%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT030^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:07:09 AM UTC 2026
% Result : Theorem 4.93s 1.07s
% Output : CNFRefutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 98
% Syntax : Number of formulae : 1312 ( 321 unt; 0 typ; 31 def)
% Number of atoms : 9557 (2818 equ; 0 cnn)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 17146 (2816 ~;3612 |; 8 &;10702 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 1012 (1012 >; 0 *; 0 +; 0 <<)
% Number of symbols : 121 ( 118 usr; 7 con; 0-4 aty)
% Number of variables : 4897 ( 113 ^;4778 !; 6 ?;4897 :)
% 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_SY3074,type,
sK10_SY3074: ( $i > $o ) > $i > $i ).
thf(tp_sK11_SY3076,type,
sK11_SY3076: ( $i > $o ) > $i > $i ).
thf(tp_sK12_SY3078,type,
sK12_SY3078: ( $i > $o ) > $i > $i ).
thf(tp_sK13_SY3080,type,
sK13_SY3080: ( $i > $o ) > $i > $i ).
thf(tp_sK14_SY3082,type,
sK14_SY3082: ( $i > $o ) > $i > $i ).
thf(tp_sK15_SY3084,type,
sK15_SY3084: ( $i > $o ) > $i > $i ).
thf(tp_sK16_SY3086,type,
sK16_SY3086: ( $i > $o ) > $i > $i ).
thf(tp_sK17_SY3088,type,
sK17_SY3088: ( $i > $o ) > $i > $i ).
thf(tp_sK18_SY3091,type,
sK18_SY3091: ( $i > $o ) > $i > $i ).
thf(tp_sK19_SY3094,type,
sK19_SY3094: ( $i > $o ) > $i > $i ).
thf(tp_sK1_SY25,type,
sK1_SY25: $i ).
thf(tp_sK20_SY3097,type,
sK20_SY3097: ( $i > $o ) > $i > $i ).
thf(tp_sK21_SY3100,type,
sK21_SY3100: ( $i > $o ) > $i > $i ).
thf(tp_sK22_SY3103,type,
sK22_SY3103: ( $i > $o ) > $i > $i ).
thf(tp_sK23_SY3106,type,
sK23_SY3106: ( $i > $o ) > $i > $i ).
thf(tp_sK24_SY3109,type,
sK24_SY3109: ( $i > $o ) > $i > $i ).
thf(tp_sK25_SY3112,type,
sK25_SY3112: ( $i > $o ) > $i > $i ).
thf(tp_sK26_SY3115,type,
sK26_SY3115: ( $i > $o ) > $i > $i ).
thf(tp_sK27_SY3118,type,
sK27_SY3118: ( $i > $o ) > $i > $i ).
thf(tp_sK28_SY3121,type,
sK28_SY3121: ( $i > $o ) > $i > $i ).
thf(tp_sK29_SY3124,type,
sK29_SY3124: ( $i > $o ) > $i > $i ).
thf(tp_sK2_SY3058,type,
sK2_SY3058: ( $i > $o ) > $i > $i ).
thf(tp_sK30_SY3127,type,
sK30_SY3127: ( $i > $o ) > $i > $i ).
thf(tp_sK31_SY3130,type,
sK31_SY3130: ( $i > $o ) > $i > $i ).
thf(tp_sK32_SY3133,type,
sK32_SY3133: ( $i > $o ) > $i > $i ).
thf(tp_sK33_SY3136,type,
sK33_SY3136: ( $i > $o ) > $i > $i ).
thf(tp_sK34_SY3139,type,
sK34_SY3139: ( $i > $o ) > $i > $i ).
thf(tp_sK35_SY3142,type,
sK35_SY3142: ( $i > $o ) > $i > $i ).
thf(tp_sK36_SY3145,type,
sK36_SY3145: ( $i > $o ) > $i > $i ).
thf(tp_sK37_SY3148,type,
sK37_SY3148: ( $i > $o ) > $i > $i ).
thf(tp_sK38_SY3151,type,
sK38_SY3151: ( $i > $o ) > $i > $i ).
thf(tp_sK39_SY3154,type,
sK39_SY3154: ( $i > $o ) > $i > $i ).
thf(tp_sK3_SY3060,type,
sK3_SY3060: ( $i > $o ) > $i > $i ).
thf(tp_sK40_SY3157,type,
sK40_SY3157: ( $i > $o ) > $i > $i ).
thf(tp_sK41_SY3160,type,
sK41_SY3160: ( $i > $o ) > $i > $i ).
thf(tp_sK42_SY3178,type,
sK42_SY3178: $i > mu > $i > $i ).
thf(tp_sK43_SY3180,type,
sK43_SY3180: $i > mu > $i > $i ).
thf(tp_sK44_SY3182,type,
sK44_SY3182: $i > mu > $i > $i ).
thf(tp_sK45_SY3184,type,
sK45_SY3184: $i > mu > $i > $i ).
thf(tp_sK46_SY3186,type,
sK46_SY3186: $i > mu > $i > $i ).
thf(tp_sK47_SY3059,type,
sK47_SY3059: ( $i > $o ) > $i > $i ).
thf(tp_sK48_SY3061,type,
sK48_SY3061: ( $i > $o ) > $i > $i ).
thf(tp_sK49_SY3063,type,
sK49_SY3063: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SY3062,type,
sK4_SY3062: ( $i > $o ) > $i > $i ).
thf(tp_sK50_SY3065,type,
sK50_SY3065: ( $i > $o ) > $i > $i ).
thf(tp_sK51_SY3067,type,
sK51_SY3067: ( $i > $o ) > $i > $i ).
thf(tp_sK52_SY3188,type,
sK52_SY3188: $i > mu > $i > $i ).
thf(tp_sK53_SY3189,type,
sK53_SY3189: $i > mu > $i > $i ).
thf(tp_sK54_SY3190,type,
sK54_SY3190: $i > mu > $i > $i ).
thf(tp_sK55_SY3191,type,
sK55_SY3191: $i > mu > $i > $i ).
thf(tp_sK56_SY3192,type,
sK56_SY3192: $i > mu > $i > $i ).
thf(tp_sK57_SY3193,type,
sK57_SY3193: $i > mu > $i > $i ).
thf(tp_sK58_SY3194,type,
sK58_SY3194: $i > mu > $i > $i ).
thf(tp_sK59_SY3195,type,
sK59_SY3195: $i > mu > $i > $i ).
thf(tp_sK5_SY3064,type,
sK5_SY3064: ( $i > $o ) > $i > $i ).
thf(tp_sK60_SY3196,type,
sK60_SY3196: $i > mu > $i > $i ).
thf(tp_sK61_SY3197,type,
sK61_SY3197: $i > mu > $i > $i ).
thf(tp_sK62_SY3198,type,
sK62_SY3198: $i > mu > $i > $i ).
thf(tp_sK63_SY3059,type,
sK63_SY3059: ( $i > $o ) > $i > $i ).
thf(tp_sK64_SY3061,type,
sK64_SY3061: ( $i > $o ) > $i > $i ).
thf(tp_sK65_SY3063,type,
sK65_SY3063: ( $i > $o ) > $i > $i ).
thf(tp_sK66_SY3065,type,
sK66_SY3065: ( $i > $o ) > $i > $i ).
thf(tp_sK67_SY3067,type,
sK67_SY3067: ( $i > $o ) > $i > $i ).
thf(tp_sK68_SY3249,type,
sK68_SY3249: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK69_SY3250,type,
sK69_SY3250: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK6_SY3066,type,
sK6_SY3066: ( $i > $o ) > $i > $i ).
thf(tp_sK70_SY3251,type,
sK70_SY3251: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK71_SY3252,type,
sK71_SY3252: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK72_SY3253,type,
sK72_SY3253: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK7_SY3068,type,
sK7_SY3068: ( $i > $o ) > $i > $i ).
thf(tp_sK8_SY3070,type,
sK8_SY3070: ( $i > $o ) > $i > $i ).
thf(tp_sK9_SY3072,type,
sK9_SY3072: ( $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] : ( mdia @ r1 @ ( good_in_maths @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(68,negated_conjecture,
( ( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mdia @ r1 @ ( good_in_maths @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[67]) ).
thf(69,plain,
( ( ! [SY25: $i] :
~ ! [SY26: mu] :
~ ~ ! [SY27: $i] :
( ~ ( r1 @ SY25 @ SY27 )
| ~ ( good_in_maths @ SY26 @ SY27 ) ) )
= $false ),
inference(unfold_def,[status(thm)],[68,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(70,plain,
( ( ! [SY73: $i,SY74: $i > $o] :
( ~ ~ ! [SY75: $i] :
( ~ ( r5 @ SY73 @ SY75 )
| ( SY74 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( r5 @ SY73 @ SY76 )
| ~ ! [SY69: $i] :
( ~ ( r5 @ SY76 @ SY69 )
| ( SY74 @ SY69 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,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(71,plain,
( ( ! [SY125: $i,SY126: $i > $o] :
( ~ ~ ! [SY127: $i] :
( ~ ( r4 @ SY125 @ SY127 )
| ( SY126 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( r4 @ SY125 @ SY128 )
| ~ ! [SY121: $i] :
( ~ ( r4 @ SY128 @ SY121 )
| ( SY126 @ SY121 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,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(72,plain,
( ( ! [SY177: $i,SY178: $i > $o] :
( ~ ~ ! [SY179: $i] :
( ~ ( r3 @ SY177 @ SY179 )
| ( SY178 @ SY179 ) )
| ! [SY180: $i] :
( ~ ( r3 @ SY177 @ SY180 )
| ~ ! [SY173: $i] :
( ~ ( r3 @ SY180 @ SY173 )
| ( SY178 @ SY173 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,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(73,plain,
( ( ! [SY229: $i,SY230: $i > $o] :
( ~ ~ ! [SY231: $i] :
( ~ ( r2 @ SY229 @ SY231 )
| ( SY230 @ SY231 ) )
| ! [SY232: $i] :
( ~ ( r2 @ SY229 @ SY232 )
| ~ ! [SY225: $i] :
( ~ ( r2 @ SY232 @ SY225 )
| ( SY230 @ SY225 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,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(74,plain,
( ( ! [SY281: $i,SY282: $i > $o] :
( ~ ~ ! [SY283: $i] :
( ~ ( r1 @ SY281 @ SY283 )
| ( SY282 @ SY283 ) )
| ! [SY284: $i] :
( ~ ( r1 @ SY281 @ SY284 )
| ~ ! [SY277: $i] :
( ~ ( r1 @ SY284 @ SY277 )
| ( SY282 @ SY277 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,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(75,plain,
( ( ! [SY329: $i,SY330: $i > $o] :
( ~ ! [SY331: $i] :
( ~ ( r5 @ SY329 @ SY331 )
| ( SY330 @ SY331 ) )
| ! [SY332: $i] :
( ~ ( r5 @ SY329 @ SY332 )
| ! [SY325: $i] :
( ~ ( r5 @ SY332 @ SY325 )
| ( SY330 @ SY325 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,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(76,plain,
( ( ! [SY377: $i,SY378: $i > $o] :
( ~ ! [SY379: $i] :
( ~ ( r5 @ SY377 @ SY379 )
| ( SY378 @ SY379 ) )
| ! [SY380: $i] :
( ~ ( r4 @ SY377 @ SY380 )
| ! [SY373: $i] :
( ~ ( r5 @ SY380 @ SY373 )
| ( SY378 @ SY373 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,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(77,plain,
( ( ! [SY425: $i,SY426: $i > $o] :
( ~ ! [SY427: $i] :
( ~ ( r5 @ SY425 @ SY427 )
| ( SY426 @ SY427 ) )
| ! [SY428: $i] :
( ~ ( r3 @ SY425 @ SY428 )
| ! [SY421: $i] :
( ~ ( r5 @ SY428 @ SY421 )
| ( SY426 @ SY421 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,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(78,plain,
( ( ! [SY473: $i,SY474: $i > $o] :
( ~ ! [SY475: $i] :
( ~ ( r5 @ SY473 @ SY475 )
| ( SY474 @ SY475 ) )
| ! [SY476: $i] :
( ~ ( r2 @ SY473 @ SY476 )
| ! [SY469: $i] :
( ~ ( r5 @ SY476 @ SY469 )
| ( SY474 @ SY469 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,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(79,plain,
( ( ! [SY521: $i,SY522: $i > $o] :
( ~ ! [SY523: $i] :
( ~ ( r5 @ SY521 @ SY523 )
| ( SY522 @ SY523 ) )
| ! [SY524: $i] :
( ~ ( r1 @ SY521 @ SY524 )
| ! [SY517: $i] :
( ~ ( r5 @ SY524 @ SY517 )
| ( SY522 @ SY517 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,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(80,plain,
( ( ! [SY569: $i,SY570: $i > $o] :
( ~ ! [SY571: $i] :
( ~ ( r4 @ SY569 @ SY571 )
| ( SY570 @ SY571 ) )
| ! [SY572: $i] :
( ~ ( r5 @ SY569 @ SY572 )
| ! [SY565: $i] :
( ~ ( r4 @ SY572 @ SY565 )
| ( SY570 @ SY565 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,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(81,plain,
( ( ! [SY617: $i,SY618: $i > $o] :
( ~ ! [SY619: $i] :
( ~ ( r4 @ SY617 @ SY619 )
| ( SY618 @ SY619 ) )
| ! [SY620: $i] :
( ~ ( r4 @ SY617 @ SY620 )
| ! [SY613: $i] :
( ~ ( r4 @ SY620 @ SY613 )
| ( SY618 @ SY613 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,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(82,plain,
( ( ! [SY665: $i,SY666: $i > $o] :
( ~ ! [SY667: $i] :
( ~ ( r4 @ SY665 @ SY667 )
| ( SY666 @ SY667 ) )
| ! [SY668: $i] :
( ~ ( r3 @ SY665 @ SY668 )
| ! [SY661: $i] :
( ~ ( r4 @ SY668 @ SY661 )
| ( SY666 @ SY661 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,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(83,plain,
( ( ! [SY713: $i,SY714: $i > $o] :
( ~ ! [SY715: $i] :
( ~ ( r4 @ SY713 @ SY715 )
| ( SY714 @ SY715 ) )
| ! [SY716: $i] :
( ~ ( r2 @ SY713 @ SY716 )
| ! [SY709: $i] :
( ~ ( r4 @ SY716 @ SY709 )
| ( SY714 @ SY709 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,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(84,plain,
( ( ! [SY761: $i,SY762: $i > $o] :
( ~ ! [SY763: $i] :
( ~ ( r4 @ SY761 @ SY763 )
| ( SY762 @ SY763 ) )
| ! [SY764: $i] :
( ~ ( r1 @ SY761 @ SY764 )
| ! [SY757: $i] :
( ~ ( r4 @ SY764 @ SY757 )
| ( SY762 @ SY757 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,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(85,plain,
( ( ! [SY809: $i,SY810: $i > $o] :
( ~ ! [SY811: $i] :
( ~ ( r3 @ SY809 @ SY811 )
| ( SY810 @ SY811 ) )
| ! [SY812: $i] :
( ~ ( r5 @ SY809 @ SY812 )
| ! [SY805: $i] :
( ~ ( r3 @ SY812 @ SY805 )
| ( SY810 @ SY805 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,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(86,plain,
( ( ! [SY857: $i,SY858: $i > $o] :
( ~ ! [SY859: $i] :
( ~ ( r3 @ SY857 @ SY859 )
| ( SY858 @ SY859 ) )
| ! [SY860: $i] :
( ~ ( r4 @ SY857 @ SY860 )
| ! [SY853: $i] :
( ~ ( r3 @ SY860 @ SY853 )
| ( SY858 @ SY853 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,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(87,plain,
( ( ! [SY905: $i,SY906: $i > $o] :
( ~ ! [SY907: $i] :
( ~ ( r3 @ SY905 @ SY907 )
| ( SY906 @ SY907 ) )
| ! [SY908: $i] :
( ~ ( r3 @ SY905 @ SY908 )
| ! [SY901: $i] :
( ~ ( r3 @ SY908 @ SY901 )
| ( SY906 @ SY901 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,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(88,plain,
( ( ! [SY953: $i,SY954: $i > $o] :
( ~ ! [SY955: $i] :
( ~ ( r3 @ SY953 @ SY955 )
| ( SY954 @ SY955 ) )
| ! [SY956: $i] :
( ~ ( r2 @ SY953 @ SY956 )
| ! [SY949: $i] :
( ~ ( r3 @ SY956 @ SY949 )
| ( SY954 @ SY949 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,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(89,plain,
( ( ! [SY1001: $i,SY1002: $i > $o] :
( ~ ! [SY1003: $i] :
( ~ ( r3 @ SY1001 @ SY1003 )
| ( SY1002 @ SY1003 ) )
| ! [SY1004: $i] :
( ~ ( r1 @ SY1001 @ SY1004 )
| ! [SY997: $i] :
( ~ ( r3 @ SY1004 @ SY997 )
| ( SY1002 @ SY997 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,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(90,plain,
( ( ! [SY1049: $i,SY1050: $i > $o] :
( ~ ! [SY1051: $i] :
( ~ ( r2 @ SY1049 @ SY1051 )
| ( SY1050 @ SY1051 ) )
| ! [SY1052: $i] :
( ~ ( r5 @ SY1049 @ SY1052 )
| ! [SY1045: $i] :
( ~ ( r2 @ SY1052 @ SY1045 )
| ( SY1050 @ SY1045 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,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(91,plain,
( ( ! [SY1097: $i,SY1098: $i > $o] :
( ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1097 @ SY1099 )
| ( SY1098 @ SY1099 ) )
| ! [SY1100: $i] :
( ~ ( r4 @ SY1097 @ SY1100 )
| ! [SY1093: $i] :
( ~ ( r2 @ SY1100 @ SY1093 )
| ( SY1098 @ SY1093 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,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(92,plain,
( ( ! [SY1145: $i,SY1146: $i > $o] :
( ~ ! [SY1147: $i] :
( ~ ( r2 @ SY1145 @ SY1147 )
| ( SY1146 @ SY1147 ) )
| ! [SY1148: $i] :
( ~ ( r3 @ SY1145 @ SY1148 )
| ! [SY1141: $i] :
( ~ ( r2 @ SY1148 @ SY1141 )
| ( SY1146 @ SY1141 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23,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(93,plain,
( ( ! [SY1193: $i,SY1194: $i > $o] :
( ~ ! [SY1195: $i] :
( ~ ( r2 @ SY1193 @ SY1195 )
| ( SY1194 @ SY1195 ) )
| ! [SY1196: $i] :
( ~ ( r2 @ SY1193 @ SY1196 )
| ! [SY1189: $i] :
( ~ ( r2 @ SY1196 @ SY1189 )
| ( SY1194 @ SY1189 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,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(94,plain,
( ( ! [SY1241: $i,SY1242: $i > $o] :
( ~ ! [SY1243: $i] :
( ~ ( r2 @ SY1241 @ SY1243 )
| ( SY1242 @ SY1243 ) )
| ! [SY1244: $i] :
( ~ ( r1 @ SY1241 @ SY1244 )
| ! [SY1237: $i] :
( ~ ( r2 @ SY1244 @ SY1237 )
| ( SY1242 @ SY1237 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,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(95,plain,
( ( ! [SY1289: $i,SY1290: $i > $o] :
( ~ ! [SY1291: $i] :
( ~ ( r1 @ SY1289 @ SY1291 )
| ( SY1290 @ SY1291 ) )
| ! [SY1292: $i] :
( ~ ( r5 @ SY1289 @ SY1292 )
| ! [SY1285: $i] :
( ~ ( r1 @ SY1292 @ SY1285 )
| ( SY1290 @ SY1285 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,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(96,plain,
( ( ! [SY1337: $i,SY1338: $i > $o] :
( ~ ! [SY1339: $i] :
( ~ ( r1 @ SY1337 @ SY1339 )
| ( SY1338 @ SY1339 ) )
| ! [SY1340: $i] :
( ~ ( r4 @ SY1337 @ SY1340 )
| ! [SY1333: $i] :
( ~ ( r1 @ SY1340 @ SY1333 )
| ( SY1338 @ SY1333 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,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(97,plain,
( ( ! [SY1385: $i,SY1386: $i > $o] :
( ~ ! [SY1387: $i] :
( ~ ( r1 @ SY1385 @ SY1387 )
| ( SY1386 @ SY1387 ) )
| ! [SY1388: $i] :
( ~ ( r3 @ SY1385 @ SY1388 )
| ! [SY1381: $i] :
( ~ ( r1 @ SY1388 @ SY1381 )
| ( SY1386 @ SY1381 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,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(98,plain,
( ( ! [SY1433: $i,SY1434: $i > $o] :
( ~ ! [SY1435: $i] :
( ~ ( r1 @ SY1433 @ SY1435 )
| ( SY1434 @ SY1435 ) )
| ! [SY1436: $i] :
( ~ ( r2 @ SY1433 @ SY1436 )
| ! [SY1429: $i] :
( ~ ( r1 @ SY1436 @ SY1429 )
| ( SY1434 @ SY1429 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,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(99,plain,
( ( ! [SY1481: $i,SY1482: $i > $o] :
( ~ ! [SY1483: $i] :
( ~ ( r1 @ SY1481 @ SY1483 )
| ( SY1482 @ SY1483 ) )
| ! [SY1484: $i] :
( ~ ( r1 @ SY1481 @ SY1484 )
| ! [SY1477: $i] :
( ~ ( r1 @ SY1484 @ SY1477 )
| ( SY1482 @ SY1477 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,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(100,plain,
( ( ! [SY1520: $i,SY1521: $i > $o] :
( ~ ! [SY1522: $i] :
( ~ ( r5 @ SY1520 @ SY1522 )
| ( SY1521 @ SY1522 ) )
| ! [SY1523: $i] :
( ~ ( r4 @ SY1520 @ SY1523 )
| ( SY1521 @ SY1523 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,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(101,plain,
( ( ! [SY1557: $i,SY1558: $i > $o] :
( ~ ! [SY1559: $i] :
( ~ ( r5 @ SY1557 @ SY1559 )
| ( SY1558 @ SY1559 ) )
| ! [SY1560: $i] :
( ~ ( r3 @ SY1557 @ SY1560 )
| ( SY1558 @ SY1560 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,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(102,plain,
( ( ! [SY1594: $i,SY1595: $i > $o] :
( ~ ! [SY1596: $i] :
( ~ ( r4 @ SY1594 @ SY1596 )
| ( SY1595 @ SY1596 ) )
| ! [SY1597: $i] :
( ~ ( r3 @ SY1594 @ SY1597 )
| ( SY1595 @ SY1597 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,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(103,plain,
( ( ! [SY1631: $i,SY1632: $i > $o] :
( ~ ! [SY1633: $i] :
( ~ ( r5 @ SY1631 @ SY1633 )
| ( SY1632 @ SY1633 ) )
| ! [SY1634: $i] :
( ~ ( r2 @ SY1631 @ SY1634 )
| ( SY1632 @ SY1634 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34,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(104,plain,
( ( ! [SY1668: $i,SY1669: $i > $o] :
( ~ ! [SY1670: $i] :
( ~ ( r4 @ SY1668 @ SY1670 )
| ( SY1669 @ SY1670 ) )
| ! [SY1671: $i] :
( ~ ( r2 @ SY1668 @ SY1671 )
| ( SY1669 @ SY1671 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35,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(105,plain,
( ( ! [SY1705: $i,SY1706: $i > $o] :
( ~ ! [SY1707: $i] :
( ~ ( r3 @ SY1705 @ SY1707 )
| ( SY1706 @ SY1707 ) )
| ! [SY1708: $i] :
( ~ ( r2 @ SY1705 @ SY1708 )
| ( SY1706 @ SY1708 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,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(106,plain,
( ( ! [SY1742: $i,SY1743: $i > $o] :
( ~ ! [SY1744: $i] :
( ~ ( r5 @ SY1742 @ SY1744 )
| ( SY1743 @ SY1744 ) )
| ! [SY1745: $i] :
( ~ ( r1 @ SY1742 @ SY1745 )
| ( SY1743 @ SY1745 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37,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(107,plain,
( ( ! [SY1779: $i,SY1780: $i > $o] :
( ~ ! [SY1781: $i] :
( ~ ( r4 @ SY1779 @ SY1781 )
| ( SY1780 @ SY1781 ) )
| ! [SY1782: $i] :
( ~ ( r1 @ SY1779 @ SY1782 )
| ( SY1780 @ SY1782 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38,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(108,plain,
( ( ! [SY1816: $i,SY1817: $i > $o] :
( ~ ! [SY1818: $i] :
( ~ ( r3 @ SY1816 @ SY1818 )
| ( SY1817 @ SY1818 ) )
| ! [SY1819: $i] :
( ~ ( r1 @ SY1816 @ SY1819 )
| ( SY1817 @ SY1819 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,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(109,plain,
( ( ! [SY1853: $i,SY1854: $i > $o] :
( ~ ! [SY1855: $i] :
( ~ ( r2 @ SY1853 @ SY1855 )
| ( SY1854 @ SY1855 ) )
| ! [SY1856: $i] :
( ~ ( r1 @ SY1853 @ SY1856 )
| ( SY1854 @ SY1856 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,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(110,plain,
( ( ! [SY1893: $i,SY1894: $i > $o] :
( ~ ! [SY1895: $i] :
( ~ ( r5 @ SY1893 @ SY1895 )
| ( SY1894 @ SY1895 ) )
| ~ ! [SY1896: $i] :
( ~ ( r5 @ SY1893 @ SY1896 )
| ~ ( SY1894 @ SY1896 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,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(111,plain,
( ( ! [SY1933: $i,SY1934: $i > $o] :
( ~ ! [SY1935: $i] :
( ~ ( r4 @ SY1933 @ SY1935 )
| ( SY1934 @ SY1935 ) )
| ~ ! [SY1936: $i] :
( ~ ( r4 @ SY1933 @ SY1936 )
| ~ ( SY1934 @ SY1936 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,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(112,plain,
( ( ! [SY1973: $i,SY1974: $i > $o] :
( ~ ! [SY1975: $i] :
( ~ ( r3 @ SY1973 @ SY1975 )
| ( SY1974 @ SY1975 ) )
| ~ ! [SY1976: $i] :
( ~ ( r3 @ SY1973 @ SY1976 )
| ~ ( SY1974 @ SY1976 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,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(113,plain,
( ( ! [SY2013: $i,SY2014: $i > $o] :
( ~ ! [SY2015: $i] :
( ~ ( r2 @ SY2013 @ SY2015 )
| ( SY2014 @ SY2015 ) )
| ~ ! [SY2016: $i] :
( ~ ( r2 @ SY2013 @ SY2016 )
| ~ ( SY2014 @ SY2016 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,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(114,plain,
( ( ! [SY2053: $i,SY2054: $i > $o] :
( ~ ! [SY2055: $i] :
( ~ ( r1 @ SY2053 @ SY2055 )
| ( SY2054 @ SY2055 ) )
| ~ ! [SY2056: $i] :
( ~ ( r1 @ SY2053 @ SY2056 )
| ~ ( SY2054 @ SY2056 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,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(115,plain,
( ( ! [SY2066: $i,SY2067: $i] :
( ~ ( r5 @ SY2066 @ SY2067 )
| ( physics_student @ mike @ SY2067 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,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(116,plain,
( ( ! [SY2075: $i,SY2076: $i] :
( ~ ( r5 @ SY2075 @ SY2076 )
| ( maths_student @ peter @ SY2076 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,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(117,plain,
( ( ! [SY2084: $i,SY2085: $i] :
( ~ ( r2 @ SY2084 @ SY2085 )
| ( mathematician @ tom @ SY2085 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48,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(118,plain,
( ( ! [SY2088: $i] : ( maths_teacher @ john @ SY2088 ) )
= $true ),
inference(unfold_def,[status(thm)],[49,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(119,plain,
( ( ! [SY2122: $i,SY2123: mu,SY2124: $i] :
( ~ ( r2 @ SY2122 @ SY2124 )
| ~ ( good_in_physics @ SY2123 @ SY2124 )
| ~ ! [SY2119: $i] :
( ~ ( r2 @ SY2124 @ SY2119 )
| ~ ( good_in_maths @ SY2123 @ SY2119 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,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(120,plain,
( ( ! [SY2162: $i,SY2163: mu,SY2164: $i] :
( ~ ( r3 @ SY2162 @ SY2164 )
| ~ ( physics_student @ SY2163 @ SY2164 )
| ~ ! [SY2159: $i] :
( ~ ( r5 @ SY2164 @ SY2159 )
| ~ ( good_in_physics @ SY2163 @ SY2159 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,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(121,plain,
( ( ! [SY2202: $i,SY2203: mu,SY2204: $i] :
( ~ ( r3 @ SY2202 @ SY2204 )
| ~ ( physics_student @ SY2203 @ SY2204 )
| ~ ! [SY2199: $i] :
( ~ ( r4 @ SY2204 @ SY2199 )
| ~ ( good_in_physics @ SY2203 @ SY2199 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,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(122,plain,
( ( ! [SY2242: $i,SY2243: mu,SY2244: $i] :
( ~ ( r3 @ SY2242 @ SY2244 )
| ~ ( physics_student @ SY2243 @ SY2244 )
| ~ ! [SY2239: $i] :
( ~ ( r3 @ SY2244 @ SY2239 )
| ~ ( good_in_physics @ SY2243 @ SY2239 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53,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(123,plain,
( ( ! [SY2282: $i,SY2283: mu,SY2284: $i] :
( ~ ( r3 @ SY2282 @ SY2284 )
| ~ ( physics_student @ SY2283 @ SY2284 )
| ~ ! [SY2279: $i] :
( ~ ( r2 @ SY2284 @ SY2279 )
| ~ ( good_in_physics @ SY2283 @ SY2279 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,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(124,plain,
( ( ! [SY2322: $i,SY2323: mu,SY2324: $i] :
( ~ ( r3 @ SY2322 @ SY2324 )
| ~ ( physics_student @ SY2323 @ SY2324 )
| ~ ! [SY2319: $i] :
( ~ ( r1 @ SY2324 @ SY2319 )
| ~ ( good_in_physics @ SY2323 @ SY2319 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55,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(125,plain,
( ( ! [SY2362: $i,SY2363: mu,SY2364: $i] :
( ~ ( r3 @ SY2362 @ SY2364 )
| ~ ( maths_student @ SY2363 @ SY2364 )
| ~ ! [SY2359: $i] :
( ~ ( r5 @ SY2364 @ SY2359 )
| ~ ( good_in_maths @ SY2363 @ SY2359 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56,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(126,plain,
( ( ! [SY2402: $i,SY2403: mu,SY2404: $i] :
( ~ ( r3 @ SY2402 @ SY2404 )
| ~ ( maths_student @ SY2403 @ SY2404 )
| ~ ! [SY2399: $i] :
( ~ ( r4 @ SY2404 @ SY2399 )
| ~ ( good_in_maths @ SY2403 @ SY2399 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57,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(127,plain,
( ( ! [SY2442: $i,SY2443: mu,SY2444: $i] :
( ~ ( r3 @ SY2442 @ SY2444 )
| ~ ( maths_student @ SY2443 @ SY2444 )
| ~ ! [SY2439: $i] :
( ~ ( r3 @ SY2444 @ SY2439 )
| ~ ( good_in_maths @ SY2443 @ SY2439 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58,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(128,plain,
( ( ! [SY2482: $i,SY2483: mu,SY2484: $i] :
( ~ ( r3 @ SY2482 @ SY2484 )
| ~ ( maths_student @ SY2483 @ SY2484 )
| ~ ! [SY2479: $i] :
( ~ ( r2 @ SY2484 @ SY2479 )
| ~ ( good_in_maths @ SY2483 @ SY2479 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59,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(129,plain,
( ( ! [SY2522: $i,SY2523: mu,SY2524: $i] :
( ~ ( r3 @ SY2522 @ SY2524 )
| ~ ( maths_student @ SY2523 @ SY2524 )
| ~ ! [SY2519: $i] :
( ~ ( r1 @ SY2524 @ SY2519 )
| ~ ( good_in_maths @ SY2523 @ SY2519 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60,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(130,plain,
( ( ! [SY2568: $i,SY2569: mu,SY2570: $i] :
( ~ ( r5 @ SY2568 @ SY2570 )
| ~ ! [SY2563: $i] :
( ~ ( r5 @ SY2570 @ SY2563 )
| ( mathematician @ SY2569 @ SY2563 ) )
| ! [SY2564: $i] :
( ~ ( r5 @ SY2570 @ SY2564 )
| ( good_in_maths @ SY2569 @ SY2564 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61,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(131,plain,
( ( ! [SY2616: $i,SY2617: mu,SY2618: $i] :
( ~ ( r5 @ SY2616 @ SY2618 )
| ~ ! [SY2611: $i] :
( ~ ( r4 @ SY2618 @ SY2611 )
| ( mathematician @ SY2617 @ SY2611 ) )
| ! [SY2612: $i] :
( ~ ( r4 @ SY2618 @ SY2612 )
| ( good_in_maths @ SY2617 @ SY2612 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62,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(132,plain,
( ( ! [SY2664: $i,SY2665: mu,SY2666: $i] :
( ~ ( r5 @ SY2664 @ SY2666 )
| ~ ! [SY2659: $i] :
( ~ ( r3 @ SY2666 @ SY2659 )
| ( mathematician @ SY2665 @ SY2659 ) )
| ! [SY2660: $i] :
( ~ ( r3 @ SY2666 @ SY2660 )
| ( good_in_maths @ SY2665 @ SY2660 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63,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(133,plain,
( ( ! [SY2712: $i,SY2713: mu,SY2714: $i] :
( ~ ( r5 @ SY2712 @ SY2714 )
| ~ ! [SY2707: $i] :
( ~ ( r2 @ SY2714 @ SY2707 )
| ( mathematician @ SY2713 @ SY2707 ) )
| ! [SY2708: $i] :
( ~ ( r2 @ SY2714 @ SY2708 )
| ( good_in_maths @ SY2713 @ SY2708 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64,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(134,plain,
( ( ! [SY2760: $i,SY2761: mu,SY2762: $i] :
( ~ ( r5 @ SY2760 @ SY2762 )
| ~ ! [SY2755: $i] :
( ~ ( r1 @ SY2762 @ SY2755 )
| ( mathematician @ SY2761 @ SY2755 ) )
| ! [SY2756: $i] :
( ~ ( r1 @ SY2762 @ SY2756 )
| ( good_in_maths @ SY2761 @ SY2756 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65,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(135,plain,
( ( ! [SY2788: $i,SY2789: mu] :
( ~ ( maths_teacher @ SY2789 @ SY2788 )
| ! [SY2790: $i] :
( ~ ( r4 @ SY2788 @ SY2790 )
| ( good_in_maths @ SY2789 @ SY2790 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66,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(136,plain,
( ( ~ ! [SY2794: mu] :
~ ~ ! [SY2795: $i] :
( ~ ( r1 @ sK1_SY25 @ SY2795 )
| ~ ( good_in_maths @ SY2794 @ SY2795 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(137,plain,
( ( ! [SY2794: mu] :
~ ~ ! [SY2795: $i] :
( ~ ( r1 @ sK1_SY25 @ SY2795 )
| ~ ( good_in_maths @ SY2794 @ SY2795 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[136]) ).
thf(138,plain,
( ( ! [SY2788: $i,SY2789: mu] :
( ~ ( maths_teacher @ SY2789 @ SY2788 )
| ! [SY2790: $i] :
( ~ ( r4 @ SY2788 @ SY2790 )
| ( good_in_maths @ SY2789 @ SY2790 ) ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(139,plain,
( ( ! [SY2760: $i,SY2761: mu,SY2762: $i] :
( ~ ( r5 @ SY2760 @ SY2762 )
| ~ ! [SY2755: $i] :
( ~ ( r1 @ SY2762 @ SY2755 )
| ( mathematician @ SY2761 @ SY2755 ) )
| ! [SY2756: $i] :
( ~ ( r1 @ SY2762 @ SY2756 )
| ( good_in_maths @ SY2761 @ SY2756 ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(140,plain,
( ( ! [SY2712: $i,SY2713: mu,SY2714: $i] :
( ~ ( r5 @ SY2712 @ SY2714 )
| ~ ! [SY2707: $i] :
( ~ ( r2 @ SY2714 @ SY2707 )
| ( mathematician @ SY2713 @ SY2707 ) )
| ! [SY2708: $i] :
( ~ ( r2 @ SY2714 @ SY2708 )
| ( good_in_maths @ SY2713 @ SY2708 ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(141,plain,
( ( ! [SY2664: $i,SY2665: mu,SY2666: $i] :
( ~ ( r5 @ SY2664 @ SY2666 )
| ~ ! [SY2659: $i] :
( ~ ( r3 @ SY2666 @ SY2659 )
| ( mathematician @ SY2665 @ SY2659 ) )
| ! [SY2660: $i] :
( ~ ( r3 @ SY2666 @ SY2660 )
| ( good_in_maths @ SY2665 @ SY2660 ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(142,plain,
( ( ! [SY2616: $i,SY2617: mu,SY2618: $i] :
( ~ ( r5 @ SY2616 @ SY2618 )
| ~ ! [SY2611: $i] :
( ~ ( r4 @ SY2618 @ SY2611 )
| ( mathematician @ SY2617 @ SY2611 ) )
| ! [SY2612: $i] :
( ~ ( r4 @ SY2618 @ SY2612 )
| ( good_in_maths @ SY2617 @ SY2612 ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(143,plain,
( ( ! [SY2568: $i,SY2569: mu,SY2570: $i] :
( ~ ( r5 @ SY2568 @ SY2570 )
| ~ ! [SY2563: $i] :
( ~ ( r5 @ SY2570 @ SY2563 )
| ( mathematician @ SY2569 @ SY2563 ) )
| ! [SY2564: $i] :
( ~ ( r5 @ SY2570 @ SY2564 )
| ( good_in_maths @ SY2569 @ SY2564 ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(144,plain,
( ( ! [SY2522: $i,SY2523: mu,SY2524: $i] :
( ~ ( r3 @ SY2522 @ SY2524 )
| ~ ( maths_student @ SY2523 @ SY2524 )
| ~ ! [SY2519: $i] :
( ~ ( r1 @ SY2524 @ SY2519 )
| ~ ( good_in_maths @ SY2523 @ SY2519 ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(145,plain,
( ( ! [SY2482: $i,SY2483: mu,SY2484: $i] :
( ~ ( r3 @ SY2482 @ SY2484 )
| ~ ( maths_student @ SY2483 @ SY2484 )
| ~ ! [SY2479: $i] :
( ~ ( r2 @ SY2484 @ SY2479 )
| ~ ( good_in_maths @ SY2483 @ SY2479 ) ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(146,plain,
( ( ! [SY2442: $i,SY2443: mu,SY2444: $i] :
( ~ ( r3 @ SY2442 @ SY2444 )
| ~ ( maths_student @ SY2443 @ SY2444 )
| ~ ! [SY2439: $i] :
( ~ ( r3 @ SY2444 @ SY2439 )
| ~ ( good_in_maths @ SY2443 @ SY2439 ) ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(147,plain,
( ( ! [SY2402: $i,SY2403: mu,SY2404: $i] :
( ~ ( r3 @ SY2402 @ SY2404 )
| ~ ( maths_student @ SY2403 @ SY2404 )
| ~ ! [SY2399: $i] :
( ~ ( r4 @ SY2404 @ SY2399 )
| ~ ( good_in_maths @ SY2403 @ SY2399 ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(148,plain,
( ( ! [SY2362: $i,SY2363: mu,SY2364: $i] :
( ~ ( r3 @ SY2362 @ SY2364 )
| ~ ( maths_student @ SY2363 @ SY2364 )
| ~ ! [SY2359: $i] :
( ~ ( r5 @ SY2364 @ SY2359 )
| ~ ( good_in_maths @ SY2363 @ SY2359 ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(149,plain,
( ( ! [SY2322: $i,SY2323: mu,SY2324: $i] :
( ~ ( r3 @ SY2322 @ SY2324 )
| ~ ( physics_student @ SY2323 @ SY2324 )
| ~ ! [SY2319: $i] :
( ~ ( r1 @ SY2324 @ SY2319 )
| ~ ( good_in_physics @ SY2323 @ SY2319 ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(150,plain,
( ( ! [SY2282: $i,SY2283: mu,SY2284: $i] :
( ~ ( r3 @ SY2282 @ SY2284 )
| ~ ( physics_student @ SY2283 @ SY2284 )
| ~ ! [SY2279: $i] :
( ~ ( r2 @ SY2284 @ SY2279 )
| ~ ( good_in_physics @ SY2283 @ SY2279 ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(151,plain,
( ( ! [SY2242: $i,SY2243: mu,SY2244: $i] :
( ~ ( r3 @ SY2242 @ SY2244 )
| ~ ( physics_student @ SY2243 @ SY2244 )
| ~ ! [SY2239: $i] :
( ~ ( r3 @ SY2244 @ SY2239 )
| ~ ( good_in_physics @ SY2243 @ SY2239 ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(152,plain,
( ( ! [SY2202: $i,SY2203: mu,SY2204: $i] :
( ~ ( r3 @ SY2202 @ SY2204 )
| ~ ( physics_student @ SY2203 @ SY2204 )
| ~ ! [SY2199: $i] :
( ~ ( r4 @ SY2204 @ SY2199 )
| ~ ( good_in_physics @ SY2203 @ SY2199 ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(153,plain,
( ( ! [SY2162: $i,SY2163: mu,SY2164: $i] :
( ~ ( r3 @ SY2162 @ SY2164 )
| ~ ( physics_student @ SY2163 @ SY2164 )
| ~ ! [SY2159: $i] :
( ~ ( r5 @ SY2164 @ SY2159 )
| ~ ( good_in_physics @ SY2163 @ SY2159 ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(154,plain,
( ( ! [SY2122: $i,SY2123: mu,SY2124: $i] :
( ~ ( r2 @ SY2122 @ SY2124 )
| ~ ( good_in_physics @ SY2123 @ SY2124 )
| ~ ! [SY2119: $i] :
( ~ ( r2 @ SY2124 @ SY2119 )
| ~ ( good_in_maths @ SY2123 @ SY2119 ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(155,plain,
( ( ! [SY2088: $i] : ( maths_teacher @ john @ SY2088 ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(156,plain,
( ( ! [SY2084: $i,SY2085: $i] :
( ~ ( r2 @ SY2084 @ SY2085 )
| ( mathematician @ tom @ SY2085 ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(157,plain,
( ( ! [SY2075: $i,SY2076: $i] :
( ~ ( r5 @ SY2075 @ SY2076 )
| ( maths_student @ peter @ SY2076 ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(158,plain,
( ( ! [SY2066: $i,SY2067: $i] :
( ~ ( r5 @ SY2066 @ SY2067 )
| ( physics_student @ mike @ SY2067 ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(159,plain,
( ( ! [SY2053: $i,SY2054: $i > $o] :
( ~ ! [SY2055: $i] :
( ~ ( r1 @ SY2053 @ SY2055 )
| ( SY2054 @ SY2055 ) )
| ~ ! [SY2056: $i] :
( ~ ( r1 @ SY2053 @ SY2056 )
| ~ ( SY2054 @ SY2056 ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(160,plain,
( ( ! [SY2013: $i,SY2014: $i > $o] :
( ~ ! [SY2015: $i] :
( ~ ( r2 @ SY2013 @ SY2015 )
| ( SY2014 @ SY2015 ) )
| ~ ! [SY2016: $i] :
( ~ ( r2 @ SY2013 @ SY2016 )
| ~ ( SY2014 @ SY2016 ) ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(161,plain,
( ( ! [SY1973: $i,SY1974: $i > $o] :
( ~ ! [SY1975: $i] :
( ~ ( r3 @ SY1973 @ SY1975 )
| ( SY1974 @ SY1975 ) )
| ~ ! [SY1976: $i] :
( ~ ( r3 @ SY1973 @ SY1976 )
| ~ ( SY1974 @ SY1976 ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(162,plain,
( ( ! [SY1933: $i,SY1934: $i > $o] :
( ~ ! [SY1935: $i] :
( ~ ( r4 @ SY1933 @ SY1935 )
| ( SY1934 @ SY1935 ) )
| ~ ! [SY1936: $i] :
( ~ ( r4 @ SY1933 @ SY1936 )
| ~ ( SY1934 @ SY1936 ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(163,plain,
( ( ! [SY1893: $i,SY1894: $i > $o] :
( ~ ! [SY1895: $i] :
( ~ ( r5 @ SY1893 @ SY1895 )
| ( SY1894 @ SY1895 ) )
| ~ ! [SY1896: $i] :
( ~ ( r5 @ SY1893 @ SY1896 )
| ~ ( SY1894 @ SY1896 ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(164,plain,
( ( ! [SY1853: $i,SY1854: $i > $o] :
( ~ ! [SY1855: $i] :
( ~ ( r2 @ SY1853 @ SY1855 )
| ( SY1854 @ SY1855 ) )
| ! [SY1856: $i] :
( ~ ( r1 @ SY1853 @ SY1856 )
| ( SY1854 @ SY1856 ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(165,plain,
( ( ! [SY1816: $i,SY1817: $i > $o] :
( ~ ! [SY1818: $i] :
( ~ ( r3 @ SY1816 @ SY1818 )
| ( SY1817 @ SY1818 ) )
| ! [SY1819: $i] :
( ~ ( r1 @ SY1816 @ SY1819 )
| ( SY1817 @ SY1819 ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(166,plain,
( ( ! [SY1779: $i,SY1780: $i > $o] :
( ~ ! [SY1781: $i] :
( ~ ( r4 @ SY1779 @ SY1781 )
| ( SY1780 @ SY1781 ) )
| ! [SY1782: $i] :
( ~ ( r1 @ SY1779 @ SY1782 )
| ( SY1780 @ SY1782 ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(167,plain,
( ( ! [SY1742: $i,SY1743: $i > $o] :
( ~ ! [SY1744: $i] :
( ~ ( r5 @ SY1742 @ SY1744 )
| ( SY1743 @ SY1744 ) )
| ! [SY1745: $i] :
( ~ ( r1 @ SY1742 @ SY1745 )
| ( SY1743 @ SY1745 ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(168,plain,
( ( ! [SY1705: $i,SY1706: $i > $o] :
( ~ ! [SY1707: $i] :
( ~ ( r3 @ SY1705 @ SY1707 )
| ( SY1706 @ SY1707 ) )
| ! [SY1708: $i] :
( ~ ( r2 @ SY1705 @ SY1708 )
| ( SY1706 @ SY1708 ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(169,plain,
( ( ! [SY1668: $i,SY1669: $i > $o] :
( ~ ! [SY1670: $i] :
( ~ ( r4 @ SY1668 @ SY1670 )
| ( SY1669 @ SY1670 ) )
| ! [SY1671: $i] :
( ~ ( r2 @ SY1668 @ SY1671 )
| ( SY1669 @ SY1671 ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(170,plain,
( ( ! [SY1631: $i,SY1632: $i > $o] :
( ~ ! [SY1633: $i] :
( ~ ( r5 @ SY1631 @ SY1633 )
| ( SY1632 @ SY1633 ) )
| ! [SY1634: $i] :
( ~ ( r2 @ SY1631 @ SY1634 )
| ( SY1632 @ SY1634 ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(171,plain,
( ( ! [SY1594: $i,SY1595: $i > $o] :
( ~ ! [SY1596: $i] :
( ~ ( r4 @ SY1594 @ SY1596 )
| ( SY1595 @ SY1596 ) )
| ! [SY1597: $i] :
( ~ ( r3 @ SY1594 @ SY1597 )
| ( SY1595 @ SY1597 ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(172,plain,
( ( ! [SY1557: $i,SY1558: $i > $o] :
( ~ ! [SY1559: $i] :
( ~ ( r5 @ SY1557 @ SY1559 )
| ( SY1558 @ SY1559 ) )
| ! [SY1560: $i] :
( ~ ( r3 @ SY1557 @ SY1560 )
| ( SY1558 @ SY1560 ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(173,plain,
( ( ! [SY1520: $i,SY1521: $i > $o] :
( ~ ! [SY1522: $i] :
( ~ ( r5 @ SY1520 @ SY1522 )
| ( SY1521 @ SY1522 ) )
| ! [SY1523: $i] :
( ~ ( r4 @ SY1520 @ SY1523 )
| ( SY1521 @ SY1523 ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(174,plain,
( ( ! [SY1481: $i,SY1482: $i > $o] :
( ~ ! [SY1483: $i] :
( ~ ( r1 @ SY1481 @ SY1483 )
| ( SY1482 @ SY1483 ) )
| ! [SY1484: $i] :
( ~ ( r1 @ SY1481 @ SY1484 )
| ! [SY1477: $i] :
( ~ ( r1 @ SY1484 @ SY1477 )
| ( SY1482 @ SY1477 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(175,plain,
( ( ! [SY1433: $i,SY1434: $i > $o] :
( ~ ! [SY1435: $i] :
( ~ ( r1 @ SY1433 @ SY1435 )
| ( SY1434 @ SY1435 ) )
| ! [SY1436: $i] :
( ~ ( r2 @ SY1433 @ SY1436 )
| ! [SY1429: $i] :
( ~ ( r1 @ SY1436 @ SY1429 )
| ( SY1434 @ SY1429 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(176,plain,
( ( ! [SY1385: $i,SY1386: $i > $o] :
( ~ ! [SY1387: $i] :
( ~ ( r1 @ SY1385 @ SY1387 )
| ( SY1386 @ SY1387 ) )
| ! [SY1388: $i] :
( ~ ( r3 @ SY1385 @ SY1388 )
| ! [SY1381: $i] :
( ~ ( r1 @ SY1388 @ SY1381 )
| ( SY1386 @ SY1381 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(177,plain,
( ( ! [SY1337: $i,SY1338: $i > $o] :
( ~ ! [SY1339: $i] :
( ~ ( r1 @ SY1337 @ SY1339 )
| ( SY1338 @ SY1339 ) )
| ! [SY1340: $i] :
( ~ ( r4 @ SY1337 @ SY1340 )
| ! [SY1333: $i] :
( ~ ( r1 @ SY1340 @ SY1333 )
| ( SY1338 @ SY1333 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(178,plain,
( ( ! [SY1289: $i,SY1290: $i > $o] :
( ~ ! [SY1291: $i] :
( ~ ( r1 @ SY1289 @ SY1291 )
| ( SY1290 @ SY1291 ) )
| ! [SY1292: $i] :
( ~ ( r5 @ SY1289 @ SY1292 )
| ! [SY1285: $i] :
( ~ ( r1 @ SY1292 @ SY1285 )
| ( SY1290 @ SY1285 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(179,plain,
( ( ! [SY1241: $i,SY1242: $i > $o] :
( ~ ! [SY1243: $i] :
( ~ ( r2 @ SY1241 @ SY1243 )
| ( SY1242 @ SY1243 ) )
| ! [SY1244: $i] :
( ~ ( r1 @ SY1241 @ SY1244 )
| ! [SY1237: $i] :
( ~ ( r2 @ SY1244 @ SY1237 )
| ( SY1242 @ SY1237 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(180,plain,
( ( ! [SY1193: $i,SY1194: $i > $o] :
( ~ ! [SY1195: $i] :
( ~ ( r2 @ SY1193 @ SY1195 )
| ( SY1194 @ SY1195 ) )
| ! [SY1196: $i] :
( ~ ( r2 @ SY1193 @ SY1196 )
| ! [SY1189: $i] :
( ~ ( r2 @ SY1196 @ SY1189 )
| ( SY1194 @ SY1189 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(181,plain,
( ( ! [SY1145: $i,SY1146: $i > $o] :
( ~ ! [SY1147: $i] :
( ~ ( r2 @ SY1145 @ SY1147 )
| ( SY1146 @ SY1147 ) )
| ! [SY1148: $i] :
( ~ ( r3 @ SY1145 @ SY1148 )
| ! [SY1141: $i] :
( ~ ( r2 @ SY1148 @ SY1141 )
| ( SY1146 @ SY1141 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(182,plain,
( ( ! [SY1097: $i,SY1098: $i > $o] :
( ~ ! [SY1099: $i] :
( ~ ( r2 @ SY1097 @ SY1099 )
| ( SY1098 @ SY1099 ) )
| ! [SY1100: $i] :
( ~ ( r4 @ SY1097 @ SY1100 )
| ! [SY1093: $i] :
( ~ ( r2 @ SY1100 @ SY1093 )
| ( SY1098 @ SY1093 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(183,plain,
( ( ! [SY1049: $i,SY1050: $i > $o] :
( ~ ! [SY1051: $i] :
( ~ ( r2 @ SY1049 @ SY1051 )
| ( SY1050 @ SY1051 ) )
| ! [SY1052: $i] :
( ~ ( r5 @ SY1049 @ SY1052 )
| ! [SY1045: $i] :
( ~ ( r2 @ SY1052 @ SY1045 )
| ( SY1050 @ SY1045 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(184,plain,
( ( ! [SY1001: $i,SY1002: $i > $o] :
( ~ ! [SY1003: $i] :
( ~ ( r3 @ SY1001 @ SY1003 )
| ( SY1002 @ SY1003 ) )
| ! [SY1004: $i] :
( ~ ( r1 @ SY1001 @ SY1004 )
| ! [SY997: $i] :
( ~ ( r3 @ SY1004 @ SY997 )
| ( SY1002 @ SY997 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(185,plain,
( ( ! [SY953: $i,SY954: $i > $o] :
( ~ ! [SY955: $i] :
( ~ ( r3 @ SY953 @ SY955 )
| ( SY954 @ SY955 ) )
| ! [SY956: $i] :
( ~ ( r2 @ SY953 @ SY956 )
| ! [SY949: $i] :
( ~ ( r3 @ SY956 @ SY949 )
| ( SY954 @ SY949 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(186,plain,
( ( ! [SY905: $i,SY906: $i > $o] :
( ~ ! [SY907: $i] :
( ~ ( r3 @ SY905 @ SY907 )
| ( SY906 @ SY907 ) )
| ! [SY908: $i] :
( ~ ( r3 @ SY905 @ SY908 )
| ! [SY901: $i] :
( ~ ( r3 @ SY908 @ SY901 )
| ( SY906 @ SY901 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(187,plain,
( ( ! [SY857: $i,SY858: $i > $o] :
( ~ ! [SY859: $i] :
( ~ ( r3 @ SY857 @ SY859 )
| ( SY858 @ SY859 ) )
| ! [SY860: $i] :
( ~ ( r4 @ SY857 @ SY860 )
| ! [SY853: $i] :
( ~ ( r3 @ SY860 @ SY853 )
| ( SY858 @ SY853 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(188,plain,
( ( ! [SY809: $i,SY810: $i > $o] :
( ~ ! [SY811: $i] :
( ~ ( r3 @ SY809 @ SY811 )
| ( SY810 @ SY811 ) )
| ! [SY812: $i] :
( ~ ( r5 @ SY809 @ SY812 )
| ! [SY805: $i] :
( ~ ( r3 @ SY812 @ SY805 )
| ( SY810 @ SY805 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(189,plain,
( ( ! [SY761: $i,SY762: $i > $o] :
( ~ ! [SY763: $i] :
( ~ ( r4 @ SY761 @ SY763 )
| ( SY762 @ SY763 ) )
| ! [SY764: $i] :
( ~ ( r1 @ SY761 @ SY764 )
| ! [SY757: $i] :
( ~ ( r4 @ SY764 @ SY757 )
| ( SY762 @ SY757 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(190,plain,
( ( ! [SY713: $i,SY714: $i > $o] :
( ~ ! [SY715: $i] :
( ~ ( r4 @ SY713 @ SY715 )
| ( SY714 @ SY715 ) )
| ! [SY716: $i] :
( ~ ( r2 @ SY713 @ SY716 )
| ! [SY709: $i] :
( ~ ( r4 @ SY716 @ SY709 )
| ( SY714 @ SY709 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(191,plain,
( ( ! [SY665: $i,SY666: $i > $o] :
( ~ ! [SY667: $i] :
( ~ ( r4 @ SY665 @ SY667 )
| ( SY666 @ SY667 ) )
| ! [SY668: $i] :
( ~ ( r3 @ SY665 @ SY668 )
| ! [SY661: $i] :
( ~ ( r4 @ SY668 @ SY661 )
| ( SY666 @ SY661 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(192,plain,
( ( ! [SY617: $i,SY618: $i > $o] :
( ~ ! [SY619: $i] :
( ~ ( r4 @ SY617 @ SY619 )
| ( SY618 @ SY619 ) )
| ! [SY620: $i] :
( ~ ( r4 @ SY617 @ SY620 )
| ! [SY613: $i] :
( ~ ( r4 @ SY620 @ SY613 )
| ( SY618 @ SY613 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(193,plain,
( ( ! [SY569: $i,SY570: $i > $o] :
( ~ ! [SY571: $i] :
( ~ ( r4 @ SY569 @ SY571 )
| ( SY570 @ SY571 ) )
| ! [SY572: $i] :
( ~ ( r5 @ SY569 @ SY572 )
| ! [SY565: $i] :
( ~ ( r4 @ SY572 @ SY565 )
| ( SY570 @ SY565 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(194,plain,
( ( ! [SY521: $i,SY522: $i > $o] :
( ~ ! [SY523: $i] :
( ~ ( r5 @ SY521 @ SY523 )
| ( SY522 @ SY523 ) )
| ! [SY524: $i] :
( ~ ( r1 @ SY521 @ SY524 )
| ! [SY517: $i] :
( ~ ( r5 @ SY524 @ SY517 )
| ( SY522 @ SY517 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(195,plain,
( ( ! [SY473: $i,SY474: $i > $o] :
( ~ ! [SY475: $i] :
( ~ ( r5 @ SY473 @ SY475 )
| ( SY474 @ SY475 ) )
| ! [SY476: $i] :
( ~ ( r2 @ SY473 @ SY476 )
| ! [SY469: $i] :
( ~ ( r5 @ SY476 @ SY469 )
| ( SY474 @ SY469 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(196,plain,
( ( ! [SY425: $i,SY426: $i > $o] :
( ~ ! [SY427: $i] :
( ~ ( r5 @ SY425 @ SY427 )
| ( SY426 @ SY427 ) )
| ! [SY428: $i] :
( ~ ( r3 @ SY425 @ SY428 )
| ! [SY421: $i] :
( ~ ( r5 @ SY428 @ SY421 )
| ( SY426 @ SY421 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(197,plain,
( ( ! [SY377: $i,SY378: $i > $o] :
( ~ ! [SY379: $i] :
( ~ ( r5 @ SY377 @ SY379 )
| ( SY378 @ SY379 ) )
| ! [SY380: $i] :
( ~ ( r4 @ SY377 @ SY380 )
| ! [SY373: $i] :
( ~ ( r5 @ SY380 @ SY373 )
| ( SY378 @ SY373 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(198,plain,
( ( ! [SY329: $i,SY330: $i > $o] :
( ~ ! [SY331: $i] :
( ~ ( r5 @ SY329 @ SY331 )
| ( SY330 @ SY331 ) )
| ! [SY332: $i] :
( ~ ( r5 @ SY329 @ SY332 )
| ! [SY325: $i] :
( ~ ( r5 @ SY332 @ SY325 )
| ( SY330 @ SY325 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(199,plain,
( ( ! [SY281: $i,SY282: $i > $o] :
( ~ ~ ! [SY283: $i] :
( ~ ( r1 @ SY281 @ SY283 )
| ( SY282 @ SY283 ) )
| ! [SY284: $i] :
( ~ ( r1 @ SY281 @ SY284 )
| ~ ! [SY277: $i] :
( ~ ( r1 @ SY284 @ SY277 )
| ( SY282 @ SY277 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(200,plain,
( ( ! [SY229: $i,SY230: $i > $o] :
( ~ ~ ! [SY231: $i] :
( ~ ( r2 @ SY229 @ SY231 )
| ( SY230 @ SY231 ) )
| ! [SY232: $i] :
( ~ ( r2 @ SY229 @ SY232 )
| ~ ! [SY225: $i] :
( ~ ( r2 @ SY232 @ SY225 )
| ( SY230 @ SY225 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(201,plain,
( ( ! [SY177: $i,SY178: $i > $o] :
( ~ ~ ! [SY179: $i] :
( ~ ( r3 @ SY177 @ SY179 )
| ( SY178 @ SY179 ) )
| ! [SY180: $i] :
( ~ ( r3 @ SY177 @ SY180 )
| ~ ! [SY173: $i] :
( ~ ( r3 @ SY180 @ SY173 )
| ( SY178 @ SY173 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(202,plain,
( ( ! [SY125: $i,SY126: $i > $o] :
( ~ ~ ! [SY127: $i] :
( ~ ( r4 @ SY125 @ SY127 )
| ( SY126 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( r4 @ SY125 @ SY128 )
| ~ ! [SY121: $i] :
( ~ ( r4 @ SY128 @ SY121 )
| ( SY126 @ SY121 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(203,plain,
( ( ! [SY73: $i,SY74: $i > $o] :
( ~ ~ ! [SY75: $i] :
( ~ ( r5 @ SY73 @ SY75 )
| ( SY74 @ SY75 ) )
| ! [SY76: $i] :
( ~ ( r5 @ SY73 @ SY76 )
| ~ ! [SY69: $i] :
( ~ ( r5 @ SY76 @ SY69 )
| ( SY74 @ SY69 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(204,plain,
( ( ! [SY2794: mu] :
~ ~ ! [SY2795: $i] :
( ~ ( r1 @ sK1_SY25 @ SY2795 )
| ~ ( good_in_maths @ SY2794 @ SY2795 ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(205,plain,
! [SV1: $i] :
( ( ! [SY2796: mu] :
( ~ ( maths_teacher @ SY2796 @ SV1 )
| ! [SY2797: $i] :
( ~ ( r4 @ SV1 @ SY2797 )
| ( good_in_maths @ SY2796 @ SY2797 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(206,plain,
! [SV2: $i] :
( ( ! [SY2798: mu,SY2799: $i] :
( ~ ( r5 @ SV2 @ SY2799 )
| ~ ! [SY2755: $i] :
( ~ ( r1 @ SY2799 @ SY2755 )
| ( mathematician @ SY2798 @ SY2755 ) )
| ! [SY2756: $i] :
( ~ ( r1 @ SY2799 @ SY2756 )
| ( good_in_maths @ SY2798 @ SY2756 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(207,plain,
! [SV3: $i] :
( ( ! [SY2802: mu,SY2803: $i] :
( ~ ( r5 @ SV3 @ SY2803 )
| ~ ! [SY2707: $i] :
( ~ ( r2 @ SY2803 @ SY2707 )
| ( mathematician @ SY2802 @ SY2707 ) )
| ! [SY2708: $i] :
( ~ ( r2 @ SY2803 @ SY2708 )
| ( good_in_maths @ SY2802 @ SY2708 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(208,plain,
! [SV4: $i] :
( ( ! [SY2806: mu,SY2807: $i] :
( ~ ( r5 @ SV4 @ SY2807 )
| ~ ! [SY2659: $i] :
( ~ ( r3 @ SY2807 @ SY2659 )
| ( mathematician @ SY2806 @ SY2659 ) )
| ! [SY2660: $i] :
( ~ ( r3 @ SY2807 @ SY2660 )
| ( good_in_maths @ SY2806 @ SY2660 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(209,plain,
! [SV5: $i] :
( ( ! [SY2810: mu,SY2811: $i] :
( ~ ( r5 @ SV5 @ SY2811 )
| ~ ! [SY2611: $i] :
( ~ ( r4 @ SY2811 @ SY2611 )
| ( mathematician @ SY2810 @ SY2611 ) )
| ! [SY2612: $i] :
( ~ ( r4 @ SY2811 @ SY2612 )
| ( good_in_maths @ SY2810 @ SY2612 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(210,plain,
! [SV6: $i] :
( ( ! [SY2814: mu,SY2815: $i] :
( ~ ( r5 @ SV6 @ SY2815 )
| ~ ! [SY2563: $i] :
( ~ ( r5 @ SY2815 @ SY2563 )
| ( mathematician @ SY2814 @ SY2563 ) )
| ! [SY2564: $i] :
( ~ ( r5 @ SY2815 @ SY2564 )
| ( good_in_maths @ SY2814 @ SY2564 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(211,plain,
! [SV7: $i] :
( ( ! [SY2818: mu,SY2819: $i] :
( ~ ( r3 @ SV7 @ SY2819 )
| ~ ( maths_student @ SY2818 @ SY2819 )
| ~ ! [SY2519: $i] :
( ~ ( r1 @ SY2819 @ SY2519 )
| ~ ( good_in_maths @ SY2818 @ SY2519 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(212,plain,
! [SV8: $i] :
( ( ! [SY2821: mu,SY2822: $i] :
( ~ ( r3 @ SV8 @ SY2822 )
| ~ ( maths_student @ SY2821 @ SY2822 )
| ~ ! [SY2479: $i] :
( ~ ( r2 @ SY2822 @ SY2479 )
| ~ ( good_in_maths @ SY2821 @ SY2479 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(213,plain,
! [SV9: $i] :
( ( ! [SY2824: mu,SY2825: $i] :
( ~ ( r3 @ SV9 @ SY2825 )
| ~ ( maths_student @ SY2824 @ SY2825 )
| ~ ! [SY2439: $i] :
( ~ ( r3 @ SY2825 @ SY2439 )
| ~ ( good_in_maths @ SY2824 @ SY2439 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(214,plain,
! [SV10: $i] :
( ( ! [SY2827: mu,SY2828: $i] :
( ~ ( r3 @ SV10 @ SY2828 )
| ~ ( maths_student @ SY2827 @ SY2828 )
| ~ ! [SY2399: $i] :
( ~ ( r4 @ SY2828 @ SY2399 )
| ~ ( good_in_maths @ SY2827 @ SY2399 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(215,plain,
! [SV11: $i] :
( ( ! [SY2830: mu,SY2831: $i] :
( ~ ( r3 @ SV11 @ SY2831 )
| ~ ( maths_student @ SY2830 @ SY2831 )
| ~ ! [SY2359: $i] :
( ~ ( r5 @ SY2831 @ SY2359 )
| ~ ( good_in_maths @ SY2830 @ SY2359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(216,plain,
! [SV12: $i] :
( ( ! [SY2833: mu,SY2834: $i] :
( ~ ( r3 @ SV12 @ SY2834 )
| ~ ( physics_student @ SY2833 @ SY2834 )
| ~ ! [SY2319: $i] :
( ~ ( r1 @ SY2834 @ SY2319 )
| ~ ( good_in_physics @ SY2833 @ SY2319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(217,plain,
! [SV13: $i] :
( ( ! [SY2836: mu,SY2837: $i] :
( ~ ( r3 @ SV13 @ SY2837 )
| ~ ( physics_student @ SY2836 @ SY2837 )
| ~ ! [SY2279: $i] :
( ~ ( r2 @ SY2837 @ SY2279 )
| ~ ( good_in_physics @ SY2836 @ SY2279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(218,plain,
! [SV14: $i] :
( ( ! [SY2839: mu,SY2840: $i] :
( ~ ( r3 @ SV14 @ SY2840 )
| ~ ( physics_student @ SY2839 @ SY2840 )
| ~ ! [SY2239: $i] :
( ~ ( r3 @ SY2840 @ SY2239 )
| ~ ( good_in_physics @ SY2839 @ SY2239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(219,plain,
! [SV15: $i] :
( ( ! [SY2842: mu,SY2843: $i] :
( ~ ( r3 @ SV15 @ SY2843 )
| ~ ( physics_student @ SY2842 @ SY2843 )
| ~ ! [SY2199: $i] :
( ~ ( r4 @ SY2843 @ SY2199 )
| ~ ( good_in_physics @ SY2842 @ SY2199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(220,plain,
! [SV16: $i] :
( ( ! [SY2845: mu,SY2846: $i] :
( ~ ( r3 @ SV16 @ SY2846 )
| ~ ( physics_student @ SY2845 @ SY2846 )
| ~ ! [SY2159: $i] :
( ~ ( r5 @ SY2846 @ SY2159 )
| ~ ( good_in_physics @ SY2845 @ SY2159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(221,plain,
! [SV17: $i] :
( ( ! [SY2848: mu,SY2849: $i] :
( ~ ( r2 @ SV17 @ SY2849 )
| ~ ( good_in_physics @ SY2848 @ SY2849 )
| ~ ! [SY2119: $i] :
( ~ ( r2 @ SY2849 @ SY2119 )
| ~ ( good_in_maths @ SY2848 @ SY2119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(222,plain,
! [SV18: $i] :
( ( maths_teacher @ john @ SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(223,plain,
! [SV19: $i] :
( ( ! [SY2851: $i] :
( ~ ( r2 @ SV19 @ SY2851 )
| ( mathematician @ tom @ SY2851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(224,plain,
! [SV20: $i] :
( ( ! [SY2852: $i] :
( ~ ( r5 @ SV20 @ SY2852 )
| ( maths_student @ peter @ SY2852 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(225,plain,
! [SV21: $i] :
( ( ! [SY2853: $i] :
( ~ ( r5 @ SV21 @ SY2853 )
| ( physics_student @ mike @ SY2853 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(226,plain,
! [SV22: $i] :
( ( ! [SY2854: $i > $o] :
( ~ ! [SY2855: $i] :
( ~ ( r1 @ SV22 @ SY2855 )
| ( SY2854 @ SY2855 ) )
| ~ ! [SY2856: $i] :
( ~ ( r1 @ SV22 @ SY2856 )
| ~ ( SY2854 @ SY2856 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(227,plain,
! [SV23: $i] :
( ( ! [SY2857: $i > $o] :
( ~ ! [SY2858: $i] :
( ~ ( r2 @ SV23 @ SY2858 )
| ( SY2857 @ SY2858 ) )
| ~ ! [SY2859: $i] :
( ~ ( r2 @ SV23 @ SY2859 )
| ~ ( SY2857 @ SY2859 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(228,plain,
! [SV24: $i] :
( ( ! [SY2860: $i > $o] :
( ~ ! [SY2861: $i] :
( ~ ( r3 @ SV24 @ SY2861 )
| ( SY2860 @ SY2861 ) )
| ~ ! [SY2862: $i] :
( ~ ( r3 @ SV24 @ SY2862 )
| ~ ( SY2860 @ SY2862 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(229,plain,
! [SV25: $i] :
( ( ! [SY2863: $i > $o] :
( ~ ! [SY2864: $i] :
( ~ ( r4 @ SV25 @ SY2864 )
| ( SY2863 @ SY2864 ) )
| ~ ! [SY2865: $i] :
( ~ ( r4 @ SV25 @ SY2865 )
| ~ ( SY2863 @ SY2865 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(230,plain,
! [SV26: $i] :
( ( ! [SY2866: $i > $o] :
( ~ ! [SY2867: $i] :
( ~ ( r5 @ SV26 @ SY2867 )
| ( SY2866 @ SY2867 ) )
| ~ ! [SY2868: $i] :
( ~ ( r5 @ SV26 @ SY2868 )
| ~ ( SY2866 @ SY2868 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(231,plain,
! [SV27: $i] :
( ( ! [SY2869: $i > $o] :
( ~ ! [SY2870: $i] :
( ~ ( r2 @ SV27 @ SY2870 )
| ( SY2869 @ SY2870 ) )
| ! [SY2871: $i] :
( ~ ( r1 @ SV27 @ SY2871 )
| ( SY2869 @ SY2871 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(232,plain,
! [SV28: $i] :
( ( ! [SY2872: $i > $o] :
( ~ ! [SY2873: $i] :
( ~ ( r3 @ SV28 @ SY2873 )
| ( SY2872 @ SY2873 ) )
| ! [SY2874: $i] :
( ~ ( r1 @ SV28 @ SY2874 )
| ( SY2872 @ SY2874 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(233,plain,
! [SV29: $i] :
( ( ! [SY2875: $i > $o] :
( ~ ! [SY2876: $i] :
( ~ ( r4 @ SV29 @ SY2876 )
| ( SY2875 @ SY2876 ) )
| ! [SY2877: $i] :
( ~ ( r1 @ SV29 @ SY2877 )
| ( SY2875 @ SY2877 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(234,plain,
! [SV30: $i] :
( ( ! [SY2878: $i > $o] :
( ~ ! [SY2879: $i] :
( ~ ( r5 @ SV30 @ SY2879 )
| ( SY2878 @ SY2879 ) )
| ! [SY2880: $i] :
( ~ ( r1 @ SV30 @ SY2880 )
| ( SY2878 @ SY2880 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(235,plain,
! [SV31: $i] :
( ( ! [SY2881: $i > $o] :
( ~ ! [SY2882: $i] :
( ~ ( r3 @ SV31 @ SY2882 )
| ( SY2881 @ SY2882 ) )
| ! [SY2883: $i] :
( ~ ( r2 @ SV31 @ SY2883 )
| ( SY2881 @ SY2883 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(236,plain,
! [SV32: $i] :
( ( ! [SY2884: $i > $o] :
( ~ ! [SY2885: $i] :
( ~ ( r4 @ SV32 @ SY2885 )
| ( SY2884 @ SY2885 ) )
| ! [SY2886: $i] :
( ~ ( r2 @ SV32 @ SY2886 )
| ( SY2884 @ SY2886 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(237,plain,
! [SV33: $i] :
( ( ! [SY2887: $i > $o] :
( ~ ! [SY2888: $i] :
( ~ ( r5 @ SV33 @ SY2888 )
| ( SY2887 @ SY2888 ) )
| ! [SY2889: $i] :
( ~ ( r2 @ SV33 @ SY2889 )
| ( SY2887 @ SY2889 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(238,plain,
! [SV34: $i] :
( ( ! [SY2890: $i > $o] :
( ~ ! [SY2891: $i] :
( ~ ( r4 @ SV34 @ SY2891 )
| ( SY2890 @ SY2891 ) )
| ! [SY2892: $i] :
( ~ ( r3 @ SV34 @ SY2892 )
| ( SY2890 @ SY2892 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(239,plain,
! [SV35: $i] :
( ( ! [SY2893: $i > $o] :
( ~ ! [SY2894: $i] :
( ~ ( r5 @ SV35 @ SY2894 )
| ( SY2893 @ SY2894 ) )
| ! [SY2895: $i] :
( ~ ( r3 @ SV35 @ SY2895 )
| ( SY2893 @ SY2895 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(240,plain,
! [SV36: $i] :
( ( ! [SY2896: $i > $o] :
( ~ ! [SY2897: $i] :
( ~ ( r5 @ SV36 @ SY2897 )
| ( SY2896 @ SY2897 ) )
| ! [SY2898: $i] :
( ~ ( r4 @ SV36 @ SY2898 )
| ( SY2896 @ SY2898 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(241,plain,
! [SV37: $i] :
( ( ! [SY2899: $i > $o] :
( ~ ! [SY2900: $i] :
( ~ ( r1 @ SV37 @ SY2900 )
| ( SY2899 @ SY2900 ) )
| ! [SY2901: $i] :
( ~ ( r1 @ SV37 @ SY2901 )
| ! [SY1477: $i] :
( ~ ( r1 @ SY2901 @ SY1477 )
| ( SY2899 @ SY1477 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(242,plain,
! [SV38: $i] :
( ( ! [SY2903: $i > $o] :
( ~ ! [SY2904: $i] :
( ~ ( r1 @ SV38 @ SY2904 )
| ( SY2903 @ SY2904 ) )
| ! [SY2905: $i] :
( ~ ( r2 @ SV38 @ SY2905 )
| ! [SY1429: $i] :
( ~ ( r1 @ SY2905 @ SY1429 )
| ( SY2903 @ SY1429 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(243,plain,
! [SV39: $i] :
( ( ! [SY2907: $i > $o] :
( ~ ! [SY2908: $i] :
( ~ ( r1 @ SV39 @ SY2908 )
| ( SY2907 @ SY2908 ) )
| ! [SY2909: $i] :
( ~ ( r3 @ SV39 @ SY2909 )
| ! [SY1381: $i] :
( ~ ( r1 @ SY2909 @ SY1381 )
| ( SY2907 @ SY1381 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(244,plain,
! [SV40: $i] :
( ( ! [SY2911: $i > $o] :
( ~ ! [SY2912: $i] :
( ~ ( r1 @ SV40 @ SY2912 )
| ( SY2911 @ SY2912 ) )
| ! [SY2913: $i] :
( ~ ( r4 @ SV40 @ SY2913 )
| ! [SY1333: $i] :
( ~ ( r1 @ SY2913 @ SY1333 )
| ( SY2911 @ SY1333 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(245,plain,
! [SV41: $i] :
( ( ! [SY2915: $i > $o] :
( ~ ! [SY2916: $i] :
( ~ ( r1 @ SV41 @ SY2916 )
| ( SY2915 @ SY2916 ) )
| ! [SY2917: $i] :
( ~ ( r5 @ SV41 @ SY2917 )
| ! [SY1285: $i] :
( ~ ( r1 @ SY2917 @ SY1285 )
| ( SY2915 @ SY1285 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(246,plain,
! [SV42: $i] :
( ( ! [SY2919: $i > $o] :
( ~ ! [SY2920: $i] :
( ~ ( r2 @ SV42 @ SY2920 )
| ( SY2919 @ SY2920 ) )
| ! [SY2921: $i] :
( ~ ( r1 @ SV42 @ SY2921 )
| ! [SY1237: $i] :
( ~ ( r2 @ SY2921 @ SY1237 )
| ( SY2919 @ SY1237 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(247,plain,
! [SV43: $i] :
( ( ! [SY2923: $i > $o] :
( ~ ! [SY2924: $i] :
( ~ ( r2 @ SV43 @ SY2924 )
| ( SY2923 @ SY2924 ) )
| ! [SY2925: $i] :
( ~ ( r2 @ SV43 @ SY2925 )
| ! [SY1189: $i] :
( ~ ( r2 @ SY2925 @ SY1189 )
| ( SY2923 @ SY1189 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(248,plain,
! [SV44: $i] :
( ( ! [SY2927: $i > $o] :
( ~ ! [SY2928: $i] :
( ~ ( r2 @ SV44 @ SY2928 )
| ( SY2927 @ SY2928 ) )
| ! [SY2929: $i] :
( ~ ( r3 @ SV44 @ SY2929 )
| ! [SY1141: $i] :
( ~ ( r2 @ SY2929 @ SY1141 )
| ( SY2927 @ SY1141 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(249,plain,
! [SV45: $i] :
( ( ! [SY2931: $i > $o] :
( ~ ! [SY2932: $i] :
( ~ ( r2 @ SV45 @ SY2932 )
| ( SY2931 @ SY2932 ) )
| ! [SY2933: $i] :
( ~ ( r4 @ SV45 @ SY2933 )
| ! [SY1093: $i] :
( ~ ( r2 @ SY2933 @ SY1093 )
| ( SY2931 @ SY1093 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(250,plain,
! [SV46: $i] :
( ( ! [SY2935: $i > $o] :
( ~ ! [SY2936: $i] :
( ~ ( r2 @ SV46 @ SY2936 )
| ( SY2935 @ SY2936 ) )
| ! [SY2937: $i] :
( ~ ( r5 @ SV46 @ SY2937 )
| ! [SY1045: $i] :
( ~ ( r2 @ SY2937 @ SY1045 )
| ( SY2935 @ SY1045 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(251,plain,
! [SV47: $i] :
( ( ! [SY2939: $i > $o] :
( ~ ! [SY2940: $i] :
( ~ ( r3 @ SV47 @ SY2940 )
| ( SY2939 @ SY2940 ) )
| ! [SY2941: $i] :
( ~ ( r1 @ SV47 @ SY2941 )
| ! [SY997: $i] :
( ~ ( r3 @ SY2941 @ SY997 )
| ( SY2939 @ SY997 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(252,plain,
! [SV48: $i] :
( ( ! [SY2943: $i > $o] :
( ~ ! [SY2944: $i] :
( ~ ( r3 @ SV48 @ SY2944 )
| ( SY2943 @ SY2944 ) )
| ! [SY2945: $i] :
( ~ ( r2 @ SV48 @ SY2945 )
| ! [SY949: $i] :
( ~ ( r3 @ SY2945 @ SY949 )
| ( SY2943 @ SY949 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(253,plain,
! [SV49: $i] :
( ( ! [SY2947: $i > $o] :
( ~ ! [SY2948: $i] :
( ~ ( r3 @ SV49 @ SY2948 )
| ( SY2947 @ SY2948 ) )
| ! [SY2949: $i] :
( ~ ( r3 @ SV49 @ SY2949 )
| ! [SY901: $i] :
( ~ ( r3 @ SY2949 @ SY901 )
| ( SY2947 @ SY901 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(254,plain,
! [SV50: $i] :
( ( ! [SY2951: $i > $o] :
( ~ ! [SY2952: $i] :
( ~ ( r3 @ SV50 @ SY2952 )
| ( SY2951 @ SY2952 ) )
| ! [SY2953: $i] :
( ~ ( r4 @ SV50 @ SY2953 )
| ! [SY853: $i] :
( ~ ( r3 @ SY2953 @ SY853 )
| ( SY2951 @ SY853 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(255,plain,
! [SV51: $i] :
( ( ! [SY2955: $i > $o] :
( ~ ! [SY2956: $i] :
( ~ ( r3 @ SV51 @ SY2956 )
| ( SY2955 @ SY2956 ) )
| ! [SY2957: $i] :
( ~ ( r5 @ SV51 @ SY2957 )
| ! [SY805: $i] :
( ~ ( r3 @ SY2957 @ SY805 )
| ( SY2955 @ SY805 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(256,plain,
! [SV52: $i] :
( ( ! [SY2959: $i > $o] :
( ~ ! [SY2960: $i] :
( ~ ( r4 @ SV52 @ SY2960 )
| ( SY2959 @ SY2960 ) )
| ! [SY2961: $i] :
( ~ ( r1 @ SV52 @ SY2961 )
| ! [SY757: $i] :
( ~ ( r4 @ SY2961 @ SY757 )
| ( SY2959 @ SY757 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(257,plain,
! [SV53: $i] :
( ( ! [SY2963: $i > $o] :
( ~ ! [SY2964: $i] :
( ~ ( r4 @ SV53 @ SY2964 )
| ( SY2963 @ SY2964 ) )
| ! [SY2965: $i] :
( ~ ( r2 @ SV53 @ SY2965 )
| ! [SY709: $i] :
( ~ ( r4 @ SY2965 @ SY709 )
| ( SY2963 @ SY709 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(258,plain,
! [SV54: $i] :
( ( ! [SY2967: $i > $o] :
( ~ ! [SY2968: $i] :
( ~ ( r4 @ SV54 @ SY2968 )
| ( SY2967 @ SY2968 ) )
| ! [SY2969: $i] :
( ~ ( r3 @ SV54 @ SY2969 )
| ! [SY661: $i] :
( ~ ( r4 @ SY2969 @ SY661 )
| ( SY2967 @ SY661 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(259,plain,
! [SV55: $i] :
( ( ! [SY2971: $i > $o] :
( ~ ! [SY2972: $i] :
( ~ ( r4 @ SV55 @ SY2972 )
| ( SY2971 @ SY2972 ) )
| ! [SY2973: $i] :
( ~ ( r4 @ SV55 @ SY2973 )
| ! [SY613: $i] :
( ~ ( r4 @ SY2973 @ SY613 )
| ( SY2971 @ SY613 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(260,plain,
! [SV56: $i] :
( ( ! [SY2975: $i > $o] :
( ~ ! [SY2976: $i] :
( ~ ( r4 @ SV56 @ SY2976 )
| ( SY2975 @ SY2976 ) )
| ! [SY2977: $i] :
( ~ ( r5 @ SV56 @ SY2977 )
| ! [SY565: $i] :
( ~ ( r4 @ SY2977 @ SY565 )
| ( SY2975 @ SY565 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(261,plain,
! [SV57: $i] :
( ( ! [SY2979: $i > $o] :
( ~ ! [SY2980: $i] :
( ~ ( r5 @ SV57 @ SY2980 )
| ( SY2979 @ SY2980 ) )
| ! [SY2981: $i] :
( ~ ( r1 @ SV57 @ SY2981 )
| ! [SY517: $i] :
( ~ ( r5 @ SY2981 @ SY517 )
| ( SY2979 @ SY517 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(262,plain,
! [SV58: $i] :
( ( ! [SY2983: $i > $o] :
( ~ ! [SY2984: $i] :
( ~ ( r5 @ SV58 @ SY2984 )
| ( SY2983 @ SY2984 ) )
| ! [SY2985: $i] :
( ~ ( r2 @ SV58 @ SY2985 )
| ! [SY469: $i] :
( ~ ( r5 @ SY2985 @ SY469 )
| ( SY2983 @ SY469 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(263,plain,
! [SV59: $i] :
( ( ! [SY2987: $i > $o] :
( ~ ! [SY2988: $i] :
( ~ ( r5 @ SV59 @ SY2988 )
| ( SY2987 @ SY2988 ) )
| ! [SY2989: $i] :
( ~ ( r3 @ SV59 @ SY2989 )
| ! [SY421: $i] :
( ~ ( r5 @ SY2989 @ SY421 )
| ( SY2987 @ SY421 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(264,plain,
! [SV60: $i] :
( ( ! [SY2991: $i > $o] :
( ~ ! [SY2992: $i] :
( ~ ( r5 @ SV60 @ SY2992 )
| ( SY2991 @ SY2992 ) )
| ! [SY2993: $i] :
( ~ ( r4 @ SV60 @ SY2993 )
| ! [SY373: $i] :
( ~ ( r5 @ SY2993 @ SY373 )
| ( SY2991 @ SY373 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(265,plain,
! [SV61: $i] :
( ( ! [SY2995: $i > $o] :
( ~ ! [SY2996: $i] :
( ~ ( r5 @ SV61 @ SY2996 )
| ( SY2995 @ SY2996 ) )
| ! [SY2997: $i] :
( ~ ( r5 @ SV61 @ SY2997 )
| ! [SY325: $i] :
( ~ ( r5 @ SY2997 @ SY325 )
| ( SY2995 @ SY325 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(266,plain,
! [SV62: $i] :
( ( ! [SY2999: $i > $o] :
( ~ ~ ! [SY3000: $i] :
( ~ ( r1 @ SV62 @ SY3000 )
| ( SY2999 @ SY3000 ) )
| ! [SY3001: $i] :
( ~ ( r1 @ SV62 @ SY3001 )
| ~ ! [SY277: $i] :
( ~ ( r1 @ SY3001 @ SY277 )
| ( SY2999 @ SY277 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(267,plain,
! [SV63: $i] :
( ( ! [SY3003: $i > $o] :
( ~ ~ ! [SY3004: $i] :
( ~ ( r2 @ SV63 @ SY3004 )
| ( SY3003 @ SY3004 ) )
| ! [SY3005: $i] :
( ~ ( r2 @ SV63 @ SY3005 )
| ~ ! [SY225: $i] :
( ~ ( r2 @ SY3005 @ SY225 )
| ( SY3003 @ SY225 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(268,plain,
! [SV64: $i] :
( ( ! [SY3007: $i > $o] :
( ~ ~ ! [SY3008: $i] :
( ~ ( r3 @ SV64 @ SY3008 )
| ( SY3007 @ SY3008 ) )
| ! [SY3009: $i] :
( ~ ( r3 @ SV64 @ SY3009 )
| ~ ! [SY173: $i] :
( ~ ( r3 @ SY3009 @ SY173 )
| ( SY3007 @ SY173 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(269,plain,
! [SV65: $i] :
( ( ! [SY3011: $i > $o] :
( ~ ~ ! [SY3012: $i] :
( ~ ( r4 @ SV65 @ SY3012 )
| ( SY3011 @ SY3012 ) )
| ! [SY3013: $i] :
( ~ ( r4 @ SV65 @ SY3013 )
| ~ ! [SY121: $i] :
( ~ ( r4 @ SY3013 @ SY121 )
| ( SY3011 @ SY121 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(270,plain,
! [SV66: $i] :
( ( ! [SY3015: $i > $o] :
( ~ ~ ! [SY3016: $i] :
( ~ ( r5 @ SV66 @ SY3016 )
| ( SY3015 @ SY3016 ) )
| ! [SY3017: $i] :
( ~ ( r5 @ SV66 @ SY3017 )
| ~ ! [SY69: $i] :
( ~ ( r5 @ SY3017 @ SY69 )
| ( SY3015 @ SY69 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(271,plain,
! [SV67: mu] :
( ( ~ ~ ! [SY3019: $i] :
( ~ ( r1 @ sK1_SY25 @ SY3019 )
| ~ ( good_in_maths @ SV67 @ SY3019 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(272,plain,
! [SV1: $i,SV68: mu] :
( ( ~ ( maths_teacher @ SV68 @ SV1 )
| ! [SY3020: $i] :
( ~ ( r4 @ SV1 @ SY3020 )
| ( good_in_maths @ SV68 @ SY3020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(273,plain,
! [SV69: mu,SV2: $i] :
( ( ! [SY3021: $i] :
( ~ ( r5 @ SV2 @ SY3021 )
| ~ ! [SY3022: $i] :
( ~ ( r1 @ SY3021 @ SY3022 )
| ( mathematician @ SV69 @ SY3022 ) )
| ! [SY3023: $i] :
( ~ ( r1 @ SY3021 @ SY3023 )
| ( good_in_maths @ SV69 @ SY3023 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(274,plain,
! [SV70: mu,SV3: $i] :
( ( ! [SY3024: $i] :
( ~ ( r5 @ SV3 @ SY3024 )
| ~ ! [SY3025: $i] :
( ~ ( r2 @ SY3024 @ SY3025 )
| ( mathematician @ SV70 @ SY3025 ) )
| ! [SY3026: $i] :
( ~ ( r2 @ SY3024 @ SY3026 )
| ( good_in_maths @ SV70 @ SY3026 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(275,plain,
! [SV71: mu,SV4: $i] :
( ( ! [SY3027: $i] :
( ~ ( r5 @ SV4 @ SY3027 )
| ~ ! [SY3028: $i] :
( ~ ( r3 @ SY3027 @ SY3028 )
| ( mathematician @ SV71 @ SY3028 ) )
| ! [SY3029: $i] :
( ~ ( r3 @ SY3027 @ SY3029 )
| ( good_in_maths @ SV71 @ SY3029 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(276,plain,
! [SV72: mu,SV5: $i] :
( ( ! [SY3030: $i] :
( ~ ( r5 @ SV5 @ SY3030 )
| ~ ! [SY3031: $i] :
( ~ ( r4 @ SY3030 @ SY3031 )
| ( mathematician @ SV72 @ SY3031 ) )
| ! [SY3032: $i] :
( ~ ( r4 @ SY3030 @ SY3032 )
| ( good_in_maths @ SV72 @ SY3032 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(277,plain,
! [SV73: mu,SV6: $i] :
( ( ! [SY3033: $i] :
( ~ ( r5 @ SV6 @ SY3033 )
| ~ ! [SY3034: $i] :
( ~ ( r5 @ SY3033 @ SY3034 )
| ( mathematician @ SV73 @ SY3034 ) )
| ! [SY3035: $i] :
( ~ ( r5 @ SY3033 @ SY3035 )
| ( good_in_maths @ SV73 @ SY3035 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(278,plain,
! [SV74: mu,SV7: $i] :
( ( ! [SY3036: $i] :
( ~ ( r3 @ SV7 @ SY3036 )
| ~ ( maths_student @ SV74 @ SY3036 )
| ~ ! [SY3037: $i] :
( ~ ( r1 @ SY3036 @ SY3037 )
| ~ ( good_in_maths @ SV74 @ SY3037 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(279,plain,
! [SV75: mu,SV8: $i] :
( ( ! [SY3038: $i] :
( ~ ( r3 @ SV8 @ SY3038 )
| ~ ( maths_student @ SV75 @ SY3038 )
| ~ ! [SY3039: $i] :
( ~ ( r2 @ SY3038 @ SY3039 )
| ~ ( good_in_maths @ SV75 @ SY3039 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(280,plain,
! [SV76: mu,SV9: $i] :
( ( ! [SY3040: $i] :
( ~ ( r3 @ SV9 @ SY3040 )
| ~ ( maths_student @ SV76 @ SY3040 )
| ~ ! [SY3041: $i] :
( ~ ( r3 @ SY3040 @ SY3041 )
| ~ ( good_in_maths @ SV76 @ SY3041 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(281,plain,
! [SV77: mu,SV10: $i] :
( ( ! [SY3042: $i] :
( ~ ( r3 @ SV10 @ SY3042 )
| ~ ( maths_student @ SV77 @ SY3042 )
| ~ ! [SY3043: $i] :
( ~ ( r4 @ SY3042 @ SY3043 )
| ~ ( good_in_maths @ SV77 @ SY3043 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(282,plain,
! [SV78: mu,SV11: $i] :
( ( ! [SY3044: $i] :
( ~ ( r3 @ SV11 @ SY3044 )
| ~ ( maths_student @ SV78 @ SY3044 )
| ~ ! [SY3045: $i] :
( ~ ( r5 @ SY3044 @ SY3045 )
| ~ ( good_in_maths @ SV78 @ SY3045 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(283,plain,
! [SV79: mu,SV12: $i] :
( ( ! [SY3046: $i] :
( ~ ( r3 @ SV12 @ SY3046 )
| ~ ( physics_student @ SV79 @ SY3046 )
| ~ ! [SY3047: $i] :
( ~ ( r1 @ SY3046 @ SY3047 )
| ~ ( good_in_physics @ SV79 @ SY3047 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(284,plain,
! [SV80: mu,SV13: $i] :
( ( ! [SY3048: $i] :
( ~ ( r3 @ SV13 @ SY3048 )
| ~ ( physics_student @ SV80 @ SY3048 )
| ~ ! [SY3049: $i] :
( ~ ( r2 @ SY3048 @ SY3049 )
| ~ ( good_in_physics @ SV80 @ SY3049 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(285,plain,
! [SV81: mu,SV14: $i] :
( ( ! [SY3050: $i] :
( ~ ( r3 @ SV14 @ SY3050 )
| ~ ( physics_student @ SV81 @ SY3050 )
| ~ ! [SY3051: $i] :
( ~ ( r3 @ SY3050 @ SY3051 )
| ~ ( good_in_physics @ SV81 @ SY3051 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(286,plain,
! [SV82: mu,SV15: $i] :
( ( ! [SY3052: $i] :
( ~ ( r3 @ SV15 @ SY3052 )
| ~ ( physics_student @ SV82 @ SY3052 )
| ~ ! [SY3053: $i] :
( ~ ( r4 @ SY3052 @ SY3053 )
| ~ ( good_in_physics @ SV82 @ SY3053 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(287,plain,
! [SV83: mu,SV16: $i] :
( ( ! [SY3054: $i] :
( ~ ( r3 @ SV16 @ SY3054 )
| ~ ( physics_student @ SV83 @ SY3054 )
| ~ ! [SY3055: $i] :
( ~ ( r5 @ SY3054 @ SY3055 )
| ~ ( good_in_physics @ SV83 @ SY3055 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(288,plain,
! [SV84: mu,SV17: $i] :
( ( ! [SY3056: $i] :
( ~ ( r2 @ SV17 @ SY3056 )
| ~ ( good_in_physics @ SV84 @ SY3056 )
| ~ ! [SY3057: $i] :
( ~ ( r2 @ SY3056 @ SY3057 )
| ~ ( good_in_maths @ SV84 @ SY3057 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(289,plain,
! [SV85: $i,SV19: $i] :
( ( ~ ( r2 @ SV19 @ SV85 )
| ( mathematician @ tom @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(290,plain,
! [SV86: $i,SV20: $i] :
( ( ~ ( r5 @ SV20 @ SV86 )
| ( maths_student @ peter @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(291,plain,
! [SV87: $i,SV21: $i] :
( ( ~ ( r5 @ SV21 @ SV87 )
| ( physics_student @ mike @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(292,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ~ ! [SY3058: $i] :
( ~ ( r1 @ SV22 @ SY3058 )
| ( SV88 @ SY3058 ) )
| ~ ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(293,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ~ ! [SY3060: $i] :
( ~ ( r2 @ SV23 @ SY3060 )
| ( SV89 @ SY3060 ) )
| ~ ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(294,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ~ ! [SY3062: $i] :
( ~ ( r3 @ SV24 @ SY3062 )
| ( SV90 @ SY3062 ) )
| ~ ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(295,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ~ ! [SY3064: $i] :
( ~ ( r4 @ SV25 @ SY3064 )
| ( SV91 @ SY3064 ) )
| ~ ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(296,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ~ ! [SY3066: $i] :
( ~ ( r5 @ SV26 @ SY3066 )
| ( SV92 @ SY3066 ) )
| ~ ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(297,plain,
! [SV93: $i > $o,SV27: $i] :
( ( ~ ! [SY3068: $i] :
( ~ ( r2 @ SV27 @ SY3068 )
| ( SV93 @ SY3068 ) )
| ! [SY3069: $i] :
( ~ ( r1 @ SV27 @ SY3069 )
| ( SV93 @ SY3069 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(298,plain,
! [SV94: $i > $o,SV28: $i] :
( ( ~ ! [SY3070: $i] :
( ~ ( r3 @ SV28 @ SY3070 )
| ( SV94 @ SY3070 ) )
| ! [SY3071: $i] :
( ~ ( r1 @ SV28 @ SY3071 )
| ( SV94 @ SY3071 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(299,plain,
! [SV95: $i > $o,SV29: $i] :
( ( ~ ! [SY3072: $i] :
( ~ ( r4 @ SV29 @ SY3072 )
| ( SV95 @ SY3072 ) )
| ! [SY3073: $i] :
( ~ ( r1 @ SV29 @ SY3073 )
| ( SV95 @ SY3073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(300,plain,
! [SV96: $i > $o,SV30: $i] :
( ( ~ ! [SY3074: $i] :
( ~ ( r5 @ SV30 @ SY3074 )
| ( SV96 @ SY3074 ) )
| ! [SY3075: $i] :
( ~ ( r1 @ SV30 @ SY3075 )
| ( SV96 @ SY3075 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(301,plain,
! [SV97: $i > $o,SV31: $i] :
( ( ~ ! [SY3076: $i] :
( ~ ( r3 @ SV31 @ SY3076 )
| ( SV97 @ SY3076 ) )
| ! [SY3077: $i] :
( ~ ( r2 @ SV31 @ SY3077 )
| ( SV97 @ SY3077 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(302,plain,
! [SV98: $i > $o,SV32: $i] :
( ( ~ ! [SY3078: $i] :
( ~ ( r4 @ SV32 @ SY3078 )
| ( SV98 @ SY3078 ) )
| ! [SY3079: $i] :
( ~ ( r2 @ SV32 @ SY3079 )
| ( SV98 @ SY3079 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(303,plain,
! [SV99: $i > $o,SV33: $i] :
( ( ~ ! [SY3080: $i] :
( ~ ( r5 @ SV33 @ SY3080 )
| ( SV99 @ SY3080 ) )
| ! [SY3081: $i] :
( ~ ( r2 @ SV33 @ SY3081 )
| ( SV99 @ SY3081 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(304,plain,
! [SV100: $i > $o,SV34: $i] :
( ( ~ ! [SY3082: $i] :
( ~ ( r4 @ SV34 @ SY3082 )
| ( SV100 @ SY3082 ) )
| ! [SY3083: $i] :
( ~ ( r3 @ SV34 @ SY3083 )
| ( SV100 @ SY3083 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(305,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ~ ! [SY3084: $i] :
( ~ ( r5 @ SV35 @ SY3084 )
| ( SV101 @ SY3084 ) )
| ! [SY3085: $i] :
( ~ ( r3 @ SV35 @ SY3085 )
| ( SV101 @ SY3085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(306,plain,
! [SV102: $i > $o,SV36: $i] :
( ( ~ ! [SY3086: $i] :
( ~ ( r5 @ SV36 @ SY3086 )
| ( SV102 @ SY3086 ) )
| ! [SY3087: $i] :
( ~ ( r4 @ SV36 @ SY3087 )
| ( SV102 @ SY3087 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(307,plain,
! [SV103: $i > $o,SV37: $i] :
( ( ~ ! [SY3088: $i] :
( ~ ( r1 @ SV37 @ SY3088 )
| ( SV103 @ SY3088 ) )
| ! [SY3089: $i] :
( ~ ( r1 @ SV37 @ SY3089 )
| ! [SY3090: $i] :
( ~ ( r1 @ SY3089 @ SY3090 )
| ( SV103 @ SY3090 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(308,plain,
! [SV104: $i > $o,SV38: $i] :
( ( ~ ! [SY3091: $i] :
( ~ ( r1 @ SV38 @ SY3091 )
| ( SV104 @ SY3091 ) )
| ! [SY3092: $i] :
( ~ ( r2 @ SV38 @ SY3092 )
| ! [SY3093: $i] :
( ~ ( r1 @ SY3092 @ SY3093 )
| ( SV104 @ SY3093 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(309,plain,
! [SV105: $i > $o,SV39: $i] :
( ( ~ ! [SY3094: $i] :
( ~ ( r1 @ SV39 @ SY3094 )
| ( SV105 @ SY3094 ) )
| ! [SY3095: $i] :
( ~ ( r3 @ SV39 @ SY3095 )
| ! [SY3096: $i] :
( ~ ( r1 @ SY3095 @ SY3096 )
| ( SV105 @ SY3096 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(310,plain,
! [SV106: $i > $o,SV40: $i] :
( ( ~ ! [SY3097: $i] :
( ~ ( r1 @ SV40 @ SY3097 )
| ( SV106 @ SY3097 ) )
| ! [SY3098: $i] :
( ~ ( r4 @ SV40 @ SY3098 )
| ! [SY3099: $i] :
( ~ ( r1 @ SY3098 @ SY3099 )
| ( SV106 @ SY3099 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(311,plain,
! [SV107: $i > $o,SV41: $i] :
( ( ~ ! [SY3100: $i] :
( ~ ( r1 @ SV41 @ SY3100 )
| ( SV107 @ SY3100 ) )
| ! [SY3101: $i] :
( ~ ( r5 @ SV41 @ SY3101 )
| ! [SY3102: $i] :
( ~ ( r1 @ SY3101 @ SY3102 )
| ( SV107 @ SY3102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(312,plain,
! [SV108: $i > $o,SV42: $i] :
( ( ~ ! [SY3103: $i] :
( ~ ( r2 @ SV42 @ SY3103 )
| ( SV108 @ SY3103 ) )
| ! [SY3104: $i] :
( ~ ( r1 @ SV42 @ SY3104 )
| ! [SY3105: $i] :
( ~ ( r2 @ SY3104 @ SY3105 )
| ( SV108 @ SY3105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(313,plain,
! [SV109: $i > $o,SV43: $i] :
( ( ~ ! [SY3106: $i] :
( ~ ( r2 @ SV43 @ SY3106 )
| ( SV109 @ SY3106 ) )
| ! [SY3107: $i] :
( ~ ( r2 @ SV43 @ SY3107 )
| ! [SY3108: $i] :
( ~ ( r2 @ SY3107 @ SY3108 )
| ( SV109 @ SY3108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(314,plain,
! [SV110: $i > $o,SV44: $i] :
( ( ~ ! [SY3109: $i] :
( ~ ( r2 @ SV44 @ SY3109 )
| ( SV110 @ SY3109 ) )
| ! [SY3110: $i] :
( ~ ( r3 @ SV44 @ SY3110 )
| ! [SY3111: $i] :
( ~ ( r2 @ SY3110 @ SY3111 )
| ( SV110 @ SY3111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(315,plain,
! [SV111: $i > $o,SV45: $i] :
( ( ~ ! [SY3112: $i] :
( ~ ( r2 @ SV45 @ SY3112 )
| ( SV111 @ SY3112 ) )
| ! [SY3113: $i] :
( ~ ( r4 @ SV45 @ SY3113 )
| ! [SY3114: $i] :
( ~ ( r2 @ SY3113 @ SY3114 )
| ( SV111 @ SY3114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(316,plain,
! [SV112: $i > $o,SV46: $i] :
( ( ~ ! [SY3115: $i] :
( ~ ( r2 @ SV46 @ SY3115 )
| ( SV112 @ SY3115 ) )
| ! [SY3116: $i] :
( ~ ( r5 @ SV46 @ SY3116 )
| ! [SY3117: $i] :
( ~ ( r2 @ SY3116 @ SY3117 )
| ( SV112 @ SY3117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(317,plain,
! [SV113: $i > $o,SV47: $i] :
( ( ~ ! [SY3118: $i] :
( ~ ( r3 @ SV47 @ SY3118 )
| ( SV113 @ SY3118 ) )
| ! [SY3119: $i] :
( ~ ( r1 @ SV47 @ SY3119 )
| ! [SY3120: $i] :
( ~ ( r3 @ SY3119 @ SY3120 )
| ( SV113 @ SY3120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(318,plain,
! [SV114: $i > $o,SV48: $i] :
( ( ~ ! [SY3121: $i] :
( ~ ( r3 @ SV48 @ SY3121 )
| ( SV114 @ SY3121 ) )
| ! [SY3122: $i] :
( ~ ( r2 @ SV48 @ SY3122 )
| ! [SY3123: $i] :
( ~ ( r3 @ SY3122 @ SY3123 )
| ( SV114 @ SY3123 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(319,plain,
! [SV115: $i > $o,SV49: $i] :
( ( ~ ! [SY3124: $i] :
( ~ ( r3 @ SV49 @ SY3124 )
| ( SV115 @ SY3124 ) )
| ! [SY3125: $i] :
( ~ ( r3 @ SV49 @ SY3125 )
| ! [SY3126: $i] :
( ~ ( r3 @ SY3125 @ SY3126 )
| ( SV115 @ SY3126 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(320,plain,
! [SV116: $i > $o,SV50: $i] :
( ( ~ ! [SY3127: $i] :
( ~ ( r3 @ SV50 @ SY3127 )
| ( SV116 @ SY3127 ) )
| ! [SY3128: $i] :
( ~ ( r4 @ SV50 @ SY3128 )
| ! [SY3129: $i] :
( ~ ( r3 @ SY3128 @ SY3129 )
| ( SV116 @ SY3129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(321,plain,
! [SV117: $i > $o,SV51: $i] :
( ( ~ ! [SY3130: $i] :
( ~ ( r3 @ SV51 @ SY3130 )
| ( SV117 @ SY3130 ) )
| ! [SY3131: $i] :
( ~ ( r5 @ SV51 @ SY3131 )
| ! [SY3132: $i] :
( ~ ( r3 @ SY3131 @ SY3132 )
| ( SV117 @ SY3132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(322,plain,
! [SV118: $i > $o,SV52: $i] :
( ( ~ ! [SY3133: $i] :
( ~ ( r4 @ SV52 @ SY3133 )
| ( SV118 @ SY3133 ) )
| ! [SY3134: $i] :
( ~ ( r1 @ SV52 @ SY3134 )
| ! [SY3135: $i] :
( ~ ( r4 @ SY3134 @ SY3135 )
| ( SV118 @ SY3135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(323,plain,
! [SV119: $i > $o,SV53: $i] :
( ( ~ ! [SY3136: $i] :
( ~ ( r4 @ SV53 @ SY3136 )
| ( SV119 @ SY3136 ) )
| ! [SY3137: $i] :
( ~ ( r2 @ SV53 @ SY3137 )
| ! [SY3138: $i] :
( ~ ( r4 @ SY3137 @ SY3138 )
| ( SV119 @ SY3138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(324,plain,
! [SV120: $i > $o,SV54: $i] :
( ( ~ ! [SY3139: $i] :
( ~ ( r4 @ SV54 @ SY3139 )
| ( SV120 @ SY3139 ) )
| ! [SY3140: $i] :
( ~ ( r3 @ SV54 @ SY3140 )
| ! [SY3141: $i] :
( ~ ( r4 @ SY3140 @ SY3141 )
| ( SV120 @ SY3141 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(325,plain,
! [SV121: $i > $o,SV55: $i] :
( ( ~ ! [SY3142: $i] :
( ~ ( r4 @ SV55 @ SY3142 )
| ( SV121 @ SY3142 ) )
| ! [SY3143: $i] :
( ~ ( r4 @ SV55 @ SY3143 )
| ! [SY3144: $i] :
( ~ ( r4 @ SY3143 @ SY3144 )
| ( SV121 @ SY3144 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(326,plain,
! [SV122: $i > $o,SV56: $i] :
( ( ~ ! [SY3145: $i] :
( ~ ( r4 @ SV56 @ SY3145 )
| ( SV122 @ SY3145 ) )
| ! [SY3146: $i] :
( ~ ( r5 @ SV56 @ SY3146 )
| ! [SY3147: $i] :
( ~ ( r4 @ SY3146 @ SY3147 )
| ( SV122 @ SY3147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(327,plain,
! [SV123: $i > $o,SV57: $i] :
( ( ~ ! [SY3148: $i] :
( ~ ( r5 @ SV57 @ SY3148 )
| ( SV123 @ SY3148 ) )
| ! [SY3149: $i] :
( ~ ( r1 @ SV57 @ SY3149 )
| ! [SY3150: $i] :
( ~ ( r5 @ SY3149 @ SY3150 )
| ( SV123 @ SY3150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(328,plain,
! [SV124: $i > $o,SV58: $i] :
( ( ~ ! [SY3151: $i] :
( ~ ( r5 @ SV58 @ SY3151 )
| ( SV124 @ SY3151 ) )
| ! [SY3152: $i] :
( ~ ( r2 @ SV58 @ SY3152 )
| ! [SY3153: $i] :
( ~ ( r5 @ SY3152 @ SY3153 )
| ( SV124 @ SY3153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(329,plain,
! [SV125: $i > $o,SV59: $i] :
( ( ~ ! [SY3154: $i] :
( ~ ( r5 @ SV59 @ SY3154 )
| ( SV125 @ SY3154 ) )
| ! [SY3155: $i] :
( ~ ( r3 @ SV59 @ SY3155 )
| ! [SY3156: $i] :
( ~ ( r5 @ SY3155 @ SY3156 )
| ( SV125 @ SY3156 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(330,plain,
! [SV126: $i > $o,SV60: $i] :
( ( ~ ! [SY3157: $i] :
( ~ ( r5 @ SV60 @ SY3157 )
| ( SV126 @ SY3157 ) )
| ! [SY3158: $i] :
( ~ ( r4 @ SV60 @ SY3158 )
| ! [SY3159: $i] :
( ~ ( r5 @ SY3158 @ SY3159 )
| ( SV126 @ SY3159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(331,plain,
! [SV127: $i > $o,SV61: $i] :
( ( ~ ! [SY3160: $i] :
( ~ ( r5 @ SV61 @ SY3160 )
| ( SV127 @ SY3160 ) )
| ! [SY3161: $i] :
( ~ ( r5 @ SV61 @ SY3161 )
| ! [SY3162: $i] :
( ~ ( r5 @ SY3161 @ SY3162 )
| ( SV127 @ SY3162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(332,plain,
! [SV128: $i > $o,SV62: $i] :
( ( ~ ~ ! [SY3163: $i] :
( ~ ( r1 @ SV62 @ SY3163 )
| ( SV128 @ SY3163 ) )
| ! [SY3164: $i] :
( ~ ( r1 @ SV62 @ SY3164 )
| ~ ! [SY3165: $i] :
( ~ ( r1 @ SY3164 @ SY3165 )
| ( SV128 @ SY3165 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(333,plain,
! [SV129: $i > $o,SV63: $i] :
( ( ~ ~ ! [SY3166: $i] :
( ~ ( r2 @ SV63 @ SY3166 )
| ( SV129 @ SY3166 ) )
| ! [SY3167: $i] :
( ~ ( r2 @ SV63 @ SY3167 )
| ~ ! [SY3168: $i] :
( ~ ( r2 @ SY3167 @ SY3168 )
| ( SV129 @ SY3168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(334,plain,
! [SV130: $i > $o,SV64: $i] :
( ( ~ ~ ! [SY3169: $i] :
( ~ ( r3 @ SV64 @ SY3169 )
| ( SV130 @ SY3169 ) )
| ! [SY3170: $i] :
( ~ ( r3 @ SV64 @ SY3170 )
| ~ ! [SY3171: $i] :
( ~ ( r3 @ SY3170 @ SY3171 )
| ( SV130 @ SY3171 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(335,plain,
! [SV131: $i > $o,SV65: $i] :
( ( ~ ~ ! [SY3172: $i] :
( ~ ( r4 @ SV65 @ SY3172 )
| ( SV131 @ SY3172 ) )
| ! [SY3173: $i] :
( ~ ( r4 @ SV65 @ SY3173 )
| ~ ! [SY3174: $i] :
( ~ ( r4 @ SY3173 @ SY3174 )
| ( SV131 @ SY3174 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(336,plain,
! [SV132: $i > $o,SV66: $i] :
( ( ~ ~ ! [SY3175: $i] :
( ~ ( r5 @ SV66 @ SY3175 )
| ( SV132 @ SY3175 ) )
| ! [SY3176: $i] :
( ~ ( r5 @ SV66 @ SY3176 )
| ~ ! [SY3177: $i] :
( ~ ( r5 @ SY3176 @ SY3177 )
| ( SV132 @ SY3177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(337,plain,
! [SV67: mu] :
( ( ~ ! [SY3019: $i] :
( ~ ( r1 @ sK1_SY25 @ SY3019 )
| ~ ( good_in_maths @ SV67 @ SY3019 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(338,plain,
! [SV1: $i,SV68: mu] :
( ( ( ~ ( maths_teacher @ SV68 @ SV1 ) )
= $true )
| ( ( ! [SY3020: $i] :
( ~ ( r4 @ SV1 @ SY3020 )
| ( good_in_maths @ SV68 @ SY3020 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(339,plain,
! [SV69: mu,SV133: $i,SV2: $i] :
( ( ~ ( r5 @ SV2 @ SV133 )
| ~ ! [SY3178: $i] :
( ~ ( r1 @ SV133 @ SY3178 )
| ( mathematician @ SV69 @ SY3178 ) )
| ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(340,plain,
! [SV70: mu,SV134: $i,SV3: $i] :
( ( ~ ( r5 @ SV3 @ SV134 )
| ~ ! [SY3180: $i] :
( ~ ( r2 @ SV134 @ SY3180 )
| ( mathematician @ SV70 @ SY3180 ) )
| ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(341,plain,
! [SV71: mu,SV135: $i,SV4: $i] :
( ( ~ ( r5 @ SV4 @ SV135 )
| ~ ! [SY3182: $i] :
( ~ ( r3 @ SV135 @ SY3182 )
| ( mathematician @ SV71 @ SY3182 ) )
| ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(342,plain,
! [SV72: mu,SV136: $i,SV5: $i] :
( ( ~ ( r5 @ SV5 @ SV136 )
| ~ ! [SY3184: $i] :
( ~ ( r4 @ SV136 @ SY3184 )
| ( mathematician @ SV72 @ SY3184 ) )
| ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(343,plain,
! [SV73: mu,SV137: $i,SV6: $i] :
( ( ~ ( r5 @ SV6 @ SV137 )
| ~ ! [SY3186: $i] :
( ~ ( r5 @ SV137 @ SY3186 )
| ( mathematician @ SV73 @ SY3186 ) )
| ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(344,plain,
! [SV74: mu,SV138: $i,SV7: $i] :
( ( ~ ( r3 @ SV7 @ SV138 )
| ~ ( maths_student @ SV74 @ SV138 )
| ~ ! [SY3188: $i] :
( ~ ( r1 @ SV138 @ SY3188 )
| ~ ( good_in_maths @ SV74 @ SY3188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(345,plain,
! [SV75: mu,SV139: $i,SV8: $i] :
( ( ~ ( r3 @ SV8 @ SV139 )
| ~ ( maths_student @ SV75 @ SV139 )
| ~ ! [SY3189: $i] :
( ~ ( r2 @ SV139 @ SY3189 )
| ~ ( good_in_maths @ SV75 @ SY3189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(346,plain,
! [SV76: mu,SV140: $i,SV9: $i] :
( ( ~ ( r3 @ SV9 @ SV140 )
| ~ ( maths_student @ SV76 @ SV140 )
| ~ ! [SY3190: $i] :
( ~ ( r3 @ SV140 @ SY3190 )
| ~ ( good_in_maths @ SV76 @ SY3190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(347,plain,
! [SV77: mu,SV141: $i,SV10: $i] :
( ( ~ ( r3 @ SV10 @ SV141 )
| ~ ( maths_student @ SV77 @ SV141 )
| ~ ! [SY3191: $i] :
( ~ ( r4 @ SV141 @ SY3191 )
| ~ ( good_in_maths @ SV77 @ SY3191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(348,plain,
! [SV78: mu,SV142: $i,SV11: $i] :
( ( ~ ( r3 @ SV11 @ SV142 )
| ~ ( maths_student @ SV78 @ SV142 )
| ~ ! [SY3192: $i] :
( ~ ( r5 @ SV142 @ SY3192 )
| ~ ( good_in_maths @ SV78 @ SY3192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(349,plain,
! [SV79: mu,SV143: $i,SV12: $i] :
( ( ~ ( r3 @ SV12 @ SV143 )
| ~ ( physics_student @ SV79 @ SV143 )
| ~ ! [SY3193: $i] :
( ~ ( r1 @ SV143 @ SY3193 )
| ~ ( good_in_physics @ SV79 @ SY3193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(350,plain,
! [SV80: mu,SV144: $i,SV13: $i] :
( ( ~ ( r3 @ SV13 @ SV144 )
| ~ ( physics_student @ SV80 @ SV144 )
| ~ ! [SY3194: $i] :
( ~ ( r2 @ SV144 @ SY3194 )
| ~ ( good_in_physics @ SV80 @ SY3194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(351,plain,
! [SV81: mu,SV145: $i,SV14: $i] :
( ( ~ ( r3 @ SV14 @ SV145 )
| ~ ( physics_student @ SV81 @ SV145 )
| ~ ! [SY3195: $i] :
( ~ ( r3 @ SV145 @ SY3195 )
| ~ ( good_in_physics @ SV81 @ SY3195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(352,plain,
! [SV82: mu,SV146: $i,SV15: $i] :
( ( ~ ( r3 @ SV15 @ SV146 )
| ~ ( physics_student @ SV82 @ SV146 )
| ~ ! [SY3196: $i] :
( ~ ( r4 @ SV146 @ SY3196 )
| ~ ( good_in_physics @ SV82 @ SY3196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(353,plain,
! [SV83: mu,SV147: $i,SV16: $i] :
( ( ~ ( r3 @ SV16 @ SV147 )
| ~ ( physics_student @ SV83 @ SV147 )
| ~ ! [SY3197: $i] :
( ~ ( r5 @ SV147 @ SY3197 )
| ~ ( good_in_physics @ SV83 @ SY3197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(354,plain,
! [SV84: mu,SV148: $i,SV17: $i] :
( ( ~ ( r2 @ SV17 @ SV148 )
| ~ ( good_in_physics @ SV84 @ SV148 )
| ~ ! [SY3198: $i] :
( ~ ( r2 @ SV148 @ SY3198 )
| ~ ( good_in_maths @ SV84 @ SY3198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(355,plain,
! [SV85: $i,SV19: $i] :
( ( ( ~ ( r2 @ SV19 @ SV85 ) )
= $true )
| ( ( mathematician @ tom @ SV85 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(356,plain,
! [SV86: $i,SV20: $i] :
( ( ( ~ ( r5 @ SV20 @ SV86 ) )
= $true )
| ( ( maths_student @ peter @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(357,plain,
! [SV87: $i,SV21: $i] :
( ( ( ~ ( r5 @ SV21 @ SV87 ) )
= $true )
| ( ( physics_student @ mike @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(358,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ~ ! [SY3058: $i] :
( ~ ( r1 @ SV22 @ SY3058 )
| ( SV88 @ SY3058 ) ) )
= $true )
| ( ( ~ ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(359,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ~ ! [SY3060: $i] :
( ~ ( r2 @ SV23 @ SY3060 )
| ( SV89 @ SY3060 ) ) )
= $true )
| ( ( ~ ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(360,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ~ ! [SY3062: $i] :
( ~ ( r3 @ SV24 @ SY3062 )
| ( SV90 @ SY3062 ) ) )
= $true )
| ( ( ~ ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(361,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ~ ! [SY3064: $i] :
( ~ ( r4 @ SV25 @ SY3064 )
| ( SV91 @ SY3064 ) ) )
= $true )
| ( ( ~ ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(362,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ~ ! [SY3066: $i] :
( ~ ( r5 @ SV26 @ SY3066 )
| ( SV92 @ SY3066 ) ) )
= $true )
| ( ( ~ ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(363,plain,
! [SV93: $i > $o,SV27: $i] :
( ( ( ~ ! [SY3068: $i] :
( ~ ( r2 @ SV27 @ SY3068 )
| ( SV93 @ SY3068 ) ) )
= $true )
| ( ( ! [SY3069: $i] :
( ~ ( r1 @ SV27 @ SY3069 )
| ( SV93 @ SY3069 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(364,plain,
! [SV94: $i > $o,SV28: $i] :
( ( ( ~ ! [SY3070: $i] :
( ~ ( r3 @ SV28 @ SY3070 )
| ( SV94 @ SY3070 ) ) )
= $true )
| ( ( ! [SY3071: $i] :
( ~ ( r1 @ SV28 @ SY3071 )
| ( SV94 @ SY3071 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(365,plain,
! [SV95: $i > $o,SV29: $i] :
( ( ( ~ ! [SY3072: $i] :
( ~ ( r4 @ SV29 @ SY3072 )
| ( SV95 @ SY3072 ) ) )
= $true )
| ( ( ! [SY3073: $i] :
( ~ ( r1 @ SV29 @ SY3073 )
| ( SV95 @ SY3073 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(366,plain,
! [SV96: $i > $o,SV30: $i] :
( ( ( ~ ! [SY3074: $i] :
( ~ ( r5 @ SV30 @ SY3074 )
| ( SV96 @ SY3074 ) ) )
= $true )
| ( ( ! [SY3075: $i] :
( ~ ( r1 @ SV30 @ SY3075 )
| ( SV96 @ SY3075 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(367,plain,
! [SV97: $i > $o,SV31: $i] :
( ( ( ~ ! [SY3076: $i] :
( ~ ( r3 @ SV31 @ SY3076 )
| ( SV97 @ SY3076 ) ) )
= $true )
| ( ( ! [SY3077: $i] :
( ~ ( r2 @ SV31 @ SY3077 )
| ( SV97 @ SY3077 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(368,plain,
! [SV98: $i > $o,SV32: $i] :
( ( ( ~ ! [SY3078: $i] :
( ~ ( r4 @ SV32 @ SY3078 )
| ( SV98 @ SY3078 ) ) )
= $true )
| ( ( ! [SY3079: $i] :
( ~ ( r2 @ SV32 @ SY3079 )
| ( SV98 @ SY3079 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(369,plain,
! [SV99: $i > $o,SV33: $i] :
( ( ( ~ ! [SY3080: $i] :
( ~ ( r5 @ SV33 @ SY3080 )
| ( SV99 @ SY3080 ) ) )
= $true )
| ( ( ! [SY3081: $i] :
( ~ ( r2 @ SV33 @ SY3081 )
| ( SV99 @ SY3081 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[303]) ).
thf(370,plain,
! [SV100: $i > $o,SV34: $i] :
( ( ( ~ ! [SY3082: $i] :
( ~ ( r4 @ SV34 @ SY3082 )
| ( SV100 @ SY3082 ) ) )
= $true )
| ( ( ! [SY3083: $i] :
( ~ ( r3 @ SV34 @ SY3083 )
| ( SV100 @ SY3083 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(371,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ~ ! [SY3084: $i] :
( ~ ( r5 @ SV35 @ SY3084 )
| ( SV101 @ SY3084 ) ) )
= $true )
| ( ( ! [SY3085: $i] :
( ~ ( r3 @ SV35 @ SY3085 )
| ( SV101 @ SY3085 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(372,plain,
! [SV102: $i > $o,SV36: $i] :
( ( ( ~ ! [SY3086: $i] :
( ~ ( r5 @ SV36 @ SY3086 )
| ( SV102 @ SY3086 ) ) )
= $true )
| ( ( ! [SY3087: $i] :
( ~ ( r4 @ SV36 @ SY3087 )
| ( SV102 @ SY3087 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(373,plain,
! [SV103: $i > $o,SV37: $i] :
( ( ( ~ ! [SY3088: $i] :
( ~ ( r1 @ SV37 @ SY3088 )
| ( SV103 @ SY3088 ) ) )
= $true )
| ( ( ! [SY3089: $i] :
( ~ ( r1 @ SV37 @ SY3089 )
| ! [SY3090: $i] :
( ~ ( r1 @ SY3089 @ SY3090 )
| ( SV103 @ SY3090 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[307]) ).
thf(374,plain,
! [SV104: $i > $o,SV38: $i] :
( ( ( ~ ! [SY3091: $i] :
( ~ ( r1 @ SV38 @ SY3091 )
| ( SV104 @ SY3091 ) ) )
= $true )
| ( ( ! [SY3092: $i] :
( ~ ( r2 @ SV38 @ SY3092 )
| ! [SY3093: $i] :
( ~ ( r1 @ SY3092 @ SY3093 )
| ( SV104 @ SY3093 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(375,plain,
! [SV105: $i > $o,SV39: $i] :
( ( ( ~ ! [SY3094: $i] :
( ~ ( r1 @ SV39 @ SY3094 )
| ( SV105 @ SY3094 ) ) )
= $true )
| ( ( ! [SY3095: $i] :
( ~ ( r3 @ SV39 @ SY3095 )
| ! [SY3096: $i] :
( ~ ( r1 @ SY3095 @ SY3096 )
| ( SV105 @ SY3096 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[309]) ).
thf(376,plain,
! [SV106: $i > $o,SV40: $i] :
( ( ( ~ ! [SY3097: $i] :
( ~ ( r1 @ SV40 @ SY3097 )
| ( SV106 @ SY3097 ) ) )
= $true )
| ( ( ! [SY3098: $i] :
( ~ ( r4 @ SV40 @ SY3098 )
| ! [SY3099: $i] :
( ~ ( r1 @ SY3098 @ SY3099 )
| ( SV106 @ SY3099 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(377,plain,
! [SV107: $i > $o,SV41: $i] :
( ( ( ~ ! [SY3100: $i] :
( ~ ( r1 @ SV41 @ SY3100 )
| ( SV107 @ SY3100 ) ) )
= $true )
| ( ( ! [SY3101: $i] :
( ~ ( r5 @ SV41 @ SY3101 )
| ! [SY3102: $i] :
( ~ ( r1 @ SY3101 @ SY3102 )
| ( SV107 @ SY3102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(378,plain,
! [SV108: $i > $o,SV42: $i] :
( ( ( ~ ! [SY3103: $i] :
( ~ ( r2 @ SV42 @ SY3103 )
| ( SV108 @ SY3103 ) ) )
= $true )
| ( ( ! [SY3104: $i] :
( ~ ( r1 @ SV42 @ SY3104 )
| ! [SY3105: $i] :
( ~ ( r2 @ SY3104 @ SY3105 )
| ( SV108 @ SY3105 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(379,plain,
! [SV109: $i > $o,SV43: $i] :
( ( ( ~ ! [SY3106: $i] :
( ~ ( r2 @ SV43 @ SY3106 )
| ( SV109 @ SY3106 ) ) )
= $true )
| ( ( ! [SY3107: $i] :
( ~ ( r2 @ SV43 @ SY3107 )
| ! [SY3108: $i] :
( ~ ( r2 @ SY3107 @ SY3108 )
| ( SV109 @ SY3108 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(380,plain,
! [SV110: $i > $o,SV44: $i] :
( ( ( ~ ! [SY3109: $i] :
( ~ ( r2 @ SV44 @ SY3109 )
| ( SV110 @ SY3109 ) ) )
= $true )
| ( ( ! [SY3110: $i] :
( ~ ( r3 @ SV44 @ SY3110 )
| ! [SY3111: $i] :
( ~ ( r2 @ SY3110 @ SY3111 )
| ( SV110 @ SY3111 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(381,plain,
! [SV111: $i > $o,SV45: $i] :
( ( ( ~ ! [SY3112: $i] :
( ~ ( r2 @ SV45 @ SY3112 )
| ( SV111 @ SY3112 ) ) )
= $true )
| ( ( ! [SY3113: $i] :
( ~ ( r4 @ SV45 @ SY3113 )
| ! [SY3114: $i] :
( ~ ( r2 @ SY3113 @ SY3114 )
| ( SV111 @ SY3114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(382,plain,
! [SV112: $i > $o,SV46: $i] :
( ( ( ~ ! [SY3115: $i] :
( ~ ( r2 @ SV46 @ SY3115 )
| ( SV112 @ SY3115 ) ) )
= $true )
| ( ( ! [SY3116: $i] :
( ~ ( r5 @ SV46 @ SY3116 )
| ! [SY3117: $i] :
( ~ ( r2 @ SY3116 @ SY3117 )
| ( SV112 @ SY3117 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(383,plain,
! [SV113: $i > $o,SV47: $i] :
( ( ( ~ ! [SY3118: $i] :
( ~ ( r3 @ SV47 @ SY3118 )
| ( SV113 @ SY3118 ) ) )
= $true )
| ( ( ! [SY3119: $i] :
( ~ ( r1 @ SV47 @ SY3119 )
| ! [SY3120: $i] :
( ~ ( r3 @ SY3119 @ SY3120 )
| ( SV113 @ SY3120 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(384,plain,
! [SV114: $i > $o,SV48: $i] :
( ( ( ~ ! [SY3121: $i] :
( ~ ( r3 @ SV48 @ SY3121 )
| ( SV114 @ SY3121 ) ) )
= $true )
| ( ( ! [SY3122: $i] :
( ~ ( r2 @ SV48 @ SY3122 )
| ! [SY3123: $i] :
( ~ ( r3 @ SY3122 @ SY3123 )
| ( SV114 @ SY3123 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(385,plain,
! [SV115: $i > $o,SV49: $i] :
( ( ( ~ ! [SY3124: $i] :
( ~ ( r3 @ SV49 @ SY3124 )
| ( SV115 @ SY3124 ) ) )
= $true )
| ( ( ! [SY3125: $i] :
( ~ ( r3 @ SV49 @ SY3125 )
| ! [SY3126: $i] :
( ~ ( r3 @ SY3125 @ SY3126 )
| ( SV115 @ SY3126 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(386,plain,
! [SV116: $i > $o,SV50: $i] :
( ( ( ~ ! [SY3127: $i] :
( ~ ( r3 @ SV50 @ SY3127 )
| ( SV116 @ SY3127 ) ) )
= $true )
| ( ( ! [SY3128: $i] :
( ~ ( r4 @ SV50 @ SY3128 )
| ! [SY3129: $i] :
( ~ ( r3 @ SY3128 @ SY3129 )
| ( SV116 @ SY3129 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(387,plain,
! [SV117: $i > $o,SV51: $i] :
( ( ( ~ ! [SY3130: $i] :
( ~ ( r3 @ SV51 @ SY3130 )
| ( SV117 @ SY3130 ) ) )
= $true )
| ( ( ! [SY3131: $i] :
( ~ ( r5 @ SV51 @ SY3131 )
| ! [SY3132: $i] :
( ~ ( r3 @ SY3131 @ SY3132 )
| ( SV117 @ SY3132 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(388,plain,
! [SV118: $i > $o,SV52: $i] :
( ( ( ~ ! [SY3133: $i] :
( ~ ( r4 @ SV52 @ SY3133 )
| ( SV118 @ SY3133 ) ) )
= $true )
| ( ( ! [SY3134: $i] :
( ~ ( r1 @ SV52 @ SY3134 )
| ! [SY3135: $i] :
( ~ ( r4 @ SY3134 @ SY3135 )
| ( SV118 @ SY3135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(389,plain,
! [SV119: $i > $o,SV53: $i] :
( ( ( ~ ! [SY3136: $i] :
( ~ ( r4 @ SV53 @ SY3136 )
| ( SV119 @ SY3136 ) ) )
= $true )
| ( ( ! [SY3137: $i] :
( ~ ( r2 @ SV53 @ SY3137 )
| ! [SY3138: $i] :
( ~ ( r4 @ SY3137 @ SY3138 )
| ( SV119 @ SY3138 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(390,plain,
! [SV120: $i > $o,SV54: $i] :
( ( ( ~ ! [SY3139: $i] :
( ~ ( r4 @ SV54 @ SY3139 )
| ( SV120 @ SY3139 ) ) )
= $true )
| ( ( ! [SY3140: $i] :
( ~ ( r3 @ SV54 @ SY3140 )
| ! [SY3141: $i] :
( ~ ( r4 @ SY3140 @ SY3141 )
| ( SV120 @ SY3141 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(391,plain,
! [SV121: $i > $o,SV55: $i] :
( ( ( ~ ! [SY3142: $i] :
( ~ ( r4 @ SV55 @ SY3142 )
| ( SV121 @ SY3142 ) ) )
= $true )
| ( ( ! [SY3143: $i] :
( ~ ( r4 @ SV55 @ SY3143 )
| ! [SY3144: $i] :
( ~ ( r4 @ SY3143 @ SY3144 )
| ( SV121 @ SY3144 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(392,plain,
! [SV122: $i > $o,SV56: $i] :
( ( ( ~ ! [SY3145: $i] :
( ~ ( r4 @ SV56 @ SY3145 )
| ( SV122 @ SY3145 ) ) )
= $true )
| ( ( ! [SY3146: $i] :
( ~ ( r5 @ SV56 @ SY3146 )
| ! [SY3147: $i] :
( ~ ( r4 @ SY3146 @ SY3147 )
| ( SV122 @ SY3147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(393,plain,
! [SV123: $i > $o,SV57: $i] :
( ( ( ~ ! [SY3148: $i] :
( ~ ( r5 @ SV57 @ SY3148 )
| ( SV123 @ SY3148 ) ) )
= $true )
| ( ( ! [SY3149: $i] :
( ~ ( r1 @ SV57 @ SY3149 )
| ! [SY3150: $i] :
( ~ ( r5 @ SY3149 @ SY3150 )
| ( SV123 @ SY3150 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(394,plain,
! [SV124: $i > $o,SV58: $i] :
( ( ( ~ ! [SY3151: $i] :
( ~ ( r5 @ SV58 @ SY3151 )
| ( SV124 @ SY3151 ) ) )
= $true )
| ( ( ! [SY3152: $i] :
( ~ ( r2 @ SV58 @ SY3152 )
| ! [SY3153: $i] :
( ~ ( r5 @ SY3152 @ SY3153 )
| ( SV124 @ SY3153 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(395,plain,
! [SV125: $i > $o,SV59: $i] :
( ( ( ~ ! [SY3154: $i] :
( ~ ( r5 @ SV59 @ SY3154 )
| ( SV125 @ SY3154 ) ) )
= $true )
| ( ( ! [SY3155: $i] :
( ~ ( r3 @ SV59 @ SY3155 )
| ! [SY3156: $i] :
( ~ ( r5 @ SY3155 @ SY3156 )
| ( SV125 @ SY3156 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(396,plain,
! [SV126: $i > $o,SV60: $i] :
( ( ( ~ ! [SY3157: $i] :
( ~ ( r5 @ SV60 @ SY3157 )
| ( SV126 @ SY3157 ) ) )
= $true )
| ( ( ! [SY3158: $i] :
( ~ ( r4 @ SV60 @ SY3158 )
| ! [SY3159: $i] :
( ~ ( r5 @ SY3158 @ SY3159 )
| ( SV126 @ SY3159 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(397,plain,
! [SV127: $i > $o,SV61: $i] :
( ( ( ~ ! [SY3160: $i] :
( ~ ( r5 @ SV61 @ SY3160 )
| ( SV127 @ SY3160 ) ) )
= $true )
| ( ( ! [SY3161: $i] :
( ~ ( r5 @ SV61 @ SY3161 )
| ! [SY3162: $i] :
( ~ ( r5 @ SY3161 @ SY3162 )
| ( SV127 @ SY3162 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(398,plain,
! [SV128: $i > $o,SV62: $i] :
( ( ( ~ ~ ! [SY3163: $i] :
( ~ ( r1 @ SV62 @ SY3163 )
| ( SV128 @ SY3163 ) ) )
= $true )
| ( ( ! [SY3164: $i] :
( ~ ( r1 @ SV62 @ SY3164 )
| ~ ! [SY3165: $i] :
( ~ ( r1 @ SY3164 @ SY3165 )
| ( SV128 @ SY3165 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(399,plain,
! [SV129: $i > $o,SV63: $i] :
( ( ( ~ ~ ! [SY3166: $i] :
( ~ ( r2 @ SV63 @ SY3166 )
| ( SV129 @ SY3166 ) ) )
= $true )
| ( ( ! [SY3167: $i] :
( ~ ( r2 @ SV63 @ SY3167 )
| ~ ! [SY3168: $i] :
( ~ ( r2 @ SY3167 @ SY3168 )
| ( SV129 @ SY3168 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(400,plain,
! [SV130: $i > $o,SV64: $i] :
( ( ( ~ ~ ! [SY3169: $i] :
( ~ ( r3 @ SV64 @ SY3169 )
| ( SV130 @ SY3169 ) ) )
= $true )
| ( ( ! [SY3170: $i] :
( ~ ( r3 @ SV64 @ SY3170 )
| ~ ! [SY3171: $i] :
( ~ ( r3 @ SY3170 @ SY3171 )
| ( SV130 @ SY3171 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(401,plain,
! [SV131: $i > $o,SV65: $i] :
( ( ( ~ ~ ! [SY3172: $i] :
( ~ ( r4 @ SV65 @ SY3172 )
| ( SV131 @ SY3172 ) ) )
= $true )
| ( ( ! [SY3173: $i] :
( ~ ( r4 @ SV65 @ SY3173 )
| ~ ! [SY3174: $i] :
( ~ ( r4 @ SY3173 @ SY3174 )
| ( SV131 @ SY3174 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(402,plain,
! [SV132: $i > $o,SV66: $i] :
( ( ( ~ ~ ! [SY3175: $i] :
( ~ ( r5 @ SV66 @ SY3175 )
| ( SV132 @ SY3175 ) ) )
= $true )
| ( ( ! [SY3176: $i] :
( ~ ( r5 @ SV66 @ SY3176 )
| ~ ! [SY3177: $i] :
( ~ ( r5 @ SY3176 @ SY3177 )
| ( SV132 @ SY3177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(403,plain,
! [SV67: mu] :
( ( ! [SY3019: $i] :
( ~ ( r1 @ sK1_SY25 @ SY3019 )
| ~ ( good_in_maths @ SV67 @ SY3019 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(404,plain,
! [SV1: $i,SV68: mu] :
( ( ( maths_teacher @ SV68 @ SV1 )
= $false )
| ( ( ! [SY3020: $i] :
( ~ ( r4 @ SV1 @ SY3020 )
| ( good_in_maths @ SV68 @ SY3020 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(405,plain,
! [SV69: mu,SV133: $i,SV2: $i] :
( ( ( ~ ( r5 @ SV2 @ SV133 ) )
= $true )
| ( ( ~ ! [SY3178: $i] :
( ~ ( r1 @ SV133 @ SY3178 )
| ( mathematician @ SV69 @ SY3178 ) )
| ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(406,plain,
! [SV70: mu,SV134: $i,SV3: $i] :
( ( ( ~ ( r5 @ SV3 @ SV134 ) )
= $true )
| ( ( ~ ! [SY3180: $i] :
( ~ ( r2 @ SV134 @ SY3180 )
| ( mathematician @ SV70 @ SY3180 ) )
| ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(407,plain,
! [SV71: mu,SV135: $i,SV4: $i] :
( ( ( ~ ( r5 @ SV4 @ SV135 ) )
= $true )
| ( ( ~ ! [SY3182: $i] :
( ~ ( r3 @ SV135 @ SY3182 )
| ( mathematician @ SV71 @ SY3182 ) )
| ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(408,plain,
! [SV72: mu,SV136: $i,SV5: $i] :
( ( ( ~ ( r5 @ SV5 @ SV136 ) )
= $true )
| ( ( ~ ! [SY3184: $i] :
( ~ ( r4 @ SV136 @ SY3184 )
| ( mathematician @ SV72 @ SY3184 ) )
| ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(409,plain,
! [SV73: mu,SV137: $i,SV6: $i] :
( ( ( ~ ( r5 @ SV6 @ SV137 ) )
= $true )
| ( ( ~ ! [SY3186: $i] :
( ~ ( r5 @ SV137 @ SY3186 )
| ( mathematician @ SV73 @ SY3186 ) )
| ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(410,plain,
! [SV74: mu,SV138: $i,SV7: $i] :
( ( ( ~ ( r3 @ SV7 @ SV138 ) )
= $true )
| ( ( ~ ( maths_student @ SV74 @ SV138 )
| ~ ! [SY3188: $i] :
( ~ ( r1 @ SV138 @ SY3188 )
| ~ ( good_in_maths @ SV74 @ SY3188 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(411,plain,
! [SV75: mu,SV139: $i,SV8: $i] :
( ( ( ~ ( r3 @ SV8 @ SV139 ) )
= $true )
| ( ( ~ ( maths_student @ SV75 @ SV139 )
| ~ ! [SY3189: $i] :
( ~ ( r2 @ SV139 @ SY3189 )
| ~ ( good_in_maths @ SV75 @ SY3189 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(412,plain,
! [SV76: mu,SV140: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV140 ) )
= $true )
| ( ( ~ ( maths_student @ SV76 @ SV140 )
| ~ ! [SY3190: $i] :
( ~ ( r3 @ SV140 @ SY3190 )
| ~ ( good_in_maths @ SV76 @ SY3190 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(413,plain,
! [SV77: mu,SV141: $i,SV10: $i] :
( ( ( ~ ( r3 @ SV10 @ SV141 ) )
= $true )
| ( ( ~ ( maths_student @ SV77 @ SV141 )
| ~ ! [SY3191: $i] :
( ~ ( r4 @ SV141 @ SY3191 )
| ~ ( good_in_maths @ SV77 @ SY3191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(414,plain,
! [SV78: mu,SV142: $i,SV11: $i] :
( ( ( ~ ( r3 @ SV11 @ SV142 ) )
= $true )
| ( ( ~ ( maths_student @ SV78 @ SV142 )
| ~ ! [SY3192: $i] :
( ~ ( r5 @ SV142 @ SY3192 )
| ~ ( good_in_maths @ SV78 @ SY3192 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(415,plain,
! [SV79: mu,SV143: $i,SV12: $i] :
( ( ( ~ ( r3 @ SV12 @ SV143 ) )
= $true )
| ( ( ~ ( physics_student @ SV79 @ SV143 )
| ~ ! [SY3193: $i] :
( ~ ( r1 @ SV143 @ SY3193 )
| ~ ( good_in_physics @ SV79 @ SY3193 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(416,plain,
! [SV80: mu,SV144: $i,SV13: $i] :
( ( ( ~ ( r3 @ SV13 @ SV144 ) )
= $true )
| ( ( ~ ( physics_student @ SV80 @ SV144 )
| ~ ! [SY3194: $i] :
( ~ ( r2 @ SV144 @ SY3194 )
| ~ ( good_in_physics @ SV80 @ SY3194 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(417,plain,
! [SV81: mu,SV145: $i,SV14: $i] :
( ( ( ~ ( r3 @ SV14 @ SV145 ) )
= $true )
| ( ( ~ ( physics_student @ SV81 @ SV145 )
| ~ ! [SY3195: $i] :
( ~ ( r3 @ SV145 @ SY3195 )
| ~ ( good_in_physics @ SV81 @ SY3195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(418,plain,
! [SV82: mu,SV146: $i,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ SV146 ) )
= $true )
| ( ( ~ ( physics_student @ SV82 @ SV146 )
| ~ ! [SY3196: $i] :
( ~ ( r4 @ SV146 @ SY3196 )
| ~ ( good_in_physics @ SV82 @ SY3196 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(419,plain,
! [SV83: mu,SV147: $i,SV16: $i] :
( ( ( ~ ( r3 @ SV16 @ SV147 ) )
= $true )
| ( ( ~ ( physics_student @ SV83 @ SV147 )
| ~ ! [SY3197: $i] :
( ~ ( r5 @ SV147 @ SY3197 )
| ~ ( good_in_physics @ SV83 @ SY3197 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(420,plain,
! [SV84: mu,SV148: $i,SV17: $i] :
( ( ( ~ ( r2 @ SV17 @ SV148 ) )
= $true )
| ( ( ~ ( good_in_physics @ SV84 @ SV148 )
| ~ ! [SY3198: $i] :
( ~ ( r2 @ SV148 @ SY3198 )
| ~ ( good_in_maths @ SV84 @ SY3198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(421,plain,
! [SV85: $i,SV19: $i] :
( ( ( r2 @ SV19 @ SV85 )
= $false )
| ( ( mathematician @ tom @ SV85 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(422,plain,
! [SV86: $i,SV20: $i] :
( ( ( r5 @ SV20 @ SV86 )
= $false )
| ( ( maths_student @ peter @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(423,plain,
! [SV87: $i,SV21: $i] :
( ( ( r5 @ SV21 @ SV87 )
= $false )
| ( ( physics_student @ mike @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(424,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ! [SY3058: $i] :
( ~ ( r1 @ SV22 @ SY3058 )
| ( SV88 @ SY3058 ) ) )
= $false )
| ( ( ~ ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(425,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ! [SY3060: $i] :
( ~ ( r2 @ SV23 @ SY3060 )
| ( SV89 @ SY3060 ) ) )
= $false )
| ( ( ~ ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(426,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ! [SY3062: $i] :
( ~ ( r3 @ SV24 @ SY3062 )
| ( SV90 @ SY3062 ) ) )
= $false )
| ( ( ~ ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(427,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ! [SY3064: $i] :
( ~ ( r4 @ SV25 @ SY3064 )
| ( SV91 @ SY3064 ) ) )
= $false )
| ( ( ~ ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(428,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ! [SY3066: $i] :
( ~ ( r5 @ SV26 @ SY3066 )
| ( SV92 @ SY3066 ) ) )
= $false )
| ( ( ~ ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(429,plain,
! [SV93: $i > $o,SV27: $i] :
( ( ( ! [SY3068: $i] :
( ~ ( r2 @ SV27 @ SY3068 )
| ( SV93 @ SY3068 ) ) )
= $false )
| ( ( ! [SY3069: $i] :
( ~ ( r1 @ SV27 @ SY3069 )
| ( SV93 @ SY3069 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(430,plain,
! [SV94: $i > $o,SV28: $i] :
( ( ( ! [SY3070: $i] :
( ~ ( r3 @ SV28 @ SY3070 )
| ( SV94 @ SY3070 ) ) )
= $false )
| ( ( ! [SY3071: $i] :
( ~ ( r1 @ SV28 @ SY3071 )
| ( SV94 @ SY3071 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(431,plain,
! [SV95: $i > $o,SV29: $i] :
( ( ( ! [SY3072: $i] :
( ~ ( r4 @ SV29 @ SY3072 )
| ( SV95 @ SY3072 ) ) )
= $false )
| ( ( ! [SY3073: $i] :
( ~ ( r1 @ SV29 @ SY3073 )
| ( SV95 @ SY3073 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(432,plain,
! [SV96: $i > $o,SV30: $i] :
( ( ( ! [SY3074: $i] :
( ~ ( r5 @ SV30 @ SY3074 )
| ( SV96 @ SY3074 ) ) )
= $false )
| ( ( ! [SY3075: $i] :
( ~ ( r1 @ SV30 @ SY3075 )
| ( SV96 @ SY3075 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(433,plain,
! [SV97: $i > $o,SV31: $i] :
( ( ( ! [SY3076: $i] :
( ~ ( r3 @ SV31 @ SY3076 )
| ( SV97 @ SY3076 ) ) )
= $false )
| ( ( ! [SY3077: $i] :
( ~ ( r2 @ SV31 @ SY3077 )
| ( SV97 @ SY3077 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(434,plain,
! [SV98: $i > $o,SV32: $i] :
( ( ( ! [SY3078: $i] :
( ~ ( r4 @ SV32 @ SY3078 )
| ( SV98 @ SY3078 ) ) )
= $false )
| ( ( ! [SY3079: $i] :
( ~ ( r2 @ SV32 @ SY3079 )
| ( SV98 @ SY3079 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(435,plain,
! [SV99: $i > $o,SV33: $i] :
( ( ( ! [SY3080: $i] :
( ~ ( r5 @ SV33 @ SY3080 )
| ( SV99 @ SY3080 ) ) )
= $false )
| ( ( ! [SY3081: $i] :
( ~ ( r2 @ SV33 @ SY3081 )
| ( SV99 @ SY3081 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(436,plain,
! [SV100: $i > $o,SV34: $i] :
( ( ( ! [SY3082: $i] :
( ~ ( r4 @ SV34 @ SY3082 )
| ( SV100 @ SY3082 ) ) )
= $false )
| ( ( ! [SY3083: $i] :
( ~ ( r3 @ SV34 @ SY3083 )
| ( SV100 @ SY3083 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(437,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ! [SY3084: $i] :
( ~ ( r5 @ SV35 @ SY3084 )
| ( SV101 @ SY3084 ) ) )
= $false )
| ( ( ! [SY3085: $i] :
( ~ ( r3 @ SV35 @ SY3085 )
| ( SV101 @ SY3085 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(438,plain,
! [SV102: $i > $o,SV36: $i] :
( ( ( ! [SY3086: $i] :
( ~ ( r5 @ SV36 @ SY3086 )
| ( SV102 @ SY3086 ) ) )
= $false )
| ( ( ! [SY3087: $i] :
( ~ ( r4 @ SV36 @ SY3087 )
| ( SV102 @ SY3087 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(439,plain,
! [SV103: $i > $o,SV37: $i] :
( ( ( ! [SY3088: $i] :
( ~ ( r1 @ SV37 @ SY3088 )
| ( SV103 @ SY3088 ) ) )
= $false )
| ( ( ! [SY3089: $i] :
( ~ ( r1 @ SV37 @ SY3089 )
| ! [SY3090: $i] :
( ~ ( r1 @ SY3089 @ SY3090 )
| ( SV103 @ SY3090 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(440,plain,
! [SV104: $i > $o,SV38: $i] :
( ( ( ! [SY3091: $i] :
( ~ ( r1 @ SV38 @ SY3091 )
| ( SV104 @ SY3091 ) ) )
= $false )
| ( ( ! [SY3092: $i] :
( ~ ( r2 @ SV38 @ SY3092 )
| ! [SY3093: $i] :
( ~ ( r1 @ SY3092 @ SY3093 )
| ( SV104 @ SY3093 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(441,plain,
! [SV105: $i > $o,SV39: $i] :
( ( ( ! [SY3094: $i] :
( ~ ( r1 @ SV39 @ SY3094 )
| ( SV105 @ SY3094 ) ) )
= $false )
| ( ( ! [SY3095: $i] :
( ~ ( r3 @ SV39 @ SY3095 )
| ! [SY3096: $i] :
( ~ ( r1 @ SY3095 @ SY3096 )
| ( SV105 @ SY3096 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(442,plain,
! [SV106: $i > $o,SV40: $i] :
( ( ( ! [SY3097: $i] :
( ~ ( r1 @ SV40 @ SY3097 )
| ( SV106 @ SY3097 ) ) )
= $false )
| ( ( ! [SY3098: $i] :
( ~ ( r4 @ SV40 @ SY3098 )
| ! [SY3099: $i] :
( ~ ( r1 @ SY3098 @ SY3099 )
| ( SV106 @ SY3099 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(443,plain,
! [SV107: $i > $o,SV41: $i] :
( ( ( ! [SY3100: $i] :
( ~ ( r1 @ SV41 @ SY3100 )
| ( SV107 @ SY3100 ) ) )
= $false )
| ( ( ! [SY3101: $i] :
( ~ ( r5 @ SV41 @ SY3101 )
| ! [SY3102: $i] :
( ~ ( r1 @ SY3101 @ SY3102 )
| ( SV107 @ SY3102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(444,plain,
! [SV108: $i > $o,SV42: $i] :
( ( ( ! [SY3103: $i] :
( ~ ( r2 @ SV42 @ SY3103 )
| ( SV108 @ SY3103 ) ) )
= $false )
| ( ( ! [SY3104: $i] :
( ~ ( r1 @ SV42 @ SY3104 )
| ! [SY3105: $i] :
( ~ ( r2 @ SY3104 @ SY3105 )
| ( SV108 @ SY3105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(445,plain,
! [SV109: $i > $o,SV43: $i] :
( ( ( ! [SY3106: $i] :
( ~ ( r2 @ SV43 @ SY3106 )
| ( SV109 @ SY3106 ) ) )
= $false )
| ( ( ! [SY3107: $i] :
( ~ ( r2 @ SV43 @ SY3107 )
| ! [SY3108: $i] :
( ~ ( r2 @ SY3107 @ SY3108 )
| ( SV109 @ SY3108 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(446,plain,
! [SV110: $i > $o,SV44: $i] :
( ( ( ! [SY3109: $i] :
( ~ ( r2 @ SV44 @ SY3109 )
| ( SV110 @ SY3109 ) ) )
= $false )
| ( ( ! [SY3110: $i] :
( ~ ( r3 @ SV44 @ SY3110 )
| ! [SY3111: $i] :
( ~ ( r2 @ SY3110 @ SY3111 )
| ( SV110 @ SY3111 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(447,plain,
! [SV111: $i > $o,SV45: $i] :
( ( ( ! [SY3112: $i] :
( ~ ( r2 @ SV45 @ SY3112 )
| ( SV111 @ SY3112 ) ) )
= $false )
| ( ( ! [SY3113: $i] :
( ~ ( r4 @ SV45 @ SY3113 )
| ! [SY3114: $i] :
( ~ ( r2 @ SY3113 @ SY3114 )
| ( SV111 @ SY3114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(448,plain,
! [SV112: $i > $o,SV46: $i] :
( ( ( ! [SY3115: $i] :
( ~ ( r2 @ SV46 @ SY3115 )
| ( SV112 @ SY3115 ) ) )
= $false )
| ( ( ! [SY3116: $i] :
( ~ ( r5 @ SV46 @ SY3116 )
| ! [SY3117: $i] :
( ~ ( r2 @ SY3116 @ SY3117 )
| ( SV112 @ SY3117 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(449,plain,
! [SV113: $i > $o,SV47: $i] :
( ( ( ! [SY3118: $i] :
( ~ ( r3 @ SV47 @ SY3118 )
| ( SV113 @ SY3118 ) ) )
= $false )
| ( ( ! [SY3119: $i] :
( ~ ( r1 @ SV47 @ SY3119 )
| ! [SY3120: $i] :
( ~ ( r3 @ SY3119 @ SY3120 )
| ( SV113 @ SY3120 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(450,plain,
! [SV114: $i > $o,SV48: $i] :
( ( ( ! [SY3121: $i] :
( ~ ( r3 @ SV48 @ SY3121 )
| ( SV114 @ SY3121 ) ) )
= $false )
| ( ( ! [SY3122: $i] :
( ~ ( r2 @ SV48 @ SY3122 )
| ! [SY3123: $i] :
( ~ ( r3 @ SY3122 @ SY3123 )
| ( SV114 @ SY3123 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(451,plain,
! [SV115: $i > $o,SV49: $i] :
( ( ( ! [SY3124: $i] :
( ~ ( r3 @ SV49 @ SY3124 )
| ( SV115 @ SY3124 ) ) )
= $false )
| ( ( ! [SY3125: $i] :
( ~ ( r3 @ SV49 @ SY3125 )
| ! [SY3126: $i] :
( ~ ( r3 @ SY3125 @ SY3126 )
| ( SV115 @ SY3126 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(452,plain,
! [SV116: $i > $o,SV50: $i] :
( ( ( ! [SY3127: $i] :
( ~ ( r3 @ SV50 @ SY3127 )
| ( SV116 @ SY3127 ) ) )
= $false )
| ( ( ! [SY3128: $i] :
( ~ ( r4 @ SV50 @ SY3128 )
| ! [SY3129: $i] :
( ~ ( r3 @ SY3128 @ SY3129 )
| ( SV116 @ SY3129 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(453,plain,
! [SV117: $i > $o,SV51: $i] :
( ( ( ! [SY3130: $i] :
( ~ ( r3 @ SV51 @ SY3130 )
| ( SV117 @ SY3130 ) ) )
= $false )
| ( ( ! [SY3131: $i] :
( ~ ( r5 @ SV51 @ SY3131 )
| ! [SY3132: $i] :
( ~ ( r3 @ SY3131 @ SY3132 )
| ( SV117 @ SY3132 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(454,plain,
! [SV118: $i > $o,SV52: $i] :
( ( ( ! [SY3133: $i] :
( ~ ( r4 @ SV52 @ SY3133 )
| ( SV118 @ SY3133 ) ) )
= $false )
| ( ( ! [SY3134: $i] :
( ~ ( r1 @ SV52 @ SY3134 )
| ! [SY3135: $i] :
( ~ ( r4 @ SY3134 @ SY3135 )
| ( SV118 @ SY3135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(455,plain,
! [SV119: $i > $o,SV53: $i] :
( ( ( ! [SY3136: $i] :
( ~ ( r4 @ SV53 @ SY3136 )
| ( SV119 @ SY3136 ) ) )
= $false )
| ( ( ! [SY3137: $i] :
( ~ ( r2 @ SV53 @ SY3137 )
| ! [SY3138: $i] :
( ~ ( r4 @ SY3137 @ SY3138 )
| ( SV119 @ SY3138 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(456,plain,
! [SV120: $i > $o,SV54: $i] :
( ( ( ! [SY3139: $i] :
( ~ ( r4 @ SV54 @ SY3139 )
| ( SV120 @ SY3139 ) ) )
= $false )
| ( ( ! [SY3140: $i] :
( ~ ( r3 @ SV54 @ SY3140 )
| ! [SY3141: $i] :
( ~ ( r4 @ SY3140 @ SY3141 )
| ( SV120 @ SY3141 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(457,plain,
! [SV121: $i > $o,SV55: $i] :
( ( ( ! [SY3142: $i] :
( ~ ( r4 @ SV55 @ SY3142 )
| ( SV121 @ SY3142 ) ) )
= $false )
| ( ( ! [SY3143: $i] :
( ~ ( r4 @ SV55 @ SY3143 )
| ! [SY3144: $i] :
( ~ ( r4 @ SY3143 @ SY3144 )
| ( SV121 @ SY3144 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(458,plain,
! [SV122: $i > $o,SV56: $i] :
( ( ( ! [SY3145: $i] :
( ~ ( r4 @ SV56 @ SY3145 )
| ( SV122 @ SY3145 ) ) )
= $false )
| ( ( ! [SY3146: $i] :
( ~ ( r5 @ SV56 @ SY3146 )
| ! [SY3147: $i] :
( ~ ( r4 @ SY3146 @ SY3147 )
| ( SV122 @ SY3147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(459,plain,
! [SV123: $i > $o,SV57: $i] :
( ( ( ! [SY3148: $i] :
( ~ ( r5 @ SV57 @ SY3148 )
| ( SV123 @ SY3148 ) ) )
= $false )
| ( ( ! [SY3149: $i] :
( ~ ( r1 @ SV57 @ SY3149 )
| ! [SY3150: $i] :
( ~ ( r5 @ SY3149 @ SY3150 )
| ( SV123 @ SY3150 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(460,plain,
! [SV124: $i > $o,SV58: $i] :
( ( ( ! [SY3151: $i] :
( ~ ( r5 @ SV58 @ SY3151 )
| ( SV124 @ SY3151 ) ) )
= $false )
| ( ( ! [SY3152: $i] :
( ~ ( r2 @ SV58 @ SY3152 )
| ! [SY3153: $i] :
( ~ ( r5 @ SY3152 @ SY3153 )
| ( SV124 @ SY3153 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(461,plain,
! [SV125: $i > $o,SV59: $i] :
( ( ( ! [SY3154: $i] :
( ~ ( r5 @ SV59 @ SY3154 )
| ( SV125 @ SY3154 ) ) )
= $false )
| ( ( ! [SY3155: $i] :
( ~ ( r3 @ SV59 @ SY3155 )
| ! [SY3156: $i] :
( ~ ( r5 @ SY3155 @ SY3156 )
| ( SV125 @ SY3156 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(462,plain,
! [SV126: $i > $o,SV60: $i] :
( ( ( ! [SY3157: $i] :
( ~ ( r5 @ SV60 @ SY3157 )
| ( SV126 @ SY3157 ) ) )
= $false )
| ( ( ! [SY3158: $i] :
( ~ ( r4 @ SV60 @ SY3158 )
| ! [SY3159: $i] :
( ~ ( r5 @ SY3158 @ SY3159 )
| ( SV126 @ SY3159 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(463,plain,
! [SV127: $i > $o,SV61: $i] :
( ( ( ! [SY3160: $i] :
( ~ ( r5 @ SV61 @ SY3160 )
| ( SV127 @ SY3160 ) ) )
= $false )
| ( ( ! [SY3161: $i] :
( ~ ( r5 @ SV61 @ SY3161 )
| ! [SY3162: $i] :
( ~ ( r5 @ SY3161 @ SY3162 )
| ( SV127 @ SY3162 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(464,plain,
! [SV128: $i > $o,SV62: $i] :
( ( ( ~ ! [SY3163: $i] :
( ~ ( r1 @ SV62 @ SY3163 )
| ( SV128 @ SY3163 ) ) )
= $false )
| ( ( ! [SY3164: $i] :
( ~ ( r1 @ SV62 @ SY3164 )
| ~ ! [SY3165: $i] :
( ~ ( r1 @ SY3164 @ SY3165 )
| ( SV128 @ SY3165 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(465,plain,
! [SV129: $i > $o,SV63: $i] :
( ( ( ~ ! [SY3166: $i] :
( ~ ( r2 @ SV63 @ SY3166 )
| ( SV129 @ SY3166 ) ) )
= $false )
| ( ( ! [SY3167: $i] :
( ~ ( r2 @ SV63 @ SY3167 )
| ~ ! [SY3168: $i] :
( ~ ( r2 @ SY3167 @ SY3168 )
| ( SV129 @ SY3168 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(466,plain,
! [SV130: $i > $o,SV64: $i] :
( ( ( ~ ! [SY3169: $i] :
( ~ ( r3 @ SV64 @ SY3169 )
| ( SV130 @ SY3169 ) ) )
= $false )
| ( ( ! [SY3170: $i] :
( ~ ( r3 @ SV64 @ SY3170 )
| ~ ! [SY3171: $i] :
( ~ ( r3 @ SY3170 @ SY3171 )
| ( SV130 @ SY3171 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(467,plain,
! [SV131: $i > $o,SV65: $i] :
( ( ( ~ ! [SY3172: $i] :
( ~ ( r4 @ SV65 @ SY3172 )
| ( SV131 @ SY3172 ) ) )
= $false )
| ( ( ! [SY3173: $i] :
( ~ ( r4 @ SV65 @ SY3173 )
| ~ ! [SY3174: $i] :
( ~ ( r4 @ SY3173 @ SY3174 )
| ( SV131 @ SY3174 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(468,plain,
! [SV132: $i > $o,SV66: $i] :
( ( ( ~ ! [SY3175: $i] :
( ~ ( r5 @ SV66 @ SY3175 )
| ( SV132 @ SY3175 ) ) )
= $false )
| ( ( ! [SY3176: $i] :
( ~ ( r5 @ SV66 @ SY3176 )
| ~ ! [SY3177: $i] :
( ~ ( r5 @ SY3176 @ SY3177 )
| ( SV132 @ SY3177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(469,plain,
! [SV67: mu,SV149: $i] :
( ( ~ ( r1 @ sK1_SY25 @ SV149 )
| ~ ( good_in_maths @ SV67 @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(470,plain,
! [SV68: mu,SV150: $i,SV1: $i] :
( ( ( ~ ( r4 @ SV1 @ SV150 )
| ( good_in_maths @ SV68 @ SV150 ) )
= $true )
| ( ( maths_teacher @ SV68 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(471,plain,
! [SV69: mu,SV133: $i,SV2: $i] :
( ( ( r5 @ SV2 @ SV133 )
= $false )
| ( ( ~ ! [SY3178: $i] :
( ~ ( r1 @ SV133 @ SY3178 )
| ( mathematician @ SV69 @ SY3178 ) )
| ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(472,plain,
! [SV70: mu,SV134: $i,SV3: $i] :
( ( ( r5 @ SV3 @ SV134 )
= $false )
| ( ( ~ ! [SY3180: $i] :
( ~ ( r2 @ SV134 @ SY3180 )
| ( mathematician @ SV70 @ SY3180 ) )
| ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(473,plain,
! [SV71: mu,SV135: $i,SV4: $i] :
( ( ( r5 @ SV4 @ SV135 )
= $false )
| ( ( ~ ! [SY3182: $i] :
( ~ ( r3 @ SV135 @ SY3182 )
| ( mathematician @ SV71 @ SY3182 ) )
| ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(474,plain,
! [SV72: mu,SV136: $i,SV5: $i] :
( ( ( r5 @ SV5 @ SV136 )
= $false )
| ( ( ~ ! [SY3184: $i] :
( ~ ( r4 @ SV136 @ SY3184 )
| ( mathematician @ SV72 @ SY3184 ) )
| ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(475,plain,
! [SV73: mu,SV137: $i,SV6: $i] :
( ( ( r5 @ SV6 @ SV137 )
= $false )
| ( ( ~ ! [SY3186: $i] :
( ~ ( r5 @ SV137 @ SY3186 )
| ( mathematician @ SV73 @ SY3186 ) )
| ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(476,plain,
! [SV74: mu,SV138: $i,SV7: $i] :
( ( ( r3 @ SV7 @ SV138 )
= $false )
| ( ( ~ ( maths_student @ SV74 @ SV138 )
| ~ ! [SY3188: $i] :
( ~ ( r1 @ SV138 @ SY3188 )
| ~ ( good_in_maths @ SV74 @ SY3188 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(477,plain,
! [SV75: mu,SV139: $i,SV8: $i] :
( ( ( r3 @ SV8 @ SV139 )
= $false )
| ( ( ~ ( maths_student @ SV75 @ SV139 )
| ~ ! [SY3189: $i] :
( ~ ( r2 @ SV139 @ SY3189 )
| ~ ( good_in_maths @ SV75 @ SY3189 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(478,plain,
! [SV76: mu,SV140: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV140 )
= $false )
| ( ( ~ ( maths_student @ SV76 @ SV140 )
| ~ ! [SY3190: $i] :
( ~ ( r3 @ SV140 @ SY3190 )
| ~ ( good_in_maths @ SV76 @ SY3190 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(479,plain,
! [SV77: mu,SV141: $i,SV10: $i] :
( ( ( r3 @ SV10 @ SV141 )
= $false )
| ( ( ~ ( maths_student @ SV77 @ SV141 )
| ~ ! [SY3191: $i] :
( ~ ( r4 @ SV141 @ SY3191 )
| ~ ( good_in_maths @ SV77 @ SY3191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(480,plain,
! [SV78: mu,SV142: $i,SV11: $i] :
( ( ( r3 @ SV11 @ SV142 )
= $false )
| ( ( ~ ( maths_student @ SV78 @ SV142 )
| ~ ! [SY3192: $i] :
( ~ ( r5 @ SV142 @ SY3192 )
| ~ ( good_in_maths @ SV78 @ SY3192 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(481,plain,
! [SV79: mu,SV143: $i,SV12: $i] :
( ( ( r3 @ SV12 @ SV143 )
= $false )
| ( ( ~ ( physics_student @ SV79 @ SV143 )
| ~ ! [SY3193: $i] :
( ~ ( r1 @ SV143 @ SY3193 )
| ~ ( good_in_physics @ SV79 @ SY3193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(482,plain,
! [SV80: mu,SV144: $i,SV13: $i] :
( ( ( r3 @ SV13 @ SV144 )
= $false )
| ( ( ~ ( physics_student @ SV80 @ SV144 )
| ~ ! [SY3194: $i] :
( ~ ( r2 @ SV144 @ SY3194 )
| ~ ( good_in_physics @ SV80 @ SY3194 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(483,plain,
! [SV81: mu,SV145: $i,SV14: $i] :
( ( ( r3 @ SV14 @ SV145 )
= $false )
| ( ( ~ ( physics_student @ SV81 @ SV145 )
| ~ ! [SY3195: $i] :
( ~ ( r3 @ SV145 @ SY3195 )
| ~ ( good_in_physics @ SV81 @ SY3195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(484,plain,
! [SV82: mu,SV146: $i,SV15: $i] :
( ( ( r3 @ SV15 @ SV146 )
= $false )
| ( ( ~ ( physics_student @ SV82 @ SV146 )
| ~ ! [SY3196: $i] :
( ~ ( r4 @ SV146 @ SY3196 )
| ~ ( good_in_physics @ SV82 @ SY3196 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(485,plain,
! [SV83: mu,SV147: $i,SV16: $i] :
( ( ( r3 @ SV16 @ SV147 )
= $false )
| ( ( ~ ( physics_student @ SV83 @ SV147 )
| ~ ! [SY3197: $i] :
( ~ ( r5 @ SV147 @ SY3197 )
| ~ ( good_in_physics @ SV83 @ SY3197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(486,plain,
! [SV84: mu,SV148: $i,SV17: $i] :
( ( ( r2 @ SV17 @ SV148 )
= $false )
| ( ( ~ ( good_in_physics @ SV84 @ SV148 )
| ~ ! [SY3198: $i] :
( ~ ( r2 @ SV148 @ SY3198 )
| ~ ( good_in_maths @ SV84 @ SY3198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(487,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
| ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) ) )
= $false )
| ( ( ~ ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[424]) ).
thf(488,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ~ ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
| ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) ) )
= $false )
| ( ( ~ ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[425]) ).
thf(489,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ~ ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
| ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) ) )
= $false )
| ( ( ~ ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[426]) ).
thf(490,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ~ ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
| ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) ) )
= $false )
| ( ( ~ ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[427]) ).
thf(491,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ~ ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
| ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) ) )
= $false )
| ( ( ~ ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[428]) ).
thf(492,plain,
! [SV93: $i > $o,SV27: $i] :
( ( ( ~ ( r2 @ SV27 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
| ( SV93 @ ( sK7_SY3068 @ SV93 @ SV27 ) ) )
= $false )
| ( ( ! [SY3069: $i] :
( ~ ( r1 @ SV27 @ SY3069 )
| ( SV93 @ SY3069 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[429]) ).
thf(493,plain,
! [SV94: $i > $o,SV28: $i] :
( ( ( ~ ( r3 @ SV28 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
| ( SV94 @ ( sK8_SY3070 @ SV94 @ SV28 ) ) )
= $false )
| ( ( ! [SY3071: $i] :
( ~ ( r1 @ SV28 @ SY3071 )
| ( SV94 @ SY3071 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[430]) ).
thf(494,plain,
! [SV95: $i > $o,SV29: $i] :
( ( ( ~ ( r4 @ SV29 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
| ( SV95 @ ( sK9_SY3072 @ SV95 @ SV29 ) ) )
= $false )
| ( ( ! [SY3073: $i] :
( ~ ( r1 @ SV29 @ SY3073 )
| ( SV95 @ SY3073 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[431]) ).
thf(495,plain,
! [SV96: $i > $o,SV30: $i] :
( ( ( ~ ( r5 @ SV30 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
| ( SV96 @ ( sK10_SY3074 @ SV96 @ SV30 ) ) )
= $false )
| ( ( ! [SY3075: $i] :
( ~ ( r1 @ SV30 @ SY3075 )
| ( SV96 @ SY3075 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[432]) ).
thf(496,plain,
! [SV97: $i > $o,SV31: $i] :
( ( ( ~ ( r3 @ SV31 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
| ( SV97 @ ( sK11_SY3076 @ SV97 @ SV31 ) ) )
= $false )
| ( ( ! [SY3077: $i] :
( ~ ( r2 @ SV31 @ SY3077 )
| ( SV97 @ SY3077 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[433]) ).
thf(497,plain,
! [SV98: $i > $o,SV32: $i] :
( ( ( ~ ( r4 @ SV32 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
| ( SV98 @ ( sK12_SY3078 @ SV98 @ SV32 ) ) )
= $false )
| ( ( ! [SY3079: $i] :
( ~ ( r2 @ SV32 @ SY3079 )
| ( SV98 @ SY3079 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[434]) ).
thf(498,plain,
! [SV99: $i > $o,SV33: $i] :
( ( ( ~ ( r5 @ SV33 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
| ( SV99 @ ( sK13_SY3080 @ SV99 @ SV33 ) ) )
= $false )
| ( ( ! [SY3081: $i] :
( ~ ( r2 @ SV33 @ SY3081 )
| ( SV99 @ SY3081 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[435]) ).
thf(499,plain,
! [SV100: $i > $o,SV34: $i] :
( ( ( ~ ( r4 @ SV34 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
| ( SV100 @ ( sK14_SY3082 @ SV100 @ SV34 ) ) )
= $false )
| ( ( ! [SY3083: $i] :
( ~ ( r3 @ SV34 @ SY3083 )
| ( SV100 @ SY3083 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[436]) ).
thf(500,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ~ ( r5 @ SV35 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
| ( SV101 @ ( sK15_SY3084 @ SV101 @ SV35 ) ) )
= $false )
| ( ( ! [SY3085: $i] :
( ~ ( r3 @ SV35 @ SY3085 )
| ( SV101 @ SY3085 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[437]) ).
thf(501,plain,
! [SV102: $i > $o,SV36: $i] :
( ( ( ~ ( r5 @ SV36 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
| ( SV102 @ ( sK16_SY3086 @ SV102 @ SV36 ) ) )
= $false )
| ( ( ! [SY3087: $i] :
( ~ ( r4 @ SV36 @ SY3087 )
| ( SV102 @ SY3087 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[438]) ).
thf(502,plain,
! [SV103: $i > $o,SV37: $i] :
( ( ( ~ ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
| ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) ) )
= $false )
| ( ( ! [SY3089: $i] :
( ~ ( r1 @ SV37 @ SY3089 )
| ! [SY3090: $i] :
( ~ ( r1 @ SY3089 @ SY3090 )
| ( SV103 @ SY3090 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[439]) ).
thf(503,plain,
! [SV104: $i > $o,SV38: $i] :
( ( ( ~ ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
| ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) ) )
= $false )
| ( ( ! [SY3092: $i] :
( ~ ( r2 @ SV38 @ SY3092 )
| ! [SY3093: $i] :
( ~ ( r1 @ SY3092 @ SY3093 )
| ( SV104 @ SY3093 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[440]) ).
thf(504,plain,
! [SV105: $i > $o,SV39: $i] :
( ( ( ~ ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
| ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) ) )
= $false )
| ( ( ! [SY3095: $i] :
( ~ ( r3 @ SV39 @ SY3095 )
| ! [SY3096: $i] :
( ~ ( r1 @ SY3095 @ SY3096 )
| ( SV105 @ SY3096 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[441]) ).
thf(505,plain,
! [SV106: $i > $o,SV40: $i] :
( ( ( ~ ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
| ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) ) )
= $false )
| ( ( ! [SY3098: $i] :
( ~ ( r4 @ SV40 @ SY3098 )
| ! [SY3099: $i] :
( ~ ( r1 @ SY3098 @ SY3099 )
| ( SV106 @ SY3099 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[442]) ).
thf(506,plain,
! [SV107: $i > $o,SV41: $i] :
( ( ( ~ ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
| ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) ) )
= $false )
| ( ( ! [SY3101: $i] :
( ~ ( r5 @ SV41 @ SY3101 )
| ! [SY3102: $i] :
( ~ ( r1 @ SY3101 @ SY3102 )
| ( SV107 @ SY3102 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[443]) ).
thf(507,plain,
! [SV108: $i > $o,SV42: $i] :
( ( ( ~ ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
| ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) ) )
= $false )
| ( ( ! [SY3104: $i] :
( ~ ( r1 @ SV42 @ SY3104 )
| ! [SY3105: $i] :
( ~ ( r2 @ SY3104 @ SY3105 )
| ( SV108 @ SY3105 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[444]) ).
thf(508,plain,
! [SV109: $i > $o,SV43: $i] :
( ( ( ~ ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
| ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) ) )
= $false )
| ( ( ! [SY3107: $i] :
( ~ ( r2 @ SV43 @ SY3107 )
| ! [SY3108: $i] :
( ~ ( r2 @ SY3107 @ SY3108 )
| ( SV109 @ SY3108 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[445]) ).
thf(509,plain,
! [SV110: $i > $o,SV44: $i] :
( ( ( ~ ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
| ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) ) )
= $false )
| ( ( ! [SY3110: $i] :
( ~ ( r3 @ SV44 @ SY3110 )
| ! [SY3111: $i] :
( ~ ( r2 @ SY3110 @ SY3111 )
| ( SV110 @ SY3111 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[446]) ).
thf(510,plain,
! [SV111: $i > $o,SV45: $i] :
( ( ( ~ ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
| ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) ) )
= $false )
| ( ( ! [SY3113: $i] :
( ~ ( r4 @ SV45 @ SY3113 )
| ! [SY3114: $i] :
( ~ ( r2 @ SY3113 @ SY3114 )
| ( SV111 @ SY3114 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[447]) ).
thf(511,plain,
! [SV112: $i > $o,SV46: $i] :
( ( ( ~ ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
| ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) ) )
= $false )
| ( ( ! [SY3116: $i] :
( ~ ( r5 @ SV46 @ SY3116 )
| ! [SY3117: $i] :
( ~ ( r2 @ SY3116 @ SY3117 )
| ( SV112 @ SY3117 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[448]) ).
thf(512,plain,
! [SV113: $i > $o,SV47: $i] :
( ( ( ~ ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
| ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) ) )
= $false )
| ( ( ! [SY3119: $i] :
( ~ ( r1 @ SV47 @ SY3119 )
| ! [SY3120: $i] :
( ~ ( r3 @ SY3119 @ SY3120 )
| ( SV113 @ SY3120 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[449]) ).
thf(513,plain,
! [SV114: $i > $o,SV48: $i] :
( ( ( ~ ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
| ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) ) )
= $false )
| ( ( ! [SY3122: $i] :
( ~ ( r2 @ SV48 @ SY3122 )
| ! [SY3123: $i] :
( ~ ( r3 @ SY3122 @ SY3123 )
| ( SV114 @ SY3123 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[450]) ).
thf(514,plain,
! [SV115: $i > $o,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
| ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) ) )
= $false )
| ( ( ! [SY3125: $i] :
( ~ ( r3 @ SV49 @ SY3125 )
| ! [SY3126: $i] :
( ~ ( r3 @ SY3125 @ SY3126 )
| ( SV115 @ SY3126 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[451]) ).
thf(515,plain,
! [SV116: $i > $o,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
| ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) ) )
= $false )
| ( ( ! [SY3128: $i] :
( ~ ( r4 @ SV50 @ SY3128 )
| ! [SY3129: $i] :
( ~ ( r3 @ SY3128 @ SY3129 )
| ( SV116 @ SY3129 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[452]) ).
thf(516,plain,
! [SV117: $i > $o,SV51: $i] :
( ( ( ~ ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
| ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) ) )
= $false )
| ( ( ! [SY3131: $i] :
( ~ ( r5 @ SV51 @ SY3131 )
| ! [SY3132: $i] :
( ~ ( r3 @ SY3131 @ SY3132 )
| ( SV117 @ SY3132 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[453]) ).
thf(517,plain,
! [SV118: $i > $o,SV52: $i] :
( ( ( ~ ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
| ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) ) )
= $false )
| ( ( ! [SY3134: $i] :
( ~ ( r1 @ SV52 @ SY3134 )
| ! [SY3135: $i] :
( ~ ( r4 @ SY3134 @ SY3135 )
| ( SV118 @ SY3135 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[454]) ).
thf(518,plain,
! [SV119: $i > $o,SV53: $i] :
( ( ( ~ ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
| ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) ) )
= $false )
| ( ( ! [SY3137: $i] :
( ~ ( r2 @ SV53 @ SY3137 )
| ! [SY3138: $i] :
( ~ ( r4 @ SY3137 @ SY3138 )
| ( SV119 @ SY3138 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[455]) ).
thf(519,plain,
! [SV120: $i > $o,SV54: $i] :
( ( ( ~ ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
| ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) ) )
= $false )
| ( ( ! [SY3140: $i] :
( ~ ( r3 @ SV54 @ SY3140 )
| ! [SY3141: $i] :
( ~ ( r4 @ SY3140 @ SY3141 )
| ( SV120 @ SY3141 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[456]) ).
thf(520,plain,
! [SV121: $i > $o,SV55: $i] :
( ( ( ~ ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
| ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) ) )
= $false )
| ( ( ! [SY3143: $i] :
( ~ ( r4 @ SV55 @ SY3143 )
| ! [SY3144: $i] :
( ~ ( r4 @ SY3143 @ SY3144 )
| ( SV121 @ SY3144 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[457]) ).
thf(521,plain,
! [SV122: $i > $o,SV56: $i] :
( ( ( ~ ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
| ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) ) )
= $false )
| ( ( ! [SY3146: $i] :
( ~ ( r5 @ SV56 @ SY3146 )
| ! [SY3147: $i] :
( ~ ( r4 @ SY3146 @ SY3147 )
| ( SV122 @ SY3147 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[458]) ).
thf(522,plain,
! [SV123: $i > $o,SV57: $i] :
( ( ( ~ ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
| ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) ) )
= $false )
| ( ( ! [SY3149: $i] :
( ~ ( r1 @ SV57 @ SY3149 )
| ! [SY3150: $i] :
( ~ ( r5 @ SY3149 @ SY3150 )
| ( SV123 @ SY3150 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[459]) ).
thf(523,plain,
! [SV124: $i > $o,SV58: $i] :
( ( ( ~ ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
| ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) ) )
= $false )
| ( ( ! [SY3152: $i] :
( ~ ( r2 @ SV58 @ SY3152 )
| ! [SY3153: $i] :
( ~ ( r5 @ SY3152 @ SY3153 )
| ( SV124 @ SY3153 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[460]) ).
thf(524,plain,
! [SV125: $i > $o,SV59: $i] :
( ( ( ~ ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
| ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) ) )
= $false )
| ( ( ! [SY3155: $i] :
( ~ ( r3 @ SV59 @ SY3155 )
| ! [SY3156: $i] :
( ~ ( r5 @ SY3155 @ SY3156 )
| ( SV125 @ SY3156 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[461]) ).
thf(525,plain,
! [SV126: $i > $o,SV60: $i] :
( ( ( ~ ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
| ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) ) )
= $false )
| ( ( ! [SY3158: $i] :
( ~ ( r4 @ SV60 @ SY3158 )
| ! [SY3159: $i] :
( ~ ( r5 @ SY3158 @ SY3159 )
| ( SV126 @ SY3159 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[462]) ).
thf(526,plain,
! [SV127: $i > $o,SV61: $i] :
( ( ( ~ ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
| ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) ) )
= $false )
| ( ( ! [SY3161: $i] :
( ~ ( r5 @ SV61 @ SY3161 )
| ! [SY3162: $i] :
( ~ ( r5 @ SY3161 @ SY3162 )
| ( SV127 @ SY3162 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[463]) ).
thf(527,plain,
! [SV128: $i > $o,SV62: $i] :
( ( ( ! [SY3163: $i] :
( ~ ( r1 @ SV62 @ SY3163 )
| ( SV128 @ SY3163 ) ) )
= $true )
| ( ( ! [SY3164: $i] :
( ~ ( r1 @ SV62 @ SY3164 )
| ~ ! [SY3165: $i] :
( ~ ( r1 @ SY3164 @ SY3165 )
| ( SV128 @ SY3165 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(528,plain,
! [SV129: $i > $o,SV63: $i] :
( ( ( ! [SY3166: $i] :
( ~ ( r2 @ SV63 @ SY3166 )
| ( SV129 @ SY3166 ) ) )
= $true )
| ( ( ! [SY3167: $i] :
( ~ ( r2 @ SV63 @ SY3167 )
| ~ ! [SY3168: $i] :
( ~ ( r2 @ SY3167 @ SY3168 )
| ( SV129 @ SY3168 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(529,plain,
! [SV130: $i > $o,SV64: $i] :
( ( ( ! [SY3169: $i] :
( ~ ( r3 @ SV64 @ SY3169 )
| ( SV130 @ SY3169 ) ) )
= $true )
| ( ( ! [SY3170: $i] :
( ~ ( r3 @ SV64 @ SY3170 )
| ~ ! [SY3171: $i] :
( ~ ( r3 @ SY3170 @ SY3171 )
| ( SV130 @ SY3171 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(530,plain,
! [SV131: $i > $o,SV65: $i] :
( ( ( ! [SY3172: $i] :
( ~ ( r4 @ SV65 @ SY3172 )
| ( SV131 @ SY3172 ) ) )
= $true )
| ( ( ! [SY3173: $i] :
( ~ ( r4 @ SV65 @ SY3173 )
| ~ ! [SY3174: $i] :
( ~ ( r4 @ SY3173 @ SY3174 )
| ( SV131 @ SY3174 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(531,plain,
! [SV132: $i > $o,SV66: $i] :
( ( ( ! [SY3175: $i] :
( ~ ( r5 @ SV66 @ SY3175 )
| ( SV132 @ SY3175 ) ) )
= $true )
| ( ( ! [SY3176: $i] :
( ~ ( r5 @ SV66 @ SY3176 )
| ~ ! [SY3177: $i] :
( ~ ( r5 @ SY3176 @ SY3177 )
| ( SV132 @ SY3177 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[468]) ).
thf(532,plain,
! [SV67: mu,SV149: $i] :
( ( ( ~ ( r1 @ sK1_SY25 @ SV149 ) )
= $true )
| ( ( ~ ( good_in_maths @ SV67 @ SV149 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(533,plain,
! [SV68: mu,SV150: $i,SV1: $i] :
( ( ( ~ ( r4 @ SV1 @ SV150 ) )
= $true )
| ( ( good_in_maths @ SV68 @ SV150 )
= $true )
| ( ( maths_teacher @ SV68 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(534,plain,
! [SV2: $i,SV69: mu,SV133: $i] :
( ( ( ~ ! [SY3178: $i] :
( ~ ( r1 @ SV133 @ SY3178 )
| ( mathematician @ SV69 @ SY3178 ) ) )
= $true )
| ( ( ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(535,plain,
! [SV3: $i,SV70: mu,SV134: $i] :
( ( ( ~ ! [SY3180: $i] :
( ~ ( r2 @ SV134 @ SY3180 )
| ( mathematician @ SV70 @ SY3180 ) ) )
= $true )
| ( ( ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(536,plain,
! [SV4: $i,SV71: mu,SV135: $i] :
( ( ( ~ ! [SY3182: $i] :
( ~ ( r3 @ SV135 @ SY3182 )
| ( mathematician @ SV71 @ SY3182 ) ) )
= $true )
| ( ( ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(537,plain,
! [SV5: $i,SV72: mu,SV136: $i] :
( ( ( ~ ! [SY3184: $i] :
( ~ ( r4 @ SV136 @ SY3184 )
| ( mathematician @ SV72 @ SY3184 ) ) )
= $true )
| ( ( ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(538,plain,
! [SV6: $i,SV73: mu,SV137: $i] :
( ( ( ~ ! [SY3186: $i] :
( ~ ( r5 @ SV137 @ SY3186 )
| ( mathematician @ SV73 @ SY3186 ) ) )
= $true )
| ( ( ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(539,plain,
! [SV7: $i,SV138: $i,SV74: mu] :
( ( ( ~ ( maths_student @ SV74 @ SV138 ) )
= $true )
| ( ( ~ ! [SY3188: $i] :
( ~ ( r1 @ SV138 @ SY3188 )
| ~ ( good_in_maths @ SV74 @ SY3188 ) ) )
= $true )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(540,plain,
! [SV8: $i,SV139: $i,SV75: mu] :
( ( ( ~ ( maths_student @ SV75 @ SV139 ) )
= $true )
| ( ( ~ ! [SY3189: $i] :
( ~ ( r2 @ SV139 @ SY3189 )
| ~ ( good_in_maths @ SV75 @ SY3189 ) ) )
= $true )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[477]) ).
thf(541,plain,
! [SV9: $i,SV140: $i,SV76: mu] :
( ( ( ~ ( maths_student @ SV76 @ SV140 ) )
= $true )
| ( ( ~ ! [SY3190: $i] :
( ~ ( r3 @ SV140 @ SY3190 )
| ~ ( good_in_maths @ SV76 @ SY3190 ) ) )
= $true )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(542,plain,
! [SV10: $i,SV141: $i,SV77: mu] :
( ( ( ~ ( maths_student @ SV77 @ SV141 ) )
= $true )
| ( ( ~ ! [SY3191: $i] :
( ~ ( r4 @ SV141 @ SY3191 )
| ~ ( good_in_maths @ SV77 @ SY3191 ) ) )
= $true )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(543,plain,
! [SV11: $i,SV142: $i,SV78: mu] :
( ( ( ~ ( maths_student @ SV78 @ SV142 ) )
= $true )
| ( ( ~ ! [SY3192: $i] :
( ~ ( r5 @ SV142 @ SY3192 )
| ~ ( good_in_maths @ SV78 @ SY3192 ) ) )
= $true )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(544,plain,
! [SV12: $i,SV143: $i,SV79: mu] :
( ( ( ~ ( physics_student @ SV79 @ SV143 ) )
= $true )
| ( ( ~ ! [SY3193: $i] :
( ~ ( r1 @ SV143 @ SY3193 )
| ~ ( good_in_physics @ SV79 @ SY3193 ) ) )
= $true )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[481]) ).
thf(545,plain,
! [SV13: $i,SV144: $i,SV80: mu] :
( ( ( ~ ( physics_student @ SV80 @ SV144 ) )
= $true )
| ( ( ~ ! [SY3194: $i] :
( ~ ( r2 @ SV144 @ SY3194 )
| ~ ( good_in_physics @ SV80 @ SY3194 ) ) )
= $true )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(546,plain,
! [SV14: $i,SV145: $i,SV81: mu] :
( ( ( ~ ( physics_student @ SV81 @ SV145 ) )
= $true )
| ( ( ~ ! [SY3195: $i] :
( ~ ( r3 @ SV145 @ SY3195 )
| ~ ( good_in_physics @ SV81 @ SY3195 ) ) )
= $true )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(547,plain,
! [SV15: $i,SV146: $i,SV82: mu] :
( ( ( ~ ( physics_student @ SV82 @ SV146 ) )
= $true )
| ( ( ~ ! [SY3196: $i] :
( ~ ( r4 @ SV146 @ SY3196 )
| ~ ( good_in_physics @ SV82 @ SY3196 ) ) )
= $true )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[484]) ).
thf(548,plain,
! [SV16: $i,SV147: $i,SV83: mu] :
( ( ( ~ ( physics_student @ SV83 @ SV147 ) )
= $true )
| ( ( ~ ! [SY3197: $i] :
( ~ ( r5 @ SV147 @ SY3197 )
| ~ ( good_in_physics @ SV83 @ SY3197 ) ) )
= $true )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(549,plain,
! [SV17: $i,SV148: $i,SV84: mu] :
( ( ( ~ ( good_in_physics @ SV84 @ SV148 ) )
= $true )
| ( ( ~ ! [SY3198: $i] :
( ~ ( r2 @ SV148 @ SY3198 )
| ~ ( good_in_maths @ SV84 @ SY3198 ) ) )
= $true )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[486]) ).
thf(550,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) ) )
= $false )
| ( ( ~ ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(551,plain,
! [SV22: $i,SV88: $i > $o] :
( ( ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $false )
| ( ( ~ ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(552,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ~ ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) ) )
= $false )
| ( ( ~ ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(553,plain,
! [SV23: $i,SV89: $i > $o] :
( ( ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $false )
| ( ( ~ ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(554,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ~ ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) ) )
= $false )
| ( ( ~ ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(555,plain,
! [SV24: $i,SV90: $i > $o] :
( ( ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $false )
| ( ( ~ ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(556,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ~ ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) ) )
= $false )
| ( ( ~ ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(557,plain,
! [SV25: $i,SV91: $i > $o] :
( ( ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $false )
| ( ( ~ ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(558,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ~ ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) ) )
= $false )
| ( ( ~ ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(559,plain,
! [SV26: $i,SV92: $i > $o] :
( ( ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $false )
| ( ( ~ ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[491]) ).
thf(560,plain,
! [SV93: $i > $o,SV27: $i] :
( ( ( ~ ( r2 @ SV27 @ ( sK7_SY3068 @ SV93 @ SV27 ) ) )
= $false )
| ( ( ! [SY3069: $i] :
( ~ ( r1 @ SV27 @ SY3069 )
| ( SV93 @ SY3069 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(561,plain,
! [SV27: $i,SV93: $i > $o] :
( ( ( SV93 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $false )
| ( ( ! [SY3069: $i] :
( ~ ( r1 @ SV27 @ SY3069 )
| ( SV93 @ SY3069 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[492]) ).
thf(562,plain,
! [SV94: $i > $o,SV28: $i] :
( ( ( ~ ( r3 @ SV28 @ ( sK8_SY3070 @ SV94 @ SV28 ) ) )
= $false )
| ( ( ! [SY3071: $i] :
( ~ ( r1 @ SV28 @ SY3071 )
| ( SV94 @ SY3071 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(563,plain,
! [SV28: $i,SV94: $i > $o] :
( ( ( SV94 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $false )
| ( ( ! [SY3071: $i] :
( ~ ( r1 @ SV28 @ SY3071 )
| ( SV94 @ SY3071 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[493]) ).
thf(564,plain,
! [SV95: $i > $o,SV29: $i] :
( ( ( ~ ( r4 @ SV29 @ ( sK9_SY3072 @ SV95 @ SV29 ) ) )
= $false )
| ( ( ! [SY3073: $i] :
( ~ ( r1 @ SV29 @ SY3073 )
| ( SV95 @ SY3073 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(565,plain,
! [SV29: $i,SV95: $i > $o] :
( ( ( SV95 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $false )
| ( ( ! [SY3073: $i] :
( ~ ( r1 @ SV29 @ SY3073 )
| ( SV95 @ SY3073 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[494]) ).
thf(566,plain,
! [SV96: $i > $o,SV30: $i] :
( ( ( ~ ( r5 @ SV30 @ ( sK10_SY3074 @ SV96 @ SV30 ) ) )
= $false )
| ( ( ! [SY3075: $i] :
( ~ ( r1 @ SV30 @ SY3075 )
| ( SV96 @ SY3075 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(567,plain,
! [SV30: $i,SV96: $i > $o] :
( ( ( SV96 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $false )
| ( ( ! [SY3075: $i] :
( ~ ( r1 @ SV30 @ SY3075 )
| ( SV96 @ SY3075 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(568,plain,
! [SV97: $i > $o,SV31: $i] :
( ( ( ~ ( r3 @ SV31 @ ( sK11_SY3076 @ SV97 @ SV31 ) ) )
= $false )
| ( ( ! [SY3077: $i] :
( ~ ( r2 @ SV31 @ SY3077 )
| ( SV97 @ SY3077 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(569,plain,
! [SV31: $i,SV97: $i > $o] :
( ( ( SV97 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $false )
| ( ( ! [SY3077: $i] :
( ~ ( r2 @ SV31 @ SY3077 )
| ( SV97 @ SY3077 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(570,plain,
! [SV98: $i > $o,SV32: $i] :
( ( ( ~ ( r4 @ SV32 @ ( sK12_SY3078 @ SV98 @ SV32 ) ) )
= $false )
| ( ( ! [SY3079: $i] :
( ~ ( r2 @ SV32 @ SY3079 )
| ( SV98 @ SY3079 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(571,plain,
! [SV32: $i,SV98: $i > $o] :
( ( ( SV98 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $false )
| ( ( ! [SY3079: $i] :
( ~ ( r2 @ SV32 @ SY3079 )
| ( SV98 @ SY3079 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[497]) ).
thf(572,plain,
! [SV99: $i > $o,SV33: $i] :
( ( ( ~ ( r5 @ SV33 @ ( sK13_SY3080 @ SV99 @ SV33 ) ) )
= $false )
| ( ( ! [SY3081: $i] :
( ~ ( r2 @ SV33 @ SY3081 )
| ( SV99 @ SY3081 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(573,plain,
! [SV33: $i,SV99: $i > $o] :
( ( ( SV99 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $false )
| ( ( ! [SY3081: $i] :
( ~ ( r2 @ SV33 @ SY3081 )
| ( SV99 @ SY3081 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[498]) ).
thf(574,plain,
! [SV100: $i > $o,SV34: $i] :
( ( ( ~ ( r4 @ SV34 @ ( sK14_SY3082 @ SV100 @ SV34 ) ) )
= $false )
| ( ( ! [SY3083: $i] :
( ~ ( r3 @ SV34 @ SY3083 )
| ( SV100 @ SY3083 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(575,plain,
! [SV34: $i,SV100: $i > $o] :
( ( ( SV100 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $false )
| ( ( ! [SY3083: $i] :
( ~ ( r3 @ SV34 @ SY3083 )
| ( SV100 @ SY3083 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(576,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( ~ ( r5 @ SV35 @ ( sK15_SY3084 @ SV101 @ SV35 ) ) )
= $false )
| ( ( ! [SY3085: $i] :
( ~ ( r3 @ SV35 @ SY3085 )
| ( SV101 @ SY3085 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(577,plain,
! [SV35: $i,SV101: $i > $o] :
( ( ( SV101 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $false )
| ( ( ! [SY3085: $i] :
( ~ ( r3 @ SV35 @ SY3085 )
| ( SV101 @ SY3085 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(578,plain,
! [SV102: $i > $o,SV36: $i] :
( ( ( ~ ( r5 @ SV36 @ ( sK16_SY3086 @ SV102 @ SV36 ) ) )
= $false )
| ( ( ! [SY3087: $i] :
( ~ ( r4 @ SV36 @ SY3087 )
| ( SV102 @ SY3087 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(579,plain,
! [SV36: $i,SV102: $i > $o] :
( ( ( SV102 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $false )
| ( ( ! [SY3087: $i] :
( ~ ( r4 @ SV36 @ SY3087 )
| ( SV102 @ SY3087 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(580,plain,
! [SV103: $i > $o,SV37: $i] :
( ( ( ~ ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) ) )
= $false )
| ( ( ! [SY3089: $i] :
( ~ ( r1 @ SV37 @ SY3089 )
| ! [SY3090: $i] :
( ~ ( r1 @ SY3089 @ SY3090 )
| ( SV103 @ SY3090 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(581,plain,
! [SV37: $i,SV103: $i > $o] :
( ( ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $false )
| ( ( ! [SY3089: $i] :
( ~ ( r1 @ SV37 @ SY3089 )
| ! [SY3090: $i] :
( ~ ( r1 @ SY3089 @ SY3090 )
| ( SV103 @ SY3090 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(582,plain,
! [SV104: $i > $o,SV38: $i] :
( ( ( ~ ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) ) )
= $false )
| ( ( ! [SY3092: $i] :
( ~ ( r2 @ SV38 @ SY3092 )
| ! [SY3093: $i] :
( ~ ( r1 @ SY3092 @ SY3093 )
| ( SV104 @ SY3093 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(583,plain,
! [SV38: $i,SV104: $i > $o] :
( ( ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $false )
| ( ( ! [SY3092: $i] :
( ~ ( r2 @ SV38 @ SY3092 )
| ! [SY3093: $i] :
( ~ ( r1 @ SY3092 @ SY3093 )
| ( SV104 @ SY3093 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[503]) ).
thf(584,plain,
! [SV105: $i > $o,SV39: $i] :
( ( ( ~ ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) ) )
= $false )
| ( ( ! [SY3095: $i] :
( ~ ( r3 @ SV39 @ SY3095 )
| ! [SY3096: $i] :
( ~ ( r1 @ SY3095 @ SY3096 )
| ( SV105 @ SY3096 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(585,plain,
! [SV39: $i,SV105: $i > $o] :
( ( ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $false )
| ( ( ! [SY3095: $i] :
( ~ ( r3 @ SV39 @ SY3095 )
| ! [SY3096: $i] :
( ~ ( r1 @ SY3095 @ SY3096 )
| ( SV105 @ SY3096 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(586,plain,
! [SV106: $i > $o,SV40: $i] :
( ( ( ~ ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) ) )
= $false )
| ( ( ! [SY3098: $i] :
( ~ ( r4 @ SV40 @ SY3098 )
| ! [SY3099: $i] :
( ~ ( r1 @ SY3098 @ SY3099 )
| ( SV106 @ SY3099 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(587,plain,
! [SV40: $i,SV106: $i > $o] :
( ( ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $false )
| ( ( ! [SY3098: $i] :
( ~ ( r4 @ SV40 @ SY3098 )
| ! [SY3099: $i] :
( ~ ( r1 @ SY3098 @ SY3099 )
| ( SV106 @ SY3099 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[505]) ).
thf(588,plain,
! [SV107: $i > $o,SV41: $i] :
( ( ( ~ ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) ) )
= $false )
| ( ( ! [SY3101: $i] :
( ~ ( r5 @ SV41 @ SY3101 )
| ! [SY3102: $i] :
( ~ ( r1 @ SY3101 @ SY3102 )
| ( SV107 @ SY3102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(589,plain,
! [SV41: $i,SV107: $i > $o] :
( ( ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $false )
| ( ( ! [SY3101: $i] :
( ~ ( r5 @ SV41 @ SY3101 )
| ! [SY3102: $i] :
( ~ ( r1 @ SY3101 @ SY3102 )
| ( SV107 @ SY3102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(590,plain,
! [SV108: $i > $o,SV42: $i] :
( ( ( ~ ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) ) )
= $false )
| ( ( ! [SY3104: $i] :
( ~ ( r1 @ SV42 @ SY3104 )
| ! [SY3105: $i] :
( ~ ( r2 @ SY3104 @ SY3105 )
| ( SV108 @ SY3105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(591,plain,
! [SV42: $i,SV108: $i > $o] :
( ( ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $false )
| ( ( ! [SY3104: $i] :
( ~ ( r1 @ SV42 @ SY3104 )
| ! [SY3105: $i] :
( ~ ( r2 @ SY3104 @ SY3105 )
| ( SV108 @ SY3105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[507]) ).
thf(592,plain,
! [SV109: $i > $o,SV43: $i] :
( ( ( ~ ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) ) )
= $false )
| ( ( ! [SY3107: $i] :
( ~ ( r2 @ SV43 @ SY3107 )
| ! [SY3108: $i] :
( ~ ( r2 @ SY3107 @ SY3108 )
| ( SV109 @ SY3108 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(593,plain,
! [SV43: $i,SV109: $i > $o] :
( ( ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $false )
| ( ( ! [SY3107: $i] :
( ~ ( r2 @ SV43 @ SY3107 )
| ! [SY3108: $i] :
( ~ ( r2 @ SY3107 @ SY3108 )
| ( SV109 @ SY3108 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(594,plain,
! [SV110: $i > $o,SV44: $i] :
( ( ( ~ ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) ) )
= $false )
| ( ( ! [SY3110: $i] :
( ~ ( r3 @ SV44 @ SY3110 )
| ! [SY3111: $i] :
( ~ ( r2 @ SY3110 @ SY3111 )
| ( SV110 @ SY3111 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(595,plain,
! [SV44: $i,SV110: $i > $o] :
( ( ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $false )
| ( ( ! [SY3110: $i] :
( ~ ( r3 @ SV44 @ SY3110 )
| ! [SY3111: $i] :
( ~ ( r2 @ SY3110 @ SY3111 )
| ( SV110 @ SY3111 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[509]) ).
thf(596,plain,
! [SV111: $i > $o,SV45: $i] :
( ( ( ~ ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) ) )
= $false )
| ( ( ! [SY3113: $i] :
( ~ ( r4 @ SV45 @ SY3113 )
| ! [SY3114: $i] :
( ~ ( r2 @ SY3113 @ SY3114 )
| ( SV111 @ SY3114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(597,plain,
! [SV45: $i,SV111: $i > $o] :
( ( ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $false )
| ( ( ! [SY3113: $i] :
( ~ ( r4 @ SV45 @ SY3113 )
| ! [SY3114: $i] :
( ~ ( r2 @ SY3113 @ SY3114 )
| ( SV111 @ SY3114 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(598,plain,
! [SV112: $i > $o,SV46: $i] :
( ( ( ~ ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) ) )
= $false )
| ( ( ! [SY3116: $i] :
( ~ ( r5 @ SV46 @ SY3116 )
| ! [SY3117: $i] :
( ~ ( r2 @ SY3116 @ SY3117 )
| ( SV112 @ SY3117 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(599,plain,
! [SV46: $i,SV112: $i > $o] :
( ( ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $false )
| ( ( ! [SY3116: $i] :
( ~ ( r5 @ SV46 @ SY3116 )
| ! [SY3117: $i] :
( ~ ( r2 @ SY3116 @ SY3117 )
| ( SV112 @ SY3117 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(600,plain,
! [SV113: $i > $o,SV47: $i] :
( ( ( ~ ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) ) )
= $false )
| ( ( ! [SY3119: $i] :
( ~ ( r1 @ SV47 @ SY3119 )
| ! [SY3120: $i] :
( ~ ( r3 @ SY3119 @ SY3120 )
| ( SV113 @ SY3120 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(601,plain,
! [SV47: $i,SV113: $i > $o] :
( ( ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $false )
| ( ( ! [SY3119: $i] :
( ~ ( r1 @ SV47 @ SY3119 )
| ! [SY3120: $i] :
( ~ ( r3 @ SY3119 @ SY3120 )
| ( SV113 @ SY3120 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(602,plain,
! [SV114: $i > $o,SV48: $i] :
( ( ( ~ ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) ) )
= $false )
| ( ( ! [SY3122: $i] :
( ~ ( r2 @ SV48 @ SY3122 )
| ! [SY3123: $i] :
( ~ ( r3 @ SY3122 @ SY3123 )
| ( SV114 @ SY3123 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(603,plain,
! [SV48: $i,SV114: $i > $o] :
( ( ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $false )
| ( ( ! [SY3122: $i] :
( ~ ( r2 @ SV48 @ SY3122 )
| ! [SY3123: $i] :
( ~ ( r3 @ SY3122 @ SY3123 )
| ( SV114 @ SY3123 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(604,plain,
! [SV115: $i > $o,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) ) )
= $false )
| ( ( ! [SY3125: $i] :
( ~ ( r3 @ SV49 @ SY3125 )
| ! [SY3126: $i] :
( ~ ( r3 @ SY3125 @ SY3126 )
| ( SV115 @ SY3126 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(605,plain,
! [SV49: $i,SV115: $i > $o] :
( ( ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $false )
| ( ( ! [SY3125: $i] :
( ~ ( r3 @ SV49 @ SY3125 )
| ! [SY3126: $i] :
( ~ ( r3 @ SY3125 @ SY3126 )
| ( SV115 @ SY3126 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(606,plain,
! [SV116: $i > $o,SV50: $i] :
( ( ( ~ ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) ) )
= $false )
| ( ( ! [SY3128: $i] :
( ~ ( r4 @ SV50 @ SY3128 )
| ! [SY3129: $i] :
( ~ ( r3 @ SY3128 @ SY3129 )
| ( SV116 @ SY3129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(607,plain,
! [SV50: $i,SV116: $i > $o] :
( ( ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $false )
| ( ( ! [SY3128: $i] :
( ~ ( r4 @ SV50 @ SY3128 )
| ! [SY3129: $i] :
( ~ ( r3 @ SY3128 @ SY3129 )
| ( SV116 @ SY3129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[515]) ).
thf(608,plain,
! [SV117: $i > $o,SV51: $i] :
( ( ( ~ ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) ) )
= $false )
| ( ( ! [SY3131: $i] :
( ~ ( r5 @ SV51 @ SY3131 )
| ! [SY3132: $i] :
( ~ ( r3 @ SY3131 @ SY3132 )
| ( SV117 @ SY3132 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(609,plain,
! [SV51: $i,SV117: $i > $o] :
( ( ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $false )
| ( ( ! [SY3131: $i] :
( ~ ( r5 @ SV51 @ SY3131 )
| ! [SY3132: $i] :
( ~ ( r3 @ SY3131 @ SY3132 )
| ( SV117 @ SY3132 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[516]) ).
thf(610,plain,
! [SV118: $i > $o,SV52: $i] :
( ( ( ~ ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) ) )
= $false )
| ( ( ! [SY3134: $i] :
( ~ ( r1 @ SV52 @ SY3134 )
| ! [SY3135: $i] :
( ~ ( r4 @ SY3134 @ SY3135 )
| ( SV118 @ SY3135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(611,plain,
! [SV52: $i,SV118: $i > $o] :
( ( ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $false )
| ( ( ! [SY3134: $i] :
( ~ ( r1 @ SV52 @ SY3134 )
| ! [SY3135: $i] :
( ~ ( r4 @ SY3134 @ SY3135 )
| ( SV118 @ SY3135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[517]) ).
thf(612,plain,
! [SV119: $i > $o,SV53: $i] :
( ( ( ~ ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) ) )
= $false )
| ( ( ! [SY3137: $i] :
( ~ ( r2 @ SV53 @ SY3137 )
| ! [SY3138: $i] :
( ~ ( r4 @ SY3137 @ SY3138 )
| ( SV119 @ SY3138 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(613,plain,
! [SV53: $i,SV119: $i > $o] :
( ( ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $false )
| ( ( ! [SY3137: $i] :
( ~ ( r2 @ SV53 @ SY3137 )
| ! [SY3138: $i] :
( ~ ( r4 @ SY3137 @ SY3138 )
| ( SV119 @ SY3138 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[518]) ).
thf(614,plain,
! [SV120: $i > $o,SV54: $i] :
( ( ( ~ ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) ) )
= $false )
| ( ( ! [SY3140: $i] :
( ~ ( r3 @ SV54 @ SY3140 )
| ! [SY3141: $i] :
( ~ ( r4 @ SY3140 @ SY3141 )
| ( SV120 @ SY3141 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(615,plain,
! [SV54: $i,SV120: $i > $o] :
( ( ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $false )
| ( ( ! [SY3140: $i] :
( ~ ( r3 @ SV54 @ SY3140 )
| ! [SY3141: $i] :
( ~ ( r4 @ SY3140 @ SY3141 )
| ( SV120 @ SY3141 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[519]) ).
thf(616,plain,
! [SV121: $i > $o,SV55: $i] :
( ( ( ~ ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) ) )
= $false )
| ( ( ! [SY3143: $i] :
( ~ ( r4 @ SV55 @ SY3143 )
| ! [SY3144: $i] :
( ~ ( r4 @ SY3143 @ SY3144 )
| ( SV121 @ SY3144 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(617,plain,
! [SV55: $i,SV121: $i > $o] :
( ( ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $false )
| ( ( ! [SY3143: $i] :
( ~ ( r4 @ SV55 @ SY3143 )
| ! [SY3144: $i] :
( ~ ( r4 @ SY3143 @ SY3144 )
| ( SV121 @ SY3144 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(618,plain,
! [SV122: $i > $o,SV56: $i] :
( ( ( ~ ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) ) )
= $false )
| ( ( ! [SY3146: $i] :
( ~ ( r5 @ SV56 @ SY3146 )
| ! [SY3147: $i] :
( ~ ( r4 @ SY3146 @ SY3147 )
| ( SV122 @ SY3147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(619,plain,
! [SV56: $i,SV122: $i > $o] :
( ( ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $false )
| ( ( ! [SY3146: $i] :
( ~ ( r5 @ SV56 @ SY3146 )
| ! [SY3147: $i] :
( ~ ( r4 @ SY3146 @ SY3147 )
| ( SV122 @ SY3147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(620,plain,
! [SV123: $i > $o,SV57: $i] :
( ( ( ~ ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) ) )
= $false )
| ( ( ! [SY3149: $i] :
( ~ ( r1 @ SV57 @ SY3149 )
| ! [SY3150: $i] :
( ~ ( r5 @ SY3149 @ SY3150 )
| ( SV123 @ SY3150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(621,plain,
! [SV57: $i,SV123: $i > $o] :
( ( ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $false )
| ( ( ! [SY3149: $i] :
( ~ ( r1 @ SV57 @ SY3149 )
| ! [SY3150: $i] :
( ~ ( r5 @ SY3149 @ SY3150 )
| ( SV123 @ SY3150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(622,plain,
! [SV124: $i > $o,SV58: $i] :
( ( ( ~ ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) ) )
= $false )
| ( ( ! [SY3152: $i] :
( ~ ( r2 @ SV58 @ SY3152 )
| ! [SY3153: $i] :
( ~ ( r5 @ SY3152 @ SY3153 )
| ( SV124 @ SY3153 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(623,plain,
! [SV58: $i,SV124: $i > $o] :
( ( ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $false )
| ( ( ! [SY3152: $i] :
( ~ ( r2 @ SV58 @ SY3152 )
| ! [SY3153: $i] :
( ~ ( r5 @ SY3152 @ SY3153 )
| ( SV124 @ SY3153 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[523]) ).
thf(624,plain,
! [SV125: $i > $o,SV59: $i] :
( ( ( ~ ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) ) )
= $false )
| ( ( ! [SY3155: $i] :
( ~ ( r3 @ SV59 @ SY3155 )
| ! [SY3156: $i] :
( ~ ( r5 @ SY3155 @ SY3156 )
| ( SV125 @ SY3156 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(625,plain,
! [SV59: $i,SV125: $i > $o] :
( ( ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $false )
| ( ( ! [SY3155: $i] :
( ~ ( r3 @ SV59 @ SY3155 )
| ! [SY3156: $i] :
( ~ ( r5 @ SY3155 @ SY3156 )
| ( SV125 @ SY3156 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(626,plain,
! [SV126: $i > $o,SV60: $i] :
( ( ( ~ ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) ) )
= $false )
| ( ( ! [SY3158: $i] :
( ~ ( r4 @ SV60 @ SY3158 )
| ! [SY3159: $i] :
( ~ ( r5 @ SY3158 @ SY3159 )
| ( SV126 @ SY3159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(627,plain,
! [SV60: $i,SV126: $i > $o] :
( ( ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $false )
| ( ( ! [SY3158: $i] :
( ~ ( r4 @ SV60 @ SY3158 )
| ! [SY3159: $i] :
( ~ ( r5 @ SY3158 @ SY3159 )
| ( SV126 @ SY3159 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(628,plain,
! [SV127: $i > $o,SV61: $i] :
( ( ( ~ ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) ) )
= $false )
| ( ( ! [SY3161: $i] :
( ~ ( r5 @ SV61 @ SY3161 )
| ! [SY3162: $i] :
( ~ ( r5 @ SY3161 @ SY3162 )
| ( SV127 @ SY3162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(629,plain,
! [SV61: $i,SV127: $i > $o] :
( ( ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $false )
| ( ( ! [SY3161: $i] :
( ~ ( r5 @ SV61 @ SY3161 )
| ! [SY3162: $i] :
( ~ ( r5 @ SY3161 @ SY3162 )
| ( SV127 @ SY3162 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(630,plain,
! [SV128: $i > $o,SV151: $i,SV62: $i] :
( ( ( ~ ( r1 @ SV62 @ SV151 )
| ( SV128 @ SV151 ) )
= $true )
| ( ( ! [SY3164: $i] :
( ~ ( r1 @ SV62 @ SY3164 )
| ~ ! [SY3165: $i] :
( ~ ( r1 @ SY3164 @ SY3165 )
| ( SV128 @ SY3165 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(631,plain,
! [SV129: $i > $o,SV152: $i,SV63: $i] :
( ( ( ~ ( r2 @ SV63 @ SV152 )
| ( SV129 @ SV152 ) )
= $true )
| ( ( ! [SY3167: $i] :
( ~ ( r2 @ SV63 @ SY3167 )
| ~ ! [SY3168: $i] :
( ~ ( r2 @ SY3167 @ SY3168 )
| ( SV129 @ SY3168 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(632,plain,
! [SV130: $i > $o,SV153: $i,SV64: $i] :
( ( ( ~ ( r3 @ SV64 @ SV153 )
| ( SV130 @ SV153 ) )
= $true )
| ( ( ! [SY3170: $i] :
( ~ ( r3 @ SV64 @ SY3170 )
| ~ ! [SY3171: $i] :
( ~ ( r3 @ SY3170 @ SY3171 )
| ( SV130 @ SY3171 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(633,plain,
! [SV131: $i > $o,SV154: $i,SV65: $i] :
( ( ( ~ ( r4 @ SV65 @ SV154 )
| ( SV131 @ SV154 ) )
= $true )
| ( ( ! [SY3173: $i] :
( ~ ( r4 @ SV65 @ SY3173 )
| ~ ! [SY3174: $i] :
( ~ ( r4 @ SY3173 @ SY3174 )
| ( SV131 @ SY3174 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(634,plain,
! [SV132: $i > $o,SV155: $i,SV66: $i] :
( ( ( ~ ( r5 @ SV66 @ SV155 )
| ( SV132 @ SV155 ) )
= $true )
| ( ( ! [SY3176: $i] :
( ~ ( r5 @ SV66 @ SY3176 )
| ~ ! [SY3177: $i] :
( ~ ( r5 @ SY3176 @ SY3177 )
| ( SV132 @ SY3177 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(635,plain,
! [SV67: mu,SV149: $i] :
( ( ( r1 @ sK1_SY25 @ SV149 )
= $false )
| ( ( ~ ( good_in_maths @ SV67 @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(636,plain,
! [SV68: mu,SV150: $i,SV1: $i] :
( ( ( r4 @ SV1 @ SV150 )
= $false )
| ( ( good_in_maths @ SV68 @ SV150 )
= $true )
| ( ( maths_teacher @ SV68 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(637,plain,
! [SV2: $i,SV69: mu,SV133: $i] :
( ( ( ! [SY3178: $i] :
( ~ ( r1 @ SV133 @ SY3178 )
| ( mathematician @ SV69 @ SY3178 ) ) )
= $false )
| ( ( ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(638,plain,
! [SV3: $i,SV70: mu,SV134: $i] :
( ( ( ! [SY3180: $i] :
( ~ ( r2 @ SV134 @ SY3180 )
| ( mathematician @ SV70 @ SY3180 ) ) )
= $false )
| ( ( ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(639,plain,
! [SV4: $i,SV71: mu,SV135: $i] :
( ( ( ! [SY3182: $i] :
( ~ ( r3 @ SV135 @ SY3182 )
| ( mathematician @ SV71 @ SY3182 ) ) )
= $false )
| ( ( ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(640,plain,
! [SV5: $i,SV72: mu,SV136: $i] :
( ( ( ! [SY3184: $i] :
( ~ ( r4 @ SV136 @ SY3184 )
| ( mathematician @ SV72 @ SY3184 ) ) )
= $false )
| ( ( ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(641,plain,
! [SV6: $i,SV73: mu,SV137: $i] :
( ( ( ! [SY3186: $i] :
( ~ ( r5 @ SV137 @ SY3186 )
| ( mathematician @ SV73 @ SY3186 ) ) )
= $false )
| ( ( ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(642,plain,
! [SV7: $i,SV138: $i,SV74: mu] :
( ( ( maths_student @ SV74 @ SV138 )
= $false )
| ( ( ~ ! [SY3188: $i] :
( ~ ( r1 @ SV138 @ SY3188 )
| ~ ( good_in_maths @ SV74 @ SY3188 ) ) )
= $true )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(643,plain,
! [SV8: $i,SV139: $i,SV75: mu] :
( ( ( maths_student @ SV75 @ SV139 )
= $false )
| ( ( ~ ! [SY3189: $i] :
( ~ ( r2 @ SV139 @ SY3189 )
| ~ ( good_in_maths @ SV75 @ SY3189 ) ) )
= $true )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(644,plain,
! [SV9: $i,SV140: $i,SV76: mu] :
( ( ( maths_student @ SV76 @ SV140 )
= $false )
| ( ( ~ ! [SY3190: $i] :
( ~ ( r3 @ SV140 @ SY3190 )
| ~ ( good_in_maths @ SV76 @ SY3190 ) ) )
= $true )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(645,plain,
! [SV10: $i,SV141: $i,SV77: mu] :
( ( ( maths_student @ SV77 @ SV141 )
= $false )
| ( ( ~ ! [SY3191: $i] :
( ~ ( r4 @ SV141 @ SY3191 )
| ~ ( good_in_maths @ SV77 @ SY3191 ) ) )
= $true )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[542]) ).
thf(646,plain,
! [SV11: $i,SV142: $i,SV78: mu] :
( ( ( maths_student @ SV78 @ SV142 )
= $false )
| ( ( ~ ! [SY3192: $i] :
( ~ ( r5 @ SV142 @ SY3192 )
| ~ ( good_in_maths @ SV78 @ SY3192 ) ) )
= $true )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(647,plain,
! [SV12: $i,SV143: $i,SV79: mu] :
( ( ( physics_student @ SV79 @ SV143 )
= $false )
| ( ( ~ ! [SY3193: $i] :
( ~ ( r1 @ SV143 @ SY3193 )
| ~ ( good_in_physics @ SV79 @ SY3193 ) ) )
= $true )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(648,plain,
! [SV13: $i,SV144: $i,SV80: mu] :
( ( ( physics_student @ SV80 @ SV144 )
= $false )
| ( ( ~ ! [SY3194: $i] :
( ~ ( r2 @ SV144 @ SY3194 )
| ~ ( good_in_physics @ SV80 @ SY3194 ) ) )
= $true )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(649,plain,
! [SV14: $i,SV145: $i,SV81: mu] :
( ( ( physics_student @ SV81 @ SV145 )
= $false )
| ( ( ~ ! [SY3195: $i] :
( ~ ( r3 @ SV145 @ SY3195 )
| ~ ( good_in_physics @ SV81 @ SY3195 ) ) )
= $true )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(650,plain,
! [SV15: $i,SV146: $i,SV82: mu] :
( ( ( physics_student @ SV82 @ SV146 )
= $false )
| ( ( ~ ! [SY3196: $i] :
( ~ ( r4 @ SV146 @ SY3196 )
| ~ ( good_in_physics @ SV82 @ SY3196 ) ) )
= $true )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(651,plain,
! [SV16: $i,SV147: $i,SV83: mu] :
( ( ( physics_student @ SV83 @ SV147 )
= $false )
| ( ( ~ ! [SY3197: $i] :
( ~ ( r5 @ SV147 @ SY3197 )
| ~ ( good_in_physics @ SV83 @ SY3197 ) ) )
= $true )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(652,plain,
! [SV17: $i,SV148: $i,SV84: mu] :
( ( ( good_in_physics @ SV84 @ SV148 )
= $false )
| ( ( ~ ! [SY3198: $i] :
( ~ ( r2 @ SV148 @ SY3198 )
| ~ ( good_in_maths @ SV84 @ SY3198 ) ) )
= $true )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(653,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $true )
| ( ( ~ ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(654,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $false )
| ( ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(655,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $true )
| ( ( ~ ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(656,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $false )
| ( ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(657,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $true )
| ( ( ~ ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(658,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $false )
| ( ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(659,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $true )
| ( ( ~ ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(660,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $false )
| ( ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(661,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $true )
| ( ( ~ ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(662,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $false )
| ( ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(663,plain,
! [SV93: $i > $o,SV27: $i] :
( ( ( r2 @ SV27 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $true )
| ( ( ! [SY3069: $i] :
( ~ ( r1 @ SV27 @ SY3069 )
| ( SV93 @ SY3069 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(664,plain,
! [SV93: $i > $o,SV156: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV156 )
| ( SV93 @ SV156 ) )
= $true )
| ( ( SV93 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(665,plain,
! [SV94: $i > $o,SV28: $i] :
( ( ( r3 @ SV28 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $true )
| ( ( ! [SY3071: $i] :
( ~ ( r1 @ SV28 @ SY3071 )
| ( SV94 @ SY3071 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(666,plain,
! [SV94: $i > $o,SV157: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV157 )
| ( SV94 @ SV157 ) )
= $true )
| ( ( SV94 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(667,plain,
! [SV95: $i > $o,SV29: $i] :
( ( ( r4 @ SV29 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $true )
| ( ( ! [SY3073: $i] :
( ~ ( r1 @ SV29 @ SY3073 )
| ( SV95 @ SY3073 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(668,plain,
! [SV95: $i > $o,SV158: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV158 )
| ( SV95 @ SV158 ) )
= $true )
| ( ( SV95 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(669,plain,
! [SV96: $i > $o,SV30: $i] :
( ( ( r5 @ SV30 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $true )
| ( ( ! [SY3075: $i] :
( ~ ( r1 @ SV30 @ SY3075 )
| ( SV96 @ SY3075 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(670,plain,
! [SV96: $i > $o,SV159: $i,SV30: $i] :
( ( ( ~ ( r1 @ SV30 @ SV159 )
| ( SV96 @ SV159 ) )
= $true )
| ( ( SV96 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(671,plain,
! [SV97: $i > $o,SV31: $i] :
( ( ( r3 @ SV31 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $true )
| ( ( ! [SY3077: $i] :
( ~ ( r2 @ SV31 @ SY3077 )
| ( SV97 @ SY3077 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(672,plain,
! [SV97: $i > $o,SV160: $i,SV31: $i] :
( ( ( ~ ( r2 @ SV31 @ SV160 )
| ( SV97 @ SV160 ) )
= $true )
| ( ( SV97 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(673,plain,
! [SV98: $i > $o,SV32: $i] :
( ( ( r4 @ SV32 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $true )
| ( ( ! [SY3079: $i] :
( ~ ( r2 @ SV32 @ SY3079 )
| ( SV98 @ SY3079 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(674,plain,
! [SV98: $i > $o,SV161: $i,SV32: $i] :
( ( ( ~ ( r2 @ SV32 @ SV161 )
| ( SV98 @ SV161 ) )
= $true )
| ( ( SV98 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(675,plain,
! [SV99: $i > $o,SV33: $i] :
( ( ( r5 @ SV33 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $true )
| ( ( ! [SY3081: $i] :
( ~ ( r2 @ SV33 @ SY3081 )
| ( SV99 @ SY3081 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(676,plain,
! [SV99: $i > $o,SV162: $i,SV33: $i] :
( ( ( ~ ( r2 @ SV33 @ SV162 )
| ( SV99 @ SV162 ) )
= $true )
| ( ( SV99 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(677,plain,
! [SV100: $i > $o,SV34: $i] :
( ( ( r4 @ SV34 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $true )
| ( ( ! [SY3083: $i] :
( ~ ( r3 @ SV34 @ SY3083 )
| ( SV100 @ SY3083 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(678,plain,
! [SV100: $i > $o,SV163: $i,SV34: $i] :
( ( ( ~ ( r3 @ SV34 @ SV163 )
| ( SV100 @ SV163 ) )
= $true )
| ( ( SV100 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(679,plain,
! [SV101: $i > $o,SV35: $i] :
( ( ( r5 @ SV35 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $true )
| ( ( ! [SY3085: $i] :
( ~ ( r3 @ SV35 @ SY3085 )
| ( SV101 @ SY3085 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[576]) ).
thf(680,plain,
! [SV101: $i > $o,SV164: $i,SV35: $i] :
( ( ( ~ ( r3 @ SV35 @ SV164 )
| ( SV101 @ SV164 ) )
= $true )
| ( ( SV101 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(681,plain,
! [SV102: $i > $o,SV36: $i] :
( ( ( r5 @ SV36 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $true )
| ( ( ! [SY3087: $i] :
( ~ ( r4 @ SV36 @ SY3087 )
| ( SV102 @ SY3087 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(682,plain,
! [SV102: $i > $o,SV165: $i,SV36: $i] :
( ( ( ~ ( r4 @ SV36 @ SV165 )
| ( SV102 @ SV165 ) )
= $true )
| ( ( SV102 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(683,plain,
! [SV103: $i > $o,SV37: $i] :
( ( ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $true )
| ( ( ! [SY3089: $i] :
( ~ ( r1 @ SV37 @ SY3089 )
| ! [SY3090: $i] :
( ~ ( r1 @ SY3089 @ SY3090 )
| ( SV103 @ SY3090 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[580]) ).
thf(684,plain,
! [SV103: $i > $o,SV166: $i,SV37: $i] :
( ( ( ~ ( r1 @ SV37 @ SV166 )
| ! [SY3199: $i] :
( ~ ( r1 @ SV166 @ SY3199 )
| ( SV103 @ SY3199 ) ) )
= $true )
| ( ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(685,plain,
! [SV104: $i > $o,SV38: $i] :
( ( ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $true )
| ( ( ! [SY3092: $i] :
( ~ ( r2 @ SV38 @ SY3092 )
| ! [SY3093: $i] :
( ~ ( r1 @ SY3092 @ SY3093 )
| ( SV104 @ SY3093 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(686,plain,
! [SV104: $i > $o,SV167: $i,SV38: $i] :
( ( ( ~ ( r2 @ SV38 @ SV167 )
| ! [SY3200: $i] :
( ~ ( r1 @ SV167 @ SY3200 )
| ( SV104 @ SY3200 ) ) )
= $true )
| ( ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(687,plain,
! [SV105: $i > $o,SV39: $i] :
( ( ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $true )
| ( ( ! [SY3095: $i] :
( ~ ( r3 @ SV39 @ SY3095 )
| ! [SY3096: $i] :
( ~ ( r1 @ SY3095 @ SY3096 )
| ( SV105 @ SY3096 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(688,plain,
! [SV105: $i > $o,SV168: $i,SV39: $i] :
( ( ( ~ ( r3 @ SV39 @ SV168 )
| ! [SY3201: $i] :
( ~ ( r1 @ SV168 @ SY3201 )
| ( SV105 @ SY3201 ) ) )
= $true )
| ( ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(689,plain,
! [SV106: $i > $o,SV40: $i] :
( ( ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $true )
| ( ( ! [SY3098: $i] :
( ~ ( r4 @ SV40 @ SY3098 )
| ! [SY3099: $i] :
( ~ ( r1 @ SY3098 @ SY3099 )
| ( SV106 @ SY3099 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(690,plain,
! [SV106: $i > $o,SV169: $i,SV40: $i] :
( ( ( ~ ( r4 @ SV40 @ SV169 )
| ! [SY3202: $i] :
( ~ ( r1 @ SV169 @ SY3202 )
| ( SV106 @ SY3202 ) ) )
= $true )
| ( ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(691,plain,
! [SV107: $i > $o,SV41: $i] :
( ( ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $true )
| ( ( ! [SY3101: $i] :
( ~ ( r5 @ SV41 @ SY3101 )
| ! [SY3102: $i] :
( ~ ( r1 @ SY3101 @ SY3102 )
| ( SV107 @ SY3102 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(692,plain,
! [SV107: $i > $o,SV170: $i,SV41: $i] :
( ( ( ~ ( r5 @ SV41 @ SV170 )
| ! [SY3203: $i] :
( ~ ( r1 @ SV170 @ SY3203 )
| ( SV107 @ SY3203 ) ) )
= $true )
| ( ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(693,plain,
! [SV108: $i > $o,SV42: $i] :
( ( ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $true )
| ( ( ! [SY3104: $i] :
( ~ ( r1 @ SV42 @ SY3104 )
| ! [SY3105: $i] :
( ~ ( r2 @ SY3104 @ SY3105 )
| ( SV108 @ SY3105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(694,plain,
! [SV108: $i > $o,SV171: $i,SV42: $i] :
( ( ( ~ ( r1 @ SV42 @ SV171 )
| ! [SY3204: $i] :
( ~ ( r2 @ SV171 @ SY3204 )
| ( SV108 @ SY3204 ) ) )
= $true )
| ( ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(695,plain,
! [SV109: $i > $o,SV43: $i] :
( ( ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $true )
| ( ( ! [SY3107: $i] :
( ~ ( r2 @ SV43 @ SY3107 )
| ! [SY3108: $i] :
( ~ ( r2 @ SY3107 @ SY3108 )
| ( SV109 @ SY3108 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(696,plain,
! [SV109: $i > $o,SV172: $i,SV43: $i] :
( ( ( ~ ( r2 @ SV43 @ SV172 )
| ! [SY3205: $i] :
( ~ ( r2 @ SV172 @ SY3205 )
| ( SV109 @ SY3205 ) ) )
= $true )
| ( ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(697,plain,
! [SV110: $i > $o,SV44: $i] :
( ( ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $true )
| ( ( ! [SY3110: $i] :
( ~ ( r3 @ SV44 @ SY3110 )
| ! [SY3111: $i] :
( ~ ( r2 @ SY3110 @ SY3111 )
| ( SV110 @ SY3111 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(698,plain,
! [SV110: $i > $o,SV173: $i,SV44: $i] :
( ( ( ~ ( r3 @ SV44 @ SV173 )
| ! [SY3206: $i] :
( ~ ( r2 @ SV173 @ SY3206 )
| ( SV110 @ SY3206 ) ) )
= $true )
| ( ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(699,plain,
! [SV111: $i > $o,SV45: $i] :
( ( ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $true )
| ( ( ! [SY3113: $i] :
( ~ ( r4 @ SV45 @ SY3113 )
| ! [SY3114: $i] :
( ~ ( r2 @ SY3113 @ SY3114 )
| ( SV111 @ SY3114 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[596]) ).
thf(700,plain,
! [SV111: $i > $o,SV174: $i,SV45: $i] :
( ( ( ~ ( r4 @ SV45 @ SV174 )
| ! [SY3207: $i] :
( ~ ( r2 @ SV174 @ SY3207 )
| ( SV111 @ SY3207 ) ) )
= $true )
| ( ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(701,plain,
! [SV112: $i > $o,SV46: $i] :
( ( ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $true )
| ( ( ! [SY3116: $i] :
( ~ ( r5 @ SV46 @ SY3116 )
| ! [SY3117: $i] :
( ~ ( r2 @ SY3116 @ SY3117 )
| ( SV112 @ SY3117 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(702,plain,
! [SV112: $i > $o,SV175: $i,SV46: $i] :
( ( ( ~ ( r5 @ SV46 @ SV175 )
| ! [SY3208: $i] :
( ~ ( r2 @ SV175 @ SY3208 )
| ( SV112 @ SY3208 ) ) )
= $true )
| ( ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(703,plain,
! [SV113: $i > $o,SV47: $i] :
( ( ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $true )
| ( ( ! [SY3119: $i] :
( ~ ( r1 @ SV47 @ SY3119 )
| ! [SY3120: $i] :
( ~ ( r3 @ SY3119 @ SY3120 )
| ( SV113 @ SY3120 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[600]) ).
thf(704,plain,
! [SV113: $i > $o,SV176: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ SV176 )
| ! [SY3209: $i] :
( ~ ( r3 @ SV176 @ SY3209 )
| ( SV113 @ SY3209 ) ) )
= $true )
| ( ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(705,plain,
! [SV114: $i > $o,SV48: $i] :
( ( ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $true )
| ( ( ! [SY3122: $i] :
( ~ ( r2 @ SV48 @ SY3122 )
| ! [SY3123: $i] :
( ~ ( r3 @ SY3122 @ SY3123 )
| ( SV114 @ SY3123 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(706,plain,
! [SV114: $i > $o,SV177: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ SV177 )
| ! [SY3210: $i] :
( ~ ( r3 @ SV177 @ SY3210 )
| ( SV114 @ SY3210 ) ) )
= $true )
| ( ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(707,plain,
! [SV115: $i > $o,SV49: $i] :
( ( ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $true )
| ( ( ! [SY3125: $i] :
( ~ ( r3 @ SV49 @ SY3125 )
| ! [SY3126: $i] :
( ~ ( r3 @ SY3125 @ SY3126 )
| ( SV115 @ SY3126 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(708,plain,
! [SV115: $i > $o,SV178: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ SV178 )
| ! [SY3211: $i] :
( ~ ( r3 @ SV178 @ SY3211 )
| ( SV115 @ SY3211 ) ) )
= $true )
| ( ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(709,plain,
! [SV116: $i > $o,SV50: $i] :
( ( ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $true )
| ( ( ! [SY3128: $i] :
( ~ ( r4 @ SV50 @ SY3128 )
| ! [SY3129: $i] :
( ~ ( r3 @ SY3128 @ SY3129 )
| ( SV116 @ SY3129 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(710,plain,
! [SV116: $i > $o,SV179: $i,SV50: $i] :
( ( ( ~ ( r4 @ SV50 @ SV179 )
| ! [SY3212: $i] :
( ~ ( r3 @ SV179 @ SY3212 )
| ( SV116 @ SY3212 ) ) )
= $true )
| ( ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(711,plain,
! [SV117: $i > $o,SV51: $i] :
( ( ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $true )
| ( ( ! [SY3131: $i] :
( ~ ( r5 @ SV51 @ SY3131 )
| ! [SY3132: $i] :
( ~ ( r3 @ SY3131 @ SY3132 )
| ( SV117 @ SY3132 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(712,plain,
! [SV117: $i > $o,SV180: $i,SV51: $i] :
( ( ( ~ ( r5 @ SV51 @ SV180 )
| ! [SY3213: $i] :
( ~ ( r3 @ SV180 @ SY3213 )
| ( SV117 @ SY3213 ) ) )
= $true )
| ( ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(713,plain,
! [SV118: $i > $o,SV52: $i] :
( ( ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $true )
| ( ( ! [SY3134: $i] :
( ~ ( r1 @ SV52 @ SY3134 )
| ! [SY3135: $i] :
( ~ ( r4 @ SY3134 @ SY3135 )
| ( SV118 @ SY3135 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(714,plain,
! [SV118: $i > $o,SV181: $i,SV52: $i] :
( ( ( ~ ( r1 @ SV52 @ SV181 )
| ! [SY3214: $i] :
( ~ ( r4 @ SV181 @ SY3214 )
| ( SV118 @ SY3214 ) ) )
= $true )
| ( ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(715,plain,
! [SV119: $i > $o,SV53: $i] :
( ( ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $true )
| ( ( ! [SY3137: $i] :
( ~ ( r2 @ SV53 @ SY3137 )
| ! [SY3138: $i] :
( ~ ( r4 @ SY3137 @ SY3138 )
| ( SV119 @ SY3138 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(716,plain,
! [SV119: $i > $o,SV182: $i,SV53: $i] :
( ( ( ~ ( r2 @ SV53 @ SV182 )
| ! [SY3215: $i] :
( ~ ( r4 @ SV182 @ SY3215 )
| ( SV119 @ SY3215 ) ) )
= $true )
| ( ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(717,plain,
! [SV120: $i > $o,SV54: $i] :
( ( ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $true )
| ( ( ! [SY3140: $i] :
( ~ ( r3 @ SV54 @ SY3140 )
| ! [SY3141: $i] :
( ~ ( r4 @ SY3140 @ SY3141 )
| ( SV120 @ SY3141 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(718,plain,
! [SV120: $i > $o,SV183: $i,SV54: $i] :
( ( ( ~ ( r3 @ SV54 @ SV183 )
| ! [SY3216: $i] :
( ~ ( r4 @ SV183 @ SY3216 )
| ( SV120 @ SY3216 ) ) )
= $true )
| ( ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(719,plain,
! [SV121: $i > $o,SV55: $i] :
( ( ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $true )
| ( ( ! [SY3143: $i] :
( ~ ( r4 @ SV55 @ SY3143 )
| ! [SY3144: $i] :
( ~ ( r4 @ SY3143 @ SY3144 )
| ( SV121 @ SY3144 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(720,plain,
! [SV121: $i > $o,SV184: $i,SV55: $i] :
( ( ( ~ ( r4 @ SV55 @ SV184 )
| ! [SY3217: $i] :
( ~ ( r4 @ SV184 @ SY3217 )
| ( SV121 @ SY3217 ) ) )
= $true )
| ( ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(721,plain,
! [SV122: $i > $o,SV56: $i] :
( ( ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $true )
| ( ( ! [SY3146: $i] :
( ~ ( r5 @ SV56 @ SY3146 )
| ! [SY3147: $i] :
( ~ ( r4 @ SY3146 @ SY3147 )
| ( SV122 @ SY3147 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[618]) ).
thf(722,plain,
! [SV122: $i > $o,SV185: $i,SV56: $i] :
( ( ( ~ ( r5 @ SV56 @ SV185 )
| ! [SY3218: $i] :
( ~ ( r4 @ SV185 @ SY3218 )
| ( SV122 @ SY3218 ) ) )
= $true )
| ( ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(723,plain,
! [SV123: $i > $o,SV57: $i] :
( ( ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $true )
| ( ( ! [SY3149: $i] :
( ~ ( r1 @ SV57 @ SY3149 )
| ! [SY3150: $i] :
( ~ ( r5 @ SY3149 @ SY3150 )
| ( SV123 @ SY3150 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(724,plain,
! [SV123: $i > $o,SV186: $i,SV57: $i] :
( ( ( ~ ( r1 @ SV57 @ SV186 )
| ! [SY3219: $i] :
( ~ ( r5 @ SV186 @ SY3219 )
| ( SV123 @ SY3219 ) ) )
= $true )
| ( ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(725,plain,
! [SV124: $i > $o,SV58: $i] :
( ( ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $true )
| ( ( ! [SY3152: $i] :
( ~ ( r2 @ SV58 @ SY3152 )
| ! [SY3153: $i] :
( ~ ( r5 @ SY3152 @ SY3153 )
| ( SV124 @ SY3153 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(726,plain,
! [SV124: $i > $o,SV187: $i,SV58: $i] :
( ( ( ~ ( r2 @ SV58 @ SV187 )
| ! [SY3220: $i] :
( ~ ( r5 @ SV187 @ SY3220 )
| ( SV124 @ SY3220 ) ) )
= $true )
| ( ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(727,plain,
! [SV125: $i > $o,SV59: $i] :
( ( ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $true )
| ( ( ! [SY3155: $i] :
( ~ ( r3 @ SV59 @ SY3155 )
| ! [SY3156: $i] :
( ~ ( r5 @ SY3155 @ SY3156 )
| ( SV125 @ SY3156 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(728,plain,
! [SV125: $i > $o,SV188: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV188 )
| ! [SY3221: $i] :
( ~ ( r5 @ SV188 @ SY3221 )
| ( SV125 @ SY3221 ) ) )
= $true )
| ( ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(729,plain,
! [SV126: $i > $o,SV60: $i] :
( ( ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $true )
| ( ( ! [SY3158: $i] :
( ~ ( r4 @ SV60 @ SY3158 )
| ! [SY3159: $i] :
( ~ ( r5 @ SY3158 @ SY3159 )
| ( SV126 @ SY3159 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(730,plain,
! [SV126: $i > $o,SV189: $i,SV60: $i] :
( ( ( ~ ( r4 @ SV60 @ SV189 )
| ! [SY3222: $i] :
( ~ ( r5 @ SV189 @ SY3222 )
| ( SV126 @ SY3222 ) ) )
= $true )
| ( ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(731,plain,
! [SV127: $i > $o,SV61: $i] :
( ( ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $true )
| ( ( ! [SY3161: $i] :
( ~ ( r5 @ SV61 @ SY3161 )
| ! [SY3162: $i] :
( ~ ( r5 @ SY3161 @ SY3162 )
| ( SV127 @ SY3162 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(732,plain,
! [SV127: $i > $o,SV190: $i,SV61: $i] :
( ( ( ~ ( r5 @ SV61 @ SV190 )
| ! [SY3223: $i] :
( ~ ( r5 @ SV190 @ SY3223 )
| ( SV127 @ SY3223 ) ) )
= $true )
| ( ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(733,plain,
! [SV128: $i > $o,SV151: $i,SV62: $i] :
( ( ( ~ ( r1 @ SV62 @ SV151 ) )
= $true )
| ( ( SV128 @ SV151 )
= $true )
| ( ( ! [SY3164: $i] :
( ~ ( r1 @ SV62 @ SY3164 )
| ~ ! [SY3165: $i] :
( ~ ( r1 @ SY3164 @ SY3165 )
| ( SV128 @ SY3165 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[630]) ).
thf(734,plain,
! [SV129: $i > $o,SV152: $i,SV63: $i] :
( ( ( ~ ( r2 @ SV63 @ SV152 ) )
= $true )
| ( ( SV129 @ SV152 )
= $true )
| ( ( ! [SY3167: $i] :
( ~ ( r2 @ SV63 @ SY3167 )
| ~ ! [SY3168: $i] :
( ~ ( r2 @ SY3167 @ SY3168 )
| ( SV129 @ SY3168 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(735,plain,
! [SV130: $i > $o,SV153: $i,SV64: $i] :
( ( ( ~ ( r3 @ SV64 @ SV153 ) )
= $true )
| ( ( SV130 @ SV153 )
= $true )
| ( ( ! [SY3170: $i] :
( ~ ( r3 @ SV64 @ SY3170 )
| ~ ! [SY3171: $i] :
( ~ ( r3 @ SY3170 @ SY3171 )
| ( SV130 @ SY3171 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(736,plain,
! [SV131: $i > $o,SV154: $i,SV65: $i] :
( ( ( ~ ( r4 @ SV65 @ SV154 ) )
= $true )
| ( ( SV131 @ SV154 )
= $true )
| ( ( ! [SY3173: $i] :
( ~ ( r4 @ SV65 @ SY3173 )
| ~ ! [SY3174: $i] :
( ~ ( r4 @ SY3173 @ SY3174 )
| ( SV131 @ SY3174 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(737,plain,
! [SV132: $i > $o,SV155: $i,SV66: $i] :
( ( ( ~ ( r5 @ SV66 @ SV155 ) )
= $true )
| ( ( SV132 @ SV155 )
= $true )
| ( ( ! [SY3176: $i] :
( ~ ( r5 @ SV66 @ SY3176 )
| ~ ! [SY3177: $i] :
( ~ ( r5 @ SY3176 @ SY3177 )
| ( SV132 @ SY3177 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(738,plain,
! [SV149: $i,SV67: mu] :
( ( ( good_in_maths @ SV67 @ SV149 )
= $false )
| ( ( r1 @ sK1_SY25 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(739,plain,
! [SV69: mu,SV2: $i,SV133: $i] :
( ( ( ~ ( r1 @ SV133 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
| ( mathematician @ SV69 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) ) )
= $false )
| ( ( ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[637]) ).
thf(740,plain,
! [SV70: mu,SV3: $i,SV134: $i] :
( ( ( ~ ( r2 @ SV134 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
| ( mathematician @ SV70 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) ) )
= $false )
| ( ( ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[638]) ).
thf(741,plain,
! [SV71: mu,SV4: $i,SV135: $i] :
( ( ( ~ ( r3 @ SV135 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
| ( mathematician @ SV71 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) ) )
= $false )
| ( ( ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[639]) ).
thf(742,plain,
! [SV72: mu,SV5: $i,SV136: $i] :
( ( ( ~ ( r4 @ SV136 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
| ( mathematician @ SV72 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) ) )
= $false )
| ( ( ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[640]) ).
thf(743,plain,
! [SV73: mu,SV6: $i,SV137: $i] :
( ( ( ~ ( r5 @ SV137 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
| ( mathematician @ SV73 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) ) )
= $false )
| ( ( ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[641]) ).
thf(744,plain,
! [SV7: $i,SV74: mu,SV138: $i] :
( ( ( ! [SY3188: $i] :
( ~ ( r1 @ SV138 @ SY3188 )
| ~ ( good_in_maths @ SV74 @ SY3188 ) ) )
= $false )
| ( ( maths_student @ SV74 @ SV138 )
= $false )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[642]) ).
thf(745,plain,
! [SV8: $i,SV75: mu,SV139: $i] :
( ( ( ! [SY3189: $i] :
( ~ ( r2 @ SV139 @ SY3189 )
| ~ ( good_in_maths @ SV75 @ SY3189 ) ) )
= $false )
| ( ( maths_student @ SV75 @ SV139 )
= $false )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(746,plain,
! [SV9: $i,SV76: mu,SV140: $i] :
( ( ( ! [SY3190: $i] :
( ~ ( r3 @ SV140 @ SY3190 )
| ~ ( good_in_maths @ SV76 @ SY3190 ) ) )
= $false )
| ( ( maths_student @ SV76 @ SV140 )
= $false )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(747,plain,
! [SV10: $i,SV77: mu,SV141: $i] :
( ( ( ! [SY3191: $i] :
( ~ ( r4 @ SV141 @ SY3191 )
| ~ ( good_in_maths @ SV77 @ SY3191 ) ) )
= $false )
| ( ( maths_student @ SV77 @ SV141 )
= $false )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(748,plain,
! [SV11: $i,SV78: mu,SV142: $i] :
( ( ( ! [SY3192: $i] :
( ~ ( r5 @ SV142 @ SY3192 )
| ~ ( good_in_maths @ SV78 @ SY3192 ) ) )
= $false )
| ( ( maths_student @ SV78 @ SV142 )
= $false )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(749,plain,
! [SV12: $i,SV79: mu,SV143: $i] :
( ( ( ! [SY3193: $i] :
( ~ ( r1 @ SV143 @ SY3193 )
| ~ ( good_in_physics @ SV79 @ SY3193 ) ) )
= $false )
| ( ( physics_student @ SV79 @ SV143 )
= $false )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(750,plain,
! [SV13: $i,SV80: mu,SV144: $i] :
( ( ( ! [SY3194: $i] :
( ~ ( r2 @ SV144 @ SY3194 )
| ~ ( good_in_physics @ SV80 @ SY3194 ) ) )
= $false )
| ( ( physics_student @ SV80 @ SV144 )
= $false )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(751,plain,
! [SV14: $i,SV81: mu,SV145: $i] :
( ( ( ! [SY3195: $i] :
( ~ ( r3 @ SV145 @ SY3195 )
| ~ ( good_in_physics @ SV81 @ SY3195 ) ) )
= $false )
| ( ( physics_student @ SV81 @ SV145 )
= $false )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(752,plain,
! [SV15: $i,SV82: mu,SV146: $i] :
( ( ( ! [SY3196: $i] :
( ~ ( r4 @ SV146 @ SY3196 )
| ~ ( good_in_physics @ SV82 @ SY3196 ) ) )
= $false )
| ( ( physics_student @ SV82 @ SV146 )
= $false )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(753,plain,
! [SV16: $i,SV83: mu,SV147: $i] :
( ( ( ! [SY3197: $i] :
( ~ ( r5 @ SV147 @ SY3197 )
| ~ ( good_in_physics @ SV83 @ SY3197 ) ) )
= $false )
| ( ( physics_student @ SV83 @ SV147 )
= $false )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(754,plain,
! [SV17: $i,SV84: mu,SV148: $i] :
( ( ( ! [SY3198: $i] :
( ~ ( r2 @ SV148 @ SY3198 )
| ~ ( good_in_maths @ SV84 @ SY3198 ) ) )
= $false )
| ( ( good_in_physics @ SV84 @ SV148 )
= $false )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[652]) ).
thf(755,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ! [SY3059: $i] :
( ~ ( r1 @ SV22 @ SY3059 )
| ~ ( SV88 @ SY3059 ) ) )
= $false )
| ( ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(756,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ ( sK47_SY3059 @ SV88 @ SV22 ) )
| ~ ( SV88 @ ( sK47_SY3059 @ SV88 @ SV22 ) ) )
= $false )
| ( ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[654]) ).
thf(757,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ! [SY3061: $i] :
( ~ ( r2 @ SV23 @ SY3061 )
| ~ ( SV89 @ SY3061 ) ) )
= $false )
| ( ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(758,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ~ ( r2 @ SV23 @ ( sK48_SY3061 @ SV89 @ SV23 ) )
| ~ ( SV89 @ ( sK48_SY3061 @ SV89 @ SV23 ) ) )
= $false )
| ( ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[656]) ).
thf(759,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ! [SY3063: $i] :
( ~ ( r3 @ SV24 @ SY3063 )
| ~ ( SV90 @ SY3063 ) ) )
= $false )
| ( ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(760,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ~ ( r3 @ SV24 @ ( sK49_SY3063 @ SV90 @ SV24 ) )
| ~ ( SV90 @ ( sK49_SY3063 @ SV90 @ SV24 ) ) )
= $false )
| ( ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[658]) ).
thf(761,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ! [SY3065: $i] :
( ~ ( r4 @ SV25 @ SY3065 )
| ~ ( SV91 @ SY3065 ) ) )
= $false )
| ( ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(762,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ~ ( r4 @ SV25 @ ( sK50_SY3065 @ SV91 @ SV25 ) )
| ~ ( SV91 @ ( sK50_SY3065 @ SV91 @ SV25 ) ) )
= $false )
| ( ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[660]) ).
thf(763,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ! [SY3067: $i] :
( ~ ( r5 @ SV26 @ SY3067 )
| ~ ( SV92 @ SY3067 ) ) )
= $false )
| ( ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(764,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ~ ( r5 @ SV26 @ ( sK51_SY3067 @ SV92 @ SV26 ) )
| ~ ( SV92 @ ( sK51_SY3067 @ SV92 @ SV26 ) ) )
= $false )
| ( ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[662]) ).
thf(765,plain,
! [SV93: $i > $o,SV191: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV191 )
| ( SV93 @ SV191 ) )
= $true )
| ( ( r2 @ SV27 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(766,plain,
! [SV93: $i > $o,SV156: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV156 ) )
= $true )
| ( ( SV93 @ SV156 )
= $true )
| ( ( SV93 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[664]) ).
thf(767,plain,
! [SV94: $i > $o,SV192: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV192 )
| ( SV94 @ SV192 ) )
= $true )
| ( ( r3 @ SV28 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(768,plain,
! [SV94: $i > $o,SV157: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV157 ) )
= $true )
| ( ( SV94 @ SV157 )
= $true )
| ( ( SV94 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(769,plain,
! [SV95: $i > $o,SV193: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV193 )
| ( SV95 @ SV193 ) )
= $true )
| ( ( r4 @ SV29 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(770,plain,
! [SV95: $i > $o,SV158: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV158 ) )
= $true )
| ( ( SV95 @ SV158 )
= $true )
| ( ( SV95 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(771,plain,
! [SV96: $i > $o,SV194: $i,SV30: $i] :
( ( ( ~ ( r1 @ SV30 @ SV194 )
| ( SV96 @ SV194 ) )
= $true )
| ( ( r5 @ SV30 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(772,plain,
! [SV96: $i > $o,SV159: $i,SV30: $i] :
( ( ( ~ ( r1 @ SV30 @ SV159 ) )
= $true )
| ( ( SV96 @ SV159 )
= $true )
| ( ( SV96 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(773,plain,
! [SV97: $i > $o,SV195: $i,SV31: $i] :
( ( ( ~ ( r2 @ SV31 @ SV195 )
| ( SV97 @ SV195 ) )
= $true )
| ( ( r3 @ SV31 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(774,plain,
! [SV97: $i > $o,SV160: $i,SV31: $i] :
( ( ( ~ ( r2 @ SV31 @ SV160 ) )
= $true )
| ( ( SV97 @ SV160 )
= $true )
| ( ( SV97 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(775,plain,
! [SV98: $i > $o,SV196: $i,SV32: $i] :
( ( ( ~ ( r2 @ SV32 @ SV196 )
| ( SV98 @ SV196 ) )
= $true )
| ( ( r4 @ SV32 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(776,plain,
! [SV98: $i > $o,SV161: $i,SV32: $i] :
( ( ( ~ ( r2 @ SV32 @ SV161 ) )
= $true )
| ( ( SV98 @ SV161 )
= $true )
| ( ( SV98 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(777,plain,
! [SV99: $i > $o,SV197: $i,SV33: $i] :
( ( ( ~ ( r2 @ SV33 @ SV197 )
| ( SV99 @ SV197 ) )
= $true )
| ( ( r5 @ SV33 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(778,plain,
! [SV99: $i > $o,SV162: $i,SV33: $i] :
( ( ( ~ ( r2 @ SV33 @ SV162 ) )
= $true )
| ( ( SV99 @ SV162 )
= $true )
| ( ( SV99 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(779,plain,
! [SV100: $i > $o,SV198: $i,SV34: $i] :
( ( ( ~ ( r3 @ SV34 @ SV198 )
| ( SV100 @ SV198 ) )
= $true )
| ( ( r4 @ SV34 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(780,plain,
! [SV100: $i > $o,SV163: $i,SV34: $i] :
( ( ( ~ ( r3 @ SV34 @ SV163 ) )
= $true )
| ( ( SV100 @ SV163 )
= $true )
| ( ( SV100 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(781,plain,
! [SV101: $i > $o,SV199: $i,SV35: $i] :
( ( ( ~ ( r3 @ SV35 @ SV199 )
| ( SV101 @ SV199 ) )
= $true )
| ( ( r5 @ SV35 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(782,plain,
! [SV101: $i > $o,SV164: $i,SV35: $i] :
( ( ( ~ ( r3 @ SV35 @ SV164 ) )
= $true )
| ( ( SV101 @ SV164 )
= $true )
| ( ( SV101 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(783,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i] :
( ( ( ~ ( r4 @ SV36 @ SV200 )
| ( SV102 @ SV200 ) )
= $true )
| ( ( r5 @ SV36 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(784,plain,
! [SV102: $i > $o,SV165: $i,SV36: $i] :
( ( ( ~ ( r4 @ SV36 @ SV165 ) )
= $true )
| ( ( SV102 @ SV165 )
= $true )
| ( ( SV102 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(785,plain,
! [SV103: $i > $o,SV201: $i,SV37: $i] :
( ( ( ~ ( r1 @ SV37 @ SV201 )
| ! [SY3224: $i] :
( ~ ( r1 @ SV201 @ SY3224 )
| ( SV103 @ SY3224 ) ) )
= $true )
| ( ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(786,plain,
! [SV103: $i > $o,SV166: $i,SV37: $i] :
( ( ( ~ ( r1 @ SV37 @ SV166 ) )
= $true )
| ( ( ! [SY3199: $i] :
( ~ ( r1 @ SV166 @ SY3199 )
| ( SV103 @ SY3199 ) ) )
= $true )
| ( ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(787,plain,
! [SV104: $i > $o,SV202: $i,SV38: $i] :
( ( ( ~ ( r2 @ SV38 @ SV202 )
| ! [SY3225: $i] :
( ~ ( r1 @ SV202 @ SY3225 )
| ( SV104 @ SY3225 ) ) )
= $true )
| ( ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(788,plain,
! [SV104: $i > $o,SV167: $i,SV38: $i] :
( ( ( ~ ( r2 @ SV38 @ SV167 ) )
= $true )
| ( ( ! [SY3200: $i] :
( ~ ( r1 @ SV167 @ SY3200 )
| ( SV104 @ SY3200 ) ) )
= $true )
| ( ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(789,plain,
! [SV105: $i > $o,SV203: $i,SV39: $i] :
( ( ( ~ ( r3 @ SV39 @ SV203 )
| ! [SY3226: $i] :
( ~ ( r1 @ SV203 @ SY3226 )
| ( SV105 @ SY3226 ) ) )
= $true )
| ( ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(790,plain,
! [SV105: $i > $o,SV168: $i,SV39: $i] :
( ( ( ~ ( r3 @ SV39 @ SV168 ) )
= $true )
| ( ( ! [SY3201: $i] :
( ~ ( r1 @ SV168 @ SY3201 )
| ( SV105 @ SY3201 ) ) )
= $true )
| ( ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(791,plain,
! [SV106: $i > $o,SV204: $i,SV40: $i] :
( ( ( ~ ( r4 @ SV40 @ SV204 )
| ! [SY3227: $i] :
( ~ ( r1 @ SV204 @ SY3227 )
| ( SV106 @ SY3227 ) ) )
= $true )
| ( ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(792,plain,
! [SV106: $i > $o,SV169: $i,SV40: $i] :
( ( ( ~ ( r4 @ SV40 @ SV169 ) )
= $true )
| ( ( ! [SY3202: $i] :
( ~ ( r1 @ SV169 @ SY3202 )
| ( SV106 @ SY3202 ) ) )
= $true )
| ( ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(793,plain,
! [SV107: $i > $o,SV205: $i,SV41: $i] :
( ( ( ~ ( r5 @ SV41 @ SV205 )
| ! [SY3228: $i] :
( ~ ( r1 @ SV205 @ SY3228 )
| ( SV107 @ SY3228 ) ) )
= $true )
| ( ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(794,plain,
! [SV107: $i > $o,SV170: $i,SV41: $i] :
( ( ( ~ ( r5 @ SV41 @ SV170 ) )
= $true )
| ( ( ! [SY3203: $i] :
( ~ ( r1 @ SV170 @ SY3203 )
| ( SV107 @ SY3203 ) ) )
= $true )
| ( ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(795,plain,
! [SV108: $i > $o,SV206: $i,SV42: $i] :
( ( ( ~ ( r1 @ SV42 @ SV206 )
| ! [SY3229: $i] :
( ~ ( r2 @ SV206 @ SY3229 )
| ( SV108 @ SY3229 ) ) )
= $true )
| ( ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(796,plain,
! [SV108: $i > $o,SV171: $i,SV42: $i] :
( ( ( ~ ( r1 @ SV42 @ SV171 ) )
= $true )
| ( ( ! [SY3204: $i] :
( ~ ( r2 @ SV171 @ SY3204 )
| ( SV108 @ SY3204 ) ) )
= $true )
| ( ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(797,plain,
! [SV109: $i > $o,SV207: $i,SV43: $i] :
( ( ( ~ ( r2 @ SV43 @ SV207 )
| ! [SY3230: $i] :
( ~ ( r2 @ SV207 @ SY3230 )
| ( SV109 @ SY3230 ) ) )
= $true )
| ( ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(798,plain,
! [SV109: $i > $o,SV172: $i,SV43: $i] :
( ( ( ~ ( r2 @ SV43 @ SV172 ) )
= $true )
| ( ( ! [SY3205: $i] :
( ~ ( r2 @ SV172 @ SY3205 )
| ( SV109 @ SY3205 ) ) )
= $true )
| ( ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(799,plain,
! [SV110: $i > $o,SV208: $i,SV44: $i] :
( ( ( ~ ( r3 @ SV44 @ SV208 )
| ! [SY3231: $i] :
( ~ ( r2 @ SV208 @ SY3231 )
| ( SV110 @ SY3231 ) ) )
= $true )
| ( ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(800,plain,
! [SV110: $i > $o,SV173: $i,SV44: $i] :
( ( ( ~ ( r3 @ SV44 @ SV173 ) )
= $true )
| ( ( ! [SY3206: $i] :
( ~ ( r2 @ SV173 @ SY3206 )
| ( SV110 @ SY3206 ) ) )
= $true )
| ( ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(801,plain,
! [SV111: $i > $o,SV209: $i,SV45: $i] :
( ( ( ~ ( r4 @ SV45 @ SV209 )
| ! [SY3232: $i] :
( ~ ( r2 @ SV209 @ SY3232 )
| ( SV111 @ SY3232 ) ) )
= $true )
| ( ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(802,plain,
! [SV111: $i > $o,SV174: $i,SV45: $i] :
( ( ( ~ ( r4 @ SV45 @ SV174 ) )
= $true )
| ( ( ! [SY3207: $i] :
( ~ ( r2 @ SV174 @ SY3207 )
| ( SV111 @ SY3207 ) ) )
= $true )
| ( ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(803,plain,
! [SV112: $i > $o,SV210: $i,SV46: $i] :
( ( ( ~ ( r5 @ SV46 @ SV210 )
| ! [SY3233: $i] :
( ~ ( r2 @ SV210 @ SY3233 )
| ( SV112 @ SY3233 ) ) )
= $true )
| ( ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(804,plain,
! [SV112: $i > $o,SV175: $i,SV46: $i] :
( ( ( ~ ( r5 @ SV46 @ SV175 ) )
= $true )
| ( ( ! [SY3208: $i] :
( ~ ( r2 @ SV175 @ SY3208 )
| ( SV112 @ SY3208 ) ) )
= $true )
| ( ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(805,plain,
! [SV113: $i > $o,SV211: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ SV211 )
| ! [SY3234: $i] :
( ~ ( r3 @ SV211 @ SY3234 )
| ( SV113 @ SY3234 ) ) )
= $true )
| ( ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(806,plain,
! [SV113: $i > $o,SV176: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ SV176 ) )
= $true )
| ( ( ! [SY3209: $i] :
( ~ ( r3 @ SV176 @ SY3209 )
| ( SV113 @ SY3209 ) ) )
= $true )
| ( ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[704]) ).
thf(807,plain,
! [SV114: $i > $o,SV212: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ SV212 )
| ! [SY3235: $i] :
( ~ ( r3 @ SV212 @ SY3235 )
| ( SV114 @ SY3235 ) ) )
= $true )
| ( ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(808,plain,
! [SV114: $i > $o,SV177: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ SV177 ) )
= $true )
| ( ( ! [SY3210: $i] :
( ~ ( r3 @ SV177 @ SY3210 )
| ( SV114 @ SY3210 ) ) )
= $true )
| ( ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(809,plain,
! [SV115: $i > $o,SV213: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ SV213 )
| ! [SY3236: $i] :
( ~ ( r3 @ SV213 @ SY3236 )
| ( SV115 @ SY3236 ) ) )
= $true )
| ( ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(810,plain,
! [SV115: $i > $o,SV178: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ SV178 ) )
= $true )
| ( ( ! [SY3211: $i] :
( ~ ( r3 @ SV178 @ SY3211 )
| ( SV115 @ SY3211 ) ) )
= $true )
| ( ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(811,plain,
! [SV116: $i > $o,SV214: $i,SV50: $i] :
( ( ( ~ ( r4 @ SV50 @ SV214 )
| ! [SY3237: $i] :
( ~ ( r3 @ SV214 @ SY3237 )
| ( SV116 @ SY3237 ) ) )
= $true )
| ( ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(812,plain,
! [SV116: $i > $o,SV179: $i,SV50: $i] :
( ( ( ~ ( r4 @ SV50 @ SV179 ) )
= $true )
| ( ( ! [SY3212: $i] :
( ~ ( r3 @ SV179 @ SY3212 )
| ( SV116 @ SY3212 ) ) )
= $true )
| ( ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[710]) ).
thf(813,plain,
! [SV117: $i > $o,SV215: $i,SV51: $i] :
( ( ( ~ ( r5 @ SV51 @ SV215 )
| ! [SY3238: $i] :
( ~ ( r3 @ SV215 @ SY3238 )
| ( SV117 @ SY3238 ) ) )
= $true )
| ( ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(814,plain,
! [SV117: $i > $o,SV180: $i,SV51: $i] :
( ( ( ~ ( r5 @ SV51 @ SV180 ) )
= $true )
| ( ( ! [SY3213: $i] :
( ~ ( r3 @ SV180 @ SY3213 )
| ( SV117 @ SY3213 ) ) )
= $true )
| ( ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(815,plain,
! [SV118: $i > $o,SV216: $i,SV52: $i] :
( ( ( ~ ( r1 @ SV52 @ SV216 )
| ! [SY3239: $i] :
( ~ ( r4 @ SV216 @ SY3239 )
| ( SV118 @ SY3239 ) ) )
= $true )
| ( ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(816,plain,
! [SV118: $i > $o,SV181: $i,SV52: $i] :
( ( ( ~ ( r1 @ SV52 @ SV181 ) )
= $true )
| ( ( ! [SY3214: $i] :
( ~ ( r4 @ SV181 @ SY3214 )
| ( SV118 @ SY3214 ) ) )
= $true )
| ( ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(817,plain,
! [SV119: $i > $o,SV217: $i,SV53: $i] :
( ( ( ~ ( r2 @ SV53 @ SV217 )
| ! [SY3240: $i] :
( ~ ( r4 @ SV217 @ SY3240 )
| ( SV119 @ SY3240 ) ) )
= $true )
| ( ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(818,plain,
! [SV119: $i > $o,SV182: $i,SV53: $i] :
( ( ( ~ ( r2 @ SV53 @ SV182 ) )
= $true )
| ( ( ! [SY3215: $i] :
( ~ ( r4 @ SV182 @ SY3215 )
| ( SV119 @ SY3215 ) ) )
= $true )
| ( ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(819,plain,
! [SV120: $i > $o,SV218: $i,SV54: $i] :
( ( ( ~ ( r3 @ SV54 @ SV218 )
| ! [SY3241: $i] :
( ~ ( r4 @ SV218 @ SY3241 )
| ( SV120 @ SY3241 ) ) )
= $true )
| ( ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(820,plain,
! [SV120: $i > $o,SV183: $i,SV54: $i] :
( ( ( ~ ( r3 @ SV54 @ SV183 ) )
= $true )
| ( ( ! [SY3216: $i] :
( ~ ( r4 @ SV183 @ SY3216 )
| ( SV120 @ SY3216 ) ) )
= $true )
| ( ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(821,plain,
! [SV121: $i > $o,SV219: $i,SV55: $i] :
( ( ( ~ ( r4 @ SV55 @ SV219 )
| ! [SY3242: $i] :
( ~ ( r4 @ SV219 @ SY3242 )
| ( SV121 @ SY3242 ) ) )
= $true )
| ( ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(822,plain,
! [SV121: $i > $o,SV184: $i,SV55: $i] :
( ( ( ~ ( r4 @ SV55 @ SV184 ) )
= $true )
| ( ( ! [SY3217: $i] :
( ~ ( r4 @ SV184 @ SY3217 )
| ( SV121 @ SY3217 ) ) )
= $true )
| ( ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(823,plain,
! [SV122: $i > $o,SV220: $i,SV56: $i] :
( ( ( ~ ( r5 @ SV56 @ SV220 )
| ! [SY3243: $i] :
( ~ ( r4 @ SV220 @ SY3243 )
| ( SV122 @ SY3243 ) ) )
= $true )
| ( ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(824,plain,
! [SV122: $i > $o,SV185: $i,SV56: $i] :
( ( ( ~ ( r5 @ SV56 @ SV185 ) )
= $true )
| ( ( ! [SY3218: $i] :
( ~ ( r4 @ SV185 @ SY3218 )
| ( SV122 @ SY3218 ) ) )
= $true )
| ( ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(825,plain,
! [SV123: $i > $o,SV221: $i,SV57: $i] :
( ( ( ~ ( r1 @ SV57 @ SV221 )
| ! [SY3244: $i] :
( ~ ( r5 @ SV221 @ SY3244 )
| ( SV123 @ SY3244 ) ) )
= $true )
| ( ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(826,plain,
! [SV123: $i > $o,SV186: $i,SV57: $i] :
( ( ( ~ ( r1 @ SV57 @ SV186 ) )
= $true )
| ( ( ! [SY3219: $i] :
( ~ ( r5 @ SV186 @ SY3219 )
| ( SV123 @ SY3219 ) ) )
= $true )
| ( ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[724]) ).
thf(827,plain,
! [SV124: $i > $o,SV222: $i,SV58: $i] :
( ( ( ~ ( r2 @ SV58 @ SV222 )
| ! [SY3245: $i] :
( ~ ( r5 @ SV222 @ SY3245 )
| ( SV124 @ SY3245 ) ) )
= $true )
| ( ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(828,plain,
! [SV124: $i > $o,SV187: $i,SV58: $i] :
( ( ( ~ ( r2 @ SV58 @ SV187 ) )
= $true )
| ( ( ! [SY3220: $i] :
( ~ ( r5 @ SV187 @ SY3220 )
| ( SV124 @ SY3220 ) ) )
= $true )
| ( ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(829,plain,
! [SV125: $i > $o,SV223: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV223 )
| ! [SY3246: $i] :
( ~ ( r5 @ SV223 @ SY3246 )
| ( SV125 @ SY3246 ) ) )
= $true )
| ( ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(830,plain,
! [SV125: $i > $o,SV188: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV188 ) )
= $true )
| ( ( ! [SY3221: $i] :
( ~ ( r5 @ SV188 @ SY3221 )
| ( SV125 @ SY3221 ) ) )
= $true )
| ( ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(831,plain,
! [SV126: $i > $o,SV224: $i,SV60: $i] :
( ( ( ~ ( r4 @ SV60 @ SV224 )
| ! [SY3247: $i] :
( ~ ( r5 @ SV224 @ SY3247 )
| ( SV126 @ SY3247 ) ) )
= $true )
| ( ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(832,plain,
! [SV126: $i > $o,SV189: $i,SV60: $i] :
( ( ( ~ ( r4 @ SV60 @ SV189 ) )
= $true )
| ( ( ! [SY3222: $i] :
( ~ ( r5 @ SV189 @ SY3222 )
| ( SV126 @ SY3222 ) ) )
= $true )
| ( ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(833,plain,
! [SV127: $i > $o,SV225: $i,SV61: $i] :
( ( ( ~ ( r5 @ SV61 @ SV225 )
| ! [SY3248: $i] :
( ~ ( r5 @ SV225 @ SY3248 )
| ( SV127 @ SY3248 ) ) )
= $true )
| ( ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(834,plain,
! [SV127: $i > $o,SV190: $i,SV61: $i] :
( ( ( ~ ( r5 @ SV61 @ SV190 ) )
= $true )
| ( ( ! [SY3223: $i] :
( ~ ( r5 @ SV190 @ SY3223 )
| ( SV127 @ SY3223 ) ) )
= $true )
| ( ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(835,plain,
! [SV128: $i > $o,SV151: $i,SV62: $i] :
( ( ( r1 @ SV62 @ SV151 )
= $false )
| ( ( SV128 @ SV151 )
= $true )
| ( ( ! [SY3164: $i] :
( ~ ( r1 @ SV62 @ SY3164 )
| ~ ! [SY3165: $i] :
( ~ ( r1 @ SY3164 @ SY3165 )
| ( SV128 @ SY3165 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(836,plain,
! [SV129: $i > $o,SV152: $i,SV63: $i] :
( ( ( r2 @ SV63 @ SV152 )
= $false )
| ( ( SV129 @ SV152 )
= $true )
| ( ( ! [SY3167: $i] :
( ~ ( r2 @ SV63 @ SY3167 )
| ~ ! [SY3168: $i] :
( ~ ( r2 @ SY3167 @ SY3168 )
| ( SV129 @ SY3168 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(837,plain,
! [SV130: $i > $o,SV153: $i,SV64: $i] :
( ( ( r3 @ SV64 @ SV153 )
= $false )
| ( ( SV130 @ SV153 )
= $true )
| ( ( ! [SY3170: $i] :
( ~ ( r3 @ SV64 @ SY3170 )
| ~ ! [SY3171: $i] :
( ~ ( r3 @ SY3170 @ SY3171 )
| ( SV130 @ SY3171 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(838,plain,
! [SV131: $i > $o,SV154: $i,SV65: $i] :
( ( ( r4 @ SV65 @ SV154 )
= $false )
| ( ( SV131 @ SV154 )
= $true )
| ( ( ! [SY3173: $i] :
( ~ ( r4 @ SV65 @ SY3173 )
| ~ ! [SY3174: $i] :
( ~ ( r4 @ SY3173 @ SY3174 )
| ( SV131 @ SY3174 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(839,plain,
! [SV132: $i > $o,SV155: $i,SV66: $i] :
( ( ( r5 @ SV66 @ SV155 )
= $false )
| ( ( SV132 @ SV155 )
= $true )
| ( ( ! [SY3176: $i] :
( ~ ( r5 @ SV66 @ SY3176 )
| ~ ! [SY3177: $i] :
( ~ ( r5 @ SY3176 @ SY3177 )
| ( SV132 @ SY3177 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(840,plain,
! [SV69: mu,SV2: $i,SV133: $i] :
( ( ( ~ ( r1 @ SV133 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) ) )
= $false )
| ( ( ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(841,plain,
! [SV133: $i,SV2: $i,SV69: mu] :
( ( ( mathematician @ SV69 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $false )
| ( ( ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[739]) ).
thf(842,plain,
! [SV70: mu,SV3: $i,SV134: $i] :
( ( ( ~ ( r2 @ SV134 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) ) )
= $false )
| ( ( ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(843,plain,
! [SV134: $i,SV3: $i,SV70: mu] :
( ( ( mathematician @ SV70 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $false )
| ( ( ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(844,plain,
! [SV71: mu,SV4: $i,SV135: $i] :
( ( ( ~ ( r3 @ SV135 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) ) )
= $false )
| ( ( ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(845,plain,
! [SV135: $i,SV4: $i,SV71: mu] :
( ( ( mathematician @ SV71 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $false )
| ( ( ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(846,plain,
! [SV72: mu,SV5: $i,SV136: $i] :
( ( ( ~ ( r4 @ SV136 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) ) )
= $false )
| ( ( ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(847,plain,
! [SV136: $i,SV5: $i,SV72: mu] :
( ( ( mathematician @ SV72 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $false )
| ( ( ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(848,plain,
! [SV73: mu,SV6: $i,SV137: $i] :
( ( ( ~ ( r5 @ SV137 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) ) )
= $false )
| ( ( ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(849,plain,
! [SV137: $i,SV6: $i,SV73: mu] :
( ( ( mathematician @ SV73 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $false )
| ( ( ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(850,plain,
! [SV74: mu,SV7: $i,SV138: $i] :
( ( ( ~ ( r1 @ SV138 @ ( sK52_SY3188 @ SV7 @ SV74 @ SV138 ) )
| ~ ( good_in_maths @ SV74 @ ( sK52_SY3188 @ SV7 @ SV74 @ SV138 ) ) )
= $false )
| ( ( maths_student @ SV74 @ SV138 )
= $false )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[744]) ).
thf(851,plain,
! [SV75: mu,SV8: $i,SV139: $i] :
( ( ( ~ ( r2 @ SV139 @ ( sK53_SY3189 @ SV8 @ SV75 @ SV139 ) )
| ~ ( good_in_maths @ SV75 @ ( sK53_SY3189 @ SV8 @ SV75 @ SV139 ) ) )
= $false )
| ( ( maths_student @ SV75 @ SV139 )
= $false )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[745]) ).
thf(852,plain,
! [SV76: mu,SV9: $i,SV140: $i] :
( ( ( ~ ( r3 @ SV140 @ ( sK54_SY3190 @ SV9 @ SV76 @ SV140 ) )
| ~ ( good_in_maths @ SV76 @ ( sK54_SY3190 @ SV9 @ SV76 @ SV140 ) ) )
= $false )
| ( ( maths_student @ SV76 @ SV140 )
= $false )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[746]) ).
thf(853,plain,
! [SV77: mu,SV10: $i,SV141: $i] :
( ( ( ~ ( r4 @ SV141 @ ( sK55_SY3191 @ SV10 @ SV77 @ SV141 ) )
| ~ ( good_in_maths @ SV77 @ ( sK55_SY3191 @ SV10 @ SV77 @ SV141 ) ) )
= $false )
| ( ( maths_student @ SV77 @ SV141 )
= $false )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[747]) ).
thf(854,plain,
! [SV78: mu,SV11: $i,SV142: $i] :
( ( ( ~ ( r5 @ SV142 @ ( sK56_SY3192 @ SV11 @ SV78 @ SV142 ) )
| ~ ( good_in_maths @ SV78 @ ( sK56_SY3192 @ SV11 @ SV78 @ SV142 ) ) )
= $false )
| ( ( maths_student @ SV78 @ SV142 )
= $false )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[748]) ).
thf(855,plain,
! [SV79: mu,SV12: $i,SV143: $i] :
( ( ( ~ ( r1 @ SV143 @ ( sK57_SY3193 @ SV12 @ SV79 @ SV143 ) )
| ~ ( good_in_physics @ SV79 @ ( sK57_SY3193 @ SV12 @ SV79 @ SV143 ) ) )
= $false )
| ( ( physics_student @ SV79 @ SV143 )
= $false )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[749]) ).
thf(856,plain,
! [SV80: mu,SV13: $i,SV144: $i] :
( ( ( ~ ( r2 @ SV144 @ ( sK58_SY3194 @ SV13 @ SV80 @ SV144 ) )
| ~ ( good_in_physics @ SV80 @ ( sK58_SY3194 @ SV13 @ SV80 @ SV144 ) ) )
= $false )
| ( ( physics_student @ SV80 @ SV144 )
= $false )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[750]) ).
thf(857,plain,
! [SV81: mu,SV14: $i,SV145: $i] :
( ( ( ~ ( r3 @ SV145 @ ( sK59_SY3195 @ SV14 @ SV81 @ SV145 ) )
| ~ ( good_in_physics @ SV81 @ ( sK59_SY3195 @ SV14 @ SV81 @ SV145 ) ) )
= $false )
| ( ( physics_student @ SV81 @ SV145 )
= $false )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[751]) ).
thf(858,plain,
! [SV82: mu,SV15: $i,SV146: $i] :
( ( ( ~ ( r4 @ SV146 @ ( sK60_SY3196 @ SV15 @ SV82 @ SV146 ) )
| ~ ( good_in_physics @ SV82 @ ( sK60_SY3196 @ SV15 @ SV82 @ SV146 ) ) )
= $false )
| ( ( physics_student @ SV82 @ SV146 )
= $false )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[752]) ).
thf(859,plain,
! [SV83: mu,SV16: $i,SV147: $i] :
( ( ( ~ ( r5 @ SV147 @ ( sK61_SY3197 @ SV16 @ SV83 @ SV147 ) )
| ~ ( good_in_physics @ SV83 @ ( sK61_SY3197 @ SV16 @ SV83 @ SV147 ) ) )
= $false )
| ( ( physics_student @ SV83 @ SV147 )
= $false )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[753]) ).
thf(860,plain,
! [SV84: mu,SV17: $i,SV148: $i] :
( ( ( ~ ( r2 @ SV148 @ ( sK62_SY3198 @ SV17 @ SV84 @ SV148 ) )
| ~ ( good_in_maths @ SV84 @ ( sK62_SY3198 @ SV17 @ SV84 @ SV148 ) ) )
= $false )
| ( ( good_in_physics @ SV84 @ SV148 )
= $false )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[754]) ).
thf(861,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ ( sK63_SY3059 @ SV88 @ SV22 ) )
| ~ ( SV88 @ ( sK63_SY3059 @ SV88 @ SV22 ) ) )
= $false )
| ( ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[755]) ).
thf(862,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ ( sK47_SY3059 @ SV88 @ SV22 ) ) )
= $false )
| ( ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(863,plain,
! [SV22: $i,SV88: $i > $o] :
( ( ( ~ ( SV88 @ ( sK47_SY3059 @ SV88 @ SV22 ) ) )
= $false )
| ( ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(864,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ~ ( r2 @ SV23 @ ( sK64_SY3061 @ SV89 @ SV23 ) )
| ~ ( SV89 @ ( sK64_SY3061 @ SV89 @ SV23 ) ) )
= $false )
| ( ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[757]) ).
thf(865,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ~ ( r2 @ SV23 @ ( sK48_SY3061 @ SV89 @ SV23 ) ) )
= $false )
| ( ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(866,plain,
! [SV23: $i,SV89: $i > $o] :
( ( ( ~ ( SV89 @ ( sK48_SY3061 @ SV89 @ SV23 ) ) )
= $false )
| ( ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[758]) ).
thf(867,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ~ ( r3 @ SV24 @ ( sK65_SY3063 @ SV90 @ SV24 ) )
| ~ ( SV90 @ ( sK65_SY3063 @ SV90 @ SV24 ) ) )
= $false )
| ( ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[759]) ).
thf(868,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ~ ( r3 @ SV24 @ ( sK49_SY3063 @ SV90 @ SV24 ) ) )
= $false )
| ( ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(869,plain,
! [SV24: $i,SV90: $i > $o] :
( ( ( ~ ( SV90 @ ( sK49_SY3063 @ SV90 @ SV24 ) ) )
= $false )
| ( ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(870,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ~ ( r4 @ SV25 @ ( sK66_SY3065 @ SV91 @ SV25 ) )
| ~ ( SV91 @ ( sK66_SY3065 @ SV91 @ SV25 ) ) )
= $false )
| ( ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[761]) ).
thf(871,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ~ ( r4 @ SV25 @ ( sK50_SY3065 @ SV91 @ SV25 ) ) )
= $false )
| ( ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(872,plain,
! [SV25: $i,SV91: $i > $o] :
( ( ( ~ ( SV91 @ ( sK50_SY3065 @ SV91 @ SV25 ) ) )
= $false )
| ( ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[762]) ).
thf(873,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ~ ( r5 @ SV26 @ ( sK67_SY3067 @ SV92 @ SV26 ) )
| ~ ( SV92 @ ( sK67_SY3067 @ SV92 @ SV26 ) ) )
= $false )
| ( ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[763]) ).
thf(874,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ~ ( r5 @ SV26 @ ( sK51_SY3067 @ SV92 @ SV26 ) ) )
= $false )
| ( ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(875,plain,
! [SV26: $i,SV92: $i > $o] :
( ( ( ~ ( SV92 @ ( sK51_SY3067 @ SV92 @ SV26 ) ) )
= $false )
| ( ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[764]) ).
thf(876,plain,
! [SV93: $i > $o,SV191: $i,SV27: $i] :
( ( ( ~ ( r1 @ SV27 @ SV191 ) )
= $true )
| ( ( SV93 @ SV191 )
= $true )
| ( ( r2 @ SV27 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(877,plain,
! [SV93: $i > $o,SV156: $i,SV27: $i] :
( ( ( r1 @ SV27 @ SV156 )
= $false )
| ( ( SV93 @ SV156 )
= $true )
| ( ( SV93 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(878,plain,
! [SV94: $i > $o,SV192: $i,SV28: $i] :
( ( ( ~ ( r1 @ SV28 @ SV192 ) )
= $true )
| ( ( SV94 @ SV192 )
= $true )
| ( ( r3 @ SV28 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(879,plain,
! [SV94: $i > $o,SV157: $i,SV28: $i] :
( ( ( r1 @ SV28 @ SV157 )
= $false )
| ( ( SV94 @ SV157 )
= $true )
| ( ( SV94 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(880,plain,
! [SV95: $i > $o,SV193: $i,SV29: $i] :
( ( ( ~ ( r1 @ SV29 @ SV193 ) )
= $true )
| ( ( SV95 @ SV193 )
= $true )
| ( ( r4 @ SV29 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(881,plain,
! [SV95: $i > $o,SV158: $i,SV29: $i] :
( ( ( r1 @ SV29 @ SV158 )
= $false )
| ( ( SV95 @ SV158 )
= $true )
| ( ( SV95 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(882,plain,
! [SV96: $i > $o,SV194: $i,SV30: $i] :
( ( ( ~ ( r1 @ SV30 @ SV194 ) )
= $true )
| ( ( SV96 @ SV194 )
= $true )
| ( ( r5 @ SV30 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(883,plain,
! [SV96: $i > $o,SV159: $i,SV30: $i] :
( ( ( r1 @ SV30 @ SV159 )
= $false )
| ( ( SV96 @ SV159 )
= $true )
| ( ( SV96 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(884,plain,
! [SV97: $i > $o,SV195: $i,SV31: $i] :
( ( ( ~ ( r2 @ SV31 @ SV195 ) )
= $true )
| ( ( SV97 @ SV195 )
= $true )
| ( ( r3 @ SV31 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(885,plain,
! [SV97: $i > $o,SV160: $i,SV31: $i] :
( ( ( r2 @ SV31 @ SV160 )
= $false )
| ( ( SV97 @ SV160 )
= $true )
| ( ( SV97 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(886,plain,
! [SV98: $i > $o,SV196: $i,SV32: $i] :
( ( ( ~ ( r2 @ SV32 @ SV196 ) )
= $true )
| ( ( SV98 @ SV196 )
= $true )
| ( ( r4 @ SV32 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(887,plain,
! [SV98: $i > $o,SV161: $i,SV32: $i] :
( ( ( r2 @ SV32 @ SV161 )
= $false )
| ( ( SV98 @ SV161 )
= $true )
| ( ( SV98 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(888,plain,
! [SV99: $i > $o,SV197: $i,SV33: $i] :
( ( ( ~ ( r2 @ SV33 @ SV197 ) )
= $true )
| ( ( SV99 @ SV197 )
= $true )
| ( ( r5 @ SV33 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(889,plain,
! [SV99: $i > $o,SV162: $i,SV33: $i] :
( ( ( r2 @ SV33 @ SV162 )
= $false )
| ( ( SV99 @ SV162 )
= $true )
| ( ( SV99 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(890,plain,
! [SV100: $i > $o,SV198: $i,SV34: $i] :
( ( ( ~ ( r3 @ SV34 @ SV198 ) )
= $true )
| ( ( SV100 @ SV198 )
= $true )
| ( ( r4 @ SV34 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(891,plain,
! [SV100: $i > $o,SV163: $i,SV34: $i] :
( ( ( r3 @ SV34 @ SV163 )
= $false )
| ( ( SV100 @ SV163 )
= $true )
| ( ( SV100 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(892,plain,
! [SV101: $i > $o,SV199: $i,SV35: $i] :
( ( ( ~ ( r3 @ SV35 @ SV199 ) )
= $true )
| ( ( SV101 @ SV199 )
= $true )
| ( ( r5 @ SV35 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(893,plain,
! [SV101: $i > $o,SV164: $i,SV35: $i] :
( ( ( r3 @ SV35 @ SV164 )
= $false )
| ( ( SV101 @ SV164 )
= $true )
| ( ( SV101 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(894,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i] :
( ( ( ~ ( r4 @ SV36 @ SV200 ) )
= $true )
| ( ( SV102 @ SV200 )
= $true )
| ( ( r5 @ SV36 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(895,plain,
! [SV102: $i > $o,SV165: $i,SV36: $i] :
( ( ( r4 @ SV36 @ SV165 )
= $false )
| ( ( SV102 @ SV165 )
= $true )
| ( ( SV102 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(896,plain,
! [SV103: $i > $o,SV201: $i,SV37: $i] :
( ( ( ~ ( r1 @ SV37 @ SV201 ) )
= $true )
| ( ( ! [SY3224: $i] :
( ~ ( r1 @ SV201 @ SY3224 )
| ( SV103 @ SY3224 ) ) )
= $true )
| ( ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(897,plain,
! [SV103: $i > $o,SV166: $i,SV37: $i] :
( ( ( r1 @ SV37 @ SV166 )
= $false )
| ( ( ! [SY3199: $i] :
( ~ ( r1 @ SV166 @ SY3199 )
| ( SV103 @ SY3199 ) ) )
= $true )
| ( ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(898,plain,
! [SV104: $i > $o,SV202: $i,SV38: $i] :
( ( ( ~ ( r2 @ SV38 @ SV202 ) )
= $true )
| ( ( ! [SY3225: $i] :
( ~ ( r1 @ SV202 @ SY3225 )
| ( SV104 @ SY3225 ) ) )
= $true )
| ( ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(899,plain,
! [SV104: $i > $o,SV167: $i,SV38: $i] :
( ( ( r2 @ SV38 @ SV167 )
= $false )
| ( ( ! [SY3200: $i] :
( ~ ( r1 @ SV167 @ SY3200 )
| ( SV104 @ SY3200 ) ) )
= $true )
| ( ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(900,plain,
! [SV105: $i > $o,SV203: $i,SV39: $i] :
( ( ( ~ ( r3 @ SV39 @ SV203 ) )
= $true )
| ( ( ! [SY3226: $i] :
( ~ ( r1 @ SV203 @ SY3226 )
| ( SV105 @ SY3226 ) ) )
= $true )
| ( ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(901,plain,
! [SV105: $i > $o,SV168: $i,SV39: $i] :
( ( ( r3 @ SV39 @ SV168 )
= $false )
| ( ( ! [SY3201: $i] :
( ~ ( r1 @ SV168 @ SY3201 )
| ( SV105 @ SY3201 ) ) )
= $true )
| ( ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(902,plain,
! [SV106: $i > $o,SV204: $i,SV40: $i] :
( ( ( ~ ( r4 @ SV40 @ SV204 ) )
= $true )
| ( ( ! [SY3227: $i] :
( ~ ( r1 @ SV204 @ SY3227 )
| ( SV106 @ SY3227 ) ) )
= $true )
| ( ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(903,plain,
! [SV106: $i > $o,SV169: $i,SV40: $i] :
( ( ( r4 @ SV40 @ SV169 )
= $false )
| ( ( ! [SY3202: $i] :
( ~ ( r1 @ SV169 @ SY3202 )
| ( SV106 @ SY3202 ) ) )
= $true )
| ( ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(904,plain,
! [SV107: $i > $o,SV205: $i,SV41: $i] :
( ( ( ~ ( r5 @ SV41 @ SV205 ) )
= $true )
| ( ( ! [SY3228: $i] :
( ~ ( r1 @ SV205 @ SY3228 )
| ( SV107 @ SY3228 ) ) )
= $true )
| ( ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(905,plain,
! [SV107: $i > $o,SV170: $i,SV41: $i] :
( ( ( r5 @ SV41 @ SV170 )
= $false )
| ( ( ! [SY3203: $i] :
( ~ ( r1 @ SV170 @ SY3203 )
| ( SV107 @ SY3203 ) ) )
= $true )
| ( ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(906,plain,
! [SV108: $i > $o,SV206: $i,SV42: $i] :
( ( ( ~ ( r1 @ SV42 @ SV206 ) )
= $true )
| ( ( ! [SY3229: $i] :
( ~ ( r2 @ SV206 @ SY3229 )
| ( SV108 @ SY3229 ) ) )
= $true )
| ( ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(907,plain,
! [SV108: $i > $o,SV171: $i,SV42: $i] :
( ( ( r1 @ SV42 @ SV171 )
= $false )
| ( ( ! [SY3204: $i] :
( ~ ( r2 @ SV171 @ SY3204 )
| ( SV108 @ SY3204 ) ) )
= $true )
| ( ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(908,plain,
! [SV109: $i > $o,SV207: $i,SV43: $i] :
( ( ( ~ ( r2 @ SV43 @ SV207 ) )
= $true )
| ( ( ! [SY3230: $i] :
( ~ ( r2 @ SV207 @ SY3230 )
| ( SV109 @ SY3230 ) ) )
= $true )
| ( ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(909,plain,
! [SV109: $i > $o,SV172: $i,SV43: $i] :
( ( ( r2 @ SV43 @ SV172 )
= $false )
| ( ( ! [SY3205: $i] :
( ~ ( r2 @ SV172 @ SY3205 )
| ( SV109 @ SY3205 ) ) )
= $true )
| ( ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(910,plain,
! [SV110: $i > $o,SV208: $i,SV44: $i] :
( ( ( ~ ( r3 @ SV44 @ SV208 ) )
= $true )
| ( ( ! [SY3231: $i] :
( ~ ( r2 @ SV208 @ SY3231 )
| ( SV110 @ SY3231 ) ) )
= $true )
| ( ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(911,plain,
! [SV110: $i > $o,SV173: $i,SV44: $i] :
( ( ( r3 @ SV44 @ SV173 )
= $false )
| ( ( ! [SY3206: $i] :
( ~ ( r2 @ SV173 @ SY3206 )
| ( SV110 @ SY3206 ) ) )
= $true )
| ( ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(912,plain,
! [SV111: $i > $o,SV209: $i,SV45: $i] :
( ( ( ~ ( r4 @ SV45 @ SV209 ) )
= $true )
| ( ( ! [SY3232: $i] :
( ~ ( r2 @ SV209 @ SY3232 )
| ( SV111 @ SY3232 ) ) )
= $true )
| ( ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(913,plain,
! [SV111: $i > $o,SV174: $i,SV45: $i] :
( ( ( r4 @ SV45 @ SV174 )
= $false )
| ( ( ! [SY3207: $i] :
( ~ ( r2 @ SV174 @ SY3207 )
| ( SV111 @ SY3207 ) ) )
= $true )
| ( ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(914,plain,
! [SV112: $i > $o,SV210: $i,SV46: $i] :
( ( ( ~ ( r5 @ SV46 @ SV210 ) )
= $true )
| ( ( ! [SY3233: $i] :
( ~ ( r2 @ SV210 @ SY3233 )
| ( SV112 @ SY3233 ) ) )
= $true )
| ( ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(915,plain,
! [SV112: $i > $o,SV175: $i,SV46: $i] :
( ( ( r5 @ SV46 @ SV175 )
= $false )
| ( ( ! [SY3208: $i] :
( ~ ( r2 @ SV175 @ SY3208 )
| ( SV112 @ SY3208 ) ) )
= $true )
| ( ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(916,plain,
! [SV113: $i > $o,SV211: $i,SV47: $i] :
( ( ( ~ ( r1 @ SV47 @ SV211 ) )
= $true )
| ( ( ! [SY3234: $i] :
( ~ ( r3 @ SV211 @ SY3234 )
| ( SV113 @ SY3234 ) ) )
= $true )
| ( ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(917,plain,
! [SV113: $i > $o,SV176: $i,SV47: $i] :
( ( ( r1 @ SV47 @ SV176 )
= $false )
| ( ( ! [SY3209: $i] :
( ~ ( r3 @ SV176 @ SY3209 )
| ( SV113 @ SY3209 ) ) )
= $true )
| ( ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(918,plain,
! [SV114: $i > $o,SV212: $i,SV48: $i] :
( ( ( ~ ( r2 @ SV48 @ SV212 ) )
= $true )
| ( ( ! [SY3235: $i] :
( ~ ( r3 @ SV212 @ SY3235 )
| ( SV114 @ SY3235 ) ) )
= $true )
| ( ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(919,plain,
! [SV114: $i > $o,SV177: $i,SV48: $i] :
( ( ( r2 @ SV48 @ SV177 )
= $false )
| ( ( ! [SY3210: $i] :
( ~ ( r3 @ SV177 @ SY3210 )
| ( SV114 @ SY3210 ) ) )
= $true )
| ( ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(920,plain,
! [SV115: $i > $o,SV213: $i,SV49: $i] :
( ( ( ~ ( r3 @ SV49 @ SV213 ) )
= $true )
| ( ( ! [SY3236: $i] :
( ~ ( r3 @ SV213 @ SY3236 )
| ( SV115 @ SY3236 ) ) )
= $true )
| ( ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(921,plain,
! [SV115: $i > $o,SV178: $i,SV49: $i] :
( ( ( r3 @ SV49 @ SV178 )
= $false )
| ( ( ! [SY3211: $i] :
( ~ ( r3 @ SV178 @ SY3211 )
| ( SV115 @ SY3211 ) ) )
= $true )
| ( ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(922,plain,
! [SV116: $i > $o,SV214: $i,SV50: $i] :
( ( ( ~ ( r4 @ SV50 @ SV214 ) )
= $true )
| ( ( ! [SY3237: $i] :
( ~ ( r3 @ SV214 @ SY3237 )
| ( SV116 @ SY3237 ) ) )
= $true )
| ( ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(923,plain,
! [SV116: $i > $o,SV179: $i,SV50: $i] :
( ( ( r4 @ SV50 @ SV179 )
= $false )
| ( ( ! [SY3212: $i] :
( ~ ( r3 @ SV179 @ SY3212 )
| ( SV116 @ SY3212 ) ) )
= $true )
| ( ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(924,plain,
! [SV117: $i > $o,SV215: $i,SV51: $i] :
( ( ( ~ ( r5 @ SV51 @ SV215 ) )
= $true )
| ( ( ! [SY3238: $i] :
( ~ ( r3 @ SV215 @ SY3238 )
| ( SV117 @ SY3238 ) ) )
= $true )
| ( ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(925,plain,
! [SV117: $i > $o,SV180: $i,SV51: $i] :
( ( ( r5 @ SV51 @ SV180 )
= $false )
| ( ( ! [SY3213: $i] :
( ~ ( r3 @ SV180 @ SY3213 )
| ( SV117 @ SY3213 ) ) )
= $true )
| ( ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(926,plain,
! [SV118: $i > $o,SV216: $i,SV52: $i] :
( ( ( ~ ( r1 @ SV52 @ SV216 ) )
= $true )
| ( ( ! [SY3239: $i] :
( ~ ( r4 @ SV216 @ SY3239 )
| ( SV118 @ SY3239 ) ) )
= $true )
| ( ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(927,plain,
! [SV118: $i > $o,SV181: $i,SV52: $i] :
( ( ( r1 @ SV52 @ SV181 )
= $false )
| ( ( ! [SY3214: $i] :
( ~ ( r4 @ SV181 @ SY3214 )
| ( SV118 @ SY3214 ) ) )
= $true )
| ( ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(928,plain,
! [SV119: $i > $o,SV217: $i,SV53: $i] :
( ( ( ~ ( r2 @ SV53 @ SV217 ) )
= $true )
| ( ( ! [SY3240: $i] :
( ~ ( r4 @ SV217 @ SY3240 )
| ( SV119 @ SY3240 ) ) )
= $true )
| ( ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(929,plain,
! [SV119: $i > $o,SV182: $i,SV53: $i] :
( ( ( r2 @ SV53 @ SV182 )
= $false )
| ( ( ! [SY3215: $i] :
( ~ ( r4 @ SV182 @ SY3215 )
| ( SV119 @ SY3215 ) ) )
= $true )
| ( ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(930,plain,
! [SV120: $i > $o,SV218: $i,SV54: $i] :
( ( ( ~ ( r3 @ SV54 @ SV218 ) )
= $true )
| ( ( ! [SY3241: $i] :
( ~ ( r4 @ SV218 @ SY3241 )
| ( SV120 @ SY3241 ) ) )
= $true )
| ( ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(931,plain,
! [SV120: $i > $o,SV183: $i,SV54: $i] :
( ( ( r3 @ SV54 @ SV183 )
= $false )
| ( ( ! [SY3216: $i] :
( ~ ( r4 @ SV183 @ SY3216 )
| ( SV120 @ SY3216 ) ) )
= $true )
| ( ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[820]) ).
thf(932,plain,
! [SV121: $i > $o,SV219: $i,SV55: $i] :
( ( ( ~ ( r4 @ SV55 @ SV219 ) )
= $true )
| ( ( ! [SY3242: $i] :
( ~ ( r4 @ SV219 @ SY3242 )
| ( SV121 @ SY3242 ) ) )
= $true )
| ( ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(933,plain,
! [SV121: $i > $o,SV184: $i,SV55: $i] :
( ( ( r4 @ SV55 @ SV184 )
= $false )
| ( ( ! [SY3217: $i] :
( ~ ( r4 @ SV184 @ SY3217 )
| ( SV121 @ SY3217 ) ) )
= $true )
| ( ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(934,plain,
! [SV122: $i > $o,SV220: $i,SV56: $i] :
( ( ( ~ ( r5 @ SV56 @ SV220 ) )
= $true )
| ( ( ! [SY3243: $i] :
( ~ ( r4 @ SV220 @ SY3243 )
| ( SV122 @ SY3243 ) ) )
= $true )
| ( ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[823]) ).
thf(935,plain,
! [SV122: $i > $o,SV185: $i,SV56: $i] :
( ( ( r5 @ SV56 @ SV185 )
= $false )
| ( ( ! [SY3218: $i] :
( ~ ( r4 @ SV185 @ SY3218 )
| ( SV122 @ SY3218 ) ) )
= $true )
| ( ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(936,plain,
! [SV123: $i > $o,SV221: $i,SV57: $i] :
( ( ( ~ ( r1 @ SV57 @ SV221 ) )
= $true )
| ( ( ! [SY3244: $i] :
( ~ ( r5 @ SV221 @ SY3244 )
| ( SV123 @ SY3244 ) ) )
= $true )
| ( ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(937,plain,
! [SV123: $i > $o,SV186: $i,SV57: $i] :
( ( ( r1 @ SV57 @ SV186 )
= $false )
| ( ( ! [SY3219: $i] :
( ~ ( r5 @ SV186 @ SY3219 )
| ( SV123 @ SY3219 ) ) )
= $true )
| ( ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(938,plain,
! [SV124: $i > $o,SV222: $i,SV58: $i] :
( ( ( ~ ( r2 @ SV58 @ SV222 ) )
= $true )
| ( ( ! [SY3245: $i] :
( ~ ( r5 @ SV222 @ SY3245 )
| ( SV124 @ SY3245 ) ) )
= $true )
| ( ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[827]) ).
thf(939,plain,
! [SV124: $i > $o,SV187: $i,SV58: $i] :
( ( ( r2 @ SV58 @ SV187 )
= $false )
| ( ( ! [SY3220: $i] :
( ~ ( r5 @ SV187 @ SY3220 )
| ( SV124 @ SY3220 ) ) )
= $true )
| ( ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(940,plain,
! [SV125: $i > $o,SV223: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV223 ) )
= $true )
| ( ( ! [SY3246: $i] :
( ~ ( r5 @ SV223 @ SY3246 )
| ( SV125 @ SY3246 ) ) )
= $true )
| ( ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(941,plain,
! [SV125: $i > $o,SV188: $i,SV59: $i] :
( ( ( r3 @ SV59 @ SV188 )
= $false )
| ( ( ! [SY3221: $i] :
( ~ ( r5 @ SV188 @ SY3221 )
| ( SV125 @ SY3221 ) ) )
= $true )
| ( ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(942,plain,
! [SV126: $i > $o,SV224: $i,SV60: $i] :
( ( ( ~ ( r4 @ SV60 @ SV224 ) )
= $true )
| ( ( ! [SY3247: $i] :
( ~ ( r5 @ SV224 @ SY3247 )
| ( SV126 @ SY3247 ) ) )
= $true )
| ( ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(943,plain,
! [SV126: $i > $o,SV189: $i,SV60: $i] :
( ( ( r4 @ SV60 @ SV189 )
= $false )
| ( ( ! [SY3222: $i] :
( ~ ( r5 @ SV189 @ SY3222 )
| ( SV126 @ SY3222 ) ) )
= $true )
| ( ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(944,plain,
! [SV127: $i > $o,SV225: $i,SV61: $i] :
( ( ( ~ ( r5 @ SV61 @ SV225 ) )
= $true )
| ( ( ! [SY3248: $i] :
( ~ ( r5 @ SV225 @ SY3248 )
| ( SV127 @ SY3248 ) ) )
= $true )
| ( ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(945,plain,
! [SV127: $i > $o,SV190: $i,SV61: $i] :
( ( ( r5 @ SV61 @ SV190 )
= $false )
| ( ( ! [SY3223: $i] :
( ~ ( r5 @ SV190 @ SY3223 )
| ( SV127 @ SY3223 ) ) )
= $true )
| ( ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(946,plain,
! [SV151: $i,SV128: $i > $o,SV226: $i,SV62: $i] :
( ( ( ~ ( r1 @ SV62 @ SV226 )
| ~ ! [SY3249: $i] :
( ~ ( r1 @ SV226 @ SY3249 )
| ( SV128 @ SY3249 ) ) )
= $true )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(947,plain,
! [SV152: $i,SV129: $i > $o,SV227: $i,SV63: $i] :
( ( ( ~ ( r2 @ SV63 @ SV227 )
| ~ ! [SY3250: $i] :
( ~ ( r2 @ SV227 @ SY3250 )
| ( SV129 @ SY3250 ) ) )
= $true )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(948,plain,
! [SV153: $i,SV130: $i > $o,SV228: $i,SV64: $i] :
( ( ( ~ ( r3 @ SV64 @ SV228 )
| ~ ! [SY3251: $i] :
( ~ ( r3 @ SV228 @ SY3251 )
| ( SV130 @ SY3251 ) ) )
= $true )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(949,plain,
! [SV154: $i,SV131: $i > $o,SV229: $i,SV65: $i] :
( ( ( ~ ( r4 @ SV65 @ SV229 )
| ~ ! [SY3252: $i] :
( ~ ( r4 @ SV229 @ SY3252 )
| ( SV131 @ SY3252 ) ) )
= $true )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(950,plain,
! [SV155: $i,SV132: $i > $o,SV230: $i,SV66: $i] :
( ( ( ~ ( r5 @ SV66 @ SV230 )
| ~ ! [SY3253: $i] :
( ~ ( r5 @ SV230 @ SY3253 )
| ( SV132 @ SY3253 ) ) )
= $true )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[839]) ).
thf(951,plain,
! [SV69: mu,SV2: $i,SV133: $i] :
( ( ( r1 @ SV133 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $true )
| ( ( ! [SY3179: $i] :
( ~ ( r1 @ SV133 @ SY3179 )
| ( good_in_maths @ SV69 @ SY3179 ) ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(952,plain,
! [SV2: $i,SV69: mu,SV231: $i,SV133: $i] :
( ( ( ~ ( r1 @ SV133 @ SV231 )
| ( good_in_maths @ SV69 @ SV231 ) )
= $true )
| ( ( mathematician @ SV69 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $false )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(953,plain,
! [SV70: mu,SV3: $i,SV134: $i] :
( ( ( r2 @ SV134 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $true )
| ( ( ! [SY3181: $i] :
( ~ ( r2 @ SV134 @ SY3181 )
| ( good_in_maths @ SV70 @ SY3181 ) ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(954,plain,
! [SV3: $i,SV70: mu,SV232: $i,SV134: $i] :
( ( ( ~ ( r2 @ SV134 @ SV232 )
| ( good_in_maths @ SV70 @ SV232 ) )
= $true )
| ( ( mathematician @ SV70 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $false )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(955,plain,
! [SV71: mu,SV4: $i,SV135: $i] :
( ( ( r3 @ SV135 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $true )
| ( ( ! [SY3183: $i] :
( ~ ( r3 @ SV135 @ SY3183 )
| ( good_in_maths @ SV71 @ SY3183 ) ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(956,plain,
! [SV4: $i,SV71: mu,SV233: $i,SV135: $i] :
( ( ( ~ ( r3 @ SV135 @ SV233 )
| ( good_in_maths @ SV71 @ SV233 ) )
= $true )
| ( ( mathematician @ SV71 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $false )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(957,plain,
! [SV72: mu,SV5: $i,SV136: $i] :
( ( ( r4 @ SV136 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $true )
| ( ( ! [SY3185: $i] :
( ~ ( r4 @ SV136 @ SY3185 )
| ( good_in_maths @ SV72 @ SY3185 ) ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[846]) ).
thf(958,plain,
! [SV5: $i,SV72: mu,SV234: $i,SV136: $i] :
( ( ( ~ ( r4 @ SV136 @ SV234 )
| ( good_in_maths @ SV72 @ SV234 ) )
= $true )
| ( ( mathematician @ SV72 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $false )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(959,plain,
! [SV73: mu,SV6: $i,SV137: $i] :
( ( ( r5 @ SV137 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $true )
| ( ( ! [SY3187: $i] :
( ~ ( r5 @ SV137 @ SY3187 )
| ( good_in_maths @ SV73 @ SY3187 ) ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[848]) ).
thf(960,plain,
! [SV6: $i,SV73: mu,SV235: $i,SV137: $i] :
( ( ( ~ ( r5 @ SV137 @ SV235 )
| ( good_in_maths @ SV73 @ SV235 ) )
= $true )
| ( ( mathematician @ SV73 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $false )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(961,plain,
! [SV74: mu,SV7: $i,SV138: $i] :
( ( ( ~ ( r1 @ SV138 @ ( sK52_SY3188 @ SV7 @ SV74 @ SV138 ) ) )
= $false )
| ( ( maths_student @ SV74 @ SV138 )
= $false )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(962,plain,
! [SV138: $i,SV7: $i,SV74: mu] :
( ( ( ~ ( good_in_maths @ SV74 @ ( sK52_SY3188 @ SV7 @ SV74 @ SV138 ) ) )
= $false )
| ( ( maths_student @ SV74 @ SV138 )
= $false )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[850]) ).
thf(963,plain,
! [SV75: mu,SV8: $i,SV139: $i] :
( ( ( ~ ( r2 @ SV139 @ ( sK53_SY3189 @ SV8 @ SV75 @ SV139 ) ) )
= $false )
| ( ( maths_student @ SV75 @ SV139 )
= $false )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(964,plain,
! [SV139: $i,SV8: $i,SV75: mu] :
( ( ( ~ ( good_in_maths @ SV75 @ ( sK53_SY3189 @ SV8 @ SV75 @ SV139 ) ) )
= $false )
| ( ( maths_student @ SV75 @ SV139 )
= $false )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[851]) ).
thf(965,plain,
! [SV76: mu,SV9: $i,SV140: $i] :
( ( ( ~ ( r3 @ SV140 @ ( sK54_SY3190 @ SV9 @ SV76 @ SV140 ) ) )
= $false )
| ( ( maths_student @ SV76 @ SV140 )
= $false )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[852]) ).
thf(966,plain,
! [SV140: $i,SV9: $i,SV76: mu] :
( ( ( ~ ( good_in_maths @ SV76 @ ( sK54_SY3190 @ SV9 @ SV76 @ SV140 ) ) )
= $false )
| ( ( maths_student @ SV76 @ SV140 )
= $false )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[852]) ).
thf(967,plain,
! [SV77: mu,SV10: $i,SV141: $i] :
( ( ( ~ ( r4 @ SV141 @ ( sK55_SY3191 @ SV10 @ SV77 @ SV141 ) ) )
= $false )
| ( ( maths_student @ SV77 @ SV141 )
= $false )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(968,plain,
! [SV141: $i,SV10: $i,SV77: mu] :
( ( ( ~ ( good_in_maths @ SV77 @ ( sK55_SY3191 @ SV10 @ SV77 @ SV141 ) ) )
= $false )
| ( ( maths_student @ SV77 @ SV141 )
= $false )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[853]) ).
thf(969,plain,
! [SV78: mu,SV11: $i,SV142: $i] :
( ( ( ~ ( r5 @ SV142 @ ( sK56_SY3192 @ SV11 @ SV78 @ SV142 ) ) )
= $false )
| ( ( maths_student @ SV78 @ SV142 )
= $false )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(970,plain,
! [SV142: $i,SV11: $i,SV78: mu] :
( ( ( ~ ( good_in_maths @ SV78 @ ( sK56_SY3192 @ SV11 @ SV78 @ SV142 ) ) )
= $false )
| ( ( maths_student @ SV78 @ SV142 )
= $false )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[854]) ).
thf(971,plain,
! [SV79: mu,SV12: $i,SV143: $i] :
( ( ( ~ ( r1 @ SV143 @ ( sK57_SY3193 @ SV12 @ SV79 @ SV143 ) ) )
= $false )
| ( ( physics_student @ SV79 @ SV143 )
= $false )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[855]) ).
thf(972,plain,
! [SV143: $i,SV12: $i,SV79: mu] :
( ( ( ~ ( good_in_physics @ SV79 @ ( sK57_SY3193 @ SV12 @ SV79 @ SV143 ) ) )
= $false )
| ( ( physics_student @ SV79 @ SV143 )
= $false )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[855]) ).
thf(973,plain,
! [SV80: mu,SV13: $i,SV144: $i] :
( ( ( ~ ( r2 @ SV144 @ ( sK58_SY3194 @ SV13 @ SV80 @ SV144 ) ) )
= $false )
| ( ( physics_student @ SV80 @ SV144 )
= $false )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(974,plain,
! [SV144: $i,SV13: $i,SV80: mu] :
( ( ( ~ ( good_in_physics @ SV80 @ ( sK58_SY3194 @ SV13 @ SV80 @ SV144 ) ) )
= $false )
| ( ( physics_student @ SV80 @ SV144 )
= $false )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[856]) ).
thf(975,plain,
! [SV81: mu,SV14: $i,SV145: $i] :
( ( ( ~ ( r3 @ SV145 @ ( sK59_SY3195 @ SV14 @ SV81 @ SV145 ) ) )
= $false )
| ( ( physics_student @ SV81 @ SV145 )
= $false )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(976,plain,
! [SV145: $i,SV14: $i,SV81: mu] :
( ( ( ~ ( good_in_physics @ SV81 @ ( sK59_SY3195 @ SV14 @ SV81 @ SV145 ) ) )
= $false )
| ( ( physics_student @ SV81 @ SV145 )
= $false )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(977,plain,
! [SV82: mu,SV15: $i,SV146: $i] :
( ( ( ~ ( r4 @ SV146 @ ( sK60_SY3196 @ SV15 @ SV82 @ SV146 ) ) )
= $false )
| ( ( physics_student @ SV82 @ SV146 )
= $false )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(978,plain,
! [SV146: $i,SV15: $i,SV82: mu] :
( ( ( ~ ( good_in_physics @ SV82 @ ( sK60_SY3196 @ SV15 @ SV82 @ SV146 ) ) )
= $false )
| ( ( physics_student @ SV82 @ SV146 )
= $false )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(979,plain,
! [SV83: mu,SV16: $i,SV147: $i] :
( ( ( ~ ( r5 @ SV147 @ ( sK61_SY3197 @ SV16 @ SV83 @ SV147 ) ) )
= $false )
| ( ( physics_student @ SV83 @ SV147 )
= $false )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(980,plain,
! [SV147: $i,SV16: $i,SV83: mu] :
( ( ( ~ ( good_in_physics @ SV83 @ ( sK61_SY3197 @ SV16 @ SV83 @ SV147 ) ) )
= $false )
| ( ( physics_student @ SV83 @ SV147 )
= $false )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(981,plain,
! [SV84: mu,SV17: $i,SV148: $i] :
( ( ( ~ ( r2 @ SV148 @ ( sK62_SY3198 @ SV17 @ SV84 @ SV148 ) ) )
= $false )
| ( ( good_in_physics @ SV84 @ SV148 )
= $false )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(982,plain,
! [SV148: $i,SV17: $i,SV84: mu] :
( ( ( ~ ( good_in_maths @ SV84 @ ( sK62_SY3198 @ SV17 @ SV84 @ SV148 ) ) )
= $false )
| ( ( good_in_physics @ SV84 @ SV148 )
= $false )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[860]) ).
thf(983,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( ~ ( r1 @ SV22 @ ( sK63_SY3059 @ SV88 @ SV22 ) ) )
= $false )
| ( ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(984,plain,
! [SV22: $i,SV88: $i > $o] :
( ( ( ~ ( SV88 @ ( sK63_SY3059 @ SV88 @ SV22 ) ) )
= $false )
| ( ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(985,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( r1 @ SV22 @ ( sK47_SY3059 @ SV88 @ SV22 ) )
= $true )
| ( ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(986,plain,
! [SV22: $i,SV88: $i > $o] :
( ( ( SV88 @ ( sK47_SY3059 @ SV88 @ SV22 ) )
= $true )
| ( ( SV88 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(987,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( ~ ( r2 @ SV23 @ ( sK64_SY3061 @ SV89 @ SV23 ) ) )
= $false )
| ( ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[864]) ).
thf(988,plain,
! [SV23: $i,SV89: $i > $o] :
( ( ( ~ ( SV89 @ ( sK64_SY3061 @ SV89 @ SV23 ) ) )
= $false )
| ( ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[864]) ).
thf(989,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( r2 @ SV23 @ ( sK48_SY3061 @ SV89 @ SV23 ) )
= $true )
| ( ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(990,plain,
! [SV23: $i,SV89: $i > $o] :
( ( ( SV89 @ ( sK48_SY3061 @ SV89 @ SV23 ) )
= $true )
| ( ( SV89 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(991,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( ~ ( r3 @ SV24 @ ( sK65_SY3063 @ SV90 @ SV24 ) ) )
= $false )
| ( ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(992,plain,
! [SV24: $i,SV90: $i > $o] :
( ( ( ~ ( SV90 @ ( sK65_SY3063 @ SV90 @ SV24 ) ) )
= $false )
| ( ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[867]) ).
thf(993,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( r3 @ SV24 @ ( sK49_SY3063 @ SV90 @ SV24 ) )
= $true )
| ( ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(994,plain,
! [SV24: $i,SV90: $i > $o] :
( ( ( SV90 @ ( sK49_SY3063 @ SV90 @ SV24 ) )
= $true )
| ( ( SV90 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(995,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( ~ ( r4 @ SV25 @ ( sK66_SY3065 @ SV91 @ SV25 ) ) )
= $false )
| ( ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(996,plain,
! [SV25: $i,SV91: $i > $o] :
( ( ( ~ ( SV91 @ ( sK66_SY3065 @ SV91 @ SV25 ) ) )
= $false )
| ( ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(997,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( r4 @ SV25 @ ( sK50_SY3065 @ SV91 @ SV25 ) )
= $true )
| ( ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(998,plain,
! [SV25: $i,SV91: $i > $o] :
( ( ( SV91 @ ( sK50_SY3065 @ SV91 @ SV25 ) )
= $true )
| ( ( SV91 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(999,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( ~ ( r5 @ SV26 @ ( sK67_SY3067 @ SV92 @ SV26 ) ) )
= $false )
| ( ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(1000,plain,
! [SV26: $i,SV92: $i > $o] :
( ( ( ~ ( SV92 @ ( sK67_SY3067 @ SV92 @ SV26 ) ) )
= $false )
| ( ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(1001,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( r5 @ SV26 @ ( sK51_SY3067 @ SV92 @ SV26 ) )
= $true )
| ( ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[874]) ).
thf(1002,plain,
! [SV26: $i,SV92: $i > $o] :
( ( ( SV92 @ ( sK51_SY3067 @ SV92 @ SV26 ) )
= $true )
| ( ( SV92 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(1003,plain,
! [SV93: $i > $o,SV191: $i,SV27: $i] :
( ( ( r1 @ SV27 @ SV191 )
= $false )
| ( ( SV93 @ SV191 )
= $true )
| ( ( r2 @ SV27 @ ( sK7_SY3068 @ SV93 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(1004,plain,
! [SV94: $i > $o,SV192: $i,SV28: $i] :
( ( ( r1 @ SV28 @ SV192 )
= $false )
| ( ( SV94 @ SV192 )
= $true )
| ( ( r3 @ SV28 @ ( sK8_SY3070 @ SV94 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(1005,plain,
! [SV95: $i > $o,SV193: $i,SV29: $i] :
( ( ( r1 @ SV29 @ SV193 )
= $false )
| ( ( SV95 @ SV193 )
= $true )
| ( ( r4 @ SV29 @ ( sK9_SY3072 @ SV95 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(1006,plain,
! [SV96: $i > $o,SV194: $i,SV30: $i] :
( ( ( r1 @ SV30 @ SV194 )
= $false )
| ( ( SV96 @ SV194 )
= $true )
| ( ( r5 @ SV30 @ ( sK10_SY3074 @ SV96 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(1007,plain,
! [SV97: $i > $o,SV195: $i,SV31: $i] :
( ( ( r2 @ SV31 @ SV195 )
= $false )
| ( ( SV97 @ SV195 )
= $true )
| ( ( r3 @ SV31 @ ( sK11_SY3076 @ SV97 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(1008,plain,
! [SV98: $i > $o,SV196: $i,SV32: $i] :
( ( ( r2 @ SV32 @ SV196 )
= $false )
| ( ( SV98 @ SV196 )
= $true )
| ( ( r4 @ SV32 @ ( sK12_SY3078 @ SV98 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(1009,plain,
! [SV99: $i > $o,SV197: $i,SV33: $i] :
( ( ( r2 @ SV33 @ SV197 )
= $false )
| ( ( SV99 @ SV197 )
= $true )
| ( ( r5 @ SV33 @ ( sK13_SY3080 @ SV99 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(1010,plain,
! [SV100: $i > $o,SV198: $i,SV34: $i] :
( ( ( r3 @ SV34 @ SV198 )
= $false )
| ( ( SV100 @ SV198 )
= $true )
| ( ( r4 @ SV34 @ ( sK14_SY3082 @ SV100 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(1011,plain,
! [SV101: $i > $o,SV199: $i,SV35: $i] :
( ( ( r3 @ SV35 @ SV199 )
= $false )
| ( ( SV101 @ SV199 )
= $true )
| ( ( r5 @ SV35 @ ( sK15_SY3084 @ SV101 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(1012,plain,
! [SV102: $i > $o,SV200: $i,SV36: $i] :
( ( ( r4 @ SV36 @ SV200 )
= $false )
| ( ( SV102 @ SV200 )
= $true )
| ( ( r5 @ SV36 @ ( sK16_SY3086 @ SV102 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(1013,plain,
! [SV103: $i > $o,SV201: $i,SV37: $i] :
( ( ( r1 @ SV37 @ SV201 )
= $false )
| ( ( ! [SY3224: $i] :
( ~ ( r1 @ SV201 @ SY3224 )
| ( SV103 @ SY3224 ) ) )
= $true )
| ( ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(1014,plain,
! [SV37: $i,SV103: $i > $o,SV236: $i,SV166: $i] :
( ( ( ~ ( r1 @ SV166 @ SV236 )
| ( SV103 @ SV236 ) )
= $true )
| ( ( r1 @ SV37 @ SV166 )
= $false )
| ( ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(1015,plain,
! [SV104: $i > $o,SV202: $i,SV38: $i] :
( ( ( r2 @ SV38 @ SV202 )
= $false )
| ( ( ! [SY3225: $i] :
( ~ ( r1 @ SV202 @ SY3225 )
| ( SV104 @ SY3225 ) ) )
= $true )
| ( ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(1016,plain,
! [SV38: $i,SV104: $i > $o,SV237: $i,SV167: $i] :
( ( ( ~ ( r1 @ SV167 @ SV237 )
| ( SV104 @ SV237 ) )
= $true )
| ( ( r2 @ SV38 @ SV167 )
= $false )
| ( ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(1017,plain,
! [SV105: $i > $o,SV203: $i,SV39: $i] :
( ( ( r3 @ SV39 @ SV203 )
= $false )
| ( ( ! [SY3226: $i] :
( ~ ( r1 @ SV203 @ SY3226 )
| ( SV105 @ SY3226 ) ) )
= $true )
| ( ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(1018,plain,
! [SV39: $i,SV105: $i > $o,SV238: $i,SV168: $i] :
( ( ( ~ ( r1 @ SV168 @ SV238 )
| ( SV105 @ SV238 ) )
= $true )
| ( ( r3 @ SV39 @ SV168 )
= $false )
| ( ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(1019,plain,
! [SV106: $i > $o,SV204: $i,SV40: $i] :
( ( ( r4 @ SV40 @ SV204 )
= $false )
| ( ( ! [SY3227: $i] :
( ~ ( r1 @ SV204 @ SY3227 )
| ( SV106 @ SY3227 ) ) )
= $true )
| ( ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(1020,plain,
! [SV40: $i,SV106: $i > $o,SV239: $i,SV169: $i] :
( ( ( ~ ( r1 @ SV169 @ SV239 )
| ( SV106 @ SV239 ) )
= $true )
| ( ( r4 @ SV40 @ SV169 )
= $false )
| ( ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(1021,plain,
! [SV107: $i > $o,SV205: $i,SV41: $i] :
( ( ( r5 @ SV41 @ SV205 )
= $false )
| ( ( ! [SY3228: $i] :
( ~ ( r1 @ SV205 @ SY3228 )
| ( SV107 @ SY3228 ) ) )
= $true )
| ( ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(1022,plain,
! [SV41: $i,SV107: $i > $o,SV240: $i,SV170: $i] :
( ( ( ~ ( r1 @ SV170 @ SV240 )
| ( SV107 @ SV240 ) )
= $true )
| ( ( r5 @ SV41 @ SV170 )
= $false )
| ( ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1023,plain,
! [SV108: $i > $o,SV206: $i,SV42: $i] :
( ( ( r1 @ SV42 @ SV206 )
= $false )
| ( ( ! [SY3229: $i] :
( ~ ( r2 @ SV206 @ SY3229 )
| ( SV108 @ SY3229 ) ) )
= $true )
| ( ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(1024,plain,
! [SV42: $i,SV108: $i > $o,SV241: $i,SV171: $i] :
( ( ( ~ ( r2 @ SV171 @ SV241 )
| ( SV108 @ SV241 ) )
= $true )
| ( ( r1 @ SV42 @ SV171 )
= $false )
| ( ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(1025,plain,
! [SV109: $i > $o,SV207: $i,SV43: $i] :
( ( ( r2 @ SV43 @ SV207 )
= $false )
| ( ( ! [SY3230: $i] :
( ~ ( r2 @ SV207 @ SY3230 )
| ( SV109 @ SY3230 ) ) )
= $true )
| ( ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(1026,plain,
! [SV43: $i,SV109: $i > $o,SV242: $i,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ SV242 )
| ( SV109 @ SV242 ) )
= $true )
| ( ( r2 @ SV43 @ SV172 )
= $false )
| ( ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1027,plain,
! [SV110: $i > $o,SV208: $i,SV44: $i] :
( ( ( r3 @ SV44 @ SV208 )
= $false )
| ( ( ! [SY3231: $i] :
( ~ ( r2 @ SV208 @ SY3231 )
| ( SV110 @ SY3231 ) ) )
= $true )
| ( ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(1028,plain,
! [SV44: $i,SV110: $i > $o,SV243: $i,SV173: $i] :
( ( ( ~ ( r2 @ SV173 @ SV243 )
| ( SV110 @ SV243 ) )
= $true )
| ( ( r3 @ SV44 @ SV173 )
= $false )
| ( ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(1029,plain,
! [SV111: $i > $o,SV209: $i,SV45: $i] :
( ( ( r4 @ SV45 @ SV209 )
= $false )
| ( ( ! [SY3232: $i] :
( ~ ( r2 @ SV209 @ SY3232 )
| ( SV111 @ SY3232 ) ) )
= $true )
| ( ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(1030,plain,
! [SV45: $i,SV111: $i > $o,SV244: $i,SV174: $i] :
( ( ( ~ ( r2 @ SV174 @ SV244 )
| ( SV111 @ SV244 ) )
= $true )
| ( ( r4 @ SV45 @ SV174 )
= $false )
| ( ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1031,plain,
! [SV112: $i > $o,SV210: $i,SV46: $i] :
( ( ( r5 @ SV46 @ SV210 )
= $false )
| ( ( ! [SY3233: $i] :
( ~ ( r2 @ SV210 @ SY3233 )
| ( SV112 @ SY3233 ) ) )
= $true )
| ( ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(1032,plain,
! [SV46: $i,SV112: $i > $o,SV245: $i,SV175: $i] :
( ( ( ~ ( r2 @ SV175 @ SV245 )
| ( SV112 @ SV245 ) )
= $true )
| ( ( r5 @ SV46 @ SV175 )
= $false )
| ( ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1033,plain,
! [SV113: $i > $o,SV211: $i,SV47: $i] :
( ( ( r1 @ SV47 @ SV211 )
= $false )
| ( ( ! [SY3234: $i] :
( ~ ( r3 @ SV211 @ SY3234 )
| ( SV113 @ SY3234 ) ) )
= $true )
| ( ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1034,plain,
! [SV47: $i,SV113: $i > $o,SV246: $i,SV176: $i] :
( ( ( ~ ( r3 @ SV176 @ SV246 )
| ( SV113 @ SV246 ) )
= $true )
| ( ( r1 @ SV47 @ SV176 )
= $false )
| ( ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1035,plain,
! [SV114: $i > $o,SV212: $i,SV48: $i] :
( ( ( r2 @ SV48 @ SV212 )
= $false )
| ( ( ! [SY3235: $i] :
( ~ ( r3 @ SV212 @ SY3235 )
| ( SV114 @ SY3235 ) ) )
= $true )
| ( ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(1036,plain,
! [SV48: $i,SV114: $i > $o,SV247: $i,SV177: $i] :
( ( ( ~ ( r3 @ SV177 @ SV247 )
| ( SV114 @ SV247 ) )
= $true )
| ( ( r2 @ SV48 @ SV177 )
= $false )
| ( ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1037,plain,
! [SV115: $i > $o,SV213: $i,SV49: $i] :
( ( ( r3 @ SV49 @ SV213 )
= $false )
| ( ( ! [SY3236: $i] :
( ~ ( r3 @ SV213 @ SY3236 )
| ( SV115 @ SY3236 ) ) )
= $true )
| ( ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(1038,plain,
! [SV49: $i,SV115: $i > $o,SV248: $i,SV178: $i] :
( ( ( ~ ( r3 @ SV178 @ SV248 )
| ( SV115 @ SV248 ) )
= $true )
| ( ( r3 @ SV49 @ SV178 )
= $false )
| ( ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1039,plain,
! [SV116: $i > $o,SV214: $i,SV50: $i] :
( ( ( r4 @ SV50 @ SV214 )
= $false )
| ( ( ! [SY3237: $i] :
( ~ ( r3 @ SV214 @ SY3237 )
| ( SV116 @ SY3237 ) ) )
= $true )
| ( ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1040,plain,
! [SV50: $i,SV116: $i > $o,SV249: $i,SV179: $i] :
( ( ( ~ ( r3 @ SV179 @ SV249 )
| ( SV116 @ SV249 ) )
= $true )
| ( ( r4 @ SV50 @ SV179 )
= $false )
| ( ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(1041,plain,
! [SV117: $i > $o,SV215: $i,SV51: $i] :
( ( ( r5 @ SV51 @ SV215 )
= $false )
| ( ( ! [SY3238: $i] :
( ~ ( r3 @ SV215 @ SY3238 )
| ( SV117 @ SY3238 ) ) )
= $true )
| ( ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(1042,plain,
! [SV51: $i,SV117: $i > $o,SV250: $i,SV180: $i] :
( ( ( ~ ( r3 @ SV180 @ SV250 )
| ( SV117 @ SV250 ) )
= $true )
| ( ( r5 @ SV51 @ SV180 )
= $false )
| ( ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1043,plain,
! [SV118: $i > $o,SV216: $i,SV52: $i] :
( ( ( r1 @ SV52 @ SV216 )
= $false )
| ( ( ! [SY3239: $i] :
( ~ ( r4 @ SV216 @ SY3239 )
| ( SV118 @ SY3239 ) ) )
= $true )
| ( ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(1044,plain,
! [SV52: $i,SV118: $i > $o,SV251: $i,SV181: $i] :
( ( ( ~ ( r4 @ SV181 @ SV251 )
| ( SV118 @ SV251 ) )
= $true )
| ( ( r1 @ SV52 @ SV181 )
= $false )
| ( ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1045,plain,
! [SV119: $i > $o,SV217: $i,SV53: $i] :
( ( ( r2 @ SV53 @ SV217 )
= $false )
| ( ( ! [SY3240: $i] :
( ~ ( r4 @ SV217 @ SY3240 )
| ( SV119 @ SY3240 ) ) )
= $true )
| ( ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1046,plain,
! [SV53: $i,SV119: $i > $o,SV252: $i,SV182: $i] :
( ( ( ~ ( r4 @ SV182 @ SV252 )
| ( SV119 @ SV252 ) )
= $true )
| ( ( r2 @ SV53 @ SV182 )
= $false )
| ( ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1047,plain,
! [SV120: $i > $o,SV218: $i,SV54: $i] :
( ( ( r3 @ SV54 @ SV218 )
= $false )
| ( ( ! [SY3241: $i] :
( ~ ( r4 @ SV218 @ SY3241 )
| ( SV120 @ SY3241 ) ) )
= $true )
| ( ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1048,plain,
! [SV54: $i,SV120: $i > $o,SV253: $i,SV183: $i] :
( ( ( ~ ( r4 @ SV183 @ SV253 )
| ( SV120 @ SV253 ) )
= $true )
| ( ( r3 @ SV54 @ SV183 )
= $false )
| ( ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1049,plain,
! [SV121: $i > $o,SV219: $i,SV55: $i] :
( ( ( r4 @ SV55 @ SV219 )
= $false )
| ( ( ! [SY3242: $i] :
( ~ ( r4 @ SV219 @ SY3242 )
| ( SV121 @ SY3242 ) ) )
= $true )
| ( ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1050,plain,
! [SV55: $i,SV121: $i > $o,SV254: $i,SV184: $i] :
( ( ( ~ ( r4 @ SV184 @ SV254 )
| ( SV121 @ SV254 ) )
= $true )
| ( ( r4 @ SV55 @ SV184 )
= $false )
| ( ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1051,plain,
! [SV122: $i > $o,SV220: $i,SV56: $i] :
( ( ( r5 @ SV56 @ SV220 )
= $false )
| ( ( ! [SY3243: $i] :
( ~ ( r4 @ SV220 @ SY3243 )
| ( SV122 @ SY3243 ) ) )
= $true )
| ( ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(1052,plain,
! [SV56: $i,SV122: $i > $o,SV255: $i,SV185: $i] :
( ( ( ~ ( r4 @ SV185 @ SV255 )
| ( SV122 @ SV255 ) )
= $true )
| ( ( r5 @ SV56 @ SV185 )
= $false )
| ( ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1053,plain,
! [SV123: $i > $o,SV221: $i,SV57: $i] :
( ( ( r1 @ SV57 @ SV221 )
= $false )
| ( ( ! [SY3244: $i] :
( ~ ( r5 @ SV221 @ SY3244 )
| ( SV123 @ SY3244 ) ) )
= $true )
| ( ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1054,plain,
! [SV57: $i,SV123: $i > $o,SV256: $i,SV186: $i] :
( ( ( ~ ( r5 @ SV186 @ SV256 )
| ( SV123 @ SV256 ) )
= $true )
| ( ( r1 @ SV57 @ SV186 )
= $false )
| ( ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1055,plain,
! [SV124: $i > $o,SV222: $i,SV58: $i] :
( ( ( r2 @ SV58 @ SV222 )
= $false )
| ( ( ! [SY3245: $i] :
( ~ ( r5 @ SV222 @ SY3245 )
| ( SV124 @ SY3245 ) ) )
= $true )
| ( ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1056,plain,
! [SV58: $i,SV124: $i > $o,SV257: $i,SV187: $i] :
( ( ( ~ ( r5 @ SV187 @ SV257 )
| ( SV124 @ SV257 ) )
= $true )
| ( ( r2 @ SV58 @ SV187 )
= $false )
| ( ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1057,plain,
! [SV125: $i > $o,SV223: $i,SV59: $i] :
( ( ( r3 @ SV59 @ SV223 )
= $false )
| ( ( ! [SY3246: $i] :
( ~ ( r5 @ SV223 @ SY3246 )
| ( SV125 @ SY3246 ) ) )
= $true )
| ( ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1058,plain,
! [SV59: $i,SV125: $i > $o,SV258: $i,SV188: $i] :
( ( ( ~ ( r5 @ SV188 @ SV258 )
| ( SV125 @ SV258 ) )
= $true )
| ( ( r3 @ SV59 @ SV188 )
= $false )
| ( ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[941]) ).
thf(1059,plain,
! [SV126: $i > $o,SV224: $i,SV60: $i] :
( ( ( r4 @ SV60 @ SV224 )
= $false )
| ( ( ! [SY3247: $i] :
( ~ ( r5 @ SV224 @ SY3247 )
| ( SV126 @ SY3247 ) ) )
= $true )
| ( ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1060,plain,
! [SV60: $i,SV126: $i > $o,SV259: $i,SV189: $i] :
( ( ( ~ ( r5 @ SV189 @ SV259 )
| ( SV126 @ SV259 ) )
= $true )
| ( ( r4 @ SV60 @ SV189 )
= $false )
| ( ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1061,plain,
! [SV127: $i > $o,SV225: $i,SV61: $i] :
( ( ( r5 @ SV61 @ SV225 )
= $false )
| ( ( ! [SY3248: $i] :
( ~ ( r5 @ SV225 @ SY3248 )
| ( SV127 @ SY3248 ) ) )
= $true )
| ( ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1062,plain,
! [SV61: $i,SV127: $i > $o,SV260: $i,SV190: $i] :
( ( ( ~ ( r5 @ SV190 @ SV260 )
| ( SV127 @ SV260 ) )
= $true )
| ( ( r5 @ SV61 @ SV190 )
= $false )
| ( ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1063,plain,
! [SV151: $i,SV128: $i > $o,SV226: $i,SV62: $i] :
( ( ( ~ ( r1 @ SV62 @ SV226 ) )
= $true )
| ( ( ~ ! [SY3249: $i] :
( ~ ( r1 @ SV226 @ SY3249 )
| ( SV128 @ SY3249 ) ) )
= $true )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1064,plain,
! [SV152: $i,SV129: $i > $o,SV227: $i,SV63: $i] :
( ( ( ~ ( r2 @ SV63 @ SV227 ) )
= $true )
| ( ( ~ ! [SY3250: $i] :
( ~ ( r2 @ SV227 @ SY3250 )
| ( SV129 @ SY3250 ) ) )
= $true )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(1065,plain,
! [SV153: $i,SV130: $i > $o,SV228: $i,SV64: $i] :
( ( ( ~ ( r3 @ SV64 @ SV228 ) )
= $true )
| ( ( ~ ! [SY3251: $i] :
( ~ ( r3 @ SV228 @ SY3251 )
| ( SV130 @ SY3251 ) ) )
= $true )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(1066,plain,
! [SV154: $i,SV131: $i > $o,SV229: $i,SV65: $i] :
( ( ( ~ ( r4 @ SV65 @ SV229 ) )
= $true )
| ( ( ~ ! [SY3252: $i] :
( ~ ( r4 @ SV229 @ SY3252 )
| ( SV131 @ SY3252 ) ) )
= $true )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1067,plain,
! [SV155: $i,SV132: $i > $o,SV230: $i,SV66: $i] :
( ( ( ~ ( r5 @ SV66 @ SV230 ) )
= $true )
| ( ( ~ ! [SY3253: $i] :
( ~ ( r5 @ SV230 @ SY3253 )
| ( SV132 @ SY3253 ) ) )
= $true )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1068,plain,
! [SV2: $i,SV69: mu,SV261: $i,SV133: $i] :
( ( ( ~ ( r1 @ SV133 @ SV261 )
| ( good_in_maths @ SV69 @ SV261 ) )
= $true )
| ( ( r1 @ SV133 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1069,plain,
! [SV2: $i,SV69: mu,SV231: $i,SV133: $i] :
( ( ( ~ ( r1 @ SV133 @ SV231 ) )
= $true )
| ( ( good_in_maths @ SV69 @ SV231 )
= $true )
| ( ( mathematician @ SV69 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $false )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1070,plain,
! [SV3: $i,SV70: mu,SV262: $i,SV134: $i] :
( ( ( ~ ( r2 @ SV134 @ SV262 )
| ( good_in_maths @ SV70 @ SV262 ) )
= $true )
| ( ( r2 @ SV134 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[953]) ).
thf(1071,plain,
! [SV3: $i,SV70: mu,SV232: $i,SV134: $i] :
( ( ( ~ ( r2 @ SV134 @ SV232 ) )
= $true )
| ( ( good_in_maths @ SV70 @ SV232 )
= $true )
| ( ( mathematician @ SV70 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $false )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1072,plain,
! [SV4: $i,SV71: mu,SV263: $i,SV135: $i] :
( ( ( ~ ( r3 @ SV135 @ SV263 )
| ( good_in_maths @ SV71 @ SV263 ) )
= $true )
| ( ( r3 @ SV135 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1073,plain,
! [SV4: $i,SV71: mu,SV233: $i,SV135: $i] :
( ( ( ~ ( r3 @ SV135 @ SV233 ) )
= $true )
| ( ( good_in_maths @ SV71 @ SV233 )
= $true )
| ( ( mathematician @ SV71 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $false )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(1074,plain,
! [SV5: $i,SV72: mu,SV264: $i,SV136: $i] :
( ( ( ~ ( r4 @ SV136 @ SV264 )
| ( good_in_maths @ SV72 @ SV264 ) )
= $true )
| ( ( r4 @ SV136 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1075,plain,
! [SV5: $i,SV72: mu,SV234: $i,SV136: $i] :
( ( ( ~ ( r4 @ SV136 @ SV234 ) )
= $true )
| ( ( good_in_maths @ SV72 @ SV234 )
= $true )
| ( ( mathematician @ SV72 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $false )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[958]) ).
thf(1076,plain,
! [SV6: $i,SV73: mu,SV265: $i,SV137: $i] :
( ( ( ~ ( r5 @ SV137 @ SV265 )
| ( good_in_maths @ SV73 @ SV265 ) )
= $true )
| ( ( r5 @ SV137 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1077,plain,
! [SV6: $i,SV73: mu,SV235: $i,SV137: $i] :
( ( ( ~ ( r5 @ SV137 @ SV235 ) )
= $true )
| ( ( good_in_maths @ SV73 @ SV235 )
= $true )
| ( ( mathematician @ SV73 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $false )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[960]) ).
thf(1078,plain,
! [SV74: mu,SV7: $i,SV138: $i] :
( ( ( r1 @ SV138 @ ( sK52_SY3188 @ SV7 @ SV74 @ SV138 ) )
= $true )
| ( ( maths_student @ SV74 @ SV138 )
= $false )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1079,plain,
! [SV138: $i,SV7: $i,SV74: mu] :
( ( ( good_in_maths @ SV74 @ ( sK52_SY3188 @ SV7 @ SV74 @ SV138 ) )
= $true )
| ( ( maths_student @ SV74 @ SV138 )
= $false )
| ( ( r3 @ SV7 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1080,plain,
! [SV75: mu,SV8: $i,SV139: $i] :
( ( ( r2 @ SV139 @ ( sK53_SY3189 @ SV8 @ SV75 @ SV139 ) )
= $true )
| ( ( maths_student @ SV75 @ SV139 )
= $false )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[963]) ).
thf(1081,plain,
! [SV139: $i,SV8: $i,SV75: mu] :
( ( ( good_in_maths @ SV75 @ ( sK53_SY3189 @ SV8 @ SV75 @ SV139 ) )
= $true )
| ( ( maths_student @ SV75 @ SV139 )
= $false )
| ( ( r3 @ SV8 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[964]) ).
thf(1082,plain,
! [SV76: mu,SV9: $i,SV140: $i] :
( ( ( r3 @ SV140 @ ( sK54_SY3190 @ SV9 @ SV76 @ SV140 ) )
= $true )
| ( ( maths_student @ SV76 @ SV140 )
= $false )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[965]) ).
thf(1083,plain,
! [SV140: $i,SV9: $i,SV76: mu] :
( ( ( good_in_maths @ SV76 @ ( sK54_SY3190 @ SV9 @ SV76 @ SV140 ) )
= $true )
| ( ( maths_student @ SV76 @ SV140 )
= $false )
| ( ( r3 @ SV9 @ SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[966]) ).
thf(1084,plain,
! [SV77: mu,SV10: $i,SV141: $i] :
( ( ( r4 @ SV141 @ ( sK55_SY3191 @ SV10 @ SV77 @ SV141 ) )
= $true )
| ( ( maths_student @ SV77 @ SV141 )
= $false )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1085,plain,
! [SV141: $i,SV10: $i,SV77: mu] :
( ( ( good_in_maths @ SV77 @ ( sK55_SY3191 @ SV10 @ SV77 @ SV141 ) )
= $true )
| ( ( maths_student @ SV77 @ SV141 )
= $false )
| ( ( r3 @ SV10 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1086,plain,
! [SV78: mu,SV11: $i,SV142: $i] :
( ( ( r5 @ SV142 @ ( sK56_SY3192 @ SV11 @ SV78 @ SV142 ) )
= $true )
| ( ( maths_student @ SV78 @ SV142 )
= $false )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[969]) ).
thf(1087,plain,
! [SV142: $i,SV11: $i,SV78: mu] :
( ( ( good_in_maths @ SV78 @ ( sK56_SY3192 @ SV11 @ SV78 @ SV142 ) )
= $true )
| ( ( maths_student @ SV78 @ SV142 )
= $false )
| ( ( r3 @ SV11 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1088,plain,
! [SV79: mu,SV12: $i,SV143: $i] :
( ( ( r1 @ SV143 @ ( sK57_SY3193 @ SV12 @ SV79 @ SV143 ) )
= $true )
| ( ( physics_student @ SV79 @ SV143 )
= $false )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1089,plain,
! [SV143: $i,SV12: $i,SV79: mu] :
( ( ( good_in_physics @ SV79 @ ( sK57_SY3193 @ SV12 @ SV79 @ SV143 ) )
= $true )
| ( ( physics_student @ SV79 @ SV143 )
= $false )
| ( ( r3 @ SV12 @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1090,plain,
! [SV80: mu,SV13: $i,SV144: $i] :
( ( ( r2 @ SV144 @ ( sK58_SY3194 @ SV13 @ SV80 @ SV144 ) )
= $true )
| ( ( physics_student @ SV80 @ SV144 )
= $false )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1091,plain,
! [SV144: $i,SV13: $i,SV80: mu] :
( ( ( good_in_physics @ SV80 @ ( sK58_SY3194 @ SV13 @ SV80 @ SV144 ) )
= $true )
| ( ( physics_student @ SV80 @ SV144 )
= $false )
| ( ( r3 @ SV13 @ SV144 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1092,plain,
! [SV81: mu,SV14: $i,SV145: $i] :
( ( ( r3 @ SV145 @ ( sK59_SY3195 @ SV14 @ SV81 @ SV145 ) )
= $true )
| ( ( physics_student @ SV81 @ SV145 )
= $false )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1093,plain,
! [SV145: $i,SV14: $i,SV81: mu] :
( ( ( good_in_physics @ SV81 @ ( sK59_SY3195 @ SV14 @ SV81 @ SV145 ) )
= $true )
| ( ( physics_student @ SV81 @ SV145 )
= $false )
| ( ( r3 @ SV14 @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1094,plain,
! [SV82: mu,SV15: $i,SV146: $i] :
( ( ( r4 @ SV146 @ ( sK60_SY3196 @ SV15 @ SV82 @ SV146 ) )
= $true )
| ( ( physics_student @ SV82 @ SV146 )
= $false )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1095,plain,
! [SV146: $i,SV15: $i,SV82: mu] :
( ( ( good_in_physics @ SV82 @ ( sK60_SY3196 @ SV15 @ SV82 @ SV146 ) )
= $true )
| ( ( physics_student @ SV82 @ SV146 )
= $false )
| ( ( r3 @ SV15 @ SV146 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1096,plain,
! [SV83: mu,SV16: $i,SV147: $i] :
( ( ( r5 @ SV147 @ ( sK61_SY3197 @ SV16 @ SV83 @ SV147 ) )
= $true )
| ( ( physics_student @ SV83 @ SV147 )
= $false )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1097,plain,
! [SV147: $i,SV16: $i,SV83: mu] :
( ( ( good_in_physics @ SV83 @ ( sK61_SY3197 @ SV16 @ SV83 @ SV147 ) )
= $true )
| ( ( physics_student @ SV83 @ SV147 )
= $false )
| ( ( r3 @ SV16 @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1098,plain,
! [SV84: mu,SV17: $i,SV148: $i] :
( ( ( r2 @ SV148 @ ( sK62_SY3198 @ SV17 @ SV84 @ SV148 ) )
= $true )
| ( ( good_in_physics @ SV84 @ SV148 )
= $false )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1099,plain,
! [SV148: $i,SV17: $i,SV84: mu] :
( ( ( good_in_maths @ SV84 @ ( sK62_SY3198 @ SV17 @ SV84 @ SV148 ) )
= $true )
| ( ( good_in_physics @ SV84 @ SV148 )
= $false )
| ( ( r2 @ SV17 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1100,plain,
! [SV88: $i > $o,SV22: $i] :
( ( ( r1 @ SV22 @ ( sK63_SY3059 @ SV88 @ SV22 ) )
= $true )
| ( ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1101,plain,
! [SV22: $i,SV88: $i > $o] :
( ( ( SV88 @ ( sK63_SY3059 @ SV88 @ SV22 ) )
= $true )
| ( ( r1 @ SV22 @ ( sK2_SY3058 @ SV88 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1102,plain,
! [SV89: $i > $o,SV23: $i] :
( ( ( r2 @ SV23 @ ( sK64_SY3061 @ SV89 @ SV23 ) )
= $true )
| ( ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1103,plain,
! [SV23: $i,SV89: $i > $o] :
( ( ( SV89 @ ( sK64_SY3061 @ SV89 @ SV23 ) )
= $true )
| ( ( r2 @ SV23 @ ( sK3_SY3060 @ SV89 @ SV23 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1104,plain,
! [SV90: $i > $o,SV24: $i] :
( ( ( r3 @ SV24 @ ( sK65_SY3063 @ SV90 @ SV24 ) )
= $true )
| ( ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1105,plain,
! [SV24: $i,SV90: $i > $o] :
( ( ( SV90 @ ( sK65_SY3063 @ SV90 @ SV24 ) )
= $true )
| ( ( r3 @ SV24 @ ( sK4_SY3062 @ SV90 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1106,plain,
! [SV91: $i > $o,SV25: $i] :
( ( ( r4 @ SV25 @ ( sK66_SY3065 @ SV91 @ SV25 ) )
= $true )
| ( ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1107,plain,
! [SV25: $i,SV91: $i > $o] :
( ( ( SV91 @ ( sK66_SY3065 @ SV91 @ SV25 ) )
= $true )
| ( ( r4 @ SV25 @ ( sK5_SY3064 @ SV91 @ SV25 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1108,plain,
! [SV92: $i > $o,SV26: $i] :
( ( ( r5 @ SV26 @ ( sK67_SY3067 @ SV92 @ SV26 ) )
= $true )
| ( ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1109,plain,
! [SV26: $i,SV92: $i > $o] :
( ( ( SV92 @ ( sK67_SY3067 @ SV92 @ SV26 ) )
= $true )
| ( ( r5 @ SV26 @ ( sK6_SY3066 @ SV92 @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1110,plain,
! [SV37: $i,SV103: $i > $o,SV266: $i,SV201: $i] :
( ( ( ~ ( r1 @ SV201 @ SV266 )
| ( SV103 @ SV266 ) )
= $true )
| ( ( r1 @ SV37 @ SV201 )
= $false )
| ( ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1111,plain,
! [SV37: $i,SV103: $i > $o,SV236: $i,SV166: $i] :
( ( ( ~ ( r1 @ SV166 @ SV236 ) )
= $true )
| ( ( SV103 @ SV236 )
= $true )
| ( ( r1 @ SV37 @ SV166 )
= $false )
| ( ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1112,plain,
! [SV38: $i,SV104: $i > $o,SV267: $i,SV202: $i] :
( ( ( ~ ( r1 @ SV202 @ SV267 )
| ( SV104 @ SV267 ) )
= $true )
| ( ( r2 @ SV38 @ SV202 )
= $false )
| ( ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1113,plain,
! [SV38: $i,SV104: $i > $o,SV237: $i,SV167: $i] :
( ( ( ~ ( r1 @ SV167 @ SV237 ) )
= $true )
| ( ( SV104 @ SV237 )
= $true )
| ( ( r2 @ SV38 @ SV167 )
= $false )
| ( ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1114,plain,
! [SV39: $i,SV105: $i > $o,SV268: $i,SV203: $i] :
( ( ( ~ ( r1 @ SV203 @ SV268 )
| ( SV105 @ SV268 ) )
= $true )
| ( ( r3 @ SV39 @ SV203 )
= $false )
| ( ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1017]) ).
thf(1115,plain,
! [SV39: $i,SV105: $i > $o,SV238: $i,SV168: $i] :
( ( ( ~ ( r1 @ SV168 @ SV238 ) )
= $true )
| ( ( SV105 @ SV238 )
= $true )
| ( ( r3 @ SV39 @ SV168 )
= $false )
| ( ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1116,plain,
! [SV40: $i,SV106: $i > $o,SV269: $i,SV204: $i] :
( ( ( ~ ( r1 @ SV204 @ SV269 )
| ( SV106 @ SV269 ) )
= $true )
| ( ( r4 @ SV40 @ SV204 )
= $false )
| ( ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1117,plain,
! [SV40: $i,SV106: $i > $o,SV239: $i,SV169: $i] :
( ( ( ~ ( r1 @ SV169 @ SV239 ) )
= $true )
| ( ( SV106 @ SV239 )
= $true )
| ( ( r4 @ SV40 @ SV169 )
= $false )
| ( ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1118,plain,
! [SV41: $i,SV107: $i > $o,SV270: $i,SV205: $i] :
( ( ( ~ ( r1 @ SV205 @ SV270 )
| ( SV107 @ SV270 ) )
= $true )
| ( ( r5 @ SV41 @ SV205 )
= $false )
| ( ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1119,plain,
! [SV41: $i,SV107: $i > $o,SV240: $i,SV170: $i] :
( ( ( ~ ( r1 @ SV170 @ SV240 ) )
= $true )
| ( ( SV107 @ SV240 )
= $true )
| ( ( r5 @ SV41 @ SV170 )
= $false )
| ( ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1120,plain,
! [SV42: $i,SV108: $i > $o,SV271: $i,SV206: $i] :
( ( ( ~ ( r2 @ SV206 @ SV271 )
| ( SV108 @ SV271 ) )
= $true )
| ( ( r1 @ SV42 @ SV206 )
= $false )
| ( ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1121,plain,
! [SV42: $i,SV108: $i > $o,SV241: $i,SV171: $i] :
( ( ( ~ ( r2 @ SV171 @ SV241 ) )
= $true )
| ( ( SV108 @ SV241 )
= $true )
| ( ( r1 @ SV42 @ SV171 )
= $false )
| ( ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1122,plain,
! [SV43: $i,SV109: $i > $o,SV272: $i,SV207: $i] :
( ( ( ~ ( r2 @ SV207 @ SV272 )
| ( SV109 @ SV272 ) )
= $true )
| ( ( r2 @ SV43 @ SV207 )
= $false )
| ( ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1025]) ).
thf(1123,plain,
! [SV43: $i,SV109: $i > $o,SV242: $i,SV172: $i] :
( ( ( ~ ( r2 @ SV172 @ SV242 ) )
= $true )
| ( ( SV109 @ SV242 )
= $true )
| ( ( r2 @ SV43 @ SV172 )
= $false )
| ( ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1124,plain,
! [SV44: $i,SV110: $i > $o,SV273: $i,SV208: $i] :
( ( ( ~ ( r2 @ SV208 @ SV273 )
| ( SV110 @ SV273 ) )
= $true )
| ( ( r3 @ SV44 @ SV208 )
= $false )
| ( ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1125,plain,
! [SV44: $i,SV110: $i > $o,SV243: $i,SV173: $i] :
( ( ( ~ ( r2 @ SV173 @ SV243 ) )
= $true )
| ( ( SV110 @ SV243 )
= $true )
| ( ( r3 @ SV44 @ SV173 )
= $false )
| ( ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1126,plain,
! [SV45: $i,SV111: $i > $o,SV274: $i,SV209: $i] :
( ( ( ~ ( r2 @ SV209 @ SV274 )
| ( SV111 @ SV274 ) )
= $true )
| ( ( r4 @ SV45 @ SV209 )
= $false )
| ( ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1029]) ).
thf(1127,plain,
! [SV45: $i,SV111: $i > $o,SV244: $i,SV174: $i] :
( ( ( ~ ( r2 @ SV174 @ SV244 ) )
= $true )
| ( ( SV111 @ SV244 )
= $true )
| ( ( r4 @ SV45 @ SV174 )
= $false )
| ( ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1128,plain,
! [SV46: $i,SV112: $i > $o,SV275: $i,SV210: $i] :
( ( ( ~ ( r2 @ SV210 @ SV275 )
| ( SV112 @ SV275 ) )
= $true )
| ( ( r5 @ SV46 @ SV210 )
= $false )
| ( ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1031]) ).
thf(1129,plain,
! [SV46: $i,SV112: $i > $o,SV245: $i,SV175: $i] :
( ( ( ~ ( r2 @ SV175 @ SV245 ) )
= $true )
| ( ( SV112 @ SV245 )
= $true )
| ( ( r5 @ SV46 @ SV175 )
= $false )
| ( ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1130,plain,
! [SV47: $i,SV113: $i > $o,SV276: $i,SV211: $i] :
( ( ( ~ ( r3 @ SV211 @ SV276 )
| ( SV113 @ SV276 ) )
= $true )
| ( ( r1 @ SV47 @ SV211 )
= $false )
| ( ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1033]) ).
thf(1131,plain,
! [SV47: $i,SV113: $i > $o,SV246: $i,SV176: $i] :
( ( ( ~ ( r3 @ SV176 @ SV246 ) )
= $true )
| ( ( SV113 @ SV246 )
= $true )
| ( ( r1 @ SV47 @ SV176 )
= $false )
| ( ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1132,plain,
! [SV48: $i,SV114: $i > $o,SV277: $i,SV212: $i] :
( ( ( ~ ( r3 @ SV212 @ SV277 )
| ( SV114 @ SV277 ) )
= $true )
| ( ( r2 @ SV48 @ SV212 )
= $false )
| ( ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1035]) ).
thf(1133,plain,
! [SV48: $i,SV114: $i > $o,SV247: $i,SV177: $i] :
( ( ( ~ ( r3 @ SV177 @ SV247 ) )
= $true )
| ( ( SV114 @ SV247 )
= $true )
| ( ( r2 @ SV48 @ SV177 )
= $false )
| ( ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1134,plain,
! [SV49: $i,SV115: $i > $o,SV278: $i,SV213: $i] :
( ( ( ~ ( r3 @ SV213 @ SV278 )
| ( SV115 @ SV278 ) )
= $true )
| ( ( r3 @ SV49 @ SV213 )
= $false )
| ( ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1037]) ).
thf(1135,plain,
! [SV49: $i,SV115: $i > $o,SV248: $i,SV178: $i] :
( ( ( ~ ( r3 @ SV178 @ SV248 ) )
= $true )
| ( ( SV115 @ SV248 )
= $true )
| ( ( r3 @ SV49 @ SV178 )
= $false )
| ( ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1136,plain,
! [SV50: $i,SV116: $i > $o,SV279: $i,SV214: $i] :
( ( ( ~ ( r3 @ SV214 @ SV279 )
| ( SV116 @ SV279 ) )
= $true )
| ( ( r4 @ SV50 @ SV214 )
= $false )
| ( ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1039]) ).
thf(1137,plain,
! [SV50: $i,SV116: $i > $o,SV249: $i,SV179: $i] :
( ( ( ~ ( r3 @ SV179 @ SV249 ) )
= $true )
| ( ( SV116 @ SV249 )
= $true )
| ( ( r4 @ SV50 @ SV179 )
= $false )
| ( ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1138,plain,
! [SV51: $i,SV117: $i > $o,SV280: $i,SV215: $i] :
( ( ( ~ ( r3 @ SV215 @ SV280 )
| ( SV117 @ SV280 ) )
= $true )
| ( ( r5 @ SV51 @ SV215 )
= $false )
| ( ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1139,plain,
! [SV51: $i,SV117: $i > $o,SV250: $i,SV180: $i] :
( ( ( ~ ( r3 @ SV180 @ SV250 ) )
= $true )
| ( ( SV117 @ SV250 )
= $true )
| ( ( r5 @ SV51 @ SV180 )
= $false )
| ( ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1140,plain,
! [SV52: $i,SV118: $i > $o,SV281: $i,SV216: $i] :
( ( ( ~ ( r4 @ SV216 @ SV281 )
| ( SV118 @ SV281 ) )
= $true )
| ( ( r1 @ SV52 @ SV216 )
= $false )
| ( ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1043]) ).
thf(1141,plain,
! [SV52: $i,SV118: $i > $o,SV251: $i,SV181: $i] :
( ( ( ~ ( r4 @ SV181 @ SV251 ) )
= $true )
| ( ( SV118 @ SV251 )
= $true )
| ( ( r1 @ SV52 @ SV181 )
= $false )
| ( ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1044]) ).
thf(1142,plain,
! [SV53: $i,SV119: $i > $o,SV282: $i,SV217: $i] :
( ( ( ~ ( r4 @ SV217 @ SV282 )
| ( SV119 @ SV282 ) )
= $true )
| ( ( r2 @ SV53 @ SV217 )
= $false )
| ( ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1143,plain,
! [SV53: $i,SV119: $i > $o,SV252: $i,SV182: $i] :
( ( ( ~ ( r4 @ SV182 @ SV252 ) )
= $true )
| ( ( SV119 @ SV252 )
= $true )
| ( ( r2 @ SV53 @ SV182 )
= $false )
| ( ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1046]) ).
thf(1144,plain,
! [SV54: $i,SV120: $i > $o,SV283: $i,SV218: $i] :
( ( ( ~ ( r4 @ SV218 @ SV283 )
| ( SV120 @ SV283 ) )
= $true )
| ( ( r3 @ SV54 @ SV218 )
= $false )
| ( ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1145,plain,
! [SV54: $i,SV120: $i > $o,SV253: $i,SV183: $i] :
( ( ( ~ ( r4 @ SV183 @ SV253 ) )
= $true )
| ( ( SV120 @ SV253 )
= $true )
| ( ( r3 @ SV54 @ SV183 )
= $false )
| ( ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1146,plain,
! [SV55: $i,SV121: $i > $o,SV284: $i,SV219: $i] :
( ( ( ~ ( r4 @ SV219 @ SV284 )
| ( SV121 @ SV284 ) )
= $true )
| ( ( r4 @ SV55 @ SV219 )
= $false )
| ( ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1147,plain,
! [SV55: $i,SV121: $i > $o,SV254: $i,SV184: $i] :
( ( ( ~ ( r4 @ SV184 @ SV254 ) )
= $true )
| ( ( SV121 @ SV254 )
= $true )
| ( ( r4 @ SV55 @ SV184 )
= $false )
| ( ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1148,plain,
! [SV56: $i,SV122: $i > $o,SV285: $i,SV220: $i] :
( ( ( ~ ( r4 @ SV220 @ SV285 )
| ( SV122 @ SV285 ) )
= $true )
| ( ( r5 @ SV56 @ SV220 )
= $false )
| ( ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1051]) ).
thf(1149,plain,
! [SV56: $i,SV122: $i > $o,SV255: $i,SV185: $i] :
( ( ( ~ ( r4 @ SV185 @ SV255 ) )
= $true )
| ( ( SV122 @ SV255 )
= $true )
| ( ( r5 @ SV56 @ SV185 )
= $false )
| ( ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1150,plain,
! [SV57: $i,SV123: $i > $o,SV286: $i,SV221: $i] :
( ( ( ~ ( r5 @ SV221 @ SV286 )
| ( SV123 @ SV286 ) )
= $true )
| ( ( r1 @ SV57 @ SV221 )
= $false )
| ( ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1053]) ).
thf(1151,plain,
! [SV57: $i,SV123: $i > $o,SV256: $i,SV186: $i] :
( ( ( ~ ( r5 @ SV186 @ SV256 ) )
= $true )
| ( ( SV123 @ SV256 )
= $true )
| ( ( r1 @ SV57 @ SV186 )
= $false )
| ( ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1152,plain,
! [SV58: $i,SV124: $i > $o,SV287: $i,SV222: $i] :
( ( ( ~ ( r5 @ SV222 @ SV287 )
| ( SV124 @ SV287 ) )
= $true )
| ( ( r2 @ SV58 @ SV222 )
= $false )
| ( ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1055]) ).
thf(1153,plain,
! [SV58: $i,SV124: $i > $o,SV257: $i,SV187: $i] :
( ( ( ~ ( r5 @ SV187 @ SV257 ) )
= $true )
| ( ( SV124 @ SV257 )
= $true )
| ( ( r2 @ SV58 @ SV187 )
= $false )
| ( ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1154,plain,
! [SV59: $i,SV125: $i > $o,SV288: $i,SV223: $i] :
( ( ( ~ ( r5 @ SV223 @ SV288 )
| ( SV125 @ SV288 ) )
= $true )
| ( ( r3 @ SV59 @ SV223 )
= $false )
| ( ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1057]) ).
thf(1155,plain,
! [SV59: $i,SV125: $i > $o,SV258: $i,SV188: $i] :
( ( ( ~ ( r5 @ SV188 @ SV258 ) )
= $true )
| ( ( SV125 @ SV258 )
= $true )
| ( ( r3 @ SV59 @ SV188 )
= $false )
| ( ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1156,plain,
! [SV60: $i,SV126: $i > $o,SV289: $i,SV224: $i] :
( ( ( ~ ( r5 @ SV224 @ SV289 )
| ( SV126 @ SV289 ) )
= $true )
| ( ( r4 @ SV60 @ SV224 )
= $false )
| ( ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1059]) ).
thf(1157,plain,
! [SV60: $i,SV126: $i > $o,SV259: $i,SV189: $i] :
( ( ( ~ ( r5 @ SV189 @ SV259 ) )
= $true )
| ( ( SV126 @ SV259 )
= $true )
| ( ( r4 @ SV60 @ SV189 )
= $false )
| ( ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1158,plain,
! [SV61: $i,SV127: $i > $o,SV290: $i,SV225: $i] :
( ( ( ~ ( r5 @ SV225 @ SV290 )
| ( SV127 @ SV290 ) )
= $true )
| ( ( r5 @ SV61 @ SV225 )
= $false )
| ( ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1159,plain,
! [SV61: $i,SV127: $i > $o,SV260: $i,SV190: $i] :
( ( ( ~ ( r5 @ SV190 @ SV260 ) )
= $true )
| ( ( SV127 @ SV260 )
= $true )
| ( ( r5 @ SV61 @ SV190 )
= $false )
| ( ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1160,plain,
! [SV151: $i,SV128: $i > $o,SV226: $i,SV62: $i] :
( ( ( r1 @ SV62 @ SV226 )
= $false )
| ( ( ~ ! [SY3249: $i] :
( ~ ( r1 @ SV226 @ SY3249 )
| ( SV128 @ SY3249 ) ) )
= $true )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1161,plain,
! [SV152: $i,SV129: $i > $o,SV227: $i,SV63: $i] :
( ( ( r2 @ SV63 @ SV227 )
= $false )
| ( ( ~ ! [SY3250: $i] :
( ~ ( r2 @ SV227 @ SY3250 )
| ( SV129 @ SY3250 ) ) )
= $true )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1162,plain,
! [SV153: $i,SV130: $i > $o,SV228: $i,SV64: $i] :
( ( ( r3 @ SV64 @ SV228 )
= $false )
| ( ( ~ ! [SY3251: $i] :
( ~ ( r3 @ SV228 @ SY3251 )
| ( SV130 @ SY3251 ) ) )
= $true )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1163,plain,
! [SV154: $i,SV131: $i > $o,SV229: $i,SV65: $i] :
( ( ( r4 @ SV65 @ SV229 )
= $false )
| ( ( ~ ! [SY3252: $i] :
( ~ ( r4 @ SV229 @ SY3252 )
| ( SV131 @ SY3252 ) ) )
= $true )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1164,plain,
! [SV155: $i,SV132: $i > $o,SV230: $i,SV66: $i] :
( ( ( r5 @ SV66 @ SV230 )
= $false )
| ( ( ~ ! [SY3253: $i] :
( ~ ( r5 @ SV230 @ SY3253 )
| ( SV132 @ SY3253 ) ) )
= $true )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1165,plain,
! [SV2: $i,SV69: mu,SV261: $i,SV133: $i] :
( ( ( ~ ( r1 @ SV133 @ SV261 ) )
= $true )
| ( ( good_in_maths @ SV69 @ SV261 )
= $true )
| ( ( r1 @ SV133 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1166,plain,
! [SV2: $i,SV69: mu,SV231: $i,SV133: $i] :
( ( ( r1 @ SV133 @ SV231 )
= $false )
| ( ( good_in_maths @ SV69 @ SV231 )
= $true )
| ( ( mathematician @ SV69 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $false )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1167,plain,
! [SV3: $i,SV70: mu,SV262: $i,SV134: $i] :
( ( ( ~ ( r2 @ SV134 @ SV262 ) )
= $true )
| ( ( good_in_maths @ SV70 @ SV262 )
= $true )
| ( ( r2 @ SV134 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1070]) ).
thf(1168,plain,
! [SV3: $i,SV70: mu,SV232: $i,SV134: $i] :
( ( ( r2 @ SV134 @ SV232 )
= $false )
| ( ( good_in_maths @ SV70 @ SV232 )
= $true )
| ( ( mathematician @ SV70 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $false )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1169,plain,
! [SV4: $i,SV71: mu,SV263: $i,SV135: $i] :
( ( ( ~ ( r3 @ SV135 @ SV263 ) )
= $true )
| ( ( good_in_maths @ SV71 @ SV263 )
= $true )
| ( ( r3 @ SV135 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1170,plain,
! [SV4: $i,SV71: mu,SV233: $i,SV135: $i] :
( ( ( r3 @ SV135 @ SV233 )
= $false )
| ( ( good_in_maths @ SV71 @ SV233 )
= $true )
| ( ( mathematician @ SV71 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $false )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1171,plain,
! [SV5: $i,SV72: mu,SV264: $i,SV136: $i] :
( ( ( ~ ( r4 @ SV136 @ SV264 ) )
= $true )
| ( ( good_in_maths @ SV72 @ SV264 )
= $true )
| ( ( r4 @ SV136 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1172,plain,
! [SV5: $i,SV72: mu,SV234: $i,SV136: $i] :
( ( ( r4 @ SV136 @ SV234 )
= $false )
| ( ( good_in_maths @ SV72 @ SV234 )
= $true )
| ( ( mathematician @ SV72 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $false )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1173,plain,
! [SV6: $i,SV73: mu,SV265: $i,SV137: $i] :
( ( ( ~ ( r5 @ SV137 @ SV265 ) )
= $true )
| ( ( good_in_maths @ SV73 @ SV265 )
= $true )
| ( ( r5 @ SV137 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1076]) ).
thf(1174,plain,
! [SV6: $i,SV73: mu,SV235: $i,SV137: $i] :
( ( ( r5 @ SV137 @ SV235 )
= $false )
| ( ( good_in_maths @ SV73 @ SV235 )
= $true )
| ( ( mathematician @ SV73 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $false )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1175,plain,
! [SV37: $i,SV103: $i > $o,SV266: $i,SV201: $i] :
( ( ( ~ ( r1 @ SV201 @ SV266 ) )
= $true )
| ( ( SV103 @ SV266 )
= $true )
| ( ( r1 @ SV37 @ SV201 )
= $false )
| ( ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1176,plain,
! [SV37: $i,SV103: $i > $o,SV236: $i,SV166: $i] :
( ( ( r1 @ SV166 @ SV236 )
= $false )
| ( ( SV103 @ SV236 )
= $true )
| ( ( r1 @ SV37 @ SV166 )
= $false )
| ( ( SV103 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1177,plain,
! [SV38: $i,SV104: $i > $o,SV267: $i,SV202: $i] :
( ( ( ~ ( r1 @ SV202 @ SV267 ) )
= $true )
| ( ( SV104 @ SV267 )
= $true )
| ( ( r2 @ SV38 @ SV202 )
= $false )
| ( ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1178,plain,
! [SV38: $i,SV104: $i > $o,SV237: $i,SV167: $i] :
( ( ( r1 @ SV167 @ SV237 )
= $false )
| ( ( SV104 @ SV237 )
= $true )
| ( ( r2 @ SV38 @ SV167 )
= $false )
| ( ( SV104 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1179,plain,
! [SV39: $i,SV105: $i > $o,SV268: $i,SV203: $i] :
( ( ( ~ ( r1 @ SV203 @ SV268 ) )
= $true )
| ( ( SV105 @ SV268 )
= $true )
| ( ( r3 @ SV39 @ SV203 )
= $false )
| ( ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1114]) ).
thf(1180,plain,
! [SV39: $i,SV105: $i > $o,SV238: $i,SV168: $i] :
( ( ( r1 @ SV168 @ SV238 )
= $false )
| ( ( SV105 @ SV238 )
= $true )
| ( ( r3 @ SV39 @ SV168 )
= $false )
| ( ( SV105 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1181,plain,
! [SV40: $i,SV106: $i > $o,SV269: $i,SV204: $i] :
( ( ( ~ ( r1 @ SV204 @ SV269 ) )
= $true )
| ( ( SV106 @ SV269 )
= $true )
| ( ( r4 @ SV40 @ SV204 )
= $false )
| ( ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1182,plain,
! [SV40: $i,SV106: $i > $o,SV239: $i,SV169: $i] :
( ( ( r1 @ SV169 @ SV239 )
= $false )
| ( ( SV106 @ SV239 )
= $true )
| ( ( r4 @ SV40 @ SV169 )
= $false )
| ( ( SV106 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1183,plain,
! [SV41: $i,SV107: $i > $o,SV270: $i,SV205: $i] :
( ( ( ~ ( r1 @ SV205 @ SV270 ) )
= $true )
| ( ( SV107 @ SV270 )
= $true )
| ( ( r5 @ SV41 @ SV205 )
= $false )
| ( ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1118]) ).
thf(1184,plain,
! [SV41: $i,SV107: $i > $o,SV240: $i,SV170: $i] :
( ( ( r1 @ SV170 @ SV240 )
= $false )
| ( ( SV107 @ SV240 )
= $true )
| ( ( r5 @ SV41 @ SV170 )
= $false )
| ( ( SV107 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1185,plain,
! [SV42: $i,SV108: $i > $o,SV271: $i,SV206: $i] :
( ( ( ~ ( r2 @ SV206 @ SV271 ) )
= $true )
| ( ( SV108 @ SV271 )
= $true )
| ( ( r1 @ SV42 @ SV206 )
= $false )
| ( ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1186,plain,
! [SV42: $i,SV108: $i > $o,SV241: $i,SV171: $i] :
( ( ( r2 @ SV171 @ SV241 )
= $false )
| ( ( SV108 @ SV241 )
= $true )
| ( ( r1 @ SV42 @ SV171 )
= $false )
| ( ( SV108 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1187,plain,
! [SV43: $i,SV109: $i > $o,SV272: $i,SV207: $i] :
( ( ( ~ ( r2 @ SV207 @ SV272 ) )
= $true )
| ( ( SV109 @ SV272 )
= $true )
| ( ( r2 @ SV43 @ SV207 )
= $false )
| ( ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1188,plain,
! [SV43: $i,SV109: $i > $o,SV242: $i,SV172: $i] :
( ( ( r2 @ SV172 @ SV242 )
= $false )
| ( ( SV109 @ SV242 )
= $true )
| ( ( r2 @ SV43 @ SV172 )
= $false )
| ( ( SV109 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1123]) ).
thf(1189,plain,
! [SV44: $i,SV110: $i > $o,SV273: $i,SV208: $i] :
( ( ( ~ ( r2 @ SV208 @ SV273 ) )
= $true )
| ( ( SV110 @ SV273 )
= $true )
| ( ( r3 @ SV44 @ SV208 )
= $false )
| ( ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1190,plain,
! [SV44: $i,SV110: $i > $o,SV243: $i,SV173: $i] :
( ( ( r2 @ SV173 @ SV243 )
= $false )
| ( ( SV110 @ SV243 )
= $true )
| ( ( r3 @ SV44 @ SV173 )
= $false )
| ( ( SV110 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1191,plain,
! [SV45: $i,SV111: $i > $o,SV274: $i,SV209: $i] :
( ( ( ~ ( r2 @ SV209 @ SV274 ) )
= $true )
| ( ( SV111 @ SV274 )
= $true )
| ( ( r4 @ SV45 @ SV209 )
= $false )
| ( ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1192,plain,
! [SV45: $i,SV111: $i > $o,SV244: $i,SV174: $i] :
( ( ( r2 @ SV174 @ SV244 )
= $false )
| ( ( SV111 @ SV244 )
= $true )
| ( ( r4 @ SV45 @ SV174 )
= $false )
| ( ( SV111 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1193,plain,
! [SV46: $i,SV112: $i > $o,SV275: $i,SV210: $i] :
( ( ( ~ ( r2 @ SV210 @ SV275 ) )
= $true )
| ( ( SV112 @ SV275 )
= $true )
| ( ( r5 @ SV46 @ SV210 )
= $false )
| ( ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1194,plain,
! [SV46: $i,SV112: $i > $o,SV245: $i,SV175: $i] :
( ( ( r2 @ SV175 @ SV245 )
= $false )
| ( ( SV112 @ SV245 )
= $true )
| ( ( r5 @ SV46 @ SV175 )
= $false )
| ( ( SV112 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1195,plain,
! [SV47: $i,SV113: $i > $o,SV276: $i,SV211: $i] :
( ( ( ~ ( r3 @ SV211 @ SV276 ) )
= $true )
| ( ( SV113 @ SV276 )
= $true )
| ( ( r1 @ SV47 @ SV211 )
= $false )
| ( ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1196,plain,
! [SV47: $i,SV113: $i > $o,SV246: $i,SV176: $i] :
( ( ( r3 @ SV176 @ SV246 )
= $false )
| ( ( SV113 @ SV246 )
= $true )
| ( ( r1 @ SV47 @ SV176 )
= $false )
| ( ( SV113 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1197,plain,
! [SV48: $i,SV114: $i > $o,SV277: $i,SV212: $i] :
( ( ( ~ ( r3 @ SV212 @ SV277 ) )
= $true )
| ( ( SV114 @ SV277 )
= $true )
| ( ( r2 @ SV48 @ SV212 )
= $false )
| ( ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1198,plain,
! [SV48: $i,SV114: $i > $o,SV247: $i,SV177: $i] :
( ( ( r3 @ SV177 @ SV247 )
= $false )
| ( ( SV114 @ SV247 )
= $true )
| ( ( r2 @ SV48 @ SV177 )
= $false )
| ( ( SV114 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1199,plain,
! [SV49: $i,SV115: $i > $o,SV278: $i,SV213: $i] :
( ( ( ~ ( r3 @ SV213 @ SV278 ) )
= $true )
| ( ( SV115 @ SV278 )
= $true )
| ( ( r3 @ SV49 @ SV213 )
= $false )
| ( ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1200,plain,
! [SV49: $i,SV115: $i > $o,SV248: $i,SV178: $i] :
( ( ( r3 @ SV178 @ SV248 )
= $false )
| ( ( SV115 @ SV248 )
= $true )
| ( ( r3 @ SV49 @ SV178 )
= $false )
| ( ( SV115 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1201,plain,
! [SV50: $i,SV116: $i > $o,SV279: $i,SV214: $i] :
( ( ( ~ ( r3 @ SV214 @ SV279 ) )
= $true )
| ( ( SV116 @ SV279 )
= $true )
| ( ( r4 @ SV50 @ SV214 )
= $false )
| ( ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1202,plain,
! [SV50: $i,SV116: $i > $o,SV249: $i,SV179: $i] :
( ( ( r3 @ SV179 @ SV249 )
= $false )
| ( ( SV116 @ SV249 )
= $true )
| ( ( r4 @ SV50 @ SV179 )
= $false )
| ( ( SV116 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1203,plain,
! [SV51: $i,SV117: $i > $o,SV280: $i,SV215: $i] :
( ( ( ~ ( r3 @ SV215 @ SV280 ) )
= $true )
| ( ( SV117 @ SV280 )
= $true )
| ( ( r5 @ SV51 @ SV215 )
= $false )
| ( ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1138]) ).
thf(1204,plain,
! [SV51: $i,SV117: $i > $o,SV250: $i,SV180: $i] :
( ( ( r3 @ SV180 @ SV250 )
= $false )
| ( ( SV117 @ SV250 )
= $true )
| ( ( r5 @ SV51 @ SV180 )
= $false )
| ( ( SV117 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1205,plain,
! [SV52: $i,SV118: $i > $o,SV281: $i,SV216: $i] :
( ( ( ~ ( r4 @ SV216 @ SV281 ) )
= $true )
| ( ( SV118 @ SV281 )
= $true )
| ( ( r1 @ SV52 @ SV216 )
= $false )
| ( ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1140]) ).
thf(1206,plain,
! [SV52: $i,SV118: $i > $o,SV251: $i,SV181: $i] :
( ( ( r4 @ SV181 @ SV251 )
= $false )
| ( ( SV118 @ SV251 )
= $true )
| ( ( r1 @ SV52 @ SV181 )
= $false )
| ( ( SV118 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1207,plain,
! [SV53: $i,SV119: $i > $o,SV282: $i,SV217: $i] :
( ( ( ~ ( r4 @ SV217 @ SV282 ) )
= $true )
| ( ( SV119 @ SV282 )
= $true )
| ( ( r2 @ SV53 @ SV217 )
= $false )
| ( ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1208,plain,
! [SV53: $i,SV119: $i > $o,SV252: $i,SV182: $i] :
( ( ( r4 @ SV182 @ SV252 )
= $false )
| ( ( SV119 @ SV252 )
= $true )
| ( ( r2 @ SV53 @ SV182 )
= $false )
| ( ( SV119 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1209,plain,
! [SV54: $i,SV120: $i > $o,SV283: $i,SV218: $i] :
( ( ( ~ ( r4 @ SV218 @ SV283 ) )
= $true )
| ( ( SV120 @ SV283 )
= $true )
| ( ( r3 @ SV54 @ SV218 )
= $false )
| ( ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1210,plain,
! [SV54: $i,SV120: $i > $o,SV253: $i,SV183: $i] :
( ( ( r4 @ SV183 @ SV253 )
= $false )
| ( ( SV120 @ SV253 )
= $true )
| ( ( r3 @ SV54 @ SV183 )
= $false )
| ( ( SV120 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1211,plain,
! [SV55: $i,SV121: $i > $o,SV284: $i,SV219: $i] :
( ( ( ~ ( r4 @ SV219 @ SV284 ) )
= $true )
| ( ( SV121 @ SV284 )
= $true )
| ( ( r4 @ SV55 @ SV219 )
= $false )
| ( ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1146]) ).
thf(1212,plain,
! [SV55: $i,SV121: $i > $o,SV254: $i,SV184: $i] :
( ( ( r4 @ SV184 @ SV254 )
= $false )
| ( ( SV121 @ SV254 )
= $true )
| ( ( r4 @ SV55 @ SV184 )
= $false )
| ( ( SV121 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1213,plain,
! [SV56: $i,SV122: $i > $o,SV285: $i,SV220: $i] :
( ( ( ~ ( r4 @ SV220 @ SV285 ) )
= $true )
| ( ( SV122 @ SV285 )
= $true )
| ( ( r5 @ SV56 @ SV220 )
= $false )
| ( ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1148]) ).
thf(1214,plain,
! [SV56: $i,SV122: $i > $o,SV255: $i,SV185: $i] :
( ( ( r4 @ SV185 @ SV255 )
= $false )
| ( ( SV122 @ SV255 )
= $true )
| ( ( r5 @ SV56 @ SV185 )
= $false )
| ( ( SV122 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1215,plain,
! [SV57: $i,SV123: $i > $o,SV286: $i,SV221: $i] :
( ( ( ~ ( r5 @ SV221 @ SV286 ) )
= $true )
| ( ( SV123 @ SV286 )
= $true )
| ( ( r1 @ SV57 @ SV221 )
= $false )
| ( ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1216,plain,
! [SV57: $i,SV123: $i > $o,SV256: $i,SV186: $i] :
( ( ( r5 @ SV186 @ SV256 )
= $false )
| ( ( SV123 @ SV256 )
= $true )
| ( ( r1 @ SV57 @ SV186 )
= $false )
| ( ( SV123 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1217,plain,
! [SV58: $i,SV124: $i > $o,SV287: $i,SV222: $i] :
( ( ( ~ ( r5 @ SV222 @ SV287 ) )
= $true )
| ( ( SV124 @ SV287 )
= $true )
| ( ( r2 @ SV58 @ SV222 )
= $false )
| ( ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1218,plain,
! [SV58: $i,SV124: $i > $o,SV257: $i,SV187: $i] :
( ( ( r5 @ SV187 @ SV257 )
= $false )
| ( ( SV124 @ SV257 )
= $true )
| ( ( r2 @ SV58 @ SV187 )
= $false )
| ( ( SV124 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1219,plain,
! [SV59: $i,SV125: $i > $o,SV288: $i,SV223: $i] :
( ( ( ~ ( r5 @ SV223 @ SV288 ) )
= $true )
| ( ( SV125 @ SV288 )
= $true )
| ( ( r3 @ SV59 @ SV223 )
= $false )
| ( ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1154]) ).
thf(1220,plain,
! [SV59: $i,SV125: $i > $o,SV258: $i,SV188: $i] :
( ( ( r5 @ SV188 @ SV258 )
= $false )
| ( ( SV125 @ SV258 )
= $true )
| ( ( r3 @ SV59 @ SV188 )
= $false )
| ( ( SV125 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1221,plain,
! [SV60: $i,SV126: $i > $o,SV289: $i,SV224: $i] :
( ( ( ~ ( r5 @ SV224 @ SV289 ) )
= $true )
| ( ( SV126 @ SV289 )
= $true )
| ( ( r4 @ SV60 @ SV224 )
= $false )
| ( ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1222,plain,
! [SV60: $i,SV126: $i > $o,SV259: $i,SV189: $i] :
( ( ( r5 @ SV189 @ SV259 )
= $false )
| ( ( SV126 @ SV259 )
= $true )
| ( ( r4 @ SV60 @ SV189 )
= $false )
| ( ( SV126 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1223,plain,
! [SV61: $i,SV127: $i > $o,SV290: $i,SV225: $i] :
( ( ( ~ ( r5 @ SV225 @ SV290 ) )
= $true )
| ( ( SV127 @ SV290 )
= $true )
| ( ( r5 @ SV61 @ SV225 )
= $false )
| ( ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1224,plain,
! [SV61: $i,SV127: $i > $o,SV260: $i,SV190: $i] :
( ( ( r5 @ SV190 @ SV260 )
= $false )
| ( ( SV127 @ SV260 )
= $true )
| ( ( r5 @ SV61 @ SV190 )
= $false )
| ( ( SV127 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1225,plain,
! [SV151: $i,SV62: $i,SV128: $i > $o,SV226: $i] :
( ( ( ! [SY3249: $i] :
( ~ ( r1 @ SV226 @ SY3249 )
| ( SV128 @ SY3249 ) ) )
= $false )
| ( ( r1 @ SV62 @ SV226 )
= $false )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1226,plain,
! [SV152: $i,SV63: $i,SV129: $i > $o,SV227: $i] :
( ( ( ! [SY3250: $i] :
( ~ ( r2 @ SV227 @ SY3250 )
| ( SV129 @ SY3250 ) ) )
= $false )
| ( ( r2 @ SV63 @ SV227 )
= $false )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1227,plain,
! [SV153: $i,SV64: $i,SV130: $i > $o,SV228: $i] :
( ( ( ! [SY3251: $i] :
( ~ ( r3 @ SV228 @ SY3251 )
| ( SV130 @ SY3251 ) ) )
= $false )
| ( ( r3 @ SV64 @ SV228 )
= $false )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1228,plain,
! [SV154: $i,SV65: $i,SV131: $i > $o,SV229: $i] :
( ( ( ! [SY3252: $i] :
( ~ ( r4 @ SV229 @ SY3252 )
| ( SV131 @ SY3252 ) ) )
= $false )
| ( ( r4 @ SV65 @ SV229 )
= $false )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1229,plain,
! [SV155: $i,SV66: $i,SV132: $i > $o,SV230: $i] :
( ( ( ! [SY3253: $i] :
( ~ ( r5 @ SV230 @ SY3253 )
| ( SV132 @ SY3253 ) ) )
= $false )
| ( ( r5 @ SV66 @ SV230 )
= $false )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1230,plain,
! [SV2: $i,SV69: mu,SV261: $i,SV133: $i] :
( ( ( r1 @ SV133 @ SV261 )
= $false )
| ( ( good_in_maths @ SV69 @ SV261 )
= $true )
| ( ( r1 @ SV133 @ ( sK42_SY3178 @ SV2 @ SV69 @ SV133 ) )
= $true )
| ( ( r5 @ SV2 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1231,plain,
! [SV3: $i,SV70: mu,SV262: $i,SV134: $i] :
( ( ( r2 @ SV134 @ SV262 )
= $false )
| ( ( good_in_maths @ SV70 @ SV262 )
= $true )
| ( ( r2 @ SV134 @ ( sK43_SY3180 @ SV3 @ SV70 @ SV134 ) )
= $true )
| ( ( r5 @ SV3 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1232,plain,
! [SV4: $i,SV71: mu,SV263: $i,SV135: $i] :
( ( ( r3 @ SV135 @ SV263 )
= $false )
| ( ( good_in_maths @ SV71 @ SV263 )
= $true )
| ( ( r3 @ SV135 @ ( sK44_SY3182 @ SV4 @ SV71 @ SV135 ) )
= $true )
| ( ( r5 @ SV4 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1233,plain,
! [SV5: $i,SV72: mu,SV264: $i,SV136: $i] :
( ( ( r4 @ SV136 @ SV264 )
= $false )
| ( ( good_in_maths @ SV72 @ SV264 )
= $true )
| ( ( r4 @ SV136 @ ( sK45_SY3184 @ SV5 @ SV72 @ SV136 ) )
= $true )
| ( ( r5 @ SV5 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1171]) ).
thf(1234,plain,
! [SV6: $i,SV73: mu,SV265: $i,SV137: $i] :
( ( ( r5 @ SV137 @ SV265 )
= $false )
| ( ( good_in_maths @ SV73 @ SV265 )
= $true )
| ( ( r5 @ SV137 @ ( sK46_SY3186 @ SV6 @ SV73 @ SV137 ) )
= $true )
| ( ( r5 @ SV6 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1235,plain,
! [SV37: $i,SV103: $i > $o,SV266: $i,SV201: $i] :
( ( ( r1 @ SV201 @ SV266 )
= $false )
| ( ( SV103 @ SV266 )
= $true )
| ( ( r1 @ SV37 @ SV201 )
= $false )
| ( ( r1 @ SV37 @ ( sK17_SY3088 @ SV103 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1236,plain,
! [SV38: $i,SV104: $i > $o,SV267: $i,SV202: $i] :
( ( ( r1 @ SV202 @ SV267 )
= $false )
| ( ( SV104 @ SV267 )
= $true )
| ( ( r2 @ SV38 @ SV202 )
= $false )
| ( ( r1 @ SV38 @ ( sK18_SY3091 @ SV104 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1237,plain,
! [SV39: $i,SV105: $i > $o,SV268: $i,SV203: $i] :
( ( ( r1 @ SV203 @ SV268 )
= $false )
| ( ( SV105 @ SV268 )
= $true )
| ( ( r3 @ SV39 @ SV203 )
= $false )
| ( ( r1 @ SV39 @ ( sK19_SY3094 @ SV105 @ SV39 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1238,plain,
! [SV40: $i,SV106: $i > $o,SV269: $i,SV204: $i] :
( ( ( r1 @ SV204 @ SV269 )
= $false )
| ( ( SV106 @ SV269 )
= $true )
| ( ( r4 @ SV40 @ SV204 )
= $false )
| ( ( r1 @ SV40 @ ( sK20_SY3097 @ SV106 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1239,plain,
! [SV41: $i,SV107: $i > $o,SV270: $i,SV205: $i] :
( ( ( r1 @ SV205 @ SV270 )
= $false )
| ( ( SV107 @ SV270 )
= $true )
| ( ( r5 @ SV41 @ SV205 )
= $false )
| ( ( r1 @ SV41 @ ( sK21_SY3100 @ SV107 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1240,plain,
! [SV42: $i,SV108: $i > $o,SV271: $i,SV206: $i] :
( ( ( r2 @ SV206 @ SV271 )
= $false )
| ( ( SV108 @ SV271 )
= $true )
| ( ( r1 @ SV42 @ SV206 )
= $false )
| ( ( r2 @ SV42 @ ( sK22_SY3103 @ SV108 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1241,plain,
! [SV43: $i,SV109: $i > $o,SV272: $i,SV207: $i] :
( ( ( r2 @ SV207 @ SV272 )
= $false )
| ( ( SV109 @ SV272 )
= $true )
| ( ( r2 @ SV43 @ SV207 )
= $false )
| ( ( r2 @ SV43 @ ( sK23_SY3106 @ SV109 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1242,plain,
! [SV44: $i,SV110: $i > $o,SV273: $i,SV208: $i] :
( ( ( r2 @ SV208 @ SV273 )
= $false )
| ( ( SV110 @ SV273 )
= $true )
| ( ( r3 @ SV44 @ SV208 )
= $false )
| ( ( r2 @ SV44 @ ( sK24_SY3109 @ SV110 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1243,plain,
! [SV45: $i,SV111: $i > $o,SV274: $i,SV209: $i] :
( ( ( r2 @ SV209 @ SV274 )
= $false )
| ( ( SV111 @ SV274 )
= $true )
| ( ( r4 @ SV45 @ SV209 )
= $false )
| ( ( r2 @ SV45 @ ( sK25_SY3112 @ SV111 @ SV45 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1244,plain,
! [SV46: $i,SV112: $i > $o,SV275: $i,SV210: $i] :
( ( ( r2 @ SV210 @ SV275 )
= $false )
| ( ( SV112 @ SV275 )
= $true )
| ( ( r5 @ SV46 @ SV210 )
= $false )
| ( ( r2 @ SV46 @ ( sK26_SY3115 @ SV112 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1245,plain,
! [SV47: $i,SV113: $i > $o,SV276: $i,SV211: $i] :
( ( ( r3 @ SV211 @ SV276 )
= $false )
| ( ( SV113 @ SV276 )
= $true )
| ( ( r1 @ SV47 @ SV211 )
= $false )
| ( ( r3 @ SV47 @ ( sK27_SY3118 @ SV113 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1246,plain,
! [SV48: $i,SV114: $i > $o,SV277: $i,SV212: $i] :
( ( ( r3 @ SV212 @ SV277 )
= $false )
| ( ( SV114 @ SV277 )
= $true )
| ( ( r2 @ SV48 @ SV212 )
= $false )
| ( ( r3 @ SV48 @ ( sK28_SY3121 @ SV114 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1247,plain,
! [SV49: $i,SV115: $i > $o,SV278: $i,SV213: $i] :
( ( ( r3 @ SV213 @ SV278 )
= $false )
| ( ( SV115 @ SV278 )
= $true )
| ( ( r3 @ SV49 @ SV213 )
= $false )
| ( ( r3 @ SV49 @ ( sK29_SY3124 @ SV115 @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1248,plain,
! [SV50: $i,SV116: $i > $o,SV279: $i,SV214: $i] :
( ( ( r3 @ SV214 @ SV279 )
= $false )
| ( ( SV116 @ SV279 )
= $true )
| ( ( r4 @ SV50 @ SV214 )
= $false )
| ( ( r3 @ SV50 @ ( sK30_SY3127 @ SV116 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1249,plain,
! [SV51: $i,SV117: $i > $o,SV280: $i,SV215: $i] :
( ( ( r3 @ SV215 @ SV280 )
= $false )
| ( ( SV117 @ SV280 )
= $true )
| ( ( r5 @ SV51 @ SV215 )
= $false )
| ( ( r3 @ SV51 @ ( sK31_SY3130 @ SV117 @ SV51 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1250,plain,
! [SV52: $i,SV118: $i > $o,SV281: $i,SV216: $i] :
( ( ( r4 @ SV216 @ SV281 )
= $false )
| ( ( SV118 @ SV281 )
= $true )
| ( ( r1 @ SV52 @ SV216 )
= $false )
| ( ( r4 @ SV52 @ ( sK32_SY3133 @ SV118 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1251,plain,
! [SV53: $i,SV119: $i > $o,SV282: $i,SV217: $i] :
( ( ( r4 @ SV217 @ SV282 )
= $false )
| ( ( SV119 @ SV282 )
= $true )
| ( ( r2 @ SV53 @ SV217 )
= $false )
| ( ( r4 @ SV53 @ ( sK33_SY3136 @ SV119 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1252,plain,
! [SV54: $i,SV120: $i > $o,SV283: $i,SV218: $i] :
( ( ( r4 @ SV218 @ SV283 )
= $false )
| ( ( SV120 @ SV283 )
= $true )
| ( ( r3 @ SV54 @ SV218 )
= $false )
| ( ( r4 @ SV54 @ ( sK34_SY3139 @ SV120 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1253,plain,
! [SV55: $i,SV121: $i > $o,SV284: $i,SV219: $i] :
( ( ( r4 @ SV219 @ SV284 )
= $false )
| ( ( SV121 @ SV284 )
= $true )
| ( ( r4 @ SV55 @ SV219 )
= $false )
| ( ( r4 @ SV55 @ ( sK35_SY3142 @ SV121 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1254,plain,
! [SV56: $i,SV122: $i > $o,SV285: $i,SV220: $i] :
( ( ( r4 @ SV220 @ SV285 )
= $false )
| ( ( SV122 @ SV285 )
= $true )
| ( ( r5 @ SV56 @ SV220 )
= $false )
| ( ( r4 @ SV56 @ ( sK36_SY3145 @ SV122 @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1255,plain,
! [SV57: $i,SV123: $i > $o,SV286: $i,SV221: $i] :
( ( ( r5 @ SV221 @ SV286 )
= $false )
| ( ( SV123 @ SV286 )
= $true )
| ( ( r1 @ SV57 @ SV221 )
= $false )
| ( ( r5 @ SV57 @ ( sK37_SY3148 @ SV123 @ SV57 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1256,plain,
! [SV58: $i,SV124: $i > $o,SV287: $i,SV222: $i] :
( ( ( r5 @ SV222 @ SV287 )
= $false )
| ( ( SV124 @ SV287 )
= $true )
| ( ( r2 @ SV58 @ SV222 )
= $false )
| ( ( r5 @ SV58 @ ( sK38_SY3151 @ SV124 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1257,plain,
! [SV59: $i,SV125: $i > $o,SV288: $i,SV223: $i] :
( ( ( r5 @ SV223 @ SV288 )
= $false )
| ( ( SV125 @ SV288 )
= $true )
| ( ( r3 @ SV59 @ SV223 )
= $false )
| ( ( r5 @ SV59 @ ( sK39_SY3154 @ SV125 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1258,plain,
! [SV60: $i,SV126: $i > $o,SV289: $i,SV224: $i] :
( ( ( r5 @ SV224 @ SV289 )
= $false )
| ( ( SV126 @ SV289 )
= $true )
| ( ( r4 @ SV60 @ SV224 )
= $false )
| ( ( r5 @ SV60 @ ( sK40_SY3157 @ SV126 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1259,plain,
! [SV61: $i,SV127: $i > $o,SV290: $i,SV225: $i] :
( ( ( r5 @ SV225 @ SV290 )
= $false )
| ( ( SV127 @ SV290 )
= $true )
| ( ( r5 @ SV61 @ SV225 )
= $false )
| ( ( r5 @ SV61 @ ( sK41_SY3160 @ SV127 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1260,plain,
! [SV128: $i > $o,SV62: $i,SV151: $i,SV226: $i] :
( ( ( ~ ( r1 @ SV226 @ ( sK68_SY3249 @ SV151 @ SV62 @ SV128 @ SV226 ) )
| ( SV128 @ ( sK68_SY3249 @ SV151 @ SV62 @ SV128 @ SV226 ) ) )
= $false )
| ( ( r1 @ SV62 @ SV226 )
= $false )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1225]) ).
thf(1261,plain,
! [SV129: $i > $o,SV63: $i,SV152: $i,SV227: $i] :
( ( ( ~ ( r2 @ SV227 @ ( sK69_SY3250 @ SV152 @ SV63 @ SV129 @ SV227 ) )
| ( SV129 @ ( sK69_SY3250 @ SV152 @ SV63 @ SV129 @ SV227 ) ) )
= $false )
| ( ( r2 @ SV63 @ SV227 )
= $false )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1226]) ).
thf(1262,plain,
! [SV130: $i > $o,SV64: $i,SV153: $i,SV228: $i] :
( ( ( ~ ( r3 @ SV228 @ ( sK70_SY3251 @ SV153 @ SV64 @ SV130 @ SV228 ) )
| ( SV130 @ ( sK70_SY3251 @ SV153 @ SV64 @ SV130 @ SV228 ) ) )
= $false )
| ( ( r3 @ SV64 @ SV228 )
= $false )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1227]) ).
thf(1263,plain,
! [SV131: $i > $o,SV65: $i,SV154: $i,SV229: $i] :
( ( ( ~ ( r4 @ SV229 @ ( sK71_SY3252 @ SV154 @ SV65 @ SV131 @ SV229 ) )
| ( SV131 @ ( sK71_SY3252 @ SV154 @ SV65 @ SV131 @ SV229 ) ) )
= $false )
| ( ( r4 @ SV65 @ SV229 )
= $false )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1228]) ).
thf(1264,plain,
! [SV132: $i > $o,SV66: $i,SV155: $i,SV230: $i] :
( ( ( ~ ( r5 @ SV230 @ ( sK72_SY3253 @ SV155 @ SV66 @ SV132 @ SV230 ) )
| ( SV132 @ ( sK72_SY3253 @ SV155 @ SV66 @ SV132 @ SV230 ) ) )
= $false )
| ( ( r5 @ SV66 @ SV230 )
= $false )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1229]) ).
thf(1265,plain,
! [SV128: $i > $o,SV62: $i,SV151: $i,SV226: $i] :
( ( ( ~ ( r1 @ SV226 @ ( sK68_SY3249 @ SV151 @ SV62 @ SV128 @ SV226 ) ) )
= $false )
| ( ( r1 @ SV62 @ SV226 )
= $false )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1266,plain,
! [SV226: $i,SV62: $i,SV151: $i,SV128: $i > $o] :
( ( ( SV128 @ ( sK68_SY3249 @ SV151 @ SV62 @ SV128 @ SV226 ) )
= $false )
| ( ( r1 @ SV62 @ SV226 )
= $false )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1267,plain,
! [SV129: $i > $o,SV63: $i,SV152: $i,SV227: $i] :
( ( ( ~ ( r2 @ SV227 @ ( sK69_SY3250 @ SV152 @ SV63 @ SV129 @ SV227 ) ) )
= $false )
| ( ( r2 @ SV63 @ SV227 )
= $false )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1268,plain,
! [SV227: $i,SV63: $i,SV152: $i,SV129: $i > $o] :
( ( ( SV129 @ ( sK69_SY3250 @ SV152 @ SV63 @ SV129 @ SV227 ) )
= $false )
| ( ( r2 @ SV63 @ SV227 )
= $false )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1269,plain,
! [SV130: $i > $o,SV64: $i,SV153: $i,SV228: $i] :
( ( ( ~ ( r3 @ SV228 @ ( sK70_SY3251 @ SV153 @ SV64 @ SV130 @ SV228 ) ) )
= $false )
| ( ( r3 @ SV64 @ SV228 )
= $false )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1270,plain,
! [SV228: $i,SV64: $i,SV153: $i,SV130: $i > $o] :
( ( ( SV130 @ ( sK70_SY3251 @ SV153 @ SV64 @ SV130 @ SV228 ) )
= $false )
| ( ( r3 @ SV64 @ SV228 )
= $false )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1271,plain,
! [SV131: $i > $o,SV65: $i,SV154: $i,SV229: $i] :
( ( ( ~ ( r4 @ SV229 @ ( sK71_SY3252 @ SV154 @ SV65 @ SV131 @ SV229 ) ) )
= $false )
| ( ( r4 @ SV65 @ SV229 )
= $false )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1272,plain,
! [SV229: $i,SV65: $i,SV154: $i,SV131: $i > $o] :
( ( ( SV131 @ ( sK71_SY3252 @ SV154 @ SV65 @ SV131 @ SV229 ) )
= $false )
| ( ( r4 @ SV65 @ SV229 )
= $false )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1273,plain,
! [SV132: $i > $o,SV66: $i,SV155: $i,SV230: $i] :
( ( ( ~ ( r5 @ SV230 @ ( sK72_SY3253 @ SV155 @ SV66 @ SV132 @ SV230 ) ) )
= $false )
| ( ( r5 @ SV66 @ SV230 )
= $false )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1274,plain,
! [SV230: $i,SV66: $i,SV155: $i,SV132: $i > $o] :
( ( ( SV132 @ ( sK72_SY3253 @ SV155 @ SV66 @ SV132 @ SV230 ) )
= $false )
| ( ( r5 @ SV66 @ SV230 )
= $false )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1275,plain,
! [SV128: $i > $o,SV62: $i,SV151: $i,SV226: $i] :
( ( ( r1 @ SV226 @ ( sK68_SY3249 @ SV151 @ SV62 @ SV128 @ SV226 ) )
= $true )
| ( ( r1 @ SV62 @ SV226 )
= $false )
| ( ( SV128 @ SV151 )
= $true )
| ( ( r1 @ SV62 @ SV151 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1276,plain,
! [SV129: $i > $o,SV63: $i,SV152: $i,SV227: $i] :
( ( ( r2 @ SV227 @ ( sK69_SY3250 @ SV152 @ SV63 @ SV129 @ SV227 ) )
= $true )
| ( ( r2 @ SV63 @ SV227 )
= $false )
| ( ( SV129 @ SV152 )
= $true )
| ( ( r2 @ SV63 @ SV152 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1277,plain,
! [SV130: $i > $o,SV64: $i,SV153: $i,SV228: $i] :
( ( ( r3 @ SV228 @ ( sK70_SY3251 @ SV153 @ SV64 @ SV130 @ SV228 ) )
= $true )
| ( ( r3 @ SV64 @ SV228 )
= $false )
| ( ( SV130 @ SV153 )
= $true )
| ( ( r3 @ SV64 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1269]) ).
thf(1278,plain,
! [SV131: $i > $o,SV65: $i,SV154: $i,SV229: $i] :
( ( ( r4 @ SV229 @ ( sK71_SY3252 @ SV154 @ SV65 @ SV131 @ SV229 ) )
= $true )
| ( ( r4 @ SV65 @ SV229 )
= $false )
| ( ( SV131 @ SV154 )
= $true )
| ( ( r4 @ SV65 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1271]) ).
thf(1279,plain,
! [SV132: $i > $o,SV66: $i,SV155: $i,SV230: $i] :
( ( ( r5 @ SV230 @ ( sK72_SY3253 @ SV155 @ SV66 @ SV132 @ SV230 ) )
= $true )
| ( ( r5 @ SV66 @ SV230 )
= $false )
| ( ( SV132 @ SV155 )
= $true )
| ( ( r5 @ SV66 @ SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1273]) ).
thf(1280,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[222,1279,1278,1277,1276,1275,1274,1272,1270,1268,1266,1259,1258,1257,1256,1255,1254,1253,1252,1251,1250,1249,1248,1247,1246,1245,1244,1243,1242,1241,1240,1239,1238,1237,1236,1235,1234,1233,1232,1231,1230,1224,1222,1220,1218,1216,1214,1212,1210,1208,1206,1204,1202,1200,1198,1196,1194,1192,1190,1188,1186,1184,1182,1180,1178,1176,1174,1172,1170,1168,1166,1109,1108,1107,1106,1105,1104,1103,1102,1101,1100,1099,1098,1097,1096,1095,1094,1093,1092,1091,1090,1089,1088,1087,1086,1085,1084,1083,1082,1081,1080,1079,1078,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,998,997,994,993,990,989,986,985,895,893,891,889,887,885,883,881,879,877,738,636,423,422,421]) ).
thf(1281,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : AGT030^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 18:01:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.93/1.07
% 4.93/1.07 No.of.Axioms: 66
% 4.93/1.07
% 4.93/1.07 Length.of.Defs: 5324
% 4.93/1.07
% 4.93/1.07 Contains.Choice.Funs: false
% 4.93/1.07 ..........................................................
% 4.93/1.07
% 4.93/1.07 ********************************
% 4.93/1.07 * All subproblems solved! *
% 4.93/1.07 ********************************
% 4.93/1.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1280,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.93/1.07
% 4.93/1.07 %**** Beginning of derivation protocol ****
% 4.93/1.07 % SZS output start CNFRefutation
% See solution above
% 4.93/1.09
% 4.93/1.09 %**** End of derivation protocol ****
% 4.93/1.09 %**** no. of clauses in derivation: 1281 ****
% 4.93/1.09 %**** clause counter: 1280 ****
% 4.93/1.09
% 4.93/1.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:66,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:1280,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------