TSTP Solution File: CSR061+3 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : CSR061+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n001.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 : Tue Sep 20 14:27:50 EDT 2022

% Result   : Theorem 15.49s 10.36s
% Output   : Proof 15.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  118
% Syntax   : Number of formulae    :  217 (  60 unt;  22 typ;   0 def)
%            Number of atoms       : 1124 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives : 1648 ( 763   ~; 717   |;  48   &)
%                                         ( 109 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   44 (  44 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :  486 ( 462   !;   0   ?; 486   :)

% Comments : 
%------------------------------------------------------------------------------
tff(genls_type,type,
    genls: ( $i * $i ) > $o ).

tff(c_tptpcol_3_114688_type,type,
    c_tptpcol_3_114688: $i ).

tff(c_tptpcol_14_118118_type,type,
    c_tptpcol_14_118118: $i ).

tff(c_tptpcol_9_118019_type,type,
    c_tptpcol_9_118019: $i ).

tff(c_tptpcol_6_116738_type,type,
    c_tptpcol_6_116738: $i ).

tff(c_tptpcol_5_114690_type,type,
    c_tptpcol_5_114690: $i ).

tff(c_tptpcol_4_114689_type,type,
    c_tptpcol_4_114689: $i ).

tff(c_tptpcol_8_117763_type,type,
    c_tptpcol_8_117763: $i ).

tff(c_tptpcol_7_117762_type,type,
    c_tptpcol_7_117762: $i ).

tff(c_tptpcol_11_118084_type,type,
    c_tptpcol_11_118084: $i ).

tff(c_tptpcol_12_118116_type,type,
    c_tptpcol_12_118116: $i ).

tff(c_tptpcol_13_118117_type,type,
    c_tptpcol_13_118117: $i ).

tff(c_tptpcol_10_118020_type,type,
    c_tptpcol_10_118020: $i ).

tff(disjointwith_type,type,
    disjointwith: ( $i * $i ) > $o ).

tff(c_tptpcol_3_98305_type,type,
    c_tptpcol_3_98305: $i ).

tff(c_tptpcol_6_112641_type,type,
    c_tptpcol_6_112641: $i ).

tff(c_tptpcol_4_106497_type,type,
    c_tptpcol_4_106497: $i ).

tff(c_tptpcol_5_110593_type,type,
    c_tptpcol_5_110593: $i ).

tff(c_tptpcol_8_114177_type,type,
    c_tptpcol_8_114177: $i ).

tff(c_tptpcol_7_113665_type,type,
    c_tptpcol_7_113665: $i ).

tff(mtvisible_type,type,
    mtvisible: $i > $o ).

tff(c_timehasnoendmt_type,type,
    c_timehasnoendmt: $i ).

tff(1,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( genls(ARG1,NEW)
        | ~ genls(OLD,NEW)
        | ~ genls(ARG1,OLD) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( genls(ARG1,NEW)
        | ~ genls(OLD,NEW)
        | ~ genls(ARG1,OLD) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(2,plain,
    ^ [ARG1: $i,OLD: $i,NEW: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              rewrite(
                ( ( genls(ARG1,OLD)
                  & genls(OLD,NEW) )
              <=> ~ ( ~ genls(OLD,NEW)
                    | ~ genls(ARG1,OLD) ) )),
              ( ~ ( genls(ARG1,OLD)
                  & genls(OLD,NEW) )
            <=> ~ ~ ( ~ genls(OLD,NEW)
                    | ~ genls(ARG1,OLD) ) )),
            rewrite(
              ( ~ ~ ( ~ genls(OLD,NEW)
                    | ~ genls(ARG1,OLD) )
            <=> ( ~ genls(OLD,NEW)
                | ~ genls(ARG1,OLD) ) )),
            ( ~ ( genls(ARG1,OLD)
                & genls(OLD,NEW) )
          <=> ( ~ genls(OLD,NEW)
              | ~ genls(ARG1,OLD) ) )),
          ( ( ~ ( genls(ARG1,OLD)
                & genls(OLD,NEW) )
            | genls(ARG1,NEW) )
        <=> ( ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD)
            | genls(ARG1,NEW) ) )),
        rewrite(
          ( ( ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD)
            | genls(ARG1,NEW) )
        <=> ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) ) )),
        ( ( ~ ( genls(ARG1,OLD)
              & genls(OLD,NEW) )
          | genls(ARG1,NEW) )
      <=> ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) ) )),
    inference(bind,[status(th)],]) ).

tff(3,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( genls(ARG1,OLD)
            & genls(OLD,NEW) )
        | genls(ARG1,NEW) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( genls(ARG1,NEW)
        | ~ genls(OLD,NEW)
        | ~ genls(ARG1,OLD) ) ),
    inference(quant_intro,[status(thm)],[2]) ).

tff(4,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( genls(ARG1,OLD)
            & genls(OLD,NEW) )
        | genls(ARG1,NEW) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( genls(ARG1,OLD)
            & genls(OLD,NEW) )
        | genls(ARG1,NEW) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(5,plain,
    ^ [ARG1: $i,OLD: $i,NEW: $i] :
      rewrite(
        ( ( ( genls(ARG1,OLD)
            & genls(OLD,NEW) )
         => genls(ARG1,NEW) )
      <=> ( ~ ( genls(ARG1,OLD)
              & genls(OLD,NEW) )
          | genls(ARG1,NEW) ) )),
    inference(bind,[status(th)],]) ).

tff(6,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ( genls(ARG1,OLD)
          & genls(OLD,NEW) )
       => genls(ARG1,NEW) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( genls(ARG1,OLD)
            & genls(OLD,NEW) )
        | genls(ARG1,NEW) ) ),
    inference(quant_intro,[status(thm)],[5]) ).

tff(7,axiom,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ( genls(ARG1,OLD)
        & genls(OLD,NEW) )
     => genls(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7995) ).

tff(8,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ~ ( genls(ARG1,OLD)
          & genls(OLD,NEW) )
      | genls(ARG1,NEW) ),
    inference(modus_ponens,[status(thm)],[7,6]) ).

tff(9,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ~ ( genls(ARG1,OLD)
          & genls(OLD,NEW) )
      | genls(ARG1,NEW) ),
    inference(modus_ponens,[status(thm)],[8,4]) ).

tff(10,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ~ ( genls(ARG1,OLD)
          & genls(OLD,NEW) )
      | genls(ARG1,NEW) ),
    inference(skolemize,[status(sab)],[9]) ).

tff(11,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( genls(ARG1,NEW)
      | ~ genls(OLD,NEW)
      | ~ genls(ARG1,OLD) ),
    inference(modus_ponens,[status(thm)],[10,3]) ).

tff(12,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( genls(ARG1,NEW)
      | ~ genls(OLD,NEW)
      | ~ genls(ARG1,OLD) ),
    inference(modus_ponens,[status(thm)],[11,1]) ).

tff(13,plain,
    ( genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
  <=> genls(c_tptpcol_4_114689,c_tptpcol_3_114688) ),
    inference(rewrite,[status(thm)],]) ).

tff(14,axiom,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1323) ).

tff(15,plain,
    genls(c_tptpcol_4_114689,c_tptpcol_3_114688),
    inference(modus_ponens,[status(thm)],[14,13]) ).

tff(16,plain,
    ( genls(c_tptpcol_5_114690,c_tptpcol_4_114689)
  <=> genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
    inference(rewrite,[status(thm)],]) ).

tff(17,axiom,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_817) ).

tff(18,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_4_114689),
    inference(modus_ponens,[status(thm)],[17,16]) ).

tff(19,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(20,plain,
    ( ( genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
  <=> ( ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(21,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
    inference(monotonicity,[status(thm)],[20]) ).

tff(22,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
      | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ) ),
    inference(transitivity,[status(thm)],[21,19]) ).

tff(23,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
    inference(quant_inst,[status(thm)],]) ).

tff(24,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_4_114689,c_tptpcol_3_114688)
    | genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_5_114690,c_tptpcol_4_114689) ),
    inference(modus_ponens,[status(thm)],[23,22]) ).

tff(25,plain,
    genls(c_tptpcol_5_114690,c_tptpcol_3_114688),
    inference(unit_resolution,[status(thm)],[24,18,15,12]) ).

tff(26,plain,
    ( genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
  <=> genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
    inference(rewrite,[status(thm)],]) ).

tff(27,axiom,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2341) ).

tff(28,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_5_114690),
    inference(modus_ponens,[status(thm)],[27,26]) ).

tff(29,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | genls(c_tptpcol_6_116738,c_tptpcol_3_114688) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(30,plain,
    ( ( genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
  <=> ( ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(31,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
    inference(monotonicity,[status(thm)],[30]) ).

tff(32,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
      | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
      | genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ) ),
    inference(transitivity,[status(thm)],[31,29]) ).

tff(33,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690) ),
    inference(quant_inst,[status(thm)],]) ).

tff(34,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_6_116738,c_tptpcol_5_114690)
    | ~ genls(c_tptpcol_5_114690,c_tptpcol_3_114688)
    | genls(c_tptpcol_6_116738,c_tptpcol_3_114688) ),
    inference(modus_ponens,[status(thm)],[33,32]) ).

tff(35,plain,
    genls(c_tptpcol_6_116738,c_tptpcol_3_114688),
    inference(unit_resolution,[status(thm)],[34,28,12,25]) ).

tff(36,plain,
    ( genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
  <=> genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ),
    inference(rewrite,[status(thm)],]) ).

tff(37,axiom,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_966) ).

tff(38,plain,
    genls(c_tptpcol_7_117762,c_tptpcol_6_116738),
    inference(modus_ponens,[status(thm)],[37,36]) ).

tff(39,plain,
    ( genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
  <=> genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
    inference(rewrite,[status(thm)],]) ).

tff(40,axiom,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_716) ).

tff(41,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_7_117762),
    inference(modus_ponens,[status(thm)],[40,39]) ).

tff(42,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
      | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
      | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(43,plain,
    ( ( genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
  <=> ( ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
      | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(44,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
      | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ) ),
    inference(monotonicity,[status(thm)],[43]) ).

tff(45,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
      | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ) ),
    inference(transitivity,[status(thm)],[44,42]) ).

tff(46,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
    | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738)
    | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762) ),
    inference(quant_inst,[status(thm)],]) ).

tff(47,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_8_117763,c_tptpcol_7_117762)
    | genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
    | ~ genls(c_tptpcol_7_117762,c_tptpcol_6_116738) ),
    inference(modus_ponens,[status(thm)],[46,45]) ).

tff(48,plain,
    genls(c_tptpcol_8_117763,c_tptpcol_6_116738),
    inference(unit_resolution,[status(thm)],[47,41,38,12]) ).

tff(49,plain,
    ( genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
  <=> genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ),
    inference(rewrite,[status(thm)],]) ).

tff(50,axiom,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_976) ).

tff(51,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_8_117763),
    inference(modus_ponens,[status(thm)],[50,49]) ).

tff(52,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
      | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
      | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(53,plain,
    ( ( genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) )
  <=> ( ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
      | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(54,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
      | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ) ),
    inference(monotonicity,[status(thm)],[53]) ).

tff(55,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
      | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ) ),
    inference(transitivity,[status(thm)],[54,52]) ).

tff(56,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
    | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738)
    | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763) ),
    inference(quant_inst,[status(thm)],]) ).

tff(57,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_9_118019,c_tptpcol_8_117763)
    | genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
    | ~ genls(c_tptpcol_8_117763,c_tptpcol_6_116738) ),
    inference(modus_ponens,[status(thm)],[56,55]) ).

tff(58,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_6_116738),
    inference(unit_resolution,[status(thm)],[57,51,12,48]) ).

tff(59,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | genls(c_tptpcol_9_118019,c_tptpcol_3_114688) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(60,plain,
    ( ( genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738) )
  <=> ( ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(61,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(monotonicity,[status(thm)],[60]) ).

tff(62,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
      | genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(transitivity,[status(thm)],[61,59]) ).

tff(63,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738) ),
    inference(quant_inst,[status(thm)],]) ).

tff(64,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_6_116738,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_9_118019,c_tptpcol_6_116738)
    | genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ),
    inference(modus_ponens,[status(thm)],[63,62]) ).

tff(65,plain,
    genls(c_tptpcol_9_118019,c_tptpcol_3_114688),
    inference(unit_resolution,[status(thm)],[64,12,58,35]) ).

tff(66,plain,
    ( genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
  <=> genls(c_tptpcol_13_118117,c_tptpcol_12_118116) ),
    inference(rewrite,[status(thm)],]) ).

tff(67,axiom,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_3445) ).

tff(68,plain,
    genls(c_tptpcol_13_118117,c_tptpcol_12_118116),
    inference(modus_ponens,[status(thm)],[67,66]) ).

tff(69,plain,
    ( genls(c_tptpcol_14_118118,c_tptpcol_13_118117)
  <=> genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
    inference(rewrite,[status(thm)],]) ).

tff(70,axiom,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_436) ).

tff(71,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_13_118117),
    inference(modus_ponens,[status(thm)],[70,69]) ).

tff(72,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
      | ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
      | ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(73,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
    | ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
    inference(quant_inst,[status(thm)],]) ).

tff(74,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_14_118118,c_tptpcol_12_118116)
    | ~ genls(c_tptpcol_13_118117,c_tptpcol_12_118116)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_13_118117) ),
    inference(modus_ponens,[status(thm)],[73,72]) ).

tff(75,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_12_118116),
    inference(unit_resolution,[status(thm)],[74,71,68,12]) ).

tff(76,plain,
    ( genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
  <=> genls(c_tptpcol_12_118116,c_tptpcol_11_118084) ),
    inference(rewrite,[status(thm)],]) ).

tff(77,axiom,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1914) ).

tff(78,plain,
    genls(c_tptpcol_12_118116,c_tptpcol_11_118084),
    inference(modus_ponens,[status(thm)],[77,76]) ).

tff(79,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(80,plain,
    ( ( genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) )
  <=> ( ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(81,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
    inference(monotonicity,[status(thm)],[80]) ).

tff(82,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
      | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ) ),
    inference(transitivity,[status(thm)],[81,79]) ).

tff(83,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
    | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ),
    inference(quant_inst,[status(thm)],]) ).

tff(84,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_12_118116,c_tptpcol_11_118084)
    | genls(c_tptpcol_14_118118,c_tptpcol_11_118084)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_12_118116) ),
    inference(modus_ponens,[status(thm)],[83,82]) ).

tff(85,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_11_118084),
    inference(unit_resolution,[status(thm)],[84,78,12,75]) ).

tff(86,plain,
    ( genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
  <=> genls(c_tptpcol_11_118084,c_tptpcol_10_118020) ),
    inference(rewrite,[status(thm)],]) ).

tff(87,axiom,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2515) ).

tff(88,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_10_118020),
    inference(modus_ponens,[status(thm)],[87,86]) ).

tff(89,plain,
    ( genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
  <=> genls(c_tptpcol_10_118020,c_tptpcol_9_118019) ),
    inference(rewrite,[status(thm)],]) ).

tff(90,axiom,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1422) ).

tff(91,plain,
    genls(c_tptpcol_10_118020,c_tptpcol_9_118019),
    inference(modus_ponens,[status(thm)],[90,89]) ).

tff(92,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
      | genls(c_tptpcol_11_118084,c_tptpcol_9_118019) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
      | genls(c_tptpcol_11_118084,c_tptpcol_9_118019) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(93,plain,
    ( ( genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
  <=> ( ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
      | genls(c_tptpcol_11_118084,c_tptpcol_9_118019) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(94,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
      | genls(c_tptpcol_11_118084,c_tptpcol_9_118019) ) ),
    inference(monotonicity,[status(thm)],[93]) ).

tff(95,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
      | genls(c_tptpcol_11_118084,c_tptpcol_9_118019) ) ),
    inference(transitivity,[status(thm)],[94,92]) ).

tff(96,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
    | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
    | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020) ),
    inference(quant_inst,[status(thm)],]) ).

tff(97,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_10_118020,c_tptpcol_9_118019)
    | ~ genls(c_tptpcol_11_118084,c_tptpcol_10_118020)
    | genls(c_tptpcol_11_118084,c_tptpcol_9_118019) ),
    inference(modus_ponens,[status(thm)],[96,95]) ).

tff(98,plain,
    genls(c_tptpcol_11_118084,c_tptpcol_9_118019),
    inference(unit_resolution,[status(thm)],[97,91,88,12]) ).

tff(99,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(100,plain,
    ( ( genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
  <=> ( ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(101,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
    inference(monotonicity,[status(thm)],[100]) ).

tff(102,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ) ),
    inference(transitivity,[status(thm)],[101,99]) ).

tff(103,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
    | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ),
    inference(quant_inst,[status(thm)],]) ).

tff(104,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_11_118084,c_tptpcol_9_118019)
    | genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_11_118084) ),
    inference(modus_ponens,[status(thm)],[103,102]) ).

tff(105,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_9_118019),
    inference(unit_resolution,[status(thm)],[104,12,98,85]) ).

tff(106,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(107,plain,
    ( ( genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019) )
  <=> ( ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(108,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(monotonicity,[status(thm)],[107]) ).

tff(109,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
      | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ) ),
    inference(transitivity,[status(thm)],[108,106]) ).

tff(110,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019) ),
    inference(quant_inst,[status(thm)],]) ).

tff(111,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_9_118019)
    | genls(c_tptpcol_14_118118,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_9_118019,c_tptpcol_3_114688) ),
    inference(modus_ponens,[status(thm)],[110,109]) ).

tff(112,plain,
    genls(c_tptpcol_14_118118,c_tptpcol_3_114688),
    inference(unit_resolution,[status(thm)],[111,12,105,65]) ).

tff(113,plain,
    ( genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
  <=> genls(c_tptpcol_5_110593,c_tptpcol_4_106497) ),
    inference(rewrite,[status(thm)],]) ).

tff(114,axiom,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_4158) ).

tff(115,plain,
    genls(c_tptpcol_5_110593,c_tptpcol_4_106497),
    inference(modus_ponens,[status(thm)],[114,113]) ).

tff(116,plain,
    ( genls(c_tptpcol_6_112641,c_tptpcol_5_110593)
  <=> genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
    inference(rewrite,[status(thm)],]) ).

tff(117,axiom,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1417) ).

tff(118,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_5_110593),
    inference(modus_ponens,[status(thm)],[117,116]) ).

tff(119,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
      | ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
      | ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(120,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
    | ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
    | ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
    inference(quant_inst,[status(thm)],]) ).

tff(121,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
    | ~ genls(c_tptpcol_5_110593,c_tptpcol_4_106497)
    | ~ genls(c_tptpcol_6_112641,c_tptpcol_5_110593) ),
    inference(modus_ponens,[status(thm)],[120,119]) ).

tff(122,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_4_106497),
    inference(unit_resolution,[status(thm)],[121,118,115,12]) ).

tff(123,plain,
    ( genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
  <=> genls(c_tptpcol_4_106497,c_tptpcol_3_98305) ),
    inference(rewrite,[status(thm)],]) ).

tff(124,axiom,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2474) ).

tff(125,plain,
    genls(c_tptpcol_4_106497,c_tptpcol_3_98305),
    inference(modus_ponens,[status(thm)],[124,123]) ).

tff(126,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
      | genls(c_tptpcol_6_112641,c_tptpcol_3_98305) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
      | genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(127,plain,
    ( ( genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497) )
  <=> ( ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
      | genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(128,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
      | genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
    inference(monotonicity,[status(thm)],[127]) ).

tff(129,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
      | genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ) ),
    inference(transitivity,[status(thm)],[128,126]) ).

tff(130,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
    | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
    | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497) ),
    inference(quant_inst,[status(thm)],]) ).

tff(131,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_4_106497,c_tptpcol_3_98305)
    | ~ genls(c_tptpcol_6_112641,c_tptpcol_4_106497)
    | genls(c_tptpcol_6_112641,c_tptpcol_3_98305) ),
    inference(modus_ponens,[status(thm)],[130,129]) ).

tff(132,plain,
    genls(c_tptpcol_6_112641,c_tptpcol_3_98305),
    inference(unit_resolution,[status(thm)],[131,125,12,122]) ).

tff(133,plain,
    ( genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
  <=> genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ),
    inference(rewrite,[status(thm)],]) ).

tff(134,axiom,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_3407) ).

tff(135,plain,
    genls(c_tptpcol_7_113665,c_tptpcol_6_112641),
    inference(modus_ponens,[status(thm)],[134,133]) ).

tff(136,plain,
    ( genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
  <=> genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
    inference(rewrite,[status(thm)],]) ).

tff(137,axiom,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_467) ).

tff(138,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_7_113665),
    inference(modus_ponens,[status(thm)],[137,136]) ).

tff(139,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
      | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
      | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(140,plain,
    ( ( genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
  <=> ( ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
      | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(141,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
      | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ) ),
    inference(monotonicity,[status(thm)],[140]) ).

tff(142,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( genls(ARG1,NEW)
            | ~ genls(OLD,NEW)
            | ~ genls(ARG1,OLD) )
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
      | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ) ),
    inference(transitivity,[status(thm)],[141,139]) ).

tff(143,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
    | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641)
    | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665) ),
    inference(quant_inst,[status(thm)],]) ).

tff(144,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( genls(ARG1,NEW)
          | ~ genls(OLD,NEW)
          | ~ genls(ARG1,OLD) )
    | ~ genls(c_tptpcol_8_114177,c_tptpcol_7_113665)
    | genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
    | ~ genls(c_tptpcol_7_113665,c_tptpcol_6_112641) ),
    inference(modus_ponens,[status(thm)],[143,142]) ).

tff(145,plain,
    genls(c_tptpcol_8_114177,c_tptpcol_6_112641),
    inference(unit_resolution,[status(thm)],[144,138,135,12]) ).

tff(146,plain,
    ( ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
  <=> ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(rewrite,[status(thm)],]) ).

tff(147,plain,
    ( ~ ( mtvisible(c_timehasnoendmt)
       => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) )
  <=> ~ ( ~ mtvisible(c_timehasnoendmt)
        | disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(148,axiom,
    ~ ( mtvisible(c_timehasnoendmt)
     => disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query161) ).

tff(149,plain,
    ~ ( ~ mtvisible(c_timehasnoendmt)
      | disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118) ),
    inference(modus_ponens,[status(thm)],[148,147]) ).

tff(150,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(or_elim,[status(thm)],[149]) ).

tff(151,plain,
    ~ disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118),
    inference(modus_ponens,[status(thm)],[150,146]) ).

tff(152,plain,
    ^ [OLD: $i,ARG2: $i,NEW: $i] :
      refl(
        ( ( disjointwith(NEW,ARG2)
          | ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) )
      <=> ( disjointwith(NEW,ARG2)
          | ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) ) )),
    inference(bind,[status(th)],]) ).

tff(153,plain,
    ( ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( disjointwith(NEW,ARG2)
        | ~ genls(NEW,OLD)
        | ~ disjointwith(OLD,ARG2) )
  <=> ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( disjointwith(NEW,ARG2)
        | ~ genls(NEW,OLD)
        | ~ disjointwith(OLD,ARG2) ) ),
    inference(quant_intro,[status(thm)],[152]) ).

tff(154,plain,
    ^ [OLD: $i,ARG2: $i,NEW: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              rewrite(
                ( ( disjointwith(OLD,ARG2)
                  & genls(NEW,OLD) )
              <=> ~ ( ~ disjointwith(OLD,ARG2)
                    | ~ genls(NEW,OLD) ) )),
              ( ~ ( disjointwith(OLD,ARG2)
                  & genls(NEW,OLD) )
            <=> ~ ~ ( ~ disjointwith(OLD,ARG2)
                    | ~ genls(NEW,OLD) ) )),
            rewrite(
              ( ~ ~ ( ~ disjointwith(OLD,ARG2)
                    | ~ genls(NEW,OLD) )
            <=> ( ~ disjointwith(OLD,ARG2)
                | ~ genls(NEW,OLD) ) )),
            ( ~ ( disjointwith(OLD,ARG2)
                & genls(NEW,OLD) )
          <=> ( ~ disjointwith(OLD,ARG2)
              | ~ genls(NEW,OLD) ) )),
          ( ( ~ ( disjointwith(OLD,ARG2)
                & genls(NEW,OLD) )
            | disjointwith(NEW,ARG2) )
        <=> ( ~ disjointwith(OLD,ARG2)
            | ~ genls(NEW,OLD)
            | disjointwith(NEW,ARG2) ) )),
        rewrite(
          ( ( ~ disjointwith(OLD,ARG2)
            | ~ genls(NEW,OLD)
            | disjointwith(NEW,ARG2) )
        <=> ( disjointwith(NEW,ARG2)
            | ~ genls(NEW,OLD)
            | ~ disjointwith(OLD,ARG2) ) )),
        ( ( ~ ( disjointwith(OLD,ARG2)
              & genls(NEW,OLD) )
          | disjointwith(NEW,ARG2) )
      <=> ( disjointwith(NEW,ARG2)
          | ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) ) )),
    inference(bind,[status(th)],]) ).

tff(155,plain,
    ( ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( ~ ( disjointwith(OLD,ARG2)
            & genls(NEW,OLD) )
        | disjointwith(NEW,ARG2) )
  <=> ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( disjointwith(NEW,ARG2)
        | ~ genls(NEW,OLD)
        | ~ disjointwith(OLD,ARG2) ) ),
    inference(quant_intro,[status(thm)],[154]) ).

tff(156,plain,
    ( ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( ~ ( disjointwith(OLD,ARG2)
            & genls(NEW,OLD) )
        | disjointwith(NEW,ARG2) )
  <=> ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( ~ ( disjointwith(OLD,ARG2)
            & genls(NEW,OLD) )
        | disjointwith(NEW,ARG2) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(157,plain,
    ^ [OLD: $i,ARG2: $i,NEW: $i] :
      rewrite(
        ( ( ( disjointwith(OLD,ARG2)
            & genls(NEW,OLD) )
         => disjointwith(NEW,ARG2) )
      <=> ( ~ ( disjointwith(OLD,ARG2)
              & genls(NEW,OLD) )
          | disjointwith(NEW,ARG2) ) )),
    inference(bind,[status(th)],]) ).

tff(158,plain,
    ( ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( ( disjointwith(OLD,ARG2)
          & genls(NEW,OLD) )
       => disjointwith(NEW,ARG2) )
  <=> ! [OLD: $i,ARG2: $i,NEW: $i] :
        ( ~ ( disjointwith(OLD,ARG2)
            & genls(NEW,OLD) )
        | disjointwith(NEW,ARG2) ) ),
    inference(quant_intro,[status(thm)],[157]) ).

tff(159,axiom,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( ( disjointwith(OLD,ARG2)
        & genls(NEW,OLD) )
     => disjointwith(NEW,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7586) ).

tff(160,plain,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( ~ ( disjointwith(OLD,ARG2)
          & genls(NEW,OLD) )
      | disjointwith(NEW,ARG2) ),
    inference(modus_ponens,[status(thm)],[159,158]) ).

tff(161,plain,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( ~ ( disjointwith(OLD,ARG2)
          & genls(NEW,OLD) )
      | disjointwith(NEW,ARG2) ),
    inference(modus_ponens,[status(thm)],[160,156]) ).

tff(162,plain,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( ~ ( disjointwith(OLD,ARG2)
          & genls(NEW,OLD) )
      | disjointwith(NEW,ARG2) ),
    inference(skolemize,[status(sab)],[161]) ).

tff(163,plain,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( disjointwith(NEW,ARG2)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(OLD,ARG2) ),
    inference(modus_ponens,[status(thm)],[162,155]) ).

tff(164,plain,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( disjointwith(NEW,ARG2)
      | ~ genls(NEW,OLD)
      | ~ disjointwith(OLD,ARG2) ),
    inference(modus_ponens,[status(thm)],[163,153]) ).

tff(165,plain,
    ( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
            ( disjointwith(NEW,ARG2)
            | ~ genls(NEW,OLD)
            | ~ disjointwith(OLD,ARG2) )
      | disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118) )
  <=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
            ( disjointwith(NEW,ARG2)
            | ~ genls(NEW,OLD)
            | ~ disjointwith(OLD,ARG2) )
      | disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
      | ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(166,plain,
    ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( disjointwith(NEW,ARG2)
          | ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) )
    | disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
    | ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
    | ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118) ),
    inference(quant_inst,[status(thm)],]) ).

tff(167,plain,
    ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( disjointwith(NEW,ARG2)
          | ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) )
    | disjointwith(c_tptpcol_8_114177,c_tptpcol_14_118118)
    | ~ genls(c_tptpcol_8_114177,c_tptpcol_6_112641)
    | ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118) ),
    inference(modus_ponens,[status(thm)],[166,165]) ).

tff(168,plain,
    ~ disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118),
    inference(unit_resolution,[status(thm)],[167,164,151,145]) ).

tff(169,plain,
    ( ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
            ( disjointwith(NEW,ARG2)
            | ~ genls(NEW,OLD)
            | ~ disjointwith(OLD,ARG2) )
      | disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) )
  <=> ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
            ( disjointwith(NEW,ARG2)
            | ~ genls(NEW,OLD)
            | ~ disjointwith(OLD,ARG2) )
      | disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(170,plain,
    ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( disjointwith(NEW,ARG2)
          | ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) )
    | disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118)
    | ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
    | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ),
    inference(quant_inst,[status(thm)],]) ).

tff(171,plain,
    ( ~ ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( disjointwith(NEW,ARG2)
          | ~ genls(NEW,OLD)
          | ~ disjointwith(OLD,ARG2) )
    | disjointwith(c_tptpcol_6_112641,c_tptpcol_14_118118)
    | ~ genls(c_tptpcol_6_112641,c_tptpcol_3_98305)
    | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118) ),
    inference(modus_ponens,[status(thm)],[170,169]) ).

tff(172,plain,
    ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118),
    inference(unit_resolution,[status(thm)],[171,164,168,132]) ).

tff(173,plain,
    ^ [ARG1: $i,OLD: $i,NEW: $i] :
      refl(
        ( ( disjointwith(ARG1,NEW)
          | ~ disjointwith(ARG1,OLD)
          | ~ genls(NEW,OLD) )
      <=> ( disjointwith(ARG1,NEW)
          | ~ disjointwith(ARG1,OLD)
          | ~ genls(NEW,OLD) ) )),
    inference(bind,[status(th)],]) ).

tff(174,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( disjointwith(ARG1,NEW)
        | ~ disjointwith(ARG1,OLD)
        | ~ genls(NEW,OLD) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( disjointwith(ARG1,NEW)
        | ~ disjointwith(ARG1,OLD)
        | ~ genls(NEW,OLD) ) ),
    inference(quant_intro,[status(thm)],[173]) ).

tff(175,plain,
    ^ [ARG1: $i,OLD: $i,NEW: $i] :
      trans(
        monotonicity(
          trans(
            monotonicity(
              rewrite(
                ( ( disjointwith(ARG1,OLD)
                  & genls(NEW,OLD) )
              <=> ~ ( ~ disjointwith(ARG1,OLD)
                    | ~ genls(NEW,OLD) ) )),
              ( ~ ( disjointwith(ARG1,OLD)
                  & genls(NEW,OLD) )
            <=> ~ ~ ( ~ disjointwith(ARG1,OLD)
                    | ~ genls(NEW,OLD) ) )),
            rewrite(
              ( ~ ~ ( ~ disjointwith(ARG1,OLD)
                    | ~ genls(NEW,OLD) )
            <=> ( ~ disjointwith(ARG1,OLD)
                | ~ genls(NEW,OLD) ) )),
            ( ~ ( disjointwith(ARG1,OLD)
                & genls(NEW,OLD) )
          <=> ( ~ disjointwith(ARG1,OLD)
              | ~ genls(NEW,OLD) ) )),
          ( ( ~ ( disjointwith(ARG1,OLD)
                & genls(NEW,OLD) )
            | disjointwith(ARG1,NEW) )
        <=> ( ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD)
            | disjointwith(ARG1,NEW) ) )),
        rewrite(
          ( ( ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD)
            | disjointwith(ARG1,NEW) )
        <=> ( disjointwith(ARG1,NEW)
            | ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD) ) )),
        ( ( ~ ( disjointwith(ARG1,OLD)
              & genls(NEW,OLD) )
          | disjointwith(ARG1,NEW) )
      <=> ( disjointwith(ARG1,NEW)
          | ~ disjointwith(ARG1,OLD)
          | ~ genls(NEW,OLD) ) )),
    inference(bind,[status(th)],]) ).

tff(176,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( disjointwith(ARG1,OLD)
            & genls(NEW,OLD) )
        | disjointwith(ARG1,NEW) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( disjointwith(ARG1,NEW)
        | ~ disjointwith(ARG1,OLD)
        | ~ genls(NEW,OLD) ) ),
    inference(quant_intro,[status(thm)],[175]) ).

tff(177,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( disjointwith(ARG1,OLD)
            & genls(NEW,OLD) )
        | disjointwith(ARG1,NEW) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( disjointwith(ARG1,OLD)
            & genls(NEW,OLD) )
        | disjointwith(ARG1,NEW) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(178,plain,
    ^ [ARG1: $i,OLD: $i,NEW: $i] :
      rewrite(
        ( ( ( disjointwith(ARG1,OLD)
            & genls(NEW,OLD) )
         => disjointwith(ARG1,NEW) )
      <=> ( ~ ( disjointwith(ARG1,OLD)
              & genls(NEW,OLD) )
          | disjointwith(ARG1,NEW) ) )),
    inference(bind,[status(th)],]) ).

tff(179,plain,
    ( ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ( disjointwith(ARG1,OLD)
          & genls(NEW,OLD) )
       => disjointwith(ARG1,NEW) )
  <=> ! [ARG1: $i,OLD: $i,NEW: $i] :
        ( ~ ( disjointwith(ARG1,OLD)
            & genls(NEW,OLD) )
        | disjointwith(ARG1,NEW) ) ),
    inference(quant_intro,[status(thm)],[178]) ).

tff(180,axiom,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ( disjointwith(ARG1,OLD)
        & genls(NEW,OLD) )
     => disjointwith(ARG1,NEW) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7585) ).

tff(181,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ~ ( disjointwith(ARG1,OLD)
          & genls(NEW,OLD) )
      | disjointwith(ARG1,NEW) ),
    inference(modus_ponens,[status(thm)],[180,179]) ).

tff(182,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ~ ( disjointwith(ARG1,OLD)
          & genls(NEW,OLD) )
      | disjointwith(ARG1,NEW) ),
    inference(modus_ponens,[status(thm)],[181,177]) ).

tff(183,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ~ ( disjointwith(ARG1,OLD)
          & genls(NEW,OLD) )
      | disjointwith(ARG1,NEW) ),
    inference(skolemize,[status(sab)],[182]) ).

tff(184,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( disjointwith(ARG1,NEW)
      | ~ disjointwith(ARG1,OLD)
      | ~ genls(NEW,OLD) ),
    inference(modus_ponens,[status(thm)],[183,176]) ).

tff(185,plain,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( disjointwith(ARG1,NEW)
      | ~ disjointwith(ARG1,OLD)
      | ~ genls(NEW,OLD) ),
    inference(modus_ponens,[status(thm)],[184,174]) ).

tff(186,plain,
    ( disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
  <=> disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688) ),
    inference(rewrite,[status(thm)],]) ).

tff(187,axiom,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2345) ).

tff(188,plain,
    disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688),
    inference(modus_ponens,[status(thm)],[187,186]) ).

tff(189,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( disjointwith(ARG1,NEW)
            | ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD) )
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( disjointwith(ARG1,NEW)
            | ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD) )
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(190,plain,
    ( ( disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
  <=> ( ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(191,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( disjointwith(ARG1,NEW)
            | ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD) )
      | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( disjointwith(ARG1,NEW)
            | ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD) )
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
    inference(monotonicity,[status(thm)],[190]) ).

tff(192,plain,
    ( ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( disjointwith(ARG1,NEW)
            | ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD) )
      | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) )
  <=> ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
            ( disjointwith(ARG1,NEW)
            | ~ disjointwith(ARG1,OLD)
            | ~ genls(NEW,OLD) )
      | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
      | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
      | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ) ),
    inference(transitivity,[status(thm)],[191,189]) ).

tff(193,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( disjointwith(ARG1,NEW)
          | ~ disjointwith(ARG1,OLD)
          | ~ genls(NEW,OLD) )
    | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
    | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ),
    inference(quant_inst,[status(thm)],]) ).

tff(194,plain,
    ( ~ ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( disjointwith(ARG1,NEW)
          | ~ disjointwith(ARG1,OLD)
          | ~ genls(NEW,OLD) )
    | ~ disjointwith(c_tptpcol_3_98305,c_tptpcol_3_114688)
    | disjointwith(c_tptpcol_3_98305,c_tptpcol_14_118118)
    | ~ genls(c_tptpcol_14_118118,c_tptpcol_3_114688) ),
    inference(modus_ponens,[status(thm)],[193,192]) ).

tff(195,plain,
    $false,
    inference(unit_resolution,[status(thm)],[194,188,185,172,112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR061+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n001.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 : Tue Aug 30 19:36:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35  Usage: tptp [options] [-file:]file
% 0.13/0.35    -h, -?       prints this message.
% 0.13/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.35    -m, -model   generate model.
% 0.13/0.35    -p, -proof   generate proof.
% 0.13/0.35    -c, -core    generate unsat core of named formulas.
% 0.13/0.35    -st, -statistics display statistics.
% 0.13/0.35    -t:timeout   set timeout (in second).
% 0.13/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35    -<param>:<value> configuration parameter and value.
% 0.13/0.35    -o:<output-file> file to place output in.
% 15.49/10.36  % SZS status Theorem
% 15.49/10.36  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------