TSTP Solution File: SCT105+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SCT105+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cI8uUH7Uu7 true

% Computer : n031.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 14:27:13 EDT 2023

% Result   : Theorem 1.82s 0.83s
% Output   : Refutation 1.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   83 (  11 unt;  22 typ;   0 def)
%            Number of atoms       :  154 (  22 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  522 (  62   ~;  73   |;   8   &; 367   @)
%                                         (   8 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  11 con; 0-4 aty)
%            Number of variables   :   50 (   0   ^;  50   !;   0   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tc_Arrow__Order__Mirabelle_Oalt_type,type,
    tc_Arrow__Order__Mirabelle_Oalt: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $o ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(c_Product__Type_OPair_type,type,
    c_Product__Type_OPair: $i > $i > $i > $i > $i ).

thf(v_L_type,type,
    v_L: $i ).

thf(tc_prod_type,type,
    tc_prod: $i > $i > $i ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(c_member_type,type,
    c_member: $i > $i > $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $o ).

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $i > $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(c_Relation_Otrans_type,type,
    c_Relation_Otrans: $i > $i > $o ).

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: $o ).

thf(conj_0,conjecture,
    ( ( ! [B_x: $i,B_y: $i] :
          ( ( B_x != B_y )
         => ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_y ) @ v_L )
            | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_y @ B_x ) @ v_L ) ) )
      & ! [B_x: $i] :
          ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @ v_L )
      & ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) )
  <=> ( ! [B_x: $i,B_y: $i] :
          ( ( B_x != B_y )
         => ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_y @ B_x ) @ v_L )
            | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_y ) @ v_L ) ) )
      & ! [B_x: $i] :
          ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @ v_L )
      & ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [B_y: $i,B_x: $i] :
      ( ( zip_tseitin_5 @ B_y @ B_x )
    <=> ( ( B_x != B_y )
       => ( zip_tseitin_2 @ B_x @ B_y ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ( X1 != X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,axiom,
    ( zip_tseitin_6
  <=> ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
      & ! [B_x: $i] :
          ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @ v_L )
      & ! [B_x: $i,B_y: $i] : ( zip_tseitin_5 @ B_y @ B_x ) ) ) ).

thf(zip_derived_cl52,plain,
    ( zip_tseitin_6
    | ~ ( zip_tseitin_5 @ sk__10 @ sk__9 )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11 ) @ v_L )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl62,plain,
    ( ( sk__9 != sk__10 )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11 ) @ v_L )
    | zip_tseitin_6 ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl52]) ).

thf(zf_stmt_2,type,
    zip_tseitin_6: $o ).

thf(zf_stmt_3,type,
    zip_tseitin_5: $i > $i > $o ).

thf(zf_stmt_4,type,
    zip_tseitin_4: $o ).

thf(zf_stmt_5,axiom,
    ( zip_tseitin_4
  <=> ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
      & ! [B_x: $i] :
          ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_x ) @ v_L )
      & ! [B_x: $i,B_y: $i] : ( zip_tseitin_3 @ B_y @ B_x ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [B_y: $i,B_x: $i] :
      ( ( zip_tseitin_3 @ B_y @ B_x )
    <=> ( ( B_x != B_y )
       => ( zip_tseitin_2 @ B_y @ B_x ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_2: $i > $i > $o ).

thf(zf_stmt_9,axiom,
    ! [B_y: $i,B_x: $i] :
      ( ( zip_tseitin_2 @ B_y @ B_x )
    <=> ( ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_y @ B_x ) @ v_L )
        | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ B_x @ B_y ) @ v_L ) ) ) ).

thf(zf_stmt_10,conjecture,
    ( zip_tseitin_4
  <=> zip_tseitin_6 ) ).

thf(zf_stmt_11,negated_conjecture,
    ~ ( zip_tseitin_4
    <=> zip_tseitin_6 ),
    inference('cnf.neg',[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl53,plain,
    ( zip_tseitin_6
    | zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( zip_tseitin_2 @ X0 @ X1 )
      | ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ~ zip_tseitin_4
      | ( zip_tseitin_2 @ X1 @ X0 )
      | ( X0 = X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl39]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i] :
      ( zip_tseitin_6
      | ( X0 = X1 )
      | ( zip_tseitin_2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl69]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ~ zip_tseitin_6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( zip_tseitin_2 @ X1 @ X0 )
      | ~ ( zip_tseitin_5 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ~ zip_tseitin_6
      | ( zip_tseitin_2 @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl46]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_2 @ X1 @ X0 )
      | ( X0 = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl72]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl45,plain,
    ( zip_tseitin_4
    | ~ ( zip_tseitin_3 @ sk__7 @ sk__6 )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8 ) @ v_L )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl63,plain,
    ( ~ ( zip_tseitin_2 @ sk__7 @ sk__6 )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8 ) @ v_L )
    | zip_tseitin_4 ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl45]) ).

thf(zip_derived_cl81,plain,
    ( ( sk__6 = sk__7 )
    | zip_tseitin_4
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8 ) @ v_L )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ),
    inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl63]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ( X1 != X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl45_001,plain,
    ( zip_tseitin_4
    | ~ ( zip_tseitin_3 @ sk__7 @ sk__6 )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8 ) @ v_L )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl59,plain,
    ( ( sk__6 != sk__7 )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8 ) @ v_L )
    | zip_tseitin_4 ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl45]) ).

thf(zip_derived_cl96,plain,
    ( ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__8 @ sk__8 ) @ v_L )
    | zip_tseitin_4 ),
    inference(clc,[status(thm)],[zip_derived_cl81,zip_derived_cl59]) ).

thf(zip_derived_cl53_002,plain,
    ( zip_tseitin_6
    | zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0 ) @ v_L )
      | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( zip_tseitin_6
      | ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0 ) @ v_L ) ),
    inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl43]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0 ) @ v_L )
      | ~ zip_tseitin_6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0 ) @ v_L ),
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl50]) ).

thf(zip_derived_cl97,plain,
    ( zip_tseitin_4
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ),
    inference(clc,[status(thm)],[zip_derived_cl96,zip_derived_cl64]) ).

thf(zip_derived_cl49,plain,
    ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ~ zip_tseitin_6 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl99,plain,
    ( zip_tseitin_4
    | ~ zip_tseitin_6 ),
    inference('sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl49]) ).

thf(zip_derived_cl54,plain,
    ( ~ zip_tseitin_6
    | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl102,plain,
    ~ zip_tseitin_6,
    inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl54]) ).

thf(zip_derived_cl105,plain,
    ( ( sk__9 != sk__10 )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11 ) @ v_L ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl102]) ).

thf(zip_derived_cl42,plain,
    ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl80_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_2 @ X1 @ X0 )
      | ( X0 = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl77,zip_derived_cl72]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52_004,plain,
    ( zip_tseitin_6
    | ~ ( zip_tseitin_5 @ sk__10 @ sk__9 )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11 ) @ v_L )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl65,plain,
    ( ~ ( zip_tseitin_2 @ sk__9 @ sk__10 )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11 ) @ v_L )
    | zip_tseitin_6 ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl52]) ).

thf(zip_derived_cl64_005,plain,
    ! [X0: $i] :
      ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0 ) @ v_L ),
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl50]) ).

thf(zip_derived_cl66,plain,
    ( zip_tseitin_6
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ~ ( zip_tseitin_2 @ sk__9 @ sk__10 ) ),
    inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl64]) ).

thf(zip_derived_cl82,plain,
    ( ( sk__10 = sk__9 )
    | ~ ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | zip_tseitin_6 ),
    inference('sup-',[status(thm)],[zip_derived_cl80,zip_derived_cl66]) ).

thf(zip_derived_cl84,plain,
    ( ~ zip_tseitin_4
    | zip_tseitin_6
    | ( sk__10 = sk__9 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl82]) ).

thf(zip_derived_cl53_006,plain,
    ( zip_tseitin_6
    | zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl86,plain,
    ( ( sk__10 = sk__9 )
    | zip_tseitin_6 ),
    inference(clc,[status(thm)],[zip_derived_cl84,zip_derived_cl53]) ).

thf(zip_derived_cl102_007,plain,
    ~ zip_tseitin_6,
    inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl54]) ).

thf(zip_derived_cl107,plain,
    sk__10 = sk__9,
    inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl102]) ).

thf(zip_derived_cl42_008,plain,
    ( ( c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L )
    | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl53_009,plain,
    ( zip_tseitin_6
    | zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_11]) ).

thf(zip_derived_cl102_010,plain,
    ~ zip_tseitin_6,
    inference(clc,[status(thm)],[zip_derived_cl99,zip_derived_cl54]) ).

thf(zip_derived_cl104,plain,
    zip_tseitin_4,
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl102]) ).

thf(zip_derived_cl108,plain,
    c_Relation_Otrans @ tc_Arrow__Order__Mirabelle_Oalt @ v_L,
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl104]) ).

thf(zip_derived_cl114,plain,
    ( ( sk__10 != sk__10 )
    | ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11 ) @ v_L ) ),
    inference(demod,[status(thm)],[zip_derived_cl105,zip_derived_cl107,zip_derived_cl108]) ).

thf(zip_derived_cl115,plain,
    c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ sk__11 @ sk__11 ) @ v_L,
    inference(simplify,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl64_011,plain,
    ! [X0: $i] :
      ~ ( c_member @ ( tc_prod @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt ) @ ( c_Product__Type_OPair @ tc_Arrow__Order__Mirabelle_Oalt @ tc_Arrow__Order__Mirabelle_Oalt @ X0 @ X0 ) @ v_L ),
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl50]) ).

thf(zip_derived_cl119,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl64]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SCT105+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cI8uUH7Uu7 true
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu Aug 24 16:07:51 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.63  % Total configuration time : 435
% 0.20/0.63  % Estimated wc time : 1092
% 0.20/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.82/0.83  % Solved by fo/fo4.sh.
% 1.82/0.83  % done 73 iterations in 0.060s
% 1.82/0.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.82/0.83  % SZS output start Refutation
% See solution above
% 1.82/0.84  
% 1.82/0.84  
% 1.82/0.84  % Terminating...
% 2.35/0.94  % Runner terminated.
% 2.35/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------