TSTP Solution File: ITP011+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ITP011+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n011.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 : Mon Jun 24 09:33:19 EDT 2024

% Result   : Theorem 1.93s 0.68s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   97 (  12 unt;   0 def)
%            Number of atoms       :  314 ( 150 equ)
%            Maximal formula atoms :   27 (   3 avg)
%            Number of connectives :  306 (  89   ~; 102   |;  76   &)
%                                         (  20 <=>;  18  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-5 aty)
%            Number of functors    :   23 (  23 usr;   9 con; 0-5 aty)
%            Number of variables   :  208 ( 200   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1161,plain,
    $false,
    inference(avatar_sat_refutation,[],[f161,f177,f326,f403,f533,f663,f1160]) ).

fof(f1160,plain,
    ( ~ spl9_5
    | ~ spl9_6 ),
    inference(avatar_contradiction_clause,[],[f1159]) ).

fof(f1159,plain,
    ( $false
    | ~ spl9_5
    | ~ spl9_6 ),
    inference(subsumption_resolution,[],[f1158,f105]) ).

fof(f105,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f1158,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
    | ~ spl9_5
    | ~ spl9_6 ),
    inference(forward_demodulation,[],[f1157,f175]) ).

fof(f175,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))
    | ~ spl9_6 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f174,plain,
    ( spl9_6
  <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).

fof(f1157,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1))))
    | ~ spl9_5 ),
    inference(forward_demodulation,[],[f1156,f894]) ).

fof(f894,plain,
    ( s(sK0,sK2) = s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))
    | ~ spl9_5 ),
    inference(unit_resulting_resolution,[],[f885,f126]) ).

fof(f126,plain,
    ! [X0,X26,X27] :
      ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X26))) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X27)))
      | s(X0,X26) = s(X0,X27) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5] : s(tyop_2Eoption_2Eoption(X0),X5) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X0),X5)))))
      & s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ENONE_2E0)))
      & ! [X6] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X6),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
      & ! [X7,X8] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X8))))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(X0,X8)))))
      & ! [X9,X10,X11] : s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X9))),s(X1,X10),s(tyop_2Emin_2Efun(X0,X1),X11))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X9)))
      & ! [X12,X13] : s(X1,X12) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(X1,X12),s(tyop_2Emin_2Efun(X0,X1),X13)))
      & ! [X14] :
          ( s(tyop_2Eoption_2Eoption(X0),X14) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X14),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0)))
          | ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X14)))) )
      & ! [X15] :
          ( s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X15),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X15)))))
          | ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X15)))) )
      & ! [X16] :
          ( s(X1,X4) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X16),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2)))
          | ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X16)))) )
      & ! [X17] : s(tyop_2Eoption_2Eoption(X0),X17) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0)))
      & ! [X18] : s(tyop_2Eoption_2Eoption(X0),X18) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X18),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0)))
      & ! [X19] :
          ( s(tyop_2Eoption_2Eoption(X0),X19) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X19)))))
          | ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X19)))) )
      & ! [X20] :
          ( ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X20))))
        <=> s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X20) )
      & ! [X21] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X21))))
        <=> s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X21) )
      & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
      & ! [X22] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))))
      & ! [X23] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23)))
      & ! [X24] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24)))
      & ! [X25] : s(X0,X25) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X25)))))
      & ! [X26,X27] :
          ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X26))) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X27)))
        <=> s(X0,X26) = s(X0,X27) ) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5] : s(tyop_2Eoption_2Eoption(X0),X5) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X0),X5)))))
      & s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ENONE_2E0)))
      & ! [X6] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X6),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
      & ! [X7,X8] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X8))))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X7),s(X0,X8)))))
      & ! [X9,X10,X11] : s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X9))),s(X1,X10),s(tyop_2Emin_2Efun(X0,X1),X11))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X11),s(X0,X9)))
      & ! [X12,X13] : s(X1,X12) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(X1,X12),s(tyop_2Emin_2Efun(X0,X1),X13)))
      & ! [X14] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X14))))
         => s(tyop_2Eoption_2Eoption(X0),X14) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X14),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
      & ! [X15] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X15))))
         => s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X15),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X15))))) )
      & ! [X16] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X16))))
         => s(X1,X4) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X16),s(X1,X4),s(tyop_2Emin_2Efun(X0,X1),X2))) )
      & ! [X17] : s(tyop_2Eoption_2Eoption(X0),X17) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0)))
      & ! [X18] : s(tyop_2Eoption_2Eoption(X0),X18) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X18),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0)))
      & ! [X19] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X19))))
         => s(tyop_2Eoption_2Eoption(X0),X19) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X19))))) )
      & ! [X20] :
          ( ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X20))))
        <=> s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X20) )
      & ! [X21] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X21))))
        <=> s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X21) )
      & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
      & ! [X22] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))))
      & ! [X23] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23)))
      & ! [X24] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24)))
      & ! [X25] : s(X0,X25) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X25)))))
      & ! [X26,X27] :
          ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X26))) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X27)))
        <=> s(X0,X26) = s(X0,X27) ) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2,X17,X18] :
      ( ! [X41] : s(tyop_2Eoption_2Eoption(X0),X41) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E1(s(tyop_2Eoption_2Eoption(X0),X41)))))
      & s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2EOPTION__JOIN_2E1(s(tyop_2Eoption_2Eoption(tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ENONE_2E0)))
      & ! [X40] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X40),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0)
      & ! [X38,X39] : s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2EOPTION__MAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X38),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X39))))) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X38),s(X0,X39)))))
      & ! [X35,X36,X37] : s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X35))),s(X1,X36),s(tyop_2Emin_2Efun(X0,X1),X37))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X37),s(X0,X35)))
      & ! [X33,X34] : s(X1,X33) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(X1,X33),s(tyop_2Emin_2Efun(X0,X1),X34)))
      & ! [X32] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X32))))
         => s(tyop_2Eoption_2Eoption(X0),X32) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X32),s(tyop_2Eoption_2Eoption(X0),X17),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0))) )
      & ! [X31] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X31))))
         => s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X31),s(X1,X18),s(tyop_2Emin_2Efun(X0,X1),X2))) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X2),s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X31))))) )
      & ! [X30] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X30))))
         => s(X1,X18) = s(X1,c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X30),s(X1,X18),s(tyop_2Emin_2Efun(X0,X1),X2))) )
      & ! [X29] : s(tyop_2Eoption_2Eoption(X0),X29) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X29),s(tyop_2Eoption_2Eoption(X0),X29),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0)))
      & ! [X28] : s(tyop_2Eoption_2Eoption(X0),X28) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2Eoption__CASE_2E3(s(tyop_2Eoption_2Eoption(X0),X28),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0)))
      & ! [X27] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X27))))
         => s(tyop_2Eoption_2Eoption(X0),X27) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),X27))))) )
      & ! [X26] :
          ( ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),X26))))
        <=> s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X26) )
      & ! [X25] :
          ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__NONE_2E1(s(tyop_2Eoption_2Eoption(X0),X25))))
        <=> s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X25) )
      & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
      & ! [X24] : s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EIS__SOME_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24)))))
      & ! [X23] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X23)))
      & ! [X22] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X22)))
      & ! [X21] : s(X0,X21) = s(X0,c_2Eoption_2ETHE_2E1(s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X21)))))
      & ! [X19,X20] :
          ( s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X19))) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X20)))
        <=> s(X0,X19) = s(X0,X20) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f885,plain,
    ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))))
    | ~ spl9_5 ),
    inference(unit_resulting_resolution,[],[f884,f110]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP5(X4,X3,X2,X1,X0)
      | s(tyop_2Eoption_2Eoption(X0),X3) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,sK6(X0,X1,X2,X3,X4)))) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3,X4] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4))))
    <=> ( ? [X5,X6] :
            ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X1,X6))))
            & s(tyop_2Eoption_2Eoption(X1),X4) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X6)))
            & s(tyop_2Eoption_2Eoption(X0),X3) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5))) )
        | ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),X4)
          & s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X3) ) ) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X42,X11,X43] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X42),s(tyop_2Eoption_2Eoption(X0),X11),s(tyop_2Eoption_2Eoption(X1),X43))))
    <=> ( ? [X44,X45] :
            ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X42),s(X0,X44))),s(X1,X45))))
            & s(tyop_2Eoption_2Eoption(X1),X43) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X45)))
            & s(tyop_2Eoption_2Eoption(X0),X11) = s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X44))) )
        | ( s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),X43)
          & s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X11) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f884,plain,
    ( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f883,f128]) ).

fof(f128,plain,
    ! [X0,X24] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X24))),
    inference(cnf_transformation,[],[f72]) ).

fof(f883,plain,
    ( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
    | s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2)))
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f840,f103]) ).

fof(f103,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f840,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
    | sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
    | s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2)))
    | ~ spl9_5 ),
    inference(superposition,[],[f114,f172]) ).

fof(f172,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl9_5
  <=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f114,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4))))
      | sP5(X4,X3,X2,X1,X0)
      | s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X0),X3) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f1156,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))),s(sK0,sK1))))
    | ~ spl9_5 ),
    inference(subsumption_resolution,[],[f1133,f884]) ).

fof(f1133,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))),s(sK0,sK1))))
    | ~ sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
    | ~ spl9_5 ),
    inference(superposition,[],[f112,f990]) ).

fof(f990,plain,
    ( s(sK0,sK1) = s(sK0,sK7(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))
    | ~ spl9_5 ),
    inference(unit_resulting_resolution,[],[f886,f126]) ).

fof(f886,plain,
    ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK7(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))))
    | ~ spl9_5 ),
    inference(unit_resulting_resolution,[],[f884,f111]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP5(X4,X3,X2,X1,X0)
      | s(tyop_2Eoption_2Eoption(X1),X4) = s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,sK7(X0,X1,X2,X3,X4)))) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1,X4] :
      ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,sK6(X0,X1,X2,X3,X4)))),s(X1,sK7(X0,X1,X2,X3,X4)))))
      | ~ sP5(X4,X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f663,plain,
    spl9_3,
    inference(avatar_contradiction_clause,[],[f662]) ).

fof(f662,plain,
    ( $false
    | spl9_3 ),
    inference(subsumption_resolution,[],[f658,f128]) ).

fof(f658,plain,
    ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK7(sK0,sK0,sK3,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),c_2Eoption_2ENONE_2E0))))
    | spl9_3 ),
    inference(resolution,[],[f598,f111]) ).

fof(f598,plain,
    ( sP5(c_2Eoption_2ENONE_2E0,c_2Eoption_2ESOME_2E1(s(sK0,sK2)),sK3,sK0,sK0)
    | spl9_3 ),
    inference(unit_resulting_resolution,[],[f128,f592,f114]) ).

fof(f592,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0))))
    | spl9_3 ),
    inference(unit_resulting_resolution,[],[f105,f156,f75]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( p(s(tyop_2Emin_2Ebool,X1))
      | p(s(tyop_2Emin_2Ebool,X0))
      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
      | ( p(s(tyop_2Emin_2Ebool,X0))
      <~> p(s(tyop_2Emin_2Ebool,X1)) ) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( p(s(tyop_2Emin_2Ebool,X0))
      <=> p(s(tyop_2Emin_2Ebool,X1)) )
     => s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X5,X6] :
      ( ( p(s(tyop_2Emin_2Ebool,X5))
      <=> p(s(tyop_2Emin_2Ebool,X6)) )
     => s(tyop_2Emin_2Ebool,X5) = s(tyop_2Emin_2Ebool,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f156,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))
    | spl9_3 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl9_3
  <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f533,plain,
    spl9_2,
    inference(avatar_contradiction_clause,[],[f532]) ).

fof(f532,plain,
    ( $false
    | spl9_2 ),
    inference(subsumption_resolution,[],[f527,f128]) ).

fof(f527,plain,
    ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK6(sK0,sK0,sK3,c_2Eoption_2ENONE_2E0,c_2Eoption_2ESOME_2E1(s(sK0,sK1))))))
    | spl9_2 ),
    inference(resolution,[],[f468,f110]) ).

fof(f468,plain,
    ( sP5(c_2Eoption_2ESOME_2E1(s(sK0,sK1)),c_2Eoption_2ENONE_2E0,sK3,sK0,sK0)
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f128,f462,f115]) ).

fof(f115,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4))))
      | sP5(X4,X3,X2,X1,X0)
      | s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) = s(tyop_2Eoption_2Eoption(X1),X4) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f462,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))))
    | spl9_2 ),
    inference(unit_resulting_resolution,[],[f105,f152,f75]) ).

fof(f152,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))
    | spl9_2 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl9_2
  <=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f403,plain,
    spl9_4,
    inference(avatar_contradiction_clause,[],[f402]) ).

fof(f402,plain,
    ( $false
    | spl9_4 ),
    inference(trivial_inequality_removal,[],[f401]) ).

fof(f401,plain,
    ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)
    | spl9_4 ),
    inference(duplicate_literal_removal,[],[f390]) ).

fof(f390,plain,
    ( s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)
    | s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)
    | spl9_4 ),
    inference(resolution,[],[f340,f113]) ).

fof(f113,plain,
    ! [X2,X3,X0,X1,X4] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4))))
      | s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X1),X4)
      | s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0) != s(tyop_2Eoption_2Eoption(X0),X3) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f340,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0))))
    | spl9_4 ),
    inference(unit_resulting_resolution,[],[f103,f160,f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ p(s(tyop_2Emin_2Ebool,X0))
      | ~ p(s(tyop_2Emin_2Ebool,X1))
      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f160,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))
    | spl9_4 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f158,plain,
    ( spl9_4
  <=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f326,plain,
    ( spl9_1
    | spl9_6 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | spl9_1
    | spl9_6 ),
    inference(subsumption_resolution,[],[f324,f235]) ).

fof(f235,plain,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))))
    | spl9_1
    | spl9_6 ),
    inference(unit_resulting_resolution,[],[f148,f185,f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ p(s(tyop_2Emin_2Ebool,X0))
      | ~ p(s(tyop_2Emin_2Ebool,X1))
      | s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
      | ( ~ p(s(tyop_2Emin_2Ebool,X0))
        & p(s(tyop_2Emin_2Ebool,X1)) )
      | ( ~ p(s(tyop_2Emin_2Ebool,X1))
        & p(s(tyop_2Emin_2Ebool,X0)) ) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1)
      | ( ~ p(s(tyop_2Emin_2Ebool,X0))
        & p(s(tyop_2Emin_2Ebool,X1)) )
      | ( ~ p(s(tyop_2Emin_2Ebool,X1))
        & p(s(tyop_2Emin_2Ebool,X0)) ) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( p(s(tyop_2Emin_2Ebool,X0))
       => p(s(tyop_2Emin_2Ebool,X1)) )
     => ( ( p(s(tyop_2Emin_2Ebool,X1))
         => p(s(tyop_2Emin_2Ebool,X0)) )
       => s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,X1) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X15,X16] :
      ( ( p(s(tyop_2Emin_2Ebool,X15))
       => p(s(tyop_2Emin_2Ebool,X16)) )
     => ( ( p(s(tyop_2Emin_2Ebool,X16))
         => p(s(tyop_2Emin_2Ebool,X15)) )
       => s(tyop_2Emin_2Ebool,X15) = s(tyop_2Emin_2Ebool,X16) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f185,plain,
    ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1))))
    | spl9_6 ),
    inference(unit_resulting_resolution,[],[f105,f176,f75]) ).

fof(f176,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))
    | spl9_6 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f148,plain,
    ( s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))
    | spl9_1 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl9_1
  <=> s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f324,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))))
    | spl9_6 ),
    inference(forward_demodulation,[],[f323,f107]) ).

fof(f107,plain,
    ! [X0,X1] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1))) = s(tyop_2Eoption_2Eoption(X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0),s(X0,X1))),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1))) = s(tyop_2Eoption_2Eoption(X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0),s(X0,X1))),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X12] : s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X12))) = s(tyop_2Eoption_2Eoption(X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Eoption_2Eoption(X0)),c_2Eoption_2ESOME_2E0),s(X0,X12))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f323,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))))
    | spl9_6 ),
    inference(forward_demodulation,[],[f320,f107]) ).

fof(f320,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK1))))))
    | spl9_6 ),
    inference(unit_resulting_resolution,[],[f260,f116]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1,X4] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Eoption_2Eoption(X0),X3),s(tyop_2Eoption_2Eoption(X1),X4))))
      | ~ sP5(X4,X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f260,plain,
    ( sP5(app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK1)),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK2)),sK3,sK0,sK0)
    | spl9_6 ),
    inference(unit_resulting_resolution,[],[f107,f207,f142]) ).

fof(f142,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( s(tyop_2Eoption_2Eoption(X0),X3) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5)))
      | sP5(X4,X3,X2,X1,X0)
      | sP8(X2,X4,X0,X5,X1) ),
    inference(cnf_transformation,[],[f142_D]) ).

fof(f142_D,plain,
    ! [X1,X5,X0,X4,X2] :
      ( ! [X3] :
          ( s(tyop_2Eoption_2Eoption(X0),X3) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5)))
          | sP5(X4,X3,X2,X1,X0) )
    <=> ~ sP8(X2,X4,X0,X5,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).

fof(f207,plain,
    ( ~ sP8(sK3,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Eoption_2Eoption(sK0)),c_2Eoption_2ESOME_2E0),s(sK0,sK1)),sK0,sK2,sK0)
    | spl9_6 ),
    inference(unit_resulting_resolution,[],[f107,f185,f143]) ).

fof(f143,plain,
    ! [X2,X0,X1,X6,X4,X5] :
      ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X1,X6))))
      | s(tyop_2Eoption_2Eoption(X1),X4) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X6)))
      | ~ sP8(X2,X4,X0,X5,X1) ),
    inference(general_splitting,[],[f109,f142_D]) ).

fof(f109,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( s(tyop_2Eoption_2Eoption(X0),X3) != s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X5)))
      | s(tyop_2Eoption_2Eoption(X1),X4) != s(tyop_2Eoption_2Eoption(X1),c_2Eoption_2ESOME_2E1(s(X1,X6)))
      | ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(X0,X5))),s(X1,X6))))
      | sP5(X4,X3,X2,X1,X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f177,plain,
    ( spl9_5
    | ~ spl9_6
    | spl9_1 ),
    inference(avatar_split_clause,[],[f168,f146,f174,f170]) ).

fof(f168,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1)))
    | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))
    | spl9_1 ),
    inference(superposition,[],[f148,f81]) ).

fof(f81,plain,
    ! [X0] :
      ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
      | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] :
      ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X0)
      | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X0) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X7] :
      ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X7)
      | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f161,plain,
    ( ~ spl9_1
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4 ),
    inference(avatar_split_clause,[],[f73,f158,f154,f150,f146]) ).

fof(f73,plain,
    ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))
    | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0)))
    | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1)))))
    | s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK2))),s(tyop_2Eoption_2Eoption(sK0),c_2Eoption_2ESOME_2E1(s(sK0,sK1))))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(sK0,tyop_2Emin_2Efun(sK0,tyop_2Emin_2Ebool)),sK3),s(sK0,sK2))),s(sK0,sK1))) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ? [X0,X1,X2,X3] :
      ( s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1))))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(X0,X2))),s(X0,X1)))
      | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1)))))
      | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
      | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0,X1,X2,X3] :
        ( s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1))))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(X0,X2))),s(X0,X1)))
        & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X1)))))
        & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X2))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
        & s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X3),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) ),
    inference(rectify,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X0,X46,X11,X47] :
        ( s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46))))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(X0,X11))),s(X0,X46)))
        & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46)))))
        & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
        & s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X0,X46,X11,X47] :
      ( s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46))))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(X0,X11))),s(X0,X46)))
      & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X46)))))
      & s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ESOME_2E1(s(X0,X11))),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0)))
      & s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,c_2Eoption_2EOPTREL_2E3(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)),X47),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0),s(tyop_2Eoption_2Eoption(X0),c_2Eoption_2ENONE_2E0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ITP011+1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.11/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n011.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 Jun 18 22:07:39 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35  Running first-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (13539)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=103:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.43  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (13537)ott+1011_1:3_drc=encompass:sil=256000:bsd=on:sp=occurrence:sos=on:newcnf=on:i=214065:afp=1:aac=none:amm=off:afq=3.64962_0 on theBenchmark for (2999ds/214065Mi)
% 0.22/0.43  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (13542)lrs-1011_4:7_sil=2000:tgt=full:bsd=on:spb=goal:nwc=5.0:updr=off:newcnf=on:i=121:kws=arity_squared:rawr=on:bsdmm=2_0 on theBenchmark for (2999ds/121Mi)
% 0.22/0.43  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (13540)dis-1002_1:2_sil=4000:i=110:nm=2:ins=3:bd=off:fsr=off:rp=on:to=lpo:nwc=5.0:fd=off:sfv=off:fs=off_0 on theBenchmark for (2999ds/110Mi)
% 0.22/0.43  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (13541)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=107:bd=off:av=off_0 on theBenchmark for (2999ds/107Mi)
% 0.22/0.43  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (13538)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=231451:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/231451Mi)
% 0.22/0.43  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (13536)lrs-1011_16:31_bsr=on:drc=encompass:tgt=full:sp=unary_first:acc=on:updr=off:nicw=on:i=134284:sil=256000:si=on:rtra=on:to=lpo:spb=goal_then_units:nwc=5.23:urr=on:lwlo=on:fdi=20:fsd=on:awrs=decay_0 on theBenchmark for (2999ds/134284Mi)
% 0.22/0.45  % (13537)Refutation not found, incomplete strategy% (13537)------------------------------
% 0.22/0.45  % (13537)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (13537)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (13537)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45  
% 0.22/0.45  % (13537)Memory used [KB]: 1606
% 0.22/0.45  % (13537)Time elapsed: 0.023 s
% 0.22/0.45  % (13537)Instructions burned: 38 (million)
% 0.22/0.45  % (13537)------------------------------
% 0.22/0.45  % (13537)------------------------------
% 0.22/0.47  % (13539)Instruction limit reached!
% 0.22/0.47  % (13539)------------------------------
% 0.22/0.47  % (13539)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47  % (13539)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47  % (13539)Termination reason: Time limit
% 0.22/0.47  % (13539)Termination phase: Saturation
% 0.22/0.47  
% 0.22/0.47  % (13539)Memory used [KB]: 1590
% 0.22/0.47  % (13539)Time elapsed: 0.047 s
% 0.22/0.47  % (13539)Instructions burned: 103 (million)
% 0.22/0.48  % (13540)Instruction limit reached!
% 0.22/0.48  % (13540)------------------------------
% 0.22/0.48  % (13540)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (13540)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (13540)Termination reason: Time limit
% 0.22/0.48  % (13540)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (13540)Memory used [KB]: 3501
% 0.22/0.48  % (13540)Time elapsed: 0.058 s
% 0.22/0.48  % (13540)Instructions burned: 110 (million)
% 0.22/0.48  % (13541)Instruction limit reached!
% 0.22/0.48  % (13541)------------------------------
% 0.22/0.48  % (13541)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (13541)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (13541)Termination reason: Time limit
% 0.22/0.48  % (13541)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (13541)Memory used [KB]: 1987
% 0.22/0.48  % (13541)Time elapsed: 0.062 s
% 0.22/0.48  % (13541)Instructions burned: 109 (million)
% 0.22/0.48  % (13542)Instruction limit reached!
% 0.22/0.48  % (13542)------------------------------
% 0.22/0.48  % (13542)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48  % (13542)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48  % (13542)Termination reason: Time limit
% 0.22/0.48  % (13542)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  % (13542)Memory used [KB]: 2796
% 0.22/0.48  % (13542)Time elapsed: 0.062 s
% 0.22/0.48  % (13542)Instructions burned: 123 (million)
% 0.22/0.50  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50  % (13544)lrs-21_1:1_sil=4000:sos=on:lcm=predicate:i=107:sd=2:ss=axioms_0 on theBenchmark for (2999ds/107Mi)
% 0.22/0.50  % (13544)Refutation not found, incomplete strategy% (13544)------------------------------
% 0.22/0.50  % (13544)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50  % (13544)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50  % (13544)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50  
% 0.22/0.50  % (13544)Memory used [KB]: 1229
% 0.22/0.50  % (13544)Time elapsed: 0.004 s
% 0.22/0.50  % (13544)Instructions burned: 8 (million)
% 0.22/0.50  % (13544)------------------------------
% 0.22/0.50  % (13544)------------------------------
% 0.22/0.51  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.51  % (13545)lrs+1011_1166409:524288_bsr=unit_only:to=lpo:drc=off:sil=2000:fde=unused:avsql=on:etr=on:sp=occurrence:spb=goal_then_units:lsd=50:rp=on:nwc=6.05391:avsqc=5:sac=on:newcnf=on:avsq=on:i=132:bs=unit_only:afp=300:aac=none:avsqr=13677,1048576:nm=0:ins=3:fsr=off:fsd=on:afq=4.16901:uhcvi=on:afr=on:rawr=on:fsdmm=3:gsp=on_0 on theBenchmark for (2998ds/132Mi)
% 0.22/0.52  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52  % (13546)dis-1010_1:12_sil=2000:sims=off:bce=on:nwc=2.0:newcnf=on:s2a=on:i=150:s2at=2.0:bd=off:fsr=off:irw=on:alpa=false:rawr=on:sp=occurrence_0 on theBenchmark for (2998ds/150Mi)
% 0.22/0.52  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52  % (13547)dis+10_52093:131072_drc=off:sil=2000:tgt=ground:irw=on:foolp=on:lma=on:urr=ec_only:nwc=5.20774:st=1.5:i=124:sd=2:kws=inv_frequency:nm=7:ins=3:av=off:uhcvi=on:ss=axioms:rawr=on_0 on theBenchmark for (2998ds/124Mi)
% 0.22/0.52  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52  % (13548)lrs+11_1:1024_sil=2000:spb=units:rp=on:updr=off:st=6.0:i=109:sd=3:ss=axioms:sac=on:ep=R_0 on theBenchmark for (2998ds/109Mi)
% 0.22/0.54  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.54  % (13549)dis+1011_3:7_to=lpo:sos=on:spb=goal_then_units:abs=on:lsd=20:st=1.5:i=113:sd=2:aac=none:awrs=decay:bd=off:ss=axioms:sgt=32:flr=on:sil=256000:nm=26_0 on theBenchmark for (2998ds/113Mi)
% 0.22/0.55  % (13548)Instruction limit reached!
% 0.22/0.55  % (13548)------------------------------
% 0.22/0.55  % (13548)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.55  % (13548)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.55  % (13548)Termination reason: Time limit
% 0.22/0.55  % (13548)Termination phase: Saturation
% 0.22/0.55  
% 0.22/0.55  % (13548)Memory used [KB]: 2101
% 0.22/0.55  % (13548)Time elapsed: 0.037 s
% 0.22/0.55  % (13548)Instructions burned: 109 (million)
% 0.22/0.56  % (13545)Instruction limit reached!
% 0.22/0.56  % (13545)------------------------------
% 0.22/0.56  % (13545)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56  % (13545)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56  % (13545)Termination reason: Time limit
% 0.22/0.56  % (13545)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (13545)Memory used [KB]: 2082
% 0.22/0.56  % (13545)Time elapsed: 0.044 s
% 0.22/0.56  % (13545)Instructions burned: 134 (million)
% 0.22/0.56  % (13547)Instruction limit reached!
% 0.22/0.56  % (13547)------------------------------
% 0.22/0.56  % (13547)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56  % (13547)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56  % (13547)Termination reason: Time limit
% 0.22/0.56  % (13547)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (13547)Memory used [KB]: 2330
% 0.22/0.56  % (13547)Time elapsed: 0.040 s
% 0.22/0.56  % (13547)Instructions burned: 124 (million)
% 0.22/0.56  % (13546)Instruction limit reached!
% 0.22/0.56  % (13546)------------------------------
% 0.22/0.56  % (13546)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.56  % (13546)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.56  % (13546)Termination reason: Time limit
% 0.22/0.56  % (13546)Termination phase: Saturation
% 0.22/0.56  
% 0.22/0.56  % (13546)Memory used [KB]: 2298
% 0.22/0.56  % (13546)Time elapsed: 0.049 s
% 0.22/0.56  % (13546)Instructions burned: 152 (million)
% 0.22/0.57  % (13549)Instruction limit reached!
% 0.22/0.57  % (13549)------------------------------
% 0.22/0.57  % (13549)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.57  % (13549)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.57  % (13549)Termination reason: Time limit
% 0.22/0.57  % (13549)Termination phase: Saturation
% 0.22/0.57  
% 0.22/0.57  % (13549)Memory used [KB]: 2234
% 0.22/0.57  % (13549)Time elapsed: 0.036 s
% 0.22/0.57  % (13549)Instructions burned: 116 (million)
% 0.22/0.59  % (13535)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.59  % (13550)dis+1002_1:1_sil=2000:tgt=full:spb=goal:avsq=on:i=173:avsqr=19,107:er=known:rawr=on:nwc=3.7:cond=fast:abs=on_0 on theBenchmark for (2998ds/173Mi)
% 1.70/0.59  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.59  % (13551)lrs+1011_1:128_sil=2000:sos=on:st=3.0:i=114:sd=5:bd=off:ss=axioms:av=off_0 on theBenchmark for (2998ds/114Mi)
% 1.70/0.59  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.59  % (13552)lrs+1011_1:1_sil=16000:fde=unused:plsqc=1:plsq=on:plsqr=32,1:sos=on:nwc=10.0:i=143:kws=frequency:nm=2:lsd=1:bd=off_0 on theBenchmark for (2998ds/143Mi)
% 1.70/0.60  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.70/0.60  % (13553)lrs+1011_649:65536_drc=encompass:sil=2000:tgt=ground:plsqc=1:plsq=on:plsqr=8,111:sp=reverse_frequency:plsql=on:newcnf=on:i=1659:afp=50:fsr=off:afq=3.63765:afr=on:ss=axioms:sgt=16:bd=off:cond=on_0 on theBenchmark for (2998ds/1659Mi)
% 1.70/0.60  % (13552)Refutation not found, incomplete strategy% (13552)------------------------------
% 1.70/0.60  % (13552)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.70/0.60  % (13552)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.70/0.60  % (13552)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.60  
% 1.70/0.60  % (13552)Memory used [KB]: 1459
% 1.70/0.60  % (13552)Time elapsed: 0.009 s
% 1.70/0.60  % (13552)Instructions burned: 23 (million)
% 1.70/0.60  % (13552)------------------------------
% 1.70/0.60  % (13552)------------------------------
% 1.83/0.61  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.83/0.61  % (13554)dis-1011_1:3_nwc=10.0:s2agt=8:s2a=on:i=145:bs=on:av=off:sp=occurrence:sil=2000:si=on:rtra=on:random_seed=2126866997:updr=off:bd=off_0 on theBenchmark for (2998ds/145Mi)
% 1.83/0.62  % (13551)Instruction limit reached!
% 1.83/0.62  % (13551)------------------------------
% 1.83/0.62  % (13551)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.83/0.62  % (13551)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.83/0.62  % (13551)Termination reason: Time limit
% 1.83/0.62  % (13551)Termination phase: Saturation
% 1.83/0.62  
% 1.83/0.62  % (13551)Memory used [KB]: 1593
% 1.83/0.62  % (13551)Time elapsed: 0.033 s
% 1.83/0.62  % (13551)Instructions burned: 116 (million)
% 1.93/0.63  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.63  % (13555)dis+1011_543:505_drc=encompass:sil=128000:tgt=full:etr=on:sp=frequency:nwc=4.8:avsqc=4:sac=on:avsq=on:st=7.0:i=151:kws=precedence:avsqr=2669309,1048576:awrs=converge:awrsf=975:bd=off:nm=16:ss=axioms:rawr=on:bsd=on:add=large_0 on theBenchmark for (2997ds/151Mi)
% 1.93/0.64  % (13550)Instruction limit reached!
% 1.93/0.64  % (13550)------------------------------
% 1.93/0.64  % (13550)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.64  % (13550)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.64  % (13550)Termination reason: Time limit
% 1.93/0.64  % (13550)Termination phase: Saturation
% 1.93/0.64  
% 1.93/0.64  % (13550)Memory used [KB]: 3485
% 1.93/0.64  % (13550)Time elapsed: 0.056 s
% 1.93/0.64  % (13550)Instructions burned: 175 (million)
% 1.93/0.65  % (13554)Instruction limit reached!
% 1.93/0.65  % (13554)------------------------------
% 1.93/0.65  % (13554)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.65  % (13554)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.65  % (13554)Termination reason: Time limit
% 1.93/0.65  % (13554)Termination phase: Saturation
% 1.93/0.65  
% 1.93/0.65  % (13554)Memory used [KB]: 2148
% 1.93/0.65  % (13554)Time elapsed: 0.047 s
% 1.93/0.65  % (13554)Instructions burned: 145 (million)
% 1.93/0.66  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.66  % (13556)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=224:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2997ds/224Mi)
% 1.93/0.68  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.68  % (13557)lrs+1002_1:1_sfv=off:drc=encompass:sil=2000:fde=unused:sp=frequency:nwc=10.0:flr=on:st=1.5:i=226:bd=off:nm=0:ins=4:fsr=off:fsd=on:ss=axioms:s2a=on:s2agt=32:to=lpo:aac=none:sims=off_0 on theBenchmark for (2997ds/226Mi)
% 1.93/0.68  % (13556)First to succeed.
% 1.93/0.68  % (13556)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13535"
% 1.93/0.68  % (13535)Running in auto input_syntax mode. Trying TPTP
% 1.93/0.68  % (13556)Refutation found. Thanks to Tanya!
% 1.93/0.68  % SZS status Theorem for theBenchmark
% 1.93/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.68  % (13556)------------------------------
% 1.93/0.68  % (13556)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.68  % (13556)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.68  % (13556)Termination reason: Refutation
% 1.93/0.68  
% 1.93/0.68  % (13556)Memory used [KB]: 1740
% 1.93/0.68  % (13556)Time elapsed: 0.024 s
% 1.93/0.68  % (13556)Instructions burned: 70 (million)
% 1.93/0.68  % (13556)------------------------------
% 1.93/0.68  % (13556)------------------------------
% 1.93/0.68  % (13535)Success in time 0.307 s
%------------------------------------------------------------------------------