TSTP Solution File: ITP021+4 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ITP021+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : Sat May  4 08:09:04 EDT 2024

% Result   : Theorem 58.60s 16.73s
% Output   : CNFRefutation 58.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   98 (  16 unt;   0 def)
%            Number of atoms       :  298 ( 103 equ)
%            Maximal formula atoms :   29 (   3 avg)
%            Number of connectives :  319 ( 119   ~; 120   |;  46   &)
%                                         (  21 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :  115 (   5 sgn  71   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm_2Eextreal_2Emax__le,conjecture,
    ! [X75,X12,X20] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))),s(tyop_2Eextreal_2Eextreal,X75))))
    <=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X75))))
        & p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X20),s(tyop_2Eextreal_2Eextreal,X75)))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Eextreal_2Emax__le) ).

fof(thm_2Eextreal_2Eextreal__max__def,axiom,
    ! [X9,X10] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))),s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9))),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Eextreal_2Eextreal__max__def) ).

fof(thm_2EHolSmt_2Ed018,axiom,
    ! [X1,X77,X12,X117] :
      ( ~ p(s(tyop_2Emin_2Ebool,X117))
      | s(X1,X12) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X117),s(X1,X12),s(X1,X77))) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2EHolSmt_2Ed018) ).

fof(thm_2Eextreal_2Ele__antisym,axiom,
    ! [X9,X10] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
        & p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9)))) )
    <=> s(tyop_2Eextreal_2Eextreal,X9) = s(tyop_2Eextreal_2Eextreal,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Eextreal_2Ele__antisym) ).

fof(reserved_2Eho_2Enotfalse,axiom,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',reserved_2Eho_2Enotfalse) ).

fof(thm_2Eextreal_2Ele__total,axiom,
    ! [X9,X10] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
      | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X9)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Eextreal_2Ele__total) ).

fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
    ! [X8] :
      ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
      <=> p(s(tyop_2Emin_2Ebool,X8)) )
      & ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      <=> p(s(tyop_2Emin_2Ebool,X8)) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
      <=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
      & ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
      <=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Ebool_2EEQ__CLAUSES) ).

fof(reserved_2Eho_2Ebool__cases__ax,axiom,
    ! [X8] :
      ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',reserved_2Eho_2Ebool__cases__ax) ).

fof(thm_2Ebool_2ECOND__CLAUSES,axiom,
    ! [X1,X41,X42] :
      ( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X41),s(X1,X42))) = s(X1,X41)
      & s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X41),s(X1,X42))) = s(X1,X42) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Ebool_2ECOND__CLAUSES) ).

fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
    ! [X8] :
      ( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
         => p(s(tyop_2Emin_2Ebool,X8)) )
      <=> p(s(tyop_2Emin_2Ebool,X8)) )
      & ( ( p(s(tyop_2Emin_2Ebool,X8))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
         => p(s(tyop_2Emin_2Ebool,X8)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,X8))
         => p(s(tyop_2Emin_2Ebool,X8)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,X8))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
      <=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Ebool_2EIMP__CLAUSES) ).

fof(thm_2EHolSmt_2Ed017,axiom,
    ! [X1,X77,X12,X117] :
      ( p(s(tyop_2Emin_2Ebool,X117))
      | s(X1,X77) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X117),s(X1,X12),s(X1,X77))) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2EHolSmt_2Ed017) ).

fof(thm_2Ebool_2ENOT__F,axiom,
    ! [X8] :
      ( ~ p(s(tyop_2Emin_2Ebool,X8))
     => s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Ebool_2ENOT__F) ).

fof(thm_2Eextreal_2Ele__trans,axiom,
    ! [X9,X10,X46] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X10))))
        & p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X10),s(tyop_2Eextreal_2Eextreal,X46)))) )
     => p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X9),s(tyop_2Eextreal_2Eextreal,X46)))) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Eextreal_2Ele__trans) ).

fof(reserved_2Eho_2Eboolext,axiom,
    ! [X6,X7] :
      ( ( p(s(tyop_2Emin_2Ebool,X6))
      <=> p(s(tyop_2Emin_2Ebool,X7)) )
     => s(tyop_2Emin_2Ebool,X6) = s(tyop_2Emin_2Ebool,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',reserved_2Eho_2Eboolext) ).

fof(thm_2Ebool_2EboolAxiom,axiom,
    ! [X1,X41,X42] :
    ? [X85] :
      ( s(X1,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X1),X85),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) = s(X1,X41)
      & s(X1,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X1),X85),s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))) = s(X1,X42) ),
    file('/export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p',thm_2Ebool_2EboolAxiom) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X75,X12,X20] :
        ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X20))),s(tyop_2Eextreal_2Eextreal,X75))))
      <=> ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X12),s(tyop_2Eextreal_2Eextreal,X75))))
          & p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X20),s(tyop_2Eextreal_2Eextreal,X75)))) ) ),
    inference(assume_negation,[status(cth)],[thm_2Eextreal_2Emax__le]) ).

fof(c_0_16,negated_conjecture,
    ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
      | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) )
    & ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
      | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).

fof(c_0_17,plain,
    ! [X16062,X16063] : s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X16062),s(tyop_2Eextreal_2Eextreal,X16063))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16062),s(tyop_2Eextreal_2Eextreal,X16063))),s(tyop_2Eextreal_2Eextreal,X16063),s(tyop_2Eextreal_2Eextreal,X16062))),
    inference(variable_rename,[status(thm)],[thm_2Eextreal_2Eextreal__max__def]) ).

fof(c_0_18,plain,
    ! [X1,X77,X12,X117] :
      ( ~ p(s(tyop_2Emin_2Ebool,X117))
      | s(X1,X12) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X117),s(X1,X12),s(X1,X77))) ),
    inference(fof_simplification,[status(thm)],[thm_2EHolSmt_2Ed018]) ).

fof(c_0_19,plain,
    ! [X16044,X16045] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16044),s(tyop_2Eextreal_2Eextreal,X16045))))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16045),s(tyop_2Eextreal_2Eextreal,X16044))))
        | s(tyop_2Eextreal_2Eextreal,X16044) = s(tyop_2Eextreal_2Eextreal,X16045) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16044),s(tyop_2Eextreal_2Eextreal,X16045))))
        | s(tyop_2Eextreal_2Eextreal,X16044) != s(tyop_2Eextreal_2Eextreal,X16045) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16045),s(tyop_2Eextreal_2Eextreal,X16044))))
        | s(tyop_2Eextreal_2Eextreal,X16044) != s(tyop_2Eextreal_2Eextreal,X16045) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__antisym])])])]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))),s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1))),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_22,plain,
    ! [X17948,X17949,X17950,X17951] :
      ( ~ p(s(tyop_2Emin_2Ebool,X17951))
      | s(X17948,X17950) = s(X17948,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17951),s(X17948,X17950),s(X17948,X17949))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).

cnf(c_0_23,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
    | s(tyop_2Eextreal_2Eextreal,X2) != s(tyop_2Eextreal_2Eextreal,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_24,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(fof_simplification,[status(thm)],[reserved_2Eho_2Enotfalse]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,plain,
    ( s(X2,X3) = s(X2,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X2,X3),s(X2,X4)))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_27,plain,
    ! [X16046,X16047] :
      ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16046),s(tyop_2Eextreal_2Eextreal,X16047))))
      | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16047),s(tyop_2Eextreal_2Eextreal,X16046)))) ),
    inference(variable_rename,[status(thm)],[thm_2Eextreal_2Ele__total]) ).

fof(c_0_28,plain,
    ! [X8] :
      ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X8)
      <=> p(s(tyop_2Emin_2Ebool,X8)) )
      & ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      <=> p(s(tyop_2Emin_2Ebool,X8)) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X8)
      <=> ~ p(s(tyop_2Emin_2Ebool,X8)) )
      & ( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
      <=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
    inference(fof_simplification,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).

cnf(c_0_29,negated_conjecture,
    ( s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_20,c_0_23]) ).

fof(c_0_30,plain,
    ! [X18983] :
      ( s(tyop_2Emin_2Ebool,X18983) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
      | s(tyop_2Emin_2Ebool,X18983) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).

fof(c_0_31,plain,
    ! [X18997,X18998,X18999] :
      ( s(X18997,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X18997,X18998),s(X18997,X18999))) = s(X18997,X18998)
      & s(X18997,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X18997,X18998),s(X18997,X18999))) = s(X18997,X18999) ),
    inference(variable_rename,[status(thm)],[thm_2Ebool_2ECOND__CLAUSES]) ).

fof(c_0_32,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(fof_nnf,[status(thm)],[c_0_24]) ).

fof(c_0_33,plain,
    ! [X8] :
      ( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
         => p(s(tyop_2Emin_2Ebool,X8)) )
      <=> p(s(tyop_2Emin_2Ebool,X8)) )
      & ( ( p(s(tyop_2Emin_2Ebool,X8))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
         => p(s(tyop_2Emin_2Ebool,X8)) )
      <=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      & ( ( p(s(tyop_2Emin_2Ebool,X8))
         => p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
      <=> ~ p(s(tyop_2Emin_2Ebool,X8)) ) ),
    inference(fof_simplification,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_35,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_36,plain,
    ! [X18996] :
      ( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X18996)
        | p(s(tyop_2Emin_2Ebool,X18996)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X18996))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X18996) )
      & ( s(tyop_2Emin_2Ebool,X18996) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
        | p(s(tyop_2Emin_2Ebool,X18996)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X18996))
        | s(tyop_2Emin_2Ebool,X18996) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) )
      & ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X18996)
        | ~ p(s(tyop_2Emin_2Ebool,X18996)) )
      & ( p(s(tyop_2Emin_2Ebool,X18996))
        | s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X18996) )
      & ( s(tyop_2Emin_2Ebool,X18996) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
        | ~ p(s(tyop_2Emin_2Ebool,X18996)) )
      & ( p(s(tyop_2Emin_2Ebool,X18996))
        | s(tyop_2Emin_2Ebool,X18996) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).

cnf(c_0_37,negated_conjecture,
    ( s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(rw,[status(thm)],[c_0_29,c_0_21]) ).

cnf(c_0_38,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_39,plain,
    s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X2),s(X1,X3))) = s(X1,X3),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_40,plain,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_41,plain,
    ! [X18995] :
      ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | p(s(tyop_2Emin_2Ebool,X18995)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X18995))
        | p(s(tyop_2Emin_2Ebool,X18995)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X18995))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | p(s(tyop_2Emin_2Ebool,X18995)) )
      & ( p(s(tyop_2Emin_2Ebool,X18995))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,X18995))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,X18995))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | p(s(tyop_2Emin_2Ebool,X18995)) )
      & p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
      & ( p(s(tyop_2Emin_2Ebool,X18995))
        | ~ p(s(tyop_2Emin_2Ebool,X18995)) )
      & ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
        | ~ p(s(tyop_2Emin_2Ebool,X18995)) )
      & ( p(s(tyop_2Emin_2Ebool,X18995))
        | ~ p(s(tyop_2Emin_2Ebool,X18995))
        | p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).

cnf(c_0_42,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_43,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_23]) ).

cnf(c_0_45,plain,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Eextreal_2Eextreal,X1) != s(tyop_2Eextreal_2Eextreal,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_38]),c_0_40]) ).

cnf(c_0_46,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_47,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | s(tyop_2Eextreal_2Eextreal,esk3_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).

cnf(c_0_49,plain,
    s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_50,plain,
    ( s(tyop_2Eextreal_2Eextreal,X1) = s(tyop_2Eextreal_2Eextreal,X2)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X1)))) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_51,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_46])]) ).

cnf(c_0_52,negated_conjecture,
    ( s(tyop_2Eextreal_2Eextreal,esk3_0) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_49])]),c_0_23]),c_0_23]) ).

fof(c_0_53,plain,
    ! [X17944,X17945,X17946,X17947] :
      ( p(s(tyop_2Emin_2Ebool,X17947))
      | s(X17944,X17945) = s(X17944,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17947),s(X17944,X17946),s(X17944,X17945))) ),
    inference(variable_rename,[status(thm)],[thm_2EHolSmt_2Ed017]) ).

cnf(c_0_54,negated_conjecture,
    ( s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_44]),c_0_52]) ).

cnf(c_0_55,plain,
    ( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_57,plain,
    ! [X8] :
      ( ~ p(s(tyop_2Emin_2Ebool,X8))
     => s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(fof_simplification,[status(thm)],[thm_2Ebool_2ENOT__F]) ).

cnf(c_0_58,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | s(X2,X3) = s(X2,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X1),s(X2,X4),s(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

fof(c_0_59,plain,
    ! [X16041,X16042,X16043] :
      ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16041),s(tyop_2Eextreal_2Eextreal,X16042))))
      | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16042),s(tyop_2Eextreal_2Eextreal,X16043))))
      | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X16041),s(tyop_2Eextreal_2Eextreal,X16043)))) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eextreal_2Ele__trans])])]) ).

cnf(c_0_60,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_61,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_35]) ).

cnf(c_0_62,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_63,plain,
    ! [X18992] :
      ( p(s(tyop_2Emin_2Ebool,X18992))
      | s(tyop_2Emin_2Ebool,X18992) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).

cnf(c_0_64,negated_conjecture,
    ( ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_58]),c_0_34]) ).

cnf(c_0_65,plain,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X3))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,X2))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X2),s(tyop_2Eextreal_2Eextreal,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))),s(tyop_2Eextreal_2Eextreal,esk1_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_21]) ).

cnf(c_0_68,plain,
    ( p(s(tyop_2Emin_2Ebool,X1))
    | s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_69,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_64,c_0_35]) ).

cnf(c_0_70,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_46])]) ).

cnf(c_0_71,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_58]),c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_35]) ).

cnf(c_0_73,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_55,c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_71]) ).

fof(c_0_75,plain,
    ! [X14909,X14910] :
      ( ( ~ p(s(tyop_2Emin_2Ebool,X14909))
        | ~ p(s(tyop_2Emin_2Ebool,X14910))
        | s(tyop_2Emin_2Ebool,X14909) = s(tyop_2Emin_2Ebool,X14910) )
      & ( p(s(tyop_2Emin_2Ebool,X14909))
        | p(s(tyop_2Emin_2Ebool,X14910))
        | s(tyop_2Emin_2Ebool,X14909) = s(tyop_2Emin_2Ebool,X14910) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reserved_2Eho_2Eboolext])])])]) ).

cnf(c_0_76,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0))))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_65,c_0_72]) ).

cnf(c_0_77,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk2_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_38]),c_0_39])]) ).

cnf(c_0_79,plain,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
    | ~ p(s(tyop_2Emin_2Ebool,X1))
    | ~ p(s(tyop_2Emin_2Ebool,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_80,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_81,plain,
    ! [X19006,X19007,X19008] :
      ( s(X19006,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X19006),esk414_3(X19006,X19007,X19008)),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) = s(X19006,X19007)
      & s(X19006,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X19006),esk414_3(X19006,X19007,X19008)),s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))) = s(X19006,X19008) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[thm_2Ebool_2EboolAxiom])]) ).

cnf(c_0_82,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_74]),c_0_68]) ).

cnf(c_0_83,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk2_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_74]),c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk3_0) != s(tyop_2Eextreal_2Eextreal,esk1_0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_45]),c_0_46])]) ).

cnf(c_0_85,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Eextreal_2Eextreal__max_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,plain,
    s(X1,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,X1),esk414_3(X1,X2,X3)),s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))) = s(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_82]),c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk3_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_68]) ).

cnf(c_0_89,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))),s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk2_0))),s(tyop_2Eextreal_2Eextreal,esk1_0)))
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_21]) ).

cnf(c_0_90,negated_conjecture,
    s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk3_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
    inference(spm,[status(thm)],[c_0_87,c_0_38]) ).

cnf(c_0_91,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk1_0),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_68]) ).

cnf(c_0_92,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | s(tyop_2Eextreal_2Eextreal,esk3_0) != s(tyop_2Eextreal_2Eextreal,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_88]),c_0_49])]),c_0_23]),c_0_68]) ).

cnf(c_0_93,negated_conjecture,
    s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_90]),c_0_49]),c_0_46])]),c_0_60]) ).

cnf(c_0_94,negated_conjecture,
    ( s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk3_0),s(tyop_2Eextreal_2Eextreal,esk1_0)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_91]),c_0_92]) ).

cnf(c_0_95,negated_conjecture,
    ( p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk1_0))))
    | ~ p(s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,X1),s(tyop_2Eextreal_2Eextreal,esk3_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_93]),c_0_46])]) ).

cnf(c_0_96,negated_conjecture,
    s(tyop_2Emin_2Ebool,c_2Eextreal_2Eextreal__le_2E2(s(tyop_2Eextreal_2Eextreal,esk2_0),s(tyop_2Eextreal_2Eextreal,esk1_0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_93]),c_0_46])]) ).

cnf(c_0_97,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_90]),c_0_96]),c_0_46])]),c_0_40]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : ITP021+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n018.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Fri May  3 12:27:03 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 7.53/7.70  Running first-order model finding
% 7.53/7.70  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.gi8OfHC2Va/E---3.1_1452.p
% 58.60/16.73  # Version: 3.1.0
% 58.60/16.73  # Preprocessing class: FMLLSMLLSSSNFFN.
% 58.60/16.73  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 58.60/16.73  # Starting new_bool_3 with 894s (3) cores
% 58.60/16.73  # Starting new_bool_1 with 894s (3) cores
% 58.60/16.73  # Starting sh5l with 298s (1) cores
% 58.60/16.73  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 298s (1) cores
% 58.60/16.73  # new_bool_3 with pid 1784 completed with status 0
% 58.60/16.73  # Result found by new_bool_3
% 58.60/16.73  # Preprocessing class: FMLLSMLLSSSNFFN.
% 58.60/16.73  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 58.60/16.73  # Starting new_bool_3 with 894s (3) cores
% 58.60/16.73  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 58.60/16.73  # Search class: FGHSM-SMLM33-DFFFFFNN
% 58.60/16.73  # Scheduled 6 strats onto 3 cores with 894 seconds (894 total)
% 58.60/16.73  # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 58.60/16.73  # Starting new_bool_3 with 90s (1) cores
% 58.60/16.73  # Starting SAT001_CA_MinMin_p005000_rr with 81s (1) cores
% 58.60/16.73  # SAT001_MinMin_p005000_rr with pid 1791 completed with status 0
% 58.60/16.73  # Result found by SAT001_MinMin_p005000_rr
% 58.60/16.73  # Preprocessing class: FMLLSMLLSSSNFFN.
% 58.60/16.73  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 58.60/16.73  # Starting new_bool_3 with 894s (3) cores
% 58.60/16.73  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 58.60/16.73  # Search class: FGHSM-SMLM33-DFFFFFNN
% 58.60/16.73  # Scheduled 6 strats onto 3 cores with 894 seconds (894 total)
% 58.60/16.73  # Starting SAT001_MinMin_p005000_rr with 483s (1) cores
% 58.60/16.73  # Preprocessing time       : 0.103 s
% 58.60/16.73  # Presaturation interreduction done
% 58.60/16.73  
% 58.60/16.73  # Proof found!
% 58.60/16.73  # SZS status Theorem
% 58.60/16.73  # SZS output start CNFRefutation
% See solution above
% 58.60/16.73  # Parsed axioms                        : 25709
% 58.60/16.73  # Removed by relevancy pruning/SinE    : 23764
% 58.60/16.73  # Initial clauses                      : 4298
% 58.60/16.73  # Removed in clause preprocessing      : 1062
% 58.60/16.73  # Initial clauses in saturation        : 3236
% 58.60/16.73  # Processed clauses                    : 14181
% 58.60/16.73  # ...of these trivial                  : 663
% 58.60/16.73  # ...subsumed                          : 10153
% 58.60/16.73  # ...remaining for further processing  : 3365
% 58.60/16.73  # Other redundant clauses eliminated   : 0
% 58.60/16.73  # Clauses deleted for lack of memory   : 0
% 58.60/16.73  # Backward-subsumed                    : 261
% 58.60/16.73  # Backward-rewritten                   : 164
% 58.60/16.73  # Generated clauses                    : 215510
% 58.60/16.73  # ...of the previous two non-redundant : 178240
% 58.60/16.73  # ...aggressively subsumed             : 0
% 58.60/16.73  # Contextual simplify-reflections      : 46
% 58.60/16.73  # Paramodulations                      : 215286
% 58.60/16.73  # Factorizations                       : 21
% 58.60/16.73  # NegExts                              : 0
% 58.60/16.73  # Equation resolutions                 : 196
% 58.60/16.73  # Disequality decompositions           : 0
% 58.60/16.73  # Total rewrite steps                  : 82247
% 58.60/16.73  # ...of those cached                   : 66027
% 58.60/16.73  # Propositional unsat checks           : 0
% 58.60/16.73  #    Propositional check models        : 0
% 58.60/16.73  #    Propositional check unsatisfiable : 0
% 58.60/16.73  #    Propositional clauses             : 0
% 58.60/16.73  #    Propositional clauses after purity: 0
% 58.60/16.73  #    Propositional unsat core size     : 0
% 58.60/16.73  #    Propositional preprocessing time  : 0.000
% 58.60/16.73  #    Propositional encoding time       : 0.000
% 58.60/16.73  #    Propositional solver time         : 0.000
% 58.60/16.73  #    Success case prop preproc time    : 0.000
% 58.60/16.73  #    Success case prop encoding time   : 0.000
% 58.60/16.73  #    Success case prop solver time     : 0.000
% 58.60/16.73  # Current number of processed clauses  : 1164
% 58.60/16.73  #    Positive orientable unit clauses  : 203
% 58.60/16.73  #    Positive unorientable unit clauses: 11
% 58.60/16.73  #    Negative unit clauses             : 64
% 58.60/16.73  #    Non-unit-clauses                  : 886
% 58.60/16.73  # Current number of unprocessed clauses: 168525
% 58.60/16.73  # ...number of literals in the above   : 524140
% 58.60/16.73  # Current number of archived formulas  : 0
% 58.60/16.73  # Current number of archived clauses   : 2201
% 58.60/16.73  # Clause-clause subsumption calls (NU) : 1871715
% 58.60/16.73  # Rec. Clause-clause subsumption calls : 232549
% 58.60/16.73  # Non-unit clause-clause subsumptions  : 4513
% 58.60/16.73  # Unit Clause-clause subsumption calls : 4158
% 58.60/16.73  # Rewrite failures with RHS unbound    : 20
% 58.60/16.73  # BW rewrite match attempts            : 7571
% 58.60/16.73  # BW rewrite match successes           : 248
% 58.60/16.73  # Condensation attempts                : 0
% 58.60/16.73  # Condensation successes               : 0
% 58.60/16.73  # Termbank termtop insertions          : 10965234
% 58.60/16.73  # Search garbage collected termcells   : 418983
% 58.60/16.73  
% 58.60/16.73  # -------------------------------------------------
% 58.60/16.73  # User time                : 6.076 s
% 58.60/16.73  # System time              : 0.230 s
% 58.60/16.73  # Total time               : 6.306 s
% 58.60/16.73  # Maximum resident set size: 75652 pages
% 58.60/16.73  
% 58.60/16.73  # -------------------------------------------------
% 58.60/16.73  # User time                : 19.730 s
% 58.60/16.73  # System time              : 0.476 s
% 58.60/16.73  # Total time               : 20.206 s
% 58.60/16.73  # Maximum resident set size: 63188 pages
% 58.60/16.73  % E---3.1 exiting
%------------------------------------------------------------------------------