TSTP Solution File: ITP004_2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ITP004_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 17:20:11 EDT 2022

% Result   : Theorem 2.13s 0.67s
% Output   : Refutation 2.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  106 (  25 unt;  25 typ;   0 def)
%            Number of atoms       :  639 (  23 equ)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives :  304 ( 124   ~; 122   |;  26   &)
%                                         (   7 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :  378 ( 378 fml;   0 var)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   29 (  19   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;   4 con; 0-3 aty)
%            Number of variables   :  131 ( 124   !;   7   ?;  71   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    del: $tType ).

tff(type_def_6,type,
    tp__o: $tType ).

tff(func_def_0,type,
    bool: del ).

tff(func_def_1,type,
    ind: del ).

tff(func_def_2,type,
    arr: ( del * del ) > del ).

tff(func_def_4,type,
    k: ( del * $i ) > $i ).

tff(func_def_5,type,
    i: del > $i ).

tff(func_def_6,type,
    inj__o: tp__o > $i ).

tff(func_def_7,type,
    surj__o: $i > tp__o ).

tff(func_def_9,type,
    fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).

tff(func_def_10,type,
    c_2Epred__set_2ESUBSET: del > $i ).

tff(func_def_12,type,
    fo__c_2Ebool_2E_7E: tp__o > tp__o ).

tff(func_def_14,type,
    fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).

tff(func_def_15,type,
    c_2Ebool_2EIN: del > $i ).

tff(func_def_16,type,
    c_2Epred__set_2ECHOICE: del > $i ).

tff(func_def_17,type,
    c_2Epred__set_2EDELETE: del > $i ).

tff(func_def_18,type,
    c_2Epred__set_2EREST: del > $i ).

tff(func_def_19,type,
    c_2Emin_2E_3D: del > $i ).

tff(func_def_20,type,
    c_2Ebool_2E_21: del > $i ).

tff(func_def_22,type,
    sK1: del ).

tff(func_def_23,type,
    sK2: ( del * $i * $i ) > $i ).

tff(func_def_24,type,
    sK3: ( $i * del * $i ) > $i ).

tff(func_def_25,type,
    sK4: ( del * $i ) > $i ).

tff(func_def_26,type,
    sF5: del ).

tff(pred_def_1,type,
    mem: ( $i * del ) > $o ).

tff(f861,plain,
    $false,
    inference(subsumption_resolution,[],[f860,f151]) ).

tff(f151,plain,
    mem(sK0,sF5),
    inference(definition_folding,[],[f105,f150]) ).

tff(f150,plain,
    arr(sK1,bool) = sF5,
    introduced(function_definition,[]) ).

tff(f105,plain,
    mem(sK0,arr(sK1,bool)),
    inference(cnf_transformation,[],[f79]) ).

tff(f79,plain,
    ( mem(sK0,arr(sK1,bool))
    & ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK0)),sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f76,f78]) ).

tff(f78,plain,
    ( ? [X0,X1: del] :
        ( mem(X0,arr(X1,bool))
        & ~ p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(c_2Epred__set_2EREST(X1),X0)),X0)) )
   => ( mem(sK0,arr(sK1,bool))
      & ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK0)),sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f76,plain,
    ? [X0,X1: del] :
      ( mem(X0,arr(X1,bool))
      & ~ p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(c_2Epred__set_2EREST(X1),X0)),X0)) ),
    inference(ennf_transformation,[],[f48]) ).

tff(f48,plain,
    ~ ! [X0,X1: del] :
        ( mem(X0,arr(X1,bool))
       => p(ap(ap(c_2Epred__set_2ESUBSET(X1),ap(c_2Epred__set_2EREST(X1),X0)),X0)) ),
    inference(rectify,[],[f31]) ).

tff(f31,negated_conjecture,
    ~ ! [X11,X10: del] :
        ( mem(X11,arr(X10,bool))
       => p(ap(ap(c_2Epred__set_2ESUBSET(X10),ap(c_2Epred__set_2EREST(X10),X11)),X11)) ),
    inference(negated_conjecture,[],[f30]) ).

tff(f30,conjecture,
    ! [X11,X10: del] :
      ( mem(X11,arr(X10,bool))
     => p(ap(ap(c_2Epred__set_2ESUBSET(X10),ap(c_2Epred__set_2EREST(X10),X11)),X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EREST__SUBSET) ).

tff(f860,plain,
    ~ mem(sK0,sF5),
    inference(forward_demodulation,[],[f859,f150]) ).

tff(f859,plain,
    ~ mem(sK0,arr(sK1,bool)),
    inference(subsumption_resolution,[],[f858,f157]) ).

tff(f157,plain,
    ~ p(sF10),
    inference(definition_folding,[],[f104,f156,f155,f154,f153,f152]) ).

tff(f152,plain,
    sF6 = c_2Epred__set_2ESUBSET(sK1),
    introduced(function_definition,[]) ).

tff(f153,plain,
    sF7 = c_2Epred__set_2EREST(sK1),
    introduced(function_definition,[]) ).

tff(f154,plain,
    ap(sF7,sK0) = sF8,
    introduced(function_definition,[]) ).

tff(f155,plain,
    ap(sF6,sF8) = sF9,
    introduced(function_definition,[]) ).

tff(f156,plain,
    ap(sF9,sK0) = sF10,
    introduced(function_definition,[]) ).

tff(f104,plain,
    ~ p(ap(ap(c_2Epred__set_2ESUBSET(sK1),ap(c_2Epred__set_2EREST(sK1),sK0)),sK0)),
    inference(cnf_transformation,[],[f79]) ).

tff(f858,plain,
    ( ~ mem(sK0,arr(sK1,bool))
    | p(sF10) ),
    inference(forward_demodulation,[],[f857,f156]) ).

tff(f857,plain,
    ( p(ap(sF9,sK0))
    | ~ mem(sK0,arr(sK1,bool)) ),
    inference(subsumption_resolution,[],[f856,f241]) ).

tff(f241,plain,
    mem(sF8,sF5),
    inference(forward_demodulation,[],[f240,f154]) ).

tff(f240,plain,
    mem(ap(sF7,sK0),sF5),
    inference(resolution,[],[f236,f151]) ).

tff(f236,plain,
    ! [X23: $i] :
      ( ~ mem(X23,sF5)
      | mem(ap(sF7,X23),sF5) ),
    inference(resolution,[],[f103,f186]) ).

tff(f186,plain,
    mem(sF7,arr(sF5,sF5)),
    inference(forward_demodulation,[],[f184,f150]) ).

tff(f184,plain,
    mem(sF7,arr(arr(sK1,bool),arr(sK1,bool))),
    inference(superposition,[],[f137,f153]) ).

tff(f137,plain,
    ! [X0: del] : mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool))),
    inference(cnf_transformation,[],[f47]) ).

tff(f47,plain,
    ! [X0: del] : mem(c_2Epred__set_2EREST(X0),arr(arr(X0,bool),arr(X0,bool))),
    inference(rectify,[],[f22]) ).

tff(f22,axiom,
    ! [X10: del] : mem(c_2Epred__set_2EREST(X10),arr(arr(X10,bool),arr(X10,bool))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2EREST) ).

tff(f103,plain,
    ! [X2: del,X3: $i,X0: del,X1: $i] :
      ( ~ mem(X1,arr(X0,X2))
      | mem(ap(X1,X3),X2)
      | ~ mem(X3,X0) ),
    inference(cnf_transformation,[],[f77]) ).

tff(f77,plain,
    ! [X0: del,X1,X2: del] :
      ( ! [X3] :
          ( mem(ap(X1,X3),X2)
          | ~ mem(X3,X0) )
      | ~ mem(X1,arr(X0,X2)) ),
    inference(rectify,[],[f59]) ).

tff(f59,plain,
    ! [X2: del,X0,X1: del] :
      ( ! [X3] :
          ( mem(ap(X0,X3),X1)
          | ~ mem(X3,X2) )
      | ~ mem(X0,arr(X2,X1)) ),
    inference(ennf_transformation,[],[f49]) ).

tff(f49,plain,
    ! [X0,X2: del,X1: del] :
      ( mem(X0,arr(X2,X1))
     => ! [X3] :
          ( mem(X3,X2)
         => mem(ap(X0,X3),X1) ) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X2,X1: del,X0: del] :
      ( mem(X2,arr(X0,X1))
     => ! [X3] :
          ( mem(X3,X0)
         => mem(ap(X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_tp) ).

tff(f856,plain,
    ( ~ mem(sK0,arr(sK1,bool))
    | p(ap(sF9,sK0))
    | ~ mem(sF8,sF5) ),
    inference(forward_demodulation,[],[f855,f150]) ).

tff(f855,plain,
    ( ~ mem(sF8,arr(sK1,bool))
    | ~ mem(sK0,arr(sK1,bool))
    | p(ap(sF9,sK0)) ),
    inference(duplicate_literal_removal,[],[f854]) ).

tff(f854,plain,
    ( ~ mem(sK0,arr(sK1,bool))
    | p(ap(sF9,sK0))
    | ~ mem(sF8,arr(sK1,bool))
    | p(ap(sF9,sK0)) ),
    inference(forward_demodulation,[],[f853,f155]) ).

tff(f853,plain,
    ( p(ap(ap(sF6,sF8),sK0))
    | ~ mem(sK0,arr(sK1,bool))
    | ~ mem(sF8,arr(sK1,bool))
    | p(ap(sF9,sK0)) ),
    inference(forward_demodulation,[],[f852,f152]) ).

tff(f852,plain,
    ( p(ap(ap(c_2Epred__set_2ESUBSET(sK1),sF8),sK0))
    | p(ap(sF9,sK0))
    | ~ mem(sF8,arr(sK1,bool))
    | ~ mem(sK0,arr(sK1,bool)) ),
    inference(subsumption_resolution,[],[f848,f151]) ).

tff(f848,plain,
    ( p(ap(ap(c_2Epred__set_2ESUBSET(sK1),sF8),sK0))
    | ~ mem(sF8,arr(sK1,bool))
    | ~ mem(sK0,sF5)
    | p(ap(sF9,sK0))
    | ~ mem(sK0,arr(sK1,bool)) ),
    inference(resolution,[],[f847,f109]) ).

tff(f109,plain,
    ! [X2: $i,X0: del,X1: $i] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X2))
      | ~ mem(X2,arr(X0,bool))
      | ~ mem(X1,arr(X0,bool))
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f83]) ).

tff(f83,plain,
    ! [X0: del,X1] :
      ( ~ mem(X1,arr(X0,bool))
      | ! [X2] :
          ( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
              | ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X2))
                & mem(sK2(X0,X1,X2),X0)
                & p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X1)) ) )
            & ( ! [X4] :
                  ( p(ap(ap(c_2Ebool_2EIN(X0),X4),X2))
                  | ~ mem(X4,X0)
                  | ~ p(ap(ap(c_2Ebool_2EIN(X0),X4),X1)) )
              | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
          | ~ mem(X2,arr(X0,bool)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f81,f82]) ).

tff(f82,plain,
    ! [X0: del,X1,X2] :
      ( ? [X3] :
          ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
          & mem(X3,X0)
          & p(ap(ap(c_2Ebool_2EIN(X0),X3),X1)) )
     => ( ~ p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X2))
        & mem(sK2(X0,X1,X2),X0)
        & p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X1)) ) ),
    introduced(choice_axiom,[]) ).

tff(f81,plain,
    ! [X0: del,X1] :
      ( ~ mem(X1,arr(X0,bool))
      | ! [X2] :
          ( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
              | ? [X3] :
                  ( ~ p(ap(ap(c_2Ebool_2EIN(X0),X3),X2))
                  & mem(X3,X0)
                  & p(ap(ap(c_2Ebool_2EIN(X0),X3),X1)) ) )
            & ( ! [X4] :
                  ( p(ap(ap(c_2Ebool_2EIN(X0),X4),X2))
                  | ~ mem(X4,X0)
                  | ~ p(ap(ap(c_2Ebool_2EIN(X0),X4),X1)) )
              | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ) )
          | ~ mem(X2,arr(X0,bool)) ) ),
    inference(rectify,[],[f80]) ).

tff(f80,plain,
    ! [X1: del,X0] :
      ( ~ mem(X0,arr(X1,bool))
      | ! [X2] :
          ( ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X1),X0),X2))
              | ? [X3] :
                  ( ~ p(ap(ap(c_2Ebool_2EIN(X1),X3),X2))
                  & mem(X3,X1)
                  & p(ap(ap(c_2Ebool_2EIN(X1),X3),X0)) ) )
            & ( ! [X3] :
                  ( p(ap(ap(c_2Ebool_2EIN(X1),X3),X2))
                  | ~ mem(X3,X1)
                  | ~ p(ap(ap(c_2Ebool_2EIN(X1),X3),X0)) )
              | ~ p(ap(ap(c_2Epred__set_2ESUBSET(X1),X0),X2)) ) )
          | ~ mem(X2,arr(X1,bool)) ) ),
    inference(nnf_transformation,[],[f69]) ).

tff(f69,plain,
    ! [X1: del,X0] :
      ( ~ mem(X0,arr(X1,bool))
      | ! [X2] :
          ( ( p(ap(ap(c_2Epred__set_2ESUBSET(X1),X0),X2))
          <=> ! [X3] :
                ( p(ap(ap(c_2Ebool_2EIN(X1),X3),X2))
                | ~ mem(X3,X1)
                | ~ p(ap(ap(c_2Ebool_2EIN(X1),X3),X0)) ) )
          | ~ mem(X2,arr(X1,bool)) ) ),
    inference(flattening,[],[f68]) ).

tff(f68,plain,
    ! [X0,X1: del] :
      ( ! [X2] :
          ( ( ! [X3] :
                ( p(ap(ap(c_2Ebool_2EIN(X1),X3),X2))
                | ~ p(ap(ap(c_2Ebool_2EIN(X1),X3),X0))
                | ~ mem(X3,X1) )
          <=> p(ap(ap(c_2Epred__set_2ESUBSET(X1),X0),X2)) )
          | ~ mem(X2,arr(X1,bool)) )
      | ~ mem(X0,arr(X1,bool)) ),
    inference(ennf_transformation,[],[f39]) ).

tff(f39,plain,
    ! [X0,X1: del] :
      ( mem(X0,arr(X1,bool))
     => ! [X2] :
          ( mem(X2,arr(X1,bool))
         => ( ! [X3] :
                ( mem(X3,X1)
               => ( p(ap(ap(c_2Ebool_2EIN(X1),X3),X0))
                 => p(ap(ap(c_2Ebool_2EIN(X1),X3),X2)) ) )
          <=> p(ap(ap(c_2Epred__set_2ESUBSET(X1),X0),X2)) ) ) ),
    inference(rectify,[],[f27]) ).

tff(f27,axiom,
    ! [X11,X10: del] :
      ( mem(X11,arr(X10,bool))
     => ! [X12] :
          ( mem(X12,arr(X10,bool))
         => ( ! [X13] :
                ( mem(X13,X10)
               => ( p(ap(ap(c_2Ebool_2EIN(X10),X13),X11))
                 => p(ap(ap(c_2Ebool_2EIN(X10),X13),X12)) ) )
          <=> p(ap(ap(c_2Epred__set_2ESUBSET(X10),X11),X12)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2ESUBSET__DEF) ).

tff(f847,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Ebool_2EIN(sK1),sK2(sK1,sF8,X0)),sK0))
      | p(ap(sF9,X0))
      | ~ mem(X0,sF5) ),
    inference(forward_demodulation,[],[f846,f155]) ).

tff(f846,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Ebool_2EIN(sK1),sK2(sK1,sF8,X0)),sK0))
      | ~ mem(X0,sF5)
      | p(ap(ap(sF6,sF8),X0)) ),
    inference(forward_demodulation,[],[f845,f152]) ).

tff(f845,plain,
    ! [X0: $i] :
      ( ~ mem(X0,sF5)
      | p(ap(ap(c_2Ebool_2EIN(sK1),sK2(sK1,sF8,X0)),sK0))
      | p(ap(ap(c_2Epred__set_2ESUBSET(sK1),sF8),X0)) ),
    inference(subsumption_resolution,[],[f844,f241]) ).

tff(f844,plain,
    ! [X0: $i] :
      ( ~ mem(X0,sF5)
      | p(ap(ap(c_2Epred__set_2ESUBSET(sK1),sF8),X0))
      | p(ap(ap(c_2Ebool_2EIN(sK1),sK2(sK1,sF8,X0)),sK0))
      | ~ mem(sF8,sF5) ),
    inference(forward_demodulation,[],[f843,f150]) ).

tff(f843,plain,
    ! [X0: $i] :
      ( ~ mem(X0,sF5)
      | p(ap(ap(c_2Ebool_2EIN(sK1),sK2(sK1,sF8,X0)),sK0))
      | ~ mem(sF8,arr(sK1,bool))
      | p(ap(ap(c_2Epred__set_2ESUBSET(sK1),sF8),X0)) ),
    inference(forward_demodulation,[],[f842,f150]) ).

tff(f842,plain,
    ! [X0: $i] :
      ( ~ mem(X0,arr(sK1,bool))
      | ~ mem(sF8,arr(sK1,bool))
      | p(ap(ap(c_2Ebool_2EIN(sK1),sK2(sK1,sF8,X0)),sK0))
      | p(ap(ap(c_2Epred__set_2ESUBSET(sK1),sF8),X0)) ),
    inference(subsumption_resolution,[],[f841,f108]) ).

tff(f108,plain,
    ! [X2: $i,X0: del,X1: $i] :
      ( ~ mem(X1,arr(X0,bool))
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2))
      | mem(sK2(X0,X1,X2),X0)
      | ~ mem(X2,arr(X0,bool)) ),
    inference(cnf_transformation,[],[f83]) ).

tff(f841,plain,
    ! [X0: $i] :
      ( ~ mem(X0,arr(sK1,bool))
      | p(ap(ap(c_2Epred__set_2ESUBSET(sK1),sF8),X0))
      | ~ mem(sK2(sK1,sF8,X0),sK1)
      | p(ap(ap(c_2Ebool_2EIN(sK1),sK2(sK1,sF8,X0)),sK0))
      | ~ mem(sF8,arr(sK1,bool)) ),
    inference(resolution,[],[f820,f107]) ).

tff(f107,plain,
    ! [X2: $i,X0: del,X1: $i] :
      ( p(ap(ap(c_2Ebool_2EIN(X0),sK2(X0,X1,X2)),X1))
      | ~ mem(X1,arr(X0,bool))
      | ~ mem(X2,arr(X0,bool))
      | p(ap(ap(c_2Epred__set_2ESUBSET(X0),X1),X2)) ),
    inference(cnf_transformation,[],[f83]) ).

tff(f820,plain,
    ! [X0: $i] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(sK1),X0),sF8))
      | p(ap(ap(c_2Ebool_2EIN(sK1),X0),sK0))
      | ~ mem(X0,sK1) ),
    inference(subsumption_resolution,[],[f819,f151]) ).

tff(f819,plain,
    ! [X0: $i] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(sK1),X0),sF8))
      | p(ap(ap(c_2Ebool_2EIN(sK1),X0),sK0))
      | ~ mem(X0,sK1)
      | ~ mem(sK0,sF5) ),
    inference(forward_demodulation,[],[f818,f150]) ).

tff(f818,plain,
    ! [X0: $i] :
      ( ~ mem(X0,sK1)
      | ~ p(ap(ap(c_2Ebool_2EIN(sK1),X0),sF8))
      | p(ap(ap(c_2Ebool_2EIN(sK1),X0),sK0))
      | ~ mem(sK0,arr(sK1,bool)) ),
    inference(subsumption_resolution,[],[f813,f226]) ).

tff(f226,plain,
    ! [X8: del,X9: $i] :
      ( ~ mem(X9,arr(X8,bool))
      | mem(ap(c_2Epred__set_2ECHOICE(X8),X9),X8) ),
    inference(resolution,[],[f103,f140]) ).

tff(f140,plain,
    ! [X0: del] : mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0)),
    inference(cnf_transformation,[],[f53]) ).

tff(f53,plain,
    ! [X0: del] : mem(c_2Epred__set_2ECHOICE(X0),arr(arr(X0,bool),X0)),
    inference(rectify,[],[f20]) ).

tff(f20,axiom,
    ! [X10: del] : mem(c_2Epred__set_2ECHOICE(X10),arr(arr(X10,bool),X10)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_c_2Epred__set_2ECHOICE) ).

tff(f813,plain,
    ! [X0: $i] :
      ( p(ap(ap(c_2Ebool_2EIN(sK1),X0),sK0))
      | ~ mem(sK0,arr(sK1,bool))
      | ~ p(ap(ap(c_2Ebool_2EIN(sK1),X0),sF8))
      | ~ mem(X0,sK1)
      | ~ mem(ap(c_2Epred__set_2ECHOICE(sK1),sK0),sK1) ),
    inference(superposition,[],[f142,f812]) ).

tff(f812,plain,
    ap(ap(c_2Epred__set_2EDELETE(sK1),sK0),ap(c_2Epred__set_2ECHOICE(sK1),sK0)) = sF8,
    inference(forward_demodulation,[],[f810,f154]) ).

tff(f810,plain,
    ap(sF7,sK0) = ap(ap(c_2Epred__set_2EDELETE(sK1),sK0),ap(c_2Epred__set_2ECHOICE(sK1),sK0)),
    inference(resolution,[],[f313,f151]) ).

tff(f313,plain,
    ! [X0: $i] :
      ( ~ mem(X0,sF5)
      | ( ap(sF7,X0) = ap(ap(c_2Epred__set_2EDELETE(sK1),X0),ap(c_2Epred__set_2ECHOICE(sK1),X0)) ) ),
    inference(forward_demodulation,[],[f312,f153]) ).

tff(f312,plain,
    ! [X0: $i] :
      ( ( ap(c_2Epred__set_2EREST(sK1),X0) = ap(ap(c_2Epred__set_2EDELETE(sK1),X0),ap(c_2Epred__set_2ECHOICE(sK1),X0)) )
      | ~ mem(X0,sF5) ),
    inference(superposition,[],[f117,f150]) ).

tff(f117,plain,
    ! [X0: $i,X1: del] :
      ( ~ mem(X0,arr(X1,bool))
      | ( ap(c_2Epred__set_2EREST(X1),X0) = ap(ap(c_2Epred__set_2EDELETE(X1),X0),ap(c_2Epred__set_2ECHOICE(X1),X0)) ) ),
    inference(cnf_transformation,[],[f64]) ).

tff(f64,plain,
    ! [X0,X1: del] :
      ( ( ap(c_2Epred__set_2EREST(X1),X0) = ap(ap(c_2Epred__set_2EDELETE(X1),X0),ap(c_2Epred__set_2ECHOICE(X1),X0)) )
      | ~ mem(X0,arr(X1,bool)) ),
    inference(ennf_transformation,[],[f32]) ).

tff(f32,plain,
    ! [X1: del,X0] :
      ( mem(X0,arr(X1,bool))
     => ( ap(c_2Epred__set_2EREST(X1),X0) = ap(ap(c_2Epred__set_2EDELETE(X1),X0),ap(c_2Epred__set_2ECHOICE(X1),X0)) ) ),
    inference(rectify,[],[f29]) ).

tff(f29,axiom,
    ! [X11,X10: del] :
      ( mem(X11,arr(X10,bool))
     => ( ap(c_2Epred__set_2EREST(X10),X11) = ap(ap(c_2Epred__set_2EDELETE(X10),X11),ap(c_2Epred__set_2ECHOICE(X10),X11)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_thm_2Epred__set_2EREST__DEF) ).

tff(f142,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: del] :
      ( ~ p(ap(ap(c_2Ebool_2EIN(X1),X2),ap(ap(c_2Epred__set_2EDELETE(X1),X0),X3)))
      | p(ap(ap(c_2Ebool_2EIN(X1),X2),X0))
      | ~ mem(X3,X1)
      | ~ mem(X0,arr(X1,bool))
      | ~ mem(X2,X1) ),
    inference(cnf_transformation,[],[f101]) ).

tff(f101,plain,
    ! [X0,X1: del] :
      ( ~ mem(X0,arr(X1,bool))
      | ! [X2] :
          ( ! [X3] :
              ( ( ( p(ap(ap(c_2Ebool_2EIN(X1),X2),ap(ap(c_2Epred__set_2EDELETE(X1),X0),X3)))
                  | ( X2 = X3 )
                  | ~ p(ap(ap(c_2Ebool_2EIN(X1),X2),X0)) )
                & ( ( ( X2 != X3 )
                    & p(ap(ap(c_2Ebool_2EIN(X1),X2),X0)) )
                  | ~ p(ap(ap(c_2Ebool_2EIN(X1),X2),ap(ap(c_2Epred__set_2EDELETE(X1),X0),X3))) ) )
              | ~ mem(X3,X1) )
          | ~ mem(X2,X1) ) ),
    inference(rectify,[],[f100]) ).

tff(f100,plain,
    ! [X1,X0: del] :
      ( ~ mem(X1,arr(X0,bool))
      | ! [X2] :
          ( ! [X3] :
              ( ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
                  | ( X2 = X3 )
                  | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                & ( ( ( X2 != X3 )
                    & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                  | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3))) ) )
              | ~ mem(X3,X0) )
          | ~ mem(X2,X0) ) ),
    inference(flattening,[],[f99]) ).

tff(f99,plain,
    ! [X1,X0: del] :
      ( ~ mem(X1,arr(X0,bool))
      | ! [X2] :
          ( ! [X3] :
              ( ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
                  | ( X2 = X3 )
                  | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                & ( ( ( X2 != X3 )
                    & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) )
                  | ~ p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3))) ) )
              | ~ mem(X3,X0) )
          | ~ mem(X2,X0) ) ),
    inference(nnf_transformation,[],[f71]) ).

tff(f71,plain,
    ! [X1,X0: del] :
      ( ~ mem(X1,arr(X0,bool))
      | ! [X2] :
          ( ! [X3] :
              ( ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
              <=> ( ( X2 != X3 )
                  & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) )
              | ~ mem(X3,X0) )
          | ~ mem(X2,X0) ) ),
    inference(ennf_transformation,[],[f35]) ).

tff(f35,plain,
    ! [X0: del,X1] :
      ( mem(X1,arr(X0,bool))
     => ! [X2] :
          ( mem(X2,X0)
         => ! [X3] :
              ( mem(X3,X0)
             => ( p(ap(ap(c_2Ebool_2EIN(X0),X2),ap(ap(c_2Epred__set_2EDELETE(X0),X1),X3)))
              <=> ( ( X2 != X3 )
                  & p(ap(ap(c_2Ebool_2EIN(X0),X2),X1)) ) ) ) ) ),
    inference(rectify,[],[f28]) ).

tff(f28,axiom,
    ! [X10: del,X11] :
      ( mem(X11,arr(X10,bool))
     => ! [X14] :
          ( mem(X14,X10)
         => ! [X15] :
              ( mem(X15,X10)
             => ( p(ap(ap(c_2Ebool_2EIN(X10),X14),ap(ap(c_2Epred__set_2EDELETE(X10),X11),X15)))
              <=> ( ( X14 != X15 )
                  & p(ap(ap(c_2Ebool_2EIN(X10),X14),X11)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Epred__set_2EIN__DELETE) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : ITP004_2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n018.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   : Mon Aug 29 23:30:39 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.43  % (11542)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.44  % (11534)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.48  % (11550)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.48  TRYING [1,1,1]
% 0.19/0.49  TRYING [1,2,1]
% 0.19/0.49  TRYING [2,2,1]
% 0.19/0.50  % (11534)Instruction limit reached!
% 0.19/0.50  % (11534)------------------------------
% 0.19/0.50  % (11534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (11534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (11534)Termination reason: Unknown
% 0.19/0.51  % (11534)Termination phase: Finite model building SAT solving
% 0.19/0.51  
% 0.19/0.51  % (11534)Memory used [KB]: 6908
% 0.19/0.51  % (11534)Time elapsed: 0.115 s
% 0.19/0.51  % (11534)Instructions burned: 53 (million)
% 0.19/0.51  % (11534)------------------------------
% 0.19/0.51  % (11534)------------------------------
% 0.19/0.52  % (11556)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52  % (11551)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52  % (11542)Instruction limit reached!
% 0.19/0.52  % (11542)------------------------------
% 0.19/0.52  % (11542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (11542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (11542)Termination reason: Unknown
% 0.19/0.52  % (11542)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (11542)Memory used [KB]: 6908
% 0.19/0.52  % (11542)Time elapsed: 0.039 s
% 0.19/0.52  % (11542)Instructions burned: 68 (million)
% 0.19/0.52  % (11542)------------------------------
% 0.19/0.52  % (11542)------------------------------
% 1.27/0.53  % (11533)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.27/0.53  % (11552)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.27/0.53  % (11530)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.53  % (11529)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.27/0.53  % (11543)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.27/0.53  % (11547)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.27/0.53  % (11546)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.27/0.53  % (11528)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.27/0.53  % (11558)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.27/0.54  % (11557)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.27/0.54  % (11535)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.27/0.54  % (11538)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.27/0.54  % (11545)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.27/0.54  % (11527)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.27/0.54  % (11544)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.54  % (11532)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.54  % (11540)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.27/0.54  % (11537)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.54  % (11539)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.27/0.54  % (11528)Refutation not found, incomplete strategy% (11528)------------------------------
% 1.27/0.54  % (11528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.54  % (11528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.54  % (11528)Termination reason: Refutation not found, incomplete strategy
% 1.27/0.54  
% 1.27/0.54  % (11528)Memory used [KB]: 5628
% 1.27/0.54  % (11528)Time elapsed: 0.143 s
% 1.27/0.54  % (11528)Instructions burned: 7 (million)
% 1.27/0.54  % (11528)------------------------------
% 1.27/0.54  % (11528)------------------------------
% 1.27/0.55  % (11555)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.53/0.55  % (11535)Instruction limit reached!
% 1.53/0.55  % (11535)------------------------------
% 1.53/0.55  % (11535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (11536)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.53/0.55  % (11548)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.53/0.55  TRYING [1,1,1]
% 1.53/0.55  % (11541)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.56  % (11549)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.53/0.56  % (11536)Instruction limit reached!
% 1.53/0.56  % (11536)------------------------------
% 1.53/0.56  % (11536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (11554)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.53/0.56  % (11536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (11536)Termination reason: Unknown
% 1.53/0.56  % (11536)Termination phase: Blocked clause elimination
% 1.53/0.56  
% 1.53/0.56  % (11536)Memory used [KB]: 1023
% 1.53/0.56  % (11536)Time elapsed: 0.005 s
% 1.53/0.56  % (11536)Instructions burned: 4 (million)
% 1.53/0.56  % (11536)------------------------------
% 1.53/0.56  % (11536)------------------------------
% 1.53/0.56  % (11535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (11535)Termination reason: Unknown
% 1.53/0.56  % (11535)Termination phase: Saturation
% 1.53/0.56  
% 1.53/0.56  % (11535)Memory used [KB]: 5628
% 1.53/0.56  % (11535)Time elapsed: 0.147 s
% 1.53/0.56  % (11535)Instructions burned: 8 (million)
% 1.53/0.56  % (11535)------------------------------
% 1.53/0.56  % (11535)------------------------------
% 1.53/0.57  TRYING [1,2,1]
% 1.53/0.57  TRYING [2,2,1]
% 1.53/0.58  TRYING [1,1,1]
% 1.53/0.58  TRYING [1,2,1]
% 1.53/0.59  % (11529)Instruction limit reached!
% 1.53/0.59  % (11529)------------------------------
% 1.53/0.59  % (11529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60  TRYING [1,3,1]
% 1.53/0.60  % (11529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60  % (11529)Termination reason: Unknown
% 1.53/0.60  % (11529)Termination phase: Saturation
% 1.53/0.60  
% 1.53/0.60  % (11529)Memory used [KB]: 1663
% 1.53/0.60  % (11529)Time elapsed: 0.188 s
% 1.53/0.60  % (11529)Instructions burned: 39 (million)
% 1.53/0.60  % (11529)------------------------------
% 1.53/0.60  % (11529)------------------------------
% 1.53/0.61  TRYING [2,2,1]
% 1.53/0.61  % (11653)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.53/0.61  % (11530)Instruction limit reached!
% 1.53/0.61  % (11530)------------------------------
% 1.53/0.61  % (11530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.61  % (11530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.61  % (11530)Termination reason: Unknown
% 1.53/0.61  % (11530)Termination phase: Saturation
% 1.53/0.61  
% 1.53/0.61  % (11530)Memory used [KB]: 6268
% 1.53/0.61  % (11530)Time elapsed: 0.210 s
% 1.53/0.61  % (11530)Instructions burned: 52 (million)
% 1.53/0.61  % (11530)------------------------------
% 1.53/0.61  % (11530)------------------------------
% 1.53/0.61  % (11532)Instruction limit reached!
% 1.53/0.61  % (11532)------------------------------
% 1.53/0.61  % (11532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (11533)Instruction limit reached!
% 1.53/0.62  % (11533)------------------------------
% 1.53/0.62  % (11533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (11533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (11533)Termination reason: Unknown
% 1.53/0.62  % (11533)Termination phase: Saturation
% 1.53/0.62  
% 1.53/0.62  % (11533)Memory used [KB]: 6140
% 1.53/0.62  % (11533)Time elapsed: 0.216 s
% 1.53/0.62  % (11533)Instructions burned: 49 (million)
% 1.53/0.62  % (11533)------------------------------
% 1.53/0.62  % (11533)------------------------------
% 1.53/0.62  % (11538)Instruction limit reached!
% 1.53/0.62  % (11538)------------------------------
% 1.53/0.62  % (11538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62  % (11532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62  % (11532)Termination reason: Unknown
% 1.53/0.62  % (11532)Termination phase: Saturation
% 1.53/0.62  
% 1.53/0.62  % (11532)Memory used [KB]: 6652
% 1.53/0.62  % (11532)Time elapsed: 0.210 s
% 1.53/0.62  % (11532)Instructions burned: 51 (million)
% 1.53/0.62  % (11532)------------------------------
% 1.53/0.62  % (11532)------------------------------
% 1.53/0.63  % (11538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.63  % (11538)Termination reason: Unknown
% 1.53/0.63  % (11538)Termination phase: Saturation
% 1.53/0.63  
% 1.53/0.63  % (11538)Memory used [KB]: 6268
% 1.53/0.63  % (11538)Time elapsed: 0.207 s
% 1.53/0.63  % (11538)Instructions burned: 50 (million)
% 1.53/0.63  % (11538)------------------------------
% 1.53/0.63  % (11538)------------------------------
% 1.53/0.63  % (11657)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.13/0.64  % (11537)Instruction limit reached!
% 2.13/0.64  % (11537)------------------------------
% 2.13/0.64  % (11537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (11545)Instruction limit reached!
% 2.13/0.64  % (11545)------------------------------
% 2.13/0.64  % (11545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64  % (11545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (11545)Termination reason: Unknown
% 2.13/0.64  % (11545)Termination phase: Finite model building SAT solving
% 2.13/0.64  
% 2.13/0.64  % (11545)Memory used [KB]: 6908
% 2.13/0.64  % (11545)Time elapsed: 0.200 s
% 2.13/0.64  % (11545)Instructions burned: 60 (million)
% 2.13/0.64  % (11545)------------------------------
% 2.13/0.64  % (11545)------------------------------
% 2.13/0.64  % (11537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64  % (11537)Termination reason: Unknown
% 2.13/0.64  % (11537)Termination phase: Saturation
% 2.13/0.64  
% 2.13/0.64  % (11537)Memory used [KB]: 1663
% 2.13/0.64  % (11537)Time elapsed: 0.228 s
% 2.13/0.64  % (11537)Instructions burned: 52 (million)
% 2.13/0.64  % (11537)------------------------------
% 2.13/0.64  % (11537)------------------------------
% 2.13/0.65  TRYING [1,2,2]
% 2.13/0.65  % (11555)Instruction limit reached!
% 2.13/0.65  % (11555)------------------------------
% 2.13/0.65  % (11555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.67  % (11543)First to succeed.
% 2.13/0.67  % (11555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.67  % (11555)Termination reason: Unknown
% 2.13/0.67  % (11555)Termination phase: Saturation
% 2.13/0.67  
% 2.13/0.67  % (11555)Memory used [KB]: 7036
% 2.13/0.67  % (11555)Time elapsed: 0.035 s
% 2.13/0.67  % (11555)Instructions burned: 68 (million)
% 2.13/0.67  % (11555)------------------------------
% 2.13/0.67  % (11555)------------------------------
% 2.13/0.67  % (11543)Refutation found. Thanks to Tanya!
% 2.13/0.67  % SZS status Theorem for theBenchmark
% 2.13/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.67  % (11543)------------------------------
% 2.13/0.67  % (11543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.67  % (11543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.67  % (11543)Termination reason: Refutation
% 2.13/0.67  
% 2.13/0.67  % (11543)Memory used [KB]: 2302
% 2.13/0.67  % (11543)Time elapsed: 0.233 s
% 2.13/0.67  % (11543)Instructions burned: 70 (million)
% 2.13/0.67  % (11543)------------------------------
% 2.13/0.67  % (11543)------------------------------
% 2.13/0.67  % (11523)Success in time 0.31 s
%------------------------------------------------------------------------------