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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO499^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YjnIkWR0rI true

% Computer : n022.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 05:07:44 PM UTC 2025

% Result   : Theorem 0.49s 0.68s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   49 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  195 (  47 equ;   0 cnn)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  189 (  43   ~;  52   |;   0   &;  94   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(f1_type,type,
    f1: $o > $i ).

thf(a_type,type,
    a: $o ).

thf(g2_type,type,
    g2: $o > $i ).

thf(c_type,type,
    c: $o ).

thf(g_type,type,
    g: $o > $i ).

thf(g1_type,type,
    g1: $o > $i ).

thf(f2_type,type,
    f2: $o > $i ).

thf(f_type,type,
    f: $o > $i ).

thf(b_type,type,
    b: $o ).

thf(con,conjecture,
    ( ( ( f @ a )
      = ( g @ b ) )
    | ( ( f @ b )
     != ( g @ a ) )
    | ( ( f1 @ a )
      = ( g1 @ c ) )
    | ( ( f1 @ c )
     != ( g1 @ a ) )
    | ( ( f2 @ b )
      = ( g2 @ c ) )
    | ( ( f2 @ c )
     != ( g2 @ b ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( f @ a )
        = ( g @ b ) )
      | ( ( f @ b )
       != ( g @ a ) )
      | ( ( f1 @ a )
        = ( g1 @ c ) )
      | ( ( f1 @ c )
       != ( g1 @ a ) )
      | ( ( f2 @ b )
        = ( g2 @ c ) )
      | ( ( f2 @ c )
       != ( g2 @ b ) ) ),
    inference('cnf.neg',[status(esa)],[con]) ).

thf(zip_derived_cl4,plain,
    ( ( f @ b )
    = ( g @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ( ~ a
    | ( ( f @ b )
      = ( g @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl0,plain,
    ( ( f2 @ c )
    = ( g2 @ b ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ~ b
    | ( ( f2 @ c )
      = ( g2 @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ( ( f1 @ c )
    = ( g1 @ a ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( a
    | ( ( f1 @ c )
      = ( g1 @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl3,plain,
    ( ( f1 @ a )
   != ( g1 @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ( c
    | ( ( f1 @ a )
     != ( g1 @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl31,plain,
    ( ( ( f1 @ a )
     != ( f1 @ c ) )
    | a
    | c ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl28]) ).

thf(zip_derived_cl33,plain,
    ( ( ( f1 @ $false )
     != ( f1 @ $false ) )
    | a
    | c ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl34,plain,
    ( c
    | a ),
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl1,plain,
    ( ( f2 @ b )
   != ( g2 @ c ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ( ~ c
    | ( ( f2 @ b )
     != ( g2 @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl49,plain,
    ( a
    | ( ( f2 @ b )
     != ( g2 @ $true ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl19]) ).

thf(zip_derived_cl62,plain,
    ( ( ( f2 @ b )
     != ( f2 @ c ) )
    | ~ b
    | a ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl49]) ).

thf(zip_derived_cl64,plain,
    ( ( ( f2 @ $true )
     != ( f2 @ c ) )
    | ~ b
    | a ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl62]) ).

thf(zip_derived_cl34_001,plain,
    ( c
    | a ),
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl76,plain,
    ( a
    | ~ b ),
    inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl34]) ).

thf(zip_derived_cl10,plain,
    ( a
    | ( ( f @ b )
      = ( g @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    ( ( f @ a )
   != ( g @ b ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ( b
    | ( ( f @ a )
     != ( g @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl41,plain,
    ( ( ( f @ a )
     != ( f @ b ) )
    | a
    | b ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl38]) ).

thf(zip_derived_cl43,plain,
    ( ( ( f @ $false )
     != ( f @ $false ) )
    | a
    | b ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl44,plain,
    ( b
    | a ),
    inference(simplify,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl77,plain,
    a,
    inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl44]) ).

thf(zip_derived_cl79,plain,
    ( ( f @ b )
    = ( g @ $true ) ),
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl77]) ).

thf(zip_derived_cl9,plain,
    ( ~ a
    | ( ( f1 @ c )
      = ( g1 @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( b
    | ( ( f2 @ c )
      = ( g2 @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl18,plain,
    ( c
    | ( ( f2 @ b )
     != ( g2 @ $false ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl21,plain,
    ( ( ( f2 @ b )
     != ( f2 @ c ) )
    | b
    | c ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl18]) ).

thf(zip_derived_cl23,plain,
    ( ( ( f2 @ $false )
     != ( f2 @ $false ) )
    | b
    | c ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl24,plain,
    ( c
    | b ),
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl29,plain,
    ( ~ c
    | ( ( f1 @ a )
     != ( g1 @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl55,plain,
    ( b
    | ( ( f1 @ a )
     != ( g1 @ $true ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl29]) ).

thf(zip_derived_cl68,plain,
    ( ( ( f1 @ a )
     != ( f1 @ c ) )
    | ~ a
    | b ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl55]) ).

thf(zip_derived_cl70,plain,
    ( ( ( f1 @ $true )
     != ( f1 @ c ) )
    | ~ a
    | b ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl77_002,plain,
    a,
    inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl44]) ).

thf(zip_derived_cl87,plain,
    ( ( ( f1 @ $true )
     != ( f1 @ c ) )
    | b ),
    inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl77]) ).

thf(zip_derived_cl24_003,plain,
    ( c
    | b ),
    inference(simplify,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl88,plain,
    b,
    inference(clc,[status(thm)],[zip_derived_cl87,zip_derived_cl24]) ).

thf(zip_derived_cl102,plain,
    ( ( f @ $true )
    = ( g @ $true ) ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl88]) ).

thf(zip_derived_cl39,plain,
    ( ~ b
    | ( ( f @ a )
     != ( g @ $true ) ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl77_004,plain,
    a,
    inference(clc,[status(thm)],[zip_derived_cl76,zip_derived_cl44]) ).

thf(zip_derived_cl83,plain,
    ( ~ b
    | ( ( f @ $true )
     != ( g @ $true ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl77]) ).

thf(zip_derived_cl88_005,plain,
    b,
    inference(clc,[status(thm)],[zip_derived_cl87,zip_derived_cl24]) ).

thf(zip_derived_cl92,plain,
    ( ( f @ $true )
   != ( g @ $true ) ),
    inference(demod,[status(thm)],[zip_derived_cl83,zip_derived_cl88]) ).

thf(zip_derived_cl103,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl102,zip_derived_cl92]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO499^1 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YjnIkWR0rI true
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 18:08:23 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in HO mode
% 0.49/0.58  % Total configuration time : 828
% 0.49/0.58  % Estimated wc time : 1656
% 0.49/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.49/0.64  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.49/0.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.49/0.68  % Solved by lams/40_c.s.sh.
% 0.49/0.68  % done 37 iterations in 0.019s
% 0.49/0.68  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.68  % SZS output start Refutation
% See solution above
% 0.49/0.68  
% 0.49/0.68  
% 0.49/0.68  % Terminating...
% 0.59/0.78  % Runner terminated.
% 0.59/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------