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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP015_4 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SBcgkFn62x 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 Oct  2 04:38:23 PM UTC 2025

% Result   : Theorem 30.64s 4.94s
% Output   : Refutation 30.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  176 (   3   ~;   0   |;   0   &; 173   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    5 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(du_type,type,
    du: $tType ).

thf(d_type,type,
    d: $tType ).

thf(u_type,type,
    u: $tType ).

thf(mono_2Etyop_2Einteger_2Eint_type,type,
    mono_2Etyop_2Einteger_2Eint: $tType ).

thf(mono_2Etyop_2Enum_2Enum_type,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

thf(tyop_2Einteger_2Eint_type,type,
    tyop_2Einteger_2Eint: d ).

thf(tyop_2Emin_2Ebool_type,type,
    tyop_2Emin_2Ebool: d ).

thf(i_mono_2Etyop_2Enum_2Enum_type,type,
    i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).

thf(tyop_2Enum_2Enum_type,type,
    tyop_2Enum_2Enum: d ).

thf(s_type,type,
    s: d > u > du ).

thf(c_2Einteger__word_2Ei2w_2E1_type,type,
    c_2Einteger__word_2Ei2w_2E1: du > u ).

thf(tyop_2Efcp_2Ecart_type,type,
    tyop_2Efcp_2Ecart: d > d > d ).

thf(sk__2_type,type,
    sk__2: d ).

thf(c_2Einteger__word_2Ew2i_2E1_type,type,
    c_2Einteger__word_2Ew2i_2E1: du > u ).

thf(j_mono_2Etyop_2Einteger_2Eint_type,type,
    j_mono_2Etyop_2Einteger_2Eint: du > mono_2Etyop_2Einteger_2Eint ).

thf(c_2Ewords_2En2w_2E1_type,type,
    c_2Ewords_2En2w_2E1: du > u ).

thf(mono_2Ec_2Enum_2E0_2E0_type,type,
    mono_2Ec_2Enum_2E0_2E0: mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Einteger_2Eint__of__num_2E1_type,type,
    mono_2Ec_2Einteger_2Eint__of__num_2E1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint ).

thf(i_mono_2Etyop_2Einteger_2Eint_type,type,
    i_mono_2Etyop_2Einteger_2Eint: mono_2Etyop_2Einteger_2Eint > u ).

thf(thm_2Einteger__word_2Ei2w__0,conjecture,
    ! [A_27a: d] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: d] :
        ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) )
        = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Einteger__word_2Ei2w__0]) ).

thf(zip_derived_cl16,plain,
    ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__2 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) )
   != ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Einteger__word_2Eword__0__w2i,axiom,
    ! [A_27a: d] :
      ( ( j_mono_2Etyop_2Einteger_2Eint @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger__word_2Ew2i_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ) ) )
      = ( mono_2Ec_2Einteger_2Eint__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: d] :
      ( ( j_mono_2Etyop_2Einteger_2Eint @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger__word_2Ew2i_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ) ) )
      = ( mono_2Ec_2Einteger_2Eint__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger__word_2Eword__0__w2i]) ).

thf(ij_2Emono_2Etyop_2Einteger_2Eint,axiom,
    ! [V0_2E0: u] :
      ( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( j_mono_2Etyop_2Einteger_2Eint @ ( s @ tyop_2Einteger_2Eint @ V0_2E0 ) ) ) )
      = ( s @ tyop_2Einteger_2Eint @ V0_2E0 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: u] :
      ( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( j_mono_2Etyop_2Einteger_2Eint @ ( s @ tyop_2Einteger_2Eint @ X0 ) ) ) )
      = ( s @ tyop_2Einteger_2Eint @ X0 ) ),
    inference(cnf,[status(esa)],[ij_2Emono_2Etyop_2Einteger_2Eint]) ).

thf(zip_derived_cl37,plain,
    ! [X0: d] :
      ( ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) )
      = ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger__word_2Ew2i_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).

thf(thm_2Einteger__word_2Ei2w__w2i,axiom,
    ! [A_27a: d,V0w_2E0: u] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger__word_2Ew2i_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0w_2E0 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: d,X1: u] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger__word_2Ew2i_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X1 ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[thm_2Einteger__word_2Ei2w__w2i]) ).

thf(zip_derived_cl40,plain,
    ! [X0: d] :
      ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( i_mono_2Etyop_2Einteger_2Eint @ ( mono_2Ec_2Einteger_2Eint__of__num_2E1 @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) )
      = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl4]) ).

thf(zip_derived_cl42,plain,
    ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) )
   != ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sk__2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0_2E0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl40]) ).

thf(zip_derived_cl43,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ITP015_4 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SBcgkFn62x 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 : Wed Oct  1 15:34:40 EDT 2025
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.53/0.62  % Total configuration time : 435
% 0.53/0.62  % Estimated wc time : 1092
% 0.53/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 30.64/4.94  % Solved by fo/fo4.sh.
% 30.64/4.94  % done 15 iterations in 4.169s
% 30.64/4.94  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.64/4.94  % SZS output start Refutation
% See solution above
% 30.64/4.94  
% 30.64/4.94  
% 30.64/4.94  % Terminating...
% 31.60/5.06  % Runner terminated.
% 31.60/5.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------