↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL384+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SqNUWkRgcA true

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:35:49 PM UTC 2026

% Result   : Theorem 258.94s 37.67s
% Output   : Refutation 258.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   89 (  32 unt;   0 typ;   0 def)
%            Number of atoms       :  167 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  998 (  79   ~;  76   |;   1   &; 841   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  231 (   0   ^; 231   !;   0   ?; 231   :)

% Comments : 
%------------------------------------------------------------------------------
thf(y_type,type,
    y: $i ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(not_type,type,
    not: $i > $i ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(x_type,type,
    x: $i ).

thf(z_type,type,
    z: $i ).

thf(cn_1,axiom,
    ! [X: $i,Y: $i,Z: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[cn_1]) ).

thf(condensed_detachment,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( is_a_theorem @ ( implies @ X @ Y ) )
        & ( is_a_theorem @ X ) )
     => ( is_a_theorem @ Y ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[cn_1]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(prove_cn_45,conjecture,
    is_a_theorem @ ( implies @ ( implies @ x @ ( implies @ y @ z ) ) @ ( implies @ ( implies @ ( not @ z ) @ y ) @ ( implies @ x @ z ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( is_a_theorem @ ( implies @ ( implies @ x @ ( implies @ y @ z ) ) @ ( implies @ ( implies @ ( not @ z ) @ y ) @ ( implies @ x @ z ) ) ) ),
    inference('cnf.neg',[status(esa)],[prove_cn_45]) ).

thf(zip_derived_cl4,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ x @ ( implies @ y @ z ) ) @ ( implies @ ( implies @ ( not @ z ) @ y ) @ ( implies @ x @ z ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl92,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ z ) @ y ) @ ( implies @ ( implies @ y @ z ) @ z ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl4]) ).

thf(cn_2,axiom,
    ! [X: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(cn_3,axiom,
    ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[cn_3]) ).

thf(zip_derived_cl11_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl11]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ X0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl2_005,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(zip_derived_cl6_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl11_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl11]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X2 ) @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).

thf(zip_derived_cl295,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( implies @ ( not @ X1 ) @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl51]) ).

thf(zip_derived_cl14_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).

thf(zip_derived_cl316,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ ( implies @ ( not @ ( implies @ X2 @ X0 ) ) @ ( implies @ X2 @ X0 ) ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl14]) ).

thf(zip_derived_cl21_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(zip_derived_cl3_010,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[cn_3]) ).

thf(zip_derived_cl21_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(zip_derived_cl12_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl11]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ ( implies @ X2 @ ( implies @ ( not @ X1 ) @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl12]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ ( implies @ ( not @ X2 ) @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl90]) ).

thf(zip_derived_cl11_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X2 @ ( implies @ ( not @ X1 ) @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl109,zip_derived_cl11]) ).

thf(zip_derived_cl1064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ ( implies @ ( not @ X4 ) @ X3 ) @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X4 @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl210]) ).

thf(zip_derived_cl1134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X3 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl1064]) ).

thf(zip_derived_cl295_014,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ ( implies @ ( implies @ ( not @ X1 ) @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl51]) ).

thf(zip_derived_cl2_015,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(zip_derived_cl11_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl11_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ X1 ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl11]) ).

thf(zip_derived_cl313,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( not @ X1 ) @ X1 ) @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( not @ ( implies @ X1 @ X0 ) ) @ ( implies @ X1 @ X0 ) ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl35]) ).

thf(zip_derived_cl2_018,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(zip_derived_cl2_019,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(zip_derived_cl3_020,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[cn_3]) ).

thf(zip_derived_cl0_021,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl6_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl12_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl11]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( not @ X2 ) ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl12]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X1 ) @ X2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl26]) ).

thf(zip_derived_cl11_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ X0 ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ X2 @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl11]) ).

thf(zip_derived_cl181,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl43]) ).

thf(zip_derived_cl3_025,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[cn_3]) ).

thf(zip_derived_cl21_026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl14]) ).

thf(zip_derived_cl0_027,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) )
      | ~ ( is_a_theorem @ ( implies @ X1 @ X3 ) )
      | ( is_a_theorem @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl0]) ).

thf(zip_derived_cl1147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X3 @ ( implies @ ( implies @ ( not @ X1 ) @ X0 ) @ X2 ) ) )
      | ( is_a_theorem @ ( implies @ X3 @ ( implies @ X1 @ X2 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl86]) ).

thf(zip_derived_cl3690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ X2 ) @ X1 ) @ X0 ) )
      | ( is_a_theorem @ ( implies @ X3 @ ( implies @ X2 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl1147]) ).

thf(zip_derived_cl28071,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X1 @ ( implies @ X0 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl3690]) ).

thf(zip_derived_cl2_028,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(zip_derived_cl181_029,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl43]) ).

thf(zip_derived_cl15_030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl11]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X0 @ X3 ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl15]) ).

thf(zip_derived_cl3533,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl191]) ).

thf(zip_derived_cl51_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X2 ) @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X0 @ X2 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).

thf(zip_derived_cl3620,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3533,zip_derived_cl51]) ).

thf(zip_derived_cl28313,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X0 @ X0 ) @ X1 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28071,zip_derived_cl3620]) ).

thf(zip_derived_cl3_032,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[cn_3]) ).

thf(zip_derived_cl15_033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl11]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( not @ X1 ) @ X0 ) @ X3 ) @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl15]) ).

thf(zip_derived_cl0_034,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ X3 @ X1 ) @ X0 ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ X3 ) @ X2 ) @ X1 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl0]) ).

thf(zip_derived_cl34767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ ( implies @ X1 @ X1 ) ) @ X2 ) @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl28313,zip_derived_cl217]) ).

thf(zip_derived_cl36567,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( not @ X1 ) @ X1 ) @ X1 ) @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl34767]) ).

thf(zip_derived_cl38203,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ ( not @ X0 ) @ X0 ) ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1134,zip_derived_cl36567]) ).

thf(zip_derived_cl6_035,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl36567_036,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ ( not @ X1 ) @ X1 ) @ X1 ) @ X0 ) )
      | ( is_a_theorem @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl34767]) ).

thf(zip_derived_cl38123,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ ( implies @ ( not @ X0 ) @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl36567]) ).

thf(zip_derived_cl65873,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ X1 @ ( implies @ ( not @ X0 ) @ X0 ) ) @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38203,zip_derived_cl38123]) ).

thf(zip_derived_cl14_037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl11]) ).

thf(zip_derived_cl90044,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X1 ) @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl65873,zip_derived_cl14]) ).

thf(zip_derived_cl94871,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl92,zip_derived_cl90044]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL384+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SqNUWkRgcA true
% 0.09/0.35  % Computer : n027.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep  5 00:09:27 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  % Running portfolio for 300 s
% 0.09/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.12.3
% 0.13/0.37  % Running in FO mode
% 0.44/0.65  % Total configuration time : 435
% 0.44/0.65  % Estimated wc time : 1092
% 0.44/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 258.94/37.67  % Solved by fo/fo6_bce.sh.
% 258.94/37.67  % BCE start: 5
% 258.94/37.67  % BCE eliminated: 0
% 258.94/37.67  % PE start: 5
% 258.94/37.67  logic: neq
% 258.94/37.67  % PE eliminated: 0
% 258.94/37.67  % done 3547 iterations in 36.906s
% 258.94/37.67  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 258.94/37.67  % SZS output start Refutation
% See solution above
% 258.94/37.68  
% 258.94/37.68  
% 258.94/37.68  % Terminating...
% 38.36/37.71  % Runner terminated.
% 38.36/37.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------