(X2,X1) )
         => in(X3,X1) )
      & ! [X2] :
          ( in(X2,X1)
         => in(powerset(X2),X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t136_zfmisc_1) ).

fof(f521,plain,
    ! [X0] : empty_set = set_difference(empty_set,X0),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,axiom,
    ! [X0] : empty_set = set_difference(empty_set,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_boole) ).

fof(f726,plain,
    ! [X0] : element(empty_set,powerset(X0)),
    inference(unit_resulting_resolution,[],[f432,f423]) ).

fof(f423,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ~ element(X0,powerset(X1)) )
      & ( element(X0,powerset(X1))
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f92,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> element(X0,powerset(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f432,plain,
    ! [X0] : subset(empty_set,X0),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).

fof(f1149,plain,
    sK9 = complements_of_subsets(sK8,empty_set),
    inference(forward_demodulation,[],[f1128,f466]) ).

fof(f466,plain,
    empty_set = complements_of_subsets(sK8,sK9),
    inference(cnf_transformation,[],[f305]) ).

fof(f1128,plain,
    complements_of_subsets(sK8,complements_of_subsets(sK8,sK9)) = sK9,
    inference(unit_resulting_resolution,[],[f467,f599]) ).

fof(f599,plain,
    ! [X0,X1] :
      ( ~ element(X0,powerset(powerset(X1)))
      | complements_of_subsets(X1,complements_of_subsets(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f402]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( complements_of_subsets(X1,complements_of_subsets(X1,X0)) = X0
      | ~ element(X0,powerset(powerset(X1))) ),
    inference(rectify,[],[f202]) ).

fof(f202,plain,
    ! [X1,X0] :
      ( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X1,X0] :
      ( element(X1,powerset(powerset(X0)))
     => complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).

fof(f467,plain,
    element(sK9,powerset(powerset(sK8))),
    inference(cnf_transformation,[],[f305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SEU174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n009.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 14:43:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  % (9840)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.44  % (9854)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.47  % (9840)Instruction limit reached!
% 0.18/0.47  % (9840)------------------------------
% 0.18/0.47  % (9840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (9847)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.50  % (9840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (9840)Termination reason: Unknown
% 0.18/0.50  % (9840)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (9840)Memory used [KB]: 6652
% 0.18/0.50  % (9840)Time elapsed: 0.080 s
% 0.18/0.50  % (9840)Instructions burned: 40 (million)
% 0.18/0.50  % (9840)------------------------------
% 0.18/0.50  % (9840)------------------------------
% 0.18/0.50  % (9847)Instruction limit reached!
% 0.18/0.50  % (9847)------------------------------
% 0.18/0.50  % (9847)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (9847)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (9847)Termination reason: Unknown
% 0.18/0.50  % (9847)Termination phase: Preprocessing 3
% 0.18/0.50  
% 0.18/0.50  % (9847)Memory used [KB]: 1535
% 0.18/0.50  % (9847)Time elapsed: 0.003 s
% 0.18/0.50  % (9847)Instructions burned: 3 (million)
% 0.18/0.50  % (9847)------------------------------
% 0.18/0.50  % (9847)------------------------------
% 0.18/0.51  % (9836)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (9841)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.51  % (9862)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.51  % (9842)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.51  % (9837)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51  % (9834)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51  % (9839)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.51  % (9838)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52  % (9854)First to succeed.
% 0.18/0.52  % (9835)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52  % (9859)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (9855)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.52  % (9835)Instruction limit reached!
% 0.18/0.52  % (9835)------------------------------
% 0.18/0.52  % (9835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (9835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (9835)Termination reason: Unknown
% 0.18/0.52  % (9835)Termination phase: Preprocessing 3
% 0.18/0.52  
% 0.18/0.52  % (9835)Memory used [KB]: 1663
% 0.18/0.52  % (9835)Time elapsed: 0.003 s
% 0.18/0.52  % (9835)Instructions burned: 4 (million)
% 0.18/0.52  % (9835)------------------------------
% 0.18/0.52  % (9835)------------------------------
% 0.18/0.52  % (9837)Instruction limit reached!
% 0.18/0.52  % (9837)------------------------------
% 0.18/0.52  % (9837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (9837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (9837)Termination reason: Unknown
% 0.18/0.52  % (9837)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (9837)Memory used [KB]: 6268
% 0.18/0.52  % (9837)Time elapsed: 0.008 s
% 0.18/0.52  % (9837)Instructions burned: 13 (million)
% 0.18/0.52  % (9837)------------------------------
% 0.18/0.52  % (9837)------------------------------
% 0.18/0.52  % (9843)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.52  % (9834)Instruction limit reached!
% 0.18/0.52  % (9834)------------------------------
% 0.18/0.52  % (9834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (9849)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (9852)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.52  % (9854)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Theorem for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (9854)------------------------------
% 0.18/0.52  % (9854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (9854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (9854)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (9854)Memory used [KB]: 7036
% 0.18/0.52  % (9854)Time elapsed: 0.131 s
% 0.18/0.52  % (9854)Instructions burned: 59 (million)
% 0.18/0.52  % (9854)------------------------------
% 0.18/0.52  % (9854)------------------------------
% 0.18/0.52  % (9832)Success in time 0.183 s
%------------------------------------------------------------------------------