%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ087^2 : 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 : n005.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 10:36:55 AM UTC 2026
% Result : Theorem 19.84s 3.51s
% Output : CNFRefutation 19.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 67
% Syntax : Number of formulae : 648 ( 245 unt; 0 typ; 32 def)
% Number of atoms : 5025 (1313 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 9134 (1618 ~;1699 |; 55 &;5753 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 435 ( 435 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 62 usr; 7 con; 0-3 aty)
% Number of variables : 2033 ( 67 ^;1960 !; 6 ?;2033 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_mu,type,
mu: $tType ).
thf(tp_a,type,
a: $i > $i > $o ).
thf(tp_b,type,
b: $i > $i > $o ).
thf(tp_c,type,
c: $i > $i > $o ).
thf(tp_fool,type,
fool: $i > $i > $o ).
thf(tp_irreflexive,type,
irreflexive: ( $i > $i > $o ) > $o ).
thf(tp_mand,type,
mand: ( $i > $o ) > ( $i > $o ) > $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_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_priorG,type,
priorG: $i > $i > $o ).
thf(tp_sK10_SY225,type,
sK10_SY225: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK11_SY277,type,
sK11_SY277: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK12_SY329,type,
sK12_SY329: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK13_SY381,type,
sK13_SY381: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK14_SY435,type,
sK14_SY435: ( $i > $o ) > $i > $i ).
thf(tp_sK15_SY483,type,
sK15_SY483: ( $i > $o ) > $i > $i ).
thf(tp_sK16_SY531,type,
sK16_SY531: ( $i > $o ) > $i > $i ).
thf(tp_sK17_SY579,type,
sK17_SY579: ( $i > $o ) > $i > $i ).
thf(tp_sK18_SY627,type,
sK18_SY627: ( $i > $o ) > $i > $i ).
thf(tp_sK19_SY675,type,
sK19_SY675: ( $i > $o ) > $i > $i ).
thf(tp_sK1_SY26,type,
sK1_SY26: $i ).
thf(tp_sK20_SY714,type,
sK20_SY714: ( $i > $o ) > $i > $i ).
thf(tp_sK21_SY751,type,
sK21_SY751: ( $i > $o ) > $i > $i ).
thf(tp_sK22_SY788,type,
sK22_SY788: ( $i > $o ) > $i > $i ).
thf(tp_sK23_SY834,type,
sK23_SY834: ( $i > $o ) > $i > $i ).
thf(tp_sK24_SY865,type,
sK24_SY865: ( $i > $o ) > $i > $i ).
thf(tp_sK2_SY1192,type,
sK2_SY1192: $i ).
thf(tp_sK3_SY1196,type,
sK3_SY1196: $i ).
thf(tp_sK4_SY1199,type,
sK4_SY1199: $i ).
thf(tp_sK5_SY1201,type,
sK5_SY1201: $i ).
thf(tp_sK6_SY51,type,
sK6_SY51: $i > $i > $i > $i ).
thf(tp_sK7_SY76,type,
sK7_SY76: $i > $i > $i ).
thf(tp_sK8_SY121,type,
sK8_SY121: $i > ( $i > $o ) > $i > $i ).
thf(tp_sK9_SY173,type,
sK9_SY173: $i > ( $i > $o ) > $i > $i ).
thf(tp_ws,type,
ws: ( $i > $i > $o ) > $i > $o ).
thf(irreflexive,definition,
( irreflexive
= ( ^ [R: $i > $i > $o] :
! [X: $i] :
~ ( R @ X @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexive_def) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand) ).
thf(mbox,definition,
( mbox
= ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
! [V: $i] :
( ~ ( R @ W @ V )
| ( Phi @ V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_ind) ).
thf(meq_prop,definition,
( meq_prop
= ( ^ [X: $i > $o,Y: $i > $o,W: $i] :
( ( X @ W )
= ( Y @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meq_prop) ).
thf(mequiv,definition,
( mequiv
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mand @ ( mimplies @ Phi @ Psi ) @ ( mimplies @ Psi @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv) ).
thf(meuclidean,definition,
( meuclidean
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( R @ T @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meuclidean) ).
thf(mexists_ind,definition,
( mexists_ind
= ( ^ [Phi: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X: mu] : ( mnot @ ( Phi @ X ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_ind) ).
thf(mexists_prop,definition,
( mexists_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [P: $i > $o] : ( mnot @ ( Phi @ P ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_ind) ).
thf(mforall_prop,definition,
( mforall_prop
= ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
! [P: $i > $o] : ( Phi @ P @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop) ).
thf(mfunctional,definition,
( mfunctional
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] :
( ( R @ S @ T )
& ! [U: $i] :
( ( R @ S @ U )
=> ( T = U ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor) ).
thf(mpartially_functional,definition,
( mpartially_functional
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( T = U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mserial) ).
thf(msymmetric,definition,
( msymmetric
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i] :
( ( R @ S @ T )
=> ( R @ T @ S ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric) ).
thf(mtransitive,definition,
( mtransitive
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ T @ U ) )
=> ( R @ S @ U ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid) ).
thf(mweakly_connected,definition,
( mweakly_connected
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ( ( R @ T @ U )
| ( T = U )
| ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_connected) ).
thf(mweakly_dense,definition,
( mweakly_dense
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( R @ S @ T )
=> ? [U: $i] :
( ( R @ S @ U )
& ( R @ U @ T ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_dense) ).
thf(mweakly_directed,definition,
( mweakly_directed
= ( ^ [R: $i > $i > $o] :
! [S: $i,T: $i,U: $i] :
( ( ( R @ S @ T )
& ( R @ S @ U ) )
=> ? [V: $i] :
( ( R @ T @ V )
& ( R @ U @ V ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxor) ).
thf(1,axiom,
mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(2,axiom,
mvalid @ ( mbox @ priorG @ ( mnot @ ( mbox @ a @ ( ws @ a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
thf(3,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ c @ Phi ) ) @ ( mbox @ b @ ( mnot @ ( mbox @ c @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_axiom_for_fool_c_b) ).
thf(4,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ c @ Phi ) ) @ ( mbox @ a @ ( mnot @ ( mbox @ c @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_axiom_for_fool_c_a) ).
thf(5,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ b @ Phi ) ) @ ( mbox @ c @ ( mnot @ ( mbox @ b @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_axiom_for_fool_b_c) ).
thf(6,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ b @ Phi ) ) @ ( mbox @ a @ ( mnot @ ( mbox @ b @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_axiom_for_fool_b_a) ).
thf(7,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a @ Phi ) ) @ ( mbox @ c @ ( mnot @ ( mbox @ a @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_axiom_for_fool_a_c) ).
thf(8,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a @ Phi ) ) @ ( mbox @ b @ ( mnot @ ( mbox @ a @ Phi ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_axiom_for_fool_a_b) ).
thf(9,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ c @ Phi ) @ ( mbox @ b @ ( mbox @ c @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_axiom_for_fool_c_b) ).
thf(10,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ c @ Phi ) @ ( mbox @ a @ ( mbox @ c @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_axiom_for_fool_c_a) ).
thf(11,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ b @ Phi ) @ ( mbox @ c @ ( mbox @ b @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_axiom_for_fool_b_c) ).
thf(12,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ b @ Phi ) @ ( mbox @ a @ ( mbox @ b @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_axiom_for_fool_b_a) ).
thf(13,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ a @ Phi ) @ ( mbox @ c @ ( mbox @ a @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_axiom_for_fool_a_c) ).
thf(14,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ a @ Phi ) @ ( mbox @ b @ ( mbox @ a @ Phi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a7_axiom_for_fool_a_b) ).
thf(15,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ c @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_axiom_for_fool_c) ).
thf(16,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ b @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_axiom_for_fool_b) ).
thf(17,axiom,
( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ a @ Phi ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_axiom_for_fool_a) ).
thf(18,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ ( mbox @ fool @ ( mbox @ fool @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_axiom_for_fool) ).
thf(19,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_axiom_for_fool) ).
thf(20,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ b @ ( mnot @ ( ws @ c ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_c_b) ).
thf(21,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ a @ ( mnot @ ( ws @ c ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_c_a) ).
thf(22,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ b ) ) @ ( mbox @ c @ ( mnot @ ( ws @ b ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_b_c) ).
thf(23,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ b ) ) @ ( mbox @ a @ ( mnot @ ( ws @ b ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_b_a) ).
thf(24,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ c @ ( mnot @ ( ws @ a ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_a_c) ).
thf(25,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ b @ ( mnot @ ( ws @ a ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3_a_b) ).
thf(26,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ b @ ( ws @ c ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_c_b) ).
thf(27,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ a @ ( ws @ c ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_c_a) ).
thf(28,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ c @ ( ws @ b ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_b_c) ).
thf(29,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ a @ ( ws @ b ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_b_a) ).
thf(30,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ c @ ( ws @ a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_a_c) ).
thf(31,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ b @ ( ws @ a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2_a_b) ).
thf(32,axiom,
mvalid @ ( mbox @ fool @ ( mor @ ( ws @ a ) @ ( mor @ ( ws @ b ) @ ( ws @ c ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(33,axiom,
mtransitive @ priorG,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_priorG_transitive) ).
thf(34,axiom,
irreflexive @ priorG,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_priorG_irreflexive) ).
thf(35,conjecture,
mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ c @ ( ws @ c ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(36,negated_conjecture,
( ( mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ c @ ( ws @ c ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[35]) ).
thf(37,plain,
( ( ! [SY26: $i,SY27: $i] :
( ~ ( priorG @ SY26 @ SY27 )
| ! [SY23: $i] :
( ~ ( priorG @ SY27 @ SY23 )
| ! [SY19: $i] :
( ~ ( priorG @ SY23 @ SY19 )
| ! [SY16: $i] :
( ~ ( c @ SY19 @ SY16 )
| ( ws @ c @ SY16 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[36,irreflexive,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(38,plain,
( ( ! [SY56: $i,SY57: $i] :
( ~ ( priorG @ SY56 @ SY57 )
| ! [SY54: $i] :
( ~ ( priorG @ SY57 @ SY54 )
| ~ ! [SY51: $i] :
( ~ ( b @ SY54 @ SY51 )
| ( ws @ b @ SY51 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1,irreflexive,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(39,plain,
( ( ! [SY77: $i,SY78: $i] :
( ~ ( priorG @ SY77 @ SY78 )
| ~ ! [SY76: $i] :
( ~ ( a @ SY78 @ SY76 )
| ( ws @ a @ SY76 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2,irreflexive,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(40,plain,
( ( ! [SY125: $i,SY126: $i > $o] :
( ~ ~ ! [SY127: $i] :
( ~ ( c @ SY125 @ SY127 )
| ( SY126 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( b @ SY125 @ SY128 )
| ~ ! [SY121: $i] :
( ~ ( c @ SY128 @ SY121 )
| ( SY126 @ SY121 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3,irreflexive,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(41,plain,
( ( ! [SY177: $i,SY178: $i > $o] :
( ~ ~ ! [SY179: $i] :
( ~ ( c @ SY177 @ SY179 )
| ( SY178 @ SY179 ) )
| ! [SY180: $i] :
( ~ ( a @ SY177 @ SY180 )
| ~ ! [SY173: $i] :
( ~ ( c @ SY180 @ SY173 )
| ( SY178 @ SY173 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4,irreflexive,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(42,plain,
( ( ! [SY229: $i,SY230: $i > $o] :
( ~ ~ ! [SY231: $i] :
( ~ ( b @ SY229 @ SY231 )
| ( SY230 @ SY231 ) )
| ! [SY232: $i] :
( ~ ( c @ SY229 @ SY232 )
| ~ ! [SY225: $i] :
( ~ ( b @ SY232 @ SY225 )
| ( SY230 @ SY225 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5,irreflexive,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(43,plain,
( ( ! [SY281: $i,SY282: $i > $o] :
( ~ ~ ! [SY283: $i] :
( ~ ( b @ SY281 @ SY283 )
| ( SY282 @ SY283 ) )
| ! [SY284: $i] :
( ~ ( a @ SY281 @ SY284 )
| ~ ! [SY277: $i] :
( ~ ( b @ SY284 @ SY277 )
| ( SY282 @ SY277 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6,irreflexive,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(44,plain,
( ( ! [SY333: $i,SY334: $i > $o] :
( ~ ~ ! [SY335: $i] :
( ~ ( a @ SY333 @ SY335 )
| ( SY334 @ SY335 ) )
| ! [SY336: $i] :
( ~ ( c @ SY333 @ SY336 )
| ~ ! [SY329: $i] :
( ~ ( a @ SY336 @ SY329 )
| ( SY334 @ SY329 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7,irreflexive,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(45,plain,
( ( ! [SY385: $i,SY386: $i > $o] :
( ~ ~ ! [SY387: $i] :
( ~ ( a @ SY385 @ SY387 )
| ( SY386 @ SY387 ) )
| ! [SY388: $i] :
( ~ ( b @ SY385 @ SY388 )
| ~ ! [SY381: $i] :
( ~ ( a @ SY388 @ SY381 )
| ( SY386 @ SY381 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8,irreflexive,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(46,plain,
( ( ! [SY433: $i,SY434: $i > $o] :
( ~ ! [SY435: $i] :
( ~ ( c @ SY433 @ SY435 )
| ( SY434 @ SY435 ) )
| ! [SY436: $i] :
( ~ ( b @ SY433 @ SY436 )
| ! [SY429: $i] :
( ~ ( c @ SY436 @ SY429 )
| ( SY434 @ SY429 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9,irreflexive,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(47,plain,
( ( ! [SY481: $i,SY482: $i > $o] :
( ~ ! [SY483: $i] :
( ~ ( c @ SY481 @ SY483 )
| ( SY482 @ SY483 ) )
| ! [SY484: $i] :
( ~ ( a @ SY481 @ SY484 )
| ! [SY477: $i] :
( ~ ( c @ SY484 @ SY477 )
| ( SY482 @ SY477 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10,irreflexive,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(48,plain,
( ( ! [SY529: $i,SY530: $i > $o] :
( ~ ! [SY531: $i] :
( ~ ( b @ SY529 @ SY531 )
| ( SY530 @ SY531 ) )
| ! [SY532: $i] :
( ~ ( c @ SY529 @ SY532 )
| ! [SY525: $i] :
( ~ ( b @ SY532 @ SY525 )
| ( SY530 @ SY525 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11,irreflexive,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(49,plain,
( ( ! [SY577: $i,SY578: $i > $o] :
( ~ ! [SY579: $i] :
( ~ ( b @ SY577 @ SY579 )
| ( SY578 @ SY579 ) )
| ! [SY580: $i] :
( ~ ( a @ SY577 @ SY580 )
| ! [SY573: $i] :
( ~ ( b @ SY580 @ SY573 )
| ( SY578 @ SY573 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,irreflexive,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(50,plain,
( ( ! [SY625: $i,SY626: $i > $o] :
( ~ ! [SY627: $i] :
( ~ ( a @ SY625 @ SY627 )
| ( SY626 @ SY627 ) )
| ! [SY628: $i] :
( ~ ( c @ SY625 @ SY628 )
| ! [SY621: $i] :
( ~ ( a @ SY628 @ SY621 )
| ( SY626 @ SY621 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,irreflexive,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(51,plain,
( ( ! [SY673: $i,SY674: $i > $o] :
( ~ ! [SY675: $i] :
( ~ ( a @ SY673 @ SY675 )
| ( SY674 @ SY675 ) )
| ! [SY676: $i] :
( ~ ( b @ SY673 @ SY676 )
| ! [SY669: $i] :
( ~ ( a @ SY676 @ SY669 )
| ( SY674 @ SY669 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14,irreflexive,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(52,plain,
( ( ! [SY712: $i,SY713: $i > $o] :
( ~ ! [SY714: $i] :
( ~ ( fool @ SY712 @ SY714 )
| ( SY713 @ SY714 ) )
| ! [SY715: $i] :
( ~ ( c @ SY712 @ SY715 )
| ( SY713 @ SY715 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15,irreflexive,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(53,plain,
( ( ! [SY749: $i,SY750: $i > $o] :
( ~ ! [SY751: $i] :
( ~ ( fool @ SY749 @ SY751 )
| ( SY750 @ SY751 ) )
| ! [SY752: $i] :
( ~ ( b @ SY749 @ SY752 )
| ( SY750 @ SY752 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16,irreflexive,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(54,plain,
( ( ! [SY786: $i,SY787: $i > $o] :
( ~ ! [SY788: $i] :
( ~ ( fool @ SY786 @ SY788 )
| ( SY787 @ SY788 ) )
| ! [SY789: $i] :
( ~ ( a @ SY786 @ SY789 )
| ( SY787 @ SY789 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17,irreflexive,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(55,plain,
( ( ! [SY832: $i,SY833: $i > $o] :
( ~ ! [SY834: $i] :
( ~ ( fool @ SY832 @ SY834 )
| ( SY833 @ SY834 ) )
| ! [SY835: $i] :
( ~ ( fool @ SY832 @ SY835 )
| ! [SY828: $i] :
( ~ ( fool @ SY835 @ SY828 )
| ( SY833 @ SY828 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18,irreflexive,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(56,plain,
( ( ! [SY863: $i,SY864: $i > $o] :
( ~ ! [SY865: $i] :
( ~ ( fool @ SY863 @ SY865 )
| ( SY864 @ SY865 ) )
| ( SY864 @ SY863 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19,irreflexive,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(57,plain,
( ( ! [SY889: $i,SY890: $i] :
( ~ ( fool @ SY889 @ SY890 )
| ~ ~ ( ws @ c @ SY890 )
| ! [SY888: $i] :
( ~ ( b @ SY890 @ SY888 )
| ~ ( ws @ c @ SY888 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20,irreflexive,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(58,plain,
( ( ! [SY915: $i,SY916: $i] :
( ~ ( fool @ SY915 @ SY916 )
| ~ ~ ( ws @ c @ SY916 )
| ! [SY914: $i] :
( ~ ( a @ SY916 @ SY914 )
| ~ ( ws @ c @ SY914 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21,irreflexive,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(59,plain,
( ( ! [SY941: $i,SY942: $i] :
( ~ ( fool @ SY941 @ SY942 )
| ~ ~ ( ws @ b @ SY942 )
| ! [SY940: $i] :
( ~ ( c @ SY942 @ SY940 )
| ~ ( ws @ b @ SY940 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22,irreflexive,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(60,plain,
( ( ! [SY967: $i,SY968: $i] :
( ~ ( fool @ SY967 @ SY968 )
| ~ ~ ( ws @ b @ SY968 )
| ! [SY966: $i] :
( ~ ( a @ SY968 @ SY966 )
| ~ ( ws @ b @ SY966 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23,irreflexive,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(61,plain,
( ( ! [SY993: $i,SY994: $i] :
( ~ ( fool @ SY993 @ SY994 )
| ~ ~ ( ws @ a @ SY994 )
| ! [SY992: $i] :
( ~ ( c @ SY994 @ SY992 )
| ~ ( ws @ a @ SY992 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24,irreflexive,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(62,plain,
( ( ! [SY1019: $i,SY1020: $i] :
( ~ ( fool @ SY1019 @ SY1020 )
| ~ ~ ( ws @ a @ SY1020 )
| ! [SY1018: $i] :
( ~ ( b @ SY1020 @ SY1018 )
| ~ ( ws @ a @ SY1018 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25,irreflexive,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(63,plain,
( ( ! [SY1043: $i,SY1044: $i] :
( ~ ( fool @ SY1043 @ SY1044 )
| ~ ( ws @ c @ SY1044 )
| ! [SY1042: $i] :
( ~ ( b @ SY1044 @ SY1042 )
| ( ws @ c @ SY1042 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26,irreflexive,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(64,plain,
( ( ! [SY1067: $i,SY1068: $i] :
( ~ ( fool @ SY1067 @ SY1068 )
| ~ ( ws @ c @ SY1068 )
| ! [SY1066: $i] :
( ~ ( a @ SY1068 @ SY1066 )
| ( ws @ c @ SY1066 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27,irreflexive,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(65,plain,
( ( ! [SY1091: $i,SY1092: $i] :
( ~ ( fool @ SY1091 @ SY1092 )
| ~ ( ws @ b @ SY1092 )
| ! [SY1090: $i] :
( ~ ( c @ SY1092 @ SY1090 )
| ( ws @ b @ SY1090 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28,irreflexive,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(66,plain,
( ( ! [SY1115: $i,SY1116: $i] :
( ~ ( fool @ SY1115 @ SY1116 )
| ~ ( ws @ b @ SY1116 )
| ! [SY1114: $i] :
( ~ ( a @ SY1116 @ SY1114 )
| ( ws @ b @ SY1114 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29,irreflexive,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(67,plain,
( ( ! [SY1139: $i,SY1140: $i] :
( ~ ( fool @ SY1139 @ SY1140 )
| ~ ( ws @ a @ SY1140 )
| ! [SY1138: $i] :
( ~ ( c @ SY1140 @ SY1138 )
| ( ws @ a @ SY1138 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30,irreflexive,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(68,plain,
( ( ! [SY1163: $i,SY1164: $i] :
( ~ ( fool @ SY1163 @ SY1164 )
| ~ ( ws @ a @ SY1164 )
| ! [SY1162: $i] :
( ~ ( b @ SY1164 @ SY1162 )
| ( ws @ a @ SY1162 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31,irreflexive,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(69,plain,
( ( ! [SY1180: $i,SY1181: $i] :
( ~ ( fool @ SY1180 @ SY1181 )
| ( ws @ a @ SY1181 )
| ( ws @ b @ SY1181 )
| ( ws @ c @ SY1181 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32,irreflexive,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,
( ( ! [SY1184: $i,SY1185: $i,SY1186: $i] :
( ( ( priorG @ SY1184 @ SY1185 )
& ( priorG @ SY1185 @ SY1186 ) )
=> ( priorG @ SY1184 @ SY1186 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33,irreflexive,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,
( ( ! [SY1190: $i] :
~ ( priorG @ SY1190 @ SY1190 ) )
= $true ),
inference(unfold_def,[status(thm)],[34,irreflexive,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,
( ( ! [SY1192: $i] :
( ~ ( priorG @ sK1_SY26 @ SY1192 )
| ! [SY23: $i] :
( ~ ( priorG @ SY1192 @ SY23 )
| ! [SY19: $i] :
( ~ ( priorG @ SY23 @ SY19 )
| ! [SY16: $i] :
( ~ ( c @ SY19 @ SY16 )
| ( ws @ c @ SY16 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(73,plain,
( ( ~ ( priorG @ sK1_SY26 @ sK2_SY1192 )
| ! [SY1196: $i] :
( ~ ( priorG @ sK2_SY1192 @ SY1196 )
| ! [SY19: $i] :
( ~ ( priorG @ SY1196 @ SY19 )
| ! [SY16: $i] :
( ~ ( c @ SY19 @ SY16 )
| ( ws @ c @ SY16 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[72]) ).
thf(74,plain,
( ( ~ ( ~ ( priorG @ sK1_SY26 @ sK2_SY1192 )
| ! [SY1196: $i] :
( ~ ( priorG @ sK2_SY1192 @ SY1196 )
| ! [SY19: $i] :
( ~ ( priorG @ SY1196 @ SY19 )
| ! [SY16: $i] :
( ~ ( c @ SY19 @ SY16 )
| ( ws @ c @ SY16 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[73]) ).
thf(75,plain,
( ( ( priorG @ sK1_SY26 @ sK2_SY1192 )
& ( priorG @ sK2_SY1192 @ sK3_SY1196 )
& ( priorG @ sK3_SY1196 @ sK4_SY1199 )
& ( c @ sK4_SY1199 @ sK5_SY1201 )
& ~ ( ws @ c @ sK5_SY1201 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(76,plain,
( ( ! [SY56: $i,SY57: $i] :
( ~ ( priorG @ SY56 @ SY57 )
| ! [SY54: $i] :
( ~ ( priorG @ SY57 @ SY54 )
| ( ( b @ SY54 @ ( sK6_SY51 @ SY54 @ SY57 @ SY56 ) )
& ~ ( ws @ b @ ( sK6_SY51 @ SY54 @ SY57 @ SY56 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(77,plain,
( ( ! [SY77: $i,SY78: $i] :
( ~ ( priorG @ SY77 @ SY78 )
| ( ( a @ SY78 @ ( sK7_SY76 @ SY78 @ SY77 ) )
& ~ ( ws @ a @ ( sK7_SY76 @ SY78 @ SY77 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[39]) ).
thf(78,plain,
( ( ! [SY125: $i,SY126: $i > $o] :
( ! [SY127: $i] :
( ~ ( c @ SY125 @ SY127 )
| ( SY126 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( b @ SY125 @ SY128 )
| ( ( c @ SY128 @ ( sK8_SY121 @ SY128 @ SY126 @ SY125 ) )
& ~ ( SY126 @ ( sK8_SY121 @ SY128 @ SY126 @ SY125 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(79,plain,
( ( ! [SY177: $i,SY178: $i > $o] :
( ! [SY179: $i] :
( ~ ( c @ SY177 @ SY179 )
| ( SY178 @ SY179 ) )
| ! [SY180: $i] :
( ~ ( a @ SY177 @ SY180 )
| ( ( c @ SY180 @ ( sK9_SY173 @ SY180 @ SY178 @ SY177 ) )
& ~ ( SY178 @ ( sK9_SY173 @ SY180 @ SY178 @ SY177 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(80,plain,
( ( ! [SY229: $i,SY230: $i > $o] :
( ! [SY231: $i] :
( ~ ( b @ SY229 @ SY231 )
| ( SY230 @ SY231 ) )
| ! [SY232: $i] :
( ~ ( c @ SY229 @ SY232 )
| ( ( b @ SY232 @ ( sK10_SY225 @ SY232 @ SY230 @ SY229 ) )
& ~ ( SY230 @ ( sK10_SY225 @ SY232 @ SY230 @ SY229 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[42]) ).
thf(81,plain,
( ( ! [SY281: $i,SY282: $i > $o] :
( ! [SY283: $i] :
( ~ ( b @ SY281 @ SY283 )
| ( SY282 @ SY283 ) )
| ! [SY284: $i] :
( ~ ( a @ SY281 @ SY284 )
| ( ( b @ SY284 @ ( sK11_SY277 @ SY284 @ SY282 @ SY281 ) )
& ~ ( SY282 @ ( sK11_SY277 @ SY284 @ SY282 @ SY281 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[43]) ).
thf(82,plain,
( ( ! [SY333: $i,SY334: $i > $o] :
( ! [SY335: $i] :
( ~ ( a @ SY333 @ SY335 )
| ( SY334 @ SY335 ) )
| ! [SY336: $i] :
( ~ ( c @ SY333 @ SY336 )
| ( ( a @ SY336 @ ( sK12_SY329 @ SY336 @ SY334 @ SY333 ) )
& ~ ( SY334 @ ( sK12_SY329 @ SY336 @ SY334 @ SY333 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[44]) ).
thf(83,plain,
( ( ! [SY385: $i,SY386: $i > $o] :
( ! [SY387: $i] :
( ~ ( a @ SY385 @ SY387 )
| ( SY386 @ SY387 ) )
| ! [SY388: $i] :
( ~ ( b @ SY385 @ SY388 )
| ( ( a @ SY388 @ ( sK13_SY381 @ SY388 @ SY386 @ SY385 ) )
& ~ ( SY386 @ ( sK13_SY381 @ SY388 @ SY386 @ SY385 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[45]) ).
thf(84,plain,
( ( ! [SY433: $i,SY434: $i > $o] :
( ( ( c @ SY433 @ ( sK14_SY435 @ SY434 @ SY433 ) )
& ~ ( SY434 @ ( sK14_SY435 @ SY434 @ SY433 ) ) )
| ! [SY436: $i] :
( ~ ( b @ SY433 @ SY436 )
| ! [SY429: $i] :
( ~ ( c @ SY436 @ SY429 )
| ( SY434 @ SY429 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[46]) ).
thf(85,plain,
( ( ! [SY481: $i,SY482: $i > $o] :
( ( ( c @ SY481 @ ( sK15_SY483 @ SY482 @ SY481 ) )
& ~ ( SY482 @ ( sK15_SY483 @ SY482 @ SY481 ) ) )
| ! [SY484: $i] :
( ~ ( a @ SY481 @ SY484 )
| ! [SY477: $i] :
( ~ ( c @ SY484 @ SY477 )
| ( SY482 @ SY477 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[47]) ).
thf(86,plain,
( ( ! [SY529: $i,SY530: $i > $o] :
( ( ( b @ SY529 @ ( sK16_SY531 @ SY530 @ SY529 ) )
& ~ ( SY530 @ ( sK16_SY531 @ SY530 @ SY529 ) ) )
| ! [SY532: $i] :
( ~ ( c @ SY529 @ SY532 )
| ! [SY525: $i] :
( ~ ( b @ SY532 @ SY525 )
| ( SY530 @ SY525 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[48]) ).
thf(87,plain,
( ( ! [SY577: $i,SY578: $i > $o] :
( ( ( b @ SY577 @ ( sK17_SY579 @ SY578 @ SY577 ) )
& ~ ( SY578 @ ( sK17_SY579 @ SY578 @ SY577 ) ) )
| ! [SY580: $i] :
( ~ ( a @ SY577 @ SY580 )
| ! [SY573: $i] :
( ~ ( b @ SY580 @ SY573 )
| ( SY578 @ SY573 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(88,plain,
( ( ! [SY625: $i,SY626: $i > $o] :
( ( ( a @ SY625 @ ( sK18_SY627 @ SY626 @ SY625 ) )
& ~ ( SY626 @ ( sK18_SY627 @ SY626 @ SY625 ) ) )
| ! [SY628: $i] :
( ~ ( c @ SY625 @ SY628 )
| ! [SY621: $i] :
( ~ ( a @ SY628 @ SY621 )
| ( SY626 @ SY621 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[50]) ).
thf(89,plain,
( ( ! [SY673: $i,SY674: $i > $o] :
( ( ( a @ SY673 @ ( sK19_SY675 @ SY674 @ SY673 ) )
& ~ ( SY674 @ ( sK19_SY675 @ SY674 @ SY673 ) ) )
| ! [SY676: $i] :
( ~ ( b @ SY673 @ SY676 )
| ! [SY669: $i] :
( ~ ( a @ SY676 @ SY669 )
| ( SY674 @ SY669 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(90,plain,
( ( ! [SY712: $i,SY713: $i > $o] :
( ( ( fool @ SY712 @ ( sK20_SY714 @ SY713 @ SY712 ) )
& ~ ( SY713 @ ( sK20_SY714 @ SY713 @ SY712 ) ) )
| ! [SY715: $i] :
( ~ ( c @ SY712 @ SY715 )
| ( SY713 @ SY715 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(91,plain,
( ( ! [SY749: $i,SY750: $i > $o] :
( ( ( fool @ SY749 @ ( sK21_SY751 @ SY750 @ SY749 ) )
& ~ ( SY750 @ ( sK21_SY751 @ SY750 @ SY749 ) ) )
| ! [SY752: $i] :
( ~ ( b @ SY749 @ SY752 )
| ( SY750 @ SY752 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(92,plain,
( ( ! [SY786: $i,SY787: $i > $o] :
( ( ( fool @ SY786 @ ( sK22_SY788 @ SY787 @ SY786 ) )
& ~ ( SY787 @ ( sK22_SY788 @ SY787 @ SY786 ) ) )
| ! [SY789: $i] :
( ~ ( a @ SY786 @ SY789 )
| ( SY787 @ SY789 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(93,plain,
( ( ! [SY832: $i,SY833: $i > $o] :
( ( ( fool @ SY832 @ ( sK23_SY834 @ SY833 @ SY832 ) )
& ~ ( SY833 @ ( sK23_SY834 @ SY833 @ SY832 ) ) )
| ! [SY835: $i] :
( ~ ( fool @ SY832 @ SY835 )
| ! [SY828: $i] :
( ~ ( fool @ SY835 @ SY828 )
| ( SY833 @ SY828 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(94,plain,
( ( ! [SY863: $i,SY864: $i > $o] :
( ( ( fool @ SY863 @ ( sK24_SY865 @ SY864 @ SY863 ) )
& ~ ( SY864 @ ( sK24_SY865 @ SY864 @ SY863 ) ) )
| ( SY864 @ SY863 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(95,plain,
( ( ! [SY889: $i,SY890: $i] :
( ~ ( fool @ SY889 @ SY890 )
| ( ws @ c @ SY890 )
| ! [SY888: $i] :
( ~ ( b @ SY890 @ SY888 )
| ~ ( ws @ c @ SY888 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(96,plain,
( ( ! [SY915: $i,SY916: $i] :
( ~ ( fool @ SY915 @ SY916 )
| ( ws @ c @ SY916 )
| ! [SY914: $i] :
( ~ ( a @ SY916 @ SY914 )
| ~ ( ws @ c @ SY914 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(97,plain,
( ( ! [SY941: $i,SY942: $i] :
( ~ ( fool @ SY941 @ SY942 )
| ( ws @ b @ SY942 )
| ! [SY940: $i] :
( ~ ( c @ SY942 @ SY940 )
| ~ ( ws @ b @ SY940 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[59]) ).
thf(98,plain,
( ( ! [SY967: $i,SY968: $i] :
( ~ ( fool @ SY967 @ SY968 )
| ( ws @ b @ SY968 )
| ! [SY966: $i] :
( ~ ( a @ SY968 @ SY966 )
| ~ ( ws @ b @ SY966 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[60]) ).
thf(99,plain,
( ( ! [SY993: $i,SY994: $i] :
( ~ ( fool @ SY993 @ SY994 )
| ( ws @ a @ SY994 )
| ! [SY992: $i] :
( ~ ( c @ SY994 @ SY992 )
| ~ ( ws @ a @ SY992 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[61]) ).
thf(100,plain,
( ( ! [SY1019: $i,SY1020: $i] :
( ~ ( fool @ SY1019 @ SY1020 )
| ( ws @ a @ SY1020 )
| ! [SY1018: $i] :
( ~ ( b @ SY1020 @ SY1018 )
| ~ ( ws @ a @ SY1018 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[62]) ).
thf(101,plain,
( ( ! [SY1184: $i,SY1185: $i,SY1186: $i] :
( ~ ( priorG @ SY1184 @ SY1185 )
| ~ ( priorG @ SY1185 @ SY1186 )
| ( priorG @ SY1184 @ SY1186 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[70]) ).
thf(102,plain,
( ( ! [SY1190: $i] :
~ ( priorG @ SY1190 @ SY1190 ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(103,plain,
( ( ! [SY1184: $i,SY1185: $i,SY1186: $i] :
( ~ ( priorG @ SY1184 @ SY1185 )
| ~ ( priorG @ SY1185 @ SY1186 )
| ( priorG @ SY1184 @ SY1186 ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(104,plain,
( ( ! [SY1180: $i,SY1181: $i] :
( ~ ( fool @ SY1180 @ SY1181 )
| ( ws @ a @ SY1181 )
| ( ws @ b @ SY1181 )
| ( ws @ c @ SY1181 ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(105,plain,
( ( ! [SY1163: $i,SY1164: $i] :
( ~ ( fool @ SY1163 @ SY1164 )
| ~ ( ws @ a @ SY1164 )
| ! [SY1162: $i] :
( ~ ( b @ SY1164 @ SY1162 )
| ( ws @ a @ SY1162 ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(106,plain,
( ( ! [SY1139: $i,SY1140: $i] :
( ~ ( fool @ SY1139 @ SY1140 )
| ~ ( ws @ a @ SY1140 )
| ! [SY1138: $i] :
( ~ ( c @ SY1140 @ SY1138 )
| ( ws @ a @ SY1138 ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(107,plain,
( ( ! [SY1115: $i,SY1116: $i] :
( ~ ( fool @ SY1115 @ SY1116 )
| ~ ( ws @ b @ SY1116 )
| ! [SY1114: $i] :
( ~ ( a @ SY1116 @ SY1114 )
| ( ws @ b @ SY1114 ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(108,plain,
( ( ! [SY1091: $i,SY1092: $i] :
( ~ ( fool @ SY1091 @ SY1092 )
| ~ ( ws @ b @ SY1092 )
| ! [SY1090: $i] :
( ~ ( c @ SY1092 @ SY1090 )
| ( ws @ b @ SY1090 ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(109,plain,
( ( ! [SY1067: $i,SY1068: $i] :
( ~ ( fool @ SY1067 @ SY1068 )
| ~ ( ws @ c @ SY1068 )
| ! [SY1066: $i] :
( ~ ( a @ SY1068 @ SY1066 )
| ( ws @ c @ SY1066 ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(110,plain,
( ( ! [SY1043: $i,SY1044: $i] :
( ~ ( fool @ SY1043 @ SY1044 )
| ~ ( ws @ c @ SY1044 )
| ! [SY1042: $i] :
( ~ ( b @ SY1044 @ SY1042 )
| ( ws @ c @ SY1042 ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(111,plain,
( ( ! [SY1019: $i,SY1020: $i] :
( ~ ( fool @ SY1019 @ SY1020 )
| ( ws @ a @ SY1020 )
| ! [SY1018: $i] :
( ~ ( b @ SY1020 @ SY1018 )
| ~ ( ws @ a @ SY1018 ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(112,plain,
( ( ! [SY993: $i,SY994: $i] :
( ~ ( fool @ SY993 @ SY994 )
| ( ws @ a @ SY994 )
| ! [SY992: $i] :
( ~ ( c @ SY994 @ SY992 )
| ~ ( ws @ a @ SY992 ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(113,plain,
( ( ! [SY967: $i,SY968: $i] :
( ~ ( fool @ SY967 @ SY968 )
| ( ws @ b @ SY968 )
| ! [SY966: $i] :
( ~ ( a @ SY968 @ SY966 )
| ~ ( ws @ b @ SY966 ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(114,plain,
( ( ! [SY941: $i,SY942: $i] :
( ~ ( fool @ SY941 @ SY942 )
| ( ws @ b @ SY942 )
| ! [SY940: $i] :
( ~ ( c @ SY942 @ SY940 )
| ~ ( ws @ b @ SY940 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(115,plain,
( ( ! [SY915: $i,SY916: $i] :
( ~ ( fool @ SY915 @ SY916 )
| ( ws @ c @ SY916 )
| ! [SY914: $i] :
( ~ ( a @ SY916 @ SY914 )
| ~ ( ws @ c @ SY914 ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(116,plain,
( ( ! [SY889: $i,SY890: $i] :
( ~ ( fool @ SY889 @ SY890 )
| ( ws @ c @ SY890 )
| ! [SY888: $i] :
( ~ ( b @ SY890 @ SY888 )
| ~ ( ws @ c @ SY888 ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(117,plain,
( ( ! [SY863: $i,SY864: $i > $o] :
( ( ( fool @ SY863 @ ( sK24_SY865 @ SY864 @ SY863 ) )
& ~ ( SY864 @ ( sK24_SY865 @ SY864 @ SY863 ) ) )
| ( SY864 @ SY863 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(118,plain,
( ( ! [SY832: $i,SY833: $i > $o] :
( ( ( fool @ SY832 @ ( sK23_SY834 @ SY833 @ SY832 ) )
& ~ ( SY833 @ ( sK23_SY834 @ SY833 @ SY832 ) ) )
| ! [SY835: $i] :
( ~ ( fool @ SY832 @ SY835 )
| ! [SY828: $i] :
( ~ ( fool @ SY835 @ SY828 )
| ( SY833 @ SY828 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(119,plain,
( ( ! [SY786: $i,SY787: $i > $o] :
( ( ( fool @ SY786 @ ( sK22_SY788 @ SY787 @ SY786 ) )
& ~ ( SY787 @ ( sK22_SY788 @ SY787 @ SY786 ) ) )
| ! [SY789: $i] :
( ~ ( a @ SY786 @ SY789 )
| ( SY787 @ SY789 ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(120,plain,
( ( ! [SY749: $i,SY750: $i > $o] :
( ( ( fool @ SY749 @ ( sK21_SY751 @ SY750 @ SY749 ) )
& ~ ( SY750 @ ( sK21_SY751 @ SY750 @ SY749 ) ) )
| ! [SY752: $i] :
( ~ ( b @ SY749 @ SY752 )
| ( SY750 @ SY752 ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(121,plain,
( ( ! [SY712: $i,SY713: $i > $o] :
( ( ( fool @ SY712 @ ( sK20_SY714 @ SY713 @ SY712 ) )
& ~ ( SY713 @ ( sK20_SY714 @ SY713 @ SY712 ) ) )
| ! [SY715: $i] :
( ~ ( c @ SY712 @ SY715 )
| ( SY713 @ SY715 ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(122,plain,
( ( ! [SY673: $i,SY674: $i > $o] :
( ( ( a @ SY673 @ ( sK19_SY675 @ SY674 @ SY673 ) )
& ~ ( SY674 @ ( sK19_SY675 @ SY674 @ SY673 ) ) )
| ! [SY676: $i] :
( ~ ( b @ SY673 @ SY676 )
| ! [SY669: $i] :
( ~ ( a @ SY676 @ SY669 )
| ( SY674 @ SY669 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(123,plain,
( ( ! [SY625: $i,SY626: $i > $o] :
( ( ( a @ SY625 @ ( sK18_SY627 @ SY626 @ SY625 ) )
& ~ ( SY626 @ ( sK18_SY627 @ SY626 @ SY625 ) ) )
| ! [SY628: $i] :
( ~ ( c @ SY625 @ SY628 )
| ! [SY621: $i] :
( ~ ( a @ SY628 @ SY621 )
| ( SY626 @ SY621 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(124,plain,
( ( ! [SY577: $i,SY578: $i > $o] :
( ( ( b @ SY577 @ ( sK17_SY579 @ SY578 @ SY577 ) )
& ~ ( SY578 @ ( sK17_SY579 @ SY578 @ SY577 ) ) )
| ! [SY580: $i] :
( ~ ( a @ SY577 @ SY580 )
| ! [SY573: $i] :
( ~ ( b @ SY580 @ SY573 )
| ( SY578 @ SY573 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(125,plain,
( ( ! [SY529: $i,SY530: $i > $o] :
( ( ( b @ SY529 @ ( sK16_SY531 @ SY530 @ SY529 ) )
& ~ ( SY530 @ ( sK16_SY531 @ SY530 @ SY529 ) ) )
| ! [SY532: $i] :
( ~ ( c @ SY529 @ SY532 )
| ! [SY525: $i] :
( ~ ( b @ SY532 @ SY525 )
| ( SY530 @ SY525 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(126,plain,
( ( ! [SY481: $i,SY482: $i > $o] :
( ( ( c @ SY481 @ ( sK15_SY483 @ SY482 @ SY481 ) )
& ~ ( SY482 @ ( sK15_SY483 @ SY482 @ SY481 ) ) )
| ! [SY484: $i] :
( ~ ( a @ SY481 @ SY484 )
| ! [SY477: $i] :
( ~ ( c @ SY484 @ SY477 )
| ( SY482 @ SY477 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(127,plain,
( ( ! [SY433: $i,SY434: $i > $o] :
( ( ( c @ SY433 @ ( sK14_SY435 @ SY434 @ SY433 ) )
& ~ ( SY434 @ ( sK14_SY435 @ SY434 @ SY433 ) ) )
| ! [SY436: $i] :
( ~ ( b @ SY433 @ SY436 )
| ! [SY429: $i] :
( ~ ( c @ SY436 @ SY429 )
| ( SY434 @ SY429 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(128,plain,
( ( ! [SY385: $i,SY386: $i > $o] :
( ! [SY387: $i] :
( ~ ( a @ SY385 @ SY387 )
| ( SY386 @ SY387 ) )
| ! [SY388: $i] :
( ~ ( b @ SY385 @ SY388 )
| ( ( a @ SY388 @ ( sK13_SY381 @ SY388 @ SY386 @ SY385 ) )
& ~ ( SY386 @ ( sK13_SY381 @ SY388 @ SY386 @ SY385 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(129,plain,
( ( ! [SY333: $i,SY334: $i > $o] :
( ! [SY335: $i] :
( ~ ( a @ SY333 @ SY335 )
| ( SY334 @ SY335 ) )
| ! [SY336: $i] :
( ~ ( c @ SY333 @ SY336 )
| ( ( a @ SY336 @ ( sK12_SY329 @ SY336 @ SY334 @ SY333 ) )
& ~ ( SY334 @ ( sK12_SY329 @ SY336 @ SY334 @ SY333 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(130,plain,
( ( ! [SY281: $i,SY282: $i > $o] :
( ! [SY283: $i] :
( ~ ( b @ SY281 @ SY283 )
| ( SY282 @ SY283 ) )
| ! [SY284: $i] :
( ~ ( a @ SY281 @ SY284 )
| ( ( b @ SY284 @ ( sK11_SY277 @ SY284 @ SY282 @ SY281 ) )
& ~ ( SY282 @ ( sK11_SY277 @ SY284 @ SY282 @ SY281 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(131,plain,
( ( ! [SY229: $i,SY230: $i > $o] :
( ! [SY231: $i] :
( ~ ( b @ SY229 @ SY231 )
| ( SY230 @ SY231 ) )
| ! [SY232: $i] :
( ~ ( c @ SY229 @ SY232 )
| ( ( b @ SY232 @ ( sK10_SY225 @ SY232 @ SY230 @ SY229 ) )
& ~ ( SY230 @ ( sK10_SY225 @ SY232 @ SY230 @ SY229 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(132,plain,
( ( ! [SY177: $i,SY178: $i > $o] :
( ! [SY179: $i] :
( ~ ( c @ SY177 @ SY179 )
| ( SY178 @ SY179 ) )
| ! [SY180: $i] :
( ~ ( a @ SY177 @ SY180 )
| ( ( c @ SY180 @ ( sK9_SY173 @ SY180 @ SY178 @ SY177 ) )
& ~ ( SY178 @ ( sK9_SY173 @ SY180 @ SY178 @ SY177 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(133,plain,
( ( ! [SY125: $i,SY126: $i > $o] :
( ! [SY127: $i] :
( ~ ( c @ SY125 @ SY127 )
| ( SY126 @ SY127 ) )
| ! [SY128: $i] :
( ~ ( b @ SY125 @ SY128 )
| ( ( c @ SY128 @ ( sK8_SY121 @ SY128 @ SY126 @ SY125 ) )
& ~ ( SY126 @ ( sK8_SY121 @ SY128 @ SY126 @ SY125 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(134,plain,
( ( ! [SY77: $i,SY78: $i] :
( ~ ( priorG @ SY77 @ SY78 )
| ( ( a @ SY78 @ ( sK7_SY76 @ SY78 @ SY77 ) )
& ~ ( ws @ a @ ( sK7_SY76 @ SY78 @ SY77 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(135,plain,
( ( ! [SY56: $i,SY57: $i] :
( ~ ( priorG @ SY56 @ SY57 )
| ! [SY54: $i] :
( ~ ( priorG @ SY57 @ SY54 )
| ( ( b @ SY54 @ ( sK6_SY51 @ SY54 @ SY57 @ SY56 ) )
& ~ ( ws @ b @ ( sK6_SY51 @ SY54 @ SY57 @ SY56 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(136,plain,
( ( ( priorG @ sK1_SY26 @ sK2_SY1192 )
& ( priorG @ sK2_SY1192 @ sK3_SY1196 )
& ( priorG @ sK3_SY1196 @ sK4_SY1199 )
& ( c @ sK4_SY1199 @ sK5_SY1201 )
& ~ ( ws @ c @ sK5_SY1201 ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(137,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( a @ SX0 @ ( sK18_SY627 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK18_SY627 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( a @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(138,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ~ ( ~ ( c @ SX2 @ ( sK9_SY173 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK9_SY173 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(139,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( priorG @ SX0 @ SX1 )
| ~ ( ~ ( a @ SX1 @ ( sK7_SY76 @ SX1 @ SX0 ) )
| ~ ~ ( ws @ a @ ( sK7_SY76 @ SX1 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(140,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ~ ( ~ ( a @ SX2 @ ( sK13_SY381 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK13_SY381 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(141,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( fool @ SX0 @ ( sK23_SY834 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK23_SY834 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( fool @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(142,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ~ ( ~ ( c @ SX2 @ ( sK8_SY121 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK8_SY121 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(143,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ~ ( ~ ( b @ SX2 @ ( sK11_SY277 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK11_SY277 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(144,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ~ ( ~ ( a @ SX2 @ ( sK12_SY329 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK12_SY329 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(145,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( c @ SX0 @ ( sK15_SY483 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK15_SY483 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( c @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(146,plain,
( ( ~ ( ~ ( priorG @ sK1_SY26 @ sK2_SY1192 )
| ~ ~ ( ~ ( priorG @ sK2_SY1192 @ sK3_SY1196 )
| ~ ~ ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(147,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( fool @ SX0 @ ( sK22_SY788 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK22_SY788 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(148,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( fool @ SX0 @ ( sK21_SY751 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK21_SY751 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(149,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( c @ SX0 @ ( sK14_SY435 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK14_SY435 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( c @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(150,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( fool @ SX0 @ ( sK24_SY865 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK24_SY865 @ SX1 @ SX0 ) ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(151,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( b @ SX0 @ ( sK16_SY531 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK16_SY531 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(152,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( priorG @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( priorG @ SX1 @ SX2 )
| ~ ( ~ ( b @ SX2 @ ( sK6_SY51 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( a @ SX0 @ ( sK19_SY675 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK19_SY675 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( a @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(154,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ~ ( ~ ( b @ SX2 @ ( sK10_SY225 @ SX2 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK10_SY225 @ SX2 @ SX1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(155,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( b @ SX0 @ ( sK17_SY579 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK17_SY579 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(156,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ( ~ ( fool @ SX0 @ ( sK20_SY714 @ SX1 @ SX0 ) )
| ~ ~ ( SX1 @ ( sK20_SY714 @ SX1 @ SX0 ) ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121,irreflexive,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(157,plain,
! [SV1: $i] :
( ( ~ ( priorG @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(158,plain,
! [SV2: $i] :
( ( ! [SY1202: $i,SY1203: $i] :
( ~ ( priorG @ SV2 @ SY1202 )
| ~ ( priorG @ SY1202 @ SY1203 )
| ( priorG @ SV2 @ SY1203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(159,plain,
! [SV3: $i] :
( ( ! [SY1204: $i] :
( ~ ( fool @ SV3 @ SY1204 )
| ( ws @ a @ SY1204 )
| ( ws @ b @ SY1204 )
| ( ws @ c @ SY1204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(160,plain,
! [SV4: $i] :
( ( ! [SY1205: $i] :
( ~ ( fool @ SV4 @ SY1205 )
| ~ ( ws @ a @ SY1205 )
| ! [SY1162: $i] :
( ~ ( b @ SY1205 @ SY1162 )
| ( ws @ a @ SY1162 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(161,plain,
! [SV5: $i] :
( ( ! [SY1207: $i] :
( ~ ( fool @ SV5 @ SY1207 )
| ~ ( ws @ a @ SY1207 )
| ! [SY1138: $i] :
( ~ ( c @ SY1207 @ SY1138 )
| ( ws @ a @ SY1138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(162,plain,
! [SV6: $i] :
( ( ! [SY1209: $i] :
( ~ ( fool @ SV6 @ SY1209 )
| ~ ( ws @ b @ SY1209 )
| ! [SY1114: $i] :
( ~ ( a @ SY1209 @ SY1114 )
| ( ws @ b @ SY1114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(163,plain,
! [SV7: $i] :
( ( ! [SY1211: $i] :
( ~ ( fool @ SV7 @ SY1211 )
| ~ ( ws @ b @ SY1211 )
| ! [SY1090: $i] :
( ~ ( c @ SY1211 @ SY1090 )
| ( ws @ b @ SY1090 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(164,plain,
! [SV8: $i] :
( ( ! [SY1213: $i] :
( ~ ( fool @ SV8 @ SY1213 )
| ~ ( ws @ c @ SY1213 )
| ! [SY1066: $i] :
( ~ ( a @ SY1213 @ SY1066 )
| ( ws @ c @ SY1066 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(165,plain,
! [SV9: $i] :
( ( ! [SY1215: $i] :
( ~ ( fool @ SV9 @ SY1215 )
| ~ ( ws @ c @ SY1215 )
| ! [SY1042: $i] :
( ~ ( b @ SY1215 @ SY1042 )
| ( ws @ c @ SY1042 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(166,plain,
! [SV10: $i] :
( ( ! [SY1217: $i] :
( ~ ( fool @ SV10 @ SY1217 )
| ( ws @ a @ SY1217 )
| ! [SY1018: $i] :
( ~ ( b @ SY1217 @ SY1018 )
| ~ ( ws @ a @ SY1018 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(167,plain,
! [SV11: $i] :
( ( ! [SY1219: $i] :
( ~ ( fool @ SV11 @ SY1219 )
| ( ws @ a @ SY1219 )
| ! [SY992: $i] :
( ~ ( c @ SY1219 @ SY992 )
| ~ ( ws @ a @ SY992 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(168,plain,
! [SV12: $i] :
( ( ! [SY1221: $i] :
( ~ ( fool @ SV12 @ SY1221 )
| ( ws @ b @ SY1221 )
| ! [SY966: $i] :
( ~ ( a @ SY1221 @ SY966 )
| ~ ( ws @ b @ SY966 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(169,plain,
! [SV13: $i] :
( ( ! [SY1223: $i] :
( ~ ( fool @ SV13 @ SY1223 )
| ( ws @ b @ SY1223 )
| ! [SY940: $i] :
( ~ ( c @ SY1223 @ SY940 )
| ~ ( ws @ b @ SY940 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(170,plain,
! [SV14: $i] :
( ( ! [SY1225: $i] :
( ~ ( fool @ SV14 @ SY1225 )
| ( ws @ c @ SY1225 )
| ! [SY914: $i] :
( ~ ( a @ SY1225 @ SY914 )
| ~ ( ws @ c @ SY914 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(171,plain,
! [SV15: $i] :
( ( ! [SY1227: $i] :
( ~ ( fool @ SV15 @ SY1227 )
| ( ws @ c @ SY1227 )
| ! [SY888: $i] :
( ~ ( b @ SY1227 @ SY888 )
| ~ ( ws @ c @ SY888 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(172,plain,
! [SV16: $i] :
( ( ! [SY1229: $i > $o] :
( ~ ( ~ ( a @ SV16 @ ( sK18_SY627 @ SY1229 @ SV16 ) )
| ~ ~ ( SY1229 @ ( sK18_SY627 @ SY1229 @ SV16 ) ) )
| ! [SY1230: $i] :
( ~ ( c @ SV16 @ SY1230 )
| ! [SX3: $i] :
( ~ ( a @ SY1230 @ SX3 )
| ( SY1229 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(173,plain,
! [SV17: $i] :
( ( ! [SY1232: $i > $o] :
( ! [SY1233: $i] :
( ~ ( c @ SV17 @ SY1233 )
| ( SY1232 @ SY1233 ) )
| ! [SY1234: $i] :
( ~ ( a @ SV17 @ SY1234 )
| ~ ( ~ ( c @ SY1234 @ ( sK9_SY173 @ SY1234 @ SY1232 @ SV17 ) )
| ~ ~ ( SY1232 @ ( sK9_SY173 @ SY1234 @ SY1232 @ SV17 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(174,plain,
! [SV18: $i] :
( ( ! [SY1235: $i] :
( ~ ( priorG @ SV18 @ SY1235 )
| ~ ( ~ ( a @ SY1235 @ ( sK7_SY76 @ SY1235 @ SV18 ) )
| ~ ~ ( ws @ a @ ( sK7_SY76 @ SY1235 @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(175,plain,
! [SV19: $i] :
( ( ! [SY1236: $i > $o] :
( ! [SY1237: $i] :
( ~ ( a @ SV19 @ SY1237 )
| ( SY1236 @ SY1237 ) )
| ! [SY1238: $i] :
( ~ ( b @ SV19 @ SY1238 )
| ~ ( ~ ( a @ SY1238 @ ( sK13_SY381 @ SY1238 @ SY1236 @ SV19 ) )
| ~ ~ ( SY1236 @ ( sK13_SY381 @ SY1238 @ SY1236 @ SV19 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(176,plain,
! [SV20: $i] :
( ( ! [SY1239: $i > $o] :
( ~ ( ~ ( fool @ SV20 @ ( sK23_SY834 @ SY1239 @ SV20 ) )
| ~ ~ ( SY1239 @ ( sK23_SY834 @ SY1239 @ SV20 ) ) )
| ! [SY1240: $i] :
( ~ ( fool @ SV20 @ SY1240 )
| ! [SX3: $i] :
( ~ ( fool @ SY1240 @ SX3 )
| ( SY1239 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(177,plain,
! [SV21: $i] :
( ( ! [SY1242: $i > $o] :
( ! [SY1243: $i] :
( ~ ( c @ SV21 @ SY1243 )
| ( SY1242 @ SY1243 ) )
| ! [SY1244: $i] :
( ~ ( b @ SV21 @ SY1244 )
| ~ ( ~ ( c @ SY1244 @ ( sK8_SY121 @ SY1244 @ SY1242 @ SV21 ) )
| ~ ~ ( SY1242 @ ( sK8_SY121 @ SY1244 @ SY1242 @ SV21 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(178,plain,
! [SV22: $i] :
( ( ! [SY1245: $i > $o] :
( ! [SY1246: $i] :
( ~ ( b @ SV22 @ SY1246 )
| ( SY1245 @ SY1246 ) )
| ! [SY1247: $i] :
( ~ ( a @ SV22 @ SY1247 )
| ~ ( ~ ( b @ SY1247 @ ( sK11_SY277 @ SY1247 @ SY1245 @ SV22 ) )
| ~ ~ ( SY1245 @ ( sK11_SY277 @ SY1247 @ SY1245 @ SV22 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(179,plain,
! [SV23: $i] :
( ( ! [SY1248: $i > $o] :
( ! [SY1249: $i] :
( ~ ( a @ SV23 @ SY1249 )
| ( SY1248 @ SY1249 ) )
| ! [SY1250: $i] :
( ~ ( c @ SV23 @ SY1250 )
| ~ ( ~ ( a @ SY1250 @ ( sK12_SY329 @ SY1250 @ SY1248 @ SV23 ) )
| ~ ~ ( SY1248 @ ( sK12_SY329 @ SY1250 @ SY1248 @ SV23 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(180,plain,
! [SV24: $i] :
( ( ! [SY1251: $i > $o] :
( ~ ( ~ ( c @ SV24 @ ( sK15_SY483 @ SY1251 @ SV24 ) )
| ~ ~ ( SY1251 @ ( sK15_SY483 @ SY1251 @ SV24 ) ) )
| ! [SY1252: $i] :
( ~ ( a @ SV24 @ SY1252 )
| ! [SX3: $i] :
( ~ ( c @ SY1252 @ SX3 )
| ( SY1251 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(181,plain,
( ( ~ ( priorG @ sK1_SY26 @ sK2_SY1192 )
| ~ ~ ( ~ ( priorG @ sK2_SY1192 @ sK3_SY1196 )
| ~ ~ ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(182,plain,
! [SV25: $i] :
( ( ! [SY1254: $i > $o] :
( ~ ( ~ ( fool @ SV25 @ ( sK22_SY788 @ SY1254 @ SV25 ) )
| ~ ~ ( SY1254 @ ( sK22_SY788 @ SY1254 @ SV25 ) ) )
| ! [SY1255: $i] :
( ~ ( a @ SV25 @ SY1255 )
| ( SY1254 @ SY1255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(183,plain,
! [SV26: $i] :
( ( ! [SY1256: $i > $o] :
( ~ ( ~ ( fool @ SV26 @ ( sK21_SY751 @ SY1256 @ SV26 ) )
| ~ ~ ( SY1256 @ ( sK21_SY751 @ SY1256 @ SV26 ) ) )
| ! [SY1257: $i] :
( ~ ( b @ SV26 @ SY1257 )
| ( SY1256 @ SY1257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(184,plain,
! [SV27: $i] :
( ( ! [SY1258: $i > $o] :
( ~ ( ~ ( c @ SV27 @ ( sK14_SY435 @ SY1258 @ SV27 ) )
| ~ ~ ( SY1258 @ ( sK14_SY435 @ SY1258 @ SV27 ) ) )
| ! [SY1259: $i] :
( ~ ( b @ SV27 @ SY1259 )
| ! [SX3: $i] :
( ~ ( c @ SY1259 @ SX3 )
| ( SY1258 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(185,plain,
! [SV28: $i] :
( ( ! [SY1261: $i > $o] :
( ~ ( ~ ( fool @ SV28 @ ( sK24_SY865 @ SY1261 @ SV28 ) )
| ~ ~ ( SY1261 @ ( sK24_SY865 @ SY1261 @ SV28 ) ) )
| ( SY1261 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(186,plain,
! [SV29: $i] :
( ( ! [SY1262: $i > $o] :
( ~ ( ~ ( b @ SV29 @ ( sK16_SY531 @ SY1262 @ SV29 ) )
| ~ ~ ( SY1262 @ ( sK16_SY531 @ SY1262 @ SV29 ) ) )
| ! [SY1263: $i] :
( ~ ( c @ SV29 @ SY1263 )
| ! [SX3: $i] :
( ~ ( b @ SY1263 @ SX3 )
| ( SY1262 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(187,plain,
! [SV30: $i] :
( ( ! [SY1265: $i] :
( ~ ( priorG @ SV30 @ SY1265 )
| ! [SY1266: $i] :
( ~ ( priorG @ SY1265 @ SY1266 )
| ~ ( ~ ( b @ SY1266 @ ( sK6_SY51 @ SY1266 @ SY1265 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SY1266 @ SY1265 @ SV30 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(188,plain,
! [SV31: $i] :
( ( ! [SY1267: $i > $o] :
( ~ ( ~ ( a @ SV31 @ ( sK19_SY675 @ SY1267 @ SV31 ) )
| ~ ~ ( SY1267 @ ( sK19_SY675 @ SY1267 @ SV31 ) ) )
| ! [SY1268: $i] :
( ~ ( b @ SV31 @ SY1268 )
| ! [SX3: $i] :
( ~ ( a @ SY1268 @ SX3 )
| ( SY1267 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(189,plain,
! [SV32: $i] :
( ( ! [SY1270: $i > $o] :
( ! [SY1271: $i] :
( ~ ( b @ SV32 @ SY1271 )
| ( SY1270 @ SY1271 ) )
| ! [SY1272: $i] :
( ~ ( c @ SV32 @ SY1272 )
| ~ ( ~ ( b @ SY1272 @ ( sK10_SY225 @ SY1272 @ SY1270 @ SV32 ) )
| ~ ~ ( SY1270 @ ( sK10_SY225 @ SY1272 @ SY1270 @ SV32 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(190,plain,
! [SV33: $i] :
( ( ! [SY1273: $i > $o] :
( ~ ( ~ ( b @ SV33 @ ( sK17_SY579 @ SY1273 @ SV33 ) )
| ~ ~ ( SY1273 @ ( sK17_SY579 @ SY1273 @ SV33 ) ) )
| ! [SY1274: $i] :
( ~ ( a @ SV33 @ SY1274 )
| ! [SX3: $i] :
( ~ ( b @ SY1274 @ SX3 )
| ( SY1273 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(191,plain,
! [SV34: $i] :
( ( ! [SY1276: $i > $o] :
( ~ ( ~ ( fool @ SV34 @ ( sK20_SY714 @ SY1276 @ SV34 ) )
| ~ ~ ( SY1276 @ ( sK20_SY714 @ SY1276 @ SV34 ) ) )
| ! [SY1277: $i] :
( ~ ( c @ SV34 @ SY1277 )
| ( SY1276 @ SY1277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(192,plain,
! [SV1: $i] :
( ( priorG @ SV1 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(193,plain,
! [SV35: $i,SV2: $i] :
( ( ! [SY1278: $i] :
( ~ ( priorG @ SV2 @ SV35 )
| ~ ( priorG @ SV35 @ SY1278 )
| ( priorG @ SV2 @ SY1278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(194,plain,
! [SV36: $i,SV3: $i] :
( ( ~ ( fool @ SV3 @ SV36 )
| ( ws @ a @ SV36 )
| ( ws @ b @ SV36 )
| ( ws @ c @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(195,plain,
! [SV37: $i,SV4: $i] :
( ( ~ ( fool @ SV4 @ SV37 )
| ~ ( ws @ a @ SV37 )
| ! [SY1279: $i] :
( ~ ( b @ SV37 @ SY1279 )
| ( ws @ a @ SY1279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(196,plain,
! [SV38: $i,SV5: $i] :
( ( ~ ( fool @ SV5 @ SV38 )
| ~ ( ws @ a @ SV38 )
| ! [SY1280: $i] :
( ~ ( c @ SV38 @ SY1280 )
| ( ws @ a @ SY1280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(197,plain,
! [SV39: $i,SV6: $i] :
( ( ~ ( fool @ SV6 @ SV39 )
| ~ ( ws @ b @ SV39 )
| ! [SY1281: $i] :
( ~ ( a @ SV39 @ SY1281 )
| ( ws @ b @ SY1281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(198,plain,
! [SV40: $i,SV7: $i] :
( ( ~ ( fool @ SV7 @ SV40 )
| ~ ( ws @ b @ SV40 )
| ! [SY1282: $i] :
( ~ ( c @ SV40 @ SY1282 )
| ( ws @ b @ SY1282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(199,plain,
! [SV41: $i,SV8: $i] :
( ( ~ ( fool @ SV8 @ SV41 )
| ~ ( ws @ c @ SV41 )
| ! [SY1283: $i] :
( ~ ( a @ SV41 @ SY1283 )
| ( ws @ c @ SY1283 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(200,plain,
! [SV42: $i,SV9: $i] :
( ( ~ ( fool @ SV9 @ SV42 )
| ~ ( ws @ c @ SV42 )
| ! [SY1284: $i] :
( ~ ( b @ SV42 @ SY1284 )
| ( ws @ c @ SY1284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(201,plain,
! [SV43: $i,SV10: $i] :
( ( ~ ( fool @ SV10 @ SV43 )
| ( ws @ a @ SV43 )
| ! [SY1285: $i] :
( ~ ( b @ SV43 @ SY1285 )
| ~ ( ws @ a @ SY1285 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(202,plain,
! [SV44: $i,SV11: $i] :
( ( ~ ( fool @ SV11 @ SV44 )
| ( ws @ a @ SV44 )
| ! [SY1286: $i] :
( ~ ( c @ SV44 @ SY1286 )
| ~ ( ws @ a @ SY1286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(203,plain,
! [SV45: $i,SV12: $i] :
( ( ~ ( fool @ SV12 @ SV45 )
| ( ws @ b @ SV45 )
| ! [SY1287: $i] :
( ~ ( a @ SV45 @ SY1287 )
| ~ ( ws @ b @ SY1287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(204,plain,
! [SV46: $i,SV13: $i] :
( ( ~ ( fool @ SV13 @ SV46 )
| ( ws @ b @ SV46 )
| ! [SY1288: $i] :
( ~ ( c @ SV46 @ SY1288 )
| ~ ( ws @ b @ SY1288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(205,plain,
! [SV47: $i,SV14: $i] :
( ( ~ ( fool @ SV14 @ SV47 )
| ( ws @ c @ SV47 )
| ! [SY1289: $i] :
( ~ ( a @ SV47 @ SY1289 )
| ~ ( ws @ c @ SY1289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(206,plain,
! [SV48: $i,SV15: $i] :
( ( ~ ( fool @ SV15 @ SV48 )
| ( ws @ c @ SV48 )
| ! [SY1290: $i] :
( ~ ( b @ SV48 @ SY1290 )
| ~ ( ws @ c @ SY1290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(207,plain,
! [SV49: $i > $o,SV16: $i] :
( ( ~ ( ~ ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
| ~ ~ ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) ) )
| ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(208,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ! [SY1293: $i] :
( ~ ( c @ SV17 @ SY1293 )
| ( SV50 @ SY1293 ) )
| ! [SY1294: $i] :
( ~ ( a @ SV17 @ SY1294 )
| ~ ( ~ ( c @ SY1294 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(209,plain,
! [SV51: $i,SV18: $i] :
( ( ~ ( priorG @ SV18 @ SV51 )
| ~ ( ~ ( a @ SV51 @ ( sK7_SY76 @ SV51 @ SV18 ) )
| ~ ~ ( ws @ a @ ( sK7_SY76 @ SV51 @ SV18 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(210,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ! [SY1295: $i] :
( ~ ( a @ SV19 @ SY1295 )
| ( SV52 @ SY1295 ) )
| ! [SY1296: $i] :
( ~ ( b @ SV19 @ SY1296 )
| ~ ( ~ ( a @ SY1296 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(211,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ~ ( ~ ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
| ~ ~ ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) ) )
| ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(212,plain,
! [SV54: $i > $o,SV21: $i] :
( ( ! [SY1299: $i] :
( ~ ( c @ SV21 @ SY1299 )
| ( SV54 @ SY1299 ) )
| ! [SY1300: $i] :
( ~ ( b @ SV21 @ SY1300 )
| ~ ( ~ ( c @ SY1300 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(213,plain,
! [SV55: $i > $o,SV22: $i] :
( ( ! [SY1301: $i] :
( ~ ( b @ SV22 @ SY1301 )
| ( SV55 @ SY1301 ) )
| ! [SY1302: $i] :
( ~ ( a @ SV22 @ SY1302 )
| ~ ( ~ ( b @ SY1302 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(214,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ! [SY1303: $i] :
( ~ ( a @ SV23 @ SY1303 )
| ( SV56 @ SY1303 ) )
| ! [SY1304: $i] :
( ~ ( c @ SV23 @ SY1304 )
| ~ ( ~ ( a @ SY1304 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(215,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ~ ( ~ ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
| ~ ~ ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) ) )
| ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(216,plain,
( ( ~ ( priorG @ sK1_SY26 @ sK2_SY1192 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(217,plain,
( ( ~ ~ ( ~ ( priorG @ sK2_SY1192 @ sK3_SY1196 )
| ~ ~ ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[181]) ).
thf(218,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ~ ( ~ ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) )
| ~ ~ ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) ) )
| ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(219,plain,
! [SV59: $i > $o,SV26: $i] :
( ( ~ ( ~ ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) )
| ~ ~ ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) ) )
| ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(220,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ~ ( ~ ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
| ~ ~ ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) ) )
| ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(221,plain,
! [SV61: $i > $o,SV28: $i] :
( ( ~ ( ~ ( fool @ SV28 @ ( sK24_SY865 @ SV61 @ SV28 ) )
| ~ ~ ( SV61 @ ( sK24_SY865 @ SV61 @ SV28 ) ) )
| ( SV61 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(222,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ~ ( ~ ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
| ~ ~ ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) ) )
| ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(223,plain,
! [SV63: $i,SV30: $i] :
( ( ~ ( priorG @ SV30 @ SV63 )
| ! [SY1313: $i] :
( ~ ( priorG @ SV63 @ SY1313 )
| ~ ( ~ ( b @ SY1313 @ ( sK6_SY51 @ SY1313 @ SV63 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SY1313 @ SV63 @ SV30 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(224,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ~ ( ~ ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
| ~ ~ ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) ) )
| ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(225,plain,
! [SV65: $i > $o,SV32: $i] :
( ( ! [SY1316: $i] :
( ~ ( b @ SV32 @ SY1316 )
| ( SV65 @ SY1316 ) )
| ! [SY1317: $i] :
( ~ ( c @ SV32 @ SY1317 )
| ~ ( ~ ( b @ SY1317 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(226,plain,
! [SV66: $i > $o,SV33: $i] :
( ( ~ ( ~ ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
| ~ ~ ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) ) )
| ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(227,plain,
! [SV67: $i > $o,SV34: $i] :
( ( ~ ( ~ ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) )
| ~ ~ ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) ) )
| ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(228,plain,
! [SV68: $i,SV35: $i,SV2: $i] :
( ( ~ ( priorG @ SV2 @ SV35 )
| ~ ( priorG @ SV35 @ SV68 )
| ( priorG @ SV2 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(229,plain,
! [SV36: $i,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ SV36 ) )
= $true )
| ( ( ( ws @ a @ SV36 )
| ( ws @ b @ SV36 )
| ( ws @ c @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(230,plain,
! [SV37: $i,SV4: $i] :
( ( ( ~ ( fool @ SV4 @ SV37 ) )
= $true )
| ( ( ~ ( ws @ a @ SV37 )
| ! [SY1279: $i] :
( ~ ( b @ SV37 @ SY1279 )
| ( ws @ a @ SY1279 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(231,plain,
! [SV38: $i,SV5: $i] :
( ( ( ~ ( fool @ SV5 @ SV38 ) )
= $true )
| ( ( ~ ( ws @ a @ SV38 )
| ! [SY1280: $i] :
( ~ ( c @ SV38 @ SY1280 )
| ( ws @ a @ SY1280 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(232,plain,
! [SV39: $i,SV6: $i] :
( ( ( ~ ( fool @ SV6 @ SV39 ) )
= $true )
| ( ( ~ ( ws @ b @ SV39 )
| ! [SY1281: $i] :
( ~ ( a @ SV39 @ SY1281 )
| ( ws @ b @ SY1281 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(233,plain,
! [SV40: $i,SV7: $i] :
( ( ( ~ ( fool @ SV7 @ SV40 ) )
= $true )
| ( ( ~ ( ws @ b @ SV40 )
| ! [SY1282: $i] :
( ~ ( c @ SV40 @ SY1282 )
| ( ws @ b @ SY1282 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(234,plain,
! [SV41: $i,SV8: $i] :
( ( ( ~ ( fool @ SV8 @ SV41 ) )
= $true )
| ( ( ~ ( ws @ c @ SV41 )
| ! [SY1283: $i] :
( ~ ( a @ SV41 @ SY1283 )
| ( ws @ c @ SY1283 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(235,plain,
! [SV42: $i,SV9: $i] :
( ( ( ~ ( fool @ SV9 @ SV42 ) )
= $true )
| ( ( ~ ( ws @ c @ SV42 )
| ! [SY1284: $i] :
( ~ ( b @ SV42 @ SY1284 )
| ( ws @ c @ SY1284 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(236,plain,
! [SV43: $i,SV10: $i] :
( ( ( ~ ( fool @ SV10 @ SV43 ) )
= $true )
| ( ( ( ws @ a @ SV43 )
| ! [SY1285: $i] :
( ~ ( b @ SV43 @ SY1285 )
| ~ ( ws @ a @ SY1285 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(237,plain,
! [SV44: $i,SV11: $i] :
( ( ( ~ ( fool @ SV11 @ SV44 ) )
= $true )
| ( ( ( ws @ a @ SV44 )
| ! [SY1286: $i] :
( ~ ( c @ SV44 @ SY1286 )
| ~ ( ws @ a @ SY1286 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(238,plain,
! [SV45: $i,SV12: $i] :
( ( ( ~ ( fool @ SV12 @ SV45 ) )
= $true )
| ( ( ( ws @ b @ SV45 )
| ! [SY1287: $i] :
( ~ ( a @ SV45 @ SY1287 )
| ~ ( ws @ b @ SY1287 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(239,plain,
! [SV46: $i,SV13: $i] :
( ( ( ~ ( fool @ SV13 @ SV46 ) )
= $true )
| ( ( ( ws @ b @ SV46 )
| ! [SY1288: $i] :
( ~ ( c @ SV46 @ SY1288 )
| ~ ( ws @ b @ SY1288 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(240,plain,
! [SV47: $i,SV14: $i] :
( ( ( ~ ( fool @ SV14 @ SV47 ) )
= $true )
| ( ( ( ws @ c @ SV47 )
| ! [SY1289: $i] :
( ~ ( a @ SV47 @ SY1289 )
| ~ ( ws @ c @ SY1289 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(241,plain,
! [SV48: $i,SV15: $i] :
( ( ( ~ ( fool @ SV15 @ SV48 ) )
= $true )
| ( ( ( ws @ c @ SV48 )
| ! [SY1290: $i] :
( ~ ( b @ SV48 @ SY1290 )
| ~ ( ws @ c @ SY1290 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(242,plain,
! [SV49: $i > $o,SV16: $i] :
( ( ( ~ ( ~ ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
| ~ ~ ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) ) ) )
= $true )
| ( ( ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(243,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ( ! [SY1293: $i] :
( ~ ( c @ SV17 @ SY1293 )
| ( SV50 @ SY1293 ) ) )
= $true )
| ( ( ! [SY1294: $i] :
( ~ ( a @ SV17 @ SY1294 )
| ~ ( ~ ( c @ SY1294 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(244,plain,
! [SV51: $i,SV18: $i] :
( ( ( ~ ( priorG @ SV18 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ( a @ SV51 @ ( sK7_SY76 @ SV51 @ SV18 ) )
| ~ ~ ( ws @ a @ ( sK7_SY76 @ SV51 @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(245,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ( ! [SY1295: $i] :
( ~ ( a @ SV19 @ SY1295 )
| ( SV52 @ SY1295 ) ) )
= $true )
| ( ( ! [SY1296: $i] :
( ~ ( b @ SV19 @ SY1296 )
| ~ ( ~ ( a @ SY1296 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(246,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ( ~ ( ~ ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
| ~ ~ ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) ) ) )
= $true )
| ( ( ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(247,plain,
! [SV54: $i > $o,SV21: $i] :
( ( ( ! [SY1299: $i] :
( ~ ( c @ SV21 @ SY1299 )
| ( SV54 @ SY1299 ) ) )
= $true )
| ( ( ! [SY1300: $i] :
( ~ ( b @ SV21 @ SY1300 )
| ~ ( ~ ( c @ SY1300 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(248,plain,
! [SV55: $i > $o,SV22: $i] :
( ( ( ! [SY1301: $i] :
( ~ ( b @ SV22 @ SY1301 )
| ( SV55 @ SY1301 ) ) )
= $true )
| ( ( ! [SY1302: $i] :
( ~ ( a @ SV22 @ SY1302 )
| ~ ( ~ ( b @ SY1302 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(249,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ( ! [SY1303: $i] :
( ~ ( a @ SV23 @ SY1303 )
| ( SV56 @ SY1303 ) ) )
= $true )
| ( ( ! [SY1304: $i] :
( ~ ( c @ SV23 @ SY1304 )
| ~ ( ~ ( a @ SY1304 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(250,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ( ~ ( ~ ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
| ~ ~ ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) ) ) )
= $true )
| ( ( ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(251,plain,
( ( priorG @ sK1_SY26 @ sK2_SY1192 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(252,plain,
( ( ~ ( ~ ( priorG @ sK2_SY1192 @ sK3_SY1196 )
| ~ ~ ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[217]) ).
thf(253,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( ~ ( ~ ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) )
| ~ ~ ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) ) ) )
= $true )
| ( ( ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(254,plain,
! [SV59: $i > $o,SV26: $i] :
( ( ( ~ ( ~ ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) )
| ~ ~ ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) ) ) )
= $true )
| ( ( ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(255,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( ~ ( ~ ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
| ~ ~ ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) ) ) )
= $true )
| ( ( ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(256,plain,
! [SV61: $i > $o,SV28: $i] :
( ( ( ~ ( ~ ( fool @ SV28 @ ( sK24_SY865 @ SV61 @ SV28 ) )
| ~ ~ ( SV61 @ ( sK24_SY865 @ SV61 @ SV28 ) ) ) )
= $true )
| ( ( SV61 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(257,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ( ~ ( ~ ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
| ~ ~ ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) ) ) )
= $true )
| ( ( ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(258,plain,
! [SV63: $i,SV30: $i] :
( ( ( ~ ( priorG @ SV30 @ SV63 ) )
= $true )
| ( ( ! [SY1313: $i] :
( ~ ( priorG @ SV63 @ SY1313 )
| ~ ( ~ ( b @ SY1313 @ ( sK6_SY51 @ SY1313 @ SV63 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SY1313 @ SV63 @ SV30 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(259,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( ~ ( ~ ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
| ~ ~ ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) ) ) )
= $true )
| ( ( ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(260,plain,
! [SV65: $i > $o,SV32: $i] :
( ( ( ! [SY1316: $i] :
( ~ ( b @ SV32 @ SY1316 )
| ( SV65 @ SY1316 ) ) )
= $true )
| ( ( ! [SY1317: $i] :
( ~ ( c @ SV32 @ SY1317 )
| ~ ( ~ ( b @ SY1317 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(261,plain,
! [SV66: $i > $o,SV33: $i] :
( ( ( ~ ( ~ ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
| ~ ~ ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) ) ) )
= $true )
| ( ( ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(262,plain,
! [SV67: $i > $o,SV34: $i] :
( ( ( ~ ( ~ ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) )
| ~ ~ ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) ) ) )
= $true )
| ( ( ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(263,plain,
! [SV68: $i,SV35: $i,SV2: $i] :
( ( ( ~ ( priorG @ SV2 @ SV35 )
| ~ ( priorG @ SV35 @ SV68 ) )
= $true )
| ( ( priorG @ SV2 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(264,plain,
! [SV36: $i,SV3: $i] :
( ( ( fool @ SV3 @ SV36 )
= $false )
| ( ( ( ws @ a @ SV36 )
| ( ws @ b @ SV36 )
| ( ws @ c @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(265,plain,
! [SV37: $i,SV4: $i] :
( ( ( fool @ SV4 @ SV37 )
= $false )
| ( ( ~ ( ws @ a @ SV37 )
| ! [SY1279: $i] :
( ~ ( b @ SV37 @ SY1279 )
| ( ws @ a @ SY1279 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(266,plain,
! [SV38: $i,SV5: $i] :
( ( ( fool @ SV5 @ SV38 )
= $false )
| ( ( ~ ( ws @ a @ SV38 )
| ! [SY1280: $i] :
( ~ ( c @ SV38 @ SY1280 )
| ( ws @ a @ SY1280 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(267,plain,
! [SV39: $i,SV6: $i] :
( ( ( fool @ SV6 @ SV39 )
= $false )
| ( ( ~ ( ws @ b @ SV39 )
| ! [SY1281: $i] :
( ~ ( a @ SV39 @ SY1281 )
| ( ws @ b @ SY1281 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(268,plain,
! [SV40: $i,SV7: $i] :
( ( ( fool @ SV7 @ SV40 )
= $false )
| ( ( ~ ( ws @ b @ SV40 )
| ! [SY1282: $i] :
( ~ ( c @ SV40 @ SY1282 )
| ( ws @ b @ SY1282 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(269,plain,
! [SV41: $i,SV8: $i] :
( ( ( fool @ SV8 @ SV41 )
= $false )
| ( ( ~ ( ws @ c @ SV41 )
| ! [SY1283: $i] :
( ~ ( a @ SV41 @ SY1283 )
| ( ws @ c @ SY1283 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(270,plain,
! [SV42: $i,SV9: $i] :
( ( ( fool @ SV9 @ SV42 )
= $false )
| ( ( ~ ( ws @ c @ SV42 )
| ! [SY1284: $i] :
( ~ ( b @ SV42 @ SY1284 )
| ( ws @ c @ SY1284 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[235]) ).
thf(271,plain,
! [SV43: $i,SV10: $i] :
( ( ( fool @ SV10 @ SV43 )
= $false )
| ( ( ( ws @ a @ SV43 )
| ! [SY1285: $i] :
( ~ ( b @ SV43 @ SY1285 )
| ~ ( ws @ a @ SY1285 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(272,plain,
! [SV44: $i,SV11: $i] :
( ( ( fool @ SV11 @ SV44 )
= $false )
| ( ( ( ws @ a @ SV44 )
| ! [SY1286: $i] :
( ~ ( c @ SV44 @ SY1286 )
| ~ ( ws @ a @ SY1286 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(273,plain,
! [SV45: $i,SV12: $i] :
( ( ( fool @ SV12 @ SV45 )
= $false )
| ( ( ( ws @ b @ SV45 )
| ! [SY1287: $i] :
( ~ ( a @ SV45 @ SY1287 )
| ~ ( ws @ b @ SY1287 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(274,plain,
! [SV46: $i,SV13: $i] :
( ( ( fool @ SV13 @ SV46 )
= $false )
| ( ( ( ws @ b @ SV46 )
| ! [SY1288: $i] :
( ~ ( c @ SV46 @ SY1288 )
| ~ ( ws @ b @ SY1288 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(275,plain,
! [SV47: $i,SV14: $i] :
( ( ( fool @ SV14 @ SV47 )
= $false )
| ( ( ( ws @ c @ SV47 )
| ! [SY1289: $i] :
( ~ ( a @ SV47 @ SY1289 )
| ~ ( ws @ c @ SY1289 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(276,plain,
! [SV48: $i,SV15: $i] :
( ( ( fool @ SV15 @ SV48 )
= $false )
| ( ( ( ws @ c @ SV48 )
| ! [SY1290: $i] :
( ~ ( b @ SV48 @ SY1290 )
| ~ ( ws @ c @ SY1290 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(277,plain,
! [SV49: $i > $o,SV16: $i] :
( ( ( ~ ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
| ~ ~ ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) ) )
= $false )
| ( ( ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(278,plain,
! [SV50: $i > $o,SV69: $i,SV17: $i] :
( ( ( ~ ( c @ SV17 @ SV69 )
| ( SV50 @ SV69 ) )
= $true )
| ( ( ! [SY1294: $i] :
( ~ ( a @ SV17 @ SY1294 )
| ~ ( ~ ( c @ SY1294 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(279,plain,
! [SV51: $i,SV18: $i] :
( ( ( priorG @ SV18 @ SV51 )
= $false )
| ( ( ~ ( ~ ( a @ SV51 @ ( sK7_SY76 @ SV51 @ SV18 ) )
| ~ ~ ( ws @ a @ ( sK7_SY76 @ SV51 @ SV18 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(280,plain,
! [SV52: $i > $o,SV70: $i,SV19: $i] :
( ( ( ~ ( a @ SV19 @ SV70 )
| ( SV52 @ SV70 ) )
= $true )
| ( ( ! [SY1296: $i] :
( ~ ( b @ SV19 @ SY1296 )
| ~ ( ~ ( a @ SY1296 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(281,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ( ~ ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
| ~ ~ ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) ) )
= $false )
| ( ( ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(282,plain,
! [SV54: $i > $o,SV71: $i,SV21: $i] :
( ( ( ~ ( c @ SV21 @ SV71 )
| ( SV54 @ SV71 ) )
= $true )
| ( ( ! [SY1300: $i] :
( ~ ( b @ SV21 @ SY1300 )
| ~ ( ~ ( c @ SY1300 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(283,plain,
! [SV55: $i > $o,SV72: $i,SV22: $i] :
( ( ( ~ ( b @ SV22 @ SV72 )
| ( SV55 @ SV72 ) )
= $true )
| ( ( ! [SY1302: $i] :
( ~ ( a @ SV22 @ SY1302 )
| ~ ( ~ ( b @ SY1302 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(284,plain,
! [SV56: $i > $o,SV73: $i,SV23: $i] :
( ( ( ~ ( a @ SV23 @ SV73 )
| ( SV56 @ SV73 ) )
= $true )
| ( ( ! [SY1304: $i] :
( ~ ( c @ SV23 @ SY1304 )
| ~ ( ~ ( a @ SY1304 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(285,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ( ~ ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
| ~ ~ ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) ) )
= $false )
| ( ( ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(286,plain,
( ( ~ ( priorG @ sK2_SY1192 @ sK3_SY1196 )
| ~ ~ ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(287,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( ~ ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) )
| ~ ~ ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) ) )
= $false )
| ( ( ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(288,plain,
! [SV59: $i > $o,SV26: $i] :
( ( ( ~ ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) )
| ~ ~ ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) ) )
= $false )
| ( ( ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(289,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( ~ ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
| ~ ~ ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) ) )
= $false )
| ( ( ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(290,plain,
! [SV61: $i > $o,SV28: $i] :
( ( ( ~ ( fool @ SV28 @ ( sK24_SY865 @ SV61 @ SV28 ) )
| ~ ~ ( SV61 @ ( sK24_SY865 @ SV61 @ SV28 ) ) )
= $false )
| ( ( SV61 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(291,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ( ~ ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
| ~ ~ ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) ) )
= $false )
| ( ( ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(292,plain,
! [SV63: $i,SV30: $i] :
( ( ( priorG @ SV30 @ SV63 )
= $false )
| ( ( ! [SY1313: $i] :
( ~ ( priorG @ SV63 @ SY1313 )
| ~ ( ~ ( b @ SY1313 @ ( sK6_SY51 @ SY1313 @ SV63 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SY1313 @ SV63 @ SV30 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(293,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( ~ ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
| ~ ~ ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) ) )
= $false )
| ( ( ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(294,plain,
! [SV65: $i > $o,SV74: $i,SV32: $i] :
( ( ( ~ ( b @ SV32 @ SV74 )
| ( SV65 @ SV74 ) )
= $true )
| ( ( ! [SY1317: $i] :
( ~ ( c @ SV32 @ SY1317 )
| ~ ( ~ ( b @ SY1317 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(295,plain,
! [SV66: $i > $o,SV33: $i] :
( ( ( ~ ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
| ~ ~ ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) ) )
= $false )
| ( ( ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(296,plain,
! [SV67: $i > $o,SV34: $i] :
( ( ( ~ ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) )
| ~ ~ ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) ) )
= $false )
| ( ( ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(297,plain,
! [SV68: $i,SV35: $i,SV2: $i] :
( ( ( ~ ( priorG @ SV2 @ SV35 ) )
= $true )
| ( ( ~ ( priorG @ SV35 @ SV68 ) )
= $true )
| ( ( priorG @ SV2 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(298,plain,
! [SV3: $i,SV36: $i] :
( ( ( ws @ a @ SV36 )
= $true )
| ( ( ( ws @ b @ SV36 )
| ( ws @ c @ SV36 ) )
= $true )
| ( ( fool @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(299,plain,
! [SV4: $i,SV37: $i] :
( ( ( ~ ( ws @ a @ SV37 ) )
= $true )
| ( ( ! [SY1279: $i] :
( ~ ( b @ SV37 @ SY1279 )
| ( ws @ a @ SY1279 ) ) )
= $true )
| ( ( fool @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(300,plain,
! [SV5: $i,SV38: $i] :
( ( ( ~ ( ws @ a @ SV38 ) )
= $true )
| ( ( ! [SY1280: $i] :
( ~ ( c @ SV38 @ SY1280 )
| ( ws @ a @ SY1280 ) ) )
= $true )
| ( ( fool @ SV5 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(301,plain,
! [SV6: $i,SV39: $i] :
( ( ( ~ ( ws @ b @ SV39 ) )
= $true )
| ( ( ! [SY1281: $i] :
( ~ ( a @ SV39 @ SY1281 )
| ( ws @ b @ SY1281 ) ) )
= $true )
| ( ( fool @ SV6 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(302,plain,
! [SV7: $i,SV40: $i] :
( ( ( ~ ( ws @ b @ SV40 ) )
= $true )
| ( ( ! [SY1282: $i] :
( ~ ( c @ SV40 @ SY1282 )
| ( ws @ b @ SY1282 ) ) )
= $true )
| ( ( fool @ SV7 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(303,plain,
! [SV8: $i,SV41: $i] :
( ( ( ~ ( ws @ c @ SV41 ) )
= $true )
| ( ( ! [SY1283: $i] :
( ~ ( a @ SV41 @ SY1283 )
| ( ws @ c @ SY1283 ) ) )
= $true )
| ( ( fool @ SV8 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(304,plain,
! [SV9: $i,SV42: $i] :
( ( ( ~ ( ws @ c @ SV42 ) )
= $true )
| ( ( ! [SY1284: $i] :
( ~ ( b @ SV42 @ SY1284 )
| ( ws @ c @ SY1284 ) ) )
= $true )
| ( ( fool @ SV9 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(305,plain,
! [SV10: $i,SV43: $i] :
( ( ( ws @ a @ SV43 )
= $true )
| ( ( ! [SY1285: $i] :
( ~ ( b @ SV43 @ SY1285 )
| ~ ( ws @ a @ SY1285 ) ) )
= $true )
| ( ( fool @ SV10 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(306,plain,
! [SV11: $i,SV44: $i] :
( ( ( ws @ a @ SV44 )
= $true )
| ( ( ! [SY1286: $i] :
( ~ ( c @ SV44 @ SY1286 )
| ~ ( ws @ a @ SY1286 ) ) )
= $true )
| ( ( fool @ SV11 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(307,plain,
! [SV12: $i,SV45: $i] :
( ( ( ws @ b @ SV45 )
= $true )
| ( ( ! [SY1287: $i] :
( ~ ( a @ SV45 @ SY1287 )
| ~ ( ws @ b @ SY1287 ) ) )
= $true )
| ( ( fool @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(308,plain,
! [SV13: $i,SV46: $i] :
( ( ( ws @ b @ SV46 )
= $true )
| ( ( ! [SY1288: $i] :
( ~ ( c @ SV46 @ SY1288 )
| ~ ( ws @ b @ SY1288 ) ) )
= $true )
| ( ( fool @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(309,plain,
! [SV14: $i,SV47: $i] :
( ( ( ws @ c @ SV47 )
= $true )
| ( ( ! [SY1289: $i] :
( ~ ( a @ SV47 @ SY1289 )
| ~ ( ws @ c @ SY1289 ) ) )
= $true )
| ( ( fool @ SV14 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(310,plain,
! [SV15: $i,SV48: $i] :
( ( ( ws @ c @ SV48 )
= $true )
| ( ( ! [SY1290: $i] :
( ~ ( b @ SV48 @ SY1290 )
| ~ ( ws @ c @ SY1290 ) ) )
= $true )
| ( ( fool @ SV15 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(311,plain,
! [SV49: $i > $o,SV16: $i] :
( ( ( ~ ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) ) )
= $false )
| ( ( ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(312,plain,
! [SV16: $i,SV49: $i > $o] :
( ( ( ~ ~ ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) ) )
= $false )
| ( ( ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(313,plain,
! [SV50: $i > $o,SV69: $i,SV17: $i] :
( ( ( ~ ( c @ SV17 @ SV69 ) )
= $true )
| ( ( SV50 @ SV69 )
= $true )
| ( ( ! [SY1294: $i] :
( ~ ( a @ SV17 @ SY1294 )
| ~ ( ~ ( c @ SY1294 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(314,plain,
! [SV18: $i,SV51: $i] :
( ( ( ~ ( a @ SV51 @ ( sK7_SY76 @ SV51 @ SV18 ) )
| ~ ~ ( ws @ a @ ( sK7_SY76 @ SV51 @ SV18 ) ) )
= $false )
| ( ( priorG @ SV18 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(315,plain,
! [SV52: $i > $o,SV70: $i,SV19: $i] :
( ( ( ~ ( a @ SV19 @ SV70 ) )
= $true )
| ( ( SV52 @ SV70 )
= $true )
| ( ( ! [SY1296: $i] :
( ~ ( b @ SV19 @ SY1296 )
| ~ ( ~ ( a @ SY1296 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(316,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ( ~ ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) ) )
= $false )
| ( ( ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(317,plain,
! [SV20: $i,SV53: $i > $o] :
( ( ( ~ ~ ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) ) )
= $false )
| ( ( ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[281]) ).
thf(318,plain,
! [SV54: $i > $o,SV71: $i,SV21: $i] :
( ( ( ~ ( c @ SV21 @ SV71 ) )
= $true )
| ( ( SV54 @ SV71 )
= $true )
| ( ( ! [SY1300: $i] :
( ~ ( b @ SV21 @ SY1300 )
| ~ ( ~ ( c @ SY1300 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(319,plain,
! [SV55: $i > $o,SV72: $i,SV22: $i] :
( ( ( ~ ( b @ SV22 @ SV72 ) )
= $true )
| ( ( SV55 @ SV72 )
= $true )
| ( ( ! [SY1302: $i] :
( ~ ( a @ SV22 @ SY1302 )
| ~ ( ~ ( b @ SY1302 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(320,plain,
! [SV56: $i > $o,SV73: $i,SV23: $i] :
( ( ( ~ ( a @ SV23 @ SV73 ) )
= $true )
| ( ( SV56 @ SV73 )
= $true )
| ( ( ! [SY1304: $i] :
( ~ ( c @ SV23 @ SY1304 )
| ~ ( ~ ( a @ SY1304 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(321,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ( ~ ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) ) )
= $false )
| ( ( ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(322,plain,
! [SV24: $i,SV57: $i > $o] :
( ( ( ~ ~ ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) ) )
= $false )
| ( ( ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[285]) ).
thf(323,plain,
( ( ~ ( priorG @ sK2_SY1192 @ sK3_SY1196 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(324,plain,
( ( ~ ~ ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(325,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( ~ ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) ) )
= $false )
| ( ( ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(326,plain,
! [SV25: $i,SV58: $i > $o] :
( ( ( ~ ~ ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) ) )
= $false )
| ( ( ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[287]) ).
thf(327,plain,
! [SV59: $i > $o,SV26: $i] :
( ( ( ~ ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) ) )
= $false )
| ( ( ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(328,plain,
! [SV26: $i,SV59: $i > $o] :
( ( ( ~ ~ ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) ) )
= $false )
| ( ( ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(329,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( ~ ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) ) )
= $false )
| ( ( ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(330,plain,
! [SV27: $i,SV60: $i > $o] :
( ( ( ~ ~ ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) ) )
= $false )
| ( ( ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(331,plain,
! [SV61: $i > $o,SV28: $i] :
( ( ( ~ ( fool @ SV28 @ ( sK24_SY865 @ SV61 @ SV28 ) ) )
= $false )
| ( ( SV61 @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(332,plain,
! [SV28: $i,SV61: $i > $o] :
( ( ( ~ ~ ( SV61 @ ( sK24_SY865 @ SV61 @ SV28 ) ) )
= $false )
| ( ( SV61 @ SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[290]) ).
thf(333,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ( ~ ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) ) )
= $false )
| ( ( ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(334,plain,
! [SV29: $i,SV62: $i > $o] :
( ( ( ~ ~ ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) ) )
= $false )
| ( ( ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(335,plain,
! [SV30: $i,SV75: $i,SV63: $i] :
( ( ( ~ ( priorG @ SV63 @ SV75 )
| ~ ( ~ ( b @ SV75 @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) ) ) )
= $true )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(336,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( ~ ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) ) )
= $false )
| ( ( ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(337,plain,
! [SV31: $i,SV64: $i > $o] :
( ( ( ~ ~ ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) ) )
= $false )
| ( ( ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(338,plain,
! [SV65: $i > $o,SV74: $i,SV32: $i] :
( ( ( ~ ( b @ SV32 @ SV74 ) )
= $true )
| ( ( SV65 @ SV74 )
= $true )
| ( ( ! [SY1317: $i] :
( ~ ( c @ SV32 @ SY1317 )
| ~ ( ~ ( b @ SY1317 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(339,plain,
! [SV66: $i > $o,SV33: $i] :
( ( ( ~ ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) ) )
= $false )
| ( ( ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(340,plain,
! [SV33: $i,SV66: $i > $o] :
( ( ( ~ ~ ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) ) )
= $false )
| ( ( ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[295]) ).
thf(341,plain,
! [SV67: $i > $o,SV34: $i] :
( ( ( ~ ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) ) )
= $false )
| ( ( ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(342,plain,
! [SV34: $i,SV67: $i > $o] :
( ( ( ~ ~ ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) ) )
= $false )
| ( ( ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(343,plain,
! [SV68: $i,SV35: $i,SV2: $i] :
( ( ( priorG @ SV2 @ SV35 )
= $false )
| ( ( ~ ( priorG @ SV35 @ SV68 ) )
= $true )
| ( ( priorG @ SV2 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(344,plain,
! [SV3: $i,SV36: $i] :
( ( ( ws @ b @ SV36 )
= $true )
| ( ( ws @ c @ SV36 )
= $true )
| ( ( ws @ a @ SV36 )
= $true )
| ( ( fool @ SV3 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(345,plain,
! [SV4: $i,SV37: $i] :
( ( ( ws @ a @ SV37 )
= $false )
| ( ( ! [SY1279: $i] :
( ~ ( b @ SV37 @ SY1279 )
| ( ws @ a @ SY1279 ) ) )
= $true )
| ( ( fool @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(346,plain,
! [SV5: $i,SV38: $i] :
( ( ( ws @ a @ SV38 )
= $false )
| ( ( ! [SY1280: $i] :
( ~ ( c @ SV38 @ SY1280 )
| ( ws @ a @ SY1280 ) ) )
= $true )
| ( ( fool @ SV5 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(347,plain,
! [SV6: $i,SV39: $i] :
( ( ( ws @ b @ SV39 )
= $false )
| ( ( ! [SY1281: $i] :
( ~ ( a @ SV39 @ SY1281 )
| ( ws @ b @ SY1281 ) ) )
= $true )
| ( ( fool @ SV6 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(348,plain,
! [SV7: $i,SV40: $i] :
( ( ( ws @ b @ SV40 )
= $false )
| ( ( ! [SY1282: $i] :
( ~ ( c @ SV40 @ SY1282 )
| ( ws @ b @ SY1282 ) ) )
= $true )
| ( ( fool @ SV7 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(349,plain,
! [SV8: $i,SV41: $i] :
( ( ( ws @ c @ SV41 )
= $false )
| ( ( ! [SY1283: $i] :
( ~ ( a @ SV41 @ SY1283 )
| ( ws @ c @ SY1283 ) ) )
= $true )
| ( ( fool @ SV8 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(350,plain,
! [SV9: $i,SV42: $i] :
( ( ( ws @ c @ SV42 )
= $false )
| ( ( ! [SY1284: $i] :
( ~ ( b @ SV42 @ SY1284 )
| ( ws @ c @ SY1284 ) ) )
= $true )
| ( ( fool @ SV9 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(351,plain,
! [SV10: $i,SV76: $i,SV43: $i] :
( ( ( ~ ( b @ SV43 @ SV76 )
| ~ ( ws @ a @ SV76 ) )
= $true )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV10 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(352,plain,
! [SV11: $i,SV77: $i,SV44: $i] :
( ( ( ~ ( c @ SV44 @ SV77 )
| ~ ( ws @ a @ SV77 ) )
= $true )
| ( ( ws @ a @ SV44 )
= $true )
| ( ( fool @ SV11 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(353,plain,
! [SV12: $i,SV78: $i,SV45: $i] :
( ( ( ~ ( a @ SV45 @ SV78 )
| ~ ( ws @ b @ SV78 ) )
= $true )
| ( ( ws @ b @ SV45 )
= $true )
| ( ( fool @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(354,plain,
! [SV13: $i,SV79: $i,SV46: $i] :
( ( ( ~ ( c @ SV46 @ SV79 )
| ~ ( ws @ b @ SV79 ) )
= $true )
| ( ( ws @ b @ SV46 )
= $true )
| ( ( fool @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(355,plain,
! [SV14: $i,SV80: $i,SV47: $i] :
( ( ( ~ ( a @ SV47 @ SV80 )
| ~ ( ws @ c @ SV80 ) )
= $true )
| ( ( ws @ c @ SV47 )
= $true )
| ( ( fool @ SV14 @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(356,plain,
! [SV15: $i,SV81: $i,SV48: $i] :
( ( ( ~ ( b @ SV48 @ SV81 )
| ~ ( ws @ c @ SV81 ) )
= $true )
| ( ( ws @ c @ SV48 )
= $true )
| ( ( fool @ SV15 @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(357,plain,
! [SV49: $i > $o,SV16: $i] :
( ( ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $true )
| ( ( ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(358,plain,
! [SV16: $i,SV49: $i > $o] :
( ( ( ~ ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) ) )
= $true )
| ( ( ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(359,plain,
! [SV50: $i > $o,SV69: $i,SV17: $i] :
( ( ( c @ SV17 @ SV69 )
= $false )
| ( ( SV50 @ SV69 )
= $true )
| ( ( ! [SY1294: $i] :
( ~ ( a @ SV17 @ SY1294 )
| ~ ( ~ ( c @ SY1294 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SY1294 @ SV50 @ SV17 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(360,plain,
! [SV18: $i,SV51: $i] :
( ( ( ~ ( a @ SV51 @ ( sK7_SY76 @ SV51 @ SV18 ) ) )
= $false )
| ( ( priorG @ SV18 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(361,plain,
! [SV18: $i,SV51: $i] :
( ( ( ~ ~ ( ws @ a @ ( sK7_SY76 @ SV51 @ SV18 ) ) )
= $false )
| ( ( priorG @ SV18 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(362,plain,
! [SV52: $i > $o,SV70: $i,SV19: $i] :
( ( ( a @ SV19 @ SV70 )
= $false )
| ( ( SV52 @ SV70 )
= $true )
| ( ( ! [SY1296: $i] :
( ~ ( b @ SV19 @ SY1296 )
| ~ ( ~ ( a @ SY1296 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SY1296 @ SV52 @ SV19 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(363,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $true )
| ( ( ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(364,plain,
! [SV20: $i,SV53: $i > $o] :
( ( ( ~ ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) ) )
= $true )
| ( ( ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(365,plain,
! [SV54: $i > $o,SV71: $i,SV21: $i] :
( ( ( c @ SV21 @ SV71 )
= $false )
| ( ( SV54 @ SV71 )
= $true )
| ( ( ! [SY1300: $i] :
( ~ ( b @ SV21 @ SY1300 )
| ~ ( ~ ( c @ SY1300 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SY1300 @ SV54 @ SV21 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(366,plain,
! [SV55: $i > $o,SV72: $i,SV22: $i] :
( ( ( b @ SV22 @ SV72 )
= $false )
| ( ( SV55 @ SV72 )
= $true )
| ( ( ! [SY1302: $i] :
( ~ ( a @ SV22 @ SY1302 )
| ~ ( ~ ( b @ SY1302 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SY1302 @ SV55 @ SV22 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(367,plain,
! [SV56: $i > $o,SV73: $i,SV23: $i] :
( ( ( a @ SV23 @ SV73 )
= $false )
| ( ( SV56 @ SV73 )
= $true )
| ( ( ! [SY1304: $i] :
( ~ ( c @ SV23 @ SY1304 )
| ~ ( ~ ( a @ SY1304 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SY1304 @ SV56 @ SV23 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(368,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $true )
| ( ( ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(369,plain,
! [SV24: $i,SV57: $i > $o] :
( ( ( ~ ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) ) )
= $true )
| ( ( ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(370,plain,
( ( priorG @ sK2_SY1192 @ sK3_SY1196 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(371,plain,
( ( ~ ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(372,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $true )
| ( ( ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(373,plain,
! [SV25: $i,SV58: $i > $o] :
( ( ( ~ ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) ) )
= $true )
| ( ( ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(374,plain,
! [SV59: $i > $o,SV26: $i] :
( ( ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $true )
| ( ( ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(375,plain,
! [SV26: $i,SV59: $i > $o] :
( ( ( ~ ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) ) )
= $true )
| ( ( ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(376,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $true )
| ( ( ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(377,plain,
! [SV27: $i,SV60: $i > $o] :
( ( ( ~ ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) ) )
= $true )
| ( ( ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(378,plain,
! [SV61: $i > $o,SV28: $i] :
( ( ( fool @ SV28 @ ( sK24_SY865 @ SV61 @ SV28 ) )
= $true )
| ( ( SV61 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(379,plain,
! [SV28: $i,SV61: $i > $o] :
( ( ( ~ ( SV61 @ ( sK24_SY865 @ SV61 @ SV28 ) ) )
= $true )
| ( ( SV61 @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(380,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $true )
| ( ( ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(381,plain,
! [SV29: $i,SV62: $i > $o] :
( ( ( ~ ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) ) )
= $true )
| ( ( ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(382,plain,
! [SV30: $i,SV75: $i,SV63: $i] :
( ( ( ~ ( priorG @ SV63 @ SV75 ) )
= $true )
| ( ( ~ ( ~ ( b @ SV75 @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) ) ) )
= $true )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(383,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $true )
| ( ( ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(384,plain,
! [SV31: $i,SV64: $i > $o] :
( ( ( ~ ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) ) )
= $true )
| ( ( ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(385,plain,
! [SV65: $i > $o,SV74: $i,SV32: $i] :
( ( ( b @ SV32 @ SV74 )
= $false )
| ( ( SV65 @ SV74 )
= $true )
| ( ( ! [SY1317: $i] :
( ~ ( c @ SV32 @ SY1317 )
| ~ ( ~ ( b @ SY1317 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SY1317 @ SV65 @ SV32 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(386,plain,
! [SV66: $i > $o,SV33: $i] :
( ( ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $true )
| ( ( ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[339]) ).
thf(387,plain,
! [SV33: $i,SV66: $i > $o] :
( ( ( ~ ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) ) )
= $true )
| ( ( ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(388,plain,
! [SV67: $i > $o,SV34: $i] :
( ( ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $true )
| ( ( ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(389,plain,
! [SV34: $i,SV67: $i > $o] :
( ( ( ~ ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) ) )
= $true )
| ( ( ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(390,plain,
! [SV2: $i,SV68: $i,SV35: $i] :
( ( ( priorG @ SV35 @ SV68 )
= $false )
| ( ( priorG @ SV2 @ SV35 )
= $false )
| ( ( priorG @ SV2 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(391,plain,
! [SV4: $i,SV82: $i,SV37: $i] :
( ( ( ~ ( b @ SV37 @ SV82 )
| ( ws @ a @ SV82 ) )
= $true )
| ( ( ws @ a @ SV37 )
= $false )
| ( ( fool @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(392,plain,
! [SV5: $i,SV83: $i,SV38: $i] :
( ( ( ~ ( c @ SV38 @ SV83 )
| ( ws @ a @ SV83 ) )
= $true )
| ( ( ws @ a @ SV38 )
= $false )
| ( ( fool @ SV5 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(393,plain,
! [SV6: $i,SV84: $i,SV39: $i] :
( ( ( ~ ( a @ SV39 @ SV84 )
| ( ws @ b @ SV84 ) )
= $true )
| ( ( ws @ b @ SV39 )
= $false )
| ( ( fool @ SV6 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(394,plain,
! [SV7: $i,SV85: $i,SV40: $i] :
( ( ( ~ ( c @ SV40 @ SV85 )
| ( ws @ b @ SV85 ) )
= $true )
| ( ( ws @ b @ SV40 )
= $false )
| ( ( fool @ SV7 @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(395,plain,
! [SV8: $i,SV86: $i,SV41: $i] :
( ( ( ~ ( a @ SV41 @ SV86 )
| ( ws @ c @ SV86 ) )
= $true )
| ( ( ws @ c @ SV41 )
= $false )
| ( ( fool @ SV8 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(396,plain,
! [SV9: $i,SV87: $i,SV42: $i] :
( ( ( ~ ( b @ SV42 @ SV87 )
| ( ws @ c @ SV87 ) )
= $true )
| ( ( ws @ c @ SV42 )
= $false )
| ( ( fool @ SV9 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(397,plain,
! [SV10: $i,SV76: $i,SV43: $i] :
( ( ( ~ ( b @ SV43 @ SV76 ) )
= $true )
| ( ( ~ ( ws @ a @ SV76 ) )
= $true )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV10 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(398,plain,
! [SV11: $i,SV77: $i,SV44: $i] :
( ( ( ~ ( c @ SV44 @ SV77 ) )
= $true )
| ( ( ~ ( ws @ a @ SV77 ) )
= $true )
| ( ( ws @ a @ SV44 )
= $true )
| ( ( fool @ SV11 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(399,plain,
! [SV12: $i,SV78: $i,SV45: $i] :
( ( ( ~ ( a @ SV45 @ SV78 ) )
= $true )
| ( ( ~ ( ws @ b @ SV78 ) )
= $true )
| ( ( ws @ b @ SV45 )
= $true )
| ( ( fool @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(400,plain,
! [SV13: $i,SV79: $i,SV46: $i] :
( ( ( ~ ( c @ SV46 @ SV79 ) )
= $true )
| ( ( ~ ( ws @ b @ SV79 ) )
= $true )
| ( ( ws @ b @ SV46 )
= $true )
| ( ( fool @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(401,plain,
! [SV14: $i,SV80: $i,SV47: $i] :
( ( ( ~ ( a @ SV47 @ SV80 ) )
= $true )
| ( ( ~ ( ws @ c @ SV80 ) )
= $true )
| ( ( ws @ c @ SV47 )
= $true )
| ( ( fool @ SV14 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(402,plain,
! [SV15: $i,SV81: $i,SV48: $i] :
( ( ( ~ ( b @ SV48 @ SV81 ) )
= $true )
| ( ( ~ ( ws @ c @ SV81 ) )
= $true )
| ( ( ws @ c @ SV48 )
= $true )
| ( ( fool @ SV15 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(403,plain,
! [SV49: $i > $o,SV88: $i,SV16: $i] :
( ( ( ~ ( c @ SV16 @ SV88 )
| ! [SY1321: $i] :
( ~ ( a @ SV88 @ SY1321 )
| ( SV49 @ SY1321 ) ) )
= $true )
| ( ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(404,plain,
! [SV16: $i,SV49: $i > $o] :
( ( ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $false )
| ( ( ! [SY1291: $i] :
( ~ ( c @ SV16 @ SY1291 )
| ! [SY1292: $i] :
( ~ ( a @ SY1291 @ SY1292 )
| ( SV49 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(405,plain,
! [SV69: $i,SV50: $i > $o,SV89: $i,SV17: $i] :
( ( ( ~ ( a @ SV17 @ SV89 )
| ~ ( ~ ( c @ SV89 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) ) ) )
= $true )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(406,plain,
! [SV18: $i,SV51: $i] :
( ( ( a @ SV51 @ ( sK7_SY76 @ SV51 @ SV18 ) )
= $true )
| ( ( priorG @ SV18 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(407,plain,
! [SV18: $i,SV51: $i] :
( ( ( ~ ( ws @ a @ ( sK7_SY76 @ SV51 @ SV18 ) ) )
= $true )
| ( ( priorG @ SV18 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[361]) ).
thf(408,plain,
! [SV70: $i,SV52: $i > $o,SV90: $i,SV19: $i] :
( ( ( ~ ( b @ SV19 @ SV90 )
| ~ ( ~ ( a @ SV90 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) ) ) )
= $true )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(409,plain,
! [SV53: $i > $o,SV91: $i,SV20: $i] :
( ( ( ~ ( fool @ SV20 @ SV91 )
| ! [SY1322: $i] :
( ~ ( fool @ SV91 @ SY1322 )
| ( SV53 @ SY1322 ) ) )
= $true )
| ( ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(410,plain,
! [SV20: $i,SV53: $i > $o] :
( ( ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $false )
| ( ( ! [SY1297: $i] :
( ~ ( fool @ SV20 @ SY1297 )
| ! [SY1298: $i] :
( ~ ( fool @ SY1297 @ SY1298 )
| ( SV53 @ SY1298 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(411,plain,
! [SV71: $i,SV54: $i > $o,SV92: $i,SV21: $i] :
( ( ( ~ ( b @ SV21 @ SV92 )
| ~ ( ~ ( c @ SV92 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) ) ) )
= $true )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(412,plain,
! [SV72: $i,SV55: $i > $o,SV93: $i,SV22: $i] :
( ( ( ~ ( a @ SV22 @ SV93 )
| ~ ( ~ ( b @ SV93 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) ) ) )
= $true )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(413,plain,
! [SV73: $i,SV56: $i > $o,SV94: $i,SV23: $i] :
( ( ( ~ ( c @ SV23 @ SV94 )
| ~ ( ~ ( a @ SV94 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) ) ) )
= $true )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(414,plain,
! [SV57: $i > $o,SV95: $i,SV24: $i] :
( ( ( ~ ( a @ SV24 @ SV95 )
| ! [SY1323: $i] :
( ~ ( c @ SV95 @ SY1323 )
| ( SV57 @ SY1323 ) ) )
= $true )
| ( ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(415,plain,
! [SV24: $i,SV57: $i > $o] :
( ( ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $false )
| ( ( ! [SY1305: $i] :
( ~ ( a @ SV24 @ SY1305 )
| ! [SY1306: $i] :
( ~ ( c @ SY1305 @ SY1306 )
| ( SV57 @ SY1306 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(416,plain,
( ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 )
| ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(417,plain,
! [SV58: $i > $o,SV96: $i,SV25: $i] :
( ( ( ~ ( a @ SV25 @ SV96 )
| ( SV58 @ SV96 ) )
= $true )
| ( ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(418,plain,
! [SV25: $i,SV58: $i > $o] :
( ( ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $false )
| ( ( ! [SY1307: $i] :
( ~ ( a @ SV25 @ SY1307 )
| ( SV58 @ SY1307 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(419,plain,
! [SV59: $i > $o,SV97: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV97 )
| ( SV59 @ SV97 ) )
= $true )
| ( ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(420,plain,
! [SV26: $i,SV59: $i > $o] :
( ( ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $false )
| ( ( ! [SY1308: $i] :
( ~ ( b @ SV26 @ SY1308 )
| ( SV59 @ SY1308 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(421,plain,
! [SV60: $i > $o,SV98: $i,SV27: $i] :
( ( ( ~ ( b @ SV27 @ SV98 )
| ! [SY1324: $i] :
( ~ ( c @ SV98 @ SY1324 )
| ( SV60 @ SY1324 ) ) )
= $true )
| ( ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(422,plain,
! [SV27: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $false )
| ( ( ! [SY1309: $i] :
( ~ ( b @ SV27 @ SY1309 )
| ! [SY1310: $i] :
( ~ ( c @ SY1309 @ SY1310 )
| ( SV60 @ SY1310 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(423,plain,
! [SV28: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK24_SY865 @ SV61 @ SV28 ) )
= $false )
| ( ( SV61 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(424,plain,
! [SV62: $i > $o,SV99: $i,SV29: $i] :
( ( ( ~ ( c @ SV29 @ SV99 )
| ! [SY1325: $i] :
( ~ ( b @ SV99 @ SY1325 )
| ( SV62 @ SY1325 ) ) )
= $true )
| ( ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(425,plain,
! [SV29: $i,SV62: $i > $o] :
( ( ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $false )
| ( ( ! [SY1311: $i] :
( ~ ( c @ SV29 @ SY1311 )
| ! [SY1312: $i] :
( ~ ( b @ SY1311 @ SY1312 )
| ( SV62 @ SY1312 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(426,plain,
! [SV30: $i,SV75: $i,SV63: $i] :
( ( ( priorG @ SV63 @ SV75 )
= $false )
| ( ( ~ ( ~ ( b @ SV75 @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) ) ) )
= $true )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(427,plain,
! [SV64: $i > $o,SV100: $i,SV31: $i] :
( ( ( ~ ( b @ SV31 @ SV100 )
| ! [SY1326: $i] :
( ~ ( a @ SV100 @ SY1326 )
| ( SV64 @ SY1326 ) ) )
= $true )
| ( ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(428,plain,
! [SV31: $i,SV64: $i > $o] :
( ( ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $false )
| ( ( ! [SY1314: $i] :
( ~ ( b @ SV31 @ SY1314 )
| ! [SY1315: $i] :
( ~ ( a @ SY1314 @ SY1315 )
| ( SV64 @ SY1315 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(429,plain,
! [SV74: $i,SV65: $i > $o,SV101: $i,SV32: $i] :
( ( ( ~ ( c @ SV32 @ SV101 )
| ~ ( ~ ( b @ SV101 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) ) ) )
= $true )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(430,plain,
! [SV66: $i > $o,SV102: $i,SV33: $i] :
( ( ( ~ ( a @ SV33 @ SV102 )
| ! [SY1327: $i] :
( ~ ( b @ SV102 @ SY1327 )
| ( SV66 @ SY1327 ) ) )
= $true )
| ( ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(431,plain,
! [SV33: $i,SV66: $i > $o] :
( ( ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $false )
| ( ( ! [SY1318: $i] :
( ~ ( a @ SV33 @ SY1318 )
| ! [SY1319: $i] :
( ~ ( b @ SY1318 @ SY1319 )
| ( SV66 @ SY1319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(432,plain,
! [SV67: $i > $o,SV103: $i,SV34: $i] :
( ( ( ~ ( c @ SV34 @ SV103 )
| ( SV67 @ SV103 ) )
= $true )
| ( ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(433,plain,
! [SV34: $i,SV67: $i > $o] :
( ( ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $false )
| ( ( ! [SY1320: $i] :
( ~ ( c @ SV34 @ SY1320 )
| ( SV67 @ SY1320 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(434,plain,
! [SV4: $i,SV82: $i,SV37: $i] :
( ( ( ~ ( b @ SV37 @ SV82 ) )
= $true )
| ( ( ws @ a @ SV82 )
= $true )
| ( ( ws @ a @ SV37 )
= $false )
| ( ( fool @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(435,plain,
! [SV5: $i,SV83: $i,SV38: $i] :
( ( ( ~ ( c @ SV38 @ SV83 ) )
= $true )
| ( ( ws @ a @ SV83 )
= $true )
| ( ( ws @ a @ SV38 )
= $false )
| ( ( fool @ SV5 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(436,plain,
! [SV6: $i,SV84: $i,SV39: $i] :
( ( ( ~ ( a @ SV39 @ SV84 ) )
= $true )
| ( ( ws @ b @ SV84 )
= $true )
| ( ( ws @ b @ SV39 )
= $false )
| ( ( fool @ SV6 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(437,plain,
! [SV7: $i,SV85: $i,SV40: $i] :
( ( ( ~ ( c @ SV40 @ SV85 ) )
= $true )
| ( ( ws @ b @ SV85 )
= $true )
| ( ( ws @ b @ SV40 )
= $false )
| ( ( fool @ SV7 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[394]) ).
thf(438,plain,
! [SV8: $i,SV86: $i,SV41: $i] :
( ( ( ~ ( a @ SV41 @ SV86 ) )
= $true )
| ( ( ws @ c @ SV86 )
= $true )
| ( ( ws @ c @ SV41 )
= $false )
| ( ( fool @ SV8 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(439,plain,
! [SV9: $i,SV87: $i,SV42: $i] :
( ( ( ~ ( b @ SV42 @ SV87 ) )
= $true )
| ( ( ws @ c @ SV87 )
= $true )
| ( ( ws @ c @ SV42 )
= $false )
| ( ( fool @ SV9 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(440,plain,
! [SV10: $i,SV76: $i,SV43: $i] :
( ( ( b @ SV43 @ SV76 )
= $false )
| ( ( ~ ( ws @ a @ SV76 ) )
= $true )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV10 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(441,plain,
! [SV11: $i,SV77: $i,SV44: $i] :
( ( ( c @ SV44 @ SV77 )
= $false )
| ( ( ~ ( ws @ a @ SV77 ) )
= $true )
| ( ( ws @ a @ SV44 )
= $true )
| ( ( fool @ SV11 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(442,plain,
! [SV12: $i,SV78: $i,SV45: $i] :
( ( ( a @ SV45 @ SV78 )
= $false )
| ( ( ~ ( ws @ b @ SV78 ) )
= $true )
| ( ( ws @ b @ SV45 )
= $true )
| ( ( fool @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV13: $i,SV79: $i,SV46: $i] :
( ( ( c @ SV46 @ SV79 )
= $false )
| ( ( ~ ( ws @ b @ SV79 ) )
= $true )
| ( ( ws @ b @ SV46 )
= $true )
| ( ( fool @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(444,plain,
! [SV14: $i,SV80: $i,SV47: $i] :
( ( ( a @ SV47 @ SV80 )
= $false )
| ( ( ~ ( ws @ c @ SV80 ) )
= $true )
| ( ( ws @ c @ SV47 )
= $true )
| ( ( fool @ SV14 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(445,plain,
! [SV15: $i,SV81: $i,SV48: $i] :
( ( ( b @ SV48 @ SV81 )
= $false )
| ( ( ~ ( ws @ c @ SV81 ) )
= $true )
| ( ( ws @ c @ SV48 )
= $true )
| ( ( fool @ SV15 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(446,plain,
! [SV49: $i > $o,SV88: $i,SV16: $i] :
( ( ( ~ ( c @ SV16 @ SV88 ) )
= $true )
| ( ( ! [SY1321: $i] :
( ~ ( a @ SV88 @ SY1321 )
| ( SV49 @ SY1321 ) ) )
= $true )
| ( ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(447,plain,
! [SV49: $i > $o,SV104: $i,SV16: $i] :
( ( ( ~ ( c @ SV16 @ SV104 )
| ! [SY1328: $i] :
( ~ ( a @ SV104 @ SY1328 )
| ( SV49 @ SY1328 ) ) )
= $true )
| ( ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(448,plain,
! [SV69: $i,SV50: $i > $o,SV89: $i,SV17: $i] :
( ( ( ~ ( a @ SV17 @ SV89 ) )
= $true )
| ( ( ~ ( ~ ( c @ SV89 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) ) ) )
= $true )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(449,plain,
! [SV18: $i,SV51: $i] :
( ( ( ws @ a @ ( sK7_SY76 @ SV51 @ SV18 ) )
= $false )
| ( ( priorG @ SV18 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(450,plain,
! [SV70: $i,SV52: $i > $o,SV90: $i,SV19: $i] :
( ( ( ~ ( b @ SV19 @ SV90 ) )
= $true )
| ( ( ~ ( ~ ( a @ SV90 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) ) ) )
= $true )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(451,plain,
! [SV53: $i > $o,SV91: $i,SV20: $i] :
( ( ( ~ ( fool @ SV20 @ SV91 ) )
= $true )
| ( ( ! [SY1322: $i] :
( ~ ( fool @ SV91 @ SY1322 )
| ( SV53 @ SY1322 ) ) )
= $true )
| ( ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(452,plain,
! [SV53: $i > $o,SV105: $i,SV20: $i] :
( ( ( ~ ( fool @ SV20 @ SV105 )
| ! [SY1329: $i] :
( ~ ( fool @ SV105 @ SY1329 )
| ( SV53 @ SY1329 ) ) )
= $true )
| ( ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(453,plain,
! [SV71: $i,SV54: $i > $o,SV92: $i,SV21: $i] :
( ( ( ~ ( b @ SV21 @ SV92 ) )
= $true )
| ( ( ~ ( ~ ( c @ SV92 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) ) ) )
= $true )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(454,plain,
! [SV72: $i,SV55: $i > $o,SV93: $i,SV22: $i] :
( ( ( ~ ( a @ SV22 @ SV93 ) )
= $true )
| ( ( ~ ( ~ ( b @ SV93 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) ) ) )
= $true )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[412]) ).
thf(455,plain,
! [SV73: $i,SV56: $i > $o,SV94: $i,SV23: $i] :
( ( ( ~ ( c @ SV23 @ SV94 ) )
= $true )
| ( ( ~ ( ~ ( a @ SV94 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) ) ) )
= $true )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(456,plain,
! [SV57: $i > $o,SV95: $i,SV24: $i] :
( ( ( ~ ( a @ SV24 @ SV95 ) )
= $true )
| ( ( ! [SY1323: $i] :
( ~ ( c @ SV95 @ SY1323 )
| ( SV57 @ SY1323 ) ) )
= $true )
| ( ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(457,plain,
! [SV57: $i > $o,SV106: $i,SV24: $i] :
( ( ( ~ ( a @ SV24 @ SV106 )
| ! [SY1330: $i] :
( ~ ( c @ SV106 @ SY1330 )
| ( SV57 @ SY1330 ) ) )
= $true )
| ( ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(458,plain,
( ( ~ ( priorG @ sK3_SY1196 @ sK4_SY1199 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(459,plain,
( ( ~ ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[416]) ).
thf(460,plain,
! [SV58: $i > $o,SV96: $i,SV25: $i] :
( ( ( ~ ( a @ SV25 @ SV96 ) )
= $true )
| ( ( SV58 @ SV96 )
= $true )
| ( ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(461,plain,
! [SV58: $i > $o,SV107: $i,SV25: $i] :
( ( ( ~ ( a @ SV25 @ SV107 )
| ( SV58 @ SV107 ) )
= $true )
| ( ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(462,plain,
! [SV59: $i > $o,SV97: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV97 ) )
= $true )
| ( ( SV59 @ SV97 )
= $true )
| ( ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(463,plain,
! [SV59: $i > $o,SV108: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV108 )
| ( SV59 @ SV108 ) )
= $true )
| ( ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(464,plain,
! [SV60: $i > $o,SV98: $i,SV27: $i] :
( ( ( ~ ( b @ SV27 @ SV98 ) )
= $true )
| ( ( ! [SY1324: $i] :
( ~ ( c @ SV98 @ SY1324 )
| ( SV60 @ SY1324 ) ) )
= $true )
| ( ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(465,plain,
! [SV60: $i > $o,SV109: $i,SV27: $i] :
( ( ( ~ ( b @ SV27 @ SV109 )
| ! [SY1331: $i] :
( ~ ( c @ SV109 @ SY1331 )
| ( SV60 @ SY1331 ) ) )
= $true )
| ( ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(466,plain,
! [SV62: $i > $o,SV99: $i,SV29: $i] :
( ( ( ~ ( c @ SV29 @ SV99 ) )
= $true )
| ( ( ! [SY1325: $i] :
( ~ ( b @ SV99 @ SY1325 )
| ( SV62 @ SY1325 ) ) )
= $true )
| ( ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(467,plain,
! [SV62: $i > $o,SV110: $i,SV29: $i] :
( ( ( ~ ( c @ SV29 @ SV110 )
| ! [SY1332: $i] :
( ~ ( b @ SV110 @ SY1332 )
| ( SV62 @ SY1332 ) ) )
= $true )
| ( ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(468,plain,
! [SV30: $i,SV63: $i,SV75: $i] :
( ( ( ~ ( b @ SV75 @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) )
| ~ ~ ( ws @ b @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) ) )
= $false )
| ( ( priorG @ SV63 @ SV75 )
= $false )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(469,plain,
! [SV64: $i > $o,SV100: $i,SV31: $i] :
( ( ( ~ ( b @ SV31 @ SV100 ) )
= $true )
| ( ( ! [SY1326: $i] :
( ~ ( a @ SV100 @ SY1326 )
| ( SV64 @ SY1326 ) ) )
= $true )
| ( ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(470,plain,
! [SV64: $i > $o,SV111: $i,SV31: $i] :
( ( ( ~ ( b @ SV31 @ SV111 )
| ! [SY1333: $i] :
( ~ ( a @ SV111 @ SY1333 )
| ( SV64 @ SY1333 ) ) )
= $true )
| ( ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(471,plain,
! [SV74: $i,SV65: $i > $o,SV101: $i,SV32: $i] :
( ( ( ~ ( c @ SV32 @ SV101 ) )
= $true )
| ( ( ~ ( ~ ( b @ SV101 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) ) ) )
= $true )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(472,plain,
! [SV66: $i > $o,SV102: $i,SV33: $i] :
( ( ( ~ ( a @ SV33 @ SV102 ) )
= $true )
| ( ( ! [SY1327: $i] :
( ~ ( b @ SV102 @ SY1327 )
| ( SV66 @ SY1327 ) ) )
= $true )
| ( ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(473,plain,
! [SV66: $i > $o,SV112: $i,SV33: $i] :
( ( ( ~ ( a @ SV33 @ SV112 )
| ! [SY1334: $i] :
( ~ ( b @ SV112 @ SY1334 )
| ( SV66 @ SY1334 ) ) )
= $true )
| ( ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(474,plain,
! [SV67: $i > $o,SV103: $i,SV34: $i] :
( ( ( ~ ( c @ SV34 @ SV103 ) )
= $true )
| ( ( SV67 @ SV103 )
= $true )
| ( ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(475,plain,
! [SV67: $i > $o,SV113: $i,SV34: $i] :
( ( ( ~ ( c @ SV34 @ SV113 )
| ( SV67 @ SV113 ) )
= $true )
| ( ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(476,plain,
! [SV4: $i,SV82: $i,SV37: $i] :
( ( ( b @ SV37 @ SV82 )
= $false )
| ( ( ws @ a @ SV82 )
= $true )
| ( ( ws @ a @ SV37 )
= $false )
| ( ( fool @ SV4 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(477,plain,
! [SV5: $i,SV83: $i,SV38: $i] :
( ( ( c @ SV38 @ SV83 )
= $false )
| ( ( ws @ a @ SV83 )
= $true )
| ( ( ws @ a @ SV38 )
= $false )
| ( ( fool @ SV5 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(478,plain,
! [SV6: $i,SV84: $i,SV39: $i] :
( ( ( a @ SV39 @ SV84 )
= $false )
| ( ( ws @ b @ SV84 )
= $true )
| ( ( ws @ b @ SV39 )
= $false )
| ( ( fool @ SV6 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(479,plain,
! [SV7: $i,SV85: $i,SV40: $i] :
( ( ( c @ SV40 @ SV85 )
= $false )
| ( ( ws @ b @ SV85 )
= $true )
| ( ( ws @ b @ SV40 )
= $false )
| ( ( fool @ SV7 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(480,plain,
! [SV8: $i,SV86: $i,SV41: $i] :
( ( ( a @ SV41 @ SV86 )
= $false )
| ( ( ws @ c @ SV86 )
= $true )
| ( ( ws @ c @ SV41 )
= $false )
| ( ( fool @ SV8 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(481,plain,
! [SV9: $i,SV87: $i,SV42: $i] :
( ( ( b @ SV42 @ SV87 )
= $false )
| ( ( ws @ c @ SV87 )
= $true )
| ( ( ws @ c @ SV42 )
= $false )
| ( ( fool @ SV9 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(482,plain,
! [SV10: $i,SV43: $i,SV76: $i] :
( ( ( ws @ a @ SV76 )
= $false )
| ( ( b @ SV43 @ SV76 )
= $false )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV10 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(483,plain,
! [SV11: $i,SV44: $i,SV77: $i] :
( ( ( ws @ a @ SV77 )
= $false )
| ( ( c @ SV44 @ SV77 )
= $false )
| ( ( ws @ a @ SV44 )
= $true )
| ( ( fool @ SV11 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(484,plain,
! [SV12: $i,SV45: $i,SV78: $i] :
( ( ( ws @ b @ SV78 )
= $false )
| ( ( a @ SV45 @ SV78 )
= $false )
| ( ( ws @ b @ SV45 )
= $true )
| ( ( fool @ SV12 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(485,plain,
! [SV13: $i,SV46: $i,SV79: $i] :
( ( ( ws @ b @ SV79 )
= $false )
| ( ( c @ SV46 @ SV79 )
= $false )
| ( ( ws @ b @ SV46 )
= $true )
| ( ( fool @ SV13 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(486,plain,
! [SV14: $i,SV47: $i,SV80: $i] :
( ( ( ws @ c @ SV80 )
= $false )
| ( ( a @ SV47 @ SV80 )
= $false )
| ( ( ws @ c @ SV47 )
= $true )
| ( ( fool @ SV14 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(487,plain,
! [SV15: $i,SV48: $i,SV81: $i] :
( ( ( ws @ c @ SV81 )
= $false )
| ( ( b @ SV48 @ SV81 )
= $false )
| ( ( ws @ c @ SV48 )
= $true )
| ( ( fool @ SV15 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(488,plain,
! [SV49: $i > $o,SV88: $i,SV16: $i] :
( ( ( c @ SV16 @ SV88 )
= $false )
| ( ( ! [SY1321: $i] :
( ~ ( a @ SV88 @ SY1321 )
| ( SV49 @ SY1321 ) ) )
= $true )
| ( ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(489,plain,
! [SV49: $i > $o,SV104: $i,SV16: $i] :
( ( ( ~ ( c @ SV16 @ SV104 ) )
= $true )
| ( ( ! [SY1328: $i] :
( ~ ( a @ SV104 @ SY1328 )
| ( SV49 @ SY1328 ) ) )
= $true )
| ( ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(490,plain,
! [SV69: $i,SV50: $i > $o,SV89: $i,SV17: $i] :
( ( ( a @ SV17 @ SV89 )
= $false )
| ( ( ~ ( ~ ( c @ SV89 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) ) ) )
= $true )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(491,plain,
! [SV70: $i,SV52: $i > $o,SV90: $i,SV19: $i] :
( ( ( b @ SV19 @ SV90 )
= $false )
| ( ( ~ ( ~ ( a @ SV90 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) ) ) )
= $true )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(492,plain,
! [SV53: $i > $o,SV91: $i,SV20: $i] :
( ( ( fool @ SV20 @ SV91 )
= $false )
| ( ( ! [SY1322: $i] :
( ~ ( fool @ SV91 @ SY1322 )
| ( SV53 @ SY1322 ) ) )
= $true )
| ( ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(493,plain,
! [SV53: $i > $o,SV105: $i,SV20: $i] :
( ( ( ~ ( fool @ SV20 @ SV105 ) )
= $true )
| ( ( ! [SY1329: $i] :
( ~ ( fool @ SV105 @ SY1329 )
| ( SV53 @ SY1329 ) ) )
= $true )
| ( ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(494,plain,
! [SV71: $i,SV54: $i > $o,SV92: $i,SV21: $i] :
( ( ( b @ SV21 @ SV92 )
= $false )
| ( ( ~ ( ~ ( c @ SV92 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) ) ) )
= $true )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(495,plain,
! [SV72: $i,SV55: $i > $o,SV93: $i,SV22: $i] :
( ( ( a @ SV22 @ SV93 )
= $false )
| ( ( ~ ( ~ ( b @ SV93 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) ) ) )
= $true )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(496,plain,
! [SV73: $i,SV56: $i > $o,SV94: $i,SV23: $i] :
( ( ( c @ SV23 @ SV94 )
= $false )
| ( ( ~ ( ~ ( a @ SV94 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) ) ) )
= $true )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(497,plain,
! [SV57: $i > $o,SV95: $i,SV24: $i] :
( ( ( a @ SV24 @ SV95 )
= $false )
| ( ( ! [SY1323: $i] :
( ~ ( c @ SV95 @ SY1323 )
| ( SV57 @ SY1323 ) ) )
= $true )
| ( ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(498,plain,
! [SV57: $i > $o,SV106: $i,SV24: $i] :
( ( ( ~ ( a @ SV24 @ SV106 ) )
= $true )
| ( ( ! [SY1330: $i] :
( ~ ( c @ SV106 @ SY1330 )
| ( SV57 @ SY1330 ) ) )
= $true )
| ( ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(499,plain,
( ( priorG @ sK3_SY1196 @ sK4_SY1199 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[458]) ).
thf(500,plain,
( ( ~ ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[459]) ).
thf(501,plain,
! [SV58: $i > $o,SV96: $i,SV25: $i] :
( ( ( a @ SV25 @ SV96 )
= $false )
| ( ( SV58 @ SV96 )
= $true )
| ( ( fool @ SV25 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(502,plain,
! [SV58: $i > $o,SV107: $i,SV25: $i] :
( ( ( ~ ( a @ SV25 @ SV107 ) )
= $true )
| ( ( SV58 @ SV107 )
= $true )
| ( ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(503,plain,
! [SV59: $i > $o,SV97: $i,SV26: $i] :
( ( ( b @ SV26 @ SV97 )
= $false )
| ( ( SV59 @ SV97 )
= $true )
| ( ( fool @ SV26 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(504,plain,
! [SV59: $i > $o,SV108: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV108 ) )
= $true )
| ( ( SV59 @ SV108 )
= $true )
| ( ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(505,plain,
! [SV60: $i > $o,SV98: $i,SV27: $i] :
( ( ( b @ SV27 @ SV98 )
= $false )
| ( ( ! [SY1324: $i] :
( ~ ( c @ SV98 @ SY1324 )
| ( SV60 @ SY1324 ) ) )
= $true )
| ( ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(506,plain,
! [SV60: $i > $o,SV109: $i,SV27: $i] :
( ( ( ~ ( b @ SV27 @ SV109 ) )
= $true )
| ( ( ! [SY1331: $i] :
( ~ ( c @ SV109 @ SY1331 )
| ( SV60 @ SY1331 ) ) )
= $true )
| ( ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(507,plain,
! [SV62: $i > $o,SV99: $i,SV29: $i] :
( ( ( c @ SV29 @ SV99 )
= $false )
| ( ( ! [SY1325: $i] :
( ~ ( b @ SV99 @ SY1325 )
| ( SV62 @ SY1325 ) ) )
= $true )
| ( ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(508,plain,
! [SV62: $i > $o,SV110: $i,SV29: $i] :
( ( ( ~ ( c @ SV29 @ SV110 ) )
= $true )
| ( ( ! [SY1332: $i] :
( ~ ( b @ SV110 @ SY1332 )
| ( SV62 @ SY1332 ) ) )
= $true )
| ( ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(509,plain,
! [SV30: $i,SV63: $i,SV75: $i] :
( ( ( ~ ( b @ SV75 @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) ) )
= $false )
| ( ( priorG @ SV63 @ SV75 )
= $false )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(510,plain,
! [SV30: $i,SV63: $i,SV75: $i] :
( ( ( ~ ~ ( ws @ b @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) ) )
= $false )
| ( ( priorG @ SV63 @ SV75 )
= $false )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(511,plain,
! [SV64: $i > $o,SV100: $i,SV31: $i] :
( ( ( b @ SV31 @ SV100 )
= $false )
| ( ( ! [SY1326: $i] :
( ~ ( a @ SV100 @ SY1326 )
| ( SV64 @ SY1326 ) ) )
= $true )
| ( ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(512,plain,
! [SV64: $i > $o,SV111: $i,SV31: $i] :
( ( ( ~ ( b @ SV31 @ SV111 ) )
= $true )
| ( ( ! [SY1333: $i] :
( ~ ( a @ SV111 @ SY1333 )
| ( SV64 @ SY1333 ) ) )
= $true )
| ( ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(513,plain,
! [SV74: $i,SV65: $i > $o,SV101: $i,SV32: $i] :
( ( ( c @ SV32 @ SV101 )
= $false )
| ( ( ~ ( ~ ( b @ SV101 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) ) ) )
= $true )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(514,plain,
! [SV66: $i > $o,SV102: $i,SV33: $i] :
( ( ( a @ SV33 @ SV102 )
= $false )
| ( ( ! [SY1327: $i] :
( ~ ( b @ SV102 @ SY1327 )
| ( SV66 @ SY1327 ) ) )
= $true )
| ( ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(515,plain,
! [SV66: $i > $o,SV112: $i,SV33: $i] :
( ( ( ~ ( a @ SV33 @ SV112 ) )
= $true )
| ( ( ! [SY1334: $i] :
( ~ ( b @ SV112 @ SY1334 )
| ( SV66 @ SY1334 ) ) )
= $true )
| ( ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(516,plain,
! [SV67: $i > $o,SV103: $i,SV34: $i] :
( ( ( c @ SV34 @ SV103 )
= $false )
| ( ( SV67 @ SV103 )
= $true )
| ( ( fool @ SV34 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(517,plain,
! [SV67: $i > $o,SV113: $i,SV34: $i] :
( ( ( ~ ( c @ SV34 @ SV113 ) )
= $true )
| ( ( SV67 @ SV113 )
= $true )
| ( ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[475]) ).
thf(518,plain,
! [SV16: $i,SV49: $i > $o,SV114: $i,SV88: $i] :
( ( ( ~ ( a @ SV88 @ SV114 )
| ( SV49 @ SV114 ) )
= $true )
| ( ( c @ SV16 @ SV88 )
= $false )
| ( ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(519,plain,
! [SV49: $i > $o,SV104: $i,SV16: $i] :
( ( ( c @ SV16 @ SV104 )
= $false )
| ( ( ! [SY1328: $i] :
( ~ ( a @ SV104 @ SY1328 )
| ( SV49 @ SY1328 ) ) )
= $true )
| ( ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(520,plain,
! [SV69: $i,SV17: $i,SV50: $i > $o,SV89: $i] :
( ( ( ~ ( c @ SV89 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) )
| ~ ~ ( SV50 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) ) )
= $false )
| ( ( a @ SV17 @ SV89 )
= $false )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(521,plain,
! [SV70: $i,SV19: $i,SV52: $i > $o,SV90: $i] :
( ( ( ~ ( a @ SV90 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) )
| ~ ~ ( SV52 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) ) )
= $false )
| ( ( b @ SV19 @ SV90 )
= $false )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(522,plain,
! [SV20: $i,SV53: $i > $o,SV115: $i,SV91: $i] :
( ( ( ~ ( fool @ SV91 @ SV115 )
| ( SV53 @ SV115 ) )
= $true )
| ( ( fool @ SV20 @ SV91 )
= $false )
| ( ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(523,plain,
! [SV53: $i > $o,SV105: $i,SV20: $i] :
( ( ( fool @ SV20 @ SV105 )
= $false )
| ( ( ! [SY1329: $i] :
( ~ ( fool @ SV105 @ SY1329 )
| ( SV53 @ SY1329 ) ) )
= $true )
| ( ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(524,plain,
! [SV71: $i,SV21: $i,SV54: $i > $o,SV92: $i] :
( ( ( ~ ( c @ SV92 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) )
| ~ ~ ( SV54 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) ) )
= $false )
| ( ( b @ SV21 @ SV92 )
= $false )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(525,plain,
! [SV72: $i,SV22: $i,SV55: $i > $o,SV93: $i] :
( ( ( ~ ( b @ SV93 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) )
| ~ ~ ( SV55 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) ) )
= $false )
| ( ( a @ SV22 @ SV93 )
= $false )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(526,plain,
! [SV73: $i,SV23: $i,SV56: $i > $o,SV94: $i] :
( ( ( ~ ( a @ SV94 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) )
| ~ ~ ( SV56 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) ) )
= $false )
| ( ( c @ SV23 @ SV94 )
= $false )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(527,plain,
! [SV24: $i,SV57: $i > $o,SV116: $i,SV95: $i] :
( ( ( ~ ( c @ SV95 @ SV116 )
| ( SV57 @ SV116 ) )
= $true )
| ( ( a @ SV24 @ SV95 )
= $false )
| ( ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(528,plain,
! [SV57: $i > $o,SV106: $i,SV24: $i] :
( ( ( a @ SV24 @ SV106 )
= $false )
| ( ( ! [SY1330: $i] :
( ~ ( c @ SV106 @ SY1330 )
| ( SV57 @ SY1330 ) ) )
= $true )
| ( ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(529,plain,
( ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 )
| ~ ~ ( ws @ c @ sK5_SY1201 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(530,plain,
! [SV58: $i > $o,SV107: $i,SV25: $i] :
( ( ( a @ SV25 @ SV107 )
= $false )
| ( ( SV58 @ SV107 )
= $true )
| ( ( SV58 @ ( sK22_SY788 @ SV58 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(531,plain,
! [SV59: $i > $o,SV108: $i,SV26: $i] :
( ( ( b @ SV26 @ SV108 )
= $false )
| ( ( SV59 @ SV108 )
= $true )
| ( ( SV59 @ ( sK21_SY751 @ SV59 @ SV26 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(532,plain,
! [SV27: $i,SV60: $i > $o,SV117: $i,SV98: $i] :
( ( ( ~ ( c @ SV98 @ SV117 )
| ( SV60 @ SV117 ) )
= $true )
| ( ( b @ SV27 @ SV98 )
= $false )
| ( ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(533,plain,
! [SV60: $i > $o,SV109: $i,SV27: $i] :
( ( ( b @ SV27 @ SV109 )
= $false )
| ( ( ! [SY1331: $i] :
( ~ ( c @ SV109 @ SY1331 )
| ( SV60 @ SY1331 ) ) )
= $true )
| ( ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(534,plain,
! [SV29: $i,SV62: $i > $o,SV118: $i,SV99: $i] :
( ( ( ~ ( b @ SV99 @ SV118 )
| ( SV62 @ SV118 ) )
= $true )
| ( ( c @ SV29 @ SV99 )
= $false )
| ( ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(535,plain,
! [SV62: $i > $o,SV110: $i,SV29: $i] :
( ( ( c @ SV29 @ SV110 )
= $false )
| ( ( ! [SY1332: $i] :
( ~ ( b @ SV110 @ SY1332 )
| ( SV62 @ SY1332 ) ) )
= $true )
| ( ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(536,plain,
! [SV30: $i,SV63: $i,SV75: $i] :
( ( ( b @ SV75 @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) )
= $true )
| ( ( priorG @ SV63 @ SV75 )
= $false )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(537,plain,
! [SV30: $i,SV63: $i,SV75: $i] :
( ( ( ~ ( ws @ b @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) ) )
= $true )
| ( ( priorG @ SV63 @ SV75 )
= $false )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(538,plain,
! [SV31: $i,SV64: $i > $o,SV119: $i,SV100: $i] :
( ( ( ~ ( a @ SV100 @ SV119 )
| ( SV64 @ SV119 ) )
= $true )
| ( ( b @ SV31 @ SV100 )
= $false )
| ( ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(539,plain,
! [SV64: $i > $o,SV111: $i,SV31: $i] :
( ( ( b @ SV31 @ SV111 )
= $false )
| ( ( ! [SY1333: $i] :
( ~ ( a @ SV111 @ SY1333 )
| ( SV64 @ SY1333 ) ) )
= $true )
| ( ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(540,plain,
! [SV74: $i,SV32: $i,SV65: $i > $o,SV101: $i] :
( ( ( ~ ( b @ SV101 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) )
| ~ ~ ( SV65 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) ) )
= $false )
| ( ( c @ SV32 @ SV101 )
= $false )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(541,plain,
! [SV33: $i,SV66: $i > $o,SV120: $i,SV102: $i] :
( ( ( ~ ( b @ SV102 @ SV120 )
| ( SV66 @ SV120 ) )
= $true )
| ( ( a @ SV33 @ SV102 )
= $false )
| ( ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(542,plain,
! [SV66: $i > $o,SV112: $i,SV33: $i] :
( ( ( a @ SV33 @ SV112 )
= $false )
| ( ( ! [SY1334: $i] :
( ~ ( b @ SV112 @ SY1334 )
| ( SV66 @ SY1334 ) ) )
= $true )
| ( ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(543,plain,
! [SV67: $i > $o,SV113: $i,SV34: $i] :
( ( ( c @ SV34 @ SV113 )
= $false )
| ( ( SV67 @ SV113 )
= $true )
| ( ( SV67 @ ( sK20_SY714 @ SV67 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(544,plain,
! [SV16: $i,SV49: $i > $o,SV114: $i,SV88: $i] :
( ( ( ~ ( a @ SV88 @ SV114 ) )
= $true )
| ( ( SV49 @ SV114 )
= $true )
| ( ( c @ SV16 @ SV88 )
= $false )
| ( ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(545,plain,
! [SV16: $i,SV49: $i > $o,SV121: $i,SV104: $i] :
( ( ( ~ ( a @ SV104 @ SV121 )
| ( SV49 @ SV121 ) )
= $true )
| ( ( c @ SV16 @ SV104 )
= $false )
| ( ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(546,plain,
! [SV69: $i,SV17: $i,SV50: $i > $o,SV89: $i] :
( ( ( ~ ( c @ SV89 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) ) )
= $false )
| ( ( a @ SV17 @ SV89 )
= $false )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(547,plain,
! [SV69: $i,SV17: $i,SV89: $i,SV50: $i > $o] :
( ( ( ~ ~ ( SV50 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) ) )
= $false )
| ( ( a @ SV17 @ SV89 )
= $false )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[520]) ).
thf(548,plain,
! [SV70: $i,SV19: $i,SV52: $i > $o,SV90: $i] :
( ( ( ~ ( a @ SV90 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) ) )
= $false )
| ( ( b @ SV19 @ SV90 )
= $false )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(549,plain,
! [SV70: $i,SV19: $i,SV90: $i,SV52: $i > $o] :
( ( ( ~ ~ ( SV52 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) ) )
= $false )
| ( ( b @ SV19 @ SV90 )
= $false )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(550,plain,
! [SV20: $i,SV53: $i > $o,SV115: $i,SV91: $i] :
( ( ( ~ ( fool @ SV91 @ SV115 ) )
= $true )
| ( ( SV53 @ SV115 )
= $true )
| ( ( fool @ SV20 @ SV91 )
= $false )
| ( ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(551,plain,
! [SV20: $i,SV53: $i > $o,SV122: $i,SV105: $i] :
( ( ( ~ ( fool @ SV105 @ SV122 )
| ( SV53 @ SV122 ) )
= $true )
| ( ( fool @ SV20 @ SV105 )
= $false )
| ( ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(552,plain,
! [SV71: $i,SV21: $i,SV54: $i > $o,SV92: $i] :
( ( ( ~ ( c @ SV92 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) ) )
= $false )
| ( ( b @ SV21 @ SV92 )
= $false )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(553,plain,
! [SV71: $i,SV21: $i,SV92: $i,SV54: $i > $o] :
( ( ( ~ ~ ( SV54 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) ) )
= $false )
| ( ( b @ SV21 @ SV92 )
= $false )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[524]) ).
thf(554,plain,
! [SV72: $i,SV22: $i,SV55: $i > $o,SV93: $i] :
( ( ( ~ ( b @ SV93 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) ) )
= $false )
| ( ( a @ SV22 @ SV93 )
= $false )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(555,plain,
! [SV72: $i,SV22: $i,SV93: $i,SV55: $i > $o] :
( ( ( ~ ~ ( SV55 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) ) )
= $false )
| ( ( a @ SV22 @ SV93 )
= $false )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(556,plain,
! [SV73: $i,SV23: $i,SV56: $i > $o,SV94: $i] :
( ( ( ~ ( a @ SV94 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) ) )
= $false )
| ( ( c @ SV23 @ SV94 )
= $false )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(557,plain,
! [SV73: $i,SV23: $i,SV94: $i,SV56: $i > $o] :
( ( ( ~ ~ ( SV56 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) ) )
= $false )
| ( ( c @ SV23 @ SV94 )
= $false )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[526]) ).
thf(558,plain,
! [SV24: $i,SV57: $i > $o,SV116: $i,SV95: $i] :
( ( ( ~ ( c @ SV95 @ SV116 ) )
= $true )
| ( ( SV57 @ SV116 )
= $true )
| ( ( a @ SV24 @ SV95 )
= $false )
| ( ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[527]) ).
thf(559,plain,
! [SV24: $i,SV57: $i > $o,SV123: $i,SV106: $i] :
( ( ( ~ ( c @ SV106 @ SV123 )
| ( SV57 @ SV123 ) )
= $true )
| ( ( a @ SV24 @ SV106 )
= $false )
| ( ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(560,plain,
( ( ~ ( c @ sK4_SY1199 @ sK5_SY1201 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(561,plain,
( ( ~ ~ ( ws @ c @ sK5_SY1201 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[529]) ).
thf(562,plain,
! [SV27: $i,SV60: $i > $o,SV117: $i,SV98: $i] :
( ( ( ~ ( c @ SV98 @ SV117 ) )
= $true )
| ( ( SV60 @ SV117 )
= $true )
| ( ( b @ SV27 @ SV98 )
= $false )
| ( ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(563,plain,
! [SV27: $i,SV60: $i > $o,SV124: $i,SV109: $i] :
( ( ( ~ ( c @ SV109 @ SV124 )
| ( SV60 @ SV124 ) )
= $true )
| ( ( b @ SV27 @ SV109 )
= $false )
| ( ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(564,plain,
! [SV29: $i,SV62: $i > $o,SV118: $i,SV99: $i] :
( ( ( ~ ( b @ SV99 @ SV118 ) )
= $true )
| ( ( SV62 @ SV118 )
= $true )
| ( ( c @ SV29 @ SV99 )
= $false )
| ( ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(565,plain,
! [SV29: $i,SV62: $i > $o,SV125: $i,SV110: $i] :
( ( ( ~ ( b @ SV110 @ SV125 )
| ( SV62 @ SV125 ) )
= $true )
| ( ( c @ SV29 @ SV110 )
= $false )
| ( ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(566,plain,
! [SV30: $i,SV63: $i,SV75: $i] :
( ( ( ws @ b @ ( sK6_SY51 @ SV75 @ SV63 @ SV30 ) )
= $false )
| ( ( priorG @ SV63 @ SV75 )
= $false )
| ( ( priorG @ SV30 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(567,plain,
! [SV31: $i,SV64: $i > $o,SV119: $i,SV100: $i] :
( ( ( ~ ( a @ SV100 @ SV119 ) )
= $true )
| ( ( SV64 @ SV119 )
= $true )
| ( ( b @ SV31 @ SV100 )
= $false )
| ( ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(568,plain,
! [SV31: $i,SV64: $i > $o,SV126: $i,SV111: $i] :
( ( ( ~ ( a @ SV111 @ SV126 )
| ( SV64 @ SV126 ) )
= $true )
| ( ( b @ SV31 @ SV111 )
= $false )
| ( ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(569,plain,
! [SV74: $i,SV32: $i,SV65: $i > $o,SV101: $i] :
( ( ( ~ ( b @ SV101 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) ) )
= $false )
| ( ( c @ SV32 @ SV101 )
= $false )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(570,plain,
! [SV74: $i,SV32: $i,SV101: $i,SV65: $i > $o] :
( ( ( ~ ~ ( SV65 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) ) )
= $false )
| ( ( c @ SV32 @ SV101 )
= $false )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(571,plain,
! [SV33: $i,SV66: $i > $o,SV120: $i,SV102: $i] :
( ( ( ~ ( b @ SV102 @ SV120 ) )
= $true )
| ( ( SV66 @ SV120 )
= $true )
| ( ( a @ SV33 @ SV102 )
= $false )
| ( ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(572,plain,
! [SV33: $i,SV66: $i > $o,SV127: $i,SV112: $i] :
( ( ( ~ ( b @ SV112 @ SV127 )
| ( SV66 @ SV127 ) )
= $true )
| ( ( a @ SV33 @ SV112 )
= $false )
| ( ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(573,plain,
! [SV16: $i,SV49: $i > $o,SV114: $i,SV88: $i] :
( ( ( a @ SV88 @ SV114 )
= $false )
| ( ( SV49 @ SV114 )
= $true )
| ( ( c @ SV16 @ SV88 )
= $false )
| ( ( a @ SV16 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(574,plain,
! [SV16: $i,SV49: $i > $o,SV121: $i,SV104: $i] :
( ( ( ~ ( a @ SV104 @ SV121 ) )
= $true )
| ( ( SV49 @ SV121 )
= $true )
| ( ( c @ SV16 @ SV104 )
= $false )
| ( ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(575,plain,
! [SV69: $i,SV17: $i,SV50: $i > $o,SV89: $i] :
( ( ( c @ SV89 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) )
= $true )
| ( ( a @ SV17 @ SV89 )
= $false )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[546]) ).
thf(576,plain,
! [SV69: $i,SV17: $i,SV89: $i,SV50: $i > $o] :
( ( ( ~ ( SV50 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) ) )
= $true )
| ( ( a @ SV17 @ SV89 )
= $false )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(577,plain,
! [SV70: $i,SV19: $i,SV52: $i > $o,SV90: $i] :
( ( ( a @ SV90 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) )
= $true )
| ( ( b @ SV19 @ SV90 )
= $false )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[548]) ).
thf(578,plain,
! [SV70: $i,SV19: $i,SV90: $i,SV52: $i > $o] :
( ( ( ~ ( SV52 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) ) )
= $true )
| ( ( b @ SV19 @ SV90 )
= $false )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[549]) ).
thf(579,plain,
! [SV20: $i,SV53: $i > $o,SV115: $i,SV91: $i] :
( ( ( fool @ SV91 @ SV115 )
= $false )
| ( ( SV53 @ SV115 )
= $true )
| ( ( fool @ SV20 @ SV91 )
= $false )
| ( ( fool @ SV20 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(580,plain,
! [SV20: $i,SV53: $i > $o,SV122: $i,SV105: $i] :
( ( ( ~ ( fool @ SV105 @ SV122 ) )
= $true )
| ( ( SV53 @ SV122 )
= $true )
| ( ( fool @ SV20 @ SV105 )
= $false )
| ( ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(581,plain,
! [SV71: $i,SV21: $i,SV54: $i > $o,SV92: $i] :
( ( ( c @ SV92 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) )
= $true )
| ( ( b @ SV21 @ SV92 )
= $false )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(582,plain,
! [SV71: $i,SV21: $i,SV92: $i,SV54: $i > $o] :
( ( ( ~ ( SV54 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) ) )
= $true )
| ( ( b @ SV21 @ SV92 )
= $false )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(583,plain,
! [SV72: $i,SV22: $i,SV55: $i > $o,SV93: $i] :
( ( ( b @ SV93 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) )
= $true )
| ( ( a @ SV22 @ SV93 )
= $false )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(584,plain,
! [SV72: $i,SV22: $i,SV93: $i,SV55: $i > $o] :
( ( ( ~ ( SV55 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) ) )
= $true )
| ( ( a @ SV22 @ SV93 )
= $false )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(585,plain,
! [SV73: $i,SV23: $i,SV56: $i > $o,SV94: $i] :
( ( ( a @ SV94 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) )
= $true )
| ( ( c @ SV23 @ SV94 )
= $false )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(586,plain,
! [SV73: $i,SV23: $i,SV94: $i,SV56: $i > $o] :
( ( ( ~ ( SV56 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) ) )
= $true )
| ( ( c @ SV23 @ SV94 )
= $false )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(587,plain,
! [SV24: $i,SV57: $i > $o,SV116: $i,SV95: $i] :
( ( ( c @ SV95 @ SV116 )
= $false )
| ( ( SV57 @ SV116 )
= $true )
| ( ( a @ SV24 @ SV95 )
= $false )
| ( ( c @ SV24 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(588,plain,
! [SV24: $i,SV57: $i > $o,SV123: $i,SV106: $i] :
( ( ( ~ ( c @ SV106 @ SV123 ) )
= $true )
| ( ( SV57 @ SV123 )
= $true )
| ( ( a @ SV24 @ SV106 )
= $false )
| ( ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[559]) ).
thf(589,plain,
( ( c @ sK4_SY1199 @ sK5_SY1201 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(590,plain,
( ( ~ ( ws @ c @ sK5_SY1201 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(591,plain,
! [SV27: $i,SV60: $i > $o,SV117: $i,SV98: $i] :
( ( ( c @ SV98 @ SV117 )
= $false )
| ( ( SV60 @ SV117 )
= $true )
| ( ( b @ SV27 @ SV98 )
= $false )
| ( ( c @ SV27 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(592,plain,
! [SV27: $i,SV60: $i > $o,SV124: $i,SV109: $i] :
( ( ( ~ ( c @ SV109 @ SV124 ) )
= $true )
| ( ( SV60 @ SV124 )
= $true )
| ( ( b @ SV27 @ SV109 )
= $false )
| ( ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[563]) ).
thf(593,plain,
! [SV29: $i,SV62: $i > $o,SV118: $i,SV99: $i] :
( ( ( b @ SV99 @ SV118 )
= $false )
| ( ( SV62 @ SV118 )
= $true )
| ( ( c @ SV29 @ SV99 )
= $false )
| ( ( b @ SV29 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(594,plain,
! [SV29: $i,SV62: $i > $o,SV125: $i,SV110: $i] :
( ( ( ~ ( b @ SV110 @ SV125 ) )
= $true )
| ( ( SV62 @ SV125 )
= $true )
| ( ( c @ SV29 @ SV110 )
= $false )
| ( ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[565]) ).
thf(595,plain,
! [SV31: $i,SV64: $i > $o,SV119: $i,SV100: $i] :
( ( ( a @ SV100 @ SV119 )
= $false )
| ( ( SV64 @ SV119 )
= $true )
| ( ( b @ SV31 @ SV100 )
= $false )
| ( ( a @ SV31 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(596,plain,
! [SV31: $i,SV64: $i > $o,SV126: $i,SV111: $i] :
( ( ( ~ ( a @ SV111 @ SV126 ) )
= $true )
| ( ( SV64 @ SV126 )
= $true )
| ( ( b @ SV31 @ SV111 )
= $false )
| ( ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(597,plain,
! [SV74: $i,SV32: $i,SV65: $i > $o,SV101: $i] :
( ( ( b @ SV101 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) )
= $true )
| ( ( c @ SV32 @ SV101 )
= $false )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[569]) ).
thf(598,plain,
! [SV74: $i,SV32: $i,SV101: $i,SV65: $i > $o] :
( ( ( ~ ( SV65 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) ) )
= $true )
| ( ( c @ SV32 @ SV101 )
= $false )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(599,plain,
! [SV33: $i,SV66: $i > $o,SV120: $i,SV102: $i] :
( ( ( b @ SV102 @ SV120 )
= $false )
| ( ( SV66 @ SV120 )
= $true )
| ( ( a @ SV33 @ SV102 )
= $false )
| ( ( b @ SV33 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(600,plain,
! [SV33: $i,SV66: $i > $o,SV127: $i,SV112: $i] :
( ( ( ~ ( b @ SV112 @ SV127 ) )
= $true )
| ( ( SV66 @ SV127 )
= $true )
| ( ( a @ SV33 @ SV112 )
= $false )
| ( ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(601,plain,
! [SV16: $i,SV49: $i > $o,SV121: $i,SV104: $i] :
( ( ( a @ SV104 @ SV121 )
= $false )
| ( ( SV49 @ SV121 )
= $true )
| ( ( c @ SV16 @ SV104 )
= $false )
| ( ( SV49 @ ( sK18_SY627 @ SV49 @ SV16 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(602,plain,
! [SV69: $i,SV17: $i,SV89: $i,SV50: $i > $o] :
( ( ( SV50 @ ( sK9_SY173 @ SV89 @ SV50 @ SV17 ) )
= $false )
| ( ( a @ SV17 @ SV89 )
= $false )
| ( ( SV50 @ SV69 )
= $true )
| ( ( c @ SV17 @ SV69 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(603,plain,
! [SV70: $i,SV19: $i,SV90: $i,SV52: $i > $o] :
( ( ( SV52 @ ( sK13_SY381 @ SV90 @ SV52 @ SV19 ) )
= $false )
| ( ( b @ SV19 @ SV90 )
= $false )
| ( ( SV52 @ SV70 )
= $true )
| ( ( a @ SV19 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(604,plain,
! [SV20: $i,SV53: $i > $o,SV122: $i,SV105: $i] :
( ( ( fool @ SV105 @ SV122 )
= $false )
| ( ( SV53 @ SV122 )
= $true )
| ( ( fool @ SV20 @ SV105 )
= $false )
| ( ( SV53 @ ( sK23_SY834 @ SV53 @ SV20 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(605,plain,
! [SV71: $i,SV21: $i,SV92: $i,SV54: $i > $o] :
( ( ( SV54 @ ( sK8_SY121 @ SV92 @ SV54 @ SV21 ) )
= $false )
| ( ( b @ SV21 @ SV92 )
= $false )
| ( ( SV54 @ SV71 )
= $true )
| ( ( c @ SV21 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(606,plain,
! [SV72: $i,SV22: $i,SV93: $i,SV55: $i > $o] :
( ( ( SV55 @ ( sK11_SY277 @ SV93 @ SV55 @ SV22 ) )
= $false )
| ( ( a @ SV22 @ SV93 )
= $false )
| ( ( SV55 @ SV72 )
= $true )
| ( ( b @ SV22 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(607,plain,
! [SV73: $i,SV23: $i,SV94: $i,SV56: $i > $o] :
( ( ( SV56 @ ( sK12_SY329 @ SV94 @ SV56 @ SV23 ) )
= $false )
| ( ( c @ SV23 @ SV94 )
= $false )
| ( ( SV56 @ SV73 )
= $true )
| ( ( a @ SV23 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(608,plain,
! [SV24: $i,SV57: $i > $o,SV123: $i,SV106: $i] :
( ( ( c @ SV106 @ SV123 )
= $false )
| ( ( SV57 @ SV123 )
= $true )
| ( ( a @ SV24 @ SV106 )
= $false )
| ( ( SV57 @ ( sK15_SY483 @ SV57 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(609,plain,
( ( ws @ c @ sK5_SY1201 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(610,plain,
! [SV27: $i,SV60: $i > $o,SV124: $i,SV109: $i] :
( ( ( c @ SV109 @ SV124 )
= $false )
| ( ( SV60 @ SV124 )
= $true )
| ( ( b @ SV27 @ SV109 )
= $false )
| ( ( SV60 @ ( sK14_SY435 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(611,plain,
! [SV29: $i,SV62: $i > $o,SV125: $i,SV110: $i] :
( ( ( b @ SV110 @ SV125 )
= $false )
| ( ( SV62 @ SV125 )
= $true )
| ( ( c @ SV29 @ SV110 )
= $false )
| ( ( SV62 @ ( sK16_SY531 @ SV62 @ SV29 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(612,plain,
! [SV31: $i,SV64: $i > $o,SV126: $i,SV111: $i] :
( ( ( a @ SV111 @ SV126 )
= $false )
| ( ( SV64 @ SV126 )
= $true )
| ( ( b @ SV31 @ SV111 )
= $false )
| ( ( SV64 @ ( sK19_SY675 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(613,plain,
! [SV74: $i,SV32: $i,SV101: $i,SV65: $i > $o] :
( ( ( SV65 @ ( sK10_SY225 @ SV101 @ SV65 @ SV32 ) )
= $false )
| ( ( c @ SV32 @ SV101 )
= $false )
| ( ( SV65 @ SV74 )
= $true )
| ( ( b @ SV32 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(614,plain,
! [SV33: $i,SV66: $i > $o,SV127: $i,SV112: $i] :
( ( ( b @ SV112 @ SV127 )
= $false )
| ( ( SV66 @ SV127 )
= $true )
| ( ( a @ SV33 @ SV112 )
= $false )
| ( ( SV66 @ ( sK17_SY579 @ SV66 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(615,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[192,614,613,612,611,610,609,608,607,606,605,604,603,602,601,599,597,595,593,591,589,587,585,583,581,579,577,575,573,566,543,536,531,530,516,503,501,499,487,486,485,484,483,482,481,480,479,478,477,476,449,423,406,390,378,370,344,251]) ).
thf(616,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ087^2 : 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
% 0.11/0.17 % Computer : n005.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 13:59:29 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.84/3.51
% 19.84/3.51 No.of.Axioms: 34
% 19.84/3.51
% 19.84/3.51 Length.of.Defs: 5491
% 19.84/3.51
% 19.84/3.51 Contains.Choice.Funs: false
% 19.84/3.51 ................................
% 19.84/3.51
% 19.84/3.51 ********************************
% 19.84/3.51 * All subproblems solved! *
% 19.84/3.51 ********************************
% 19.84/3.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:34,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:615,loop_count:0,foatp_calls:1,translation:fof_full)
% 19.84/3.51
% 19.84/3.51 %**** Beginning of derivation protocol ****
% 19.84/3.51 % SZS output start CNFRefutation
% See solution above
% 19.84/3.52
% 19.84/3.52 %**** End of derivation protocol ****
% 19.84/3.52 %**** no. of clauses in derivation: 616 ****
% 19.84/3.52 %**** clause counter: 615 ****
% 19.84/3.52
% 19.84/3.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:34,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:615,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------