%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : AGT028^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n018.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  : 600s
% DateTime : Thu Jul 14 12:01:27 EDT 2022

% Result   : Theorem 0.59s 0.82s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :  218
% Syntax   : Number of formulae    : 1433 ( 325 unt; 120 typ;  31 def)
%            Number of atoms       : 9929 (2816 equ;   0 cnn)
%            Maximal formula atoms :   11 (   7 avg)
%            Number of connectives : 16790 (2538   ~;3385   |;   8   &;10851   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 1369 (1369   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  122 ( 119 usr;   7 con; 0-4 aty)
%            Number of variables   : 4667 ( 177   ^4484   !;   6   ?;4667   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_mu,type,
    mu: $tType ).

thf(tp_good_in_maths,type,
    good_in_maths: mu > $i > $o ).

thf(tp_good_in_physics,type,
    good_in_physics: mu > $i > $o ).

thf(tp_john,type,
    john: mu ).

thf(tp_mand,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_mathematician,type,
    mathematician: mu > $i > $o ).

thf(tp_maths_student,type,
    maths_student: mu > $i > $o ).

thf(tp_maths_teacher,type,
    maths_teacher: mu > $i > $o ).

thf(tp_mbox,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_mcountersatisfiable,type,
    mcountersatisfiable: ( $i > $o ) > $o ).

thf(tp_mdia,type,
    mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_meq_ind,type,
    meq_ind: mu > mu > $i > $o ).

thf(tp_meq_prop,type,
    meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_mequiv,type,
    mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_meuclidean,type,
    meuclidean: ( $i > $i > $o ) > $o ).

thf(tp_mexists_ind,type,
    mexists_ind: ( mu > $i > $o ) > $i > $o ).

thf(tp_mexists_prop,type,
    mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(tp_mfalse,type,
    mfalse: $i > $o ).

thf(tp_mforall_ind,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

thf(tp_mforall_prop,type,
    mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(tp_mfunctional,type,
    mfunctional: ( $i > $i > $o ) > $o ).

thf(tp_mike,type,
    mike: mu ).

thf(tp_mimplied,type,
    mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_mimplies,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_minvalid,type,
    minvalid: ( $i > $o ) > $o ).

thf(tp_mnot,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(tp_mor,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_mpartially_functional,type,
    mpartially_functional: ( $i > $i > $o ) > $o ).

thf(tp_mreflexive,type,
    mreflexive: ( $i > $i > $o ) > $o ).

thf(tp_msatisfiable,type,
    msatisfiable: ( $i > $o ) > $o ).

thf(tp_mserial,type,
    mserial: ( $i > $i > $o ) > $o ).

thf(tp_msymmetric,type,
    msymmetric: ( $i > $i > $o ) > $o ).

thf(tp_mtransitive,type,
    mtransitive: ( $i > $i > $o ) > $o ).

thf(tp_mtrue,type,
    mtrue: $i > $o ).

thf(tp_mvalid,type,
    mvalid: ( $i > $o ) > $o ).

thf(tp_mweakly_connected,type,
    mweakly_connected: ( $i > $i > $o ) > $o ).

thf(tp_mweakly_dense,type,
    mweakly_dense: ( $i > $i > $o ) > $o ).

thf(tp_mweakly_directed,type,
    mweakly_directed: ( $i > $i > $o ) > $o ).

thf(tp_mxor,type,
    mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(tp_peter,type,
    peter: mu ).

thf(tp_physics_student,type,
    physics_student: mu > $i > $o ).

thf(tp_r1,type,
    r1: $i > $i > $o ).

thf(tp_r2,type,
    r2: $i > $i > $o ).

thf(tp_r3,type,
    r3: $i > $i > $o ).

thf(tp_r4,type,
    r4: $i > $i > $o ).

thf(tp_r5,type,
    r5: $i > $i > $o ).

thf(tp_sK10_SY259,type,
    sK10_SY259: ( $i > $o ) > $i > $i ).

thf(tp_sK11_SY262,type,
    sK11_SY262: ( $i > $o ) > $i > $i ).

thf(tp_sK12_SY265,type,
    sK12_SY265: ( $i > $o ) > $i > $i ).

thf(tp_sK13_SY271,type,
    sK13_SY271: ( $i > $o ) > $i > $i ).

thf(tp_sK14_SY274,type,
    sK14_SY274: ( $i > $o ) > $i > $i ).

thf(tp_sK15_SY278,type,
    sK15_SY278: ( $i > $o ) > $i > $i ).

thf(tp_sK16_SY281,type,
    sK16_SY281: ( $i > $o ) > $i > $i ).

thf(tp_sK17_SY287,type,
    sK17_SY287: ( $i > $o ) > $i > $i ).

thf(tp_sK18_SY292,type,
    sK18_SY292: ( $i > $o ) > $i > $i ).

thf(tp_sK19_SY297,type,
    sK19_SY297: ( $i > $o ) > $i > $i ).

thf(tp_sK1_SX0,type,
    sK1_SX0: $i ).

thf(tp_sK20_SY299,type,
    sK20_SY299: ( $i > $o ) > $i > $i ).

thf(tp_sK21_SY308,type,
    sK21_SY308: ( $i > $o ) > $i > $i ).

thf(tp_sK22_SY311,type,
    sK22_SY311: ( $i > $o ) > $i > $i ).

thf(tp_sK23_SY314,type,
    sK23_SY314: ( $i > $o ) > $i > $i ).

thf(tp_sK24_SY317,type,
    sK24_SY317: ( $i > $o ) > $i > $i ).

thf(tp_sK25_SY320,type,
    sK25_SY320: ( $i > $o ) > $i > $i ).

thf(tp_sK26_SY323,type,
    sK26_SY323: ( $i > $o ) > $i > $i ).

thf(tp_sK27_SY328,type,
    sK27_SY328: ( $i > $o ) > $i > $i ).

thf(tp_sK28_SY330,type,
    sK28_SY330: ( $i > $o ) > $i > $i ).

thf(tp_sK29_SY333,type,
    sK29_SY333: ( $i > $o ) > $i > $i ).

thf(tp_sK2_SY227,type,
    sK2_SY227: ( $i > $o ) > $i > $i ).

thf(tp_sK30_SY338,type,
    sK30_SY338: ( $i > $o ) > $i > $i ).

thf(tp_sK31_SY341,type,
    sK31_SY341: ( $i > $o ) > $i > $i ).

thf(tp_sK32_SY346,type,
    sK32_SY346: ( $i > $o ) > $i > $i ).

thf(tp_sK33_SY349,type,
    sK33_SY349: ( $i > $o ) > $i > $i ).

thf(tp_sK34_SY355,type,
    sK34_SY355: ( $i > $o ) > $i > $i ).

thf(tp_sK35_SY357,type,
    sK35_SY357: ( $i > $o ) > $i > $i ).

thf(tp_sK36_SY361,type,
    sK36_SY361: ( $i > $o ) > $i > $i ).

thf(tp_sK37_SY369,type,
    sK37_SY369: ( $i > $o ) > $i > $i ).

thf(tp_sK38_SY372,type,
    sK38_SY372: ( $i > $o ) > $i > $i ).

thf(tp_sK39_SY375,type,
    sK39_SY375: ( $i > $o ) > $i > $i ).

thf(tp_sK3_SY230,type,
    sK3_SY230: ( $i > $o ) > $i > $i ).

thf(tp_sK40_SY377,type,
    sK40_SY377: ( $i > $o ) > $i > $i ).

thf(tp_sK41_SY379,type,
    sK41_SY379: ( $i > $o ) > $i > $i ).

thf(tp_sK42_SY404,type,
    sK42_SY404: mu > $i ).

thf(tp_sK43_SY231,type,
    sK43_SY231: ( $i > $o ) > $i > $i ).

thf(tp_sK44_SY240,type,
    sK44_SY240: ( $i > $o ) > $i > $i ).

thf(tp_sK45_SY385,type,
    sK45_SY385: $i > mu > $i > $i ).

thf(tp_sK46_SY387,type,
    sK46_SY387: $i > mu > $i > $i ).

thf(tp_sK47_SY389,type,
    sK47_SY389: $i > mu > $i > $i ).

thf(tp_sK48_SY391,type,
    sK48_SY391: $i > mu > $i > $i ).

thf(tp_sK49_SY282,type,
    sK49_SY282: ( $i > $o ) > $i > $i ).

thf(tp_sK4_SY232,type,
    sK4_SY232: ( $i > $o ) > $i > $i ).

thf(tp_sK50_SY329,type,
    sK50_SY329: ( $i > $o ) > $i > $i ).

thf(tp_sK51_SY334,type,
    sK51_SY334: ( $i > $o ) > $i > $i ).

thf(tp_sK52_SY398,type,
    sK52_SY398: $i > mu > $i > $i ).

thf(tp_sK53_SY383,type,
    sK53_SY383: $i > mu > $i > $i ).

thf(tp_sK54_SY384,type,
    sK54_SY384: $i > mu > $i > $i ).

thf(tp_sK55_SY231,type,
    sK55_SY231: ( $i > $o ) > $i > $i ).

thf(tp_sK56_SY240,type,
    sK56_SY240: ( $i > $o ) > $i > $i ).

thf(tp_sK57_SY393,type,
    sK57_SY393: $i > mu > $i > $i ).

thf(tp_sK58_SY282,type,
    sK58_SY282: ( $i > $o ) > $i > $i ).

thf(tp_sK59_SY394,type,
    sK59_SY394: $i > mu > $i > $i ).

thf(tp_sK5_SY235,type,
    sK5_SY235: ( $i > $o ) > $i > $i ).

thf(tp_sK60_SY395,type,
    sK60_SY395: $i > mu > $i > $i ).

thf(tp_sK61_SY396,type,
    sK61_SY396: $i > mu > $i > $i ).

thf(tp_sK62_SY397,type,
    sK62_SY397: $i > mu > $i > $i ).

thf(tp_sK63_SY329,type,
    sK63_SY329: ( $i > $o ) > $i > $i ).

thf(tp_sK64_SY334,type,
    sK64_SY334: ( $i > $o ) > $i > $i ).

thf(tp_sK65_SY400,type,
    sK65_SY400: $i > mu > $i > $i ).

thf(tp_sK66_SY401,type,
    sK66_SY401: $i > mu > $i > $i ).

thf(tp_sK67_SY402,type,
    sK67_SY402: $i > mu > $i > $i ).

thf(tp_sK68_SY403,type,
    sK68_SY403: $i > mu > $i > $i ).

thf(tp_sK69_SY455,type,
    sK69_SY455: $i > $i > ( $i > $o ) > $i > $i ).

thf(tp_sK6_SY237,type,
    sK6_SY237: ( $i > $o ) > $i > $i ).

thf(tp_sK70_SY456,type,
    sK70_SY456: $i > $i > ( $i > $o ) > $i > $i ).

thf(tp_sK71_SY457,type,
    sK71_SY457: $i > $i > ( $i > $o ) > $i > $i ).

thf(tp_sK72_SY458,type,
    sK72_SY458: $i > $i > ( $i > $o ) > $i > $i ).

thf(tp_sK73_SY459,type,
    sK73_SY459: $i > $i > ( $i > $o ) > $i > $i ).

thf(tp_sK7_SY239,type,
    sK7_SY239: ( $i > $o ) > $i > $i ).

thf(tp_sK8_SY247,type,
    sK8_SY247: ( $i > $o ) > $i > $i ).

thf(tp_sK9_SY253,type,
    sK9_SY253: ( $i > $o ) > $i > $i ).

thf(tp_tom,type,
    tom: mu ).

thf(mand,definition,
    ( mand
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).

thf(mbox,definition,
    ( mbox
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ~ ( R @ W @ V )
          | ( Phi @ V ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).

thf(mcountersatisfiable,definition,
    ( mcountersatisfiable
    = ( ^ [Phi: $i > $o] :
        ? [W: $i] :
          ~ ( Phi @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable) ).

thf(mdia,definition,
    ( mdia
    = ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).

thf(meq_ind,definition,
    ( meq_ind
    = ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind) ).

thf(meq_prop,definition,
    ( meq_prop
    = ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
          ( ( X @ W )
          = ( Y @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_prop) ).

thf(mequiv,definition,
    ( mequiv
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).

thf(meuclidean,definition,
    ( meuclidean
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ( R @ T @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean) ).

thf(mexists_ind,definition,
    ( mexists_ind
    = ( ^ [Phi: mu > $i > $o] :
          ( mnot
          @ ( mforall_ind
            @ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind) ).

thf(mexists_prop,definition,
    ( mexists_prop
    = ( ^ [Phi: ( $i > $o ) > $i > $o] :
          ( mnot
          @ ( mforall_prop
            @ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).

thf(mfalse,definition,
    ( mfalse
    = ( mnot @ mtrue ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).

thf(mforall_ind,definition,
    ( mforall_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ! [X: mu] : ( Phi @ X @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind) ).

thf(mforall_prop,definition,
    ( mforall_prop
    = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
        ! [P: $i > $o] : ( Phi @ P @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop) ).

thf(mfunctional,definition,
    ( mfunctional
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] :
        ? [T: $i] :
          ( ( R @ S @ T )
          & ! [U: $i] :
              ( ( R @ S @ U )
             => ( T = U ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfunctional) ).

thf(mimplied,definition,
    ( mimplied
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).

thf(mimplies,definition,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).

thf(minvalid,definition,
    ( minvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] :
          ~ ( Phi @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).

thf(mnot,definition,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).

thf(mor,definition,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).

thf(mpartially_functional,definition,
    ( mpartially_functional
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ( T = U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mpartially_functional) ).

thf(mreflexive,definition,
    ( mreflexive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] : ( R @ S @ S ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive) ).

thf(msatisfiable,definition,
    ( msatisfiable
    = ( ^ [Phi: $i > $o] :
        ? [W: $i] : ( Phi @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).

thf(mserial,definition,
    ( mserial
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i] :
        ? [T: $i] : ( R @ S @ T ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial) ).

thf(msymmetric,definition,
    ( msymmetric
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i] :
          ( ( R @ S @ T )
         => ( R @ T @ S ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric) ).

thf(mtransitive,definition,
    ( mtransitive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ T @ U ) )
         => ( R @ S @ U ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive) ).

thf(mtrue,definition,
    ( mtrue
    = ( ^ [W: $i] : $true ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).

thf(mvalid,definition,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid) ).

thf(mweakly_connected,definition,
    ( mweakly_connected
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ( ( R @ T @ U )
            | ( T = U )
            | ( R @ U @ T ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_connected) ).

thf(mweakly_dense,definition,
    ( mweakly_dense
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( R @ S @ T )
         => ? [U: $i] :
              ( ( R @ S @ U )
              & ( R @ U @ T ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_dense) ).

thf(mweakly_directed,definition,
    ( mweakly_directed
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ? [V: $i] :
              ( ( R @ T @ V )
              & ( R @ U @ V ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_directed) ).

thf(mxor,definition,
    ( mxor
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor) ).

thf(1,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r5 @ Phi ) ) @ ( mbox @ r5 @ ( mnot @ ( mbox @ r5 @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r5) ).

thf(2,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r4 @ Phi ) ) @ ( mbox @ r4 @ ( mnot @ ( mbox @ r4 @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r4) ).

thf(3,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r3) ).

thf(4,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r2) ).

thf(5,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5_for_r1) ).

thf(6,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r5 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r5) ).

thf(7,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r5 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r4) ).

thf(8,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r5 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r3) ).

thf(9,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r5 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r2) ).

thf(10,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r5 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r5_r1) ).

thf(11,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r4 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r5) ).

thf(12,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r4 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r4) ).

thf(13,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r4 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r3) ).

thf(14,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r4 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r2) ).

thf(15,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r4 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r4_r1) ).

thf(16,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r3 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r5) ).

thf(17,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r3 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r4) ).

thf(18,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r3) ).

thf(19,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r2) ).

thf(20,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r3_r1) ).

thf(21,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r2 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r5) ).

thf(22,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r2 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r4) ).

thf(23,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r3) ).

thf(24,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r2) ).

thf(25,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r2_r1) ).

thf(26,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r1 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r5) ).

thf(27,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r1 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r4) ).

thf(28,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r3) ).

thf(29,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r2) ).

thf(30,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4s_for_r1_r1) ).

thf(31,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r4 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r4) ).

thf(32,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r3 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r3) ).

thf(33,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r3 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r3) ).

thf(34,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r5_r2) ).

thf(35,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r2) ).

thf(36,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r2) ).

thf(37,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r45r1) ).

thf(38,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r4_r1) ).

thf(39,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r3_r1) ).

thf(40,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_I_for_r2_r1) ).

thf(41,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mnot @ ( mbox @ r5 @ ( mnot @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r5) ).

thf(42,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mnot @ ( mbox @ r4 @ ( mnot @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r4) ).

thf(43,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mnot @ ( mbox @ r3 @ ( mnot @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r3) ).

thf(44,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mnot @ ( mbox @ r2 @ ( mnot @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r2) ).

thf(45,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mnot @ ( mbox @ r1 @ ( mnot @ Phi ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_D_for_r1) ).

thf(46,axiom,
    mvalid @ ( mbox @ r5 @ ( physics_student @ mike ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a9) ).

thf(47,axiom,
    mvalid @ ( mbox @ r5 @ ( maths_student @ peter ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a8) ).

thf(48,axiom,
    mvalid @ ( mbox @ r2 @ ( mathematician @ tom ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a7) ).

thf(49,axiom,
    mvalid @ ( maths_teacher @ john ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a6) ).

thf(50,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r2 @ ( mimplies @ ( good_in_physics @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r5) ).

thf(51,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r5 @ ( good_in_physics @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_5) ).

thf(52,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r4 @ ( good_in_physics @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_4) ).

thf(53,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r3 @ ( good_in_physics @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_3) ).

thf(54,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r2 @ ( good_in_physics @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_2) ).

thf(55,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r1 @ ( good_in_physics @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r4_1) ).

thf(56,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r5 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_5) ).

thf(57,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r4 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_4) ).

thf(58,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r3 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_3) ).

thf(59,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_2) ).

thf(60,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r1 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r3_1) ).

thf(61,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r5 @ ( mathematician @ X ) ) @ ( mbox @ r5 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_5) ).

thf(62,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r4 @ ( mathematician @ X ) ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_4) ).

thf(63,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r3 @ ( mathematician @ X ) ) @ ( mbox @ r3 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_3) ).

thf(64,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r2 @ ( mathematician @ X ) ) @ ( mbox @ r2 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_2) ).

thf(65,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r1 @ ( mathematician @ X ) ) @ ( mbox @ r1 @ ( good_in_maths @ X ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r2_1) ).

thf(66,axiom,
    ( mvalid
    @ ( mforall_ind
      @ ^ [X: mu] : ( mimplies @ ( maths_teacher @ X ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r1) ).

thf(67,conjecture,
    ( mvalid
    @ ( mexists_ind
      @ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

thf(68,negated_conjecture,
    ( ( mvalid
      @ ( mexists_ind
        @ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[67]) ).

thf(69,plain,
    ( ( ~ ( mvalid
          @ ( mexists_ind
            @ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[68]) ).

thf(70,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mimplies @ ( maths_teacher @ X ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(71,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r1 @ ( mathematician @ X ) ) @ ( mbox @ r1 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(72,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r2 @ ( mathematician @ X ) ) @ ( mbox @ r2 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(73,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r3 @ ( mathematician @ X ) ) @ ( mbox @ r3 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(74,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r4 @ ( mathematician @ X ) ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(75,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r5 @ ( mimplies @ ( mbox @ r5 @ ( mathematician @ X ) ) @ ( mbox @ r5 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(76,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r1 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(77,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(78,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r3 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(79,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r4 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(80,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( maths_student @ X ) @ ( mdia @ r5 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(81,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r1 @ ( good_in_physics @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(82,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r2 @ ( good_in_physics @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(83,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r3 @ ( good_in_physics @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(84,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r4 @ ( good_in_physics @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(85,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r3 @ ( mimplies @ ( physics_student @ X ) @ ( mdia @ r5 @ ( good_in_physics @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(86,plain,
    ( ( mvalid
      @ ( mforall_ind
        @ ^ [X: mu] : ( mbox @ r2 @ ( mimplies @ ( good_in_physics @ X ) @ ( mdia @ r2 @ ( good_in_maths @ X ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(87,plain,
    ( ( mvalid @ ( maths_teacher @ john ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(88,plain,
    ( ( mvalid @ ( mbox @ r2 @ ( mathematician @ tom ) ) )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(89,plain,
    ( ( mvalid @ ( mbox @ r5 @ ( maths_student @ peter ) ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(90,plain,
    ( ( mvalid @ ( mbox @ r5 @ ( physics_student @ mike ) ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(91,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mnot @ ( mbox @ r1 @ ( mnot @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(92,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mnot @ ( mbox @ r2 @ ( mnot @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(93,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mnot @ ( mbox @ r3 @ ( mnot @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(94,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mnot @ ( mbox @ r4 @ ( mnot @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(95,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mnot @ ( mbox @ r5 @ ( mnot @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(96,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(97,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(98,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(99,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r1 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(100,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(101,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(102,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r2 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(103,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r3 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(104,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r3 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(105,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r4 @ Phi ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(106,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r1 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(107,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r1 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(108,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r1 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(109,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r1 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(110,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r1 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r1 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(111,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r2 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(112,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r2 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(113,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r2 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(114,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r2 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(115,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r2 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r2 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(116,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r3 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(117,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r3 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(118,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r3 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(119,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r3 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(120,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r3 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r3 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(121,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r4 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(122,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r4 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(123,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r4 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(124,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r4 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(125,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r4 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r4 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[11]) ).

thf(126,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r1 @ ( mbox @ r5 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[10]) ).

thf(127,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r2 @ ( mbox @ r5 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[9]) ).

thf(128,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r3 @ ( mbox @ r5 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(129,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r4 @ ( mbox @ r5 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(130,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ r5 @ Phi ) @ ( mbox @ r5 @ ( mbox @ r5 @ Phi ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[6]) ).

thf(131,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r1 @ Phi ) ) @ ( mbox @ r1 @ ( mnot @ ( mbox @ r1 @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(132,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r2 @ Phi ) ) @ ( mbox @ r2 @ ( mnot @ ( mbox @ r2 @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[4]) ).

thf(133,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r3 @ Phi ) ) @ ( mbox @ r3 @ ( mnot @ ( mbox @ r3 @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[3]) ).

thf(134,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r4 @ Phi ) ) @ ( mbox @ r4 @ ( mnot @ ( mbox @ r4 @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[2]) ).

thf(135,plain,
    ( ( mvalid
      @ ( mforall_prop
        @ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ r5 @ Phi ) ) @ ( mbox @ r5 @ ( mnot @ ( mbox @ r5 @ Phi ) ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[1]) ).

thf(136,plain,
    ( ( ~ ( mvalid
          @ ( mexists_ind
            @ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(137,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r2 @ SX0 @ SX2 )
          | ~ ( good_in_physics @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r2 @ SX2 @ SX3 )
                | ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(138,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( physics_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r3 @ SX2 @ SX3 )
                | ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(139,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r5 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r2 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[115,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(140,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ~ ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[95,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(141,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r2 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[114,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(142,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[99,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(143,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[97,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(144,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r1 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ~ ! [SX2: $i] :
                ( ~ ( r1 @ SX0 @ SX2 )
                | ~ ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[91,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(145,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r5 @ SX0 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r3 @ SX2 @ SX3 )
                | ( mathematician @ SX1 @ SX3 ) )
          | ! [SX3: $i] :
              ( ~ ( r3 @ SX2 @ SX3 )
              | ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[73,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(146,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r5 @ SX0 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r1 @ SX2 @ SX3 )
                | ( mathematician @ SX1 @ SX3 ) )
          | ! [SX3: $i] :
              ( ~ ( r1 @ SX2 @ SX3 )
              | ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[71,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(147,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r4 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[123,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(148,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r5 @ SX0 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r5 @ SX2 @ SX3 )
                | ( mathematician @ SX1 @ SX3 ) )
          | ! [SX3: $i] :
              ( ~ ( r5 @ SX2 @ SX3 )
              | ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[75,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(149,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r2 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[112,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(150,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r5 @ SX0 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r4 @ SX2 @ SX3 )
                | ( mathematician @ SX1 @ SX3 ) )
          | ! [SX3: $i] :
              ( ~ ( r4 @ SX2 @ SX3 )
              | ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[74,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(151,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r2 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[113,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(152,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r3 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[116,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(153,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r1 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r5 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r1 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[110,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(154,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ~ ! [SX2: $i] :
                  ( ~ ( r2 @ SX0 @ SX2 )
                  | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ~ ! [SX3: $i] :
                    ( ~ ( r2 @ SX2 @ SX3 )
                    | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[132,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(155,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( r5 @ SX0 @ SX1 )
          | ( physics_student @ mike @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(156,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r1 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r1 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[107,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(157,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[98,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(158,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( maths_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r1 @ SX2 @ SX3 )
                | ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[76,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(159,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r1 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r1 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[109,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(160,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ~ ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[94,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(161,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ~ ! [SX2: $i] :
                  ( ~ ( r4 @ SX0 @ SX2 )
                  | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ~ ! [SX3: $i] :
                    ( ~ ( r4 @ SX2 @ SX3 )
                    | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[134,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(162,plain,
    ( ( ! [SX0: $i,SX1: mu] :
          ( ~ ( maths_teacher @ SX1 @ SX0 )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ( good_in_maths @ SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[70,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(163,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r5 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[128,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(164,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( physics_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r1 @ SX2 @ SX3 )
                | ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(165,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r3 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[118,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(166,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( maths_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r3 @ SX2 @ SX3 )
                | ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(167,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[96,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(168,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[101,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(169,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( maths_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r4 @ SX2 @ SX3 )
                | ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(170,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( r5 @ SX0 @ SX1 )
          | ( maths_student @ peter @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(171,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ~ ! [SX2: $i] :
                  ( ~ ( r3 @ SX0 @ SX2 )
                  | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ~ ! [SX3: $i] :
                    ( ~ ( r3 @ SX2 @ SX3 )
                    | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[133,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(172,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( physics_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r2 @ SX2 @ SX3 )
                | ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(173,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r2 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[111,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(174,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r1 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r1 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[106,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(175,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r5 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r5 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[130,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(176,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r1 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r1 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[108,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(177,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r5 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[129,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(178,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r5 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[126,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(179,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( r2 @ SX0 @ SX1 )
          | ( mathematician @ tom @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(180,plain,
    ( ( ~ ! [SX0: $i] :
            ~ ! [SX1: mu] :
                ~ ! [SX2: $i] :
                    ( ~ ( r4 @ SX0 @ SX2 )
                    | ( good_in_maths @ SX1 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[136,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(181,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ~ ! [SX2: $i] :
                ( ~ ( r2 @ SX0 @ SX2 )
                | ~ ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[92,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(182,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r3 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[119,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(183,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ~ ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[93,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(184,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r5 @ SX0 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r2 @ SX2 @ SX3 )
                | ( mathematician @ SX1 @ SX3 ) )
          | ! [SX3: $i] :
              ( ~ ( r2 @ SX2 @ SX3 )
              | ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[72,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(185,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r5 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r3 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[120,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(186,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r5 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[127,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(187,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( physics_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r4 @ SX2 @ SX3 )
                | ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(188,plain,
    ( ( ! [SX0: $i] : ( maths_teacher @ john @ SX0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(189,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r3 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[117,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(190,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r5 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r4 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[125,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(191,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ~ ! [SX2: $i] :
                  ( ~ ( r5 @ SX0 @ SX2 )
                  | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r5 @ SX0 @ SX2 )
              | ~ ! [SX3: $i] :
                    ( ~ ( r5 @ SX2 @ SX3 )
                    | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[135,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(192,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[105,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(193,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r3 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[100,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(194,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( physics_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r5 @ SX2 @ SX3 )
                | ~ ( good_in_physics @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(195,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r4 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[122,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(196,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ~ ! [SX2: $i] :
                  ( ~ ( r1 @ SX0 @ SX2 )
                  | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ~ ! [SX3: $i] :
                    ( ~ ( r1 @ SX2 @ SX3 )
                    | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[131,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(197,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( maths_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r2 @ SX2 @ SX3 )
                | ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(198,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r4 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r4 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[124,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(199,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r1 @ SX0 @ SX2 )
              | ! [SX3: $i] :
                  ( ~ ( r4 @ SX2 @ SX3 )
                  | ( SX1 @ SX3 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[121,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(200,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r2 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[102,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(201,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r4 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[103,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(202,plain,
    ( ( ! [SX0: $i,SX1: $i > $o] :
          ( ~ ! [SX2: $i] :
                ( ~ ( r5 @ SX0 @ SX2 )
                | ( SX1 @ SX2 ) )
          | ! [SX2: $i] :
              ( ~ ( r3 @ SX0 @ SX2 )
              | ( SX1 @ SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[104,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(203,plain,
    ( ( ! [SX0: $i,SX1: mu,SX2: $i] :
          ( ~ ( r3 @ SX0 @ SX2 )
          | ~ ( maths_student @ SX1 @ SX2 )
          | ~ ! [SX3: $i] :
                ( ~ ( r5 @ SX2 @ SX3 )
                | ~ ( good_in_maths @ SX1 @ SX3 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).

thf(204,plain,
    ! [SV1: $i] :
      ( ( ! [SY0: mu,SY1: $i] :
            ( ~ ( r2 @ SV1 @ SY1 )
            | ~ ( good_in_physics @ SY0 @ SY1 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r2 @ SY1 @ SX3 )
                  | ~ ( good_in_maths @ SY0 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[137]) ).

thf(205,plain,
    ! [SV2: $i] :
      ( ( ! [SY3: mu,SY4: $i] :
            ( ~ ( r3 @ SV2 @ SY4 )
            | ~ ( physics_student @ SY3 @ SY4 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r3 @ SY4 @ SX3 )
                  | ~ ( good_in_physics @ SY3 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[138]) ).

thf(206,plain,
    ! [SV3: $i] :
      ( ( ! [SY6: $i > $o] :
            ( ~ ! [SY7: $i] :
                  ( ~ ( r2 @ SV3 @ SY7 )
                  | ( SY6 @ SY7 ) )
            | ! [SY8: $i] :
                ( ~ ( r5 @ SV3 @ SY8 )
                | ! [SX3: $i] :
                    ( ~ ( r2 @ SY8 @ SX3 )
                    | ( SY6 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[139]) ).

thf(207,plain,
    ! [SV4: $i] :
      ( ( ! [SY10: $i > $o] :
            ( ~ ! [SY11: $i] :
                  ( ~ ( r5 @ SV4 @ SY11 )
                  | ( SY10 @ SY11 ) )
            | ~ ! [SY12: $i] :
                  ( ~ ( r5 @ SV4 @ SY12 )
                  | ~ ( SY10 @ SY12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[140]) ).

thf(208,plain,
    ! [SV5: $i] :
      ( ( ! [SY13: $i > $o] :
            ( ~ ! [SY14: $i] :
                  ( ~ ( r2 @ SV5 @ SY14 )
                  | ( SY13 @ SY14 ) )
            | ! [SY15: $i] :
                ( ~ ( r4 @ SV5 @ SY15 )
                | ! [SX3: $i] :
                    ( ~ ( r2 @ SY15 @ SX3 )
                    | ( SY13 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[141]) ).

thf(209,plain,
    ! [SV6: $i] :
      ( ( ! [SY17: $i > $o] :
            ( ~ ! [SY18: $i] :
                  ( ~ ( r5 @ SV6 @ SY18 )
                  | ( SY17 @ SY18 ) )
            | ! [SY19: $i] :
                ( ~ ( r1 @ SV6 @ SY19 )
                | ( SY17 @ SY19 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[142]) ).

thf(210,plain,
    ! [SV7: $i] :
      ( ( ! [SY20: $i > $o] :
            ( ~ ! [SY21: $i] :
                  ( ~ ( r3 @ SV7 @ SY21 )
                  | ( SY20 @ SY21 ) )
            | ! [SY22: $i] :
                ( ~ ( r1 @ SV7 @ SY22 )
                | ( SY20 @ SY22 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[143]) ).

thf(211,plain,
    ! [SV8: $i] :
      ( ( ! [SY23: $i > $o] :
            ( ~ ! [SY24: $i] :
                  ( ~ ( r1 @ SV8 @ SY24 )
                  | ( SY23 @ SY24 ) )
            | ~ ! [SY25: $i] :
                  ( ~ ( r1 @ SV8 @ SY25 )
                  | ~ ( SY23 @ SY25 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[144]) ).

thf(212,plain,
    ! [SV9: $i] :
      ( ( ! [SY26: mu,SY27: $i] :
            ( ~ ( r5 @ SV9 @ SY27 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r3 @ SY27 @ SX3 )
                  | ( mathematician @ SY26 @ SX3 ) )
            | ! [SX3: $i] :
                ( ~ ( r3 @ SY27 @ SX3 )
                | ( good_in_maths @ SY26 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[145]) ).

thf(213,plain,
    ! [SV10: $i] :
      ( ( ! [SY30: mu,SY31: $i] :
            ( ~ ( r5 @ SV10 @ SY31 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r1 @ SY31 @ SX3 )
                  | ( mathematician @ SY30 @ SX3 ) )
            | ! [SX3: $i] :
                ( ~ ( r1 @ SY31 @ SX3 )
                | ( good_in_maths @ SY30 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[146]) ).

thf(214,plain,
    ! [SV11: $i] :
      ( ( ! [SY34: $i > $o] :
            ( ~ ! [SY35: $i] :
                  ( ~ ( r4 @ SV11 @ SY35 )
                  | ( SY34 @ SY35 ) )
            | ! [SY36: $i] :
                ( ~ ( r3 @ SV11 @ SY36 )
                | ! [SX3: $i] :
                    ( ~ ( r4 @ SY36 @ SX3 )
                    | ( SY34 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[147]) ).

thf(215,plain,
    ! [SV12: $i] :
      ( ( ! [SY38: mu,SY39: $i] :
            ( ~ ( r5 @ SV12 @ SY39 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r5 @ SY39 @ SX3 )
                  | ( mathematician @ SY38 @ SX3 ) )
            | ! [SX3: $i] :
                ( ~ ( r5 @ SY39 @ SX3 )
                | ( good_in_maths @ SY38 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[148]) ).

thf(216,plain,
    ! [SV13: $i] :
      ( ( ! [SY42: $i > $o] :
            ( ~ ! [SY43: $i] :
                  ( ~ ( r2 @ SV13 @ SY43 )
                  | ( SY42 @ SY43 ) )
            | ! [SY44: $i] :
                ( ~ ( r2 @ SV13 @ SY44 )
                | ! [SX3: $i] :
                    ( ~ ( r2 @ SY44 @ SX3 )
                    | ( SY42 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[149]) ).

thf(217,plain,
    ! [SV14: $i] :
      ( ( ! [SY46: mu,SY47: $i] :
            ( ~ ( r5 @ SV14 @ SY47 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r4 @ SY47 @ SX3 )
                  | ( mathematician @ SY46 @ SX3 ) )
            | ! [SX3: $i] :
                ( ~ ( r4 @ SY47 @ SX3 )
                | ( good_in_maths @ SY46 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[150]) ).

thf(218,plain,
    ! [SV15: $i] :
      ( ( ! [SY50: $i > $o] :
            ( ~ ! [SY51: $i] :
                  ( ~ ( r2 @ SV15 @ SY51 )
                  | ( SY50 @ SY51 ) )
            | ! [SY52: $i] :
                ( ~ ( r3 @ SV15 @ SY52 )
                | ! [SX3: $i] :
                    ( ~ ( r2 @ SY52 @ SX3 )
                    | ( SY50 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[151]) ).

thf(219,plain,
    ! [SV16: $i] :
      ( ( ! [SY54: $i > $o] :
            ( ~ ! [SY55: $i] :
                  ( ~ ( r3 @ SV16 @ SY55 )
                  | ( SY54 @ SY55 ) )
            | ! [SY56: $i] :
                ( ~ ( r1 @ SV16 @ SY56 )
                | ! [SX3: $i] :
                    ( ~ ( r3 @ SY56 @ SX3 )
                    | ( SY54 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[152]) ).

thf(220,plain,
    ! [SV17: $i] :
      ( ( ! [SY58: $i > $o] :
            ( ~ ! [SY59: $i] :
                  ( ~ ( r1 @ SV17 @ SY59 )
                  | ( SY58 @ SY59 ) )
            | ! [SY60: $i] :
                ( ~ ( r5 @ SV17 @ SY60 )
                | ! [SX3: $i] :
                    ( ~ ( r1 @ SY60 @ SX3 )
                    | ( SY58 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[153]) ).

thf(221,plain,
    ! [SV18: $i] :
      ( ( ! [SY62: $i > $o] :
            ( ~ ~ ! [SY63: $i] :
                    ( ~ ( r2 @ SV18 @ SY63 )
                    | ( SY62 @ SY63 ) )
            | ! [SY64: $i] :
                ( ~ ( r2 @ SV18 @ SY64 )
                | ~ ! [SX3: $i] :
                      ( ~ ( r2 @ SY64 @ SX3 )
                      | ( SY62 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[154]) ).

thf(222,plain,
    ! [SV19: $i] :
      ( ( ! [SY66: $i] :
            ( ~ ( r5 @ SV19 @ SY66 )
            | ( physics_student @ mike @ SY66 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[155]) ).

thf(223,plain,
    ! [SV20: $i] :
      ( ( ! [SY67: $i > $o] :
            ( ~ ! [SY68: $i] :
                  ( ~ ( r1 @ SV20 @ SY68 )
                  | ( SY67 @ SY68 ) )
            | ! [SY69: $i] :
                ( ~ ( r2 @ SV20 @ SY69 )
                | ! [SX3: $i] :
                    ( ~ ( r1 @ SY69 @ SX3 )
                    | ( SY67 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[156]) ).

thf(224,plain,
    ! [SV21: $i] :
      ( ( ! [SY71: $i > $o] :
            ( ~ ! [SY72: $i] :
                  ( ~ ( r4 @ SV21 @ SY72 )
                  | ( SY71 @ SY72 ) )
            | ! [SY73: $i] :
                ( ~ ( r1 @ SV21 @ SY73 )
                | ( SY71 @ SY73 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[157]) ).

thf(225,plain,
    ! [SV22: $i] :
      ( ( ! [SY74: mu,SY75: $i] :
            ( ~ ( r3 @ SV22 @ SY75 )
            | ~ ( maths_student @ SY74 @ SY75 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r1 @ SY75 @ SX3 )
                  | ~ ( good_in_maths @ SY74 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[158]) ).

thf(226,plain,
    ! [SV23: $i] :
      ( ( ! [SY77: $i > $o] :
            ( ~ ! [SY78: $i] :
                  ( ~ ( r1 @ SV23 @ SY78 )
                  | ( SY77 @ SY78 ) )
            | ! [SY79: $i] :
                ( ~ ( r4 @ SV23 @ SY79 )
                | ! [SX3: $i] :
                    ( ~ ( r1 @ SY79 @ SX3 )
                    | ( SY77 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[159]) ).

thf(227,plain,
    ! [SV24: $i] :
      ( ( ! [SY81: $i > $o] :
            ( ~ ! [SY82: $i] :
                  ( ~ ( r4 @ SV24 @ SY82 )
                  | ( SY81 @ SY82 ) )
            | ~ ! [SY83: $i] :
                  ( ~ ( r4 @ SV24 @ SY83 )
                  | ~ ( SY81 @ SY83 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[160]) ).

thf(228,plain,
    ! [SV25: $i] :
      ( ( ! [SY84: $i > $o] :
            ( ~ ~ ! [SY85: $i] :
                    ( ~ ( r4 @ SV25 @ SY85 )
                    | ( SY84 @ SY85 ) )
            | ! [SY86: $i] :
                ( ~ ( r4 @ SV25 @ SY86 )
                | ~ ! [SX3: $i] :
                      ( ~ ( r4 @ SY86 @ SX3 )
                      | ( SY84 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[161]) ).

thf(229,plain,
    ! [SV26: $i] :
      ( ( ! [SY88: mu] :
            ( ~ ( maths_teacher @ SY88 @ SV26 )
            | ! [SY89: $i] :
                ( ~ ( r4 @ SV26 @ SY89 )
                | ( good_in_maths @ SY88 @ SY89 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[162]) ).

thf(230,plain,
    ! [SV27: $i] :
      ( ( ! [SY90: $i > $o] :
            ( ~ ! [SY91: $i] :
                  ( ~ ( r5 @ SV27 @ SY91 )
                  | ( SY90 @ SY91 ) )
            | ! [SY92: $i] :
                ( ~ ( r3 @ SV27 @ SY92 )
                | ! [SX3: $i] :
                    ( ~ ( r5 @ SY92 @ SX3 )
                    | ( SY90 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[163]) ).

thf(231,plain,
    ! [SV28: $i] :
      ( ( ! [SY94: mu,SY95: $i] :
            ( ~ ( r3 @ SV28 @ SY95 )
            | ~ ( physics_student @ SY94 @ SY95 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r1 @ SY95 @ SX3 )
                  | ~ ( good_in_physics @ SY94 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[164]) ).

thf(232,plain,
    ! [SV29: $i] :
      ( ( ! [SY97: $i > $o] :
            ( ~ ! [SY98: $i] :
                  ( ~ ( r3 @ SV29 @ SY98 )
                  | ( SY97 @ SY98 ) )
            | ! [SY99: $i] :
                ( ~ ( r3 @ SV29 @ SY99 )
                | ! [SX3: $i] :
                    ( ~ ( r3 @ SY99 @ SX3 )
                    | ( SY97 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[165]) ).

thf(233,plain,
    ! [SV30: $i] :
      ( ( ! [SY101: mu,SY102: $i] :
            ( ~ ( r3 @ SV30 @ SY102 )
            | ~ ( maths_student @ SY101 @ SY102 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r3 @ SY102 @ SX3 )
                  | ~ ( good_in_maths @ SY101 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[166]) ).

thf(234,plain,
    ! [SV31: $i] :
      ( ( ! [SY104: $i > $o] :
            ( ~ ! [SY105: $i] :
                  ( ~ ( r2 @ SV31 @ SY105 )
                  | ( SY104 @ SY105 ) )
            | ! [SY106: $i] :
                ( ~ ( r1 @ SV31 @ SY106 )
                | ( SY104 @ SY106 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[167]) ).

thf(235,plain,
    ! [SV32: $i] :
      ( ( ! [SY107: $i > $o] :
            ( ~ ! [SY108: $i] :
                  ( ~ ( r4 @ SV32 @ SY108 )
                  | ( SY107 @ SY108 ) )
            | ! [SY109: $i] :
                ( ~ ( r2 @ SV32 @ SY109 )
                | ( SY107 @ SY109 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[168]) ).

thf(236,plain,
    ! [SV33: $i] :
      ( ( ! [SY110: mu,SY111: $i] :
            ( ~ ( r3 @ SV33 @ SY111 )
            | ~ ( maths_student @ SY110 @ SY111 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r4 @ SY111 @ SX3 )
                  | ~ ( good_in_maths @ SY110 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[169]) ).

thf(237,plain,
    ! [SV34: $i] :
      ( ( ! [SY113: $i] :
            ( ~ ( r5 @ SV34 @ SY113 )
            | ( maths_student @ peter @ SY113 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[170]) ).

thf(238,plain,
    ! [SV35: $i] :
      ( ( ! [SY114: $i > $o] :
            ( ~ ~ ! [SY115: $i] :
                    ( ~ ( r3 @ SV35 @ SY115 )
                    | ( SY114 @ SY115 ) )
            | ! [SY116: $i] :
                ( ~ ( r3 @ SV35 @ SY116 )
                | ~ ! [SX3: $i] :
                      ( ~ ( r3 @ SY116 @ SX3 )
                      | ( SY114 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[171]) ).

thf(239,plain,
    ! [SV36: $i] :
      ( ( ! [SY118: mu,SY119: $i] :
            ( ~ ( r3 @ SV36 @ SY119 )
            | ~ ( physics_student @ SY118 @ SY119 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r2 @ SY119 @ SX3 )
                  | ~ ( good_in_physics @ SY118 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[172]) ).

thf(240,plain,
    ! [SV37: $i] :
      ( ( ! [SY121: $i > $o] :
            ( ~ ! [SY122: $i] :
                  ( ~ ( r2 @ SV37 @ SY122 )
                  | ( SY121 @ SY122 ) )
            | ! [SY123: $i] :
                ( ~ ( r1 @ SV37 @ SY123 )
                | ! [SX3: $i] :
                    ( ~ ( r2 @ SY123 @ SX3 )
                    | ( SY121 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[173]) ).

thf(241,plain,
    ! [SV38: $i] :
      ( ( ! [SY125: $i > $o] :
            ( ~ ! [SY126: $i] :
                  ( ~ ( r1 @ SV38 @ SY126 )
                  | ( SY125 @ SY126 ) )
            | ! [SY127: $i] :
                ( ~ ( r1 @ SV38 @ SY127 )
                | ! [SX3: $i] :
                    ( ~ ( r1 @ SY127 @ SX3 )
                    | ( SY125 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[174]) ).

thf(242,plain,
    ! [SV39: $i] :
      ( ( ! [SY129: $i > $o] :
            ( ~ ! [SY130: $i] :
                  ( ~ ( r5 @ SV39 @ SY130 )
                  | ( SY129 @ SY130 ) )
            | ! [SY131: $i] :
                ( ~ ( r5 @ SV39 @ SY131 )
                | ! [SX3: $i] :
                    ( ~ ( r5 @ SY131 @ SX3 )
                    | ( SY129 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[175]) ).

thf(243,plain,
    ! [SV40: $i] :
      ( ( ! [SY133: $i > $o] :
            ( ~ ! [SY134: $i] :
                  ( ~ ( r1 @ SV40 @ SY134 )
                  | ( SY133 @ SY134 ) )
            | ! [SY135: $i] :
                ( ~ ( r3 @ SV40 @ SY135 )
                | ! [SX3: $i] :
                    ( ~ ( r1 @ SY135 @ SX3 )
                    | ( SY133 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[176]) ).

thf(244,plain,
    ! [SV41: $i] :
      ( ( ! [SY137: $i > $o] :
            ( ~ ! [SY138: $i] :
                  ( ~ ( r5 @ SV41 @ SY138 )
                  | ( SY137 @ SY138 ) )
            | ! [SY139: $i] :
                ( ~ ( r4 @ SV41 @ SY139 )
                | ! [SX3: $i] :
                    ( ~ ( r5 @ SY139 @ SX3 )
                    | ( SY137 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[177]) ).

thf(245,plain,
    ! [SV42: $i] :
      ( ( ! [SY141: $i > $o] :
            ( ~ ! [SY142: $i] :
                  ( ~ ( r5 @ SV42 @ SY142 )
                  | ( SY141 @ SY142 ) )
            | ! [SY143: $i] :
                ( ~ ( r1 @ SV42 @ SY143 )
                | ! [SX3: $i] :
                    ( ~ ( r5 @ SY143 @ SX3 )
                    | ( SY141 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[178]) ).

thf(246,plain,
    ! [SV43: $i] :
      ( ( ! [SY145: $i] :
            ( ~ ( r2 @ SV43 @ SY145 )
            | ( mathematician @ tom @ SY145 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[179]) ).

thf(247,plain,
    ( ( ! [SX0: $i] :
          ~ ! [SX1: mu] :
              ~ ! [SX2: $i] :
                  ( ~ ( r4 @ SX0 @ SX2 )
                  | ( good_in_maths @ SX1 @ SX2 ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(248,plain,
    ! [SV44: $i] :
      ( ( ! [SY146: $i > $o] :
            ( ~ ! [SY147: $i] :
                  ( ~ ( r2 @ SV44 @ SY147 )
                  | ( SY146 @ SY147 ) )
            | ~ ! [SY148: $i] :
                  ( ~ ( r2 @ SV44 @ SY148 )
                  | ~ ( SY146 @ SY148 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[181]) ).

thf(249,plain,
    ! [SV45: $i] :
      ( ( ! [SY149: $i > $o] :
            ( ~ ! [SY150: $i] :
                  ( ~ ( r3 @ SV45 @ SY150 )
                  | ( SY149 @ SY150 ) )
            | ! [SY151: $i] :
                ( ~ ( r4 @ SV45 @ SY151 )
                | ! [SX3: $i] :
                    ( ~ ( r3 @ SY151 @ SX3 )
                    | ( SY149 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[182]) ).

thf(250,plain,
    ! [SV46: $i] :
      ( ( ! [SY153: $i > $o] :
            ( ~ ! [SY154: $i] :
                  ( ~ ( r3 @ SV46 @ SY154 )
                  | ( SY153 @ SY154 ) )
            | ~ ! [SY155: $i] :
                  ( ~ ( r3 @ SV46 @ SY155 )
                  | ~ ( SY153 @ SY155 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[183]) ).

thf(251,plain,
    ! [SV47: $i] :
      ( ( ! [SY156: mu,SY157: $i] :
            ( ~ ( r5 @ SV47 @ SY157 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r2 @ SY157 @ SX3 )
                  | ( mathematician @ SY156 @ SX3 ) )
            | ! [SX3: $i] :
                ( ~ ( r2 @ SY157 @ SX3 )
                | ( good_in_maths @ SY156 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[184]) ).

thf(252,plain,
    ! [SV48: $i] :
      ( ( ! [SY160: $i > $o] :
            ( ~ ! [SY161: $i] :
                  ( ~ ( r3 @ SV48 @ SY161 )
                  | ( SY160 @ SY161 ) )
            | ! [SY162: $i] :
                ( ~ ( r5 @ SV48 @ SY162 )
                | ! [SX3: $i] :
                    ( ~ ( r3 @ SY162 @ SX3 )
                    | ( SY160 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[185]) ).

thf(253,plain,
    ! [SV49: $i] :
      ( ( ! [SY164: $i > $o] :
            ( ~ ! [SY165: $i] :
                  ( ~ ( r5 @ SV49 @ SY165 )
                  | ( SY164 @ SY165 ) )
            | ! [SY166: $i] :
                ( ~ ( r2 @ SV49 @ SY166 )
                | ! [SX3: $i] :
                    ( ~ ( r5 @ SY166 @ SX3 )
                    | ( SY164 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[186]) ).

thf(254,plain,
    ! [SV50: $i] :
      ( ( ! [SY168: mu,SY169: $i] :
            ( ~ ( r3 @ SV50 @ SY169 )
            | ~ ( physics_student @ SY168 @ SY169 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r4 @ SY169 @ SX3 )
                  | ~ ( good_in_physics @ SY168 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[187]) ).

thf(255,plain,
    ! [SV51: $i] :
      ( ( maths_teacher @ john @ SV51 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[188]) ).

thf(256,plain,
    ! [SV52: $i] :
      ( ( ! [SY171: $i > $o] :
            ( ~ ! [SY172: $i] :
                  ( ~ ( r3 @ SV52 @ SY172 )
                  | ( SY171 @ SY172 ) )
            | ! [SY173: $i] :
                ( ~ ( r2 @ SV52 @ SY173 )
                | ! [SX3: $i] :
                    ( ~ ( r3 @ SY173 @ SX3 )
                    | ( SY171 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[189]) ).

thf(257,plain,
    ! [SV53: $i] :
      ( ( ! [SY175: $i > $o] :
            ( ~ ! [SY176: $i] :
                  ( ~ ( r4 @ SV53 @ SY176 )
                  | ( SY175 @ SY176 ) )
            | ! [SY177: $i] :
                ( ~ ( r5 @ SV53 @ SY177 )
                | ! [SX3: $i] :
                    ( ~ ( r4 @ SY177 @ SX3 )
                    | ( SY175 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[190]) ).

thf(258,plain,
    ! [SV54: $i] :
      ( ( ! [SY179: $i > $o] :
            ( ~ ~ ! [SY180: $i] :
                    ( ~ ( r5 @ SV54 @ SY180 )
                    | ( SY179 @ SY180 ) )
            | ! [SY181: $i] :
                ( ~ ( r5 @ SV54 @ SY181 )
                | ~ ! [SX3: $i] :
                      ( ~ ( r5 @ SY181 @ SX3 )
                      | ( SY179 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[191]) ).

thf(259,plain,
    ! [SV55: $i] :
      ( ( ! [SY183: $i > $o] :
            ( ~ ! [SY184: $i] :
                  ( ~ ( r5 @ SV55 @ SY184 )
                  | ( SY183 @ SY184 ) )
            | ! [SY185: $i] :
                ( ~ ( r4 @ SV55 @ SY185 )
                | ( SY183 @ SY185 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[192]) ).

thf(260,plain,
    ! [SV56: $i] :
      ( ( ! [SY186: $i > $o] :
            ( ~ ! [SY187: $i] :
                  ( ~ ( r3 @ SV56 @ SY187 )
                  | ( SY186 @ SY187 ) )
            | ! [SY188: $i] :
                ( ~ ( r2 @ SV56 @ SY188 )
                | ( SY186 @ SY188 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[193]) ).

thf(261,plain,
    ! [SV57: $i] :
      ( ( ! [SY189: mu,SY190: $i] :
            ( ~ ( r3 @ SV57 @ SY190 )
            | ~ ( physics_student @ SY189 @ SY190 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r5 @ SY190 @ SX3 )
                  | ~ ( good_in_physics @ SY189 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[194]) ).

thf(262,plain,
    ! [SV58: $i] :
      ( ( ! [SY192: $i > $o] :
            ( ~ ! [SY193: $i] :
                  ( ~ ( r4 @ SV58 @ SY193 )
                  | ( SY192 @ SY193 ) )
            | ! [SY194: $i] :
                ( ~ ( r2 @ SV58 @ SY194 )
                | ! [SX3: $i] :
                    ( ~ ( r4 @ SY194 @ SX3 )
                    | ( SY192 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[195]) ).

thf(263,plain,
    ! [SV59: $i] :
      ( ( ! [SY196: $i > $o] :
            ( ~ ~ ! [SY197: $i] :
                    ( ~ ( r1 @ SV59 @ SY197 )
                    | ( SY196 @ SY197 ) )
            | ! [SY198: $i] :
                ( ~ ( r1 @ SV59 @ SY198 )
                | ~ ! [SX3: $i] :
                      ( ~ ( r1 @ SY198 @ SX3 )
                      | ( SY196 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[196]) ).

thf(264,plain,
    ! [SV60: $i] :
      ( ( ! [SY200: mu,SY201: $i] :
            ( ~ ( r3 @ SV60 @ SY201 )
            | ~ ( maths_student @ SY200 @ SY201 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r2 @ SY201 @ SX3 )
                  | ~ ( good_in_maths @ SY200 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[197]) ).

thf(265,plain,
    ! [SV61: $i] :
      ( ( ! [SY203: $i > $o] :
            ( ~ ! [SY204: $i] :
                  ( ~ ( r4 @ SV61 @ SY204 )
                  | ( SY203 @ SY204 ) )
            | ! [SY205: $i] :
                ( ~ ( r4 @ SV61 @ SY205 )
                | ! [SX3: $i] :
                    ( ~ ( r4 @ SY205 @ SX3 )
                    | ( SY203 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[198]) ).

thf(266,plain,
    ! [SV62: $i] :
      ( ( ! [SY207: $i > $o] :
            ( ~ ! [SY208: $i] :
                  ( ~ ( r4 @ SV62 @ SY208 )
                  | ( SY207 @ SY208 ) )
            | ! [SY209: $i] :
                ( ~ ( r1 @ SV62 @ SY209 )
                | ! [SX3: $i] :
                    ( ~ ( r4 @ SY209 @ SX3 )
                    | ( SY207 @ SX3 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[199]) ).

thf(267,plain,
    ! [SV63: $i] :
      ( ( ! [SY211: $i > $o] :
            ( ~ ! [SY212: $i] :
                  ( ~ ( r5 @ SV63 @ SY212 )
                  | ( SY211 @ SY212 ) )
            | ! [SY213: $i] :
                ( ~ ( r2 @ SV63 @ SY213 )
                | ( SY211 @ SY213 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[200]) ).

thf(268,plain,
    ! [SV64: $i] :
      ( ( ! [SY214: $i > $o] :
            ( ~ ! [SY215: $i] :
                  ( ~ ( r4 @ SV64 @ SY215 )
                  | ( SY214 @ SY215 ) )
            | ! [SY216: $i] :
                ( ~ ( r3 @ SV64 @ SY216 )
                | ( SY214 @ SY216 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[201]) ).

thf(269,plain,
    ! [SV65: $i] :
      ( ( ! [SY217: $i > $o] :
            ( ~ ! [SY218: $i] :
                  ( ~ ( r5 @ SV65 @ SY218 )
                  | ( SY217 @ SY218 ) )
            | ! [SY219: $i] :
                ( ~ ( r3 @ SV65 @ SY219 )
                | ( SY217 @ SY219 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[202]) ).

thf(270,plain,
    ! [SV66: $i] :
      ( ( ! [SY220: mu,SY221: $i] :
            ( ~ ( r3 @ SV66 @ SY221 )
            | ~ ( maths_student @ SY220 @ SY221 )
            | ~ ! [SX3: $i] :
                  ( ~ ( r5 @ SY221 @ SX3 )
                  | ~ ( good_in_maths @ SY220 @ SX3 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[203]) ).

thf(271,plain,
    ! [SV67: mu,SV1: $i] :
      ( ( ! [SY223: $i] :
            ( ~ ( r2 @ SV1 @ SY223 )
            | ~ ( good_in_physics @ SV67 @ SY223 )
            | ~ ! [SY224: $i] :
                  ( ~ ( r2 @ SY223 @ SY224 )
                  | ~ ( good_in_maths @ SV67 @ SY224 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[204]) ).

thf(272,plain,
    ! [SV68: mu,SV2: $i] :
      ( ( ! [SY225: $i] :
            ( ~ ( r3 @ SV2 @ SY225 )
            | ~ ( physics_student @ SV68 @ SY225 )
            | ~ ! [SY226: $i] :
                  ( ~ ( r3 @ SY225 @ SY226 )
                  | ~ ( good_in_physics @ SV68 @ SY226 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[205]) ).

thf(273,plain,
    ! [SV69: $i > $o,SV3: $i] :
      ( ( ~ ! [SY227: $i] :
              ( ~ ( r2 @ SV3 @ SY227 )
              | ( SV69 @ SY227 ) )
        | ! [SY228: $i] :
            ( ~ ( r5 @ SV3 @ SY228 )
            | ! [SY229: $i] :
                ( ~ ( r2 @ SY228 @ SY229 )
                | ( SV69 @ SY229 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[206]) ).

thf(274,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ~ ! [SY230: $i] :
              ( ~ ( r5 @ SV4 @ SY230 )
              | ( SV70 @ SY230 ) )
        | ~ ! [SY231: $i] :
              ( ~ ( r5 @ SV4 @ SY231 )
              | ~ ( SV70 @ SY231 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[207]) ).

thf(275,plain,
    ! [SV71: $i > $o,SV5: $i] :
      ( ( ~ ! [SY232: $i] :
              ( ~ ( r2 @ SV5 @ SY232 )
              | ( SV71 @ SY232 ) )
        | ! [SY233: $i] :
            ( ~ ( r4 @ SV5 @ SY233 )
            | ! [SY234: $i] :
                ( ~ ( r2 @ SY233 @ SY234 )
                | ( SV71 @ SY234 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[208]) ).

thf(276,plain,
    ! [SV72: $i > $o,SV6: $i] :
      ( ( ~ ! [SY235: $i] :
              ( ~ ( r5 @ SV6 @ SY235 )
              | ( SV72 @ SY235 ) )
        | ! [SY236: $i] :
            ( ~ ( r1 @ SV6 @ SY236 )
            | ( SV72 @ SY236 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[209]) ).

thf(277,plain,
    ! [SV73: $i > $o,SV7: $i] :
      ( ( ~ ! [SY237: $i] :
              ( ~ ( r3 @ SV7 @ SY237 )
              | ( SV73 @ SY237 ) )
        | ! [SY238: $i] :
            ( ~ ( r1 @ SV7 @ SY238 )
            | ( SV73 @ SY238 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[210]) ).

thf(278,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ~ ! [SY239: $i] :
              ( ~ ( r1 @ SV8 @ SY239 )
              | ( SV74 @ SY239 ) )
        | ~ ! [SY240: $i] :
              ( ~ ( r1 @ SV8 @ SY240 )
              | ~ ( SV74 @ SY240 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[211]) ).

thf(279,plain,
    ! [SV75: mu,SV9: $i] :
      ( ( ! [SY241: $i] :
            ( ~ ( r5 @ SV9 @ SY241 )
            | ~ ! [SY242: $i] :
                  ( ~ ( r3 @ SY241 @ SY242 )
                  | ( mathematician @ SV75 @ SY242 ) )
            | ! [SY243: $i] :
                ( ~ ( r3 @ SY241 @ SY243 )
                | ( good_in_maths @ SV75 @ SY243 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[212]) ).

thf(280,plain,
    ! [SV76: mu,SV10: $i] :
      ( ( ! [SY244: $i] :
            ( ~ ( r5 @ SV10 @ SY244 )
            | ~ ! [SY245: $i] :
                  ( ~ ( r1 @ SY244 @ SY245 )
                  | ( mathematician @ SV76 @ SY245 ) )
            | ! [SY246: $i] :
                ( ~ ( r1 @ SY244 @ SY246 )
                | ( good_in_maths @ SV76 @ SY246 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[213]) ).

thf(281,plain,
    ! [SV77: $i > $o,SV11: $i] :
      ( ( ~ ! [SY247: $i] :
              ( ~ ( r4 @ SV11 @ SY247 )
              | ( SV77 @ SY247 ) )
        | ! [SY248: $i] :
            ( ~ ( r3 @ SV11 @ SY248 )
            | ! [SY249: $i] :
                ( ~ ( r4 @ SY248 @ SY249 )
                | ( SV77 @ SY249 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[214]) ).

thf(282,plain,
    ! [SV78: mu,SV12: $i] :
      ( ( ! [SY250: $i] :
            ( ~ ( r5 @ SV12 @ SY250 )
            | ~ ! [SY251: $i] :
                  ( ~ ( r5 @ SY250 @ SY251 )
                  | ( mathematician @ SV78 @ SY251 ) )
            | ! [SY252: $i] :
                ( ~ ( r5 @ SY250 @ SY252 )
                | ( good_in_maths @ SV78 @ SY252 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[215]) ).

thf(283,plain,
    ! [SV79: $i > $o,SV13: $i] :
      ( ( ~ ! [SY253: $i] :
              ( ~ ( r2 @ SV13 @ SY253 )
              | ( SV79 @ SY253 ) )
        | ! [SY254: $i] :
            ( ~ ( r2 @ SV13 @ SY254 )
            | ! [SY255: $i] :
                ( ~ ( r2 @ SY254 @ SY255 )
                | ( SV79 @ SY255 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[216]) ).

thf(284,plain,
    ! [SV80: mu,SV14: $i] :
      ( ( ! [SY256: $i] :
            ( ~ ( r5 @ SV14 @ SY256 )
            | ~ ! [SY257: $i] :
                  ( ~ ( r4 @ SY256 @ SY257 )
                  | ( mathematician @ SV80 @ SY257 ) )
            | ! [SY258: $i] :
                ( ~ ( r4 @ SY256 @ SY258 )
                | ( good_in_maths @ SV80 @ SY258 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[217]) ).

thf(285,plain,
    ! [SV81: $i > $o,SV15: $i] :
      ( ( ~ ! [SY259: $i] :
              ( ~ ( r2 @ SV15 @ SY259 )
              | ( SV81 @ SY259 ) )
        | ! [SY260: $i] :
            ( ~ ( r3 @ SV15 @ SY260 )
            | ! [SY261: $i] :
                ( ~ ( r2 @ SY260 @ SY261 )
                | ( SV81 @ SY261 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[218]) ).

thf(286,plain,
    ! [SV82: $i > $o,SV16: $i] :
      ( ( ~ ! [SY262: $i] :
              ( ~ ( r3 @ SV16 @ SY262 )
              | ( SV82 @ SY262 ) )
        | ! [SY263: $i] :
            ( ~ ( r1 @ SV16 @ SY263 )
            | ! [SY264: $i] :
                ( ~ ( r3 @ SY263 @ SY264 )
                | ( SV82 @ SY264 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[219]) ).

thf(287,plain,
    ! [SV83: $i > $o,SV17: $i] :
      ( ( ~ ! [SY265: $i] :
              ( ~ ( r1 @ SV17 @ SY265 )
              | ( SV83 @ SY265 ) )
        | ! [SY266: $i] :
            ( ~ ( r5 @ SV17 @ SY266 )
            | ! [SY267: $i] :
                ( ~ ( r1 @ SY266 @ SY267 )
                | ( SV83 @ SY267 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[220]) ).

thf(288,plain,
    ! [SV84: $i > $o,SV18: $i] :
      ( ( ~ ~ ! [SY268: $i] :
                ( ~ ( r2 @ SV18 @ SY268 )
                | ( SV84 @ SY268 ) )
        | ! [SY269: $i] :
            ( ~ ( r2 @ SV18 @ SY269 )
            | ~ ! [SY270: $i] :
                  ( ~ ( r2 @ SY269 @ SY270 )
                  | ( SV84 @ SY270 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[221]) ).

thf(289,plain,
    ! [SV85: $i,SV19: $i] :
      ( ( ~ ( r5 @ SV19 @ SV85 )
        | ( physics_student @ mike @ SV85 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[222]) ).

thf(290,plain,
    ! [SV86: $i > $o,SV20: $i] :
      ( ( ~ ! [SY271: $i] :
              ( ~ ( r1 @ SV20 @ SY271 )
              | ( SV86 @ SY271 ) )
        | ! [SY272: $i] :
            ( ~ ( r2 @ SV20 @ SY272 )
            | ! [SY273: $i] :
                ( ~ ( r1 @ SY272 @ SY273 )
                | ( SV86 @ SY273 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[223]) ).

thf(291,plain,
    ! [SV87: $i > $o,SV21: $i] :
      ( ( ~ ! [SY274: $i] :
              ( ~ ( r4 @ SV21 @ SY274 )
              | ( SV87 @ SY274 ) )
        | ! [SY275: $i] :
            ( ~ ( r1 @ SV21 @ SY275 )
            | ( SV87 @ SY275 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[224]) ).

thf(292,plain,
    ! [SV88: mu,SV22: $i] :
      ( ( ! [SY276: $i] :
            ( ~ ( r3 @ SV22 @ SY276 )
            | ~ ( maths_student @ SV88 @ SY276 )
            | ~ ! [SY277: $i] :
                  ( ~ ( r1 @ SY276 @ SY277 )
                  | ~ ( good_in_maths @ SV88 @ SY277 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[225]) ).

thf(293,plain,
    ! [SV89: $i > $o,SV23: $i] :
      ( ( ~ ! [SY278: $i] :
              ( ~ ( r1 @ SV23 @ SY278 )
              | ( SV89 @ SY278 ) )
        | ! [SY279: $i] :
            ( ~ ( r4 @ SV23 @ SY279 )
            | ! [SY280: $i] :
                ( ~ ( r1 @ SY279 @ SY280 )
                | ( SV89 @ SY280 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[226]) ).

thf(294,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ~ ! [SY281: $i] :
              ( ~ ( r4 @ SV24 @ SY281 )
              | ( SV90 @ SY281 ) )
        | ~ ! [SY282: $i] :
              ( ~ ( r4 @ SV24 @ SY282 )
              | ~ ( SV90 @ SY282 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[227]) ).

thf(295,plain,
    ! [SV91: $i > $o,SV25: $i] :
      ( ( ~ ~ ! [SY283: $i] :
                ( ~ ( r4 @ SV25 @ SY283 )
                | ( SV91 @ SY283 ) )
        | ! [SY284: $i] :
            ( ~ ( r4 @ SV25 @ SY284 )
            | ~ ! [SY285: $i] :
                  ( ~ ( r4 @ SY284 @ SY285 )
                  | ( SV91 @ SY285 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[228]) ).

thf(296,plain,
    ! [SV26: $i,SV92: mu] :
      ( ( ~ ( maths_teacher @ SV92 @ SV26 )
        | ! [SY286: $i] :
            ( ~ ( r4 @ SV26 @ SY286 )
            | ( good_in_maths @ SV92 @ SY286 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[229]) ).

thf(297,plain,
    ! [SV93: $i > $o,SV27: $i] :
      ( ( ~ ! [SY287: $i] :
              ( ~ ( r5 @ SV27 @ SY287 )
              | ( SV93 @ SY287 ) )
        | ! [SY288: $i] :
            ( ~ ( r3 @ SV27 @ SY288 )
            | ! [SY289: $i] :
                ( ~ ( r5 @ SY288 @ SY289 )
                | ( SV93 @ SY289 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[230]) ).

thf(298,plain,
    ! [SV94: mu,SV28: $i] :
      ( ( ! [SY290: $i] :
            ( ~ ( r3 @ SV28 @ SY290 )
            | ~ ( physics_student @ SV94 @ SY290 )
            | ~ ! [SY291: $i] :
                  ( ~ ( r1 @ SY290 @ SY291 )
                  | ~ ( good_in_physics @ SV94 @ SY291 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[231]) ).

thf(299,plain,
    ! [SV95: $i > $o,SV29: $i] :
      ( ( ~ ! [SY292: $i] :
              ( ~ ( r3 @ SV29 @ SY292 )
              | ( SV95 @ SY292 ) )
        | ! [SY293: $i] :
            ( ~ ( r3 @ SV29 @ SY293 )
            | ! [SY294: $i] :
                ( ~ ( r3 @ SY293 @ SY294 )
                | ( SV95 @ SY294 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[232]) ).

thf(300,plain,
    ! [SV96: mu,SV30: $i] :
      ( ( ! [SY295: $i] :
            ( ~ ( r3 @ SV30 @ SY295 )
            | ~ ( maths_student @ SV96 @ SY295 )
            | ~ ! [SY296: $i] :
                  ( ~ ( r3 @ SY295 @ SY296 )
                  | ~ ( good_in_maths @ SV96 @ SY296 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[233]) ).

thf(301,plain,
    ! [SV97: $i > $o,SV31: $i] :
      ( ( ~ ! [SY297: $i] :
              ( ~ ( r2 @ SV31 @ SY297 )
              | ( SV97 @ SY297 ) )
        | ! [SY298: $i] :
            ( ~ ( r1 @ SV31 @ SY298 )
            | ( SV97 @ SY298 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[234]) ).

thf(302,plain,
    ! [SV98: $i > $o,SV32: $i] :
      ( ( ~ ! [SY299: $i] :
              ( ~ ( r4 @ SV32 @ SY299 )
              | ( SV98 @ SY299 ) )
        | ! [SY300: $i] :
            ( ~ ( r2 @ SV32 @ SY300 )
            | ( SV98 @ SY300 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[235]) ).

thf(303,plain,
    ! [SV99: mu,SV33: $i] :
      ( ( ! [SY301: $i] :
            ( ~ ( r3 @ SV33 @ SY301 )
            | ~ ( maths_student @ SV99 @ SY301 )
            | ~ ! [SY302: $i] :
                  ( ~ ( r4 @ SY301 @ SY302 )
                  | ~ ( good_in_maths @ SV99 @ SY302 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[236]) ).

thf(304,plain,
    ! [SV100: $i,SV34: $i] :
      ( ( ~ ( r5 @ SV34 @ SV100 )
        | ( maths_student @ peter @ SV100 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[237]) ).

thf(305,plain,
    ! [SV101: $i > $o,SV35: $i] :
      ( ( ~ ~ ! [SY303: $i] :
                ( ~ ( r3 @ SV35 @ SY303 )
                | ( SV101 @ SY303 ) )
        | ! [SY304: $i] :
            ( ~ ( r3 @ SV35 @ SY304 )
            | ~ ! [SY305: $i] :
                  ( ~ ( r3 @ SY304 @ SY305 )
                  | ( SV101 @ SY305 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[238]) ).

thf(306,plain,
    ! [SV102: mu,SV36: $i] :
      ( ( ! [SY306: $i] :
            ( ~ ( r3 @ SV36 @ SY306 )
            | ~ ( physics_student @ SV102 @ SY306 )
            | ~ ! [SY307: $i] :
                  ( ~ ( r2 @ SY306 @ SY307 )
                  | ~ ( good_in_physics @ SV102 @ SY307 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[239]) ).

thf(307,plain,
    ! [SV103: $i > $o,SV37: $i] :
      ( ( ~ ! [SY308: $i] :
              ( ~ ( r2 @ SV37 @ SY308 )
              | ( SV103 @ SY308 ) )
        | ! [SY309: $i] :
            ( ~ ( r1 @ SV37 @ SY309 )
            | ! [SY310: $i] :
                ( ~ ( r2 @ SY309 @ SY310 )
                | ( SV103 @ SY310 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[240]) ).

thf(308,plain,
    ! [SV104: $i > $o,SV38: $i] :
      ( ( ~ ! [SY311: $i] :
              ( ~ ( r1 @ SV38 @ SY311 )
              | ( SV104 @ SY311 ) )
        | ! [SY312: $i] :
            ( ~ ( r1 @ SV38 @ SY312 )
            | ! [SY313: $i] :
                ( ~ ( r1 @ SY312 @ SY313 )
                | ( SV104 @ SY313 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[241]) ).

thf(309,plain,
    ! [SV105: $i > $o,SV39: $i] :
      ( ( ~ ! [SY314: $i] :
              ( ~ ( r5 @ SV39 @ SY314 )
              | ( SV105 @ SY314 ) )
        | ! [SY315: $i] :
            ( ~ ( r5 @ SV39 @ SY315 )
            | ! [SY316: $i] :
                ( ~ ( r5 @ SY315 @ SY316 )
                | ( SV105 @ SY316 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[242]) ).

thf(310,plain,
    ! [SV106: $i > $o,SV40: $i] :
      ( ( ~ ! [SY317: $i] :
              ( ~ ( r1 @ SV40 @ SY317 )
              | ( SV106 @ SY317 ) )
        | ! [SY318: $i] :
            ( ~ ( r3 @ SV40 @ SY318 )
            | ! [SY319: $i] :
                ( ~ ( r1 @ SY318 @ SY319 )
                | ( SV106 @ SY319 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[243]) ).

thf(311,plain,
    ! [SV107: $i > $o,SV41: $i] :
      ( ( ~ ! [SY320: $i] :
              ( ~ ( r5 @ SV41 @ SY320 )
              | ( SV107 @ SY320 ) )
        | ! [SY321: $i] :
            ( ~ ( r4 @ SV41 @ SY321 )
            | ! [SY322: $i] :
                ( ~ ( r5 @ SY321 @ SY322 )
                | ( SV107 @ SY322 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[244]) ).

thf(312,plain,
    ! [SV108: $i > $o,SV42: $i] :
      ( ( ~ ! [SY323: $i] :
              ( ~ ( r5 @ SV42 @ SY323 )
              | ( SV108 @ SY323 ) )
        | ! [SY324: $i] :
            ( ~ ( r1 @ SV42 @ SY324 )
            | ! [SY325: $i] :
                ( ~ ( r5 @ SY324 @ SY325 )
                | ( SV108 @ SY325 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[245]) ).

thf(313,plain,
    ! [SV109: $i,SV43: $i] :
      ( ( ~ ( r2 @ SV43 @ SV109 )
        | ( mathematician @ tom @ SV109 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[246]) ).

thf(314,plain,
    ( ( ~ ! [SY326: mu] :
            ~ ! [SY327: $i] :
                ( ~ ( r4 @ sK1_SX0 @ SY327 )
                | ( good_in_maths @ SY326 @ SY327 ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[247]) ).

thf(315,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ~ ! [SY328: $i] :
              ( ~ ( r2 @ SV44 @ SY328 )
              | ( SV110 @ SY328 ) )
        | ~ ! [SY329: $i] :
              ( ~ ( r2 @ SV44 @ SY329 )
              | ~ ( SV110 @ SY329 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[248]) ).

thf(316,plain,
    ! [SV111: $i > $o,SV45: $i] :
      ( ( ~ ! [SY330: $i] :
              ( ~ ( r3 @ SV45 @ SY330 )
              | ( SV111 @ SY330 ) )
        | ! [SY331: $i] :
            ( ~ ( r4 @ SV45 @ SY331 )
            | ! [SY332: $i] :
                ( ~ ( r3 @ SY331 @ SY332 )
                | ( SV111 @ SY332 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[249]) ).

thf(317,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ~ ! [SY333: $i] :
              ( ~ ( r3 @ SV46 @ SY333 )
              | ( SV112 @ SY333 ) )
        | ~ ! [SY334: $i] :
              ( ~ ( r3 @ SV46 @ SY334 )
              | ~ ( SV112 @ SY334 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[250]) ).

thf(318,plain,
    ! [SV113: mu,SV47: $i] :
      ( ( ! [SY335: $i] :
            ( ~ ( r5 @ SV47 @ SY335 )
            | ~ ! [SY336: $i] :
                  ( ~ ( r2 @ SY335 @ SY336 )
                  | ( mathematician @ SV113 @ SY336 ) )
            | ! [SY337: $i] :
                ( ~ ( r2 @ SY335 @ SY337 )
                | ( good_in_maths @ SV113 @ SY337 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[251]) ).

thf(319,plain,
    ! [SV114: $i > $o,SV48: $i] :
      ( ( ~ ! [SY338: $i] :
              ( ~ ( r3 @ SV48 @ SY338 )
              | ( SV114 @ SY338 ) )
        | ! [SY339: $i] :
            ( ~ ( r5 @ SV48 @ SY339 )
            | ! [SY340: $i] :
                ( ~ ( r3 @ SY339 @ SY340 )
                | ( SV114 @ SY340 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[252]) ).

thf(320,plain,
    ! [SV115: $i > $o,SV49: $i] :
      ( ( ~ ! [SY341: $i] :
              ( ~ ( r5 @ SV49 @ SY341 )
              | ( SV115 @ SY341 ) )
        | ! [SY342: $i] :
            ( ~ ( r2 @ SV49 @ SY342 )
            | ! [SY343: $i] :
                ( ~ ( r5 @ SY342 @ SY343 )
                | ( SV115 @ SY343 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[253]) ).

thf(321,plain,
    ! [SV116: mu,SV50: $i] :
      ( ( ! [SY344: $i] :
            ( ~ ( r3 @ SV50 @ SY344 )
            | ~ ( physics_student @ SV116 @ SY344 )
            | ~ ! [SY345: $i] :
                  ( ~ ( r4 @ SY344 @ SY345 )
                  | ~ ( good_in_physics @ SV116 @ SY345 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[254]) ).

thf(322,plain,
    ! [SV117: $i > $o,SV52: $i] :
      ( ( ~ ! [SY346: $i] :
              ( ~ ( r3 @ SV52 @ SY346 )
              | ( SV117 @ SY346 ) )
        | ! [SY347: $i] :
            ( ~ ( r2 @ SV52 @ SY347 )
            | ! [SY348: $i] :
                ( ~ ( r3 @ SY347 @ SY348 )
                | ( SV117 @ SY348 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[256]) ).

thf(323,plain,
    ! [SV118: $i > $o,SV53: $i] :
      ( ( ~ ! [SY349: $i] :
              ( ~ ( r4 @ SV53 @ SY349 )
              | ( SV118 @ SY349 ) )
        | ! [SY350: $i] :
            ( ~ ( r5 @ SV53 @ SY350 )
            | ! [SY351: $i] :
                ( ~ ( r4 @ SY350 @ SY351 )
                | ( SV118 @ SY351 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[257]) ).

thf(324,plain,
    ! [SV119: $i > $o,SV54: $i] :
      ( ( ~ ~ ! [SY352: $i] :
                ( ~ ( r5 @ SV54 @ SY352 )
                | ( SV119 @ SY352 ) )
        | ! [SY353: $i] :
            ( ~ ( r5 @ SV54 @ SY353 )
            | ~ ! [SY354: $i] :
                  ( ~ ( r5 @ SY353 @ SY354 )
                  | ( SV119 @ SY354 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[258]) ).

thf(325,plain,
    ! [SV120: $i > $o,SV55: $i] :
      ( ( ~ ! [SY355: $i] :
              ( ~ ( r5 @ SV55 @ SY355 )
              | ( SV120 @ SY355 ) )
        | ! [SY356: $i] :
            ( ~ ( r4 @ SV55 @ SY356 )
            | ( SV120 @ SY356 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[259]) ).

thf(326,plain,
    ! [SV121: $i > $o,SV56: $i] :
      ( ( ~ ! [SY357: $i] :
              ( ~ ( r3 @ SV56 @ SY357 )
              | ( SV121 @ SY357 ) )
        | ! [SY358: $i] :
            ( ~ ( r2 @ SV56 @ SY358 )
            | ( SV121 @ SY358 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[260]) ).

thf(327,plain,
    ! [SV122: mu,SV57: $i] :
      ( ( ! [SY359: $i] :
            ( ~ ( r3 @ SV57 @ SY359 )
            | ~ ( physics_student @ SV122 @ SY359 )
            | ~ ! [SY360: $i] :
                  ( ~ ( r5 @ SY359 @ SY360 )
                  | ~ ( good_in_physics @ SV122 @ SY360 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[261]) ).

thf(328,plain,
    ! [SV123: $i > $o,SV58: $i] :
      ( ( ~ ! [SY361: $i] :
              ( ~ ( r4 @ SV58 @ SY361 )
              | ( SV123 @ SY361 ) )
        | ! [SY362: $i] :
            ( ~ ( r2 @ SV58 @ SY362 )
            | ! [SY363: $i] :
                ( ~ ( r4 @ SY362 @ SY363 )
                | ( SV123 @ SY363 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[262]) ).

thf(329,plain,
    ! [SV124: $i > $o,SV59: $i] :
      ( ( ~ ~ ! [SY364: $i] :
                ( ~ ( r1 @ SV59 @ SY364 )
                | ( SV124 @ SY364 ) )
        | ! [SY365: $i] :
            ( ~ ( r1 @ SV59 @ SY365 )
            | ~ ! [SY366: $i] :
                  ( ~ ( r1 @ SY365 @ SY366 )
                  | ( SV124 @ SY366 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[263]) ).

thf(330,plain,
    ! [SV125: mu,SV60: $i] :
      ( ( ! [SY367: $i] :
            ( ~ ( r3 @ SV60 @ SY367 )
            | ~ ( maths_student @ SV125 @ SY367 )
            | ~ ! [SY368: $i] :
                  ( ~ ( r2 @ SY367 @ SY368 )
                  | ~ ( good_in_maths @ SV125 @ SY368 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[264]) ).

thf(331,plain,
    ! [SV126: $i > $o,SV61: $i] :
      ( ( ~ ! [SY369: $i] :
              ( ~ ( r4 @ SV61 @ SY369 )
              | ( SV126 @ SY369 ) )
        | ! [SY370: $i] :
            ( ~ ( r4 @ SV61 @ SY370 )
            | ! [SY371: $i] :
                ( ~ ( r4 @ SY370 @ SY371 )
                | ( SV126 @ SY371 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[265]) ).

thf(332,plain,
    ! [SV127: $i > $o,SV62: $i] :
      ( ( ~ ! [SY372: $i] :
              ( ~ ( r4 @ SV62 @ SY372 )
              | ( SV127 @ SY372 ) )
        | ! [SY373: $i] :
            ( ~ ( r1 @ SV62 @ SY373 )
            | ! [SY374: $i] :
                ( ~ ( r4 @ SY373 @ SY374 )
                | ( SV127 @ SY374 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[266]) ).

thf(333,plain,
    ! [SV128: $i > $o,SV63: $i] :
      ( ( ~ ! [SY375: $i] :
              ( ~ ( r5 @ SV63 @ SY375 )
              | ( SV128 @ SY375 ) )
        | ! [SY376: $i] :
            ( ~ ( r2 @ SV63 @ SY376 )
            | ( SV128 @ SY376 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[267]) ).

thf(334,plain,
    ! [SV129: $i > $o,SV64: $i] :
      ( ( ~ ! [SY377: $i] :
              ( ~ ( r4 @ SV64 @ SY377 )
              | ( SV129 @ SY377 ) )
        | ! [SY378: $i] :
            ( ~ ( r3 @ SV64 @ SY378 )
            | ( SV129 @ SY378 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[268]) ).

thf(335,plain,
    ! [SV130: $i > $o,SV65: $i] :
      ( ( ~ ! [SY379: $i] :
              ( ~ ( r5 @ SV65 @ SY379 )
              | ( SV130 @ SY379 ) )
        | ! [SY380: $i] :
            ( ~ ( r3 @ SV65 @ SY380 )
            | ( SV130 @ SY380 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[269]) ).

thf(336,plain,
    ! [SV131: mu,SV66: $i] :
      ( ( ! [SY381: $i] :
            ( ~ ( r3 @ SV66 @ SY381 )
            | ~ ( maths_student @ SV131 @ SY381 )
            | ~ ! [SY382: $i] :
                  ( ~ ( r5 @ SY381 @ SY382 )
                  | ~ ( good_in_maths @ SV131 @ SY382 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[270]) ).

thf(337,plain,
    ! [SV67: mu,SV132: $i,SV1: $i] :
      ( ( ~ ( r2 @ SV1 @ SV132 )
        | ~ ( good_in_physics @ SV67 @ SV132 )
        | ~ ! [SY383: $i] :
              ( ~ ( r2 @ SV132 @ SY383 )
              | ~ ( good_in_maths @ SV67 @ SY383 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[271]) ).

thf(338,plain,
    ! [SV68: mu,SV133: $i,SV2: $i] :
      ( ( ~ ( r3 @ SV2 @ SV133 )
        | ~ ( physics_student @ SV68 @ SV133 )
        | ~ ! [SY384: $i] :
              ( ~ ( r3 @ SV133 @ SY384 )
              | ~ ( good_in_physics @ SV68 @ SY384 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[272]) ).

thf(339,plain,
    ! [SV69: $i > $o,SV3: $i] :
      ( ( ( ~ ! [SY227: $i] :
                ( ~ ( r2 @ SV3 @ SY227 )
                | ( SV69 @ SY227 ) ) )
        = $true )
      | ( ( ! [SY228: $i] :
              ( ~ ( r5 @ SV3 @ SY228 )
              | ! [SY229: $i] :
                  ( ~ ( r2 @ SY228 @ SY229 )
                  | ( SV69 @ SY229 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[273]) ).

thf(340,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ~ ! [SY230: $i] :
                ( ~ ( r5 @ SV4 @ SY230 )
                | ( SV70 @ SY230 ) ) )
        = $true )
      | ( ( ~ ! [SY231: $i] :
                ( ~ ( r5 @ SV4 @ SY231 )
                | ~ ( SV70 @ SY231 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[274]) ).

thf(341,plain,
    ! [SV71: $i > $o,SV5: $i] :
      ( ( ( ~ ! [SY232: $i] :
                ( ~ ( r2 @ SV5 @ SY232 )
                | ( SV71 @ SY232 ) ) )
        = $true )
      | ( ( ! [SY233: $i] :
              ( ~ ( r4 @ SV5 @ SY233 )
              | ! [SY234: $i] :
                  ( ~ ( r2 @ SY233 @ SY234 )
                  | ( SV71 @ SY234 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[275]) ).

thf(342,plain,
    ! [SV72: $i > $o,SV6: $i] :
      ( ( ( ~ ! [SY235: $i] :
                ( ~ ( r5 @ SV6 @ SY235 )
                | ( SV72 @ SY235 ) ) )
        = $true )
      | ( ( ! [SY236: $i] :
              ( ~ ( r1 @ SV6 @ SY236 )
              | ( SV72 @ SY236 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(343,plain,
    ! [SV73: $i > $o,SV7: $i] :
      ( ( ( ~ ! [SY237: $i] :
                ( ~ ( r3 @ SV7 @ SY237 )
                | ( SV73 @ SY237 ) ) )
        = $true )
      | ( ( ! [SY238: $i] :
              ( ~ ( r1 @ SV7 @ SY238 )
              | ( SV73 @ SY238 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[277]) ).

thf(344,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ~ ! [SY239: $i] :
                ( ~ ( r1 @ SV8 @ SY239 )
                | ( SV74 @ SY239 ) ) )
        = $true )
      | ( ( ~ ! [SY240: $i] :
                ( ~ ( r1 @ SV8 @ SY240 )
                | ~ ( SV74 @ SY240 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[278]) ).

thf(345,plain,
    ! [SV75: mu,SV134: $i,SV9: $i] :
      ( ( ~ ( r5 @ SV9 @ SV134 )
        | ~ ! [SY385: $i] :
              ( ~ ( r3 @ SV134 @ SY385 )
              | ( mathematician @ SV75 @ SY385 ) )
        | ! [SY386: $i] :
            ( ~ ( r3 @ SV134 @ SY386 )
            | ( good_in_maths @ SV75 @ SY386 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[279]) ).

thf(346,plain,
    ! [SV76: mu,SV135: $i,SV10: $i] :
      ( ( ~ ( r5 @ SV10 @ SV135 )
        | ~ ! [SY387: $i] :
              ( ~ ( r1 @ SV135 @ SY387 )
              | ( mathematician @ SV76 @ SY387 ) )
        | ! [SY388: $i] :
            ( ~ ( r1 @ SV135 @ SY388 )
            | ( good_in_maths @ SV76 @ SY388 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[280]) ).

thf(347,plain,
    ! [SV77: $i > $o,SV11: $i] :
      ( ( ( ~ ! [SY247: $i] :
                ( ~ ( r4 @ SV11 @ SY247 )
                | ( SV77 @ SY247 ) ) )
        = $true )
      | ( ( ! [SY248: $i] :
              ( ~ ( r3 @ SV11 @ SY248 )
              | ! [SY249: $i] :
                  ( ~ ( r4 @ SY248 @ SY249 )
                  | ( SV77 @ SY249 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[281]) ).

thf(348,plain,
    ! [SV78: mu,SV136: $i,SV12: $i] :
      ( ( ~ ( r5 @ SV12 @ SV136 )
        | ~ ! [SY389: $i] :
              ( ~ ( r5 @ SV136 @ SY389 )
              | ( mathematician @ SV78 @ SY389 ) )
        | ! [SY390: $i] :
            ( ~ ( r5 @ SV136 @ SY390 )
            | ( good_in_maths @ SV78 @ SY390 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[282]) ).

thf(349,plain,
    ! [SV79: $i > $o,SV13: $i] :
      ( ( ( ~ ! [SY253: $i] :
                ( ~ ( r2 @ SV13 @ SY253 )
                | ( SV79 @ SY253 ) ) )
        = $true )
      | ( ( ! [SY254: $i] :
              ( ~ ( r2 @ SV13 @ SY254 )
              | ! [SY255: $i] :
                  ( ~ ( r2 @ SY254 @ SY255 )
                  | ( SV79 @ SY255 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[283]) ).

thf(350,plain,
    ! [SV80: mu,SV137: $i,SV14: $i] :
      ( ( ~ ( r5 @ SV14 @ SV137 )
        | ~ ! [SY391: $i] :
              ( ~ ( r4 @ SV137 @ SY391 )
              | ( mathematician @ SV80 @ SY391 ) )
        | ! [SY392: $i] :
            ( ~ ( r4 @ SV137 @ SY392 )
            | ( good_in_maths @ SV80 @ SY392 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[284]) ).

thf(351,plain,
    ! [SV81: $i > $o,SV15: $i] :
      ( ( ( ~ ! [SY259: $i] :
                ( ~ ( r2 @ SV15 @ SY259 )
                | ( SV81 @ SY259 ) ) )
        = $true )
      | ( ( ! [SY260: $i] :
              ( ~ ( r3 @ SV15 @ SY260 )
              | ! [SY261: $i] :
                  ( ~ ( r2 @ SY260 @ SY261 )
                  | ( SV81 @ SY261 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[285]) ).

thf(352,plain,
    ! [SV82: $i > $o,SV16: $i] :
      ( ( ( ~ ! [SY262: $i] :
                ( ~ ( r3 @ SV16 @ SY262 )
                | ( SV82 @ SY262 ) ) )
        = $true )
      | ( ( ! [SY263: $i] :
              ( ~ ( r1 @ SV16 @ SY263 )
              | ! [SY264: $i] :
                  ( ~ ( r3 @ SY263 @ SY264 )
                  | ( SV82 @ SY264 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[286]) ).

thf(353,plain,
    ! [SV83: $i > $o,SV17: $i] :
      ( ( ( ~ ! [SY265: $i] :
                ( ~ ( r1 @ SV17 @ SY265 )
                | ( SV83 @ SY265 ) ) )
        = $true )
      | ( ( ! [SY266: $i] :
              ( ~ ( r5 @ SV17 @ SY266 )
              | ! [SY267: $i] :
                  ( ~ ( r1 @ SY266 @ SY267 )
                  | ( SV83 @ SY267 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[287]) ).

thf(354,plain,
    ! [SV84: $i > $o,SV18: $i] :
      ( ( ( ~ ~ ! [SY268: $i] :
                  ( ~ ( r2 @ SV18 @ SY268 )
                  | ( SV84 @ SY268 ) ) )
        = $true )
      | ( ( ! [SY269: $i] :
              ( ~ ( r2 @ SV18 @ SY269 )
              | ~ ! [SY270: $i] :
                    ( ~ ( r2 @ SY269 @ SY270 )
                    | ( SV84 @ SY270 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(355,plain,
    ! [SV85: $i,SV19: $i] :
      ( ( ( ~ ( r5 @ SV19 @ SV85 ) )
        = $true )
      | ( ( physics_student @ mike @ SV85 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[289]) ).

thf(356,plain,
    ! [SV86: $i > $o,SV20: $i] :
      ( ( ( ~ ! [SY271: $i] :
                ( ~ ( r1 @ SV20 @ SY271 )
                | ( SV86 @ SY271 ) ) )
        = $true )
      | ( ( ! [SY272: $i] :
              ( ~ ( r2 @ SV20 @ SY272 )
              | ! [SY273: $i] :
                  ( ~ ( r1 @ SY272 @ SY273 )
                  | ( SV86 @ SY273 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[290]) ).

thf(357,plain,
    ! [SV87: $i > $o,SV21: $i] :
      ( ( ( ~ ! [SY274: $i] :
                ( ~ ( r4 @ SV21 @ SY274 )
                | ( SV87 @ SY274 ) ) )
        = $true )
      | ( ( ! [SY275: $i] :
              ( ~ ( r1 @ SV21 @ SY275 )
              | ( SV87 @ SY275 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(358,plain,
    ! [SV88: mu,SV138: $i,SV22: $i] :
      ( ( ~ ( r3 @ SV22 @ SV138 )
        | ~ ( maths_student @ SV88 @ SV138 )
        | ~ ! [SY393: $i] :
              ( ~ ( r1 @ SV138 @ SY393 )
              | ~ ( good_in_maths @ SV88 @ SY393 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[292]) ).

thf(359,plain,
    ! [SV89: $i > $o,SV23: $i] :
      ( ( ( ~ ! [SY278: $i] :
                ( ~ ( r1 @ SV23 @ SY278 )
                | ( SV89 @ SY278 ) ) )
        = $true )
      | ( ( ! [SY279: $i] :
              ( ~ ( r4 @ SV23 @ SY279 )
              | ! [SY280: $i] :
                  ( ~ ( r1 @ SY279 @ SY280 )
                  | ( SV89 @ SY280 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[293]) ).

thf(360,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ~ ! [SY281: $i] :
                ( ~ ( r4 @ SV24 @ SY281 )
                | ( SV90 @ SY281 ) ) )
        = $true )
      | ( ( ~ ! [SY282: $i] :
                ( ~ ( r4 @ SV24 @ SY282 )
                | ~ ( SV90 @ SY282 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[294]) ).

thf(361,plain,
    ! [SV91: $i > $o,SV25: $i] :
      ( ( ( ~ ~ ! [SY283: $i] :
                  ( ~ ( r4 @ SV25 @ SY283 )
                  | ( SV91 @ SY283 ) ) )
        = $true )
      | ( ( ! [SY284: $i] :
              ( ~ ( r4 @ SV25 @ SY284 )
              | ~ ! [SY285: $i] :
                    ( ~ ( r4 @ SY284 @ SY285 )
                    | ( SV91 @ SY285 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[295]) ).

thf(362,plain,
    ! [SV26: $i,SV92: mu] :
      ( ( ( ~ ( maths_teacher @ SV92 @ SV26 ) )
        = $true )
      | ( ( ! [SY286: $i] :
              ( ~ ( r4 @ SV26 @ SY286 )
              | ( good_in_maths @ SV92 @ SY286 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(363,plain,
    ! [SV93: $i > $o,SV27: $i] :
      ( ( ( ~ ! [SY287: $i] :
                ( ~ ( r5 @ SV27 @ SY287 )
                | ( SV93 @ SY287 ) ) )
        = $true )
      | ( ( ! [SY288: $i] :
              ( ~ ( r3 @ SV27 @ SY288 )
              | ! [SY289: $i] :
                  ( ~ ( r5 @ SY288 @ SY289 )
                  | ( SV93 @ SY289 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[297]) ).

thf(364,plain,
    ! [SV94: mu,SV139: $i,SV28: $i] :
      ( ( ~ ( r3 @ SV28 @ SV139 )
        | ~ ( physics_student @ SV94 @ SV139 )
        | ~ ! [SY394: $i] :
              ( ~ ( r1 @ SV139 @ SY394 )
              | ~ ( good_in_physics @ SV94 @ SY394 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[298]) ).

thf(365,plain,
    ! [SV95: $i > $o,SV29: $i] :
      ( ( ( ~ ! [SY292: $i] :
                ( ~ ( r3 @ SV29 @ SY292 )
                | ( SV95 @ SY292 ) ) )
        = $true )
      | ( ( ! [SY293: $i] :
              ( ~ ( r3 @ SV29 @ SY293 )
              | ! [SY294: $i] :
                  ( ~ ( r3 @ SY293 @ SY294 )
                  | ( SV95 @ SY294 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[299]) ).

thf(366,plain,
    ! [SV96: mu,SV140: $i,SV30: $i] :
      ( ( ~ ( r3 @ SV30 @ SV140 )
        | ~ ( maths_student @ SV96 @ SV140 )
        | ~ ! [SY395: $i] :
              ( ~ ( r3 @ SV140 @ SY395 )
              | ~ ( good_in_maths @ SV96 @ SY395 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[300]) ).

thf(367,plain,
    ! [SV97: $i > $o,SV31: $i] :
      ( ( ( ~ ! [SY297: $i] :
                ( ~ ( r2 @ SV31 @ SY297 )
                | ( SV97 @ SY297 ) ) )
        = $true )
      | ( ( ! [SY298: $i] :
              ( ~ ( r1 @ SV31 @ SY298 )
              | ( SV97 @ SY298 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[301]) ).

thf(368,plain,
    ! [SV98: $i > $o,SV32: $i] :
      ( ( ( ~ ! [SY299: $i] :
                ( ~ ( r4 @ SV32 @ SY299 )
                | ( SV98 @ SY299 ) ) )
        = $true )
      | ( ( ! [SY300: $i] :
              ( ~ ( r2 @ SV32 @ SY300 )
              | ( SV98 @ SY300 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(369,plain,
    ! [SV99: mu,SV141: $i,SV33: $i] :
      ( ( ~ ( r3 @ SV33 @ SV141 )
        | ~ ( maths_student @ SV99 @ SV141 )
        | ~ ! [SY396: $i] :
              ( ~ ( r4 @ SV141 @ SY396 )
              | ~ ( good_in_maths @ SV99 @ SY396 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[303]) ).

thf(370,plain,
    ! [SV100: $i,SV34: $i] :
      ( ( ( ~ ( r5 @ SV34 @ SV100 ) )
        = $true )
      | ( ( maths_student @ peter @ SV100 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[304]) ).

thf(371,plain,
    ! [SV101: $i > $o,SV35: $i] :
      ( ( ( ~ ~ ! [SY303: $i] :
                  ( ~ ( r3 @ SV35 @ SY303 )
                  | ( SV101 @ SY303 ) ) )
        = $true )
      | ( ( ! [SY304: $i] :
              ( ~ ( r3 @ SV35 @ SY304 )
              | ~ ! [SY305: $i] :
                    ( ~ ( r3 @ SY304 @ SY305 )
                    | ( SV101 @ SY305 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[305]) ).

thf(372,plain,
    ! [SV102: mu,SV142: $i,SV36: $i] :
      ( ( ~ ( r3 @ SV36 @ SV142 )
        | ~ ( physics_student @ SV102 @ SV142 )
        | ~ ! [SY397: $i] :
              ( ~ ( r2 @ SV142 @ SY397 )
              | ~ ( good_in_physics @ SV102 @ SY397 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[306]) ).

thf(373,plain,
    ! [SV103: $i > $o,SV37: $i] :
      ( ( ( ~ ! [SY308: $i] :
                ( ~ ( r2 @ SV37 @ SY308 )
                | ( SV103 @ SY308 ) ) )
        = $true )
      | ( ( ! [SY309: $i] :
              ( ~ ( r1 @ SV37 @ SY309 )
              | ! [SY310: $i] :
                  ( ~ ( r2 @ SY309 @ SY310 )
                  | ( SV103 @ SY310 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[307]) ).

thf(374,plain,
    ! [SV104: $i > $o,SV38: $i] :
      ( ( ( ~ ! [SY311: $i] :
                ( ~ ( r1 @ SV38 @ SY311 )
                | ( SV104 @ SY311 ) ) )
        = $true )
      | ( ( ! [SY312: $i] :
              ( ~ ( r1 @ SV38 @ SY312 )
              | ! [SY313: $i] :
                  ( ~ ( r1 @ SY312 @ SY313 )
                  | ( SV104 @ SY313 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(375,plain,
    ! [SV105: $i > $o,SV39: $i] :
      ( ( ( ~ ! [SY314: $i] :
                ( ~ ( r5 @ SV39 @ SY314 )
                | ( SV105 @ SY314 ) ) )
        = $true )
      | ( ( ! [SY315: $i] :
              ( ~ ( r5 @ SV39 @ SY315 )
              | ! [SY316: $i] :
                  ( ~ ( r5 @ SY315 @ SY316 )
                  | ( SV105 @ SY316 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[309]) ).

thf(376,plain,
    ! [SV106: $i > $o,SV40: $i] :
      ( ( ( ~ ! [SY317: $i] :
                ( ~ ( r1 @ SV40 @ SY317 )
                | ( SV106 @ SY317 ) ) )
        = $true )
      | ( ( ! [SY318: $i] :
              ( ~ ( r3 @ SV40 @ SY318 )
              | ! [SY319: $i] :
                  ( ~ ( r1 @ SY318 @ SY319 )
                  | ( SV106 @ SY319 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(377,plain,
    ! [SV107: $i > $o,SV41: $i] :
      ( ( ( ~ ! [SY320: $i] :
                ( ~ ( r5 @ SV41 @ SY320 )
                | ( SV107 @ SY320 ) ) )
        = $true )
      | ( ( ! [SY321: $i] :
              ( ~ ( r4 @ SV41 @ SY321 )
              | ! [SY322: $i] :
                  ( ~ ( r5 @ SY321 @ SY322 )
                  | ( SV107 @ SY322 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[311]) ).

thf(378,plain,
    ! [SV108: $i > $o,SV42: $i] :
      ( ( ( ~ ! [SY323: $i] :
                ( ~ ( r5 @ SV42 @ SY323 )
                | ( SV108 @ SY323 ) ) )
        = $true )
      | ( ( ! [SY324: $i] :
              ( ~ ( r1 @ SV42 @ SY324 )
              | ! [SY325: $i] :
                  ( ~ ( r5 @ SY324 @ SY325 )
                  | ( SV108 @ SY325 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[312]) ).

thf(379,plain,
    ! [SV109: $i,SV43: $i] :
      ( ( ( ~ ( r2 @ SV43 @ SV109 ) )
        = $true )
      | ( ( mathematician @ tom @ SV109 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[313]) ).

thf(380,plain,
    ( ( ! [SY326: mu] :
          ~ ! [SY327: $i] :
              ( ~ ( r4 @ sK1_SX0 @ SY327 )
              | ( good_in_maths @ SY326 @ SY327 ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[314]) ).

thf(381,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ~ ! [SY328: $i] :
                ( ~ ( r2 @ SV44 @ SY328 )
                | ( SV110 @ SY328 ) ) )
        = $true )
      | ( ( ~ ! [SY329: $i] :
                ( ~ ( r2 @ SV44 @ SY329 )
                | ~ ( SV110 @ SY329 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[315]) ).

thf(382,plain,
    ! [SV111: $i > $o,SV45: $i] :
      ( ( ( ~ ! [SY330: $i] :
                ( ~ ( r3 @ SV45 @ SY330 )
                | ( SV111 @ SY330 ) ) )
        = $true )
      | ( ( ! [SY331: $i] :
              ( ~ ( r4 @ SV45 @ SY331 )
              | ! [SY332: $i] :
                  ( ~ ( r3 @ SY331 @ SY332 )
                  | ( SV111 @ SY332 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(383,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ~ ! [SY333: $i] :
                ( ~ ( r3 @ SV46 @ SY333 )
                | ( SV112 @ SY333 ) ) )
        = $true )
      | ( ( ~ ! [SY334: $i] :
                ( ~ ( r3 @ SV46 @ SY334 )
                | ~ ( SV112 @ SY334 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[317]) ).

thf(384,plain,
    ! [SV113: mu,SV143: $i,SV47: $i] :
      ( ( ~ ( r5 @ SV47 @ SV143 )
        | ~ ! [SY398: $i] :
              ( ~ ( r2 @ SV143 @ SY398 )
              | ( mathematician @ SV113 @ SY398 ) )
        | ! [SY399: $i] :
            ( ~ ( r2 @ SV143 @ SY399 )
            | ( good_in_maths @ SV113 @ SY399 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[318]) ).

thf(385,plain,
    ! [SV114: $i > $o,SV48: $i] :
      ( ( ( ~ ! [SY338: $i] :
                ( ~ ( r3 @ SV48 @ SY338 )
                | ( SV114 @ SY338 ) ) )
        = $true )
      | ( ( ! [SY339: $i] :
              ( ~ ( r5 @ SV48 @ SY339 )
              | ! [SY340: $i] :
                  ( ~ ( r3 @ SY339 @ SY340 )
                  | ( SV114 @ SY340 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[319]) ).

thf(386,plain,
    ! [SV115: $i > $o,SV49: $i] :
      ( ( ( ~ ! [SY341: $i] :
                ( ~ ( r5 @ SV49 @ SY341 )
                | ( SV115 @ SY341 ) ) )
        = $true )
      | ( ( ! [SY342: $i] :
              ( ~ ( r2 @ SV49 @ SY342 )
              | ! [SY343: $i] :
                  ( ~ ( r5 @ SY342 @ SY343 )
                  | ( SV115 @ SY343 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(387,plain,
    ! [SV116: mu,SV144: $i,SV50: $i] :
      ( ( ~ ( r3 @ SV50 @ SV144 )
        | ~ ( physics_student @ SV116 @ SV144 )
        | ~ ! [SY400: $i] :
              ( ~ ( r4 @ SV144 @ SY400 )
              | ~ ( good_in_physics @ SV116 @ SY400 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[321]) ).

thf(388,plain,
    ! [SV117: $i > $o,SV52: $i] :
      ( ( ( ~ ! [SY346: $i] :
                ( ~ ( r3 @ SV52 @ SY346 )
                | ( SV117 @ SY346 ) ) )
        = $true )
      | ( ( ! [SY347: $i] :
              ( ~ ( r2 @ SV52 @ SY347 )
              | ! [SY348: $i] :
                  ( ~ ( r3 @ SY347 @ SY348 )
                  | ( SV117 @ SY348 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(389,plain,
    ! [SV118: $i > $o,SV53: $i] :
      ( ( ( ~ ! [SY349: $i] :
                ( ~ ( r4 @ SV53 @ SY349 )
                | ( SV118 @ SY349 ) ) )
        = $true )
      | ( ( ! [SY350: $i] :
              ( ~ ( r5 @ SV53 @ SY350 )
              | ! [SY351: $i] :
                  ( ~ ( r4 @ SY350 @ SY351 )
                  | ( SV118 @ SY351 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[323]) ).

thf(390,plain,
    ! [SV119: $i > $o,SV54: $i] :
      ( ( ( ~ ~ ! [SY352: $i] :
                  ( ~ ( r5 @ SV54 @ SY352 )
                  | ( SV119 @ SY352 ) ) )
        = $true )
      | ( ( ! [SY353: $i] :
              ( ~ ( r5 @ SV54 @ SY353 )
              | ~ ! [SY354: $i] :
                    ( ~ ( r5 @ SY353 @ SY354 )
                    | ( SV119 @ SY354 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(391,plain,
    ! [SV120: $i > $o,SV55: $i] :
      ( ( ( ~ ! [SY355: $i] :
                ( ~ ( r5 @ SV55 @ SY355 )
                | ( SV120 @ SY355 ) ) )
        = $true )
      | ( ( ! [SY356: $i] :
              ( ~ ( r4 @ SV55 @ SY356 )
              | ( SV120 @ SY356 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[325]) ).

thf(392,plain,
    ! [SV121: $i > $o,SV56: $i] :
      ( ( ( ~ ! [SY357: $i] :
                ( ~ ( r3 @ SV56 @ SY357 )
                | ( SV121 @ SY357 ) ) )
        = $true )
      | ( ( ! [SY358: $i] :
              ( ~ ( r2 @ SV56 @ SY358 )
              | ( SV121 @ SY358 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[326]) ).

thf(393,plain,
    ! [SV122: mu,SV145: $i,SV57: $i] :
      ( ( ~ ( r3 @ SV57 @ SV145 )
        | ~ ( physics_student @ SV122 @ SV145 )
        | ~ ! [SY401: $i] :
              ( ~ ( r5 @ SV145 @ SY401 )
              | ~ ( good_in_physics @ SV122 @ SY401 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[327]) ).

thf(394,plain,
    ! [SV123: $i > $o,SV58: $i] :
      ( ( ( ~ ! [SY361: $i] :
                ( ~ ( r4 @ SV58 @ SY361 )
                | ( SV123 @ SY361 ) ) )
        = $true )
      | ( ( ! [SY362: $i] :
              ( ~ ( r2 @ SV58 @ SY362 )
              | ! [SY363: $i] :
                  ( ~ ( r4 @ SY362 @ SY363 )
                  | ( SV123 @ SY363 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[328]) ).

thf(395,plain,
    ! [SV124: $i > $o,SV59: $i] :
      ( ( ( ~ ~ ! [SY364: $i] :
                  ( ~ ( r1 @ SV59 @ SY364 )
                  | ( SV124 @ SY364 ) ) )
        = $true )
      | ( ( ! [SY365: $i] :
              ( ~ ( r1 @ SV59 @ SY365 )
              | ~ ! [SY366: $i] :
                    ( ~ ( r1 @ SY365 @ SY366 )
                    | ( SV124 @ SY366 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[329]) ).

thf(396,plain,
    ! [SV125: mu,SV146: $i,SV60: $i] :
      ( ( ~ ( r3 @ SV60 @ SV146 )
        | ~ ( maths_student @ SV125 @ SV146 )
        | ~ ! [SY402: $i] :
              ( ~ ( r2 @ SV146 @ SY402 )
              | ~ ( good_in_maths @ SV125 @ SY402 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[330]) ).

thf(397,plain,
    ! [SV126: $i > $o,SV61: $i] :
      ( ( ( ~ ! [SY369: $i] :
                ( ~ ( r4 @ SV61 @ SY369 )
                | ( SV126 @ SY369 ) ) )
        = $true )
      | ( ( ! [SY370: $i] :
              ( ~ ( r4 @ SV61 @ SY370 )
              | ! [SY371: $i] :
                  ( ~ ( r4 @ SY370 @ SY371 )
                  | ( SV126 @ SY371 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[331]) ).

thf(398,plain,
    ! [SV127: $i > $o,SV62: $i] :
      ( ( ( ~ ! [SY372: $i] :
                ( ~ ( r4 @ SV62 @ SY372 )
                | ( SV127 @ SY372 ) ) )
        = $true )
      | ( ( ! [SY373: $i] :
              ( ~ ( r1 @ SV62 @ SY373 )
              | ! [SY374: $i] :
                  ( ~ ( r4 @ SY373 @ SY374 )
                  | ( SV127 @ SY374 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[332]) ).

thf(399,plain,
    ! [SV128: $i > $o,SV63: $i] :
      ( ( ( ~ ! [SY375: $i] :
                ( ~ ( r5 @ SV63 @ SY375 )
                | ( SV128 @ SY375 ) ) )
        = $true )
      | ( ( ! [SY376: $i] :
              ( ~ ( r2 @ SV63 @ SY376 )
              | ( SV128 @ SY376 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[333]) ).

thf(400,plain,
    ! [SV129: $i > $o,SV64: $i] :
      ( ( ( ~ ! [SY377: $i] :
                ( ~ ( r4 @ SV64 @ SY377 )
                | ( SV129 @ SY377 ) ) )
        = $true )
      | ( ( ! [SY378: $i] :
              ( ~ ( r3 @ SV64 @ SY378 )
              | ( SV129 @ SY378 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[334]) ).

thf(401,plain,
    ! [SV130: $i > $o,SV65: $i] :
      ( ( ( ~ ! [SY379: $i] :
                ( ~ ( r5 @ SV65 @ SY379 )
                | ( SV130 @ SY379 ) ) )
        = $true )
      | ( ( ! [SY380: $i] :
              ( ~ ( r3 @ SV65 @ SY380 )
              | ( SV130 @ SY380 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[335]) ).

thf(402,plain,
    ! [SV131: mu,SV147: $i,SV66: $i] :
      ( ( ~ ( r3 @ SV66 @ SV147 )
        | ~ ( maths_student @ SV131 @ SV147 )
        | ~ ! [SY403: $i] :
              ( ~ ( r5 @ SV147 @ SY403 )
              | ~ ( good_in_maths @ SV131 @ SY403 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[336]) ).

thf(403,plain,
    ! [SV67: mu,SV132: $i,SV1: $i] :
      ( ( ( ~ ( r2 @ SV1 @ SV132 ) )
        = $true )
      | ( ( ~ ( good_in_physics @ SV67 @ SV132 )
          | ~ ! [SY383: $i] :
                ( ~ ( r2 @ SV132 @ SY383 )
                | ~ ( good_in_maths @ SV67 @ SY383 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[337]) ).

thf(404,plain,
    ! [SV68: mu,SV133: $i,SV2: $i] :
      ( ( ( ~ ( r3 @ SV2 @ SV133 ) )
        = $true )
      | ( ( ~ ( physics_student @ SV68 @ SV133 )
          | ~ ! [SY384: $i] :
                ( ~ ( r3 @ SV133 @ SY384 )
                | ~ ( good_in_physics @ SV68 @ SY384 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[338]) ).

thf(405,plain,
    ! [SV69: $i > $o,SV3: $i] :
      ( ( ( ! [SY227: $i] :
              ( ~ ( r2 @ SV3 @ SY227 )
              | ( SV69 @ SY227 ) ) )
        = $false )
      | ( ( ! [SY228: $i] :
              ( ~ ( r5 @ SV3 @ SY228 )
              | ! [SY229: $i] :
                  ( ~ ( r2 @ SY228 @ SY229 )
                  | ( SV69 @ SY229 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(406,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ! [SY230: $i] :
              ( ~ ( r5 @ SV4 @ SY230 )
              | ( SV70 @ SY230 ) ) )
        = $false )
      | ( ( ~ ! [SY231: $i] :
                ( ~ ( r5 @ SV4 @ SY231 )
                | ~ ( SV70 @ SY231 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(407,plain,
    ! [SV71: $i > $o,SV5: $i] :
      ( ( ( ! [SY232: $i] :
              ( ~ ( r2 @ SV5 @ SY232 )
              | ( SV71 @ SY232 ) ) )
        = $false )
      | ( ( ! [SY233: $i] :
              ( ~ ( r4 @ SV5 @ SY233 )
              | ! [SY234: $i] :
                  ( ~ ( r2 @ SY233 @ SY234 )
                  | ( SV71 @ SY234 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[341]) ).

thf(408,plain,
    ! [SV72: $i > $o,SV6: $i] :
      ( ( ( ! [SY235: $i] :
              ( ~ ( r5 @ SV6 @ SY235 )
              | ( SV72 @ SY235 ) ) )
        = $false )
      | ( ( ! [SY236: $i] :
              ( ~ ( r1 @ SV6 @ SY236 )
              | ( SV72 @ SY236 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[342]) ).

thf(409,plain,
    ! [SV73: $i > $o,SV7: $i] :
      ( ( ( ! [SY237: $i] :
              ( ~ ( r3 @ SV7 @ SY237 )
              | ( SV73 @ SY237 ) ) )
        = $false )
      | ( ( ! [SY238: $i] :
              ( ~ ( r1 @ SV7 @ SY238 )
              | ( SV73 @ SY238 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(410,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ! [SY239: $i] :
              ( ~ ( r1 @ SV8 @ SY239 )
              | ( SV74 @ SY239 ) ) )
        = $false )
      | ( ( ~ ! [SY240: $i] :
                ( ~ ( r1 @ SV8 @ SY240 )
                | ~ ( SV74 @ SY240 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[344]) ).

thf(411,plain,
    ! [SV75: mu,SV134: $i,SV9: $i] :
      ( ( ( ~ ( r5 @ SV9 @ SV134 ) )
        = $true )
      | ( ( ~ ! [SY385: $i] :
                ( ~ ( r3 @ SV134 @ SY385 )
                | ( mathematician @ SV75 @ SY385 ) )
          | ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[345]) ).

thf(412,plain,
    ! [SV76: mu,SV135: $i,SV10: $i] :
      ( ( ( ~ ( r5 @ SV10 @ SV135 ) )
        = $true )
      | ( ( ~ ! [SY387: $i] :
                ( ~ ( r1 @ SV135 @ SY387 )
                | ( mathematician @ SV76 @ SY387 ) )
          | ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(413,plain,
    ! [SV77: $i > $o,SV11: $i] :
      ( ( ( ! [SY247: $i] :
              ( ~ ( r4 @ SV11 @ SY247 )
              | ( SV77 @ SY247 ) ) )
        = $false )
      | ( ( ! [SY248: $i] :
              ( ~ ( r3 @ SV11 @ SY248 )
              | ! [SY249: $i] :
                  ( ~ ( r4 @ SY248 @ SY249 )
                  | ( SV77 @ SY249 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(414,plain,
    ! [SV78: mu,SV136: $i,SV12: $i] :
      ( ( ( ~ ( r5 @ SV12 @ SV136 ) )
        = $true )
      | ( ( ~ ! [SY389: $i] :
                ( ~ ( r5 @ SV136 @ SY389 )
                | ( mathematician @ SV78 @ SY389 ) )
          | ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[348]) ).

thf(415,plain,
    ! [SV79: $i > $o,SV13: $i] :
      ( ( ( ! [SY253: $i] :
              ( ~ ( r2 @ SV13 @ SY253 )
              | ( SV79 @ SY253 ) ) )
        = $false )
      | ( ( ! [SY254: $i] :
              ( ~ ( r2 @ SV13 @ SY254 )
              | ! [SY255: $i] :
                  ( ~ ( r2 @ SY254 @ SY255 )
                  | ( SV79 @ SY255 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[349]) ).

thf(416,plain,
    ! [SV80: mu,SV137: $i,SV14: $i] :
      ( ( ( ~ ( r5 @ SV14 @ SV137 ) )
        = $true )
      | ( ( ~ ! [SY391: $i] :
                ( ~ ( r4 @ SV137 @ SY391 )
                | ( mathematician @ SV80 @ SY391 ) )
          | ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[350]) ).

thf(417,plain,
    ! [SV81: $i > $o,SV15: $i] :
      ( ( ( ! [SY259: $i] :
              ( ~ ( r2 @ SV15 @ SY259 )
              | ( SV81 @ SY259 ) ) )
        = $false )
      | ( ( ! [SY260: $i] :
              ( ~ ( r3 @ SV15 @ SY260 )
              | ! [SY261: $i] :
                  ( ~ ( r2 @ SY260 @ SY261 )
                  | ( SV81 @ SY261 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[351]) ).

thf(418,plain,
    ! [SV82: $i > $o,SV16: $i] :
      ( ( ( ! [SY262: $i] :
              ( ~ ( r3 @ SV16 @ SY262 )
              | ( SV82 @ SY262 ) ) )
        = $false )
      | ( ( ! [SY263: $i] :
              ( ~ ( r1 @ SV16 @ SY263 )
              | ! [SY264: $i] :
                  ( ~ ( r3 @ SY263 @ SY264 )
                  | ( SV82 @ SY264 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(419,plain,
    ! [SV83: $i > $o,SV17: $i] :
      ( ( ( ! [SY265: $i] :
              ( ~ ( r1 @ SV17 @ SY265 )
              | ( SV83 @ SY265 ) ) )
        = $false )
      | ( ( ! [SY266: $i] :
              ( ~ ( r5 @ SV17 @ SY266 )
              | ! [SY267: $i] :
                  ( ~ ( r1 @ SY266 @ SY267 )
                  | ( SV83 @ SY267 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(420,plain,
    ! [SV84: $i > $o,SV18: $i] :
      ( ( ( ~ ! [SY268: $i] :
                ( ~ ( r2 @ SV18 @ SY268 )
                | ( SV84 @ SY268 ) ) )
        = $false )
      | ( ( ! [SY269: $i] :
              ( ~ ( r2 @ SV18 @ SY269 )
              | ~ ! [SY270: $i] :
                    ( ~ ( r2 @ SY269 @ SY270 )
                    | ( SV84 @ SY270 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(421,plain,
    ! [SV85: $i,SV19: $i] :
      ( ( ( r5 @ SV19 @ SV85 )
        = $false )
      | ( ( physics_student @ mike @ SV85 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[355]) ).

thf(422,plain,
    ! [SV86: $i > $o,SV20: $i] :
      ( ( ( ! [SY271: $i] :
              ( ~ ( r1 @ SV20 @ SY271 )
              | ( SV86 @ SY271 ) ) )
        = $false )
      | ( ( ! [SY272: $i] :
              ( ~ ( r2 @ SV20 @ SY272 )
              | ! [SY273: $i] :
                  ( ~ ( r1 @ SY272 @ SY273 )
                  | ( SV86 @ SY273 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[356]) ).

thf(423,plain,
    ! [SV87: $i > $o,SV21: $i] :
      ( ( ( ! [SY274: $i] :
              ( ~ ( r4 @ SV21 @ SY274 )
              | ( SV87 @ SY274 ) ) )
        = $false )
      | ( ( ! [SY275: $i] :
              ( ~ ( r1 @ SV21 @ SY275 )
              | ( SV87 @ SY275 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[357]) ).

thf(424,plain,
    ! [SV88: mu,SV138: $i,SV22: $i] :
      ( ( ( ~ ( r3 @ SV22 @ SV138 ) )
        = $true )
      | ( ( ~ ( maths_student @ SV88 @ SV138 )
          | ~ ! [SY393: $i] :
                ( ~ ( r1 @ SV138 @ SY393 )
                | ~ ( good_in_maths @ SV88 @ SY393 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[358]) ).

thf(425,plain,
    ! [SV89: $i > $o,SV23: $i] :
      ( ( ( ! [SY278: $i] :
              ( ~ ( r1 @ SV23 @ SY278 )
              | ( SV89 @ SY278 ) ) )
        = $false )
      | ( ( ! [SY279: $i] :
              ( ~ ( r4 @ SV23 @ SY279 )
              | ! [SY280: $i] :
                  ( ~ ( r1 @ SY279 @ SY280 )
                  | ( SV89 @ SY280 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[359]) ).

thf(426,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ! [SY281: $i] :
              ( ~ ( r4 @ SV24 @ SY281 )
              | ( SV90 @ SY281 ) ) )
        = $false )
      | ( ( ~ ! [SY282: $i] :
                ( ~ ( r4 @ SV24 @ SY282 )
                | ~ ( SV90 @ SY282 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(427,plain,
    ! [SV91: $i > $o,SV25: $i] :
      ( ( ( ~ ! [SY283: $i] :
                ( ~ ( r4 @ SV25 @ SY283 )
                | ( SV91 @ SY283 ) ) )
        = $false )
      | ( ( ! [SY284: $i] :
              ( ~ ( r4 @ SV25 @ SY284 )
              | ~ ! [SY285: $i] :
                    ( ~ ( r4 @ SY284 @ SY285 )
                    | ( SV91 @ SY285 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(428,plain,
    ! [SV26: $i,SV92: mu] :
      ( ( ( maths_teacher @ SV92 @ SV26 )
        = $false )
      | ( ( ! [SY286: $i] :
              ( ~ ( r4 @ SV26 @ SY286 )
              | ( good_in_maths @ SV92 @ SY286 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[362]) ).

thf(429,plain,
    ! [SV93: $i > $o,SV27: $i] :
      ( ( ( ! [SY287: $i] :
              ( ~ ( r5 @ SV27 @ SY287 )
              | ( SV93 @ SY287 ) ) )
        = $false )
      | ( ( ! [SY288: $i] :
              ( ~ ( r3 @ SV27 @ SY288 )
              | ! [SY289: $i] :
                  ( ~ ( r5 @ SY288 @ SY289 )
                  | ( SV93 @ SY289 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[363]) ).

thf(430,plain,
    ! [SV94: mu,SV139: $i,SV28: $i] :
      ( ( ( ~ ( r3 @ SV28 @ SV139 ) )
        = $true )
      | ( ( ~ ( physics_student @ SV94 @ SV139 )
          | ~ ! [SY394: $i] :
                ( ~ ( r1 @ SV139 @ SY394 )
                | ~ ( good_in_physics @ SV94 @ SY394 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[364]) ).

thf(431,plain,
    ! [SV95: $i > $o,SV29: $i] :
      ( ( ( ! [SY292: $i] :
              ( ~ ( r3 @ SV29 @ SY292 )
              | ( SV95 @ SY292 ) ) )
        = $false )
      | ( ( ! [SY293: $i] :
              ( ~ ( r3 @ SV29 @ SY293 )
              | ! [SY294: $i] :
                  ( ~ ( r3 @ SY293 @ SY294 )
                  | ( SV95 @ SY294 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[365]) ).

thf(432,plain,
    ! [SV96: mu,SV140: $i,SV30: $i] :
      ( ( ( ~ ( r3 @ SV30 @ SV140 ) )
        = $true )
      | ( ( ~ ( maths_student @ SV96 @ SV140 )
          | ~ ! [SY395: $i] :
                ( ~ ( r3 @ SV140 @ SY395 )
                | ~ ( good_in_maths @ SV96 @ SY395 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[366]) ).

thf(433,plain,
    ! [SV97: $i > $o,SV31: $i] :
      ( ( ( ! [SY297: $i] :
              ( ~ ( r2 @ SV31 @ SY297 )
              | ( SV97 @ SY297 ) ) )
        = $false )
      | ( ( ! [SY298: $i] :
              ( ~ ( r1 @ SV31 @ SY298 )
              | ( SV97 @ SY298 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(434,plain,
    ! [SV98: $i > $o,SV32: $i] :
      ( ( ( ! [SY299: $i] :
              ( ~ ( r4 @ SV32 @ SY299 )
              | ( SV98 @ SY299 ) ) )
        = $false )
      | ( ( ! [SY300: $i] :
              ( ~ ( r2 @ SV32 @ SY300 )
              | ( SV98 @ SY300 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(435,plain,
    ! [SV99: mu,SV141: $i,SV33: $i] :
      ( ( ( ~ ( r3 @ SV33 @ SV141 ) )
        = $true )
      | ( ( ~ ( maths_student @ SV99 @ SV141 )
          | ~ ! [SY396: $i] :
                ( ~ ( r4 @ SV141 @ SY396 )
                | ~ ( good_in_maths @ SV99 @ SY396 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[369]) ).

thf(436,plain,
    ! [SV100: $i,SV34: $i] :
      ( ( ( r5 @ SV34 @ SV100 )
        = $false )
      | ( ( maths_student @ peter @ SV100 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[370]) ).

thf(437,plain,
    ! [SV101: $i > $o,SV35: $i] :
      ( ( ( ~ ! [SY303: $i] :
                ( ~ ( r3 @ SV35 @ SY303 )
                | ( SV101 @ SY303 ) ) )
        = $false )
      | ( ( ! [SY304: $i] :
              ( ~ ( r3 @ SV35 @ SY304 )
              | ~ ! [SY305: $i] :
                    ( ~ ( r3 @ SY304 @ SY305 )
                    | ( SV101 @ SY305 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[371]) ).

thf(438,plain,
    ! [SV102: mu,SV142: $i,SV36: $i] :
      ( ( ( ~ ( r3 @ SV36 @ SV142 ) )
        = $true )
      | ( ( ~ ( physics_student @ SV102 @ SV142 )
          | ~ ! [SY397: $i] :
                ( ~ ( r2 @ SV142 @ SY397 )
                | ~ ( good_in_physics @ SV102 @ SY397 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[372]) ).

thf(439,plain,
    ! [SV103: $i > $o,SV37: $i] :
      ( ( ( ! [SY308: $i] :
              ( ~ ( r2 @ SV37 @ SY308 )
              | ( SV103 @ SY308 ) ) )
        = $false )
      | ( ( ! [SY309: $i] :
              ( ~ ( r1 @ SV37 @ SY309 )
              | ! [SY310: $i] :
                  ( ~ ( r2 @ SY309 @ SY310 )
                  | ( SV103 @ SY310 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[373]) ).

thf(440,plain,
    ! [SV104: $i > $o,SV38: $i] :
      ( ( ( ! [SY311: $i] :
              ( ~ ( r1 @ SV38 @ SY311 )
              | ( SV104 @ SY311 ) ) )
        = $false )
      | ( ( ! [SY312: $i] :
              ( ~ ( r1 @ SV38 @ SY312 )
              | ! [SY313: $i] :
                  ( ~ ( r1 @ SY312 @ SY313 )
                  | ( SV104 @ SY313 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[374]) ).

thf(441,plain,
    ! [SV105: $i > $o,SV39: $i] :
      ( ( ( ! [SY314: $i] :
              ( ~ ( r5 @ SV39 @ SY314 )
              | ( SV105 @ SY314 ) ) )
        = $false )
      | ( ( ! [SY315: $i] :
              ( ~ ( r5 @ SV39 @ SY315 )
              | ! [SY316: $i] :
                  ( ~ ( r5 @ SY315 @ SY316 )
                  | ( SV105 @ SY316 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[375]) ).

thf(442,plain,
    ! [SV106: $i > $o,SV40: $i] :
      ( ( ( ! [SY317: $i] :
              ( ~ ( r1 @ SV40 @ SY317 )
              | ( SV106 @ SY317 ) ) )
        = $false )
      | ( ( ! [SY318: $i] :
              ( ~ ( r3 @ SV40 @ SY318 )
              | ! [SY319: $i] :
                  ( ~ ( r1 @ SY318 @ SY319 )
                  | ( SV106 @ SY319 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[376]) ).

thf(443,plain,
    ! [SV107: $i > $o,SV41: $i] :
      ( ( ( ! [SY320: $i] :
              ( ~ ( r5 @ SV41 @ SY320 )
              | ( SV107 @ SY320 ) ) )
        = $false )
      | ( ( ! [SY321: $i] :
              ( ~ ( r4 @ SV41 @ SY321 )
              | ! [SY322: $i] :
                  ( ~ ( r5 @ SY321 @ SY322 )
                  | ( SV107 @ SY322 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(444,plain,
    ! [SV108: $i > $o,SV42: $i] :
      ( ( ( ! [SY323: $i] :
              ( ~ ( r5 @ SV42 @ SY323 )
              | ( SV108 @ SY323 ) ) )
        = $false )
      | ( ( ! [SY324: $i] :
              ( ~ ( r1 @ SV42 @ SY324 )
              | ! [SY325: $i] :
                  ( ~ ( r5 @ SY324 @ SY325 )
                  | ( SV108 @ SY325 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[378]) ).

thf(445,plain,
    ! [SV109: $i,SV43: $i] :
      ( ( ( r2 @ SV43 @ SV109 )
        = $false )
      | ( ( mathematician @ tom @ SV109 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[379]) ).

thf(446,plain,
    ! [SV148: mu] :
      ( ( ~ ! [SY404: $i] :
              ( ~ ( r4 @ sK1_SX0 @ SY404 )
              | ( good_in_maths @ SV148 @ SY404 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[380]) ).

thf(447,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ! [SY328: $i] :
              ( ~ ( r2 @ SV44 @ SY328 )
              | ( SV110 @ SY328 ) ) )
        = $false )
      | ( ( ~ ! [SY329: $i] :
                ( ~ ( r2 @ SV44 @ SY329 )
                | ~ ( SV110 @ SY329 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[381]) ).

thf(448,plain,
    ! [SV111: $i > $o,SV45: $i] :
      ( ( ( ! [SY330: $i] :
              ( ~ ( r3 @ SV45 @ SY330 )
              | ( SV111 @ SY330 ) ) )
        = $false )
      | ( ( ! [SY331: $i] :
              ( ~ ( r4 @ SV45 @ SY331 )
              | ! [SY332: $i] :
                  ( ~ ( r3 @ SY331 @ SY332 )
                  | ( SV111 @ SY332 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(449,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ! [SY333: $i] :
              ( ~ ( r3 @ SV46 @ SY333 )
              | ( SV112 @ SY333 ) ) )
        = $false )
      | ( ( ~ ! [SY334: $i] :
                ( ~ ( r3 @ SV46 @ SY334 )
                | ~ ( SV112 @ SY334 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(450,plain,
    ! [SV113: mu,SV143: $i,SV47: $i] :
      ( ( ( ~ ( r5 @ SV47 @ SV143 ) )
        = $true )
      | ( ( ~ ! [SY398: $i] :
                ( ~ ( r2 @ SV143 @ SY398 )
                | ( mathematician @ SV113 @ SY398 ) )
          | ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[384]) ).

thf(451,plain,
    ! [SV114: $i > $o,SV48: $i] :
      ( ( ( ! [SY338: $i] :
              ( ~ ( r3 @ SV48 @ SY338 )
              | ( SV114 @ SY338 ) ) )
        = $false )
      | ( ( ! [SY339: $i] :
              ( ~ ( r5 @ SV48 @ SY339 )
              | ! [SY340: $i] :
                  ( ~ ( r3 @ SY339 @ SY340 )
                  | ( SV114 @ SY340 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[385]) ).

thf(452,plain,
    ! [SV115: $i > $o,SV49: $i] :
      ( ( ( ! [SY341: $i] :
              ( ~ ( r5 @ SV49 @ SY341 )
              | ( SV115 @ SY341 ) ) )
        = $false )
      | ( ( ! [SY342: $i] :
              ( ~ ( r2 @ SV49 @ SY342 )
              | ! [SY343: $i] :
                  ( ~ ( r5 @ SY342 @ SY343 )
                  | ( SV115 @ SY343 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(453,plain,
    ! [SV116: mu,SV144: $i,SV50: $i] :
      ( ( ( ~ ( r3 @ SV50 @ SV144 ) )
        = $true )
      | ( ( ~ ( physics_student @ SV116 @ SV144 )
          | ~ ! [SY400: $i] :
                ( ~ ( r4 @ SV144 @ SY400 )
                | ~ ( good_in_physics @ SV116 @ SY400 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[387]) ).

thf(454,plain,
    ! [SV117: $i > $o,SV52: $i] :
      ( ( ( ! [SY346: $i] :
              ( ~ ( r3 @ SV52 @ SY346 )
              | ( SV117 @ SY346 ) ) )
        = $false )
      | ( ( ! [SY347: $i] :
              ( ~ ( r2 @ SV52 @ SY347 )
              | ! [SY348: $i] :
                  ( ~ ( r3 @ SY347 @ SY348 )
                  | ( SV117 @ SY348 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(455,plain,
    ! [SV118: $i > $o,SV53: $i] :
      ( ( ( ! [SY349: $i] :
              ( ~ ( r4 @ SV53 @ SY349 )
              | ( SV118 @ SY349 ) ) )
        = $false )
      | ( ( ! [SY350: $i] :
              ( ~ ( r5 @ SV53 @ SY350 )
              | ! [SY351: $i] :
                  ( ~ ( r4 @ SY350 @ SY351 )
                  | ( SV118 @ SY351 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(456,plain,
    ! [SV119: $i > $o,SV54: $i] :
      ( ( ( ~ ! [SY352: $i] :
                ( ~ ( r5 @ SV54 @ SY352 )
                | ( SV119 @ SY352 ) ) )
        = $false )
      | ( ( ! [SY353: $i] :
              ( ~ ( r5 @ SV54 @ SY353 )
              | ~ ! [SY354: $i] :
                    ( ~ ( r5 @ SY353 @ SY354 )
                    | ( SV119 @ SY354 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[390]) ).

thf(457,plain,
    ! [SV120: $i > $o,SV55: $i] :
      ( ( ( ! [SY355: $i] :
              ( ~ ( r5 @ SV55 @ SY355 )
              | ( SV120 @ SY355 ) ) )
        = $false )
      | ( ( ! [SY356: $i] :
              ( ~ ( r4 @ SV55 @ SY356 )
              | ( SV120 @ SY356 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[391]) ).

thf(458,plain,
    ! [SV121: $i > $o,SV56: $i] :
      ( ( ( ! [SY357: $i] :
              ( ~ ( r3 @ SV56 @ SY357 )
              | ( SV121 @ SY357 ) ) )
        = $false )
      | ( ( ! [SY358: $i] :
              ( ~ ( r2 @ SV56 @ SY358 )
              | ( SV121 @ SY358 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(459,plain,
    ! [SV122: mu,SV145: $i,SV57: $i] :
      ( ( ( ~ ( r3 @ SV57 @ SV145 ) )
        = $true )
      | ( ( ~ ( physics_student @ SV122 @ SV145 )
          | ~ ! [SY401: $i] :
                ( ~ ( r5 @ SV145 @ SY401 )
                | ~ ( good_in_physics @ SV122 @ SY401 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[393]) ).

thf(460,plain,
    ! [SV123: $i > $o,SV58: $i] :
      ( ( ( ! [SY361: $i] :
              ( ~ ( r4 @ SV58 @ SY361 )
              | ( SV123 @ SY361 ) ) )
        = $false )
      | ( ( ! [SY362: $i] :
              ( ~ ( r2 @ SV58 @ SY362 )
              | ! [SY363: $i] :
                  ( ~ ( r4 @ SY362 @ SY363 )
                  | ( SV123 @ SY363 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(461,plain,
    ! [SV124: $i > $o,SV59: $i] :
      ( ( ( ~ ! [SY364: $i] :
                ( ~ ( r1 @ SV59 @ SY364 )
                | ( SV124 @ SY364 ) ) )
        = $false )
      | ( ( ! [SY365: $i] :
              ( ~ ( r1 @ SV59 @ SY365 )
              | ~ ! [SY366: $i] :
                    ( ~ ( r1 @ SY365 @ SY366 )
                    | ( SV124 @ SY366 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[395]) ).

thf(462,plain,
    ! [SV125: mu,SV146: $i,SV60: $i] :
      ( ( ( ~ ( r3 @ SV60 @ SV146 ) )
        = $true )
      | ( ( ~ ( maths_student @ SV125 @ SV146 )
          | ~ ! [SY402: $i] :
                ( ~ ( r2 @ SV146 @ SY402 )
                | ~ ( good_in_maths @ SV125 @ SY402 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[396]) ).

thf(463,plain,
    ! [SV126: $i > $o,SV61: $i] :
      ( ( ( ! [SY369: $i] :
              ( ~ ( r4 @ SV61 @ SY369 )
              | ( SV126 @ SY369 ) ) )
        = $false )
      | ( ( ! [SY370: $i] :
              ( ~ ( r4 @ SV61 @ SY370 )
              | ! [SY371: $i] :
                  ( ~ ( r4 @ SY370 @ SY371 )
                  | ( SV126 @ SY371 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[397]) ).

thf(464,plain,
    ! [SV127: $i > $o,SV62: $i] :
      ( ( ( ! [SY372: $i] :
              ( ~ ( r4 @ SV62 @ SY372 )
              | ( SV127 @ SY372 ) ) )
        = $false )
      | ( ( ! [SY373: $i] :
              ( ~ ( r1 @ SV62 @ SY373 )
              | ! [SY374: $i] :
                  ( ~ ( r4 @ SY373 @ SY374 )
                  | ( SV127 @ SY374 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[398]) ).

thf(465,plain,
    ! [SV128: $i > $o,SV63: $i] :
      ( ( ( ! [SY375: $i] :
              ( ~ ( r5 @ SV63 @ SY375 )
              | ( SV128 @ SY375 ) ) )
        = $false )
      | ( ( ! [SY376: $i] :
              ( ~ ( r2 @ SV63 @ SY376 )
              | ( SV128 @ SY376 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[399]) ).

thf(466,plain,
    ! [SV129: $i > $o,SV64: $i] :
      ( ( ( ! [SY377: $i] :
              ( ~ ( r4 @ SV64 @ SY377 )
              | ( SV129 @ SY377 ) ) )
        = $false )
      | ( ( ! [SY378: $i] :
              ( ~ ( r3 @ SV64 @ SY378 )
              | ( SV129 @ SY378 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[400]) ).

thf(467,plain,
    ! [SV130: $i > $o,SV65: $i] :
      ( ( ( ! [SY379: $i] :
              ( ~ ( r5 @ SV65 @ SY379 )
              | ( SV130 @ SY379 ) ) )
        = $false )
      | ( ( ! [SY380: $i] :
              ( ~ ( r3 @ SV65 @ SY380 )
              | ( SV130 @ SY380 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[401]) ).

thf(468,plain,
    ! [SV131: mu,SV147: $i,SV66: $i] :
      ( ( ( ~ ( r3 @ SV66 @ SV147 ) )
        = $true )
      | ( ( ~ ( maths_student @ SV131 @ SV147 )
          | ~ ! [SY403: $i] :
                ( ~ ( r5 @ SV147 @ SY403 )
                | ~ ( good_in_maths @ SV131 @ SY403 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[402]) ).

thf(469,plain,
    ! [SV67: mu,SV132: $i,SV1: $i] :
      ( ( ( r2 @ SV1 @ SV132 )
        = $false )
      | ( ( ~ ( good_in_physics @ SV67 @ SV132 )
          | ~ ! [SY383: $i] :
                ( ~ ( r2 @ SV132 @ SY383 )
                | ~ ( good_in_maths @ SV67 @ SY383 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[403]) ).

thf(470,plain,
    ! [SV68: mu,SV133: $i,SV2: $i] :
      ( ( ( r3 @ SV2 @ SV133 )
        = $false )
      | ( ( ~ ( physics_student @ SV68 @ SV133 )
          | ~ ! [SY384: $i] :
                ( ~ ( r3 @ SV133 @ SY384 )
                | ~ ( good_in_physics @ SV68 @ SY384 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(471,plain,
    ! [SV69: $i > $o,SV3: $i] :
      ( ( ( ~ ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
          | ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) ) )
        = $false )
      | ( ( ! [SY228: $i] :
              ( ~ ( r5 @ SV3 @ SY228 )
              | ! [SY229: $i] :
                  ( ~ ( r2 @ SY228 @ SY229 )
                  | ( SV69 @ SY229 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[405]) ).

thf(472,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ~ ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
          | ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( ~ ! [SY231: $i] :
                ( ~ ( r5 @ SV4 @ SY231 )
                | ~ ( SV70 @ SY231 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[406]) ).

thf(473,plain,
    ! [SV71: $i > $o,SV5: $i] :
      ( ( ( ~ ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
          | ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) ) )
        = $false )
      | ( ( ! [SY233: $i] :
              ( ~ ( r4 @ SV5 @ SY233 )
              | ! [SY234: $i] :
                  ( ~ ( r2 @ SY233 @ SY234 )
                  | ( SV71 @ SY234 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[407]) ).

thf(474,plain,
    ! [SV72: $i > $o,SV6: $i] :
      ( ( ( ~ ( r5 @ SV6 @ ( sK5_SY235 @ SV72 @ SV6 ) )
          | ( SV72 @ ( sK5_SY235 @ SV72 @ SV6 ) ) )
        = $false )
      | ( ( ! [SY236: $i] :
              ( ~ ( r1 @ SV6 @ SY236 )
              | ( SV72 @ SY236 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[408]) ).

thf(475,plain,
    ! [SV73: $i > $o,SV7: $i] :
      ( ( ( ~ ( r3 @ SV7 @ ( sK6_SY237 @ SV73 @ SV7 ) )
          | ( SV73 @ ( sK6_SY237 @ SV73 @ SV7 ) ) )
        = $false )
      | ( ( ! [SY238: $i] :
              ( ~ ( r1 @ SV7 @ SY238 )
              | ( SV73 @ SY238 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[409]) ).

thf(476,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ~ ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
          | ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( ~ ! [SY240: $i] :
                ( ~ ( r1 @ SV8 @ SY240 )
                | ~ ( SV74 @ SY240 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[410]) ).

thf(477,plain,
    ! [SV75: mu,SV134: $i,SV9: $i] :
      ( ( ( r5 @ SV9 @ SV134 )
        = $false )
      | ( ( ~ ! [SY385: $i] :
                ( ~ ( r3 @ SV134 @ SY385 )
                | ( mathematician @ SV75 @ SY385 ) )
          | ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[411]) ).

thf(478,plain,
    ! [SV76: mu,SV135: $i,SV10: $i] :
      ( ( ( r5 @ SV10 @ SV135 )
        = $false )
      | ( ( ~ ! [SY387: $i] :
                ( ~ ( r1 @ SV135 @ SY387 )
                | ( mathematician @ SV76 @ SY387 ) )
          | ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(479,plain,
    ! [SV77: $i > $o,SV11: $i] :
      ( ( ( ~ ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
          | ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) ) )
        = $false )
      | ( ( ! [SY248: $i] :
              ( ~ ( r3 @ SV11 @ SY248 )
              | ! [SY249: $i] :
                  ( ~ ( r4 @ SY248 @ SY249 )
                  | ( SV77 @ SY249 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[413]) ).

thf(480,plain,
    ! [SV78: mu,SV136: $i,SV12: $i] :
      ( ( ( r5 @ SV12 @ SV136 )
        = $false )
      | ( ( ~ ! [SY389: $i] :
                ( ~ ( r5 @ SV136 @ SY389 )
                | ( mathematician @ SV78 @ SY389 ) )
          | ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[414]) ).

thf(481,plain,
    ! [SV79: $i > $o,SV13: $i] :
      ( ( ( ~ ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
          | ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) ) )
        = $false )
      | ( ( ! [SY254: $i] :
              ( ~ ( r2 @ SV13 @ SY254 )
              | ! [SY255: $i] :
                  ( ~ ( r2 @ SY254 @ SY255 )
                  | ( SV79 @ SY255 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[415]) ).

thf(482,plain,
    ! [SV80: mu,SV137: $i,SV14: $i] :
      ( ( ( r5 @ SV14 @ SV137 )
        = $false )
      | ( ( ~ ! [SY391: $i] :
                ( ~ ( r4 @ SV137 @ SY391 )
                | ( mathematician @ SV80 @ SY391 ) )
          | ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(483,plain,
    ! [SV81: $i > $o,SV15: $i] :
      ( ( ( ~ ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
          | ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) ) )
        = $false )
      | ( ( ! [SY260: $i] :
              ( ~ ( r3 @ SV15 @ SY260 )
              | ! [SY261: $i] :
                  ( ~ ( r2 @ SY260 @ SY261 )
                  | ( SV81 @ SY261 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[417]) ).

thf(484,plain,
    ! [SV82: $i > $o,SV16: $i] :
      ( ( ( ~ ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
          | ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) ) )
        = $false )
      | ( ( ! [SY263: $i] :
              ( ~ ( r1 @ SV16 @ SY263 )
              | ! [SY264: $i] :
                  ( ~ ( r3 @ SY263 @ SY264 )
                  | ( SV82 @ SY264 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[418]) ).

thf(485,plain,
    ! [SV83: $i > $o,SV17: $i] :
      ( ( ( ~ ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
          | ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) ) )
        = $false )
      | ( ( ! [SY266: $i] :
              ( ~ ( r5 @ SV17 @ SY266 )
              | ! [SY267: $i] :
                  ( ~ ( r1 @ SY266 @ SY267 )
                  | ( SV83 @ SY267 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[419]) ).

thf(486,plain,
    ! [SV84: $i > $o,SV18: $i] :
      ( ( ( ! [SY268: $i] :
              ( ~ ( r2 @ SV18 @ SY268 )
              | ( SV84 @ SY268 ) ) )
        = $true )
      | ( ( ! [SY269: $i] :
              ( ~ ( r2 @ SV18 @ SY269 )
              | ~ ! [SY270: $i] :
                    ( ~ ( r2 @ SY269 @ SY270 )
                    | ( SV84 @ SY270 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[420]) ).

thf(487,plain,
    ! [SV86: $i > $o,SV20: $i] :
      ( ( ( ~ ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
          | ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) ) )
        = $false )
      | ( ( ! [SY272: $i] :
              ( ~ ( r2 @ SV20 @ SY272 )
              | ! [SY273: $i] :
                  ( ~ ( r1 @ SY272 @ SY273 )
                  | ( SV86 @ SY273 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[422]) ).

thf(488,plain,
    ! [SV87: $i > $o,SV21: $i] :
      ( ( ( ~ ( r4 @ SV21 @ ( sK14_SY274 @ SV87 @ SV21 ) )
          | ( SV87 @ ( sK14_SY274 @ SV87 @ SV21 ) ) )
        = $false )
      | ( ( ! [SY275: $i] :
              ( ~ ( r1 @ SV21 @ SY275 )
              | ( SV87 @ SY275 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[423]) ).

thf(489,plain,
    ! [SV88: mu,SV138: $i,SV22: $i] :
      ( ( ( r3 @ SV22 @ SV138 )
        = $false )
      | ( ( ~ ( maths_student @ SV88 @ SV138 )
          | ~ ! [SY393: $i] :
                ( ~ ( r1 @ SV138 @ SY393 )
                | ~ ( good_in_maths @ SV88 @ SY393 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[424]) ).

thf(490,plain,
    ! [SV89: $i > $o,SV23: $i] :
      ( ( ( ~ ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
          | ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) ) )
        = $false )
      | ( ( ! [SY279: $i] :
              ( ~ ( r4 @ SV23 @ SY279 )
              | ! [SY280: $i] :
                  ( ~ ( r1 @ SY279 @ SY280 )
                  | ( SV89 @ SY280 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[425]) ).

thf(491,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ~ ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
          | ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( ~ ! [SY282: $i] :
                ( ~ ( r4 @ SV24 @ SY282 )
                | ~ ( SV90 @ SY282 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[426]) ).

thf(492,plain,
    ! [SV91: $i > $o,SV25: $i] :
      ( ( ( ! [SY283: $i] :
              ( ~ ( r4 @ SV25 @ SY283 )
              | ( SV91 @ SY283 ) ) )
        = $true )
      | ( ( ! [SY284: $i] :
              ( ~ ( r4 @ SV25 @ SY284 )
              | ~ ! [SY285: $i] :
                    ( ~ ( r4 @ SY284 @ SY285 )
                    | ( SV91 @ SY285 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[427]) ).

thf(493,plain,
    ! [SV92: mu,SV149: $i,SV26: $i] :
      ( ( ( ~ ( r4 @ SV26 @ SV149 )
          | ( good_in_maths @ SV92 @ SV149 ) )
        = $true )
      | ( ( maths_teacher @ SV92 @ SV26 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[428]) ).

thf(494,plain,
    ! [SV93: $i > $o,SV27: $i] :
      ( ( ( ~ ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
          | ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) ) )
        = $false )
      | ( ( ! [SY288: $i] :
              ( ~ ( r3 @ SV27 @ SY288 )
              | ! [SY289: $i] :
                  ( ~ ( r5 @ SY288 @ SY289 )
                  | ( SV93 @ SY289 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[429]) ).

thf(495,plain,
    ! [SV94: mu,SV139: $i,SV28: $i] :
      ( ( ( r3 @ SV28 @ SV139 )
        = $false )
      | ( ( ~ ( physics_student @ SV94 @ SV139 )
          | ~ ! [SY394: $i] :
                ( ~ ( r1 @ SV139 @ SY394 )
                | ~ ( good_in_physics @ SV94 @ SY394 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(496,plain,
    ! [SV95: $i > $o,SV29: $i] :
      ( ( ( ~ ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
          | ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) ) )
        = $false )
      | ( ( ! [SY293: $i] :
              ( ~ ( r3 @ SV29 @ SY293 )
              | ! [SY294: $i] :
                  ( ~ ( r3 @ SY293 @ SY294 )
                  | ( SV95 @ SY294 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[431]) ).

thf(497,plain,
    ! [SV96: mu,SV140: $i,SV30: $i] :
      ( ( ( r3 @ SV30 @ SV140 )
        = $false )
      | ( ( ~ ( maths_student @ SV96 @ SV140 )
          | ~ ! [SY395: $i] :
                ( ~ ( r3 @ SV140 @ SY395 )
                | ~ ( good_in_maths @ SV96 @ SY395 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(498,plain,
    ! [SV97: $i > $o,SV31: $i] :
      ( ( ( ~ ( r2 @ SV31 @ ( sK19_SY297 @ SV97 @ SV31 ) )
          | ( SV97 @ ( sK19_SY297 @ SV97 @ SV31 ) ) )
        = $false )
      | ( ( ! [SY298: $i] :
              ( ~ ( r1 @ SV31 @ SY298 )
              | ( SV97 @ SY298 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[433]) ).

thf(499,plain,
    ! [SV98: $i > $o,SV32: $i] :
      ( ( ( ~ ( r4 @ SV32 @ ( sK20_SY299 @ SV98 @ SV32 ) )
          | ( SV98 @ ( sK20_SY299 @ SV98 @ SV32 ) ) )
        = $false )
      | ( ( ! [SY300: $i] :
              ( ~ ( r2 @ SV32 @ SY300 )
              | ( SV98 @ SY300 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[434]) ).

thf(500,plain,
    ! [SV99: mu,SV141: $i,SV33: $i] :
      ( ( ( r3 @ SV33 @ SV141 )
        = $false )
      | ( ( ~ ( maths_student @ SV99 @ SV141 )
          | ~ ! [SY396: $i] :
                ( ~ ( r4 @ SV141 @ SY396 )
                | ~ ( good_in_maths @ SV99 @ SY396 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[435]) ).

thf(501,plain,
    ! [SV101: $i > $o,SV35: $i] :
      ( ( ( ! [SY303: $i] :
              ( ~ ( r3 @ SV35 @ SY303 )
              | ( SV101 @ SY303 ) ) )
        = $true )
      | ( ( ! [SY304: $i] :
              ( ~ ( r3 @ SV35 @ SY304 )
              | ~ ! [SY305: $i] :
                    ( ~ ( r3 @ SY304 @ SY305 )
                    | ( SV101 @ SY305 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[437]) ).

thf(502,plain,
    ! [SV102: mu,SV142: $i,SV36: $i] :
      ( ( ( r3 @ SV36 @ SV142 )
        = $false )
      | ( ( ~ ( physics_student @ SV102 @ SV142 )
          | ~ ! [SY397: $i] :
                ( ~ ( r2 @ SV142 @ SY397 )
                | ~ ( good_in_physics @ SV102 @ SY397 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(503,plain,
    ! [SV103: $i > $o,SV37: $i] :
      ( ( ( ~ ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
          | ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) ) )
        = $false )
      | ( ( ! [SY309: $i] :
              ( ~ ( r1 @ SV37 @ SY309 )
              | ! [SY310: $i] :
                  ( ~ ( r2 @ SY309 @ SY310 )
                  | ( SV103 @ SY310 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[439]) ).

thf(504,plain,
    ! [SV104: $i > $o,SV38: $i] :
      ( ( ( ~ ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
          | ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) ) )
        = $false )
      | ( ( ! [SY312: $i] :
              ( ~ ( r1 @ SV38 @ SY312 )
              | ! [SY313: $i] :
                  ( ~ ( r1 @ SY312 @ SY313 )
                  | ( SV104 @ SY313 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[440]) ).

thf(505,plain,
    ! [SV105: $i > $o,SV39: $i] :
      ( ( ( ~ ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
          | ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) ) )
        = $false )
      | ( ( ! [SY315: $i] :
              ( ~ ( r5 @ SV39 @ SY315 )
              | ! [SY316: $i] :
                  ( ~ ( r5 @ SY315 @ SY316 )
                  | ( SV105 @ SY316 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[441]) ).

thf(506,plain,
    ! [SV106: $i > $o,SV40: $i] :
      ( ( ( ~ ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
          | ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) ) )
        = $false )
      | ( ( ! [SY318: $i] :
              ( ~ ( r3 @ SV40 @ SY318 )
              | ! [SY319: $i] :
                  ( ~ ( r1 @ SY318 @ SY319 )
                  | ( SV106 @ SY319 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[442]) ).

thf(507,plain,
    ! [SV107: $i > $o,SV41: $i] :
      ( ( ( ~ ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
          | ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) ) )
        = $false )
      | ( ( ! [SY321: $i] :
              ( ~ ( r4 @ SV41 @ SY321 )
              | ! [SY322: $i] :
                  ( ~ ( r5 @ SY321 @ SY322 )
                  | ( SV107 @ SY322 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[443]) ).

thf(508,plain,
    ! [SV108: $i > $o,SV42: $i] :
      ( ( ( ~ ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
          | ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) ) )
        = $false )
      | ( ( ! [SY324: $i] :
              ( ~ ( r1 @ SV42 @ SY324 )
              | ! [SY325: $i] :
                  ( ~ ( r5 @ SY324 @ SY325 )
                  | ( SV108 @ SY325 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[444]) ).

thf(509,plain,
    ! [SV148: mu] :
      ( ( ! [SY404: $i] :
            ( ~ ( r4 @ sK1_SX0 @ SY404 )
            | ( good_in_maths @ SV148 @ SY404 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(510,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ~ ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
          | ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( ~ ! [SY329: $i] :
                ( ~ ( r2 @ SV44 @ SY329 )
                | ~ ( SV110 @ SY329 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[447]) ).

thf(511,plain,
    ! [SV111: $i > $o,SV45: $i] :
      ( ( ( ~ ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
          | ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) ) )
        = $false )
      | ( ( ! [SY331: $i] :
              ( ~ ( r4 @ SV45 @ SY331 )
              | ! [SY332: $i] :
                  ( ~ ( r3 @ SY331 @ SY332 )
                  | ( SV111 @ SY332 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[448]) ).

thf(512,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ~ ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
          | ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( ~ ! [SY334: $i] :
                ( ~ ( r3 @ SV46 @ SY334 )
                | ~ ( SV112 @ SY334 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[449]) ).

thf(513,plain,
    ! [SV113: mu,SV143: $i,SV47: $i] :
      ( ( ( r5 @ SV47 @ SV143 )
        = $false )
      | ( ( ~ ! [SY398: $i] :
                ( ~ ( r2 @ SV143 @ SY398 )
                | ( mathematician @ SV113 @ SY398 ) )
          | ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[450]) ).

thf(514,plain,
    ! [SV114: $i > $o,SV48: $i] :
      ( ( ( ~ ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
          | ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) ) )
        = $false )
      | ( ( ! [SY339: $i] :
              ( ~ ( r5 @ SV48 @ SY339 )
              | ! [SY340: $i] :
                  ( ~ ( r3 @ SY339 @ SY340 )
                  | ( SV114 @ SY340 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[451]) ).

thf(515,plain,
    ! [SV115: $i > $o,SV49: $i] :
      ( ( ( ~ ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
          | ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) ) )
        = $false )
      | ( ( ! [SY342: $i] :
              ( ~ ( r2 @ SV49 @ SY342 )
              | ! [SY343: $i] :
                  ( ~ ( r5 @ SY342 @ SY343 )
                  | ( SV115 @ SY343 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[452]) ).

thf(516,plain,
    ! [SV116: mu,SV144: $i,SV50: $i] :
      ( ( ( r3 @ SV50 @ SV144 )
        = $false )
      | ( ( ~ ( physics_student @ SV116 @ SV144 )
          | ~ ! [SY400: $i] :
                ( ~ ( r4 @ SV144 @ SY400 )
                | ~ ( good_in_physics @ SV116 @ SY400 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[453]) ).

thf(517,plain,
    ! [SV117: $i > $o,SV52: $i] :
      ( ( ( ~ ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
          | ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) ) )
        = $false )
      | ( ( ! [SY347: $i] :
              ( ~ ( r2 @ SV52 @ SY347 )
              | ! [SY348: $i] :
                  ( ~ ( r3 @ SY347 @ SY348 )
                  | ( SV117 @ SY348 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[454]) ).

thf(518,plain,
    ! [SV118: $i > $o,SV53: $i] :
      ( ( ( ~ ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
          | ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) ) )
        = $false )
      | ( ( ! [SY350: $i] :
              ( ~ ( r5 @ SV53 @ SY350 )
              | ! [SY351: $i] :
                  ( ~ ( r4 @ SY350 @ SY351 )
                  | ( SV118 @ SY351 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[455]) ).

thf(519,plain,
    ! [SV119: $i > $o,SV54: $i] :
      ( ( ( ! [SY352: $i] :
              ( ~ ( r5 @ SV54 @ SY352 )
              | ( SV119 @ SY352 ) ) )
        = $true )
      | ( ( ! [SY353: $i] :
              ( ~ ( r5 @ SV54 @ SY353 )
              | ~ ! [SY354: $i] :
                    ( ~ ( r5 @ SY353 @ SY354 )
                    | ( SV119 @ SY354 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[456]) ).

thf(520,plain,
    ! [SV120: $i > $o,SV55: $i] :
      ( ( ( ~ ( r5 @ SV55 @ ( sK34_SY355 @ SV120 @ SV55 ) )
          | ( SV120 @ ( sK34_SY355 @ SV120 @ SV55 ) ) )
        = $false )
      | ( ( ! [SY356: $i] :
              ( ~ ( r4 @ SV55 @ SY356 )
              | ( SV120 @ SY356 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[457]) ).

thf(521,plain,
    ! [SV121: $i > $o,SV56: $i] :
      ( ( ( ~ ( r3 @ SV56 @ ( sK35_SY357 @ SV121 @ SV56 ) )
          | ( SV121 @ ( sK35_SY357 @ SV121 @ SV56 ) ) )
        = $false )
      | ( ( ! [SY358: $i] :
              ( ~ ( r2 @ SV56 @ SY358 )
              | ( SV121 @ SY358 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[458]) ).

thf(522,plain,
    ! [SV122: mu,SV145: $i,SV57: $i] :
      ( ( ( r3 @ SV57 @ SV145 )
        = $false )
      | ( ( ~ ( physics_student @ SV122 @ SV145 )
          | ~ ! [SY401: $i] :
                ( ~ ( r5 @ SV145 @ SY401 )
                | ~ ( good_in_physics @ SV122 @ SY401 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(523,plain,
    ! [SV123: $i > $o,SV58: $i] :
      ( ( ( ~ ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
          | ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) ) )
        = $false )
      | ( ( ! [SY362: $i] :
              ( ~ ( r2 @ SV58 @ SY362 )
              | ! [SY363: $i] :
                  ( ~ ( r4 @ SY362 @ SY363 )
                  | ( SV123 @ SY363 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[460]) ).

thf(524,plain,
    ! [SV124: $i > $o,SV59: $i] :
      ( ( ( ! [SY364: $i] :
              ( ~ ( r1 @ SV59 @ SY364 )
              | ( SV124 @ SY364 ) ) )
        = $true )
      | ( ( ! [SY365: $i] :
              ( ~ ( r1 @ SV59 @ SY365 )
              | ~ ! [SY366: $i] :
                    ( ~ ( r1 @ SY365 @ SY366 )
                    | ( SV124 @ SY366 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[461]) ).

thf(525,plain,
    ! [SV125: mu,SV146: $i,SV60: $i] :
      ( ( ( r3 @ SV60 @ SV146 )
        = $false )
      | ( ( ~ ( maths_student @ SV125 @ SV146 )
          | ~ ! [SY402: $i] :
                ( ~ ( r2 @ SV146 @ SY402 )
                | ~ ( good_in_maths @ SV125 @ SY402 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(526,plain,
    ! [SV126: $i > $o,SV61: $i] :
      ( ( ( ~ ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
          | ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) ) )
        = $false )
      | ( ( ! [SY370: $i] :
              ( ~ ( r4 @ SV61 @ SY370 )
              | ! [SY371: $i] :
                  ( ~ ( r4 @ SY370 @ SY371 )
                  | ( SV126 @ SY371 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[463]) ).

thf(527,plain,
    ! [SV127: $i > $o,SV62: $i] :
      ( ( ( ~ ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
          | ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) ) )
        = $false )
      | ( ( ! [SY373: $i] :
              ( ~ ( r1 @ SV62 @ SY373 )
              | ! [SY374: $i] :
                  ( ~ ( r4 @ SY373 @ SY374 )
                  | ( SV127 @ SY374 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[464]) ).

thf(528,plain,
    ! [SV128: $i > $o,SV63: $i] :
      ( ( ( ~ ( r5 @ SV63 @ ( sK39_SY375 @ SV128 @ SV63 ) )
          | ( SV128 @ ( sK39_SY375 @ SV128 @ SV63 ) ) )
        = $false )
      | ( ( ! [SY376: $i] :
              ( ~ ( r2 @ SV63 @ SY376 )
              | ( SV128 @ SY376 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[465]) ).

thf(529,plain,
    ! [SV129: $i > $o,SV64: $i] :
      ( ( ( ~ ( r4 @ SV64 @ ( sK40_SY377 @ SV129 @ SV64 ) )
          | ( SV129 @ ( sK40_SY377 @ SV129 @ SV64 ) ) )
        = $false )
      | ( ( ! [SY378: $i] :
              ( ~ ( r3 @ SV64 @ SY378 )
              | ( SV129 @ SY378 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[466]) ).

thf(530,plain,
    ! [SV130: $i > $o,SV65: $i] :
      ( ( ( ~ ( r5 @ SV65 @ ( sK41_SY379 @ SV130 @ SV65 ) )
          | ( SV130 @ ( sK41_SY379 @ SV130 @ SV65 ) ) )
        = $false )
      | ( ( ! [SY380: $i] :
              ( ~ ( r3 @ SV65 @ SY380 )
              | ( SV130 @ SY380 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[467]) ).

thf(531,plain,
    ! [SV131: mu,SV147: $i,SV66: $i] :
      ( ( ( r3 @ SV66 @ SV147 )
        = $false )
      | ( ( ~ ( maths_student @ SV131 @ SV147 )
          | ~ ! [SY403: $i] :
                ( ~ ( r5 @ SV147 @ SY403 )
                | ~ ( good_in_maths @ SV131 @ SY403 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(532,plain,
    ! [SV1: $i,SV132: $i,SV67: mu] :
      ( ( ( ~ ( good_in_physics @ SV67 @ SV132 ) )
        = $true )
      | ( ( ~ ! [SY383: $i] :
                ( ~ ( r2 @ SV132 @ SY383 )
                | ~ ( good_in_maths @ SV67 @ SY383 ) ) )
        = $true )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[469]) ).

thf(533,plain,
    ! [SV2: $i,SV133: $i,SV68: mu] :
      ( ( ( ~ ( physics_student @ SV68 @ SV133 ) )
        = $true )
      | ( ( ~ ! [SY384: $i] :
                ( ~ ( r3 @ SV133 @ SY384 )
                | ~ ( good_in_physics @ SV68 @ SY384 ) ) )
        = $true )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[470]) ).

thf(534,plain,
    ! [SV69: $i > $o,SV3: $i] :
      ( ( ( ~ ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) ) )
        = $false )
      | ( ( ! [SY228: $i] :
              ( ~ ( r5 @ SV3 @ SY228 )
              | ! [SY229: $i] :
                  ( ~ ( r2 @ SY228 @ SY229 )
                  | ( SV69 @ SY229 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(535,plain,
    ! [SV3: $i,SV69: $i > $o] :
      ( ( ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $false )
      | ( ( ! [SY228: $i] :
              ( ~ ( r5 @ SV3 @ SY228 )
              | ! [SY229: $i] :
                  ( ~ ( r2 @ SY228 @ SY229 )
                  | ( SV69 @ SY229 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[471]) ).

thf(536,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ~ ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( ~ ! [SY231: $i] :
                ( ~ ( r5 @ SV4 @ SY231 )
                | ~ ( SV70 @ SY231 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[472]) ).

thf(537,plain,
    ! [SV4: $i,SV70: $i > $o] :
      ( ( ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $false )
      | ( ( ~ ! [SY231: $i] :
                ( ~ ( r5 @ SV4 @ SY231 )
                | ~ ( SV70 @ SY231 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[472]) ).

thf(538,plain,
    ! [SV71: $i > $o,SV5: $i] :
      ( ( ( ~ ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) ) )
        = $false )
      | ( ( ! [SY233: $i] :
              ( ~ ( r4 @ SV5 @ SY233 )
              | ! [SY234: $i] :
                  ( ~ ( r2 @ SY233 @ SY234 )
                  | ( SV71 @ SY234 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[473]) ).

thf(539,plain,
    ! [SV5: $i,SV71: $i > $o] :
      ( ( ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $false )
      | ( ( ! [SY233: $i] :
              ( ~ ( r4 @ SV5 @ SY233 )
              | ! [SY234: $i] :
                  ( ~ ( r2 @ SY233 @ SY234 )
                  | ( SV71 @ SY234 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[473]) ).

thf(540,plain,
    ! [SV72: $i > $o,SV6: $i] :
      ( ( ( ~ ( r5 @ SV6 @ ( sK5_SY235 @ SV72 @ SV6 ) ) )
        = $false )
      | ( ( ! [SY236: $i] :
              ( ~ ( r1 @ SV6 @ SY236 )
              | ( SV72 @ SY236 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(541,plain,
    ! [SV6: $i,SV72: $i > $o] :
      ( ( ( SV72 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $false )
      | ( ( ! [SY236: $i] :
              ( ~ ( r1 @ SV6 @ SY236 )
              | ( SV72 @ SY236 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[474]) ).

thf(542,plain,
    ! [SV73: $i > $o,SV7: $i] :
      ( ( ( ~ ( r3 @ SV7 @ ( sK6_SY237 @ SV73 @ SV7 ) ) )
        = $false )
      | ( ( ! [SY238: $i] :
              ( ~ ( r1 @ SV7 @ SY238 )
              | ( SV73 @ SY238 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[475]) ).

thf(543,plain,
    ! [SV7: $i,SV73: $i > $o] :
      ( ( ( SV73 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $false )
      | ( ( ! [SY238: $i] :
              ( ~ ( r1 @ SV7 @ SY238 )
              | ( SV73 @ SY238 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[475]) ).

thf(544,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ~ ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( ~ ! [SY240: $i] :
                ( ~ ( r1 @ SV8 @ SY240 )
                | ~ ( SV74 @ SY240 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[476]) ).

thf(545,plain,
    ! [SV8: $i,SV74: $i > $o] :
      ( ( ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $false )
      | ( ( ~ ! [SY240: $i] :
                ( ~ ( r1 @ SV8 @ SY240 )
                | ~ ( SV74 @ SY240 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[476]) ).

thf(546,plain,
    ! [SV9: $i,SV75: mu,SV134: $i] :
      ( ( ( ~ ! [SY385: $i] :
                ( ~ ( r3 @ SV134 @ SY385 )
                | ( mathematician @ SV75 @ SY385 ) ) )
        = $true )
      | ( ( ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[477]) ).

thf(547,plain,
    ! [SV10: $i,SV76: mu,SV135: $i] :
      ( ( ( ~ ! [SY387: $i] :
                ( ~ ( r1 @ SV135 @ SY387 )
                | ( mathematician @ SV76 @ SY387 ) ) )
        = $true )
      | ( ( ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[478]) ).

thf(548,plain,
    ! [SV77: $i > $o,SV11: $i] :
      ( ( ( ~ ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) ) )
        = $false )
      | ( ( ! [SY248: $i] :
              ( ~ ( r3 @ SV11 @ SY248 )
              | ! [SY249: $i] :
                  ( ~ ( r4 @ SY248 @ SY249 )
                  | ( SV77 @ SY249 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[479]) ).

thf(549,plain,
    ! [SV11: $i,SV77: $i > $o] :
      ( ( ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $false )
      | ( ( ! [SY248: $i] :
              ( ~ ( r3 @ SV11 @ SY248 )
              | ! [SY249: $i] :
                  ( ~ ( r4 @ SY248 @ SY249 )
                  | ( SV77 @ SY249 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[479]) ).

thf(550,plain,
    ! [SV12: $i,SV78: mu,SV136: $i] :
      ( ( ( ~ ! [SY389: $i] :
                ( ~ ( r5 @ SV136 @ SY389 )
                | ( mathematician @ SV78 @ SY389 ) ) )
        = $true )
      | ( ( ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[480]) ).

thf(551,plain,
    ! [SV79: $i > $o,SV13: $i] :
      ( ( ( ~ ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) ) )
        = $false )
      | ( ( ! [SY254: $i] :
              ( ~ ( r2 @ SV13 @ SY254 )
              | ! [SY255: $i] :
                  ( ~ ( r2 @ SY254 @ SY255 )
                  | ( SV79 @ SY255 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[481]) ).

thf(552,plain,
    ! [SV13: $i,SV79: $i > $o] :
      ( ( ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $false )
      | ( ( ! [SY254: $i] :
              ( ~ ( r2 @ SV13 @ SY254 )
              | ! [SY255: $i] :
                  ( ~ ( r2 @ SY254 @ SY255 )
                  | ( SV79 @ SY255 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[481]) ).

thf(553,plain,
    ! [SV14: $i,SV80: mu,SV137: $i] :
      ( ( ( ~ ! [SY391: $i] :
                ( ~ ( r4 @ SV137 @ SY391 )
                | ( mathematician @ SV80 @ SY391 ) ) )
        = $true )
      | ( ( ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[482]) ).

thf(554,plain,
    ! [SV81: $i > $o,SV15: $i] :
      ( ( ( ~ ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) ) )
        = $false )
      | ( ( ! [SY260: $i] :
              ( ~ ( r3 @ SV15 @ SY260 )
              | ! [SY261: $i] :
                  ( ~ ( r2 @ SY260 @ SY261 )
                  | ( SV81 @ SY261 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[483]) ).

thf(555,plain,
    ! [SV15: $i,SV81: $i > $o] :
      ( ( ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $false )
      | ( ( ! [SY260: $i] :
              ( ~ ( r3 @ SV15 @ SY260 )
              | ! [SY261: $i] :
                  ( ~ ( r2 @ SY260 @ SY261 )
                  | ( SV81 @ SY261 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[483]) ).

thf(556,plain,
    ! [SV82: $i > $o,SV16: $i] :
      ( ( ( ~ ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) ) )
        = $false )
      | ( ( ! [SY263: $i] :
              ( ~ ( r1 @ SV16 @ SY263 )
              | ! [SY264: $i] :
                  ( ~ ( r3 @ SY263 @ SY264 )
                  | ( SV82 @ SY264 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[484]) ).

thf(557,plain,
    ! [SV16: $i,SV82: $i > $o] :
      ( ( ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $false )
      | ( ( ! [SY263: $i] :
              ( ~ ( r1 @ SV16 @ SY263 )
              | ! [SY264: $i] :
                  ( ~ ( r3 @ SY263 @ SY264 )
                  | ( SV82 @ SY264 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[484]) ).

thf(558,plain,
    ! [SV83: $i > $o,SV17: $i] :
      ( ( ( ~ ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) ) )
        = $false )
      | ( ( ! [SY266: $i] :
              ( ~ ( r5 @ SV17 @ SY266 )
              | ! [SY267: $i] :
                  ( ~ ( r1 @ SY266 @ SY267 )
                  | ( SV83 @ SY267 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[485]) ).

thf(559,plain,
    ! [SV17: $i,SV83: $i > $o] :
      ( ( ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $false )
      | ( ( ! [SY266: $i] :
              ( ~ ( r5 @ SV17 @ SY266 )
              | ! [SY267: $i] :
                  ( ~ ( r1 @ SY266 @ SY267 )
                  | ( SV83 @ SY267 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[485]) ).

thf(560,plain,
    ! [SV84: $i > $o,SV150: $i,SV18: $i] :
      ( ( ( ~ ( r2 @ SV18 @ SV150 )
          | ( SV84 @ SV150 ) )
        = $true )
      | ( ( ! [SY269: $i] :
              ( ~ ( r2 @ SV18 @ SY269 )
              | ~ ! [SY270: $i] :
                    ( ~ ( r2 @ SY269 @ SY270 )
                    | ( SV84 @ SY270 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[486]) ).

thf(561,plain,
    ! [SV86: $i > $o,SV20: $i] :
      ( ( ( ~ ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) ) )
        = $false )
      | ( ( ! [SY272: $i] :
              ( ~ ( r2 @ SV20 @ SY272 )
              | ! [SY273: $i] :
                  ( ~ ( r1 @ SY272 @ SY273 )
                  | ( SV86 @ SY273 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[487]) ).

thf(562,plain,
    ! [SV20: $i,SV86: $i > $o] :
      ( ( ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $false )
      | ( ( ! [SY272: $i] :
              ( ~ ( r2 @ SV20 @ SY272 )
              | ! [SY273: $i] :
                  ( ~ ( r1 @ SY272 @ SY273 )
                  | ( SV86 @ SY273 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[487]) ).

thf(563,plain,
    ! [SV87: $i > $o,SV21: $i] :
      ( ( ( ~ ( r4 @ SV21 @ ( sK14_SY274 @ SV87 @ SV21 ) ) )
        = $false )
      | ( ( ! [SY275: $i] :
              ( ~ ( r1 @ SV21 @ SY275 )
              | ( SV87 @ SY275 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[488]) ).

thf(564,plain,
    ! [SV21: $i,SV87: $i > $o] :
      ( ( ( SV87 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $false )
      | ( ( ! [SY275: $i] :
              ( ~ ( r1 @ SV21 @ SY275 )
              | ( SV87 @ SY275 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[488]) ).

thf(565,plain,
    ! [SV22: $i,SV138: $i,SV88: mu] :
      ( ( ( ~ ( maths_student @ SV88 @ SV138 ) )
        = $true )
      | ( ( ~ ! [SY393: $i] :
                ( ~ ( r1 @ SV138 @ SY393 )
                | ~ ( good_in_maths @ SV88 @ SY393 ) ) )
        = $true )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[489]) ).

thf(566,plain,
    ! [SV89: $i > $o,SV23: $i] :
      ( ( ( ~ ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) ) )
        = $false )
      | ( ( ! [SY279: $i] :
              ( ~ ( r4 @ SV23 @ SY279 )
              | ! [SY280: $i] :
                  ( ~ ( r1 @ SY279 @ SY280 )
                  | ( SV89 @ SY280 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[490]) ).

thf(567,plain,
    ! [SV23: $i,SV89: $i > $o] :
      ( ( ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $false )
      | ( ( ! [SY279: $i] :
              ( ~ ( r4 @ SV23 @ SY279 )
              | ! [SY280: $i] :
                  ( ~ ( r1 @ SY279 @ SY280 )
                  | ( SV89 @ SY280 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[490]) ).

thf(568,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ~ ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( ~ ! [SY282: $i] :
                ( ~ ( r4 @ SV24 @ SY282 )
                | ~ ( SV90 @ SY282 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[491]) ).

thf(569,plain,
    ! [SV24: $i,SV90: $i > $o] :
      ( ( ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $false )
      | ( ( ~ ! [SY282: $i] :
                ( ~ ( r4 @ SV24 @ SY282 )
                | ~ ( SV90 @ SY282 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[491]) ).

thf(570,plain,
    ! [SV91: $i > $o,SV151: $i,SV25: $i] :
      ( ( ( ~ ( r4 @ SV25 @ SV151 )
          | ( SV91 @ SV151 ) )
        = $true )
      | ( ( ! [SY284: $i] :
              ( ~ ( r4 @ SV25 @ SY284 )
              | ~ ! [SY285: $i] :
                    ( ~ ( r4 @ SY284 @ SY285 )
                    | ( SV91 @ SY285 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[492]) ).

thf(571,plain,
    ! [SV92: mu,SV149: $i,SV26: $i] :
      ( ( ( ~ ( r4 @ SV26 @ SV149 ) )
        = $true )
      | ( ( good_in_maths @ SV92 @ SV149 )
        = $true )
      | ( ( maths_teacher @ SV92 @ SV26 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[493]) ).

thf(572,plain,
    ! [SV93: $i > $o,SV27: $i] :
      ( ( ( ~ ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) ) )
        = $false )
      | ( ( ! [SY288: $i] :
              ( ~ ( r3 @ SV27 @ SY288 )
              | ! [SY289: $i] :
                  ( ~ ( r5 @ SY288 @ SY289 )
                  | ( SV93 @ SY289 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[494]) ).

thf(573,plain,
    ! [SV27: $i,SV93: $i > $o] :
      ( ( ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $false )
      | ( ( ! [SY288: $i] :
              ( ~ ( r3 @ SV27 @ SY288 )
              | ! [SY289: $i] :
                  ( ~ ( r5 @ SY288 @ SY289 )
                  | ( SV93 @ SY289 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[494]) ).

thf(574,plain,
    ! [SV28: $i,SV139: $i,SV94: mu] :
      ( ( ( ~ ( physics_student @ SV94 @ SV139 ) )
        = $true )
      | ( ( ~ ! [SY394: $i] :
                ( ~ ( r1 @ SV139 @ SY394 )
                | ~ ( good_in_physics @ SV94 @ SY394 ) ) )
        = $true )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[495]) ).

thf(575,plain,
    ! [SV95: $i > $o,SV29: $i] :
      ( ( ( ~ ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) ) )
        = $false )
      | ( ( ! [SY293: $i] :
              ( ~ ( r3 @ SV29 @ SY293 )
              | ! [SY294: $i] :
                  ( ~ ( r3 @ SY293 @ SY294 )
                  | ( SV95 @ SY294 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[496]) ).

thf(576,plain,
    ! [SV29: $i,SV95: $i > $o] :
      ( ( ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $false )
      | ( ( ! [SY293: $i] :
              ( ~ ( r3 @ SV29 @ SY293 )
              | ! [SY294: $i] :
                  ( ~ ( r3 @ SY293 @ SY294 )
                  | ( SV95 @ SY294 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[496]) ).

thf(577,plain,
    ! [SV30: $i,SV140: $i,SV96: mu] :
      ( ( ( ~ ( maths_student @ SV96 @ SV140 ) )
        = $true )
      | ( ( ~ ! [SY395: $i] :
                ( ~ ( r3 @ SV140 @ SY395 )
                | ~ ( good_in_maths @ SV96 @ SY395 ) ) )
        = $true )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[497]) ).

thf(578,plain,
    ! [SV97: $i > $o,SV31: $i] :
      ( ( ( ~ ( r2 @ SV31 @ ( sK19_SY297 @ SV97 @ SV31 ) ) )
        = $false )
      | ( ( ! [SY298: $i] :
              ( ~ ( r1 @ SV31 @ SY298 )
              | ( SV97 @ SY298 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[498]) ).

thf(579,plain,
    ! [SV31: $i,SV97: $i > $o] :
      ( ( ( SV97 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $false )
      | ( ( ! [SY298: $i] :
              ( ~ ( r1 @ SV31 @ SY298 )
              | ( SV97 @ SY298 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[498]) ).

thf(580,plain,
    ! [SV98: $i > $o,SV32: $i] :
      ( ( ( ~ ( r4 @ SV32 @ ( sK20_SY299 @ SV98 @ SV32 ) ) )
        = $false )
      | ( ( ! [SY300: $i] :
              ( ~ ( r2 @ SV32 @ SY300 )
              | ( SV98 @ SY300 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[499]) ).

thf(581,plain,
    ! [SV32: $i,SV98: $i > $o] :
      ( ( ( SV98 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $false )
      | ( ( ! [SY300: $i] :
              ( ~ ( r2 @ SV32 @ SY300 )
              | ( SV98 @ SY300 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[499]) ).

thf(582,plain,
    ! [SV33: $i,SV141: $i,SV99: mu] :
      ( ( ( ~ ( maths_student @ SV99 @ SV141 ) )
        = $true )
      | ( ( ~ ! [SY396: $i] :
                ( ~ ( r4 @ SV141 @ SY396 )
                | ~ ( good_in_maths @ SV99 @ SY396 ) ) )
        = $true )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[500]) ).

thf(583,plain,
    ! [SV101: $i > $o,SV152: $i,SV35: $i] :
      ( ( ( ~ ( r3 @ SV35 @ SV152 )
          | ( SV101 @ SV152 ) )
        = $true )
      | ( ( ! [SY304: $i] :
              ( ~ ( r3 @ SV35 @ SY304 )
              | ~ ! [SY305: $i] :
                    ( ~ ( r3 @ SY304 @ SY305 )
                    | ( SV101 @ SY305 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[501]) ).

thf(584,plain,
    ! [SV36: $i,SV142: $i,SV102: mu] :
      ( ( ( ~ ( physics_student @ SV102 @ SV142 ) )
        = $true )
      | ( ( ~ ! [SY397: $i] :
                ( ~ ( r2 @ SV142 @ SY397 )
                | ~ ( good_in_physics @ SV102 @ SY397 ) ) )
        = $true )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[502]) ).

thf(585,plain,
    ! [SV103: $i > $o,SV37: $i] :
      ( ( ( ~ ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) ) )
        = $false )
      | ( ( ! [SY309: $i] :
              ( ~ ( r1 @ SV37 @ SY309 )
              | ! [SY310: $i] :
                  ( ~ ( r2 @ SY309 @ SY310 )
                  | ( SV103 @ SY310 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(586,plain,
    ! [SV37: $i,SV103: $i > $o] :
      ( ( ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $false )
      | ( ( ! [SY309: $i] :
              ( ~ ( r1 @ SV37 @ SY309 )
              | ! [SY310: $i] :
                  ( ~ ( r2 @ SY309 @ SY310 )
                  | ( SV103 @ SY310 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[503]) ).

thf(587,plain,
    ! [SV104: $i > $o,SV38: $i] :
      ( ( ( ~ ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) ) )
        = $false )
      | ( ( ! [SY312: $i] :
              ( ~ ( r1 @ SV38 @ SY312 )
              | ! [SY313: $i] :
                  ( ~ ( r1 @ SY312 @ SY313 )
                  | ( SV104 @ SY313 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(588,plain,
    ! [SV38: $i,SV104: $i > $o] :
      ( ( ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $false )
      | ( ( ! [SY312: $i] :
              ( ~ ( r1 @ SV38 @ SY312 )
              | ! [SY313: $i] :
                  ( ~ ( r1 @ SY312 @ SY313 )
                  | ( SV104 @ SY313 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[504]) ).

thf(589,plain,
    ! [SV105: $i > $o,SV39: $i] :
      ( ( ( ~ ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) ) )
        = $false )
      | ( ( ! [SY315: $i] :
              ( ~ ( r5 @ SV39 @ SY315 )
              | ! [SY316: $i] :
                  ( ~ ( r5 @ SY315 @ SY316 )
                  | ( SV105 @ SY316 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[505]) ).

thf(590,plain,
    ! [SV39: $i,SV105: $i > $o] :
      ( ( ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $false )
      | ( ( ! [SY315: $i] :
              ( ~ ( r5 @ SV39 @ SY315 )
              | ! [SY316: $i] :
                  ( ~ ( r5 @ SY315 @ SY316 )
                  | ( SV105 @ SY316 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[505]) ).

thf(591,plain,
    ! [SV106: $i > $o,SV40: $i] :
      ( ( ( ~ ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) ) )
        = $false )
      | ( ( ! [SY318: $i] :
              ( ~ ( r3 @ SV40 @ SY318 )
              | ! [SY319: $i] :
                  ( ~ ( r1 @ SY318 @ SY319 )
                  | ( SV106 @ SY319 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[506]) ).

thf(592,plain,
    ! [SV40: $i,SV106: $i > $o] :
      ( ( ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $false )
      | ( ( ! [SY318: $i] :
              ( ~ ( r3 @ SV40 @ SY318 )
              | ! [SY319: $i] :
                  ( ~ ( r1 @ SY318 @ SY319 )
                  | ( SV106 @ SY319 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[506]) ).

thf(593,plain,
    ! [SV107: $i > $o,SV41: $i] :
      ( ( ( ~ ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) ) )
        = $false )
      | ( ( ! [SY321: $i] :
              ( ~ ( r4 @ SV41 @ SY321 )
              | ! [SY322: $i] :
                  ( ~ ( r5 @ SY321 @ SY322 )
                  | ( SV107 @ SY322 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[507]) ).

thf(594,plain,
    ! [SV41: $i,SV107: $i > $o] :
      ( ( ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $false )
      | ( ( ! [SY321: $i] :
              ( ~ ( r4 @ SV41 @ SY321 )
              | ! [SY322: $i] :
                  ( ~ ( r5 @ SY321 @ SY322 )
                  | ( SV107 @ SY322 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[507]) ).

thf(595,plain,
    ! [SV108: $i > $o,SV42: $i] :
      ( ( ( ~ ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) ) )
        = $false )
      | ( ( ! [SY324: $i] :
              ( ~ ( r1 @ SV42 @ SY324 )
              | ! [SY325: $i] :
                  ( ~ ( r5 @ SY324 @ SY325 )
                  | ( SV108 @ SY325 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[508]) ).

thf(596,plain,
    ! [SV42: $i,SV108: $i > $o] :
      ( ( ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $false )
      | ( ( ! [SY324: $i] :
              ( ~ ( r1 @ SV42 @ SY324 )
              | ! [SY325: $i] :
                  ( ~ ( r5 @ SY324 @ SY325 )
                  | ( SV108 @ SY325 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[508]) ).

thf(597,plain,
    ! [SV148: mu] :
      ( ( ~ ( r4 @ sK1_SX0 @ ( sK42_SY404 @ SV148 ) )
        | ( good_in_maths @ SV148 @ ( sK42_SY404 @ SV148 ) ) )
      = $false ),
    inference(extcnf_forall_neg,[status(esa)],[509]) ).

thf(598,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ~ ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( ~ ! [SY329: $i] :
                ( ~ ( r2 @ SV44 @ SY329 )
                | ~ ( SV110 @ SY329 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[510]) ).

thf(599,plain,
    ! [SV44: $i,SV110: $i > $o] :
      ( ( ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $false )
      | ( ( ~ ! [SY329: $i] :
                ( ~ ( r2 @ SV44 @ SY329 )
                | ~ ( SV110 @ SY329 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[510]) ).

thf(600,plain,
    ! [SV111: $i > $o,SV45: $i] :
      ( ( ( ~ ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) ) )
        = $false )
      | ( ( ! [SY331: $i] :
              ( ~ ( r4 @ SV45 @ SY331 )
              | ! [SY332: $i] :
                  ( ~ ( r3 @ SY331 @ SY332 )
                  | ( SV111 @ SY332 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[511]) ).

thf(601,plain,
    ! [SV45: $i,SV111: $i > $o] :
      ( ( ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $false )
      | ( ( ! [SY331: $i] :
              ( ~ ( r4 @ SV45 @ SY331 )
              | ! [SY332: $i] :
                  ( ~ ( r3 @ SY331 @ SY332 )
                  | ( SV111 @ SY332 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[511]) ).

thf(602,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ~ ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( ~ ! [SY334: $i] :
                ( ~ ( r3 @ SV46 @ SY334 )
                | ~ ( SV112 @ SY334 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[512]) ).

thf(603,plain,
    ! [SV46: $i,SV112: $i > $o] :
      ( ( ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $false )
      | ( ( ~ ! [SY334: $i] :
                ( ~ ( r3 @ SV46 @ SY334 )
                | ~ ( SV112 @ SY334 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[512]) ).

thf(604,plain,
    ! [SV47: $i,SV113: mu,SV143: $i] :
      ( ( ( ~ ! [SY398: $i] :
                ( ~ ( r2 @ SV143 @ SY398 )
                | ( mathematician @ SV113 @ SY398 ) ) )
        = $true )
      | ( ( ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[513]) ).

thf(605,plain,
    ! [SV114: $i > $o,SV48: $i] :
      ( ( ( ~ ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) ) )
        = $false )
      | ( ( ! [SY339: $i] :
              ( ~ ( r5 @ SV48 @ SY339 )
              | ! [SY340: $i] :
                  ( ~ ( r3 @ SY339 @ SY340 )
                  | ( SV114 @ SY340 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[514]) ).

thf(606,plain,
    ! [SV48: $i,SV114: $i > $o] :
      ( ( ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $false )
      | ( ( ! [SY339: $i] :
              ( ~ ( r5 @ SV48 @ SY339 )
              | ! [SY340: $i] :
                  ( ~ ( r3 @ SY339 @ SY340 )
                  | ( SV114 @ SY340 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[514]) ).

thf(607,plain,
    ! [SV115: $i > $o,SV49: $i] :
      ( ( ( ~ ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) ) )
        = $false )
      | ( ( ! [SY342: $i] :
              ( ~ ( r2 @ SV49 @ SY342 )
              | ! [SY343: $i] :
                  ( ~ ( r5 @ SY342 @ SY343 )
                  | ( SV115 @ SY343 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[515]) ).

thf(608,plain,
    ! [SV49: $i,SV115: $i > $o] :
      ( ( ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $false )
      | ( ( ! [SY342: $i] :
              ( ~ ( r2 @ SV49 @ SY342 )
              | ! [SY343: $i] :
                  ( ~ ( r5 @ SY342 @ SY343 )
                  | ( SV115 @ SY343 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[515]) ).

thf(609,plain,
    ! [SV50: $i,SV144: $i,SV116: mu] :
      ( ( ( ~ ( physics_student @ SV116 @ SV144 ) )
        = $true )
      | ( ( ~ ! [SY400: $i] :
                ( ~ ( r4 @ SV144 @ SY400 )
                | ~ ( good_in_physics @ SV116 @ SY400 ) ) )
        = $true )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[516]) ).

thf(610,plain,
    ! [SV117: $i > $o,SV52: $i] :
      ( ( ( ~ ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) ) )
        = $false )
      | ( ( ! [SY347: $i] :
              ( ~ ( r2 @ SV52 @ SY347 )
              | ! [SY348: $i] :
                  ( ~ ( r3 @ SY347 @ SY348 )
                  | ( SV117 @ SY348 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[517]) ).

thf(611,plain,
    ! [SV52: $i,SV117: $i > $o] :
      ( ( ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $false )
      | ( ( ! [SY347: $i] :
              ( ~ ( r2 @ SV52 @ SY347 )
              | ! [SY348: $i] :
                  ( ~ ( r3 @ SY347 @ SY348 )
                  | ( SV117 @ SY348 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[517]) ).

thf(612,plain,
    ! [SV118: $i > $o,SV53: $i] :
      ( ( ( ~ ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) ) )
        = $false )
      | ( ( ! [SY350: $i] :
              ( ~ ( r5 @ SV53 @ SY350 )
              | ! [SY351: $i] :
                  ( ~ ( r4 @ SY350 @ SY351 )
                  | ( SV118 @ SY351 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[518]) ).

thf(613,plain,
    ! [SV53: $i,SV118: $i > $o] :
      ( ( ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $false )
      | ( ( ! [SY350: $i] :
              ( ~ ( r5 @ SV53 @ SY350 )
              | ! [SY351: $i] :
                  ( ~ ( r4 @ SY350 @ SY351 )
                  | ( SV118 @ SY351 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[518]) ).

thf(614,plain,
    ! [SV119: $i > $o,SV153: $i,SV54: $i] :
      ( ( ( ~ ( r5 @ SV54 @ SV153 )
          | ( SV119 @ SV153 ) )
        = $true )
      | ( ( ! [SY353: $i] :
              ( ~ ( r5 @ SV54 @ SY353 )
              | ~ ! [SY354: $i] :
                    ( ~ ( r5 @ SY353 @ SY354 )
                    | ( SV119 @ SY354 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[519]) ).

thf(615,plain,
    ! [SV120: $i > $o,SV55: $i] :
      ( ( ( ~ ( r5 @ SV55 @ ( sK34_SY355 @ SV120 @ SV55 ) ) )
        = $false )
      | ( ( ! [SY356: $i] :
              ( ~ ( r4 @ SV55 @ SY356 )
              | ( SV120 @ SY356 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[520]) ).

thf(616,plain,
    ! [SV55: $i,SV120: $i > $o] :
      ( ( ( SV120 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $false )
      | ( ( ! [SY356: $i] :
              ( ~ ( r4 @ SV55 @ SY356 )
              | ( SV120 @ SY356 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[520]) ).

thf(617,plain,
    ! [SV121: $i > $o,SV56: $i] :
      ( ( ( ~ ( r3 @ SV56 @ ( sK35_SY357 @ SV121 @ SV56 ) ) )
        = $false )
      | ( ( ! [SY358: $i] :
              ( ~ ( r2 @ SV56 @ SY358 )
              | ( SV121 @ SY358 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(618,plain,
    ! [SV56: $i,SV121: $i > $o] :
      ( ( ( SV121 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $false )
      | ( ( ! [SY358: $i] :
              ( ~ ( r2 @ SV56 @ SY358 )
              | ( SV121 @ SY358 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[521]) ).

thf(619,plain,
    ! [SV57: $i,SV145: $i,SV122: mu] :
      ( ( ( ~ ( physics_student @ SV122 @ SV145 ) )
        = $true )
      | ( ( ~ ! [SY401: $i] :
                ( ~ ( r5 @ SV145 @ SY401 )
                | ~ ( good_in_physics @ SV122 @ SY401 ) ) )
        = $true )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[522]) ).

thf(620,plain,
    ! [SV123: $i > $o,SV58: $i] :
      ( ( ( ~ ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) ) )
        = $false )
      | ( ( ! [SY362: $i] :
              ( ~ ( r2 @ SV58 @ SY362 )
              | ! [SY363: $i] :
                  ( ~ ( r4 @ SY362 @ SY363 )
                  | ( SV123 @ SY363 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[523]) ).

thf(621,plain,
    ! [SV58: $i,SV123: $i > $o] :
      ( ( ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $false )
      | ( ( ! [SY362: $i] :
              ( ~ ( r2 @ SV58 @ SY362 )
              | ! [SY363: $i] :
                  ( ~ ( r4 @ SY362 @ SY363 )
                  | ( SV123 @ SY363 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[523]) ).

thf(622,plain,
    ! [SV124: $i > $o,SV154: $i,SV59: $i] :
      ( ( ( ~ ( r1 @ SV59 @ SV154 )
          | ( SV124 @ SV154 ) )
        = $true )
      | ( ( ! [SY365: $i] :
              ( ~ ( r1 @ SV59 @ SY365 )
              | ~ ! [SY366: $i] :
                    ( ~ ( r1 @ SY365 @ SY366 )
                    | ( SV124 @ SY366 ) ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[524]) ).

thf(623,plain,
    ! [SV60: $i,SV146: $i,SV125: mu] :
      ( ( ( ~ ( maths_student @ SV125 @ SV146 ) )
        = $true )
      | ( ( ~ ! [SY402: $i] :
                ( ~ ( r2 @ SV146 @ SY402 )
                | ~ ( good_in_maths @ SV125 @ SY402 ) ) )
        = $true )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[525]) ).

thf(624,plain,
    ! [SV126: $i > $o,SV61: $i] :
      ( ( ( ~ ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) ) )
        = $false )
      | ( ( ! [SY370: $i] :
              ( ~ ( r4 @ SV61 @ SY370 )
              | ! [SY371: $i] :
                  ( ~ ( r4 @ SY370 @ SY371 )
                  | ( SV126 @ SY371 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[526]) ).

thf(625,plain,
    ! [SV61: $i,SV126: $i > $o] :
      ( ( ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $false )
      | ( ( ! [SY370: $i] :
              ( ~ ( r4 @ SV61 @ SY370 )
              | ! [SY371: $i] :
                  ( ~ ( r4 @ SY370 @ SY371 )
                  | ( SV126 @ SY371 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[526]) ).

thf(626,plain,
    ! [SV127: $i > $o,SV62: $i] :
      ( ( ( ~ ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) ) )
        = $false )
      | ( ( ! [SY373: $i] :
              ( ~ ( r1 @ SV62 @ SY373 )
              | ! [SY374: $i] :
                  ( ~ ( r4 @ SY373 @ SY374 )
                  | ( SV127 @ SY374 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(627,plain,
    ! [SV62: $i,SV127: $i > $o] :
      ( ( ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $false )
      | ( ( ! [SY373: $i] :
              ( ~ ( r1 @ SV62 @ SY373 )
              | ! [SY374: $i] :
                  ( ~ ( r4 @ SY373 @ SY374 )
                  | ( SV127 @ SY374 ) ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[527]) ).

thf(628,plain,
    ! [SV128: $i > $o,SV63: $i] :
      ( ( ( ~ ( r5 @ SV63 @ ( sK39_SY375 @ SV128 @ SV63 ) ) )
        = $false )
      | ( ( ! [SY376: $i] :
              ( ~ ( r2 @ SV63 @ SY376 )
              | ( SV128 @ SY376 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[528]) ).

thf(629,plain,
    ! [SV63: $i,SV128: $i > $o] :
      ( ( ( SV128 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $false )
      | ( ( ! [SY376: $i] :
              ( ~ ( r2 @ SV63 @ SY376 )
              | ( SV128 @ SY376 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[528]) ).

thf(630,plain,
    ! [SV129: $i > $o,SV64: $i] :
      ( ( ( ~ ( r4 @ SV64 @ ( sK40_SY377 @ SV129 @ SV64 ) ) )
        = $false )
      | ( ( ! [SY378: $i] :
              ( ~ ( r3 @ SV64 @ SY378 )
              | ( SV129 @ SY378 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(631,plain,
    ! [SV64: $i,SV129: $i > $o] :
      ( ( ( SV129 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $false )
      | ( ( ! [SY378: $i] :
              ( ~ ( r3 @ SV64 @ SY378 )
              | ( SV129 @ SY378 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[529]) ).

thf(632,plain,
    ! [SV130: $i > $o,SV65: $i] :
      ( ( ( ~ ( r5 @ SV65 @ ( sK41_SY379 @ SV130 @ SV65 ) ) )
        = $false )
      | ( ( ! [SY380: $i] :
              ( ~ ( r3 @ SV65 @ SY380 )
              | ( SV130 @ SY380 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[530]) ).

thf(633,plain,
    ! [SV65: $i,SV130: $i > $o] :
      ( ( ( SV130 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $false )
      | ( ( ! [SY380: $i] :
              ( ~ ( r3 @ SV65 @ SY380 )
              | ( SV130 @ SY380 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[530]) ).

thf(634,plain,
    ! [SV66: $i,SV147: $i,SV131: mu] :
      ( ( ( ~ ( maths_student @ SV131 @ SV147 ) )
        = $true )
      | ( ( ~ ! [SY403: $i] :
                ( ~ ( r5 @ SV147 @ SY403 )
                | ~ ( good_in_maths @ SV131 @ SY403 ) ) )
        = $true )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[531]) ).

thf(635,plain,
    ! [SV1: $i,SV132: $i,SV67: mu] :
      ( ( ( good_in_physics @ SV67 @ SV132 )
        = $false )
      | ( ( ~ ! [SY383: $i] :
                ( ~ ( r2 @ SV132 @ SY383 )
                | ~ ( good_in_maths @ SV67 @ SY383 ) ) )
        = $true )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[532]) ).

thf(636,plain,
    ! [SV2: $i,SV133: $i,SV68: mu] :
      ( ( ( physics_student @ SV68 @ SV133 )
        = $false )
      | ( ( ~ ! [SY384: $i] :
                ( ~ ( r3 @ SV133 @ SY384 )
                | ~ ( good_in_physics @ SV68 @ SY384 ) ) )
        = $true )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[533]) ).

thf(637,plain,
    ! [SV69: $i > $o,SV3: $i] :
      ( ( ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $true )
      | ( ( ! [SY228: $i] :
              ( ~ ( r5 @ SV3 @ SY228 )
              | ! [SY229: $i] :
                  ( ~ ( r2 @ SY228 @ SY229 )
                  | ( SV69 @ SY229 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[534]) ).

thf(638,plain,
    ! [SV69: $i > $o,SV155: $i,SV3: $i] :
      ( ( ( ~ ( r5 @ SV3 @ SV155 )
          | ! [SY405: $i] :
              ( ~ ( r2 @ SV155 @ SY405 )
              | ( SV69 @ SY405 ) ) )
        = $true )
      | ( ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[535]) ).

thf(639,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $true )
      | ( ( ~ ! [SY231: $i] :
                ( ~ ( r5 @ SV4 @ SY231 )
                | ~ ( SV70 @ SY231 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[536]) ).

thf(640,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ! [SY231: $i] :
              ( ~ ( r5 @ SV4 @ SY231 )
              | ~ ( SV70 @ SY231 ) ) )
        = $false )
      | ( ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[537]) ).

thf(641,plain,
    ! [SV71: $i > $o,SV5: $i] :
      ( ( ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $true )
      | ( ( ! [SY233: $i] :
              ( ~ ( r4 @ SV5 @ SY233 )
              | ! [SY234: $i] :
                  ( ~ ( r2 @ SY233 @ SY234 )
                  | ( SV71 @ SY234 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[538]) ).

thf(642,plain,
    ! [SV71: $i > $o,SV156: $i,SV5: $i] :
      ( ( ( ~ ( r4 @ SV5 @ SV156 )
          | ! [SY406: $i] :
              ( ~ ( r2 @ SV156 @ SY406 )
              | ( SV71 @ SY406 ) ) )
        = $true )
      | ( ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[539]) ).

thf(643,plain,
    ! [SV72: $i > $o,SV6: $i] :
      ( ( ( r5 @ SV6 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $true )
      | ( ( ! [SY236: $i] :
              ( ~ ( r1 @ SV6 @ SY236 )
              | ( SV72 @ SY236 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[540]) ).

thf(644,plain,
    ! [SV72: $i > $o,SV157: $i,SV6: $i] :
      ( ( ( ~ ( r1 @ SV6 @ SV157 )
          | ( SV72 @ SV157 ) )
        = $true )
      | ( ( SV72 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[541]) ).

thf(645,plain,
    ! [SV73: $i > $o,SV7: $i] :
      ( ( ( r3 @ SV7 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $true )
      | ( ( ! [SY238: $i] :
              ( ~ ( r1 @ SV7 @ SY238 )
              | ( SV73 @ SY238 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[542]) ).

thf(646,plain,
    ! [SV73: $i > $o,SV158: $i,SV7: $i] :
      ( ( ( ~ ( r1 @ SV7 @ SV158 )
          | ( SV73 @ SV158 ) )
        = $true )
      | ( ( SV73 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[543]) ).

thf(647,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $true )
      | ( ( ~ ! [SY240: $i] :
                ( ~ ( r1 @ SV8 @ SY240 )
                | ~ ( SV74 @ SY240 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[544]) ).

thf(648,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ! [SY240: $i] :
              ( ~ ( r1 @ SV8 @ SY240 )
              | ~ ( SV74 @ SY240 ) ) )
        = $false )
      | ( ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[545]) ).

thf(649,plain,
    ! [SV9: $i,SV75: mu,SV134: $i] :
      ( ( ( ! [SY385: $i] :
              ( ~ ( r3 @ SV134 @ SY385 )
              | ( mathematician @ SV75 @ SY385 ) ) )
        = $false )
      | ( ( ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[546]) ).

thf(650,plain,
    ! [SV10: $i,SV76: mu,SV135: $i] :
      ( ( ( ! [SY387: $i] :
              ( ~ ( r1 @ SV135 @ SY387 )
              | ( mathematician @ SV76 @ SY387 ) ) )
        = $false )
      | ( ( ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[547]) ).

thf(651,plain,
    ! [SV77: $i > $o,SV11: $i] :
      ( ( ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $true )
      | ( ( ! [SY248: $i] :
              ( ~ ( r3 @ SV11 @ SY248 )
              | ! [SY249: $i] :
                  ( ~ ( r4 @ SY248 @ SY249 )
                  | ( SV77 @ SY249 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[548]) ).

thf(652,plain,
    ! [SV77: $i > $o,SV159: $i,SV11: $i] :
      ( ( ( ~ ( r3 @ SV11 @ SV159 )
          | ! [SY407: $i] :
              ( ~ ( r4 @ SV159 @ SY407 )
              | ( SV77 @ SY407 ) ) )
        = $true )
      | ( ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[549]) ).

thf(653,plain,
    ! [SV12: $i,SV78: mu,SV136: $i] :
      ( ( ( ! [SY389: $i] :
              ( ~ ( r5 @ SV136 @ SY389 )
              | ( mathematician @ SV78 @ SY389 ) ) )
        = $false )
      | ( ( ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[550]) ).

thf(654,plain,
    ! [SV79: $i > $o,SV13: $i] :
      ( ( ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $true )
      | ( ( ! [SY254: $i] :
              ( ~ ( r2 @ SV13 @ SY254 )
              | ! [SY255: $i] :
                  ( ~ ( r2 @ SY254 @ SY255 )
                  | ( SV79 @ SY255 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[551]) ).

thf(655,plain,
    ! [SV79: $i > $o,SV160: $i,SV13: $i] :
      ( ( ( ~ ( r2 @ SV13 @ SV160 )
          | ! [SY408: $i] :
              ( ~ ( r2 @ SV160 @ SY408 )
              | ( SV79 @ SY408 ) ) )
        = $true )
      | ( ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[552]) ).

thf(656,plain,
    ! [SV14: $i,SV80: mu,SV137: $i] :
      ( ( ( ! [SY391: $i] :
              ( ~ ( r4 @ SV137 @ SY391 )
              | ( mathematician @ SV80 @ SY391 ) ) )
        = $false )
      | ( ( ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[553]) ).

thf(657,plain,
    ! [SV81: $i > $o,SV15: $i] :
      ( ( ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $true )
      | ( ( ! [SY260: $i] :
              ( ~ ( r3 @ SV15 @ SY260 )
              | ! [SY261: $i] :
                  ( ~ ( r2 @ SY260 @ SY261 )
                  | ( SV81 @ SY261 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[554]) ).

thf(658,plain,
    ! [SV81: $i > $o,SV161: $i,SV15: $i] :
      ( ( ( ~ ( r3 @ SV15 @ SV161 )
          | ! [SY409: $i] :
              ( ~ ( r2 @ SV161 @ SY409 )
              | ( SV81 @ SY409 ) ) )
        = $true )
      | ( ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[555]) ).

thf(659,plain,
    ! [SV82: $i > $o,SV16: $i] :
      ( ( ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $true )
      | ( ( ! [SY263: $i] :
              ( ~ ( r1 @ SV16 @ SY263 )
              | ! [SY264: $i] :
                  ( ~ ( r3 @ SY263 @ SY264 )
                  | ( SV82 @ SY264 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[556]) ).

thf(660,plain,
    ! [SV82: $i > $o,SV162: $i,SV16: $i] :
      ( ( ( ~ ( r1 @ SV16 @ SV162 )
          | ! [SY410: $i] :
              ( ~ ( r3 @ SV162 @ SY410 )
              | ( SV82 @ SY410 ) ) )
        = $true )
      | ( ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[557]) ).

thf(661,plain,
    ! [SV83: $i > $o,SV17: $i] :
      ( ( ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $true )
      | ( ( ! [SY266: $i] :
              ( ~ ( r5 @ SV17 @ SY266 )
              | ! [SY267: $i] :
                  ( ~ ( r1 @ SY266 @ SY267 )
                  | ( SV83 @ SY267 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[558]) ).

thf(662,plain,
    ! [SV83: $i > $o,SV163: $i,SV17: $i] :
      ( ( ( ~ ( r5 @ SV17 @ SV163 )
          | ! [SY411: $i] :
              ( ~ ( r1 @ SV163 @ SY411 )
              | ( SV83 @ SY411 ) ) )
        = $true )
      | ( ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[559]) ).

thf(663,plain,
    ! [SV84: $i > $o,SV150: $i,SV18: $i] :
      ( ( ( ~ ( r2 @ SV18 @ SV150 ) )
        = $true )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( ! [SY269: $i] :
              ( ~ ( r2 @ SV18 @ SY269 )
              | ~ ! [SY270: $i] :
                    ( ~ ( r2 @ SY269 @ SY270 )
                    | ( SV84 @ SY270 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[560]) ).

thf(664,plain,
    ! [SV86: $i > $o,SV20: $i] :
      ( ( ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $true )
      | ( ( ! [SY272: $i] :
              ( ~ ( r2 @ SV20 @ SY272 )
              | ! [SY273: $i] :
                  ( ~ ( r1 @ SY272 @ SY273 )
                  | ( SV86 @ SY273 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[561]) ).

thf(665,plain,
    ! [SV86: $i > $o,SV164: $i,SV20: $i] :
      ( ( ( ~ ( r2 @ SV20 @ SV164 )
          | ! [SY412: $i] :
              ( ~ ( r1 @ SV164 @ SY412 )
              | ( SV86 @ SY412 ) ) )
        = $true )
      | ( ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[562]) ).

thf(666,plain,
    ! [SV87: $i > $o,SV21: $i] :
      ( ( ( r4 @ SV21 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $true )
      | ( ( ! [SY275: $i] :
              ( ~ ( r1 @ SV21 @ SY275 )
              | ( SV87 @ SY275 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[563]) ).

thf(667,plain,
    ! [SV87: $i > $o,SV165: $i,SV21: $i] :
      ( ( ( ~ ( r1 @ SV21 @ SV165 )
          | ( SV87 @ SV165 ) )
        = $true )
      | ( ( SV87 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[564]) ).

thf(668,plain,
    ! [SV22: $i,SV138: $i,SV88: mu] :
      ( ( ( maths_student @ SV88 @ SV138 )
        = $false )
      | ( ( ~ ! [SY393: $i] :
                ( ~ ( r1 @ SV138 @ SY393 )
                | ~ ( good_in_maths @ SV88 @ SY393 ) ) )
        = $true )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[565]) ).

thf(669,plain,
    ! [SV89: $i > $o,SV23: $i] :
      ( ( ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $true )
      | ( ( ! [SY279: $i] :
              ( ~ ( r4 @ SV23 @ SY279 )
              | ! [SY280: $i] :
                  ( ~ ( r1 @ SY279 @ SY280 )
                  | ( SV89 @ SY280 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[566]) ).

thf(670,plain,
    ! [SV89: $i > $o,SV166: $i,SV23: $i] :
      ( ( ( ~ ( r4 @ SV23 @ SV166 )
          | ! [SY413: $i] :
              ( ~ ( r1 @ SV166 @ SY413 )
              | ( SV89 @ SY413 ) ) )
        = $true )
      | ( ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[567]) ).

thf(671,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $true )
      | ( ( ~ ! [SY282: $i] :
                ( ~ ( r4 @ SV24 @ SY282 )
                | ~ ( SV90 @ SY282 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[568]) ).

thf(672,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ! [SY282: $i] :
              ( ~ ( r4 @ SV24 @ SY282 )
              | ~ ( SV90 @ SY282 ) ) )
        = $false )
      | ( ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[569]) ).

thf(673,plain,
    ! [SV91: $i > $o,SV151: $i,SV25: $i] :
      ( ( ( ~ ( r4 @ SV25 @ SV151 ) )
        = $true )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( ! [SY284: $i] :
              ( ~ ( r4 @ SV25 @ SY284 )
              | ~ ! [SY285: $i] :
                    ( ~ ( r4 @ SY284 @ SY285 )
                    | ( SV91 @ SY285 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[570]) ).

thf(674,plain,
    ! [SV92: mu,SV149: $i,SV26: $i] :
      ( ( ( r4 @ SV26 @ SV149 )
        = $false )
      | ( ( good_in_maths @ SV92 @ SV149 )
        = $true )
      | ( ( maths_teacher @ SV92 @ SV26 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[571]) ).

thf(675,plain,
    ! [SV93: $i > $o,SV27: $i] :
      ( ( ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $true )
      | ( ( ! [SY288: $i] :
              ( ~ ( r3 @ SV27 @ SY288 )
              | ! [SY289: $i] :
                  ( ~ ( r5 @ SY288 @ SY289 )
                  | ( SV93 @ SY289 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[572]) ).

thf(676,plain,
    ! [SV93: $i > $o,SV167: $i,SV27: $i] :
      ( ( ( ~ ( r3 @ SV27 @ SV167 )
          | ! [SY414: $i] :
              ( ~ ( r5 @ SV167 @ SY414 )
              | ( SV93 @ SY414 ) ) )
        = $true )
      | ( ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[573]) ).

thf(677,plain,
    ! [SV28: $i,SV139: $i,SV94: mu] :
      ( ( ( physics_student @ SV94 @ SV139 )
        = $false )
      | ( ( ~ ! [SY394: $i] :
                ( ~ ( r1 @ SV139 @ SY394 )
                | ~ ( good_in_physics @ SV94 @ SY394 ) ) )
        = $true )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[574]) ).

thf(678,plain,
    ! [SV95: $i > $o,SV29: $i] :
      ( ( ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $true )
      | ( ( ! [SY293: $i] :
              ( ~ ( r3 @ SV29 @ SY293 )
              | ! [SY294: $i] :
                  ( ~ ( r3 @ SY293 @ SY294 )
                  | ( SV95 @ SY294 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[575]) ).

thf(679,plain,
    ! [SV95: $i > $o,SV168: $i,SV29: $i] :
      ( ( ( ~ ( r3 @ SV29 @ SV168 )
          | ! [SY415: $i] :
              ( ~ ( r3 @ SV168 @ SY415 )
              | ( SV95 @ SY415 ) ) )
        = $true )
      | ( ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[576]) ).

thf(680,plain,
    ! [SV30: $i,SV140: $i,SV96: mu] :
      ( ( ( maths_student @ SV96 @ SV140 )
        = $false )
      | ( ( ~ ! [SY395: $i] :
                ( ~ ( r3 @ SV140 @ SY395 )
                | ~ ( good_in_maths @ SV96 @ SY395 ) ) )
        = $true )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[577]) ).

thf(681,plain,
    ! [SV97: $i > $o,SV31: $i] :
      ( ( ( r2 @ SV31 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $true )
      | ( ( ! [SY298: $i] :
              ( ~ ( r1 @ SV31 @ SY298 )
              | ( SV97 @ SY298 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[578]) ).

thf(682,plain,
    ! [SV97: $i > $o,SV169: $i,SV31: $i] :
      ( ( ( ~ ( r1 @ SV31 @ SV169 )
          | ( SV97 @ SV169 ) )
        = $true )
      | ( ( SV97 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[579]) ).

thf(683,plain,
    ! [SV98: $i > $o,SV32: $i] :
      ( ( ( r4 @ SV32 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $true )
      | ( ( ! [SY300: $i] :
              ( ~ ( r2 @ SV32 @ SY300 )
              | ( SV98 @ SY300 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[580]) ).

thf(684,plain,
    ! [SV98: $i > $o,SV170: $i,SV32: $i] :
      ( ( ( ~ ( r2 @ SV32 @ SV170 )
          | ( SV98 @ SV170 ) )
        = $true )
      | ( ( SV98 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[581]) ).

thf(685,plain,
    ! [SV33: $i,SV141: $i,SV99: mu] :
      ( ( ( maths_student @ SV99 @ SV141 )
        = $false )
      | ( ( ~ ! [SY396: $i] :
                ( ~ ( r4 @ SV141 @ SY396 )
                | ~ ( good_in_maths @ SV99 @ SY396 ) ) )
        = $true )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[582]) ).

thf(686,plain,
    ! [SV101: $i > $o,SV152: $i,SV35: $i] :
      ( ( ( ~ ( r3 @ SV35 @ SV152 ) )
        = $true )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( ! [SY304: $i] :
              ( ~ ( r3 @ SV35 @ SY304 )
              | ~ ! [SY305: $i] :
                    ( ~ ( r3 @ SY304 @ SY305 )
                    | ( SV101 @ SY305 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[583]) ).

thf(687,plain,
    ! [SV36: $i,SV142: $i,SV102: mu] :
      ( ( ( physics_student @ SV102 @ SV142 )
        = $false )
      | ( ( ~ ! [SY397: $i] :
                ( ~ ( r2 @ SV142 @ SY397 )
                | ~ ( good_in_physics @ SV102 @ SY397 ) ) )
        = $true )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[584]) ).

thf(688,plain,
    ! [SV103: $i > $o,SV37: $i] :
      ( ( ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $true )
      | ( ( ! [SY309: $i] :
              ( ~ ( r1 @ SV37 @ SY309 )
              | ! [SY310: $i] :
                  ( ~ ( r2 @ SY309 @ SY310 )
                  | ( SV103 @ SY310 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[585]) ).

thf(689,plain,
    ! [SV103: $i > $o,SV171: $i,SV37: $i] :
      ( ( ( ~ ( r1 @ SV37 @ SV171 )
          | ! [SY416: $i] :
              ( ~ ( r2 @ SV171 @ SY416 )
              | ( SV103 @ SY416 ) ) )
        = $true )
      | ( ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[586]) ).

thf(690,plain,
    ! [SV104: $i > $o,SV38: $i] :
      ( ( ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $true )
      | ( ( ! [SY312: $i] :
              ( ~ ( r1 @ SV38 @ SY312 )
              | ! [SY313: $i] :
                  ( ~ ( r1 @ SY312 @ SY313 )
                  | ( SV104 @ SY313 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[587]) ).

thf(691,plain,
    ! [SV104: $i > $o,SV172: $i,SV38: $i] :
      ( ( ( ~ ( r1 @ SV38 @ SV172 )
          | ! [SY417: $i] :
              ( ~ ( r1 @ SV172 @ SY417 )
              | ( SV104 @ SY417 ) ) )
        = $true )
      | ( ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[588]) ).

thf(692,plain,
    ! [SV105: $i > $o,SV39: $i] :
      ( ( ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $true )
      | ( ( ! [SY315: $i] :
              ( ~ ( r5 @ SV39 @ SY315 )
              | ! [SY316: $i] :
                  ( ~ ( r5 @ SY315 @ SY316 )
                  | ( SV105 @ SY316 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[589]) ).

thf(693,plain,
    ! [SV105: $i > $o,SV173: $i,SV39: $i] :
      ( ( ( ~ ( r5 @ SV39 @ SV173 )
          | ! [SY418: $i] :
              ( ~ ( r5 @ SV173 @ SY418 )
              | ( SV105 @ SY418 ) ) )
        = $true )
      | ( ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[590]) ).

thf(694,plain,
    ! [SV106: $i > $o,SV40: $i] :
      ( ( ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $true )
      | ( ( ! [SY318: $i] :
              ( ~ ( r3 @ SV40 @ SY318 )
              | ! [SY319: $i] :
                  ( ~ ( r1 @ SY318 @ SY319 )
                  | ( SV106 @ SY319 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[591]) ).

thf(695,plain,
    ! [SV106: $i > $o,SV174: $i,SV40: $i] :
      ( ( ( ~ ( r3 @ SV40 @ SV174 )
          | ! [SY419: $i] :
              ( ~ ( r1 @ SV174 @ SY419 )
              | ( SV106 @ SY419 ) ) )
        = $true )
      | ( ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[592]) ).

thf(696,plain,
    ! [SV107: $i > $o,SV41: $i] :
      ( ( ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $true )
      | ( ( ! [SY321: $i] :
              ( ~ ( r4 @ SV41 @ SY321 )
              | ! [SY322: $i] :
                  ( ~ ( r5 @ SY321 @ SY322 )
                  | ( SV107 @ SY322 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[593]) ).

thf(697,plain,
    ! [SV107: $i > $o,SV175: $i,SV41: $i] :
      ( ( ( ~ ( r4 @ SV41 @ SV175 )
          | ! [SY420: $i] :
              ( ~ ( r5 @ SV175 @ SY420 )
              | ( SV107 @ SY420 ) ) )
        = $true )
      | ( ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[594]) ).

thf(698,plain,
    ! [SV108: $i > $o,SV42: $i] :
      ( ( ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $true )
      | ( ( ! [SY324: $i] :
              ( ~ ( r1 @ SV42 @ SY324 )
              | ! [SY325: $i] :
                  ( ~ ( r5 @ SY324 @ SY325 )
                  | ( SV108 @ SY325 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[595]) ).

thf(699,plain,
    ! [SV108: $i > $o,SV176: $i,SV42: $i] :
      ( ( ( ~ ( r1 @ SV42 @ SV176 )
          | ! [SY421: $i] :
              ( ~ ( r5 @ SV176 @ SY421 )
              | ( SV108 @ SY421 ) ) )
        = $true )
      | ( ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[596]) ).

thf(700,plain,
    ! [SV148: mu] :
      ( ( ~ ( r4 @ sK1_SX0 @ ( sK42_SY404 @ SV148 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[597]) ).

thf(701,plain,
    ! [SV148: mu] :
      ( ( good_in_maths @ SV148 @ ( sK42_SY404 @ SV148 ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[597]) ).

thf(702,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $true )
      | ( ( ~ ! [SY329: $i] :
                ( ~ ( r2 @ SV44 @ SY329 )
                | ~ ( SV110 @ SY329 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[598]) ).

thf(703,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ! [SY329: $i] :
              ( ~ ( r2 @ SV44 @ SY329 )
              | ~ ( SV110 @ SY329 ) ) )
        = $false )
      | ( ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[599]) ).

thf(704,plain,
    ! [SV111: $i > $o,SV45: $i] :
      ( ( ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $true )
      | ( ( ! [SY331: $i] :
              ( ~ ( r4 @ SV45 @ SY331 )
              | ! [SY332: $i] :
                  ( ~ ( r3 @ SY331 @ SY332 )
                  | ( SV111 @ SY332 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[600]) ).

thf(705,plain,
    ! [SV111: $i > $o,SV177: $i,SV45: $i] :
      ( ( ( ~ ( r4 @ SV45 @ SV177 )
          | ! [SY422: $i] :
              ( ~ ( r3 @ SV177 @ SY422 )
              | ( SV111 @ SY422 ) ) )
        = $true )
      | ( ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[601]) ).

thf(706,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $true )
      | ( ( ~ ! [SY334: $i] :
                ( ~ ( r3 @ SV46 @ SY334 )
                | ~ ( SV112 @ SY334 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[602]) ).

thf(707,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ! [SY334: $i] :
              ( ~ ( r3 @ SV46 @ SY334 )
              | ~ ( SV112 @ SY334 ) ) )
        = $false )
      | ( ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[603]) ).

thf(708,plain,
    ! [SV47: $i,SV113: mu,SV143: $i] :
      ( ( ( ! [SY398: $i] :
              ( ~ ( r2 @ SV143 @ SY398 )
              | ( mathematician @ SV113 @ SY398 ) ) )
        = $false )
      | ( ( ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[604]) ).

thf(709,plain,
    ! [SV114: $i > $o,SV48: $i] :
      ( ( ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $true )
      | ( ( ! [SY339: $i] :
              ( ~ ( r5 @ SV48 @ SY339 )
              | ! [SY340: $i] :
                  ( ~ ( r3 @ SY339 @ SY340 )
                  | ( SV114 @ SY340 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[605]) ).

thf(710,plain,
    ! [SV114: $i > $o,SV178: $i,SV48: $i] :
      ( ( ( ~ ( r5 @ SV48 @ SV178 )
          | ! [SY423: $i] :
              ( ~ ( r3 @ SV178 @ SY423 )
              | ( SV114 @ SY423 ) ) )
        = $true )
      | ( ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[606]) ).

thf(711,plain,
    ! [SV115: $i > $o,SV49: $i] :
      ( ( ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $true )
      | ( ( ! [SY342: $i] :
              ( ~ ( r2 @ SV49 @ SY342 )
              | ! [SY343: $i] :
                  ( ~ ( r5 @ SY342 @ SY343 )
                  | ( SV115 @ SY343 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[607]) ).

thf(712,plain,
    ! [SV115: $i > $o,SV179: $i,SV49: $i] :
      ( ( ( ~ ( r2 @ SV49 @ SV179 )
          | ! [SY424: $i] :
              ( ~ ( r5 @ SV179 @ SY424 )
              | ( SV115 @ SY424 ) ) )
        = $true )
      | ( ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[608]) ).

thf(713,plain,
    ! [SV50: $i,SV144: $i,SV116: mu] :
      ( ( ( physics_student @ SV116 @ SV144 )
        = $false )
      | ( ( ~ ! [SY400: $i] :
                ( ~ ( r4 @ SV144 @ SY400 )
                | ~ ( good_in_physics @ SV116 @ SY400 ) ) )
        = $true )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[609]) ).

thf(714,plain,
    ! [SV117: $i > $o,SV52: $i] :
      ( ( ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $true )
      | ( ( ! [SY347: $i] :
              ( ~ ( r2 @ SV52 @ SY347 )
              | ! [SY348: $i] :
                  ( ~ ( r3 @ SY347 @ SY348 )
                  | ( SV117 @ SY348 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[610]) ).

thf(715,plain,
    ! [SV117: $i > $o,SV180: $i,SV52: $i] :
      ( ( ( ~ ( r2 @ SV52 @ SV180 )
          | ! [SY425: $i] :
              ( ~ ( r3 @ SV180 @ SY425 )
              | ( SV117 @ SY425 ) ) )
        = $true )
      | ( ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[611]) ).

thf(716,plain,
    ! [SV118: $i > $o,SV53: $i] :
      ( ( ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $true )
      | ( ( ! [SY350: $i] :
              ( ~ ( r5 @ SV53 @ SY350 )
              | ! [SY351: $i] :
                  ( ~ ( r4 @ SY350 @ SY351 )
                  | ( SV118 @ SY351 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[612]) ).

thf(717,plain,
    ! [SV118: $i > $o,SV181: $i,SV53: $i] :
      ( ( ( ~ ( r5 @ SV53 @ SV181 )
          | ! [SY426: $i] :
              ( ~ ( r4 @ SV181 @ SY426 )
              | ( SV118 @ SY426 ) ) )
        = $true )
      | ( ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[613]) ).

thf(718,plain,
    ! [SV119: $i > $o,SV153: $i,SV54: $i] :
      ( ( ( ~ ( r5 @ SV54 @ SV153 ) )
        = $true )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( ! [SY353: $i] :
              ( ~ ( r5 @ SV54 @ SY353 )
              | ~ ! [SY354: $i] :
                    ( ~ ( r5 @ SY353 @ SY354 )
                    | ( SV119 @ SY354 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[614]) ).

thf(719,plain,
    ! [SV120: $i > $o,SV55: $i] :
      ( ( ( r5 @ SV55 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $true )
      | ( ( ! [SY356: $i] :
              ( ~ ( r4 @ SV55 @ SY356 )
              | ( SV120 @ SY356 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[615]) ).

thf(720,plain,
    ! [SV120: $i > $o,SV182: $i,SV55: $i] :
      ( ( ( ~ ( r4 @ SV55 @ SV182 )
          | ( SV120 @ SV182 ) )
        = $true )
      | ( ( SV120 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[616]) ).

thf(721,plain,
    ! [SV121: $i > $o,SV56: $i] :
      ( ( ( r3 @ SV56 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $true )
      | ( ( ! [SY358: $i] :
              ( ~ ( r2 @ SV56 @ SY358 )
              | ( SV121 @ SY358 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[617]) ).

thf(722,plain,
    ! [SV121: $i > $o,SV183: $i,SV56: $i] :
      ( ( ( ~ ( r2 @ SV56 @ SV183 )
          | ( SV121 @ SV183 ) )
        = $true )
      | ( ( SV121 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[618]) ).

thf(723,plain,
    ! [SV57: $i,SV145: $i,SV122: mu] :
      ( ( ( physics_student @ SV122 @ SV145 )
        = $false )
      | ( ( ~ ! [SY401: $i] :
                ( ~ ( r5 @ SV145 @ SY401 )
                | ~ ( good_in_physics @ SV122 @ SY401 ) ) )
        = $true )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[619]) ).

thf(724,plain,
    ! [SV123: $i > $o,SV58: $i] :
      ( ( ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $true )
      | ( ( ! [SY362: $i] :
              ( ~ ( r2 @ SV58 @ SY362 )
              | ! [SY363: $i] :
                  ( ~ ( r4 @ SY362 @ SY363 )
                  | ( SV123 @ SY363 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[620]) ).

thf(725,plain,
    ! [SV123: $i > $o,SV184: $i,SV58: $i] :
      ( ( ( ~ ( r2 @ SV58 @ SV184 )
          | ! [SY427: $i] :
              ( ~ ( r4 @ SV184 @ SY427 )
              | ( SV123 @ SY427 ) ) )
        = $true )
      | ( ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[621]) ).

thf(726,plain,
    ! [SV124: $i > $o,SV154: $i,SV59: $i] :
      ( ( ( ~ ( r1 @ SV59 @ SV154 ) )
        = $true )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( ! [SY365: $i] :
              ( ~ ( r1 @ SV59 @ SY365 )
              | ~ ! [SY366: $i] :
                    ( ~ ( r1 @ SY365 @ SY366 )
                    | ( SV124 @ SY366 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[622]) ).

thf(727,plain,
    ! [SV60: $i,SV146: $i,SV125: mu] :
      ( ( ( maths_student @ SV125 @ SV146 )
        = $false )
      | ( ( ~ ! [SY402: $i] :
                ( ~ ( r2 @ SV146 @ SY402 )
                | ~ ( good_in_maths @ SV125 @ SY402 ) ) )
        = $true )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[623]) ).

thf(728,plain,
    ! [SV126: $i > $o,SV61: $i] :
      ( ( ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $true )
      | ( ( ! [SY370: $i] :
              ( ~ ( r4 @ SV61 @ SY370 )
              | ! [SY371: $i] :
                  ( ~ ( r4 @ SY370 @ SY371 )
                  | ( SV126 @ SY371 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[624]) ).

thf(729,plain,
    ! [SV126: $i > $o,SV185: $i,SV61: $i] :
      ( ( ( ~ ( r4 @ SV61 @ SV185 )
          | ! [SY428: $i] :
              ( ~ ( r4 @ SV185 @ SY428 )
              | ( SV126 @ SY428 ) ) )
        = $true )
      | ( ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[625]) ).

thf(730,plain,
    ! [SV127: $i > $o,SV62: $i] :
      ( ( ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $true )
      | ( ( ! [SY373: $i] :
              ( ~ ( r1 @ SV62 @ SY373 )
              | ! [SY374: $i] :
                  ( ~ ( r4 @ SY373 @ SY374 )
                  | ( SV127 @ SY374 ) ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[626]) ).

thf(731,plain,
    ! [SV127: $i > $o,SV186: $i,SV62: $i] :
      ( ( ( ~ ( r1 @ SV62 @ SV186 )
          | ! [SY429: $i] :
              ( ~ ( r4 @ SV186 @ SY429 )
              | ( SV127 @ SY429 ) ) )
        = $true )
      | ( ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[627]) ).

thf(732,plain,
    ! [SV128: $i > $o,SV63: $i] :
      ( ( ( r5 @ SV63 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $true )
      | ( ( ! [SY376: $i] :
              ( ~ ( r2 @ SV63 @ SY376 )
              | ( SV128 @ SY376 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[628]) ).

thf(733,plain,
    ! [SV128: $i > $o,SV187: $i,SV63: $i] :
      ( ( ( ~ ( r2 @ SV63 @ SV187 )
          | ( SV128 @ SV187 ) )
        = $true )
      | ( ( SV128 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[629]) ).

thf(734,plain,
    ! [SV129: $i > $o,SV64: $i] :
      ( ( ( r4 @ SV64 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $true )
      | ( ( ! [SY378: $i] :
              ( ~ ( r3 @ SV64 @ SY378 )
              | ( SV129 @ SY378 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[630]) ).

thf(735,plain,
    ! [SV129: $i > $o,SV188: $i,SV64: $i] :
      ( ( ( ~ ( r3 @ SV64 @ SV188 )
          | ( SV129 @ SV188 ) )
        = $true )
      | ( ( SV129 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[631]) ).

thf(736,plain,
    ! [SV130: $i > $o,SV65: $i] :
      ( ( ( r5 @ SV65 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $true )
      | ( ( ! [SY380: $i] :
              ( ~ ( r3 @ SV65 @ SY380 )
              | ( SV130 @ SY380 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[632]) ).

thf(737,plain,
    ! [SV130: $i > $o,SV189: $i,SV65: $i] :
      ( ( ( ~ ( r3 @ SV65 @ SV189 )
          | ( SV130 @ SV189 ) )
        = $true )
      | ( ( SV130 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[633]) ).

thf(738,plain,
    ! [SV66: $i,SV147: $i,SV131: mu] :
      ( ( ( maths_student @ SV131 @ SV147 )
        = $false )
      | ( ( ~ ! [SY403: $i] :
                ( ~ ( r5 @ SV147 @ SY403 )
                | ~ ( good_in_maths @ SV131 @ SY403 ) ) )
        = $true )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[634]) ).

thf(739,plain,
    ! [SV1: $i,SV67: mu,SV132: $i] :
      ( ( ( ! [SY383: $i] :
              ( ~ ( r2 @ SV132 @ SY383 )
              | ~ ( good_in_maths @ SV67 @ SY383 ) ) )
        = $false )
      | ( ( good_in_physics @ SV67 @ SV132 )
        = $false )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[635]) ).

thf(740,plain,
    ! [SV2: $i,SV68: mu,SV133: $i] :
      ( ( ( ! [SY384: $i] :
              ( ~ ( r3 @ SV133 @ SY384 )
              | ~ ( good_in_physics @ SV68 @ SY384 ) ) )
        = $false )
      | ( ( physics_student @ SV68 @ SV133 )
        = $false )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[636]) ).

thf(741,plain,
    ! [SV69: $i > $o,SV190: $i,SV3: $i] :
      ( ( ( ~ ( r5 @ SV3 @ SV190 )
          | ! [SY430: $i] :
              ( ~ ( r2 @ SV190 @ SY430 )
              | ( SV69 @ SY430 ) ) )
        = $true )
      | ( ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[637]) ).

thf(742,plain,
    ! [SV69: $i > $o,SV155: $i,SV3: $i] :
      ( ( ( ~ ( r5 @ SV3 @ SV155 ) )
        = $true )
      | ( ( ! [SY405: $i] :
              ( ~ ( r2 @ SV155 @ SY405 )
              | ( SV69 @ SY405 ) ) )
        = $true )
      | ( ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[638]) ).

thf(743,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ! [SY231: $i] :
              ( ~ ( r5 @ SV4 @ SY231 )
              | ~ ( SV70 @ SY231 ) ) )
        = $false )
      | ( ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[639]) ).

thf(744,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ~ ( r5 @ SV4 @ ( sK43_SY231 @ SV70 @ SV4 ) )
          | ~ ( SV70 @ ( sK43_SY231 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[640]) ).

thf(745,plain,
    ! [SV71: $i > $o,SV191: $i,SV5: $i] :
      ( ( ( ~ ( r4 @ SV5 @ SV191 )
          | ! [SY431: $i] :
              ( ~ ( r2 @ SV191 @ SY431 )
              | ( SV71 @ SY431 ) ) )
        = $true )
      | ( ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[641]) ).

thf(746,plain,
    ! [SV71: $i > $o,SV156: $i,SV5: $i] :
      ( ( ( ~ ( r4 @ SV5 @ SV156 ) )
        = $true )
      | ( ( ! [SY406: $i] :
              ( ~ ( r2 @ SV156 @ SY406 )
              | ( SV71 @ SY406 ) ) )
        = $true )
      | ( ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[642]) ).

thf(747,plain,
    ! [SV72: $i > $o,SV192: $i,SV6: $i] :
      ( ( ( ~ ( r1 @ SV6 @ SV192 )
          | ( SV72 @ SV192 ) )
        = $true )
      | ( ( r5 @ SV6 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[643]) ).

thf(748,plain,
    ! [SV72: $i > $o,SV157: $i,SV6: $i] :
      ( ( ( ~ ( r1 @ SV6 @ SV157 ) )
        = $true )
      | ( ( SV72 @ SV157 )
        = $true )
      | ( ( SV72 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[644]) ).

thf(749,plain,
    ! [SV73: $i > $o,SV193: $i,SV7: $i] :
      ( ( ( ~ ( r1 @ SV7 @ SV193 )
          | ( SV73 @ SV193 ) )
        = $true )
      | ( ( r3 @ SV7 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[645]) ).

thf(750,plain,
    ! [SV73: $i > $o,SV158: $i,SV7: $i] :
      ( ( ( ~ ( r1 @ SV7 @ SV158 ) )
        = $true )
      | ( ( SV73 @ SV158 )
        = $true )
      | ( ( SV73 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[646]) ).

thf(751,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ! [SY240: $i] :
              ( ~ ( r1 @ SV8 @ SY240 )
              | ~ ( SV74 @ SY240 ) ) )
        = $false )
      | ( ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[647]) ).

thf(752,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ~ ( r1 @ SV8 @ ( sK44_SY240 @ SV74 @ SV8 ) )
          | ~ ( SV74 @ ( sK44_SY240 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[648]) ).

thf(753,plain,
    ! [SV75: mu,SV9: $i,SV134: $i] :
      ( ( ( ~ ( r3 @ SV134 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
          | ( mathematician @ SV75 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) ) )
        = $false )
      | ( ( ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[649]) ).

thf(754,plain,
    ! [SV76: mu,SV10: $i,SV135: $i] :
      ( ( ( ~ ( r1 @ SV135 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
          | ( mathematician @ SV76 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) ) )
        = $false )
      | ( ( ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[650]) ).

thf(755,plain,
    ! [SV77: $i > $o,SV194: $i,SV11: $i] :
      ( ( ( ~ ( r3 @ SV11 @ SV194 )
          | ! [SY432: $i] :
              ( ~ ( r4 @ SV194 @ SY432 )
              | ( SV77 @ SY432 ) ) )
        = $true )
      | ( ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[651]) ).

thf(756,plain,
    ! [SV77: $i > $o,SV159: $i,SV11: $i] :
      ( ( ( ~ ( r3 @ SV11 @ SV159 ) )
        = $true )
      | ( ( ! [SY407: $i] :
              ( ~ ( r4 @ SV159 @ SY407 )
              | ( SV77 @ SY407 ) ) )
        = $true )
      | ( ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[652]) ).

thf(757,plain,
    ! [SV78: mu,SV12: $i,SV136: $i] :
      ( ( ( ~ ( r5 @ SV136 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
          | ( mathematician @ SV78 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) ) )
        = $false )
      | ( ( ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[653]) ).

thf(758,plain,
    ! [SV79: $i > $o,SV195: $i,SV13: $i] :
      ( ( ( ~ ( r2 @ SV13 @ SV195 )
          | ! [SY433: $i] :
              ( ~ ( r2 @ SV195 @ SY433 )
              | ( SV79 @ SY433 ) ) )
        = $true )
      | ( ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[654]) ).

thf(759,plain,
    ! [SV79: $i > $o,SV160: $i,SV13: $i] :
      ( ( ( ~ ( r2 @ SV13 @ SV160 ) )
        = $true )
      | ( ( ! [SY408: $i] :
              ( ~ ( r2 @ SV160 @ SY408 )
              | ( SV79 @ SY408 ) ) )
        = $true )
      | ( ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[655]) ).

thf(760,plain,
    ! [SV80: mu,SV14: $i,SV137: $i] :
      ( ( ( ~ ( r4 @ SV137 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
          | ( mathematician @ SV80 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) ) )
        = $false )
      | ( ( ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[656]) ).

thf(761,plain,
    ! [SV81: $i > $o,SV196: $i,SV15: $i] :
      ( ( ( ~ ( r3 @ SV15 @ SV196 )
          | ! [SY434: $i] :
              ( ~ ( r2 @ SV196 @ SY434 )
              | ( SV81 @ SY434 ) ) )
        = $true )
      | ( ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[657]) ).

thf(762,plain,
    ! [SV81: $i > $o,SV161: $i,SV15: $i] :
      ( ( ( ~ ( r3 @ SV15 @ SV161 ) )
        = $true )
      | ( ( ! [SY409: $i] :
              ( ~ ( r2 @ SV161 @ SY409 )
              | ( SV81 @ SY409 ) ) )
        = $true )
      | ( ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[658]) ).

thf(763,plain,
    ! [SV82: $i > $o,SV197: $i,SV16: $i] :
      ( ( ( ~ ( r1 @ SV16 @ SV197 )
          | ! [SY435: $i] :
              ( ~ ( r3 @ SV197 @ SY435 )
              | ( SV82 @ SY435 ) ) )
        = $true )
      | ( ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[659]) ).

thf(764,plain,
    ! [SV82: $i > $o,SV162: $i,SV16: $i] :
      ( ( ( ~ ( r1 @ SV16 @ SV162 ) )
        = $true )
      | ( ( ! [SY410: $i] :
              ( ~ ( r3 @ SV162 @ SY410 )
              | ( SV82 @ SY410 ) ) )
        = $true )
      | ( ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[660]) ).

thf(765,plain,
    ! [SV83: $i > $o,SV198: $i,SV17: $i] :
      ( ( ( ~ ( r5 @ SV17 @ SV198 )
          | ! [SY436: $i] :
              ( ~ ( r1 @ SV198 @ SY436 )
              | ( SV83 @ SY436 ) ) )
        = $true )
      | ( ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[661]) ).

thf(766,plain,
    ! [SV83: $i > $o,SV163: $i,SV17: $i] :
      ( ( ( ~ ( r5 @ SV17 @ SV163 ) )
        = $true )
      | ( ( ! [SY411: $i] :
              ( ~ ( r1 @ SV163 @ SY411 )
              | ( SV83 @ SY411 ) ) )
        = $true )
      | ( ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[662]) ).

thf(767,plain,
    ! [SV84: $i > $o,SV150: $i,SV18: $i] :
      ( ( ( r2 @ SV18 @ SV150 )
        = $false )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( ! [SY269: $i] :
              ( ~ ( r2 @ SV18 @ SY269 )
              | ~ ! [SY270: $i] :
                    ( ~ ( r2 @ SY269 @ SY270 )
                    | ( SV84 @ SY270 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[663]) ).

thf(768,plain,
    ! [SV86: $i > $o,SV199: $i,SV20: $i] :
      ( ( ( ~ ( r2 @ SV20 @ SV199 )
          | ! [SY437: $i] :
              ( ~ ( r1 @ SV199 @ SY437 )
              | ( SV86 @ SY437 ) ) )
        = $true )
      | ( ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[664]) ).

thf(769,plain,
    ! [SV86: $i > $o,SV164: $i,SV20: $i] :
      ( ( ( ~ ( r2 @ SV20 @ SV164 ) )
        = $true )
      | ( ( ! [SY412: $i] :
              ( ~ ( r1 @ SV164 @ SY412 )
              | ( SV86 @ SY412 ) ) )
        = $true )
      | ( ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[665]) ).

thf(770,plain,
    ! [SV87: $i > $o,SV200: $i,SV21: $i] :
      ( ( ( ~ ( r1 @ SV21 @ SV200 )
          | ( SV87 @ SV200 ) )
        = $true )
      | ( ( r4 @ SV21 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[666]) ).

thf(771,plain,
    ! [SV87: $i > $o,SV165: $i,SV21: $i] :
      ( ( ( ~ ( r1 @ SV21 @ SV165 ) )
        = $true )
      | ( ( SV87 @ SV165 )
        = $true )
      | ( ( SV87 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[667]) ).

thf(772,plain,
    ! [SV22: $i,SV88: mu,SV138: $i] :
      ( ( ( ! [SY393: $i] :
              ( ~ ( r1 @ SV138 @ SY393 )
              | ~ ( good_in_maths @ SV88 @ SY393 ) ) )
        = $false )
      | ( ( maths_student @ SV88 @ SV138 )
        = $false )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[668]) ).

thf(773,plain,
    ! [SV89: $i > $o,SV201: $i,SV23: $i] :
      ( ( ( ~ ( r4 @ SV23 @ SV201 )
          | ! [SY438: $i] :
              ( ~ ( r1 @ SV201 @ SY438 )
              | ( SV89 @ SY438 ) ) )
        = $true )
      | ( ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[669]) ).

thf(774,plain,
    ! [SV89: $i > $o,SV166: $i,SV23: $i] :
      ( ( ( ~ ( r4 @ SV23 @ SV166 ) )
        = $true )
      | ( ( ! [SY413: $i] :
              ( ~ ( r1 @ SV166 @ SY413 )
              | ( SV89 @ SY413 ) ) )
        = $true )
      | ( ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[670]) ).

thf(775,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ! [SY282: $i] :
              ( ~ ( r4 @ SV24 @ SY282 )
              | ~ ( SV90 @ SY282 ) ) )
        = $false )
      | ( ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[671]) ).

thf(776,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ~ ( r4 @ SV24 @ ( sK49_SY282 @ SV90 @ SV24 ) )
          | ~ ( SV90 @ ( sK49_SY282 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[672]) ).

thf(777,plain,
    ! [SV91: $i > $o,SV151: $i,SV25: $i] :
      ( ( ( r4 @ SV25 @ SV151 )
        = $false )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( ! [SY284: $i] :
              ( ~ ( r4 @ SV25 @ SY284 )
              | ~ ! [SY285: $i] :
                    ( ~ ( r4 @ SY284 @ SY285 )
                    | ( SV91 @ SY285 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[673]) ).

thf(778,plain,
    ! [SV93: $i > $o,SV202: $i,SV27: $i] :
      ( ( ( ~ ( r3 @ SV27 @ SV202 )
          | ! [SY439: $i] :
              ( ~ ( r5 @ SV202 @ SY439 )
              | ( SV93 @ SY439 ) ) )
        = $true )
      | ( ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[675]) ).

thf(779,plain,
    ! [SV93: $i > $o,SV167: $i,SV27: $i] :
      ( ( ( ~ ( r3 @ SV27 @ SV167 ) )
        = $true )
      | ( ( ! [SY414: $i] :
              ( ~ ( r5 @ SV167 @ SY414 )
              | ( SV93 @ SY414 ) ) )
        = $true )
      | ( ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[676]) ).

thf(780,plain,
    ! [SV28: $i,SV94: mu,SV139: $i] :
      ( ( ( ! [SY394: $i] :
              ( ~ ( r1 @ SV139 @ SY394 )
              | ~ ( good_in_physics @ SV94 @ SY394 ) ) )
        = $false )
      | ( ( physics_student @ SV94 @ SV139 )
        = $false )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[677]) ).

thf(781,plain,
    ! [SV95: $i > $o,SV203: $i,SV29: $i] :
      ( ( ( ~ ( r3 @ SV29 @ SV203 )
          | ! [SY440: $i] :
              ( ~ ( r3 @ SV203 @ SY440 )
              | ( SV95 @ SY440 ) ) )
        = $true )
      | ( ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[678]) ).

thf(782,plain,
    ! [SV95: $i > $o,SV168: $i,SV29: $i] :
      ( ( ( ~ ( r3 @ SV29 @ SV168 ) )
        = $true )
      | ( ( ! [SY415: $i] :
              ( ~ ( r3 @ SV168 @ SY415 )
              | ( SV95 @ SY415 ) ) )
        = $true )
      | ( ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[679]) ).

thf(783,plain,
    ! [SV30: $i,SV96: mu,SV140: $i] :
      ( ( ( ! [SY395: $i] :
              ( ~ ( r3 @ SV140 @ SY395 )
              | ~ ( good_in_maths @ SV96 @ SY395 ) ) )
        = $false )
      | ( ( maths_student @ SV96 @ SV140 )
        = $false )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[680]) ).

thf(784,plain,
    ! [SV97: $i > $o,SV204: $i,SV31: $i] :
      ( ( ( ~ ( r1 @ SV31 @ SV204 )
          | ( SV97 @ SV204 ) )
        = $true )
      | ( ( r2 @ SV31 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[681]) ).

thf(785,plain,
    ! [SV97: $i > $o,SV169: $i,SV31: $i] :
      ( ( ( ~ ( r1 @ SV31 @ SV169 ) )
        = $true )
      | ( ( SV97 @ SV169 )
        = $true )
      | ( ( SV97 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[682]) ).

thf(786,plain,
    ! [SV98: $i > $o,SV205: $i,SV32: $i] :
      ( ( ( ~ ( r2 @ SV32 @ SV205 )
          | ( SV98 @ SV205 ) )
        = $true )
      | ( ( r4 @ SV32 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[683]) ).

thf(787,plain,
    ! [SV98: $i > $o,SV170: $i,SV32: $i] :
      ( ( ( ~ ( r2 @ SV32 @ SV170 ) )
        = $true )
      | ( ( SV98 @ SV170 )
        = $true )
      | ( ( SV98 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[684]) ).

thf(788,plain,
    ! [SV33: $i,SV99: mu,SV141: $i] :
      ( ( ( ! [SY396: $i] :
              ( ~ ( r4 @ SV141 @ SY396 )
              | ~ ( good_in_maths @ SV99 @ SY396 ) ) )
        = $false )
      | ( ( maths_student @ SV99 @ SV141 )
        = $false )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[685]) ).

thf(789,plain,
    ! [SV101: $i > $o,SV152: $i,SV35: $i] :
      ( ( ( r3 @ SV35 @ SV152 )
        = $false )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( ! [SY304: $i] :
              ( ~ ( r3 @ SV35 @ SY304 )
              | ~ ! [SY305: $i] :
                    ( ~ ( r3 @ SY304 @ SY305 )
                    | ( SV101 @ SY305 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[686]) ).

thf(790,plain,
    ! [SV36: $i,SV102: mu,SV142: $i] :
      ( ( ( ! [SY397: $i] :
              ( ~ ( r2 @ SV142 @ SY397 )
              | ~ ( good_in_physics @ SV102 @ SY397 ) ) )
        = $false )
      | ( ( physics_student @ SV102 @ SV142 )
        = $false )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[687]) ).

thf(791,plain,
    ! [SV103: $i > $o,SV206: $i,SV37: $i] :
      ( ( ( ~ ( r1 @ SV37 @ SV206 )
          | ! [SY441: $i] :
              ( ~ ( r2 @ SV206 @ SY441 )
              | ( SV103 @ SY441 ) ) )
        = $true )
      | ( ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[688]) ).

thf(792,plain,
    ! [SV103: $i > $o,SV171: $i,SV37: $i] :
      ( ( ( ~ ( r1 @ SV37 @ SV171 ) )
        = $true )
      | ( ( ! [SY416: $i] :
              ( ~ ( r2 @ SV171 @ SY416 )
              | ( SV103 @ SY416 ) ) )
        = $true )
      | ( ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[689]) ).

thf(793,plain,
    ! [SV104: $i > $o,SV207: $i,SV38: $i] :
      ( ( ( ~ ( r1 @ SV38 @ SV207 )
          | ! [SY442: $i] :
              ( ~ ( r1 @ SV207 @ SY442 )
              | ( SV104 @ SY442 ) ) )
        = $true )
      | ( ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[690]) ).

thf(794,plain,
    ! [SV104: $i > $o,SV172: $i,SV38: $i] :
      ( ( ( ~ ( r1 @ SV38 @ SV172 ) )
        = $true )
      | ( ( ! [SY417: $i] :
              ( ~ ( r1 @ SV172 @ SY417 )
              | ( SV104 @ SY417 ) ) )
        = $true )
      | ( ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[691]) ).

thf(795,plain,
    ! [SV105: $i > $o,SV208: $i,SV39: $i] :
      ( ( ( ~ ( r5 @ SV39 @ SV208 )
          | ! [SY443: $i] :
              ( ~ ( r5 @ SV208 @ SY443 )
              | ( SV105 @ SY443 ) ) )
        = $true )
      | ( ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[692]) ).

thf(796,plain,
    ! [SV105: $i > $o,SV173: $i,SV39: $i] :
      ( ( ( ~ ( r5 @ SV39 @ SV173 ) )
        = $true )
      | ( ( ! [SY418: $i] :
              ( ~ ( r5 @ SV173 @ SY418 )
              | ( SV105 @ SY418 ) ) )
        = $true )
      | ( ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[693]) ).

thf(797,plain,
    ! [SV106: $i > $o,SV209: $i,SV40: $i] :
      ( ( ( ~ ( r3 @ SV40 @ SV209 )
          | ! [SY444: $i] :
              ( ~ ( r1 @ SV209 @ SY444 )
              | ( SV106 @ SY444 ) ) )
        = $true )
      | ( ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[694]) ).

thf(798,plain,
    ! [SV106: $i > $o,SV174: $i,SV40: $i] :
      ( ( ( ~ ( r3 @ SV40 @ SV174 ) )
        = $true )
      | ( ( ! [SY419: $i] :
              ( ~ ( r1 @ SV174 @ SY419 )
              | ( SV106 @ SY419 ) ) )
        = $true )
      | ( ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[695]) ).

thf(799,plain,
    ! [SV107: $i > $o,SV210: $i,SV41: $i] :
      ( ( ( ~ ( r4 @ SV41 @ SV210 )
          | ! [SY445: $i] :
              ( ~ ( r5 @ SV210 @ SY445 )
              | ( SV107 @ SY445 ) ) )
        = $true )
      | ( ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[696]) ).

thf(800,plain,
    ! [SV107: $i > $o,SV175: $i,SV41: $i] :
      ( ( ( ~ ( r4 @ SV41 @ SV175 ) )
        = $true )
      | ( ( ! [SY420: $i] :
              ( ~ ( r5 @ SV175 @ SY420 )
              | ( SV107 @ SY420 ) ) )
        = $true )
      | ( ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[697]) ).

thf(801,plain,
    ! [SV108: $i > $o,SV211: $i,SV42: $i] :
      ( ( ( ~ ( r1 @ SV42 @ SV211 )
          | ! [SY446: $i] :
              ( ~ ( r5 @ SV211 @ SY446 )
              | ( SV108 @ SY446 ) ) )
        = $true )
      | ( ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[698]) ).

thf(802,plain,
    ! [SV108: $i > $o,SV176: $i,SV42: $i] :
      ( ( ( ~ ( r1 @ SV42 @ SV176 ) )
        = $true )
      | ( ( ! [SY421: $i] :
              ( ~ ( r5 @ SV176 @ SY421 )
              | ( SV108 @ SY421 ) ) )
        = $true )
      | ( ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[699]) ).

thf(803,plain,
    ! [SV148: mu] :
      ( ( r4 @ sK1_SX0 @ ( sK42_SY404 @ SV148 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[700]) ).

thf(804,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ! [SY329: $i] :
              ( ~ ( r2 @ SV44 @ SY329 )
              | ~ ( SV110 @ SY329 ) ) )
        = $false )
      | ( ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[702]) ).

thf(805,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ~ ( r2 @ SV44 @ ( sK50_SY329 @ SV110 @ SV44 ) )
          | ~ ( SV110 @ ( sK50_SY329 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[703]) ).

thf(806,plain,
    ! [SV111: $i > $o,SV212: $i,SV45: $i] :
      ( ( ( ~ ( r4 @ SV45 @ SV212 )
          | ! [SY447: $i] :
              ( ~ ( r3 @ SV212 @ SY447 )
              | ( SV111 @ SY447 ) ) )
        = $true )
      | ( ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[704]) ).

thf(807,plain,
    ! [SV111: $i > $o,SV177: $i,SV45: $i] :
      ( ( ( ~ ( r4 @ SV45 @ SV177 ) )
        = $true )
      | ( ( ! [SY422: $i] :
              ( ~ ( r3 @ SV177 @ SY422 )
              | ( SV111 @ SY422 ) ) )
        = $true )
      | ( ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[705]) ).

thf(808,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ! [SY334: $i] :
              ( ~ ( r3 @ SV46 @ SY334 )
              | ~ ( SV112 @ SY334 ) ) )
        = $false )
      | ( ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[706]) ).

thf(809,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ~ ( r3 @ SV46 @ ( sK51_SY334 @ SV112 @ SV46 ) )
          | ~ ( SV112 @ ( sK51_SY334 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[707]) ).

thf(810,plain,
    ! [SV113: mu,SV47: $i,SV143: $i] :
      ( ( ( ~ ( r2 @ SV143 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
          | ( mathematician @ SV113 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) ) )
        = $false )
      | ( ( ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[708]) ).

thf(811,plain,
    ! [SV114: $i > $o,SV213: $i,SV48: $i] :
      ( ( ( ~ ( r5 @ SV48 @ SV213 )
          | ! [SY448: $i] :
              ( ~ ( r3 @ SV213 @ SY448 )
              | ( SV114 @ SY448 ) ) )
        = $true )
      | ( ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[709]) ).

thf(812,plain,
    ! [SV114: $i > $o,SV178: $i,SV48: $i] :
      ( ( ( ~ ( r5 @ SV48 @ SV178 ) )
        = $true )
      | ( ( ! [SY423: $i] :
              ( ~ ( r3 @ SV178 @ SY423 )
              | ( SV114 @ SY423 ) ) )
        = $true )
      | ( ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[710]) ).

thf(813,plain,
    ! [SV115: $i > $o,SV214: $i,SV49: $i] :
      ( ( ( ~ ( r2 @ SV49 @ SV214 )
          | ! [SY449: $i] :
              ( ~ ( r5 @ SV214 @ SY449 )
              | ( SV115 @ SY449 ) ) )
        = $true )
      | ( ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[711]) ).

thf(814,plain,
    ! [SV115: $i > $o,SV179: $i,SV49: $i] :
      ( ( ( ~ ( r2 @ SV49 @ SV179 ) )
        = $true )
      | ( ( ! [SY424: $i] :
              ( ~ ( r5 @ SV179 @ SY424 )
              | ( SV115 @ SY424 ) ) )
        = $true )
      | ( ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[712]) ).

thf(815,plain,
    ! [SV50: $i,SV116: mu,SV144: $i] :
      ( ( ( ! [SY400: $i] :
              ( ~ ( r4 @ SV144 @ SY400 )
              | ~ ( good_in_physics @ SV116 @ SY400 ) ) )
        = $false )
      | ( ( physics_student @ SV116 @ SV144 )
        = $false )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[713]) ).

thf(816,plain,
    ! [SV117: $i > $o,SV215: $i,SV52: $i] :
      ( ( ( ~ ( r2 @ SV52 @ SV215 )
          | ! [SY450: $i] :
              ( ~ ( r3 @ SV215 @ SY450 )
              | ( SV117 @ SY450 ) ) )
        = $true )
      | ( ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[714]) ).

thf(817,plain,
    ! [SV117: $i > $o,SV180: $i,SV52: $i] :
      ( ( ( ~ ( r2 @ SV52 @ SV180 ) )
        = $true )
      | ( ( ! [SY425: $i] :
              ( ~ ( r3 @ SV180 @ SY425 )
              | ( SV117 @ SY425 ) ) )
        = $true )
      | ( ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[715]) ).

thf(818,plain,
    ! [SV118: $i > $o,SV216: $i,SV53: $i] :
      ( ( ( ~ ( r5 @ SV53 @ SV216 )
          | ! [SY451: $i] :
              ( ~ ( r4 @ SV216 @ SY451 )
              | ( SV118 @ SY451 ) ) )
        = $true )
      | ( ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[716]) ).

thf(819,plain,
    ! [SV118: $i > $o,SV181: $i,SV53: $i] :
      ( ( ( ~ ( r5 @ SV53 @ SV181 ) )
        = $true )
      | ( ( ! [SY426: $i] :
              ( ~ ( r4 @ SV181 @ SY426 )
              | ( SV118 @ SY426 ) ) )
        = $true )
      | ( ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[717]) ).

thf(820,plain,
    ! [SV119: $i > $o,SV153: $i,SV54: $i] :
      ( ( ( r5 @ SV54 @ SV153 )
        = $false )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( ! [SY353: $i] :
              ( ~ ( r5 @ SV54 @ SY353 )
              | ~ ! [SY354: $i] :
                    ( ~ ( r5 @ SY353 @ SY354 )
                    | ( SV119 @ SY354 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[718]) ).

thf(821,plain,
    ! [SV120: $i > $o,SV217: $i,SV55: $i] :
      ( ( ( ~ ( r4 @ SV55 @ SV217 )
          | ( SV120 @ SV217 ) )
        = $true )
      | ( ( r5 @ SV55 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[719]) ).

thf(822,plain,
    ! [SV120: $i > $o,SV182: $i,SV55: $i] :
      ( ( ( ~ ( r4 @ SV55 @ SV182 ) )
        = $true )
      | ( ( SV120 @ SV182 )
        = $true )
      | ( ( SV120 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[720]) ).

thf(823,plain,
    ! [SV121: $i > $o,SV218: $i,SV56: $i] :
      ( ( ( ~ ( r2 @ SV56 @ SV218 )
          | ( SV121 @ SV218 ) )
        = $true )
      | ( ( r3 @ SV56 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[721]) ).

thf(824,plain,
    ! [SV121: $i > $o,SV183: $i,SV56: $i] :
      ( ( ( ~ ( r2 @ SV56 @ SV183 ) )
        = $true )
      | ( ( SV121 @ SV183 )
        = $true )
      | ( ( SV121 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[722]) ).

thf(825,plain,
    ! [SV57: $i,SV122: mu,SV145: $i] :
      ( ( ( ! [SY401: $i] :
              ( ~ ( r5 @ SV145 @ SY401 )
              | ~ ( good_in_physics @ SV122 @ SY401 ) ) )
        = $false )
      | ( ( physics_student @ SV122 @ SV145 )
        = $false )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[723]) ).

thf(826,plain,
    ! [SV123: $i > $o,SV219: $i,SV58: $i] :
      ( ( ( ~ ( r2 @ SV58 @ SV219 )
          | ! [SY452: $i] :
              ( ~ ( r4 @ SV219 @ SY452 )
              | ( SV123 @ SY452 ) ) )
        = $true )
      | ( ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[724]) ).

thf(827,plain,
    ! [SV123: $i > $o,SV184: $i,SV58: $i] :
      ( ( ( ~ ( r2 @ SV58 @ SV184 ) )
        = $true )
      | ( ( ! [SY427: $i] :
              ( ~ ( r4 @ SV184 @ SY427 )
              | ( SV123 @ SY427 ) ) )
        = $true )
      | ( ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[725]) ).

thf(828,plain,
    ! [SV124: $i > $o,SV154: $i,SV59: $i] :
      ( ( ( r1 @ SV59 @ SV154 )
        = $false )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( ! [SY365: $i] :
              ( ~ ( r1 @ SV59 @ SY365 )
              | ~ ! [SY366: $i] :
                    ( ~ ( r1 @ SY365 @ SY366 )
                    | ( SV124 @ SY366 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[726]) ).

thf(829,plain,
    ! [SV60: $i,SV125: mu,SV146: $i] :
      ( ( ( ! [SY402: $i] :
              ( ~ ( r2 @ SV146 @ SY402 )
              | ~ ( good_in_maths @ SV125 @ SY402 ) ) )
        = $false )
      | ( ( maths_student @ SV125 @ SV146 )
        = $false )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[727]) ).

thf(830,plain,
    ! [SV126: $i > $o,SV220: $i,SV61: $i] :
      ( ( ( ~ ( r4 @ SV61 @ SV220 )
          | ! [SY453: $i] :
              ( ~ ( r4 @ SV220 @ SY453 )
              | ( SV126 @ SY453 ) ) )
        = $true )
      | ( ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[728]) ).

thf(831,plain,
    ! [SV126: $i > $o,SV185: $i,SV61: $i] :
      ( ( ( ~ ( r4 @ SV61 @ SV185 ) )
        = $true )
      | ( ( ! [SY428: $i] :
              ( ~ ( r4 @ SV185 @ SY428 )
              | ( SV126 @ SY428 ) ) )
        = $true )
      | ( ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[729]) ).

thf(832,plain,
    ! [SV127: $i > $o,SV221: $i,SV62: $i] :
      ( ( ( ~ ( r1 @ SV62 @ SV221 )
          | ! [SY454: $i] :
              ( ~ ( r4 @ SV221 @ SY454 )
              | ( SV127 @ SY454 ) ) )
        = $true )
      | ( ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[730]) ).

thf(833,plain,
    ! [SV127: $i > $o,SV186: $i,SV62: $i] :
      ( ( ( ~ ( r1 @ SV62 @ SV186 ) )
        = $true )
      | ( ( ! [SY429: $i] :
              ( ~ ( r4 @ SV186 @ SY429 )
              | ( SV127 @ SY429 ) ) )
        = $true )
      | ( ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[731]) ).

thf(834,plain,
    ! [SV128: $i > $o,SV222: $i,SV63: $i] :
      ( ( ( ~ ( r2 @ SV63 @ SV222 )
          | ( SV128 @ SV222 ) )
        = $true )
      | ( ( r5 @ SV63 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[732]) ).

thf(835,plain,
    ! [SV128: $i > $o,SV187: $i,SV63: $i] :
      ( ( ( ~ ( r2 @ SV63 @ SV187 ) )
        = $true )
      | ( ( SV128 @ SV187 )
        = $true )
      | ( ( SV128 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[733]) ).

thf(836,plain,
    ! [SV129: $i > $o,SV223: $i,SV64: $i] :
      ( ( ( ~ ( r3 @ SV64 @ SV223 )
          | ( SV129 @ SV223 ) )
        = $true )
      | ( ( r4 @ SV64 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[734]) ).

thf(837,plain,
    ! [SV129: $i > $o,SV188: $i,SV64: $i] :
      ( ( ( ~ ( r3 @ SV64 @ SV188 ) )
        = $true )
      | ( ( SV129 @ SV188 )
        = $true )
      | ( ( SV129 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[735]) ).

thf(838,plain,
    ! [SV130: $i > $o,SV224: $i,SV65: $i] :
      ( ( ( ~ ( r3 @ SV65 @ SV224 )
          | ( SV130 @ SV224 ) )
        = $true )
      | ( ( r5 @ SV65 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[736]) ).

thf(839,plain,
    ! [SV130: $i > $o,SV189: $i,SV65: $i] :
      ( ( ( ~ ( r3 @ SV65 @ SV189 ) )
        = $true )
      | ( ( SV130 @ SV189 )
        = $true )
      | ( ( SV130 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[737]) ).

thf(840,plain,
    ! [SV66: $i,SV131: mu,SV147: $i] :
      ( ( ( ! [SY403: $i] :
              ( ~ ( r5 @ SV147 @ SY403 )
              | ~ ( good_in_maths @ SV131 @ SY403 ) ) )
        = $false )
      | ( ( maths_student @ SV131 @ SV147 )
        = $false )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[738]) ).

thf(841,plain,
    ! [SV67: mu,SV1: $i,SV132: $i] :
      ( ( ( ~ ( r2 @ SV132 @ ( sK53_SY383 @ SV1 @ SV67 @ SV132 ) )
          | ~ ( good_in_maths @ SV67 @ ( sK53_SY383 @ SV1 @ SV67 @ SV132 ) ) )
        = $false )
      | ( ( good_in_physics @ SV67 @ SV132 )
        = $false )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[739]) ).

thf(842,plain,
    ! [SV68: mu,SV2: $i,SV133: $i] :
      ( ( ( ~ ( r3 @ SV133 @ ( sK54_SY384 @ SV2 @ SV68 @ SV133 ) )
          | ~ ( good_in_physics @ SV68 @ ( sK54_SY384 @ SV2 @ SV68 @ SV133 ) ) )
        = $false )
      | ( ( physics_student @ SV68 @ SV133 )
        = $false )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[740]) ).

thf(843,plain,
    ! [SV69: $i > $o,SV190: $i,SV3: $i] :
      ( ( ( ~ ( r5 @ SV3 @ SV190 ) )
        = $true )
      | ( ( ! [SY430: $i] :
              ( ~ ( r2 @ SV190 @ SY430 )
              | ( SV69 @ SY430 ) ) )
        = $true )
      | ( ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[741]) ).

thf(844,plain,
    ! [SV69: $i > $o,SV155: $i,SV3: $i] :
      ( ( ( r5 @ SV3 @ SV155 )
        = $false )
      | ( ( ! [SY405: $i] :
              ( ~ ( r2 @ SV155 @ SY405 )
              | ( SV69 @ SY405 ) ) )
        = $true )
      | ( ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[742]) ).

thf(845,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ~ ( r5 @ SV4 @ ( sK55_SY231 @ SV70 @ SV4 ) )
          | ~ ( SV70 @ ( sK55_SY231 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[743]) ).

thf(846,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ~ ( r5 @ SV4 @ ( sK43_SY231 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[744]) ).

thf(847,plain,
    ! [SV4: $i,SV70: $i > $o] :
      ( ( ( ~ ( SV70 @ ( sK43_SY231 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[744]) ).

thf(848,plain,
    ! [SV71: $i > $o,SV191: $i,SV5: $i] :
      ( ( ( ~ ( r4 @ SV5 @ SV191 ) )
        = $true )
      | ( ( ! [SY431: $i] :
              ( ~ ( r2 @ SV191 @ SY431 )
              | ( SV71 @ SY431 ) ) )
        = $true )
      | ( ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[745]) ).

thf(849,plain,
    ! [SV71: $i > $o,SV156: $i,SV5: $i] :
      ( ( ( r4 @ SV5 @ SV156 )
        = $false )
      | ( ( ! [SY406: $i] :
              ( ~ ( r2 @ SV156 @ SY406 )
              | ( SV71 @ SY406 ) ) )
        = $true )
      | ( ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[746]) ).

thf(850,plain,
    ! [SV72: $i > $o,SV192: $i,SV6: $i] :
      ( ( ( ~ ( r1 @ SV6 @ SV192 ) )
        = $true )
      | ( ( SV72 @ SV192 )
        = $true )
      | ( ( r5 @ SV6 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[747]) ).

thf(851,plain,
    ! [SV72: $i > $o,SV157: $i,SV6: $i] :
      ( ( ( r1 @ SV6 @ SV157 )
        = $false )
      | ( ( SV72 @ SV157 )
        = $true )
      | ( ( SV72 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[748]) ).

thf(852,plain,
    ! [SV73: $i > $o,SV193: $i,SV7: $i] :
      ( ( ( ~ ( r1 @ SV7 @ SV193 ) )
        = $true )
      | ( ( SV73 @ SV193 )
        = $true )
      | ( ( r3 @ SV7 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[749]) ).

thf(853,plain,
    ! [SV73: $i > $o,SV158: $i,SV7: $i] :
      ( ( ( r1 @ SV7 @ SV158 )
        = $false )
      | ( ( SV73 @ SV158 )
        = $true )
      | ( ( SV73 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[750]) ).

thf(854,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ~ ( r1 @ SV8 @ ( sK56_SY240 @ SV74 @ SV8 ) )
          | ~ ( SV74 @ ( sK56_SY240 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[751]) ).

thf(855,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ~ ( r1 @ SV8 @ ( sK44_SY240 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[752]) ).

thf(856,plain,
    ! [SV8: $i,SV74: $i > $o] :
      ( ( ( ~ ( SV74 @ ( sK44_SY240 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[752]) ).

thf(857,plain,
    ! [SV75: mu,SV9: $i,SV134: $i] :
      ( ( ( ~ ( r3 @ SV134 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) ) )
        = $false )
      | ( ( ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[753]) ).

thf(858,plain,
    ! [SV134: $i,SV9: $i,SV75: mu] :
      ( ( ( mathematician @ SV75 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $false )
      | ( ( ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[753]) ).

thf(859,plain,
    ! [SV76: mu,SV10: $i,SV135: $i] :
      ( ( ( ~ ( r1 @ SV135 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) ) )
        = $false )
      | ( ( ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[754]) ).

thf(860,plain,
    ! [SV135: $i,SV10: $i,SV76: mu] :
      ( ( ( mathematician @ SV76 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $false )
      | ( ( ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[754]) ).

thf(861,plain,
    ! [SV77: $i > $o,SV194: $i,SV11: $i] :
      ( ( ( ~ ( r3 @ SV11 @ SV194 ) )
        = $true )
      | ( ( ! [SY432: $i] :
              ( ~ ( r4 @ SV194 @ SY432 )
              | ( SV77 @ SY432 ) ) )
        = $true )
      | ( ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[755]) ).

thf(862,plain,
    ! [SV77: $i > $o,SV159: $i,SV11: $i] :
      ( ( ( r3 @ SV11 @ SV159 )
        = $false )
      | ( ( ! [SY407: $i] :
              ( ~ ( r4 @ SV159 @ SY407 )
              | ( SV77 @ SY407 ) ) )
        = $true )
      | ( ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[756]) ).

thf(863,plain,
    ! [SV78: mu,SV12: $i,SV136: $i] :
      ( ( ( ~ ( r5 @ SV136 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) ) )
        = $false )
      | ( ( ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[757]) ).

thf(864,plain,
    ! [SV136: $i,SV12: $i,SV78: mu] :
      ( ( ( mathematician @ SV78 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $false )
      | ( ( ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[757]) ).

thf(865,plain,
    ! [SV79: $i > $o,SV195: $i,SV13: $i] :
      ( ( ( ~ ( r2 @ SV13 @ SV195 ) )
        = $true )
      | ( ( ! [SY433: $i] :
              ( ~ ( r2 @ SV195 @ SY433 )
              | ( SV79 @ SY433 ) ) )
        = $true )
      | ( ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[758]) ).

thf(866,plain,
    ! [SV79: $i > $o,SV160: $i,SV13: $i] :
      ( ( ( r2 @ SV13 @ SV160 )
        = $false )
      | ( ( ! [SY408: $i] :
              ( ~ ( r2 @ SV160 @ SY408 )
              | ( SV79 @ SY408 ) ) )
        = $true )
      | ( ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[759]) ).

thf(867,plain,
    ! [SV80: mu,SV14: $i,SV137: $i] :
      ( ( ( ~ ( r4 @ SV137 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) ) )
        = $false )
      | ( ( ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[760]) ).

thf(868,plain,
    ! [SV137: $i,SV14: $i,SV80: mu] :
      ( ( ( mathematician @ SV80 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $false )
      | ( ( ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[760]) ).

thf(869,plain,
    ! [SV81: $i > $o,SV196: $i,SV15: $i] :
      ( ( ( ~ ( r3 @ SV15 @ SV196 ) )
        = $true )
      | ( ( ! [SY434: $i] :
              ( ~ ( r2 @ SV196 @ SY434 )
              | ( SV81 @ SY434 ) ) )
        = $true )
      | ( ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[761]) ).

thf(870,plain,
    ! [SV81: $i > $o,SV161: $i,SV15: $i] :
      ( ( ( r3 @ SV15 @ SV161 )
        = $false )
      | ( ( ! [SY409: $i] :
              ( ~ ( r2 @ SV161 @ SY409 )
              | ( SV81 @ SY409 ) ) )
        = $true )
      | ( ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[762]) ).

thf(871,plain,
    ! [SV82: $i > $o,SV197: $i,SV16: $i] :
      ( ( ( ~ ( r1 @ SV16 @ SV197 ) )
        = $true )
      | ( ( ! [SY435: $i] :
              ( ~ ( r3 @ SV197 @ SY435 )
              | ( SV82 @ SY435 ) ) )
        = $true )
      | ( ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[763]) ).

thf(872,plain,
    ! [SV82: $i > $o,SV162: $i,SV16: $i] :
      ( ( ( r1 @ SV16 @ SV162 )
        = $false )
      | ( ( ! [SY410: $i] :
              ( ~ ( r3 @ SV162 @ SY410 )
              | ( SV82 @ SY410 ) ) )
        = $true )
      | ( ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[764]) ).

thf(873,plain,
    ! [SV83: $i > $o,SV198: $i,SV17: $i] :
      ( ( ( ~ ( r5 @ SV17 @ SV198 ) )
        = $true )
      | ( ( ! [SY436: $i] :
              ( ~ ( r1 @ SV198 @ SY436 )
              | ( SV83 @ SY436 ) ) )
        = $true )
      | ( ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[765]) ).

thf(874,plain,
    ! [SV83: $i > $o,SV163: $i,SV17: $i] :
      ( ( ( r5 @ SV17 @ SV163 )
        = $false )
      | ( ( ! [SY411: $i] :
              ( ~ ( r1 @ SV163 @ SY411 )
              | ( SV83 @ SY411 ) ) )
        = $true )
      | ( ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[766]) ).

thf(875,plain,
    ! [SV150: $i,SV84: $i > $o,SV225: $i,SV18: $i] :
      ( ( ( ~ ( r2 @ SV18 @ SV225 )
          | ~ ! [SY455: $i] :
                ( ~ ( r2 @ SV225 @ SY455 )
                | ( SV84 @ SY455 ) ) )
        = $true )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[767]) ).

thf(876,plain,
    ! [SV86: $i > $o,SV199: $i,SV20: $i] :
      ( ( ( ~ ( r2 @ SV20 @ SV199 ) )
        = $true )
      | ( ( ! [SY437: $i] :
              ( ~ ( r1 @ SV199 @ SY437 )
              | ( SV86 @ SY437 ) ) )
        = $true )
      | ( ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[768]) ).

thf(877,plain,
    ! [SV86: $i > $o,SV164: $i,SV20: $i] :
      ( ( ( r2 @ SV20 @ SV164 )
        = $false )
      | ( ( ! [SY412: $i] :
              ( ~ ( r1 @ SV164 @ SY412 )
              | ( SV86 @ SY412 ) ) )
        = $true )
      | ( ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[769]) ).

thf(878,plain,
    ! [SV87: $i > $o,SV200: $i,SV21: $i] :
      ( ( ( ~ ( r1 @ SV21 @ SV200 ) )
        = $true )
      | ( ( SV87 @ SV200 )
        = $true )
      | ( ( r4 @ SV21 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[770]) ).

thf(879,plain,
    ! [SV87: $i > $o,SV165: $i,SV21: $i] :
      ( ( ( r1 @ SV21 @ SV165 )
        = $false )
      | ( ( SV87 @ SV165 )
        = $true )
      | ( ( SV87 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[771]) ).

thf(880,plain,
    ! [SV88: mu,SV22: $i,SV138: $i] :
      ( ( ( ~ ( r1 @ SV138 @ ( sK57_SY393 @ SV22 @ SV88 @ SV138 ) )
          | ~ ( good_in_maths @ SV88 @ ( sK57_SY393 @ SV22 @ SV88 @ SV138 ) ) )
        = $false )
      | ( ( maths_student @ SV88 @ SV138 )
        = $false )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[772]) ).

thf(881,plain,
    ! [SV89: $i > $o,SV201: $i,SV23: $i] :
      ( ( ( ~ ( r4 @ SV23 @ SV201 ) )
        = $true )
      | ( ( ! [SY438: $i] :
              ( ~ ( r1 @ SV201 @ SY438 )
              | ( SV89 @ SY438 ) ) )
        = $true )
      | ( ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[773]) ).

thf(882,plain,
    ! [SV89: $i > $o,SV166: $i,SV23: $i] :
      ( ( ( r4 @ SV23 @ SV166 )
        = $false )
      | ( ( ! [SY413: $i] :
              ( ~ ( r1 @ SV166 @ SY413 )
              | ( SV89 @ SY413 ) ) )
        = $true )
      | ( ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[774]) ).

thf(883,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ~ ( r4 @ SV24 @ ( sK58_SY282 @ SV90 @ SV24 ) )
          | ~ ( SV90 @ ( sK58_SY282 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[775]) ).

thf(884,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ~ ( r4 @ SV24 @ ( sK49_SY282 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[776]) ).

thf(885,plain,
    ! [SV24: $i,SV90: $i > $o] :
      ( ( ( ~ ( SV90 @ ( sK49_SY282 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[776]) ).

thf(886,plain,
    ! [SV151: $i,SV91: $i > $o,SV226: $i,SV25: $i] :
      ( ( ( ~ ( r4 @ SV25 @ SV226 )
          | ~ ! [SY456: $i] :
                ( ~ ( r4 @ SV226 @ SY456 )
                | ( SV91 @ SY456 ) ) )
        = $true )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[777]) ).

thf(887,plain,
    ! [SV93: $i > $o,SV202: $i,SV27: $i] :
      ( ( ( ~ ( r3 @ SV27 @ SV202 ) )
        = $true )
      | ( ( ! [SY439: $i] :
              ( ~ ( r5 @ SV202 @ SY439 )
              | ( SV93 @ SY439 ) ) )
        = $true )
      | ( ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[778]) ).

thf(888,plain,
    ! [SV93: $i > $o,SV167: $i,SV27: $i] :
      ( ( ( r3 @ SV27 @ SV167 )
        = $false )
      | ( ( ! [SY414: $i] :
              ( ~ ( r5 @ SV167 @ SY414 )
              | ( SV93 @ SY414 ) ) )
        = $true )
      | ( ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[779]) ).

thf(889,plain,
    ! [SV94: mu,SV28: $i,SV139: $i] :
      ( ( ( ~ ( r1 @ SV139 @ ( sK59_SY394 @ SV28 @ SV94 @ SV139 ) )
          | ~ ( good_in_physics @ SV94 @ ( sK59_SY394 @ SV28 @ SV94 @ SV139 ) ) )
        = $false )
      | ( ( physics_student @ SV94 @ SV139 )
        = $false )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[780]) ).

thf(890,plain,
    ! [SV95: $i > $o,SV203: $i,SV29: $i] :
      ( ( ( ~ ( r3 @ SV29 @ SV203 ) )
        = $true )
      | ( ( ! [SY440: $i] :
              ( ~ ( r3 @ SV203 @ SY440 )
              | ( SV95 @ SY440 ) ) )
        = $true )
      | ( ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[781]) ).

thf(891,plain,
    ! [SV95: $i > $o,SV168: $i,SV29: $i] :
      ( ( ( r3 @ SV29 @ SV168 )
        = $false )
      | ( ( ! [SY415: $i] :
              ( ~ ( r3 @ SV168 @ SY415 )
              | ( SV95 @ SY415 ) ) )
        = $true )
      | ( ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[782]) ).

thf(892,plain,
    ! [SV96: mu,SV30: $i,SV140: $i] :
      ( ( ( ~ ( r3 @ SV140 @ ( sK60_SY395 @ SV30 @ SV96 @ SV140 ) )
          | ~ ( good_in_maths @ SV96 @ ( sK60_SY395 @ SV30 @ SV96 @ SV140 ) ) )
        = $false )
      | ( ( maths_student @ SV96 @ SV140 )
        = $false )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[783]) ).

thf(893,plain,
    ! [SV97: $i > $o,SV204: $i,SV31: $i] :
      ( ( ( ~ ( r1 @ SV31 @ SV204 ) )
        = $true )
      | ( ( SV97 @ SV204 )
        = $true )
      | ( ( r2 @ SV31 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[784]) ).

thf(894,plain,
    ! [SV97: $i > $o,SV169: $i,SV31: $i] :
      ( ( ( r1 @ SV31 @ SV169 )
        = $false )
      | ( ( SV97 @ SV169 )
        = $true )
      | ( ( SV97 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[785]) ).

thf(895,plain,
    ! [SV98: $i > $o,SV205: $i,SV32: $i] :
      ( ( ( ~ ( r2 @ SV32 @ SV205 ) )
        = $true )
      | ( ( SV98 @ SV205 )
        = $true )
      | ( ( r4 @ SV32 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[786]) ).

thf(896,plain,
    ! [SV98: $i > $o,SV170: $i,SV32: $i] :
      ( ( ( r2 @ SV32 @ SV170 )
        = $false )
      | ( ( SV98 @ SV170 )
        = $true )
      | ( ( SV98 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[787]) ).

thf(897,plain,
    ! [SV99: mu,SV33: $i,SV141: $i] :
      ( ( ( ~ ( r4 @ SV141 @ ( sK61_SY396 @ SV33 @ SV99 @ SV141 ) )
          | ~ ( good_in_maths @ SV99 @ ( sK61_SY396 @ SV33 @ SV99 @ SV141 ) ) )
        = $false )
      | ( ( maths_student @ SV99 @ SV141 )
        = $false )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[788]) ).

thf(898,plain,
    ! [SV152: $i,SV101: $i > $o,SV227: $i,SV35: $i] :
      ( ( ( ~ ( r3 @ SV35 @ SV227 )
          | ~ ! [SY457: $i] :
                ( ~ ( r3 @ SV227 @ SY457 )
                | ( SV101 @ SY457 ) ) )
        = $true )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[789]) ).

thf(899,plain,
    ! [SV102: mu,SV36: $i,SV142: $i] :
      ( ( ( ~ ( r2 @ SV142 @ ( sK62_SY397 @ SV36 @ SV102 @ SV142 ) )
          | ~ ( good_in_physics @ SV102 @ ( sK62_SY397 @ SV36 @ SV102 @ SV142 ) ) )
        = $false )
      | ( ( physics_student @ SV102 @ SV142 )
        = $false )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[790]) ).

thf(900,plain,
    ! [SV103: $i > $o,SV206: $i,SV37: $i] :
      ( ( ( ~ ( r1 @ SV37 @ SV206 ) )
        = $true )
      | ( ( ! [SY441: $i] :
              ( ~ ( r2 @ SV206 @ SY441 )
              | ( SV103 @ SY441 ) ) )
        = $true )
      | ( ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[791]) ).

thf(901,plain,
    ! [SV103: $i > $o,SV171: $i,SV37: $i] :
      ( ( ( r1 @ SV37 @ SV171 )
        = $false )
      | ( ( ! [SY416: $i] :
              ( ~ ( r2 @ SV171 @ SY416 )
              | ( SV103 @ SY416 ) ) )
        = $true )
      | ( ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[792]) ).

thf(902,plain,
    ! [SV104: $i > $o,SV207: $i,SV38: $i] :
      ( ( ( ~ ( r1 @ SV38 @ SV207 ) )
        = $true )
      | ( ( ! [SY442: $i] :
              ( ~ ( r1 @ SV207 @ SY442 )
              | ( SV104 @ SY442 ) ) )
        = $true )
      | ( ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[793]) ).

thf(903,plain,
    ! [SV104: $i > $o,SV172: $i,SV38: $i] :
      ( ( ( r1 @ SV38 @ SV172 )
        = $false )
      | ( ( ! [SY417: $i] :
              ( ~ ( r1 @ SV172 @ SY417 )
              | ( SV104 @ SY417 ) ) )
        = $true )
      | ( ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[794]) ).

thf(904,plain,
    ! [SV105: $i > $o,SV208: $i,SV39: $i] :
      ( ( ( ~ ( r5 @ SV39 @ SV208 ) )
        = $true )
      | ( ( ! [SY443: $i] :
              ( ~ ( r5 @ SV208 @ SY443 )
              | ( SV105 @ SY443 ) ) )
        = $true )
      | ( ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[795]) ).

thf(905,plain,
    ! [SV105: $i > $o,SV173: $i,SV39: $i] :
      ( ( ( r5 @ SV39 @ SV173 )
        = $false )
      | ( ( ! [SY418: $i] :
              ( ~ ( r5 @ SV173 @ SY418 )
              | ( SV105 @ SY418 ) ) )
        = $true )
      | ( ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[796]) ).

thf(906,plain,
    ! [SV106: $i > $o,SV209: $i,SV40: $i] :
      ( ( ( ~ ( r3 @ SV40 @ SV209 ) )
        = $true )
      | ( ( ! [SY444: $i] :
              ( ~ ( r1 @ SV209 @ SY444 )
              | ( SV106 @ SY444 ) ) )
        = $true )
      | ( ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[797]) ).

thf(907,plain,
    ! [SV106: $i > $o,SV174: $i,SV40: $i] :
      ( ( ( r3 @ SV40 @ SV174 )
        = $false )
      | ( ( ! [SY419: $i] :
              ( ~ ( r1 @ SV174 @ SY419 )
              | ( SV106 @ SY419 ) ) )
        = $true )
      | ( ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[798]) ).

thf(908,plain,
    ! [SV107: $i > $o,SV210: $i,SV41: $i] :
      ( ( ( ~ ( r4 @ SV41 @ SV210 ) )
        = $true )
      | ( ( ! [SY445: $i] :
              ( ~ ( r5 @ SV210 @ SY445 )
              | ( SV107 @ SY445 ) ) )
        = $true )
      | ( ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[799]) ).

thf(909,plain,
    ! [SV107: $i > $o,SV175: $i,SV41: $i] :
      ( ( ( r4 @ SV41 @ SV175 )
        = $false )
      | ( ( ! [SY420: $i] :
              ( ~ ( r5 @ SV175 @ SY420 )
              | ( SV107 @ SY420 ) ) )
        = $true )
      | ( ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[800]) ).

thf(910,plain,
    ! [SV108: $i > $o,SV211: $i,SV42: $i] :
      ( ( ( ~ ( r1 @ SV42 @ SV211 ) )
        = $true )
      | ( ( ! [SY446: $i] :
              ( ~ ( r5 @ SV211 @ SY446 )
              | ( SV108 @ SY446 ) ) )
        = $true )
      | ( ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[801]) ).

thf(911,plain,
    ! [SV108: $i > $o,SV176: $i,SV42: $i] :
      ( ( ( r1 @ SV42 @ SV176 )
        = $false )
      | ( ( ! [SY421: $i] :
              ( ~ ( r5 @ SV176 @ SY421 )
              | ( SV108 @ SY421 ) ) )
        = $true )
      | ( ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[802]) ).

thf(912,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ~ ( r2 @ SV44 @ ( sK63_SY329 @ SV110 @ SV44 ) )
          | ~ ( SV110 @ ( sK63_SY329 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[804]) ).

thf(913,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ~ ( r2 @ SV44 @ ( sK50_SY329 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[805]) ).

thf(914,plain,
    ! [SV44: $i,SV110: $i > $o] :
      ( ( ( ~ ( SV110 @ ( sK50_SY329 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[805]) ).

thf(915,plain,
    ! [SV111: $i > $o,SV212: $i,SV45: $i] :
      ( ( ( ~ ( r4 @ SV45 @ SV212 ) )
        = $true )
      | ( ( ! [SY447: $i] :
              ( ~ ( r3 @ SV212 @ SY447 )
              | ( SV111 @ SY447 ) ) )
        = $true )
      | ( ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[806]) ).

thf(916,plain,
    ! [SV111: $i > $o,SV177: $i,SV45: $i] :
      ( ( ( r4 @ SV45 @ SV177 )
        = $false )
      | ( ( ! [SY422: $i] :
              ( ~ ( r3 @ SV177 @ SY422 )
              | ( SV111 @ SY422 ) ) )
        = $true )
      | ( ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[807]) ).

thf(917,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ~ ( r3 @ SV46 @ ( sK64_SY334 @ SV112 @ SV46 ) )
          | ~ ( SV112 @ ( sK64_SY334 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[808]) ).

thf(918,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ~ ( r3 @ SV46 @ ( sK51_SY334 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[809]) ).

thf(919,plain,
    ! [SV46: $i,SV112: $i > $o] :
      ( ( ( ~ ( SV112 @ ( sK51_SY334 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[809]) ).

thf(920,plain,
    ! [SV113: mu,SV47: $i,SV143: $i] :
      ( ( ( ~ ( r2 @ SV143 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) ) )
        = $false )
      | ( ( ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[810]) ).

thf(921,plain,
    ! [SV143: $i,SV47: $i,SV113: mu] :
      ( ( ( mathematician @ SV113 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $false )
      | ( ( ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[810]) ).

thf(922,plain,
    ! [SV114: $i > $o,SV213: $i,SV48: $i] :
      ( ( ( ~ ( r5 @ SV48 @ SV213 ) )
        = $true )
      | ( ( ! [SY448: $i] :
              ( ~ ( r3 @ SV213 @ SY448 )
              | ( SV114 @ SY448 ) ) )
        = $true )
      | ( ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[811]) ).

thf(923,plain,
    ! [SV114: $i > $o,SV178: $i,SV48: $i] :
      ( ( ( r5 @ SV48 @ SV178 )
        = $false )
      | ( ( ! [SY423: $i] :
              ( ~ ( r3 @ SV178 @ SY423 )
              | ( SV114 @ SY423 ) ) )
        = $true )
      | ( ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[812]) ).

thf(924,plain,
    ! [SV115: $i > $o,SV214: $i,SV49: $i] :
      ( ( ( ~ ( r2 @ SV49 @ SV214 ) )
        = $true )
      | ( ( ! [SY449: $i] :
              ( ~ ( r5 @ SV214 @ SY449 )
              | ( SV115 @ SY449 ) ) )
        = $true )
      | ( ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[813]) ).

thf(925,plain,
    ! [SV115: $i > $o,SV179: $i,SV49: $i] :
      ( ( ( r2 @ SV49 @ SV179 )
        = $false )
      | ( ( ! [SY424: $i] :
              ( ~ ( r5 @ SV179 @ SY424 )
              | ( SV115 @ SY424 ) ) )
        = $true )
      | ( ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[814]) ).

thf(926,plain,
    ! [SV116: mu,SV50: $i,SV144: $i] :
      ( ( ( ~ ( r4 @ SV144 @ ( sK65_SY400 @ SV50 @ SV116 @ SV144 ) )
          | ~ ( good_in_physics @ SV116 @ ( sK65_SY400 @ SV50 @ SV116 @ SV144 ) ) )
        = $false )
      | ( ( physics_student @ SV116 @ SV144 )
        = $false )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[815]) ).

thf(927,plain,
    ! [SV117: $i > $o,SV215: $i,SV52: $i] :
      ( ( ( ~ ( r2 @ SV52 @ SV215 ) )
        = $true )
      | ( ( ! [SY450: $i] :
              ( ~ ( r3 @ SV215 @ SY450 )
              | ( SV117 @ SY450 ) ) )
        = $true )
      | ( ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[816]) ).

thf(928,plain,
    ! [SV117: $i > $o,SV180: $i,SV52: $i] :
      ( ( ( r2 @ SV52 @ SV180 )
        = $false )
      | ( ( ! [SY425: $i] :
              ( ~ ( r3 @ SV180 @ SY425 )
              | ( SV117 @ SY425 ) ) )
        = $true )
      | ( ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[817]) ).

thf(929,plain,
    ! [SV118: $i > $o,SV216: $i,SV53: $i] :
      ( ( ( ~ ( r5 @ SV53 @ SV216 ) )
        = $true )
      | ( ( ! [SY451: $i] :
              ( ~ ( r4 @ SV216 @ SY451 )
              | ( SV118 @ SY451 ) ) )
        = $true )
      | ( ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[818]) ).

thf(930,plain,
    ! [SV118: $i > $o,SV181: $i,SV53: $i] :
      ( ( ( r5 @ SV53 @ SV181 )
        = $false )
      | ( ( ! [SY426: $i] :
              ( ~ ( r4 @ SV181 @ SY426 )
              | ( SV118 @ SY426 ) ) )
        = $true )
      | ( ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[819]) ).

thf(931,plain,
    ! [SV153: $i,SV119: $i > $o,SV228: $i,SV54: $i] :
      ( ( ( ~ ( r5 @ SV54 @ SV228 )
          | ~ ! [SY458: $i] :
                ( ~ ( r5 @ SV228 @ SY458 )
                | ( SV119 @ SY458 ) ) )
        = $true )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[820]) ).

thf(932,plain,
    ! [SV120: $i > $o,SV217: $i,SV55: $i] :
      ( ( ( ~ ( r4 @ SV55 @ SV217 ) )
        = $true )
      | ( ( SV120 @ SV217 )
        = $true )
      | ( ( r5 @ SV55 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[821]) ).

thf(933,plain,
    ! [SV120: $i > $o,SV182: $i,SV55: $i] :
      ( ( ( r4 @ SV55 @ SV182 )
        = $false )
      | ( ( SV120 @ SV182 )
        = $true )
      | ( ( SV120 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[822]) ).

thf(934,plain,
    ! [SV121: $i > $o,SV218: $i,SV56: $i] :
      ( ( ( ~ ( r2 @ SV56 @ SV218 ) )
        = $true )
      | ( ( SV121 @ SV218 )
        = $true )
      | ( ( r3 @ SV56 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[823]) ).

thf(935,plain,
    ! [SV121: $i > $o,SV183: $i,SV56: $i] :
      ( ( ( r2 @ SV56 @ SV183 )
        = $false )
      | ( ( SV121 @ SV183 )
        = $true )
      | ( ( SV121 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[824]) ).

thf(936,plain,
    ! [SV122: mu,SV57: $i,SV145: $i] :
      ( ( ( ~ ( r5 @ SV145 @ ( sK66_SY401 @ SV57 @ SV122 @ SV145 ) )
          | ~ ( good_in_physics @ SV122 @ ( sK66_SY401 @ SV57 @ SV122 @ SV145 ) ) )
        = $false )
      | ( ( physics_student @ SV122 @ SV145 )
        = $false )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[825]) ).

thf(937,plain,
    ! [SV123: $i > $o,SV219: $i,SV58: $i] :
      ( ( ( ~ ( r2 @ SV58 @ SV219 ) )
        = $true )
      | ( ( ! [SY452: $i] :
              ( ~ ( r4 @ SV219 @ SY452 )
              | ( SV123 @ SY452 ) ) )
        = $true )
      | ( ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[826]) ).

thf(938,plain,
    ! [SV123: $i > $o,SV184: $i,SV58: $i] :
      ( ( ( r2 @ SV58 @ SV184 )
        = $false )
      | ( ( ! [SY427: $i] :
              ( ~ ( r4 @ SV184 @ SY427 )
              | ( SV123 @ SY427 ) ) )
        = $true )
      | ( ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[827]) ).

thf(939,plain,
    ! [SV154: $i,SV124: $i > $o,SV229: $i,SV59: $i] :
      ( ( ( ~ ( r1 @ SV59 @ SV229 )
          | ~ ! [SY459: $i] :
                ( ~ ( r1 @ SV229 @ SY459 )
                | ( SV124 @ SY459 ) ) )
        = $true )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[828]) ).

thf(940,plain,
    ! [SV125: mu,SV60: $i,SV146: $i] :
      ( ( ( ~ ( r2 @ SV146 @ ( sK67_SY402 @ SV60 @ SV125 @ SV146 ) )
          | ~ ( good_in_maths @ SV125 @ ( sK67_SY402 @ SV60 @ SV125 @ SV146 ) ) )
        = $false )
      | ( ( maths_student @ SV125 @ SV146 )
        = $false )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[829]) ).

thf(941,plain,
    ! [SV126: $i > $o,SV220: $i,SV61: $i] :
      ( ( ( ~ ( r4 @ SV61 @ SV220 ) )
        = $true )
      | ( ( ! [SY453: $i] :
              ( ~ ( r4 @ SV220 @ SY453 )
              | ( SV126 @ SY453 ) ) )
        = $true )
      | ( ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[830]) ).

thf(942,plain,
    ! [SV126: $i > $o,SV185: $i,SV61: $i] :
      ( ( ( r4 @ SV61 @ SV185 )
        = $false )
      | ( ( ! [SY428: $i] :
              ( ~ ( r4 @ SV185 @ SY428 )
              | ( SV126 @ SY428 ) ) )
        = $true )
      | ( ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[831]) ).

thf(943,plain,
    ! [SV127: $i > $o,SV221: $i,SV62: $i] :
      ( ( ( ~ ( r1 @ SV62 @ SV221 ) )
        = $true )
      | ( ( ! [SY454: $i] :
              ( ~ ( r4 @ SV221 @ SY454 )
              | ( SV127 @ SY454 ) ) )
        = $true )
      | ( ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[832]) ).

thf(944,plain,
    ! [SV127: $i > $o,SV186: $i,SV62: $i] :
      ( ( ( r1 @ SV62 @ SV186 )
        = $false )
      | ( ( ! [SY429: $i] :
              ( ~ ( r4 @ SV186 @ SY429 )
              | ( SV127 @ SY429 ) ) )
        = $true )
      | ( ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[833]) ).

thf(945,plain,
    ! [SV128: $i > $o,SV222: $i,SV63: $i] :
      ( ( ( ~ ( r2 @ SV63 @ SV222 ) )
        = $true )
      | ( ( SV128 @ SV222 )
        = $true )
      | ( ( r5 @ SV63 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[834]) ).

thf(946,plain,
    ! [SV128: $i > $o,SV187: $i,SV63: $i] :
      ( ( ( r2 @ SV63 @ SV187 )
        = $false )
      | ( ( SV128 @ SV187 )
        = $true )
      | ( ( SV128 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[835]) ).

thf(947,plain,
    ! [SV129: $i > $o,SV223: $i,SV64: $i] :
      ( ( ( ~ ( r3 @ SV64 @ SV223 ) )
        = $true )
      | ( ( SV129 @ SV223 )
        = $true )
      | ( ( r4 @ SV64 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[836]) ).

thf(948,plain,
    ! [SV129: $i > $o,SV188: $i,SV64: $i] :
      ( ( ( r3 @ SV64 @ SV188 )
        = $false )
      | ( ( SV129 @ SV188 )
        = $true )
      | ( ( SV129 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[837]) ).

thf(949,plain,
    ! [SV130: $i > $o,SV224: $i,SV65: $i] :
      ( ( ( ~ ( r3 @ SV65 @ SV224 ) )
        = $true )
      | ( ( SV130 @ SV224 )
        = $true )
      | ( ( r5 @ SV65 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[838]) ).

thf(950,plain,
    ! [SV130: $i > $o,SV189: $i,SV65: $i] :
      ( ( ( r3 @ SV65 @ SV189 )
        = $false )
      | ( ( SV130 @ SV189 )
        = $true )
      | ( ( SV130 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[839]) ).

thf(951,plain,
    ! [SV131: mu,SV66: $i,SV147: $i] :
      ( ( ( ~ ( r5 @ SV147 @ ( sK68_SY403 @ SV66 @ SV131 @ SV147 ) )
          | ~ ( good_in_maths @ SV131 @ ( sK68_SY403 @ SV66 @ SV131 @ SV147 ) ) )
        = $false )
      | ( ( maths_student @ SV131 @ SV147 )
        = $false )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[840]) ).

thf(952,plain,
    ! [SV67: mu,SV1: $i,SV132: $i] :
      ( ( ( ~ ( r2 @ SV132 @ ( sK53_SY383 @ SV1 @ SV67 @ SV132 ) ) )
        = $false )
      | ( ( good_in_physics @ SV67 @ SV132 )
        = $false )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[841]) ).

thf(953,plain,
    ! [SV132: $i,SV1: $i,SV67: mu] :
      ( ( ( ~ ( good_in_maths @ SV67 @ ( sK53_SY383 @ SV1 @ SV67 @ SV132 ) ) )
        = $false )
      | ( ( good_in_physics @ SV67 @ SV132 )
        = $false )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[841]) ).

thf(954,plain,
    ! [SV68: mu,SV2: $i,SV133: $i] :
      ( ( ( ~ ( r3 @ SV133 @ ( sK54_SY384 @ SV2 @ SV68 @ SV133 ) ) )
        = $false )
      | ( ( physics_student @ SV68 @ SV133 )
        = $false )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[842]) ).

thf(955,plain,
    ! [SV133: $i,SV2: $i,SV68: mu] :
      ( ( ( ~ ( good_in_physics @ SV68 @ ( sK54_SY384 @ SV2 @ SV68 @ SV133 ) ) )
        = $false )
      | ( ( physics_student @ SV68 @ SV133 )
        = $false )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[842]) ).

thf(956,plain,
    ! [SV69: $i > $o,SV190: $i,SV3: $i] :
      ( ( ( r5 @ SV3 @ SV190 )
        = $false )
      | ( ( ! [SY430: $i] :
              ( ~ ( r2 @ SV190 @ SY430 )
              | ( SV69 @ SY430 ) ) )
        = $true )
      | ( ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[843]) ).

thf(957,plain,
    ! [SV3: $i,SV69: $i > $o,SV230: $i,SV155: $i] :
      ( ( ( ~ ( r2 @ SV155 @ SV230 )
          | ( SV69 @ SV230 ) )
        = $true )
      | ( ( r5 @ SV3 @ SV155 )
        = $false )
      | ( ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[844]) ).

thf(958,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( ~ ( r5 @ SV4 @ ( sK55_SY231 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[845]) ).

thf(959,plain,
    ! [SV4: $i,SV70: $i > $o] :
      ( ( ( ~ ( SV70 @ ( sK55_SY231 @ SV70 @ SV4 ) ) )
        = $false )
      | ( ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[845]) ).

thf(960,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( r5 @ SV4 @ ( sK43_SY231 @ SV70 @ SV4 ) )
        = $true )
      | ( ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[846]) ).

thf(961,plain,
    ! [SV4: $i,SV70: $i > $o] :
      ( ( ( SV70 @ ( sK43_SY231 @ SV70 @ SV4 ) )
        = $true )
      | ( ( SV70 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[847]) ).

thf(962,plain,
    ! [SV71: $i > $o,SV191: $i,SV5: $i] :
      ( ( ( r4 @ SV5 @ SV191 )
        = $false )
      | ( ( ! [SY431: $i] :
              ( ~ ( r2 @ SV191 @ SY431 )
              | ( SV71 @ SY431 ) ) )
        = $true )
      | ( ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[848]) ).

thf(963,plain,
    ! [SV5: $i,SV71: $i > $o,SV231: $i,SV156: $i] :
      ( ( ( ~ ( r2 @ SV156 @ SV231 )
          | ( SV71 @ SV231 ) )
        = $true )
      | ( ( r4 @ SV5 @ SV156 )
        = $false )
      | ( ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[849]) ).

thf(964,plain,
    ! [SV72: $i > $o,SV192: $i,SV6: $i] :
      ( ( ( r1 @ SV6 @ SV192 )
        = $false )
      | ( ( SV72 @ SV192 )
        = $true )
      | ( ( r5 @ SV6 @ ( sK5_SY235 @ SV72 @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[850]) ).

thf(965,plain,
    ! [SV73: $i > $o,SV193: $i,SV7: $i] :
      ( ( ( r1 @ SV7 @ SV193 )
        = $false )
      | ( ( SV73 @ SV193 )
        = $true )
      | ( ( r3 @ SV7 @ ( sK6_SY237 @ SV73 @ SV7 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[852]) ).

thf(966,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( ~ ( r1 @ SV8 @ ( sK56_SY240 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[854]) ).

thf(967,plain,
    ! [SV8: $i,SV74: $i > $o] :
      ( ( ( ~ ( SV74 @ ( sK56_SY240 @ SV74 @ SV8 ) ) )
        = $false )
      | ( ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[854]) ).

thf(968,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( r1 @ SV8 @ ( sK44_SY240 @ SV74 @ SV8 ) )
        = $true )
      | ( ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[855]) ).

thf(969,plain,
    ! [SV8: $i,SV74: $i > $o] :
      ( ( ( SV74 @ ( sK44_SY240 @ SV74 @ SV8 ) )
        = $true )
      | ( ( SV74 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[856]) ).

thf(970,plain,
    ! [SV75: mu,SV9: $i,SV134: $i] :
      ( ( ( r3 @ SV134 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $true )
      | ( ( ! [SY386: $i] :
              ( ~ ( r3 @ SV134 @ SY386 )
              | ( good_in_maths @ SV75 @ SY386 ) ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[857]) ).

thf(971,plain,
    ! [SV9: $i,SV75: mu,SV232: $i,SV134: $i] :
      ( ( ( ~ ( r3 @ SV134 @ SV232 )
          | ( good_in_maths @ SV75 @ SV232 ) )
        = $true )
      | ( ( mathematician @ SV75 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $false )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[858]) ).

thf(972,plain,
    ! [SV76: mu,SV10: $i,SV135: $i] :
      ( ( ( r1 @ SV135 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $true )
      | ( ( ! [SY388: $i] :
              ( ~ ( r1 @ SV135 @ SY388 )
              | ( good_in_maths @ SV76 @ SY388 ) ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[859]) ).

thf(973,plain,
    ! [SV10: $i,SV76: mu,SV233: $i,SV135: $i] :
      ( ( ( ~ ( r1 @ SV135 @ SV233 )
          | ( good_in_maths @ SV76 @ SV233 ) )
        = $true )
      | ( ( mathematician @ SV76 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $false )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[860]) ).

thf(974,plain,
    ! [SV77: $i > $o,SV194: $i,SV11: $i] :
      ( ( ( r3 @ SV11 @ SV194 )
        = $false )
      | ( ( ! [SY432: $i] :
              ( ~ ( r4 @ SV194 @ SY432 )
              | ( SV77 @ SY432 ) ) )
        = $true )
      | ( ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[861]) ).

thf(975,plain,
    ! [SV11: $i,SV77: $i > $o,SV234: $i,SV159: $i] :
      ( ( ( ~ ( r4 @ SV159 @ SV234 )
          | ( SV77 @ SV234 ) )
        = $true )
      | ( ( r3 @ SV11 @ SV159 )
        = $false )
      | ( ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[862]) ).

thf(976,plain,
    ! [SV78: mu,SV12: $i,SV136: $i] :
      ( ( ( r5 @ SV136 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $true )
      | ( ( ! [SY390: $i] :
              ( ~ ( r5 @ SV136 @ SY390 )
              | ( good_in_maths @ SV78 @ SY390 ) ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[863]) ).

thf(977,plain,
    ! [SV12: $i,SV78: mu,SV235: $i,SV136: $i] :
      ( ( ( ~ ( r5 @ SV136 @ SV235 )
          | ( good_in_maths @ SV78 @ SV235 ) )
        = $true )
      | ( ( mathematician @ SV78 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $false )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[864]) ).

thf(978,plain,
    ! [SV79: $i > $o,SV195: $i,SV13: $i] :
      ( ( ( r2 @ SV13 @ SV195 )
        = $false )
      | ( ( ! [SY433: $i] :
              ( ~ ( r2 @ SV195 @ SY433 )
              | ( SV79 @ SY433 ) ) )
        = $true )
      | ( ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[865]) ).

thf(979,plain,
    ! [SV13: $i,SV79: $i > $o,SV236: $i,SV160: $i] :
      ( ( ( ~ ( r2 @ SV160 @ SV236 )
          | ( SV79 @ SV236 ) )
        = $true )
      | ( ( r2 @ SV13 @ SV160 )
        = $false )
      | ( ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[866]) ).

thf(980,plain,
    ! [SV80: mu,SV14: $i,SV137: $i] :
      ( ( ( r4 @ SV137 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $true )
      | ( ( ! [SY392: $i] :
              ( ~ ( r4 @ SV137 @ SY392 )
              | ( good_in_maths @ SV80 @ SY392 ) ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[867]) ).

thf(981,plain,
    ! [SV14: $i,SV80: mu,SV237: $i,SV137: $i] :
      ( ( ( ~ ( r4 @ SV137 @ SV237 )
          | ( good_in_maths @ SV80 @ SV237 ) )
        = $true )
      | ( ( mathematician @ SV80 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $false )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[868]) ).

thf(982,plain,
    ! [SV81: $i > $o,SV196: $i,SV15: $i] :
      ( ( ( r3 @ SV15 @ SV196 )
        = $false )
      | ( ( ! [SY434: $i] :
              ( ~ ( r2 @ SV196 @ SY434 )
              | ( SV81 @ SY434 ) ) )
        = $true )
      | ( ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[869]) ).

thf(983,plain,
    ! [SV15: $i,SV81: $i > $o,SV238: $i,SV161: $i] :
      ( ( ( ~ ( r2 @ SV161 @ SV238 )
          | ( SV81 @ SV238 ) )
        = $true )
      | ( ( r3 @ SV15 @ SV161 )
        = $false )
      | ( ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[870]) ).

thf(984,plain,
    ! [SV82: $i > $o,SV197: $i,SV16: $i] :
      ( ( ( r1 @ SV16 @ SV197 )
        = $false )
      | ( ( ! [SY435: $i] :
              ( ~ ( r3 @ SV197 @ SY435 )
              | ( SV82 @ SY435 ) ) )
        = $true )
      | ( ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[871]) ).

thf(985,plain,
    ! [SV16: $i,SV82: $i > $o,SV239: $i,SV162: $i] :
      ( ( ( ~ ( r3 @ SV162 @ SV239 )
          | ( SV82 @ SV239 ) )
        = $true )
      | ( ( r1 @ SV16 @ SV162 )
        = $false )
      | ( ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[872]) ).

thf(986,plain,
    ! [SV83: $i > $o,SV198: $i,SV17: $i] :
      ( ( ( r5 @ SV17 @ SV198 )
        = $false )
      | ( ( ! [SY436: $i] :
              ( ~ ( r1 @ SV198 @ SY436 )
              | ( SV83 @ SY436 ) ) )
        = $true )
      | ( ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[873]) ).

thf(987,plain,
    ! [SV17: $i,SV83: $i > $o,SV240: $i,SV163: $i] :
      ( ( ( ~ ( r1 @ SV163 @ SV240 )
          | ( SV83 @ SV240 ) )
        = $true )
      | ( ( r5 @ SV17 @ SV163 )
        = $false )
      | ( ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[874]) ).

thf(988,plain,
    ! [SV150: $i,SV84: $i > $o,SV225: $i,SV18: $i] :
      ( ( ( ~ ( r2 @ SV18 @ SV225 ) )
        = $true )
      | ( ( ~ ! [SY455: $i] :
                ( ~ ( r2 @ SV225 @ SY455 )
                | ( SV84 @ SY455 ) ) )
        = $true )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[875]) ).

thf(989,plain,
    ! [SV86: $i > $o,SV199: $i,SV20: $i] :
      ( ( ( r2 @ SV20 @ SV199 )
        = $false )
      | ( ( ! [SY437: $i] :
              ( ~ ( r1 @ SV199 @ SY437 )
              | ( SV86 @ SY437 ) ) )
        = $true )
      | ( ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[876]) ).

thf(990,plain,
    ! [SV20: $i,SV86: $i > $o,SV241: $i,SV164: $i] :
      ( ( ( ~ ( r1 @ SV164 @ SV241 )
          | ( SV86 @ SV241 ) )
        = $true )
      | ( ( r2 @ SV20 @ SV164 )
        = $false )
      | ( ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[877]) ).

thf(991,plain,
    ! [SV87: $i > $o,SV200: $i,SV21: $i] :
      ( ( ( r1 @ SV21 @ SV200 )
        = $false )
      | ( ( SV87 @ SV200 )
        = $true )
      | ( ( r4 @ SV21 @ ( sK14_SY274 @ SV87 @ SV21 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[878]) ).

thf(992,plain,
    ! [SV88: mu,SV22: $i,SV138: $i] :
      ( ( ( ~ ( r1 @ SV138 @ ( sK57_SY393 @ SV22 @ SV88 @ SV138 ) ) )
        = $false )
      | ( ( maths_student @ SV88 @ SV138 )
        = $false )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[880]) ).

thf(993,plain,
    ! [SV138: $i,SV22: $i,SV88: mu] :
      ( ( ( ~ ( good_in_maths @ SV88 @ ( sK57_SY393 @ SV22 @ SV88 @ SV138 ) ) )
        = $false )
      | ( ( maths_student @ SV88 @ SV138 )
        = $false )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[880]) ).

thf(994,plain,
    ! [SV89: $i > $o,SV201: $i,SV23: $i] :
      ( ( ( r4 @ SV23 @ SV201 )
        = $false )
      | ( ( ! [SY438: $i] :
              ( ~ ( r1 @ SV201 @ SY438 )
              | ( SV89 @ SY438 ) ) )
        = $true )
      | ( ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[881]) ).

thf(995,plain,
    ! [SV23: $i,SV89: $i > $o,SV242: $i,SV166: $i] :
      ( ( ( ~ ( r1 @ SV166 @ SV242 )
          | ( SV89 @ SV242 ) )
        = $true )
      | ( ( r4 @ SV23 @ SV166 )
        = $false )
      | ( ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[882]) ).

thf(996,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( ~ ( r4 @ SV24 @ ( sK58_SY282 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[883]) ).

thf(997,plain,
    ! [SV24: $i,SV90: $i > $o] :
      ( ( ( ~ ( SV90 @ ( sK58_SY282 @ SV90 @ SV24 ) ) )
        = $false )
      | ( ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[883]) ).

thf(998,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( r4 @ SV24 @ ( sK49_SY282 @ SV90 @ SV24 ) )
        = $true )
      | ( ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[884]) ).

thf(999,plain,
    ! [SV24: $i,SV90: $i > $o] :
      ( ( ( SV90 @ ( sK49_SY282 @ SV90 @ SV24 ) )
        = $true )
      | ( ( SV90 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[885]) ).

thf(1000,plain,
    ! [SV151: $i,SV91: $i > $o,SV226: $i,SV25: $i] :
      ( ( ( ~ ( r4 @ SV25 @ SV226 ) )
        = $true )
      | ( ( ~ ! [SY456: $i] :
                ( ~ ( r4 @ SV226 @ SY456 )
                | ( SV91 @ SY456 ) ) )
        = $true )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[886]) ).

thf(1001,plain,
    ! [SV93: $i > $o,SV202: $i,SV27: $i] :
      ( ( ( r3 @ SV27 @ SV202 )
        = $false )
      | ( ( ! [SY439: $i] :
              ( ~ ( r5 @ SV202 @ SY439 )
              | ( SV93 @ SY439 ) ) )
        = $true )
      | ( ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[887]) ).

thf(1002,plain,
    ! [SV27: $i,SV93: $i > $o,SV243: $i,SV167: $i] :
      ( ( ( ~ ( r5 @ SV167 @ SV243 )
          | ( SV93 @ SV243 ) )
        = $true )
      | ( ( r3 @ SV27 @ SV167 )
        = $false )
      | ( ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[888]) ).

thf(1003,plain,
    ! [SV94: mu,SV28: $i,SV139: $i] :
      ( ( ( ~ ( r1 @ SV139 @ ( sK59_SY394 @ SV28 @ SV94 @ SV139 ) ) )
        = $false )
      | ( ( physics_student @ SV94 @ SV139 )
        = $false )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[889]) ).

thf(1004,plain,
    ! [SV139: $i,SV28: $i,SV94: mu] :
      ( ( ( ~ ( good_in_physics @ SV94 @ ( sK59_SY394 @ SV28 @ SV94 @ SV139 ) ) )
        = $false )
      | ( ( physics_student @ SV94 @ SV139 )
        = $false )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[889]) ).

thf(1005,plain,
    ! [SV95: $i > $o,SV203: $i,SV29: $i] :
      ( ( ( r3 @ SV29 @ SV203 )
        = $false )
      | ( ( ! [SY440: $i] :
              ( ~ ( r3 @ SV203 @ SY440 )
              | ( SV95 @ SY440 ) ) )
        = $true )
      | ( ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[890]) ).

thf(1006,plain,
    ! [SV29: $i,SV95: $i > $o,SV244: $i,SV168: $i] :
      ( ( ( ~ ( r3 @ SV168 @ SV244 )
          | ( SV95 @ SV244 ) )
        = $true )
      | ( ( r3 @ SV29 @ SV168 )
        = $false )
      | ( ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[891]) ).

thf(1007,plain,
    ! [SV96: mu,SV30: $i,SV140: $i] :
      ( ( ( ~ ( r3 @ SV140 @ ( sK60_SY395 @ SV30 @ SV96 @ SV140 ) ) )
        = $false )
      | ( ( maths_student @ SV96 @ SV140 )
        = $false )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[892]) ).

thf(1008,plain,
    ! [SV140: $i,SV30: $i,SV96: mu] :
      ( ( ( ~ ( good_in_maths @ SV96 @ ( sK60_SY395 @ SV30 @ SV96 @ SV140 ) ) )
        = $false )
      | ( ( maths_student @ SV96 @ SV140 )
        = $false )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[892]) ).

thf(1009,plain,
    ! [SV97: $i > $o,SV204: $i,SV31: $i] :
      ( ( ( r1 @ SV31 @ SV204 )
        = $false )
      | ( ( SV97 @ SV204 )
        = $true )
      | ( ( r2 @ SV31 @ ( sK19_SY297 @ SV97 @ SV31 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[893]) ).

thf(1010,plain,
    ! [SV98: $i > $o,SV205: $i,SV32: $i] :
      ( ( ( r2 @ SV32 @ SV205 )
        = $false )
      | ( ( SV98 @ SV205 )
        = $true )
      | ( ( r4 @ SV32 @ ( sK20_SY299 @ SV98 @ SV32 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[895]) ).

thf(1011,plain,
    ! [SV99: mu,SV33: $i,SV141: $i] :
      ( ( ( ~ ( r4 @ SV141 @ ( sK61_SY396 @ SV33 @ SV99 @ SV141 ) ) )
        = $false )
      | ( ( maths_student @ SV99 @ SV141 )
        = $false )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[897]) ).

thf(1012,plain,
    ! [SV141: $i,SV33: $i,SV99: mu] :
      ( ( ( ~ ( good_in_maths @ SV99 @ ( sK61_SY396 @ SV33 @ SV99 @ SV141 ) ) )
        = $false )
      | ( ( maths_student @ SV99 @ SV141 )
        = $false )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[897]) ).

thf(1013,plain,
    ! [SV152: $i,SV101: $i > $o,SV227: $i,SV35: $i] :
      ( ( ( ~ ( r3 @ SV35 @ SV227 ) )
        = $true )
      | ( ( ~ ! [SY457: $i] :
                ( ~ ( r3 @ SV227 @ SY457 )
                | ( SV101 @ SY457 ) ) )
        = $true )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[898]) ).

thf(1014,plain,
    ! [SV102: mu,SV36: $i,SV142: $i] :
      ( ( ( ~ ( r2 @ SV142 @ ( sK62_SY397 @ SV36 @ SV102 @ SV142 ) ) )
        = $false )
      | ( ( physics_student @ SV102 @ SV142 )
        = $false )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[899]) ).

thf(1015,plain,
    ! [SV142: $i,SV36: $i,SV102: mu] :
      ( ( ( ~ ( good_in_physics @ SV102 @ ( sK62_SY397 @ SV36 @ SV102 @ SV142 ) ) )
        = $false )
      | ( ( physics_student @ SV102 @ SV142 )
        = $false )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[899]) ).

thf(1016,plain,
    ! [SV103: $i > $o,SV206: $i,SV37: $i] :
      ( ( ( r1 @ SV37 @ SV206 )
        = $false )
      | ( ( ! [SY441: $i] :
              ( ~ ( r2 @ SV206 @ SY441 )
              | ( SV103 @ SY441 ) ) )
        = $true )
      | ( ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[900]) ).

thf(1017,plain,
    ! [SV37: $i,SV103: $i > $o,SV245: $i,SV171: $i] :
      ( ( ( ~ ( r2 @ SV171 @ SV245 )
          | ( SV103 @ SV245 ) )
        = $true )
      | ( ( r1 @ SV37 @ SV171 )
        = $false )
      | ( ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[901]) ).

thf(1018,plain,
    ! [SV104: $i > $o,SV207: $i,SV38: $i] :
      ( ( ( r1 @ SV38 @ SV207 )
        = $false )
      | ( ( ! [SY442: $i] :
              ( ~ ( r1 @ SV207 @ SY442 )
              | ( SV104 @ SY442 ) ) )
        = $true )
      | ( ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[902]) ).

thf(1019,plain,
    ! [SV38: $i,SV104: $i > $o,SV246: $i,SV172: $i] :
      ( ( ( ~ ( r1 @ SV172 @ SV246 )
          | ( SV104 @ SV246 ) )
        = $true )
      | ( ( r1 @ SV38 @ SV172 )
        = $false )
      | ( ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[903]) ).

thf(1020,plain,
    ! [SV105: $i > $o,SV208: $i,SV39: $i] :
      ( ( ( r5 @ SV39 @ SV208 )
        = $false )
      | ( ( ! [SY443: $i] :
              ( ~ ( r5 @ SV208 @ SY443 )
              | ( SV105 @ SY443 ) ) )
        = $true )
      | ( ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[904]) ).

thf(1021,plain,
    ! [SV39: $i,SV105: $i > $o,SV247: $i,SV173: $i] :
      ( ( ( ~ ( r5 @ SV173 @ SV247 )
          | ( SV105 @ SV247 ) )
        = $true )
      | ( ( r5 @ SV39 @ SV173 )
        = $false )
      | ( ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[905]) ).

thf(1022,plain,
    ! [SV106: $i > $o,SV209: $i,SV40: $i] :
      ( ( ( r3 @ SV40 @ SV209 )
        = $false )
      | ( ( ! [SY444: $i] :
              ( ~ ( r1 @ SV209 @ SY444 )
              | ( SV106 @ SY444 ) ) )
        = $true )
      | ( ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[906]) ).

thf(1023,plain,
    ! [SV40: $i,SV106: $i > $o,SV248: $i,SV174: $i] :
      ( ( ( ~ ( r1 @ SV174 @ SV248 )
          | ( SV106 @ SV248 ) )
        = $true )
      | ( ( r3 @ SV40 @ SV174 )
        = $false )
      | ( ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[907]) ).

thf(1024,plain,
    ! [SV107: $i > $o,SV210: $i,SV41: $i] :
      ( ( ( r4 @ SV41 @ SV210 )
        = $false )
      | ( ( ! [SY445: $i] :
              ( ~ ( r5 @ SV210 @ SY445 )
              | ( SV107 @ SY445 ) ) )
        = $true )
      | ( ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[908]) ).

thf(1025,plain,
    ! [SV41: $i,SV107: $i > $o,SV249: $i,SV175: $i] :
      ( ( ( ~ ( r5 @ SV175 @ SV249 )
          | ( SV107 @ SV249 ) )
        = $true )
      | ( ( r4 @ SV41 @ SV175 )
        = $false )
      | ( ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[909]) ).

thf(1026,plain,
    ! [SV108: $i > $o,SV211: $i,SV42: $i] :
      ( ( ( r1 @ SV42 @ SV211 )
        = $false )
      | ( ( ! [SY446: $i] :
              ( ~ ( r5 @ SV211 @ SY446 )
              | ( SV108 @ SY446 ) ) )
        = $true )
      | ( ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[910]) ).

thf(1027,plain,
    ! [SV42: $i,SV108: $i > $o,SV250: $i,SV176: $i] :
      ( ( ( ~ ( r5 @ SV176 @ SV250 )
          | ( SV108 @ SV250 ) )
        = $true )
      | ( ( r1 @ SV42 @ SV176 )
        = $false )
      | ( ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[911]) ).

thf(1028,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( ~ ( r2 @ SV44 @ ( sK63_SY329 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[912]) ).

thf(1029,plain,
    ! [SV44: $i,SV110: $i > $o] :
      ( ( ( ~ ( SV110 @ ( sK63_SY329 @ SV110 @ SV44 ) ) )
        = $false )
      | ( ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[912]) ).

thf(1030,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( r2 @ SV44 @ ( sK50_SY329 @ SV110 @ SV44 ) )
        = $true )
      | ( ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[913]) ).

thf(1031,plain,
    ! [SV44: $i,SV110: $i > $o] :
      ( ( ( SV110 @ ( sK50_SY329 @ SV110 @ SV44 ) )
        = $true )
      | ( ( SV110 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[914]) ).

thf(1032,plain,
    ! [SV111: $i > $o,SV212: $i,SV45: $i] :
      ( ( ( r4 @ SV45 @ SV212 )
        = $false )
      | ( ( ! [SY447: $i] :
              ( ~ ( r3 @ SV212 @ SY447 )
              | ( SV111 @ SY447 ) ) )
        = $true )
      | ( ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[915]) ).

thf(1033,plain,
    ! [SV45: $i,SV111: $i > $o,SV251: $i,SV177: $i] :
      ( ( ( ~ ( r3 @ SV177 @ SV251 )
          | ( SV111 @ SV251 ) )
        = $true )
      | ( ( r4 @ SV45 @ SV177 )
        = $false )
      | ( ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[916]) ).

thf(1034,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( ~ ( r3 @ SV46 @ ( sK64_SY334 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[917]) ).

thf(1035,plain,
    ! [SV46: $i,SV112: $i > $o] :
      ( ( ( ~ ( SV112 @ ( sK64_SY334 @ SV112 @ SV46 ) ) )
        = $false )
      | ( ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[917]) ).

thf(1036,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( r3 @ SV46 @ ( sK51_SY334 @ SV112 @ SV46 ) )
        = $true )
      | ( ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[918]) ).

thf(1037,plain,
    ! [SV46: $i,SV112: $i > $o] :
      ( ( ( SV112 @ ( sK51_SY334 @ SV112 @ SV46 ) )
        = $true )
      | ( ( SV112 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[919]) ).

thf(1038,plain,
    ! [SV113: mu,SV47: $i,SV143: $i] :
      ( ( ( r2 @ SV143 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $true )
      | ( ( ! [SY399: $i] :
              ( ~ ( r2 @ SV143 @ SY399 )
              | ( good_in_maths @ SV113 @ SY399 ) ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[920]) ).

thf(1039,plain,
    ! [SV47: $i,SV113: mu,SV252: $i,SV143: $i] :
      ( ( ( ~ ( r2 @ SV143 @ SV252 )
          | ( good_in_maths @ SV113 @ SV252 ) )
        = $true )
      | ( ( mathematician @ SV113 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $false )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[921]) ).

thf(1040,plain,
    ! [SV114: $i > $o,SV213: $i,SV48: $i] :
      ( ( ( r5 @ SV48 @ SV213 )
        = $false )
      | ( ( ! [SY448: $i] :
              ( ~ ( r3 @ SV213 @ SY448 )
              | ( SV114 @ SY448 ) ) )
        = $true )
      | ( ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[922]) ).

thf(1041,plain,
    ! [SV48: $i,SV114: $i > $o,SV253: $i,SV178: $i] :
      ( ( ( ~ ( r3 @ SV178 @ SV253 )
          | ( SV114 @ SV253 ) )
        = $true )
      | ( ( r5 @ SV48 @ SV178 )
        = $false )
      | ( ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[923]) ).

thf(1042,plain,
    ! [SV115: $i > $o,SV214: $i,SV49: $i] :
      ( ( ( r2 @ SV49 @ SV214 )
        = $false )
      | ( ( ! [SY449: $i] :
              ( ~ ( r5 @ SV214 @ SY449 )
              | ( SV115 @ SY449 ) ) )
        = $true )
      | ( ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[924]) ).

thf(1043,plain,
    ! [SV49: $i,SV115: $i > $o,SV254: $i,SV179: $i] :
      ( ( ( ~ ( r5 @ SV179 @ SV254 )
          | ( SV115 @ SV254 ) )
        = $true )
      | ( ( r2 @ SV49 @ SV179 )
        = $false )
      | ( ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[925]) ).

thf(1044,plain,
    ! [SV116: mu,SV50: $i,SV144: $i] :
      ( ( ( ~ ( r4 @ SV144 @ ( sK65_SY400 @ SV50 @ SV116 @ SV144 ) ) )
        = $false )
      | ( ( physics_student @ SV116 @ SV144 )
        = $false )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[926]) ).

thf(1045,plain,
    ! [SV144: $i,SV50: $i,SV116: mu] :
      ( ( ( ~ ( good_in_physics @ SV116 @ ( sK65_SY400 @ SV50 @ SV116 @ SV144 ) ) )
        = $false )
      | ( ( physics_student @ SV116 @ SV144 )
        = $false )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[926]) ).

thf(1046,plain,
    ! [SV117: $i > $o,SV215: $i,SV52: $i] :
      ( ( ( r2 @ SV52 @ SV215 )
        = $false )
      | ( ( ! [SY450: $i] :
              ( ~ ( r3 @ SV215 @ SY450 )
              | ( SV117 @ SY450 ) ) )
        = $true )
      | ( ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[927]) ).

thf(1047,plain,
    ! [SV52: $i,SV117: $i > $o,SV255: $i,SV180: $i] :
      ( ( ( ~ ( r3 @ SV180 @ SV255 )
          | ( SV117 @ SV255 ) )
        = $true )
      | ( ( r2 @ SV52 @ SV180 )
        = $false )
      | ( ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[928]) ).

thf(1048,plain,
    ! [SV118: $i > $o,SV216: $i,SV53: $i] :
      ( ( ( r5 @ SV53 @ SV216 )
        = $false )
      | ( ( ! [SY451: $i] :
              ( ~ ( r4 @ SV216 @ SY451 )
              | ( SV118 @ SY451 ) ) )
        = $true )
      | ( ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[929]) ).

thf(1049,plain,
    ! [SV53: $i,SV118: $i > $o,SV256: $i,SV181: $i] :
      ( ( ( ~ ( r4 @ SV181 @ SV256 )
          | ( SV118 @ SV256 ) )
        = $true )
      | ( ( r5 @ SV53 @ SV181 )
        = $false )
      | ( ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[930]) ).

thf(1050,plain,
    ! [SV153: $i,SV119: $i > $o,SV228: $i,SV54: $i] :
      ( ( ( ~ ( r5 @ SV54 @ SV228 ) )
        = $true )
      | ( ( ~ ! [SY458: $i] :
                ( ~ ( r5 @ SV228 @ SY458 )
                | ( SV119 @ SY458 ) ) )
        = $true )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[931]) ).

thf(1051,plain,
    ! [SV120: $i > $o,SV217: $i,SV55: $i] :
      ( ( ( r4 @ SV55 @ SV217 )
        = $false )
      | ( ( SV120 @ SV217 )
        = $true )
      | ( ( r5 @ SV55 @ ( sK34_SY355 @ SV120 @ SV55 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[932]) ).

thf(1052,plain,
    ! [SV121: $i > $o,SV218: $i,SV56: $i] :
      ( ( ( r2 @ SV56 @ SV218 )
        = $false )
      | ( ( SV121 @ SV218 )
        = $true )
      | ( ( r3 @ SV56 @ ( sK35_SY357 @ SV121 @ SV56 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[934]) ).

thf(1053,plain,
    ! [SV122: mu,SV57: $i,SV145: $i] :
      ( ( ( ~ ( r5 @ SV145 @ ( sK66_SY401 @ SV57 @ SV122 @ SV145 ) ) )
        = $false )
      | ( ( physics_student @ SV122 @ SV145 )
        = $false )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[936]) ).

thf(1054,plain,
    ! [SV145: $i,SV57: $i,SV122: mu] :
      ( ( ( ~ ( good_in_physics @ SV122 @ ( sK66_SY401 @ SV57 @ SV122 @ SV145 ) ) )
        = $false )
      | ( ( physics_student @ SV122 @ SV145 )
        = $false )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[936]) ).

thf(1055,plain,
    ! [SV123: $i > $o,SV219: $i,SV58: $i] :
      ( ( ( r2 @ SV58 @ SV219 )
        = $false )
      | ( ( ! [SY452: $i] :
              ( ~ ( r4 @ SV219 @ SY452 )
              | ( SV123 @ SY452 ) ) )
        = $true )
      | ( ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[937]) ).

thf(1056,plain,
    ! [SV58: $i,SV123: $i > $o,SV257: $i,SV184: $i] :
      ( ( ( ~ ( r4 @ SV184 @ SV257 )
          | ( SV123 @ SV257 ) )
        = $true )
      | ( ( r2 @ SV58 @ SV184 )
        = $false )
      | ( ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[938]) ).

thf(1057,plain,
    ! [SV154: $i,SV124: $i > $o,SV229: $i,SV59: $i] :
      ( ( ( ~ ( r1 @ SV59 @ SV229 ) )
        = $true )
      | ( ( ~ ! [SY459: $i] :
                ( ~ ( r1 @ SV229 @ SY459 )
                | ( SV124 @ SY459 ) ) )
        = $true )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[939]) ).

thf(1058,plain,
    ! [SV125: mu,SV60: $i,SV146: $i] :
      ( ( ( ~ ( r2 @ SV146 @ ( sK67_SY402 @ SV60 @ SV125 @ SV146 ) ) )
        = $false )
      | ( ( maths_student @ SV125 @ SV146 )
        = $false )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[940]) ).

thf(1059,plain,
    ! [SV146: $i,SV60: $i,SV125: mu] :
      ( ( ( ~ ( good_in_maths @ SV125 @ ( sK67_SY402 @ SV60 @ SV125 @ SV146 ) ) )
        = $false )
      | ( ( maths_student @ SV125 @ SV146 )
        = $false )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[940]) ).

thf(1060,plain,
    ! [SV126: $i > $o,SV220: $i,SV61: $i] :
      ( ( ( r4 @ SV61 @ SV220 )
        = $false )
      | ( ( ! [SY453: $i] :
              ( ~ ( r4 @ SV220 @ SY453 )
              | ( SV126 @ SY453 ) ) )
        = $true )
      | ( ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[941]) ).

thf(1061,plain,
    ! [SV61: $i,SV126: $i > $o,SV258: $i,SV185: $i] :
      ( ( ( ~ ( r4 @ SV185 @ SV258 )
          | ( SV126 @ SV258 ) )
        = $true )
      | ( ( r4 @ SV61 @ SV185 )
        = $false )
      | ( ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[942]) ).

thf(1062,plain,
    ! [SV127: $i > $o,SV221: $i,SV62: $i] :
      ( ( ( r1 @ SV62 @ SV221 )
        = $false )
      | ( ( ! [SY454: $i] :
              ( ~ ( r4 @ SV221 @ SY454 )
              | ( SV127 @ SY454 ) ) )
        = $true )
      | ( ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[943]) ).

thf(1063,plain,
    ! [SV62: $i,SV127: $i > $o,SV259: $i,SV186: $i] :
      ( ( ( ~ ( r4 @ SV186 @ SV259 )
          | ( SV127 @ SV259 ) )
        = $true )
      | ( ( r1 @ SV62 @ SV186 )
        = $false )
      | ( ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[944]) ).

thf(1064,plain,
    ! [SV128: $i > $o,SV222: $i,SV63: $i] :
      ( ( ( r2 @ SV63 @ SV222 )
        = $false )
      | ( ( SV128 @ SV222 )
        = $true )
      | ( ( r5 @ SV63 @ ( sK39_SY375 @ SV128 @ SV63 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[945]) ).

thf(1065,plain,
    ! [SV129: $i > $o,SV223: $i,SV64: $i] :
      ( ( ( r3 @ SV64 @ SV223 )
        = $false )
      | ( ( SV129 @ SV223 )
        = $true )
      | ( ( r4 @ SV64 @ ( sK40_SY377 @ SV129 @ SV64 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[947]) ).

thf(1066,plain,
    ! [SV130: $i > $o,SV224: $i,SV65: $i] :
      ( ( ( r3 @ SV65 @ SV224 )
        = $false )
      | ( ( SV130 @ SV224 )
        = $true )
      | ( ( r5 @ SV65 @ ( sK41_SY379 @ SV130 @ SV65 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[949]) ).

thf(1067,plain,
    ! [SV131: mu,SV66: $i,SV147: $i] :
      ( ( ( ~ ( r5 @ SV147 @ ( sK68_SY403 @ SV66 @ SV131 @ SV147 ) ) )
        = $false )
      | ( ( maths_student @ SV131 @ SV147 )
        = $false )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[951]) ).

thf(1068,plain,
    ! [SV147: $i,SV66: $i,SV131: mu] :
      ( ( ( ~ ( good_in_maths @ SV131 @ ( sK68_SY403 @ SV66 @ SV131 @ SV147 ) ) )
        = $false )
      | ( ( maths_student @ SV131 @ SV147 )
        = $false )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[951]) ).

thf(1069,plain,
    ! [SV67: mu,SV1: $i,SV132: $i] :
      ( ( ( r2 @ SV132 @ ( sK53_SY383 @ SV1 @ SV67 @ SV132 ) )
        = $true )
      | ( ( good_in_physics @ SV67 @ SV132 )
        = $false )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[952]) ).

thf(1070,plain,
    ! [SV132: $i,SV1: $i,SV67: mu] :
      ( ( ( good_in_maths @ SV67 @ ( sK53_SY383 @ SV1 @ SV67 @ SV132 ) )
        = $true )
      | ( ( good_in_physics @ SV67 @ SV132 )
        = $false )
      | ( ( r2 @ SV1 @ SV132 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[953]) ).

thf(1071,plain,
    ! [SV68: mu,SV2: $i,SV133: $i] :
      ( ( ( r3 @ SV133 @ ( sK54_SY384 @ SV2 @ SV68 @ SV133 ) )
        = $true )
      | ( ( physics_student @ SV68 @ SV133 )
        = $false )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[954]) ).

thf(1072,plain,
    ! [SV133: $i,SV2: $i,SV68: mu] :
      ( ( ( good_in_physics @ SV68 @ ( sK54_SY384 @ SV2 @ SV68 @ SV133 ) )
        = $true )
      | ( ( physics_student @ SV68 @ SV133 )
        = $false )
      | ( ( r3 @ SV2 @ SV133 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[955]) ).

thf(1073,plain,
    ! [SV3: $i,SV69: $i > $o,SV260: $i,SV190: $i] :
      ( ( ( ~ ( r2 @ SV190 @ SV260 )
          | ( SV69 @ SV260 ) )
        = $true )
      | ( ( r5 @ SV3 @ SV190 )
        = $false )
      | ( ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[956]) ).

thf(1074,plain,
    ! [SV3: $i,SV69: $i > $o,SV230: $i,SV155: $i] :
      ( ( ( ~ ( r2 @ SV155 @ SV230 ) )
        = $true )
      | ( ( SV69 @ SV230 )
        = $true )
      | ( ( r5 @ SV3 @ SV155 )
        = $false )
      | ( ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[957]) ).

thf(1075,plain,
    ! [SV70: $i > $o,SV4: $i] :
      ( ( ( r5 @ SV4 @ ( sK55_SY231 @ SV70 @ SV4 ) )
        = $true )
      | ( ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[958]) ).

thf(1076,plain,
    ! [SV4: $i,SV70: $i > $o] :
      ( ( ( SV70 @ ( sK55_SY231 @ SV70 @ SV4 ) )
        = $true )
      | ( ( r5 @ SV4 @ ( sK3_SY230 @ SV70 @ SV4 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[959]) ).

thf(1077,plain,
    ! [SV5: $i,SV71: $i > $o,SV261: $i,SV191: $i] :
      ( ( ( ~ ( r2 @ SV191 @ SV261 )
          | ( SV71 @ SV261 ) )
        = $true )
      | ( ( r4 @ SV5 @ SV191 )
        = $false )
      | ( ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[962]) ).

thf(1078,plain,
    ! [SV5: $i,SV71: $i > $o,SV231: $i,SV156: $i] :
      ( ( ( ~ ( r2 @ SV156 @ SV231 ) )
        = $true )
      | ( ( SV71 @ SV231 )
        = $true )
      | ( ( r4 @ SV5 @ SV156 )
        = $false )
      | ( ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[963]) ).

thf(1079,plain,
    ! [SV74: $i > $o,SV8: $i] :
      ( ( ( r1 @ SV8 @ ( sK56_SY240 @ SV74 @ SV8 ) )
        = $true )
      | ( ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[966]) ).

thf(1080,plain,
    ! [SV8: $i,SV74: $i > $o] :
      ( ( ( SV74 @ ( sK56_SY240 @ SV74 @ SV8 ) )
        = $true )
      | ( ( r1 @ SV8 @ ( sK7_SY239 @ SV74 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[967]) ).

thf(1081,plain,
    ! [SV9: $i,SV75: mu,SV262: $i,SV134: $i] :
      ( ( ( ~ ( r3 @ SV134 @ SV262 )
          | ( good_in_maths @ SV75 @ SV262 ) )
        = $true )
      | ( ( r3 @ SV134 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[970]) ).

thf(1082,plain,
    ! [SV9: $i,SV75: mu,SV232: $i,SV134: $i] :
      ( ( ( ~ ( r3 @ SV134 @ SV232 ) )
        = $true )
      | ( ( good_in_maths @ SV75 @ SV232 )
        = $true )
      | ( ( mathematician @ SV75 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $false )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[971]) ).

thf(1083,plain,
    ! [SV10: $i,SV76: mu,SV263: $i,SV135: $i] :
      ( ( ( ~ ( r1 @ SV135 @ SV263 )
          | ( good_in_maths @ SV76 @ SV263 ) )
        = $true )
      | ( ( r1 @ SV135 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[972]) ).

thf(1084,plain,
    ! [SV10: $i,SV76: mu,SV233: $i,SV135: $i] :
      ( ( ( ~ ( r1 @ SV135 @ SV233 ) )
        = $true )
      | ( ( good_in_maths @ SV76 @ SV233 )
        = $true )
      | ( ( mathematician @ SV76 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $false )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[973]) ).

thf(1085,plain,
    ! [SV11: $i,SV77: $i > $o,SV264: $i,SV194: $i] :
      ( ( ( ~ ( r4 @ SV194 @ SV264 )
          | ( SV77 @ SV264 ) )
        = $true )
      | ( ( r3 @ SV11 @ SV194 )
        = $false )
      | ( ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[974]) ).

thf(1086,plain,
    ! [SV11: $i,SV77: $i > $o,SV234: $i,SV159: $i] :
      ( ( ( ~ ( r4 @ SV159 @ SV234 ) )
        = $true )
      | ( ( SV77 @ SV234 )
        = $true )
      | ( ( r3 @ SV11 @ SV159 )
        = $false )
      | ( ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[975]) ).

thf(1087,plain,
    ! [SV12: $i,SV78: mu,SV265: $i,SV136: $i] :
      ( ( ( ~ ( r5 @ SV136 @ SV265 )
          | ( good_in_maths @ SV78 @ SV265 ) )
        = $true )
      | ( ( r5 @ SV136 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[976]) ).

thf(1088,plain,
    ! [SV12: $i,SV78: mu,SV235: $i,SV136: $i] :
      ( ( ( ~ ( r5 @ SV136 @ SV235 ) )
        = $true )
      | ( ( good_in_maths @ SV78 @ SV235 )
        = $true )
      | ( ( mathematician @ SV78 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $false )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[977]) ).

thf(1089,plain,
    ! [SV13: $i,SV79: $i > $o,SV266: $i,SV195: $i] :
      ( ( ( ~ ( r2 @ SV195 @ SV266 )
          | ( SV79 @ SV266 ) )
        = $true )
      | ( ( r2 @ SV13 @ SV195 )
        = $false )
      | ( ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[978]) ).

thf(1090,plain,
    ! [SV13: $i,SV79: $i > $o,SV236: $i,SV160: $i] :
      ( ( ( ~ ( r2 @ SV160 @ SV236 ) )
        = $true )
      | ( ( SV79 @ SV236 )
        = $true )
      | ( ( r2 @ SV13 @ SV160 )
        = $false )
      | ( ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[979]) ).

thf(1091,plain,
    ! [SV14: $i,SV80: mu,SV267: $i,SV137: $i] :
      ( ( ( ~ ( r4 @ SV137 @ SV267 )
          | ( good_in_maths @ SV80 @ SV267 ) )
        = $true )
      | ( ( r4 @ SV137 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[980]) ).

thf(1092,plain,
    ! [SV14: $i,SV80: mu,SV237: $i,SV137: $i] :
      ( ( ( ~ ( r4 @ SV137 @ SV237 ) )
        = $true )
      | ( ( good_in_maths @ SV80 @ SV237 )
        = $true )
      | ( ( mathematician @ SV80 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $false )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[981]) ).

thf(1093,plain,
    ! [SV15: $i,SV81: $i > $o,SV268: $i,SV196: $i] :
      ( ( ( ~ ( r2 @ SV196 @ SV268 )
          | ( SV81 @ SV268 ) )
        = $true )
      | ( ( r3 @ SV15 @ SV196 )
        = $false )
      | ( ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[982]) ).

thf(1094,plain,
    ! [SV15: $i,SV81: $i > $o,SV238: $i,SV161: $i] :
      ( ( ( ~ ( r2 @ SV161 @ SV238 ) )
        = $true )
      | ( ( SV81 @ SV238 )
        = $true )
      | ( ( r3 @ SV15 @ SV161 )
        = $false )
      | ( ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[983]) ).

thf(1095,plain,
    ! [SV16: $i,SV82: $i > $o,SV269: $i,SV197: $i] :
      ( ( ( ~ ( r3 @ SV197 @ SV269 )
          | ( SV82 @ SV269 ) )
        = $true )
      | ( ( r1 @ SV16 @ SV197 )
        = $false )
      | ( ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[984]) ).

thf(1096,plain,
    ! [SV16: $i,SV82: $i > $o,SV239: $i,SV162: $i] :
      ( ( ( ~ ( r3 @ SV162 @ SV239 ) )
        = $true )
      | ( ( SV82 @ SV239 )
        = $true )
      | ( ( r1 @ SV16 @ SV162 )
        = $false )
      | ( ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[985]) ).

thf(1097,plain,
    ! [SV17: $i,SV83: $i > $o,SV270: $i,SV198: $i] :
      ( ( ( ~ ( r1 @ SV198 @ SV270 )
          | ( SV83 @ SV270 ) )
        = $true )
      | ( ( r5 @ SV17 @ SV198 )
        = $false )
      | ( ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[986]) ).

thf(1098,plain,
    ! [SV17: $i,SV83: $i > $o,SV240: $i,SV163: $i] :
      ( ( ( ~ ( r1 @ SV163 @ SV240 ) )
        = $true )
      | ( ( SV83 @ SV240 )
        = $true )
      | ( ( r5 @ SV17 @ SV163 )
        = $false )
      | ( ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[987]) ).

thf(1099,plain,
    ! [SV150: $i,SV84: $i > $o,SV225: $i,SV18: $i] :
      ( ( ( r2 @ SV18 @ SV225 )
        = $false )
      | ( ( ~ ! [SY455: $i] :
                ( ~ ( r2 @ SV225 @ SY455 )
                | ( SV84 @ SY455 ) ) )
        = $true )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[988]) ).

thf(1100,plain,
    ! [SV20: $i,SV86: $i > $o,SV271: $i,SV199: $i] :
      ( ( ( ~ ( r1 @ SV199 @ SV271 )
          | ( SV86 @ SV271 ) )
        = $true )
      | ( ( r2 @ SV20 @ SV199 )
        = $false )
      | ( ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[989]) ).

thf(1101,plain,
    ! [SV20: $i,SV86: $i > $o,SV241: $i,SV164: $i] :
      ( ( ( ~ ( r1 @ SV164 @ SV241 ) )
        = $true )
      | ( ( SV86 @ SV241 )
        = $true )
      | ( ( r2 @ SV20 @ SV164 )
        = $false )
      | ( ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[990]) ).

thf(1102,plain,
    ! [SV88: mu,SV22: $i,SV138: $i] :
      ( ( ( r1 @ SV138 @ ( sK57_SY393 @ SV22 @ SV88 @ SV138 ) )
        = $true )
      | ( ( maths_student @ SV88 @ SV138 )
        = $false )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[992]) ).

thf(1103,plain,
    ! [SV138: $i,SV22: $i,SV88: mu] :
      ( ( ( good_in_maths @ SV88 @ ( sK57_SY393 @ SV22 @ SV88 @ SV138 ) )
        = $true )
      | ( ( maths_student @ SV88 @ SV138 )
        = $false )
      | ( ( r3 @ SV22 @ SV138 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[993]) ).

thf(1104,plain,
    ! [SV23: $i,SV89: $i > $o,SV272: $i,SV201: $i] :
      ( ( ( ~ ( r1 @ SV201 @ SV272 )
          | ( SV89 @ SV272 ) )
        = $true )
      | ( ( r4 @ SV23 @ SV201 )
        = $false )
      | ( ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[994]) ).

thf(1105,plain,
    ! [SV23: $i,SV89: $i > $o,SV242: $i,SV166: $i] :
      ( ( ( ~ ( r1 @ SV166 @ SV242 ) )
        = $true )
      | ( ( SV89 @ SV242 )
        = $true )
      | ( ( r4 @ SV23 @ SV166 )
        = $false )
      | ( ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[995]) ).

thf(1106,plain,
    ! [SV90: $i > $o,SV24: $i] :
      ( ( ( r4 @ SV24 @ ( sK58_SY282 @ SV90 @ SV24 ) )
        = $true )
      | ( ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[996]) ).

thf(1107,plain,
    ! [SV24: $i,SV90: $i > $o] :
      ( ( ( SV90 @ ( sK58_SY282 @ SV90 @ SV24 ) )
        = $true )
      | ( ( r4 @ SV24 @ ( sK16_SY281 @ SV90 @ SV24 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[997]) ).

thf(1108,plain,
    ! [SV151: $i,SV91: $i > $o,SV226: $i,SV25: $i] :
      ( ( ( r4 @ SV25 @ SV226 )
        = $false )
      | ( ( ~ ! [SY456: $i] :
                ( ~ ( r4 @ SV226 @ SY456 )
                | ( SV91 @ SY456 ) ) )
        = $true )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1000]) ).

thf(1109,plain,
    ! [SV27: $i,SV93: $i > $o,SV273: $i,SV202: $i] :
      ( ( ( ~ ( r5 @ SV202 @ SV273 )
          | ( SV93 @ SV273 ) )
        = $true )
      | ( ( r3 @ SV27 @ SV202 )
        = $false )
      | ( ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1001]) ).

thf(1110,plain,
    ! [SV27: $i,SV93: $i > $o,SV243: $i,SV167: $i] :
      ( ( ( ~ ( r5 @ SV167 @ SV243 ) )
        = $true )
      | ( ( SV93 @ SV243 )
        = $true )
      | ( ( r3 @ SV27 @ SV167 )
        = $false )
      | ( ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1002]) ).

thf(1111,plain,
    ! [SV94: mu,SV28: $i,SV139: $i] :
      ( ( ( r1 @ SV139 @ ( sK59_SY394 @ SV28 @ SV94 @ SV139 ) )
        = $true )
      | ( ( physics_student @ SV94 @ SV139 )
        = $false )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1003]) ).

thf(1112,plain,
    ! [SV139: $i,SV28: $i,SV94: mu] :
      ( ( ( good_in_physics @ SV94 @ ( sK59_SY394 @ SV28 @ SV94 @ SV139 ) )
        = $true )
      | ( ( physics_student @ SV94 @ SV139 )
        = $false )
      | ( ( r3 @ SV28 @ SV139 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1004]) ).

thf(1113,plain,
    ! [SV29: $i,SV95: $i > $o,SV274: $i,SV203: $i] :
      ( ( ( ~ ( r3 @ SV203 @ SV274 )
          | ( SV95 @ SV274 ) )
        = $true )
      | ( ( r3 @ SV29 @ SV203 )
        = $false )
      | ( ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1005]) ).

thf(1114,plain,
    ! [SV29: $i,SV95: $i > $o,SV244: $i,SV168: $i] :
      ( ( ( ~ ( r3 @ SV168 @ SV244 ) )
        = $true )
      | ( ( SV95 @ SV244 )
        = $true )
      | ( ( r3 @ SV29 @ SV168 )
        = $false )
      | ( ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1006]) ).

thf(1115,plain,
    ! [SV96: mu,SV30: $i,SV140: $i] :
      ( ( ( r3 @ SV140 @ ( sK60_SY395 @ SV30 @ SV96 @ SV140 ) )
        = $true )
      | ( ( maths_student @ SV96 @ SV140 )
        = $false )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1007]) ).

thf(1116,plain,
    ! [SV140: $i,SV30: $i,SV96: mu] :
      ( ( ( good_in_maths @ SV96 @ ( sK60_SY395 @ SV30 @ SV96 @ SV140 ) )
        = $true )
      | ( ( maths_student @ SV96 @ SV140 )
        = $false )
      | ( ( r3 @ SV30 @ SV140 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1008]) ).

thf(1117,plain,
    ! [SV99: mu,SV33: $i,SV141: $i] :
      ( ( ( r4 @ SV141 @ ( sK61_SY396 @ SV33 @ SV99 @ SV141 ) )
        = $true )
      | ( ( maths_student @ SV99 @ SV141 )
        = $false )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1011]) ).

thf(1118,plain,
    ! [SV141: $i,SV33: $i,SV99: mu] :
      ( ( ( good_in_maths @ SV99 @ ( sK61_SY396 @ SV33 @ SV99 @ SV141 ) )
        = $true )
      | ( ( maths_student @ SV99 @ SV141 )
        = $false )
      | ( ( r3 @ SV33 @ SV141 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1012]) ).

thf(1119,plain,
    ! [SV152: $i,SV101: $i > $o,SV227: $i,SV35: $i] :
      ( ( ( r3 @ SV35 @ SV227 )
        = $false )
      | ( ( ~ ! [SY457: $i] :
                ( ~ ( r3 @ SV227 @ SY457 )
                | ( SV101 @ SY457 ) ) )
        = $true )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1013]) ).

thf(1120,plain,
    ! [SV102: mu,SV36: $i,SV142: $i] :
      ( ( ( r2 @ SV142 @ ( sK62_SY397 @ SV36 @ SV102 @ SV142 ) )
        = $true )
      | ( ( physics_student @ SV102 @ SV142 )
        = $false )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1014]) ).

thf(1121,plain,
    ! [SV142: $i,SV36: $i,SV102: mu] :
      ( ( ( good_in_physics @ SV102 @ ( sK62_SY397 @ SV36 @ SV102 @ SV142 ) )
        = $true )
      | ( ( physics_student @ SV102 @ SV142 )
        = $false )
      | ( ( r3 @ SV36 @ SV142 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1015]) ).

thf(1122,plain,
    ! [SV37: $i,SV103: $i > $o,SV275: $i,SV206: $i] :
      ( ( ( ~ ( r2 @ SV206 @ SV275 )
          | ( SV103 @ SV275 ) )
        = $true )
      | ( ( r1 @ SV37 @ SV206 )
        = $false )
      | ( ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1016]) ).

thf(1123,plain,
    ! [SV37: $i,SV103: $i > $o,SV245: $i,SV171: $i] :
      ( ( ( ~ ( r2 @ SV171 @ SV245 ) )
        = $true )
      | ( ( SV103 @ SV245 )
        = $true )
      | ( ( r1 @ SV37 @ SV171 )
        = $false )
      | ( ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1017]) ).

thf(1124,plain,
    ! [SV38: $i,SV104: $i > $o,SV276: $i,SV207: $i] :
      ( ( ( ~ ( r1 @ SV207 @ SV276 )
          | ( SV104 @ SV276 ) )
        = $true )
      | ( ( r1 @ SV38 @ SV207 )
        = $false )
      | ( ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1018]) ).

thf(1125,plain,
    ! [SV38: $i,SV104: $i > $o,SV246: $i,SV172: $i] :
      ( ( ( ~ ( r1 @ SV172 @ SV246 ) )
        = $true )
      | ( ( SV104 @ SV246 )
        = $true )
      | ( ( r1 @ SV38 @ SV172 )
        = $false )
      | ( ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1019]) ).

thf(1126,plain,
    ! [SV39: $i,SV105: $i > $o,SV277: $i,SV208: $i] :
      ( ( ( ~ ( r5 @ SV208 @ SV277 )
          | ( SV105 @ SV277 ) )
        = $true )
      | ( ( r5 @ SV39 @ SV208 )
        = $false )
      | ( ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1020]) ).

thf(1127,plain,
    ! [SV39: $i,SV105: $i > $o,SV247: $i,SV173: $i] :
      ( ( ( ~ ( r5 @ SV173 @ SV247 ) )
        = $true )
      | ( ( SV105 @ SV247 )
        = $true )
      | ( ( r5 @ SV39 @ SV173 )
        = $false )
      | ( ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1021]) ).

thf(1128,plain,
    ! [SV40: $i,SV106: $i > $o,SV278: $i,SV209: $i] :
      ( ( ( ~ ( r1 @ SV209 @ SV278 )
          | ( SV106 @ SV278 ) )
        = $true )
      | ( ( r3 @ SV40 @ SV209 )
        = $false )
      | ( ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1022]) ).

thf(1129,plain,
    ! [SV40: $i,SV106: $i > $o,SV248: $i,SV174: $i] :
      ( ( ( ~ ( r1 @ SV174 @ SV248 ) )
        = $true )
      | ( ( SV106 @ SV248 )
        = $true )
      | ( ( r3 @ SV40 @ SV174 )
        = $false )
      | ( ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1023]) ).

thf(1130,plain,
    ! [SV41: $i,SV107: $i > $o,SV279: $i,SV210: $i] :
      ( ( ( ~ ( r5 @ SV210 @ SV279 )
          | ( SV107 @ SV279 ) )
        = $true )
      | ( ( r4 @ SV41 @ SV210 )
        = $false )
      | ( ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1024]) ).

thf(1131,plain,
    ! [SV41: $i,SV107: $i > $o,SV249: $i,SV175: $i] :
      ( ( ( ~ ( r5 @ SV175 @ SV249 ) )
        = $true )
      | ( ( SV107 @ SV249 )
        = $true )
      | ( ( r4 @ SV41 @ SV175 )
        = $false )
      | ( ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1025]) ).

thf(1132,plain,
    ! [SV42: $i,SV108: $i > $o,SV280: $i,SV211: $i] :
      ( ( ( ~ ( r5 @ SV211 @ SV280 )
          | ( SV108 @ SV280 ) )
        = $true )
      | ( ( r1 @ SV42 @ SV211 )
        = $false )
      | ( ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1026]) ).

thf(1133,plain,
    ! [SV42: $i,SV108: $i > $o,SV250: $i,SV176: $i] :
      ( ( ( ~ ( r5 @ SV176 @ SV250 ) )
        = $true )
      | ( ( SV108 @ SV250 )
        = $true )
      | ( ( r1 @ SV42 @ SV176 )
        = $false )
      | ( ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1027]) ).

thf(1134,plain,
    ! [SV110: $i > $o,SV44: $i] :
      ( ( ( r2 @ SV44 @ ( sK63_SY329 @ SV110 @ SV44 ) )
        = $true )
      | ( ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1028]) ).

thf(1135,plain,
    ! [SV44: $i,SV110: $i > $o] :
      ( ( ( SV110 @ ( sK63_SY329 @ SV110 @ SV44 ) )
        = $true )
      | ( ( r2 @ SV44 @ ( sK27_SY328 @ SV110 @ SV44 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1029]) ).

thf(1136,plain,
    ! [SV45: $i,SV111: $i > $o,SV281: $i,SV212: $i] :
      ( ( ( ~ ( r3 @ SV212 @ SV281 )
          | ( SV111 @ SV281 ) )
        = $true )
      | ( ( r4 @ SV45 @ SV212 )
        = $false )
      | ( ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1032]) ).

thf(1137,plain,
    ! [SV45: $i,SV111: $i > $o,SV251: $i,SV177: $i] :
      ( ( ( ~ ( r3 @ SV177 @ SV251 ) )
        = $true )
      | ( ( SV111 @ SV251 )
        = $true )
      | ( ( r4 @ SV45 @ SV177 )
        = $false )
      | ( ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1033]) ).

thf(1138,plain,
    ! [SV112: $i > $o,SV46: $i] :
      ( ( ( r3 @ SV46 @ ( sK64_SY334 @ SV112 @ SV46 ) )
        = $true )
      | ( ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1034]) ).

thf(1139,plain,
    ! [SV46: $i,SV112: $i > $o] :
      ( ( ( SV112 @ ( sK64_SY334 @ SV112 @ SV46 ) )
        = $true )
      | ( ( r3 @ SV46 @ ( sK29_SY333 @ SV112 @ SV46 ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[1035]) ).

thf(1140,plain,
    ! [SV47: $i,SV113: mu,SV282: $i,SV143: $i] :
      ( ( ( ~ ( r2 @ SV143 @ SV282 )
          | ( good_in_maths @ SV113 @ SV282 ) )
        = $true )
      | ( ( r2 @ SV143 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[1038]) ).

thf(1141,plain,
    ! [SV47: $i,SV113: mu,SV252: $i,SV143: $i] :
      ( ( ( ~ ( r2 @ SV143 @ SV252 ) )
        = $true )
      | ( ( good_in_maths @ SV113 @ SV252 )
        = $true )
      | ( ( mathematician @ SV113 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $false )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1039]) ).

thf(1142,plain,
    ! [SV48: $i,SV114: $i > $o,SV283: $i,SV213: $i] :
      ( ( ( ~ ( r3 @ SV213 @ SV283 )
          | ( SV114 @ SV283 ) )
        = $true )
      | ( ( r5 @ SV48 @ SV213 )
        = $false )
      | ( ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1040]) ).

thf(1143,plain,
    ! [SV48: $i,SV114: $i > $o,SV253: $i,SV178: $i] :
      ( ( ( ~ ( r3 @ SV178 @ SV253 ) )
        = $true )
      | ( ( SV114 @ SV253 )
        = $true )
      | ( ( r5 @ SV48 @ SV178 )
        = $false )
      | ( ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1041]) ).

thf(1144,plain,
    ! [SV49: $i,SV115: $i > $o,SV284: $i,SV214: $i] :
      ( ( ( ~ ( r5 @ SV214 @ SV284 )
          | ( SV115 @ SV284 ) )
        = $true )
      | ( ( r2 @ SV49 @ SV214 )
        = $false )
      | ( ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1042]) ).

thf(1145,plain,
    ! [SV49: $i,SV115: $i > $o,SV254: $i,SV179: $i] :
      ( ( ( ~ ( r5 @ SV179 @ SV254 ) )
        = $true )
      | ( ( SV115 @ SV254 )
        = $true )
      | ( ( r2 @ SV49 @ SV179 )
        = $false )
      | ( ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1043]) ).

thf(1146,plain,
    ! [SV116: mu,SV50: $i,SV144: $i] :
      ( ( ( r4 @ SV144 @ ( sK65_SY400 @ SV50 @ SV116 @ SV144 ) )
        = $true )
      | ( ( physics_student @ SV116 @ SV144 )
        = $false )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1044]) ).

thf(1147,plain,
    ! [SV144: $i,SV50: $i,SV116: mu] :
      ( ( ( good_in_physics @ SV116 @ ( sK65_SY400 @ SV50 @ SV116 @ SV144 ) )
        = $true )
      | ( ( physics_student @ SV116 @ SV144 )
        = $false )
      | ( ( r3 @ SV50 @ SV144 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1045]) ).

thf(1148,plain,
    ! [SV52: $i,SV117: $i > $o,SV285: $i,SV215: $i] :
      ( ( ( ~ ( r3 @ SV215 @ SV285 )
          | ( SV117 @ SV285 ) )
        = $true )
      | ( ( r2 @ SV52 @ SV215 )
        = $false )
      | ( ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1046]) ).

thf(1149,plain,
    ! [SV52: $i,SV117: $i > $o,SV255: $i,SV180: $i] :
      ( ( ( ~ ( r3 @ SV180 @ SV255 ) )
        = $true )
      | ( ( SV117 @ SV255 )
        = $true )
      | ( ( r2 @ SV52 @ SV180 )
        = $false )
      | ( ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1047]) ).

thf(1150,plain,
    ! [SV53: $i,SV118: $i > $o,SV286: $i,SV216: $i] :
      ( ( ( ~ ( r4 @ SV216 @ SV286 )
          | ( SV118 @ SV286 ) )
        = $true )
      | ( ( r5 @ SV53 @ SV216 )
        = $false )
      | ( ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1048]) ).

thf(1151,plain,
    ! [SV53: $i,SV118: $i > $o,SV256: $i,SV181: $i] :
      ( ( ( ~ ( r4 @ SV181 @ SV256 ) )
        = $true )
      | ( ( SV118 @ SV256 )
        = $true )
      | ( ( r5 @ SV53 @ SV181 )
        = $false )
      | ( ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1049]) ).

thf(1152,plain,
    ! [SV153: $i,SV119: $i > $o,SV228: $i,SV54: $i] :
      ( ( ( r5 @ SV54 @ SV228 )
        = $false )
      | ( ( ~ ! [SY458: $i] :
                ( ~ ( r5 @ SV228 @ SY458 )
                | ( SV119 @ SY458 ) ) )
        = $true )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1050]) ).

thf(1153,plain,
    ! [SV122: mu,SV57: $i,SV145: $i] :
      ( ( ( r5 @ SV145 @ ( sK66_SY401 @ SV57 @ SV122 @ SV145 ) )
        = $true )
      | ( ( physics_student @ SV122 @ SV145 )
        = $false )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1053]) ).

thf(1154,plain,
    ! [SV145: $i,SV57: $i,SV122: mu] :
      ( ( ( good_in_physics @ SV122 @ ( sK66_SY401 @ SV57 @ SV122 @ SV145 ) )
        = $true )
      | ( ( physics_student @ SV122 @ SV145 )
        = $false )
      | ( ( r3 @ SV57 @ SV145 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1054]) ).

thf(1155,plain,
    ! [SV58: $i,SV123: $i > $o,SV287: $i,SV219: $i] :
      ( ( ( ~ ( r4 @ SV219 @ SV287 )
          | ( SV123 @ SV287 ) )
        = $true )
      | ( ( r2 @ SV58 @ SV219 )
        = $false )
      | ( ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1055]) ).

thf(1156,plain,
    ! [SV58: $i,SV123: $i > $o,SV257: $i,SV184: $i] :
      ( ( ( ~ ( r4 @ SV184 @ SV257 ) )
        = $true )
      | ( ( SV123 @ SV257 )
        = $true )
      | ( ( r2 @ SV58 @ SV184 )
        = $false )
      | ( ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1056]) ).

thf(1157,plain,
    ! [SV154: $i,SV124: $i > $o,SV229: $i,SV59: $i] :
      ( ( ( r1 @ SV59 @ SV229 )
        = $false )
      | ( ( ~ ! [SY459: $i] :
                ( ~ ( r1 @ SV229 @ SY459 )
                | ( SV124 @ SY459 ) ) )
        = $true )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1057]) ).

thf(1158,plain,
    ! [SV125: mu,SV60: $i,SV146: $i] :
      ( ( ( r2 @ SV146 @ ( sK67_SY402 @ SV60 @ SV125 @ SV146 ) )
        = $true )
      | ( ( maths_student @ SV125 @ SV146 )
        = $false )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1058]) ).

thf(1159,plain,
    ! [SV146: $i,SV60: $i,SV125: mu] :
      ( ( ( good_in_maths @ SV125 @ ( sK67_SY402 @ SV60 @ SV125 @ SV146 ) )
        = $true )
      | ( ( maths_student @ SV125 @ SV146 )
        = $false )
      | ( ( r3 @ SV60 @ SV146 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1059]) ).

thf(1160,plain,
    ! [SV61: $i,SV126: $i > $o,SV288: $i,SV220: $i] :
      ( ( ( ~ ( r4 @ SV220 @ SV288 )
          | ( SV126 @ SV288 ) )
        = $true )
      | ( ( r4 @ SV61 @ SV220 )
        = $false )
      | ( ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1060]) ).

thf(1161,plain,
    ! [SV61: $i,SV126: $i > $o,SV258: $i,SV185: $i] :
      ( ( ( ~ ( r4 @ SV185 @ SV258 ) )
        = $true )
      | ( ( SV126 @ SV258 )
        = $true )
      | ( ( r4 @ SV61 @ SV185 )
        = $false )
      | ( ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1061]) ).

thf(1162,plain,
    ! [SV62: $i,SV127: $i > $o,SV289: $i,SV221: $i] :
      ( ( ( ~ ( r4 @ SV221 @ SV289 )
          | ( SV127 @ SV289 ) )
        = $true )
      | ( ( r1 @ SV62 @ SV221 )
        = $false )
      | ( ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[1062]) ).

thf(1163,plain,
    ! [SV62: $i,SV127: $i > $o,SV259: $i,SV186: $i] :
      ( ( ( ~ ( r4 @ SV186 @ SV259 ) )
        = $true )
      | ( ( SV127 @ SV259 )
        = $true )
      | ( ( r1 @ SV62 @ SV186 )
        = $false )
      | ( ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1063]) ).

thf(1164,plain,
    ! [SV131: mu,SV66: $i,SV147: $i] :
      ( ( ( r5 @ SV147 @ ( sK68_SY403 @ SV66 @ SV131 @ SV147 ) )
        = $true )
      | ( ( maths_student @ SV131 @ SV147 )
        = $false )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1067]) ).

thf(1165,plain,
    ! [SV147: $i,SV66: $i,SV131: mu] :
      ( ( ( good_in_maths @ SV131 @ ( sK68_SY403 @ SV66 @ SV131 @ SV147 ) )
        = $true )
      | ( ( maths_student @ SV131 @ SV147 )
        = $false )
      | ( ( r3 @ SV66 @ SV147 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1068]) ).

thf(1166,plain,
    ! [SV3: $i,SV69: $i > $o,SV260: $i,SV190: $i] :
      ( ( ( ~ ( r2 @ SV190 @ SV260 ) )
        = $true )
      | ( ( SV69 @ SV260 )
        = $true )
      | ( ( r5 @ SV3 @ SV190 )
        = $false )
      | ( ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1073]) ).

thf(1167,plain,
    ! [SV3: $i,SV69: $i > $o,SV230: $i,SV155: $i] :
      ( ( ( r2 @ SV155 @ SV230 )
        = $false )
      | ( ( SV69 @ SV230 )
        = $true )
      | ( ( r5 @ SV3 @ SV155 )
        = $false )
      | ( ( SV69 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1074]) ).

thf(1168,plain,
    ! [SV5: $i,SV71: $i > $o,SV261: $i,SV191: $i] :
      ( ( ( ~ ( r2 @ SV191 @ SV261 ) )
        = $true )
      | ( ( SV71 @ SV261 )
        = $true )
      | ( ( r4 @ SV5 @ SV191 )
        = $false )
      | ( ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1077]) ).

thf(1169,plain,
    ! [SV5: $i,SV71: $i > $o,SV231: $i,SV156: $i] :
      ( ( ( r2 @ SV156 @ SV231 )
        = $false )
      | ( ( SV71 @ SV231 )
        = $true )
      | ( ( r4 @ SV5 @ SV156 )
        = $false )
      | ( ( SV71 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1078]) ).

thf(1170,plain,
    ! [SV9: $i,SV75: mu,SV262: $i,SV134: $i] :
      ( ( ( ~ ( r3 @ SV134 @ SV262 ) )
        = $true )
      | ( ( good_in_maths @ SV75 @ SV262 )
        = $true )
      | ( ( r3 @ SV134 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1081]) ).

thf(1171,plain,
    ! [SV9: $i,SV75: mu,SV232: $i,SV134: $i] :
      ( ( ( r3 @ SV134 @ SV232 )
        = $false )
      | ( ( good_in_maths @ SV75 @ SV232 )
        = $true )
      | ( ( mathematician @ SV75 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $false )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1082]) ).

thf(1172,plain,
    ! [SV10: $i,SV76: mu,SV263: $i,SV135: $i] :
      ( ( ( ~ ( r1 @ SV135 @ SV263 ) )
        = $true )
      | ( ( good_in_maths @ SV76 @ SV263 )
        = $true )
      | ( ( r1 @ SV135 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1083]) ).

thf(1173,plain,
    ! [SV10: $i,SV76: mu,SV233: $i,SV135: $i] :
      ( ( ( r1 @ SV135 @ SV233 )
        = $false )
      | ( ( good_in_maths @ SV76 @ SV233 )
        = $true )
      | ( ( mathematician @ SV76 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $false )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1084]) ).

thf(1174,plain,
    ! [SV11: $i,SV77: $i > $o,SV264: $i,SV194: $i] :
      ( ( ( ~ ( r4 @ SV194 @ SV264 ) )
        = $true )
      | ( ( SV77 @ SV264 )
        = $true )
      | ( ( r3 @ SV11 @ SV194 )
        = $false )
      | ( ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1085]) ).

thf(1175,plain,
    ! [SV11: $i,SV77: $i > $o,SV234: $i,SV159: $i] :
      ( ( ( r4 @ SV159 @ SV234 )
        = $false )
      | ( ( SV77 @ SV234 )
        = $true )
      | ( ( r3 @ SV11 @ SV159 )
        = $false )
      | ( ( SV77 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1086]) ).

thf(1176,plain,
    ! [SV12: $i,SV78: mu,SV265: $i,SV136: $i] :
      ( ( ( ~ ( r5 @ SV136 @ SV265 ) )
        = $true )
      | ( ( good_in_maths @ SV78 @ SV265 )
        = $true )
      | ( ( r5 @ SV136 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1087]) ).

thf(1177,plain,
    ! [SV12: $i,SV78: mu,SV235: $i,SV136: $i] :
      ( ( ( r5 @ SV136 @ SV235 )
        = $false )
      | ( ( good_in_maths @ SV78 @ SV235 )
        = $true )
      | ( ( mathematician @ SV78 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $false )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1088]) ).

thf(1178,plain,
    ! [SV13: $i,SV79: $i > $o,SV266: $i,SV195: $i] :
      ( ( ( ~ ( r2 @ SV195 @ SV266 ) )
        = $true )
      | ( ( SV79 @ SV266 )
        = $true )
      | ( ( r2 @ SV13 @ SV195 )
        = $false )
      | ( ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1089]) ).

thf(1179,plain,
    ! [SV13: $i,SV79: $i > $o,SV236: $i,SV160: $i] :
      ( ( ( r2 @ SV160 @ SV236 )
        = $false )
      | ( ( SV79 @ SV236 )
        = $true )
      | ( ( r2 @ SV13 @ SV160 )
        = $false )
      | ( ( SV79 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1090]) ).

thf(1180,plain,
    ! [SV14: $i,SV80: mu,SV267: $i,SV137: $i] :
      ( ( ( ~ ( r4 @ SV137 @ SV267 ) )
        = $true )
      | ( ( good_in_maths @ SV80 @ SV267 )
        = $true )
      | ( ( r4 @ SV137 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1091]) ).

thf(1181,plain,
    ! [SV14: $i,SV80: mu,SV237: $i,SV137: $i] :
      ( ( ( r4 @ SV137 @ SV237 )
        = $false )
      | ( ( good_in_maths @ SV80 @ SV237 )
        = $true )
      | ( ( mathematician @ SV80 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $false )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1092]) ).

thf(1182,plain,
    ! [SV15: $i,SV81: $i > $o,SV268: $i,SV196: $i] :
      ( ( ( ~ ( r2 @ SV196 @ SV268 ) )
        = $true )
      | ( ( SV81 @ SV268 )
        = $true )
      | ( ( r3 @ SV15 @ SV196 )
        = $false )
      | ( ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1093]) ).

thf(1183,plain,
    ! [SV15: $i,SV81: $i > $o,SV238: $i,SV161: $i] :
      ( ( ( r2 @ SV161 @ SV238 )
        = $false )
      | ( ( SV81 @ SV238 )
        = $true )
      | ( ( r3 @ SV15 @ SV161 )
        = $false )
      | ( ( SV81 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1094]) ).

thf(1184,plain,
    ! [SV16: $i,SV82: $i > $o,SV269: $i,SV197: $i] :
      ( ( ( ~ ( r3 @ SV197 @ SV269 ) )
        = $true )
      | ( ( SV82 @ SV269 )
        = $true )
      | ( ( r1 @ SV16 @ SV197 )
        = $false )
      | ( ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1095]) ).

thf(1185,plain,
    ! [SV16: $i,SV82: $i > $o,SV239: $i,SV162: $i] :
      ( ( ( r3 @ SV162 @ SV239 )
        = $false )
      | ( ( SV82 @ SV239 )
        = $true )
      | ( ( r1 @ SV16 @ SV162 )
        = $false )
      | ( ( SV82 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1096]) ).

thf(1186,plain,
    ! [SV17: $i,SV83: $i > $o,SV270: $i,SV198: $i] :
      ( ( ( ~ ( r1 @ SV198 @ SV270 ) )
        = $true )
      | ( ( SV83 @ SV270 )
        = $true )
      | ( ( r5 @ SV17 @ SV198 )
        = $false )
      | ( ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1097]) ).

thf(1187,plain,
    ! [SV17: $i,SV83: $i > $o,SV240: $i,SV163: $i] :
      ( ( ( r1 @ SV163 @ SV240 )
        = $false )
      | ( ( SV83 @ SV240 )
        = $true )
      | ( ( r5 @ SV17 @ SV163 )
        = $false )
      | ( ( SV83 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1098]) ).

thf(1188,plain,
    ! [SV150: $i,SV18: $i,SV84: $i > $o,SV225: $i] :
      ( ( ( ! [SY455: $i] :
              ( ~ ( r2 @ SV225 @ SY455 )
              | ( SV84 @ SY455 ) ) )
        = $false )
      | ( ( r2 @ SV18 @ SV225 )
        = $false )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1099]) ).

thf(1189,plain,
    ! [SV20: $i,SV86: $i > $o,SV271: $i,SV199: $i] :
      ( ( ( ~ ( r1 @ SV199 @ SV271 ) )
        = $true )
      | ( ( SV86 @ SV271 )
        = $true )
      | ( ( r2 @ SV20 @ SV199 )
        = $false )
      | ( ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1100]) ).

thf(1190,plain,
    ! [SV20: $i,SV86: $i > $o,SV241: $i,SV164: $i] :
      ( ( ( r1 @ SV164 @ SV241 )
        = $false )
      | ( ( SV86 @ SV241 )
        = $true )
      | ( ( r2 @ SV20 @ SV164 )
        = $false )
      | ( ( SV86 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1101]) ).

thf(1191,plain,
    ! [SV23: $i,SV89: $i > $o,SV272: $i,SV201: $i] :
      ( ( ( ~ ( r1 @ SV201 @ SV272 ) )
        = $true )
      | ( ( SV89 @ SV272 )
        = $true )
      | ( ( r4 @ SV23 @ SV201 )
        = $false )
      | ( ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1104]) ).

thf(1192,plain,
    ! [SV23: $i,SV89: $i > $o,SV242: $i,SV166: $i] :
      ( ( ( r1 @ SV166 @ SV242 )
        = $false )
      | ( ( SV89 @ SV242 )
        = $true )
      | ( ( r4 @ SV23 @ SV166 )
        = $false )
      | ( ( SV89 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1105]) ).

thf(1193,plain,
    ! [SV151: $i,SV25: $i,SV91: $i > $o,SV226: $i] :
      ( ( ( ! [SY456: $i] :
              ( ~ ( r4 @ SV226 @ SY456 )
              | ( SV91 @ SY456 ) ) )
        = $false )
      | ( ( r4 @ SV25 @ SV226 )
        = $false )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1108]) ).

thf(1194,plain,
    ! [SV27: $i,SV93: $i > $o,SV273: $i,SV202: $i] :
      ( ( ( ~ ( r5 @ SV202 @ SV273 ) )
        = $true )
      | ( ( SV93 @ SV273 )
        = $true )
      | ( ( r3 @ SV27 @ SV202 )
        = $false )
      | ( ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1109]) ).

thf(1195,plain,
    ! [SV27: $i,SV93: $i > $o,SV243: $i,SV167: $i] :
      ( ( ( r5 @ SV167 @ SV243 )
        = $false )
      | ( ( SV93 @ SV243 )
        = $true )
      | ( ( r3 @ SV27 @ SV167 )
        = $false )
      | ( ( SV93 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1110]) ).

thf(1196,plain,
    ! [SV29: $i,SV95: $i > $o,SV274: $i,SV203: $i] :
      ( ( ( ~ ( r3 @ SV203 @ SV274 ) )
        = $true )
      | ( ( SV95 @ SV274 )
        = $true )
      | ( ( r3 @ SV29 @ SV203 )
        = $false )
      | ( ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1113]) ).

thf(1197,plain,
    ! [SV29: $i,SV95: $i > $o,SV244: $i,SV168: $i] :
      ( ( ( r3 @ SV168 @ SV244 )
        = $false )
      | ( ( SV95 @ SV244 )
        = $true )
      | ( ( r3 @ SV29 @ SV168 )
        = $false )
      | ( ( SV95 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1114]) ).

thf(1198,plain,
    ! [SV152: $i,SV35: $i,SV101: $i > $o,SV227: $i] :
      ( ( ( ! [SY457: $i] :
              ( ~ ( r3 @ SV227 @ SY457 )
              | ( SV101 @ SY457 ) ) )
        = $false )
      | ( ( r3 @ SV35 @ SV227 )
        = $false )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1119]) ).

thf(1199,plain,
    ! [SV37: $i,SV103: $i > $o,SV275: $i,SV206: $i] :
      ( ( ( ~ ( r2 @ SV206 @ SV275 ) )
        = $true )
      | ( ( SV103 @ SV275 )
        = $true )
      | ( ( r1 @ SV37 @ SV206 )
        = $false )
      | ( ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1122]) ).

thf(1200,plain,
    ! [SV37: $i,SV103: $i > $o,SV245: $i,SV171: $i] :
      ( ( ( r2 @ SV171 @ SV245 )
        = $false )
      | ( ( SV103 @ SV245 )
        = $true )
      | ( ( r1 @ SV37 @ SV171 )
        = $false )
      | ( ( SV103 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1123]) ).

thf(1201,plain,
    ! [SV38: $i,SV104: $i > $o,SV276: $i,SV207: $i] :
      ( ( ( ~ ( r1 @ SV207 @ SV276 ) )
        = $true )
      | ( ( SV104 @ SV276 )
        = $true )
      | ( ( r1 @ SV38 @ SV207 )
        = $false )
      | ( ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1124]) ).

thf(1202,plain,
    ! [SV38: $i,SV104: $i > $o,SV246: $i,SV172: $i] :
      ( ( ( r1 @ SV172 @ SV246 )
        = $false )
      | ( ( SV104 @ SV246 )
        = $true )
      | ( ( r1 @ SV38 @ SV172 )
        = $false )
      | ( ( SV104 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1125]) ).

thf(1203,plain,
    ! [SV39: $i,SV105: $i > $o,SV277: $i,SV208: $i] :
      ( ( ( ~ ( r5 @ SV208 @ SV277 ) )
        = $true )
      | ( ( SV105 @ SV277 )
        = $true )
      | ( ( r5 @ SV39 @ SV208 )
        = $false )
      | ( ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1126]) ).

thf(1204,plain,
    ! [SV39: $i,SV105: $i > $o,SV247: $i,SV173: $i] :
      ( ( ( r5 @ SV173 @ SV247 )
        = $false )
      | ( ( SV105 @ SV247 )
        = $true )
      | ( ( r5 @ SV39 @ SV173 )
        = $false )
      | ( ( SV105 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1127]) ).

thf(1205,plain,
    ! [SV40: $i,SV106: $i > $o,SV278: $i,SV209: $i] :
      ( ( ( ~ ( r1 @ SV209 @ SV278 ) )
        = $true )
      | ( ( SV106 @ SV278 )
        = $true )
      | ( ( r3 @ SV40 @ SV209 )
        = $false )
      | ( ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1128]) ).

thf(1206,plain,
    ! [SV40: $i,SV106: $i > $o,SV248: $i,SV174: $i] :
      ( ( ( r1 @ SV174 @ SV248 )
        = $false )
      | ( ( SV106 @ SV248 )
        = $true )
      | ( ( r3 @ SV40 @ SV174 )
        = $false )
      | ( ( SV106 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1129]) ).

thf(1207,plain,
    ! [SV41: $i,SV107: $i > $o,SV279: $i,SV210: $i] :
      ( ( ( ~ ( r5 @ SV210 @ SV279 ) )
        = $true )
      | ( ( SV107 @ SV279 )
        = $true )
      | ( ( r4 @ SV41 @ SV210 )
        = $false )
      | ( ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1130]) ).

thf(1208,plain,
    ! [SV41: $i,SV107: $i > $o,SV249: $i,SV175: $i] :
      ( ( ( r5 @ SV175 @ SV249 )
        = $false )
      | ( ( SV107 @ SV249 )
        = $true )
      | ( ( r4 @ SV41 @ SV175 )
        = $false )
      | ( ( SV107 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1131]) ).

thf(1209,plain,
    ! [SV42: $i,SV108: $i > $o,SV280: $i,SV211: $i] :
      ( ( ( ~ ( r5 @ SV211 @ SV280 ) )
        = $true )
      | ( ( SV108 @ SV280 )
        = $true )
      | ( ( r1 @ SV42 @ SV211 )
        = $false )
      | ( ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1132]) ).

thf(1210,plain,
    ! [SV42: $i,SV108: $i > $o,SV250: $i,SV176: $i] :
      ( ( ( r5 @ SV176 @ SV250 )
        = $false )
      | ( ( SV108 @ SV250 )
        = $true )
      | ( ( r1 @ SV42 @ SV176 )
        = $false )
      | ( ( SV108 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1133]) ).

thf(1211,plain,
    ! [SV45: $i,SV111: $i > $o,SV281: $i,SV212: $i] :
      ( ( ( ~ ( r3 @ SV212 @ SV281 ) )
        = $true )
      | ( ( SV111 @ SV281 )
        = $true )
      | ( ( r4 @ SV45 @ SV212 )
        = $false )
      | ( ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1136]) ).

thf(1212,plain,
    ! [SV45: $i,SV111: $i > $o,SV251: $i,SV177: $i] :
      ( ( ( r3 @ SV177 @ SV251 )
        = $false )
      | ( ( SV111 @ SV251 )
        = $true )
      | ( ( r4 @ SV45 @ SV177 )
        = $false )
      | ( ( SV111 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1137]) ).

thf(1213,plain,
    ! [SV47: $i,SV113: mu,SV282: $i,SV143: $i] :
      ( ( ( ~ ( r2 @ SV143 @ SV282 ) )
        = $true )
      | ( ( good_in_maths @ SV113 @ SV282 )
        = $true )
      | ( ( r2 @ SV143 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[1140]) ).

thf(1214,plain,
    ! [SV47: $i,SV113: mu,SV252: $i,SV143: $i] :
      ( ( ( r2 @ SV143 @ SV252 )
        = $false )
      | ( ( good_in_maths @ SV113 @ SV252 )
        = $true )
      | ( ( mathematician @ SV113 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $false )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1141]) ).

thf(1215,plain,
    ! [SV48: $i,SV114: $i > $o,SV283: $i,SV213: $i] :
      ( ( ( ~ ( r3 @ SV213 @ SV283 ) )
        = $true )
      | ( ( SV114 @ SV283 )
        = $true )
      | ( ( r5 @ SV48 @ SV213 )
        = $false )
      | ( ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1142]) ).

thf(1216,plain,
    ! [SV48: $i,SV114: $i > $o,SV253: $i,SV178: $i] :
      ( ( ( r3 @ SV178 @ SV253 )
        = $false )
      | ( ( SV114 @ SV253 )
        = $true )
      | ( ( r5 @ SV48 @ SV178 )
        = $false )
      | ( ( SV114 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1143]) ).

thf(1217,plain,
    ! [SV49: $i,SV115: $i > $o,SV284: $i,SV214: $i] :
      ( ( ( ~ ( r5 @ SV214 @ SV284 ) )
        = $true )
      | ( ( SV115 @ SV284 )
        = $true )
      | ( ( r2 @ SV49 @ SV214 )
        = $false )
      | ( ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1144]) ).

thf(1218,plain,
    ! [SV49: $i,SV115: $i > $o,SV254: $i,SV179: $i] :
      ( ( ( r5 @ SV179 @ SV254 )
        = $false )
      | ( ( SV115 @ SV254 )
        = $true )
      | ( ( r2 @ SV49 @ SV179 )
        = $false )
      | ( ( SV115 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1145]) ).

thf(1219,plain,
    ! [SV52: $i,SV117: $i > $o,SV285: $i,SV215: $i] :
      ( ( ( ~ ( r3 @ SV215 @ SV285 ) )
        = $true )
      | ( ( SV117 @ SV285 )
        = $true )
      | ( ( r2 @ SV52 @ SV215 )
        = $false )
      | ( ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1148]) ).

thf(1220,plain,
    ! [SV52: $i,SV117: $i > $o,SV255: $i,SV180: $i] :
      ( ( ( r3 @ SV180 @ SV255 )
        = $false )
      | ( ( SV117 @ SV255 )
        = $true )
      | ( ( r2 @ SV52 @ SV180 )
        = $false )
      | ( ( SV117 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1149]) ).

thf(1221,plain,
    ! [SV53: $i,SV118: $i > $o,SV286: $i,SV216: $i] :
      ( ( ( ~ ( r4 @ SV216 @ SV286 ) )
        = $true )
      | ( ( SV118 @ SV286 )
        = $true )
      | ( ( r5 @ SV53 @ SV216 )
        = $false )
      | ( ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1150]) ).

thf(1222,plain,
    ! [SV53: $i,SV118: $i > $o,SV256: $i,SV181: $i] :
      ( ( ( r4 @ SV181 @ SV256 )
        = $false )
      | ( ( SV118 @ SV256 )
        = $true )
      | ( ( r5 @ SV53 @ SV181 )
        = $false )
      | ( ( SV118 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1151]) ).

thf(1223,plain,
    ! [SV153: $i,SV54: $i,SV119: $i > $o,SV228: $i] :
      ( ( ( ! [SY458: $i] :
              ( ~ ( r5 @ SV228 @ SY458 )
              | ( SV119 @ SY458 ) ) )
        = $false )
      | ( ( r5 @ SV54 @ SV228 )
        = $false )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1152]) ).

thf(1224,plain,
    ! [SV58: $i,SV123: $i > $o,SV287: $i,SV219: $i] :
      ( ( ( ~ ( r4 @ SV219 @ SV287 ) )
        = $true )
      | ( ( SV123 @ SV287 )
        = $true )
      | ( ( r2 @ SV58 @ SV219 )
        = $false )
      | ( ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1155]) ).

thf(1225,plain,
    ! [SV58: $i,SV123: $i > $o,SV257: $i,SV184: $i] :
      ( ( ( r4 @ SV184 @ SV257 )
        = $false )
      | ( ( SV123 @ SV257 )
        = $true )
      | ( ( r2 @ SV58 @ SV184 )
        = $false )
      | ( ( SV123 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1156]) ).

thf(1226,plain,
    ! [SV154: $i,SV59: $i,SV124: $i > $o,SV229: $i] :
      ( ( ( ! [SY459: $i] :
              ( ~ ( r1 @ SV229 @ SY459 )
              | ( SV124 @ SY459 ) ) )
        = $false )
      | ( ( r1 @ SV59 @ SV229 )
        = $false )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1157]) ).

thf(1227,plain,
    ! [SV61: $i,SV126: $i > $o,SV288: $i,SV220: $i] :
      ( ( ( ~ ( r4 @ SV220 @ SV288 ) )
        = $true )
      | ( ( SV126 @ SV288 )
        = $true )
      | ( ( r4 @ SV61 @ SV220 )
        = $false )
      | ( ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1160]) ).

thf(1228,plain,
    ! [SV61: $i,SV126: $i > $o,SV258: $i,SV185: $i] :
      ( ( ( r4 @ SV185 @ SV258 )
        = $false )
      | ( ( SV126 @ SV258 )
        = $true )
      | ( ( r4 @ SV61 @ SV185 )
        = $false )
      | ( ( SV126 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1161]) ).

thf(1229,plain,
    ! [SV62: $i,SV127: $i > $o,SV289: $i,SV221: $i] :
      ( ( ( ~ ( r4 @ SV221 @ SV289 ) )
        = $true )
      | ( ( SV127 @ SV289 )
        = $true )
      | ( ( r1 @ SV62 @ SV221 )
        = $false )
      | ( ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[1162]) ).

thf(1230,plain,
    ! [SV62: $i,SV127: $i > $o,SV259: $i,SV186: $i] :
      ( ( ( r4 @ SV186 @ SV259 )
        = $false )
      | ( ( SV127 @ SV259 )
        = $true )
      | ( ( r1 @ SV62 @ SV186 )
        = $false )
      | ( ( SV127 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1163]) ).

thf(1231,plain,
    ! [SV3: $i,SV69: $i > $o,SV260: $i,SV190: $i] :
      ( ( ( r2 @ SV190 @ SV260 )
        = $false )
      | ( ( SV69 @ SV260 )
        = $true )
      | ( ( r5 @ SV3 @ SV190 )
        = $false )
      | ( ( r2 @ SV3 @ ( sK2_SY227 @ SV69 @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1166]) ).

thf(1232,plain,
    ! [SV5: $i,SV71: $i > $o,SV261: $i,SV191: $i] :
      ( ( ( r2 @ SV191 @ SV261 )
        = $false )
      | ( ( SV71 @ SV261 )
        = $true )
      | ( ( r4 @ SV5 @ SV191 )
        = $false )
      | ( ( r2 @ SV5 @ ( sK4_SY232 @ SV71 @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1168]) ).

thf(1233,plain,
    ! [SV9: $i,SV75: mu,SV262: $i,SV134: $i] :
      ( ( ( r3 @ SV134 @ SV262 )
        = $false )
      | ( ( good_in_maths @ SV75 @ SV262 )
        = $true )
      | ( ( r3 @ SV134 @ ( sK45_SY385 @ SV9 @ SV75 @ SV134 ) )
        = $true )
      | ( ( r5 @ SV9 @ SV134 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1170]) ).

thf(1234,plain,
    ! [SV10: $i,SV76: mu,SV263: $i,SV135: $i] :
      ( ( ( r1 @ SV135 @ SV263 )
        = $false )
      | ( ( good_in_maths @ SV76 @ SV263 )
        = $true )
      | ( ( r1 @ SV135 @ ( sK46_SY387 @ SV10 @ SV76 @ SV135 ) )
        = $true )
      | ( ( r5 @ SV10 @ SV135 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1172]) ).

thf(1235,plain,
    ! [SV11: $i,SV77: $i > $o,SV264: $i,SV194: $i] :
      ( ( ( r4 @ SV194 @ SV264 )
        = $false )
      | ( ( SV77 @ SV264 )
        = $true )
      | ( ( r3 @ SV11 @ SV194 )
        = $false )
      | ( ( r4 @ SV11 @ ( sK8_SY247 @ SV77 @ SV11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1174]) ).

thf(1236,plain,
    ! [SV12: $i,SV78: mu,SV265: $i,SV136: $i] :
      ( ( ( r5 @ SV136 @ SV265 )
        = $false )
      | ( ( good_in_maths @ SV78 @ SV265 )
        = $true )
      | ( ( r5 @ SV136 @ ( sK47_SY389 @ SV12 @ SV78 @ SV136 ) )
        = $true )
      | ( ( r5 @ SV12 @ SV136 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1176]) ).

thf(1237,plain,
    ! [SV13: $i,SV79: $i > $o,SV266: $i,SV195: $i] :
      ( ( ( r2 @ SV195 @ SV266 )
        = $false )
      | ( ( SV79 @ SV266 )
        = $true )
      | ( ( r2 @ SV13 @ SV195 )
        = $false )
      | ( ( r2 @ SV13 @ ( sK9_SY253 @ SV79 @ SV13 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1178]) ).

thf(1238,plain,
    ! [SV14: $i,SV80: mu,SV267: $i,SV137: $i] :
      ( ( ( r4 @ SV137 @ SV267 )
        = $false )
      | ( ( good_in_maths @ SV80 @ SV267 )
        = $true )
      | ( ( r4 @ SV137 @ ( sK48_SY391 @ SV14 @ SV80 @ SV137 ) )
        = $true )
      | ( ( r5 @ SV14 @ SV137 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1180]) ).

thf(1239,plain,
    ! [SV15: $i,SV81: $i > $o,SV268: $i,SV196: $i] :
      ( ( ( r2 @ SV196 @ SV268 )
        = $false )
      | ( ( SV81 @ SV268 )
        = $true )
      | ( ( r3 @ SV15 @ SV196 )
        = $false )
      | ( ( r2 @ SV15 @ ( sK10_SY259 @ SV81 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1182]) ).

thf(1240,plain,
    ! [SV16: $i,SV82: $i > $o,SV269: $i,SV197: $i] :
      ( ( ( r3 @ SV197 @ SV269 )
        = $false )
      | ( ( SV82 @ SV269 )
        = $true )
      | ( ( r1 @ SV16 @ SV197 )
        = $false )
      | ( ( r3 @ SV16 @ ( sK11_SY262 @ SV82 @ SV16 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1184]) ).

thf(1241,plain,
    ! [SV17: $i,SV83: $i > $o,SV270: $i,SV198: $i] :
      ( ( ( r1 @ SV198 @ SV270 )
        = $false )
      | ( ( SV83 @ SV270 )
        = $true )
      | ( ( r5 @ SV17 @ SV198 )
        = $false )
      | ( ( r1 @ SV17 @ ( sK12_SY265 @ SV83 @ SV17 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1186]) ).

thf(1242,plain,
    ! [SV84: $i > $o,SV18: $i,SV150: $i,SV225: $i] :
      ( ( ( ~ ( r2 @ SV225 @ ( sK69_SY455 @ SV150 @ SV18 @ SV84 @ SV225 ) )
          | ( SV84 @ ( sK69_SY455 @ SV150 @ SV18 @ SV84 @ SV225 ) ) )
        = $false )
      | ( ( r2 @ SV18 @ SV225 )
        = $false )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1188]) ).

thf(1243,plain,
    ! [SV20: $i,SV86: $i > $o,SV271: $i,SV199: $i] :
      ( ( ( r1 @ SV199 @ SV271 )
        = $false )
      | ( ( SV86 @ SV271 )
        = $true )
      | ( ( r2 @ SV20 @ SV199 )
        = $false )
      | ( ( r1 @ SV20 @ ( sK13_SY271 @ SV86 @ SV20 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1189]) ).

thf(1244,plain,
    ! [SV23: $i,SV89: $i > $o,SV272: $i,SV201: $i] :
      ( ( ( r1 @ SV201 @ SV272 )
        = $false )
      | ( ( SV89 @ SV272 )
        = $true )
      | ( ( r4 @ SV23 @ SV201 )
        = $false )
      | ( ( r1 @ SV23 @ ( sK15_SY278 @ SV89 @ SV23 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1191]) ).

thf(1245,plain,
    ! [SV91: $i > $o,SV25: $i,SV151: $i,SV226: $i] :
      ( ( ( ~ ( r4 @ SV226 @ ( sK70_SY456 @ SV151 @ SV25 @ SV91 @ SV226 ) )
          | ( SV91 @ ( sK70_SY456 @ SV151 @ SV25 @ SV91 @ SV226 ) ) )
        = $false )
      | ( ( r4 @ SV25 @ SV226 )
        = $false )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1193]) ).

thf(1246,plain,
    ! [SV27: $i,SV93: $i > $o,SV273: $i,SV202: $i] :
      ( ( ( r5 @ SV202 @ SV273 )
        = $false )
      | ( ( SV93 @ SV273 )
        = $true )
      | ( ( r3 @ SV27 @ SV202 )
        = $false )
      | ( ( r5 @ SV27 @ ( sK17_SY287 @ SV93 @ SV27 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1194]) ).

thf(1247,plain,
    ! [SV29: $i,SV95: $i > $o,SV274: $i,SV203: $i] :
      ( ( ( r3 @ SV203 @ SV274 )
        = $false )
      | ( ( SV95 @ SV274 )
        = $true )
      | ( ( r3 @ SV29 @ SV203 )
        = $false )
      | ( ( r3 @ SV29 @ ( sK18_SY292 @ SV95 @ SV29 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1196]) ).

thf(1248,plain,
    ! [SV101: $i > $o,SV35: $i,SV152: $i,SV227: $i] :
      ( ( ( ~ ( r3 @ SV227 @ ( sK71_SY457 @ SV152 @ SV35 @ SV101 @ SV227 ) )
          | ( SV101 @ ( sK71_SY457 @ SV152 @ SV35 @ SV101 @ SV227 ) ) )
        = $false )
      | ( ( r3 @ SV35 @ SV227 )
        = $false )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1198]) ).

thf(1249,plain,
    ! [SV37: $i,SV103: $i > $o,SV275: $i,SV206: $i] :
      ( ( ( r2 @ SV206 @ SV275 )
        = $false )
      | ( ( SV103 @ SV275 )
        = $true )
      | ( ( r1 @ SV37 @ SV206 )
        = $false )
      | ( ( r2 @ SV37 @ ( sK21_SY308 @ SV103 @ SV37 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1199]) ).

thf(1250,plain,
    ! [SV38: $i,SV104: $i > $o,SV276: $i,SV207: $i] :
      ( ( ( r1 @ SV207 @ SV276 )
        = $false )
      | ( ( SV104 @ SV276 )
        = $true )
      | ( ( r1 @ SV38 @ SV207 )
        = $false )
      | ( ( r1 @ SV38 @ ( sK22_SY311 @ SV104 @ SV38 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1201]) ).

thf(1251,plain,
    ! [SV39: $i,SV105: $i > $o,SV277: $i,SV208: $i] :
      ( ( ( r5 @ SV208 @ SV277 )
        = $false )
      | ( ( SV105 @ SV277 )
        = $true )
      | ( ( r5 @ SV39 @ SV208 )
        = $false )
      | ( ( r5 @ SV39 @ ( sK23_SY314 @ SV105 @ SV39 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1203]) ).

thf(1252,plain,
    ! [SV40: $i,SV106: $i > $o,SV278: $i,SV209: $i] :
      ( ( ( r1 @ SV209 @ SV278 )
        = $false )
      | ( ( SV106 @ SV278 )
        = $true )
      | ( ( r3 @ SV40 @ SV209 )
        = $false )
      | ( ( r1 @ SV40 @ ( sK24_SY317 @ SV106 @ SV40 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1205]) ).

thf(1253,plain,
    ! [SV41: $i,SV107: $i > $o,SV279: $i,SV210: $i] :
      ( ( ( r5 @ SV210 @ SV279 )
        = $false )
      | ( ( SV107 @ SV279 )
        = $true )
      | ( ( r4 @ SV41 @ SV210 )
        = $false )
      | ( ( r5 @ SV41 @ ( sK25_SY320 @ SV107 @ SV41 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1207]) ).

thf(1254,plain,
    ! [SV42: $i,SV108: $i > $o,SV280: $i,SV211: $i] :
      ( ( ( r5 @ SV211 @ SV280 )
        = $false )
      | ( ( SV108 @ SV280 )
        = $true )
      | ( ( r1 @ SV42 @ SV211 )
        = $false )
      | ( ( r5 @ SV42 @ ( sK26_SY323 @ SV108 @ SV42 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1209]) ).

thf(1255,plain,
    ! [SV45: $i,SV111: $i > $o,SV281: $i,SV212: $i] :
      ( ( ( r3 @ SV212 @ SV281 )
        = $false )
      | ( ( SV111 @ SV281 )
        = $true )
      | ( ( r4 @ SV45 @ SV212 )
        = $false )
      | ( ( r3 @ SV45 @ ( sK28_SY330 @ SV111 @ SV45 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1211]) ).

thf(1256,plain,
    ! [SV47: $i,SV113: mu,SV282: $i,SV143: $i] :
      ( ( ( r2 @ SV143 @ SV282 )
        = $false )
      | ( ( good_in_maths @ SV113 @ SV282 )
        = $true )
      | ( ( r2 @ SV143 @ ( sK52_SY398 @ SV47 @ SV113 @ SV143 ) )
        = $true )
      | ( ( r5 @ SV47 @ SV143 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[1213]) ).

thf(1257,plain,
    ! [SV48: $i,SV114: $i > $o,SV283: $i,SV213: $i] :
      ( ( ( r3 @ SV213 @ SV283 )
        = $false )
      | ( ( SV114 @ SV283 )
        = $true )
      | ( ( r5 @ SV48 @ SV213 )
        = $false )
      | ( ( r3 @ SV48 @ ( sK30_SY338 @ SV114 @ SV48 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1215]) ).

thf(1258,plain,
    ! [SV49: $i,SV115: $i > $o,SV284: $i,SV214: $i] :
      ( ( ( r5 @ SV214 @ SV284 )
        = $false )
      | ( ( SV115 @ SV284 )
        = $true )
      | ( ( r2 @ SV49 @ SV214 )
        = $false )
      | ( ( r5 @ SV49 @ ( sK31_SY341 @ SV115 @ SV49 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1217]) ).

thf(1259,plain,
    ! [SV52: $i,SV117: $i > $o,SV285: $i,SV215: $i] :
      ( ( ( r3 @ SV215 @ SV285 )
        = $false )
      | ( ( SV117 @ SV285 )
        = $true )
      | ( ( r2 @ SV52 @ SV215 )
        = $false )
      | ( ( r3 @ SV52 @ ( sK32_SY346 @ SV117 @ SV52 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1219]) ).

thf(1260,plain,
    ! [SV53: $i,SV118: $i > $o,SV286: $i,SV216: $i] :
      ( ( ( r4 @ SV216 @ SV286 )
        = $false )
      | ( ( SV118 @ SV286 )
        = $true )
      | ( ( r5 @ SV53 @ SV216 )
        = $false )
      | ( ( r4 @ SV53 @ ( sK33_SY349 @ SV118 @ SV53 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1221]) ).

thf(1261,plain,
    ! [SV119: $i > $o,SV54: $i,SV153: $i,SV228: $i] :
      ( ( ( ~ ( r5 @ SV228 @ ( sK72_SY458 @ SV153 @ SV54 @ SV119 @ SV228 ) )
          | ( SV119 @ ( sK72_SY458 @ SV153 @ SV54 @ SV119 @ SV228 ) ) )
        = $false )
      | ( ( r5 @ SV54 @ SV228 )
        = $false )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1223]) ).

thf(1262,plain,
    ! [SV58: $i,SV123: $i > $o,SV287: $i,SV219: $i] :
      ( ( ( r4 @ SV219 @ SV287 )
        = $false )
      | ( ( SV123 @ SV287 )
        = $true )
      | ( ( r2 @ SV58 @ SV219 )
        = $false )
      | ( ( r4 @ SV58 @ ( sK36_SY361 @ SV123 @ SV58 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1224]) ).

thf(1263,plain,
    ! [SV124: $i > $o,SV59: $i,SV154: $i,SV229: $i] :
      ( ( ( ~ ( r1 @ SV229 @ ( sK73_SY459 @ SV154 @ SV59 @ SV124 @ SV229 ) )
          | ( SV124 @ ( sK73_SY459 @ SV154 @ SV59 @ SV124 @ SV229 ) ) )
        = $false )
      | ( ( r1 @ SV59 @ SV229 )
        = $false )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[1226]) ).

thf(1264,plain,
    ! [SV61: $i,SV126: $i > $o,SV288: $i,SV220: $i] :
      ( ( ( r4 @ SV220 @ SV288 )
        = $false )
      | ( ( SV126 @ SV288 )
        = $true )
      | ( ( r4 @ SV61 @ SV220 )
        = $false )
      | ( ( r4 @ SV61 @ ( sK37_SY369 @ SV126 @ SV61 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1227]) ).

thf(1265,plain,
    ! [SV62: $i,SV127: $i > $o,SV289: $i,SV221: $i] :
      ( ( ( r4 @ SV221 @ SV289 )
        = $false )
      | ( ( SV127 @ SV289 )
        = $true )
      | ( ( r1 @ SV62 @ SV221 )
        = $false )
      | ( ( r4 @ SV62 @ ( sK38_SY372 @ SV127 @ SV62 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[1229]) ).

thf(1266,plain,
    ! [SV84: $i > $o,SV18: $i,SV150: $i,SV225: $i] :
      ( ( ( ~ ( r2 @ SV225 @ ( sK69_SY455 @ SV150 @ SV18 @ SV84 @ SV225 ) ) )
        = $false )
      | ( ( r2 @ SV18 @ SV225 )
        = $false )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1242]) ).

thf(1267,plain,
    ! [SV225: $i,SV18: $i,SV150: $i,SV84: $i > $o] :
      ( ( ( SV84 @ ( sK69_SY455 @ SV150 @ SV18 @ SV84 @ SV225 ) )
        = $false )
      | ( ( r2 @ SV18 @ SV225 )
        = $false )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1242]) ).

thf(1268,plain,
    ! [SV91: $i > $o,SV25: $i,SV151: $i,SV226: $i] :
      ( ( ( ~ ( r4 @ SV226 @ ( sK70_SY456 @ SV151 @ SV25 @ SV91 @ SV226 ) ) )
        = $false )
      | ( ( r4 @ SV25 @ SV226 )
        = $false )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1245]) ).

thf(1269,plain,
    ! [SV226: $i,SV25: $i,SV151: $i,SV91: $i > $o] :
      ( ( ( SV91 @ ( sK70_SY456 @ SV151 @ SV25 @ SV91 @ SV226 ) )
        = $false )
      | ( ( r4 @ SV25 @ SV226 )
        = $false )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1245]) ).

thf(1270,plain,
    ! [SV101: $i > $o,SV35: $i,SV152: $i,SV227: $i] :
      ( ( ( ~ ( r3 @ SV227 @ ( sK71_SY457 @ SV152 @ SV35 @ SV101 @ SV227 ) ) )
        = $false )
      | ( ( r3 @ SV35 @ SV227 )
        = $false )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1248]) ).

thf(1271,plain,
    ! [SV227: $i,SV35: $i,SV152: $i,SV101: $i > $o] :
      ( ( ( SV101 @ ( sK71_SY457 @ SV152 @ SV35 @ SV101 @ SV227 ) )
        = $false )
      | ( ( r3 @ SV35 @ SV227 )
        = $false )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1248]) ).

thf(1272,plain,
    ! [SV119: $i > $o,SV54: $i,SV153: $i,SV228: $i] :
      ( ( ( ~ ( r5 @ SV228 @ ( sK72_SY458 @ SV153 @ SV54 @ SV119 @ SV228 ) ) )
        = $false )
      | ( ( r5 @ SV54 @ SV228 )
        = $false )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1261]) ).

thf(1273,plain,
    ! [SV228: $i,SV54: $i,SV153: $i,SV119: $i > $o] :
      ( ( ( SV119 @ ( sK72_SY458 @ SV153 @ SV54 @ SV119 @ SV228 ) )
        = $false )
      | ( ( r5 @ SV54 @ SV228 )
        = $false )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1261]) ).

thf(1274,plain,
    ! [SV124: $i > $o,SV59: $i,SV154: $i,SV229: $i] :
      ( ( ( ~ ( r1 @ SV229 @ ( sK73_SY459 @ SV154 @ SV59 @ SV124 @ SV229 ) ) )
        = $false )
      | ( ( r1 @ SV59 @ SV229 )
        = $false )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1263]) ).

thf(1275,plain,
    ! [SV229: $i,SV59: $i,SV154: $i,SV124: $i > $o] :
      ( ( ( SV124 @ ( sK73_SY459 @ SV154 @ SV59 @ SV124 @ SV229 ) )
        = $false )
      | ( ( r1 @ SV59 @ SV229 )
        = $false )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[1263]) ).

thf(1276,plain,
    ! [SV84: $i > $o,SV18: $i,SV150: $i,SV225: $i] :
      ( ( ( r2 @ SV225 @ ( sK69_SY455 @ SV150 @ SV18 @ SV84 @ SV225 ) )
        = $true )
      | ( ( r2 @ SV18 @ SV225 )
        = $false )
      | ( ( SV84 @ SV150 )
        = $true )
      | ( ( r2 @ SV18 @ SV150 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1266]) ).

thf(1277,plain,
    ! [SV91: $i > $o,SV25: $i,SV151: $i,SV226: $i] :
      ( ( ( r4 @ SV226 @ ( sK70_SY456 @ SV151 @ SV25 @ SV91 @ SV226 ) )
        = $true )
      | ( ( r4 @ SV25 @ SV226 )
        = $false )
      | ( ( SV91 @ SV151 )
        = $true )
      | ( ( r4 @ SV25 @ SV151 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1268]) ).

thf(1278,plain,
    ! [SV101: $i > $o,SV35: $i,SV152: $i,SV227: $i] :
      ( ( ( r3 @ SV227 @ ( sK71_SY457 @ SV152 @ SV35 @ SV101 @ SV227 ) )
        = $true )
      | ( ( r3 @ SV35 @ SV227 )
        = $false )
      | ( ( SV101 @ SV152 )
        = $true )
      | ( ( r3 @ SV35 @ SV152 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1270]) ).

thf(1279,plain,
    ! [SV119: $i > $o,SV54: $i,SV153: $i,SV228: $i] :
      ( ( ( r5 @ SV228 @ ( sK72_SY458 @ SV153 @ SV54 @ SV119 @ SV228 ) )
        = $true )
      | ( ( r5 @ SV54 @ SV228 )
        = $false )
      | ( ( SV119 @ SV153 )
        = $true )
      | ( ( r5 @ SV54 @ SV153 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1272]) ).

thf(1280,plain,
    ! [SV124: $i > $o,SV59: $i,SV154: $i,SV229: $i] :
      ( ( ( r1 @ SV229 @ ( sK73_SY459 @ SV154 @ SV59 @ SV124 @ SV229 ) )
        = $true )
      | ( ( r1 @ SV59 @ SV229 )
        = $false )
      | ( ( SV124 @ SV154 )
        = $true )
      | ( ( r1 @ SV59 @ SV154 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[1274]) ).

thf(1281,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[255,1280,1279,1278,1277,1276,1275,1273,1271,1269,1267,1265,1264,1262,1260,1259,1258,1257,1256,1255,1254,1253,1252,1251,1250,1249,1247,1246,1244,1243,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1228,1225,1222,1220,1218,1216,1214,1212,1210,1208,1206,1204,1202,1200,1197,1195,1192,1190,1187,1185,1183,1181,1179,1177,1175,1173,1171,1169,1167,1165,1164,1159,1158,1154,1153,1147,1146,1139,1138,1135,1134,1121,1120,1118,1117,1116,1115,1112,1111,1107,1106,1103,1102,1080,1079,1076,1075,1072,1071,1070,1069,1066,1065,1064,1052,1051,1037,1036,1031,1030,1010,1009,999,998,991,969,968,965,964,961,960,950,948,946,935,933,896,894,879,853,851,803,701,674,445,436,421]) ).

thf(1282,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[1281]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem  : AGT028^1 : TPTP v8.1.0. Released v5.2.0.
% 0.14/0.15  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.37  % Computer : n018.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Sat Jun  4 07:03:32 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.14/0.42  
% 0.14/0.42   No.of.Axioms: 66
% 0.14/0.42  
% 0.14/0.42   Length.of.Defs: 5324
% 0.14/0.42  
% 0.14/0.42   Contains.Choice.Funs: false
% 0.22/0.45  (rf:0,axioms:66,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:68,loop_count:0,foatp_calls:0,translation:fof_full)........................................................................
% 0.59/0.82  
% 0.59/0.82  ********************************
% 0.59/0.82  *   All subproblems solved!    *
% 0.59/0.82  ********************************
% 0.59/0.82  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1281,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.17/1.44  
% 1.17/1.44  %**** Beginning of derivation protocol ****
% 1.17/1.44  % SZS output start CNFRefutation
% See solution above
% 1.26/1.45  
% 1.26/1.45  %**** End of derivation protocol ****
% 1.26/1.45  %**** no. of clauses in derivation: 1282 ****
% 1.26/1.45  %**** clause counter: 1281 ****
% 1.26/1.45  
% 1.26/1.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1281,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------