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Z3---4.15.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CSR056+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n002.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 : Sat Jun 21 05:01:36 AM UTC 2025

% Result   : Theorem 85.78s 85.94s
% Output   : Proof 85.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  114 (  24 unt;   0 typ;   0 def)
%            Number of atoms       :  637 (   0 equ)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  871 ( 398   ~; 341   |;  48   &)
%                                         (  68 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of FOOLs       :   50 (  50 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :  197 ( 169   !;   9   ?; 197   :)

% Comments : 
%------------------------------------------------------------------------------
tff(tptpofobject_type,type,
    tptpofobject: ( $i * $i ) > $o ).

tff(f_tptpquantityfn_14_type,type,
    f_tptpquantityfn_14: $i > $i ).

tff(n_232_type,type,
    n_232: $i ).

tff(c_tptpartsupplies_type,type,
    c_tptpartsupplies: $i ).

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

tff(c_tptp_member3717_mt_type,type,
    c_tptp_member3717_mt: $i ).

tff(supplies_type,type,
    supplies: $i > $o ).

tff(artsupplies_type,type,
    artsupplies: $i > $o ).

tff(c_cyclistsmt_type,type,
    c_cyclistsmt: $i ).

tff(c_relationexistsallfn_type,type,
    c_relationexistsallfn: $i ).

tff(genlmt_type,type,
    genlmt: ( $i * $i ) > $o ).

tff(c_tptp_spindleheadmt_type,type,
    c_tptp_spindleheadmt: $i ).

tff(1,plain,
    ^ [OBJ: $i] :
      refl(( ( supplies(OBJ)
          | ~ artsupplies(OBJ) )
      <=> ( supplies(OBJ)
          | ~ artsupplies(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(2,plain,
    ( ! [OBJ: $i] :
        ( supplies(OBJ)
        | ~ artsupplies(OBJ) )
  <=> ! [OBJ: $i] :
        ( supplies(OBJ)
        | ~ artsupplies(OBJ) ) ),
    inference(quant_intro,[status(thm)],[1]) ).

tff(3,plain,
    ( ! [OBJ: $i] :
        ( supplies(OBJ)
        | ~ artsupplies(OBJ) )
  <=> ! [OBJ: $i] :
        ( supplies(OBJ)
        | ~ artsupplies(OBJ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(4,plain,
    ^ [OBJ: $i] :
      rewrite(( ( artsupplies(OBJ)
         => supplies(OBJ) )
      <=> ( supplies(OBJ)
          | ~ artsupplies(OBJ) ) )),
    inference(bind,[status(th)],[]) ).

tff(5,plain,
    ( ! [OBJ: $i] :
        ( artsupplies(OBJ)
       => supplies(OBJ) )
  <=> ! [OBJ: $i] :
        ( supplies(OBJ)
        | ~ artsupplies(OBJ) ) ),
    inference(quant_intro,[status(thm)],[4]) ).

tff(6,axiom,
    ! [OBJ: $i] :
      ( artsupplies(OBJ)
     => supplies(OBJ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_238) ).

tff(7,plain,
    ! [OBJ: $i] :
      ( supplies(OBJ)
      | ~ artsupplies(OBJ) ),
    inference(modus_ponens,[status(thm)],[6,5]) ).

tff(8,plain,
    ! [OBJ: $i] :
      ( supplies(OBJ)
      | ~ artsupplies(OBJ) ),
    inference(modus_ponens,[status(thm)],[7,3]) ).

tff(9,plain,
    ! [OBJ: $i] :
      ( supplies(OBJ)
      | ~ artsupplies(OBJ) ),
    inference(skolemize,[status(sab)],[8]) ).

tff(10,plain,
    ! [OBJ: $i] :
      ( supplies(OBJ)
      | ~ artsupplies(OBJ) ),
    inference(modus_ponens,[status(thm)],[9,2]) ).

tff(11,plain,
    ^ [QUANTITY: $i] :
      refl(( ~ ( ~ mtvisible(c_tptp_member3717_mt)
            | tptpofobject(c_tptpartsupplies,QUANTITY) )
      <=> ~ ( ~ mtvisible(c_tptp_member3717_mt)
            | tptpofobject(c_tptpartsupplies,QUANTITY) ) )),
    inference(bind,[status(th)],[]) ).

tff(12,plain,
    ( ! [QUANTITY: $i] :
        ~ ( ~ mtvisible(c_tptp_member3717_mt)
          | tptpofobject(c_tptpartsupplies,QUANTITY) )
  <=> ! [QUANTITY: $i] :
        ~ ( ~ mtvisible(c_tptp_member3717_mt)
          | tptpofobject(c_tptpartsupplies,QUANTITY) ) ),
    inference(quant_intro,[status(thm)],[11]) ).

tff(13,plain,
    ( ~ ? [QUANTITY: $i] :
          ( ~ mtvisible(c_tptp_member3717_mt)
          | tptpofobject(c_tptpartsupplies,QUANTITY) )
  <=> ~ ? [QUANTITY: $i] :
          ( ~ mtvisible(c_tptp_member3717_mt)
          | tptpofobject(c_tptpartsupplies,QUANTITY) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(14,plain,
    ( ~ ? [QUANTITY: $i] :
          ( mtvisible(c_tptp_member3717_mt)
         => tptpofobject(c_tptpartsupplies,QUANTITY) )
  <=> ~ ? [QUANTITY: $i] :
          ( ~ mtvisible(c_tptp_member3717_mt)
          | tptpofobject(c_tptpartsupplies,QUANTITY) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(15,axiom,
    ~ ? [QUANTITY: $i] :
        ( mtvisible(c_tptp_member3717_mt)
       => tptpofobject(c_tptpartsupplies,QUANTITY) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query106) ).

tff(16,plain,
    ~ ? [QUANTITY: $i] :
        ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(modus_ponens,[status(thm)],[15,14]) ).

tff(17,plain,
    ~ ? [QUANTITY: $i] :
        ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(modus_ponens,[status(thm)],[16,13]) ).

tff(18,plain,
    ~ ? [QUANTITY: $i] :
        ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(modus_ponens,[status(thm)],[17,13]) ).

tff(19,plain,
    ~ ? [QUANTITY: $i] :
        ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(modus_ponens,[status(thm)],[18,13]) ).

tff(20,plain,
    ^ [QUANTITY: $i] :
      refl($oeq(~ ( ~ mtvisible(c_tptp_member3717_mt)
            | tptpofobject(c_tptpartsupplies,QUANTITY) ),
          ~ ( ~ mtvisible(c_tptp_member3717_mt)
            | tptpofobject(c_tptpartsupplies,QUANTITY) ))),
    inference(bind,[status(th)],[]) ).

tff(21,plain,
    ! [QUANTITY: $i] :
      ~ ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(nnf-neg,[status(sab)],[19,20]) ).

tff(22,plain,
    ! [QUANTITY: $i] :
      ~ ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,QUANTITY) ),
    inference(modus_ponens,[status(thm)],[21,12]) ).

tff(23,plain,
    ( ~ ! [QUANTITY: $i] :
          ~ ( ~ mtvisible(c_tptp_member3717_mt)
            | tptpofobject(c_tptpartsupplies,QUANTITY) )
    | ~ ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,c_relationexistsallfn) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(24,plain,
    ~ ( ~ mtvisible(c_tptp_member3717_mt)
      | tptpofobject(c_tptpartsupplies,c_relationexistsallfn) ),
    inference(unit_resolution,[status(thm)],[23,22]) ).

tff(25,plain,
    ( ~ mtvisible(c_tptp_member3717_mt)
    | tptpofobject(c_tptpartsupplies,c_relationexistsallfn)
    | mtvisible(c_tptp_member3717_mt) ),
    inference(tautology,[status(thm)],[]) ).

tff(26,plain,
    mtvisible(c_tptp_member3717_mt),
    inference(unit_resolution,[status(thm)],[25,24]) ).

tff(27,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( genlmt(X,Z)
        | ~ genlmt(Y,Z)
        | ~ genlmt(X,Y) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( genlmt(X,Z)
        | ~ genlmt(Y,Z)
        | ~ genlmt(X,Y) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(28,plain,
    ^ [X: $i,Y: $i,Z: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( genlmt(X,Y)
                  & genlmt(Y,Z) )
              <=> ~ ( ~ genlmt(Y,Z)
                    | ~ genlmt(X,Y) ) )),
              ( ~ ( genlmt(X,Y)
                  & genlmt(Y,Z) )
            <=> ~ ~ ( ~ genlmt(Y,Z)
                    | ~ genlmt(X,Y) ) )),
            rewrite(( ~ ~ ( ~ genlmt(Y,Z)
                    | ~ genlmt(X,Y) )
            <=> ( ~ genlmt(Y,Z)
                | ~ genlmt(X,Y) ) )),
            ( ~ ( genlmt(X,Y)
                & genlmt(Y,Z) )
          <=> ( ~ genlmt(Y,Z)
              | ~ genlmt(X,Y) ) )),
          ( ( ~ ( genlmt(X,Y)
                & genlmt(Y,Z) )
            | genlmt(X,Z) )
        <=> ( ~ genlmt(Y,Z)
            | ~ genlmt(X,Y)
            | genlmt(X,Z) ) )),
        rewrite(( ( ~ genlmt(Y,Z)
            | ~ genlmt(X,Y)
            | genlmt(X,Z) )
        <=> ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) ) )),
        ( ( ~ ( genlmt(X,Y)
              & genlmt(Y,Z) )
          | genlmt(X,Z) )
      <=> ( genlmt(X,Z)
          | ~ genlmt(Y,Z)
          | ~ genlmt(X,Y) ) )),
    inference(bind,[status(th)],[]) ).

tff(29,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( genlmt(X,Z)
        | ~ genlmt(Y,Z)
        | ~ genlmt(X,Y) ) ),
    inference(quant_intro,[status(thm)],[28]) ).

tff(30,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(31,plain,
    ^ [X: $i,Y: $i,Z: $i] :
      rewrite(( ( ( genlmt(X,Y)
            & genlmt(Y,Z) )
         => genlmt(X,Z) )
      <=> ( ~ ( genlmt(X,Y)
              & genlmt(Y,Z) )
          | genlmt(X,Z) ) )),
    inference(bind,[status(th)],[]) ).

tff(32,plain,
    ( ! [X: $i,Y: $i,Z: $i] :
        ( ( genlmt(X,Y)
          & genlmt(Y,Z) )
       => genlmt(X,Z) )
  <=> ! [X: $i,Y: $i,Z: $i] :
        ( ~ ( genlmt(X,Y)
            & genlmt(Y,Z) )
        | genlmt(X,Z) ) ),
    inference(quant_intro,[status(thm)],[31]) ).

tff(33,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( genlmt(X,Y)
        & genlmt(Y,Z) )
     => genlmt(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1128) ).

tff(34,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( genlmt(X,Y)
          & genlmt(Y,Z) )
      | genlmt(X,Z) ),
    inference(modus_ponens,[status(thm)],[33,32]) ).

tff(35,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( genlmt(X,Y)
          & genlmt(Y,Z) )
      | genlmt(X,Z) ),
    inference(modus_ponens,[status(thm)],[34,30]) ).

tff(36,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( genlmt(X,Y)
          & genlmt(Y,Z) )
      | genlmt(X,Z) ),
    inference(skolemize,[status(sab)],[35]) ).

tff(37,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(modus_ponens,[status(thm)],[36,29]) ).

tff(38,plain,
    ! [X: $i,Y: $i,Z: $i] :
      ( genlmt(X,Z)
      | ~ genlmt(Y,Z)
      | ~ genlmt(X,Y) ),
    inference(modus_ponens,[status(thm)],[37,27]) ).

tff(39,plain,
    ( genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt)
  <=> genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(40,axiom,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_279) ).

tff(41,plain,
    genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt),
    inference(modus_ponens,[status(thm)],[40,39]) ).

tff(42,plain,
    ( genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
  <=> genlmt(c_tptp_spindleheadmt,c_cyclistsmt) ),
    inference(rewrite,[status(thm)],[]) ).

tff(43,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).

tff(44,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(modus_ponens,[status(thm)],[43,42]) ).

tff(45,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(46,plain,
    ( ( genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) )
  <=> ( ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(47,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(monotonicity,[status(thm)],[46]) ).

tff(48,plain,
    ( ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) )
  <=> ( ~ ! [X: $i,Y: $i,Z: $i] :
            ( genlmt(X,Z)
            | ~ genlmt(Y,Z)
            | ~ genlmt(X,Y) )
      | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
      | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(transitivity,[status(thm)],[47,45]) ).

tff(49,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( genlmt(X,Z)
          | ~ genlmt(Y,Z)
          | ~ genlmt(X,Y) )
    | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
    | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(50,plain,
    ( ~ ! [X: $i,Y: $i,Z: $i] :
          ( genlmt(X,Z)
          | ~ genlmt(Y,Z)
          | ~ genlmt(X,Y) )
    | ~ genlmt(c_tptp_spindleheadmt,c_cyclistsmt)
    | genlmt(c_tptp_member3717_mt,c_cyclistsmt)
    | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ),
    inference(modus_ponens,[status(thm)],[49,48]) ).

tff(51,plain,
    genlmt(c_tptp_member3717_mt,c_cyclistsmt),
    inference(unit_resolution,[status(thm)],[50,44,41,38]) ).

tff(52,plain,
    ^ [SPECMT: $i,GENLMT: $i] :
      refl(( ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
      <=> ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) )),
    inference(bind,[status(th)],[]) ).

tff(53,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ genlmt(SPECMT,GENLMT)
        | ~ mtvisible(SPECMT) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ genlmt(SPECMT,GENLMT)
        | ~ mtvisible(SPECMT) ) ),
    inference(quant_intro,[status(thm)],[52]) ).

tff(54,plain,
    ^ [SPECMT: $i,GENLMT: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(SPECMT)
                  & genlmt(SPECMT,GENLMT) )
              <=> ~ ( ~ mtvisible(SPECMT)
                    | ~ genlmt(SPECMT,GENLMT) ) )),
              ( ~ ( mtvisible(SPECMT)
                  & genlmt(SPECMT,GENLMT) )
            <=> ~ ~ ( ~ mtvisible(SPECMT)
                    | ~ genlmt(SPECMT,GENLMT) ) )),
            rewrite(( ~ ~ ( ~ mtvisible(SPECMT)
                    | ~ genlmt(SPECMT,GENLMT) )
            <=> ( ~ mtvisible(SPECMT)
                | ~ genlmt(SPECMT,GENLMT) ) )),
            ( ~ ( mtvisible(SPECMT)
                & genlmt(SPECMT,GENLMT) )
          <=> ( ~ mtvisible(SPECMT)
              | ~ genlmt(SPECMT,GENLMT) ) )),
          ( ( mtvisible(GENLMT)
            | ~ ( mtvisible(SPECMT)
                & genlmt(SPECMT,GENLMT) ) )
        <=> ( mtvisible(GENLMT)
            | ~ mtvisible(SPECMT)
            | ~ genlmt(SPECMT,GENLMT) ) )),
        rewrite(( ( mtvisible(GENLMT)
            | ~ mtvisible(SPECMT)
            | ~ genlmt(SPECMT,GENLMT) )
        <=> ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) ) )),
        ( ( mtvisible(GENLMT)
          | ~ ( mtvisible(SPECMT)
              & genlmt(SPECMT,GENLMT) ) )
      <=> ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) )),
    inference(bind,[status(th)],[]) ).

tff(55,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ genlmt(SPECMT,GENLMT)
        | ~ mtvisible(SPECMT) ) ),
    inference(quant_intro,[status(thm)],[54]) ).

tff(56,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(57,plain,
    ^ [SPECMT: $i,GENLMT: $i] :
      rewrite(( ( ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) )
         => mtvisible(GENLMT) )
      <=> ( mtvisible(GENLMT)
          | ~ ( mtvisible(SPECMT)
              & genlmt(SPECMT,GENLMT) ) ) )),
    inference(bind,[status(th)],[]) ).

tff(58,plain,
    ( ! [SPECMT: $i,GENLMT: $i] :
        ( ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) )
       => mtvisible(GENLMT) )
  <=> ! [SPECMT: $i,GENLMT: $i] :
        ( mtvisible(GENLMT)
        | ~ ( mtvisible(SPECMT)
            & genlmt(SPECMT,GENLMT) ) ) ),
    inference(quant_intro,[status(thm)],[57]) ).

tff(59,axiom,
    ! [SPECMT: $i,GENLMT: $i] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

tff(60,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(modus_ponens,[status(thm)],[59,58]) ).

tff(61,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(modus_ponens,[status(thm)],[60,56]) ).

tff(62,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ ( mtvisible(SPECMT)
          & genlmt(SPECMT,GENLMT) ) ),
    inference(skolemize,[status(sab)],[61]) ).

tff(63,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(modus_ponens,[status(thm)],[62,55]) ).

tff(64,plain,
    ! [SPECMT: $i,GENLMT: $i] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(modus_ponens,[status(thm)],[63,53]) ).

tff(65,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(66,plain,
    ( ( mtvisible(c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt) )
  <=> ( mtvisible(c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(67,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt) ) ),
    inference(monotonicity,[status(thm)],[66]) ).

tff(68,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_cyclistsmt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_cyclistsmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt) ) ),
    inference(transitivity,[status(thm)],[67,65]) ).

tff(69,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_cyclistsmt)
    | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(70,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_member3717_mt)
    | ~ genlmt(c_tptp_member3717_mt,c_cyclistsmt) ),
    inference(modus_ponens,[status(thm)],[69,68]) ).

tff(71,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(unit_resolution,[status(thm)],[70,64,51]) ).

tff(72,plain,
    mtvisible(c_cyclistsmt),
    inference(unit_resolution,[status(thm)],[71,26]) ).

tff(73,plain,
    ( ( artsupplies(c_tptpartsupplies)
      | ~ mtvisible(c_cyclistsmt) )
  <=> ( artsupplies(c_tptpartsupplies)
      | ~ mtvisible(c_cyclistsmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(74,plain,
    ( ( mtvisible(c_cyclistsmt)
     => artsupplies(c_tptpartsupplies) )
  <=> ( artsupplies(c_tptpartsupplies)
      | ~ mtvisible(c_cyclistsmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(75,axiom,
    ( mtvisible(c_cyclistsmt)
   => artsupplies(c_tptpartsupplies) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_40) ).

tff(76,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(modus_ponens,[status(thm)],[75,74]) ).

tff(77,plain,
    ( artsupplies(c_tptpartsupplies)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(modus_ponens,[status(thm)],[76,73]) ).

tff(78,plain,
    artsupplies(c_tptpartsupplies),
    inference(unit_resolution,[status(thm)],[77,72]) ).

tff(79,plain,
    ( ( ~ ! [OBJ: $i] :
            ( supplies(OBJ)
            | ~ artsupplies(OBJ) )
      | supplies(c_tptpartsupplies)
      | ~ artsupplies(c_tptpartsupplies) )
  <=> ( ~ ! [OBJ: $i] :
            ( supplies(OBJ)
            | ~ artsupplies(OBJ) )
      | supplies(c_tptpartsupplies)
      | ~ artsupplies(c_tptpartsupplies) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(80,plain,
    ( ~ ! [OBJ: $i] :
          ( supplies(OBJ)
          | ~ artsupplies(OBJ) )
    | supplies(c_tptpartsupplies)
    | ~ artsupplies(c_tptpartsupplies) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(81,plain,
    ( ~ ! [OBJ: $i] :
          ( supplies(OBJ)
          | ~ artsupplies(OBJ) )
    | supplies(c_tptpartsupplies)
    | ~ artsupplies(c_tptpartsupplies) ),
    inference(modus_ponens,[status(thm)],[80,79]) ).

tff(82,plain,
    supplies(c_tptpartsupplies),
    inference(unit_resolution,[status(thm)],[81,78,10]) ).

tff(83,plain,
    ^ [INS: $i] :
      refl(( ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
          | ~ mtvisible(c_tptp_spindleheadmt)
          | ~ supplies(INS) )
      <=> ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
          | ~ mtvisible(c_tptp_spindleheadmt)
          | ~ supplies(INS) ) )),
    inference(bind,[status(th)],[]) ).

tff(84,plain,
    ( ! [INS: $i] :
        ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
        | ~ mtvisible(c_tptp_spindleheadmt)
        | ~ supplies(INS) )
  <=> ! [INS: $i] :
        ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
        | ~ mtvisible(c_tptp_spindleheadmt)
        | ~ supplies(INS) ) ),
    inference(quant_intro,[status(thm)],[83]) ).

tff(85,plain,
    ^ [INS: $i] :
      trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(c_tptp_spindleheadmt)
                  & supplies(INS) )
              <=> ~ ( ~ mtvisible(c_tptp_spindleheadmt)
                    | ~ supplies(INS) ) )),
              ( ~ ( mtvisible(c_tptp_spindleheadmt)
                  & supplies(INS) )
            <=> ~ ~ ( ~ mtvisible(c_tptp_spindleheadmt)
                    | ~ supplies(INS) ) )),
            rewrite(( ~ ~ ( ~ mtvisible(c_tptp_spindleheadmt)
                    | ~ supplies(INS) )
            <=> ( ~ mtvisible(c_tptp_spindleheadmt)
                | ~ supplies(INS) ) )),
            ( ~ ( mtvisible(c_tptp_spindleheadmt)
                & supplies(INS) )
          <=> ( ~ mtvisible(c_tptp_spindleheadmt)
              | ~ supplies(INS) ) )),
          ( ( ~ ( mtvisible(c_tptp_spindleheadmt)
                & supplies(INS) )
            | tptpofobject(INS,f_tptpquantityfn_14(n_232)) )
        <=> ( ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS)
            | tptpofobject(INS,f_tptpquantityfn_14(n_232)) ) )),
        rewrite(( ( ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS)
            | tptpofobject(INS,f_tptpquantityfn_14(n_232)) )
        <=> ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
            | ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS) ) )),
        ( ( ~ ( mtvisible(c_tptp_spindleheadmt)
              & supplies(INS) )
          | tptpofobject(INS,f_tptpquantityfn_14(n_232)) )
      <=> ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
          | ~ mtvisible(c_tptp_spindleheadmt)
          | ~ supplies(INS) ) )),
    inference(bind,[status(th)],[]) ).

tff(86,plain,
    ( ! [INS: $i] :
        ( ~ ( mtvisible(c_tptp_spindleheadmt)
            & supplies(INS) )
        | tptpofobject(INS,f_tptpquantityfn_14(n_232)) )
  <=> ! [INS: $i] :
        ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
        | ~ mtvisible(c_tptp_spindleheadmt)
        | ~ supplies(INS) ) ),
    inference(quant_intro,[status(thm)],[85]) ).

tff(87,plain,
    ( ! [INS: $i] :
        ( ~ ( mtvisible(c_tptp_spindleheadmt)
            & supplies(INS) )
        | tptpofobject(INS,f_tptpquantityfn_14(n_232)) )
  <=> ! [INS: $i] :
        ( ~ ( mtvisible(c_tptp_spindleheadmt)
            & supplies(INS) )
        | tptpofobject(INS,f_tptpquantityfn_14(n_232)) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(88,plain,
    ^ [INS: $i] :
      rewrite(( ( ( mtvisible(c_tptp_spindleheadmt)
            & supplies(INS) )
         => tptpofobject(INS,f_tptpquantityfn_14(n_232)) )
      <=> ( ~ ( mtvisible(c_tptp_spindleheadmt)
              & supplies(INS) )
          | tptpofobject(INS,f_tptpquantityfn_14(n_232)) ) )),
    inference(bind,[status(th)],[]) ).

tff(89,plain,
    ( ! [INS: $i] :
        ( ( mtvisible(c_tptp_spindleheadmt)
          & supplies(INS) )
       => tptpofobject(INS,f_tptpquantityfn_14(n_232)) )
  <=> ! [INS: $i] :
        ( ~ ( mtvisible(c_tptp_spindleheadmt)
            & supplies(INS) )
        | tptpofobject(INS,f_tptpquantityfn_14(n_232)) ) ),
    inference(quant_intro,[status(thm)],[88]) ).

tff(90,axiom,
    ! [INS: $i] :
      ( ( mtvisible(c_tptp_spindleheadmt)
        & supplies(INS) )
     => tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_202) ).

tff(91,plain,
    ! [INS: $i] :
      ( ~ ( mtvisible(c_tptp_spindleheadmt)
          & supplies(INS) )
      | tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
    inference(modus_ponens,[status(thm)],[90,89]) ).

tff(92,plain,
    ! [INS: $i] :
      ( ~ ( mtvisible(c_tptp_spindleheadmt)
          & supplies(INS) )
      | tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
    inference(modus_ponens,[status(thm)],[91,87]) ).

tff(93,plain,
    ! [INS: $i] :
      ( ~ ( mtvisible(c_tptp_spindleheadmt)
          & supplies(INS) )
      | tptpofobject(INS,f_tptpquantityfn_14(n_232)) ),
    inference(skolemize,[status(sab)],[92]) ).

tff(94,plain,
    ! [INS: $i] :
      ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(INS) ),
    inference(modus_ponens,[status(thm)],[93,86]) ).

tff(95,plain,
    ! [INS: $i] :
      ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(INS) ),
    inference(modus_ponens,[status(thm)],[94,84]) ).

tff(96,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(97,plain,
    ( ( mtvisible(c_tptp_spindleheadmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt) )
  <=> ( mtvisible(c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(98,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_tptp_spindleheadmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(monotonicity,[status(thm)],[97]) ).

tff(99,plain,
    ( ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_tptp_spindleheadmt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt) )
  <=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
            ( mtvisible(GENLMT)
            | ~ genlmt(SPECMT,GENLMT)
            | ~ mtvisible(SPECMT) )
      | mtvisible(c_tptp_spindleheadmt)
      | ~ mtvisible(c_tptp_member3717_mt)
      | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ) ),
    inference(transitivity,[status(thm)],[98,96]) ).

tff(100,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_tptp_spindleheadmt)
    | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(101,plain,
    ( ~ ! [SPECMT: $i,GENLMT: $i] :
          ( mtvisible(GENLMT)
          | ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) )
    | mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3717_mt)
    | ~ genlmt(c_tptp_member3717_mt,c_tptp_spindleheadmt) ),
    inference(modus_ponens,[status(thm)],[100,99]) ).

tff(102,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3717_mt) ),
    inference(unit_resolution,[status(thm)],[101,41,64]) ).

tff(103,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(unit_resolution,[status(thm)],[102,26]) ).

tff(104,plain,
    ( ( ~ ! [INS: $i] :
            ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
            | ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS) )
      | ~ mtvisible(c_tptp_spindleheadmt)
      | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ supplies(c_tptpartsupplies) )
  <=> ( ~ ! [INS: $i] :
            ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
            | ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS) )
      | ~ mtvisible(c_tptp_spindleheadmt)
      | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ supplies(c_tptpartsupplies) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(105,plain,
    ( ( tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(c_tptpartsupplies) )
  <=> ( ~ mtvisible(c_tptp_spindleheadmt)
      | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ supplies(c_tptpartsupplies) ) ),
    inference(rewrite,[status(thm)],[]) ).

tff(106,plain,
    ( ( ~ ! [INS: $i] :
            ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
            | ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS) )
      | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(c_tptpartsupplies) )
  <=> ( ~ ! [INS: $i] :
            ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
            | ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS) )
      | ~ mtvisible(c_tptp_spindleheadmt)
      | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ supplies(c_tptpartsupplies) ) ),
    inference(monotonicity,[status(thm)],[105]) ).

tff(107,plain,
    ( ( ~ ! [INS: $i] :
            ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
            | ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS) )
      | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ mtvisible(c_tptp_spindleheadmt)
      | ~ supplies(c_tptpartsupplies) )
  <=> ( ~ ! [INS: $i] :
            ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
            | ~ mtvisible(c_tptp_spindleheadmt)
            | ~ supplies(INS) )
      | ~ mtvisible(c_tptp_spindleheadmt)
      | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
      | ~ supplies(c_tptpartsupplies) ) ),
    inference(transitivity,[status(thm)],[106,104]) ).

tff(108,plain,
    ( ~ ! [INS: $i] :
          ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
          | ~ mtvisible(c_tptp_spindleheadmt)
          | ~ supplies(INS) )
    | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
    | ~ mtvisible(c_tptp_spindleheadmt)
    | ~ supplies(c_tptpartsupplies) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(109,plain,
    ( ~ ! [INS: $i] :
          ( tptpofobject(INS,f_tptpquantityfn_14(n_232))
          | ~ mtvisible(c_tptp_spindleheadmt)
          | ~ supplies(INS) )
    | ~ mtvisible(c_tptp_spindleheadmt)
    | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
    | ~ supplies(c_tptpartsupplies) ),
    inference(modus_ponens,[status(thm)],[108,107]) ).

tff(110,plain,
    tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232)),
    inference(unit_resolution,[status(thm)],[109,103,95,82]) ).

tff(111,plain,
    ( ~ mtvisible(c_tptp_member3717_mt)
    | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232))
    | ~ tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232)) ),
    inference(tautology,[status(thm)],[]) ).

tff(112,plain,
    ( ~ mtvisible(c_tptp_member3717_mt)
    | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232)) ),
    inference(unit_resolution,[status(thm)],[111,110]) ).

tff(113,plain,
    ( ~ ! [QUANTITY: $i] :
          ~ ( ~ mtvisible(c_tptp_member3717_mt)
            | tptpofobject(c_tptpartsupplies,QUANTITY) )
    | ~ ( ~ mtvisible(c_tptp_member3717_mt)
        | tptpofobject(c_tptpartsupplies,f_tptpquantityfn_14(n_232)) ) ),
    inference(quant_inst,[status(thm)],[]) ).

tff(114,plain,
    $false,
    inference(unit_resolution,[status(thm)],[113,22,112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR056+2 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Jun 19 12:45:16 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 85.78/85.94  % SZS status Theorem
% 85.78/85.94  % SZS output start Proof
% See solution above
% 85.83/86.00  % E exiting
%------------------------------------------------------------------------------