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Z3---4.15.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : MGT013-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : run_E %s %d THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:23:56 AM UTC 2026

% Result   : Unsatisfiable 0.13s 0.41s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   67
% Syntax   : Number of formulae    :  153 (  44 unt;   0 typ;   0 def)
%            Number of atoms       : 1525 ( 117 equ)
%            Maximal formula atoms :   28 (   9 avg)
%            Number of connectives : 2493 (1230   ~;1143   |;   0   &)
%                                         ( 120 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  109 ( 109 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  505 ( 459   !;   0   ?; 505   :)

% Comments : 
%------------------------------------------------------------------------------
tff(greater_type,type,
    greater: ( $i * $i ) > $o ).

tff(sk3_type,type,
    sk3: $i ).

tff(sk2_type,type,
    sk2: $i ).

tff(complexity_type,type,
    complexity: ( $i * $i * $i ) > $o ).

tff(sk6_type,type,
    sk6: $i ).

tff(sk1_type,type,
    sk1: $i ).

tff(sk7_type,type,
    sk7: $i ).

tff(sk5_type,type,
    sk5: $i ).

tff(sk4_type,type,
    sk4: $i ).

tff(size_type,type,
    size: ( $i * $i * $i ) > $o ).

tff(reorganization_free_type,type,
    reorganization_free: ( $i * $i * $i ) > $o ).

tff(organization_type,type,
    organization: ( $i * $i ) > $o ).

tff(time_type,type,
    time: $i > $o ).

tff(1,plain,
    ( greater(sk4,sk5)
  <=> greater(sk4,sk5) ),
    inference(rewrite,[status(thm)],[]) ).

tff(2,axiom,
    greater(sk4,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_34) ).

tff(3,plain,
    greater(sk4,sk5),
    inference(modus_ponens,[status(thm)],[2,1]) ).

tff(4,plain,
    ( size(sk1,sk5,sk7)
  <=> size(sk1,sk5,sk7) ),
    inference(rewrite,[status(thm)],[]) ).

tff(5,axiom,
    size(sk1,sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_32) ).

tff(6,plain,
    size(sk1,sk5,sk7),
    inference(modus_ponens,[status(thm)],[5,4]) ).

tff(7,plain,
    ( size(sk1,sk4,sk6)
  <=> size(sk1,sk4,sk6) ),
    inference(rewrite,[status(thm)],[]) ).

tff(8,axiom,
    size(sk1,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_31) ).

tff(9,plain,
    size(sk1,sk4,sk6),
    inference(modus_ponens,[status(thm)],[8,7]) ).

tff(10,plain,
    ( reorganization_free(sk1,sk6,sk7)
  <=> reorganization_free(sk1,sk6,sk7) ),
    inference(rewrite,[status(thm)],[]) ).

tff(11,axiom,
    reorganization_free(sk1,sk6,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_28) ).

tff(12,plain,
    reorganization_free(sk1,sk6,sk7),
    inference(modus_ponens,[status(thm)],[11,10]) ).

tff(13,plain,
    ( organization(sk1,sk7)
  <=> organization(sk1,sk7) ),
    inference(rewrite,[status(thm)],[]) ).

tff(14,axiom,
    organization(sk1,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_27) ).

tff(15,plain,
    organization(sk1,sk7),
    inference(modus_ponens,[status(thm)],[14,13]) ).

tff(16,plain,
    ( organization(sk1,sk6)
  <=> organization(sk1,sk6) ),
    inference(rewrite,[status(thm)],[]) ).

tff(17,axiom,
    organization(sk1,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_26) ).

tff(18,plain,
    organization(sk1,sk6),
    inference(modus_ponens,[status(thm)],[17,16]) ).

tff(19,plain,
    ^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
      refl(( ( ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ size(A,E,C)
          | ~ size(A,D,B)
          | ~ reorganization_free(A,B,C) )
      <=> ( ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ size(A,E,C)
          | ~ size(A,D,B)
          | ~ reorganization_free(A,B,C) ) )),
    inference(bind,[status(th)],[]) ).

tff(20,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ size(A,E,C)
        | ~ size(A,D,B)
        | ~ reorganization_free(A,B,C) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ size(A,E,C)
        | ~ size(A,D,B)
        | ~ reorganization_free(A,B,C) ) ),
    inference(quant_intro,[status(thm)],[19]) ).

tff(21,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ size(A,E,C)
        | ~ size(A,D,B)
        | ~ reorganization_free(A,B,C) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ size(A,E,C)
        | ~ size(A,D,B)
        | ~ reorganization_free(A,B,C) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(22,plain,
    ^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
      trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( ~ organization(A,B)
                              | ~ organization(A,C) )
                          <=> ( ~ organization(A,C)
                              | ~ organization(A,B) ) )),
                          ( ( ~ organization(A,B)
                            | ~ organization(A,C)
                            | ~ reorganization_free(A,B,C) )
                        <=> ( ~ organization(A,C)
                            | ~ organization(A,B)
                            | ~ reorganization_free(A,B,C) ) )),
                        rewrite(( ( ~ organization(A,C)
                            | ~ organization(A,B)
                            | ~ reorganization_free(A,B,C) )
                        <=> ( ~ organization(A,C)
                            | ~ organization(A,B)
                            | ~ reorganization_free(A,B,C) ) )),
                        ( ( ~ organization(A,B)
                          | ~ organization(A,C)
                          | ~ reorganization_free(A,B,C) )
                      <=> ( ~ organization(A,C)
                          | ~ organization(A,B)
                          | ~ reorganization_free(A,B,C) ) )),
                      ( ( ~ organization(A,B)
                        | ~ organization(A,C)
                        | ~ reorganization_free(A,B,C)
                        | ~ size(A,D,B) )
                    <=> ( ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ reorganization_free(A,B,C)
                        | ~ size(A,D,B) ) )),
                    rewrite(( ( ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ reorganization_free(A,B,C)
                        | ~ size(A,D,B) )
                    <=> ( ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ size(A,D,B)
                        | ~ reorganization_free(A,B,C) ) )),
                    ( ( ~ organization(A,B)
                      | ~ organization(A,C)
                      | ~ reorganization_free(A,B,C)
                      | ~ size(A,D,B) )
                  <=> ( ~ organization(A,C)
                      | ~ organization(A,B)
                      | ~ size(A,D,B)
                      | ~ reorganization_free(A,B,C) ) )),
                  ( ( ~ organization(A,B)
                    | ~ organization(A,C)
                    | ~ reorganization_free(A,B,C)
                    | ~ size(A,D,B)
                    | ~ size(A,E,C) )
                <=> ( ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ size(A,D,B)
                    | ~ reorganization_free(A,B,C)
                    | ~ size(A,E,C) ) )),
                rewrite(( ( ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ size(A,D,B)
                    | ~ reorganization_free(A,B,C)
                    | ~ size(A,E,C) )
                <=> ( ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ size(A,E,C)
                    | ~ size(A,D,B)
                    | ~ reorganization_free(A,B,C) ) )),
                ( ( ~ organization(A,B)
                  | ~ organization(A,C)
                  | ~ reorganization_free(A,B,C)
                  | ~ size(A,D,B)
                  | ~ size(A,E,C) )
              <=> ( ~ organization(A,C)
                  | ~ organization(A,B)
                  | ~ size(A,E,C)
                  | ~ size(A,D,B)
                  | ~ reorganization_free(A,B,C) ) )),
              ( ( ~ organization(A,B)
                | ~ organization(A,C)
                | ~ reorganization_free(A,B,C)
                | ~ size(A,D,B)
                | ~ size(A,E,C)
                | ~ greater(C,B) )
            <=> ( ~ organization(A,C)
                | ~ organization(A,B)
                | ~ size(A,E,C)
                | ~ size(A,D,B)
                | ~ reorganization_free(A,B,C)
                | ~ greater(C,B) ) )),
            rewrite(( ( ~ organization(A,C)
                | ~ organization(A,B)
                | ~ size(A,E,C)
                | ~ size(A,D,B)
                | ~ reorganization_free(A,B,C)
                | ~ greater(C,B) )
            <=> ( ~ organization(A,C)
                | ~ organization(A,B)
                | ~ greater(C,B)
                | ~ size(A,E,C)
                | ~ size(A,D,B)
                | ~ reorganization_free(A,B,C) ) )),
            ( ( ~ organization(A,B)
              | ~ organization(A,C)
              | ~ reorganization_free(A,B,C)
              | ~ size(A,D,B)
              | ~ size(A,E,C)
              | ~ greater(C,B) )
          <=> ( ~ organization(A,C)
              | ~ organization(A,B)
              | ~ greater(C,B)
              | ~ size(A,E,C)
              | ~ size(A,D,B)
              | ~ reorganization_free(A,B,C) ) )),
          ( ( ~ organization(A,B)
            | ~ organization(A,C)
            | ~ reorganization_free(A,B,C)
            | ~ size(A,D,B)
            | ~ size(A,E,C)
            | ~ greater(C,B)
            | ~ greater(D,E) )
        <=> ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C)
            | ~ greater(D,E) ) )),
        rewrite(( ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C)
            | ~ greater(D,E) )
        <=> ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C) ) )),
        ( ( ~ organization(A,B)
          | ~ organization(A,C)
          | ~ reorganization_free(A,B,C)
          | ~ size(A,D,B)
          | ~ size(A,E,C)
          | ~ greater(C,B)
          | ~ greater(D,E) )
      <=> ( ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ size(A,E,C)
          | ~ size(A,D,B)
          | ~ reorganization_free(A,B,C) ) )),
    inference(bind,[status(th)],[]) ).

tff(23,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,B)
        | ~ organization(A,C)
        | ~ reorganization_free(A,B,C)
        | ~ size(A,D,B)
        | ~ size(A,E,C)
        | ~ greater(C,B)
        | ~ greater(D,E) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ size(A,E,C)
        | ~ size(A,D,B)
        | ~ reorganization_free(A,B,C) ) ),
    inference(quant_intro,[status(thm)],[22]) ).

tff(24,axiom,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ organization(A,B)
      | ~ organization(A,C)
      | ~ reorganization_free(A,B,C)
      | ~ size(A,D,B)
      | ~ size(A,E,C)
      | ~ greater(C,B)
      | ~ greater(D,E) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_24) ).

tff(25,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ size(A,E,C)
      | ~ size(A,D,B)
      | ~ reorganization_free(A,B,C) ),
    inference(modus_ponens,[status(thm)],[24,23]) ).

tff(26,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ size(A,E,C)
      | ~ size(A,D,B)
      | ~ reorganization_free(A,B,C) ),
    inference(modus_ponens,[status(thm)],[25,21]) ).

tff(27,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ size(A,E,C)
      | ~ size(A,D,B)
      | ~ reorganization_free(A,B,C) ),
    inference(skolemize,[status(sab)],[26]) ).

tff(28,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ size(A,E,C)
      | ~ size(A,D,B)
      | ~ reorganization_free(A,B,C) ),
    inference(modus_ponens,[status(thm)],[27,20]) ).

tff(29,plain,
    ( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk4,sk5)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ reorganization_free(sk1,sk6,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7) )
  <=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk4,sk5)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ reorganization_free(sk1,sk6,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(30,plain,
    ( ( ~ organization(sk1,sk7)
      | ~ organization(sk1,sk6)
      | ~ greater(sk4,sk5)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ reorganization_free(sk1,sk6,sk7) )
  <=> ( ~ greater(sk4,sk5)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ reorganization_free(sk1,sk6,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(31,plain,
    ( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C) )
      | ~ organization(sk1,sk7)
      | ~ organization(sk1,sk6)
      | ~ greater(sk4,sk5)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ reorganization_free(sk1,sk6,sk7) )
  <=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk4,sk5)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ reorganization_free(sk1,sk6,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7) ) ),
    inference(monotonicity,[status(thm)],[30]) ).

tff(32,plain,
    ( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C) )
      | ~ organization(sk1,sk7)
      | ~ organization(sk1,sk6)
      | ~ greater(sk4,sk5)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ reorganization_free(sk1,sk6,sk7) )
  <=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ size(A,E,C)
            | ~ size(A,D,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk4,sk5)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ reorganization_free(sk1,sk6,sk7)
      | ~ size(sk1,sk4,sk6)
      | ~ greater(sk7,sk6)
      | ~ size(sk1,sk5,sk7) ) ),
    inference(transitivity,[status(thm)],[31,29]) ).

tff(33,plain,
    ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
          ( ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ size(A,E,C)
          | ~ size(A,D,B)
          | ~ reorganization_free(A,B,C) )
    | ~ organization(sk1,sk7)
    | ~ organization(sk1,sk6)
    | ~ greater(sk4,sk5)
    | ~ greater(sk7,sk6)
    | ~ size(sk1,sk5,sk7)
    | ~ size(sk1,sk4,sk6)
    | ~ reorganization_free(sk1,sk6,sk7) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(34,plain,
    ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
          ( ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ size(A,E,C)
          | ~ size(A,D,B)
          | ~ reorganization_free(A,B,C) )
    | ~ greater(sk4,sk5)
    | ~ organization(sk1,sk6)
    | ~ organization(sk1,sk7)
    | ~ reorganization_free(sk1,sk6,sk7)
    | ~ size(sk1,sk4,sk6)
    | ~ greater(sk7,sk6)
    | ~ size(sk1,sk5,sk7) ),
    inference(modus_ponens,[status(thm)],[33,32]) ).

tff(35,plain,
    ~ greater(sk7,sk6),
    inference(unit_resolution,[status(thm)],[34,28,18,15,12,9,6,3]) ).

tff(36,plain,
    ^ [B: $i,A: $i,C: $i] :
      refl(( ( ~ reorganization_free(A,B,C)
          | reorganization_free(A,C,B) )
      <=> ( ~ reorganization_free(A,B,C)
          | reorganization_free(A,C,B) ) )),
    inference(bind,[status(th)],[]) ).

tff(37,plain,
    ( ! [B: $i,A: $i,C: $i] :
        ( ~ reorganization_free(A,B,C)
        | reorganization_free(A,C,B) )
  <=> ! [B: $i,A: $i,C: $i] :
        ( ~ reorganization_free(A,B,C)
        | reorganization_free(A,C,B) ) ),
    inference(quant_intro,[status(thm)],[36]) ).

tff(38,plain,
    ( ! [B: $i,A: $i,C: $i] :
        ( ~ reorganization_free(A,B,C)
        | reorganization_free(A,C,B) )
  <=> ! [B: $i,A: $i,C: $i] :
        ( ~ reorganization_free(A,B,C)
        | reorganization_free(A,C,B) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(39,axiom,
    ! [B: $i,A: $i,C: $i] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,C,B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17_22) ).

tff(40,plain,
    ! [B: $i,A: $i,C: $i] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,C,B) ),
    inference(modus_ponens,[status(thm)],[39,38]) ).

tff(41,plain,
    ! [B: $i,A: $i,C: $i] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,C,B) ),
    inference(skolemize,[status(sab)],[40]) ).

tff(42,plain,
    ! [B: $i,A: $i,C: $i] :
      ( ~ reorganization_free(A,B,C)
      | reorganization_free(A,C,B) ),
    inference(modus_ponens,[status(thm)],[41,37]) ).

tff(43,plain,
    ( ( ~ ! [B: $i,A: $i,C: $i] :
            ( ~ reorganization_free(A,B,C)
            | reorganization_free(A,C,B) )
      | ~ reorganization_free(sk1,sk6,sk7)
      | reorganization_free(sk1,sk7,sk6) )
  <=> ( ~ ! [B: $i,A: $i,C: $i] :
            ( ~ reorganization_free(A,B,C)
            | reorganization_free(A,C,B) )
      | ~ reorganization_free(sk1,sk6,sk7)
      | reorganization_free(sk1,sk7,sk6) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(44,plain,
    ( ~ ! [B: $i,A: $i,C: $i] :
          ( ~ reorganization_free(A,B,C)
          | reorganization_free(A,C,B) )
    | ~ reorganization_free(sk1,sk6,sk7)
    | reorganization_free(sk1,sk7,sk6) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(45,plain,
    ( ~ ! [B: $i,A: $i,C: $i] :
          ( ~ reorganization_free(A,B,C)
          | reorganization_free(A,C,B) )
    | ~ reorganization_free(sk1,sk6,sk7)
    | reorganization_free(sk1,sk7,sk6) ),
    inference(modus_ponens,[status(thm)],[44,43]) ).

tff(46,plain,
    reorganization_free(sk1,sk7,sk6),
    inference(unit_resolution,[status(thm)],[45,42,12]) ).

tff(47,plain,
    ( greater(sk3,sk2)
  <=> greater(sk3,sk2) ),
    inference(rewrite,[status(thm)],[]) ).

tff(48,axiom,
    greater(sk3,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_33) ).

tff(49,plain,
    greater(sk3,sk2),
    inference(modus_ponens,[status(thm)],[48,47]) ).

tff(50,plain,
    ( complexity(sk1,sk3,sk7)
  <=> complexity(sk1,sk3,sk7) ),
    inference(rewrite,[status(thm)],[]) ).

tff(51,axiom,
    complexity(sk1,sk3,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_30) ).

tff(52,plain,
    complexity(sk1,sk3,sk7),
    inference(modus_ponens,[status(thm)],[51,50]) ).

tff(53,plain,
    ( complexity(sk1,sk2,sk6)
  <=> complexity(sk1,sk2,sk6) ),
    inference(rewrite,[status(thm)],[]) ).

tff(54,axiom,
    complexity(sk1,sk2,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_29) ).

tff(55,plain,
    complexity(sk1,sk2,sk6),
    inference(modus_ponens,[status(thm)],[54,53]) ).

tff(56,plain,
    ^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
      refl(( ( ~ complexity(A,E,C)
          | ~ complexity(A,D,B)
          | ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ reorganization_free(A,B,C) )
      <=> ( ~ complexity(A,E,C)
          | ~ complexity(A,D,B)
          | ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ reorganization_free(A,B,C) ) )),
    inference(bind,[status(th)],[]) ).

tff(57,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ reorganization_free(A,B,C) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ reorganization_free(A,B,C) ) ),
    inference(quant_intro,[status(thm)],[56]) ).

tff(58,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ reorganization_free(A,B,C) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ reorganization_free(A,B,C) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(59,plain,
    ^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
      trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( ~ organization(A,B)
                              | ~ organization(A,C) )
                          <=> ( ~ organization(A,C)
                              | ~ organization(A,B) ) )),
                          ( ( ~ organization(A,B)
                            | ~ organization(A,C)
                            | ~ reorganization_free(A,B,C) )
                        <=> ( ~ organization(A,C)
                            | ~ organization(A,B)
                            | ~ reorganization_free(A,B,C) ) )),
                        rewrite(( ( ~ organization(A,C)
                            | ~ organization(A,B)
                            | ~ reorganization_free(A,B,C) )
                        <=> ( ~ organization(A,C)
                            | ~ organization(A,B)
                            | ~ reorganization_free(A,B,C) ) )),
                        ( ( ~ organization(A,B)
                          | ~ organization(A,C)
                          | ~ reorganization_free(A,B,C) )
                      <=> ( ~ organization(A,C)
                          | ~ organization(A,B)
                          | ~ reorganization_free(A,B,C) ) )),
                      ( ( ~ organization(A,B)
                        | ~ organization(A,C)
                        | ~ reorganization_free(A,B,C)
                        | ~ complexity(A,D,B) )
                    <=> ( ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ reorganization_free(A,B,C)
                        | ~ complexity(A,D,B) ) )),
                    rewrite(( ( ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ reorganization_free(A,B,C)
                        | ~ complexity(A,D,B) )
                    <=> ( ~ complexity(A,D,B)
                        | ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ reorganization_free(A,B,C) ) )),
                    ( ( ~ organization(A,B)
                      | ~ organization(A,C)
                      | ~ reorganization_free(A,B,C)
                      | ~ complexity(A,D,B) )
                  <=> ( ~ complexity(A,D,B)
                      | ~ organization(A,C)
                      | ~ organization(A,B)
                      | ~ reorganization_free(A,B,C) ) )),
                  ( ( ~ organization(A,B)
                    | ~ organization(A,C)
                    | ~ reorganization_free(A,B,C)
                    | ~ complexity(A,D,B)
                    | ~ complexity(A,E,C) )
                <=> ( ~ complexity(A,D,B)
                    | ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ reorganization_free(A,B,C)
                    | ~ complexity(A,E,C) ) )),
                rewrite(( ( ~ complexity(A,D,B)
                    | ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ reorganization_free(A,B,C)
                    | ~ complexity(A,E,C) )
                <=> ( ~ complexity(A,E,C)
                    | ~ complexity(A,D,B)
                    | ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ reorganization_free(A,B,C) ) )),
                ( ( ~ organization(A,B)
                  | ~ organization(A,C)
                  | ~ reorganization_free(A,B,C)
                  | ~ complexity(A,D,B)
                  | ~ complexity(A,E,C) )
              <=> ( ~ complexity(A,E,C)
                  | ~ complexity(A,D,B)
                  | ~ organization(A,C)
                  | ~ organization(A,B)
                  | ~ reorganization_free(A,B,C) ) )),
              ( ( ~ organization(A,B)
                | ~ organization(A,C)
                | ~ reorganization_free(A,B,C)
                | ~ complexity(A,D,B)
                | ~ complexity(A,E,C)
                | ~ greater(C,B) )
            <=> ( ~ complexity(A,E,C)
                | ~ complexity(A,D,B)
                | ~ organization(A,C)
                | ~ organization(A,B)
                | ~ reorganization_free(A,B,C)
                | ~ greater(C,B) ) )),
            rewrite(( ( ~ complexity(A,E,C)
                | ~ complexity(A,D,B)
                | ~ organization(A,C)
                | ~ organization(A,B)
                | ~ reorganization_free(A,B,C)
                | ~ greater(C,B) )
            <=> ( ~ complexity(A,E,C)
                | ~ complexity(A,D,B)
                | ~ organization(A,C)
                | ~ organization(A,B)
                | ~ greater(C,B)
                | ~ reorganization_free(A,B,C) ) )),
            ( ( ~ organization(A,B)
              | ~ organization(A,C)
              | ~ reorganization_free(A,B,C)
              | ~ complexity(A,D,B)
              | ~ complexity(A,E,C)
              | ~ greater(C,B) )
          <=> ( ~ complexity(A,E,C)
              | ~ complexity(A,D,B)
              | ~ organization(A,C)
              | ~ organization(A,B)
              | ~ greater(C,B)
              | ~ reorganization_free(A,B,C) ) )),
          ( ( ~ organization(A,B)
            | ~ organization(A,C)
            | ~ reorganization_free(A,B,C)
            | ~ complexity(A,D,B)
            | ~ complexity(A,E,C)
            | ~ greater(C,B)
            | ~ greater(D,E) )
        <=> ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C)
            | ~ greater(D,E) ) )),
        rewrite(( ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C)
            | ~ greater(D,E) )
        <=> ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C) ) )),
        ( ( ~ organization(A,B)
          | ~ organization(A,C)
          | ~ reorganization_free(A,B,C)
          | ~ complexity(A,D,B)
          | ~ complexity(A,E,C)
          | ~ greater(C,B)
          | ~ greater(D,E) )
      <=> ( ~ complexity(A,E,C)
          | ~ complexity(A,D,B)
          | ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ reorganization_free(A,B,C) ) )),
    inference(bind,[status(th)],[]) ).

tff(60,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,B)
        | ~ organization(A,C)
        | ~ reorganization_free(A,B,C)
        | ~ complexity(A,D,B)
        | ~ complexity(A,E,C)
        | ~ greater(C,B)
        | ~ greater(D,E) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B)
        | ~ greater(D,E)
        | ~ greater(C,B)
        | ~ reorganization_free(A,B,C) ) ),
    inference(quant_intro,[status(thm)],[59]) ).

tff(61,axiom,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ organization(A,B)
      | ~ organization(A,C)
      | ~ reorganization_free(A,B,C)
      | ~ complexity(A,D,B)
      | ~ complexity(A,E,C)
      | ~ greater(C,B)
      | ~ greater(D,E) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL_25) ).

tff(62,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ complexity(A,E,C)
      | ~ complexity(A,D,B)
      | ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ reorganization_free(A,B,C) ),
    inference(modus_ponens,[status(thm)],[61,60]) ).

tff(63,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ complexity(A,E,C)
      | ~ complexity(A,D,B)
      | ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ reorganization_free(A,B,C) ),
    inference(modus_ponens,[status(thm)],[62,58]) ).

tff(64,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ complexity(A,E,C)
      | ~ complexity(A,D,B)
      | ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ reorganization_free(A,B,C) ),
    inference(skolemize,[status(sab)],[63]) ).

tff(65,plain,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ complexity(A,E,C)
      | ~ complexity(A,D,B)
      | ~ organization(A,C)
      | ~ organization(A,B)
      | ~ greater(D,E)
      | ~ greater(C,B)
      | ~ reorganization_free(A,B,C) ),
    inference(modus_ponens,[status(thm)],[64,57]) ).

tff(66,plain,
    ( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk3,sk2)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) )
  <=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk3,sk2)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(67,plain,
    ( ( ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ greater(sk3,sk2)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) )
  <=> ( ~ greater(sk3,sk2)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(68,plain,
    ( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C) )
      | ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ greater(sk3,sk2)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) )
  <=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk3,sk2)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) ) ),
    inference(monotonicity,[status(thm)],[67]) ).

tff(69,plain,
    ( ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C) )
      | ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ greater(sk3,sk2)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) )
  <=> ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
            ( ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ~ greater(D,E)
            | ~ greater(C,B)
            | ~ reorganization_free(A,B,C) )
      | ~ greater(sk3,sk2)
      | ~ organization(sk1,sk6)
      | ~ organization(sk1,sk7)
      | ~ complexity(sk1,sk2,sk6)
      | ~ complexity(sk1,sk3,sk7)
      | ~ greater(sk6,sk7)
      | ~ reorganization_free(sk1,sk7,sk6) ) ),
    inference(transitivity,[status(thm)],[68,66]) ).

tff(70,plain,
    ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
          ( ~ complexity(A,E,C)
          | ~ complexity(A,D,B)
          | ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ reorganization_free(A,B,C) )
    | ~ complexity(sk1,sk2,sk6)
    | ~ complexity(sk1,sk3,sk7)
    | ~ organization(sk1,sk6)
    | ~ organization(sk1,sk7)
    | ~ greater(sk3,sk2)
    | ~ greater(sk6,sk7)
    | ~ reorganization_free(sk1,sk7,sk6) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(71,plain,
    ( ~ ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
          ( ~ complexity(A,E,C)
          | ~ complexity(A,D,B)
          | ~ organization(A,C)
          | ~ organization(A,B)
          | ~ greater(D,E)
          | ~ greater(C,B)
          | ~ reorganization_free(A,B,C) )
    | ~ greater(sk3,sk2)
    | ~ organization(sk1,sk6)
    | ~ organization(sk1,sk7)
    | ~ complexity(sk1,sk2,sk6)
    | ~ complexity(sk1,sk3,sk7)
    | ~ greater(sk6,sk7)
    | ~ reorganization_free(sk1,sk7,sk6) ),
    inference(modus_ponens,[status(thm)],[70,69]) ).

tff(72,plain,
    ~ greater(sk6,sk7),
    inference(unit_resolution,[status(thm)],[71,65,18,15,55,52,49,46]) ).

tff(73,plain,
    ^ [B: $i,A: $i] :
      refl(( ( time(B)
          | ~ organization(A,B) )
      <=> ( time(B)
          | ~ organization(A,B) ) )),
    inference(bind,[status(th)],[]) ).

tff(74,plain,
    ( ! [B: $i,A: $i] :
        ( time(B)
        | ~ organization(A,B) )
  <=> ! [B: $i,A: $i] :
        ( time(B)
        | ~ organization(A,B) ) ),
    inference(quant_intro,[status(thm)],[73]) ).

tff(75,plain,
    ( ! [B: $i,A: $i] :
        ( time(B)
        | ~ organization(A,B) )
  <=> ! [B: $i,A: $i] :
        ( time(B)
        | ~ organization(A,B) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(76,plain,
    ^ [B: $i,A: $i] :
      rewrite(( ( ~ organization(A,B)
          | time(B) )
      <=> ( time(B)
          | ~ organization(A,B) ) )),
    inference(bind,[status(th)],[]) ).

tff(77,plain,
    ( ! [B: $i,A: $i] :
        ( ~ organization(A,B)
        | time(B) )
  <=> ! [B: $i,A: $i] :
        ( time(B)
        | ~ organization(A,B) ) ),
    inference(quant_intro,[status(thm)],[76]) ).

tff(78,axiom,
    ! [B: $i,A: $i] :
      ( ~ organization(A,B)
      | time(B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15_20) ).

tff(79,plain,
    ! [B: $i,A: $i] :
      ( time(B)
      | ~ organization(A,B) ),
    inference(modus_ponens,[status(thm)],[78,77]) ).

tff(80,plain,
    ! [B: $i,A: $i] :
      ( time(B)
      | ~ organization(A,B) ),
    inference(modus_ponens,[status(thm)],[79,75]) ).

tff(81,plain,
    ! [B: $i,A: $i] :
      ( time(B)
      | ~ organization(A,B) ),
    inference(skolemize,[status(sab)],[80]) ).

tff(82,plain,
    ! [B: $i,A: $i] :
      ( time(B)
      | ~ organization(A,B) ),
    inference(modus_ponens,[status(thm)],[81,74]) ).

tff(83,plain,
    ( ( ~ ! [B: $i,A: $i] :
            ( time(B)
            | ~ organization(A,B) )
      | time(sk7)
      | ~ organization(sk1,sk7) )
  <=> ( ~ ! [B: $i,A: $i] :
            ( time(B)
            | ~ organization(A,B) )
      | time(sk7)
      | ~ organization(sk1,sk7) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(84,plain,
    ( ~ ! [B: $i,A: $i] :
          ( time(B)
          | ~ organization(A,B) )
    | time(sk7)
    | ~ organization(sk1,sk7) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(85,plain,
    ( ~ ! [B: $i,A: $i] :
          ( time(B)
          | ~ organization(A,B) )
    | time(sk7)
    | ~ organization(sk1,sk7) ),
    inference(modus_ponens,[status(thm)],[84,83]) ).

tff(86,plain,
    time(sk7),
    inference(unit_resolution,[status(thm)],[85,82,15]) ).

tff(87,plain,
    ( ( ~ ! [B: $i,A: $i] :
            ( time(B)
            | ~ organization(A,B) )
      | time(sk6)
      | ~ organization(sk1,sk6) )
  <=> ( ~ ! [B: $i,A: $i] :
            ( time(B)
            | ~ organization(A,B) )
      | time(sk6)
      | ~ organization(sk1,sk6) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(88,plain,
    ( ~ ! [B: $i,A: $i] :
          ( time(B)
          | ~ organization(A,B) )
    | time(sk6)
    | ~ organization(sk1,sk6) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(89,plain,
    ( ~ ! [B: $i,A: $i] :
          ( time(B)
          | ~ organization(A,B) )
    | time(sk6)
    | ~ organization(sk1,sk6) ),
    inference(modus_ponens,[status(thm)],[88,87]) ).

tff(90,plain,
    time(sk6),
    inference(unit_resolution,[status(thm)],[89,82,18]) ).

tff(91,plain,
    ^ [B: $i,A: $i] :
      refl(( ( ( A = B )
          | greater(A,B)
          | greater(B,A)
          | ~ time(B)
          | ~ time(A) )
      <=> ( ( A = B )
          | greater(A,B)
          | greater(B,A)
          | ~ time(B)
          | ~ time(A) ) )),
    inference(bind,[status(th)],[]) ).

tff(92,plain,
    ( ! [B: $i,A: $i] :
        ( ( A = B )
        | greater(A,B)
        | greater(B,A)
        | ~ time(B)
        | ~ time(A) )
  <=> ! [B: $i,A: $i] :
        ( ( A = B )
        | greater(A,B)
        | greater(B,A)
        | ~ time(B)
        | ~ time(A) ) ),
    inference(quant_intro,[status(thm)],[91]) ).

tff(93,plain,
    ( ! [B: $i,A: $i] :
        ( ( A = B )
        | greater(A,B)
        | greater(B,A)
        | ~ time(B)
        | ~ time(A) )
  <=> ! [B: $i,A: $i] :
        ( ( A = B )
        | greater(A,B)
        | greater(B,A)
        | ~ time(B)
        | ~ time(A) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(94,plain,
    ^ [B: $i,A: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( ~ time(A)
                  | ~ time(B)
                  | greater(A,B) )
              <=> ( greater(A,B)
                  | ~ time(B)
                  | ~ time(A) ) )),
              ( ( ~ time(A)
                | ~ time(B)
                | greater(A,B)
                | ( A = B ) )
            <=> ( greater(A,B)
                | ~ time(B)
                | ~ time(A)
                | ( A = B ) ) )),
            rewrite(( ( greater(A,B)
                | ~ time(B)
                | ~ time(A)
                | ( A = B ) )
            <=> ( ( A = B )
                | greater(A,B)
                | ~ time(B)
                | ~ time(A) ) )),
            ( ( ~ time(A)
              | ~ time(B)
              | greater(A,B)
              | ( A = B ) )
          <=> ( ( A = B )
              | greater(A,B)
              | ~ time(B)
              | ~ time(A) ) )),
          ( ( ~ time(A)
            | ~ time(B)
            | greater(A,B)
            | ( A = B )
            | greater(B,A) )
        <=> ( ( A = B )
            | greater(A,B)
            | ~ time(B)
            | ~ time(A)
            | greater(B,A) ) )),
        rewrite(( ( ( A = B )
            | greater(A,B)
            | ~ time(B)
            | ~ time(A)
            | greater(B,A) )
        <=> ( ( A = B )
            | greater(A,B)
            | greater(B,A)
            | ~ time(B)
            | ~ time(A) ) )),
        ( ( ~ time(A)
          | ~ time(B)
          | greater(A,B)
          | ( A = B )
          | greater(B,A) )
      <=> ( ( A = B )
          | greater(A,B)
          | greater(B,A)
          | ~ time(B)
          | ~ time(A) ) )),
    inference(bind,[status(th)],[]) ).

tff(95,plain,
    ( ! [B: $i,A: $i] :
        ( ~ time(A)
        | ~ time(B)
        | greater(A,B)
        | ( A = B )
        | greater(B,A) )
  <=> ! [B: $i,A: $i] :
        ( ( A = B )
        | greater(A,B)
        | greater(B,A)
        | ~ time(B)
        | ~ time(A) ) ),
    inference(quant_intro,[status(thm)],[94]) ).

tff(96,axiom,
    ! [B: $i,A: $i] :
      ( ~ time(A)
      | ~ time(B)
      | greater(A,B)
      | ( A = B )
      | greater(B,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16_21) ).

tff(97,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | greater(A,B)
      | greater(B,A)
      | ~ time(B)
      | ~ time(A) ),
    inference(modus_ponens,[status(thm)],[96,95]) ).

tff(98,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | greater(A,B)
      | greater(B,A)
      | ~ time(B)
      | ~ time(A) ),
    inference(modus_ponens,[status(thm)],[97,93]) ).

tff(99,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | greater(A,B)
      | greater(B,A)
      | ~ time(B)
      | ~ time(A) ),
    inference(skolemize,[status(sab)],[98]) ).

tff(100,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | greater(A,B)
      | greater(B,A)
      | ~ time(B)
      | ~ time(A) ),
    inference(modus_ponens,[status(thm)],[99,92]) ).

tff(101,plain,
    ( ( ~ ! [B: $i,A: $i] :
            ( ( A = B )
            | greater(A,B)
            | greater(B,A)
            | ~ time(B)
            | ~ time(A) )
      | greater(sk6,sk7)
      | greater(sk7,sk6)
      | ( sk7 = sk6 )
      | ~ time(sk6)
      | ~ time(sk7) )
  <=> ( ~ ! [B: $i,A: $i] :
            ( ( A = B )
            | greater(A,B)
            | greater(B,A)
            | ~ time(B)
            | ~ time(A) )
      | greater(sk6,sk7)
      | greater(sk7,sk6)
      | ( sk7 = sk6 )
      | ~ time(sk6)
      | ~ time(sk7) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(102,plain,
    ( ( ( sk7 = sk6 )
      | greater(sk7,sk6)
      | greater(sk6,sk7)
      | ~ time(sk6)
      | ~ time(sk7) )
  <=> ( greater(sk6,sk7)
      | greater(sk7,sk6)
      | ( sk7 = sk6 )
      | ~ time(sk6)
      | ~ time(sk7) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(103,plain,
    ( ( ~ ! [B: $i,A: $i] :
            ( ( A = B )
            | greater(A,B)
            | greater(B,A)
            | ~ time(B)
            | ~ time(A) )
      | ( sk7 = sk6 )
      | greater(sk7,sk6)
      | greater(sk6,sk7)
      | ~ time(sk6)
      | ~ time(sk7) )
  <=> ( ~ ! [B: $i,A: $i] :
            ( ( A = B )
            | greater(A,B)
            | greater(B,A)
            | ~ time(B)
            | ~ time(A) )
      | greater(sk6,sk7)
      | greater(sk7,sk6)
      | ( sk7 = sk6 )
      | ~ time(sk6)
      | ~ time(sk7) ) ),
    inference(monotonicity,[status(thm)],[102]) ).

tff(104,plain,
    ( ( ~ ! [B: $i,A: $i] :
            ( ( A = B )
            | greater(A,B)
            | greater(B,A)
            | ~ time(B)
            | ~ time(A) )
      | ( sk7 = sk6 )
      | greater(sk7,sk6)
      | greater(sk6,sk7)
      | ~ time(sk6)
      | ~ time(sk7) )
  <=> ( ~ ! [B: $i,A: $i] :
            ( ( A = B )
            | greater(A,B)
            | greater(B,A)
            | ~ time(B)
            | ~ time(A) )
      | greater(sk6,sk7)
      | greater(sk7,sk6)
      | ( sk7 = sk6 )
      | ~ time(sk6)
      | ~ time(sk7) ) ),
    inference(transitivity,[status(thm)],[103,101]) ).

tff(105,plain,
    ( ~ ! [B: $i,A: $i] :
          ( ( A = B )
          | greater(A,B)
          | greater(B,A)
          | ~ time(B)
          | ~ time(A) )
    | ( sk7 = sk6 )
    | greater(sk7,sk6)
    | greater(sk6,sk7)
    | ~ time(sk6)
    | ~ time(sk7) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(106,plain,
    ( ~ ! [B: $i,A: $i] :
          ( ( A = B )
          | greater(A,B)
          | greater(B,A)
          | ~ time(B)
          | ~ time(A) )
    | greater(sk6,sk7)
    | greater(sk7,sk6)
    | ( sk7 = sk6 )
    | ~ time(sk6)
    | ~ time(sk7) ),
    inference(modus_ponens,[status(thm)],[105,104]) ).

tff(107,plain,
    sk7 = sk6,
    inference(unit_resolution,[status(thm)],[106,100,90,86,72,35]) ).

tff(108,plain,
    sk6 = sk7,
    inference(symmetry,[status(thm)],[107]) ).

tff(109,plain,
    ( complexity(sk1,sk3,sk6)
  <=> complexity(sk1,sk3,sk7) ),
    inference(monotonicity,[status(thm)],[108]) ).

tff(110,plain,
    ( complexity(sk1,sk3,sk7)
  <=> complexity(sk1,sk3,sk6) ),
    inference(symmetry,[status(thm)],[109]) ).

tff(111,plain,
    complexity(sk1,sk3,sk6),
    inference(modus_ponens,[status(thm)],[52,110]) ).

tff(112,plain,
    ^ [D: $i,A: $i,E: $i,C: $i] :
      refl(( ( ( D = E )
          | ~ complexity(A,E,C)
          | ~ organization(A,C)
          | ~ complexity(A,D,C) )
      <=> ( ( D = E )
          | ~ complexity(A,E,C)
          | ~ organization(A,C)
          | ~ complexity(A,D,C) ) )),
    inference(bind,[status(th)],[]) ).

tff(113,plain,
    ( ! [D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ~ complexity(A,E,C)
        | ~ organization(A,C)
        | ~ complexity(A,D,C) )
  <=> ! [D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ~ complexity(A,E,C)
        | ~ organization(A,C)
        | ~ complexity(A,D,C) ) ),
    inference(quant_intro,[status(thm)],[112]) ).

tff(114,plain,
    ( ! [D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ~ complexity(A,E,C)
        | ~ organization(A,C)
        | ~ complexity(A,D,C) )
  <=> ! [D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ~ complexity(A,E,C)
        | ~ organization(A,C)
        | ~ complexity(A,D,C) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(115,plain,
    ^ [D: $i,A: $i,E: $i,C: $i] :
      rewrite(( ( ~ organization(A,C)
          | ( D = E )
          | ~ complexity(A,E,C)
          | ~ complexity(A,D,C)
          | ~ organization(A,C) )
      <=> ( ( D = E )
          | ~ complexity(A,E,C)
          | ~ organization(A,C)
          | ~ complexity(A,D,C) ) )),
    inference(bind,[status(th)],[]) ).

tff(116,plain,
    ( ! [D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ( D = E )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,C)
        | ~ organization(A,C) )
  <=> ! [D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ~ complexity(A,E,C)
        | ~ organization(A,C)
        | ~ complexity(A,D,C) ) ),
    inference(quant_intro,[status(thm)],[115]) ).

tff(117,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ( D = E )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,C)
        | ~ organization(A,C) )
  <=> ! [D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ( D = E )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,C)
        | ~ organization(A,C) ) ),
    inference(elim_unused_vars,[status(thm)],[]) ).

tff(118,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ( B != C )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ( D = E )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,C)
        | ~ organization(A,C) ) ),
    inference(destructive_equality_resolution,[status(thm)],[]) ).

tff(119,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ( B != C )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B) )
  <=> ! [D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,C)
        | ( D = E )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,C)
        | ~ organization(A,C) ) ),
    inference(transitivity,[status(thm)],[118,117]) ).

tff(120,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ( B != C )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B) )
  <=> ! [D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ~ complexity(A,E,C)
        | ~ organization(A,C)
        | ~ complexity(A,D,C) ) ),
    inference(transitivity,[status(thm)],[119,116]) ).

tff(121,plain,
    ^ [B: $i,D: $i,A: $i,E: $i,C: $i] :
      trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(( ( ~ organization(A,B)
                          | ~ organization(A,C) )
                      <=> ( ~ organization(A,C)
                          | ~ organization(A,B) ) )),
                      ( ( ~ organization(A,B)
                        | ~ organization(A,C)
                        | ~ complexity(A,D,B) )
                    <=> ( ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ complexity(A,D,B) ) )),
                    rewrite(( ( ~ organization(A,C)
                        | ~ organization(A,B)
                        | ~ complexity(A,D,B) )
                    <=> ( ~ complexity(A,D,B)
                        | ~ organization(A,C)
                        | ~ organization(A,B) ) )),
                    ( ( ~ organization(A,B)
                      | ~ organization(A,C)
                      | ~ complexity(A,D,B) )
                  <=> ( ~ complexity(A,D,B)
                      | ~ organization(A,C)
                      | ~ organization(A,B) ) )),
                  ( ( ~ organization(A,B)
                    | ~ organization(A,C)
                    | ~ complexity(A,D,B)
                    | ~ complexity(A,E,C) )
                <=> ( ~ complexity(A,D,B)
                    | ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ complexity(A,E,C) ) )),
                rewrite(( ( ~ complexity(A,D,B)
                    | ~ organization(A,C)
                    | ~ organization(A,B)
                    | ~ complexity(A,E,C) )
                <=> ( ~ complexity(A,E,C)
                    | ~ complexity(A,D,B)
                    | ~ organization(A,C)
                    | ~ organization(A,B) ) )),
                ( ( ~ organization(A,B)
                  | ~ organization(A,C)
                  | ~ complexity(A,D,B)
                  | ~ complexity(A,E,C) )
              <=> ( ~ complexity(A,E,C)
                  | ~ complexity(A,D,B)
                  | ~ organization(A,C)
                  | ~ organization(A,B) ) )),
              ( ( ~ organization(A,B)
                | ~ organization(A,C)
                | ~ complexity(A,D,B)
                | ~ complexity(A,E,C)
                | ( B != C ) )
            <=> ( ~ complexity(A,E,C)
                | ~ complexity(A,D,B)
                | ~ organization(A,C)
                | ~ organization(A,B)
                | ( B != C ) ) )),
            rewrite(( ( ~ complexity(A,E,C)
                | ~ complexity(A,D,B)
                | ~ organization(A,C)
                | ~ organization(A,B)
                | ( B != C ) )
            <=> ( ( B != C )
                | ~ complexity(A,E,C)
                | ~ complexity(A,D,B)
                | ~ organization(A,C)
                | ~ organization(A,B) ) )),
            ( ( ~ organization(A,B)
              | ~ organization(A,C)
              | ~ complexity(A,D,B)
              | ~ complexity(A,E,C)
              | ( B != C ) )
          <=> ( ( B != C )
              | ~ complexity(A,E,C)
              | ~ complexity(A,D,B)
              | ~ organization(A,C)
              | ~ organization(A,B) ) )),
          ( ( ~ organization(A,B)
            | ~ organization(A,C)
            | ~ complexity(A,D,B)
            | ~ complexity(A,E,C)
            | ( B != C )
            | ( D = E ) )
        <=> ( ( B != C )
            | ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ( D = E ) ) )),
        rewrite(( ( ( B != C )
            | ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B)
            | ( D = E ) )
        <=> ( ( D = E )
            | ( B != C )
            | ~ complexity(A,E,C)
            | ~ complexity(A,D,B)
            | ~ organization(A,C)
            | ~ organization(A,B) ) )),
        ( ( ~ organization(A,B)
          | ~ organization(A,C)
          | ~ complexity(A,D,B)
          | ~ complexity(A,E,C)
          | ( B != C )
          | ( D = E ) )
      <=> ( ( D = E )
          | ( B != C )
          | ~ complexity(A,E,C)
          | ~ complexity(A,D,B)
          | ~ organization(A,C)
          | ~ organization(A,B) ) )),
    inference(bind,[status(th)],[]) ).

tff(122,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,B)
        | ~ organization(A,C)
        | ~ complexity(A,D,B)
        | ~ complexity(A,E,C)
        | ( B != C )
        | ( D = E ) )
  <=> ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ( B != C )
        | ~ complexity(A,E,C)
        | ~ complexity(A,D,B)
        | ~ organization(A,C)
        | ~ organization(A,B) ) ),
    inference(quant_intro,[status(thm)],[121]) ).

tff(123,plain,
    ( ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
        ( ~ organization(A,B)
        | ~ organization(A,C)
        | ~ complexity(A,D,B)
        | ~ complexity(A,E,C)
        | ( B != C )
        | ( D = E ) )
  <=> ! [D: $i,A: $i,E: $i,C: $i] :
        ( ( D = E )
        | ~ complexity(A,E,C)
        | ~ organization(A,C)
        | ~ complexity(A,D,C) ) ),
    inference(transitivity,[status(thm)],[122,120]) ).

tff(124,axiom,
    ! [B: $i,D: $i,A: $i,E: $i,C: $i] :
      ( ~ organization(A,B)
      | ~ organization(A,C)
      | ~ complexity(A,D,B)
      | ~ complexity(A,E,C)
      | ( B != C )
      | ( D = E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18_23) ).

tff(125,plain,
    ! [D: $i,A: $i,E: $i,C: $i] :
      ( ( D = E )
      | ~ complexity(A,E,C)
      | ~ organization(A,C)
      | ~ complexity(A,D,C) ),
    inference(modus_ponens,[status(thm)],[124,123]) ).

tff(126,plain,
    ! [D: $i,A: $i,E: $i,C: $i] :
      ( ( D = E )
      | ~ complexity(A,E,C)
      | ~ organization(A,C)
      | ~ complexity(A,D,C) ),
    inference(modus_ponens,[status(thm)],[125,114]) ).

tff(127,plain,
    ! [D: $i,A: $i,E: $i,C: $i] :
      ( ( D = E )
      | ~ complexity(A,E,C)
      | ~ organization(A,C)
      | ~ complexity(A,D,C) ),
    inference(skolemize,[status(sab)],[126]) ).

tff(128,plain,
    ! [D: $i,A: $i,E: $i,C: $i] :
      ( ( D = E )
      | ~ complexity(A,E,C)
      | ~ organization(A,C)
      | ~ complexity(A,D,C) ),
    inference(modus_ponens,[status(thm)],[127,113]) ).

tff(129,plain,
    ( ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
            ( ( D = E )
            | ~ complexity(A,E,C)
            | ~ organization(A,C)
            | ~ complexity(A,D,C) )
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6)
      | ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6) )
  <=> ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
            ( ( D = E )
            | ~ complexity(A,E,C)
            | ~ organization(A,C)
            | ~ complexity(A,D,C) )
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6)
      | ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(130,plain,
    ( ( ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6)
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6) )
  <=> ( ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6)
      | ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(131,plain,
    ( ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
            ( ( D = E )
            | ~ complexity(A,E,C)
            | ~ organization(A,C)
            | ~ complexity(A,D,C) )
      | ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6)
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6) )
  <=> ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
            ( ( D = E )
            | ~ complexity(A,E,C)
            | ~ organization(A,C)
            | ~ complexity(A,D,C) )
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6)
      | ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6) ) ),
    inference(monotonicity,[status(thm)],[130]) ).

tff(132,plain,
    ( ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
            ( ( D = E )
            | ~ complexity(A,E,C)
            | ~ organization(A,C)
            | ~ complexity(A,D,C) )
      | ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6)
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6) )
  <=> ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
            ( ( D = E )
            | ~ complexity(A,E,C)
            | ~ organization(A,C)
            | ~ complexity(A,D,C) )
      | ~ organization(sk1,sk6)
      | ~ complexity(sk1,sk2,sk6)
      | ( sk2 = sk3 )
      | ~ complexity(sk1,sk3,sk6) ) ),
    inference(transitivity,[status(thm)],[131,129]) ).

tff(133,plain,
    ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
          ( ( D = E )
          | ~ complexity(A,E,C)
          | ~ organization(A,C)
          | ~ complexity(A,D,C) )
    | ( sk2 = sk3 )
    | ~ complexity(sk1,sk3,sk6)
    | ~ organization(sk1,sk6)
    | ~ complexity(sk1,sk2,sk6) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(134,plain,
    ( ~ ! [D: $i,A: $i,E: $i,C: $i] :
          ( ( D = E )
          | ~ complexity(A,E,C)
          | ~ organization(A,C)
          | ~ complexity(A,D,C) )
    | ~ organization(sk1,sk6)
    | ~ complexity(sk1,sk2,sk6)
    | ( sk2 = sk3 )
    | ~ complexity(sk1,sk3,sk6) ),
    inference(modus_ponens,[status(thm)],[133,132]) ).

tff(135,plain,
    ( ( sk2 = sk3 )
    | ~ complexity(sk1,sk3,sk6) ),
    inference(unit_resolution,[status(thm)],[134,128,18,55]) ).

tff(136,plain,
    sk2 = sk3,
    inference(unit_resolution,[status(thm)],[135,111]) ).

tff(137,plain,
    ( greater(sk2,sk3)
  <=> greater(sk3,sk3) ),
    inference(monotonicity,[status(thm)],[136]) ).

tff(138,plain,
    ( greater(sk3,sk3)
  <=> greater(sk2,sk3) ),
    inference(symmetry,[status(thm)],[137]) ).

tff(139,plain,
    ( greater(sk3,sk2)
  <=> greater(sk3,sk3) ),
    inference(monotonicity,[status(thm)],[136]) ).

tff(140,plain,
    greater(sk3,sk3),
    inference(modus_ponens,[status(thm)],[49,139]) ).

tff(141,plain,
    greater(sk2,sk3),
    inference(modus_ponens,[status(thm)],[140,138]) ).

tff(142,plain,
    ^ [B: $i,A: $i] :
      refl(( ( ~ greater(A,B)
          | ~ greater(B,A) )
      <=> ( ~ greater(A,B)
          | ~ greater(B,A) ) )),
    inference(bind,[status(th)],[]) ).

tff(143,plain,
    ( ! [B: $i,A: $i] :
        ( ~ greater(A,B)
        | ~ greater(B,A) )
  <=> ! [B: $i,A: $i] :
        ( ~ greater(A,B)
        | ~ greater(B,A) ) ),
    inference(quant_intro,[status(thm)],[142]) ).

tff(144,plain,
    ( ! [B: $i,A: $i] :
        ( ~ greater(A,B)
        | ~ greater(B,A) )
  <=> ! [B: $i,A: $i] :
        ( ~ greater(A,B)
        | ~ greater(B,A) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(145,axiom,
    ! [B: $i,A: $i] :
      ( ~ greater(A,B)
      | ~ greater(B,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_2_19) ).

tff(146,plain,
    ! [B: $i,A: $i] :
      ( ~ greater(A,B)
      | ~ greater(B,A) ),
    inference(modus_ponens,[status(thm)],[145,144]) ).

tff(147,plain,
    ! [B: $i,A: $i] :
      ( ~ greater(A,B)
      | ~ greater(B,A) ),
    inference(skolemize,[status(sab)],[146]) ).

tff(148,plain,
    ! [B: $i,A: $i] :
      ( ~ greater(A,B)
      | ~ greater(B,A) ),
    inference(modus_ponens,[status(thm)],[147,143]) ).

tff(149,plain,
    ( ( ~ ! [B: $i,A: $i] :
            ( ~ greater(A,B)
            | ~ greater(B,A) )
      | ~ greater(sk2,sk3)
      | ~ greater(sk3,sk2) )
  <=> ( ~ ! [B: $i,A: $i] :
            ( ~ greater(A,B)
            | ~ greater(B,A) )
      | ~ greater(sk2,sk3)
      | ~ greater(sk3,sk2) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(150,plain,
    ( ~ ! [B: $i,A: $i] :
          ( ~ greater(A,B)
          | ~ greater(B,A) )
    | ~ greater(sk2,sk3)
    | ~ greater(sk3,sk2) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(151,plain,
    ( ~ ! [B: $i,A: $i] :
          ( ~ greater(A,B)
          | ~ greater(B,A) )
    | ~ greater(sk2,sk3)
    | ~ greater(sk3,sk2) ),
    inference(modus_ponens,[status(thm)],[150,149]) ).

tff(152,plain,
    ~ greater(sk2,sk3),
    inference(unit_resolution,[status(thm)],[151,148,49]) ).

tff(153,plain,
    $false,
    inference(unit_resolution,[status(thm)],[152,141]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : MGT013-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03  % Command    : run_E %s %d THM
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit   : 300
% 0.08/0.35  % WCLimit    : 300
% 0.08/0.35  % DateTime   : Mon Sep  7 11:52:17 UTC 2026
% 0.08/0.36  % CPUTime    : 
% 0.13/0.41  % SZS status Unsatisfiable
% 0.13/0.41  % SZS output start Proof
% See solution above
% 0.13/0.44  % E exiting
%------------------------------------------------------------------------------