%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV097^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:39:55 AM UTC 2026
% Result : Theorem 3.09s 0.88s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 2042 ( 39 equ; 0 cnn)
% Maximal formula atoms : 267 ( 47 avg)
% Number of connectives : 6976 ( 677 ~; 363 |; 0 &;5694 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 721 ( 721 >; 0 *; 0 +; 0 <<)
% Number of symbols : 115 ( 111 usr; 24 con; 0-4 aty)
% ( 222 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1426 (1420 ^; 6 !; 0 ?;1426 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
qmltpeq: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_7,type,
mtrue: $i > $o ).
thf(func_def_8,type,
mfalse: $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
exists_in_world: mu > $i > $o ).
thf(func_def_16,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_17,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_18,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_19,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_29,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_33,type,
rel_s4: $i > $i > $o ).
thf(func_def_34,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_35,type,
mdia_s4: ( $i > $o ) > $i > $o ).
thf(func_def_36,type,
true: $i > $o ).
thf(func_def_37,type,
lt: mu > mu > $i > $o ).
thf(func_def_38,type,
geq: mu > mu > $i > $o ).
thf(func_def_39,type,
gt: mu > mu > $i > $o ).
thf(func_def_40,type,
leq: mu > mu > $i > $o ).
thf(func_def_41,type,
uniform_int_rnd: mu > mu > mu ).
thf(func_def_42,type,
tptp_const_array1: mu > mu > mu ).
thf(func_def_43,type,
dim: mu > mu > mu ).
thf(func_def_44,type,
tptp_const_array2: mu > mu > mu > mu ).
thf(func_def_45,type,
inv: mu > mu ).
thf(func_def_46,type,
tptp_msub: mu > mu > mu ).
thf(func_def_47,type,
trans: mu > mu ).
thf(func_def_48,type,
tptp_mmul: mu > mu > mu ).
thf(func_def_49,type,
tptp_madd: mu > mu > mu ).
thf(func_def_50,type,
sum: mu > mu > mu > mu ).
thf(func_def_51,type,
tptp_float_0_0: mu ).
thf(func_def_52,type,
plus: mu > mu > mu ).
thf(func_def_53,type,
pred: mu > mu ).
thf(func_def_54,type,
tptp_update3: mu > mu > mu > mu > mu ).
thf(func_def_55,type,
tptp_update2: mu > mu > mu > mu ).
thf(func_def_56,type,
def: mu ).
thf(func_def_57,type,
z_defuse: mu ).
thf(func_def_58,type,
minus: mu > mu > mu ).
thf(func_def_59,type,
pv5: mu ).
thf(func_def_60,type,
xinit_noise_defuse: mu ).
thf(func_def_61,type,
xinit_mean_defuse: mu ).
thf(func_def_62,type,
xinit_defuse: mu ).
thf(func_def_63,type,
u_defuse: mu ).
thf(func_def_64,type,
a_select3: mu > mu > mu > mu ).
thf(func_def_65,type,
sigma_defuse: mu ).
thf(func_def_66,type,
use: mu ).
thf(func_def_67,type,
rho_defuse: mu ).
thf(func_def_68,type,
a_select2: mu > mu > mu ).
thf(func_def_69,type,
tptp_minus_1: mu ).
thf(func_def_70,type,
n999: mu ).
thf(func_def_71,type,
n4: mu ).
thf(func_def_72,type,
n5: mu ).
thf(func_def_73,type,
n1: mu ).
thf(func_def_74,type,
n2: mu ).
thf(func_def_75,type,
n3: mu ).
thf(func_def_76,type,
n0: mu ).
thf(func_def_77,type,
succ: mu > mu ).
thf(func_def_78,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_79,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_80,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_81,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_84,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_85,type,
vIMP: $o > $o > $o ).
thf(func_def_86,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_87,type,
vAND: $o > $o > $o ).
thf(func_def_88,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_89,type,
vNOT: $o > $o ).
thf(func_def_90,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
vOR: $o > $o > $o ).
thf(func_def_92,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_93,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_95,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_96,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
db11:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
db10:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
db12:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
db13:
!>[X0: $tType] : X0 ).
thf(func_def_102,type,
db14:
!>[X0: $tType] : X0 ).
thf(func_def_103,type,
db15:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
db16:
!>[X0: $tType] : X0 ).
thf(func_def_105,type,
db17:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
db18:
!>[X0: $tType] : X0 ).
thf(func_def_107,type,
db19:
!>[X0: $tType] : X0 ).
thf(func_def_108,type,
db20:
!>[X0: $tType] : X0 ).
thf(func_def_109,type,
db21:
!>[X0: $tType] : X0 ).
thf(func_def_110,type,
db22:
!>[X0: $tType] : X0 ).
thf(f2,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mnot) ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mor) ).
thf(f8,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) )
= mand ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mand) ).
thf(f9,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mimplies) ).
thf(f15,axiom,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mforall_ind) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax',mvalid) ).
thf(f32,axiom,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ~ ( rel_s4 @ X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax',mbox_s4) ).
thf(f214,conjecture,
( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X1 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X0 @ X1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X0 @ X1 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X2: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X3: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X3 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X2 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X3 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X2 @ X3 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X2 @ X3 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X4: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X5: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X4 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X5 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X4 @ X5 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X4 @ X5 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X6: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X7: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X6 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X7 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X6 @ X7 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X6 @ X7 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
thf(f215,negated_conjecture,
~ ( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X1 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X0 @ X1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X0 @ X1 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X2: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X3: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X3 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X2 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X3 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X2 @ X3 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X2 @ X3 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X4: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X5: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X4 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X5 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X4 @ X5 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X4 @ X5 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X6: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X7: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X6 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X7 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X6 @ X7 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X6 @ X7 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f214]) ).
thf(f297,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f3]) ).
thf(f298,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f297]) ).
thf(f305,plain,
~ ( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X1 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X0 @ X1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X0 @ X1 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X2: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X3: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X2 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X3 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X2 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X3 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X2 @ X3 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X2 @ X3 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X4: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X5: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X4 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X5 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X4 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X5 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X4 @ X5 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X4 @ X5 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X6: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X7: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X6 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ X7 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ X6 @ n2 ) ) @ ( mbox_s4 @ ( leq @ X7 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ X6 @ X7 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ X6 @ X7 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f215]) ).
thf(f306,plain,
( $true
= ( ~ ( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f305]) ).
thf(f393,plain,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ~ ( rel_s4 @ X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f394,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f393]) ).
thf(f432,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f433,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f432]) ).
thf(f448,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f524,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f525,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f524]) ).
thf(f535,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f556,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f2]) ).
thf(f557,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f556]) ).
thf(f637,plain,
( $true
= ( ~ ( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv5 ) )
@ ( mand @ ( mbox_s4 @ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( mand
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ pv5 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [Y0: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [Y1: mu] : ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y0 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ Y1 ) ) @ ( mand @ ( mbox_s4 @ ( leq @ Y0 @ n2 ) ) @ ( mbox_s4 @ ( leq @ Y1 @ ( minus @ pv5 @ n1 ) ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) ) @ ( mbox_s4 @ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f306]) ).
thf(f659,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f298]) ).
thf(f711,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f557]) ).
thf(f719,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f525]) ).
thf(f725,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f433]) ).
thf(f727,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f535]) ).
thf(f804,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f394]) ).
thf(f812,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f448]) ).
thf(f851,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f727,f711,f659,f711,f711]) ).
thf(f852,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f812,f659,f711]) ).
thf(f862,plain,
( $true
= ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( leq @ n0 @ pv5 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y0 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y1 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y0 @ n2 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y1 @ pv5 ) ) ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y0 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y1 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y0 @ n2 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y1 @ ( minus @ pv5 @ n1 ) ) ) ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( leq @ n0 @ pv5 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( leq @ pv5 @ ( minus @ n999 @ n1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y0 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y1 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y0 @ n2 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y1 @ pv5 ) ) ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y0 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ n0 @ Y1 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y0 @ n2 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( leq @ Y1 @ ( minus @ pv5 @ n1 ) ) ) ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ u_defuse @ Y0 @ Y1 ) @ use ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
@ ( qmltpeq @ ( a_select3 @ z_defuse @ Y0 @ Y1 ) @ use ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f637,f719,f804,f852,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f725,f804,f725,f804,f852,f851,f804,f851,f804,f851,f804,f804,f851,f804,f804,f804,f725,f804,f725,f804,f852,f851,f804,f851,f804,f851,f804,f804,f851,f804,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f851,f804,f725,f804,f725,f804,f852,f851,f804,f851,f804,f851,f804,f804,f851,f804,f804,f804,f725,f804,f725,f804,f852,f851,f804,f851,f804,f851,f804,f804,f851,f804,f804]) ).
thf(f1019,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( leq @ n0 @ pv5 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( leq @ pv5 @ ( minus @ n999 @ n1 ) @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y3 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y5 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y3 @ n2 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y5 @ pv5 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ z_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) )
| ~ ( rel_s4 @ Y4 @ Y6 ) ) ) ) )
| ~ ( rel_s4 @ Y2 @ Y4 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y3 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y5 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y3 @ n2 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y5 @ ( minus @ pv5 @ n1 ) @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ z_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) )
| ~ ( rel_s4 @ Y4 @ Y6 ) ) ) ) )
| ~ ( rel_s4 @ Y2 @ Y4 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ rho_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ rho_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ rho_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ sigma_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ n0 @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ n1 @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ n2 @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_mean_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n0 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n1 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n2 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n3 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n4 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( a_select2 @ xinit_noise_defuse @ n5 ) @ use @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( leq @ n0 @ pv5 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( leq @ pv5 @ ( minus @ n999 @ n1 ) @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y3 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y5 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y3 @ n2 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y5 @ pv5 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ z_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) )
| ~ ( rel_s4 @ Y4 @ Y6 ) ) ) ) )
| ~ ( rel_s4 @ Y2 @ Y4 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y3 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ n0 @ Y5 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y3 @ n2 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( leq @ Y5 @ ( minus @ pv5 @ n1 ) @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ u_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( qmltpeq @ ( a_select3 @ z_defuse @ Y3 @ Y5 ) @ use @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) ) )
| ~ ( rel_s4 @ Y4 @ Y6 ) ) ) ) )
| ~ ( rel_s4 @ Y2 @ Y4 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f862]) ).
thf(f1020,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( $true
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f1019]) ).
thf(f1021,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : $true ) ) )
= $true ),
inference(boolean_simplification,[],[f1020]) ).
thf(f1247,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : $true ) )
= $false ),
inference(not_proxy_clausification,[],[f1021]) ).
thf(f1248,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : $true )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f1247]) ).
thf(f1249,plain,
( ( !! @ $i
@ ^ [Y0: $i] : $true )
= $false ),
inference(beta-eta_normalization,[],[f1248]) ).
thf(f1250,plain,
( ( ^ [Y0: $i] : $true
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f1249]) ).
thf(f1251,plain,
$true = $false,
inference(beta-eta_normalization,[],[f1250]) ).
thf(f1252,plain,
$false,
inference(trivial_inequality_removal,[],[f1251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV097^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n005.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 16:00:17 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.56/0.40 % (1845758)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.56/0.40 % (1845769)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.56/0.40 % (1845769)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.40 % (1845769)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2045493254:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.56/0.40 % (1845763)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3566030781:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.56/0.40 % (1845764)lrs+10_16_si=on:nwc=1.5:random_seed=1421494472:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.56/0.40 % (1845765)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=79321904:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.56/0.40 % (1845768)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2089349056:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.56/0.40 % (1845767)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1828738725:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.56/0.40 % (1845766)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1752761233:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.56/0.40 % (1845765)Instruction limit reached!
% 0.56/0.40 % (1845765)------------------------------
% 0.56/0.40 % (1845765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1845765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1845765)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1845765)Termination reason: Instruction limit
% 0.56/0.40 % (1845765)Termination phase: shuffling
% 0.56/0.40 % (1845765)Time elapsed: 0.002 s
% 0.56/0.40 % (1845765)Peak memory usage: 10 MB
% 0.56/0.40 % (1845765)Instructions burned: 4 (million)
% 0.56/0.40 % (1845764)Instruction limit reached!
% 0.56/0.40 % (1845764)------------------------------
% 0.56/0.40 % (1845764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1845764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1845764)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1845764)Termination reason: Instruction limit
% 0.56/0.40 % (1845764)Termination phase: shuffling
% 0.56/0.40 % (1845764)Time elapsed: 0.007 s
% 0.56/0.40 % (1845764)Peak memory usage: 10 MB
% 0.56/0.40 % (1845764)Instructions burned: 18 (million)
% 0.56/0.40 % (1845767)Instruction limit reached!
% 0.56/0.40 % (1845767)------------------------------
% 0.56/0.40 % (1845767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1845767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1845767)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1845767)Termination reason: Instruction limit
% 0.56/0.40 % (1845767)Termination phase: shuffling
% 0.56/0.40 % (1845767)Time elapsed: 0.010 s
% 0.56/0.40 % (1845767)Peak memory usage: 10 MB
% 0.56/0.40 % (1845767)Instructions burned: 25 (million)
% 0.56/0.40 % (1845777)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3558811915:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.40 % (1845777)Instruction limit reached!
% 0.56/0.40 % (1845777)------------------------------
% 0.56/0.40 % (1845777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.40 % (1845777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.40 % (1845777)CaDiCaL version: 2.1.3
% 0.56/0.40 % (1845777)Termination reason: Instruction limit
% 0.56/0.40 % (1845777)Termination phase: shuffling
% 0.56/0.40 % (1845777)Time elapsed: 0.002 s
% 0.56/0.40 % (1845777)Peak memory usage: 10 MB
% 0.56/0.40 % (1845777)Instructions burned: 4 (million)
% 0.56/0.40 % (1845769)Instruction limit reached!
% 0.56/0.40 % (1845769)------------------------------
% 0.56/0.40 % (1845769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (1845769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (1845769)CaDiCaL version: 2.1.3
% 0.56/0.43 % (1845769)Termination reason: Instruction limit
% 0.56/0.43 % (1845769)Termination phase: Property scanning
% 0.56/0.43 % (1845769)Time elapsed: 0.032 s
% 0.56/0.43 % (1845769)Peak memory usage: 12 MB
% 0.56/0.43 % (1845769)Instructions burned: 159 (million)
% 0.56/0.43 % (1845779)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.43 % (1845778)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4031882005:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.56/0.43 % (1845768)Instruction limit reached!
% 0.56/0.43 % (1845768)------------------------------
% 0.56/0.43 % (1845768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (1845768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (1845768)CaDiCaL version: 2.1.3
% 0.56/0.43 % (1845768)Termination reason: Instruction limit
% 0.56/0.43 % (1845768)Termination phase: Property scanning
% 0.56/0.43 % (1845768)Time elapsed: 0.029 s
% 0.56/0.43 % (1845768)Peak memory usage: 10 MB
% 0.56/0.43 % (1845768)Instructions burned: 76 (million)
% 0.56/0.43 % (1845779)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2282052111:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.43 % (1845778)Instruction limit reached!
% 0.56/0.43 % (1845778)------------------------------
% 0.56/0.43 % (1845778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (1845778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (1845778)CaDiCaL version: 2.1.3
% 0.56/0.43 % (1845778)Termination reason: Instruction limit
% 0.56/0.43 % (1845778)Termination phase: shuffling
% 0.56/0.43 % (1845778)Time elapsed: 0.002 s
% 0.56/0.43 % (1845778)Peak memory usage: 10 MB
% 0.56/0.43 % (1845778)Instructions burned: 5 (million)
% 0.56/0.43 % (1845779)Instruction limit reached!
% 0.56/0.43 % (1845779)------------------------------
% 0.56/0.43 % (1845779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (1845779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (1845779)CaDiCaL version: 2.1.3
% 0.56/0.43 % (1845779)Termination reason: Instruction limit
% 0.56/0.43 % (1845779)Termination phase: shuffling
% 0.56/0.43 % (1845779)Time elapsed: 0.004 s
% 0.56/0.43 % (1845779)Peak memory usage: 10 MB
% 0.56/0.43 % (1845779)Instructions burned: 9 (million)
% 0.56/0.43 % (1845763)Instruction limit reached!
% 0.56/0.43 % (1845763)------------------------------
% 0.56/0.43 % (1845763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (1845763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (1845763)CaDiCaL version: 2.1.3
% 0.56/0.43 % (1845763)Termination reason: Instruction limit
% 0.56/0.43 % (1845763)Termination phase: Property scanning
% 0.56/0.43 % (1845763)Time elapsed: 0.035 s
% 0.56/0.43 % (1845763)Peak memory usage: 11 MB
% 0.56/0.43 % (1845763)Instructions burned: 88 (million)
% 0.56/0.43 % (1845783)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.56/0.43 % (1845783)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.43 % (1845783)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3177410479:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.56/0.43 % (1845781)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2170512142:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.56/0.43 % (1845783)Instruction limit reached!
% 0.56/0.43 % (1845783)------------------------------
% 0.56/0.43 % (1845783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.43 % (1845783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.43 % (1845783)CaDiCaL version: 2.1.3
% 0.56/0.43 % (1845783)Termination reason: Instruction limit
% 0.56/0.45 % (1845783)Termination phase: shuffling
% 0.56/0.45 % (1845783)Time elapsed: 0.006 s
% 0.56/0.45 % (1845783)Peak memory usage: 10 MB
% 0.56/0.45 % (1845783)Instructions burned: 29 (million)
% 0.56/0.45 % (1845784)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2593242180:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.56/0.45 % (1845781)Instruction limit reached!
% 0.56/0.45 % (1845781)------------------------------
% 0.56/0.45 % (1845781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1845781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1845781)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1845781)Termination reason: Instruction limit
% 0.56/0.45 % (1845781)Termination phase: shuffling
% 0.56/0.45 % (1845781)Time elapsed: 0.005 s
% 0.56/0.45 % (1845781)Peak memory usage: 10 MB
% 0.56/0.45 % (1845781)Instructions burned: 12 (million)
% 0.56/0.45 % (1845786)lrs+10_1_si=on:cs=on:random_seed=3259640273:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.56/0.45 % (1845787)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.56/0.45 % (1845787)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=778678135:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.45 % (1845786)Instruction limit reached!
% 0.56/0.45 % (1845786)------------------------------
% 0.56/0.45 % (1845786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1845786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1845786)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1845786)Termination reason: Instruction limit
% 0.56/0.45 % (1845786)Termination phase: shuffling
% 0.56/0.45 % (1845786)Time elapsed: 0.004 s
% 0.56/0.45 % (1845786)Peak memory usage: 10 MB
% 0.56/0.45 % (1845786)Instructions burned: 10 (million)
% 0.56/0.45 % (1845788)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4277250070:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.56/0.45 % (1845787)Instruction limit reached!
% 0.56/0.45 % (1845787)------------------------------
% 0.56/0.45 % (1845787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1845787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1845787)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1845787)Termination reason: Instruction limit
% 0.56/0.45 % (1845787)Termination phase: shuffling
% 0.56/0.45 % (1845787)Time elapsed: 0.002 s
% 0.56/0.45 % (1845787)Peak memory usage: 10 MB
% 0.56/0.45 % (1845787)Instructions burned: 4 (million)
% 0.56/0.45 % (1845791)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2175021759:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.56/0.45 % (1845794)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2367324:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.56/0.45 % (1845788)Instruction limit reached!
% 0.56/0.45 % (1845788)------------------------------
% 0.56/0.45 % (1845788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1845788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.45 % (1845788)CaDiCaL version: 2.1.3
% 0.56/0.45 % (1845788)Termination reason: Instruction limit
% 0.56/0.45 % (1845788)Termination phase: shuffling
% 0.56/0.45 % (1845788)Time elapsed: 0.016 s
% 0.56/0.45 % (1845788)Peak memory usage: 10 MB
% 0.56/0.45 % (1845788)Instructions burned: 41 (million)
% 0.56/0.45 % (1845797)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3212381316:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.56/0.45 % (1845799)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1941464509:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.56/0.45 % (1845797)Instruction limit reached!
% 0.56/0.45 % (1845797)------------------------------
% 0.56/0.45 % (1845797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.45 % (1845797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (1845797)CaDiCaL version: 2.1.3
% 1.26/0.49 % (1845797)Termination reason: Instruction limit
% 1.26/0.49 % (1845797)Termination phase: shuffling
% 1.26/0.49 % (1845797)Time elapsed: 0.006 s
% 1.26/0.49 % (1845797)Peak memory usage: 10 MB
% 1.26/0.49 % (1845797)Instructions burned: 15 (million)
% 1.26/0.49 % (1845794)Instruction limit reached!
% 1.26/0.49 % (1845794)------------------------------
% 1.26/0.49 % (1845794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (1845794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (1845794)CaDiCaL version: 2.1.3
% 1.26/0.49 % (1845794)Termination reason: Instruction limit
% 1.26/0.49 % (1845794)Termination phase: shuffling
% 1.26/0.49 % (1845794)Time elapsed: 0.011 s
% 1.26/0.49 % (1845794)Peak memory usage: 10 MB
% 1.26/0.49 % (1845794)Instructions burned: 27 (million)
% 1.26/0.49 % (1845784)Instruction limit reached!
% 1.26/0.49 % (1845784)------------------------------
% 1.26/0.49 % (1845784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (1845784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (1845784)CaDiCaL version: 2.1.3
% 1.26/0.49 % (1845784)Termination reason: Instruction limit
% 1.26/0.49 % (1845784)Termination phase: Function definition elimination
% 1.26/0.49 % (1845784)Time elapsed: 0.035 s
% 1.26/0.49 % (1845784)Peak memory usage: 11 MB
% 1.26/0.49 % (1845784)Instructions burned: 86 (million)
% 1.26/0.49 % (1845791)Refutation not found, incomplete strategy
% 1.26/0.49 % (1845791)------------------------------
% 1.26/0.49 % (1845791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (1845791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (1845791)CaDiCaL version: 2.1.3
% 1.26/0.49 % (1845791)Termination reason: Refutation not found, incomplete strategy
% 1.26/0.49 % (1845791)Time elapsed: 0.029 s
% 1.26/0.49 % (1845791)Peak memory usage: 14 MB
% 1.26/0.49 % (1845791)Instructions burned: 128 (million)
% 1.26/0.49 % (1845791)------------------------------
% 1.26/0.49 % (1845791)------------------------------
% 1.26/0.49 % (1845801)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=530290935:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.49 % (1845801)Instruction limit reached!
% 1.26/0.49 % (1845801)------------------------------
% 1.26/0.49 % (1845801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (1845801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (1845801)CaDiCaL version: 2.1.3
% 1.26/0.49 % (1845801)Termination reason: Instruction limit
% 1.26/0.49 % (1845801)Termination phase: shuffling
% 1.26/0.49 % (1845801)Time elapsed: 0.006 s
% 1.26/0.49 % (1845801)Peak memory usage: 10 MB
% 1.26/0.49 % (1845801)Instructions burned: 15 (million)
% 1.26/0.49 % (1845807)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=855195327:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.26/0.49 % (1845804)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1767870281:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.26/0.49 % (1845805)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4078074134:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.26/0.49 % (1845804)Instruction limit reached!
% 1.26/0.49 % (1845804)------------------------------
% 1.26/0.49 % (1845804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (1845804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.49 % (1845804)CaDiCaL version: 2.1.3
% 1.26/0.49 % (1845804)Termination reason: Instruction limit
% 1.26/0.49 % (1845804)Termination phase: shuffling
% 1.26/0.49 % (1845804)Time elapsed: 0.002 s
% 1.26/0.49 % (1845804)Peak memory usage: 10 MB
% 1.26/0.49 % (1845804)Instructions burned: 4 (million)
% 1.26/0.49 % (1845806)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=671077057:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.26/0.49 % (1845807)Instruction limit reached!
% 1.26/0.49 % (1845807)------------------------------
% 1.26/0.49 % (1845807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.49 % (1845807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.55 % (1845807)CaDiCaL version: 2.1.3
% 1.26/0.55 % (1845807)Termination reason: Instruction limit
% 1.26/0.55 % (1845807)Termination phase: Property scanning
% 1.26/0.55 % (1845807)Time elapsed: 0.013 s
% 1.26/0.55 % (1845807)Peak memory usage: 10 MB
% 1.26/0.55 % (1845807)Instructions burned: 63 (million)
% 1.26/0.55 % (1845805)Instruction limit reached!
% 1.26/0.55 % (1845805)------------------------------
% 1.26/0.55 % (1845805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.55 % (1845805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.55 % (1845805)CaDiCaL version: 2.1.3
% 1.26/0.55 % (1845805)Termination reason: Instruction limit
% 1.26/0.55 % (1845805)Termination phase: shuffling
% 1.26/0.55 % (1845805)Time elapsed: 0.011 s
% 1.26/0.55 % (1845805)Peak memory usage: 10 MB
% 1.26/0.55 % (1845805)Instructions burned: 28 (million)
% 1.26/0.55 % (1845810)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.26/0.55 % (1845810)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.26/0.55 % (1845806)Instruction limit reached!
% 1.26/0.55 % (1845806)------------------------------
% 1.26/0.55 % (1845806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.55 % (1845806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.55 % (1845806)CaDiCaL version: 2.1.3
% 1.26/0.55 % (1845806)Termination reason: Instruction limit
% 1.26/0.55 % (1845806)Termination phase: shuffling
% 1.26/0.55 % (1845806)Time elapsed: 0.009 s
% 1.26/0.55 % (1845806)Peak memory usage: 10 MB
% 1.26/0.55 % (1845806)Instructions burned: 23 (million)
% 1.26/0.55 % (1845810)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=4239729910:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.55 % (1845813)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.26/0.55 % (1845815)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=286021130:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.26/0.55 % (1845813)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=4270389616:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.26/0.55 % (1845810)Instruction limit reached!
% 1.26/0.55 % (1845810)------------------------------
% 1.26/0.55 % (1845810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.55 % (1845810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.55 % (1845810)CaDiCaL version: 2.1.3
% 1.26/0.55 % (1845810)Termination reason: Instruction limit
% 1.26/0.55 % (1845810)Termination phase: shuffling
% 1.26/0.55 % (1845810)Time elapsed: 0.006 s
% 1.26/0.55 % (1845810)Peak memory usage: 10 MB
% 1.26/0.55 % (1845810)Instructions burned: 14 (million)
% 1.26/0.55 % (1845813)Instruction limit reached!
% 1.26/0.55 % (1845813)------------------------------
% 1.26/0.55 % (1845813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.55 % (1845813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.55 % (1845813)CaDiCaL version: 2.1.3
% 1.26/0.55 % (1845813)Termination reason: Instruction limit
% 1.26/0.55 % (1845813)Termination phase: shuffling
% 1.26/0.55 % (1845813)Time elapsed: 0.004 s
% 1.26/0.55 % (1845813)Peak memory usage: 10 MB
% 1.26/0.55 % (1845813)Instructions burned: 8 (million)
% 1.26/0.55 % (1845815)Instruction limit reached!
% 1.26/0.55 % (1845815)------------------------------
% 1.26/0.55 % (1845815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.55 % (1845815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.55 % (1845815)CaDiCaL version: 2.1.3
% 1.26/0.55 % (1845815)Termination reason: Instruction limit
% 1.26/0.55 % (1845815)Termination phase: Property scanning
% 1.26/0.55 % (1845815)Time elapsed: 0.007 s
% 1.26/0.55 % (1845815)Peak memory usage: 11 MB
% 1.26/0.55 % (1845815)Instructions burned: 32 (million)
% 1.26/0.55 % (1845816)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1141828355:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.96/0.61 % (1845817)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4021703913:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.96/0.61 % (1845816)Instruction limit reached!
% 1.96/0.61 % (1845816)------------------------------
% 1.96/0.61 % (1845816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.61 % (1845816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.61 % (1845816)CaDiCaL version: 2.1.3
% 1.96/0.61 % (1845816)Termination reason: Instruction limit
% 1.96/0.61 % (1845816)Termination phase: shuffling
% 1.96/0.61 % (1845816)Time elapsed: 0.003 s
% 1.96/0.61 % (1845816)Peak memory usage: 10 MB
% 1.96/0.61 % (1845816)Instructions burned: 7 (million)
% 1.96/0.61 % (1845823)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=877971615:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.96/0.61 % (1845821)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1212684812:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.96/0.61 % (1845817)Instruction limit reached!
% 1.96/0.61 % (1845817)------------------------------
% 1.96/0.61 % (1845817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.61 % (1845817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.61 % (1845817)CaDiCaL version: 2.1.3
% 1.96/0.61 % (1845817)Termination reason: Instruction limit
% 1.96/0.61 % (1845817)Termination phase: shuffling
% 1.96/0.61 % (1845817)Time elapsed: 0.010 s
% 1.96/0.61 % (1845817)Peak memory usage: 10 MB
% 1.96/0.61 % (1845817)Instructions burned: 25 (million)
% 1.96/0.61 % (1845822)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=954736653:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.96/0.61 % (1845821)Instruction limit reached!
% 1.96/0.61 % (1845821)------------------------------
% 1.96/0.61 % (1845821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.61 % (1845821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.61 % (1845821)CaDiCaL version: 2.1.3
% 1.96/0.61 % (1845821)Termination reason: Instruction limit
% 1.96/0.61 % (1845821)Termination phase: shuffling
% 1.96/0.61 % (1845821)Time elapsed: 0.009 s
% 1.96/0.61 % (1845821)Peak memory usage: 11 MB
% 1.96/0.61 % (1845821)Instructions burned: 22 (million)
% 1.96/0.61 % (1845826)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3268645664:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.96/0.61 % (1845829)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2179574933:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.96/0.61 % (1845831)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.96/0.61 % (1845823)Instruction limit reached!
% 1.96/0.61 % (1845823)------------------------------
% 1.96/0.61 % (1845823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.61 % (1845823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.61 % (1845823)CaDiCaL version: 2.1.3
% 1.96/0.61 % (1845823)Termination reason: Instruction limit
% 1.96/0.61 % (1845823)Termination phase: Property scanning
% 1.96/0.61 % (1845823)Time elapsed: 0.029 s
% 1.96/0.61 % (1845823)Peak memory usage: 12 MB
% 1.96/0.61 % (1845823)Instructions burned: 143 (million)
% 1.96/0.61 % (1845831)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2434216271:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.96/0.61 % (1845831)Instruction limit reached!
% 1.96/0.61 % (1845831)------------------------------
% 1.96/0.61 % (1845831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.96/0.61 % (1845831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.96/0.61 % (1845831)CaDiCaL version: 2.1.3
% 1.96/0.61 % (1845831)Termination reason: Instruction limit
% 1.96/0.61 % (1845831)Termination phase: shuffling
% 1.96/0.61 % (1845831)Time elapsed: 0.004 s
% 1.96/0.61 % (1845831)Peak memory usage: 10 MB
% 1.96/0.61 % (1845831)Instructions burned: 9 (million)
% 2.30/0.67 % (1845829)Instruction limit reached!
% 2.30/0.67 % (1845829)------------------------------
% 2.30/0.67 % (1845829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.67 % (1845829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.67 % (1845834)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3523718357:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.30/0.67 % (1845829)CaDiCaL version: 2.1.3
% 2.30/0.67 % (1845829)Termination reason: Instruction limit
% 2.30/0.67 % (1845829)Termination phase: shuffling
% 2.30/0.67 % (1845829)Time elapsed: 0.016 s
% 2.30/0.67 % (1845829)Peak memory usage: 11 MB
% 2.30/0.67 % (1845829)Instructions burned: 42 (million)
% 2.30/0.67 % (1845838)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.30/0.67 % (1845836)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2339481193:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.30/0.67 % (1845838)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4285459105:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.30/0.67 % (1845838)Instruction limit reached!
% 2.30/0.67 % (1845838)------------------------------
% 2.30/0.67 % (1845838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.67 % (1845838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.67 % (1845838)CaDiCaL version: 2.1.3
% 2.30/0.67 % (1845838)Termination reason: Instruction limit
% 2.30/0.67 % (1845838)Termination phase: shuffling
% 2.30/0.67 % (1845838)Time elapsed: 0.003 s
% 2.30/0.67 % (1845838)Peak memory usage: 10 MB
% 2.30/0.67 % (1845838)Instructions burned: 7 (million)
% 2.30/0.67 % (1845799)Instruction limit reached!
% 2.30/0.67 % (1845799)------------------------------
% 2.30/0.67 % (1845799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.67 % (1845799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.67 % (1845799)CaDiCaL version: 2.1.3
% 2.30/0.67 % (1845799)Termination reason: Instruction limit
% 2.30/0.67 % (1845799)Termination phase: Saturation
% 2.30/0.67 % (1845799)Time elapsed: 0.131 s
% 2.30/0.67 % (1845799)Peak memory usage: 14 MB
% 2.30/0.67 % (1845799)Instructions burned: 329 (million)
% 2.30/0.67 % (1845834)Instruction limit reached!
% 2.30/0.67 % (1845834)------------------------------
% 2.30/0.67 % (1845834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.67 % (1845834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.67 % (1845834)CaDiCaL version: 2.1.3
% 2.30/0.67 % (1845834)Termination reason: Instruction limit
% 2.30/0.67 % (1845834)Termination phase: Saturation
% 2.30/0.67 % (1845834)Time elapsed: 0.040 s
% 2.30/0.67 % (1845834)Peak memory usage: 13 MB
% 2.30/0.67 % (1845834)Instructions burned: 182 (million)
% 2.30/0.67 % (1845841)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=990687921:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.30/0.67 % (1845842)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=773831546:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.30/0.67 % (1845843)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=397594768:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.30/0.67 % (1845841)Instruction limit reached!
% 2.30/0.67 % (1845841)------------------------------
% 2.30/0.67 % (1845841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.30/0.67 % (1845841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.30/0.67 % (1845841)CaDiCaL version: 2.1.3
% 2.30/0.67 % (1845841)Termination reason: Instruction limit
% 2.30/0.67 % (1845841)Termination phase: shuffling
% 2.30/0.67 % (1845841)Time elapsed: 0.009 s
% 2.30/0.67 % (1845841)Peak memory usage: 10 MB
% 2.30/0.67 % (1845841)Instructions burned: 22 (million)
% 2.30/0.67 % (1845826)Instruction limit reached!
% 2.30/0.67 % (1845826)------------------------------
% 2.30/0.67 % (1845826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.73 % (1845826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.73 % (1845826)CaDiCaL version: 2.1.3
% 2.76/0.73 % (1845826)Termination reason: Instruction limit
% 2.76/0.73 % (1845826)Termination phase: Saturation
% 2.76/0.73 % (1845826)Time elapsed: 0.080 s
% 2.76/0.73 % (1845826)Peak memory usage: 15 MB
% 2.76/0.73 % (1845826)Instructions burned: 193 (million)
% 2.76/0.73 % (1845842)Instruction limit reached!
% 2.76/0.73 % (1845842)------------------------------
% 2.76/0.73 % (1845842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.73 % (1845842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.73 % (1845842)CaDiCaL version: 2.1.3
% 2.76/0.73 % (1845842)Termination reason: Instruction limit
% 2.76/0.73 % (1845842)Termination phase: shuffling
% 2.76/0.73 % (1845842)Time elapsed: 0.009 s
% 2.76/0.73 % (1845842)Peak memory usage: 10 MB
% 2.76/0.73 % (1845842)Instructions burned: 20 (million)
% 2.76/0.73 % (1845847)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=493063769:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.76/0.73 % (1845848)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=4235371477:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.76/0.73 % (1845849)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3347565172:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.76/0.73 % (1845836)Instruction limit reached!
% 2.76/0.73 % (1845836)------------------------------
% 2.76/0.73 % (1845836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.73 % (1845836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.73 % (1845836)CaDiCaL version: 2.1.3
% 2.76/0.73 % (1845836)Termination reason: Instruction limit
% 2.76/0.73 % (1845836)Termination phase: Saturation
% 2.76/0.73 % (1845836)Time elapsed: 0.067 s
% 2.76/0.73 % (1845836)Peak memory usage: 12 MB
% 2.76/0.73 % (1845836)Instructions burned: 169 (million)
% 2.76/0.73 % (1845848)Instruction limit reached!
% 2.76/0.73 % (1845848)------------------------------
% 2.76/0.73 % (1845848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.73 % (1845848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.73 % (1845848)CaDiCaL version: 2.1.3
% 2.76/0.73 % (1845848)Termination reason: Instruction limit
% 2.76/0.73 % (1845848)Termination phase: shuffling
% 2.76/0.73 % (1845848)Time elapsed: 0.018 s
% 2.76/0.73 % (1845848)Peak memory usage: 11 MB
% 2.76/0.73 % (1845848)Instructions burned: 46 (million)
% 2.76/0.73 % (1845853)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3137309384:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.76/0.73 % (1845853)Instruction limit reached!
% 2.76/0.73 % (1845853)------------------------------
% 2.76/0.73 % (1845853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.73 % (1845853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.73 % (1845853)CaDiCaL version: 2.1.3
% 2.76/0.73 % (1845853)Termination reason: Instruction limit
% 2.76/0.73 % (1845853)Termination phase: shuffling
% 2.76/0.73 % (1845853)Time elapsed: 0.008 s
% 2.76/0.73 % (1845853)Peak memory usage: 10 MB
% 2.76/0.73 % (1845853)Instructions burned: 23 (million)
% 2.76/0.73 % (1845854)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.76/0.73 % (1845854)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=248600017:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.76/0.73 % (1845843)Instruction limit reached!
% 2.76/0.73 % (1845843)------------------------------
% 2.76/0.73 % (1845843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.73 % (1845843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.73 % (1845843)CaDiCaL version: 2.1.3
% 2.76/0.73 % (1845843)Termination reason: Instruction limit
% 3.09/0.85 % (1845843)Termination phase: Saturation
% 3.09/0.85 % (1845843)Time elapsed: 0.066 s
% 3.09/0.85 % (1845843)Peak memory usage: 14 MB
% 3.09/0.85 % (1845843)Instructions burned: 316 (million)
% 3.09/0.85 % (1845856)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1499777628:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.09/0.85 % (1845858)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3906407633:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.09/0.85 % (1845856)Instruction limit reached!
% 3.09/0.85 % (1845856)------------------------------
% 3.09/0.85 % (1845856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1845856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1845856)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1845856)Termination reason: Instruction limit
% 3.09/0.85 % (1845856)Termination phase: shuffling
% 3.09/0.85 % (1845856)Time elapsed: 0.006 s
% 3.09/0.85 % (1845856)Peak memory usage: 10 MB
% 3.09/0.85 % (1845856)Instructions burned: 15 (million)
% 3.09/0.85 % (1845766)Instruction limit reached!
% 3.09/0.85 % (1845766)------------------------------
% 3.09/0.85 % (1845766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1845766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1845766)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1845766)Termination reason: Instruction limit
% 3.09/0.85 % (1845766)Termination phase: Saturation
% 3.09/0.85 % (1845766)Time elapsed: 0.317 s
% 3.09/0.85 % (1845766)Peak memory usage: 19 MB
% 3.09/0.85 % (1845766)Instructions burned: 636 (million)
% 3.09/0.85 % (1845861)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3145197199:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.09/0.85 % (1845861)Instruction limit reached!
% 3.09/0.85 % (1845861)------------------------------
% 3.09/0.85 % (1845861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1845861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1845861)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1845861)Termination reason: Instruction limit
% 3.09/0.85 % (1845861)Termination phase: Property scanning
% 3.09/0.85 % (1845861)Time elapsed: 0.010 s
% 3.09/0.85 % (1845861)Peak memory usage: 11 MB
% 3.09/0.85 % (1845861)Instructions burned: 53 (million)
% 3.09/0.85 % (1845849)Refutation not found, incomplete strategy
% 3.09/0.85 % (1845849)------------------------------
% 3.09/0.85 % (1845849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1845849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1845849)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1845849)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.85 % (1845849)Time elapsed: 0.081 s
% 3.09/0.85 % (1845849)Peak memory usage: 15 MB
% 3.09/0.85 % (1845849)Instructions burned: 199 (million)
% 3.09/0.85 % (1845849)------------------------------
% 3.09/0.85 % (1845849)------------------------------
% 3.09/0.85 % (1845862)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=916322442:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.09/0.85 % (1845858)Instruction limit reached!
% 3.09/0.85 % (1845858)------------------------------
% 3.09/0.85 % (1845858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1845858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.85 % (1845858)CaDiCaL version: 2.1.3
% 3.09/0.85 % (1845858)Termination reason: Instruction limit
% 3.09/0.85 % (1845858)Termination phase: SInE selection
% 3.09/0.85 % (1845858)Time elapsed: 0.026 s
% 3.09/0.85 % (1845858)Peak memory usage: 11 MB
% 3.09/0.85 % (1845858)Instructions burned: 68 (million)
% 3.09/0.85 % (1845864)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1579458339:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.09/0.85 % (1845862)Instruction limit reached!
% 3.09/0.85 % (1845862)------------------------------
% 3.09/0.85 % (1845862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.85 % (1845862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845862)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845862)Termination reason: Instruction limit
% 3.09/0.88 % (1845862)Termination phase: Property scanning
% 3.09/0.88 % (1845862)Time elapsed: 0.014 s
% 3.09/0.88 % (1845862)Peak memory usage: 10 MB
% 3.09/0.88 % (1845862)Instructions burned: 33 (million)
% 3.09/0.88 % (1845866)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3651736903:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.09/0.88 % (1845867)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1527357331:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.09/0.88 % (1845869)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.09/0.88 % (1845854)Instruction limit reached!
% 3.09/0.88 % (1845854)------------------------------
% 3.09/0.88 % (1845854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845854)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845854)Termination reason: Instruction limit
% 3.09/0.88 % (1845854)Termination phase: Property scanning
% 3.09/0.88 % (1845854)Time elapsed: 0.077 s
% 3.09/0.88 % (1845854)Peak memory usage: 11 MB
% 3.09/0.88 % (1845854)Instructions burned: 202 (million)
% 3.09/0.88 % (1845869)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1309105593:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.09/0.88 % (1845866)Instruction limit reached!
% 3.09/0.88 % (1845866)------------------------------
% 3.09/0.88 % (1845866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845866)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845866)Termination reason: Instruction limit
% 3.09/0.88 % (1845866)Termination phase: Property scanning
% 3.09/0.88 % (1845866)Time elapsed: 0.014 s
% 3.09/0.88 % (1845866)Peak memory usage: 10 MB
% 3.09/0.88 % (1845866)Instructions burned: 35 (million)
% 3.09/0.88 % (1845864)Instruction limit reached!
% 3.09/0.88 % (1845864)------------------------------
% 3.09/0.88 % (1845864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845864)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845864)Termination reason: Instruction limit
% 3.09/0.88 % (1845864)Termination phase: Saturation
% 3.09/0.88 % (1845864)Time elapsed: 0.029 s
% 3.09/0.88 % (1845864)Peak memory usage: 12 MB
% 3.09/0.88 % (1845864)Instructions burned: 141 (million)
% 3.09/0.88 % (1845867)Instruction limit reached!
% 3.09/0.88 % (1845867)------------------------------
% 3.09/0.88 % (1845867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845867)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845867)Termination reason: Instruction limit
% 3.09/0.88 % (1845867)Termination phase: Property scanning
% 3.09/0.88 % (1845867)Time elapsed: 0.026 s
% 3.09/0.88 % (1845867)Peak memory usage: 10 MB
% 3.09/0.88 % (1845867)Instructions burned: 69 (million)
% 3.09/0.88 % (1845875)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1107786754:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.09/0.88 % (1845872)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=396215684:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.09/0.88 % (1845874)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=500503363:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.09/0.88 % (1845877)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2463381358:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.09/0.88 % (1845875)Refutation not found, incomplete strategy
% 3.09/0.88 % (1845875)------------------------------
% 3.09/0.88 % (1845875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845875)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845875)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.88 % (1845875)Time elapsed: 0.027 s
% 3.09/0.88 % (1845875)Peak memory usage: 14 MB
% 3.09/0.88 % (1845875)Instructions burned: 120 (million)
% 3.09/0.88 % (1845875)------------------------------
% 3.09/0.88 % (1845875)------------------------------
% 3.09/0.88 % (1845881)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1012339722:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.09/0.88 % (1845874)Instruction limit reached!
% 3.09/0.88 % (1845874)------------------------------
% 3.09/0.88 % (1845874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845874)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845874)Termination reason: Instruction limit
% 3.09/0.88 % (1845874)Termination phase: Property scanning
% 3.09/0.88 % (1845874)Time elapsed: 0.037 s
% 3.09/0.88 % (1845874)Peak memory usage: 11 MB
% 3.09/0.88 % (1845874)Instructions burned: 96 (million)
% 3.09/0.88 % (1845869)Instruction limit reached!
% 3.09/0.88 % (1845869)------------------------------
% 3.09/0.88 % (1845869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845869)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845869)Termination reason: Instruction limit
% 3.09/0.88 % (1845869)Termination phase: Property scanning
% 3.09/0.88 % (1845869)Time elapsed: 0.071 s
% 3.09/0.88 % (1845869)Peak memory usage: 11 MB
% 3.09/0.88 % (1845869)Instructions burned: 180 (million)
% 3.09/0.88 % (1845883)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2852771582:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.09/0.88 % (1845884)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3317678350:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.09/0.88 % (1845884)Instruction limit reached!
% 3.09/0.88 % (1845884)------------------------------
% 3.09/0.88 % (1845884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845884)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845884)Termination reason: Instruction limit
% 3.09/0.88 % (1845884)Termination phase: Property scanning
% 3.09/0.88 % (1845884)Time elapsed: 0.018 s
% 3.09/0.88 % (1845884)Peak memory usage: 10 MB
% 3.09/0.88 % (1845884)Instructions burned: 45 (million)
% 3.09/0.88 % (1845887)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2575779854:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.09/0.88 % (1845872)Instruction limit reached!
% 3.09/0.88 % (1845872)------------------------------
% 3.09/0.88 % (1845872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845872)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845872)Termination reason: Instruction limit
% 3.09/0.88 % (1845872)Termination phase: Saturation
% 3.09/0.88 % (1845872)Time elapsed: 0.110 s
% 3.09/0.88 % (1845872)Peak memory usage: 15 MB
% 3.09/0.88 % (1845872)Instructions burned: 248 (million)
% 3.09/0.88 % (1845883)Instruction limit reached!
% 3.09/0.88 % (1845883)------------------------------
% 3.09/0.88 % (1845883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845883)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845883)Termination reason: Instruction limit
% 3.09/0.88 % (1845883)Termination phase: Property scanning
% 3.09/0.88 % (1845883)Time elapsed: 0.052 s
% 3.09/0.88 % (1845883)Peak memory usage: 11 MB
% 3.09/0.88 % (1845883)Instructions burned: 132 (million)
% 3.09/0.88 % (1845889)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=46997098:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.09/0.88 % (1845890)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=792275709:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.09/0.88 % (1845881)Instruction limit reached!
% 3.09/0.88 % (1845881)------------------------------
% 3.09/0.88 % (1845881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845881)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845881)Termination reason: Instruction limit
% 3.09/0.88 % (1845881)Termination phase: Saturation
% 3.09/0.88 % (1845881)Time elapsed: 0.110 s
% 3.09/0.88 % (1845881)Peak memory usage: 14 MB
% 3.09/0.88 % (1845881)Instructions burned: 517 (million)
% 3.09/0.88 % (1845893)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=2765635757:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.09/0.88 % (1845822) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1845758-1845822"...
% 3.09/0.88 % (1845890)Instruction limit reached!
% 3.09/0.88 % (1845890)------------------------------
% 3.09/0.88 % (1845890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845890)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845890)Termination reason: Instruction limit
% 3.09/0.88 % (1845890)Termination phase: Property scanning
% 3.09/0.88 % (1845890)Time elapsed: 0.037 s
% 3.09/0.88 % (1845890)Peak memory usage: 11 MB
% 3.09/0.88 % (1845890)Instructions burned: 96 (million)
% 3.09/0.88 % (1845893)Instruction limit reached!
% 3.09/0.88 % (1845893)------------------------------
% 3.09/0.88 % (1845893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (1845893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (1845893)CaDiCaL version: 2.1.3
% 3.09/0.88 % (1845893)Termination reason: Instruction limit
% 3.09/0.88 % (1845893)Termination phase: SInE selection
% 3.09/0.88 % (1845893)Time elapsed: 0.014 s
% 3.09/0.88 % (1845893)Peak memory usage: 11 MB
% 3.09/0.88 % (1845893)Instructions burned: 65 (million)
% 3.09/0.88 % (1845822)...printing done.
% 3.09/0.88 % (1845822)Refutation found. Thanks to Tanya!
% 3.09/0.88 % SZS status Theorem for theBenchmark
% 3.09/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 3.09/0.89 % (1845822)------------------------------
% 3.09/0.89 % (1845822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.89 % (1845822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.89 % (1845822)CaDiCaL version: 2.1.3
% 3.09/0.89 % (1845822)Termination reason: Refutation
% 3.09/0.89 % (1845822)Time elapsed: 0.416 s
% 3.09/0.89 % (1845822)Peak memory usage: 18 MB
% 3.09/0.89 % (1845822)Instructions burned: 1036 (million)
% 3.09/0.89 % (1845758)Success in time 0.618 s
% 3.09/0.89 % Vampire exiting
%------------------------------------------------------------------------------