%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV107^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 3.28s 1.02s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 8
% Syntax : Number of formulae : 85 ( 77 unt; 0 typ; 0 def)
% Number of atoms : 1510 ( 82 equ; 0 cnn)
% Maximal formula atoms : 37 ( 17 avg)
% Number of connectives : 4804 ( 634 ~; 615 |; 0 &;3166 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 113 ( 113 >; 0 *; 0 +; 0 <<)
% Number of symbols : 116 ( 112 usr; 24 con; 0-4 aty)
% ( 389 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 585 ( 571 ^; 14 !; 0 ?; 585 :)
% 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,
a_select3: mu > mu > mu > mu ).
thf(func_def_56,type,
tptp_update2: mu > mu > mu > mu ).
thf(func_def_57,type,
a_select2: mu > mu > mu ).
thf(func_def_58,type,
use: mu ).
thf(func_def_59,type,
def: mu ).
thf(func_def_60,type,
minus: mu > mu > mu ).
thf(func_def_61,type,
tptp_minus_1: mu ).
thf(func_def_62,type,
n999: mu ).
thf(func_def_63,type,
n4: mu ).
thf(func_def_64,type,
n5: mu ).
thf(func_def_65,type,
n6: mu ).
thf(func_def_66,type,
n1: mu ).
thf(func_def_67,type,
n2: mu ).
thf(func_def_68,type,
n3: mu ).
thf(func_def_69,type,
n0: mu ).
thf(func_def_70,type,
succ: mu > mu ).
thf(func_def_71,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_73,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_76,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_77,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_78,type,
vIMP: $o > $o > $o ).
thf(func_def_79,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_80,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_81,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_82,type,
vAND: $o > $o > $o ).
thf(func_def_83,type,
vNOT: $o > $o ).
thf(func_def_84,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_85,type,
vOR: $o > $o > $o ).
thf(func_def_86,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_87,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_88,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_89,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_90,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
db10:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
db11:
!>[X0: $tType] : X0 ).
thf(func_def_93,type,
db12:
!>[X0: $tType] : X0 ).
thf(func_def_94,type,
db13:
!>[X0: $tType] : X0 ).
thf(func_def_95,type,
db14:
!>[X0: $tType] : X0 ).
thf(func_def_96,type,
db15:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
db16:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
db17:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
db18:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
db19:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
db20:
!>[X0: $tType] : X0 ).
thf(func_def_102,type,
db21:
!>[X0: $tType] : X0 ).
thf(func_def_103,type,
db22:
!>[X0: $tType] : X0 ).
thf(func_def_113,type,
sK9: $i > mu ).
thf(f2,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).
thf(f3,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).
thf(f8,axiom,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mand) ).
thf(f9,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mimplies) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL013^5.ax',mbox_s4) ).
thf(f166,axiom,
mvalid @ ( mbox_s4 @ true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
thf(f217,conjecture,
mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ n2 @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0019) ).
thf(f218,negated_conjecture,
~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ n2 @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f217]) ).
thf(f282,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f283,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f282]) ).
thf(f296,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f319,plain,
mvalid @ ( mbox_s4 @ true ),
inference(rectify,[],[f166]) ).
thf(f320,plain,
( ( mvalid @ ( mbox_s4 @ true ) )
= $true ),
inference(fool_elimination,[],[f319]) ).
thf(f427,plain,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ~ ( rel_s4 @ X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f428,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f427]) ).
thf(f547,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f548,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f547]) ).
thf(f549,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f550,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f549]) ).
thf(f561,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f588,plain,
~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ n2 @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f218]) ).
thf(f589,plain,
( $true
= ( ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ n2 @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f588]) ).
thf(f648,plain,
( ( mvalid @ ( mbox_s4 @ true ) )
= $true ),
inference(cnf_transformation,[],[f320]) ).
thf(f708,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f550]) ).
thf(f734,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f428]) ).
thf(f767,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f283]) ).
thf(f769,plain,
( $true
= ( ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ n2 @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) ) @ ( mbox_s4 @ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) ) @ ( mbox_s4 @ true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f589]) ).
thf(f793,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f561]) ).
thf(f805,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f548]) ).
thf(f848,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f296]) ).
thf(f863,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,[],[f793,f708,f805,f708,f708]) ).
thf(f864,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,[],[f848,f805,f708]) ).
thf(f875,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ true ) ) ),
inference(definition_unfolding,[],[f648,f767,f734]) ).
thf(f958,plain,
( ( ~ ( ^ [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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) )
@ ( ^ [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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) )
@ ( ^ [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 ) ) )
@ ( geq @ n2 @ n0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) )
@ ( ^ [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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) )
@ ( ^ [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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) )
@ ( ^ [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] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( geq @ ( minus @ n6 @ n1 ) @ n0 ) )
@ ( ^ [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 ) ) )
@ ( geq @ ( minus @ n3 @ n1 ) @ n0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( geq @ ( minus @ n999 @ n1 ) @ n0 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f769,f767,f734,f864,f734,f734,f864,f734,f734,f864,f863,f734,f734,f734,f864,f734,f734,f864,f734,f734,f864,f734,f734,f864,f863,f734,f734,f734]) ).
thf(f1042,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( true @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f875]) ).
thf(f1043,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ n2 @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ( !! @ $i
@ ^ [Y7: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) ) )
| ( !! @ $i
@ ^ [Y8: $i] :
( ( true @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f958]) ).
thf(f1044,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ~ ( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ n2 @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ( !! @ $i
@ ^ [Y7: $i] :
( ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ( !! @ $i
@ ^ [Y8: $i] :
( ( true @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f1043]) ).
thf(f1045,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ n2 @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ( !! @ $i
@ ^ [Y7: $i] :
( ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ( !! @ $i
@ ^ [Y8: $i] :
( ( true @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f1044]) ).
thf(f1275,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ n2 @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ( !! @ $i
@ ^ [Y7: $i] :
( ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ( !! @ $i
@ ^ [Y8: $i] :
( ( true @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f1045]) ).
thf(f1276,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ n2 @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ( !! @ $i
@ ^ [Y7: $i] :
( ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ( !! @ $i
@ ^ [Y8: $i] :
( ( true @ Y8 )
| ~ ( rel_s4 @ Y7 @ Y8 ) ) )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f1275]) ).
thf(f1277,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ n2 @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ( !! @ $i
@ ^ [Y7: $i] :
( ( true @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK0 @ Y0 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f1276]) ).
thf(f1278,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ n2 @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ( !! @ $i
@ ^ [Y7: $i] :
( ( true @ Y7 )
| ~ ( rel_s4 @ Y6 @ Y7 ) ) )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK0 @ Y0 ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f1277]) ).
thf(f1279,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ n2 @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ( true @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK1 @ Y0 ) ) )
| ~ ( rel_s4 @ sK0 @ sK1 ) ) ),
inference(beta-eta_normalization,[],[f1278]) ).
thf(f1281,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ n2 @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ( true @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK1 @ Y0 ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f1279]) ).
thf(f1282,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ n2 @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ( true @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK1 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f1281]) ).
thf(f1302,plain,
( ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ n2 @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ( !! @ $i
@ ^ [Y6: $i] :
( ( true @ Y6 )
| ~ ( rel_s4 @ Y5 @ Y6 ) ) )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK1 @ Y0 ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f1282]) ).
thf(f1305,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ n2 @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ( true @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( rel_s4 @ sK1 @ sK2 ) ) ),
inference(beta-eta_normalization,[],[f1302]) ).
thf(f1307,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ n2 @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ( true @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1305]) ).
thf(f1309,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ n2 @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ( true @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f1307]) ).
thf(f1317,plain,
( ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ n2 @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ( !! @ $i
@ ^ [Y5: $i] :
( ( true @ Y5 )
| ~ ( rel_s4 @ Y4 @ Y5 ) ) )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f1309]) ).
thf(f1319,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ n2 @ n0 @ Y0 )
| ~ ( rel_s4 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK3 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( true @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK3 @ Y0 ) ) )
| ~ ( rel_s4 @ sK2 @ sK3 ) ) ),
inference(beta-eta_normalization,[],[f1317]) ).
thf(f1322,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ n2 @ n0 @ Y0 )
| ~ ( rel_s4 @ sK3 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK3 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( true @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK3 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1319]) ).
thf(f1323,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( true @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK3 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f1322]) ).
thf(f1330,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ( !! @ $i
@ ^ [Y4: $i] :
( ( true @ Y4 )
| ~ ( rel_s4 @ Y3 @ Y4 ) ) )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK3 @ Y0 ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f1323]) ).
thf(f1332,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK4 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( true @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK4 @ Y0 ) ) )
| ~ ( rel_s4 @ sK3 @ sK4 ) ) ),
inference(beta-eta_normalization,[],[f1330]) ).
thf(f1335,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK4 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( true @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK4 @ Y0 ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f1332]) ).
thf(f1336,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( true @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK4 @ Y0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f1335]) ).
thf(f1354,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( true @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK4 @ Y0 ) )
@ sK5 ) ),
inference(sigma_proxy_clausification,[],[f1336]) ).
thf(f1357,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK5 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( true @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK5 @ Y0 ) ) )
| ~ ( rel_s4 @ sK4 @ sK5 ) ) ),
inference(beta-eta_normalization,[],[f1354]) ).
thf(f1359,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK5 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( true @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK5 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1357]) ).
thf(f1361,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( true @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK5 @ Y0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f1359]) ).
thf(f1369,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( true @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK5 @ Y0 ) )
@ sK6 ) ),
inference(sigma_proxy_clausification,[],[f1361]) ).
thf(f1372,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK6 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( true @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK6 @ Y0 ) ) )
| ~ ( rel_s4 @ sK5 @ sK6 ) ) ),
inference(beta-eta_normalization,[],[f1369]) ).
thf(f1374,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n6 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK6 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( true @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK6 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f1372]) ).
thf(f1375,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( true @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK6 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f1374]) ).
thf(f1384,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( true @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK6 @ Y0 ) )
@ sK7 ) ),
inference(sigma_proxy_clausification,[],[f1375]) ).
thf(f1387,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( true @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) ) )
| ~ ( rel_s4 @ sK6 @ sK7 ) ) ),
inference(beta-eta_normalization,[],[f1384]) ).
thf(f1389,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n3 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( geq @ ( minus @ n999 @ n1 ) @ n0 @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( true @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f1387]) ).
thf(f1391,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( true @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f1389]) ).
thf(f1398,plain,
( $false
= ( ^ [Y0: $i] :
( ( true @ Y0 )
| ~ ( rel_s4 @ sK7 @ Y0 ) )
@ sK8 ) ),
inference(sigma_proxy_clausification,[],[f1391]) ).
thf(f1401,plain,
( ( ( true @ sK8 )
| ~ ( rel_s4 @ sK7 @ sK8 ) )
= $false ),
inference(beta-eta_normalization,[],[f1398]) ).
thf(f1402,plain,
( ( ~ ( rel_s4 @ sK7 @ sK8 ) )
= $false ),
inference(or_proxy_clausification,[],[f1401]) ).
thf(f1403,plain,
( $false
= ( true @ sK8 ) ),
inference(or_proxy_clausification,[],[f1401]) ).
thf(f1404,plain,
( $true
= ( rel_s4 @ sK7 @ sK8 ) ),
inference(not_proxy_clausification,[],[f1402]) ).
thf(f1460,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( true @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1042]) ).
thf(f1461,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( true @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1460]) ).
thf(f1462,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( true @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1461]) ).
thf(f1463,plain,
! [X2: $i,X1: $i] :
( ( ( true @ X2 )
| ~ ( rel_s4 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f1462]) ).
thf(f1464,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( rel_s4 @ X1 @ X2 ) ) )
| ( $true
= ( true @ X2 ) ) ),
inference(or_proxy_clausification,[],[f1463]) ).
thf(f1465,plain,
! [X2: $i,X1: $i] :
( ( ( rel_s4 @ X1 @ X2 )
= $false )
| ( $true
= ( true @ X2 ) ) ),
inference(not_proxy_clausification,[],[f1464]) ).
thf(f1474,plain,
( ( $true
= ( true @ sK8 ) )
| ( $false = $true ) ),
inference(superposition,[],[f1465,f1404]) ).
thf(f1487,plain,
( $true
= ( true @ sK8 ) ),
inference(trivial_inequality_removal,[],[f1474]) ).
thf(f1504,plain,
$false = $true,
inference(forward_demodulation,[],[f1487,f1403]) ).
thf(f1505,plain,
$false,
inference(trivial_inequality_removal,[],[f1504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV107^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n005.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 16:00:39 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.28/0.48 % (1846609)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.28/0.48 % (1846620)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.28/0.48 % (1846620)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
% 0.28/0.48 % (1846616)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2214963864:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.28/0.48 % (1846619)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4207630096:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.28/0.48 % (1846620)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=3430196032:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.28/0.48 % (1846616)Instruction limit reached!
% 0.28/0.48 % (1846616)------------------------------
% 0.28/0.48 % (1846616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.48 % (1846616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.48 % (1846616)CaDiCaL version: 2.1.3
% 0.28/0.48 % (1846616)Termination reason: Instruction limit
% 0.28/0.48 % (1846616)Termination phase: shuffling
% 0.28/0.48 % (1846616)Time elapsed: 0.003 s
% 0.28/0.48 % (1846616)Peak memory usage: 10 MB
% 0.28/0.48 % (1846616)Instructions burned: 3 (million)
% 0.28/0.48 % (1846614)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4090482033:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.28/0.48 % (1846615)lrs+10_16_si=on:nwc=1.5:random_seed=2271095586:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.28/0.48 % (1846618)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3901991554:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.28/0.48 % (1846617)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=1315823895: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)
% 0.28/0.48 % (1846624)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=569559153:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.28/0.48 % (1846624)Instruction limit reached!
% 0.28/0.48 % (1846624)------------------------------
% 0.28/0.48 % (1846624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.48 % (1846624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.48 % (1846624)CaDiCaL version: 2.1.3
% 0.28/0.48 % (1846624)Termination reason: Instruction limit
% 0.28/0.48 % (1846624)Termination phase: shuffling
% 0.28/0.48 % (1846624)Time elapsed: 0.001 s
% 0.28/0.48 % (1846624)Peak memory usage: 10 MB
% 0.28/0.48 % (1846624)Instructions burned: 2 (million)
% 0.28/0.48 % (1846615)Instruction limit reached!
% 0.28/0.48 % (1846615)------------------------------
% 0.28/0.48 % (1846615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.48 % (1846615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.48 % (1846615)CaDiCaL version: 2.1.3
% 0.28/0.48 % (1846615)Termination reason: Instruction limit
% 0.28/0.48 % (1846615)Termination phase: shuffling
% 0.28/0.48 % (1846615)Time elapsed: 0.014 s
% 0.28/0.48 % (1846615)Peak memory usage: 10 MB
% 0.28/0.48 % (1846615)Instructions burned: 18 (million)
% 0.28/0.48 % (1846618)Instruction limit reached!
% 0.28/0.48 % (1846618)------------------------------
% 0.28/0.48 % (1846618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.48 % (1846618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.48 % (1846618)CaDiCaL version: 2.1.3
% 0.28/0.48 % (1846618)Termination reason: Instruction limit
% 0.28/0.48 % (1846618)Termination phase: shuffling
% 0.28/0.48 % (1846618)Time elapsed: 0.018 s
% 0.28/0.48 % (1846618)Peak memory usage: 10 MB
% 0.28/0.48 % (1846618)Instructions burned: 24 (million)
% 0.28/0.48 % (1846631)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.19/0.53 % (1846619)Instruction limit reached!
% 1.19/0.53 % (1846619)------------------------------
% 1.19/0.53 % (1846619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.53 % (1846619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.53 % (1846619)CaDiCaL version: 2.1.3
% 1.19/0.53 % (1846619)Termination reason: Instruction limit
% 1.19/0.53 % (1846619)Termination phase: SInE selection
% 1.19/0.53 % (1846619)Time elapsed: 0.038 s
% 1.19/0.53 % (1846619)Peak memory usage: 11 MB
% 1.19/0.53 % (1846619)Instructions burned: 75 (million)
% 1.19/0.53 % (1846631)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2202105415:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.19/0.53 % (1846631)Instruction limit reached!
% 1.19/0.53 % (1846631)------------------------------
% 1.19/0.53 % (1846631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.53 % (1846631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.53 % (1846631)CaDiCaL version: 2.1.3
% 1.19/0.53 % (1846631)Termination reason: Instruction limit
% 1.19/0.53 % (1846631)Termination phase: shuffling
% 1.19/0.53 % (1846631)Time elapsed: 0.002 s
% 1.19/0.53 % (1846631)Peak memory usage: 10 MB
% 1.19/0.53 % (1846631)Instructions burned: 9 (million)
% 1.19/0.53 % (1846630)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3136957445:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.19/0.53 % (1846632)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2597953470:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.19/0.53 % (1846630)Instruction limit reached!
% 1.19/0.53 % (1846630)------------------------------
% 1.19/0.53 % (1846630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.53 % (1846630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.53 % (1846630)CaDiCaL version: 2.1.3
% 1.19/0.53 % (1846630)Termination reason: Instruction limit
% 1.19/0.53 % (1846630)Termination phase: shuffling
% 1.19/0.53 % (1846630)Time elapsed: 0.003 s
% 1.19/0.53 % (1846630)Peak memory usage: 10 MB
% 1.19/0.53 % (1846630)Instructions burned: 7 (million)
% 1.19/0.53 % (1846633)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
% 1.19/0.53 % (1846633)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.19/0.53 % (1846633)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3753271438:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.19/0.53 % (1846632)Instruction limit reached!
% 1.19/0.53 % (1846632)------------------------------
% 1.19/0.53 % (1846632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.53 % (1846632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.53 % (1846632)CaDiCaL version: 2.1.3
% 1.19/0.53 % (1846632)Termination reason: Instruction limit
% 1.19/0.53 % (1846632)Termination phase: shuffling
% 1.19/0.53 % (1846632)Time elapsed: 0.009 s
% 1.19/0.53 % (1846632)Peak memory usage: 10 MB
% 1.19/0.53 % (1846632)Instructions burned: 12 (million)
% 1.19/0.53 % (1846633)Instruction limit reached!
% 1.19/0.53 % (1846633)------------------------------
% 1.19/0.53 % (1846633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.53 % (1846633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.53 % (1846633)CaDiCaL version: 2.1.3
% 1.19/0.53 % (1846633)Termination reason: Instruction limit
% 1.19/0.53 % (1846633)Termination phase: shuffling
% 1.19/0.53 % (1846633)Time elapsed: 0.012 s
% 1.19/0.53 % (1846633)Peak memory usage: 10 MB
% 1.19/0.53 % (1846633)Instructions burned: 28 (million)
% 1.19/0.53 % (1846614)Instruction limit reached!
% 1.19/0.53 % (1846614)------------------------------
% 1.19/0.53 % (1846614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.53 % (1846614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.53 % (1846614)CaDiCaL version: 2.1.3
% 1.19/0.53 % (1846614)Termination reason: Instruction limit
% 1.19/0.53 % (1846614)Termination phase: Property scanning
% 1.19/0.57 % (1846614)Time elapsed: 0.064 s
% 1.19/0.57 % (1846614)Peak memory usage: 11 MB
% 1.19/0.57 % (1846614)Instructions burned: 87 (million)
% 1.19/0.57 % (1846635)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=3981615546:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.19/0.57 % (1846638)lrs+10_1_si=on:cs=on:random_seed=1070045391:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.19/0.57 % (1846638)Instruction limit reached!
% 1.19/0.57 % (1846638)------------------------------
% 1.19/0.57 % (1846638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.57 % (1846638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.57 % (1846638)CaDiCaL version: 2.1.3
% 1.19/0.57 % (1846638)Termination reason: Instruction limit
% 1.19/0.57 % (1846638)Termination phase: shuffling
% 1.19/0.57 % (1846638)Time elapsed: 0.004 s
% 1.19/0.57 % (1846638)Peak memory usage: 10 MB
% 1.19/0.57 % (1846638)Instructions burned: 10 (million)
% 1.19/0.57 % (1846640)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.19/0.57 % (1846640)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=3173629025:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.19/0.57 % (1846620)Instruction limit reached!
% 1.19/0.57 % (1846620)------------------------------
% 1.19/0.57 % (1846620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.57 % (1846620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.57 % (1846620)CaDiCaL version: 2.1.3
% 1.19/0.57 % (1846620)Termination reason: Instruction limit
% 1.19/0.57 % (1846620)Termination phase: Property scanning
% 1.19/0.57 % (1846620)Time elapsed: 0.083 s
% 1.19/0.57 % (1846620)Peak memory usage: 11 MB
% 1.19/0.57 % (1846620)Instructions burned: 157 (million)
% 1.19/0.57 % (1846640)Instruction limit reached!
% 1.19/0.57 % (1846640)------------------------------
% 1.19/0.57 % (1846640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.57 % (1846640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.57 % (1846640)CaDiCaL version: 2.1.3
% 1.19/0.57 % (1846640)Termination reason: Instruction limit
% 1.19/0.57 % (1846640)Termination phase: shuffling
% 1.19/0.57 % (1846640)Time elapsed: 0.002 s
% 1.19/0.57 % (1846640)Peak memory usage: 10 MB
% 1.19/0.57 % (1846640)Instructions burned: 3 (million)
% 1.19/0.57 % (1846641)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1602559334:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.19/0.57 % (1846648)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=641347350:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.19/0.57 % (1846644)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1628956623:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.19/0.57 % (1846641)Instruction limit reached!
% 1.19/0.57 % (1846641)------------------------------
% 1.19/0.57 % (1846641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.57 % (1846641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.57 % (1846641)CaDiCaL version: 2.1.3
% 1.19/0.57 % (1846641)Termination reason: Instruction limit
% 1.19/0.57 % (1846641)Termination phase: shuffling
% 1.19/0.57 % (1846641)Time elapsed: 0.015 s
% 1.19/0.57 % (1846641)Peak memory usage: 10 MB
% 1.19/0.57 % (1846641)Instructions burned: 38 (million)
% 1.19/0.57 % (1846645)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3303737590:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.19/0.57 % (1846647)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2372603644:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.57 % (1846647)Instruction limit reached!
% 1.19/0.57 % (1846647)------------------------------
% 1.19/0.57 % (1846647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.57 % (1846647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.61 % (1846647)CaDiCaL version: 2.1.3
% 1.66/0.61 % (1846647)Termination reason: Instruction limit
% 1.66/0.61 % (1846647)Termination phase: shuffling
% 1.66/0.61 % (1846647)Time elapsed: 0.006 s
% 1.66/0.61 % (1846647)Peak memory usage: 10 MB
% 1.66/0.61 % (1846647)Instructions burned: 15 (million)
% 1.66/0.61 % (1846635)Instruction limit reached!
% 1.66/0.61 % (1846635)------------------------------
% 1.66/0.61 % (1846635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.61 % (1846635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.61 % (1846635)CaDiCaL version: 2.1.3
% 1.66/0.61 % (1846635)Termination reason: Instruction limit
% 1.66/0.61 % (1846635)Termination phase: Function definition elimination
% 1.66/0.61 % (1846635)Time elapsed: 0.049 s
% 1.66/0.61 % (1846635)Peak memory usage: 11 MB
% 1.66/0.61 % (1846635)Instructions burned: 87 (million)
% 1.66/0.61 % (1846652)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1600238463:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.66/0.61 % (1846645)Instruction limit reached!
% 1.66/0.61 % (1846645)------------------------------
% 1.66/0.61 % (1846645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.61 % (1846645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.61 % (1846645)CaDiCaL version: 2.1.3
% 1.66/0.61 % (1846645)Termination reason: Instruction limit
% 1.66/0.61 % (1846645)Termination phase: shuffling
% 1.66/0.61 % (1846645)Time elapsed: 0.019 s
% 1.66/0.61 % (1846645)Peak memory usage: 10 MB
% 1.66/0.61 % (1846645)Instructions burned: 25 (million)
% 1.66/0.61 % (1846652)Instruction limit reached!
% 1.66/0.61 % (1846652)------------------------------
% 1.66/0.61 % (1846652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.61 % (1846652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.61 % (1846652)CaDiCaL version: 2.1.3
% 1.66/0.61 % (1846652)Termination reason: Instruction limit
% 1.66/0.61 % (1846652)Termination phase: shuffling
% 1.66/0.61 % (1846652)Time elapsed: 0.010 s
% 1.66/0.61 % (1846652)Peak memory usage: 10 MB
% 1.66/0.61 % (1846652)Instructions burned: 16 (million)
% 1.66/0.61 % (1846655)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1782372592: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)
% 1.66/0.61 % (1846655)Instruction limit reached!
% 1.66/0.61 % (1846655)------------------------------
% 1.66/0.61 % (1846655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.61 % (1846655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.61 % (1846655)CaDiCaL version: 2.1.3
% 1.66/0.61 % (1846655)Termination reason: Instruction limit
% 1.66/0.61 % (1846655)Termination phase: shuffling
% 1.66/0.61 % (1846655)Time elapsed: 0.002 s
% 1.66/0.61 % (1846655)Peak memory usage: 10 MB
% 1.66/0.61 % (1846655)Instructions burned: 4 (million)
% 1.66/0.61 % (1846659)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=968883701:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.66/0.61 % (1846656)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1377977687:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.66/0.61 % (1846658)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1054191783:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.66/0.61 % (1846661)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
% 1.66/0.61 % (1846661)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.66/0.61 % (1846661)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=1129933435:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.66/0.61 % (1846661)Instruction limit reached!
% 1.66/0.61 % (1846661)------------------------------
% 1.66/0.61 % (1846661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.61 % (1846661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.66 % (1846661)CaDiCaL version: 2.1.3
% 1.93/0.66 % (1846661)Termination reason: Instruction limit
% 1.93/0.66 % (1846661)Termination phase: shuffling
% 1.93/0.66 % (1846661)Time elapsed: 0.006 s
% 1.93/0.66 % (1846661)Peak memory usage: 10 MB
% 1.93/0.66 % (1846661)Instructions burned: 15 (million)
% 1.93/0.66 % (1846644)Refutation not found, incomplete strategy
% 1.93/0.66 % (1846644)------------------------------
% 1.93/0.66 % (1846644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.66 % (1846644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.66 % (1846644)CaDiCaL version: 2.1.3
% 1.93/0.66 % (1846644)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.66 % (1846644)Time elapsed: 0.068 s
% 1.93/0.66 % (1846644)Peak memory usage: 13 MB
% 1.93/0.66 % (1846644)Instructions burned: 90 (million)
% 1.93/0.66 % (1846644)------------------------------
% 1.93/0.66 % (1846644)------------------------------
% 1.93/0.66 % (1846656)Instruction limit reached!
% 1.93/0.66 % (1846656)------------------------------
% 1.93/0.66 % (1846656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.66 % (1846656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.66 % (1846656)CaDiCaL version: 2.1.3
% 1.93/0.66 % (1846656)Termination reason: Instruction limit
% 1.93/0.66 % (1846656)Termination phase: shuffling
% 1.93/0.66 % (1846656)Time elapsed: 0.021 s
% 1.93/0.66 % (1846656)Peak memory usage: 10 MB
% 1.93/0.66 % (1846656)Instructions burned: 26 (million)
% 1.93/0.66 % (1846658)Instruction limit reached!
% 1.93/0.66 % (1846658)------------------------------
% 1.93/0.66 % (1846658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.66 % (1846658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.66 % (1846658)CaDiCaL version: 2.1.3
% 1.93/0.66 % (1846658)Termination reason: Instruction limit
% 1.93/0.66 % (1846658)Termination phase: shuffling
% 1.93/0.66 % (1846658)Time elapsed: 0.017 s
% 1.93/0.66 % (1846658)Peak memory usage: 10 MB
% 1.93/0.66 % (1846658)Instructions burned: 23 (million)
% 1.93/0.66 % (1846659)Instruction limit reached!
% 1.93/0.66 % (1846659)------------------------------
% 1.93/0.66 % (1846659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.66 % (1846659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.66 % (1846659)CaDiCaL version: 2.1.3
% 1.93/0.66 % (1846659)Termination reason: Instruction limit
% 1.93/0.66 % (1846659)Termination phase: Property scanning
% 1.93/0.66 % (1846659)Time elapsed: 0.028 s
% 1.93/0.66 % (1846659)Peak memory usage: 10 MB
% 1.93/0.66 % (1846659)Instructions burned: 60 (million)
% 1.93/0.66 % (1846666)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.93/0.66 % (1846666)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=3602669156:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.93/0.66 % (1846668)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2697436759:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.93/0.66 % (1846670)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3938919335:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.93/0.66 % (1846666)Instruction limit reached!
% 1.93/0.66 % (1846666)------------------------------
% 1.93/0.66 % (1846666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.66 % (1846666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.66 % (1846666)CaDiCaL version: 2.1.3
% 1.93/0.66 % (1846666)Termination reason: Instruction limit
% 1.93/0.66 % (1846666)Termination phase: shuffling
% 1.93/0.66 % (1846666)Time elapsed: 0.006 s
% 1.93/0.66 % (1846666)Peak memory usage: 10 MB
% 1.93/0.66 % (1846666)Instructions burned: 9 (million)
% 1.93/0.66 % (1846668)Instruction limit reached!
% 1.93/0.66 % (1846668)------------------------------
% 1.93/0.66 % (1846668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.66 % (1846668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.66 % (1846668)CaDiCaL version: 2.1.3
% 1.93/0.66 % (1846668)Termination reason: Instruction limit
% 1.93/0.66 % (1846668)Termination phase: shuffling
% 1.93/0.66 % (1846668)Time elapsed: 0.006 s
% 1.93/0.66 % (1846668)Peak memory usage: 10 MB
% 2.26/0.71 % (1846668)Instructions burned: 8 (million)
% 2.26/0.71 % (1846667)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=3766185497:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.26/0.71 % (1846670)Instruction limit reached!
% 2.26/0.71 % (1846670)------------------------------
% 2.26/0.71 % (1846670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.71 % (1846670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.71 % (1846670)CaDiCaL version: 2.1.3
% 2.26/0.71 % (1846670)Termination reason: Instruction limit
% 2.26/0.71 % (1846670)Termination phase: shuffling
% 2.26/0.71 % (1846670)Time elapsed: 0.010 s
% 2.26/0.71 % (1846670)Peak memory usage: 10 MB
% 2.26/0.71 % (1846670)Instructions burned: 20 (million)
% 2.26/0.71 % (1846617)Instruction limit reached!
% 2.26/0.71 % (1846617)------------------------------
% 2.26/0.71 % (1846617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.71 % (1846617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.71 % (1846617)CaDiCaL version: 2.1.3
% 2.26/0.71 % (1846617)Termination reason: Instruction limit
% 2.26/0.71 % (1846617)Termination phase: Saturation
% 2.26/0.71 % (1846617)Time elapsed: 0.199 s
% 2.26/0.71 % (1846617)Peak memory usage: 17 MB
% 2.26/0.71 % (1846617)Instructions burned: 636 (million)
% 2.26/0.71 % (1846669)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2244184396:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.26/0.71 % (1846667)Instruction limit reached!
% 2.26/0.71 % (1846667)------------------------------
% 2.26/0.71 % (1846667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.71 % (1846667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.71 % (1846667)CaDiCaL version: 2.1.3
% 2.26/0.71 % (1846667)Termination reason: Instruction limit
% 2.26/0.71 % (1846667)Termination phase: Property scanning
% 2.26/0.71 % (1846667)Time elapsed: 0.017 s
% 2.26/0.71 % (1846667)Peak memory usage: 10 MB
% 2.26/0.71 % (1846667)Instructions burned: 33 (million)
% 2.26/0.71 % (1846669)Instruction limit reached!
% 2.26/0.71 % (1846669)------------------------------
% 2.26/0.71 % (1846669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.71 % (1846669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.71 % (1846669)CaDiCaL version: 2.1.3
% 2.26/0.71 % (1846669)Termination reason: Instruction limit
% 2.26/0.71 % (1846669)Termination phase: shuffling
% 2.26/0.71 % (1846669)Time elapsed: 0.010 s
% 2.26/0.71 % (1846669)Peak memory usage: 10 MB
% 2.26/0.71 % (1846669)Instructions burned: 25 (million)
% 2.26/0.71 % (1846674)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1905765915:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.26/0.71 % (1846676)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1513552419:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.26/0.71 % (1846679)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3019439641:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.26/0.71 % (1846681)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.26/0.71 % (1846648)Instruction limit reached!
% 2.26/0.71 % (1846648)------------------------------
% 2.26/0.71 % (1846648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.71 % (1846648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.71 % (1846648)CaDiCaL version: 2.1.3
% 2.26/0.71 % (1846648)Termination reason: Instruction limit
% 2.26/0.71 % (1846648)Termination phase: Saturation
% 2.26/0.71 % (1846648)Time elapsed: 0.144 s
% 2.26/0.71 % (1846648)Peak memory usage: 14 MB
% 2.26/0.71 % (1846648)Instructions burned: 328 (million)
% 2.26/0.71 % (1846679)Instruction limit reached!
% 2.26/0.71 % (1846679)------------------------------
% 2.26/0.71 % (1846679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.71 % (1846679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.71 % (1846679)CaDiCaL version: 2.1.3
% 2.26/0.71 % (1846679)Termination reason: Instruction limit
% 2.26/0.79 % (1846679)Termination phase: Property scanning
% 2.26/0.79 % (1846679)Time elapsed: 0.012 s
% 2.26/0.79 % (1846679)Peak memory usage: 10 MB
% 2.26/0.79 % (1846679)Instructions burned: 44 (million)
% 2.26/0.79 % (1846677)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2729318434:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.26/0.79 % (1846681)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1665560819:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.26/0.79 % (1846682)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=103766501:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.26/0.79 % (1846681)Instruction limit reached!
% 2.26/0.79 % (1846681)------------------------------
% 2.26/0.79 % (1846681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.79 % (1846681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.79 % (1846681)CaDiCaL version: 2.1.3
% 2.26/0.79 % (1846681)Termination reason: Instruction limit
% 2.26/0.79 % (1846681)Termination phase: shuffling
% 2.26/0.79 % (1846681)Time elapsed: 0.003 s
% 2.26/0.79 % (1846681)Peak memory usage: 10 MB
% 2.26/0.79 % (1846681)Instructions burned: 7 (million)
% 2.26/0.79 % (1846685)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=982864758:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.26/0.79 % (1846686)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.26/0.79 % (1846686)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=718239686:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.26/0.79 % (1846686)Instruction limit reached!
% 2.26/0.79 % (1846686)------------------------------
% 2.26/0.79 % (1846686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.79 % (1846686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.79 % (1846686)CaDiCaL version: 2.1.3
% 2.26/0.79 % (1846690)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1388196759:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.26/0.79 % (1846686)Termination reason: Instruction limit
% 2.26/0.79 % (1846686)Termination phase: shuffling
% 2.26/0.79 % (1846686)Time elapsed: 0.004 s
% 2.26/0.79 % (1846686)Peak memory usage: 10 MB
% 2.26/0.79 % (1846686)Instructions burned: 8 (million)
% 2.26/0.79 % (1846690)Instruction limit reached!
% 2.26/0.79 % (1846690)------------------------------
% 2.26/0.79 % (1846690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.79 % (1846690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.79 % (1846690)CaDiCaL version: 2.1.3
% 2.26/0.79 % (1846690)Termination reason: Instruction limit
% 2.26/0.79 % (1846690)Termination phase: shuffling
% 2.26/0.79 % (1846690)Time elapsed: 0.009 s
% 2.26/0.79 % (1846690)Peak memory usage: 10 MB
% 2.26/0.79 % (1846690)Instructions burned: 22 (million)
% 2.26/0.79 % (1846676)Instruction limit reached!
% 2.26/0.79 % (1846676)------------------------------
% 2.26/0.79 % (1846676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.79 % (1846676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.79 % (1846676)CaDiCaL version: 2.1.3
% 2.26/0.79 % (1846676)Termination reason: Instruction limit
% 2.26/0.79 % (1846676)Termination phase: Property scanning
% 2.26/0.79 % (1846676)Time elapsed: 0.057 s
% 2.26/0.79 % (1846676)Peak memory usage: 11 MB
% 2.26/0.79 % (1846676)Instructions burned: 144 (million)
% 2.26/0.79 % (1846685)Refutation not found, incomplete strategy
% 2.26/0.79 % (1846685)------------------------------
% 2.26/0.79 % (1846685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.79 % (1846685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.79 % (1846685)CaDiCaL version: 2.1.3
% 2.26/0.79 % (1846685)Termination reason: Refutation not found, incomplete strategy
% 2.26/0.79 % (1846685)Time elapsed: 0.035 s
% 2.26/0.79 % (1846685)Peak memory usage: 14 MB
% 2.26/0.79 % (1846685)Instructions burned: 152 (million)
% 2.88/0.86 % (1846685)------------------------------
% 2.88/0.86 % (1846685)------------------------------
% 2.88/0.86 % (1846694)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2578343537:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.88/0.86 % (1846695)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=4263297004:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.88/0.86 % (1846697)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=3235003960:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.88/0.86 % (1846696)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=1439177921:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.88/0.86 % (1846694)Instruction limit reached!
% 2.88/0.86 % (1846694)------------------------------
% 2.88/0.86 % (1846694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.86 % (1846694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.86 % (1846694)CaDiCaL version: 2.1.3
% 2.88/0.86 % (1846694)Termination reason: Instruction limit
% 2.88/0.86 % (1846694)Termination phase: shuffling
% 2.88/0.86 % (1846694)Time elapsed: 0.009 s
% 2.88/0.86 % (1846694)Peak memory usage: 10 MB
% 2.88/0.86 % (1846694)Instructions burned: 20 (million)
% 2.88/0.86 % (1846697)Instruction limit reached!
% 2.88/0.86 % (1846697)------------------------------
% 2.88/0.86 % (1846697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.86 % (1846697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.86 % (1846697)CaDiCaL version: 2.1.3
% 2.88/0.86 % (1846697)Termination reason: Instruction limit
% 2.88/0.86 % (1846697)Termination phase: shuffling
% 2.88/0.86 % (1846697)Time elapsed: 0.009 s
% 2.88/0.86 % (1846697)Peak memory usage: 10 MB
% 2.88/0.86 % (1846697)Instructions burned: 46 (million)
% 2.88/0.86 % (1846703)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2880517: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)
% 2.88/0.86 % (1846682)Instruction limit reached!
% 2.88/0.86 % (1846682)------------------------------
% 2.88/0.86 % (1846682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.86 % (1846682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.86 % (1846682)CaDiCaL version: 2.1.3
% 2.88/0.86 % (1846682)Termination reason: Instruction limit
% 2.88/0.86 % (1846682)Termination phase: Saturation
% 2.88/0.86 % (1846682)Time elapsed: 0.077 s
% 2.88/0.86 % (1846682)Peak memory usage: 13 MB
% 2.88/0.86 % (1846682)Instructions burned: 182 (million)
% 2.88/0.86 % (1846702)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1574015498:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.88/0.86 % (1846703)Instruction limit reached!
% 2.88/0.86 % (1846703)------------------------------
% 2.88/0.86 % (1846703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.86 % (1846703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/0.86 % (1846703)CaDiCaL version: 2.1.3
% 2.88/0.86 % (1846703)Termination reason: Instruction limit
% 2.88/0.86 % (1846703)Termination phase: shuffling
% 2.88/0.86 % (1846703)Time elapsed: 0.005 s
% 2.88/0.86 % (1846703)Peak memory usage: 10 MB
% 2.88/0.86 % (1846703)Instructions burned: 22 (million)
% 2.88/0.86 % (1846707)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3871101375:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.88/0.86 % (1846706)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.88/0.86 % (1846707)Instruction limit reached!
% 2.88/0.86 % (1846707)------------------------------
% 2.88/0.86 % (1846707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.88/0.86 % (1846707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.97 % (1846707)CaDiCaL version: 2.1.3
% 3.28/0.97 % (1846707)Termination reason: Instruction limit
% 3.28/0.97 % (1846707)Termination phase: shuffling
% 3.28/0.97 % (1846707)Time elapsed: 0.003 s
% 3.28/0.97 % (1846707)Peak memory usage: 10 MB
% 3.28/0.97 % (1846707)Instructions burned: 14 (million)
% 3.28/0.97 % (1846706)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3216557296:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.28/0.97 % (1846709)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=2032852750:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.28/0.97 % (1846677)Refutation not found, incomplete strategy
% 3.28/0.97 % (1846677)------------------------------
% 3.28/0.97 % (1846677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.97 % (1846677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.97 % (1846677)CaDiCaL version: 2.1.3
% 3.28/0.97 % (1846677)Termination reason: Refutation not found, incomplete strategy
% 3.28/0.97 % (1846677)Time elapsed: 0.110 s
% 3.28/0.97 % (1846677)Peak memory usage: 14 MB
% 3.28/0.97 % (1846677)Instructions burned: 142 (million)
% 3.28/0.97 % (1846677)------------------------------
% 3.28/0.97 % (1846677)------------------------------
% 3.28/0.97 % (1846709)Instruction limit reached!
% 3.28/0.97 % (1846709)------------------------------
% 3.28/0.97 % (1846709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.97 % (1846709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.97 % (1846709)CaDiCaL version: 2.1.3
% 3.28/0.97 % (1846709)Termination reason: Instruction limit
% 3.28/0.97 % (1846709)Termination phase: Unused predicate definition removal
% 3.28/0.97 % (1846709)Time elapsed: 0.016 s
% 3.28/0.97 % (1846709)Peak memory usage: 11 MB
% 3.28/0.97 % (1846709)Instructions burned: 69 (million)
% 3.28/0.97 % (1846712)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=664220522:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.28/0.97 % (1846702)Refutation not found, incomplete strategy
% 3.28/0.97 % (1846702)------------------------------
% 3.28/0.97 % (1846702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.97 % (1846702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.97 % (1846702)CaDiCaL version: 2.1.3
% 3.28/0.97 % (1846702)Termination reason: Refutation not found, incomplete strategy
% 3.28/0.97 % (1846702)Time elapsed: 0.066 s
% 3.28/0.97 % (1846702)Peak memory usage: 14 MB
% 3.28/0.97 % (1846702)Instructions burned: 147 (million)
% 3.28/0.97 % (1846702)------------------------------
% 3.28/0.97 % (1846702)------------------------------
% 3.28/0.97 % (1846713)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=113372187:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.28/0.97 % (1846713)Instruction limit reached!
% 3.28/0.97 % (1846713)------------------------------
% 3.28/0.97 % (1846713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.97 % (1846713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.97 % (1846713)CaDiCaL version: 2.1.3
% 3.28/0.97 % (1846713)Termination reason: Instruction limit
% 3.28/0.97 % (1846713)Termination phase: Property scanning
% 3.28/0.97 % (1846713)Time elapsed: 0.013 s
% 3.28/0.97 % (1846713)Peak memory usage: 10 MB
% 3.28/0.97 % (1846713)Instructions burned: 31 (million)
% 3.28/0.97 % (1846715)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=428538621:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.28/0.97 % (1846706)Instruction limit reached!
% 3.28/0.97 % (1846706)------------------------------
% 3.28/0.97 % (1846706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/0.97 % (1846717)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=3479086554:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.28/0.97 % (1846706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/0.97 % (1846706)CaDiCaL version: 2.1.3
% 3.28/0.97 % (1846706)Termination reason: Instruction limit
% 3.28/0.97 % (1846706)Termination phase: Property scanning
% 3.28/1.02 % (1846706)Time elapsed: 0.079 s
% 3.28/1.02 % (1846706)Peak memory usage: 11 MB
% 3.28/1.02 % (1846706)Instructions burned: 203 (million)
% 3.28/1.02 % (1846695)Instruction limit reached!
% 3.28/1.02 % (1846695)------------------------------
% 3.28/1.02 % (1846695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846695)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846695)Termination reason: Instruction limit
% 3.28/1.02 % (1846695)Termination phase: Saturation
% 3.28/1.02 % (1846695)Time elapsed: 0.126 s
% 3.28/1.02 % (1846695)Peak memory usage: 13 MB
% 3.28/1.02 % (1846695)Instructions burned: 317 (million)
% 3.28/1.02 % (1846712)Instruction limit reached!
% 3.28/1.02 % (1846712)------------------------------
% 3.28/1.02 % (1846712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846712)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846712)Termination reason: Instruction limit
% 3.28/1.02 % (1846712)Termination phase: Property scanning
% 3.28/1.02 % (1846712)Time elapsed: 0.038 s
% 3.28/1.02 % (1846712)Peak memory usage: 11 MB
% 3.28/1.02 % (1846712)Instructions burned: 51 (million)
% 3.28/1.02 % (1846717)Instruction limit reached!
% 3.28/1.02 % (1846717)------------------------------
% 3.28/1.02 % (1846717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846717)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846717)Termination reason: Instruction limit
% 3.28/1.02 % (1846717)Termination phase: Property scanning
% 3.28/1.02 % (1846717)Time elapsed: 0.010 s
% 3.28/1.02 % (1846717)Peak memory usage: 10 MB
% 3.28/1.02 % (1846717)Instructions burned: 46 (million)
% 3.28/1.02 % (1846721)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.28/1.02 % (1846721)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2359964868:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.28/1.02 % (1846720)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3301222152:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.28/1.02 % (1846723)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2501491965:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.28/1.02 % (1846722)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2756683142:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.28/1.02 % (1846720)Instruction limit reached!
% 3.28/1.02 % (1846720)------------------------------
% 3.28/1.02 % (1846720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846720)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846720)Termination reason: Instruction limit
% 3.28/1.02 % (1846720)Termination phase: Property scanning
% 3.28/1.02 % (1846720)Time elapsed: 0.027 s
% 3.28/1.02 % (1846720)Peak memory usage: 11 MB
% 3.28/1.02 % (1846720)Instructions burned: 68 (million)
% 3.28/1.02 % (1846723)Instruction limit reached!
% 3.28/1.02 % (1846723)------------------------------
% 3.28/1.02 % (1846723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846723)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846723)Termination reason: Instruction limit
% 3.28/1.02 % (1846723)Termination phase: Function definition elimination
% 3.28/1.02 % (1846723)Time elapsed: 0.035 s
% 3.28/1.02 % (1846723)Peak memory usage: 11 MB
% 3.28/1.02 % (1846723)Instructions burned: 100 (million)
% 3.28/1.02 % (1846729)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3525354204:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 3.28/1.02 % (1846728)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=577178321:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.28/1.02 % (1846715)Instruction limit reached!
% 3.28/1.02 % (1846715)------------------------------
% 3.28/1.02 % (1846715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846715)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846715)Termination reason: Instruction limit
% 3.28/1.02 % (1846715)Termination phase: Saturation
% 3.28/1.02 % (1846715)Time elapsed: 0.079 s
% 3.28/1.02 % (1846715)Peak memory usage: 13 MB
% 3.28/1.02 % (1846715)Instructions burned: 137 (million)
% 3.28/1.02 % (1846721)Instruction limit reached!
% 3.28/1.02 % (1846721)------------------------------
% 3.28/1.02 % (1846721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846721)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846721)Termination reason: Instruction limit
% 3.28/1.02 % (1846721)Termination phase: Property scanning
% 3.28/1.02 % (1846721)Time elapsed: 0.070 s
% 3.28/1.02 % (1846721)Peak memory usage: 11 MB
% 3.28/1.02 % (1846721)Instructions burned: 180 (million)
% 3.28/1.02 % (1846732)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3854128497:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.28/1.02 % (1846722)Refutation not found, incomplete strategy
% 3.28/1.02 % (1846722)------------------------------
% 3.28/1.02 % (1846722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846722)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846722)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.02 % (1846722)Time elapsed: 0.065 s
% 3.28/1.02 % (1846722)Peak memory usage: 14 MB
% 3.28/1.02 % (1846722)Instructions burned: 150 (million)
% 3.28/1.02 % (1846722)------------------------------
% 3.28/1.02 % (1846722)------------------------------
% 3.28/1.02 % (1846734)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2851591642:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.28/1.02 % (1846735)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3387186075:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.28/1.02 % (1846728)Refutation not found, incomplete strategy
% 3.28/1.02 % (1846728)------------------------------
% 3.28/1.02 % (1846728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846728)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846728)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.02 % (1846728)Time elapsed: 0.047 s
% 3.28/1.02 % (1846728)Peak memory usage: 13 MB
% 3.28/1.02 % (1846728)Instructions burned: 82 (million)
% 3.28/1.02 % (1846728)------------------------------
% 3.28/1.02 % (1846728)------------------------------
% 3.28/1.02 % (1846735)Instruction limit reached!
% 3.28/1.02 % (1846735)------------------------------
% 3.28/1.02 % (1846735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846735)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846735)Termination reason: Instruction limit
% 3.28/1.02 % (1846735)Termination phase: Property scanning
% 3.28/1.02 % (1846735)Time elapsed: 0.018 s
% 3.28/1.02 % (1846735)Peak memory usage: 10 MB
% 3.28/1.02 % (1846735)Instructions burned: 45 (million)
% 3.28/1.02 % (1846738)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=817705429:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 3.28/1.02 % (1846739)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2268499902:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 3.28/1.02 % (1846734)Instruction limit reached!
% 3.28/1.02 % (1846734)------------------------------
% 3.28/1.02 % (1846734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846734)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846734)Termination reason: Instruction limit
% 3.28/1.02 % (1846734)Termination phase: Saturation
% 3.28/1.02 % (1846734)Time elapsed: 0.053 s
% 3.28/1.02 % (1846734)Peak memory usage: 12 MB
% 3.28/1.02 % (1846734)Instructions burned: 131 (million)
% 3.28/1.02 % (1846729)Refutation not found, incomplete strategy
% 3.28/1.02 % (1846729)------------------------------
% 3.28/1.02 % (1846729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846729)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846729)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.02 % (1846729)Time elapsed: 0.113 s
% 3.28/1.02 % (1846729)Peak memory usage: 16 MB
% 3.28/1.02 % (1846729)Instructions burned: 476 (million)
% 3.28/1.02 % (1846729)------------------------------
% 3.28/1.02 % (1846729)------------------------------
% 3.28/1.02 % (1846742)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=667906130:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 3.28/1.02 % (1846743)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=3943217256:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 3.28/1.02 % (1846738)Refutation not found, incomplete strategy
% 3.28/1.02 % (1846738)------------------------------
% 3.28/1.02 % (1846738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846738)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846738)Termination reason: Refutation not found, incomplete strategy
% 3.28/1.02 % (1846738)Time elapsed: 0.065 s
% 3.28/1.02 % (1846738)Peak memory usage: 14 MB
% 3.28/1.02 % (1846738)Instructions burned: 153 (million)
% 3.28/1.02 % (1846738)------------------------------
% 3.28/1.02 % (1846738)------------------------------
% 3.28/1.02 % (1846743)Instruction limit reached!
% 3.28/1.02 % (1846743)------------------------------
% 3.28/1.02 % (1846743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846743)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846743)Termination reason: Instruction limit
% 3.28/1.02 % (1846743)Termination phase: Property scanning
% 3.28/1.02 % (1846743)Time elapsed: 0.018 s
% 3.28/1.02 % (1846743)Peak memory usage: 11 MB
% 3.28/1.02 % (1846743)Instructions burned: 65 (million)
% 3.28/1.02 % (1846674) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1846609-1846674"...
% 3.28/1.02 % (1846742)Instruction limit reached!
% 3.28/1.02 % (1846742)------------------------------
% 3.28/1.02 % (1846742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.02 % (1846742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.02 % (1846742)CaDiCaL version: 2.1.3
% 3.28/1.02 % (1846742)Termination reason: Instruction limit
% 3.28/1.02 % (1846742)Termination phase: Function definition elimination
% 3.28/1.02 % (1846742)Time elapsed: 0.038 s
% 3.28/1.02 % (1846742)Peak memory usage: 11 MB
% 3.28/1.02 % (1846742)Instructions burned: 98 (million)
% 3.28/1.02 % (1846747)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=1881436083:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 3.28/1.02 % (1846674)...printing done.
% 3.28/1.02 % (1846674)Refutation found. Thanks to Tanya!
% 3.28/1.02 % SZS status Theorem for theBenchmark
% 3.28/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.28/1.03 % (1846674)------------------------------
% 3.28/1.03 % (1846674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.28/1.03 % (1846674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.03 % (1846674)CaDiCaL version: 2.1.3
% 3.28/1.03 % (1846674)Termination reason: Refutation
% 3.28/1.03 % (1846674)Time elapsed: 0.424 s
% 3.28/1.03 % (1846674)Peak memory usage: 17 MB
% 3.28/1.03 % (1846674)Instructions burned: 877 (million)
% 3.28/1.03 % (1846609)Success in time 0.722 s
% 3.28/1.03 % Vampire exiting
%------------------------------------------------------------------------------