TSTP Solution File: ITP122^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP122^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5Zhx1aVknn true

% 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 : Thu Aug 31 05:22:19 EDT 2023

% Result   : Theorem 60.47s 8.43s
% Output   : Refutation 60.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   70 (  35 unt;  12 typ;   0 def)
%            Number of atoms       :  100 (  55 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  829 (  10   ~;   3   |;   0   &; 777   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   51 (  51   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   5 con; 0-5 aty)
%                                         (  33  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  135 (  33   ^; 102   !;   0   ?; 135   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(modula17988509_aux_a_type,type,
    modula17988509_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(a2_type,type,
    a2: a ).

thf(modula1936294176_aux_a_type,type,
    modula1936294176_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(modula581031071_aux_a_type,type,
    modula581031071_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(b_type,type,
    b: a ).

thf(less_eq_type,type,
    less_eq: a > a > $o ).

thf(sup_type,type,
    sup: a > a > a ).

thf(c_type,type,
    c: a ).

thf(modula1144073633_aux_a_type,type,
    modula1144073633_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(inf_type,type,
    inf: a > a > a ).

thf(modula1373251614_aux_a_type,type,
    modula1373251614_aux_a: ( a > a > a ) > ( a > a > a ) > a > a > a > a ).

thf(fact_135_a__join__b__eq__e,axiom,
    ! [A: a,B: a,C: a] :
      ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) @ ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) )
     => ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ A @ B @ C ) @ ( modula1373251614_aux_a @ inf @ sup @ A @ B @ C ) )
        = ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) ) ) ).

thf(zip_derived_cl123,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) @ ( modula1144073633_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) )
               => ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) @ ( modula1373251614_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) )
                  = ( modula1144073633_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_135_a__join__b__eq__e]) ).

thf(zip_derived_cl627,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 ) @ ( modula1144073633_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 ) )
             => ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 ) @ ( modula1373251614_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 ) )
                = ( modula1144073633_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl628,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ Y0 ) @ ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ Y0 ) )
         => ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ X2 @ X4 @ Y0 ) @ ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ Y0 ) )
            = ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl627]) ).

thf(zip_derived_cl629,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) @ ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
     => ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) @ ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
        = ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl628]) ).

thf(fact_132_local_Ob__a,axiom,
    ! [A: a,B: a,C: a] :
      ( ( modula1373251614_aux_a @ inf @ sup @ A @ B @ C )
      = ( modula17988509_aux_a @ inf @ sup @ B @ C @ A ) ) ).

thf(zip_derived_cl120,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula1373251614_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula17988509_aux_a @ inf @ sup @ Y1 @ Y2 @ Y0 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_132_local_Ob__a]) ).

thf(zip_derived_cl427,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( modula1373251614_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 )
              = ( modula17988509_aux_a @ inf @ sup @ Y0 @ Y1 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl428,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ Y0 )
          = ( modula17988509_aux_a @ inf @ sup @ X4 @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl427]) ).

thf(zip_derived_cl429,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula17988509_aux_a @ inf @ sup @ X4 @ X6 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl428]) ).

thf(zip_derived_cl430,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula17988509_aux_a @ inf @ sup @ X4 @ X6 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl429]) ).

thf(zip_derived_cl630,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) @ ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
     => ( ( sup @ ( modula1373251614_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) @ ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
        = ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl629,zip_derived_cl430]) ).

thf(zip_derived_cl631,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) @ ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
      | ( ( sup @ ( modula1373251614_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) @ ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
        = ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl630]) ).

thf(zip_derived_cl632,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) @ ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
      | ( ( sup @ ( modula1373251614_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) @ ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) )
        = ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl631]) ).

thf(conj_1,conjecture,
    ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ c @ a2 @ b ) @ ( modula17988509_aux_a @ inf @ sup @ a2 @ b @ c ) )
    = ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ c @ a2 @ b ) @ ( modula17988509_aux_a @ inf @ sup @ a2 @ b @ c ) )
   != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl133,plain,
    ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ c @ a2 @ b ) @ ( modula17988509_aux_a @ inf @ sup @ a2 @ b @ c ) )
   != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_20_local_Osup_Ocommute,axiom,
    ! [A: a,B: a] :
      ( ( sup @ A @ B )
      = ( sup @ B @ A ) ) ).

thf(zip_derived_cl20,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( sup @ Y0 @ Y1 )
            = ( sup @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_20_local_Osup_Ocommute]) ).

thf(zip_derived_cl182,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( sup @ X2 @ Y0 )
          = ( sup @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl183,plain,
    ! [X2: a,X4: a] :
      ( ( sup @ X2 @ X4 )
      = ( sup @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl182]) ).

thf(zip_derived_cl184,plain,
    ! [X2: a,X4: a] :
      ( ( sup @ X2 @ X4 )
      = ( sup @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl183]) ).

thf(zip_derived_cl185,plain,
    ( ( sup @ ( modula17988509_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula17988509_aux_a @ inf @ sup @ c @ a2 @ b ) )
   != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl184]) ).

thf(fact_128_local_Oc__a,axiom,
    ! [A: a,B: a,C: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ A @ B @ C )
      = ( modula17988509_aux_a @ inf @ sup @ C @ A @ B ) ) ).

thf(zip_derived_cl116,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula581031071_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula17988509_aux_a @ inf @ sup @ Y2 @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_128_local_Oc__a]) ).

thf(zip_derived_cl422,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( modula581031071_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 )
              = ( modula17988509_aux_a @ inf @ sup @ Y1 @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl116]) ).

thf(zip_derived_cl423,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ Y0 )
          = ( modula17988509_aux_a @ inf @ sup @ Y0 @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl422]) ).

thf(zip_derived_cl424,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula17988509_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl423]) ).

thf(zip_derived_cl425,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula17988509_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl424]) ).

thf(zip_derived_cl425_001,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula17988509_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl424]) ).

thf(zip_derived_cl184_002,plain,
    ! [X2: a,X4: a] :
      ( ( sup @ X2 @ X4 )
      = ( sup @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl183]) ).

thf(zip_derived_cl426,plain,
    ( ( sup @ ( modula581031071_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula581031071_aux_a @ inf @ sup @ b @ c @ a2 ) )
   != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference(demod,[status(thm)],[zip_derived_cl185,zip_derived_cl425,zip_derived_cl425,zip_derived_cl184]) ).

thf(zip_derived_cl425_003,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula17988509_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl424]) ).

thf(zip_derived_cl430_004,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1373251614_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula17988509_aux_a @ inf @ sup @ X4 @ X6 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl429]) ).

thf(zip_derived_cl431,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1373251614_aux_a @ inf @ sup @ X4 @ X6 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl430]) ).

thf(zip_derived_cl431_005,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula581031071_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1373251614_aux_a @ inf @ sup @ X4 @ X6 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl425,zip_derived_cl430]) ).

thf(zip_derived_cl432,plain,
    ( ( sup @ ( modula1373251614_aux_a @ inf @ sup @ b @ c @ a2 ) @ ( modula1373251614_aux_a @ inf @ sup @ c @ a2 @ b ) )
   != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl431,zip_derived_cl431]) ).

thf(zip_derived_cl8772,plain,
    ( ( ( modula1144073633_aux_a @ inf @ sup @ c @ a2 @ b )
     != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) )
    | ~ ( less_eq @ ( modula1936294176_aux_a @ inf @ sup @ c @ a2 @ b ) @ ( modula1144073633_aux_a @ inf @ sup @ c @ a2 @ b ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl632,zip_derived_cl432]) ).

thf(fact_93_local_Oe__b__c__a,axiom,
    ! [B: a,C: a,A: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ B @ C @ A )
      = ( modula1144073633_aux_a @ inf @ sup @ A @ B @ C ) ) ).

thf(zip_derived_cl90,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula1144073633_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula1144073633_aux_a @ inf @ sup @ Y2 @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_93_local_Oe__b__c__a]) ).

thf(zip_derived_cl392,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 )
              = ( modula1144073633_aux_a @ inf @ sup @ Y1 @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl393,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ Y0 )
          = ( modula1144073633_aux_a @ inf @ sup @ Y0 @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl392]) ).

thf(zip_derived_cl394,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1144073633_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl393]) ).

thf(zip_derived_cl395,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1144073633_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl394]) ).

thf(zip_derived_cl395_006,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1144073633_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl394]) ).

thf(fact_87_local_Od__b__c__a,axiom,
    ! [B: a,C: a,A: a] :
      ( ( modula1936294176_aux_a @ inf @ sup @ B @ C @ A )
      = ( modula1936294176_aux_a @ inf @ sup @ A @ B @ C ) ) ).

thf(zip_derived_cl84,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( modula1936294176_aux_a @ inf @ sup @ Y0 @ Y1 @ Y2 )
                = ( modula1936294176_aux_a @ inf @ sup @ Y2 @ Y0 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_87_local_Od__b__c__a]) ).

thf(zip_derived_cl433,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( modula1936294176_aux_a @ inf @ sup @ X2 @ Y0 @ Y1 )
              = ( modula1936294176_aux_a @ inf @ sup @ Y1 @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl84]) ).

thf(zip_derived_cl434,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ Y0 )
          = ( modula1936294176_aux_a @ inf @ sup @ Y0 @ X2 @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl433]) ).

thf(zip_derived_cl435,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1936294176_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl434]) ).

thf(zip_derived_cl436,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1936294176_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl435]) ).

thf(zip_derived_cl436_007,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1936294176_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1936294176_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl435]) ).

thf(zip_derived_cl395_008,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1144073633_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl394]) ).

thf(zip_derived_cl395_009,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( modula1144073633_aux_a @ inf @ sup @ X2 @ X4 @ X6 )
      = ( modula1144073633_aux_a @ inf @ sup @ X6 @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl394]) ).

thf(conj_0,axiom,
    less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ).

thf(zip_derived_cl132,plain,
    less_eq @ ( modula1936294176_aux_a @ inf @ sup @ a2 @ b @ c ) @ ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl8832,plain,
    ( ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c )
   != ( modula1144073633_aux_a @ inf @ sup @ a2 @ b @ c ) ),
    inference(demod,[status(thm)],[zip_derived_cl8772,zip_derived_cl395,zip_derived_cl395,zip_derived_cl436,zip_derived_cl436,zip_derived_cl395,zip_derived_cl395,zip_derived_cl132]) ).

thf(zip_derived_cl8833,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl8832]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ITP122^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5Zhx1aVknn true
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 13:14:09 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.19/0.65  % Total configuration time : 828
% 0.19/0.65  % Estimated wc time : 1656
% 0.19/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.05/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.80  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 60.47/8.43  % Solved by lams/30_sp5.sh.
% 60.47/8.43  % done 489 iterations in 7.602s
% 60.47/8.43  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 60.47/8.43  % SZS output start Refutation
% See solution above
% 60.47/8.43  
% 60.47/8.43  
% 60.47/8.43  % Terminating...
% 60.47/8.55  % Runner terminated.
% 60.53/8.57  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------