%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP015^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CIDNIr8umz true

% Computer : n013.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 05:21:16 EDT 2023

% Result   : Theorem 211.48s 27.83s
% Output   : Refutation 211.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   52 (  19 unt;  22 typ;   0 def)
%            Number of atoms       :   50 (  27 equ;   0 cnn)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  296 (  10   ~;   6   |;   4   &; 266   @)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    5 (   3 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;  10 con; 0-2 aty)
%            Number of variables   :   41 (   0   ^;  41   !;   0   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(tp__ty_2Enum_2Enum_type,type,
    tp__ty_2Enum_2Enum: $tType ).

thf(tp__ty_2Einteger_2Eint_type,type,
    tp__ty_2Einteger_2Eint: $tType ).

thf(inj__ty_2Enum_2Enum_type,type,
    inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(c_2Earithmetic_2EMOD_type,type,
    c_2Earithmetic_2EMOD: $i ).

thf(c_2Einteger__word_2Ei2w_type,type,
    c_2Einteger__word_2Ei2w: del > $i ).

thf(surj__ty_2Einteger_2Eint_type,type,
    surj__ty_2Einteger_2Eint: $i > tp__ty_2Einteger_2Eint ).

thf(c_2Ewords_2En2w_type,type,
    c_2Ewords_2En2w: del > $i ).

thf(fo__c_2Enum_2E0_type,type,
    fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).

thf(c_2Einteger_2Eint__mod_type,type,
    c_2Einteger_2Eint__mod: $i ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(arr_type,type,
    arr: del > del > del ).

thf(bool_type,type,
    bool: del ).

thf(inj__ty_2Einteger_2Eint_type,type,
    inj__ty_2Einteger_2Eint: tp__ty_2Einteger_2Eint > $i ).

thf(c_2Einteger__word_2Ew2i_type,type,
    c_2Einteger__word_2Ew2i: del > $i ).

thf(c_2Einteger_2Eint__of__num_type,type,
    c_2Einteger_2Eint__of__num: $i ).

thf(ty_2Enum_2Enum_type,type,
    ty_2Enum_2Enum: del ).

thf(sk__866_type,type,
    sk__866: del ).

thf(ty_2Einteger_2Eint_type,type,
    ty_2Einteger_2Eint: del ).

thf(c_2Einteger_2Eint__neg_type,type,
    c_2Einteger_2Eint__neg: $i ).

thf(ty_2Efcp_2Ecart_type,type,
    ty_2Efcp_2Ecart: del > del > del ).

thf(conj_thm_2Einteger__word_2Ei2w__0,conjecture,
    ! [A_27a: del] :
      ( ( ap @ ( c_2Einteger__word_2Ei2w @ A_27a ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
      = ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: del] :
        ( ( ap @ ( c_2Einteger__word_2Ei2w @ A_27a ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
        = ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Einteger__word_2Ei2w__0]) ).

thf(zip_derived_cl5723,plain,
    ( ( ap @ ( c_2Einteger__word_2Ei2w @ sk__866 ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) )
   != ( ap @ ( c_2Ewords_2En2w @ sk__866 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_thm_2Einteger__word_2Ei2w__w2i,axiom,
    ! [A_27a: del,V0w: $i] :
      ( ( mem @ V0w @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) )
     => ( ( ap @ ( c_2Einteger__word_2Ei2w @ A_27a ) @ ( ap @ ( c_2Einteger__word_2Ew2i @ A_27a ) @ V0w ) )
        = V0w ) ) ).

thf(zip_derived_cl5668,plain,
    ! [X0: $i,X1: del] :
      ( ( ( ap @ ( c_2Einteger__word_2Ei2w @ X1 ) @ ( ap @ ( c_2Einteger__word_2Ew2i @ X1 ) @ X0 ) )
        = X0 )
      | ~ ( mem @ X0 @ ( ty_2Efcp_2Ecart @ bool @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Einteger__word_2Ei2w__w2i]) ).

thf(mem_c_2Ewords_2En2w,axiom,
    ! [A_27a: del] : ( mem @ ( c_2Ewords_2En2w @ A_27a ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) ) ) ).

thf(zip_derived_cl4368,plain,
    ! [X0: del] : ( mem @ ( c_2Ewords_2En2w @ X0 ) @ ( arr @ ty_2Enum_2Enum @ ( ty_2Efcp_2Ecart @ bool @ X0 ) ) ),
    inference(cnf,[status(esa)],[mem_c_2Ewords_2En2w]) ).

thf(conj_thm_2Einteger__word_2Eword__0__w2i,axiom,
    ! [A_27a: del] :
      ( ( surj__ty_2Einteger_2Eint @ ( ap @ ( c_2Einteger__word_2Ew2i @ A_27a ) @ ( ap @ ( c_2Ewords_2En2w @ A_27a ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
      = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ).

thf(zip_derived_cl5695,plain,
    ! [X0: del] :
      ( ( surj__ty_2Einteger_2Eint @ ( ap @ ( c_2Einteger__word_2Ew2i @ X0 ) @ ( ap @ ( c_2Ewords_2En2w @ X0 ) @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
      = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Einteger__word_2Eword__0__w2i]) ).

thf(mem_c_2Einteger__word_2Ew2i,axiom,
    ! [A_27a: del] : ( mem @ ( c_2Einteger__word_2Ew2i @ A_27a ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ A_27a ) @ ty_2Einteger_2Eint ) ) ).

thf(zip_derived_cl5658,plain,
    ! [X0: del] : ( mem @ ( c_2Einteger__word_2Ew2i @ X0 ) @ ( arr @ ( ty_2Efcp_2Ecart @ bool @ X0 ) @ ty_2Einteger_2Eint ) ),
    inference(cnf,[status(esa)],[mem_c_2Einteger__word_2Ew2i]) ).

thf(stp_inj_mem_ty_2Enum_2Enum,axiom,
    ! [X: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X ) @ ty_2Enum_2Enum ) ).

thf(zip_derived_cl985,plain,
    ! [X0: tp__ty_2Enum_2Enum] : ( mem @ ( inj__ty_2Enum_2Enum @ X0 ) @ ty_2Enum_2Enum ),
    inference(cnf,[status(esa)],[stp_inj_mem_ty_2Enum_2Enum]) ).

thf(mem_c_2Einteger_2Eint__of__num,axiom,
    mem @ c_2Einteger_2Eint__of__num @ ( arr @ ty_2Enum_2Enum @ ty_2Einteger_2Eint ) ).

thf(zip_derived_cl3733,plain,
    mem @ c_2Einteger_2Eint__of__num @ ( arr @ ty_2Enum_2Enum @ ty_2Einteger_2Eint ),
    inference(cnf,[status(esa)],[mem_c_2Einteger_2Eint__of__num]) ).

thf(conj_thm_2Einteger_2EINT__NEG__SAME__EQ,axiom,
    ! [V0p: tp__ty_2Einteger_2Eint] :
      ( ( V0p
        = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V0p ) ) ) )
    <=> ( V0p
        = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ) ).

thf(zip_derived_cl4069,plain,
    ! [X0: tp__ty_2Einteger_2Eint] :
      ( ( X0
        = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) )
      | ( X0
       != ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Einteger_2EINT__NEG__SAME__EQ]) ).

thf(conj_thm_2Einteger_2EINT__MOD__CALCULATE,axiom,
    ( ! [V7x: tp__ty_2Einteger_2Eint] :
        ( ( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V7x ) ) )
          = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
      <=> ( V7x
          = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) ) )
    & ! [V5m: tp__ty_2Enum_2Enum,V6n: tp__ty_2Enum_2Enum] :
        ( ( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V5m ) ) )
          = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V6n ) ) ) )
      <=> ( V5m = V6n ) )
    & ! [V4x: tp__ty_2Einteger_2Eint] :
        ( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V4x ) ) ) )
        = V4x )
    & ! [V2p: tp__ty_2Einteger_2Eint,V3q: tp__ty_2Einteger_2Eint] :
        ( ( V3q
         != ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ fo__c_2Enum_2E0 ) ) ) )
       => ( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__mod @ ( inj__ty_2Einteger_2Eint @ V2p ) ) @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V3q ) ) ) )
          = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ ( ap @ c_2Einteger_2Eint__mod @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V2p ) ) ) @ ( inj__ty_2Einteger_2Eint @ V3q ) ) ) ) ) )
    & ! [V0n: tp__ty_2Enum_2Enum,V1m: tp__ty_2Enum_2Enum] :
        ( ( V1m != fo__c_2Enum_2E0 )
       => ( ( surj__ty_2Einteger_2Eint @ ( ap @ ( ap @ c_2Einteger_2Eint__mod @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V0n ) ) ) @ ( ap @ c_2Einteger_2Eint__of__num @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) )
          = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__of__num @ ( ap @ ( ap @ c_2Earithmetic_2EMOD @ ( inj__ty_2Enum_2Enum @ V0n ) ) @ ( inj__ty_2Enum_2Enum @ V1m ) ) ) ) ) ) ) ).

thf(zip_derived_cl4260,plain,
    ! [X0: tp__ty_2Einteger_2Eint] :
      ( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) )
      = X0 ),
    inference(cnf,[status(esa)],[conj_thm_2Einteger_2EINT__MOD__CALCULATE]) ).

thf(stp_inj_mem_ty_2Einteger_2Eint,axiom,
    ! [X: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X ) @ ty_2Einteger_2Eint ) ).

thf(zip_derived_cl3720,plain,
    ! [X0: tp__ty_2Einteger_2Eint] : ( mem @ ( inj__ty_2Einteger_2Eint @ X0 ) @ ty_2Einteger_2Eint ),
    inference(cnf,[status(esa)],[stp_inj_mem_ty_2Einteger_2Eint]) ).

thf(conj_thm_2Einteger_2EINT__NEG__EQ,axiom,
    ! [V0x: tp__ty_2Einteger_2Eint,V1y: tp__ty_2Einteger_2Eint] :
      ( ( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V0x ) ) )
        = V1y )
    <=> ( V0x
        = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ V1y ) ) ) ) ) ).

thf(zip_derived_cl3864,plain,
    ! [X0: tp__ty_2Einteger_2Eint,X1: tp__ty_2Einteger_2Eint] :
      ( ( X1
        = ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X0 ) ) ) )
      | ( ( surj__ty_2Einteger_2Eint @ ( ap @ c_2Einteger_2Eint__neg @ ( inj__ty_2Einteger_2Eint @ X1 ) ) )
       != X0 ) ),
    inference(cnf,[status(esa)],[conj_thm_2Einteger_2EINT__NEG__EQ]) ).

thf(mem_c_2Einteger_2Eint__neg,axiom,
    mem @ c_2Einteger_2Eint__neg @ ( arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint ) ).

thf(zip_derived_cl3732,plain,
    mem @ c_2Einteger_2Eint__neg @ ( arr @ ty_2Einteger_2Eint @ ty_2Einteger_2Eint ),
    inference(cnf,[status(esa)],[mem_c_2Einteger_2Eint__neg]) ).

thf(stp_iso_mem_ty_2Einteger_2Eint,axiom,
    ! [X: $i] :
      ( ( mem @ X @ ty_2Einteger_2Eint )
     => ( X
        = ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ X ) ) ) ) ).

thf(zip_derived_cl3721,plain,
    ! [X0: $i] :
      ( ( X0
        = ( inj__ty_2Einteger_2Eint @ ( surj__ty_2Einteger_2Eint @ X0 ) ) )
      | ~ ( mem @ X0 @ ty_2Einteger_2Eint ) ),
    inference(cnf,[status(esa)],[stp_iso_mem_ty_2Einteger_2Eint]) ).

thf(ap_tp,axiom,
    ! [A: del,B: del,F: $i] :
      ( ( mem @ F @ ( arr @ A @ B ) )
     => ! [X: $i] :
          ( ( mem @ X @ A )
         => ( mem @ ( ap @ F @ X ) @ B ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl20033,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl5723,zip_derived_cl5668,zip_derived_cl4368,zip_derived_cl5695,zip_derived_cl5658,zip_derived_cl985,zip_derived_cl3733,zip_derived_cl4069,zip_derived_cl4260,zip_derived_cl3720,zip_derived_cl3864,zip_derived_cl3732,zip_derived_cl3721,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP015^5 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CIDNIr8umz true
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Sun Aug 27 11:26:49 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.22/0.37  % Python version: Python 3.6.8
% 0.22/0.37  % Running in HO mode
% 0.22/0.72  % Total configuration time : 828
% 0.22/0.72  % Estimated wc time : 1656
% 0.22/0.72  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.44/0.86  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.62/0.89  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 22.67/3.67  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 211.48/27.83  % Solved by lams/40_c.s.sh.
% 211.48/27.83  % done 2060 iterations in 26.961s
% 211.48/27.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 211.48/27.83  % SZS output start Refutation
% See solution above
% 211.48/27.83  
% 211.48/27.83  
% 211.48/27.83  % Terminating...
% 211.48/27.90  % Runner terminated.
% 211.48/27.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------