TSTP Solution File: PUZ087^2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ087^2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:19:36 EDT 2022
% Result : Theorem 0.43s 0.61s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 130
% Syntax : Number of formulae : 666 ( 193 unt; 63 typ; 32 def)
% Number of atoms : 5059 (1274 equ; 0 cnn)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 7452 (1177 ~;1518 |; 8 &;4741 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 592 ( 592 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 62 usr; 7 con; 0-4 aty)
% Number of variables : 1945 ( 84 ^1855 !; 6 ?;1945 :)
% 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_SY137,type,
sK10_SY137: ( $i > $o ) > $i > $i ).
thf(tp_sK11_SY143,type,
sK11_SY143: ( $i > $o ) > $i > $i ).
thf(tp_sK12_SY146,type,
sK12_SY146: ( $i > $o ) > $i > $i ).
thf(tp_sK13_SY153,type,
sK13_SY153: ( $i > $o ) > $i > $i ).
thf(tp_sK14_SY155,type,
sK14_SY155: ( $i > $o ) > $i > $i ).
thf(tp_sK15_SY145,type,
sK15_SY145: $i > $i > $i ).
thf(tp_sK16_SY164,type,
sK16_SY164: $i ).
thf(tp_sK17_SY167,type,
sK17_SY167: $i ).
thf(tp_sK18_SY166,type,
sK18_SY166: $i > $i > $i > $i ).
thf(tp_sK19_SY182,type,
sK19_SY182: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY183,type,
sK20_SY183: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK21_SY184,type,
sK21_SY184: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK22_SY185,type,
sK22_SY185: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK23_SY186,type,
sK23_SY186: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK24_SY187,type,
sK24_SY187: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK2_SY106,type,
sK2_SY106: $i ).
thf(tp_sK3_SY161,type,
sK3_SY161: $i ).
thf(tp_sK4_SY115,type,
sK4_SY115: ( $i > $o ) > $i > $i ).
thf(tp_sK5_SY119,type,
sK5_SY119: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SY122,type,
sK6_SY122: ( $i > $o ) > $i > $i ).
thf(tp_sK7_SY125,type,
sK7_SY125: ( $i > $o ) > $i > $i ).
thf(tp_sK8_SY128,type,
sK8_SY128: ( $i > $o ) > $i > $i ).
thf(tp_sK9_SY131,type,
sK9_SY131: ( $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/sandbox/benchmark/theBenchmark.p',irreflexive) ).
thf(mand,definition,
( mand
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mor @ ( mnot @ Phi ) @ ( mnot @ Psi ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mbox) ).
thf(mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mcountersatisfiable) ).
thf(mdia,definition,
( mdia
= ( ^ [R: $i > $i > $o,Phi: $i > $o] : ( mnot @ ( mbox @ R @ ( mnot @ Phi ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia) ).
thf(meq_ind,definition,
( meq_ind
= ( ^ [X: mu,Y: mu,W: $i] : ( X = Y ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mexists_prop) ).
thf(mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mfalse) ).
thf(mforall_ind,definition,
( mforall_ind
= ( ^ [Phi: mu > $i > $o,W: $i] :
! [X: mu] : ( Phi @ X @ W ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mfunctional) ).
thf(mimplied,definition,
( mimplied
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Psi ) @ Phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplied) ).
thf(mimplies,definition,
( mimplies
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies) ).
thf(minvalid,definition,
( minvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',minvalid) ).
thf(mnot,definition,
( mnot
= ( ^ [Phi: $i > $o,W: $i] :
~ ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot) ).
thf(mor,definition,
( mor
= ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
( ( Phi @ W )
| ( Psi @ W ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mpartially_functional) ).
thf(mreflexive,definition,
( mreflexive
= ( ^ [R: $i > $i > $o] :
! [S: $i] : ( R @ S @ S ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mreflexive) ).
thf(msatisfiable,definition,
( msatisfiable
= ( ^ [Phi: $i > $o] :
? [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',msatisfiable) ).
thf(mserial,definition,
( mserial
= ( ^ [R: $i > $i > $o] :
! [S: $i] :
? [T: $i] : ( R @ S @ T ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mtransitive) ).
thf(mtrue,definition,
( mtrue
= ( ^ [W: $i] : $true ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mtrue) ).
thf(mvalid,definition,
( mvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mweakly_directed) ).
thf(mxor,definition,
( mxor
= ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mnot @ ( mequiv @ Phi @ Psi ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxor) ).
thf(1,axiom,
mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(2,axiom,
mvalid @ ( mbox @ priorG @ ( mnot @ ( mbox @ a @ ( ws @ a ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',k_axiom_for_fool) ).
thf(19,axiom,
( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_3_a_b) ).
thf(26,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ b @ ( ws @ c ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_c_b) ).
thf(27,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ a @ ( ws @ c ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_c_a) ).
thf(28,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ c @ ( ws @ b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_b_c) ).
thf(29,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ a @ ( ws @ b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_b_a) ).
thf(30,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ c @ ( ws @ a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_a_c) ).
thf(31,axiom,
mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ b @ ( ws @ a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2_a_b) ).
thf(32,axiom,
mvalid @ ( mbox @ fool @ ( mor @ ( ws @ a ) @ ( mor @ ( ws @ b ) @ ( ws @ c ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(33,axiom,
mtransitive @ priorG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_priorG_transitive) ).
thf(34,axiom,
irreflexive @ priorG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_priorG_irreflexive) ).
thf(35,conjecture,
mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ c @ ( ws @ c ) ) ) ) ),
file('/export/starexec/sandbox/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,
( ( ~ ( mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ c @ ( ws @ c ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[36]) ).
thf(38,plain,
( ( irreflexive @ priorG )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(39,plain,
( ( mtransitive @ priorG )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(40,plain,
( ( mvalid @ ( mbox @ fool @ ( mor @ ( ws @ a ) @ ( mor @ ( ws @ b ) @ ( ws @ c ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(41,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ b @ ( ws @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(42,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ c @ ( ws @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(43,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ a @ ( ws @ b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(44,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ c @ ( ws @ b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(45,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ a @ ( ws @ c ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(46,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ b @ ( ws @ c ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(47,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ b @ ( mnot @ ( ws @ a ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(48,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ c @ ( mnot @ ( ws @ a ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(49,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ b ) ) @ ( mbox @ a @ ( mnot @ ( ws @ b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(50,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ b ) ) @ ( mbox @ c @ ( mnot @ ( ws @ b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(51,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ a @ ( mnot @ ( ws @ c ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(52,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ b @ ( mnot @ ( ws @ c ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(53,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(54,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ ( mbox @ fool @ ( mbox @ fool @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(55,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ a @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(56,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ b @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(57,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ c @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(58,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ a @ Phi ) @ ( mbox @ b @ ( mbox @ a @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(59,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ a @ Phi ) @ ( mbox @ c @ ( mbox @ a @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(60,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ b @ Phi ) @ ( mbox @ a @ ( mbox @ b @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(61,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ b @ Phi ) @ ( mbox @ c @ ( mbox @ b @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(62,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ c @ Phi ) @ ( mbox @ a @ ( mbox @ c @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(63,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ c @ Phi ) @ ( mbox @ b @ ( mbox @ c @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(64,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a @ Phi ) ) @ ( mbox @ b @ ( mnot @ ( mbox @ a @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(65,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ a @ Phi ) ) @ ( mbox @ c @ ( mnot @ ( mbox @ a @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(66,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ b @ Phi ) ) @ ( mbox @ a @ ( mnot @ ( mbox @ b @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(67,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ b @ Phi ) ) @ ( mbox @ c @ ( mnot @ ( mbox @ b @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(68,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ c @ Phi ) ) @ ( mbox @ a @ ( mnot @ ( mbox @ c @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(69,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mnot @ ( mbox @ c @ Phi ) ) @ ( mbox @ b @ ( mnot @ ( mbox @ c @ Phi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[3]) ).
thf(70,plain,
( ( mvalid @ ( mbox @ priorG @ ( mnot @ ( mbox @ a @ ( ws @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(71,plain,
( ( mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(72,plain,
( ( ~ ( mvalid @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ priorG @ ( mbox @ c @ ( ws @ c ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(73,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ws @ b @ SX1 )
| ! [SX2: $i] :
( ~ ( a @ SX1 @ SX2 )
| ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43,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(74,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66,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(75,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( priorG @ SX0 @ SX1 )
| ~ ( priorG @ SX1 @ SX2 ) )
| ( priorG @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39,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(76,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ws @ c @ SX1 )
| ! [SX2: $i] :
( ~ ( b @ SX1 @ SX2 )
| ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46,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(77,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ws @ a @ SX1 )
| ! [SX2: $i] :
( ~ ( c @ SX1 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42,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(78,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ws @ a @ SX1 )
| ! [SX2: $i] :
( ~ ( b @ SX1 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41,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(79,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( a @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64,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(80,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( priorG @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( priorG @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( priorG @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( c @ SX3 @ SX4 )
| ( ws @ c @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72,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(81,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ws @ b @ SX1 )
| ! [SX2: $i] :
( ~ ( c @ SX1 @ SX2 )
| ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44,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(82,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ~ ( ws @ a @ SX1 )
| ! [SX2: $i] :
( ~ ( b @ SX1 @ SX2 )
| ~ ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47,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(83,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( a @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65,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(84,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53,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(85,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( priorG @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( priorG @ SX1 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( ws @ b @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71,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(86,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ~ ( ws @ a @ SX1 )
| ! [SX2: $i] :
( ~ ( c @ SX1 @ SX2 )
| ~ ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48,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(87,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( a @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58,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(88,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61,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(89,plain,
( ( ! [SX0: $i] :
~ ( priorG @ SX0 @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[38,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(90,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( a @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59,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(91,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60,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(92,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55,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(93,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67,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(94,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ( ws @ a @ SX1 )
| ( ws @ b @ SX1 )
| ( ws @ c @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,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(95,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ~ ( ws @ c @ SX1 )
| ! [SX2: $i] :
( ~ ( a @ SX1 @ SX2 )
| ~ ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51,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(96,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( c @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63,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(97,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( c @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68,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(98,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57,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(99,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( priorG @ SX0 @ SX1 )
| ~ ! [SX2: $i] :
( ~ ( a @ SX1 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70,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(100,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( fool @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54,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(101,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ws @ c @ SX1 )
| ! [SX2: $i] :
( ~ ( a @ SX1 @ SX2 )
| ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45,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(102,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ~ ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( c @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69,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(103,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( b @ SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56,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(104,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( c @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ! [SX2: $i] :
( ~ ( a @ SX0 @ SX2 )
| ! [SX3: $i] :
( ~ ( c @ SX2 @ SX3 )
| ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62,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(105,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ~ ( ws @ c @ SX1 )
| ! [SX2: $i] :
( ~ ( b @ SX1 @ SX2 )
| ~ ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52,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(106,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ~ ( ws @ b @ SX1 )
| ! [SX2: $i] :
( ~ ( a @ SX1 @ SX2 )
| ~ ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,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(107,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ~ ( ws @ b @ SX1 )
| ! [SX2: $i] :
( ~ ( c @ SX1 @ SX2 )
| ~ ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50,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(108,plain,
! [SV1: $i] :
( ( ! [SY0: $i] :
( ~ ( fool @ SV1 @ SY0 )
| ~ ( ws @ b @ SY0 )
| ! [SX2: $i] :
( ~ ( a @ SY0 @ SX2 )
| ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(109,plain,
! [SV2: $i] :
( ( ! [SY2: $i > $o] :
( ~ ~ ! [SY3: $i] :
( ~ ( b @ SV2 @ SY3 )
| ( SY2 @ SY3 ) )
| ! [SY4: $i] :
( ~ ( a @ SV2 @ SY4 )
| ~ ! [SX3: $i] :
( ~ ( b @ SY4 @ SX3 )
| ( SY2 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(110,plain,
! [SV3: $i] :
( ( ! [SY6: $i,SY7: $i] :
( ~ ~ ( ~ ( priorG @ SV3 @ SY6 )
| ~ ( priorG @ SY6 @ SY7 ) )
| ( priorG @ SV3 @ SY7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(111,plain,
! [SV4: $i] :
( ( ! [SY8: $i] :
( ~ ( fool @ SV4 @ SY8 )
| ~ ( ws @ c @ SY8 )
| ! [SX2: $i] :
( ~ ( b @ SY8 @ SX2 )
| ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(112,plain,
! [SV5: $i] :
( ( ! [SY10: $i] :
( ~ ( fool @ SV5 @ SY10 )
| ~ ( ws @ a @ SY10 )
| ! [SX2: $i] :
( ~ ( c @ SY10 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(113,plain,
! [SV6: $i] :
( ( ! [SY12: $i] :
( ~ ( fool @ SV6 @ SY12 )
| ~ ( ws @ a @ SY12 )
| ! [SX2: $i] :
( ~ ( b @ SY12 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(114,plain,
! [SV7: $i] :
( ( ! [SY14: $i > $o] :
( ~ ~ ! [SY15: $i] :
( ~ ( a @ SV7 @ SY15 )
| ( SY14 @ SY15 ) )
| ! [SY16: $i] :
( ~ ( b @ SV7 @ SY16 )
| ~ ! [SX3: $i] :
( ~ ( a @ SY16 @ SX3 )
| ( SY14 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(115,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( priorG @ SX0 @ SX1 )
| ! [SX2: $i] :
( ~ ( priorG @ SX1 @ SX2 )
| ! [SX3: $i] :
( ~ ( priorG @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( c @ SX3 @ SX4 )
| ( ws @ c @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(116,plain,
! [SV8: $i] :
( ( ! [SY18: $i] :
( ~ ( fool @ SV8 @ SY18 )
| ~ ( ws @ b @ SY18 )
| ! [SX2: $i] :
( ~ ( c @ SY18 @ SX2 )
| ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(117,plain,
! [SV9: $i] :
( ( ! [SY20: $i] :
( ~ ( fool @ SV9 @ SY20 )
| ~ ~ ( ws @ a @ SY20 )
| ! [SX2: $i] :
( ~ ( b @ SY20 @ SX2 )
| ~ ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(118,plain,
! [SV10: $i] :
( ( ! [SY22: $i > $o] :
( ~ ~ ! [SY23: $i] :
( ~ ( a @ SV10 @ SY23 )
| ( SY22 @ SY23 ) )
| ! [SY24: $i] :
( ~ ( c @ SV10 @ SY24 )
| ~ ! [SX3: $i] :
( ~ ( a @ SY24 @ SX3 )
| ( SY22 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(119,plain,
! [SV11: $i] :
( ( ! [SY26: $i > $o] :
( ~ ! [SY27: $i] :
( ~ ( fool @ SV11 @ SY27 )
| ( SY26 @ SY27 ) )
| ( SY26 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(120,plain,
! [SV12: $i] :
( ( ! [SY28: $i] :
( ~ ( priorG @ SV12 @ SY28 )
| ! [SX2: $i] :
( ~ ( priorG @ SY28 @ SX2 )
| ~ ! [SX3: $i] :
( ~ ( b @ SX2 @ SX3 )
| ( ws @ b @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(121,plain,
! [SV13: $i] :
( ( ! [SY31: $i] :
( ~ ( fool @ SV13 @ SY31 )
| ~ ~ ( ws @ a @ SY31 )
| ! [SX2: $i] :
( ~ ( c @ SY31 @ SX2 )
| ~ ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(122,plain,
! [SV14: $i] :
( ( ! [SY33: $i > $o] :
( ~ ! [SY34: $i] :
( ~ ( a @ SV14 @ SY34 )
| ( SY33 @ SY34 ) )
| ! [SY35: $i] :
( ~ ( b @ SV14 @ SY35 )
| ! [SX3: $i] :
( ~ ( a @ SY35 @ SX3 )
| ( SY33 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(123,plain,
! [SV15: $i] :
( ( ! [SY37: $i > $o] :
( ~ ! [SY38: $i] :
( ~ ( b @ SV15 @ SY38 )
| ( SY37 @ SY38 ) )
| ! [SY39: $i] :
( ~ ( c @ SV15 @ SY39 )
| ! [SX3: $i] :
( ~ ( b @ SY39 @ SX3 )
| ( SY37 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(124,plain,
! [SV16: $i] :
( ( ~ ( priorG @ SV16 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(125,plain,
! [SV17: $i] :
( ( ! [SY41: $i > $o] :
( ~ ! [SY42: $i] :
( ~ ( a @ SV17 @ SY42 )
| ( SY41 @ SY42 ) )
| ! [SY43: $i] :
( ~ ( c @ SV17 @ SY43 )
| ! [SX3: $i] :
( ~ ( a @ SY43 @ SX3 )
| ( SY41 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(126,plain,
! [SV18: $i] :
( ( ! [SY45: $i > $o] :
( ~ ! [SY46: $i] :
( ~ ( b @ SV18 @ SY46 )
| ( SY45 @ SY46 ) )
| ! [SY47: $i] :
( ~ ( a @ SV18 @ SY47 )
| ! [SX3: $i] :
( ~ ( b @ SY47 @ SX3 )
| ( SY45 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(127,plain,
! [SV19: $i] :
( ( ! [SY49: $i > $o] :
( ~ ! [SY50: $i] :
( ~ ( fool @ SV19 @ SY50 )
| ( SY49 @ SY50 ) )
| ! [SY51: $i] :
( ~ ( a @ SV19 @ SY51 )
| ( SY49 @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(128,plain,
! [SV20: $i] :
( ( ! [SY52: $i > $o] :
( ~ ~ ! [SY53: $i] :
( ~ ( b @ SV20 @ SY53 )
| ( SY52 @ SY53 ) )
| ! [SY54: $i] :
( ~ ( c @ SV20 @ SY54 )
| ~ ! [SX3: $i] :
( ~ ( b @ SY54 @ SX3 )
| ( SY52 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(129,plain,
! [SV21: $i] :
( ( ! [SY56: $i] :
( ~ ( fool @ SV21 @ SY56 )
| ( ws @ a @ SY56 )
| ( ws @ b @ SY56 )
| ( ws @ c @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(130,plain,
! [SV22: $i] :
( ( ! [SY57: $i] :
( ~ ( fool @ SV22 @ SY57 )
| ~ ~ ( ws @ c @ SY57 )
| ! [SX2: $i] :
( ~ ( a @ SY57 @ SX2 )
| ~ ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(131,plain,
! [SV23: $i] :
( ( ! [SY59: $i > $o] :
( ~ ! [SY60: $i] :
( ~ ( c @ SV23 @ SY60 )
| ( SY59 @ SY60 ) )
| ! [SY61: $i] :
( ~ ( b @ SV23 @ SY61 )
| ! [SX3: $i] :
( ~ ( c @ SY61 @ SX3 )
| ( SY59 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(132,plain,
! [SV24: $i] :
( ( ! [SY63: $i > $o] :
( ~ ~ ! [SY64: $i] :
( ~ ( c @ SV24 @ SY64 )
| ( SY63 @ SY64 ) )
| ! [SY65: $i] :
( ~ ( a @ SV24 @ SY65 )
| ~ ! [SX3: $i] :
( ~ ( c @ SY65 @ SX3 )
| ( SY63 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(133,plain,
! [SV25: $i] :
( ( ! [SY67: $i > $o] :
( ~ ! [SY68: $i] :
( ~ ( fool @ SV25 @ SY68 )
| ( SY67 @ SY68 ) )
| ! [SY69: $i] :
( ~ ( c @ SV25 @ SY69 )
| ( SY67 @ SY69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(134,plain,
! [SV26: $i] :
( ( ! [SY70: $i] :
( ~ ( priorG @ SV26 @ SY70 )
| ~ ! [SX2: $i] :
( ~ ( a @ SY70 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(135,plain,
! [SV27: $i] :
( ( ! [SY72: $i > $o] :
( ~ ! [SY73: $i] :
( ~ ( fool @ SV27 @ SY73 )
| ( SY72 @ SY73 ) )
| ! [SY74: $i] :
( ~ ( fool @ SV27 @ SY74 )
| ! [SX3: $i] :
( ~ ( fool @ SY74 @ SX3 )
| ( SY72 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(136,plain,
! [SV28: $i] :
( ( ! [SY76: $i] :
( ~ ( fool @ SV28 @ SY76 )
| ~ ( ws @ c @ SY76 )
| ! [SX2: $i] :
( ~ ( a @ SY76 @ SX2 )
| ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(137,plain,
! [SV29: $i] :
( ( ! [SY78: $i > $o] :
( ~ ~ ! [SY79: $i] :
( ~ ( c @ SV29 @ SY79 )
| ( SY78 @ SY79 ) )
| ! [SY80: $i] :
( ~ ( b @ SV29 @ SY80 )
| ~ ! [SX3: $i] :
( ~ ( c @ SY80 @ SX3 )
| ( SY78 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(138,plain,
! [SV30: $i] :
( ( ! [SY82: $i > $o] :
( ~ ! [SY83: $i] :
( ~ ( fool @ SV30 @ SY83 )
| ( SY82 @ SY83 ) )
| ! [SY84: $i] :
( ~ ( b @ SV30 @ SY84 )
| ( SY82 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(139,plain,
! [SV31: $i] :
( ( ! [SY85: $i > $o] :
( ~ ! [SY86: $i] :
( ~ ( c @ SV31 @ SY86 )
| ( SY85 @ SY86 ) )
| ! [SY87: $i] :
( ~ ( a @ SV31 @ SY87 )
| ! [SX3: $i] :
( ~ ( c @ SY87 @ SX3 )
| ( SY85 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(140,plain,
! [SV32: $i] :
( ( ! [SY89: $i] :
( ~ ( fool @ SV32 @ SY89 )
| ~ ~ ( ws @ c @ SY89 )
| ! [SX2: $i] :
( ~ ( b @ SY89 @ SX2 )
| ~ ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(141,plain,
! [SV33: $i] :
( ( ! [SY91: $i] :
( ~ ( fool @ SV33 @ SY91 )
| ~ ~ ( ws @ b @ SY91 )
| ! [SX2: $i] :
( ~ ( a @ SY91 @ SX2 )
| ~ ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(142,plain,
! [SV34: $i] :
( ( ! [SY93: $i] :
( ~ ( fool @ SV34 @ SY93 )
| ~ ~ ( ws @ b @ SY93 )
| ! [SX2: $i] :
( ~ ( c @ SY93 @ SX2 )
| ~ ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(143,plain,
! [SV35: $i,SV1: $i] :
( ( ~ ( fool @ SV1 @ SV35 )
| ~ ( ws @ b @ SV35 )
| ! [SY95: $i] :
( ~ ( a @ SV35 @ SY95 )
| ( ws @ b @ SY95 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(144,plain,
! [SV36: $i > $o,SV2: $i] :
( ( ~ ~ ! [SY96: $i] :
( ~ ( b @ SV2 @ SY96 )
| ( SV36 @ SY96 ) )
| ! [SY97: $i] :
( ~ ( a @ SV2 @ SY97 )
| ~ ! [SY98: $i] :
( ~ ( b @ SY97 @ SY98 )
| ( SV36 @ SY98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(145,plain,
! [SV37: $i,SV3: $i] :
( ( ! [SY99: $i] :
( ~ ~ ( ~ ( priorG @ SV3 @ SV37 )
| ~ ( priorG @ SV37 @ SY99 ) )
| ( priorG @ SV3 @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(146,plain,
! [SV38: $i,SV4: $i] :
( ( ~ ( fool @ SV4 @ SV38 )
| ~ ( ws @ c @ SV38 )
| ! [SY100: $i] :
( ~ ( b @ SV38 @ SY100 )
| ( ws @ c @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(147,plain,
! [SV39: $i,SV5: $i] :
( ( ~ ( fool @ SV5 @ SV39 )
| ~ ( ws @ a @ SV39 )
| ! [SY101: $i] :
( ~ ( c @ SV39 @ SY101 )
| ( ws @ a @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(148,plain,
! [SV40: $i,SV6: $i] :
( ( ~ ( fool @ SV6 @ SV40 )
| ~ ( ws @ a @ SV40 )
| ! [SY102: $i] :
( ~ ( b @ SV40 @ SY102 )
| ( ws @ a @ SY102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(149,plain,
! [SV41: $i > $o,SV7: $i] :
( ( ~ ~ ! [SY103: $i] :
( ~ ( a @ SV7 @ SY103 )
| ( SV41 @ SY103 ) )
| ! [SY104: $i] :
( ~ ( b @ SV7 @ SY104 )
| ~ ! [SY105: $i] :
( ~ ( a @ SY104 @ SY105 )
| ( SV41 @ SY105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(150,plain,
( ( ! [SY106: $i] :
( ~ ( priorG @ sK1_SX0 @ SY106 )
| ! [SX2: $i] :
( ~ ( priorG @ SY106 @ SX2 )
| ! [SX3: $i] :
( ~ ( priorG @ SX2 @ SX3 )
| ! [SX4: $i] :
( ~ ( c @ SX3 @ SX4 )
| ( ws @ c @ SX4 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[115]) ).
thf(151,plain,
! [SV42: $i,SV8: $i] :
( ( ~ ( fool @ SV8 @ SV42 )
| ~ ( ws @ b @ SV42 )
| ! [SY110: $i] :
( ~ ( c @ SV42 @ SY110 )
| ( ws @ b @ SY110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(152,plain,
! [SV43: $i,SV9: $i] :
( ( ~ ( fool @ SV9 @ SV43 )
| ~ ~ ( ws @ a @ SV43 )
| ! [SY111: $i] :
( ~ ( b @ SV43 @ SY111 )
| ~ ( ws @ a @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(153,plain,
! [SV44: $i > $o,SV10: $i] :
( ( ~ ~ ! [SY112: $i] :
( ~ ( a @ SV10 @ SY112 )
| ( SV44 @ SY112 ) )
| ! [SY113: $i] :
( ~ ( c @ SV10 @ SY113 )
| ~ ! [SY114: $i] :
( ~ ( a @ SY113 @ SY114 )
| ( SV44 @ SY114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(154,plain,
! [SV45: $i > $o,SV11: $i] :
( ( ~ ! [SY115: $i] :
( ~ ( fool @ SV11 @ SY115 )
| ( SV45 @ SY115 ) )
| ( SV45 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(155,plain,
! [SV46: $i,SV12: $i] :
( ( ~ ( priorG @ SV12 @ SV46 )
| ! [SY116: $i] :
( ~ ( priorG @ SV46 @ SY116 )
| ~ ! [SX3: $i] :
( ~ ( b @ SY116 @ SX3 )
| ( ws @ b @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(156,plain,
! [SV47: $i,SV13: $i] :
( ( ~ ( fool @ SV13 @ SV47 )
| ~ ~ ( ws @ a @ SV47 )
| ! [SY118: $i] :
( ~ ( c @ SV47 @ SY118 )
| ~ ( ws @ a @ SY118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(157,plain,
! [SV48: $i > $o,SV14: $i] :
( ( ~ ! [SY119: $i] :
( ~ ( a @ SV14 @ SY119 )
| ( SV48 @ SY119 ) )
| ! [SY120: $i] :
( ~ ( b @ SV14 @ SY120 )
| ! [SY121: $i] :
( ~ ( a @ SY120 @ SY121 )
| ( SV48 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(158,plain,
! [SV49: $i > $o,SV15: $i] :
( ( ~ ! [SY122: $i] :
( ~ ( b @ SV15 @ SY122 )
| ( SV49 @ SY122 ) )
| ! [SY123: $i] :
( ~ ( c @ SV15 @ SY123 )
| ! [SY124: $i] :
( ~ ( b @ SY123 @ SY124 )
| ( SV49 @ SY124 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(159,plain,
! [SV16: $i] :
( ( priorG @ SV16 @ SV16 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(160,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ~ ! [SY125: $i] :
( ~ ( a @ SV17 @ SY125 )
| ( SV50 @ SY125 ) )
| ! [SY126: $i] :
( ~ ( c @ SV17 @ SY126 )
| ! [SY127: $i] :
( ~ ( a @ SY126 @ SY127 )
| ( SV50 @ SY127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(161,plain,
! [SV51: $i > $o,SV18: $i] :
( ( ~ ! [SY128: $i] :
( ~ ( b @ SV18 @ SY128 )
| ( SV51 @ SY128 ) )
| ! [SY129: $i] :
( ~ ( a @ SV18 @ SY129 )
| ! [SY130: $i] :
( ~ ( b @ SY129 @ SY130 )
| ( SV51 @ SY130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(162,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ~ ! [SY131: $i] :
( ~ ( fool @ SV19 @ SY131 )
| ( SV52 @ SY131 ) )
| ! [SY132: $i] :
( ~ ( a @ SV19 @ SY132 )
| ( SV52 @ SY132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(163,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ~ ~ ! [SY133: $i] :
( ~ ( b @ SV20 @ SY133 )
| ( SV53 @ SY133 ) )
| ! [SY134: $i] :
( ~ ( c @ SV20 @ SY134 )
| ~ ! [SY135: $i] :
( ~ ( b @ SY134 @ SY135 )
| ( SV53 @ SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(164,plain,
! [SV54: $i,SV21: $i] :
( ( ~ ( fool @ SV21 @ SV54 )
| ( ws @ a @ SV54 )
| ( ws @ b @ SV54 )
| ( ws @ c @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(165,plain,
! [SV55: $i,SV22: $i] :
( ( ~ ( fool @ SV22 @ SV55 )
| ~ ~ ( ws @ c @ SV55 )
| ! [SY136: $i] :
( ~ ( a @ SV55 @ SY136 )
| ~ ( ws @ c @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(166,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ~ ! [SY137: $i] :
( ~ ( c @ SV23 @ SY137 )
| ( SV56 @ SY137 ) )
| ! [SY138: $i] :
( ~ ( b @ SV23 @ SY138 )
| ! [SY139: $i] :
( ~ ( c @ SY138 @ SY139 )
| ( SV56 @ SY139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(167,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ~ ~ ! [SY140: $i] :
( ~ ( c @ SV24 @ SY140 )
| ( SV57 @ SY140 ) )
| ! [SY141: $i] :
( ~ ( a @ SV24 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( c @ SY141 @ SY142 )
| ( SV57 @ SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(168,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ~ ! [SY143: $i] :
( ~ ( fool @ SV25 @ SY143 )
| ( SV58 @ SY143 ) )
| ! [SY144: $i] :
( ~ ( c @ SV25 @ SY144 )
| ( SV58 @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(169,plain,
! [SV59: $i,SV26: $i] :
( ( ~ ( priorG @ SV26 @ SV59 )
| ~ ! [SY145: $i] :
( ~ ( a @ SV59 @ SY145 )
| ( ws @ a @ SY145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(170,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ~ ! [SY146: $i] :
( ~ ( fool @ SV27 @ SY146 )
| ( SV60 @ SY146 ) )
| ! [SY147: $i] :
( ~ ( fool @ SV27 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV60 @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(171,plain,
! [SV61: $i,SV28: $i] :
( ( ~ ( fool @ SV28 @ SV61 )
| ~ ( ws @ c @ SV61 )
| ! [SY149: $i] :
( ~ ( a @ SV61 @ SY149 )
| ( ws @ c @ SY149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(172,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ~ ~ ! [SY150: $i] :
( ~ ( c @ SV29 @ SY150 )
| ( SV62 @ SY150 ) )
| ! [SY151: $i] :
( ~ ( b @ SV29 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( c @ SY151 @ SY152 )
| ( SV62 @ SY152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(173,plain,
! [SV63: $i > $o,SV30: $i] :
( ( ~ ! [SY153: $i] :
( ~ ( fool @ SV30 @ SY153 )
| ( SV63 @ SY153 ) )
| ! [SY154: $i] :
( ~ ( b @ SV30 @ SY154 )
| ( SV63 @ SY154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(174,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ~ ! [SY155: $i] :
( ~ ( c @ SV31 @ SY155 )
| ( SV64 @ SY155 ) )
| ! [SY156: $i] :
( ~ ( a @ SV31 @ SY156 )
| ! [SY157: $i] :
( ~ ( c @ SY156 @ SY157 )
| ( SV64 @ SY157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(175,plain,
! [SV65: $i,SV32: $i] :
( ( ~ ( fool @ SV32 @ SV65 )
| ~ ~ ( ws @ c @ SV65 )
| ! [SY158: $i] :
( ~ ( b @ SV65 @ SY158 )
| ~ ( ws @ c @ SY158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(176,plain,
! [SV66: $i,SV33: $i] :
( ( ~ ( fool @ SV33 @ SV66 )
| ~ ~ ( ws @ b @ SV66 )
| ! [SY159: $i] :
( ~ ( a @ SV66 @ SY159 )
| ~ ( ws @ b @ SY159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(177,plain,
! [SV67: $i,SV34: $i] :
( ( ~ ( fool @ SV34 @ SV67 )
| ~ ~ ( ws @ b @ SV67 )
| ! [SY160: $i] :
( ~ ( c @ SV67 @ SY160 )
| ~ ( ws @ b @ SY160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(178,plain,
! [SV35: $i,SV1: $i] :
( ( ( ~ ( fool @ SV1 @ SV35 ) )
= $true )
| ( ( ~ ( ws @ b @ SV35 )
| ! [SY95: $i] :
( ~ ( a @ SV35 @ SY95 )
| ( ws @ b @ SY95 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(179,plain,
! [SV36: $i > $o,SV2: $i] :
( ( ( ~ ~ ! [SY96: $i] :
( ~ ( b @ SV2 @ SY96 )
| ( SV36 @ SY96 ) ) )
= $true )
| ( ( ! [SY97: $i] :
( ~ ( a @ SV2 @ SY97 )
| ~ ! [SY98: $i] :
( ~ ( b @ SY97 @ SY98 )
| ( SV36 @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(180,plain,
! [SV68: $i,SV37: $i,SV3: $i] :
( ( ~ ~ ( ~ ( priorG @ SV3 @ SV37 )
| ~ ( priorG @ SV37 @ SV68 ) )
| ( priorG @ SV3 @ SV68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(181,plain,
! [SV38: $i,SV4: $i] :
( ( ( ~ ( fool @ SV4 @ SV38 ) )
= $true )
| ( ( ~ ( ws @ c @ SV38 )
| ! [SY100: $i] :
( ~ ( b @ SV38 @ SY100 )
| ( ws @ c @ SY100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(182,plain,
! [SV39: $i,SV5: $i] :
( ( ( ~ ( fool @ SV5 @ SV39 ) )
= $true )
| ( ( ~ ( ws @ a @ SV39 )
| ! [SY101: $i] :
( ~ ( c @ SV39 @ SY101 )
| ( ws @ a @ SY101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(183,plain,
! [SV40: $i,SV6: $i] :
( ( ( ~ ( fool @ SV6 @ SV40 ) )
= $true )
| ( ( ~ ( ws @ a @ SV40 )
| ! [SY102: $i] :
( ~ ( b @ SV40 @ SY102 )
| ( ws @ a @ SY102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(184,plain,
! [SV41: $i > $o,SV7: $i] :
( ( ( ~ ~ ! [SY103: $i] :
( ~ ( a @ SV7 @ SY103 )
| ( SV41 @ SY103 ) ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( b @ SV7 @ SY104 )
| ~ ! [SY105: $i] :
( ~ ( a @ SY104 @ SY105 )
| ( SV41 @ SY105 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(185,plain,
( ( ~ ( priorG @ sK1_SX0 @ sK2_SY106 )
| ! [SY161: $i] :
( ~ ( priorG @ sK2_SY106 @ SY161 )
| ! [SX3: $i] :
( ~ ( priorG @ SY161 @ SX3 )
| ! [SX4: $i] :
( ~ ( c @ SX3 @ SX4 )
| ( ws @ c @ SX4 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[150]) ).
thf(186,plain,
! [SV42: $i,SV8: $i] :
( ( ( ~ ( fool @ SV8 @ SV42 ) )
= $true )
| ( ( ~ ( ws @ b @ SV42 )
| ! [SY110: $i] :
( ~ ( c @ SV42 @ SY110 )
| ( ws @ b @ SY110 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(187,plain,
! [SV43: $i,SV9: $i] :
( ( ( ~ ( fool @ SV9 @ SV43 ) )
= $true )
| ( ( ~ ~ ( ws @ a @ SV43 )
| ! [SY111: $i] :
( ~ ( b @ SV43 @ SY111 )
| ~ ( ws @ a @ SY111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(188,plain,
! [SV44: $i > $o,SV10: $i] :
( ( ( ~ ~ ! [SY112: $i] :
( ~ ( a @ SV10 @ SY112 )
| ( SV44 @ SY112 ) ) )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV10 @ SY113 )
| ~ ! [SY114: $i] :
( ~ ( a @ SY113 @ SY114 )
| ( SV44 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(189,plain,
! [SV45: $i > $o,SV11: $i] :
( ( ( ~ ! [SY115: $i] :
( ~ ( fool @ SV11 @ SY115 )
| ( SV45 @ SY115 ) ) )
= $true )
| ( ( SV45 @ SV11 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(190,plain,
! [SV46: $i,SV12: $i] :
( ( ( ~ ( priorG @ SV12 @ SV46 ) )
= $true )
| ( ( ! [SY116: $i] :
( ~ ( priorG @ SV46 @ SY116 )
| ~ ! [SX3: $i] :
( ~ ( b @ SY116 @ SX3 )
| ( ws @ b @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(191,plain,
! [SV47: $i,SV13: $i] :
( ( ( ~ ( fool @ SV13 @ SV47 ) )
= $true )
| ( ( ~ ~ ( ws @ a @ SV47 )
| ! [SY118: $i] :
( ~ ( c @ SV47 @ SY118 )
| ~ ( ws @ a @ SY118 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(192,plain,
! [SV48: $i > $o,SV14: $i] :
( ( ( ~ ! [SY119: $i] :
( ~ ( a @ SV14 @ SY119 )
| ( SV48 @ SY119 ) ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( b @ SV14 @ SY120 )
| ! [SY121: $i] :
( ~ ( a @ SY120 @ SY121 )
| ( SV48 @ SY121 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(193,plain,
! [SV49: $i > $o,SV15: $i] :
( ( ( ~ ! [SY122: $i] :
( ~ ( b @ SV15 @ SY122 )
| ( SV49 @ SY122 ) ) )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV15 @ SY123 )
| ! [SY124: $i] :
( ~ ( b @ SY123 @ SY124 )
| ( SV49 @ SY124 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(194,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ( ~ ! [SY125: $i] :
( ~ ( a @ SV17 @ SY125 )
| ( SV50 @ SY125 ) ) )
= $true )
| ( ( ! [SY126: $i] :
( ~ ( c @ SV17 @ SY126 )
| ! [SY127: $i] :
( ~ ( a @ SY126 @ SY127 )
| ( SV50 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(195,plain,
! [SV51: $i > $o,SV18: $i] :
( ( ( ~ ! [SY128: $i] :
( ~ ( b @ SV18 @ SY128 )
| ( SV51 @ SY128 ) ) )
= $true )
| ( ( ! [SY129: $i] :
( ~ ( a @ SV18 @ SY129 )
| ! [SY130: $i] :
( ~ ( b @ SY129 @ SY130 )
| ( SV51 @ SY130 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(196,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ( ~ ! [SY131: $i] :
( ~ ( fool @ SV19 @ SY131 )
| ( SV52 @ SY131 ) ) )
= $true )
| ( ( ! [SY132: $i] :
( ~ ( a @ SV19 @ SY132 )
| ( SV52 @ SY132 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(197,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ( ~ ~ ! [SY133: $i] :
( ~ ( b @ SV20 @ SY133 )
| ( SV53 @ SY133 ) ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( c @ SV20 @ SY134 )
| ~ ! [SY135: $i] :
( ~ ( b @ SY134 @ SY135 )
| ( SV53 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(198,plain,
! [SV54: $i,SV21: $i] :
( ( ( ~ ( fool @ SV21 @ SV54 ) )
= $true )
| ( ( ( ws @ a @ SV54 )
| ( ws @ b @ SV54 )
| ( ws @ c @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(199,plain,
! [SV55: $i,SV22: $i] :
( ( ( ~ ( fool @ SV22 @ SV55 ) )
= $true )
| ( ( ~ ~ ( ws @ c @ SV55 )
| ! [SY136: $i] :
( ~ ( a @ SV55 @ SY136 )
| ~ ( ws @ c @ SY136 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(200,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ( ~ ! [SY137: $i] :
( ~ ( c @ SV23 @ SY137 )
| ( SV56 @ SY137 ) ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( b @ SV23 @ SY138 )
| ! [SY139: $i] :
( ~ ( c @ SY138 @ SY139 )
| ( SV56 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(201,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ( ~ ~ ! [SY140: $i] :
( ~ ( c @ SV24 @ SY140 )
| ( SV57 @ SY140 ) ) )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV24 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( c @ SY141 @ SY142 )
| ( SV57 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(202,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( ~ ! [SY143: $i] :
( ~ ( fool @ SV25 @ SY143 )
| ( SV58 @ SY143 ) ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( c @ SV25 @ SY144 )
| ( SV58 @ SY144 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(203,plain,
! [SV59: $i,SV26: $i] :
( ( ( ~ ( priorG @ SV26 @ SV59 ) )
= $true )
| ( ( ~ ! [SY145: $i] :
( ~ ( a @ SV59 @ SY145 )
| ( ws @ a @ SY145 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[169]) ).
thf(204,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( ~ ! [SY146: $i] :
( ~ ( fool @ SV27 @ SY146 )
| ( SV60 @ SY146 ) ) )
= $true )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV27 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV60 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(205,plain,
! [SV61: $i,SV28: $i] :
( ( ( ~ ( fool @ SV28 @ SV61 ) )
= $true )
| ( ( ~ ( ws @ c @ SV61 )
| ! [SY149: $i] :
( ~ ( a @ SV61 @ SY149 )
| ( ws @ c @ SY149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(206,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ( ~ ~ ! [SY150: $i] :
( ~ ( c @ SV29 @ SY150 )
| ( SV62 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( b @ SV29 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( c @ SY151 @ SY152 )
| ( SV62 @ SY152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[172]) ).
thf(207,plain,
! [SV63: $i > $o,SV30: $i] :
( ( ( ~ ! [SY153: $i] :
( ~ ( fool @ SV30 @ SY153 )
| ( SV63 @ SY153 ) ) )
= $true )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV30 @ SY154 )
| ( SV63 @ SY154 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(208,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( ~ ! [SY155: $i] :
( ~ ( c @ SV31 @ SY155 )
| ( SV64 @ SY155 ) ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( a @ SV31 @ SY156 )
| ! [SY157: $i] :
( ~ ( c @ SY156 @ SY157 )
| ( SV64 @ SY157 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[174]) ).
thf(209,plain,
! [SV65: $i,SV32: $i] :
( ( ( ~ ( fool @ SV32 @ SV65 ) )
= $true )
| ( ( ~ ~ ( ws @ c @ SV65 )
| ! [SY158: $i] :
( ~ ( b @ SV65 @ SY158 )
| ~ ( ws @ c @ SY158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(210,plain,
! [SV66: $i,SV33: $i] :
( ( ( ~ ( fool @ SV33 @ SV66 ) )
= $true )
| ( ( ~ ~ ( ws @ b @ SV66 )
| ! [SY159: $i] :
( ~ ( a @ SV66 @ SY159 )
| ~ ( ws @ b @ SY159 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(211,plain,
! [SV67: $i,SV34: $i] :
( ( ( ~ ( fool @ SV34 @ SV67 ) )
= $true )
| ( ( ~ ~ ( ws @ b @ SV67 )
| ! [SY160: $i] :
( ~ ( c @ SV67 @ SY160 )
| ~ ( ws @ b @ SY160 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(212,plain,
! [SV35: $i,SV1: $i] :
( ( ( fool @ SV1 @ SV35 )
= $false )
| ( ( ~ ( ws @ b @ SV35 )
| ! [SY95: $i] :
( ~ ( a @ SV35 @ SY95 )
| ( ws @ b @ SY95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(213,plain,
! [SV36: $i > $o,SV2: $i] :
( ( ( ~ ! [SY96: $i] :
( ~ ( b @ SV2 @ SY96 )
| ( SV36 @ SY96 ) ) )
= $false )
| ( ( ! [SY97: $i] :
( ~ ( a @ SV2 @ SY97 )
| ~ ! [SY98: $i] :
( ~ ( b @ SY97 @ SY98 )
| ( SV36 @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(214,plain,
! [SV68: $i,SV37: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( priorG @ SV3 @ SV37 )
| ~ ( priorG @ SV37 @ SV68 ) ) )
= $true )
| ( ( priorG @ SV3 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(215,plain,
! [SV38: $i,SV4: $i] :
( ( ( fool @ SV4 @ SV38 )
= $false )
| ( ( ~ ( ws @ c @ SV38 )
| ! [SY100: $i] :
( ~ ( b @ SV38 @ SY100 )
| ( ws @ c @ SY100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(216,plain,
! [SV39: $i,SV5: $i] :
( ( ( fool @ SV5 @ SV39 )
= $false )
| ( ( ~ ( ws @ a @ SV39 )
| ! [SY101: $i] :
( ~ ( c @ SV39 @ SY101 )
| ( ws @ a @ SY101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(217,plain,
! [SV40: $i,SV6: $i] :
( ( ( fool @ SV6 @ SV40 )
= $false )
| ( ( ~ ( ws @ a @ SV40 )
| ! [SY102: $i] :
( ~ ( b @ SV40 @ SY102 )
| ( ws @ a @ SY102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(218,plain,
! [SV41: $i > $o,SV7: $i] :
( ( ( ~ ! [SY103: $i] :
( ~ ( a @ SV7 @ SY103 )
| ( SV41 @ SY103 ) ) )
= $false )
| ( ( ! [SY104: $i] :
( ~ ( b @ SV7 @ SY104 )
| ~ ! [SY105: $i] :
( ~ ( a @ SY104 @ SY105 )
| ( SV41 @ SY105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(219,plain,
( ( ~ ( priorG @ sK1_SX0 @ sK2_SY106 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(220,plain,
( ( ! [SY161: $i] :
( ~ ( priorG @ sK2_SY106 @ SY161 )
| ! [SX3: $i] :
( ~ ( priorG @ SY161 @ SX3 )
| ! [SX4: $i] :
( ~ ( c @ SX3 @ SX4 )
| ( ws @ c @ SX4 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(221,plain,
! [SV42: $i,SV8: $i] :
( ( ( fool @ SV8 @ SV42 )
= $false )
| ( ( ~ ( ws @ b @ SV42 )
| ! [SY110: $i] :
( ~ ( c @ SV42 @ SY110 )
| ( ws @ b @ SY110 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(222,plain,
! [SV43: $i,SV9: $i] :
( ( ( fool @ SV9 @ SV43 )
= $false )
| ( ( ~ ~ ( ws @ a @ SV43 )
| ! [SY111: $i] :
( ~ ( b @ SV43 @ SY111 )
| ~ ( ws @ a @ SY111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(223,plain,
! [SV44: $i > $o,SV10: $i] :
( ( ( ~ ! [SY112: $i] :
( ~ ( a @ SV10 @ SY112 )
| ( SV44 @ SY112 ) ) )
= $false )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV10 @ SY113 )
| ~ ! [SY114: $i] :
( ~ ( a @ SY113 @ SY114 )
| ( SV44 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(224,plain,
! [SV45: $i > $o,SV11: $i] :
( ( ( ! [SY115: $i] :
( ~ ( fool @ SV11 @ SY115 )
| ( SV45 @ SY115 ) ) )
= $false )
| ( ( SV45 @ SV11 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(225,plain,
! [SV46: $i,SV12: $i] :
( ( ( priorG @ SV12 @ SV46 )
= $false )
| ( ( ! [SY116: $i] :
( ~ ( priorG @ SV46 @ SY116 )
| ~ ! [SX3: $i] :
( ~ ( b @ SY116 @ SX3 )
| ( ws @ b @ SX3 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(226,plain,
! [SV47: $i,SV13: $i] :
( ( ( fool @ SV13 @ SV47 )
= $false )
| ( ( ~ ~ ( ws @ a @ SV47 )
| ! [SY118: $i] :
( ~ ( c @ SV47 @ SY118 )
| ~ ( ws @ a @ SY118 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(227,plain,
! [SV48: $i > $o,SV14: $i] :
( ( ( ! [SY119: $i] :
( ~ ( a @ SV14 @ SY119 )
| ( SV48 @ SY119 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( b @ SV14 @ SY120 )
| ! [SY121: $i] :
( ~ ( a @ SY120 @ SY121 )
| ( SV48 @ SY121 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(228,plain,
! [SV49: $i > $o,SV15: $i] :
( ( ( ! [SY122: $i] :
( ~ ( b @ SV15 @ SY122 )
| ( SV49 @ SY122 ) ) )
= $false )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV15 @ SY123 )
| ! [SY124: $i] :
( ~ ( b @ SY123 @ SY124 )
| ( SV49 @ SY124 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(229,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ( ! [SY125: $i] :
( ~ ( a @ SV17 @ SY125 )
| ( SV50 @ SY125 ) ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( c @ SV17 @ SY126 )
| ! [SY127: $i] :
( ~ ( a @ SY126 @ SY127 )
| ( SV50 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(230,plain,
! [SV51: $i > $o,SV18: $i] :
( ( ( ! [SY128: $i] :
( ~ ( b @ SV18 @ SY128 )
| ( SV51 @ SY128 ) ) )
= $false )
| ( ( ! [SY129: $i] :
( ~ ( a @ SV18 @ SY129 )
| ! [SY130: $i] :
( ~ ( b @ SY129 @ SY130 )
| ( SV51 @ SY130 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(231,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ( ! [SY131: $i] :
( ~ ( fool @ SV19 @ SY131 )
| ( SV52 @ SY131 ) ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( a @ SV19 @ SY132 )
| ( SV52 @ SY132 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(232,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ( ~ ! [SY133: $i] :
( ~ ( b @ SV20 @ SY133 )
| ( SV53 @ SY133 ) ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( c @ SV20 @ SY134 )
| ~ ! [SY135: $i] :
( ~ ( b @ SY134 @ SY135 )
| ( SV53 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(233,plain,
! [SV54: $i,SV21: $i] :
( ( ( fool @ SV21 @ SV54 )
= $false )
| ( ( ( ws @ a @ SV54 )
| ( ws @ b @ SV54 )
| ( ws @ c @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(234,plain,
! [SV55: $i,SV22: $i] :
( ( ( fool @ SV22 @ SV55 )
= $false )
| ( ( ~ ~ ( ws @ c @ SV55 )
| ! [SY136: $i] :
( ~ ( a @ SV55 @ SY136 )
| ~ ( ws @ c @ SY136 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(235,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ( ! [SY137: $i] :
( ~ ( c @ SV23 @ SY137 )
| ( SV56 @ SY137 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( b @ SV23 @ SY138 )
| ! [SY139: $i] :
( ~ ( c @ SY138 @ SY139 )
| ( SV56 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(236,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ( ~ ! [SY140: $i] :
( ~ ( c @ SV24 @ SY140 )
| ( SV57 @ SY140 ) ) )
= $false )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV24 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( c @ SY141 @ SY142 )
| ( SV57 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(237,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( ! [SY143: $i] :
( ~ ( fool @ SV25 @ SY143 )
| ( SV58 @ SY143 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( c @ SV25 @ SY144 )
| ( SV58 @ SY144 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(238,plain,
! [SV59: $i,SV26: $i] :
( ( ( priorG @ SV26 @ SV59 )
= $false )
| ( ( ~ ! [SY145: $i] :
( ~ ( a @ SV59 @ SY145 )
| ( ws @ a @ SY145 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(239,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( ! [SY146: $i] :
( ~ ( fool @ SV27 @ SY146 )
| ( SV60 @ SY146 ) ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV27 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV60 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(240,plain,
! [SV61: $i,SV28: $i] :
( ( ( fool @ SV28 @ SV61 )
= $false )
| ( ( ~ ( ws @ c @ SV61 )
| ! [SY149: $i] :
( ~ ( a @ SV61 @ SY149 )
| ( ws @ c @ SY149 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(241,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ( ~ ! [SY150: $i] :
( ~ ( c @ SV29 @ SY150 )
| ( SV62 @ SY150 ) ) )
= $false )
| ( ( ! [SY151: $i] :
( ~ ( b @ SV29 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( c @ SY151 @ SY152 )
| ( SV62 @ SY152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(242,plain,
! [SV63: $i > $o,SV30: $i] :
( ( ( ! [SY153: $i] :
( ~ ( fool @ SV30 @ SY153 )
| ( SV63 @ SY153 ) ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV30 @ SY154 )
| ( SV63 @ SY154 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(243,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( ! [SY155: $i] :
( ~ ( c @ SV31 @ SY155 )
| ( SV64 @ SY155 ) ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( a @ SV31 @ SY156 )
| ! [SY157: $i] :
( ~ ( c @ SY156 @ SY157 )
| ( SV64 @ SY157 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(244,plain,
! [SV65: $i,SV32: $i] :
( ( ( fool @ SV32 @ SV65 )
= $false )
| ( ( ~ ~ ( ws @ c @ SV65 )
| ! [SY158: $i] :
( ~ ( b @ SV65 @ SY158 )
| ~ ( ws @ c @ SY158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(245,plain,
! [SV66: $i,SV33: $i] :
( ( ( fool @ SV33 @ SV66 )
= $false )
| ( ( ~ ~ ( ws @ b @ SV66 )
| ! [SY159: $i] :
( ~ ( a @ SV66 @ SY159 )
| ~ ( ws @ b @ SY159 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(246,plain,
! [SV67: $i,SV34: $i] :
( ( ( fool @ SV34 @ SV67 )
= $false )
| ( ( ~ ~ ( ws @ b @ SV67 )
| ! [SY160: $i] :
( ~ ( c @ SV67 @ SY160 )
| ~ ( ws @ b @ SY160 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(247,plain,
! [SV1: $i,SV35: $i] :
( ( ( ~ ( ws @ b @ SV35 ) )
= $true )
| ( ( ! [SY95: $i] :
( ~ ( a @ SV35 @ SY95 )
| ( ws @ b @ SY95 ) ) )
= $true )
| ( ( fool @ SV1 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(248,plain,
! [SV36: $i > $o,SV2: $i] :
( ( ( ! [SY96: $i] :
( ~ ( b @ SV2 @ SY96 )
| ( SV36 @ SY96 ) ) )
= $true )
| ( ( ! [SY97: $i] :
( ~ ( a @ SV2 @ SY97 )
| ~ ! [SY98: $i] :
( ~ ( b @ SY97 @ SY98 )
| ( SV36 @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(249,plain,
! [SV68: $i,SV37: $i,SV3: $i] :
( ( ( ~ ( ~ ( priorG @ SV3 @ SV37 )
| ~ ( priorG @ SV37 @ SV68 ) ) )
= $false )
| ( ( priorG @ SV3 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(250,plain,
! [SV4: $i,SV38: $i] :
( ( ( ~ ( ws @ c @ SV38 ) )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( b @ SV38 @ SY100 )
| ( ws @ c @ SY100 ) ) )
= $true )
| ( ( fool @ SV4 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(251,plain,
! [SV5: $i,SV39: $i] :
( ( ( ~ ( ws @ a @ SV39 ) )
= $true )
| ( ( ! [SY101: $i] :
( ~ ( c @ SV39 @ SY101 )
| ( ws @ a @ SY101 ) ) )
= $true )
| ( ( fool @ SV5 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(252,plain,
! [SV6: $i,SV40: $i] :
( ( ( ~ ( ws @ a @ SV40 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV40 @ SY102 )
| ( ws @ a @ SY102 ) ) )
= $true )
| ( ( fool @ SV6 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(253,plain,
! [SV41: $i > $o,SV7: $i] :
( ( ( ! [SY103: $i] :
( ~ ( a @ SV7 @ SY103 )
| ( SV41 @ SY103 ) ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( b @ SV7 @ SY104 )
| ~ ! [SY105: $i] :
( ~ ( a @ SY104 @ SY105 )
| ( SV41 @ SY105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[218]) ).
thf(254,plain,
( ( priorG @ sK1_SX0 @ sK2_SY106 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(255,plain,
( ( ~ ( priorG @ sK2_SY106 @ sK3_SY161 )
| ! [SY164: $i] :
( ~ ( priorG @ sK3_SY161 @ SY164 )
| ! [SX4: $i] :
( ~ ( c @ SY164 @ SX4 )
| ( ws @ c @ SX4 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(256,plain,
! [SV8: $i,SV42: $i] :
( ( ( ~ ( ws @ b @ SV42 ) )
= $true )
| ( ( ! [SY110: $i] :
( ~ ( c @ SV42 @ SY110 )
| ( ws @ b @ SY110 ) ) )
= $true )
| ( ( fool @ SV8 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(257,plain,
! [SV9: $i,SV43: $i] :
( ( ( ~ ~ ( ws @ a @ SV43 ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( b @ SV43 @ SY111 )
| ~ ( ws @ a @ SY111 ) ) )
= $true )
| ( ( fool @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(258,plain,
! [SV44: $i > $o,SV10: $i] :
( ( ( ! [SY112: $i] :
( ~ ( a @ SV10 @ SY112 )
| ( SV44 @ SY112 ) ) )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV10 @ SY113 )
| ~ ! [SY114: $i] :
( ~ ( a @ SY113 @ SY114 )
| ( SV44 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[223]) ).
thf(259,plain,
! [SV45: $i > $o,SV11: $i] :
( ( ( ~ ( fool @ SV11 @ ( sK4_SY115 @ SV45 @ SV11 ) )
| ( SV45 @ ( sK4_SY115 @ SV45 @ SV11 ) ) )
= $false )
| ( ( SV45 @ SV11 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(260,plain,
! [SV12: $i,SV69: $i,SV46: $i] :
( ( ( ~ ( priorG @ SV46 @ SV69 )
| ~ ! [SY166: $i] :
( ~ ( b @ SV69 @ SY166 )
| ( ws @ b @ SY166 ) ) )
= $true )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(261,plain,
! [SV13: $i,SV47: $i] :
( ( ( ~ ~ ( ws @ a @ SV47 ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( c @ SV47 @ SY118 )
| ~ ( ws @ a @ SY118 ) ) )
= $true )
| ( ( fool @ SV13 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(262,plain,
! [SV48: $i > $o,SV14: $i] :
( ( ( ~ ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
| ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( b @ SV14 @ SY120 )
| ! [SY121: $i] :
( ~ ( a @ SY120 @ SY121 )
| ( SV48 @ SY121 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[227]) ).
thf(263,plain,
! [SV49: $i > $o,SV15: $i] :
( ( ( ~ ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
| ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) ) )
= $false )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV15 @ SY123 )
| ! [SY124: $i] :
( ~ ( b @ SY123 @ SY124 )
| ( SV49 @ SY124 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[228]) ).
thf(264,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ( ~ ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
| ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( c @ SV17 @ SY126 )
| ! [SY127: $i] :
( ~ ( a @ SY126 @ SY127 )
| ( SV50 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[229]) ).
thf(265,plain,
! [SV51: $i > $o,SV18: $i] :
( ( ( ~ ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
| ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) ) )
= $false )
| ( ( ! [SY129: $i] :
( ~ ( a @ SV18 @ SY129 )
| ! [SY130: $i] :
( ~ ( b @ SY129 @ SY130 )
| ( SV51 @ SY130 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[230]) ).
thf(266,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ( ~ ( fool @ SV19 @ ( sK9_SY131 @ SV52 @ SV19 ) )
| ( SV52 @ ( sK9_SY131 @ SV52 @ SV19 ) ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( a @ SV19 @ SY132 )
| ( SV52 @ SY132 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[231]) ).
thf(267,plain,
! [SV53: $i > $o,SV20: $i] :
( ( ( ! [SY133: $i] :
( ~ ( b @ SV20 @ SY133 )
| ( SV53 @ SY133 ) ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( c @ SV20 @ SY134 )
| ~ ! [SY135: $i] :
( ~ ( b @ SY134 @ SY135 )
| ( SV53 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(268,plain,
! [SV21: $i,SV54: $i] :
( ( ( ws @ a @ SV54 )
= $true )
| ( ( ( ws @ b @ SV54 )
| ( ws @ c @ SV54 ) )
= $true )
| ( ( fool @ SV21 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(269,plain,
! [SV22: $i,SV55: $i] :
( ( ( ~ ~ ( ws @ c @ SV55 ) )
= $true )
| ( ( ! [SY136: $i] :
( ~ ( a @ SV55 @ SY136 )
| ~ ( ws @ c @ SY136 ) ) )
= $true )
| ( ( fool @ SV22 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(270,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ( ~ ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
| ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( b @ SV23 @ SY138 )
| ! [SY139: $i] :
( ~ ( c @ SY138 @ SY139 )
| ( SV56 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[235]) ).
thf(271,plain,
! [SV57: $i > $o,SV24: $i] :
( ( ( ! [SY140: $i] :
( ~ ( c @ SV24 @ SY140 )
| ( SV57 @ SY140 ) ) )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV24 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( c @ SY141 @ SY142 )
| ( SV57 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(272,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( ~ ( fool @ SV25 @ ( sK11_SY143 @ SV58 @ SV25 ) )
| ( SV58 @ ( sK11_SY143 @ SV58 @ SV25 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( c @ SV25 @ SY144 )
| ( SV58 @ SY144 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[237]) ).
thf(273,plain,
! [SV26: $i,SV59: $i] :
( ( ( ! [SY145: $i] :
( ~ ( a @ SV59 @ SY145 )
| ( ws @ a @ SY145 ) ) )
= $false )
| ( ( priorG @ SV26 @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(274,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( ~ ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
| ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV27 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV60 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[239]) ).
thf(275,plain,
! [SV28: $i,SV61: $i] :
( ( ( ~ ( ws @ c @ SV61 ) )
= $true )
| ( ( ! [SY149: $i] :
( ~ ( a @ SV61 @ SY149 )
| ( ws @ c @ SY149 ) ) )
= $true )
| ( ( fool @ SV28 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(276,plain,
! [SV62: $i > $o,SV29: $i] :
( ( ( ! [SY150: $i] :
( ~ ( c @ SV29 @ SY150 )
| ( SV62 @ SY150 ) ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( b @ SV29 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( c @ SY151 @ SY152 )
| ( SV62 @ SY152 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(277,plain,
! [SV63: $i > $o,SV30: $i] :
( ( ( ~ ( fool @ SV30 @ ( sK13_SY153 @ SV63 @ SV30 ) )
| ( SV63 @ ( sK13_SY153 @ SV63 @ SV30 ) ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV30 @ SY154 )
| ( SV63 @ SY154 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[242]) ).
thf(278,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( ~ ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
| ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( a @ SV31 @ SY156 )
| ! [SY157: $i] :
( ~ ( c @ SY156 @ SY157 )
| ( SV64 @ SY157 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[243]) ).
thf(279,plain,
! [SV32: $i,SV65: $i] :
( ( ( ~ ~ ( ws @ c @ SV65 ) )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( b @ SV65 @ SY158 )
| ~ ( ws @ c @ SY158 ) ) )
= $true )
| ( ( fool @ SV32 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(280,plain,
! [SV33: $i,SV66: $i] :
( ( ( ~ ~ ( ws @ b @ SV66 ) )
= $true )
| ( ( ! [SY159: $i] :
( ~ ( a @ SV66 @ SY159 )
| ~ ( ws @ b @ SY159 ) ) )
= $true )
| ( ( fool @ SV33 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(281,plain,
! [SV34: $i,SV67: $i] :
( ( ( ~ ~ ( ws @ b @ SV67 ) )
= $true )
| ( ( ! [SY160: $i] :
( ~ ( c @ SV67 @ SY160 )
| ~ ( ws @ b @ SY160 ) ) )
= $true )
| ( ( fool @ SV34 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(282,plain,
! [SV1: $i,SV35: $i] :
( ( ( ws @ b @ SV35 )
= $false )
| ( ( ! [SY95: $i] :
( ~ ( a @ SV35 @ SY95 )
| ( ws @ b @ SY95 ) ) )
= $true )
| ( ( fool @ SV1 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(283,plain,
! [SV36: $i > $o,SV70: $i,SV2: $i] :
( ( ( ~ ( b @ SV2 @ SV70 )
| ( SV36 @ SV70 ) )
= $true )
| ( ( ! [SY97: $i] :
( ~ ( a @ SV2 @ SY97 )
| ~ ! [SY98: $i] :
( ~ ( b @ SY97 @ SY98 )
| ( SV36 @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(284,plain,
! [SV68: $i,SV37: $i,SV3: $i] :
( ( ( ~ ( priorG @ SV3 @ SV37 )
| ~ ( priorG @ SV37 @ SV68 ) )
= $true )
| ( ( priorG @ SV3 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(285,plain,
! [SV4: $i,SV38: $i] :
( ( ( ws @ c @ SV38 )
= $false )
| ( ( ! [SY100: $i] :
( ~ ( b @ SV38 @ SY100 )
| ( ws @ c @ SY100 ) ) )
= $true )
| ( ( fool @ SV4 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(286,plain,
! [SV5: $i,SV39: $i] :
( ( ( ws @ a @ SV39 )
= $false )
| ( ( ! [SY101: $i] :
( ~ ( c @ SV39 @ SY101 )
| ( ws @ a @ SY101 ) ) )
= $true )
| ( ( fool @ SV5 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(287,plain,
! [SV6: $i,SV40: $i] :
( ( ( ws @ a @ SV40 )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV40 @ SY102 )
| ( ws @ a @ SY102 ) ) )
= $true )
| ( ( fool @ SV6 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(288,plain,
! [SV41: $i > $o,SV71: $i,SV7: $i] :
( ( ( ~ ( a @ SV7 @ SV71 )
| ( SV41 @ SV71 ) )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( b @ SV7 @ SY104 )
| ~ ! [SY105: $i] :
( ~ ( a @ SY104 @ SY105 )
| ( SV41 @ SY105 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(289,plain,
( ( ~ ( priorG @ sK2_SY106 @ sK3_SY161 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(290,plain,
( ( ! [SY164: $i] :
( ~ ( priorG @ sK3_SY161 @ SY164 )
| ! [SX4: $i] :
( ~ ( c @ SY164 @ SX4 )
| ( ws @ c @ SX4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(291,plain,
! [SV8: $i,SV42: $i] :
( ( ( ws @ b @ SV42 )
= $false )
| ( ( ! [SY110: $i] :
( ~ ( c @ SV42 @ SY110 )
| ( ws @ b @ SY110 ) ) )
= $true )
| ( ( fool @ SV8 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(292,plain,
! [SV9: $i,SV43: $i] :
( ( ( ~ ( ws @ a @ SV43 ) )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( b @ SV43 @ SY111 )
| ~ ( ws @ a @ SY111 ) ) )
= $true )
| ( ( fool @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(293,plain,
! [SV44: $i > $o,SV72: $i,SV10: $i] :
( ( ( ~ ( a @ SV10 @ SV72 )
| ( SV44 @ SV72 ) )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV10 @ SY113 )
| ~ ! [SY114: $i] :
( ~ ( a @ SY113 @ SY114 )
| ( SV44 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(294,plain,
! [SV45: $i > $o,SV11: $i] :
( ( ( ~ ( fool @ SV11 @ ( sK4_SY115 @ SV45 @ SV11 ) ) )
= $false )
| ( ( SV45 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(295,plain,
! [SV11: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK4_SY115 @ SV45 @ SV11 ) )
= $false )
| ( ( SV45 @ SV11 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(296,plain,
! [SV12: $i,SV69: $i,SV46: $i] :
( ( ( ~ ( priorG @ SV46 @ SV69 ) )
= $true )
| ( ( ~ ! [SY166: $i] :
( ~ ( b @ SV69 @ SY166 )
| ( ws @ b @ SY166 ) ) )
= $true )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(297,plain,
! [SV13: $i,SV47: $i] :
( ( ( ~ ( ws @ a @ SV47 ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( c @ SV47 @ SY118 )
| ~ ( ws @ a @ SY118 ) ) )
= $true )
| ( ( fool @ SV13 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(298,plain,
! [SV48: $i > $o,SV14: $i] :
( ( ( ~ ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( b @ SV14 @ SY120 )
| ! [SY121: $i] :
( ~ ( a @ SY120 @ SY121 )
| ( SV48 @ SY121 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(299,plain,
! [SV14: $i,SV48: $i > $o] :
( ( ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $false )
| ( ( ! [SY120: $i] :
( ~ ( b @ SV14 @ SY120 )
| ! [SY121: $i] :
( ~ ( a @ SY120 @ SY121 )
| ( SV48 @ SY121 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(300,plain,
! [SV49: $i > $o,SV15: $i] :
( ( ( ~ ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) ) )
= $false )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV15 @ SY123 )
| ! [SY124: $i] :
( ~ ( b @ SY123 @ SY124 )
| ( SV49 @ SY124 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(301,plain,
! [SV15: $i,SV49: $i > $o] :
( ( ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $false )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV15 @ SY123 )
| ! [SY124: $i] :
( ~ ( b @ SY123 @ SY124 )
| ( SV49 @ SY124 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(302,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ( ~ ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( c @ SV17 @ SY126 )
| ! [SY127: $i] :
( ~ ( a @ SY126 @ SY127 )
| ( SV50 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(303,plain,
! [SV17: $i,SV50: $i > $o] :
( ( ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $false )
| ( ( ! [SY126: $i] :
( ~ ( c @ SV17 @ SY126 )
| ! [SY127: $i] :
( ~ ( a @ SY126 @ SY127 )
| ( SV50 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[264]) ).
thf(304,plain,
! [SV51: $i > $o,SV18: $i] :
( ( ( ~ ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) ) )
= $false )
| ( ( ! [SY129: $i] :
( ~ ( a @ SV18 @ SY129 )
| ! [SY130: $i] :
( ~ ( b @ SY129 @ SY130 )
| ( SV51 @ SY130 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(305,plain,
! [SV18: $i,SV51: $i > $o] :
( ( ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $false )
| ( ( ! [SY129: $i] :
( ~ ( a @ SV18 @ SY129 )
| ! [SY130: $i] :
( ~ ( b @ SY129 @ SY130 )
| ( SV51 @ SY130 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(306,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ( ~ ( fool @ SV19 @ ( sK9_SY131 @ SV52 @ SV19 ) ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( a @ SV19 @ SY132 )
| ( SV52 @ SY132 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(307,plain,
! [SV19: $i,SV52: $i > $o] :
( ( ( SV52 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $false )
| ( ( ! [SY132: $i] :
( ~ ( a @ SV19 @ SY132 )
| ( SV52 @ SY132 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[266]) ).
thf(308,plain,
! [SV53: $i > $o,SV73: $i,SV20: $i] :
( ( ( ~ ( b @ SV20 @ SV73 )
| ( SV53 @ SV73 ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( c @ SV20 @ SY134 )
| ~ ! [SY135: $i] :
( ~ ( b @ SY134 @ SY135 )
| ( SV53 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(309,plain,
! [SV21: $i,SV54: $i] :
( ( ( ws @ b @ SV54 )
= $true )
| ( ( ws @ c @ SV54 )
= $true )
| ( ( ws @ a @ SV54 )
= $true )
| ( ( fool @ SV21 @ SV54 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(310,plain,
! [SV22: $i,SV55: $i] :
( ( ( ~ ( ws @ c @ SV55 ) )
= $false )
| ( ( ! [SY136: $i] :
( ~ ( a @ SV55 @ SY136 )
| ~ ( ws @ c @ SY136 ) ) )
= $true )
| ( ( fool @ SV22 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(311,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ( ~ ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( b @ SV23 @ SY138 )
| ! [SY139: $i] :
( ~ ( c @ SY138 @ SY139 )
| ( SV56 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(312,plain,
! [SV23: $i,SV56: $i > $o] :
( ( ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( b @ SV23 @ SY138 )
| ! [SY139: $i] :
( ~ ( c @ SY138 @ SY139 )
| ( SV56 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[270]) ).
thf(313,plain,
! [SV57: $i > $o,SV74: $i,SV24: $i] :
( ( ( ~ ( c @ SV24 @ SV74 )
| ( SV57 @ SV74 ) )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV24 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( c @ SY141 @ SY142 )
| ( SV57 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(314,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( ~ ( fool @ SV25 @ ( sK11_SY143 @ SV58 @ SV25 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( c @ SV25 @ SY144 )
| ( SV58 @ SY144 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(315,plain,
! [SV25: $i,SV58: $i > $o] :
( ( ( SV58 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( c @ SV25 @ SY144 )
| ( SV58 @ SY144 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(316,plain,
! [SV26: $i,SV59: $i] :
( ( ( ~ ( a @ SV59 @ ( sK15_SY145 @ SV26 @ SV59 ) )
| ( ws @ a @ ( sK15_SY145 @ SV26 @ SV59 ) ) )
= $false )
| ( ( priorG @ SV26 @ SV59 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[273]) ).
thf(317,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( ~ ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV27 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV60 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(318,plain,
! [SV27: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV27 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV60 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(319,plain,
! [SV28: $i,SV61: $i] :
( ( ( ws @ c @ SV61 )
= $false )
| ( ( ! [SY149: $i] :
( ~ ( a @ SV61 @ SY149 )
| ( ws @ c @ SY149 ) ) )
= $true )
| ( ( fool @ SV28 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(320,plain,
! [SV62: $i > $o,SV75: $i,SV29: $i] :
( ( ( ~ ( c @ SV29 @ SV75 )
| ( SV62 @ SV75 ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( b @ SV29 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( c @ SY151 @ SY152 )
| ( SV62 @ SY152 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(321,plain,
! [SV63: $i > $o,SV30: $i] :
( ( ( ~ ( fool @ SV30 @ ( sK13_SY153 @ SV63 @ SV30 ) ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV30 @ SY154 )
| ( SV63 @ SY154 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(322,plain,
! [SV30: $i,SV63: $i > $o] :
( ( ( SV63 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV30 @ SY154 )
| ( SV63 @ SY154 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[277]) ).
thf(323,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( ~ ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( a @ SV31 @ SY156 )
| ! [SY157: $i] :
( ~ ( c @ SY156 @ SY157 )
| ( SV64 @ SY157 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(324,plain,
! [SV31: $i,SV64: $i > $o] :
( ( ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( a @ SV31 @ SY156 )
| ! [SY157: $i] :
( ~ ( c @ SY156 @ SY157 )
| ( SV64 @ SY157 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(325,plain,
! [SV32: $i,SV65: $i] :
( ( ( ~ ( ws @ c @ SV65 ) )
= $false )
| ( ( ! [SY158: $i] :
( ~ ( b @ SV65 @ SY158 )
| ~ ( ws @ c @ SY158 ) ) )
= $true )
| ( ( fool @ SV32 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(326,plain,
! [SV33: $i,SV66: $i] :
( ( ( ~ ( ws @ b @ SV66 ) )
= $false )
| ( ( ! [SY159: $i] :
( ~ ( a @ SV66 @ SY159 )
| ~ ( ws @ b @ SY159 ) ) )
= $true )
| ( ( fool @ SV33 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(327,plain,
! [SV34: $i,SV67: $i] :
( ( ( ~ ( ws @ b @ SV67 ) )
= $false )
| ( ( ! [SY160: $i] :
( ~ ( c @ SV67 @ SY160 )
| ~ ( ws @ b @ SY160 ) ) )
= $true )
| ( ( fool @ SV34 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(328,plain,
! [SV1: $i,SV76: $i,SV35: $i] :
( ( ( ~ ( a @ SV35 @ SV76 )
| ( ws @ b @ SV76 ) )
= $true )
| ( ( ws @ b @ SV35 )
= $false )
| ( ( fool @ SV1 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(329,plain,
! [SV36: $i > $o,SV70: $i,SV2: $i] :
( ( ( ~ ( b @ SV2 @ SV70 ) )
= $true )
| ( ( SV36 @ SV70 )
= $true )
| ( ( ! [SY97: $i] :
( ~ ( a @ SV2 @ SY97 )
| ~ ! [SY98: $i] :
( ~ ( b @ SY97 @ SY98 )
| ( SV36 @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(330,plain,
! [SV68: $i,SV37: $i,SV3: $i] :
( ( ( ~ ( priorG @ SV3 @ SV37 ) )
= $true )
| ( ( ~ ( priorG @ SV37 @ SV68 ) )
= $true )
| ( ( priorG @ SV3 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(331,plain,
! [SV4: $i,SV77: $i,SV38: $i] :
( ( ( ~ ( b @ SV38 @ SV77 )
| ( ws @ c @ SV77 ) )
= $true )
| ( ( ws @ c @ SV38 )
= $false )
| ( ( fool @ SV4 @ SV38 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(332,plain,
! [SV5: $i,SV78: $i,SV39: $i] :
( ( ( ~ ( c @ SV39 @ SV78 )
| ( ws @ a @ SV78 ) )
= $true )
| ( ( ws @ a @ SV39 )
= $false )
| ( ( fool @ SV5 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(333,plain,
! [SV6: $i,SV79: $i,SV40: $i] :
( ( ( ~ ( b @ SV40 @ SV79 )
| ( ws @ a @ SV79 ) )
= $true )
| ( ( ws @ a @ SV40 )
= $false )
| ( ( fool @ SV6 @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(334,plain,
! [SV41: $i > $o,SV71: $i,SV7: $i] :
( ( ( ~ ( a @ SV7 @ SV71 ) )
= $true )
| ( ( SV41 @ SV71 )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( b @ SV7 @ SY104 )
| ~ ! [SY105: $i] :
( ~ ( a @ SY104 @ SY105 )
| ( SV41 @ SY105 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(335,plain,
( ( priorG @ sK2_SY106 @ sK3_SY161 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(336,plain,
( ( ~ ( priorG @ sK3_SY161 @ sK16_SY164 )
| ! [SY167: $i] :
( ~ ( c @ sK16_SY164 @ SY167 )
| ( ws @ c @ SY167 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[290]) ).
thf(337,plain,
! [SV8: $i,SV80: $i,SV42: $i] :
( ( ( ~ ( c @ SV42 @ SV80 )
| ( ws @ b @ SV80 ) )
= $true )
| ( ( ws @ b @ SV42 )
= $false )
| ( ( fool @ SV8 @ SV42 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(338,plain,
! [SV9: $i,SV43: $i] :
( ( ( ws @ a @ SV43 )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( b @ SV43 @ SY111 )
| ~ ( ws @ a @ SY111 ) ) )
= $true )
| ( ( fool @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(339,plain,
! [SV44: $i > $o,SV72: $i,SV10: $i] :
( ( ( ~ ( a @ SV10 @ SV72 ) )
= $true )
| ( ( SV44 @ SV72 )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV10 @ SY113 )
| ~ ! [SY114: $i] :
( ~ ( a @ SY113 @ SY114 )
| ( SV44 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(340,plain,
! [SV45: $i > $o,SV11: $i] :
( ( ( fool @ SV11 @ ( sK4_SY115 @ SV45 @ SV11 ) )
= $true )
| ( ( SV45 @ SV11 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(341,plain,
! [SV12: $i,SV69: $i,SV46: $i] :
( ( ( priorG @ SV46 @ SV69 )
= $false )
| ( ( ~ ! [SY166: $i] :
( ~ ( b @ SV69 @ SY166 )
| ( ws @ b @ SY166 ) ) )
= $true )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(342,plain,
! [SV13: $i,SV47: $i] :
( ( ( ws @ a @ SV47 )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( c @ SV47 @ SY118 )
| ~ ( ws @ a @ SY118 ) ) )
= $true )
| ( ( fool @ SV13 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(343,plain,
! [SV48: $i > $o,SV14: $i] :
( ( ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $true )
| ( ( ! [SY120: $i] :
( ~ ( b @ SV14 @ SY120 )
| ! [SY121: $i] :
( ~ ( a @ SY120 @ SY121 )
| ( SV48 @ SY121 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(344,plain,
! [SV48: $i > $o,SV81: $i,SV14: $i] :
( ( ( ~ ( b @ SV14 @ SV81 )
| ! [SY168: $i] :
( ~ ( a @ SV81 @ SY168 )
| ( SV48 @ SY168 ) ) )
= $true )
| ( ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(345,plain,
! [SV49: $i > $o,SV15: $i] :
( ( ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV15 @ SY123 )
| ! [SY124: $i] :
( ~ ( b @ SY123 @ SY124 )
| ( SV49 @ SY124 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(346,plain,
! [SV49: $i > $o,SV82: $i,SV15: $i] :
( ( ( ~ ( c @ SV15 @ SV82 )
| ! [SY169: $i] :
( ~ ( b @ SV82 @ SY169 )
| ( SV49 @ SY169 ) ) )
= $true )
| ( ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(347,plain,
! [SV50: $i > $o,SV17: $i] :
( ( ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $true )
| ( ( ! [SY126: $i] :
( ~ ( c @ SV17 @ SY126 )
| ! [SY127: $i] :
( ~ ( a @ SY126 @ SY127 )
| ( SV50 @ SY127 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(348,plain,
! [SV50: $i > $o,SV83: $i,SV17: $i] :
( ( ( ~ ( c @ SV17 @ SV83 )
| ! [SY170: $i] :
( ~ ( a @ SV83 @ SY170 )
| ( SV50 @ SY170 ) ) )
= $true )
| ( ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(349,plain,
! [SV51: $i > $o,SV18: $i] :
( ( ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $true )
| ( ( ! [SY129: $i] :
( ~ ( a @ SV18 @ SY129 )
| ! [SY130: $i] :
( ~ ( b @ SY129 @ SY130 )
| ( SV51 @ SY130 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[304]) ).
thf(350,plain,
! [SV51: $i > $o,SV84: $i,SV18: $i] :
( ( ( ~ ( a @ SV18 @ SV84 )
| ! [SY171: $i] :
( ~ ( b @ SV84 @ SY171 )
| ( SV51 @ SY171 ) ) )
= $true )
| ( ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(351,plain,
! [SV52: $i > $o,SV19: $i] :
( ( ( fool @ SV19 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $true )
| ( ( ! [SY132: $i] :
( ~ ( a @ SV19 @ SY132 )
| ( SV52 @ SY132 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(352,plain,
! [SV52: $i > $o,SV85: $i,SV19: $i] :
( ( ( ~ ( a @ SV19 @ SV85 )
| ( SV52 @ SV85 ) )
= $true )
| ( ( SV52 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(353,plain,
! [SV53: $i > $o,SV73: $i,SV20: $i] :
( ( ( ~ ( b @ SV20 @ SV73 ) )
= $true )
| ( ( SV53 @ SV73 )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( c @ SV20 @ SY134 )
| ~ ! [SY135: $i] :
( ~ ( b @ SY134 @ SY135 )
| ( SV53 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(354,plain,
! [SV22: $i,SV55: $i] :
( ( ( ws @ c @ SV55 )
= $true )
| ( ( ! [SY136: $i] :
( ~ ( a @ SV55 @ SY136 )
| ~ ( ws @ c @ SY136 ) ) )
= $true )
| ( ( fool @ SV22 @ SV55 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[310]) ).
thf(355,plain,
! [SV56: $i > $o,SV23: $i] :
( ( ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( b @ SV23 @ SY138 )
| ! [SY139: $i] :
( ~ ( c @ SY138 @ SY139 )
| ( SV56 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[311]) ).
thf(356,plain,
! [SV56: $i > $o,SV86: $i,SV23: $i] :
( ( ( ~ ( b @ SV23 @ SV86 )
| ! [SY172: $i] :
( ~ ( c @ SV86 @ SY172 )
| ( SV56 @ SY172 ) ) )
= $true )
| ( ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(357,plain,
! [SV57: $i > $o,SV74: $i,SV24: $i] :
( ( ( ~ ( c @ SV24 @ SV74 ) )
= $true )
| ( ( SV57 @ SV74 )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV24 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( c @ SY141 @ SY142 )
| ( SV57 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(358,plain,
! [SV58: $i > $o,SV25: $i] :
( ( ( fool @ SV25 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( c @ SV25 @ SY144 )
| ( SV58 @ SY144 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(359,plain,
! [SV58: $i > $o,SV87: $i,SV25: $i] :
( ( ( ~ ( c @ SV25 @ SV87 )
| ( SV58 @ SV87 ) )
= $true )
| ( ( SV58 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(360,plain,
! [SV26: $i,SV59: $i] :
( ( ( ~ ( a @ SV59 @ ( sK15_SY145 @ SV26 @ SV59 ) ) )
= $false )
| ( ( priorG @ SV26 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(361,plain,
! [SV59: $i,SV26: $i] :
( ( ( ws @ a @ ( sK15_SY145 @ SV26 @ SV59 ) )
= $false )
| ( ( priorG @ SV26 @ SV59 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[316]) ).
thf(362,plain,
! [SV60: $i > $o,SV27: $i] :
( ( ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $true )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV27 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV60 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(363,plain,
! [SV60: $i > $o,SV88: $i,SV27: $i] :
( ( ( ~ ( fool @ SV27 @ SV88 )
| ! [SY173: $i] :
( ~ ( fool @ SV88 @ SY173 )
| ( SV60 @ SY173 ) ) )
= $true )
| ( ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(364,plain,
! [SV28: $i,SV89: $i,SV61: $i] :
( ( ( ~ ( a @ SV61 @ SV89 )
| ( ws @ c @ SV89 ) )
= $true )
| ( ( ws @ c @ SV61 )
= $false )
| ( ( fool @ SV28 @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(365,plain,
! [SV62: $i > $o,SV75: $i,SV29: $i] :
( ( ( ~ ( c @ SV29 @ SV75 ) )
= $true )
| ( ( SV62 @ SV75 )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( b @ SV29 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( c @ SY151 @ SY152 )
| ( SV62 @ SY152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(366,plain,
! [SV63: $i > $o,SV30: $i] :
( ( ( fool @ SV30 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $true )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV30 @ SY154 )
| ( SV63 @ SY154 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(367,plain,
! [SV63: $i > $o,SV90: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV90 )
| ( SV63 @ SV90 ) )
= $true )
| ( ( SV63 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(368,plain,
! [SV64: $i > $o,SV31: $i] :
( ( ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( a @ SV31 @ SY156 )
| ! [SY157: $i] :
( ~ ( c @ SY156 @ SY157 )
| ( SV64 @ SY157 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(369,plain,
! [SV64: $i > $o,SV91: $i,SV31: $i] :
( ( ( ~ ( a @ SV31 @ SV91 )
| ! [SY174: $i] :
( ~ ( c @ SV91 @ SY174 )
| ( SV64 @ SY174 ) ) )
= $true )
| ( ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(370,plain,
! [SV32: $i,SV65: $i] :
( ( ( ws @ c @ SV65 )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( b @ SV65 @ SY158 )
| ~ ( ws @ c @ SY158 ) ) )
= $true )
| ( ( fool @ SV32 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(371,plain,
! [SV33: $i,SV66: $i] :
( ( ( ws @ b @ SV66 )
= $true )
| ( ( ! [SY159: $i] :
( ~ ( a @ SV66 @ SY159 )
| ~ ( ws @ b @ SY159 ) ) )
= $true )
| ( ( fool @ SV33 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(372,plain,
! [SV34: $i,SV67: $i] :
( ( ( ws @ b @ SV67 )
= $true )
| ( ( ! [SY160: $i] :
( ~ ( c @ SV67 @ SY160 )
| ~ ( ws @ b @ SY160 ) ) )
= $true )
| ( ( fool @ SV34 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(373,plain,
! [SV1: $i,SV76: $i,SV35: $i] :
( ( ( ~ ( a @ SV35 @ SV76 ) )
= $true )
| ( ( ws @ b @ SV76 )
= $true )
| ( ( ws @ b @ SV35 )
= $false )
| ( ( fool @ SV1 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(374,plain,
! [SV36: $i > $o,SV70: $i,SV2: $i] :
( ( ( b @ SV2 @ SV70 )
= $false )
| ( ( SV36 @ SV70 )
= $true )
| ( ( ! [SY97: $i] :
( ~ ( a @ SV2 @ SY97 )
| ~ ! [SY98: $i] :
( ~ ( b @ SY97 @ SY98 )
| ( SV36 @ SY98 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(375,plain,
! [SV68: $i,SV37: $i,SV3: $i] :
( ( ( priorG @ SV3 @ SV37 )
= $false )
| ( ( ~ ( priorG @ SV37 @ SV68 ) )
= $true )
| ( ( priorG @ SV3 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(376,plain,
! [SV4: $i,SV77: $i,SV38: $i] :
( ( ( ~ ( b @ SV38 @ SV77 ) )
= $true )
| ( ( ws @ c @ SV77 )
= $true )
| ( ( ws @ c @ SV38 )
= $false )
| ( ( fool @ SV4 @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(377,plain,
! [SV5: $i,SV78: $i,SV39: $i] :
( ( ( ~ ( c @ SV39 @ SV78 ) )
= $true )
| ( ( ws @ a @ SV78 )
= $true )
| ( ( ws @ a @ SV39 )
= $false )
| ( ( fool @ SV5 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(378,plain,
! [SV6: $i,SV79: $i,SV40: $i] :
( ( ( ~ ( b @ SV40 @ SV79 ) )
= $true )
| ( ( ws @ a @ SV79 )
= $true )
| ( ( ws @ a @ SV40 )
= $false )
| ( ( fool @ SV6 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(379,plain,
! [SV41: $i > $o,SV71: $i,SV7: $i] :
( ( ( a @ SV7 @ SV71 )
= $false )
| ( ( SV41 @ SV71 )
= $true )
| ( ( ! [SY104: $i] :
( ~ ( b @ SV7 @ SY104 )
| ~ ! [SY105: $i] :
( ~ ( a @ SY104 @ SY105 )
| ( SV41 @ SY105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(380,plain,
( ( ~ ( priorG @ sK3_SY161 @ sK16_SY164 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(381,plain,
( ( ! [SY167: $i] :
( ~ ( c @ sK16_SY164 @ SY167 )
| ( ws @ c @ SY167 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(382,plain,
! [SV8: $i,SV80: $i,SV42: $i] :
( ( ( ~ ( c @ SV42 @ SV80 ) )
= $true )
| ( ( ws @ b @ SV80 )
= $true )
| ( ( ws @ b @ SV42 )
= $false )
| ( ( fool @ SV8 @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[337]) ).
thf(383,plain,
! [SV9: $i,SV92: $i,SV43: $i] :
( ( ( ~ ( b @ SV43 @ SV92 )
| ~ ( ws @ a @ SV92 ) )
= $true )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(384,plain,
! [SV44: $i > $o,SV72: $i,SV10: $i] :
( ( ( a @ SV10 @ SV72 )
= $false )
| ( ( SV44 @ SV72 )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV10 @ SY113 )
| ~ ! [SY114: $i] :
( ~ ( a @ SY113 @ SY114 )
| ( SV44 @ SY114 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(385,plain,
! [SV12: $i,SV46: $i,SV69: $i] :
( ( ( ! [SY166: $i] :
( ~ ( b @ SV69 @ SY166 )
| ( ws @ b @ SY166 ) ) )
= $false )
| ( ( priorG @ SV46 @ SV69 )
= $false )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(386,plain,
! [SV13: $i,SV93: $i,SV47: $i] :
( ( ( ~ ( c @ SV47 @ SV93 )
| ~ ( ws @ a @ SV93 ) )
= $true )
| ( ( ws @ a @ SV47 )
= $true )
| ( ( fool @ SV13 @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(387,plain,
! [SV48: $i > $o,SV94: $i,SV14: $i] :
( ( ( ~ ( b @ SV14 @ SV94 )
| ! [SY175: $i] :
( ~ ( a @ SV94 @ SY175 )
| ( SV48 @ SY175 ) ) )
= $true )
| ( ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(388,plain,
! [SV48: $i > $o,SV81: $i,SV14: $i] :
( ( ( ~ ( b @ SV14 @ SV81 ) )
= $true )
| ( ( ! [SY168: $i] :
( ~ ( a @ SV81 @ SY168 )
| ( SV48 @ SY168 ) ) )
= $true )
| ( ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(389,plain,
! [SV49: $i > $o,SV95: $i,SV15: $i] :
( ( ( ~ ( c @ SV15 @ SV95 )
| ! [SY176: $i] :
( ~ ( b @ SV95 @ SY176 )
| ( SV49 @ SY176 ) ) )
= $true )
| ( ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(390,plain,
! [SV49: $i > $o,SV82: $i,SV15: $i] :
( ( ( ~ ( c @ SV15 @ SV82 ) )
= $true )
| ( ( ! [SY169: $i] :
( ~ ( b @ SV82 @ SY169 )
| ( SV49 @ SY169 ) ) )
= $true )
| ( ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(391,plain,
! [SV50: $i > $o,SV96: $i,SV17: $i] :
( ( ( ~ ( c @ SV17 @ SV96 )
| ! [SY177: $i] :
( ~ ( a @ SV96 @ SY177 )
| ( SV50 @ SY177 ) ) )
= $true )
| ( ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(392,plain,
! [SV50: $i > $o,SV83: $i,SV17: $i] :
( ( ( ~ ( c @ SV17 @ SV83 ) )
= $true )
| ( ( ! [SY170: $i] :
( ~ ( a @ SV83 @ SY170 )
| ( SV50 @ SY170 ) ) )
= $true )
| ( ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(393,plain,
! [SV51: $i > $o,SV97: $i,SV18: $i] :
( ( ( ~ ( a @ SV18 @ SV97 )
| ! [SY178: $i] :
( ~ ( b @ SV97 @ SY178 )
| ( SV51 @ SY178 ) ) )
= $true )
| ( ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(394,plain,
! [SV51: $i > $o,SV84: $i,SV18: $i] :
( ( ( ~ ( a @ SV18 @ SV84 ) )
= $true )
| ( ( ! [SY171: $i] :
( ~ ( b @ SV84 @ SY171 )
| ( SV51 @ SY171 ) ) )
= $true )
| ( ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(395,plain,
! [SV52: $i > $o,SV98: $i,SV19: $i] :
( ( ( ~ ( a @ SV19 @ SV98 )
| ( SV52 @ SV98 ) )
= $true )
| ( ( fool @ SV19 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(396,plain,
! [SV52: $i > $o,SV85: $i,SV19: $i] :
( ( ( ~ ( a @ SV19 @ SV85 ) )
= $true )
| ( ( SV52 @ SV85 )
= $true )
| ( ( SV52 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(397,plain,
! [SV53: $i > $o,SV73: $i,SV20: $i] :
( ( ( b @ SV20 @ SV73 )
= $false )
| ( ( SV53 @ SV73 )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( c @ SV20 @ SY134 )
| ~ ! [SY135: $i] :
( ~ ( b @ SY134 @ SY135 )
| ( SV53 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(398,plain,
! [SV22: $i,SV99: $i,SV55: $i] :
( ( ( ~ ( a @ SV55 @ SV99 )
| ~ ( ws @ c @ SV99 ) )
= $true )
| ( ( ws @ c @ SV55 )
= $true )
| ( ( fool @ SV22 @ SV55 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(399,plain,
! [SV56: $i > $o,SV100: $i,SV23: $i] :
( ( ( ~ ( b @ SV23 @ SV100 )
| ! [SY179: $i] :
( ~ ( c @ SV100 @ SY179 )
| ( SV56 @ SY179 ) ) )
= $true )
| ( ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(400,plain,
! [SV56: $i > $o,SV86: $i,SV23: $i] :
( ( ( ~ ( b @ SV23 @ SV86 ) )
= $true )
| ( ( ! [SY172: $i] :
( ~ ( c @ SV86 @ SY172 )
| ( SV56 @ SY172 ) ) )
= $true )
| ( ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(401,plain,
! [SV57: $i > $o,SV74: $i,SV24: $i] :
( ( ( c @ SV24 @ SV74 )
= $false )
| ( ( SV57 @ SV74 )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV24 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( c @ SY141 @ SY142 )
| ( SV57 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(402,plain,
! [SV58: $i > $o,SV101: $i,SV25: $i] :
( ( ( ~ ( c @ SV25 @ SV101 )
| ( SV58 @ SV101 ) )
= $true )
| ( ( fool @ SV25 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(403,plain,
! [SV58: $i > $o,SV87: $i,SV25: $i] :
( ( ( ~ ( c @ SV25 @ SV87 ) )
= $true )
| ( ( SV58 @ SV87 )
= $true )
| ( ( SV58 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(404,plain,
! [SV26: $i,SV59: $i] :
( ( ( a @ SV59 @ ( sK15_SY145 @ SV26 @ SV59 ) )
= $true )
| ( ( priorG @ SV26 @ SV59 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(405,plain,
! [SV60: $i > $o,SV102: $i,SV27: $i] :
( ( ( ~ ( fool @ SV27 @ SV102 )
| ! [SY180: $i] :
( ~ ( fool @ SV102 @ SY180 )
| ( SV60 @ SY180 ) ) )
= $true )
| ( ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(406,plain,
! [SV60: $i > $o,SV88: $i,SV27: $i] :
( ( ( ~ ( fool @ SV27 @ SV88 ) )
= $true )
| ( ( ! [SY173: $i] :
( ~ ( fool @ SV88 @ SY173 )
| ( SV60 @ SY173 ) ) )
= $true )
| ( ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(407,plain,
! [SV28: $i,SV89: $i,SV61: $i] :
( ( ( ~ ( a @ SV61 @ SV89 ) )
= $true )
| ( ( ws @ c @ SV89 )
= $true )
| ( ( ws @ c @ SV61 )
= $false )
| ( ( fool @ SV28 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(408,plain,
! [SV62: $i > $o,SV75: $i,SV29: $i] :
( ( ( c @ SV29 @ SV75 )
= $false )
| ( ( SV62 @ SV75 )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( b @ SV29 @ SY151 )
| ~ ! [SY152: $i] :
( ~ ( c @ SY151 @ SY152 )
| ( SV62 @ SY152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(409,plain,
! [SV63: $i > $o,SV103: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV103 )
| ( SV63 @ SV103 ) )
= $true )
| ( ( fool @ SV30 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(410,plain,
! [SV63: $i > $o,SV90: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV90 ) )
= $true )
| ( ( SV63 @ SV90 )
= $true )
| ( ( SV63 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(411,plain,
! [SV64: $i > $o,SV104: $i,SV31: $i] :
( ( ( ~ ( a @ SV31 @ SV104 )
| ! [SY181: $i] :
( ~ ( c @ SV104 @ SY181 )
| ( SV64 @ SY181 ) ) )
= $true )
| ( ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(412,plain,
! [SV64: $i > $o,SV91: $i,SV31: $i] :
( ( ( ~ ( a @ SV31 @ SV91 ) )
= $true )
| ( ( ! [SY174: $i] :
( ~ ( c @ SV91 @ SY174 )
| ( SV64 @ SY174 ) ) )
= $true )
| ( ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(413,plain,
! [SV32: $i,SV105: $i,SV65: $i] :
( ( ( ~ ( b @ SV65 @ SV105 )
| ~ ( ws @ c @ SV105 ) )
= $true )
| ( ( ws @ c @ SV65 )
= $true )
| ( ( fool @ SV32 @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(414,plain,
! [SV33: $i,SV106: $i,SV66: $i] :
( ( ( ~ ( a @ SV66 @ SV106 )
| ~ ( ws @ b @ SV106 ) )
= $true )
| ( ( ws @ b @ SV66 )
= $true )
| ( ( fool @ SV33 @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(415,plain,
! [SV34: $i,SV107: $i,SV67: $i] :
( ( ( ~ ( c @ SV67 @ SV107 )
| ~ ( ws @ b @ SV107 ) )
= $true )
| ( ( ws @ b @ SV67 )
= $true )
| ( ( fool @ SV34 @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(416,plain,
! [SV1: $i,SV76: $i,SV35: $i] :
( ( ( a @ SV35 @ SV76 )
= $false )
| ( ( ws @ b @ SV76 )
= $true )
| ( ( ws @ b @ SV35 )
= $false )
| ( ( fool @ SV1 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(417,plain,
! [SV70: $i,SV36: $i > $o,SV108: $i,SV2: $i] :
( ( ( ~ ( a @ SV2 @ SV108 )
| ~ ! [SY182: $i] :
( ~ ( b @ SV108 @ SY182 )
| ( SV36 @ SY182 ) ) )
= $true )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(418,plain,
! [SV3: $i,SV68: $i,SV37: $i] :
( ( ( priorG @ SV37 @ SV68 )
= $false )
| ( ( priorG @ SV3 @ SV37 )
= $false )
| ( ( priorG @ SV3 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(419,plain,
! [SV4: $i,SV77: $i,SV38: $i] :
( ( ( b @ SV38 @ SV77 )
= $false )
| ( ( ws @ c @ SV77 )
= $true )
| ( ( ws @ c @ SV38 )
= $false )
| ( ( fool @ SV4 @ SV38 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(420,plain,
! [SV5: $i,SV78: $i,SV39: $i] :
( ( ( c @ SV39 @ SV78 )
= $false )
| ( ( ws @ a @ SV78 )
= $true )
| ( ( ws @ a @ SV39 )
= $false )
| ( ( fool @ SV5 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(421,plain,
! [SV6: $i,SV79: $i,SV40: $i] :
( ( ( b @ SV40 @ SV79 )
= $false )
| ( ( ws @ a @ SV79 )
= $true )
| ( ( ws @ a @ SV40 )
= $false )
| ( ( fool @ SV6 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(422,plain,
! [SV71: $i,SV41: $i > $o,SV109: $i,SV7: $i] :
( ( ( ~ ( b @ SV7 @ SV109 )
| ~ ! [SY183: $i] :
( ~ ( a @ SV109 @ SY183 )
| ( SV41 @ SY183 ) ) )
= $true )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(423,plain,
( ( priorG @ sK3_SY161 @ sK16_SY164 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[380]) ).
thf(424,plain,
( ( ~ ( c @ sK16_SY164 @ sK17_SY167 )
| ( ws @ c @ sK17_SY167 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[381]) ).
thf(425,plain,
! [SV8: $i,SV80: $i,SV42: $i] :
( ( ( c @ SV42 @ SV80 )
= $false )
| ( ( ws @ b @ SV80 )
= $true )
| ( ( ws @ b @ SV42 )
= $false )
| ( ( fool @ SV8 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(426,plain,
! [SV9: $i,SV92: $i,SV43: $i] :
( ( ( ~ ( b @ SV43 @ SV92 ) )
= $true )
| ( ( ~ ( ws @ a @ SV92 ) )
= $true )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(427,plain,
! [SV72: $i,SV44: $i > $o,SV110: $i,SV10: $i] :
( ( ( ~ ( c @ SV10 @ SV110 )
| ~ ! [SY184: $i] :
( ~ ( a @ SV110 @ SY184 )
| ( SV44 @ SY184 ) ) )
= $true )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(428,plain,
! [SV46: $i,SV12: $i,SV69: $i] :
( ( ( ~ ( b @ SV69 @ ( sK18_SY166 @ SV12 @ SV46 @ SV69 ) )
| ( ws @ b @ ( sK18_SY166 @ SV12 @ SV46 @ SV69 ) ) )
= $false )
| ( ( priorG @ SV46 @ SV69 )
= $false )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[385]) ).
thf(429,plain,
! [SV13: $i,SV93: $i,SV47: $i] :
( ( ( ~ ( c @ SV47 @ SV93 ) )
= $true )
| ( ( ~ ( ws @ a @ SV93 ) )
= $true )
| ( ( ws @ a @ SV47 )
= $true )
| ( ( fool @ SV13 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(430,plain,
! [SV48: $i > $o,SV94: $i,SV14: $i] :
( ( ( ~ ( b @ SV14 @ SV94 ) )
= $true )
| ( ( ! [SY175: $i] :
( ~ ( a @ SV94 @ SY175 )
| ( SV48 @ SY175 ) ) )
= $true )
| ( ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(431,plain,
! [SV48: $i > $o,SV81: $i,SV14: $i] :
( ( ( b @ SV14 @ SV81 )
= $false )
| ( ( ! [SY168: $i] :
( ~ ( a @ SV81 @ SY168 )
| ( SV48 @ SY168 ) ) )
= $true )
| ( ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(432,plain,
! [SV49: $i > $o,SV95: $i,SV15: $i] :
( ( ( ~ ( c @ SV15 @ SV95 ) )
= $true )
| ( ( ! [SY176: $i] :
( ~ ( b @ SV95 @ SY176 )
| ( SV49 @ SY176 ) ) )
= $true )
| ( ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(433,plain,
! [SV49: $i > $o,SV82: $i,SV15: $i] :
( ( ( c @ SV15 @ SV82 )
= $false )
| ( ( ! [SY169: $i] :
( ~ ( b @ SV82 @ SY169 )
| ( SV49 @ SY169 ) ) )
= $true )
| ( ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(434,plain,
! [SV50: $i > $o,SV96: $i,SV17: $i] :
( ( ( ~ ( c @ SV17 @ SV96 ) )
= $true )
| ( ( ! [SY177: $i] :
( ~ ( a @ SV96 @ SY177 )
| ( SV50 @ SY177 ) ) )
= $true )
| ( ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(435,plain,
! [SV50: $i > $o,SV83: $i,SV17: $i] :
( ( ( c @ SV17 @ SV83 )
= $false )
| ( ( ! [SY170: $i] :
( ~ ( a @ SV83 @ SY170 )
| ( SV50 @ SY170 ) ) )
= $true )
| ( ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(436,plain,
! [SV51: $i > $o,SV97: $i,SV18: $i] :
( ( ( ~ ( a @ SV18 @ SV97 ) )
= $true )
| ( ( ! [SY178: $i] :
( ~ ( b @ SV97 @ SY178 )
| ( SV51 @ SY178 ) ) )
= $true )
| ( ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(437,plain,
! [SV51: $i > $o,SV84: $i,SV18: $i] :
( ( ( a @ SV18 @ SV84 )
= $false )
| ( ( ! [SY171: $i] :
( ~ ( b @ SV84 @ SY171 )
| ( SV51 @ SY171 ) ) )
= $true )
| ( ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(438,plain,
! [SV52: $i > $o,SV98: $i,SV19: $i] :
( ( ( ~ ( a @ SV19 @ SV98 ) )
= $true )
| ( ( SV52 @ SV98 )
= $true )
| ( ( fool @ SV19 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(439,plain,
! [SV52: $i > $o,SV85: $i,SV19: $i] :
( ( ( a @ SV19 @ SV85 )
= $false )
| ( ( SV52 @ SV85 )
= $true )
| ( ( SV52 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(440,plain,
! [SV73: $i,SV53: $i > $o,SV111: $i,SV20: $i] :
( ( ( ~ ( c @ SV20 @ SV111 )
| ~ ! [SY185: $i] :
( ~ ( b @ SV111 @ SY185 )
| ( SV53 @ SY185 ) ) )
= $true )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[397]) ).
thf(441,plain,
! [SV22: $i,SV99: $i,SV55: $i] :
( ( ( ~ ( a @ SV55 @ SV99 ) )
= $true )
| ( ( ~ ( ws @ c @ SV99 ) )
= $true )
| ( ( ws @ c @ SV55 )
= $true )
| ( ( fool @ SV22 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(442,plain,
! [SV56: $i > $o,SV100: $i,SV23: $i] :
( ( ( ~ ( b @ SV23 @ SV100 ) )
= $true )
| ( ( ! [SY179: $i] :
( ~ ( c @ SV100 @ SY179 )
| ( SV56 @ SY179 ) ) )
= $true )
| ( ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV56: $i > $o,SV86: $i,SV23: $i] :
( ( ( b @ SV23 @ SV86 )
= $false )
| ( ( ! [SY172: $i] :
( ~ ( c @ SV86 @ SY172 )
| ( SV56 @ SY172 ) ) )
= $true )
| ( ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(444,plain,
! [SV74: $i,SV57: $i > $o,SV112: $i,SV24: $i] :
( ( ( ~ ( a @ SV24 @ SV112 )
| ~ ! [SY186: $i] :
( ~ ( c @ SV112 @ SY186 )
| ( SV57 @ SY186 ) ) )
= $true )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(445,plain,
! [SV58: $i > $o,SV101: $i,SV25: $i] :
( ( ( ~ ( c @ SV25 @ SV101 ) )
= $true )
| ( ( SV58 @ SV101 )
= $true )
| ( ( fool @ SV25 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(446,plain,
! [SV58: $i > $o,SV87: $i,SV25: $i] :
( ( ( c @ SV25 @ SV87 )
= $false )
| ( ( SV58 @ SV87 )
= $true )
| ( ( SV58 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(447,plain,
! [SV60: $i > $o,SV102: $i,SV27: $i] :
( ( ( ~ ( fool @ SV27 @ SV102 ) )
= $true )
| ( ( ! [SY180: $i] :
( ~ ( fool @ SV102 @ SY180 )
| ( SV60 @ SY180 ) ) )
= $true )
| ( ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(448,plain,
! [SV60: $i > $o,SV88: $i,SV27: $i] :
( ( ( fool @ SV27 @ SV88 )
= $false )
| ( ( ! [SY173: $i] :
( ~ ( fool @ SV88 @ SY173 )
| ( SV60 @ SY173 ) ) )
= $true )
| ( ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(449,plain,
! [SV28: $i,SV89: $i,SV61: $i] :
( ( ( a @ SV61 @ SV89 )
= $false )
| ( ( ws @ c @ SV89 )
= $true )
| ( ( ws @ c @ SV61 )
= $false )
| ( ( fool @ SV28 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(450,plain,
! [SV75: $i,SV62: $i > $o,SV113: $i,SV29: $i] :
( ( ( ~ ( b @ SV29 @ SV113 )
| ~ ! [SY187: $i] :
( ~ ( c @ SV113 @ SY187 )
| ( SV62 @ SY187 ) ) )
= $true )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(451,plain,
! [SV63: $i > $o,SV103: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV103 ) )
= $true )
| ( ( SV63 @ SV103 )
= $true )
| ( ( fool @ SV30 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(452,plain,
! [SV63: $i > $o,SV90: $i,SV30: $i] :
( ( ( b @ SV30 @ SV90 )
= $false )
| ( ( SV63 @ SV90 )
= $true )
| ( ( SV63 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(453,plain,
! [SV64: $i > $o,SV104: $i,SV31: $i] :
( ( ( ~ ( a @ SV31 @ SV104 ) )
= $true )
| ( ( ! [SY181: $i] :
( ~ ( c @ SV104 @ SY181 )
| ( SV64 @ SY181 ) ) )
= $true )
| ( ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(454,plain,
! [SV64: $i > $o,SV91: $i,SV31: $i] :
( ( ( a @ SV31 @ SV91 )
= $false )
| ( ( ! [SY174: $i] :
( ~ ( c @ SV91 @ SY174 )
| ( SV64 @ SY174 ) ) )
= $true )
| ( ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(455,plain,
! [SV32: $i,SV105: $i,SV65: $i] :
( ( ( ~ ( b @ SV65 @ SV105 ) )
= $true )
| ( ( ~ ( ws @ c @ SV105 ) )
= $true )
| ( ( ws @ c @ SV65 )
= $true )
| ( ( fool @ SV32 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(456,plain,
! [SV33: $i,SV106: $i,SV66: $i] :
( ( ( ~ ( a @ SV66 @ SV106 ) )
= $true )
| ( ( ~ ( ws @ b @ SV106 ) )
= $true )
| ( ( ws @ b @ SV66 )
= $true )
| ( ( fool @ SV33 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(457,plain,
! [SV34: $i,SV107: $i,SV67: $i] :
( ( ( ~ ( c @ SV67 @ SV107 ) )
= $true )
| ( ( ~ ( ws @ b @ SV107 ) )
= $true )
| ( ( ws @ b @ SV67 )
= $true )
| ( ( fool @ SV34 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(458,plain,
! [SV70: $i,SV36: $i > $o,SV108: $i,SV2: $i] :
( ( ( ~ ( a @ SV2 @ SV108 ) )
= $true )
| ( ( ~ ! [SY182: $i] :
( ~ ( b @ SV108 @ SY182 )
| ( SV36 @ SY182 ) ) )
= $true )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[417]) ).
thf(459,plain,
! [SV71: $i,SV41: $i > $o,SV109: $i,SV7: $i] :
( ( ( ~ ( b @ SV7 @ SV109 ) )
= $true )
| ( ( ~ ! [SY183: $i] :
( ~ ( a @ SV109 @ SY183 )
| ( SV41 @ SY183 ) ) )
= $true )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(460,plain,
( ( ~ ( c @ sK16_SY164 @ sK17_SY167 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(461,plain,
( ( ws @ c @ sK17_SY167 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[424]) ).
thf(462,plain,
! [SV9: $i,SV92: $i,SV43: $i] :
( ( ( b @ SV43 @ SV92 )
= $false )
| ( ( ~ ( ws @ a @ SV92 ) )
= $true )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(463,plain,
! [SV72: $i,SV44: $i > $o,SV110: $i,SV10: $i] :
( ( ( ~ ( c @ SV10 @ SV110 ) )
= $true )
| ( ( ~ ! [SY184: $i] :
( ~ ( a @ SV110 @ SY184 )
| ( SV44 @ SY184 ) ) )
= $true )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[427]) ).
thf(464,plain,
! [SV46: $i,SV12: $i,SV69: $i] :
( ( ( ~ ( b @ SV69 @ ( sK18_SY166 @ SV12 @ SV46 @ SV69 ) ) )
= $false )
| ( ( priorG @ SV46 @ SV69 )
= $false )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(465,plain,
! [SV69: $i,SV46: $i,SV12: $i] :
( ( ( ws @ b @ ( sK18_SY166 @ SV12 @ SV46 @ SV69 ) )
= $false )
| ( ( priorG @ SV46 @ SV69 )
= $false )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(466,plain,
! [SV13: $i,SV93: $i,SV47: $i] :
( ( ( c @ SV47 @ SV93 )
= $false )
| ( ( ~ ( ws @ a @ SV93 ) )
= $true )
| ( ( ws @ a @ SV47 )
= $true )
| ( ( fool @ SV13 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(467,plain,
! [SV48: $i > $o,SV94: $i,SV14: $i] :
( ( ( b @ SV14 @ SV94 )
= $false )
| ( ( ! [SY175: $i] :
( ~ ( a @ SV94 @ SY175 )
| ( SV48 @ SY175 ) ) )
= $true )
| ( ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(468,plain,
! [SV14: $i,SV48: $i > $o,SV114: $i,SV81: $i] :
( ( ( ~ ( a @ SV81 @ SV114 )
| ( SV48 @ SV114 ) )
= $true )
| ( ( b @ SV14 @ SV81 )
= $false )
| ( ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(469,plain,
! [SV49: $i > $o,SV95: $i,SV15: $i] :
( ( ( c @ SV15 @ SV95 )
= $false )
| ( ( ! [SY176: $i] :
( ~ ( b @ SV95 @ SY176 )
| ( SV49 @ SY176 ) ) )
= $true )
| ( ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(470,plain,
! [SV15: $i,SV49: $i > $o,SV115: $i,SV82: $i] :
( ( ( ~ ( b @ SV82 @ SV115 )
| ( SV49 @ SV115 ) )
= $true )
| ( ( c @ SV15 @ SV82 )
= $false )
| ( ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(471,plain,
! [SV50: $i > $o,SV96: $i,SV17: $i] :
( ( ( c @ SV17 @ SV96 )
= $false )
| ( ( ! [SY177: $i] :
( ~ ( a @ SV96 @ SY177 )
| ( SV50 @ SY177 ) ) )
= $true )
| ( ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(472,plain,
! [SV17: $i,SV50: $i > $o,SV116: $i,SV83: $i] :
( ( ( ~ ( a @ SV83 @ SV116 )
| ( SV50 @ SV116 ) )
= $true )
| ( ( c @ SV17 @ SV83 )
= $false )
| ( ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(473,plain,
! [SV51: $i > $o,SV97: $i,SV18: $i] :
( ( ( a @ SV18 @ SV97 )
= $false )
| ( ( ! [SY178: $i] :
( ~ ( b @ SV97 @ SY178 )
| ( SV51 @ SY178 ) ) )
= $true )
| ( ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(474,plain,
! [SV18: $i,SV51: $i > $o,SV117: $i,SV84: $i] :
( ( ( ~ ( b @ SV84 @ SV117 )
| ( SV51 @ SV117 ) )
= $true )
| ( ( a @ SV18 @ SV84 )
= $false )
| ( ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(475,plain,
! [SV52: $i > $o,SV98: $i,SV19: $i] :
( ( ( a @ SV19 @ SV98 )
= $false )
| ( ( SV52 @ SV98 )
= $true )
| ( ( fool @ SV19 @ ( sK9_SY131 @ SV52 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(476,plain,
! [SV73: $i,SV53: $i > $o,SV111: $i,SV20: $i] :
( ( ( ~ ( c @ SV20 @ SV111 ) )
= $true )
| ( ( ~ ! [SY185: $i] :
( ~ ( b @ SV111 @ SY185 )
| ( SV53 @ SY185 ) ) )
= $true )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(477,plain,
! [SV22: $i,SV99: $i,SV55: $i] :
( ( ( a @ SV55 @ SV99 )
= $false )
| ( ( ~ ( ws @ c @ SV99 ) )
= $true )
| ( ( ws @ c @ SV55 )
= $true )
| ( ( fool @ SV22 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(478,plain,
! [SV56: $i > $o,SV100: $i,SV23: $i] :
( ( ( b @ SV23 @ SV100 )
= $false )
| ( ( ! [SY179: $i] :
( ~ ( c @ SV100 @ SY179 )
| ( SV56 @ SY179 ) ) )
= $true )
| ( ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(479,plain,
! [SV23: $i,SV56: $i > $o,SV118: $i,SV86: $i] :
( ( ( ~ ( c @ SV86 @ SV118 )
| ( SV56 @ SV118 ) )
= $true )
| ( ( b @ SV23 @ SV86 )
= $false )
| ( ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(480,plain,
! [SV74: $i,SV57: $i > $o,SV112: $i,SV24: $i] :
( ( ( ~ ( a @ SV24 @ SV112 ) )
= $true )
| ( ( ~ ! [SY186: $i] :
( ~ ( c @ SV112 @ SY186 )
| ( SV57 @ SY186 ) ) )
= $true )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(481,plain,
! [SV58: $i > $o,SV101: $i,SV25: $i] :
( ( ( c @ SV25 @ SV101 )
= $false )
| ( ( SV58 @ SV101 )
= $true )
| ( ( fool @ SV25 @ ( sK11_SY143 @ SV58 @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(482,plain,
! [SV60: $i > $o,SV102: $i,SV27: $i] :
( ( ( fool @ SV27 @ SV102 )
= $false )
| ( ( ! [SY180: $i] :
( ~ ( fool @ SV102 @ SY180 )
| ( SV60 @ SY180 ) ) )
= $true )
| ( ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(483,plain,
! [SV27: $i,SV60: $i > $o,SV119: $i,SV88: $i] :
( ( ( ~ ( fool @ SV88 @ SV119 )
| ( SV60 @ SV119 ) )
= $true )
| ( ( fool @ SV27 @ SV88 )
= $false )
| ( ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(484,plain,
! [SV75: $i,SV62: $i > $o,SV113: $i,SV29: $i] :
( ( ( ~ ( b @ SV29 @ SV113 ) )
= $true )
| ( ( ~ ! [SY187: $i] :
( ~ ( c @ SV113 @ SY187 )
| ( SV62 @ SY187 ) ) )
= $true )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(485,plain,
! [SV63: $i > $o,SV103: $i,SV30: $i] :
( ( ( b @ SV30 @ SV103 )
= $false )
| ( ( SV63 @ SV103 )
= $true )
| ( ( fool @ SV30 @ ( sK13_SY153 @ SV63 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(486,plain,
! [SV64: $i > $o,SV104: $i,SV31: $i] :
( ( ( a @ SV31 @ SV104 )
= $false )
| ( ( ! [SY181: $i] :
( ~ ( c @ SV104 @ SY181 )
| ( SV64 @ SY181 ) ) )
= $true )
| ( ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(487,plain,
! [SV31: $i,SV64: $i > $o,SV120: $i,SV91: $i] :
( ( ( ~ ( c @ SV91 @ SV120 )
| ( SV64 @ SV120 ) )
= $true )
| ( ( a @ SV31 @ SV91 )
= $false )
| ( ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(488,plain,
! [SV32: $i,SV105: $i,SV65: $i] :
( ( ( b @ SV65 @ SV105 )
= $false )
| ( ( ~ ( ws @ c @ SV105 ) )
= $true )
| ( ( ws @ c @ SV65 )
= $true )
| ( ( fool @ SV32 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(489,plain,
! [SV33: $i,SV106: $i,SV66: $i] :
( ( ( a @ SV66 @ SV106 )
= $false )
| ( ( ~ ( ws @ b @ SV106 ) )
= $true )
| ( ( ws @ b @ SV66 )
= $true )
| ( ( fool @ SV33 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(490,plain,
! [SV34: $i,SV107: $i,SV67: $i] :
( ( ( c @ SV67 @ SV107 )
= $false )
| ( ( ~ ( ws @ b @ SV107 ) )
= $true )
| ( ( ws @ b @ SV67 )
= $true )
| ( ( fool @ SV34 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(491,plain,
! [SV70: $i,SV36: $i > $o,SV108: $i,SV2: $i] :
( ( ( a @ SV2 @ SV108 )
= $false )
| ( ( ~ ! [SY182: $i] :
( ~ ( b @ SV108 @ SY182 )
| ( SV36 @ SY182 ) ) )
= $true )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(492,plain,
! [SV71: $i,SV41: $i > $o,SV109: $i,SV7: $i] :
( ( ( b @ SV7 @ SV109 )
= $false )
| ( ( ~ ! [SY183: $i] :
( ~ ( a @ SV109 @ SY183 )
| ( SV41 @ SY183 ) ) )
= $true )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(493,plain,
( ( c @ sK16_SY164 @ sK17_SY167 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[460]) ).
thf(494,plain,
! [SV9: $i,SV43: $i,SV92: $i] :
( ( ( ws @ a @ SV92 )
= $false )
| ( ( b @ SV43 @ SV92 )
= $false )
| ( ( ws @ a @ SV43 )
= $true )
| ( ( fool @ SV9 @ SV43 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(495,plain,
! [SV72: $i,SV44: $i > $o,SV110: $i,SV10: $i] :
( ( ( c @ SV10 @ SV110 )
= $false )
| ( ( ~ ! [SY184: $i] :
( ~ ( a @ SV110 @ SY184 )
| ( SV44 @ SY184 ) ) )
= $true )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(496,plain,
! [SV46: $i,SV12: $i,SV69: $i] :
( ( ( b @ SV69 @ ( sK18_SY166 @ SV12 @ SV46 @ SV69 ) )
= $true )
| ( ( priorG @ SV46 @ SV69 )
= $false )
| ( ( priorG @ SV12 @ SV46 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(497,plain,
! [SV13: $i,SV47: $i,SV93: $i] :
( ( ( ws @ a @ SV93 )
= $false )
| ( ( c @ SV47 @ SV93 )
= $false )
| ( ( ws @ a @ SV47 )
= $true )
| ( ( fool @ SV13 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(498,plain,
! [SV14: $i,SV48: $i > $o,SV121: $i,SV94: $i] :
( ( ( ~ ( a @ SV94 @ SV121 )
| ( SV48 @ SV121 ) )
= $true )
| ( ( b @ SV14 @ SV94 )
= $false )
| ( ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(499,plain,
! [SV14: $i,SV48: $i > $o,SV114: $i,SV81: $i] :
( ( ( ~ ( a @ SV81 @ SV114 ) )
= $true )
| ( ( SV48 @ SV114 )
= $true )
| ( ( b @ SV14 @ SV81 )
= $false )
| ( ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(500,plain,
! [SV15: $i,SV49: $i > $o,SV122: $i,SV95: $i] :
( ( ( ~ ( b @ SV95 @ SV122 )
| ( SV49 @ SV122 ) )
= $true )
| ( ( c @ SV15 @ SV95 )
= $false )
| ( ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(501,plain,
! [SV15: $i,SV49: $i > $o,SV115: $i,SV82: $i] :
( ( ( ~ ( b @ SV82 @ SV115 ) )
= $true )
| ( ( SV49 @ SV115 )
= $true )
| ( ( c @ SV15 @ SV82 )
= $false )
| ( ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(502,plain,
! [SV17: $i,SV50: $i > $o,SV123: $i,SV96: $i] :
( ( ( ~ ( a @ SV96 @ SV123 )
| ( SV50 @ SV123 ) )
= $true )
| ( ( c @ SV17 @ SV96 )
= $false )
| ( ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(503,plain,
! [SV17: $i,SV50: $i > $o,SV116: $i,SV83: $i] :
( ( ( ~ ( a @ SV83 @ SV116 ) )
= $true )
| ( ( SV50 @ SV116 )
= $true )
| ( ( c @ SV17 @ SV83 )
= $false )
| ( ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[472]) ).
thf(504,plain,
! [SV18: $i,SV51: $i > $o,SV124: $i,SV97: $i] :
( ( ( ~ ( b @ SV97 @ SV124 )
| ( SV51 @ SV124 ) )
= $true )
| ( ( a @ SV18 @ SV97 )
= $false )
| ( ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(505,plain,
! [SV18: $i,SV51: $i > $o,SV117: $i,SV84: $i] :
( ( ( ~ ( b @ SV84 @ SV117 ) )
= $true )
| ( ( SV51 @ SV117 )
= $true )
| ( ( a @ SV18 @ SV84 )
= $false )
| ( ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(506,plain,
! [SV73: $i,SV53: $i > $o,SV111: $i,SV20: $i] :
( ( ( c @ SV20 @ SV111 )
= $false )
| ( ( ~ ! [SY185: $i] :
( ~ ( b @ SV111 @ SY185 )
| ( SV53 @ SY185 ) ) )
= $true )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(507,plain,
! [SV22: $i,SV55: $i,SV99: $i] :
( ( ( ws @ c @ SV99 )
= $false )
| ( ( a @ SV55 @ SV99 )
= $false )
| ( ( ws @ c @ SV55 )
= $true )
| ( ( fool @ SV22 @ SV55 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(508,plain,
! [SV23: $i,SV56: $i > $o,SV125: $i,SV100: $i] :
( ( ( ~ ( c @ SV100 @ SV125 )
| ( SV56 @ SV125 ) )
= $true )
| ( ( b @ SV23 @ SV100 )
= $false )
| ( ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(509,plain,
! [SV23: $i,SV56: $i > $o,SV118: $i,SV86: $i] :
( ( ( ~ ( c @ SV86 @ SV118 ) )
= $true )
| ( ( SV56 @ SV118 )
= $true )
| ( ( b @ SV23 @ SV86 )
= $false )
| ( ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(510,plain,
! [SV74: $i,SV57: $i > $o,SV112: $i,SV24: $i] :
( ( ( a @ SV24 @ SV112 )
= $false )
| ( ( ~ ! [SY186: $i] :
( ~ ( c @ SV112 @ SY186 )
| ( SV57 @ SY186 ) ) )
= $true )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(511,plain,
! [SV27: $i,SV60: $i > $o,SV126: $i,SV102: $i] :
( ( ( ~ ( fool @ SV102 @ SV126 )
| ( SV60 @ SV126 ) )
= $true )
| ( ( fool @ SV27 @ SV102 )
= $false )
| ( ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(512,plain,
! [SV27: $i,SV60: $i > $o,SV119: $i,SV88: $i] :
( ( ( ~ ( fool @ SV88 @ SV119 ) )
= $true )
| ( ( SV60 @ SV119 )
= $true )
| ( ( fool @ SV27 @ SV88 )
= $false )
| ( ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(513,plain,
! [SV75: $i,SV62: $i > $o,SV113: $i,SV29: $i] :
( ( ( b @ SV29 @ SV113 )
= $false )
| ( ( ~ ! [SY187: $i] :
( ~ ( c @ SV113 @ SY187 )
| ( SV62 @ SY187 ) ) )
= $true )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(514,plain,
! [SV31: $i,SV64: $i > $o,SV127: $i,SV104: $i] :
( ( ( ~ ( c @ SV104 @ SV127 )
| ( SV64 @ SV127 ) )
= $true )
| ( ( a @ SV31 @ SV104 )
= $false )
| ( ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(515,plain,
! [SV31: $i,SV64: $i > $o,SV120: $i,SV91: $i] :
( ( ( ~ ( c @ SV91 @ SV120 ) )
= $true )
| ( ( SV64 @ SV120 )
= $true )
| ( ( a @ SV31 @ SV91 )
= $false )
| ( ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(516,plain,
! [SV32: $i,SV65: $i,SV105: $i] :
( ( ( ws @ c @ SV105 )
= $false )
| ( ( b @ SV65 @ SV105 )
= $false )
| ( ( ws @ c @ SV65 )
= $true )
| ( ( fool @ SV32 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(517,plain,
! [SV33: $i,SV66: $i,SV106: $i] :
( ( ( ws @ b @ SV106 )
= $false )
| ( ( a @ SV66 @ SV106 )
= $false )
| ( ( ws @ b @ SV66 )
= $true )
| ( ( fool @ SV33 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(518,plain,
! [SV34: $i,SV67: $i,SV107: $i] :
( ( ( ws @ b @ SV107 )
= $false )
| ( ( c @ SV67 @ SV107 )
= $false )
| ( ( ws @ b @ SV67 )
= $true )
| ( ( fool @ SV34 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(519,plain,
! [SV70: $i,SV2: $i,SV36: $i > $o,SV108: $i] :
( ( ( ! [SY182: $i] :
( ~ ( b @ SV108 @ SY182 )
| ( SV36 @ SY182 ) ) )
= $false )
| ( ( a @ SV2 @ SV108 )
= $false )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(520,plain,
! [SV71: $i,SV7: $i,SV41: $i > $o,SV109: $i] :
( ( ( ! [SY183: $i] :
( ~ ( a @ SV109 @ SY183 )
| ( SV41 @ SY183 ) ) )
= $false )
| ( ( b @ SV7 @ SV109 )
= $false )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(521,plain,
! [SV72: $i,SV10: $i,SV44: $i > $o,SV110: $i] :
( ( ( ! [SY184: $i] :
( ~ ( a @ SV110 @ SY184 )
| ( SV44 @ SY184 ) ) )
= $false )
| ( ( c @ SV10 @ SV110 )
= $false )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(522,plain,
! [SV14: $i,SV48: $i > $o,SV121: $i,SV94: $i] :
( ( ( ~ ( a @ SV94 @ SV121 ) )
= $true )
| ( ( SV48 @ SV121 )
= $true )
| ( ( b @ SV14 @ SV94 )
= $false )
| ( ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(523,plain,
! [SV14: $i,SV48: $i > $o,SV114: $i,SV81: $i] :
( ( ( a @ SV81 @ SV114 )
= $false )
| ( ( SV48 @ SV114 )
= $true )
| ( ( b @ SV14 @ SV81 )
= $false )
| ( ( SV48 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(524,plain,
! [SV15: $i,SV49: $i > $o,SV122: $i,SV95: $i] :
( ( ( ~ ( b @ SV95 @ SV122 ) )
= $true )
| ( ( SV49 @ SV122 )
= $true )
| ( ( c @ SV15 @ SV95 )
= $false )
| ( ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(525,plain,
! [SV15: $i,SV49: $i > $o,SV115: $i,SV82: $i] :
( ( ( b @ SV82 @ SV115 )
= $false )
| ( ( SV49 @ SV115 )
= $true )
| ( ( c @ SV15 @ SV82 )
= $false )
| ( ( SV49 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(526,plain,
! [SV17: $i,SV50: $i > $o,SV123: $i,SV96: $i] :
( ( ( ~ ( a @ SV96 @ SV123 ) )
= $true )
| ( ( SV50 @ SV123 )
= $true )
| ( ( c @ SV17 @ SV96 )
= $false )
| ( ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(527,plain,
! [SV17: $i,SV50: $i > $o,SV116: $i,SV83: $i] :
( ( ( a @ SV83 @ SV116 )
= $false )
| ( ( SV50 @ SV116 )
= $true )
| ( ( c @ SV17 @ SV83 )
= $false )
| ( ( SV50 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(528,plain,
! [SV18: $i,SV51: $i > $o,SV124: $i,SV97: $i] :
( ( ( ~ ( b @ SV97 @ SV124 ) )
= $true )
| ( ( SV51 @ SV124 )
= $true )
| ( ( a @ SV18 @ SV97 )
= $false )
| ( ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(529,plain,
! [SV18: $i,SV51: $i > $o,SV117: $i,SV84: $i] :
( ( ( b @ SV84 @ SV117 )
= $false )
| ( ( SV51 @ SV117 )
= $true )
| ( ( a @ SV18 @ SV84 )
= $false )
| ( ( SV51 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(530,plain,
! [SV73: $i,SV20: $i,SV53: $i > $o,SV111: $i] :
( ( ( ! [SY185: $i] :
( ~ ( b @ SV111 @ SY185 )
| ( SV53 @ SY185 ) ) )
= $false )
| ( ( c @ SV20 @ SV111 )
= $false )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(531,plain,
! [SV23: $i,SV56: $i > $o,SV125: $i,SV100: $i] :
( ( ( ~ ( c @ SV100 @ SV125 ) )
= $true )
| ( ( SV56 @ SV125 )
= $true )
| ( ( b @ SV23 @ SV100 )
= $false )
| ( ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(532,plain,
! [SV23: $i,SV56: $i > $o,SV118: $i,SV86: $i] :
( ( ( c @ SV86 @ SV118 )
= $false )
| ( ( SV56 @ SV118 )
= $true )
| ( ( b @ SV23 @ SV86 )
= $false )
| ( ( SV56 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(533,plain,
! [SV74: $i,SV24: $i,SV57: $i > $o,SV112: $i] :
( ( ( ! [SY186: $i] :
( ~ ( c @ SV112 @ SY186 )
| ( SV57 @ SY186 ) ) )
= $false )
| ( ( a @ SV24 @ SV112 )
= $false )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(534,plain,
! [SV27: $i,SV60: $i > $o,SV126: $i,SV102: $i] :
( ( ( ~ ( fool @ SV102 @ SV126 ) )
= $true )
| ( ( SV60 @ SV126 )
= $true )
| ( ( fool @ SV27 @ SV102 )
= $false )
| ( ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[511]) ).
thf(535,plain,
! [SV27: $i,SV60: $i > $o,SV119: $i,SV88: $i] :
( ( ( fool @ SV88 @ SV119 )
= $false )
| ( ( SV60 @ SV119 )
= $true )
| ( ( fool @ SV27 @ SV88 )
= $false )
| ( ( SV60 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(536,plain,
! [SV75: $i,SV29: $i,SV62: $i > $o,SV113: $i] :
( ( ( ! [SY187: $i] :
( ~ ( c @ SV113 @ SY187 )
| ( SV62 @ SY187 ) ) )
= $false )
| ( ( b @ SV29 @ SV113 )
= $false )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(537,plain,
! [SV31: $i,SV64: $i > $o,SV127: $i,SV104: $i] :
( ( ( ~ ( c @ SV104 @ SV127 ) )
= $true )
| ( ( SV64 @ SV127 )
= $true )
| ( ( a @ SV31 @ SV104 )
= $false )
| ( ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(538,plain,
! [SV31: $i,SV64: $i > $o,SV120: $i,SV91: $i] :
( ( ( c @ SV91 @ SV120 )
= $false )
| ( ( SV64 @ SV120 )
= $true )
| ( ( a @ SV31 @ SV91 )
= $false )
| ( ( SV64 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(539,plain,
! [SV36: $i > $o,SV2: $i,SV70: $i,SV108: $i] :
( ( ( ~ ( b @ SV108 @ ( sK19_SY182 @ SV70 @ SV2 @ SV36 @ SV108 ) )
| ( SV36 @ ( sK19_SY182 @ SV70 @ SV2 @ SV36 @ SV108 ) ) )
= $false )
| ( ( a @ SV2 @ SV108 )
= $false )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[519]) ).
thf(540,plain,
! [SV41: $i > $o,SV7: $i,SV71: $i,SV109: $i] :
( ( ( ~ ( a @ SV109 @ ( sK20_SY183 @ SV71 @ SV7 @ SV41 @ SV109 ) )
| ( SV41 @ ( sK20_SY183 @ SV71 @ SV7 @ SV41 @ SV109 ) ) )
= $false )
| ( ( b @ SV7 @ SV109 )
= $false )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[520]) ).
thf(541,plain,
! [SV44: $i > $o,SV10: $i,SV72: $i,SV110: $i] :
( ( ( ~ ( a @ SV110 @ ( sK21_SY184 @ SV72 @ SV10 @ SV44 @ SV110 ) )
| ( SV44 @ ( sK21_SY184 @ SV72 @ SV10 @ SV44 @ SV110 ) ) )
= $false )
| ( ( c @ SV10 @ SV110 )
= $false )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[521]) ).
thf(542,plain,
! [SV14: $i,SV48: $i > $o,SV121: $i,SV94: $i] :
( ( ( a @ SV94 @ SV121 )
= $false )
| ( ( SV48 @ SV121 )
= $true )
| ( ( b @ SV14 @ SV94 )
= $false )
| ( ( a @ SV14 @ ( sK5_SY119 @ SV48 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(543,plain,
! [SV15: $i,SV49: $i > $o,SV122: $i,SV95: $i] :
( ( ( b @ SV95 @ SV122 )
= $false )
| ( ( SV49 @ SV122 )
= $true )
| ( ( c @ SV15 @ SV95 )
= $false )
| ( ( b @ SV15 @ ( sK6_SY122 @ SV49 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(544,plain,
! [SV17: $i,SV50: $i > $o,SV123: $i,SV96: $i] :
( ( ( a @ SV96 @ SV123 )
= $false )
| ( ( SV50 @ SV123 )
= $true )
| ( ( c @ SV17 @ SV96 )
= $false )
| ( ( a @ SV17 @ ( sK7_SY125 @ SV50 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(545,plain,
! [SV18: $i,SV51: $i > $o,SV124: $i,SV97: $i] :
( ( ( b @ SV97 @ SV124 )
= $false )
| ( ( SV51 @ SV124 )
= $true )
| ( ( a @ SV18 @ SV97 )
= $false )
| ( ( b @ SV18 @ ( sK8_SY128 @ SV51 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(546,plain,
! [SV53: $i > $o,SV20: $i,SV73: $i,SV111: $i] :
( ( ( ~ ( b @ SV111 @ ( sK22_SY185 @ SV73 @ SV20 @ SV53 @ SV111 ) )
| ( SV53 @ ( sK22_SY185 @ SV73 @ SV20 @ SV53 @ SV111 ) ) )
= $false )
| ( ( c @ SV20 @ SV111 )
= $false )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[530]) ).
thf(547,plain,
! [SV23: $i,SV56: $i > $o,SV125: $i,SV100: $i] :
( ( ( c @ SV100 @ SV125 )
= $false )
| ( ( SV56 @ SV125 )
= $true )
| ( ( b @ SV23 @ SV100 )
= $false )
| ( ( c @ SV23 @ ( sK10_SY137 @ SV56 @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(548,plain,
! [SV57: $i > $o,SV24: $i,SV74: $i,SV112: $i] :
( ( ( ~ ( c @ SV112 @ ( sK23_SY186 @ SV74 @ SV24 @ SV57 @ SV112 ) )
| ( SV57 @ ( sK23_SY186 @ SV74 @ SV24 @ SV57 @ SV112 ) ) )
= $false )
| ( ( a @ SV24 @ SV112 )
= $false )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[533]) ).
thf(549,plain,
! [SV27: $i,SV60: $i > $o,SV126: $i,SV102: $i] :
( ( ( fool @ SV102 @ SV126 )
= $false )
| ( ( SV60 @ SV126 )
= $true )
| ( ( fool @ SV27 @ SV102 )
= $false )
| ( ( fool @ SV27 @ ( sK12_SY146 @ SV60 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(550,plain,
! [SV62: $i > $o,SV29: $i,SV75: $i,SV113: $i] :
( ( ( ~ ( c @ SV113 @ ( sK24_SY187 @ SV75 @ SV29 @ SV62 @ SV113 ) )
| ( SV62 @ ( sK24_SY187 @ SV75 @ SV29 @ SV62 @ SV113 ) ) )
= $false )
| ( ( b @ SV29 @ SV113 )
= $false )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(551,plain,
! [SV31: $i,SV64: $i > $o,SV127: $i,SV104: $i] :
( ( ( c @ SV104 @ SV127 )
= $false )
| ( ( SV64 @ SV127 )
= $true )
| ( ( a @ SV31 @ SV104 )
= $false )
| ( ( c @ SV31 @ ( sK14_SY155 @ SV64 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(552,plain,
! [SV36: $i > $o,SV2: $i,SV70: $i,SV108: $i] :
( ( ( ~ ( b @ SV108 @ ( sK19_SY182 @ SV70 @ SV2 @ SV36 @ SV108 ) ) )
= $false )
| ( ( a @ SV2 @ SV108 )
= $false )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(553,plain,
! [SV108: $i,SV2: $i,SV70: $i,SV36: $i > $o] :
( ( ( SV36 @ ( sK19_SY182 @ SV70 @ SV2 @ SV36 @ SV108 ) )
= $false )
| ( ( a @ SV2 @ SV108 )
= $false )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[539]) ).
thf(554,plain,
! [SV41: $i > $o,SV7: $i,SV71: $i,SV109: $i] :
( ( ( ~ ( a @ SV109 @ ( sK20_SY183 @ SV71 @ SV7 @ SV41 @ SV109 ) ) )
= $false )
| ( ( b @ SV7 @ SV109 )
= $false )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(555,plain,
! [SV109: $i,SV7: $i,SV71: $i,SV41: $i > $o] :
( ( ( SV41 @ ( sK20_SY183 @ SV71 @ SV7 @ SV41 @ SV109 ) )
= $false )
| ( ( b @ SV7 @ SV109 )
= $false )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[540]) ).
thf(556,plain,
! [SV44: $i > $o,SV10: $i,SV72: $i,SV110: $i] :
( ( ( ~ ( a @ SV110 @ ( sK21_SY184 @ SV72 @ SV10 @ SV44 @ SV110 ) ) )
= $false )
| ( ( c @ SV10 @ SV110 )
= $false )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(557,plain,
! [SV110: $i,SV10: $i,SV72: $i,SV44: $i > $o] :
( ( ( SV44 @ ( sK21_SY184 @ SV72 @ SV10 @ SV44 @ SV110 ) )
= $false )
| ( ( c @ SV10 @ SV110 )
= $false )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[541]) ).
thf(558,plain,
! [SV53: $i > $o,SV20: $i,SV73: $i,SV111: $i] :
( ( ( ~ ( b @ SV111 @ ( sK22_SY185 @ SV73 @ SV20 @ SV53 @ SV111 ) ) )
= $false )
| ( ( c @ SV20 @ SV111 )
= $false )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[546]) ).
thf(559,plain,
! [SV111: $i,SV20: $i,SV73: $i,SV53: $i > $o] :
( ( ( SV53 @ ( sK22_SY185 @ SV73 @ SV20 @ SV53 @ SV111 ) )
= $false )
| ( ( c @ SV20 @ SV111 )
= $false )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[546]) ).
thf(560,plain,
! [SV57: $i > $o,SV24: $i,SV74: $i,SV112: $i] :
( ( ( ~ ( c @ SV112 @ ( sK23_SY186 @ SV74 @ SV24 @ SV57 @ SV112 ) ) )
= $false )
| ( ( a @ SV24 @ SV112 )
= $false )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(561,plain,
! [SV112: $i,SV24: $i,SV74: $i,SV57: $i > $o] :
( ( ( SV57 @ ( sK23_SY186 @ SV74 @ SV24 @ SV57 @ SV112 ) )
= $false )
| ( ( a @ SV24 @ SV112 )
= $false )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(562,plain,
! [SV62: $i > $o,SV29: $i,SV75: $i,SV113: $i] :
( ( ( ~ ( c @ SV113 @ ( sK24_SY187 @ SV75 @ SV29 @ SV62 @ SV113 ) ) )
= $false )
| ( ( b @ SV29 @ SV113 )
= $false )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(563,plain,
! [SV113: $i,SV29: $i,SV75: $i,SV62: $i > $o] :
( ( ( SV62 @ ( sK24_SY187 @ SV75 @ SV29 @ SV62 @ SV113 ) )
= $false )
| ( ( b @ SV29 @ SV113 )
= $false )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(564,plain,
! [SV36: $i > $o,SV2: $i,SV70: $i,SV108: $i] :
( ( ( b @ SV108 @ ( sK19_SY182 @ SV70 @ SV2 @ SV36 @ SV108 ) )
= $true )
| ( ( a @ SV2 @ SV108 )
= $false )
| ( ( SV36 @ SV70 )
= $true )
| ( ( b @ SV2 @ SV70 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(565,plain,
! [SV41: $i > $o,SV7: $i,SV71: $i,SV109: $i] :
( ( ( a @ SV109 @ ( sK20_SY183 @ SV71 @ SV7 @ SV41 @ SV109 ) )
= $true )
| ( ( b @ SV7 @ SV109 )
= $false )
| ( ( SV41 @ SV71 )
= $true )
| ( ( a @ SV7 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[554]) ).
thf(566,plain,
! [SV44: $i > $o,SV10: $i,SV72: $i,SV110: $i] :
( ( ( a @ SV110 @ ( sK21_SY184 @ SV72 @ SV10 @ SV44 @ SV110 ) )
= $true )
| ( ( c @ SV10 @ SV110 )
= $false )
| ( ( SV44 @ SV72 )
= $true )
| ( ( a @ SV10 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(567,plain,
! [SV53: $i > $o,SV20: $i,SV73: $i,SV111: $i] :
( ( ( b @ SV111 @ ( sK22_SY185 @ SV73 @ SV20 @ SV53 @ SV111 ) )
= $true )
| ( ( c @ SV20 @ SV111 )
= $false )
| ( ( SV53 @ SV73 )
= $true )
| ( ( b @ SV20 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[558]) ).
thf(568,plain,
! [SV57: $i > $o,SV24: $i,SV74: $i,SV112: $i] :
( ( ( c @ SV112 @ ( sK23_SY186 @ SV74 @ SV24 @ SV57 @ SV112 ) )
= $true )
| ( ( a @ SV24 @ SV112 )
= $false )
| ( ( SV57 @ SV74 )
= $true )
| ( ( c @ SV24 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(569,plain,
! [SV62: $i > $o,SV29: $i,SV75: $i,SV113: $i] :
( ( ( c @ SV113 @ ( sK24_SY187 @ SV75 @ SV29 @ SV62 @ SV113 ) )
= $true )
| ( ( b @ SV29 @ SV113 )
= $false )
| ( ( SV62 @ SV75 )
= $true )
| ( ( c @ SV29 @ SV75 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(570,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[159,569,568,567,566,565,564,563,561,559,557,555,553,551,549,547,545,544,543,542,538,535,532,529,527,525,523,518,517,516,507,497,496,494,493,485,481,475,465,461,452,449,446,439,425,423,421,420,419,418,416,404,361,340,335,309,295,254]) ).
thf(571,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[570]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PUZ087^2 : TPTP v8.1.0. Released v5.2.0.
% 0.00/0.09 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat May 28 20:04:10 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.30
% 0.13/0.30 No.of.Axioms: 34
% 0.13/0.30
% 0.13/0.30 Length.of.Defs: 5455
% 0.13/0.30
% 0.13/0.30 Contains.Choice.Funs: false
% 0.13/0.31 (rf:0,axioms:34,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:36,loop_count:0,foatp_calls:0,translation:fof_full)................................
% 0.43/0.61
% 0.43/0.61 ********************************
% 0.43/0.61 * All subproblems solved! *
% 0.43/0.61 ********************************
% 0.43/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:34,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:570,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.54/0.75
% 0.54/0.75 %**** Beginning of derivation protocol ****
% 0.54/0.75 % SZS output start CNFRefutation
% See solution above
% 0.54/0.75
% 0.54/0.75 %**** End of derivation protocol ****
% 0.54/0.75 %**** no. of clauses in derivation: 571 ****
% 0.54/0.75 %**** clause counter: 570 ****
% 0.54/0.75
% 0.54/0.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:34,ps:3,u:6,ude:false,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:570,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------