TSTP Solution File: PUZ087^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ087^1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 18:19:35 EDT 2022
% Result : Theorem 0.46s 0.66s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 122
% Syntax : Number of formulae : 622 ( 179 unt; 58 typ; 31 def)
% Number of atoms : 4737 (1204 equ; 0 cnn)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 6969 (1086 ~;1429 |; 8 &;4438 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 582 ( 582 >; 0 *; 0 +; 0 <<)
% Number of symbols : 60 ( 57 usr; 4 con; 0-4 aty)
% Number of variables : 1835 ( 83 ^1746 !; 6 ?;1835 :)
% 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_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_sK10_SY129,type,
sK10_SY129: ( $i > $o ) > $i > $i ).
thf(tp_sK11_SY133,type,
sK11_SY133: ( $i > $o ) > $i > $i ).
thf(tp_sK12_SY137,type,
sK12_SY137: ( $i > $o ) > $i > $i ).
thf(tp_sK13_SY143,type,
sK13_SY143: ( $i > $o ) > $i > $i ).
thf(tp_sK14_SY145,type,
sK14_SY145: ( $i > $o ) > $i > $i ).
thf(tp_sK15_SY146,type,
sK15_SY146: ( $i > $o ) > $i > $i ).
thf(tp_sK16_SY163,type,
sK16_SY163: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK17_SY164,type,
sK17_SY164: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK18_SY165,type,
sK18_SY165: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK19_SY166,type,
sK19_SY166: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK1_SX0,type,
sK1_SX0: $i ).
thf(tp_sK20_SY167,type,
sK20_SY167: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK21_SY168,type,
sK21_SY168: $i > $i > ( $i > $o ) > $i > $i ).
thf(tp_sK2_SY2,type,
sK2_SY2: $i > $i ).
thf(tp_sK3_SY52,type,
sK3_SY52: $i > $i ).
thf(tp_sK4_SY132,type,
sK4_SY132: $i ).
thf(tp_sK5_SY104,type,
sK5_SY104: ( $i > $o ) > $i > $i ).
thf(tp_sK6_SY107,type,
sK6_SY107: ( $i > $o ) > $i > $i ).
thf(tp_sK7_SY114,type,
sK7_SY114: ( $i > $o ) > $i > $i ).
thf(tp_sK8_SY120,type,
sK8_SY120: ( $i > $o ) > $i > $i ).
thf(tp_sK9_SY124,type,
sK9_SY124: ( $i > $o ) > $i > $i ).
thf(tp_ws,type,
ws: ( $i > $i > $o ) > $i > $o ).
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 @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(2,axiom,
mvalid @ ( 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,conjecture,
mvalid @ ( mbox @ c @ ( ws @ c ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(34,negated_conjecture,
( ( mvalid @ ( mbox @ c @ ( ws @ c ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[33]) ).
thf(35,plain,
( ( ~ ( mvalid @ ( mbox @ c @ ( ws @ c ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[34]) ).
thf(36,plain,
( ( mvalid @ ( mbox @ fool @ ( mor @ ( ws @ a ) @ ( mor @ ( ws @ b ) @ ( ws @ c ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(37,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ b @ ( ws @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(38,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ a ) @ ( mbox @ c @ ( ws @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(39,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ a @ ( ws @ b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(40,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ b ) @ ( mbox @ c @ ( ws @ b ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(41,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ a @ ( ws @ c ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(42,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( ws @ c ) @ ( mbox @ b @ ( ws @ c ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(43,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ b @ ( mnot @ ( ws @ a ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(44,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ a ) ) @ ( mbox @ c @ ( mnot @ ( ws @ a ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(45,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ b ) ) @ ( mbox @ a @ ( mnot @ ( ws @ b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(46,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ b ) ) @ ( mbox @ c @ ( mnot @ ( ws @ b ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(47,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ a @ ( mnot @ ( ws @ c ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(48,plain,
( ( mvalid @ ( mbox @ fool @ ( mimplies @ ( mnot @ ( ws @ c ) ) @ ( mbox @ b @ ( mnot @ ( ws @ c ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(49,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(50,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ ( mbox @ fool @ ( mbox @ fool @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(51,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ a @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(52,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ b @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(53,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ fool @ Phi ) @ ( mbox @ c @ Phi ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(54,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ a @ Phi ) @ ( mbox @ b @ ( mbox @ a @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(55,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ a @ Phi ) @ ( mbox @ c @ ( mbox @ a @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(56,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ b @ Phi ) @ ( mbox @ a @ ( mbox @ b @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(57,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ b @ Phi ) @ ( mbox @ c @ ( mbox @ b @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(58,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ c @ Phi ) @ ( mbox @ a @ ( mbox @ c @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(59,plain,
( ( mvalid
@ ( mforall_prop
@ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ c @ Phi ) @ ( mbox @ b @ ( mbox @ c @ Phi ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(60,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(61,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(62,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(63,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(64,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(65,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(66,plain,
( ( mvalid @ ( mnot @ ( mbox @ a @ ( ws @ a ) ) ) )
= $true ),
inference(copy,[status(thm)],[2]) ).
thf(67,plain,
( ( mvalid @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ) )
= $true ),
inference(copy,[status(thm)],[1]) ).
thf(68,plain,
( ( ~ ( mvalid @ ( mbox @ c @ ( ws @ c ) ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(69,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)],[43,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(70,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( a @ SX0 @ SX1 )
| ( ws @ a @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(71,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)],[39,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(72,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)],[46,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(73,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)],[42,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(74,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)],[41,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(75,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)],[64,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(76,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)],[37,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(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)],[44,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(78,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)],[47,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(79,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)],[65,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(80,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)],[53,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(81,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)],[48,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(82,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)],[58,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(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)],[61,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(84,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)],[38,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(85,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)],[59,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(86,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)],[60,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(87,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)],[55,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(88,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i] :
( ~ ( b @ SX0 @ SX1 )
| ( ws @ b @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67,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,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ~ ( ws @ b @ SX1 )
| ! [SX2: $i] :
( ~ ( c @ SX1 @ SX2 )
| ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(90,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)],[51,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(91,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)],[63,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(92,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)],[57,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(93,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( c @ SX0 @ SX1 )
| ( ws @ c @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(94,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( fool @ SX0 @ SX1 )
| ( ws @ a @ SX1 )
| ( ws @ b @ SX1 )
| ( ws @ c @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(95,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)],[54,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(96,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)],[45,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(97,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)],[56,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(98,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)],[62,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(99,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)],[52,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(100,plain,
( ( ! [SX0: $i,SX1: $i > $o] :
( ~ ! [SX2: $i] :
( ~ ( fool @ SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(101,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)],[50,mand,mbox,mcountersatisfiable,mdia,meq_ind,meq_prop,mequiv,meuclidean,mexists_ind,mexists_prop,mfalse,mforall_ind,mforall_prop,mfunctional,mimplied,mimplies,minvalid,mnot,mor,mpartially_functional,mreflexive,msatisfiable,mserial,msymmetric,mtransitive,mtrue,mvalid,mweakly_connected,mweakly_dense,mweakly_directed,mxor]) ).
thf(102,plain,
! [SV1: $i] :
( ( ! [SY0: $i] :
( ~ ( fool @ SV1 @ SY0 )
| ~ ~ ( ws @ a @ SY0 )
| ! [SX2: $i] :
( ~ ( b @ SY0 @ SX2 )
| ~ ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(103,plain,
! [SV2: $i] :
( ( ~ ! [SY2: $i] :
( ~ ( a @ SV2 @ SY2 )
| ( ws @ a @ SY2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(104,plain,
! [SV3: $i] :
( ( ! [SY3: $i] :
( ~ ( fool @ SV3 @ SY3 )
| ~ ( ws @ b @ SY3 )
| ! [SX2: $i] :
( ~ ( a @ SY3 @ SX2 )
| ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(105,plain,
! [SV4: $i] :
( ( ! [SY5: $i] :
( ~ ( fool @ SV4 @ SY5 )
| ~ ~ ( ws @ b @ SY5 )
| ! [SX2: $i] :
( ~ ( c @ SY5 @ SX2 )
| ~ ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(106,plain,
! [SV5: $i] :
( ( ! [SY7: $i] :
( ~ ( fool @ SV5 @ SY7 )
| ~ ( ws @ c @ SY7 )
| ! [SX2: $i] :
( ~ ( b @ SY7 @ SX2 )
| ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(107,plain,
! [SV6: $i] :
( ( ! [SY9: $i] :
( ~ ( fool @ SV6 @ SY9 )
| ~ ( ws @ c @ SY9 )
| ! [SX2: $i] :
( ~ ( a @ SY9 @ SX2 )
| ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(108,plain,
! [SV7: $i] :
( ( ! [SY11: $i > $o] :
( ~ ~ ! [SY12: $i] :
( ~ ( c @ SV7 @ SY12 )
| ( SY11 @ SY12 ) )
| ! [SY13: $i] :
( ~ ( a @ SV7 @ SY13 )
| ~ ! [SX3: $i] :
( ~ ( c @ SY13 @ SX3 )
| ( SY11 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(109,plain,
! [SV8: $i] :
( ( ! [SY15: $i] :
( ~ ( fool @ SV8 @ SY15 )
| ~ ( ws @ a @ SY15 )
| ! [SX2: $i] :
( ~ ( b @ SY15 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(110,plain,
! [SV9: $i] :
( ( ! [SY17: $i] :
( ~ ( fool @ SV9 @ SY17 )
| ~ ~ ( ws @ a @ SY17 )
| ! [SX2: $i] :
( ~ ( c @ SY17 @ SX2 )
| ~ ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(111,plain,
! [SV10: $i] :
( ( ! [SY19: $i] :
( ~ ( fool @ SV10 @ SY19 )
| ~ ~ ( ws @ c @ SY19 )
| ! [SX2: $i] :
( ~ ( a @ SY19 @ SX2 )
| ~ ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(112,plain,
! [SV11: $i] :
( ( ! [SY21: $i > $o] :
( ~ ~ ! [SY22: $i] :
( ~ ( c @ SV11 @ SY22 )
| ( SY21 @ SY22 ) )
| ! [SY23: $i] :
( ~ ( b @ SV11 @ SY23 )
| ~ ! [SX3: $i] :
( ~ ( c @ SY23 @ SX3 )
| ( SY21 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(113,plain,
! [SV12: $i] :
( ( ! [SY25: $i > $o] :
( ~ ! [SY26: $i] :
( ~ ( fool @ SV12 @ SY26 )
| ( SY25 @ SY26 ) )
| ! [SY27: $i] :
( ~ ( c @ SV12 @ SY27 )
| ( SY25 @ SY27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(114,plain,
! [SV13: $i] :
( ( ! [SY28: $i] :
( ~ ( fool @ SV13 @ SY28 )
| ~ ~ ( ws @ c @ SY28 )
| ! [SX2: $i] :
( ~ ( b @ SY28 @ SX2 )
| ~ ( ws @ c @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(115,plain,
! [SV14: $i] :
( ( ! [SY30: $i > $o] :
( ~ ! [SY31: $i] :
( ~ ( c @ SV14 @ SY31 )
| ( SY30 @ SY31 ) )
| ! [SY32: $i] :
( ~ ( a @ SV14 @ SY32 )
| ! [SX3: $i] :
( ~ ( c @ SY32 @ SX3 )
| ( SY30 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(116,plain,
! [SV15: $i] :
( ( ! [SY34: $i > $o] :
( ~ ~ ! [SY35: $i] :
( ~ ( a @ SV15 @ SY35 )
| ( SY34 @ SY35 ) )
| ! [SY36: $i] :
( ~ ( c @ SV15 @ SY36 )
| ~ ! [SX3: $i] :
( ~ ( a @ SY36 @ SX3 )
| ( SY34 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(117,plain,
! [SV16: $i] :
( ( ! [SY38: $i] :
( ~ ( fool @ SV16 @ SY38 )
| ~ ( ws @ a @ SY38 )
| ! [SX2: $i] :
( ~ ( c @ SY38 @ SX2 )
| ( ws @ a @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(118,plain,
! [SV17: $i] :
( ( ! [SY40: $i > $o] :
( ~ ! [SY41: $i] :
( ~ ( c @ SV17 @ SY41 )
| ( SY40 @ SY41 ) )
| ! [SY42: $i] :
( ~ ( b @ SV17 @ SY42 )
| ! [SX3: $i] :
( ~ ( c @ SY42 @ SX3 )
| ( SY40 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(119,plain,
! [SV18: $i] :
( ( ! [SY44: $i > $o] :
( ~ ~ ! [SY45: $i] :
( ~ ( a @ SV18 @ SY45 )
| ( SY44 @ SY45 ) )
| ! [SY46: $i] :
( ~ ( b @ SV18 @ SY46 )
| ~ ! [SX3: $i] :
( ~ ( a @ SY46 @ SX3 )
| ( SY44 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(120,plain,
! [SV19: $i] :
( ( ! [SY48: $i > $o] :
( ~ ! [SY49: $i] :
( ~ ( a @ SV19 @ SY49 )
| ( SY48 @ SY49 ) )
| ! [SY50: $i] :
( ~ ( c @ SV19 @ SY50 )
| ! [SX3: $i] :
( ~ ( a @ SY50 @ SX3 )
| ( SY48 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(121,plain,
! [SV20: $i] :
( ( ~ ! [SY52: $i] :
( ~ ( b @ SV20 @ SY52 )
| ( ws @ b @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(122,plain,
! [SV21: $i] :
( ( ! [SY53: $i] :
( ~ ( fool @ SV21 @ SY53 )
| ~ ( ws @ b @ SY53 )
| ! [SX2: $i] :
( ~ ( c @ SY53 @ SX2 )
| ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(123,plain,
! [SV22: $i] :
( ( ! [SY55: $i > $o] :
( ~ ! [SY56: $i] :
( ~ ( fool @ SV22 @ SY56 )
| ( SY55 @ SY56 ) )
| ! [SY57: $i] :
( ~ ( a @ SV22 @ SY57 )
| ( SY55 @ SY57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(124,plain,
! [SV23: $i] :
( ( ! [SY58: $i > $o] :
( ~ ~ ! [SY59: $i] :
( ~ ( b @ SV23 @ SY59 )
| ( SY58 @ SY59 ) )
| ! [SY60: $i] :
( ~ ( c @ SV23 @ SY60 )
| ~ ! [SX3: $i] :
( ~ ( b @ SY60 @ SX3 )
| ( SY58 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(125,plain,
! [SV24: $i] :
( ( ! [SY62: $i > $o] :
( ~ ! [SY63: $i] :
( ~ ( b @ SV24 @ SY63 )
| ( SY62 @ SY63 ) )
| ! [SY64: $i] :
( ~ ( c @ SV24 @ SY64 )
| ! [SX3: $i] :
( ~ ( b @ SY64 @ SX3 )
| ( SY62 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(126,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( c @ SX0 @ SX1 )
| ( ws @ c @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(127,plain,
! [SV25: $i] :
( ( ! [SY66: $i] :
( ~ ( fool @ SV25 @ SY66 )
| ( ws @ a @ SY66 )
| ( ws @ b @ SY66 )
| ( ws @ c @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(128,plain,
! [SV26: $i] :
( ( ! [SY67: $i > $o] :
( ~ ! [SY68: $i] :
( ~ ( a @ SV26 @ SY68 )
| ( SY67 @ SY68 ) )
| ! [SY69: $i] :
( ~ ( b @ SV26 @ SY69 )
| ! [SX3: $i] :
( ~ ( a @ SY69 @ SX3 )
| ( SY67 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(129,plain,
! [SV27: $i] :
( ( ! [SY71: $i] :
( ~ ( fool @ SV27 @ SY71 )
| ~ ~ ( ws @ b @ SY71 )
| ! [SX2: $i] :
( ~ ( a @ SY71 @ SX2 )
| ~ ( ws @ b @ SX2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(130,plain,
! [SV28: $i] :
( ( ! [SY73: $i > $o] :
( ~ ! [SY74: $i] :
( ~ ( b @ SV28 @ SY74 )
| ( SY73 @ SY74 ) )
| ! [SY75: $i] :
( ~ ( a @ SV28 @ SY75 )
| ! [SX3: $i] :
( ~ ( b @ SY75 @ SX3 )
| ( SY73 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(131,plain,
! [SV29: $i] :
( ( ! [SY77: $i > $o] :
( ~ ~ ! [SY78: $i] :
( ~ ( b @ SV29 @ SY78 )
| ( SY77 @ SY78 ) )
| ! [SY79: $i] :
( ~ ( a @ SV29 @ SY79 )
| ~ ! [SX3: $i] :
( ~ ( b @ SY79 @ SX3 )
| ( SY77 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(132,plain,
! [SV30: $i] :
( ( ! [SY81: $i > $o] :
( ~ ! [SY82: $i] :
( ~ ( fool @ SV30 @ SY82 )
| ( SY81 @ SY82 ) )
| ! [SY83: $i] :
( ~ ( b @ SV30 @ SY83 )
| ( SY81 @ SY83 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(133,plain,
! [SV31: $i] :
( ( ! [SY84: $i > $o] :
( ~ ! [SY85: $i] :
( ~ ( fool @ SV31 @ SY85 )
| ( SY84 @ SY85 ) )
| ( SY84 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(134,plain,
! [SV32: $i] :
( ( ! [SY86: $i > $o] :
( ~ ! [SY87: $i] :
( ~ ( fool @ SV32 @ SY87 )
| ( SY86 @ SY87 ) )
| ! [SY88: $i] :
( ~ ( fool @ SV32 @ SY88 )
| ! [SX3: $i] :
( ~ ( fool @ SY88 @ SX3 )
| ( SY86 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(135,plain,
! [SV33: $i,SV1: $i] :
( ( ~ ( fool @ SV1 @ SV33 )
| ~ ~ ( ws @ a @ SV33 )
| ! [SY90: $i] :
( ~ ( b @ SV33 @ SY90 )
| ~ ( ws @ a @ SY90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(136,plain,
! [SV2: $i] :
( ( ! [SY2: $i] :
( ~ ( a @ SV2 @ SY2 )
| ( ws @ a @ SY2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(137,plain,
! [SV34: $i,SV3: $i] :
( ( ~ ( fool @ SV3 @ SV34 )
| ~ ( ws @ b @ SV34 )
| ! [SY91: $i] :
( ~ ( a @ SV34 @ SY91 )
| ( ws @ b @ SY91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(138,plain,
! [SV35: $i,SV4: $i] :
( ( ~ ( fool @ SV4 @ SV35 )
| ~ ~ ( ws @ b @ SV35 )
| ! [SY92: $i] :
( ~ ( c @ SV35 @ SY92 )
| ~ ( ws @ b @ SY92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(139,plain,
! [SV36: $i,SV5: $i] :
( ( ~ ( fool @ SV5 @ SV36 )
| ~ ( ws @ c @ SV36 )
| ! [SY93: $i] :
( ~ ( b @ SV36 @ SY93 )
| ( ws @ c @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(140,plain,
! [SV37: $i,SV6: $i] :
( ( ~ ( fool @ SV6 @ SV37 )
| ~ ( ws @ c @ SV37 )
| ! [SY94: $i] :
( ~ ( a @ SV37 @ SY94 )
| ( ws @ c @ SY94 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(141,plain,
! [SV38: $i > $o,SV7: $i] :
( ( ~ ~ ! [SY95: $i] :
( ~ ( c @ SV7 @ SY95 )
| ( SV38 @ SY95 ) )
| ! [SY96: $i] :
( ~ ( a @ SV7 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( c @ SY96 @ SY97 )
| ( SV38 @ SY97 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(142,plain,
! [SV39: $i,SV8: $i] :
( ( ~ ( fool @ SV8 @ SV39 )
| ~ ( ws @ a @ SV39 )
| ! [SY98: $i] :
( ~ ( b @ SV39 @ SY98 )
| ( ws @ a @ SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(143,plain,
! [SV40: $i,SV9: $i] :
( ( ~ ( fool @ SV9 @ SV40 )
| ~ ~ ( ws @ a @ SV40 )
| ! [SY99: $i] :
( ~ ( c @ SV40 @ SY99 )
| ~ ( ws @ a @ SY99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(144,plain,
! [SV41: $i,SV10: $i] :
( ( ~ ( fool @ SV10 @ SV41 )
| ~ ~ ( ws @ c @ SV41 )
| ! [SY100: $i] :
( ~ ( a @ SV41 @ SY100 )
| ~ ( ws @ c @ SY100 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(145,plain,
! [SV42: $i > $o,SV11: $i] :
( ( ~ ~ ! [SY101: $i] :
( ~ ( c @ SV11 @ SY101 )
| ( SV42 @ SY101 ) )
| ! [SY102: $i] :
( ~ ( b @ SV11 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( c @ SY102 @ SY103 )
| ( SV42 @ SY103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(146,plain,
! [SV43: $i > $o,SV12: $i] :
( ( ~ ! [SY104: $i] :
( ~ ( fool @ SV12 @ SY104 )
| ( SV43 @ SY104 ) )
| ! [SY105: $i] :
( ~ ( c @ SV12 @ SY105 )
| ( SV43 @ SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(147,plain,
! [SV44: $i,SV13: $i] :
( ( ~ ( fool @ SV13 @ SV44 )
| ~ ~ ( ws @ c @ SV44 )
| ! [SY106: $i] :
( ~ ( b @ SV44 @ SY106 )
| ~ ( ws @ c @ SY106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(148,plain,
! [SV45: $i > $o,SV14: $i] :
( ( ~ ! [SY107: $i] :
( ~ ( c @ SV14 @ SY107 )
| ( SV45 @ SY107 ) )
| ! [SY108: $i] :
( ~ ( a @ SV14 @ SY108 )
| ! [SY109: $i] :
( ~ ( c @ SY108 @ SY109 )
| ( SV45 @ SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(149,plain,
! [SV46: $i > $o,SV15: $i] :
( ( ~ ~ ! [SY110: $i] :
( ~ ( a @ SV15 @ SY110 )
| ( SV46 @ SY110 ) )
| ! [SY111: $i] :
( ~ ( c @ SV15 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ( a @ SY111 @ SY112 )
| ( SV46 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(150,plain,
! [SV47: $i,SV16: $i] :
( ( ~ ( fool @ SV16 @ SV47 )
| ~ ( ws @ a @ SV47 )
| ! [SY113: $i] :
( ~ ( c @ SV47 @ SY113 )
| ( ws @ a @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(151,plain,
! [SV48: $i > $o,SV17: $i] :
( ( ~ ! [SY114: $i] :
( ~ ( c @ SV17 @ SY114 )
| ( SV48 @ SY114 ) )
| ! [SY115: $i] :
( ~ ( b @ SV17 @ SY115 )
| ! [SY116: $i] :
( ~ ( c @ SY115 @ SY116 )
| ( SV48 @ SY116 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(152,plain,
! [SV49: $i > $o,SV18: $i] :
( ( ~ ~ ! [SY117: $i] :
( ~ ( a @ SV18 @ SY117 )
| ( SV49 @ SY117 ) )
| ! [SY118: $i] :
( ~ ( b @ SV18 @ SY118 )
| ~ ! [SY119: $i] :
( ~ ( a @ SY118 @ SY119 )
| ( SV49 @ SY119 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(153,plain,
! [SV50: $i > $o,SV19: $i] :
( ( ~ ! [SY120: $i] :
( ~ ( a @ SV19 @ SY120 )
| ( SV50 @ SY120 ) )
| ! [SY121: $i] :
( ~ ( c @ SV19 @ SY121 )
| ! [SY122: $i] :
( ~ ( a @ SY121 @ SY122 )
| ( SV50 @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(154,plain,
! [SV20: $i] :
( ( ! [SY52: $i] :
( ~ ( b @ SV20 @ SY52 )
| ( ws @ b @ SY52 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(155,plain,
! [SV51: $i,SV21: $i] :
( ( ~ ( fool @ SV21 @ SV51 )
| ~ ( ws @ b @ SV51 )
| ! [SY123: $i] :
( ~ ( c @ SV51 @ SY123 )
| ( ws @ b @ SY123 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(156,plain,
! [SV52: $i > $o,SV22: $i] :
( ( ~ ! [SY124: $i] :
( ~ ( fool @ SV22 @ SY124 )
| ( SV52 @ SY124 ) )
| ! [SY125: $i] :
( ~ ( a @ SV22 @ SY125 )
| ( SV52 @ SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(157,plain,
! [SV53: $i > $o,SV23: $i] :
( ( ~ ~ ! [SY126: $i] :
( ~ ( b @ SV23 @ SY126 )
| ( SV53 @ SY126 ) )
| ! [SY127: $i] :
( ~ ( c @ SV23 @ SY127 )
| ~ ! [SY128: $i] :
( ~ ( b @ SY127 @ SY128 )
| ( SV53 @ SY128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(158,plain,
! [SV54: $i > $o,SV24: $i] :
( ( ~ ! [SY129: $i] :
( ~ ( b @ SV24 @ SY129 )
| ( SV54 @ SY129 ) )
| ! [SY130: $i] :
( ~ ( c @ SV24 @ SY130 )
| ! [SY131: $i] :
( ~ ( b @ SY130 @ SY131 )
| ( SV54 @ SY131 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(159,plain,
( ( ! [SY132: $i] :
( ~ ( c @ sK1_SX0 @ SY132 )
| ( ws @ c @ SY132 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(160,plain,
! [SV55: $i,SV25: $i] :
( ( ~ ( fool @ SV25 @ SV55 )
| ( ws @ a @ SV55 )
| ( ws @ b @ SV55 )
| ( ws @ c @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(161,plain,
! [SV56: $i > $o,SV26: $i] :
( ( ~ ! [SY133: $i] :
( ~ ( a @ SV26 @ SY133 )
| ( SV56 @ SY133 ) )
| ! [SY134: $i] :
( ~ ( b @ SV26 @ SY134 )
| ! [SY135: $i] :
( ~ ( a @ SY134 @ SY135 )
| ( SV56 @ SY135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(162,plain,
! [SV57: $i,SV27: $i] :
( ( ~ ( fool @ SV27 @ SV57 )
| ~ ~ ( ws @ b @ SV57 )
| ! [SY136: $i] :
( ~ ( a @ SV57 @ SY136 )
| ~ ( ws @ b @ SY136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(163,plain,
! [SV58: $i > $o,SV28: $i] :
( ( ~ ! [SY137: $i] :
( ~ ( b @ SV28 @ SY137 )
| ( SV58 @ SY137 ) )
| ! [SY138: $i] :
( ~ ( a @ SV28 @ SY138 )
| ! [SY139: $i] :
( ~ ( b @ SY138 @ SY139 )
| ( SV58 @ SY139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(164,plain,
! [SV59: $i > $o,SV29: $i] :
( ( ~ ~ ! [SY140: $i] :
( ~ ( b @ SV29 @ SY140 )
| ( SV59 @ SY140 ) )
| ! [SY141: $i] :
( ~ ( a @ SV29 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( b @ SY141 @ SY142 )
| ( SV59 @ SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(165,plain,
! [SV60: $i > $o,SV30: $i] :
( ( ~ ! [SY143: $i] :
( ~ ( fool @ SV30 @ SY143 )
| ( SV60 @ SY143 ) )
| ! [SY144: $i] :
( ~ ( b @ SV30 @ SY144 )
| ( SV60 @ SY144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(166,plain,
! [SV61: $i > $o,SV31: $i] :
( ( ~ ! [SY145: $i] :
( ~ ( fool @ SV31 @ SY145 )
| ( SV61 @ SY145 ) )
| ( SV61 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(167,plain,
! [SV62: $i > $o,SV32: $i] :
( ( ~ ! [SY146: $i] :
( ~ ( fool @ SV32 @ SY146 )
| ( SV62 @ SY146 ) )
| ! [SY147: $i] :
( ~ ( fool @ SV32 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV62 @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(168,plain,
! [SV33: $i,SV1: $i] :
( ( ( ~ ( fool @ SV1 @ SV33 ) )
= $true )
| ( ( ~ ~ ( ws @ a @ SV33 )
| ! [SY90: $i] :
( ~ ( b @ SV33 @ SY90 )
| ~ ( ws @ a @ SY90 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(169,plain,
! [SV2: $i] :
( ( ~ ( a @ SV2 @ ( sK2_SY2 @ SV2 ) )
| ( ws @ a @ ( sK2_SY2 @ SV2 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[136]) ).
thf(170,plain,
! [SV34: $i,SV3: $i] :
( ( ( ~ ( fool @ SV3 @ SV34 ) )
= $true )
| ( ( ~ ( ws @ b @ SV34 )
| ! [SY91: $i] :
( ~ ( a @ SV34 @ SY91 )
| ( ws @ b @ SY91 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(171,plain,
! [SV35: $i,SV4: $i] :
( ( ( ~ ( fool @ SV4 @ SV35 ) )
= $true )
| ( ( ~ ~ ( ws @ b @ SV35 )
| ! [SY92: $i] :
( ~ ( c @ SV35 @ SY92 )
| ~ ( ws @ b @ SY92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(172,plain,
! [SV36: $i,SV5: $i] :
( ( ( ~ ( fool @ SV5 @ SV36 ) )
= $true )
| ( ( ~ ( ws @ c @ SV36 )
| ! [SY93: $i] :
( ~ ( b @ SV36 @ SY93 )
| ( ws @ c @ SY93 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(173,plain,
! [SV37: $i,SV6: $i] :
( ( ( ~ ( fool @ SV6 @ SV37 ) )
= $true )
| ( ( ~ ( ws @ c @ SV37 )
| ! [SY94: $i] :
( ~ ( a @ SV37 @ SY94 )
| ( ws @ c @ SY94 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(174,plain,
! [SV38: $i > $o,SV7: $i] :
( ( ( ~ ~ ! [SY95: $i] :
( ~ ( c @ SV7 @ SY95 )
| ( SV38 @ SY95 ) ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( a @ SV7 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( c @ SY96 @ SY97 )
| ( SV38 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[141]) ).
thf(175,plain,
! [SV39: $i,SV8: $i] :
( ( ( ~ ( fool @ SV8 @ SV39 ) )
= $true )
| ( ( ~ ( ws @ a @ SV39 )
| ! [SY98: $i] :
( ~ ( b @ SV39 @ SY98 )
| ( ws @ a @ SY98 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(176,plain,
! [SV40: $i,SV9: $i] :
( ( ( ~ ( fool @ SV9 @ SV40 ) )
= $true )
| ( ( ~ ~ ( ws @ a @ SV40 )
| ! [SY99: $i] :
( ~ ( c @ SV40 @ SY99 )
| ~ ( ws @ a @ SY99 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(177,plain,
! [SV41: $i,SV10: $i] :
( ( ( ~ ( fool @ SV10 @ SV41 ) )
= $true )
| ( ( ~ ~ ( ws @ c @ SV41 )
| ! [SY100: $i] :
( ~ ( a @ SV41 @ SY100 )
| ~ ( ws @ c @ SY100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(178,plain,
! [SV42: $i > $o,SV11: $i] :
( ( ( ~ ~ ! [SY101: $i] :
( ~ ( c @ SV11 @ SY101 )
| ( SV42 @ SY101 ) ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV11 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( c @ SY102 @ SY103 )
| ( SV42 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(179,plain,
! [SV43: $i > $o,SV12: $i] :
( ( ( ~ ! [SY104: $i] :
( ~ ( fool @ SV12 @ SY104 )
| ( SV43 @ SY104 ) ) )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( c @ SV12 @ SY105 )
| ( SV43 @ SY105 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(180,plain,
! [SV44: $i,SV13: $i] :
( ( ( ~ ( fool @ SV13 @ SV44 ) )
= $true )
| ( ( ~ ~ ( ws @ c @ SV44 )
| ! [SY106: $i] :
( ~ ( b @ SV44 @ SY106 )
| ~ ( ws @ c @ SY106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(181,plain,
! [SV45: $i > $o,SV14: $i] :
( ( ( ~ ! [SY107: $i] :
( ~ ( c @ SV14 @ SY107 )
| ( SV45 @ SY107 ) ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( a @ SV14 @ SY108 )
| ! [SY109: $i] :
( ~ ( c @ SY108 @ SY109 )
| ( SV45 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[148]) ).
thf(182,plain,
! [SV46: $i > $o,SV15: $i] :
( ( ( ~ ~ ! [SY110: $i] :
( ~ ( a @ SV15 @ SY110 )
| ( SV46 @ SY110 ) ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( c @ SV15 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ( a @ SY111 @ SY112 )
| ( SV46 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(183,plain,
! [SV47: $i,SV16: $i] :
( ( ( ~ ( fool @ SV16 @ SV47 ) )
= $true )
| ( ( ~ ( ws @ a @ SV47 )
| ! [SY113: $i] :
( ~ ( c @ SV47 @ SY113 )
| ( ws @ a @ SY113 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(184,plain,
! [SV48: $i > $o,SV17: $i] :
( ( ( ~ ! [SY114: $i] :
( ~ ( c @ SV17 @ SY114 )
| ( SV48 @ SY114 ) ) )
= $true )
| ( ( ! [SY115: $i] :
( ~ ( b @ SV17 @ SY115 )
| ! [SY116: $i] :
( ~ ( c @ SY115 @ SY116 )
| ( SV48 @ SY116 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(185,plain,
! [SV49: $i > $o,SV18: $i] :
( ( ( ~ ~ ! [SY117: $i] :
( ~ ( a @ SV18 @ SY117 )
| ( SV49 @ SY117 ) ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( b @ SV18 @ SY118 )
| ~ ! [SY119: $i] :
( ~ ( a @ SY118 @ SY119 )
| ( SV49 @ SY119 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(186,plain,
! [SV50: $i > $o,SV19: $i] :
( ( ( ~ ! [SY120: $i] :
( ~ ( a @ SV19 @ SY120 )
| ( SV50 @ SY120 ) ) )
= $true )
| ( ( ! [SY121: $i] :
( ~ ( c @ SV19 @ SY121 )
| ! [SY122: $i] :
( ~ ( a @ SY121 @ SY122 )
| ( SV50 @ SY122 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(187,plain,
! [SV20: $i] :
( ( ~ ( b @ SV20 @ ( sK3_SY52 @ SV20 ) )
| ( ws @ b @ ( sK3_SY52 @ SV20 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[154]) ).
thf(188,plain,
! [SV51: $i,SV21: $i] :
( ( ( ~ ( fool @ SV21 @ SV51 ) )
= $true )
| ( ( ~ ( ws @ b @ SV51 )
| ! [SY123: $i] :
( ~ ( c @ SV51 @ SY123 )
| ( ws @ b @ SY123 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(189,plain,
! [SV52: $i > $o,SV22: $i] :
( ( ( ~ ! [SY124: $i] :
( ~ ( fool @ SV22 @ SY124 )
| ( SV52 @ SY124 ) ) )
= $true )
| ( ( ! [SY125: $i] :
( ~ ( a @ SV22 @ SY125 )
| ( SV52 @ SY125 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(190,plain,
! [SV53: $i > $o,SV23: $i] :
( ( ( ~ ~ ! [SY126: $i] :
( ~ ( b @ SV23 @ SY126 )
| ( SV53 @ SY126 ) ) )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( c @ SV23 @ SY127 )
| ~ ! [SY128: $i] :
( ~ ( b @ SY127 @ SY128 )
| ( SV53 @ SY128 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(191,plain,
! [SV54: $i > $o,SV24: $i] :
( ( ( ~ ! [SY129: $i] :
( ~ ( b @ SV24 @ SY129 )
| ( SV54 @ SY129 ) ) )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( c @ SV24 @ SY130 )
| ! [SY131: $i] :
( ~ ( b @ SY130 @ SY131 )
| ( SV54 @ SY131 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(192,plain,
( ( ~ ( c @ sK1_SX0 @ sK4_SY132 )
| ( ws @ c @ sK4_SY132 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[159]) ).
thf(193,plain,
! [SV55: $i,SV25: $i] :
( ( ( ~ ( fool @ SV25 @ SV55 ) )
= $true )
| ( ( ( ws @ a @ SV55 )
| ( ws @ b @ SV55 )
| ( ws @ c @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(194,plain,
! [SV56: $i > $o,SV26: $i] :
( ( ( ~ ! [SY133: $i] :
( ~ ( a @ SV26 @ SY133 )
| ( SV56 @ SY133 ) ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( b @ SV26 @ SY134 )
| ! [SY135: $i] :
( ~ ( a @ SY134 @ SY135 )
| ( SV56 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(195,plain,
! [SV57: $i,SV27: $i] :
( ( ( ~ ( fool @ SV27 @ SV57 ) )
= $true )
| ( ( ~ ~ ( ws @ b @ SV57 )
| ! [SY136: $i] :
( ~ ( a @ SV57 @ SY136 )
| ~ ( ws @ b @ SY136 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[162]) ).
thf(196,plain,
! [SV58: $i > $o,SV28: $i] :
( ( ( ~ ! [SY137: $i] :
( ~ ( b @ SV28 @ SY137 )
| ( SV58 @ SY137 ) ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( a @ SV28 @ SY138 )
| ! [SY139: $i] :
( ~ ( b @ SY138 @ SY139 )
| ( SV58 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(197,plain,
! [SV59: $i > $o,SV29: $i] :
( ( ( ~ ~ ! [SY140: $i] :
( ~ ( b @ SV29 @ SY140 )
| ( SV59 @ SY140 ) ) )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV29 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( b @ SY141 @ SY142 )
| ( SV59 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(198,plain,
! [SV60: $i > $o,SV30: $i] :
( ( ( ~ ! [SY143: $i] :
( ~ ( fool @ SV30 @ SY143 )
| ( SV60 @ SY143 ) ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( b @ SV30 @ SY144 )
| ( SV60 @ SY144 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(199,plain,
! [SV61: $i > $o,SV31: $i] :
( ( ( ~ ! [SY145: $i] :
( ~ ( fool @ SV31 @ SY145 )
| ( SV61 @ SY145 ) ) )
= $true )
| ( ( SV61 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[166]) ).
thf(200,plain,
! [SV62: $i > $o,SV32: $i] :
( ( ( ~ ! [SY146: $i] :
( ~ ( fool @ SV32 @ SY146 )
| ( SV62 @ SY146 ) ) )
= $true )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV32 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV62 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(201,plain,
! [SV33: $i,SV1: $i] :
( ( ( fool @ SV1 @ SV33 )
= $false )
| ( ( ~ ~ ( ws @ a @ SV33 )
| ! [SY90: $i] :
( ~ ( b @ SV33 @ SY90 )
| ~ ( ws @ a @ SY90 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(202,plain,
! [SV2: $i] :
( ( ~ ( a @ SV2 @ ( sK2_SY2 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(203,plain,
! [SV2: $i] :
( ( ws @ a @ ( sK2_SY2 @ SV2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(204,plain,
! [SV34: $i,SV3: $i] :
( ( ( fool @ SV3 @ SV34 )
= $false )
| ( ( ~ ( ws @ b @ SV34 )
| ! [SY91: $i] :
( ~ ( a @ SV34 @ SY91 )
| ( ws @ b @ SY91 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(205,plain,
! [SV35: $i,SV4: $i] :
( ( ( fool @ SV4 @ SV35 )
= $false )
| ( ( ~ ~ ( ws @ b @ SV35 )
| ! [SY92: $i] :
( ~ ( c @ SV35 @ SY92 )
| ~ ( ws @ b @ SY92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(206,plain,
! [SV36: $i,SV5: $i] :
( ( ( fool @ SV5 @ SV36 )
= $false )
| ( ( ~ ( ws @ c @ SV36 )
| ! [SY93: $i] :
( ~ ( b @ SV36 @ SY93 )
| ( ws @ c @ SY93 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(207,plain,
! [SV37: $i,SV6: $i] :
( ( ( fool @ SV6 @ SV37 )
= $false )
| ( ( ~ ( ws @ c @ SV37 )
| ! [SY94: $i] :
( ~ ( a @ SV37 @ SY94 )
| ( ws @ c @ SY94 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(208,plain,
! [SV38: $i > $o,SV7: $i] :
( ( ( ~ ! [SY95: $i] :
( ~ ( c @ SV7 @ SY95 )
| ( SV38 @ SY95 ) ) )
= $false )
| ( ( ! [SY96: $i] :
( ~ ( a @ SV7 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( c @ SY96 @ SY97 )
| ( SV38 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(209,plain,
! [SV39: $i,SV8: $i] :
( ( ( fool @ SV8 @ SV39 )
= $false )
| ( ( ~ ( ws @ a @ SV39 )
| ! [SY98: $i] :
( ~ ( b @ SV39 @ SY98 )
| ( ws @ a @ SY98 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(210,plain,
! [SV40: $i,SV9: $i] :
( ( ( fool @ SV9 @ SV40 )
= $false )
| ( ( ~ ~ ( ws @ a @ SV40 )
| ! [SY99: $i] :
( ~ ( c @ SV40 @ SY99 )
| ~ ( ws @ a @ SY99 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(211,plain,
! [SV41: $i,SV10: $i] :
( ( ( fool @ SV10 @ SV41 )
= $false )
| ( ( ~ ~ ( ws @ c @ SV41 )
| ! [SY100: $i] :
( ~ ( a @ SV41 @ SY100 )
| ~ ( ws @ c @ SY100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(212,plain,
! [SV42: $i > $o,SV11: $i] :
( ( ( ~ ! [SY101: $i] :
( ~ ( c @ SV11 @ SY101 )
| ( SV42 @ SY101 ) ) )
= $false )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV11 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( c @ SY102 @ SY103 )
| ( SV42 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(213,plain,
! [SV43: $i > $o,SV12: $i] :
( ( ( ! [SY104: $i] :
( ~ ( fool @ SV12 @ SY104 )
| ( SV43 @ SY104 ) ) )
= $false )
| ( ( ! [SY105: $i] :
( ~ ( c @ SV12 @ SY105 )
| ( SV43 @ SY105 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(214,plain,
! [SV44: $i,SV13: $i] :
( ( ( fool @ SV13 @ SV44 )
= $false )
| ( ( ~ ~ ( ws @ c @ SV44 )
| ! [SY106: $i] :
( ~ ( b @ SV44 @ SY106 )
| ~ ( ws @ c @ SY106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(215,plain,
! [SV45: $i > $o,SV14: $i] :
( ( ( ! [SY107: $i] :
( ~ ( c @ SV14 @ SY107 )
| ( SV45 @ SY107 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( a @ SV14 @ SY108 )
| ! [SY109: $i] :
( ~ ( c @ SY108 @ SY109 )
| ( SV45 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(216,plain,
! [SV46: $i > $o,SV15: $i] :
( ( ( ~ ! [SY110: $i] :
( ~ ( a @ SV15 @ SY110 )
| ( SV46 @ SY110 ) ) )
= $false )
| ( ( ! [SY111: $i] :
( ~ ( c @ SV15 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ( a @ SY111 @ SY112 )
| ( SV46 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(217,plain,
! [SV47: $i,SV16: $i] :
( ( ( fool @ SV16 @ SV47 )
= $false )
| ( ( ~ ( ws @ a @ SV47 )
| ! [SY113: $i] :
( ~ ( c @ SV47 @ SY113 )
| ( ws @ a @ SY113 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(218,plain,
! [SV48: $i > $o,SV17: $i] :
( ( ( ! [SY114: $i] :
( ~ ( c @ SV17 @ SY114 )
| ( SV48 @ SY114 ) ) )
= $false )
| ( ( ! [SY115: $i] :
( ~ ( b @ SV17 @ SY115 )
| ! [SY116: $i] :
( ~ ( c @ SY115 @ SY116 )
| ( SV48 @ SY116 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(219,plain,
! [SV49: $i > $o,SV18: $i] :
( ( ( ~ ! [SY117: $i] :
( ~ ( a @ SV18 @ SY117 )
| ( SV49 @ SY117 ) ) )
= $false )
| ( ( ! [SY118: $i] :
( ~ ( b @ SV18 @ SY118 )
| ~ ! [SY119: $i] :
( ~ ( a @ SY118 @ SY119 )
| ( SV49 @ SY119 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(220,plain,
! [SV50: $i > $o,SV19: $i] :
( ( ( ! [SY120: $i] :
( ~ ( a @ SV19 @ SY120 )
| ( SV50 @ SY120 ) ) )
= $false )
| ( ( ! [SY121: $i] :
( ~ ( c @ SV19 @ SY121 )
| ! [SY122: $i] :
( ~ ( a @ SY121 @ SY122 )
| ( SV50 @ SY122 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(221,plain,
! [SV20: $i] :
( ( ~ ( b @ SV20 @ ( sK3_SY52 @ SV20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(222,plain,
! [SV20: $i] :
( ( ws @ b @ ( sK3_SY52 @ SV20 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[187]) ).
thf(223,plain,
! [SV51: $i,SV21: $i] :
( ( ( fool @ SV21 @ SV51 )
= $false )
| ( ( ~ ( ws @ b @ SV51 )
| ! [SY123: $i] :
( ~ ( c @ SV51 @ SY123 )
| ( ws @ b @ SY123 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(224,plain,
! [SV52: $i > $o,SV22: $i] :
( ( ( ! [SY124: $i] :
( ~ ( fool @ SV22 @ SY124 )
| ( SV52 @ SY124 ) ) )
= $false )
| ( ( ! [SY125: $i] :
( ~ ( a @ SV22 @ SY125 )
| ( SV52 @ SY125 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(225,plain,
! [SV53: $i > $o,SV23: $i] :
( ( ( ~ ! [SY126: $i] :
( ~ ( b @ SV23 @ SY126 )
| ( SV53 @ SY126 ) ) )
= $false )
| ( ( ! [SY127: $i] :
( ~ ( c @ SV23 @ SY127 )
| ~ ! [SY128: $i] :
( ~ ( b @ SY127 @ SY128 )
| ( SV53 @ SY128 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(226,plain,
! [SV54: $i > $o,SV24: $i] :
( ( ( ! [SY129: $i] :
( ~ ( b @ SV24 @ SY129 )
| ( SV54 @ SY129 ) ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( c @ SV24 @ SY130 )
| ! [SY131: $i] :
( ~ ( b @ SY130 @ SY131 )
| ( SV54 @ SY131 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(227,plain,
( ( ~ ( c @ sK1_SX0 @ sK4_SY132 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(228,plain,
( ( ws @ c @ sK4_SY132 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(229,plain,
! [SV55: $i,SV25: $i] :
( ( ( fool @ SV25 @ SV55 )
= $false )
| ( ( ( ws @ a @ SV55 )
| ( ws @ b @ SV55 )
| ( ws @ c @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(230,plain,
! [SV56: $i > $o,SV26: $i] :
( ( ( ! [SY133: $i] :
( ~ ( a @ SV26 @ SY133 )
| ( SV56 @ SY133 ) ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( b @ SV26 @ SY134 )
| ! [SY135: $i] :
( ~ ( a @ SY134 @ SY135 )
| ( SV56 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(231,plain,
! [SV57: $i,SV27: $i] :
( ( ( fool @ SV27 @ SV57 )
= $false )
| ( ( ~ ~ ( ws @ b @ SV57 )
| ! [SY136: $i] :
( ~ ( a @ SV57 @ SY136 )
| ~ ( ws @ b @ SY136 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(232,plain,
! [SV58: $i > $o,SV28: $i] :
( ( ( ! [SY137: $i] :
( ~ ( b @ SV28 @ SY137 )
| ( SV58 @ SY137 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( a @ SV28 @ SY138 )
| ! [SY139: $i] :
( ~ ( b @ SY138 @ SY139 )
| ( SV58 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(233,plain,
! [SV59: $i > $o,SV29: $i] :
( ( ( ~ ! [SY140: $i] :
( ~ ( b @ SV29 @ SY140 )
| ( SV59 @ SY140 ) ) )
= $false )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV29 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( b @ SY141 @ SY142 )
| ( SV59 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(234,plain,
! [SV60: $i > $o,SV30: $i] :
( ( ( ! [SY143: $i] :
( ~ ( fool @ SV30 @ SY143 )
| ( SV60 @ SY143 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( b @ SV30 @ SY144 )
| ( SV60 @ SY144 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(235,plain,
! [SV61: $i > $o,SV31: $i] :
( ( ( ! [SY145: $i] :
( ~ ( fool @ SV31 @ SY145 )
| ( SV61 @ SY145 ) ) )
= $false )
| ( ( SV61 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(236,plain,
! [SV62: $i > $o,SV32: $i] :
( ( ( ! [SY146: $i] :
( ~ ( fool @ SV32 @ SY146 )
| ( SV62 @ SY146 ) ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV32 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV62 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(237,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ~ ( ws @ a @ SV33 ) )
= $true )
| ( ( ! [SY90: $i] :
( ~ ( b @ SV33 @ SY90 )
| ~ ( ws @ a @ SY90 ) ) )
= $true )
| ( ( fool @ SV1 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(238,plain,
! [SV2: $i] :
( ( a @ SV2 @ ( sK2_SY2 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(239,plain,
! [SV3: $i,SV34: $i] :
( ( ( ~ ( ws @ b @ SV34 ) )
= $true )
| ( ( ! [SY91: $i] :
( ~ ( a @ SV34 @ SY91 )
| ( ws @ b @ SY91 ) ) )
= $true )
| ( ( fool @ SV3 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(240,plain,
! [SV4: $i,SV35: $i] :
( ( ( ~ ~ ( ws @ b @ SV35 ) )
= $true )
| ( ( ! [SY92: $i] :
( ~ ( c @ SV35 @ SY92 )
| ~ ( ws @ b @ SY92 ) ) )
= $true )
| ( ( fool @ SV4 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(241,plain,
! [SV5: $i,SV36: $i] :
( ( ( ~ ( ws @ c @ SV36 ) )
= $true )
| ( ( ! [SY93: $i] :
( ~ ( b @ SV36 @ SY93 )
| ( ws @ c @ SY93 ) ) )
= $true )
| ( ( fool @ SV5 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(242,plain,
! [SV6: $i,SV37: $i] :
( ( ( ~ ( ws @ c @ SV37 ) )
= $true )
| ( ( ! [SY94: $i] :
( ~ ( a @ SV37 @ SY94 )
| ( ws @ c @ SY94 ) ) )
= $true )
| ( ( fool @ SV6 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(243,plain,
! [SV38: $i > $o,SV7: $i] :
( ( ( ! [SY95: $i] :
( ~ ( c @ SV7 @ SY95 )
| ( SV38 @ SY95 ) ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( a @ SV7 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( c @ SY96 @ SY97 )
| ( SV38 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[208]) ).
thf(244,plain,
! [SV8: $i,SV39: $i] :
( ( ( ~ ( ws @ a @ SV39 ) )
= $true )
| ( ( ! [SY98: $i] :
( ~ ( b @ SV39 @ SY98 )
| ( ws @ a @ SY98 ) ) )
= $true )
| ( ( fool @ SV8 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(245,plain,
! [SV9: $i,SV40: $i] :
( ( ( ~ ~ ( ws @ a @ SV40 ) )
= $true )
| ( ( ! [SY99: $i] :
( ~ ( c @ SV40 @ SY99 )
| ~ ( ws @ a @ SY99 ) ) )
= $true )
| ( ( fool @ SV9 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(246,plain,
! [SV10: $i,SV41: $i] :
( ( ( ~ ~ ( ws @ c @ SV41 ) )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( a @ SV41 @ SY100 )
| ~ ( ws @ c @ SY100 ) ) )
= $true )
| ( ( fool @ SV10 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(247,plain,
! [SV42: $i > $o,SV11: $i] :
( ( ( ! [SY101: $i] :
( ~ ( c @ SV11 @ SY101 )
| ( SV42 @ SY101 ) ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV11 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( c @ SY102 @ SY103 )
| ( SV42 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(248,plain,
! [SV43: $i > $o,SV12: $i] :
( ( ( ~ ( fool @ SV12 @ ( sK5_SY104 @ SV43 @ SV12 ) )
| ( SV43 @ ( sK5_SY104 @ SV43 @ SV12 ) ) )
= $false )
| ( ( ! [SY105: $i] :
( ~ ( c @ SV12 @ SY105 )
| ( SV43 @ SY105 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[213]) ).
thf(249,plain,
! [SV13: $i,SV44: $i] :
( ( ( ~ ~ ( ws @ c @ SV44 ) )
= $true )
| ( ( ! [SY106: $i] :
( ~ ( b @ SV44 @ SY106 )
| ~ ( ws @ c @ SY106 ) ) )
= $true )
| ( ( fool @ SV13 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(250,plain,
! [SV45: $i > $o,SV14: $i] :
( ( ( ~ ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
| ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( a @ SV14 @ SY108 )
| ! [SY109: $i] :
( ~ ( c @ SY108 @ SY109 )
| ( SV45 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[215]) ).
thf(251,plain,
! [SV46: $i > $o,SV15: $i] :
( ( ( ! [SY110: $i] :
( ~ ( a @ SV15 @ SY110 )
| ( SV46 @ SY110 ) ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( c @ SV15 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ( a @ SY111 @ SY112 )
| ( SV46 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[216]) ).
thf(252,plain,
! [SV16: $i,SV47: $i] :
( ( ( ~ ( ws @ a @ SV47 ) )
= $true )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV47 @ SY113 )
| ( ws @ a @ SY113 ) ) )
= $true )
| ( ( fool @ SV16 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(253,plain,
! [SV48: $i > $o,SV17: $i] :
( ( ( ~ ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
| ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) ) )
= $false )
| ( ( ! [SY115: $i] :
( ~ ( b @ SV17 @ SY115 )
| ! [SY116: $i] :
( ~ ( c @ SY115 @ SY116 )
| ( SV48 @ SY116 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[218]) ).
thf(254,plain,
! [SV49: $i > $o,SV18: $i] :
( ( ( ! [SY117: $i] :
( ~ ( a @ SV18 @ SY117 )
| ( SV49 @ SY117 ) ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( b @ SV18 @ SY118 )
| ~ ! [SY119: $i] :
( ~ ( a @ SY118 @ SY119 )
| ( SV49 @ SY119 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(255,plain,
! [SV50: $i > $o,SV19: $i] :
( ( ( ~ ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
| ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) ) )
= $false )
| ( ( ! [SY121: $i] :
( ~ ( c @ SV19 @ SY121 )
| ! [SY122: $i] :
( ~ ( a @ SY121 @ SY122 )
| ( SV50 @ SY122 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[220]) ).
thf(256,plain,
! [SV20: $i] :
( ( b @ SV20 @ ( sK3_SY52 @ SV20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[221]) ).
thf(257,plain,
! [SV21: $i,SV51: $i] :
( ( ( ~ ( ws @ b @ SV51 ) )
= $true )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV51 @ SY123 )
| ( ws @ b @ SY123 ) ) )
= $true )
| ( ( fool @ SV21 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(258,plain,
! [SV52: $i > $o,SV22: $i] :
( ( ( ~ ( fool @ SV22 @ ( sK9_SY124 @ SV52 @ SV22 ) )
| ( SV52 @ ( sK9_SY124 @ SV52 @ SV22 ) ) )
= $false )
| ( ( ! [SY125: $i] :
( ~ ( a @ SV22 @ SY125 )
| ( SV52 @ SY125 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[224]) ).
thf(259,plain,
! [SV53: $i > $o,SV23: $i] :
( ( ( ! [SY126: $i] :
( ~ ( b @ SV23 @ SY126 )
| ( SV53 @ SY126 ) ) )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( c @ SV23 @ SY127 )
| ~ ! [SY128: $i] :
( ~ ( b @ SY127 @ SY128 )
| ( SV53 @ SY128 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[225]) ).
thf(260,plain,
! [SV54: $i > $o,SV24: $i] :
( ( ( ~ ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
| ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( c @ SV24 @ SY130 )
| ! [SY131: $i] :
( ~ ( b @ SY130 @ SY131 )
| ( SV54 @ SY131 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[226]) ).
thf(261,plain,
( ( c @ sK1_SX0 @ sK4_SY132 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(262,plain,
! [SV25: $i,SV55: $i] :
( ( ( ws @ a @ SV55 )
= $true )
| ( ( ( ws @ b @ SV55 )
| ( ws @ c @ SV55 ) )
= $true )
| ( ( fool @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(263,plain,
! [SV56: $i > $o,SV26: $i] :
( ( ( ~ ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
| ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( b @ SV26 @ SY134 )
| ! [SY135: $i] :
( ~ ( a @ SY134 @ SY135 )
| ( SV56 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[230]) ).
thf(264,plain,
! [SV27: $i,SV57: $i] :
( ( ( ~ ~ ( ws @ b @ SV57 ) )
= $true )
| ( ( ! [SY136: $i] :
( ~ ( a @ SV57 @ SY136 )
| ~ ( ws @ b @ SY136 ) ) )
= $true )
| ( ( fool @ SV27 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(265,plain,
! [SV58: $i > $o,SV28: $i] :
( ( ( ~ ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
| ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( a @ SV28 @ SY138 )
| ! [SY139: $i] :
( ~ ( b @ SY138 @ SY139 )
| ( SV58 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[232]) ).
thf(266,plain,
! [SV59: $i > $o,SV29: $i] :
( ( ( ! [SY140: $i] :
( ~ ( b @ SV29 @ SY140 )
| ( SV59 @ SY140 ) ) )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV29 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( b @ SY141 @ SY142 )
| ( SV59 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(267,plain,
! [SV60: $i > $o,SV30: $i] :
( ( ( ~ ( fool @ SV30 @ ( sK13_SY143 @ SV60 @ SV30 ) )
| ( SV60 @ ( sK13_SY143 @ SV60 @ SV30 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( b @ SV30 @ SY144 )
| ( SV60 @ SY144 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[234]) ).
thf(268,plain,
! [SV61: $i > $o,SV31: $i] :
( ( ( ~ ( fool @ SV31 @ ( sK14_SY145 @ SV61 @ SV31 ) )
| ( SV61 @ ( sK14_SY145 @ SV61 @ SV31 ) ) )
= $false )
| ( ( SV61 @ SV31 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[235]) ).
thf(269,plain,
! [SV62: $i > $o,SV32: $i] :
( ( ( ~ ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
| ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV32 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV62 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[236]) ).
thf(270,plain,
! [SV1: $i,SV33: $i] :
( ( ( ~ ( ws @ a @ SV33 ) )
= $false )
| ( ( ! [SY90: $i] :
( ~ ( b @ SV33 @ SY90 )
| ~ ( ws @ a @ SY90 ) ) )
= $true )
| ( ( fool @ SV1 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(271,plain,
! [SV3: $i,SV34: $i] :
( ( ( ws @ b @ SV34 )
= $false )
| ( ( ! [SY91: $i] :
( ~ ( a @ SV34 @ SY91 )
| ( ws @ b @ SY91 ) ) )
= $true )
| ( ( fool @ SV3 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(272,plain,
! [SV4: $i,SV35: $i] :
( ( ( ~ ( ws @ b @ SV35 ) )
= $false )
| ( ( ! [SY92: $i] :
( ~ ( c @ SV35 @ SY92 )
| ~ ( ws @ b @ SY92 ) ) )
= $true )
| ( ( fool @ SV4 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(273,plain,
! [SV5: $i,SV36: $i] :
( ( ( ws @ c @ SV36 )
= $false )
| ( ( ! [SY93: $i] :
( ~ ( b @ SV36 @ SY93 )
| ( ws @ c @ SY93 ) ) )
= $true )
| ( ( fool @ SV5 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(274,plain,
! [SV6: $i,SV37: $i] :
( ( ( ws @ c @ SV37 )
= $false )
| ( ( ! [SY94: $i] :
( ~ ( a @ SV37 @ SY94 )
| ( ws @ c @ SY94 ) ) )
= $true )
| ( ( fool @ SV6 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(275,plain,
! [SV38: $i > $o,SV63: $i,SV7: $i] :
( ( ( ~ ( c @ SV7 @ SV63 )
| ( SV38 @ SV63 ) )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( a @ SV7 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( c @ SY96 @ SY97 )
| ( SV38 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(276,plain,
! [SV8: $i,SV39: $i] :
( ( ( ws @ a @ SV39 )
= $false )
| ( ( ! [SY98: $i] :
( ~ ( b @ SV39 @ SY98 )
| ( ws @ a @ SY98 ) ) )
= $true )
| ( ( fool @ SV8 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(277,plain,
! [SV9: $i,SV40: $i] :
( ( ( ~ ( ws @ a @ SV40 ) )
= $false )
| ( ( ! [SY99: $i] :
( ~ ( c @ SV40 @ SY99 )
| ~ ( ws @ a @ SY99 ) ) )
= $true )
| ( ( fool @ SV9 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(278,plain,
! [SV10: $i,SV41: $i] :
( ( ( ~ ( ws @ c @ SV41 ) )
= $false )
| ( ( ! [SY100: $i] :
( ~ ( a @ SV41 @ SY100 )
| ~ ( ws @ c @ SY100 ) ) )
= $true )
| ( ( fool @ SV10 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(279,plain,
! [SV42: $i > $o,SV64: $i,SV11: $i] :
( ( ( ~ ( c @ SV11 @ SV64 )
| ( SV42 @ SV64 ) )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV11 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( c @ SY102 @ SY103 )
| ( SV42 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(280,plain,
! [SV43: $i > $o,SV12: $i] :
( ( ( ~ ( fool @ SV12 @ ( sK5_SY104 @ SV43 @ SV12 ) ) )
= $false )
| ( ( ! [SY105: $i] :
( ~ ( c @ SV12 @ SY105 )
| ( SV43 @ SY105 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(281,plain,
! [SV12: $i,SV43: $i > $o] :
( ( ( SV43 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $false )
| ( ( ! [SY105: $i] :
( ~ ( c @ SV12 @ SY105 )
| ( SV43 @ SY105 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(282,plain,
! [SV13: $i,SV44: $i] :
( ( ( ~ ( ws @ c @ SV44 ) )
= $false )
| ( ( ! [SY106: $i] :
( ~ ( b @ SV44 @ SY106 )
| ~ ( ws @ c @ SY106 ) ) )
= $true )
| ( ( fool @ SV13 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(283,plain,
! [SV45: $i > $o,SV14: $i] :
( ( ( ~ ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( a @ SV14 @ SY108 )
| ! [SY109: $i] :
( ~ ( c @ SY108 @ SY109 )
| ( SV45 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(284,plain,
! [SV14: $i,SV45: $i > $o] :
( ( ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $false )
| ( ( ! [SY108: $i] :
( ~ ( a @ SV14 @ SY108 )
| ! [SY109: $i] :
( ~ ( c @ SY108 @ SY109 )
| ( SV45 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(285,plain,
! [SV46: $i > $o,SV65: $i,SV15: $i] :
( ( ( ~ ( a @ SV15 @ SV65 )
| ( SV46 @ SV65 ) )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( c @ SV15 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ( a @ SY111 @ SY112 )
| ( SV46 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(286,plain,
! [SV16: $i,SV47: $i] :
( ( ( ws @ a @ SV47 )
= $false )
| ( ( ! [SY113: $i] :
( ~ ( c @ SV47 @ SY113 )
| ( ws @ a @ SY113 ) ) )
= $true )
| ( ( fool @ SV16 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(287,plain,
! [SV48: $i > $o,SV17: $i] :
( ( ( ~ ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) ) )
= $false )
| ( ( ! [SY115: $i] :
( ~ ( b @ SV17 @ SY115 )
| ! [SY116: $i] :
( ~ ( c @ SY115 @ SY116 )
| ( SV48 @ SY116 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(288,plain,
! [SV17: $i,SV48: $i > $o] :
( ( ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $false )
| ( ( ! [SY115: $i] :
( ~ ( b @ SV17 @ SY115 )
| ! [SY116: $i] :
( ~ ( c @ SY115 @ SY116 )
| ( SV48 @ SY116 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[253]) ).
thf(289,plain,
! [SV49: $i > $o,SV66: $i,SV18: $i] :
( ( ( ~ ( a @ SV18 @ SV66 )
| ( SV49 @ SV66 ) )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( b @ SV18 @ SY118 )
| ~ ! [SY119: $i] :
( ~ ( a @ SY118 @ SY119 )
| ( SV49 @ SY119 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(290,plain,
! [SV50: $i > $o,SV19: $i] :
( ( ( ~ ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) ) )
= $false )
| ( ( ! [SY121: $i] :
( ~ ( c @ SV19 @ SY121 )
| ! [SY122: $i] :
( ~ ( a @ SY121 @ SY122 )
| ( SV50 @ SY122 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(291,plain,
! [SV19: $i,SV50: $i > $o] :
( ( ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $false )
| ( ( ! [SY121: $i] :
( ~ ( c @ SV19 @ SY121 )
| ! [SY122: $i] :
( ~ ( a @ SY121 @ SY122 )
| ( SV50 @ SY122 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[255]) ).
thf(292,plain,
! [SV21: $i,SV51: $i] :
( ( ( ws @ b @ SV51 )
= $false )
| ( ( ! [SY123: $i] :
( ~ ( c @ SV51 @ SY123 )
| ( ws @ b @ SY123 ) ) )
= $true )
| ( ( fool @ SV21 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(293,plain,
! [SV52: $i > $o,SV22: $i] :
( ( ( ~ ( fool @ SV22 @ ( sK9_SY124 @ SV52 @ SV22 ) ) )
= $false )
| ( ( ! [SY125: $i] :
( ~ ( a @ SV22 @ SY125 )
| ( SV52 @ SY125 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(294,plain,
! [SV22: $i,SV52: $i > $o] :
( ( ( SV52 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $false )
| ( ( ! [SY125: $i] :
( ~ ( a @ SV22 @ SY125 )
| ( SV52 @ SY125 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[258]) ).
thf(295,plain,
! [SV53: $i > $o,SV67: $i,SV23: $i] :
( ( ( ~ ( b @ SV23 @ SV67 )
| ( SV53 @ SV67 ) )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( c @ SV23 @ SY127 )
| ~ ! [SY128: $i] :
( ~ ( b @ SY127 @ SY128 )
| ( SV53 @ SY128 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(296,plain,
! [SV54: $i > $o,SV24: $i] :
( ( ( ~ ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( c @ SV24 @ SY130 )
| ! [SY131: $i] :
( ~ ( b @ SY130 @ SY131 )
| ( SV54 @ SY131 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(297,plain,
! [SV24: $i,SV54: $i > $o] :
( ( ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $false )
| ( ( ! [SY130: $i] :
( ~ ( c @ SV24 @ SY130 )
| ! [SY131: $i] :
( ~ ( b @ SY130 @ SY131 )
| ( SV54 @ SY131 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(298,plain,
! [SV25: $i,SV55: $i] :
( ( ( ws @ b @ SV55 )
= $true )
| ( ( ws @ c @ SV55 )
= $true )
| ( ( ws @ a @ SV55 )
= $true )
| ( ( fool @ SV25 @ SV55 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(299,plain,
! [SV56: $i > $o,SV26: $i] :
( ( ( ~ ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( b @ SV26 @ SY134 )
| ! [SY135: $i] :
( ~ ( a @ SY134 @ SY135 )
| ( SV56 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(300,plain,
! [SV26: $i,SV56: $i > $o] :
( ( ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $false )
| ( ( ! [SY134: $i] :
( ~ ( b @ SV26 @ SY134 )
| ! [SY135: $i] :
( ~ ( a @ SY134 @ SY135 )
| ( SV56 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[263]) ).
thf(301,plain,
! [SV27: $i,SV57: $i] :
( ( ( ~ ( ws @ b @ SV57 ) )
= $false )
| ( ( ! [SY136: $i] :
( ~ ( a @ SV57 @ SY136 )
| ~ ( ws @ b @ SY136 ) ) )
= $true )
| ( ( fool @ SV27 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(302,plain,
! [SV58: $i > $o,SV28: $i] :
( ( ( ~ ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( a @ SV28 @ SY138 )
| ! [SY139: $i] :
( ~ ( b @ SY138 @ SY139 )
| ( SV58 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(303,plain,
! [SV28: $i,SV58: $i > $o] :
( ( ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $false )
| ( ( ! [SY138: $i] :
( ~ ( a @ SV28 @ SY138 )
| ! [SY139: $i] :
( ~ ( b @ SY138 @ SY139 )
| ( SV58 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(304,plain,
! [SV59: $i > $o,SV68: $i,SV29: $i] :
( ( ( ~ ( b @ SV29 @ SV68 )
| ( SV59 @ SV68 ) )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV29 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( b @ SY141 @ SY142 )
| ( SV59 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(305,plain,
! [SV60: $i > $o,SV30: $i] :
( ( ( ~ ( fool @ SV30 @ ( sK13_SY143 @ SV60 @ SV30 ) ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( b @ SV30 @ SY144 )
| ( SV60 @ SY144 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(306,plain,
! [SV30: $i,SV60: $i > $o] :
( ( ( SV60 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $false )
| ( ( ! [SY144: $i] :
( ~ ( b @ SV30 @ SY144 )
| ( SV60 @ SY144 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[267]) ).
thf(307,plain,
! [SV61: $i > $o,SV31: $i] :
( ( ( ~ ( fool @ SV31 @ ( sK14_SY145 @ SV61 @ SV31 ) ) )
= $false )
| ( ( SV61 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(308,plain,
! [SV31: $i,SV61: $i > $o] :
( ( ( SV61 @ ( sK14_SY145 @ SV61 @ SV31 ) )
= $false )
| ( ( SV61 @ SV31 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(309,plain,
! [SV62: $i > $o,SV32: $i] :
( ( ( ~ ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV32 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV62 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(310,plain,
! [SV32: $i,SV62: $i > $o] :
( ( ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $false )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV32 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV62 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(311,plain,
! [SV1: $i,SV33: $i] :
( ( ( ws @ a @ SV33 )
= $true )
| ( ( ! [SY90: $i] :
( ~ ( b @ SV33 @ SY90 )
| ~ ( ws @ a @ SY90 ) ) )
= $true )
| ( ( fool @ SV1 @ SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(312,plain,
! [SV3: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a @ SV34 @ SV69 )
| ( ws @ b @ SV69 ) )
= $true )
| ( ( ws @ b @ SV34 )
= $false )
| ( ( fool @ SV3 @ SV34 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(313,plain,
! [SV4: $i,SV35: $i] :
( ( ( ws @ b @ SV35 )
= $true )
| ( ( ! [SY92: $i] :
( ~ ( c @ SV35 @ SY92 )
| ~ ( ws @ b @ SY92 ) ) )
= $true )
| ( ( fool @ SV4 @ SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(314,plain,
! [SV5: $i,SV70: $i,SV36: $i] :
( ( ( ~ ( b @ SV36 @ SV70 )
| ( ws @ c @ SV70 ) )
= $true )
| ( ( ws @ c @ SV36 )
= $false )
| ( ( fool @ SV5 @ SV36 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(315,plain,
! [SV6: $i,SV71: $i,SV37: $i] :
( ( ( ~ ( a @ SV37 @ SV71 )
| ( ws @ c @ SV71 ) )
= $true )
| ( ( ws @ c @ SV37 )
= $false )
| ( ( fool @ SV6 @ SV37 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(316,plain,
! [SV38: $i > $o,SV63: $i,SV7: $i] :
( ( ( ~ ( c @ SV7 @ SV63 ) )
= $true )
| ( ( SV38 @ SV63 )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( a @ SV7 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( c @ SY96 @ SY97 )
| ( SV38 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(317,plain,
! [SV8: $i,SV72: $i,SV39: $i] :
( ( ( ~ ( b @ SV39 @ SV72 )
| ( ws @ a @ SV72 ) )
= $true )
| ( ( ws @ a @ SV39 )
= $false )
| ( ( fool @ SV8 @ SV39 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(318,plain,
! [SV9: $i,SV40: $i] :
( ( ( ws @ a @ SV40 )
= $true )
| ( ( ! [SY99: $i] :
( ~ ( c @ SV40 @ SY99 )
| ~ ( ws @ a @ SY99 ) ) )
= $true )
| ( ( fool @ SV9 @ SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(319,plain,
! [SV10: $i,SV41: $i] :
( ( ( ws @ c @ SV41 )
= $true )
| ( ( ! [SY100: $i] :
( ~ ( a @ SV41 @ SY100 )
| ~ ( ws @ c @ SY100 ) ) )
= $true )
| ( ( fool @ SV10 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(320,plain,
! [SV42: $i > $o,SV64: $i,SV11: $i] :
( ( ( ~ ( c @ SV11 @ SV64 ) )
= $true )
| ( ( SV42 @ SV64 )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV11 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( c @ SY102 @ SY103 )
| ( SV42 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(321,plain,
! [SV43: $i > $o,SV12: $i] :
( ( ( fool @ SV12 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $true )
| ( ( ! [SY105: $i] :
( ~ ( c @ SV12 @ SY105 )
| ( SV43 @ SY105 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(322,plain,
! [SV43: $i > $o,SV73: $i,SV12: $i] :
( ( ( ~ ( c @ SV12 @ SV73 )
| ( SV43 @ SV73 ) )
= $true )
| ( ( SV43 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(323,plain,
! [SV13: $i,SV44: $i] :
( ( ( ws @ c @ SV44 )
= $true )
| ( ( ! [SY106: $i] :
( ~ ( b @ SV44 @ SY106 )
| ~ ( ws @ c @ SY106 ) ) )
= $true )
| ( ( fool @ SV13 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(324,plain,
! [SV45: $i > $o,SV14: $i] :
( ( ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $true )
| ( ( ! [SY108: $i] :
( ~ ( a @ SV14 @ SY108 )
| ! [SY109: $i] :
( ~ ( c @ SY108 @ SY109 )
| ( SV45 @ SY109 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(325,plain,
! [SV45: $i > $o,SV74: $i,SV14: $i] :
( ( ( ~ ( a @ SV14 @ SV74 )
| ! [SY149: $i] :
( ~ ( c @ SV74 @ SY149 )
| ( SV45 @ SY149 ) ) )
= $true )
| ( ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(326,plain,
! [SV46: $i > $o,SV65: $i,SV15: $i] :
( ( ( ~ ( a @ SV15 @ SV65 ) )
= $true )
| ( ( SV46 @ SV65 )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( c @ SV15 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ( a @ SY111 @ SY112 )
| ( SV46 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(327,plain,
! [SV16: $i,SV75: $i,SV47: $i] :
( ( ( ~ ( c @ SV47 @ SV75 )
| ( ws @ a @ SV75 ) )
= $true )
| ( ( ws @ a @ SV47 )
= $false )
| ( ( fool @ SV16 @ SV47 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(328,plain,
! [SV48: $i > $o,SV17: $i] :
( ( ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $true )
| ( ( ! [SY115: $i] :
( ~ ( b @ SV17 @ SY115 )
| ! [SY116: $i] :
( ~ ( c @ SY115 @ SY116 )
| ( SV48 @ SY116 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(329,plain,
! [SV48: $i > $o,SV76: $i,SV17: $i] :
( ( ( ~ ( b @ SV17 @ SV76 )
| ! [SY150: $i] :
( ~ ( c @ SV76 @ SY150 )
| ( SV48 @ SY150 ) ) )
= $true )
| ( ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(330,plain,
! [SV49: $i > $o,SV66: $i,SV18: $i] :
( ( ( ~ ( a @ SV18 @ SV66 ) )
= $true )
| ( ( SV49 @ SV66 )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( b @ SV18 @ SY118 )
| ~ ! [SY119: $i] :
( ~ ( a @ SY118 @ SY119 )
| ( SV49 @ SY119 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(331,plain,
! [SV50: $i > $o,SV19: $i] :
( ( ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $true )
| ( ( ! [SY121: $i] :
( ~ ( c @ SV19 @ SY121 )
| ! [SY122: $i] :
( ~ ( a @ SY121 @ SY122 )
| ( SV50 @ SY122 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(332,plain,
! [SV50: $i > $o,SV77: $i,SV19: $i] :
( ( ( ~ ( c @ SV19 @ SV77 )
| ! [SY151: $i] :
( ~ ( a @ SV77 @ SY151 )
| ( SV50 @ SY151 ) ) )
= $true )
| ( ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(333,plain,
! [SV21: $i,SV78: $i,SV51: $i] :
( ( ( ~ ( c @ SV51 @ SV78 )
| ( ws @ b @ SV78 ) )
= $true )
| ( ( ws @ b @ SV51 )
= $false )
| ( ( fool @ SV21 @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(334,plain,
! [SV52: $i > $o,SV22: $i] :
( ( ( fool @ SV22 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $true )
| ( ( ! [SY125: $i] :
( ~ ( a @ SV22 @ SY125 )
| ( SV52 @ SY125 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(335,plain,
! [SV52: $i > $o,SV79: $i,SV22: $i] :
( ( ( ~ ( a @ SV22 @ SV79 )
| ( SV52 @ SV79 ) )
= $true )
| ( ( SV52 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(336,plain,
! [SV53: $i > $o,SV67: $i,SV23: $i] :
( ( ( ~ ( b @ SV23 @ SV67 ) )
= $true )
| ( ( SV53 @ SV67 )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( c @ SV23 @ SY127 )
| ~ ! [SY128: $i] :
( ~ ( b @ SY127 @ SY128 )
| ( SV53 @ SY128 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(337,plain,
! [SV54: $i > $o,SV24: $i] :
( ( ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $true )
| ( ( ! [SY130: $i] :
( ~ ( c @ SV24 @ SY130 )
| ! [SY131: $i] :
( ~ ( b @ SY130 @ SY131 )
| ( SV54 @ SY131 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(338,plain,
! [SV54: $i > $o,SV80: $i,SV24: $i] :
( ( ( ~ ( c @ SV24 @ SV80 )
| ! [SY152: $i] :
( ~ ( b @ SV80 @ SY152 )
| ( SV54 @ SY152 ) ) )
= $true )
| ( ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(339,plain,
! [SV56: $i > $o,SV26: $i] :
( ( ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $true )
| ( ( ! [SY134: $i] :
( ~ ( b @ SV26 @ SY134 )
| ! [SY135: $i] :
( ~ ( a @ SY134 @ SY135 )
| ( SV56 @ SY135 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(340,plain,
! [SV56: $i > $o,SV81: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV81 )
| ! [SY153: $i] :
( ~ ( a @ SV81 @ SY153 )
| ( SV56 @ SY153 ) ) )
= $true )
| ( ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(341,plain,
! [SV27: $i,SV57: $i] :
( ( ( ws @ b @ SV57 )
= $true )
| ( ( ! [SY136: $i] :
( ~ ( a @ SV57 @ SY136 )
| ~ ( ws @ b @ SY136 ) ) )
= $true )
| ( ( fool @ SV27 @ SV57 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(342,plain,
! [SV58: $i > $o,SV28: $i] :
( ( ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $true )
| ( ( ! [SY138: $i] :
( ~ ( a @ SV28 @ SY138 )
| ! [SY139: $i] :
( ~ ( b @ SY138 @ SY139 )
| ( SV58 @ SY139 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(343,plain,
! [SV58: $i > $o,SV82: $i,SV28: $i] :
( ( ( ~ ( a @ SV28 @ SV82 )
| ! [SY154: $i] :
( ~ ( b @ SV82 @ SY154 )
| ( SV58 @ SY154 ) ) )
= $true )
| ( ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(344,plain,
! [SV59: $i > $o,SV68: $i,SV29: $i] :
( ( ( ~ ( b @ SV29 @ SV68 ) )
= $true )
| ( ( SV59 @ SV68 )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV29 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( b @ SY141 @ SY142 )
| ( SV59 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(345,plain,
! [SV60: $i > $o,SV30: $i] :
( ( ( fool @ SV30 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $true )
| ( ( ! [SY144: $i] :
( ~ ( b @ SV30 @ SY144 )
| ( SV60 @ SY144 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[305]) ).
thf(346,plain,
! [SV60: $i > $o,SV83: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV83 )
| ( SV60 @ SV83 ) )
= $true )
| ( ( SV60 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(347,plain,
! [SV61: $i > $o,SV31: $i] :
( ( ( fool @ SV31 @ ( sK14_SY145 @ SV61 @ SV31 ) )
= $true )
| ( ( SV61 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(348,plain,
! [SV62: $i > $o,SV32: $i] :
( ( ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $true )
| ( ( ! [SY147: $i] :
( ~ ( fool @ SV32 @ SY147 )
| ! [SY148: $i] :
( ~ ( fool @ SY147 @ SY148 )
| ( SV62 @ SY148 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(349,plain,
! [SV62: $i > $o,SV84: $i,SV32: $i] :
( ( ( ~ ( fool @ SV32 @ SV84 )
| ! [SY155: $i] :
( ~ ( fool @ SV84 @ SY155 )
| ( SV62 @ SY155 ) ) )
= $true )
| ( ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(350,plain,
! [SV1: $i,SV85: $i,SV33: $i] :
( ( ( ~ ( b @ SV33 @ SV85 )
| ~ ( ws @ a @ SV85 ) )
= $true )
| ( ( ws @ a @ SV33 )
= $true )
| ( ( fool @ SV1 @ SV33 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(351,plain,
! [SV3: $i,SV69: $i,SV34: $i] :
( ( ( ~ ( a @ SV34 @ SV69 ) )
= $true )
| ( ( ws @ b @ SV69 )
= $true )
| ( ( ws @ b @ SV34 )
= $false )
| ( ( fool @ SV3 @ SV34 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[312]) ).
thf(352,plain,
! [SV4: $i,SV86: $i,SV35: $i] :
( ( ( ~ ( c @ SV35 @ SV86 )
| ~ ( ws @ b @ SV86 ) )
= $true )
| ( ( ws @ b @ SV35 )
= $true )
| ( ( fool @ SV4 @ SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(353,plain,
! [SV5: $i,SV70: $i,SV36: $i] :
( ( ( ~ ( b @ SV36 @ SV70 ) )
= $true )
| ( ( ws @ c @ SV70 )
= $true )
| ( ( ws @ c @ SV36 )
= $false )
| ( ( fool @ SV5 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(354,plain,
! [SV6: $i,SV71: $i,SV37: $i] :
( ( ( ~ ( a @ SV37 @ SV71 ) )
= $true )
| ( ( ws @ c @ SV71 )
= $true )
| ( ( ws @ c @ SV37 )
= $false )
| ( ( fool @ SV6 @ SV37 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[315]) ).
thf(355,plain,
! [SV38: $i > $o,SV63: $i,SV7: $i] :
( ( ( c @ SV7 @ SV63 )
= $false )
| ( ( SV38 @ SV63 )
= $true )
| ( ( ! [SY96: $i] :
( ~ ( a @ SV7 @ SY96 )
| ~ ! [SY97: $i] :
( ~ ( c @ SY96 @ SY97 )
| ( SV38 @ SY97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(356,plain,
! [SV8: $i,SV72: $i,SV39: $i] :
( ( ( ~ ( b @ SV39 @ SV72 ) )
= $true )
| ( ( ws @ a @ SV72 )
= $true )
| ( ( ws @ a @ SV39 )
= $false )
| ( ( fool @ SV8 @ SV39 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[317]) ).
thf(357,plain,
! [SV9: $i,SV87: $i,SV40: $i] :
( ( ( ~ ( c @ SV40 @ SV87 )
| ~ ( ws @ a @ SV87 ) )
= $true )
| ( ( ws @ a @ SV40 )
= $true )
| ( ( fool @ SV9 @ SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(358,plain,
! [SV10: $i,SV88: $i,SV41: $i] :
( ( ( ~ ( a @ SV41 @ SV88 )
| ~ ( ws @ c @ SV88 ) )
= $true )
| ( ( ws @ c @ SV41 )
= $true )
| ( ( fool @ SV10 @ SV41 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(359,plain,
! [SV42: $i > $o,SV64: $i,SV11: $i] :
( ( ( c @ SV11 @ SV64 )
= $false )
| ( ( SV42 @ SV64 )
= $true )
| ( ( ! [SY102: $i] :
( ~ ( b @ SV11 @ SY102 )
| ~ ! [SY103: $i] :
( ~ ( c @ SY102 @ SY103 )
| ( SV42 @ SY103 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(360,plain,
! [SV43: $i > $o,SV89: $i,SV12: $i] :
( ( ( ~ ( c @ SV12 @ SV89 )
| ( SV43 @ SV89 ) )
= $true )
| ( ( fool @ SV12 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(361,plain,
! [SV43: $i > $o,SV73: $i,SV12: $i] :
( ( ( ~ ( c @ SV12 @ SV73 ) )
= $true )
| ( ( SV43 @ SV73 )
= $true )
| ( ( SV43 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(362,plain,
! [SV13: $i,SV90: $i,SV44: $i] :
( ( ( ~ ( b @ SV44 @ SV90 )
| ~ ( ws @ c @ SV90 ) )
= $true )
| ( ( ws @ c @ SV44 )
= $true )
| ( ( fool @ SV13 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(363,plain,
! [SV45: $i > $o,SV91: $i,SV14: $i] :
( ( ( ~ ( a @ SV14 @ SV91 )
| ! [SY156: $i] :
( ~ ( c @ SV91 @ SY156 )
| ( SV45 @ SY156 ) ) )
= $true )
| ( ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(364,plain,
! [SV45: $i > $o,SV74: $i,SV14: $i] :
( ( ( ~ ( a @ SV14 @ SV74 ) )
= $true )
| ( ( ! [SY149: $i] :
( ~ ( c @ SV74 @ SY149 )
| ( SV45 @ SY149 ) ) )
= $true )
| ( ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[325]) ).
thf(365,plain,
! [SV46: $i > $o,SV65: $i,SV15: $i] :
( ( ( a @ SV15 @ SV65 )
= $false )
| ( ( SV46 @ SV65 )
= $true )
| ( ( ! [SY111: $i] :
( ~ ( c @ SV15 @ SY111 )
| ~ ! [SY112: $i] :
( ~ ( a @ SY111 @ SY112 )
| ( SV46 @ SY112 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(366,plain,
! [SV16: $i,SV75: $i,SV47: $i] :
( ( ( ~ ( c @ SV47 @ SV75 ) )
= $true )
| ( ( ws @ a @ SV75 )
= $true )
| ( ( ws @ a @ SV47 )
= $false )
| ( ( fool @ SV16 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(367,plain,
! [SV48: $i > $o,SV92: $i,SV17: $i] :
( ( ( ~ ( b @ SV17 @ SV92 )
| ! [SY157: $i] :
( ~ ( c @ SV92 @ SY157 )
| ( SV48 @ SY157 ) ) )
= $true )
| ( ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(368,plain,
! [SV48: $i > $o,SV76: $i,SV17: $i] :
( ( ( ~ ( b @ SV17 @ SV76 ) )
= $true )
| ( ( ! [SY150: $i] :
( ~ ( c @ SV76 @ SY150 )
| ( SV48 @ SY150 ) ) )
= $true )
| ( ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(369,plain,
! [SV49: $i > $o,SV66: $i,SV18: $i] :
( ( ( a @ SV18 @ SV66 )
= $false )
| ( ( SV49 @ SV66 )
= $true )
| ( ( ! [SY118: $i] :
( ~ ( b @ SV18 @ SY118 )
| ~ ! [SY119: $i] :
( ~ ( a @ SY118 @ SY119 )
| ( SV49 @ SY119 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(370,plain,
! [SV50: $i > $o,SV93: $i,SV19: $i] :
( ( ( ~ ( c @ SV19 @ SV93 )
| ! [SY158: $i] :
( ~ ( a @ SV93 @ SY158 )
| ( SV50 @ SY158 ) ) )
= $true )
| ( ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(371,plain,
! [SV50: $i > $o,SV77: $i,SV19: $i] :
( ( ( ~ ( c @ SV19 @ SV77 ) )
= $true )
| ( ( ! [SY151: $i] :
( ~ ( a @ SV77 @ SY151 )
| ( SV50 @ SY151 ) ) )
= $true )
| ( ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(372,plain,
! [SV21: $i,SV78: $i,SV51: $i] :
( ( ( ~ ( c @ SV51 @ SV78 ) )
= $true )
| ( ( ws @ b @ SV78 )
= $true )
| ( ( ws @ b @ SV51 )
= $false )
| ( ( fool @ SV21 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(373,plain,
! [SV52: $i > $o,SV94: $i,SV22: $i] :
( ( ( ~ ( a @ SV22 @ SV94 )
| ( SV52 @ SV94 ) )
= $true )
| ( ( fool @ SV22 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(374,plain,
! [SV52: $i > $o,SV79: $i,SV22: $i] :
( ( ( ~ ( a @ SV22 @ SV79 ) )
= $true )
| ( ( SV52 @ SV79 )
= $true )
| ( ( SV52 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(375,plain,
! [SV53: $i > $o,SV67: $i,SV23: $i] :
( ( ( b @ SV23 @ SV67 )
= $false )
| ( ( SV53 @ SV67 )
= $true )
| ( ( ! [SY127: $i] :
( ~ ( c @ SV23 @ SY127 )
| ~ ! [SY128: $i] :
( ~ ( b @ SY127 @ SY128 )
| ( SV53 @ SY128 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(376,plain,
! [SV54: $i > $o,SV95: $i,SV24: $i] :
( ( ( ~ ( c @ SV24 @ SV95 )
| ! [SY159: $i] :
( ~ ( b @ SV95 @ SY159 )
| ( SV54 @ SY159 ) ) )
= $true )
| ( ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(377,plain,
! [SV54: $i > $o,SV80: $i,SV24: $i] :
( ( ( ~ ( c @ SV24 @ SV80 ) )
= $true )
| ( ( ! [SY152: $i] :
( ~ ( b @ SV80 @ SY152 )
| ( SV54 @ SY152 ) ) )
= $true )
| ( ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(378,plain,
! [SV56: $i > $o,SV96: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV96 )
| ! [SY160: $i] :
( ~ ( a @ SV96 @ SY160 )
| ( SV56 @ SY160 ) ) )
= $true )
| ( ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(379,plain,
! [SV56: $i > $o,SV81: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV81 ) )
= $true )
| ( ( ! [SY153: $i] :
( ~ ( a @ SV81 @ SY153 )
| ( SV56 @ SY153 ) ) )
= $true )
| ( ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(380,plain,
! [SV27: $i,SV97: $i,SV57: $i] :
( ( ( ~ ( a @ SV57 @ SV97 )
| ~ ( ws @ b @ SV97 ) )
= $true )
| ( ( ws @ b @ SV57 )
= $true )
| ( ( fool @ SV27 @ SV57 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(381,plain,
! [SV58: $i > $o,SV98: $i,SV28: $i] :
( ( ( ~ ( a @ SV28 @ SV98 )
| ! [SY161: $i] :
( ~ ( b @ SV98 @ SY161 )
| ( SV58 @ SY161 ) ) )
= $true )
| ( ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(382,plain,
! [SV58: $i > $o,SV82: $i,SV28: $i] :
( ( ( ~ ( a @ SV28 @ SV82 ) )
= $true )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV82 @ SY154 )
| ( SV58 @ SY154 ) ) )
= $true )
| ( ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(383,plain,
! [SV59: $i > $o,SV68: $i,SV29: $i] :
( ( ( b @ SV29 @ SV68 )
= $false )
| ( ( SV59 @ SV68 )
= $true )
| ( ( ! [SY141: $i] :
( ~ ( a @ SV29 @ SY141 )
| ~ ! [SY142: $i] :
( ~ ( b @ SY141 @ SY142 )
| ( SV59 @ SY142 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(384,plain,
! [SV60: $i > $o,SV99: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV99 )
| ( SV60 @ SV99 ) )
= $true )
| ( ( fool @ SV30 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(385,plain,
! [SV60: $i > $o,SV83: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV83 ) )
= $true )
| ( ( SV60 @ SV83 )
= $true )
| ( ( SV60 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(386,plain,
! [SV62: $i > $o,SV100: $i,SV32: $i] :
( ( ( ~ ( fool @ SV32 @ SV100 )
| ! [SY162: $i] :
( ~ ( fool @ SV100 @ SY162 )
| ( SV62 @ SY162 ) ) )
= $true )
| ( ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(387,plain,
! [SV62: $i > $o,SV84: $i,SV32: $i] :
( ( ( ~ ( fool @ SV32 @ SV84 ) )
= $true )
| ( ( ! [SY155: $i] :
( ~ ( fool @ SV84 @ SY155 )
| ( SV62 @ SY155 ) ) )
= $true )
| ( ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(388,plain,
! [SV1: $i,SV85: $i,SV33: $i] :
( ( ( ~ ( b @ SV33 @ SV85 ) )
= $true )
| ( ( ~ ( ws @ a @ SV85 ) )
= $true )
| ( ( ws @ a @ SV33 )
= $true )
| ( ( fool @ SV1 @ SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(389,plain,
! [SV3: $i,SV69: $i,SV34: $i] :
( ( ( a @ SV34 @ SV69 )
= $false )
| ( ( ws @ b @ SV69 )
= $true )
| ( ( ws @ b @ SV34 )
= $false )
| ( ( fool @ SV3 @ SV34 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(390,plain,
! [SV4: $i,SV86: $i,SV35: $i] :
( ( ( ~ ( c @ SV35 @ SV86 ) )
= $true )
| ( ( ~ ( ws @ b @ SV86 ) )
= $true )
| ( ( ws @ b @ SV35 )
= $true )
| ( ( fool @ SV4 @ SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(391,plain,
! [SV5: $i,SV70: $i,SV36: $i] :
( ( ( b @ SV36 @ SV70 )
= $false )
| ( ( ws @ c @ SV70 )
= $true )
| ( ( ws @ c @ SV36 )
= $false )
| ( ( fool @ SV5 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(392,plain,
! [SV6: $i,SV71: $i,SV37: $i] :
( ( ( a @ SV37 @ SV71 )
= $false )
| ( ( ws @ c @ SV71 )
= $true )
| ( ( ws @ c @ SV37 )
= $false )
| ( ( fool @ SV6 @ SV37 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(393,plain,
! [SV63: $i,SV38: $i > $o,SV101: $i,SV7: $i] :
( ( ( ~ ( a @ SV7 @ SV101 )
| ~ ! [SY163: $i] :
( ~ ( c @ SV101 @ SY163 )
| ( SV38 @ SY163 ) ) )
= $true )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(394,plain,
! [SV8: $i,SV72: $i,SV39: $i] :
( ( ( b @ SV39 @ SV72 )
= $false )
| ( ( ws @ a @ SV72 )
= $true )
| ( ( ws @ a @ SV39 )
= $false )
| ( ( fool @ SV8 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(395,plain,
! [SV9: $i,SV87: $i,SV40: $i] :
( ( ( ~ ( c @ SV40 @ SV87 ) )
= $true )
| ( ( ~ ( ws @ a @ SV87 ) )
= $true )
| ( ( ws @ a @ SV40 )
= $true )
| ( ( fool @ SV9 @ SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(396,plain,
! [SV10: $i,SV88: $i,SV41: $i] :
( ( ( ~ ( a @ SV41 @ SV88 ) )
= $true )
| ( ( ~ ( ws @ c @ SV88 ) )
= $true )
| ( ( ws @ c @ SV41 )
= $true )
| ( ( fool @ SV10 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(397,plain,
! [SV64: $i,SV42: $i > $o,SV102: $i,SV11: $i] :
( ( ( ~ ( b @ SV11 @ SV102 )
| ~ ! [SY164: $i] :
( ~ ( c @ SV102 @ SY164 )
| ( SV42 @ SY164 ) ) )
= $true )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(398,plain,
! [SV43: $i > $o,SV89: $i,SV12: $i] :
( ( ( ~ ( c @ SV12 @ SV89 ) )
= $true )
| ( ( SV43 @ SV89 )
= $true )
| ( ( fool @ SV12 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(399,plain,
! [SV43: $i > $o,SV73: $i,SV12: $i] :
( ( ( c @ SV12 @ SV73 )
= $false )
| ( ( SV43 @ SV73 )
= $true )
| ( ( SV43 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(400,plain,
! [SV13: $i,SV90: $i,SV44: $i] :
( ( ( ~ ( b @ SV44 @ SV90 ) )
= $true )
| ( ( ~ ( ws @ c @ SV90 ) )
= $true )
| ( ( ws @ c @ SV44 )
= $true )
| ( ( fool @ SV13 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(401,plain,
! [SV45: $i > $o,SV91: $i,SV14: $i] :
( ( ( ~ ( a @ SV14 @ SV91 ) )
= $true )
| ( ( ! [SY156: $i] :
( ~ ( c @ SV91 @ SY156 )
| ( SV45 @ SY156 ) ) )
= $true )
| ( ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(402,plain,
! [SV45: $i > $o,SV74: $i,SV14: $i] :
( ( ( a @ SV14 @ SV74 )
= $false )
| ( ( ! [SY149: $i] :
( ~ ( c @ SV74 @ SY149 )
| ( SV45 @ SY149 ) ) )
= $true )
| ( ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(403,plain,
! [SV65: $i,SV46: $i > $o,SV103: $i,SV15: $i] :
( ( ( ~ ( c @ SV15 @ SV103 )
| ~ ! [SY165: $i] :
( ~ ( a @ SV103 @ SY165 )
| ( SV46 @ SY165 ) ) )
= $true )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(404,plain,
! [SV16: $i,SV75: $i,SV47: $i] :
( ( ( c @ SV47 @ SV75 )
= $false )
| ( ( ws @ a @ SV75 )
= $true )
| ( ( ws @ a @ SV47 )
= $false )
| ( ( fool @ SV16 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(405,plain,
! [SV48: $i > $o,SV92: $i,SV17: $i] :
( ( ( ~ ( b @ SV17 @ SV92 ) )
= $true )
| ( ( ! [SY157: $i] :
( ~ ( c @ SV92 @ SY157 )
| ( SV48 @ SY157 ) ) )
= $true )
| ( ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(406,plain,
! [SV48: $i > $o,SV76: $i,SV17: $i] :
( ( ( b @ SV17 @ SV76 )
= $false )
| ( ( ! [SY150: $i] :
( ~ ( c @ SV76 @ SY150 )
| ( SV48 @ SY150 ) ) )
= $true )
| ( ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(407,plain,
! [SV66: $i,SV49: $i > $o,SV104: $i,SV18: $i] :
( ( ( ~ ( b @ SV18 @ SV104 )
| ~ ! [SY166: $i] :
( ~ ( a @ SV104 @ SY166 )
| ( SV49 @ SY166 ) ) )
= $true )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(408,plain,
! [SV50: $i > $o,SV93: $i,SV19: $i] :
( ( ( ~ ( c @ SV19 @ SV93 ) )
= $true )
| ( ( ! [SY158: $i] :
( ~ ( a @ SV93 @ SY158 )
| ( SV50 @ SY158 ) ) )
= $true )
| ( ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(409,plain,
! [SV50: $i > $o,SV77: $i,SV19: $i] :
( ( ( c @ SV19 @ SV77 )
= $false )
| ( ( ! [SY151: $i] :
( ~ ( a @ SV77 @ SY151 )
| ( SV50 @ SY151 ) ) )
= $true )
| ( ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(410,plain,
! [SV21: $i,SV78: $i,SV51: $i] :
( ( ( c @ SV51 @ SV78 )
= $false )
| ( ( ws @ b @ SV78 )
= $true )
| ( ( ws @ b @ SV51 )
= $false )
| ( ( fool @ SV21 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(411,plain,
! [SV52: $i > $o,SV94: $i,SV22: $i] :
( ( ( ~ ( a @ SV22 @ SV94 ) )
= $true )
| ( ( SV52 @ SV94 )
= $true )
| ( ( fool @ SV22 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(412,plain,
! [SV52: $i > $o,SV79: $i,SV22: $i] :
( ( ( a @ SV22 @ SV79 )
= $false )
| ( ( SV52 @ SV79 )
= $true )
| ( ( SV52 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(413,plain,
! [SV67: $i,SV53: $i > $o,SV105: $i,SV23: $i] :
( ( ( ~ ( c @ SV23 @ SV105 )
| ~ ! [SY167: $i] :
( ~ ( b @ SV105 @ SY167 )
| ( SV53 @ SY167 ) ) )
= $true )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(414,plain,
! [SV54: $i > $o,SV95: $i,SV24: $i] :
( ( ( ~ ( c @ SV24 @ SV95 ) )
= $true )
| ( ( ! [SY159: $i] :
( ~ ( b @ SV95 @ SY159 )
| ( SV54 @ SY159 ) ) )
= $true )
| ( ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(415,plain,
! [SV54: $i > $o,SV80: $i,SV24: $i] :
( ( ( c @ SV24 @ SV80 )
= $false )
| ( ( ! [SY152: $i] :
( ~ ( b @ SV80 @ SY152 )
| ( SV54 @ SY152 ) ) )
= $true )
| ( ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(416,plain,
! [SV56: $i > $o,SV96: $i,SV26: $i] :
( ( ( ~ ( b @ SV26 @ SV96 ) )
= $true )
| ( ( ! [SY160: $i] :
( ~ ( a @ SV96 @ SY160 )
| ( SV56 @ SY160 ) ) )
= $true )
| ( ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(417,plain,
! [SV56: $i > $o,SV81: $i,SV26: $i] :
( ( ( b @ SV26 @ SV81 )
= $false )
| ( ( ! [SY153: $i] :
( ~ ( a @ SV81 @ SY153 )
| ( SV56 @ SY153 ) ) )
= $true )
| ( ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(418,plain,
! [SV27: $i,SV97: $i,SV57: $i] :
( ( ( ~ ( a @ SV57 @ SV97 ) )
= $true )
| ( ( ~ ( ws @ b @ SV97 ) )
= $true )
| ( ( ws @ b @ SV57 )
= $true )
| ( ( fool @ SV27 @ SV57 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(419,plain,
! [SV58: $i > $o,SV98: $i,SV28: $i] :
( ( ( ~ ( a @ SV28 @ SV98 ) )
= $true )
| ( ( ! [SY161: $i] :
( ~ ( b @ SV98 @ SY161 )
| ( SV58 @ SY161 ) ) )
= $true )
| ( ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(420,plain,
! [SV58: $i > $o,SV82: $i,SV28: $i] :
( ( ( a @ SV28 @ SV82 )
= $false )
| ( ( ! [SY154: $i] :
( ~ ( b @ SV82 @ SY154 )
| ( SV58 @ SY154 ) ) )
= $true )
| ( ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(421,plain,
! [SV68: $i,SV59: $i > $o,SV106: $i,SV29: $i] :
( ( ( ~ ( a @ SV29 @ SV106 )
| ~ ! [SY168: $i] :
( ~ ( b @ SV106 @ SY168 )
| ( SV59 @ SY168 ) ) )
= $true )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(422,plain,
! [SV60: $i > $o,SV99: $i,SV30: $i] :
( ( ( ~ ( b @ SV30 @ SV99 ) )
= $true )
| ( ( SV60 @ SV99 )
= $true )
| ( ( fool @ SV30 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(423,plain,
! [SV60: $i > $o,SV83: $i,SV30: $i] :
( ( ( b @ SV30 @ SV83 )
= $false )
| ( ( SV60 @ SV83 )
= $true )
| ( ( SV60 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(424,plain,
! [SV62: $i > $o,SV100: $i,SV32: $i] :
( ( ( ~ ( fool @ SV32 @ SV100 ) )
= $true )
| ( ( ! [SY162: $i] :
( ~ ( fool @ SV100 @ SY162 )
| ( SV62 @ SY162 ) ) )
= $true )
| ( ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(425,plain,
! [SV62: $i > $o,SV84: $i,SV32: $i] :
( ( ( fool @ SV32 @ SV84 )
= $false )
| ( ( ! [SY155: $i] :
( ~ ( fool @ SV84 @ SY155 )
| ( SV62 @ SY155 ) ) )
= $true )
| ( ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(426,plain,
! [SV1: $i,SV85: $i,SV33: $i] :
( ( ( b @ SV33 @ SV85 )
= $false )
| ( ( ~ ( ws @ a @ SV85 ) )
= $true )
| ( ( ws @ a @ SV33 )
= $true )
| ( ( fool @ SV1 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(427,plain,
! [SV4: $i,SV86: $i,SV35: $i] :
( ( ( c @ SV35 @ SV86 )
= $false )
| ( ( ~ ( ws @ b @ SV86 ) )
= $true )
| ( ( ws @ b @ SV35 )
= $true )
| ( ( fool @ SV4 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(428,plain,
! [SV63: $i,SV38: $i > $o,SV101: $i,SV7: $i] :
( ( ( ~ ( a @ SV7 @ SV101 ) )
= $true )
| ( ( ~ ! [SY163: $i] :
( ~ ( c @ SV101 @ SY163 )
| ( SV38 @ SY163 ) ) )
= $true )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(429,plain,
! [SV9: $i,SV87: $i,SV40: $i] :
( ( ( c @ SV40 @ SV87 )
= $false )
| ( ( ~ ( ws @ a @ SV87 ) )
= $true )
| ( ( ws @ a @ SV40 )
= $true )
| ( ( fool @ SV9 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(430,plain,
! [SV10: $i,SV88: $i,SV41: $i] :
( ( ( a @ SV41 @ SV88 )
= $false )
| ( ( ~ ( ws @ c @ SV88 ) )
= $true )
| ( ( ws @ c @ SV41 )
= $true )
| ( ( fool @ SV10 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(431,plain,
! [SV64: $i,SV42: $i > $o,SV102: $i,SV11: $i] :
( ( ( ~ ( b @ SV11 @ SV102 ) )
= $true )
| ( ( ~ ! [SY164: $i] :
( ~ ( c @ SV102 @ SY164 )
| ( SV42 @ SY164 ) ) )
= $true )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(432,plain,
! [SV43: $i > $o,SV89: $i,SV12: $i] :
( ( ( c @ SV12 @ SV89 )
= $false )
| ( ( SV43 @ SV89 )
= $true )
| ( ( fool @ SV12 @ ( sK5_SY104 @ SV43 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(433,plain,
! [SV13: $i,SV90: $i,SV44: $i] :
( ( ( b @ SV44 @ SV90 )
= $false )
| ( ( ~ ( ws @ c @ SV90 ) )
= $true )
| ( ( ws @ c @ SV44 )
= $true )
| ( ( fool @ SV13 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(434,plain,
! [SV45: $i > $o,SV91: $i,SV14: $i] :
( ( ( a @ SV14 @ SV91 )
= $false )
| ( ( ! [SY156: $i] :
( ~ ( c @ SV91 @ SY156 )
| ( SV45 @ SY156 ) ) )
= $true )
| ( ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(435,plain,
! [SV14: $i,SV45: $i > $o,SV107: $i,SV74: $i] :
( ( ( ~ ( c @ SV74 @ SV107 )
| ( SV45 @ SV107 ) )
= $true )
| ( ( a @ SV14 @ SV74 )
= $false )
| ( ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(436,plain,
! [SV65: $i,SV46: $i > $o,SV103: $i,SV15: $i] :
( ( ( ~ ( c @ SV15 @ SV103 ) )
= $true )
| ( ( ~ ! [SY165: $i] :
( ~ ( a @ SV103 @ SY165 )
| ( SV46 @ SY165 ) ) )
= $true )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[403]) ).
thf(437,plain,
! [SV48: $i > $o,SV92: $i,SV17: $i] :
( ( ( b @ SV17 @ SV92 )
= $false )
| ( ( ! [SY157: $i] :
( ~ ( c @ SV92 @ SY157 )
| ( SV48 @ SY157 ) ) )
= $true )
| ( ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(438,plain,
! [SV17: $i,SV48: $i > $o,SV108: $i,SV76: $i] :
( ( ( ~ ( c @ SV76 @ SV108 )
| ( SV48 @ SV108 ) )
= $true )
| ( ( b @ SV17 @ SV76 )
= $false )
| ( ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(439,plain,
! [SV66: $i,SV49: $i > $o,SV104: $i,SV18: $i] :
( ( ( ~ ( b @ SV18 @ SV104 ) )
= $true )
| ( ( ~ ! [SY166: $i] :
( ~ ( a @ SV104 @ SY166 )
| ( SV49 @ SY166 ) ) )
= $true )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(440,plain,
! [SV50: $i > $o,SV93: $i,SV19: $i] :
( ( ( c @ SV19 @ SV93 )
= $false )
| ( ( ! [SY158: $i] :
( ~ ( a @ SV93 @ SY158 )
| ( SV50 @ SY158 ) ) )
= $true )
| ( ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(441,plain,
! [SV19: $i,SV50: $i > $o,SV109: $i,SV77: $i] :
( ( ( ~ ( a @ SV77 @ SV109 )
| ( SV50 @ SV109 ) )
= $true )
| ( ( c @ SV19 @ SV77 )
= $false )
| ( ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(442,plain,
! [SV52: $i > $o,SV94: $i,SV22: $i] :
( ( ( a @ SV22 @ SV94 )
= $false )
| ( ( SV52 @ SV94 )
= $true )
| ( ( fool @ SV22 @ ( sK9_SY124 @ SV52 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(443,plain,
! [SV67: $i,SV53: $i > $o,SV105: $i,SV23: $i] :
( ( ( ~ ( c @ SV23 @ SV105 ) )
= $true )
| ( ( ~ ! [SY167: $i] :
( ~ ( b @ SV105 @ SY167 )
| ( SV53 @ SY167 ) ) )
= $true )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(444,plain,
! [SV54: $i > $o,SV95: $i,SV24: $i] :
( ( ( c @ SV24 @ SV95 )
= $false )
| ( ( ! [SY159: $i] :
( ~ ( b @ SV95 @ SY159 )
| ( SV54 @ SY159 ) ) )
= $true )
| ( ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(445,plain,
! [SV24: $i,SV54: $i > $o,SV110: $i,SV80: $i] :
( ( ( ~ ( b @ SV80 @ SV110 )
| ( SV54 @ SV110 ) )
= $true )
| ( ( c @ SV24 @ SV80 )
= $false )
| ( ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(446,plain,
! [SV56: $i > $o,SV96: $i,SV26: $i] :
( ( ( b @ SV26 @ SV96 )
= $false )
| ( ( ! [SY160: $i] :
( ~ ( a @ SV96 @ SY160 )
| ( SV56 @ SY160 ) ) )
= $true )
| ( ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(447,plain,
! [SV26: $i,SV56: $i > $o,SV111: $i,SV81: $i] :
( ( ( ~ ( a @ SV81 @ SV111 )
| ( SV56 @ SV111 ) )
= $true )
| ( ( b @ SV26 @ SV81 )
= $false )
| ( ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(448,plain,
! [SV27: $i,SV97: $i,SV57: $i] :
( ( ( a @ SV57 @ SV97 )
= $false )
| ( ( ~ ( ws @ b @ SV97 ) )
= $true )
| ( ( ws @ b @ SV57 )
= $true )
| ( ( fool @ SV27 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(449,plain,
! [SV58: $i > $o,SV98: $i,SV28: $i] :
( ( ( a @ SV28 @ SV98 )
= $false )
| ( ( ! [SY161: $i] :
( ~ ( b @ SV98 @ SY161 )
| ( SV58 @ SY161 ) ) )
= $true )
| ( ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(450,plain,
! [SV28: $i,SV58: $i > $o,SV112: $i,SV82: $i] :
( ( ( ~ ( b @ SV82 @ SV112 )
| ( SV58 @ SV112 ) )
= $true )
| ( ( a @ SV28 @ SV82 )
= $false )
| ( ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(451,plain,
! [SV68: $i,SV59: $i > $o,SV106: $i,SV29: $i] :
( ( ( ~ ( a @ SV29 @ SV106 ) )
= $true )
| ( ( ~ ! [SY168: $i] :
( ~ ( b @ SV106 @ SY168 )
| ( SV59 @ SY168 ) ) )
= $true )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(452,plain,
! [SV60: $i > $o,SV99: $i,SV30: $i] :
( ( ( b @ SV30 @ SV99 )
= $false )
| ( ( SV60 @ SV99 )
= $true )
| ( ( fool @ SV30 @ ( sK13_SY143 @ SV60 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(453,plain,
! [SV62: $i > $o,SV100: $i,SV32: $i] :
( ( ( fool @ SV32 @ SV100 )
= $false )
| ( ( ! [SY162: $i] :
( ~ ( fool @ SV100 @ SY162 )
| ( SV62 @ SY162 ) ) )
= $true )
| ( ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(454,plain,
! [SV32: $i,SV62: $i > $o,SV113: $i,SV84: $i] :
( ( ( ~ ( fool @ SV84 @ SV113 )
| ( SV62 @ SV113 ) )
= $true )
| ( ( fool @ SV32 @ SV84 )
= $false )
| ( ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(455,plain,
! [SV1: $i,SV33: $i,SV85: $i] :
( ( ( ws @ a @ SV85 )
= $false )
| ( ( b @ SV33 @ SV85 )
= $false )
| ( ( ws @ a @ SV33 )
= $true )
| ( ( fool @ SV1 @ SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(456,plain,
! [SV4: $i,SV35: $i,SV86: $i] :
( ( ( ws @ b @ SV86 )
= $false )
| ( ( c @ SV35 @ SV86 )
= $false )
| ( ( ws @ b @ SV35 )
= $true )
| ( ( fool @ SV4 @ SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(457,plain,
! [SV63: $i,SV38: $i > $o,SV101: $i,SV7: $i] :
( ( ( a @ SV7 @ SV101 )
= $false )
| ( ( ~ ! [SY163: $i] :
( ~ ( c @ SV101 @ SY163 )
| ( SV38 @ SY163 ) ) )
= $true )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(458,plain,
! [SV9: $i,SV40: $i,SV87: $i] :
( ( ( ws @ a @ SV87 )
= $false )
| ( ( c @ SV40 @ SV87 )
= $false )
| ( ( ws @ a @ SV40 )
= $true )
| ( ( fool @ SV9 @ SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(459,plain,
! [SV10: $i,SV41: $i,SV88: $i] :
( ( ( ws @ c @ SV88 )
= $false )
| ( ( a @ SV41 @ SV88 )
= $false )
| ( ( ws @ c @ SV41 )
= $true )
| ( ( fool @ SV10 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(460,plain,
! [SV64: $i,SV42: $i > $o,SV102: $i,SV11: $i] :
( ( ( b @ SV11 @ SV102 )
= $false )
| ( ( ~ ! [SY164: $i] :
( ~ ( c @ SV102 @ SY164 )
| ( SV42 @ SY164 ) ) )
= $true )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(461,plain,
! [SV13: $i,SV44: $i,SV90: $i] :
( ( ( ws @ c @ SV90 )
= $false )
| ( ( b @ SV44 @ SV90 )
= $false )
| ( ( ws @ c @ SV44 )
= $true )
| ( ( fool @ SV13 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(462,plain,
! [SV14: $i,SV45: $i > $o,SV114: $i,SV91: $i] :
( ( ( ~ ( c @ SV91 @ SV114 )
| ( SV45 @ SV114 ) )
= $true )
| ( ( a @ SV14 @ SV91 )
= $false )
| ( ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(463,plain,
! [SV14: $i,SV45: $i > $o,SV107: $i,SV74: $i] :
( ( ( ~ ( c @ SV74 @ SV107 ) )
= $true )
| ( ( SV45 @ SV107 )
= $true )
| ( ( a @ SV14 @ SV74 )
= $false )
| ( ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(464,plain,
! [SV65: $i,SV46: $i > $o,SV103: $i,SV15: $i] :
( ( ( c @ SV15 @ SV103 )
= $false )
| ( ( ~ ! [SY165: $i] :
( ~ ( a @ SV103 @ SY165 )
| ( SV46 @ SY165 ) ) )
= $true )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(465,plain,
! [SV17: $i,SV48: $i > $o,SV115: $i,SV92: $i] :
( ( ( ~ ( c @ SV92 @ SV115 )
| ( SV48 @ SV115 ) )
= $true )
| ( ( b @ SV17 @ SV92 )
= $false )
| ( ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(466,plain,
! [SV17: $i,SV48: $i > $o,SV108: $i,SV76: $i] :
( ( ( ~ ( c @ SV76 @ SV108 ) )
= $true )
| ( ( SV48 @ SV108 )
= $true )
| ( ( b @ SV17 @ SV76 )
= $false )
| ( ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(467,plain,
! [SV66: $i,SV49: $i > $o,SV104: $i,SV18: $i] :
( ( ( b @ SV18 @ SV104 )
= $false )
| ( ( ~ ! [SY166: $i] :
( ~ ( a @ SV104 @ SY166 )
| ( SV49 @ SY166 ) ) )
= $true )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(468,plain,
! [SV19: $i,SV50: $i > $o,SV116: $i,SV93: $i] :
( ( ( ~ ( a @ SV93 @ SV116 )
| ( SV50 @ SV116 ) )
= $true )
| ( ( c @ SV19 @ SV93 )
= $false )
| ( ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(469,plain,
! [SV19: $i,SV50: $i > $o,SV109: $i,SV77: $i] :
( ( ( ~ ( a @ SV77 @ SV109 ) )
= $true )
| ( ( SV50 @ SV109 )
= $true )
| ( ( c @ SV19 @ SV77 )
= $false )
| ( ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(470,plain,
! [SV67: $i,SV53: $i > $o,SV105: $i,SV23: $i] :
( ( ( c @ SV23 @ SV105 )
= $false )
| ( ( ~ ! [SY167: $i] :
( ~ ( b @ SV105 @ SY167 )
| ( SV53 @ SY167 ) ) )
= $true )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(471,plain,
! [SV24: $i,SV54: $i > $o,SV117: $i,SV95: $i] :
( ( ( ~ ( b @ SV95 @ SV117 )
| ( SV54 @ SV117 ) )
= $true )
| ( ( c @ SV24 @ SV95 )
= $false )
| ( ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(472,plain,
! [SV24: $i,SV54: $i > $o,SV110: $i,SV80: $i] :
( ( ( ~ ( b @ SV80 @ SV110 ) )
= $true )
| ( ( SV54 @ SV110 )
= $true )
| ( ( c @ SV24 @ SV80 )
= $false )
| ( ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(473,plain,
! [SV26: $i,SV56: $i > $o,SV118: $i,SV96: $i] :
( ( ( ~ ( a @ SV96 @ SV118 )
| ( SV56 @ SV118 ) )
= $true )
| ( ( b @ SV26 @ SV96 )
= $false )
| ( ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(474,plain,
! [SV26: $i,SV56: $i > $o,SV111: $i,SV81: $i] :
( ( ( ~ ( a @ SV81 @ SV111 ) )
= $true )
| ( ( SV56 @ SV111 )
= $true )
| ( ( b @ SV26 @ SV81 )
= $false )
| ( ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(475,plain,
! [SV27: $i,SV57: $i,SV97: $i] :
( ( ( ws @ b @ SV97 )
= $false )
| ( ( a @ SV57 @ SV97 )
= $false )
| ( ( ws @ b @ SV57 )
= $true )
| ( ( fool @ SV27 @ SV57 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(476,plain,
! [SV28: $i,SV58: $i > $o,SV119: $i,SV98: $i] :
( ( ( ~ ( b @ SV98 @ SV119 )
| ( SV58 @ SV119 ) )
= $true )
| ( ( a @ SV28 @ SV98 )
= $false )
| ( ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(477,plain,
! [SV28: $i,SV58: $i > $o,SV112: $i,SV82: $i] :
( ( ( ~ ( b @ SV82 @ SV112 ) )
= $true )
| ( ( SV58 @ SV112 )
= $true )
| ( ( a @ SV28 @ SV82 )
= $false )
| ( ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(478,plain,
! [SV68: $i,SV59: $i > $o,SV106: $i,SV29: $i] :
( ( ( a @ SV29 @ SV106 )
= $false )
| ( ( ~ ! [SY168: $i] :
( ~ ( b @ SV106 @ SY168 )
| ( SV59 @ SY168 ) ) )
= $true )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(479,plain,
! [SV32: $i,SV62: $i > $o,SV120: $i,SV100: $i] :
( ( ( ~ ( fool @ SV100 @ SV120 )
| ( SV62 @ SV120 ) )
= $true )
| ( ( fool @ SV32 @ SV100 )
= $false )
| ( ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(480,plain,
! [SV32: $i,SV62: $i > $o,SV113: $i,SV84: $i] :
( ( ( ~ ( fool @ SV84 @ SV113 ) )
= $true )
| ( ( SV62 @ SV113 )
= $true )
| ( ( fool @ SV32 @ SV84 )
= $false )
| ( ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(481,plain,
! [SV63: $i,SV7: $i,SV38: $i > $o,SV101: $i] :
( ( ( ! [SY163: $i] :
( ~ ( c @ SV101 @ SY163 )
| ( SV38 @ SY163 ) ) )
= $false )
| ( ( a @ SV7 @ SV101 )
= $false )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(482,plain,
! [SV64: $i,SV11: $i,SV42: $i > $o,SV102: $i] :
( ( ( ! [SY164: $i] :
( ~ ( c @ SV102 @ SY164 )
| ( SV42 @ SY164 ) ) )
= $false )
| ( ( b @ SV11 @ SV102 )
= $false )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(483,plain,
! [SV14: $i,SV45: $i > $o,SV114: $i,SV91: $i] :
( ( ( ~ ( c @ SV91 @ SV114 ) )
= $true )
| ( ( SV45 @ SV114 )
= $true )
| ( ( a @ SV14 @ SV91 )
= $false )
| ( ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[462]) ).
thf(484,plain,
! [SV14: $i,SV45: $i > $o,SV107: $i,SV74: $i] :
( ( ( c @ SV74 @ SV107 )
= $false )
| ( ( SV45 @ SV107 )
= $true )
| ( ( a @ SV14 @ SV74 )
= $false )
| ( ( SV45 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(485,plain,
! [SV65: $i,SV15: $i,SV46: $i > $o,SV103: $i] :
( ( ( ! [SY165: $i] :
( ~ ( a @ SV103 @ SY165 )
| ( SV46 @ SY165 ) ) )
= $false )
| ( ( c @ SV15 @ SV103 )
= $false )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(486,plain,
! [SV17: $i,SV48: $i > $o,SV115: $i,SV92: $i] :
( ( ( ~ ( c @ SV92 @ SV115 ) )
= $true )
| ( ( SV48 @ SV115 )
= $true )
| ( ( b @ SV17 @ SV92 )
= $false )
| ( ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(487,plain,
! [SV17: $i,SV48: $i > $o,SV108: $i,SV76: $i] :
( ( ( c @ SV76 @ SV108 )
= $false )
| ( ( SV48 @ SV108 )
= $true )
| ( ( b @ SV17 @ SV76 )
= $false )
| ( ( SV48 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(488,plain,
! [SV66: $i,SV18: $i,SV49: $i > $o,SV104: $i] :
( ( ( ! [SY166: $i] :
( ~ ( a @ SV104 @ SY166 )
| ( SV49 @ SY166 ) ) )
= $false )
| ( ( b @ SV18 @ SV104 )
= $false )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(489,plain,
! [SV19: $i,SV50: $i > $o,SV116: $i,SV93: $i] :
( ( ( ~ ( a @ SV93 @ SV116 ) )
= $true )
| ( ( SV50 @ SV116 )
= $true )
| ( ( c @ SV19 @ SV93 )
= $false )
| ( ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(490,plain,
! [SV19: $i,SV50: $i > $o,SV109: $i,SV77: $i] :
( ( ( a @ SV77 @ SV109 )
= $false )
| ( ( SV50 @ SV109 )
= $true )
| ( ( c @ SV19 @ SV77 )
= $false )
| ( ( SV50 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(491,plain,
! [SV67: $i,SV23: $i,SV53: $i > $o,SV105: $i] :
( ( ( ! [SY167: $i] :
( ~ ( b @ SV105 @ SY167 )
| ( SV53 @ SY167 ) ) )
= $false )
| ( ( c @ SV23 @ SV105 )
= $false )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(492,plain,
! [SV24: $i,SV54: $i > $o,SV117: $i,SV95: $i] :
( ( ( ~ ( b @ SV95 @ SV117 ) )
= $true )
| ( ( SV54 @ SV117 )
= $true )
| ( ( c @ SV24 @ SV95 )
= $false )
| ( ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(493,plain,
! [SV24: $i,SV54: $i > $o,SV110: $i,SV80: $i] :
( ( ( b @ SV80 @ SV110 )
= $false )
| ( ( SV54 @ SV110 )
= $true )
| ( ( c @ SV24 @ SV80 )
= $false )
| ( ( SV54 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(494,plain,
! [SV26: $i,SV56: $i > $o,SV118: $i,SV96: $i] :
( ( ( ~ ( a @ SV96 @ SV118 ) )
= $true )
| ( ( SV56 @ SV118 )
= $true )
| ( ( b @ SV26 @ SV96 )
= $false )
| ( ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(495,plain,
! [SV26: $i,SV56: $i > $o,SV111: $i,SV81: $i] :
( ( ( a @ SV81 @ SV111 )
= $false )
| ( ( SV56 @ SV111 )
= $true )
| ( ( b @ SV26 @ SV81 )
= $false )
| ( ( SV56 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(496,plain,
! [SV28: $i,SV58: $i > $o,SV119: $i,SV98: $i] :
( ( ( ~ ( b @ SV98 @ SV119 ) )
= $true )
| ( ( SV58 @ SV119 )
= $true )
| ( ( a @ SV28 @ SV98 )
= $false )
| ( ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(497,plain,
! [SV28: $i,SV58: $i > $o,SV112: $i,SV82: $i] :
( ( ( b @ SV82 @ SV112 )
= $false )
| ( ( SV58 @ SV112 )
= $true )
| ( ( a @ SV28 @ SV82 )
= $false )
| ( ( SV58 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(498,plain,
! [SV68: $i,SV29: $i,SV59: $i > $o,SV106: $i] :
( ( ( ! [SY168: $i] :
( ~ ( b @ SV106 @ SY168 )
| ( SV59 @ SY168 ) ) )
= $false )
| ( ( a @ SV29 @ SV106 )
= $false )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(499,plain,
! [SV32: $i,SV62: $i > $o,SV120: $i,SV100: $i] :
( ( ( ~ ( fool @ SV100 @ SV120 ) )
= $true )
| ( ( SV62 @ SV120 )
= $true )
| ( ( fool @ SV32 @ SV100 )
= $false )
| ( ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(500,plain,
! [SV32: $i,SV62: $i > $o,SV113: $i,SV84: $i] :
( ( ( fool @ SV84 @ SV113 )
= $false )
| ( ( SV62 @ SV113 )
= $true )
| ( ( fool @ SV32 @ SV84 )
= $false )
| ( ( SV62 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(501,plain,
! [SV38: $i > $o,SV7: $i,SV63: $i,SV101: $i] :
( ( ( ~ ( c @ SV101 @ ( sK16_SY163 @ SV63 @ SV7 @ SV38 @ SV101 ) )
| ( SV38 @ ( sK16_SY163 @ SV63 @ SV7 @ SV38 @ SV101 ) ) )
= $false )
| ( ( a @ SV7 @ SV101 )
= $false )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[481]) ).
thf(502,plain,
! [SV42: $i > $o,SV11: $i,SV64: $i,SV102: $i] :
( ( ( ~ ( c @ SV102 @ ( sK17_SY164 @ SV64 @ SV11 @ SV42 @ SV102 ) )
| ( SV42 @ ( sK17_SY164 @ SV64 @ SV11 @ SV42 @ SV102 ) ) )
= $false )
| ( ( b @ SV11 @ SV102 )
= $false )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(503,plain,
! [SV14: $i,SV45: $i > $o,SV114: $i,SV91: $i] :
( ( ( c @ SV91 @ SV114 )
= $false )
| ( ( SV45 @ SV114 )
= $true )
| ( ( a @ SV14 @ SV91 )
= $false )
| ( ( c @ SV14 @ ( sK6_SY107 @ SV45 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(504,plain,
! [SV46: $i > $o,SV15: $i,SV65: $i,SV103: $i] :
( ( ( ~ ( a @ SV103 @ ( sK18_SY165 @ SV65 @ SV15 @ SV46 @ SV103 ) )
| ( SV46 @ ( sK18_SY165 @ SV65 @ SV15 @ SV46 @ SV103 ) ) )
= $false )
| ( ( c @ SV15 @ SV103 )
= $false )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[485]) ).
thf(505,plain,
! [SV17: $i,SV48: $i > $o,SV115: $i,SV92: $i] :
( ( ( c @ SV92 @ SV115 )
= $false )
| ( ( SV48 @ SV115 )
= $true )
| ( ( b @ SV17 @ SV92 )
= $false )
| ( ( c @ SV17 @ ( sK7_SY114 @ SV48 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(506,plain,
! [SV49: $i > $o,SV18: $i,SV66: $i,SV104: $i] :
( ( ( ~ ( a @ SV104 @ ( sK19_SY166 @ SV66 @ SV18 @ SV49 @ SV104 ) )
| ( SV49 @ ( sK19_SY166 @ SV66 @ SV18 @ SV49 @ SV104 ) ) )
= $false )
| ( ( b @ SV18 @ SV104 )
= $false )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[488]) ).
thf(507,plain,
! [SV19: $i,SV50: $i > $o,SV116: $i,SV93: $i] :
( ( ( a @ SV93 @ SV116 )
= $false )
| ( ( SV50 @ SV116 )
= $true )
| ( ( c @ SV19 @ SV93 )
= $false )
| ( ( a @ SV19 @ ( sK8_SY120 @ SV50 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(508,plain,
! [SV53: $i > $o,SV23: $i,SV67: $i,SV105: $i] :
( ( ( ~ ( b @ SV105 @ ( sK20_SY167 @ SV67 @ SV23 @ SV53 @ SV105 ) )
| ( SV53 @ ( sK20_SY167 @ SV67 @ SV23 @ SV53 @ SV105 ) ) )
= $false )
| ( ( c @ SV23 @ SV105 )
= $false )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[491]) ).
thf(509,plain,
! [SV24: $i,SV54: $i > $o,SV117: $i,SV95: $i] :
( ( ( b @ SV95 @ SV117 )
= $false )
| ( ( SV54 @ SV117 )
= $true )
| ( ( c @ SV24 @ SV95 )
= $false )
| ( ( b @ SV24 @ ( sK10_SY129 @ SV54 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(510,plain,
! [SV26: $i,SV56: $i > $o,SV118: $i,SV96: $i] :
( ( ( a @ SV96 @ SV118 )
= $false )
| ( ( SV56 @ SV118 )
= $true )
| ( ( b @ SV26 @ SV96 )
= $false )
| ( ( a @ SV26 @ ( sK11_SY133 @ SV56 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(511,plain,
! [SV28: $i,SV58: $i > $o,SV119: $i,SV98: $i] :
( ( ( b @ SV98 @ SV119 )
= $false )
| ( ( SV58 @ SV119 )
= $true )
| ( ( a @ SV28 @ SV98 )
= $false )
| ( ( b @ SV28 @ ( sK12_SY137 @ SV58 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(512,plain,
! [SV59: $i > $o,SV29: $i,SV68: $i,SV106: $i] :
( ( ( ~ ( b @ SV106 @ ( sK21_SY168 @ SV68 @ SV29 @ SV59 @ SV106 ) )
| ( SV59 @ ( sK21_SY168 @ SV68 @ SV29 @ SV59 @ SV106 ) ) )
= $false )
| ( ( a @ SV29 @ SV106 )
= $false )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[498]) ).
thf(513,plain,
! [SV32: $i,SV62: $i > $o,SV120: $i,SV100: $i] :
( ( ( fool @ SV100 @ SV120 )
= $false )
| ( ( SV62 @ SV120 )
= $true )
| ( ( fool @ SV32 @ SV100 )
= $false )
| ( ( fool @ SV32 @ ( sK15_SY146 @ SV62 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(514,plain,
! [SV38: $i > $o,SV7: $i,SV63: $i,SV101: $i] :
( ( ( ~ ( c @ SV101 @ ( sK16_SY163 @ SV63 @ SV7 @ SV38 @ SV101 ) ) )
= $false )
| ( ( a @ SV7 @ SV101 )
= $false )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(515,plain,
! [SV101: $i,SV7: $i,SV63: $i,SV38: $i > $o] :
( ( ( SV38 @ ( sK16_SY163 @ SV63 @ SV7 @ SV38 @ SV101 ) )
= $false )
| ( ( a @ SV7 @ SV101 )
= $false )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(516,plain,
! [SV42: $i > $o,SV11: $i,SV64: $i,SV102: $i] :
( ( ( ~ ( c @ SV102 @ ( sK17_SY164 @ SV64 @ SV11 @ SV42 @ SV102 ) ) )
= $false )
| ( ( b @ SV11 @ SV102 )
= $false )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(517,plain,
! [SV102: $i,SV11: $i,SV64: $i,SV42: $i > $o] :
( ( ( SV42 @ ( sK17_SY164 @ SV64 @ SV11 @ SV42 @ SV102 ) )
= $false )
| ( ( b @ SV11 @ SV102 )
= $false )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[502]) ).
thf(518,plain,
! [SV46: $i > $o,SV15: $i,SV65: $i,SV103: $i] :
( ( ( ~ ( a @ SV103 @ ( sK18_SY165 @ SV65 @ SV15 @ SV46 @ SV103 ) ) )
= $false )
| ( ( c @ SV15 @ SV103 )
= $false )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(519,plain,
! [SV103: $i,SV15: $i,SV65: $i,SV46: $i > $o] :
( ( ( SV46 @ ( sK18_SY165 @ SV65 @ SV15 @ SV46 @ SV103 ) )
= $false )
| ( ( c @ SV15 @ SV103 )
= $false )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(520,plain,
! [SV49: $i > $o,SV18: $i,SV66: $i,SV104: $i] :
( ( ( ~ ( a @ SV104 @ ( sK19_SY166 @ SV66 @ SV18 @ SV49 @ SV104 ) ) )
= $false )
| ( ( b @ SV18 @ SV104 )
= $false )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(521,plain,
! [SV104: $i,SV18: $i,SV66: $i,SV49: $i > $o] :
( ( ( SV49 @ ( sK19_SY166 @ SV66 @ SV18 @ SV49 @ SV104 ) )
= $false )
| ( ( b @ SV18 @ SV104 )
= $false )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(522,plain,
! [SV53: $i > $o,SV23: $i,SV67: $i,SV105: $i] :
( ( ( ~ ( b @ SV105 @ ( sK20_SY167 @ SV67 @ SV23 @ SV53 @ SV105 ) ) )
= $false )
| ( ( c @ SV23 @ SV105 )
= $false )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(523,plain,
! [SV105: $i,SV23: $i,SV67: $i,SV53: $i > $o] :
( ( ( SV53 @ ( sK20_SY167 @ SV67 @ SV23 @ SV53 @ SV105 ) )
= $false )
| ( ( c @ SV23 @ SV105 )
= $false )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[508]) ).
thf(524,plain,
! [SV59: $i > $o,SV29: $i,SV68: $i,SV106: $i] :
( ( ( ~ ( b @ SV106 @ ( sK21_SY168 @ SV68 @ SV29 @ SV59 @ SV106 ) ) )
= $false )
| ( ( a @ SV29 @ SV106 )
= $false )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(525,plain,
! [SV106: $i,SV29: $i,SV68: $i,SV59: $i > $o] :
( ( ( SV59 @ ( sK21_SY168 @ SV68 @ SV29 @ SV59 @ SV106 ) )
= $false )
| ( ( a @ SV29 @ SV106 )
= $false )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(526,plain,
! [SV38: $i > $o,SV7: $i,SV63: $i,SV101: $i] :
( ( ( c @ SV101 @ ( sK16_SY163 @ SV63 @ SV7 @ SV38 @ SV101 ) )
= $true )
| ( ( a @ SV7 @ SV101 )
= $false )
| ( ( SV38 @ SV63 )
= $true )
| ( ( c @ SV7 @ SV63 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(527,plain,
! [SV42: $i > $o,SV11: $i,SV64: $i,SV102: $i] :
( ( ( c @ SV102 @ ( sK17_SY164 @ SV64 @ SV11 @ SV42 @ SV102 ) )
= $true )
| ( ( b @ SV11 @ SV102 )
= $false )
| ( ( SV42 @ SV64 )
= $true )
| ( ( c @ SV11 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(528,plain,
! [SV46: $i > $o,SV15: $i,SV65: $i,SV103: $i] :
( ( ( a @ SV103 @ ( sK18_SY165 @ SV65 @ SV15 @ SV46 @ SV103 ) )
= $true )
| ( ( c @ SV15 @ SV103 )
= $false )
| ( ( SV46 @ SV65 )
= $true )
| ( ( a @ SV15 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(529,plain,
! [SV49: $i > $o,SV18: $i,SV66: $i,SV104: $i] :
( ( ( a @ SV104 @ ( sK19_SY166 @ SV66 @ SV18 @ SV49 @ SV104 ) )
= $true )
| ( ( b @ SV18 @ SV104 )
= $false )
| ( ( SV49 @ SV66 )
= $true )
| ( ( a @ SV18 @ SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(530,plain,
! [SV53: $i > $o,SV23: $i,SV67: $i,SV105: $i] :
( ( ( b @ SV105 @ ( sK20_SY167 @ SV67 @ SV23 @ SV53 @ SV105 ) )
= $true )
| ( ( c @ SV23 @ SV105 )
= $false )
| ( ( SV53 @ SV67 )
= $true )
| ( ( b @ SV23 @ SV67 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(531,plain,
! [SV59: $i > $o,SV29: $i,SV68: $i,SV106: $i] :
( ( ( b @ SV106 @ ( sK21_SY168 @ SV68 @ SV29 @ SV59 @ SV106 ) )
= $true )
| ( ( a @ SV29 @ SV106 )
= $false )
| ( ( SV59 @ SV68 )
= $true )
| ( ( b @ SV29 @ SV68 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[524]) ).
thf(532,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[203,531,530,529,528,527,526,525,523,521,519,517,515,513,511,510,509,507,505,503,500,497,495,493,490,487,484,475,461,459,458,456,455,452,442,432,423,412,410,404,399,394,392,391,389,347,308,298,261,256,238,228,222]) ).
thf(533,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[532]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : PUZ087^1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 20:26:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 32
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 5293
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.37 (rf:0,axioms:32,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:34,loop_count:0,foatp_calls:0,translation:fof_full)..............................
% 0.46/0.66
% 0.46/0.66 ********************************
% 0.46/0.66 * All subproblems solved! *
% 0.46/0.66 ********************************
% 0.46/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:32,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:532,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.55/0.77
% 0.55/0.77 %**** Beginning of derivation protocol ****
% 0.55/0.77 % SZS output start CNFRefutation
% See solution above
% 0.55/0.77
% 0.55/0.77 %**** End of derivation protocol ****
% 0.55/0.77 %**** no. of clauses in derivation: 533 ****
% 0.55/0.77 %**** clause counter: 532 ****
% 0.55/0.77
% 0.55/0.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:32,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:532,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------