%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : AGT028^1 : 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 : n004.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 10:07:08 AM UTC 2026
% Result : Theorem 1.10s 0.41s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 56
% Syntax : Number of formulae : 489 ( 139 unt; 0 typ; 31 def)
% Number of atoms : 3286 (1010 equ; 0 cnn)
% Maximal formula atoms : 11 ( 6 avg)
% Number of connectives : 5828 ( 882 ~;1264 |; 8 &;3666 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 466 ( 466 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 69 usr; 7 con; 0-4 aty)
% Number of variables : 1775 ( 71 ^;1698 !; 6 ?;1775 :)
% 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_SY1038,type,
sK10_SY1038: ( $i > $o ) > $i > $i ).
thf(tp_sK11_SY1041,type,
sK11_SY1041: ( $i > $o ) > $i > $i ).
thf(tp_sK12_SY1044,type,
sK12_SY1044: ( $i > $o ) > $i > $i ).
thf(tp_sK13_SY1047,type,
sK13_SY1047: ( $i > $o ) > $i > $i ).
thf(tp_sK14_SY1050,type,
sK14_SY1050: ( $i > $o ) > $i > $i ).
thf(tp_sK15_SY1053,type,
sK15_SY1053: ( $i > $o ) > $i > $i ).
thf(tp_sK16_SY1056,type,
sK16_SY1056: ( $i > $o ) > $i > $i ).
thf(tp_sK17_SY1059,type,
sK17_SY1059: ( $i > $o ) > $i > $i ).
thf(tp_sK18_SY1062,type,
sK18_SY1062: ( $i > $o ) > $i > $i ).
thf(tp_sK19_SY1065,type,
sK19_SY1065: ( $i > $o ) > $i > $i ).
thf(tp_sK1_SY19,type,
sK1_SY19: $i ).
thf(tp_sK20_SY1068,type,
sK20_SY1068: ( $i > $o ) > $i > $i ).
thf(tp_sK21_SY1023,type,
sK21_SY1023: ( $i > $o ) > $i > $i ).
thf(tp_sK22_SY1023,type,
sK22_SY1023: ( $i > $o ) > $i > $i ).
thf(tp_sK23_SY1100,type,
sK23_SY1100: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK2_SY1020,type,
sK2_SY1020: mu > $i ).
thf(tp_sK3_SY1022,type,
sK3_SY1022: ( $i > $o ) > $i > $i ).
thf(tp_sK4_SY1024,type,
sK4_SY1024: ( $i > $o ) > $i > $i ).
thf(tp_sK5_SY1026,type,
sK5_SY1026: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SY1028,type,
sK6_SY1028: ( $i > $o ) > $i > $i ).
thf(tp_sK7_SY1030,type,
sK7_SY1030: ( $i > $o ) > $i > $i ).
thf(tp_sK8_SY1032,type,
sK8_SY1032: ( $i > $o ) > $i > $i ).
thf(tp_sK9_SY1035,type,
sK9_SY1035: ( $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(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(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(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(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(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(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(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(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(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(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(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(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(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(66,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X: mu] : ( mimplies @ ( maths_teacher @ X ) @ ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_r1) ).
thf(67,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(68,negated_conjecture,
( ( mvalid
@ ( mexists_ind
@ ^ [X: mu] : ( mbox @ r4 @ ( good_in_maths @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[67]) ).
thf(69,plain,
( ( ! [SY19: $i] :
~ ! [SY20: mu] :
~ ! [SY21: $i] :
( ~ ( r4 @ SY19 @ SY21 )
| ( good_in_maths @ SY20 @ SY21 ) ) )
= $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,
( ( ! [SY67: $i,SY68: $i > $o] :
( ~ ~ ! [SY69: $i] :
( ~ ( r4 @ SY67 @ SY69 )
| ( SY68 @ SY69 ) )
| ! [SY70: $i] :
( ~ ( r4 @ SY67 @ SY70 )
| ~ ! [SY63: $i] :
( ~ ( r4 @ SY70 @ SY63 )
| ( SY68 @ SY63 ) ) ) ) )
= $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(71,plain,
( ( ! [SY115: $i,SY116: $i > $o] :
( ~ ! [SY117: $i] :
( ~ ( r5 @ SY115 @ SY117 )
| ( SY116 @ SY117 ) )
| ! [SY118: $i] :
( ~ ( r5 @ SY115 @ SY118 )
| ! [SY111: $i] :
( ~ ( r5 @ SY118 @ SY111 )
| ( SY116 @ SY111 ) ) ) ) )
= $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(72,plain,
( ( ! [SY163: $i,SY164: $i > $o] :
( ~ ! [SY165: $i] :
( ~ ( r5 @ SY163 @ SY165 )
| ( SY164 @ SY165 ) )
| ! [SY166: $i] :
( ~ ( r4 @ SY163 @ SY166 )
| ! [SY159: $i] :
( ~ ( r5 @ SY166 @ SY159 )
| ( SY164 @ SY159 ) ) ) ) )
= $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(73,plain,
( ( ! [SY211: $i,SY212: $i > $o] :
( ~ ! [SY213: $i] :
( ~ ( r4 @ SY211 @ SY213 )
| ( SY212 @ SY213 ) )
| ! [SY214: $i] :
( ~ ( r5 @ SY211 @ SY214 )
| ! [SY207: $i] :
( ~ ( r4 @ SY214 @ SY207 )
| ( SY212 @ SY207 ) ) ) ) )
= $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(74,plain,
( ( ! [SY259: $i,SY260: $i > $o] :
( ~ ! [SY261: $i] :
( ~ ( r4 @ SY259 @ SY261 )
| ( SY260 @ SY261 ) )
| ! [SY262: $i] :
( ~ ( r4 @ SY259 @ SY262 )
| ! [SY255: $i] :
( ~ ( r4 @ SY262 @ SY255 )
| ( SY260 @ SY255 ) ) ) ) )
= $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(75,plain,
( ( ! [SY307: $i,SY308: $i > $o] :
( ~ ! [SY309: $i] :
( ~ ( r4 @ SY307 @ SY309 )
| ( SY308 @ SY309 ) )
| ! [SY310: $i] :
( ~ ( r3 @ SY307 @ SY310 )
| ! [SY303: $i] :
( ~ ( r4 @ SY310 @ SY303 )
| ( SY308 @ SY303 ) ) ) ) )
= $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(76,plain,
( ( ! [SY355: $i,SY356: $i > $o] :
( ~ ! [SY357: $i] :
( ~ ( r4 @ SY355 @ SY357 )
| ( SY356 @ SY357 ) )
| ! [SY358: $i] :
( ~ ( r2 @ SY355 @ SY358 )
| ! [SY351: $i] :
( ~ ( r4 @ SY358 @ SY351 )
| ( SY356 @ SY351 ) ) ) ) )
= $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(77,plain,
( ( ! [SY403: $i,SY404: $i > $o] :
( ~ ! [SY405: $i] :
( ~ ( r4 @ SY403 @ SY405 )
| ( SY404 @ SY405 ) )
| ! [SY406: $i] :
( ~ ( r1 @ SY403 @ SY406 )
| ! [SY399: $i] :
( ~ ( r4 @ SY406 @ SY399 )
| ( SY404 @ SY399 ) ) ) ) )
= $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(78,plain,
( ( ! [SY451: $i,SY452: $i > $o] :
( ~ ! [SY453: $i] :
( ~ ( r3 @ SY451 @ SY453 )
| ( SY452 @ SY453 ) )
| ! [SY454: $i] :
( ~ ( r4 @ SY451 @ SY454 )
| ! [SY447: $i] :
( ~ ( r3 @ SY454 @ SY447 )
| ( SY452 @ SY447 ) ) ) ) )
= $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(79,plain,
( ( ! [SY499: $i,SY500: $i > $o] :
( ~ ! [SY501: $i] :
( ~ ( r3 @ SY499 @ SY501 )
| ( SY500 @ SY501 ) )
| ! [SY502: $i] :
( ~ ( r3 @ SY499 @ SY502 )
| ! [SY495: $i] :
( ~ ( r3 @ SY502 @ SY495 )
| ( SY500 @ SY495 ) ) ) ) )
= $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(80,plain,
( ( ! [SY547: $i,SY548: $i > $o] :
( ~ ! [SY549: $i] :
( ~ ( r2 @ SY547 @ SY549 )
| ( SY548 @ SY549 ) )
| ! [SY550: $i] :
( ~ ( r4 @ SY547 @ SY550 )
| ! [SY543: $i] :
( ~ ( r2 @ SY550 @ SY543 )
| ( SY548 @ SY543 ) ) ) ) )
= $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(81,plain,
( ( ! [SY595: $i,SY596: $i > $o] :
( ~ ! [SY597: $i] :
( ~ ( r2 @ SY595 @ SY597 )
| ( SY596 @ SY597 ) )
| ! [SY598: $i] :
( ~ ( r2 @ SY595 @ SY598 )
| ! [SY591: $i] :
( ~ ( r2 @ SY598 @ SY591 )
| ( SY596 @ SY591 ) ) ) ) )
= $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(82,plain,
( ( ! [SY643: $i,SY644: $i > $o] :
( ~ ! [SY645: $i] :
( ~ ( r1 @ SY643 @ SY645 )
| ( SY644 @ SY645 ) )
| ! [SY646: $i] :
( ~ ( r4 @ SY643 @ SY646 )
| ! [SY639: $i] :
( ~ ( r1 @ SY646 @ SY639 )
| ( SY644 @ SY639 ) ) ) ) )
= $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(83,plain,
( ( ! [SY691: $i,SY692: $i > $o] :
( ~ ! [SY693: $i] :
( ~ ( r1 @ SY691 @ SY693 )
| ( SY692 @ SY693 ) )
| ! [SY694: $i] :
( ~ ( r1 @ SY691 @ SY694 )
| ! [SY687: $i] :
( ~ ( r1 @ SY694 @ SY687 )
| ( SY692 @ SY687 ) ) ) ) )
= $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(84,plain,
( ( ! [SY730: $i,SY731: $i > $o] :
( ~ ! [SY732: $i] :
( ~ ( r5 @ SY730 @ SY732 )
| ( SY731 @ SY732 ) )
| ! [SY733: $i] :
( ~ ( r4 @ SY730 @ SY733 )
| ( SY731 @ SY733 ) ) ) )
= $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(85,plain,
( ( ! [SY767: $i,SY768: $i > $o] :
( ~ ! [SY769: $i] :
( ~ ( r4 @ SY767 @ SY769 )
| ( SY768 @ SY769 ) )
| ! [SY770: $i] :
( ~ ( r3 @ SY767 @ SY770 )
| ( SY768 @ SY770 ) ) ) )
= $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(86,plain,
( ( ! [SY804: $i,SY805: $i > $o] :
( ~ ! [SY806: $i] :
( ~ ( r4 @ SY804 @ SY806 )
| ( SY805 @ SY806 ) )
| ! [SY807: $i] :
( ~ ( r2 @ SY804 @ SY807 )
| ( SY805 @ SY807 ) ) ) )
= $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(87,plain,
( ( ! [SY841: $i,SY842: $i > $o] :
( ~ ! [SY843: $i] :
( ~ ( r4 @ SY841 @ SY843 )
| ( SY842 @ SY843 ) )
| ! [SY844: $i] :
( ~ ( r1 @ SY841 @ SY844 )
| ( SY842 @ SY844 ) ) ) )
= $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(88,plain,
( ( ! [SY881: $i,SY882: $i > $o] :
( ~ ! [SY883: $i] :
( ~ ( r4 @ SY881 @ SY883 )
| ( SY882 @ SY883 ) )
| ~ ! [SY884: $i] :
( ~ ( r4 @ SY881 @ SY884 )
| ~ ( SY882 @ SY884 ) ) ) )
= $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(89,plain,
( ( ! [SY894: $i,SY895: $i] :
( ~ ( r5 @ SY894 @ SY895 )
| ( physics_student @ mike @ SY895 ) ) )
= $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(90,plain,
( ( ! [SY903: $i,SY904: $i] :
( ~ ( r5 @ SY903 @ SY904 )
| ( maths_student @ peter @ SY904 ) ) )
= $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(91,plain,
( ( ! [SY912: $i,SY913: $i] :
( ~ ( r2 @ SY912 @ SY913 )
| ( mathematician @ tom @ SY913 ) ) )
= $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(92,plain,
( ( ! [SY916: $i] : ( maths_teacher @ john @ SY916 ) )
= $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(93,plain,
( ( ! [SY936: $i,SY937: mu] :
( ~ ( maths_teacher @ SY937 @ SY936 )
| ! [SY938: $i] :
( ~ ( r4 @ SY936 @ SY938 )
| ( good_in_maths @ SY937 @ SY938 ) ) ) )
= $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(94,plain,
( ( ~ ! [SY942: mu] :
~ ! [SY943: $i] :
( ~ ( r4 @ sK1_SY19 @ SY943 )
| ( good_in_maths @ SY942 @ SY943 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[69]) ).
thf(95,plain,
( ( ! [SY942: mu] :
~ ! [SY943: $i] :
( ~ ( r4 @ sK1_SY19 @ SY943 )
| ( good_in_maths @ SY942 @ SY943 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[94]) ).
thf(96,plain,
( ( ! [SY936: $i,SY937: mu] :
( ~ ( maths_teacher @ SY937 @ SY936 )
| ! [SY938: $i] :
( ~ ( r4 @ SY936 @ SY938 )
| ( good_in_maths @ SY937 @ SY938 ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(97,plain,
( ( ! [SY916: $i] : ( maths_teacher @ john @ SY916 ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(98,plain,
( ( ! [SY912: $i,SY913: $i] :
( ~ ( r2 @ SY912 @ SY913 )
| ( mathematician @ tom @ SY913 ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(99,plain,
( ( ! [SY903: $i,SY904: $i] :
( ~ ( r5 @ SY903 @ SY904 )
| ( maths_student @ peter @ SY904 ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(100,plain,
( ( ! [SY894: $i,SY895: $i] :
( ~ ( r5 @ SY894 @ SY895 )
| ( physics_student @ mike @ SY895 ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(101,plain,
( ( ! [SY881: $i,SY882: $i > $o] :
( ~ ! [SY883: $i] :
( ~ ( r4 @ SY881 @ SY883 )
| ( SY882 @ SY883 ) )
| ~ ! [SY884: $i] :
( ~ ( r4 @ SY881 @ SY884 )
| ~ ( SY882 @ SY884 ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(102,plain,
( ( ! [SY841: $i,SY842: $i > $o] :
( ~ ! [SY843: $i] :
( ~ ( r4 @ SY841 @ SY843 )
| ( SY842 @ SY843 ) )
| ! [SY844: $i] :
( ~ ( r1 @ SY841 @ SY844 )
| ( SY842 @ SY844 ) ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(103,plain,
( ( ! [SY804: $i,SY805: $i > $o] :
( ~ ! [SY806: $i] :
( ~ ( r4 @ SY804 @ SY806 )
| ( SY805 @ SY806 ) )
| ! [SY807: $i] :
( ~ ( r2 @ SY804 @ SY807 )
| ( SY805 @ SY807 ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(104,plain,
( ( ! [SY767: $i,SY768: $i > $o] :
( ~ ! [SY769: $i] :
( ~ ( r4 @ SY767 @ SY769 )
| ( SY768 @ SY769 ) )
| ! [SY770: $i] :
( ~ ( r3 @ SY767 @ SY770 )
| ( SY768 @ SY770 ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(105,plain,
( ( ! [SY730: $i,SY731: $i > $o] :
( ~ ! [SY732: $i] :
( ~ ( r5 @ SY730 @ SY732 )
| ( SY731 @ SY732 ) )
| ! [SY733: $i] :
( ~ ( r4 @ SY730 @ SY733 )
| ( SY731 @ SY733 ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(106,plain,
( ( ! [SY691: $i,SY692: $i > $o] :
( ~ ! [SY693: $i] :
( ~ ( r1 @ SY691 @ SY693 )
| ( SY692 @ SY693 ) )
| ! [SY694: $i] :
( ~ ( r1 @ SY691 @ SY694 )
| ! [SY687: $i] :
( ~ ( r1 @ SY694 @ SY687 )
| ( SY692 @ SY687 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(107,plain,
( ( ! [SY643: $i,SY644: $i > $o] :
( ~ ! [SY645: $i] :
( ~ ( r1 @ SY643 @ SY645 )
| ( SY644 @ SY645 ) )
| ! [SY646: $i] :
( ~ ( r4 @ SY643 @ SY646 )
| ! [SY639: $i] :
( ~ ( r1 @ SY646 @ SY639 )
| ( SY644 @ SY639 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(108,plain,
( ( ! [SY595: $i,SY596: $i > $o] :
( ~ ! [SY597: $i] :
( ~ ( r2 @ SY595 @ SY597 )
| ( SY596 @ SY597 ) )
| ! [SY598: $i] :
( ~ ( r2 @ SY595 @ SY598 )
| ! [SY591: $i] :
( ~ ( r2 @ SY598 @ SY591 )
| ( SY596 @ SY591 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(109,plain,
( ( ! [SY547: $i,SY548: $i > $o] :
( ~ ! [SY549: $i] :
( ~ ( r2 @ SY547 @ SY549 )
| ( SY548 @ SY549 ) )
| ! [SY550: $i] :
( ~ ( r4 @ SY547 @ SY550 )
| ! [SY543: $i] :
( ~ ( r2 @ SY550 @ SY543 )
| ( SY548 @ SY543 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(110,plain,
( ( ! [SY499: $i,SY500: $i > $o] :
( ~ ! [SY501: $i] :
( ~ ( r3 @ SY499 @ SY501 )
| ( SY500 @ SY501 ) )
| ! [SY502: $i] :
( ~ ( r3 @ SY499 @ SY502 )
| ! [SY495: $i] :
( ~ ( r3 @ SY502 @ SY495 )
| ( SY500 @ SY495 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(111,plain,
( ( ! [SY451: $i,SY452: $i > $o] :
( ~ ! [SY453: $i] :
( ~ ( r3 @ SY451 @ SY453 )
| ( SY452 @ SY453 ) )
| ! [SY454: $i] :
( ~ ( r4 @ SY451 @ SY454 )
| ! [SY447: $i] :
( ~ ( r3 @ SY454 @ SY447 )
| ( SY452 @ SY447 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(112,plain,
( ( ! [SY403: $i,SY404: $i > $o] :
( ~ ! [SY405: $i] :
( ~ ( r4 @ SY403 @ SY405 )
| ( SY404 @ SY405 ) )
| ! [SY406: $i] :
( ~ ( r1 @ SY403 @ SY406 )
| ! [SY399: $i] :
( ~ ( r4 @ SY406 @ SY399 )
| ( SY404 @ SY399 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(113,plain,
( ( ! [SY355: $i,SY356: $i > $o] :
( ~ ! [SY357: $i] :
( ~ ( r4 @ SY355 @ SY357 )
| ( SY356 @ SY357 ) )
| ! [SY358: $i] :
( ~ ( r2 @ SY355 @ SY358 )
| ! [SY351: $i] :
( ~ ( r4 @ SY358 @ SY351 )
| ( SY356 @ SY351 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(114,plain,
( ( ! [SY307: $i,SY308: $i > $o] :
( ~ ! [SY309: $i] :
( ~ ( r4 @ SY307 @ SY309 )
| ( SY308 @ SY309 ) )
| ! [SY310: $i] :
( ~ ( r3 @ SY307 @ SY310 )
| ! [SY303: $i] :
( ~ ( r4 @ SY310 @ SY303 )
| ( SY308 @ SY303 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(115,plain,
( ( ! [SY259: $i,SY260: $i > $o] :
( ~ ! [SY261: $i] :
( ~ ( r4 @ SY259 @ SY261 )
| ( SY260 @ SY261 ) )
| ! [SY262: $i] :
( ~ ( r4 @ SY259 @ SY262 )
| ! [SY255: $i] :
( ~ ( r4 @ SY262 @ SY255 )
| ( SY260 @ SY255 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(116,plain,
( ( ! [SY211: $i,SY212: $i > $o] :
( ~ ! [SY213: $i] :
( ~ ( r4 @ SY211 @ SY213 )
| ( SY212 @ SY213 ) )
| ! [SY214: $i] :
( ~ ( r5 @ SY211 @ SY214 )
| ! [SY207: $i] :
( ~ ( r4 @ SY214 @ SY207 )
| ( SY212 @ SY207 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(117,plain,
( ( ! [SY163: $i,SY164: $i > $o] :
( ~ ! [SY165: $i] :
( ~ ( r5 @ SY163 @ SY165 )
| ( SY164 @ SY165 ) )
| ! [SY166: $i] :
( ~ ( r4 @ SY163 @ SY166 )
| ! [SY159: $i] :
( ~ ( r5 @ SY166 @ SY159 )
| ( SY164 @ SY159 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(118,plain,
( ( ! [SY115: $i,SY116: $i > $o] :
( ~ ! [SY117: $i] :
( ~ ( r5 @ SY115 @ SY117 )
| ( SY116 @ SY117 ) )
| ! [SY118: $i] :
( ~ ( r5 @ SY115 @ SY118 )
| ! [SY111: $i] :
( ~ ( r5 @ SY118 @ SY111 )
| ( SY116 @ SY111 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(119,plain,
( ( ! [SY67: $i,SY68: $i > $o] :
( ~ ~ ! [SY69: $i] :
( ~ ( r4 @ SY67 @ SY69 )
| ( SY68 @ SY69 ) )
| ! [SY70: $i] :
( ~ ( r4 @ SY67 @ SY70 )
| ~ ! [SY63: $i] :
( ~ ( r4 @ SY70 @ SY63 )
| ( SY68 @ SY63 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(120,plain,
( ( ! [SY942: mu] :
~ ! [SY943: $i] :
( ~ ( r4 @ sK1_SY19 @ SY943 )
| ( good_in_maths @ SY942 @ SY943 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(121,plain,
! [SV1: $i] :
( ( ! [SY944: mu] :
( ~ ( maths_teacher @ SY944 @ SV1 )
| ! [SY945: $i] :
( ~ ( r4 @ SV1 @ SY945 )
| ( good_in_maths @ SY944 @ SY945 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(122,plain,
! [SV2: $i] :
( ( maths_teacher @ john @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(123,plain,
! [SV3: $i] :
( ( ! [SY946: $i] :
( ~ ( r2 @ SV3 @ SY946 )
| ( mathematician @ tom @ SY946 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(124,plain,
! [SV4: $i] :
( ( ! [SY947: $i] :
( ~ ( r5 @ SV4 @ SY947 )
| ( maths_student @ peter @ SY947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(125,plain,
! [SV5: $i] :
( ( ! [SY948: $i] :
( ~ ( r5 @ SV5 @ SY948 )
| ( physics_student @ mike @ SY948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(126,plain,
! [SV6: $i] :
( ( ! [SY949: $i > $o] :
( ~ ! [SY950: $i] :
( ~ ( r4 @ SV6 @ SY950 )
| ( SY949 @ SY950 ) )
| ~ ! [SY951: $i] :
( ~ ( r4 @ SV6 @ SY951 )
| ~ ( SY949 @ SY951 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(127,plain,
! [SV7: $i] :
( ( ! [SY952: $i > $o] :
( ~ ! [SY953: $i] :
( ~ ( r4 @ SV7 @ SY953 )
| ( SY952 @ SY953 ) )
| ! [SY954: $i] :
( ~ ( r1 @ SV7 @ SY954 )
| ( SY952 @ SY954 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(128,plain,
! [SV8: $i] :
( ( ! [SY955: $i > $o] :
( ~ ! [SY956: $i] :
( ~ ( r4 @ SV8 @ SY956 )
| ( SY955 @ SY956 ) )
| ! [SY957: $i] :
( ~ ( r2 @ SV8 @ SY957 )
| ( SY955 @ SY957 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(129,plain,
! [SV9: $i] :
( ( ! [SY958: $i > $o] :
( ~ ! [SY959: $i] :
( ~ ( r4 @ SV9 @ SY959 )
| ( SY958 @ SY959 ) )
| ! [SY960: $i] :
( ~ ( r3 @ SV9 @ SY960 )
| ( SY958 @ SY960 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(130,plain,
! [SV10: $i] :
( ( ! [SY961: $i > $o] :
( ~ ! [SY962: $i] :
( ~ ( r5 @ SV10 @ SY962 )
| ( SY961 @ SY962 ) )
| ! [SY963: $i] :
( ~ ( r4 @ SV10 @ SY963 )
| ( SY961 @ SY963 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(131,plain,
! [SV11: $i] :
( ( ! [SY964: $i > $o] :
( ~ ! [SY965: $i] :
( ~ ( r1 @ SV11 @ SY965 )
| ( SY964 @ SY965 ) )
| ! [SY966: $i] :
( ~ ( r1 @ SV11 @ SY966 )
| ! [SY687: $i] :
( ~ ( r1 @ SY966 @ SY687 )
| ( SY964 @ SY687 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(132,plain,
! [SV12: $i] :
( ( ! [SY968: $i > $o] :
( ~ ! [SY969: $i] :
( ~ ( r1 @ SV12 @ SY969 )
| ( SY968 @ SY969 ) )
| ! [SY970: $i] :
( ~ ( r4 @ SV12 @ SY970 )
| ! [SY639: $i] :
( ~ ( r1 @ SY970 @ SY639 )
| ( SY968 @ SY639 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(133,plain,
! [SV13: $i] :
( ( ! [SY972: $i > $o] :
( ~ ! [SY973: $i] :
( ~ ( r2 @ SV13 @ SY973 )
| ( SY972 @ SY973 ) )
| ! [SY974: $i] :
( ~ ( r2 @ SV13 @ SY974 )
| ! [SY591: $i] :
( ~ ( r2 @ SY974 @ SY591 )
| ( SY972 @ SY591 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(134,plain,
! [SV14: $i] :
( ( ! [SY976: $i > $o] :
( ~ ! [SY977: $i] :
( ~ ( r2 @ SV14 @ SY977 )
| ( SY976 @ SY977 ) )
| ! [SY978: $i] :
( ~ ( r4 @ SV14 @ SY978 )
| ! [SY543: $i] :
( ~ ( r2 @ SY978 @ SY543 )
| ( SY976 @ SY543 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(135,plain,
! [SV15: $i] :
( ( ! [SY980: $i > $o] :
( ~ ! [SY981: $i] :
( ~ ( r3 @ SV15 @ SY981 )
| ( SY980 @ SY981 ) )
| ! [SY982: $i] :
( ~ ( r3 @ SV15 @ SY982 )
| ! [SY495: $i] :
( ~ ( r3 @ SY982 @ SY495 )
| ( SY980 @ SY495 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(136,plain,
! [SV16: $i] :
( ( ! [SY984: $i > $o] :
( ~ ! [SY985: $i] :
( ~ ( r3 @ SV16 @ SY985 )
| ( SY984 @ SY985 ) )
| ! [SY986: $i] :
( ~ ( r4 @ SV16 @ SY986 )
| ! [SY447: $i] :
( ~ ( r3 @ SY986 @ SY447 )
| ( SY984 @ SY447 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(137,plain,
! [SV17: $i] :
( ( ! [SY988: $i > $o] :
( ~ ! [SY989: $i] :
( ~ ( r4 @ SV17 @ SY989 )
| ( SY988 @ SY989 ) )
| ! [SY990: $i] :
( ~ ( r1 @ SV17 @ SY990 )
| ! [SY399: $i] :
( ~ ( r4 @ SY990 @ SY399 )
| ( SY988 @ SY399 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(138,plain,
! [SV18: $i] :
( ( ! [SY992: $i > $o] :
( ~ ! [SY993: $i] :
( ~ ( r4 @ SV18 @ SY993 )
| ( SY992 @ SY993 ) )
| ! [SY994: $i] :
( ~ ( r2 @ SV18 @ SY994 )
| ! [SY351: $i] :
( ~ ( r4 @ SY994 @ SY351 )
| ( SY992 @ SY351 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(139,plain,
! [SV19: $i] :
( ( ! [SY996: $i > $o] :
( ~ ! [SY997: $i] :
( ~ ( r4 @ SV19 @ SY997 )
| ( SY996 @ SY997 ) )
| ! [SY998: $i] :
( ~ ( r3 @ SV19 @ SY998 )
| ! [SY303: $i] :
( ~ ( r4 @ SY998 @ SY303 )
| ( SY996 @ SY303 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(140,plain,
! [SV20: $i] :
( ( ! [SY1000: $i > $o] :
( ~ ! [SY1001: $i] :
( ~ ( r4 @ SV20 @ SY1001 )
| ( SY1000 @ SY1001 ) )
| ! [SY1002: $i] :
( ~ ( r4 @ SV20 @ SY1002 )
| ! [SY255: $i] :
( ~ ( r4 @ SY1002 @ SY255 )
| ( SY1000 @ SY255 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(141,plain,
! [SV21: $i] :
( ( ! [SY1004: $i > $o] :
( ~ ! [SY1005: $i] :
( ~ ( r4 @ SV21 @ SY1005 )
| ( SY1004 @ SY1005 ) )
| ! [SY1006: $i] :
( ~ ( r5 @ SV21 @ SY1006 )
| ! [SY207: $i] :
( ~ ( r4 @ SY1006 @ SY207 )
| ( SY1004 @ SY207 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(142,plain,
! [SV22: $i] :
( ( ! [SY1008: $i > $o] :
( ~ ! [SY1009: $i] :
( ~ ( r5 @ SV22 @ SY1009 )
| ( SY1008 @ SY1009 ) )
| ! [SY1010: $i] :
( ~ ( r4 @ SV22 @ SY1010 )
| ! [SY159: $i] :
( ~ ( r5 @ SY1010 @ SY159 )
| ( SY1008 @ SY159 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(143,plain,
! [SV23: $i] :
( ( ! [SY1012: $i > $o] :
( ~ ! [SY1013: $i] :
( ~ ( r5 @ SV23 @ SY1013 )
| ( SY1012 @ SY1013 ) )
| ! [SY1014: $i] :
( ~ ( r5 @ SV23 @ SY1014 )
| ! [SY111: $i] :
( ~ ( r5 @ SY1014 @ SY111 )
| ( SY1012 @ SY111 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(144,plain,
! [SV24: $i] :
( ( ! [SY1016: $i > $o] :
( ~ ~ ! [SY1017: $i] :
( ~ ( r4 @ SV24 @ SY1017 )
| ( SY1016 @ SY1017 ) )
| ! [SY1018: $i] :
( ~ ( r4 @ SV24 @ SY1018 )
| ~ ! [SY63: $i] :
( ~ ( r4 @ SY1018 @ SY63 )
| ( SY1016 @ SY63 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(145,plain,
! [SV25: mu] :
( ( ~ ! [SY1020: $i] :
( ~ ( r4 @ sK1_SY19 @ SY1020 )
| ( good_in_maths @ SV25 @ SY1020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(146,plain,
! [SV1: $i,SV26: mu] :
( ( ~ ( maths_teacher @ SV26 @ SV1 )
| ! [SY1021: $i] :
( ~ ( r4 @ SV1 @ SY1021 )
| ( good_in_maths @ SV26 @ SY1021 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(147,plain,
! [SV27: $i,SV3: $i] :
( ( ~ ( r2 @ SV3 @ SV27 )
| ( mathematician @ tom @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV28: $i,SV4: $i] :
( ( ~ ( r5 @ SV4 @ SV28 )
| ( maths_student @ peter @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV29: $i,SV5: $i] :
( ( ~ ( r5 @ SV5 @ SV29 )
| ( physics_student @ mike @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(150,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ~ ! [SY1022: $i] :
( ~ ( r4 @ SV6 @ SY1022 )
| ( SV30 @ SY1022 ) )
| ~ ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(151,plain,
! [SV31: $i > $o,SV7: $i] :
( ( ~ ! [SY1024: $i] :
( ~ ( r4 @ SV7 @ SY1024 )
| ( SV31 @ SY1024 ) )
| ! [SY1025: $i] :
( ~ ( r1 @ SV7 @ SY1025 )
| ( SV31 @ SY1025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(152,plain,
! [SV32: $i > $o,SV8: $i] :
( ( ~ ! [SY1026: $i] :
( ~ ( r4 @ SV8 @ SY1026 )
| ( SV32 @ SY1026 ) )
| ! [SY1027: $i] :
( ~ ( r2 @ SV8 @ SY1027 )
| ( SV32 @ SY1027 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(153,plain,
! [SV33: $i > $o,SV9: $i] :
( ( ~ ! [SY1028: $i] :
( ~ ( r4 @ SV9 @ SY1028 )
| ( SV33 @ SY1028 ) )
| ! [SY1029: $i] :
( ~ ( r3 @ SV9 @ SY1029 )
| ( SV33 @ SY1029 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(154,plain,
! [SV34: $i > $o,SV10: $i] :
( ( ~ ! [SY1030: $i] :
( ~ ( r5 @ SV10 @ SY1030 )
| ( SV34 @ SY1030 ) )
| ! [SY1031: $i] :
( ~ ( r4 @ SV10 @ SY1031 )
| ( SV34 @ SY1031 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV35: $i > $o,SV11: $i] :
( ( ~ ! [SY1032: $i] :
( ~ ( r1 @ SV11 @ SY1032 )
| ( SV35 @ SY1032 ) )
| ! [SY1033: $i] :
( ~ ( r1 @ SV11 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( r1 @ SY1033 @ SY1034 )
| ( SV35 @ SY1034 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(156,plain,
! [SV36: $i > $o,SV12: $i] :
( ( ~ ! [SY1035: $i] :
( ~ ( r1 @ SV12 @ SY1035 )
| ( SV36 @ SY1035 ) )
| ! [SY1036: $i] :
( ~ ( r4 @ SV12 @ SY1036 )
| ! [SY1037: $i] :
( ~ ( r1 @ SY1036 @ SY1037 )
| ( SV36 @ SY1037 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(157,plain,
! [SV37: $i > $o,SV13: $i] :
( ( ~ ! [SY1038: $i] :
( ~ ( r2 @ SV13 @ SY1038 )
| ( SV37 @ SY1038 ) )
| ! [SY1039: $i] :
( ~ ( r2 @ SV13 @ SY1039 )
| ! [SY1040: $i] :
( ~ ( r2 @ SY1039 @ SY1040 )
| ( SV37 @ SY1040 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(158,plain,
! [SV38: $i > $o,SV14: $i] :
( ( ~ ! [SY1041: $i] :
( ~ ( r2 @ SV14 @ SY1041 )
| ( SV38 @ SY1041 ) )
| ! [SY1042: $i] :
( ~ ( r4 @ SV14 @ SY1042 )
| ! [SY1043: $i] :
( ~ ( r2 @ SY1042 @ SY1043 )
| ( SV38 @ SY1043 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(159,plain,
! [SV39: $i > $o,SV15: $i] :
( ( ~ ! [SY1044: $i] :
( ~ ( r3 @ SV15 @ SY1044 )
| ( SV39 @ SY1044 ) )
| ! [SY1045: $i] :
( ~ ( r3 @ SV15 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( r3 @ SY1045 @ SY1046 )
| ( SV39 @ SY1046 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(160,plain,
! [SV40: $i > $o,SV16: $i] :
( ( ~ ! [SY1047: $i] :
( ~ ( r3 @ SV16 @ SY1047 )
| ( SV40 @ SY1047 ) )
| ! [SY1048: $i] :
( ~ ( r4 @ SV16 @ SY1048 )
| ! [SY1049: $i] :
( ~ ( r3 @ SY1048 @ SY1049 )
| ( SV40 @ SY1049 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(161,plain,
! [SV41: $i > $o,SV17: $i] :
( ( ~ ! [SY1050: $i] :
( ~ ( r4 @ SV17 @ SY1050 )
| ( SV41 @ SY1050 ) )
| ! [SY1051: $i] :
( ~ ( r1 @ SV17 @ SY1051 )
| ! [SY1052: $i] :
( ~ ( r4 @ SY1051 @ SY1052 )
| ( SV41 @ SY1052 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(162,plain,
! [SV42: $i > $o,SV18: $i] :
( ( ~ ! [SY1053: $i] :
( ~ ( r4 @ SV18 @ SY1053 )
| ( SV42 @ SY1053 ) )
| ! [SY1054: $i] :
( ~ ( r2 @ SV18 @ SY1054 )
| ! [SY1055: $i] :
( ~ ( r4 @ SY1054 @ SY1055 )
| ( SV42 @ SY1055 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(163,plain,
! [SV43: $i > $o,SV19: $i] :
( ( ~ ! [SY1056: $i] :
( ~ ( r4 @ SV19 @ SY1056 )
| ( SV43 @ SY1056 ) )
| ! [SY1057: $i] :
( ~ ( r3 @ SV19 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( r4 @ SY1057 @ SY1058 )
| ( SV43 @ SY1058 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(164,plain,
! [SV44: $i > $o,SV20: $i] :
( ( ~ ! [SY1059: $i] :
( ~ ( r4 @ SV20 @ SY1059 )
| ( SV44 @ SY1059 ) )
| ! [SY1060: $i] :
( ~ ( r4 @ SV20 @ SY1060 )
| ! [SY1061: $i] :
( ~ ( r4 @ SY1060 @ SY1061 )
| ( SV44 @ SY1061 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(165,plain,
! [SV45: $i > $o,SV21: $i] :
( ( ~ ! [SY1062: $i] :
( ~ ( r4 @ SV21 @ SY1062 )
| ( SV45 @ SY1062 ) )
| ! [SY1063: $i] :
( ~ ( r5 @ SV21 @ SY1063 )
| ! [SY1064: $i] :
( ~ ( r4 @ SY1063 @ SY1064 )
| ( SV45 @ SY1064 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(166,plain,
! [SV46: $i > $o,SV22: $i] :
( ( ~ ! [SY1065: $i] :
( ~ ( r5 @ SV22 @ SY1065 )
| ( SV46 @ SY1065 ) )
| ! [SY1066: $i] :
( ~ ( r4 @ SV22 @ SY1066 )
| ! [SY1067: $i] :
( ~ ( r5 @ SY1066 @ SY1067 )
| ( SV46 @ SY1067 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(167,plain,
! [SV47: $i > $o,SV23: $i] :
( ( ~ ! [SY1068: $i] :
( ~ ( r5 @ SV23 @ SY1068 )
| ( SV47 @ SY1068 ) )
| ! [SY1069: $i] :
( ~ ( r5 @ SV23 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( r5 @ SY1069 @ SY1070 )
| ( SV47 @ SY1070 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(168,plain,
! [SV48: $i > $o,SV24: $i] :
( ( ~ ~ ! [SY1071: $i] :
( ~ ( r4 @ SV24 @ SY1071 )
| ( SV48 @ SY1071 ) )
| ! [SY1072: $i] :
( ~ ( r4 @ SV24 @ SY1072 )
| ~ ! [SY1073: $i] :
( ~ ( r4 @ SY1072 @ SY1073 )
| ( SV48 @ SY1073 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(169,plain,
! [SV25: mu] :
( ( ! [SY1020: $i] :
( ~ ( r4 @ sK1_SY19 @ SY1020 )
| ( good_in_maths @ SV25 @ SY1020 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(170,plain,
! [SV1: $i,SV26: mu] :
( ( ( ~ ( maths_teacher @ SV26 @ SV1 ) )
= $true )
| ( ( ! [SY1021: $i] :
( ~ ( r4 @ SV1 @ SY1021 )
| ( good_in_maths @ SV26 @ SY1021 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(171,plain,
! [SV27: $i,SV3: $i] :
( ( ( ~ ( r2 @ SV3 @ SV27 ) )
= $true )
| ( ( mathematician @ tom @ SV27 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(172,plain,
! [SV28: $i,SV4: $i] :
( ( ( ~ ( r5 @ SV4 @ SV28 ) )
= $true )
| ( ( maths_student @ peter @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(173,plain,
! [SV29: $i,SV5: $i] :
( ( ( ~ ( r5 @ SV5 @ SV29 ) )
= $true )
| ( ( physics_student @ mike @ SV29 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(174,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ~ ! [SY1022: $i] :
( ~ ( r4 @ SV6 @ SY1022 )
| ( SV30 @ SY1022 ) ) )
= $true )
| ( ( ~ ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(175,plain,
! [SV31: $i > $o,SV7: $i] :
( ( ( ~ ! [SY1024: $i] :
( ~ ( r4 @ SV7 @ SY1024 )
| ( SV31 @ SY1024 ) ) )
= $true )
| ( ( ! [SY1025: $i] :
( ~ ( r1 @ SV7 @ SY1025 )
| ( SV31 @ SY1025 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(176,plain,
! [SV32: $i > $o,SV8: $i] :
( ( ( ~ ! [SY1026: $i] :
( ~ ( r4 @ SV8 @ SY1026 )
| ( SV32 @ SY1026 ) ) )
= $true )
| ( ( ! [SY1027: $i] :
( ~ ( r2 @ SV8 @ SY1027 )
| ( SV32 @ SY1027 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(177,plain,
! [SV33: $i > $o,SV9: $i] :
( ( ( ~ ! [SY1028: $i] :
( ~ ( r4 @ SV9 @ SY1028 )
| ( SV33 @ SY1028 ) ) )
= $true )
| ( ( ! [SY1029: $i] :
( ~ ( r3 @ SV9 @ SY1029 )
| ( SV33 @ SY1029 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(178,plain,
! [SV34: $i > $o,SV10: $i] :
( ( ( ~ ! [SY1030: $i] :
( ~ ( r5 @ SV10 @ SY1030 )
| ( SV34 @ SY1030 ) ) )
= $true )
| ( ( ! [SY1031: $i] :
( ~ ( r4 @ SV10 @ SY1031 )
| ( SV34 @ SY1031 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(179,plain,
! [SV35: $i > $o,SV11: $i] :
( ( ( ~ ! [SY1032: $i] :
( ~ ( r1 @ SV11 @ SY1032 )
| ( SV35 @ SY1032 ) ) )
= $true )
| ( ( ! [SY1033: $i] :
( ~ ( r1 @ SV11 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( r1 @ SY1033 @ SY1034 )
| ( SV35 @ SY1034 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(180,plain,
! [SV36: $i > $o,SV12: $i] :
( ( ( ~ ! [SY1035: $i] :
( ~ ( r1 @ SV12 @ SY1035 )
| ( SV36 @ SY1035 ) ) )
= $true )
| ( ( ! [SY1036: $i] :
( ~ ( r4 @ SV12 @ SY1036 )
| ! [SY1037: $i] :
( ~ ( r1 @ SY1036 @ SY1037 )
| ( SV36 @ SY1037 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(181,plain,
! [SV37: $i > $o,SV13: $i] :
( ( ( ~ ! [SY1038: $i] :
( ~ ( r2 @ SV13 @ SY1038 )
| ( SV37 @ SY1038 ) ) )
= $true )
| ( ( ! [SY1039: $i] :
( ~ ( r2 @ SV13 @ SY1039 )
| ! [SY1040: $i] :
( ~ ( r2 @ SY1039 @ SY1040 )
| ( SV37 @ SY1040 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(182,plain,
! [SV38: $i > $o,SV14: $i] :
( ( ( ~ ! [SY1041: $i] :
( ~ ( r2 @ SV14 @ SY1041 )
| ( SV38 @ SY1041 ) ) )
= $true )
| ( ( ! [SY1042: $i] :
( ~ ( r4 @ SV14 @ SY1042 )
| ! [SY1043: $i] :
( ~ ( r2 @ SY1042 @ SY1043 )
| ( SV38 @ SY1043 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(183,plain,
! [SV39: $i > $o,SV15: $i] :
( ( ( ~ ! [SY1044: $i] :
( ~ ( r3 @ SV15 @ SY1044 )
| ( SV39 @ SY1044 ) ) )
= $true )
| ( ( ! [SY1045: $i] :
( ~ ( r3 @ SV15 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( r3 @ SY1045 @ SY1046 )
| ( SV39 @ SY1046 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(184,plain,
! [SV40: $i > $o,SV16: $i] :
( ( ( ~ ! [SY1047: $i] :
( ~ ( r3 @ SV16 @ SY1047 )
| ( SV40 @ SY1047 ) ) )
= $true )
| ( ( ! [SY1048: $i] :
( ~ ( r4 @ SV16 @ SY1048 )
| ! [SY1049: $i] :
( ~ ( r3 @ SY1048 @ SY1049 )
| ( SV40 @ SY1049 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(185,plain,
! [SV41: $i > $o,SV17: $i] :
( ( ( ~ ! [SY1050: $i] :
( ~ ( r4 @ SV17 @ SY1050 )
| ( SV41 @ SY1050 ) ) )
= $true )
| ( ( ! [SY1051: $i] :
( ~ ( r1 @ SV17 @ SY1051 )
| ! [SY1052: $i] :
( ~ ( r4 @ SY1051 @ SY1052 )
| ( SV41 @ SY1052 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(186,plain,
! [SV42: $i > $o,SV18: $i] :
( ( ( ~ ! [SY1053: $i] :
( ~ ( r4 @ SV18 @ SY1053 )
| ( SV42 @ SY1053 ) ) )
= $true )
| ( ( ! [SY1054: $i] :
( ~ ( r2 @ SV18 @ SY1054 )
| ! [SY1055: $i] :
( ~ ( r4 @ SY1054 @ SY1055 )
| ( SV42 @ SY1055 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(187,plain,
! [SV43: $i > $o,SV19: $i] :
( ( ( ~ ! [SY1056: $i] :
( ~ ( r4 @ SV19 @ SY1056 )
| ( SV43 @ SY1056 ) ) )
= $true )
| ( ( ! [SY1057: $i] :
( ~ ( r3 @ SV19 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( r4 @ SY1057 @ SY1058 )
| ( SV43 @ SY1058 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(188,plain,
! [SV44: $i > $o,SV20: $i] :
( ( ( ~ ! [SY1059: $i] :
( ~ ( r4 @ SV20 @ SY1059 )
| ( SV44 @ SY1059 ) ) )
= $true )
| ( ( ! [SY1060: $i] :
( ~ ( r4 @ SV20 @ SY1060 )
| ! [SY1061: $i] :
( ~ ( r4 @ SY1060 @ SY1061 )
| ( SV44 @ SY1061 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(189,plain,
! [SV45: $i > $o,SV21: $i] :
( ( ( ~ ! [SY1062: $i] :
( ~ ( r4 @ SV21 @ SY1062 )
| ( SV45 @ SY1062 ) ) )
= $true )
| ( ( ! [SY1063: $i] :
( ~ ( r5 @ SV21 @ SY1063 )
| ! [SY1064: $i] :
( ~ ( r4 @ SY1063 @ SY1064 )
| ( SV45 @ SY1064 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(190,plain,
! [SV46: $i > $o,SV22: $i] :
( ( ( ~ ! [SY1065: $i] :
( ~ ( r5 @ SV22 @ SY1065 )
| ( SV46 @ SY1065 ) ) )
= $true )
| ( ( ! [SY1066: $i] :
( ~ ( r4 @ SV22 @ SY1066 )
| ! [SY1067: $i] :
( ~ ( r5 @ SY1066 @ SY1067 )
| ( SV46 @ SY1067 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(191,plain,
! [SV47: $i > $o,SV23: $i] :
( ( ( ~ ! [SY1068: $i] :
( ~ ( r5 @ SV23 @ SY1068 )
| ( SV47 @ SY1068 ) ) )
= $true )
| ( ( ! [SY1069: $i] :
( ~ ( r5 @ SV23 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( r5 @ SY1069 @ SY1070 )
| ( SV47 @ SY1070 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(192,plain,
! [SV48: $i > $o,SV24: $i] :
( ( ( ~ ~ ! [SY1071: $i] :
( ~ ( r4 @ SV24 @ SY1071 )
| ( SV48 @ SY1071 ) ) )
= $true )
| ( ( ! [SY1072: $i] :
( ~ ( r4 @ SV24 @ SY1072 )
| ~ ! [SY1073: $i] :
( ~ ( r4 @ SY1072 @ SY1073 )
| ( SV48 @ SY1073 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(193,plain,
! [SV25: mu] :
( ( ~ ( r4 @ sK1_SY19 @ ( sK2_SY1020 @ SV25 ) )
| ( good_in_maths @ SV25 @ ( sK2_SY1020 @ SV25 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[169]) ).
thf(194,plain,
! [SV1: $i,SV26: mu] :
( ( ( maths_teacher @ SV26 @ SV1 )
= $false )
| ( ( ! [SY1021: $i] :
( ~ ( r4 @ SV1 @ SY1021 )
| ( good_in_maths @ SV26 @ SY1021 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(195,plain,
! [SV27: $i,SV3: $i] :
( ( ( r2 @ SV3 @ SV27 )
= $false )
| ( ( mathematician @ tom @ SV27 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(196,plain,
! [SV28: $i,SV4: $i] :
( ( ( r5 @ SV4 @ SV28 )
= $false )
| ( ( maths_student @ peter @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(197,plain,
! [SV29: $i,SV5: $i] :
( ( ( r5 @ SV5 @ SV29 )
= $false )
| ( ( physics_student @ mike @ SV29 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(198,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ! [SY1022: $i] :
( ~ ( r4 @ SV6 @ SY1022 )
| ( SV30 @ SY1022 ) ) )
= $false )
| ( ( ~ ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(199,plain,
! [SV31: $i > $o,SV7: $i] :
( ( ( ! [SY1024: $i] :
( ~ ( r4 @ SV7 @ SY1024 )
| ( SV31 @ SY1024 ) ) )
= $false )
| ( ( ! [SY1025: $i] :
( ~ ( r1 @ SV7 @ SY1025 )
| ( SV31 @ SY1025 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(200,plain,
! [SV32: $i > $o,SV8: $i] :
( ( ( ! [SY1026: $i] :
( ~ ( r4 @ SV8 @ SY1026 )
| ( SV32 @ SY1026 ) ) )
= $false )
| ( ( ! [SY1027: $i] :
( ~ ( r2 @ SV8 @ SY1027 )
| ( SV32 @ SY1027 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(201,plain,
! [SV33: $i > $o,SV9: $i] :
( ( ( ! [SY1028: $i] :
( ~ ( r4 @ SV9 @ SY1028 )
| ( SV33 @ SY1028 ) ) )
= $false )
| ( ( ! [SY1029: $i] :
( ~ ( r3 @ SV9 @ SY1029 )
| ( SV33 @ SY1029 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(202,plain,
! [SV34: $i > $o,SV10: $i] :
( ( ( ! [SY1030: $i] :
( ~ ( r5 @ SV10 @ SY1030 )
| ( SV34 @ SY1030 ) ) )
= $false )
| ( ( ! [SY1031: $i] :
( ~ ( r4 @ SV10 @ SY1031 )
| ( SV34 @ SY1031 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(203,plain,
! [SV35: $i > $o,SV11: $i] :
( ( ( ! [SY1032: $i] :
( ~ ( r1 @ SV11 @ SY1032 )
| ( SV35 @ SY1032 ) ) )
= $false )
| ( ( ! [SY1033: $i] :
( ~ ( r1 @ SV11 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( r1 @ SY1033 @ SY1034 )
| ( SV35 @ SY1034 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(204,plain,
! [SV36: $i > $o,SV12: $i] :
( ( ( ! [SY1035: $i] :
( ~ ( r1 @ SV12 @ SY1035 )
| ( SV36 @ SY1035 ) ) )
= $false )
| ( ( ! [SY1036: $i] :
( ~ ( r4 @ SV12 @ SY1036 )
| ! [SY1037: $i] :
( ~ ( r1 @ SY1036 @ SY1037 )
| ( SV36 @ SY1037 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(205,plain,
! [SV37: $i > $o,SV13: $i] :
( ( ( ! [SY1038: $i] :
( ~ ( r2 @ SV13 @ SY1038 )
| ( SV37 @ SY1038 ) ) )
= $false )
| ( ( ! [SY1039: $i] :
( ~ ( r2 @ SV13 @ SY1039 )
| ! [SY1040: $i] :
( ~ ( r2 @ SY1039 @ SY1040 )
| ( SV37 @ SY1040 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(206,plain,
! [SV38: $i > $o,SV14: $i] :
( ( ( ! [SY1041: $i] :
( ~ ( r2 @ SV14 @ SY1041 )
| ( SV38 @ SY1041 ) ) )
= $false )
| ( ( ! [SY1042: $i] :
( ~ ( r4 @ SV14 @ SY1042 )
| ! [SY1043: $i] :
( ~ ( r2 @ SY1042 @ SY1043 )
| ( SV38 @ SY1043 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(207,plain,
! [SV39: $i > $o,SV15: $i] :
( ( ( ! [SY1044: $i] :
( ~ ( r3 @ SV15 @ SY1044 )
| ( SV39 @ SY1044 ) ) )
= $false )
| ( ( ! [SY1045: $i] :
( ~ ( r3 @ SV15 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( r3 @ SY1045 @ SY1046 )
| ( SV39 @ SY1046 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(208,plain,
! [SV40: $i > $o,SV16: $i] :
( ( ( ! [SY1047: $i] :
( ~ ( r3 @ SV16 @ SY1047 )
| ( SV40 @ SY1047 ) ) )
= $false )
| ( ( ! [SY1048: $i] :
( ~ ( r4 @ SV16 @ SY1048 )
| ! [SY1049: $i] :
( ~ ( r3 @ SY1048 @ SY1049 )
| ( SV40 @ SY1049 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(209,plain,
! [SV41: $i > $o,SV17: $i] :
( ( ( ! [SY1050: $i] :
( ~ ( r4 @ SV17 @ SY1050 )
| ( SV41 @ SY1050 ) ) )
= $false )
| ( ( ! [SY1051: $i] :
( ~ ( r1 @ SV17 @ SY1051 )
| ! [SY1052: $i] :
( ~ ( r4 @ SY1051 @ SY1052 )
| ( SV41 @ SY1052 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(210,plain,
! [SV42: $i > $o,SV18: $i] :
( ( ( ! [SY1053: $i] :
( ~ ( r4 @ SV18 @ SY1053 )
| ( SV42 @ SY1053 ) ) )
= $false )
| ( ( ! [SY1054: $i] :
( ~ ( r2 @ SV18 @ SY1054 )
| ! [SY1055: $i] :
( ~ ( r4 @ SY1054 @ SY1055 )
| ( SV42 @ SY1055 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(211,plain,
! [SV43: $i > $o,SV19: $i] :
( ( ( ! [SY1056: $i] :
( ~ ( r4 @ SV19 @ SY1056 )
| ( SV43 @ SY1056 ) ) )
= $false )
| ( ( ! [SY1057: $i] :
( ~ ( r3 @ SV19 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( r4 @ SY1057 @ SY1058 )
| ( SV43 @ SY1058 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(212,plain,
! [SV44: $i > $o,SV20: $i] :
( ( ( ! [SY1059: $i] :
( ~ ( r4 @ SV20 @ SY1059 )
| ( SV44 @ SY1059 ) ) )
= $false )
| ( ( ! [SY1060: $i] :
( ~ ( r4 @ SV20 @ SY1060 )
| ! [SY1061: $i] :
( ~ ( r4 @ SY1060 @ SY1061 )
| ( SV44 @ SY1061 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(213,plain,
! [SV45: $i > $o,SV21: $i] :
( ( ( ! [SY1062: $i] :
( ~ ( r4 @ SV21 @ SY1062 )
| ( SV45 @ SY1062 ) ) )
= $false )
| ( ( ! [SY1063: $i] :
( ~ ( r5 @ SV21 @ SY1063 )
| ! [SY1064: $i] :
( ~ ( r4 @ SY1063 @ SY1064 )
| ( SV45 @ SY1064 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(214,plain,
! [SV46: $i > $o,SV22: $i] :
( ( ( ! [SY1065: $i] :
( ~ ( r5 @ SV22 @ SY1065 )
| ( SV46 @ SY1065 ) ) )
= $false )
| ( ( ! [SY1066: $i] :
( ~ ( r4 @ SV22 @ SY1066 )
| ! [SY1067: $i] :
( ~ ( r5 @ SY1066 @ SY1067 )
| ( SV46 @ SY1067 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(215,plain,
! [SV47: $i > $o,SV23: $i] :
( ( ( ! [SY1068: $i] :
( ~ ( r5 @ SV23 @ SY1068 )
| ( SV47 @ SY1068 ) ) )
= $false )
| ( ( ! [SY1069: $i] :
( ~ ( r5 @ SV23 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( r5 @ SY1069 @ SY1070 )
| ( SV47 @ SY1070 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(216,plain,
! [SV48: $i > $o,SV24: $i] :
( ( ( ~ ! [SY1071: $i] :
( ~ ( r4 @ SV24 @ SY1071 )
| ( SV48 @ SY1071 ) ) )
= $false )
| ( ( ! [SY1072: $i] :
( ~ ( r4 @ SV24 @ SY1072 )
| ~ ! [SY1073: $i] :
( ~ ( r4 @ SY1072 @ SY1073 )
| ( SV48 @ SY1073 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(217,plain,
! [SV25: mu] :
( ( ~ ( r4 @ sK1_SY19 @ ( sK2_SY1020 @ SV25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(218,plain,
! [SV25: mu] :
( ( good_in_maths @ SV25 @ ( sK2_SY1020 @ SV25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[193]) ).
thf(219,plain,
! [SV26: mu,SV49: $i,SV1: $i] :
( ( ( ~ ( r4 @ SV1 @ SV49 )
| ( good_in_maths @ SV26 @ SV49 ) )
= $true )
| ( ( maths_teacher @ SV26 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(220,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ~ ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
| ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[198]) ).
thf(221,plain,
! [SV31: $i > $o,SV7: $i] :
( ( ( ~ ( r4 @ SV7 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
| ( SV31 @ ( sK4_SY1024 @ SV31 @ SV7 ) ) )
= $false )
| ( ( ! [SY1025: $i] :
( ~ ( r1 @ SV7 @ SY1025 )
| ( SV31 @ SY1025 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[199]) ).
thf(222,plain,
! [SV32: $i > $o,SV8: $i] :
( ( ( ~ ( r4 @ SV8 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
| ( SV32 @ ( sK5_SY1026 @ SV32 @ SV8 ) ) )
= $false )
| ( ( ! [SY1027: $i] :
( ~ ( r2 @ SV8 @ SY1027 )
| ( SV32 @ SY1027 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[200]) ).
thf(223,plain,
! [SV33: $i > $o,SV9: $i] :
( ( ( ~ ( r4 @ SV9 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
| ( SV33 @ ( sK6_SY1028 @ SV33 @ SV9 ) ) )
= $false )
| ( ( ! [SY1029: $i] :
( ~ ( r3 @ SV9 @ SY1029 )
| ( SV33 @ SY1029 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[201]) ).
thf(224,plain,
! [SV34: $i > $o,SV10: $i] :
( ( ( ~ ( r5 @ SV10 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
| ( SV34 @ ( sK7_SY1030 @ SV34 @ SV10 ) ) )
= $false )
| ( ( ! [SY1031: $i] :
( ~ ( r4 @ SV10 @ SY1031 )
| ( SV34 @ SY1031 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[202]) ).
thf(225,plain,
! [SV35: $i > $o,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
| ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) ) )
= $false )
| ( ( ! [SY1033: $i] :
( ~ ( r1 @ SV11 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( r1 @ SY1033 @ SY1034 )
| ( SV35 @ SY1034 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[203]) ).
thf(226,plain,
! [SV36: $i > $o,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
| ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) ) )
= $false )
| ( ( ! [SY1036: $i] :
( ~ ( r4 @ SV12 @ SY1036 )
| ! [SY1037: $i] :
( ~ ( r1 @ SY1036 @ SY1037 )
| ( SV36 @ SY1037 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[204]) ).
thf(227,plain,
! [SV37: $i > $o,SV13: $i] :
( ( ( ~ ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
| ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) ) )
= $false )
| ( ( ! [SY1039: $i] :
( ~ ( r2 @ SV13 @ SY1039 )
| ! [SY1040: $i] :
( ~ ( r2 @ SY1039 @ SY1040 )
| ( SV37 @ SY1040 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[205]) ).
thf(228,plain,
! [SV38: $i > $o,SV14: $i] :
( ( ( ~ ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
| ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) ) )
= $false )
| ( ( ! [SY1042: $i] :
( ~ ( r4 @ SV14 @ SY1042 )
| ! [SY1043: $i] :
( ~ ( r2 @ SY1042 @ SY1043 )
| ( SV38 @ SY1043 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[206]) ).
thf(229,plain,
! [SV39: $i > $o,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
| ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) ) )
= $false )
| ( ( ! [SY1045: $i] :
( ~ ( r3 @ SV15 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( r3 @ SY1045 @ SY1046 )
| ( SV39 @ SY1046 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[207]) ).
thf(230,plain,
! [SV40: $i > $o,SV16: $i] :
( ( ( ~ ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
| ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) ) )
= $false )
| ( ( ! [SY1048: $i] :
( ~ ( r4 @ SV16 @ SY1048 )
| ! [SY1049: $i] :
( ~ ( r3 @ SY1048 @ SY1049 )
| ( SV40 @ SY1049 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[208]) ).
thf(231,plain,
! [SV41: $i > $o,SV17: $i] :
( ( ( ~ ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
| ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) ) )
= $false )
| ( ( ! [SY1051: $i] :
( ~ ( r1 @ SV17 @ SY1051 )
| ! [SY1052: $i] :
( ~ ( r4 @ SY1051 @ SY1052 )
| ( SV41 @ SY1052 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[209]) ).
thf(232,plain,
! [SV42: $i > $o,SV18: $i] :
( ( ( ~ ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
| ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) ) )
= $false )
| ( ( ! [SY1054: $i] :
( ~ ( r2 @ SV18 @ SY1054 )
| ! [SY1055: $i] :
( ~ ( r4 @ SY1054 @ SY1055 )
| ( SV42 @ SY1055 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(233,plain,
! [SV43: $i > $o,SV19: $i] :
( ( ( ~ ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
| ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) ) )
= $false )
| ( ( ! [SY1057: $i] :
( ~ ( r3 @ SV19 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( r4 @ SY1057 @ SY1058 )
| ( SV43 @ SY1058 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[211]) ).
thf(234,plain,
! [SV44: $i > $o,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
| ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) ) )
= $false )
| ( ( ! [SY1060: $i] :
( ~ ( r4 @ SV20 @ SY1060 )
| ! [SY1061: $i] :
( ~ ( r4 @ SY1060 @ SY1061 )
| ( SV44 @ SY1061 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(235,plain,
! [SV45: $i > $o,SV21: $i] :
( ( ( ~ ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
| ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) ) )
= $false )
| ( ( ! [SY1063: $i] :
( ~ ( r5 @ SV21 @ SY1063 )
| ! [SY1064: $i] :
( ~ ( r4 @ SY1063 @ SY1064 )
| ( SV45 @ SY1064 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(236,plain,
! [SV46: $i > $o,SV22: $i] :
( ( ( ~ ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
| ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) ) )
= $false )
| ( ( ! [SY1066: $i] :
( ~ ( r4 @ SV22 @ SY1066 )
| ! [SY1067: $i] :
( ~ ( r5 @ SY1066 @ SY1067 )
| ( SV46 @ SY1067 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[214]) ).
thf(237,plain,
! [SV47: $i > $o,SV23: $i] :
( ( ( ~ ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
| ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) ) )
= $false )
| ( ( ! [SY1069: $i] :
( ~ ( r5 @ SV23 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( r5 @ SY1069 @ SY1070 )
| ( SV47 @ SY1070 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[215]) ).
thf(238,plain,
! [SV48: $i > $o,SV24: $i] :
( ( ( ! [SY1071: $i] :
( ~ ( r4 @ SV24 @ SY1071 )
| ( SV48 @ SY1071 ) ) )
= $true )
| ( ( ! [SY1072: $i] :
( ~ ( r4 @ SV24 @ SY1072 )
| ~ ! [SY1073: $i] :
( ~ ( r4 @ SY1072 @ SY1073 )
| ( SV48 @ SY1073 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(239,plain,
! [SV25: mu] :
( ( r4 @ sK1_SY19 @ ( sK2_SY1020 @ SV25 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(240,plain,
! [SV26: mu,SV49: $i,SV1: $i] :
( ( ( ~ ( r4 @ SV1 @ SV49 ) )
= $true )
| ( ( good_in_maths @ SV26 @ SV49 )
= $true )
| ( ( maths_teacher @ SV26 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(241,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ~ ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) ) )
= $false )
| ( ( ~ ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(242,plain,
! [SV6: $i,SV30: $i > $o] :
( ( ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $false )
| ( ( ~ ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(243,plain,
! [SV31: $i > $o,SV7: $i] :
( ( ( ~ ( r4 @ SV7 @ ( sK4_SY1024 @ SV31 @ SV7 ) ) )
= $false )
| ( ( ! [SY1025: $i] :
( ~ ( r1 @ SV7 @ SY1025 )
| ( SV31 @ SY1025 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(244,plain,
! [SV7: $i,SV31: $i > $o] :
( ( ( SV31 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $false )
| ( ( ! [SY1025: $i] :
( ~ ( r1 @ SV7 @ SY1025 )
| ( SV31 @ SY1025 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(245,plain,
! [SV32: $i > $o,SV8: $i] :
( ( ( ~ ( r4 @ SV8 @ ( sK5_SY1026 @ SV32 @ SV8 ) ) )
= $false )
| ( ( ! [SY1027: $i] :
( ~ ( r2 @ SV8 @ SY1027 )
| ( SV32 @ SY1027 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(246,plain,
! [SV8: $i,SV32: $i > $o] :
( ( ( SV32 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $false )
| ( ( ! [SY1027: $i] :
( ~ ( r2 @ SV8 @ SY1027 )
| ( SV32 @ SY1027 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(247,plain,
! [SV33: $i > $o,SV9: $i] :
( ( ( ~ ( r4 @ SV9 @ ( sK6_SY1028 @ SV33 @ SV9 ) ) )
= $false )
| ( ( ! [SY1029: $i] :
( ~ ( r3 @ SV9 @ SY1029 )
| ( SV33 @ SY1029 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(248,plain,
! [SV9: $i,SV33: $i > $o] :
( ( ( SV33 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $false )
| ( ( ! [SY1029: $i] :
( ~ ( r3 @ SV9 @ SY1029 )
| ( SV33 @ SY1029 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(249,plain,
! [SV34: $i > $o,SV10: $i] :
( ( ( ~ ( r5 @ SV10 @ ( sK7_SY1030 @ SV34 @ SV10 ) ) )
= $false )
| ( ( ! [SY1031: $i] :
( ~ ( r4 @ SV10 @ SY1031 )
| ( SV34 @ SY1031 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(250,plain,
! [SV10: $i,SV34: $i > $o] :
( ( ( SV34 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $false )
| ( ( ! [SY1031: $i] :
( ~ ( r4 @ SV10 @ SY1031 )
| ( SV34 @ SY1031 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(251,plain,
! [SV35: $i > $o,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) ) )
= $false )
| ( ( ! [SY1033: $i] :
( ~ ( r1 @ SV11 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( r1 @ SY1033 @ SY1034 )
| ( SV35 @ SY1034 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(252,plain,
! [SV11: $i,SV35: $i > $o] :
( ( ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $false )
| ( ( ! [SY1033: $i] :
( ~ ( r1 @ SV11 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( r1 @ SY1033 @ SY1034 )
| ( SV35 @ SY1034 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(253,plain,
! [SV36: $i > $o,SV12: $i] :
( ( ( ~ ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) ) )
= $false )
| ( ( ! [SY1036: $i] :
( ~ ( r4 @ SV12 @ SY1036 )
| ! [SY1037: $i] :
( ~ ( r1 @ SY1036 @ SY1037 )
| ( SV36 @ SY1037 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(254,plain,
! [SV12: $i,SV36: $i > $o] :
( ( ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $false )
| ( ( ! [SY1036: $i] :
( ~ ( r4 @ SV12 @ SY1036 )
| ! [SY1037: $i] :
( ~ ( r1 @ SY1036 @ SY1037 )
| ( SV36 @ SY1037 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(255,plain,
! [SV37: $i > $o,SV13: $i] :
( ( ( ~ ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) ) )
= $false )
| ( ( ! [SY1039: $i] :
( ~ ( r2 @ SV13 @ SY1039 )
| ! [SY1040: $i] :
( ~ ( r2 @ SY1039 @ SY1040 )
| ( SV37 @ SY1040 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(256,plain,
! [SV13: $i,SV37: $i > $o] :
( ( ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $false )
| ( ( ! [SY1039: $i] :
( ~ ( r2 @ SV13 @ SY1039 )
| ! [SY1040: $i] :
( ~ ( r2 @ SY1039 @ SY1040 )
| ( SV37 @ SY1040 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(257,plain,
! [SV38: $i > $o,SV14: $i] :
( ( ( ~ ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) ) )
= $false )
| ( ( ! [SY1042: $i] :
( ~ ( r4 @ SV14 @ SY1042 )
| ! [SY1043: $i] :
( ~ ( r2 @ SY1042 @ SY1043 )
| ( SV38 @ SY1043 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(258,plain,
! [SV14: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $false )
| ( ( ! [SY1042: $i] :
( ~ ( r4 @ SV14 @ SY1042 )
| ! [SY1043: $i] :
( ~ ( r2 @ SY1042 @ SY1043 )
| ( SV38 @ SY1043 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(259,plain,
! [SV39: $i > $o,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) ) )
= $false )
| ( ( ! [SY1045: $i] :
( ~ ( r3 @ SV15 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( r3 @ SY1045 @ SY1046 )
| ( SV39 @ SY1046 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(260,plain,
! [SV15: $i,SV39: $i > $o] :
( ( ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $false )
| ( ( ! [SY1045: $i] :
( ~ ( r3 @ SV15 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( r3 @ SY1045 @ SY1046 )
| ( SV39 @ SY1046 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(261,plain,
! [SV40: $i > $o,SV16: $i] :
( ( ( ~ ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) ) )
= $false )
| ( ( ! [SY1048: $i] :
( ~ ( r4 @ SV16 @ SY1048 )
| ! [SY1049: $i] :
( ~ ( r3 @ SY1048 @ SY1049 )
| ( SV40 @ SY1049 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(262,plain,
! [SV16: $i,SV40: $i > $o] :
( ( ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $false )
| ( ( ! [SY1048: $i] :
( ~ ( r4 @ SV16 @ SY1048 )
| ! [SY1049: $i] :
( ~ ( r3 @ SY1048 @ SY1049 )
| ( SV40 @ SY1049 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(263,plain,
! [SV41: $i > $o,SV17: $i] :
( ( ( ~ ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) ) )
= $false )
| ( ( ! [SY1051: $i] :
( ~ ( r1 @ SV17 @ SY1051 )
| ! [SY1052: $i] :
( ~ ( r4 @ SY1051 @ SY1052 )
| ( SV41 @ SY1052 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(264,plain,
! [SV17: $i,SV41: $i > $o] :
( ( ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $false )
| ( ( ! [SY1051: $i] :
( ~ ( r1 @ SV17 @ SY1051 )
| ! [SY1052: $i] :
( ~ ( r4 @ SY1051 @ SY1052 )
| ( SV41 @ SY1052 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(265,plain,
! [SV42: $i > $o,SV18: $i] :
( ( ( ~ ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) ) )
= $false )
| ( ( ! [SY1054: $i] :
( ~ ( r2 @ SV18 @ SY1054 )
| ! [SY1055: $i] :
( ~ ( r4 @ SY1054 @ SY1055 )
| ( SV42 @ SY1055 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(266,plain,
! [SV18: $i,SV42: $i > $o] :
( ( ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $false )
| ( ( ! [SY1054: $i] :
( ~ ( r2 @ SV18 @ SY1054 )
| ! [SY1055: $i] :
( ~ ( r4 @ SY1054 @ SY1055 )
| ( SV42 @ SY1055 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(267,plain,
! [SV43: $i > $o,SV19: $i] :
( ( ( ~ ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) ) )
= $false )
| ( ( ! [SY1057: $i] :
( ~ ( r3 @ SV19 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( r4 @ SY1057 @ SY1058 )
| ( SV43 @ SY1058 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(268,plain,
! [SV19: $i,SV43: $i > $o] :
( ( ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $false )
| ( ( ! [SY1057: $i] :
( ~ ( r3 @ SV19 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( r4 @ SY1057 @ SY1058 )
| ( SV43 @ SY1058 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(269,plain,
! [SV44: $i > $o,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) ) )
= $false )
| ( ( ! [SY1060: $i] :
( ~ ( r4 @ SV20 @ SY1060 )
| ! [SY1061: $i] :
( ~ ( r4 @ SY1060 @ SY1061 )
| ( SV44 @ SY1061 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(270,plain,
! [SV20: $i,SV44: $i > $o] :
( ( ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $false )
| ( ( ! [SY1060: $i] :
( ~ ( r4 @ SV20 @ SY1060 )
| ! [SY1061: $i] :
( ~ ( r4 @ SY1060 @ SY1061 )
| ( SV44 @ SY1061 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[234]) ).
thf(271,plain,
! [SV45: $i > $o,SV21: $i] :
( ( ( ~ ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) ) )
= $false )
| ( ( ! [SY1063: $i] :
( ~ ( r5 @ SV21 @ SY1063 )
| ! [SY1064: $i] :
( ~ ( r4 @ SY1063 @ SY1064 )
| ( SV45 @ SY1064 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(272,plain,
! [SV21: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $false )
| ( ( ! [SY1063: $i] :
( ~ ( r5 @ SV21 @ SY1063 )
| ! [SY1064: $i] :
( ~ ( r4 @ SY1063 @ SY1064 )
| ( SV45 @ SY1064 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(273,plain,
! [SV46: $i > $o,SV22: $i] :
( ( ( ~ ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) ) )
= $false )
| ( ( ! [SY1066: $i] :
( ~ ( r4 @ SV22 @ SY1066 )
| ! [SY1067: $i] :
( ~ ( r5 @ SY1066 @ SY1067 )
| ( SV46 @ SY1067 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(274,plain,
! [SV22: $i,SV46: $i > $o] :
( ( ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $false )
| ( ( ! [SY1066: $i] :
( ~ ( r4 @ SV22 @ SY1066 )
| ! [SY1067: $i] :
( ~ ( r5 @ SY1066 @ SY1067 )
| ( SV46 @ SY1067 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[236]) ).
thf(275,plain,
! [SV47: $i > $o,SV23: $i] :
( ( ( ~ ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) ) )
= $false )
| ( ( ! [SY1069: $i] :
( ~ ( r5 @ SV23 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( r5 @ SY1069 @ SY1070 )
| ( SV47 @ SY1070 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(276,plain,
! [SV23: $i,SV47: $i > $o] :
( ( ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $false )
| ( ( ! [SY1069: $i] :
( ~ ( r5 @ SV23 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( r5 @ SY1069 @ SY1070 )
| ( SV47 @ SY1070 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(277,plain,
! [SV48: $i > $o,SV50: $i,SV24: $i] :
( ( ( ~ ( r4 @ SV24 @ SV50 )
| ( SV48 @ SV50 ) )
= $true )
| ( ( ! [SY1072: $i] :
( ~ ( r4 @ SV24 @ SY1072 )
| ~ ! [SY1073: $i] :
( ~ ( r4 @ SY1072 @ SY1073 )
| ( SV48 @ SY1073 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(278,plain,
! [SV26: mu,SV49: $i,SV1: $i] :
( ( ( r4 @ SV1 @ SV49 )
= $false )
| ( ( good_in_maths @ SV26 @ SV49 )
= $true )
| ( ( maths_teacher @ SV26 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(279,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $true )
| ( ( ~ ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(280,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $false )
| ( ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(281,plain,
! [SV31: $i > $o,SV7: $i] :
( ( ( r4 @ SV7 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $true )
| ( ( ! [SY1025: $i] :
( ~ ( r1 @ SV7 @ SY1025 )
| ( SV31 @ SY1025 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(282,plain,
! [SV31: $i > $o,SV51: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV51 )
| ( SV31 @ SV51 ) )
= $true )
| ( ( SV31 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(283,plain,
! [SV32: $i > $o,SV8: $i] :
( ( ( r4 @ SV8 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $true )
| ( ( ! [SY1027: $i] :
( ~ ( r2 @ SV8 @ SY1027 )
| ( SV32 @ SY1027 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(284,plain,
! [SV32: $i > $o,SV52: $i,SV8: $i] :
( ( ( ~ ( r2 @ SV8 @ SV52 )
| ( SV32 @ SV52 ) )
= $true )
| ( ( SV32 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(285,plain,
! [SV33: $i > $o,SV9: $i] :
( ( ( r4 @ SV9 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $true )
| ( ( ! [SY1029: $i] :
( ~ ( r3 @ SV9 @ SY1029 )
| ( SV33 @ SY1029 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(286,plain,
! [SV33: $i > $o,SV53: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV53 )
| ( SV33 @ SV53 ) )
= $true )
| ( ( SV33 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(287,plain,
! [SV34: $i > $o,SV10: $i] :
( ( ( r5 @ SV10 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $true )
| ( ( ! [SY1031: $i] :
( ~ ( r4 @ SV10 @ SY1031 )
| ( SV34 @ SY1031 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(288,plain,
! [SV34: $i > $o,SV54: $i,SV10: $i] :
( ( ( ~ ( r4 @ SV10 @ SV54 )
| ( SV34 @ SV54 ) )
= $true )
| ( ( SV34 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(289,plain,
! [SV35: $i > $o,SV11: $i] :
( ( ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $true )
| ( ( ! [SY1033: $i] :
( ~ ( r1 @ SV11 @ SY1033 )
| ! [SY1034: $i] :
( ~ ( r1 @ SY1033 @ SY1034 )
| ( SV35 @ SY1034 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(290,plain,
! [SV35: $i > $o,SV55: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV55 )
| ! [SY1074: $i] :
( ~ ( r1 @ SV55 @ SY1074 )
| ( SV35 @ SY1074 ) ) )
= $true )
| ( ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(291,plain,
! [SV36: $i > $o,SV12: $i] :
( ( ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $true )
| ( ( ! [SY1036: $i] :
( ~ ( r4 @ SV12 @ SY1036 )
| ! [SY1037: $i] :
( ~ ( r1 @ SY1036 @ SY1037 )
| ( SV36 @ SY1037 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(292,plain,
! [SV36: $i > $o,SV56: $i,SV12: $i] :
( ( ( ~ ( r4 @ SV12 @ SV56 )
| ! [SY1075: $i] :
( ~ ( r1 @ SV56 @ SY1075 )
| ( SV36 @ SY1075 ) ) )
= $true )
| ( ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(293,plain,
! [SV37: $i > $o,SV13: $i] :
( ( ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $true )
| ( ( ! [SY1039: $i] :
( ~ ( r2 @ SV13 @ SY1039 )
| ! [SY1040: $i] :
( ~ ( r2 @ SY1039 @ SY1040 )
| ( SV37 @ SY1040 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(294,plain,
! [SV37: $i > $o,SV57: $i,SV13: $i] :
( ( ( ~ ( r2 @ SV13 @ SV57 )
| ! [SY1076: $i] :
( ~ ( r2 @ SV57 @ SY1076 )
| ( SV37 @ SY1076 ) ) )
= $true )
| ( ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(295,plain,
! [SV38: $i > $o,SV14: $i] :
( ( ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $true )
| ( ( ! [SY1042: $i] :
( ~ ( r4 @ SV14 @ SY1042 )
| ! [SY1043: $i] :
( ~ ( r2 @ SY1042 @ SY1043 )
| ( SV38 @ SY1043 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(296,plain,
! [SV38: $i > $o,SV58: $i,SV14: $i] :
( ( ( ~ ( r4 @ SV14 @ SV58 )
| ! [SY1077: $i] :
( ~ ( r2 @ SV58 @ SY1077 )
| ( SV38 @ SY1077 ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(297,plain,
! [SV39: $i > $o,SV15: $i] :
( ( ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $true )
| ( ( ! [SY1045: $i] :
( ~ ( r3 @ SV15 @ SY1045 )
| ! [SY1046: $i] :
( ~ ( r3 @ SY1045 @ SY1046 )
| ( SV39 @ SY1046 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(298,plain,
! [SV39: $i > $o,SV59: $i,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ SV59 )
| ! [SY1078: $i] :
( ~ ( r3 @ SV59 @ SY1078 )
| ( SV39 @ SY1078 ) ) )
= $true )
| ( ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(299,plain,
! [SV40: $i > $o,SV16: $i] :
( ( ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $true )
| ( ( ! [SY1048: $i] :
( ~ ( r4 @ SV16 @ SY1048 )
| ! [SY1049: $i] :
( ~ ( r3 @ SY1048 @ SY1049 )
| ( SV40 @ SY1049 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(300,plain,
! [SV40: $i > $o,SV60: $i,SV16: $i] :
( ( ( ~ ( r4 @ SV16 @ SV60 )
| ! [SY1079: $i] :
( ~ ( r3 @ SV60 @ SY1079 )
| ( SV40 @ SY1079 ) ) )
= $true )
| ( ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(301,plain,
! [SV41: $i > $o,SV17: $i] :
( ( ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $true )
| ( ( ! [SY1051: $i] :
( ~ ( r1 @ SV17 @ SY1051 )
| ! [SY1052: $i] :
( ~ ( r4 @ SY1051 @ SY1052 )
| ( SV41 @ SY1052 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(302,plain,
! [SV41: $i > $o,SV61: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV61 )
| ! [SY1080: $i] :
( ~ ( r4 @ SV61 @ SY1080 )
| ( SV41 @ SY1080 ) ) )
= $true )
| ( ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(303,plain,
! [SV42: $i > $o,SV18: $i] :
( ( ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $true )
| ( ( ! [SY1054: $i] :
( ~ ( r2 @ SV18 @ SY1054 )
| ! [SY1055: $i] :
( ~ ( r4 @ SY1054 @ SY1055 )
| ( SV42 @ SY1055 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(304,plain,
! [SV42: $i > $o,SV62: $i,SV18: $i] :
( ( ( ~ ( r2 @ SV18 @ SV62 )
| ! [SY1081: $i] :
( ~ ( r4 @ SV62 @ SY1081 )
| ( SV42 @ SY1081 ) ) )
= $true )
| ( ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(305,plain,
! [SV43: $i > $o,SV19: $i] :
( ( ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $true )
| ( ( ! [SY1057: $i] :
( ~ ( r3 @ SV19 @ SY1057 )
| ! [SY1058: $i] :
( ~ ( r4 @ SY1057 @ SY1058 )
| ( SV43 @ SY1058 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(306,plain,
! [SV43: $i > $o,SV63: $i,SV19: $i] :
( ( ( ~ ( r3 @ SV19 @ SV63 )
| ! [SY1082: $i] :
( ~ ( r4 @ SV63 @ SY1082 )
| ( SV43 @ SY1082 ) ) )
= $true )
| ( ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(307,plain,
! [SV44: $i > $o,SV20: $i] :
( ( ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $true )
| ( ( ! [SY1060: $i] :
( ~ ( r4 @ SV20 @ SY1060 )
| ! [SY1061: $i] :
( ~ ( r4 @ SY1060 @ SY1061 )
| ( SV44 @ SY1061 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(308,plain,
! [SV44: $i > $o,SV64: $i,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ SV64 )
| ! [SY1083: $i] :
( ~ ( r4 @ SV64 @ SY1083 )
| ( SV44 @ SY1083 ) ) )
= $true )
| ( ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(309,plain,
! [SV45: $i > $o,SV21: $i] :
( ( ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $true )
| ( ( ! [SY1063: $i] :
( ~ ( r5 @ SV21 @ SY1063 )
| ! [SY1064: $i] :
( ~ ( r4 @ SY1063 @ SY1064 )
| ( SV45 @ SY1064 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[271]) ).
thf(310,plain,
! [SV45: $i > $o,SV65: $i,SV21: $i] :
( ( ( ~ ( r5 @ SV21 @ SV65 )
| ! [SY1084: $i] :
( ~ ( r4 @ SV65 @ SY1084 )
| ( SV45 @ SY1084 ) ) )
= $true )
| ( ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(311,plain,
! [SV46: $i > $o,SV22: $i] :
( ( ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $true )
| ( ( ! [SY1066: $i] :
( ~ ( r4 @ SV22 @ SY1066 )
| ! [SY1067: $i] :
( ~ ( r5 @ SY1066 @ SY1067 )
| ( SV46 @ SY1067 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(312,plain,
! [SV46: $i > $o,SV66: $i,SV22: $i] :
( ( ( ~ ( r4 @ SV22 @ SV66 )
| ! [SY1085: $i] :
( ~ ( r5 @ SV66 @ SY1085 )
| ( SV46 @ SY1085 ) ) )
= $true )
| ( ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(313,plain,
! [SV47: $i > $o,SV23: $i] :
( ( ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $true )
| ( ( ! [SY1069: $i] :
( ~ ( r5 @ SV23 @ SY1069 )
| ! [SY1070: $i] :
( ~ ( r5 @ SY1069 @ SY1070 )
| ( SV47 @ SY1070 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(314,plain,
! [SV47: $i > $o,SV67: $i,SV23: $i] :
( ( ( ~ ( r5 @ SV23 @ SV67 )
| ! [SY1086: $i] :
( ~ ( r5 @ SV67 @ SY1086 )
| ( SV47 @ SY1086 ) ) )
= $true )
| ( ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(315,plain,
! [SV48: $i > $o,SV50: $i,SV24: $i] :
( ( ( ~ ( r4 @ SV24 @ SV50 ) )
= $true )
| ( ( SV48 @ SV50 )
= $true )
| ( ( ! [SY1072: $i] :
( ~ ( r4 @ SV24 @ SY1072 )
| ~ ! [SY1073: $i] :
( ~ ( r4 @ SY1072 @ SY1073 )
| ( SV48 @ SY1073 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(316,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ! [SY1023: $i] :
( ~ ( r4 @ SV6 @ SY1023 )
| ~ ( SV30 @ SY1023 ) ) )
= $false )
| ( ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(317,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ~ ( r4 @ SV6 @ ( sK21_SY1023 @ SV30 @ SV6 ) )
| ~ ( SV30 @ ( sK21_SY1023 @ SV30 @ SV6 ) ) )
= $false )
| ( ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[280]) ).
thf(318,plain,
! [SV31: $i > $o,SV68: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV68 )
| ( SV31 @ SV68 ) )
= $true )
| ( ( r4 @ SV7 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(319,plain,
! [SV31: $i > $o,SV51: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV51 ) )
= $true )
| ( ( SV31 @ SV51 )
= $true )
| ( ( SV31 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(320,plain,
! [SV32: $i > $o,SV69: $i,SV8: $i] :
( ( ( ~ ( r2 @ SV8 @ SV69 )
| ( SV32 @ SV69 ) )
= $true )
| ( ( r4 @ SV8 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(321,plain,
! [SV32: $i > $o,SV52: $i,SV8: $i] :
( ( ( ~ ( r2 @ SV8 @ SV52 ) )
= $true )
| ( ( SV32 @ SV52 )
= $true )
| ( ( SV32 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(322,plain,
! [SV33: $i > $o,SV70: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV70 )
| ( SV33 @ SV70 ) )
= $true )
| ( ( r4 @ SV9 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(323,plain,
! [SV33: $i > $o,SV53: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV53 ) )
= $true )
| ( ( SV33 @ SV53 )
= $true )
| ( ( SV33 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(324,plain,
! [SV34: $i > $o,SV71: $i,SV10: $i] :
( ( ( ~ ( r4 @ SV10 @ SV71 )
| ( SV34 @ SV71 ) )
= $true )
| ( ( r5 @ SV10 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(325,plain,
! [SV34: $i > $o,SV54: $i,SV10: $i] :
( ( ( ~ ( r4 @ SV10 @ SV54 ) )
= $true )
| ( ( SV34 @ SV54 )
= $true )
| ( ( SV34 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(326,plain,
! [SV35: $i > $o,SV72: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV72 )
| ! [SY1087: $i] :
( ~ ( r1 @ SV72 @ SY1087 )
| ( SV35 @ SY1087 ) ) )
= $true )
| ( ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(327,plain,
! [SV35: $i > $o,SV55: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV55 ) )
= $true )
| ( ( ! [SY1074: $i] :
( ~ ( r1 @ SV55 @ SY1074 )
| ( SV35 @ SY1074 ) ) )
= $true )
| ( ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(328,plain,
! [SV36: $i > $o,SV73: $i,SV12: $i] :
( ( ( ~ ( r4 @ SV12 @ SV73 )
| ! [SY1088: $i] :
( ~ ( r1 @ SV73 @ SY1088 )
| ( SV36 @ SY1088 ) ) )
= $true )
| ( ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(329,plain,
! [SV36: $i > $o,SV56: $i,SV12: $i] :
( ( ( ~ ( r4 @ SV12 @ SV56 ) )
= $true )
| ( ( ! [SY1075: $i] :
( ~ ( r1 @ SV56 @ SY1075 )
| ( SV36 @ SY1075 ) ) )
= $true )
| ( ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(330,plain,
! [SV37: $i > $o,SV74: $i,SV13: $i] :
( ( ( ~ ( r2 @ SV13 @ SV74 )
| ! [SY1089: $i] :
( ~ ( r2 @ SV74 @ SY1089 )
| ( SV37 @ SY1089 ) ) )
= $true )
| ( ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(331,plain,
! [SV37: $i > $o,SV57: $i,SV13: $i] :
( ( ( ~ ( r2 @ SV13 @ SV57 ) )
= $true )
| ( ( ! [SY1076: $i] :
( ~ ( r2 @ SV57 @ SY1076 )
| ( SV37 @ SY1076 ) ) )
= $true )
| ( ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(332,plain,
! [SV38: $i > $o,SV75: $i,SV14: $i] :
( ( ( ~ ( r4 @ SV14 @ SV75 )
| ! [SY1090: $i] :
( ~ ( r2 @ SV75 @ SY1090 )
| ( SV38 @ SY1090 ) ) )
= $true )
| ( ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(333,plain,
! [SV38: $i > $o,SV58: $i,SV14: $i] :
( ( ( ~ ( r4 @ SV14 @ SV58 ) )
= $true )
| ( ( ! [SY1077: $i] :
( ~ ( r2 @ SV58 @ SY1077 )
| ( SV38 @ SY1077 ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(334,plain,
! [SV39: $i > $o,SV76: $i,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ SV76 )
| ! [SY1091: $i] :
( ~ ( r3 @ SV76 @ SY1091 )
| ( SV39 @ SY1091 ) ) )
= $true )
| ( ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(335,plain,
! [SV39: $i > $o,SV59: $i,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ SV59 ) )
= $true )
| ( ( ! [SY1078: $i] :
( ~ ( r3 @ SV59 @ SY1078 )
| ( SV39 @ SY1078 ) ) )
= $true )
| ( ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(336,plain,
! [SV40: $i > $o,SV77: $i,SV16: $i] :
( ( ( ~ ( r4 @ SV16 @ SV77 )
| ! [SY1092: $i] :
( ~ ( r3 @ SV77 @ SY1092 )
| ( SV40 @ SY1092 ) ) )
= $true )
| ( ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(337,plain,
! [SV40: $i > $o,SV60: $i,SV16: $i] :
( ( ( ~ ( r4 @ SV16 @ SV60 ) )
= $true )
| ( ( ! [SY1079: $i] :
( ~ ( r3 @ SV60 @ SY1079 )
| ( SV40 @ SY1079 ) ) )
= $true )
| ( ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(338,plain,
! [SV41: $i > $o,SV78: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV78 )
| ! [SY1093: $i] :
( ~ ( r4 @ SV78 @ SY1093 )
| ( SV41 @ SY1093 ) ) )
= $true )
| ( ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(339,plain,
! [SV41: $i > $o,SV61: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV61 ) )
= $true )
| ( ( ! [SY1080: $i] :
( ~ ( r4 @ SV61 @ SY1080 )
| ( SV41 @ SY1080 ) ) )
= $true )
| ( ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(340,plain,
! [SV42: $i > $o,SV79: $i,SV18: $i] :
( ( ( ~ ( r2 @ SV18 @ SV79 )
| ! [SY1094: $i] :
( ~ ( r4 @ SV79 @ SY1094 )
| ( SV42 @ SY1094 ) ) )
= $true )
| ( ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(341,plain,
! [SV42: $i > $o,SV62: $i,SV18: $i] :
( ( ( ~ ( r2 @ SV18 @ SV62 ) )
= $true )
| ( ( ! [SY1081: $i] :
( ~ ( r4 @ SV62 @ SY1081 )
| ( SV42 @ SY1081 ) ) )
= $true )
| ( ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(342,plain,
! [SV43: $i > $o,SV80: $i,SV19: $i] :
( ( ( ~ ( r3 @ SV19 @ SV80 )
| ! [SY1095: $i] :
( ~ ( r4 @ SV80 @ SY1095 )
| ( SV43 @ SY1095 ) ) )
= $true )
| ( ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(343,plain,
! [SV43: $i > $o,SV63: $i,SV19: $i] :
( ( ( ~ ( r3 @ SV19 @ SV63 ) )
= $true )
| ( ( ! [SY1082: $i] :
( ~ ( r4 @ SV63 @ SY1082 )
| ( SV43 @ SY1082 ) ) )
= $true )
| ( ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(344,plain,
! [SV44: $i > $o,SV81: $i,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ SV81 )
| ! [SY1096: $i] :
( ~ ( r4 @ SV81 @ SY1096 )
| ( SV44 @ SY1096 ) ) )
= $true )
| ( ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(345,plain,
! [SV44: $i > $o,SV64: $i,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ SV64 ) )
= $true )
| ( ( ! [SY1083: $i] :
( ~ ( r4 @ SV64 @ SY1083 )
| ( SV44 @ SY1083 ) ) )
= $true )
| ( ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(346,plain,
! [SV45: $i > $o,SV82: $i,SV21: $i] :
( ( ( ~ ( r5 @ SV21 @ SV82 )
| ! [SY1097: $i] :
( ~ ( r4 @ SV82 @ SY1097 )
| ( SV45 @ SY1097 ) ) )
= $true )
| ( ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(347,plain,
! [SV45: $i > $o,SV65: $i,SV21: $i] :
( ( ( ~ ( r5 @ SV21 @ SV65 ) )
= $true )
| ( ( ! [SY1084: $i] :
( ~ ( r4 @ SV65 @ SY1084 )
| ( SV45 @ SY1084 ) ) )
= $true )
| ( ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(348,plain,
! [SV46: $i > $o,SV83: $i,SV22: $i] :
( ( ( ~ ( r4 @ SV22 @ SV83 )
| ! [SY1098: $i] :
( ~ ( r5 @ SV83 @ SY1098 )
| ( SV46 @ SY1098 ) ) )
= $true )
| ( ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(349,plain,
! [SV46: $i > $o,SV66: $i,SV22: $i] :
( ( ( ~ ( r4 @ SV22 @ SV66 ) )
= $true )
| ( ( ! [SY1085: $i] :
( ~ ( r5 @ SV66 @ SY1085 )
| ( SV46 @ SY1085 ) ) )
= $true )
| ( ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(350,plain,
! [SV47: $i > $o,SV84: $i,SV23: $i] :
( ( ( ~ ( r5 @ SV23 @ SV84 )
| ! [SY1099: $i] :
( ~ ( r5 @ SV84 @ SY1099 )
| ( SV47 @ SY1099 ) ) )
= $true )
| ( ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(351,plain,
! [SV47: $i > $o,SV67: $i,SV23: $i] :
( ( ( ~ ( r5 @ SV23 @ SV67 ) )
= $true )
| ( ( ! [SY1086: $i] :
( ~ ( r5 @ SV67 @ SY1086 )
| ( SV47 @ SY1086 ) ) )
= $true )
| ( ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(352,plain,
! [SV48: $i > $o,SV50: $i,SV24: $i] :
( ( ( r4 @ SV24 @ SV50 )
= $false )
| ( ( SV48 @ SV50 )
= $true )
| ( ( ! [SY1072: $i] :
( ~ ( r4 @ SV24 @ SY1072 )
| ~ ! [SY1073: $i] :
( ~ ( r4 @ SY1072 @ SY1073 )
| ( SV48 @ SY1073 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(353,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ~ ( r4 @ SV6 @ ( sK22_SY1023 @ SV30 @ SV6 ) )
| ~ ( SV30 @ ( sK22_SY1023 @ SV30 @ SV6 ) ) )
= $false )
| ( ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[316]) ).
thf(354,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ~ ( r4 @ SV6 @ ( sK21_SY1023 @ SV30 @ SV6 ) ) )
= $false )
| ( ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(355,plain,
! [SV6: $i,SV30: $i > $o] :
( ( ( ~ ( SV30 @ ( sK21_SY1023 @ SV30 @ SV6 ) ) )
= $false )
| ( ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(356,plain,
! [SV31: $i > $o,SV68: $i,SV7: $i] :
( ( ( ~ ( r1 @ SV7 @ SV68 ) )
= $true )
| ( ( SV31 @ SV68 )
= $true )
| ( ( r4 @ SV7 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[318]) ).
thf(357,plain,
! [SV31: $i > $o,SV51: $i,SV7: $i] :
( ( ( r1 @ SV7 @ SV51 )
= $false )
| ( ( SV31 @ SV51 )
= $true )
| ( ( SV31 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(358,plain,
! [SV32: $i > $o,SV69: $i,SV8: $i] :
( ( ( ~ ( r2 @ SV8 @ SV69 ) )
= $true )
| ( ( SV32 @ SV69 )
= $true )
| ( ( r4 @ SV8 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(359,plain,
! [SV32: $i > $o,SV52: $i,SV8: $i] :
( ( ( r2 @ SV8 @ SV52 )
= $false )
| ( ( SV32 @ SV52 )
= $true )
| ( ( SV32 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(360,plain,
! [SV33: $i > $o,SV70: $i,SV9: $i] :
( ( ( ~ ( r3 @ SV9 @ SV70 ) )
= $true )
| ( ( SV33 @ SV70 )
= $true )
| ( ( r4 @ SV9 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(361,plain,
! [SV33: $i > $o,SV53: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV53 )
= $false )
| ( ( SV33 @ SV53 )
= $true )
| ( ( SV33 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(362,plain,
! [SV34: $i > $o,SV71: $i,SV10: $i] :
( ( ( ~ ( r4 @ SV10 @ SV71 ) )
= $true )
| ( ( SV34 @ SV71 )
= $true )
| ( ( r5 @ SV10 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(363,plain,
! [SV34: $i > $o,SV54: $i,SV10: $i] :
( ( ( r4 @ SV10 @ SV54 )
= $false )
| ( ( SV34 @ SV54 )
= $true )
| ( ( SV34 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(364,plain,
! [SV35: $i > $o,SV72: $i,SV11: $i] :
( ( ( ~ ( r1 @ SV11 @ SV72 ) )
= $true )
| ( ( ! [SY1087: $i] :
( ~ ( r1 @ SV72 @ SY1087 )
| ( SV35 @ SY1087 ) ) )
= $true )
| ( ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(365,plain,
! [SV35: $i > $o,SV55: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV55 )
= $false )
| ( ( ! [SY1074: $i] :
( ~ ( r1 @ SV55 @ SY1074 )
| ( SV35 @ SY1074 ) ) )
= $true )
| ( ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(366,plain,
! [SV36: $i > $o,SV73: $i,SV12: $i] :
( ( ( ~ ( r4 @ SV12 @ SV73 ) )
= $true )
| ( ( ! [SY1088: $i] :
( ~ ( r1 @ SV73 @ SY1088 )
| ( SV36 @ SY1088 ) ) )
= $true )
| ( ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(367,plain,
! [SV36: $i > $o,SV56: $i,SV12: $i] :
( ( ( r4 @ SV12 @ SV56 )
= $false )
| ( ( ! [SY1075: $i] :
( ~ ( r1 @ SV56 @ SY1075 )
| ( SV36 @ SY1075 ) ) )
= $true )
| ( ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(368,plain,
! [SV37: $i > $o,SV74: $i,SV13: $i] :
( ( ( ~ ( r2 @ SV13 @ SV74 ) )
= $true )
| ( ( ! [SY1089: $i] :
( ~ ( r2 @ SV74 @ SY1089 )
| ( SV37 @ SY1089 ) ) )
= $true )
| ( ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(369,plain,
! [SV37: $i > $o,SV57: $i,SV13: $i] :
( ( ( r2 @ SV13 @ SV57 )
= $false )
| ( ( ! [SY1076: $i] :
( ~ ( r2 @ SV57 @ SY1076 )
| ( SV37 @ SY1076 ) ) )
= $true )
| ( ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(370,plain,
! [SV38: $i > $o,SV75: $i,SV14: $i] :
( ( ( ~ ( r4 @ SV14 @ SV75 ) )
= $true )
| ( ( ! [SY1090: $i] :
( ~ ( r2 @ SV75 @ SY1090 )
| ( SV38 @ SY1090 ) ) )
= $true )
| ( ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(371,plain,
! [SV38: $i > $o,SV58: $i,SV14: $i] :
( ( ( r4 @ SV14 @ SV58 )
= $false )
| ( ( ! [SY1077: $i] :
( ~ ( r2 @ SV58 @ SY1077 )
| ( SV38 @ SY1077 ) ) )
= $true )
| ( ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(372,plain,
! [SV39: $i > $o,SV76: $i,SV15: $i] :
( ( ( ~ ( r3 @ SV15 @ SV76 ) )
= $true )
| ( ( ! [SY1091: $i] :
( ~ ( r3 @ SV76 @ SY1091 )
| ( SV39 @ SY1091 ) ) )
= $true )
| ( ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(373,plain,
! [SV39: $i > $o,SV59: $i,SV15: $i] :
( ( ( r3 @ SV15 @ SV59 )
= $false )
| ( ( ! [SY1078: $i] :
( ~ ( r3 @ SV59 @ SY1078 )
| ( SV39 @ SY1078 ) ) )
= $true )
| ( ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(374,plain,
! [SV40: $i > $o,SV77: $i,SV16: $i] :
( ( ( ~ ( r4 @ SV16 @ SV77 ) )
= $true )
| ( ( ! [SY1092: $i] :
( ~ ( r3 @ SV77 @ SY1092 )
| ( SV40 @ SY1092 ) ) )
= $true )
| ( ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(375,plain,
! [SV40: $i > $o,SV60: $i,SV16: $i] :
( ( ( r4 @ SV16 @ SV60 )
= $false )
| ( ( ! [SY1079: $i] :
( ~ ( r3 @ SV60 @ SY1079 )
| ( SV40 @ SY1079 ) ) )
= $true )
| ( ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(376,plain,
! [SV41: $i > $o,SV78: $i,SV17: $i] :
( ( ( ~ ( r1 @ SV17 @ SV78 ) )
= $true )
| ( ( ! [SY1093: $i] :
( ~ ( r4 @ SV78 @ SY1093 )
| ( SV41 @ SY1093 ) ) )
= $true )
| ( ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(377,plain,
! [SV41: $i > $o,SV61: $i,SV17: $i] :
( ( ( r1 @ SV17 @ SV61 )
= $false )
| ( ( ! [SY1080: $i] :
( ~ ( r4 @ SV61 @ SY1080 )
| ( SV41 @ SY1080 ) ) )
= $true )
| ( ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(378,plain,
! [SV42: $i > $o,SV79: $i,SV18: $i] :
( ( ( ~ ( r2 @ SV18 @ SV79 ) )
= $true )
| ( ( ! [SY1094: $i] :
( ~ ( r4 @ SV79 @ SY1094 )
| ( SV42 @ SY1094 ) ) )
= $true )
| ( ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(379,plain,
! [SV42: $i > $o,SV62: $i,SV18: $i] :
( ( ( r2 @ SV18 @ SV62 )
= $false )
| ( ( ! [SY1081: $i] :
( ~ ( r4 @ SV62 @ SY1081 )
| ( SV42 @ SY1081 ) ) )
= $true )
| ( ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(380,plain,
! [SV43: $i > $o,SV80: $i,SV19: $i] :
( ( ( ~ ( r3 @ SV19 @ SV80 ) )
= $true )
| ( ( ! [SY1095: $i] :
( ~ ( r4 @ SV80 @ SY1095 )
| ( SV43 @ SY1095 ) ) )
= $true )
| ( ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(381,plain,
! [SV43: $i > $o,SV63: $i,SV19: $i] :
( ( ( r3 @ SV19 @ SV63 )
= $false )
| ( ( ! [SY1082: $i] :
( ~ ( r4 @ SV63 @ SY1082 )
| ( SV43 @ SY1082 ) ) )
= $true )
| ( ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(382,plain,
! [SV44: $i > $o,SV81: $i,SV20: $i] :
( ( ( ~ ( r4 @ SV20 @ SV81 ) )
= $true )
| ( ( ! [SY1096: $i] :
( ~ ( r4 @ SV81 @ SY1096 )
| ( SV44 @ SY1096 ) ) )
= $true )
| ( ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(383,plain,
! [SV44: $i > $o,SV64: $i,SV20: $i] :
( ( ( r4 @ SV20 @ SV64 )
= $false )
| ( ( ! [SY1083: $i] :
( ~ ( r4 @ SV64 @ SY1083 )
| ( SV44 @ SY1083 ) ) )
= $true )
| ( ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(384,plain,
! [SV45: $i > $o,SV82: $i,SV21: $i] :
( ( ( ~ ( r5 @ SV21 @ SV82 ) )
= $true )
| ( ( ! [SY1097: $i] :
( ~ ( r4 @ SV82 @ SY1097 )
| ( SV45 @ SY1097 ) ) )
= $true )
| ( ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(385,plain,
! [SV45: $i > $o,SV65: $i,SV21: $i] :
( ( ( r5 @ SV21 @ SV65 )
= $false )
| ( ( ! [SY1084: $i] :
( ~ ( r4 @ SV65 @ SY1084 )
| ( SV45 @ SY1084 ) ) )
= $true )
| ( ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(386,plain,
! [SV46: $i > $o,SV83: $i,SV22: $i] :
( ( ( ~ ( r4 @ SV22 @ SV83 ) )
= $true )
| ( ( ! [SY1098: $i] :
( ~ ( r5 @ SV83 @ SY1098 )
| ( SV46 @ SY1098 ) ) )
= $true )
| ( ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(387,plain,
! [SV46: $i > $o,SV66: $i,SV22: $i] :
( ( ( r4 @ SV22 @ SV66 )
= $false )
| ( ( ! [SY1085: $i] :
( ~ ( r5 @ SV66 @ SY1085 )
| ( SV46 @ SY1085 ) ) )
= $true )
| ( ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(388,plain,
! [SV47: $i > $o,SV84: $i,SV23: $i] :
( ( ( ~ ( r5 @ SV23 @ SV84 ) )
= $true )
| ( ( ! [SY1099: $i] :
( ~ ( r5 @ SV84 @ SY1099 )
| ( SV47 @ SY1099 ) ) )
= $true )
| ( ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(389,plain,
! [SV47: $i > $o,SV67: $i,SV23: $i] :
( ( ( r5 @ SV23 @ SV67 )
= $false )
| ( ( ! [SY1086: $i] :
( ~ ( r5 @ SV67 @ SY1086 )
| ( SV47 @ SY1086 ) ) )
= $true )
| ( ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(390,plain,
! [SV50: $i,SV48: $i > $o,SV85: $i,SV24: $i] :
( ( ( ~ ( r4 @ SV24 @ SV85 )
| ~ ! [SY1100: $i] :
( ~ ( r4 @ SV85 @ SY1100 )
| ( SV48 @ SY1100 ) ) )
= $true )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(391,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( ~ ( r4 @ SV6 @ ( sK22_SY1023 @ SV30 @ SV6 ) ) )
= $false )
| ( ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(392,plain,
! [SV6: $i,SV30: $i > $o] :
( ( ( ~ ( SV30 @ ( sK22_SY1023 @ SV30 @ SV6 ) ) )
= $false )
| ( ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(393,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( r4 @ SV6 @ ( sK21_SY1023 @ SV30 @ SV6 ) )
= $true )
| ( ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(394,plain,
! [SV6: $i,SV30: $i > $o] :
( ( ( SV30 @ ( sK21_SY1023 @ SV30 @ SV6 ) )
= $true )
| ( ( SV30 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(395,plain,
! [SV31: $i > $o,SV68: $i,SV7: $i] :
( ( ( r1 @ SV7 @ SV68 )
= $false )
| ( ( SV31 @ SV68 )
= $true )
| ( ( r4 @ SV7 @ ( sK4_SY1024 @ SV31 @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(396,plain,
! [SV32: $i > $o,SV69: $i,SV8: $i] :
( ( ( r2 @ SV8 @ SV69 )
= $false )
| ( ( SV32 @ SV69 )
= $true )
| ( ( r4 @ SV8 @ ( sK5_SY1026 @ SV32 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(397,plain,
! [SV33: $i > $o,SV70: $i,SV9: $i] :
( ( ( r3 @ SV9 @ SV70 )
= $false )
| ( ( SV33 @ SV70 )
= $true )
| ( ( r4 @ SV9 @ ( sK6_SY1028 @ SV33 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(398,plain,
! [SV34: $i > $o,SV71: $i,SV10: $i] :
( ( ( r4 @ SV10 @ SV71 )
= $false )
| ( ( SV34 @ SV71 )
= $true )
| ( ( r5 @ SV10 @ ( sK7_SY1030 @ SV34 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(399,plain,
! [SV35: $i > $o,SV72: $i,SV11: $i] :
( ( ( r1 @ SV11 @ SV72 )
= $false )
| ( ( ! [SY1087: $i] :
( ~ ( r1 @ SV72 @ SY1087 )
| ( SV35 @ SY1087 ) ) )
= $true )
| ( ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(400,plain,
! [SV11: $i,SV35: $i > $o,SV86: $i,SV55: $i] :
( ( ( ~ ( r1 @ SV55 @ SV86 )
| ( SV35 @ SV86 ) )
= $true )
| ( ( r1 @ SV11 @ SV55 )
= $false )
| ( ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(401,plain,
! [SV36: $i > $o,SV73: $i,SV12: $i] :
( ( ( r4 @ SV12 @ SV73 )
= $false )
| ( ( ! [SY1088: $i] :
( ~ ( r1 @ SV73 @ SY1088 )
| ( SV36 @ SY1088 ) ) )
= $true )
| ( ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(402,plain,
! [SV12: $i,SV36: $i > $o,SV87: $i,SV56: $i] :
( ( ( ~ ( r1 @ SV56 @ SV87 )
| ( SV36 @ SV87 ) )
= $true )
| ( ( r4 @ SV12 @ SV56 )
= $false )
| ( ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(403,plain,
! [SV37: $i > $o,SV74: $i,SV13: $i] :
( ( ( r2 @ SV13 @ SV74 )
= $false )
| ( ( ! [SY1089: $i] :
( ~ ( r2 @ SV74 @ SY1089 )
| ( SV37 @ SY1089 ) ) )
= $true )
| ( ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(404,plain,
! [SV13: $i,SV37: $i > $o,SV88: $i,SV57: $i] :
( ( ( ~ ( r2 @ SV57 @ SV88 )
| ( SV37 @ SV88 ) )
= $true )
| ( ( r2 @ SV13 @ SV57 )
= $false )
| ( ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(405,plain,
! [SV38: $i > $o,SV75: $i,SV14: $i] :
( ( ( r4 @ SV14 @ SV75 )
= $false )
| ( ( ! [SY1090: $i] :
( ~ ( r2 @ SV75 @ SY1090 )
| ( SV38 @ SY1090 ) ) )
= $true )
| ( ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(406,plain,
! [SV14: $i,SV38: $i > $o,SV89: $i,SV58: $i] :
( ( ( ~ ( r2 @ SV58 @ SV89 )
| ( SV38 @ SV89 ) )
= $true )
| ( ( r4 @ SV14 @ SV58 )
= $false )
| ( ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(407,plain,
! [SV39: $i > $o,SV76: $i,SV15: $i] :
( ( ( r3 @ SV15 @ SV76 )
= $false )
| ( ( ! [SY1091: $i] :
( ~ ( r3 @ SV76 @ SY1091 )
| ( SV39 @ SY1091 ) ) )
= $true )
| ( ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(408,plain,
! [SV15: $i,SV39: $i > $o,SV90: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV90 )
| ( SV39 @ SV90 ) )
= $true )
| ( ( r3 @ SV15 @ SV59 )
= $false )
| ( ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(409,plain,
! [SV40: $i > $o,SV77: $i,SV16: $i] :
( ( ( r4 @ SV16 @ SV77 )
= $false )
| ( ( ! [SY1092: $i] :
( ~ ( r3 @ SV77 @ SY1092 )
| ( SV40 @ SY1092 ) ) )
= $true )
| ( ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(410,plain,
! [SV16: $i,SV40: $i > $o,SV91: $i,SV60: $i] :
( ( ( ~ ( r3 @ SV60 @ SV91 )
| ( SV40 @ SV91 ) )
= $true )
| ( ( r4 @ SV16 @ SV60 )
= $false )
| ( ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(411,plain,
! [SV41: $i > $o,SV78: $i,SV17: $i] :
( ( ( r1 @ SV17 @ SV78 )
= $false )
| ( ( ! [SY1093: $i] :
( ~ ( r4 @ SV78 @ SY1093 )
| ( SV41 @ SY1093 ) ) )
= $true )
| ( ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(412,plain,
! [SV17: $i,SV41: $i > $o,SV92: $i,SV61: $i] :
( ( ( ~ ( r4 @ SV61 @ SV92 )
| ( SV41 @ SV92 ) )
= $true )
| ( ( r1 @ SV17 @ SV61 )
= $false )
| ( ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(413,plain,
! [SV42: $i > $o,SV79: $i,SV18: $i] :
( ( ( r2 @ SV18 @ SV79 )
= $false )
| ( ( ! [SY1094: $i] :
( ~ ( r4 @ SV79 @ SY1094 )
| ( SV42 @ SY1094 ) ) )
= $true )
| ( ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(414,plain,
! [SV18: $i,SV42: $i > $o,SV93: $i,SV62: $i] :
( ( ( ~ ( r4 @ SV62 @ SV93 )
| ( SV42 @ SV93 ) )
= $true )
| ( ( r2 @ SV18 @ SV62 )
= $false )
| ( ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(415,plain,
! [SV43: $i > $o,SV80: $i,SV19: $i] :
( ( ( r3 @ SV19 @ SV80 )
= $false )
| ( ( ! [SY1095: $i] :
( ~ ( r4 @ SV80 @ SY1095 )
| ( SV43 @ SY1095 ) ) )
= $true )
| ( ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(416,plain,
! [SV19: $i,SV43: $i > $o,SV94: $i,SV63: $i] :
( ( ( ~ ( r4 @ SV63 @ SV94 )
| ( SV43 @ SV94 ) )
= $true )
| ( ( r3 @ SV19 @ SV63 )
= $false )
| ( ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(417,plain,
! [SV44: $i > $o,SV81: $i,SV20: $i] :
( ( ( r4 @ SV20 @ SV81 )
= $false )
| ( ( ! [SY1096: $i] :
( ~ ( r4 @ SV81 @ SY1096 )
| ( SV44 @ SY1096 ) ) )
= $true )
| ( ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(418,plain,
! [SV20: $i,SV44: $i > $o,SV95: $i,SV64: $i] :
( ( ( ~ ( r4 @ SV64 @ SV95 )
| ( SV44 @ SV95 ) )
= $true )
| ( ( r4 @ SV20 @ SV64 )
= $false )
| ( ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(419,plain,
! [SV45: $i > $o,SV82: $i,SV21: $i] :
( ( ( r5 @ SV21 @ SV82 )
= $false )
| ( ( ! [SY1097: $i] :
( ~ ( r4 @ SV82 @ SY1097 )
| ( SV45 @ SY1097 ) ) )
= $true )
| ( ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(420,plain,
! [SV21: $i,SV45: $i > $o,SV96: $i,SV65: $i] :
( ( ( ~ ( r4 @ SV65 @ SV96 )
| ( SV45 @ SV96 ) )
= $true )
| ( ( r5 @ SV21 @ SV65 )
= $false )
| ( ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(421,plain,
! [SV46: $i > $o,SV83: $i,SV22: $i] :
( ( ( r4 @ SV22 @ SV83 )
= $false )
| ( ( ! [SY1098: $i] :
( ~ ( r5 @ SV83 @ SY1098 )
| ( SV46 @ SY1098 ) ) )
= $true )
| ( ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(422,plain,
! [SV22: $i,SV46: $i > $o,SV97: $i,SV66: $i] :
( ( ( ~ ( r5 @ SV66 @ SV97 )
| ( SV46 @ SV97 ) )
= $true )
| ( ( r4 @ SV22 @ SV66 )
= $false )
| ( ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(423,plain,
! [SV47: $i > $o,SV84: $i,SV23: $i] :
( ( ( r5 @ SV23 @ SV84 )
= $false )
| ( ( ! [SY1099: $i] :
( ~ ( r5 @ SV84 @ SY1099 )
| ( SV47 @ SY1099 ) ) )
= $true )
| ( ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(424,plain,
! [SV23: $i,SV47: $i > $o,SV98: $i,SV67: $i] :
( ( ( ~ ( r5 @ SV67 @ SV98 )
| ( SV47 @ SV98 ) )
= $true )
| ( ( r5 @ SV23 @ SV67 )
= $false )
| ( ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(425,plain,
! [SV50: $i,SV48: $i > $o,SV85: $i,SV24: $i] :
( ( ( ~ ( r4 @ SV24 @ SV85 ) )
= $true )
| ( ( ~ ! [SY1100: $i] :
( ~ ( r4 @ SV85 @ SY1100 )
| ( SV48 @ SY1100 ) ) )
= $true )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(426,plain,
! [SV30: $i > $o,SV6: $i] :
( ( ( r4 @ SV6 @ ( sK22_SY1023 @ SV30 @ SV6 ) )
= $true )
| ( ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[391]) ).
thf(427,plain,
! [SV6: $i,SV30: $i > $o] :
( ( ( SV30 @ ( sK22_SY1023 @ SV30 @ SV6 ) )
= $true )
| ( ( r4 @ SV6 @ ( sK3_SY1022 @ SV30 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(428,plain,
! [SV11: $i,SV35: $i > $o,SV99: $i,SV72: $i] :
( ( ( ~ ( r1 @ SV72 @ SV99 )
| ( SV35 @ SV99 ) )
= $true )
| ( ( r1 @ SV11 @ SV72 )
= $false )
| ( ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(429,plain,
! [SV11: $i,SV35: $i > $o,SV86: $i,SV55: $i] :
( ( ( ~ ( r1 @ SV55 @ SV86 ) )
= $true )
| ( ( SV35 @ SV86 )
= $true )
| ( ( r1 @ SV11 @ SV55 )
= $false )
| ( ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(430,plain,
! [SV12: $i,SV36: $i > $o,SV100: $i,SV73: $i] :
( ( ( ~ ( r1 @ SV73 @ SV100 )
| ( SV36 @ SV100 ) )
= $true )
| ( ( r4 @ SV12 @ SV73 )
= $false )
| ( ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(431,plain,
! [SV12: $i,SV36: $i > $o,SV87: $i,SV56: $i] :
( ( ( ~ ( r1 @ SV56 @ SV87 ) )
= $true )
| ( ( SV36 @ SV87 )
= $true )
| ( ( r4 @ SV12 @ SV56 )
= $false )
| ( ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(432,plain,
! [SV13: $i,SV37: $i > $o,SV101: $i,SV74: $i] :
( ( ( ~ ( r2 @ SV74 @ SV101 )
| ( SV37 @ SV101 ) )
= $true )
| ( ( r2 @ SV13 @ SV74 )
= $false )
| ( ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(433,plain,
! [SV13: $i,SV37: $i > $o,SV88: $i,SV57: $i] :
( ( ( ~ ( r2 @ SV57 @ SV88 ) )
= $true )
| ( ( SV37 @ SV88 )
= $true )
| ( ( r2 @ SV13 @ SV57 )
= $false )
| ( ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(434,plain,
! [SV14: $i,SV38: $i > $o,SV102: $i,SV75: $i] :
( ( ( ~ ( r2 @ SV75 @ SV102 )
| ( SV38 @ SV102 ) )
= $true )
| ( ( r4 @ SV14 @ SV75 )
= $false )
| ( ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(435,plain,
! [SV14: $i,SV38: $i > $o,SV89: $i,SV58: $i] :
( ( ( ~ ( r2 @ SV58 @ SV89 ) )
= $true )
| ( ( SV38 @ SV89 )
= $true )
| ( ( r4 @ SV14 @ SV58 )
= $false )
| ( ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(436,plain,
! [SV15: $i,SV39: $i > $o,SV103: $i,SV76: $i] :
( ( ( ~ ( r3 @ SV76 @ SV103 )
| ( SV39 @ SV103 ) )
= $true )
| ( ( r3 @ SV15 @ SV76 )
= $false )
| ( ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(437,plain,
! [SV15: $i,SV39: $i > $o,SV90: $i,SV59: $i] :
( ( ( ~ ( r3 @ SV59 @ SV90 ) )
= $true )
| ( ( SV39 @ SV90 )
= $true )
| ( ( r3 @ SV15 @ SV59 )
= $false )
| ( ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(438,plain,
! [SV16: $i,SV40: $i > $o,SV104: $i,SV77: $i] :
( ( ( ~ ( r3 @ SV77 @ SV104 )
| ( SV40 @ SV104 ) )
= $true )
| ( ( r4 @ SV16 @ SV77 )
= $false )
| ( ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(439,plain,
! [SV16: $i,SV40: $i > $o,SV91: $i,SV60: $i] :
( ( ( ~ ( r3 @ SV60 @ SV91 ) )
= $true )
| ( ( SV40 @ SV91 )
= $true )
| ( ( r4 @ SV16 @ SV60 )
= $false )
| ( ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(440,plain,
! [SV17: $i,SV41: $i > $o,SV105: $i,SV78: $i] :
( ( ( ~ ( r4 @ SV78 @ SV105 )
| ( SV41 @ SV105 ) )
= $true )
| ( ( r1 @ SV17 @ SV78 )
= $false )
| ( ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(441,plain,
! [SV17: $i,SV41: $i > $o,SV92: $i,SV61: $i] :
( ( ( ~ ( r4 @ SV61 @ SV92 ) )
= $true )
| ( ( SV41 @ SV92 )
= $true )
| ( ( r1 @ SV17 @ SV61 )
= $false )
| ( ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(442,plain,
! [SV18: $i,SV42: $i > $o,SV106: $i,SV79: $i] :
( ( ( ~ ( r4 @ SV79 @ SV106 )
| ( SV42 @ SV106 ) )
= $true )
| ( ( r2 @ SV18 @ SV79 )
= $false )
| ( ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(443,plain,
! [SV18: $i,SV42: $i > $o,SV93: $i,SV62: $i] :
( ( ( ~ ( r4 @ SV62 @ SV93 ) )
= $true )
| ( ( SV42 @ SV93 )
= $true )
| ( ( r2 @ SV18 @ SV62 )
= $false )
| ( ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(444,plain,
! [SV19: $i,SV43: $i > $o,SV107: $i,SV80: $i] :
( ( ( ~ ( r4 @ SV80 @ SV107 )
| ( SV43 @ SV107 ) )
= $true )
| ( ( r3 @ SV19 @ SV80 )
= $false )
| ( ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(445,plain,
! [SV19: $i,SV43: $i > $o,SV94: $i,SV63: $i] :
( ( ( ~ ( r4 @ SV63 @ SV94 ) )
= $true )
| ( ( SV43 @ SV94 )
= $true )
| ( ( r3 @ SV19 @ SV63 )
= $false )
| ( ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(446,plain,
! [SV20: $i,SV44: $i > $o,SV108: $i,SV81: $i] :
( ( ( ~ ( r4 @ SV81 @ SV108 )
| ( SV44 @ SV108 ) )
= $true )
| ( ( r4 @ SV20 @ SV81 )
= $false )
| ( ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(447,plain,
! [SV20: $i,SV44: $i > $o,SV95: $i,SV64: $i] :
( ( ( ~ ( r4 @ SV64 @ SV95 ) )
= $true )
| ( ( SV44 @ SV95 )
= $true )
| ( ( r4 @ SV20 @ SV64 )
= $false )
| ( ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[418]) ).
thf(448,plain,
! [SV21: $i,SV45: $i > $o,SV109: $i,SV82: $i] :
( ( ( ~ ( r4 @ SV82 @ SV109 )
| ( SV45 @ SV109 ) )
= $true )
| ( ( r5 @ SV21 @ SV82 )
= $false )
| ( ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(449,plain,
! [SV21: $i,SV45: $i > $o,SV96: $i,SV65: $i] :
( ( ( ~ ( r4 @ SV65 @ SV96 ) )
= $true )
| ( ( SV45 @ SV96 )
= $true )
| ( ( r5 @ SV21 @ SV65 )
= $false )
| ( ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(450,plain,
! [SV22: $i,SV46: $i > $o,SV110: $i,SV83: $i] :
( ( ( ~ ( r5 @ SV83 @ SV110 )
| ( SV46 @ SV110 ) )
= $true )
| ( ( r4 @ SV22 @ SV83 )
= $false )
| ( ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(451,plain,
! [SV22: $i,SV46: $i > $o,SV97: $i,SV66: $i] :
( ( ( ~ ( r5 @ SV66 @ SV97 ) )
= $true )
| ( ( SV46 @ SV97 )
= $true )
| ( ( r4 @ SV22 @ SV66 )
= $false )
| ( ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(452,plain,
! [SV23: $i,SV47: $i > $o,SV111: $i,SV84: $i] :
( ( ( ~ ( r5 @ SV84 @ SV111 )
| ( SV47 @ SV111 ) )
= $true )
| ( ( r5 @ SV23 @ SV84 )
= $false )
| ( ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(453,plain,
! [SV23: $i,SV47: $i > $o,SV98: $i,SV67: $i] :
( ( ( ~ ( r5 @ SV67 @ SV98 ) )
= $true )
| ( ( SV47 @ SV98 )
= $true )
| ( ( r5 @ SV23 @ SV67 )
= $false )
| ( ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(454,plain,
! [SV50: $i,SV48: $i > $o,SV85: $i,SV24: $i] :
( ( ( r4 @ SV24 @ SV85 )
= $false )
| ( ( ~ ! [SY1100: $i] :
( ~ ( r4 @ SV85 @ SY1100 )
| ( SV48 @ SY1100 ) ) )
= $true )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(455,plain,
! [SV11: $i,SV35: $i > $o,SV99: $i,SV72: $i] :
( ( ( ~ ( r1 @ SV72 @ SV99 ) )
= $true )
| ( ( SV35 @ SV99 )
= $true )
| ( ( r1 @ SV11 @ SV72 )
= $false )
| ( ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(456,plain,
! [SV11: $i,SV35: $i > $o,SV86: $i,SV55: $i] :
( ( ( r1 @ SV55 @ SV86 )
= $false )
| ( ( SV35 @ SV86 )
= $true )
| ( ( r1 @ SV11 @ SV55 )
= $false )
| ( ( SV35 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(457,plain,
! [SV12: $i,SV36: $i > $o,SV100: $i,SV73: $i] :
( ( ( ~ ( r1 @ SV73 @ SV100 ) )
= $true )
| ( ( SV36 @ SV100 )
= $true )
| ( ( r4 @ SV12 @ SV73 )
= $false )
| ( ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(458,plain,
! [SV12: $i,SV36: $i > $o,SV87: $i,SV56: $i] :
( ( ( r1 @ SV56 @ SV87 )
= $false )
| ( ( SV36 @ SV87 )
= $true )
| ( ( r4 @ SV12 @ SV56 )
= $false )
| ( ( SV36 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(459,plain,
! [SV13: $i,SV37: $i > $o,SV101: $i,SV74: $i] :
( ( ( ~ ( r2 @ SV74 @ SV101 ) )
= $true )
| ( ( SV37 @ SV101 )
= $true )
| ( ( r2 @ SV13 @ SV74 )
= $false )
| ( ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(460,plain,
! [SV13: $i,SV37: $i > $o,SV88: $i,SV57: $i] :
( ( ( r2 @ SV57 @ SV88 )
= $false )
| ( ( SV37 @ SV88 )
= $true )
| ( ( r2 @ SV13 @ SV57 )
= $false )
| ( ( SV37 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(461,plain,
! [SV14: $i,SV38: $i > $o,SV102: $i,SV75: $i] :
( ( ( ~ ( r2 @ SV75 @ SV102 ) )
= $true )
| ( ( SV38 @ SV102 )
= $true )
| ( ( r4 @ SV14 @ SV75 )
= $false )
| ( ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(462,plain,
! [SV14: $i,SV38: $i > $o,SV89: $i,SV58: $i] :
( ( ( r2 @ SV58 @ SV89 )
= $false )
| ( ( SV38 @ SV89 )
= $true )
| ( ( r4 @ SV14 @ SV58 )
= $false )
| ( ( SV38 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(463,plain,
! [SV15: $i,SV39: $i > $o,SV103: $i,SV76: $i] :
( ( ( ~ ( r3 @ SV76 @ SV103 ) )
= $true )
| ( ( SV39 @ SV103 )
= $true )
| ( ( r3 @ SV15 @ SV76 )
= $false )
| ( ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(464,plain,
! [SV15: $i,SV39: $i > $o,SV90: $i,SV59: $i] :
( ( ( r3 @ SV59 @ SV90 )
= $false )
| ( ( SV39 @ SV90 )
= $true )
| ( ( r3 @ SV15 @ SV59 )
= $false )
| ( ( SV39 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(465,plain,
! [SV16: $i,SV40: $i > $o,SV104: $i,SV77: $i] :
( ( ( ~ ( r3 @ SV77 @ SV104 ) )
= $true )
| ( ( SV40 @ SV104 )
= $true )
| ( ( r4 @ SV16 @ SV77 )
= $false )
| ( ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(466,plain,
! [SV16: $i,SV40: $i > $o,SV91: $i,SV60: $i] :
( ( ( r3 @ SV60 @ SV91 )
= $false )
| ( ( SV40 @ SV91 )
= $true )
| ( ( r4 @ SV16 @ SV60 )
= $false )
| ( ( SV40 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(467,plain,
! [SV17: $i,SV41: $i > $o,SV105: $i,SV78: $i] :
( ( ( ~ ( r4 @ SV78 @ SV105 ) )
= $true )
| ( ( SV41 @ SV105 )
= $true )
| ( ( r1 @ SV17 @ SV78 )
= $false )
| ( ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(468,plain,
! [SV17: $i,SV41: $i > $o,SV92: $i,SV61: $i] :
( ( ( r4 @ SV61 @ SV92 )
= $false )
| ( ( SV41 @ SV92 )
= $true )
| ( ( r1 @ SV17 @ SV61 )
= $false )
| ( ( SV41 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(469,plain,
! [SV18: $i,SV42: $i > $o,SV106: $i,SV79: $i] :
( ( ( ~ ( r4 @ SV79 @ SV106 ) )
= $true )
| ( ( SV42 @ SV106 )
= $true )
| ( ( r2 @ SV18 @ SV79 )
= $false )
| ( ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(470,plain,
! [SV18: $i,SV42: $i > $o,SV93: $i,SV62: $i] :
( ( ( r4 @ SV62 @ SV93 )
= $false )
| ( ( SV42 @ SV93 )
= $true )
| ( ( r2 @ SV18 @ SV62 )
= $false )
| ( ( SV42 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(471,plain,
! [SV19: $i,SV43: $i > $o,SV107: $i,SV80: $i] :
( ( ( ~ ( r4 @ SV80 @ SV107 ) )
= $true )
| ( ( SV43 @ SV107 )
= $true )
| ( ( r3 @ SV19 @ SV80 )
= $false )
| ( ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(472,plain,
! [SV19: $i,SV43: $i > $o,SV94: $i,SV63: $i] :
( ( ( r4 @ SV63 @ SV94 )
= $false )
| ( ( SV43 @ SV94 )
= $true )
| ( ( r3 @ SV19 @ SV63 )
= $false )
| ( ( SV43 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(473,plain,
! [SV20: $i,SV44: $i > $o,SV108: $i,SV81: $i] :
( ( ( ~ ( r4 @ SV81 @ SV108 ) )
= $true )
| ( ( SV44 @ SV108 )
= $true )
| ( ( r4 @ SV20 @ SV81 )
= $false )
| ( ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(474,plain,
! [SV20: $i,SV44: $i > $o,SV95: $i,SV64: $i] :
( ( ( r4 @ SV64 @ SV95 )
= $false )
| ( ( SV44 @ SV95 )
= $true )
| ( ( r4 @ SV20 @ SV64 )
= $false )
| ( ( SV44 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(475,plain,
! [SV21: $i,SV45: $i > $o,SV109: $i,SV82: $i] :
( ( ( ~ ( r4 @ SV82 @ SV109 ) )
= $true )
| ( ( SV45 @ SV109 )
= $true )
| ( ( r5 @ SV21 @ SV82 )
= $false )
| ( ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[448]) ).
thf(476,plain,
! [SV21: $i,SV45: $i > $o,SV96: $i,SV65: $i] :
( ( ( r4 @ SV65 @ SV96 )
= $false )
| ( ( SV45 @ SV96 )
= $true )
| ( ( r5 @ SV21 @ SV65 )
= $false )
| ( ( SV45 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(477,plain,
! [SV22: $i,SV46: $i > $o,SV110: $i,SV83: $i] :
( ( ( ~ ( r5 @ SV83 @ SV110 ) )
= $true )
| ( ( SV46 @ SV110 )
= $true )
| ( ( r4 @ SV22 @ SV83 )
= $false )
| ( ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(478,plain,
! [SV22: $i,SV46: $i > $o,SV97: $i,SV66: $i] :
( ( ( r5 @ SV66 @ SV97 )
= $false )
| ( ( SV46 @ SV97 )
= $true )
| ( ( r4 @ SV22 @ SV66 )
= $false )
| ( ( SV46 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(479,plain,
! [SV23: $i,SV47: $i > $o,SV111: $i,SV84: $i] :
( ( ( ~ ( r5 @ SV84 @ SV111 ) )
= $true )
| ( ( SV47 @ SV111 )
= $true )
| ( ( r5 @ SV23 @ SV84 )
= $false )
| ( ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(480,plain,
! [SV23: $i,SV47: $i > $o,SV98: $i,SV67: $i] :
( ( ( r5 @ SV67 @ SV98 )
= $false )
| ( ( SV47 @ SV98 )
= $true )
| ( ( r5 @ SV23 @ SV67 )
= $false )
| ( ( SV47 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(481,plain,
! [SV50: $i,SV24: $i,SV48: $i > $o,SV85: $i] :
( ( ( ! [SY1100: $i] :
( ~ ( r4 @ SV85 @ SY1100 )
| ( SV48 @ SY1100 ) ) )
= $false )
| ( ( r4 @ SV24 @ SV85 )
= $false )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(482,plain,
! [SV11: $i,SV35: $i > $o,SV99: $i,SV72: $i] :
( ( ( r1 @ SV72 @ SV99 )
= $false )
| ( ( SV35 @ SV99 )
= $true )
| ( ( r1 @ SV11 @ SV72 )
= $false )
| ( ( r1 @ SV11 @ ( sK8_SY1032 @ SV35 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(483,plain,
! [SV12: $i,SV36: $i > $o,SV100: $i,SV73: $i] :
( ( ( r1 @ SV73 @ SV100 )
= $false )
| ( ( SV36 @ SV100 )
= $true )
| ( ( r4 @ SV12 @ SV73 )
= $false )
| ( ( r1 @ SV12 @ ( sK9_SY1035 @ SV36 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(484,plain,
! [SV13: $i,SV37: $i > $o,SV101: $i,SV74: $i] :
( ( ( r2 @ SV74 @ SV101 )
= $false )
| ( ( SV37 @ SV101 )
= $true )
| ( ( r2 @ SV13 @ SV74 )
= $false )
| ( ( r2 @ SV13 @ ( sK10_SY1038 @ SV37 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(485,plain,
! [SV14: $i,SV38: $i > $o,SV102: $i,SV75: $i] :
( ( ( r2 @ SV75 @ SV102 )
= $false )
| ( ( SV38 @ SV102 )
= $true )
| ( ( r4 @ SV14 @ SV75 )
= $false )
| ( ( r2 @ SV14 @ ( sK11_SY1041 @ SV38 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(486,plain,
! [SV15: $i,SV39: $i > $o,SV103: $i,SV76: $i] :
( ( ( r3 @ SV76 @ SV103 )
= $false )
| ( ( SV39 @ SV103 )
= $true )
| ( ( r3 @ SV15 @ SV76 )
= $false )
| ( ( r3 @ SV15 @ ( sK12_SY1044 @ SV39 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(487,plain,
! [SV16: $i,SV40: $i > $o,SV104: $i,SV77: $i] :
( ( ( r3 @ SV77 @ SV104 )
= $false )
| ( ( SV40 @ SV104 )
= $true )
| ( ( r4 @ SV16 @ SV77 )
= $false )
| ( ( r3 @ SV16 @ ( sK13_SY1047 @ SV40 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(488,plain,
! [SV17: $i,SV41: $i > $o,SV105: $i,SV78: $i] :
( ( ( r4 @ SV78 @ SV105 )
= $false )
| ( ( SV41 @ SV105 )
= $true )
| ( ( r1 @ SV17 @ SV78 )
= $false )
| ( ( r4 @ SV17 @ ( sK14_SY1050 @ SV41 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(489,plain,
! [SV18: $i,SV42: $i > $o,SV106: $i,SV79: $i] :
( ( ( r4 @ SV79 @ SV106 )
= $false )
| ( ( SV42 @ SV106 )
= $true )
| ( ( r2 @ SV18 @ SV79 )
= $false )
| ( ( r4 @ SV18 @ ( sK15_SY1053 @ SV42 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(490,plain,
! [SV19: $i,SV43: $i > $o,SV107: $i,SV80: $i] :
( ( ( r4 @ SV80 @ SV107 )
= $false )
| ( ( SV43 @ SV107 )
= $true )
| ( ( r3 @ SV19 @ SV80 )
= $false )
| ( ( r4 @ SV19 @ ( sK16_SY1056 @ SV43 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(491,plain,
! [SV20: $i,SV44: $i > $o,SV108: $i,SV81: $i] :
( ( ( r4 @ SV81 @ SV108 )
= $false )
| ( ( SV44 @ SV108 )
= $true )
| ( ( r4 @ SV20 @ SV81 )
= $false )
| ( ( r4 @ SV20 @ ( sK17_SY1059 @ SV44 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(492,plain,
! [SV21: $i,SV45: $i > $o,SV109: $i,SV82: $i] :
( ( ( r4 @ SV82 @ SV109 )
= $false )
| ( ( SV45 @ SV109 )
= $true )
| ( ( r5 @ SV21 @ SV82 )
= $false )
| ( ( r4 @ SV21 @ ( sK18_SY1062 @ SV45 @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(493,plain,
! [SV22: $i,SV46: $i > $o,SV110: $i,SV83: $i] :
( ( ( r5 @ SV83 @ SV110 )
= $false )
| ( ( SV46 @ SV110 )
= $true )
| ( ( r4 @ SV22 @ SV83 )
= $false )
| ( ( r5 @ SV22 @ ( sK19_SY1065 @ SV46 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(494,plain,
! [SV23: $i,SV47: $i > $o,SV111: $i,SV84: $i] :
( ( ( r5 @ SV84 @ SV111 )
= $false )
| ( ( SV47 @ SV111 )
= $true )
| ( ( r5 @ SV23 @ SV84 )
= $false )
| ( ( r5 @ SV23 @ ( sK20_SY1068 @ SV47 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(495,plain,
! [SV48: $i > $o,SV24: $i,SV50: $i,SV85: $i] :
( ( ( ~ ( r4 @ SV85 @ ( sK23_SY1100 @ SV50 @ SV24 @ SV48 @ SV85 ) )
| ( SV48 @ ( sK23_SY1100 @ SV50 @ SV24 @ SV48 @ SV85 ) ) )
= $false )
| ( ( r4 @ SV24 @ SV85 )
= $false )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[481]) ).
thf(496,plain,
! [SV48: $i > $o,SV24: $i,SV50: $i,SV85: $i] :
( ( ( ~ ( r4 @ SV85 @ ( sK23_SY1100 @ SV50 @ SV24 @ SV48 @ SV85 ) ) )
= $false )
| ( ( r4 @ SV24 @ SV85 )
= $false )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(497,plain,
! [SV85: $i,SV24: $i,SV50: $i,SV48: $i > $o] :
( ( ( SV48 @ ( sK23_SY1100 @ SV50 @ SV24 @ SV48 @ SV85 ) )
= $false )
| ( ( r4 @ SV24 @ SV85 )
= $false )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(498,plain,
! [SV48: $i > $o,SV24: $i,SV50: $i,SV85: $i] :
( ( ( r4 @ SV85 @ ( sK23_SY1100 @ SV50 @ SV24 @ SV48 @ SV85 ) )
= $true )
| ( ( r4 @ SV24 @ SV85 )
= $false )
| ( ( SV48 @ SV50 )
= $true )
| ( ( r4 @ SV24 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[496]) ).
thf(499,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[122,498,497,494,493,492,491,490,489,488,487,486,485,484,483,482,480,478,476,474,472,470,468,466,464,462,460,458,456,427,426,398,397,396,395,394,393,363,361,359,357,278,239,218,197,196,195]) ).
thf(500,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT028^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n004.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 17:59:45 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.10/0.41
% 1.10/0.41 No.of.Axioms: 24
% 1.10/0.41
% 1.10/0.41 Length.of.Defs: 5324
% 1.10/0.41
% 1.10/0.41 Contains.Choice.Funs: false
% 1.10/0.41 ....................
% 1.10/0.41
% 1.10/0.41 ********************************
% 1.10/0.41 * All subproblems solved! *
% 1.10/0.41 ********************************
% 1.10/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,ps:0,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:499,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.10/0.41
% 1.10/0.41 %**** Beginning of derivation protocol ****
% 1.10/0.41 % SZS output start CNFRefutation
% See solution above
% 1.10/0.41
% 1.10/0.41 %**** End of derivation protocol ****
% 1.10/0.41 %**** no. of clauses in derivation: 458 ****
% 1.10/0.41 %**** clause counter: 499 ****
% 1.10/0.41
% 1.10/0.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:24,ps:0,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:499,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------