%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG017^7 : 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 : n003.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 07:45:10 AM UTC 2026
% Result : Theorem 29.78s 4.55s
% Output : Refutation 29.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 59 unt; 0 typ; 0 def)
% Number of atoms : 2862 ( 58 equ; 0 cnn)
% Maximal formula atoms : 100 ( 44 avg)
% Number of connectives : 11747 (1848 ~;1367 |; 0 &;7807 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 267 ( 267 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 63 usr; 10 con; 0-4 aty)
% ( 725 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1159 (1149 ^; 10 !; 0 ?;1159 :)
% 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,
unit: mu ).
thf(func_def_37,type,
inv: mu > mu ).
thf(func_def_38,type,
e3: mu ).
thf(func_def_39,type,
e2: mu ).
thf(func_def_40,type,
e1: mu ).
thf(func_def_41,type,
e0: mu ).
thf(func_def_42,type,
op: mu > mu > mu ).
thf(func_def_43,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_44,type,
vIMP: $o > $o > $o ).
thf(func_def_45,type,
vAND: $o > $o > $o ).
thf(func_def_46,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
vOR: $o > $o > $o ).
thf(func_def_51,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_52,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_55,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vNOT: $o > $o ).
thf(func_def_57,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
sK0: $i > mu ).
thf(func_def_65,type,
sK4: $i > $i ).
thf(f2,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).
thf(f8,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) )
= mand ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mand) ).
thf(f18,axiom,
( mreflexive
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mreflexive) ).
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(f34,axiom,
mreflexive @ rel_s4,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^5.ax',a1) ).
thf(f61,conjecture,
mvalid @ ( mbox_s4 @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(f62,negated_conjecture,
~ ( mvalid @ ( mbox_s4 @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f61]) ).
thf(f69,plain,
( mreflexive
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) ) ),
inference(rectify,[],[f18]) ).
thf(f70,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f69]) ).
thf(f86,plain,
mreflexive @ rel_s4,
inference(rectify,[],[f34]) ).
thf(f87,plain,
( ( mreflexive @ rel_s4 )
= $true ),
inference(fool_elimination,[],[f86]) ).
thf(f88,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f3]) ).
thf(f89,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f88]) ).
thf(f113,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f115,plain,
~ ( mvalid @ ( mbox_s4 @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f62]) ).
thf(f116,plain,
( $true
= ( ~ ( mvalid @ ( mbox_s4 @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f115]) ).
thf(f117,plain,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ~ ( rel_s4 @ X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f118,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f117]) ).
thf(f127,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f128,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f127]) ).
thf(f141,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f2]) ).
thf(f142,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f141]) ).
thf(f181,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f89]) ).
thf(f195,plain,
( ( mreflexive @ rel_s4 )
= $true ),
inference(cnf_transformation,[],[f87]) ).
thf(f197,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f118]) ).
thf(f200,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f70]) ).
thf(f217,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f221,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f142]) ).
thf(f224,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f113]) ).
thf(f225,plain,
( $true
= ( ~ ( mvalid @ ( mbox_s4 @ ( mnot @ ( mand @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) @ ( mbox_s4 @ ( mnot @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) ) @ ( mor @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) ) @ ( mand @ ( mbox_s4 @ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f116]) ).
thf(f239,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,[],[f224,f221,f181,f221,f221]) ).
thf(f253,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ rel_s4 ) ),
inference(definition_unfolding,[],[f195,f200]) ).
thf(f261,plain,
( $true
= ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
~ ( 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 > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 ) )
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
@ ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f225,f217,f197,f221,f239,f181,f239,f197,f239,f197,f239,f197,f197,f181,f239,f197,f239,f197,f239,f197,f197,f181,f239,f197,f239,f197,f239,f197,f197,f239,f197,f239,f197,f239,f197,f197,f197,f221,f181,f239,f197,f239,f197,f239,f197,f197,f181,f239,f197,f239,f197,f239,f197,f197,f181,f239,f197,f239,f197,f239,f197,f197,f239,f197,f239,f197,f239,f197,f197]) ).
thf(f389,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ~ ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f261]) ).
thf(f390,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f389]) ).
thf(f391,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f390]) ).
thf(f392,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f391]) ).
thf(f393,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f392]) ).
thf(f394,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f393]) ).
thf(f395,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f394]) ).
thf(f396,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f395]) ).
thf(f397,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[],[f396]) ).
thf(f398,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f397]) ).
thf(f405,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( rel_s4 @ Y0 @ Y0 ) ) ),
inference(beta-eta_normalization,[],[f253]) ).
thf(f481,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( rel_s4 @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f405]) ).
thf(f482,plain,
! [X1: $i] :
( ( rel_s4 @ X1 @ X1 )
= $true ),
inference(beta-eta_normalization,[],[f481]) ).
thf(f581,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f398]) ).
thf(f582,plain,
( $false
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y3 )
| ~ ( rel_s4 @ Y2 @ Y3 ) ) ) ) )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f581]) ).
thf(f583,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f582]) ).
thf(f584,plain,
( $false
= ( ^ [Y0: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y2 )
| ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( rel_s4 @ sK1 @ Y0 ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f583]) ).
thf(f585,plain,
( $false
= ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( rel_s4 @ sK1 @ sK2 ) ) ),
inference(beta-eta_normalization,[],[f584]) ).
thf(f587,plain,
( $false
= ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f585]) ).
thf(f1501,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f587]) ).
thf(f1502,plain,
( $false
= ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f587]) ).
thf(f2438,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
= $true ),
inference(not_proxy_clausification,[],[f1501]) ).
thf(f2533,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y1 )
| ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) )
| ~ ( rel_s4 @ sK2 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f2438]) ).
thf(f2534,plain,
! [X1: $i] :
( ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ X1 @ Y0 ) ) ) ) )
| ~ ( rel_s4 @ sK2 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f2533]) ).
thf(f2564,plain,
( $true
= ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) )
| ~ $true ) ),
inference(superposition,[],[f2534,f482]) ).
thf(f2571,plain,
( $true
= ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) )
| $false ) ),
inference(boolean_simplification,[],[f2564]) ).
thf(f2572,plain,
( ( ~ ( ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e0 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e1 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e2 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) )
| ~ ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e0 @ e0 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e1 @ e1 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e2 @ e2 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( qmltpeq @ ( op @ e3 @ e3 ) @ e3 @ Y0 )
| ~ ( rel_s4 @ sK2 @ Y0 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f2571]) ).
thf(f2577,plain,
$false = $true,
inference(forward_demodulation,[],[f2572,f1502]) ).
thf(f2578,plain,
$false,
inference(trivial_inequality_removal,[],[f2577]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG017^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 17:32:59 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.21/0.26 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
% 0.60/0.40 % (2809802)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.60/0.40 % (2809812)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2650112593:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.60/0.40 % (2809813)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.60/0.40 % (2809813)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
% 0.60/0.40 % (2809807)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1986175424:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.60/0.40 % (2809808)lrs+10_16_si=on:nwc=1.5:random_seed=1419832191:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.60/0.40 % (2809810)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=50439777: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)
% 0.60/0.40 % (2809811)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1432807412:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.60/0.40 % (2809813)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=2359610265:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.60/0.40 % (2809812)Instruction limit reached!
% 0.60/0.40 % (2809812)------------------------------
% 0.60/0.40 % (2809812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.40 % (2809812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.40 % (2809812)CaDiCaL version: 2.1.3
% 0.60/0.40 % (2809812)Termination reason: Instruction limit
% 0.60/0.40 % (2809812)Termination phase: Property scanning
% 0.60/0.40 % (2809812)Time elapsed: 0.014 s
% 0.60/0.40 % (2809812)Peak memory usage: 10 MB
% 0.60/0.40 % (2809812)Instructions burned: 76 (million)
% 0.60/0.40 % (2809808)Instruction limit reached!
% 0.60/0.40 % (2809808)------------------------------
% 0.60/0.40 % (2809808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.40 % (2809808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.40 % (2809808)CaDiCaL version: 2.1.3
% 0.60/0.40 % (2809808)Termination reason: Instruction limit
% 0.60/0.40 % (2809808)Termination phase: shuffling
% 0.60/0.40 % (2809808)Time elapsed: 0.007 s
% 0.60/0.40 % (2809808)Peak memory usage: 10 MB
% 0.60/0.40 % (2809808)Instructions burned: 20 (million)
% 0.60/0.40 % (2809811)Instruction limit reached!
% 0.60/0.40 % (2809811)------------------------------
% 0.60/0.40 % (2809811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.40 % (2809811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.40 % (2809811)CaDiCaL version: 2.1.3
% 0.60/0.40 % (2809811)Termination reason: Instruction limit
% 0.60/0.40 % (2809811)Termination phase: shuffling
% 0.60/0.40 % (2809811)Time elapsed: 0.008 s
% 0.60/0.40 % (2809811)Peak memory usage: 10 MB
% 0.60/0.40 % (2809811)Instructions burned: 24 (million)
% 0.60/0.40 % (2809809)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3638217537:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.60/0.40 % (2809809)Instruction limit reached!
% 0.60/0.40 % (2809809)------------------------------
% 0.60/0.40 % (2809809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.40 % (2809809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.40 % (2809809)CaDiCaL version: 2.1.3
% 0.60/0.40 % (2809809)Termination reason: Instruction limit
% 0.60/0.40 % (2809809)Termination phase: shuffling
% 0.60/0.40 % (2809809)Time elapsed: 0.005 s
% 0.60/0.40 % (2809809)Peak memory usage: 10 MB
% 0.60/0.40 % (2809809)Instructions burned: 10 (million)
% 0.60/0.40 % (2809820)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1600119575:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.40 % (2809820)Instruction limit reached!
% 0.60/0.40 % (2809820)------------------------------
% 0.60/0.40 % (2809820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.43 % (2809820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.43 % (2809820)CaDiCaL version: 2.1.3
% 0.60/0.43 % (2809820)Termination reason: Instruction limit
% 0.60/0.43 % (2809820)Termination phase: shuffling
% 0.60/0.43 % (2809820)Time elapsed: 0.001 s
% 0.60/0.43 % (2809820)Peak memory usage: 10 MB
% 0.60/0.43 % (2809820)Instructions burned: 5 (million)
% 0.60/0.43 % (2809823)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.43 % (2809821)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1651291616:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.60/0.43 % (2809826)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
% 0.60/0.43 % (2809826)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.43 % (2809823)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=71758060:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.60/0.43 % (2809826)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=212550708:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.60/0.43 % (2809821)Instruction limit reached!
% 0.60/0.43 % (2809821)------------------------------
% 0.60/0.43 % (2809821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.43 % (2809821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.43 % (2809821)CaDiCaL version: 2.1.3
% 0.60/0.43 % (2809821)Termination reason: Instruction limit
% 0.60/0.43 % (2809821)Termination phase: shuffling
% 0.60/0.43 % (2809821)Time elapsed: 0.003 s
% 0.60/0.43 % (2809821)Peak memory usage: 10 MB
% 0.60/0.43 % (2809821)Instructions burned: 8 (million)
% 0.60/0.43 % (2809807)Instruction limit reached!
% 0.60/0.43 % (2809807)------------------------------
% 0.60/0.43 % (2809807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.43 % (2809807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.43 % (2809807)CaDiCaL version: 2.1.3
% 0.60/0.43 % (2809807)Termination reason: Instruction limit
% 0.60/0.43 % (2809807)Termination phase: Property scanning
% 0.60/0.43 % (2809807)Time elapsed: 0.031 s
% 0.60/0.43 % (2809807)Peak memory usage: 11 MB
% 0.60/0.43 % (2809807)Instructions burned: 88 (million)
% 0.60/0.43 % (2809823)Instruction limit reached!
% 0.60/0.43 % (2809823)------------------------------
% 0.60/0.43 % (2809823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.43 % (2809823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.43 % (2809823)CaDiCaL version: 2.1.3
% 0.60/0.43 % (2809823)Termination reason: Instruction limit
% 0.60/0.43 % (2809823)Termination phase: shuffling
% 0.60/0.43 % (2809823)Time elapsed: 0.003 s
% 0.60/0.43 % (2809823)Peak memory usage: 10 MB
% 0.60/0.43 % (2809823)Instructions burned: 8 (million)
% 0.60/0.43 % (2809826)Instruction limit reached!
% 0.60/0.43 % (2809826)------------------------------
% 0.60/0.43 % (2809826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.43 % (2809826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.43 % (2809826)CaDiCaL version: 2.1.3
% 0.60/0.43 % (2809826)Termination reason: Instruction limit
% 0.60/0.43 % (2809826)Termination phase: Property scanning
% 0.60/0.43 % (2809826)Time elapsed: 0.006 s
% 0.60/0.43 % (2809826)Peak memory usage: 10 MB
% 0.60/0.43 % (2809826)Instructions burned: 32 (million)
% 0.60/0.43 % (2809833)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3548232438:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.60/0.43 % (2809832)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.60/0.43 % (2809824)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3740361236:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.60/0.43 % (2809830)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=629999230:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.60/0.46 % (2809831)lrs+10_1_si=on:cs=on:random_seed=3424465515:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.60/0.46 % (2809832)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=821146658:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.46 % (2809824)Instruction limit reached!
% 0.60/0.46 % (2809824)------------------------------
% 0.60/0.46 % (2809824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.46 % (2809824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.46 % (2809824)CaDiCaL version: 2.1.3
% 0.60/0.46 % (2809824)Termination reason: Instruction limit
% 0.60/0.46 % (2809824)Termination phase: shuffling
% 0.60/0.46 % (2809824)Time elapsed: 0.005 s
% 0.60/0.46 % (2809824)Peak memory usage: 10 MB
% 0.60/0.46 % (2809824)Instructions burned: 14 (million)
% 0.60/0.46 % (2809832)Instruction limit reached!
% 0.60/0.46 % (2809832)------------------------------
% 0.60/0.46 % (2809832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.46 % (2809832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.46 % (2809832)CaDiCaL version: 2.1.3
% 0.60/0.46 % (2809832)Termination reason: Instruction limit
% 0.60/0.46 % (2809832)Termination phase: shuffling
% 0.60/0.46 % (2809832)Time elapsed: 0.003 s
% 0.60/0.46 % (2809831)Instruction limit reached!
% 0.60/0.46 % (2809831)------------------------------
% 0.60/0.46 % (2809831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.46 % (2809832)Peak memory usage: 10 MB
% 0.60/0.46 % (2809832)Instructions burned: 7 (million)
% 0.60/0.46 % (2809831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.46 % (2809831)CaDiCaL version: 2.1.3
% 0.60/0.46 % (2809831)Termination reason: Instruction limit
% 0.60/0.46 % (2809831)Termination phase: shuffling
% 0.60/0.46 % (2809831)Time elapsed: 0.004 s
% 0.60/0.46 % (2809831)Peak memory usage: 10 MB
% 0.60/0.46 % (2809831)Instructions burned: 10 (million)
% 0.60/0.46 % (2809833)Instruction limit reached!
% 0.60/0.46 % (2809833)------------------------------
% 0.60/0.46 % (2809833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.46 % (2809833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.46 % (2809833)CaDiCaL version: 2.1.3
% 0.60/0.46 % (2809833)Termination reason: Instruction limit
% 0.60/0.46 % (2809833)Termination phase: shuffling
% 0.60/0.46 % (2809833)Time elapsed: 0.008 s
% 0.60/0.46 % (2809833)Peak memory usage: 10 MB
% 0.60/0.46 % (2809833)Instructions burned: 46 (million)
% 0.60/0.46 % (2809842)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=260647619:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.60/0.46 % (2809813)Instruction limit reached!
% 0.60/0.46 % (2809813)------------------------------
% 0.60/0.46 % (2809813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.46 % (2809813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.46 % (2809813)CaDiCaL version: 2.1.3
% 0.60/0.46 % (2809813)Termination reason: Instruction limit
% 0.60/0.46 % (2809813)Termination phase: Property scanning
% 0.60/0.46 % (2809813)Time elapsed: 0.071 s
% 0.60/0.46 % (2809813)Peak memory usage: 11 MB
% 0.60/0.46 % (2809813)Instructions burned: 158 (million)
% 0.60/0.46 % (2809839)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4157068272:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.60/0.46 % (2809841)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=608130827:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.60/0.46 % (2809840)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1428835884:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.60/0.46 % (2809841)Instruction limit reached!
% 0.60/0.46 % (2809841)------------------------------
% 0.60/0.46 % (2809841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.46 % (2809841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.49 % (2809841)CaDiCaL version: 2.1.3
% 1.36/0.49 % (2809841)Termination reason: Instruction limit
% 1.36/0.49 % (2809841)Termination phase: shuffling
% 1.36/0.49 % (2809841)Time elapsed: 0.005 s
% 1.36/0.49 % (2809841)Peak memory usage: 10 MB
% 1.36/0.49 % (2809841)Instructions burned: 16 (million)
% 1.36/0.49 % (2809840)Instruction limit reached!
% 1.36/0.49 % (2809840)------------------------------
% 1.36/0.49 % (2809840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.49 % (2809840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.49 % (2809840)CaDiCaL version: 2.1.3
% 1.36/0.49 % (2809840)Termination reason: Instruction limit
% 1.36/0.49 % (2809840)Termination phase: shuffling
% 1.36/0.49 % (2809840)Time elapsed: 0.008 s
% 1.36/0.49 % (2809840)Peak memory usage: 10 MB
% 1.36/0.49 % (2809840)Instructions burned: 25 (million)
% 1.36/0.49 % (2809830)Instruction limit reached!
% 1.36/0.49 % (2809830)------------------------------
% 1.36/0.49 % (2809830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.49 % (2809830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.49 % (2809830)CaDiCaL version: 2.1.3
% 1.36/0.49 % (2809830)Termination reason: Instruction limit
% 1.36/0.49 % (2809830)Termination phase: Property scanning
% 1.36/0.49 % (2809830)Time elapsed: 0.033 s
% 1.36/0.49 % (2809830)Peak memory usage: 10 MB
% 1.36/0.49 % (2809830)Instructions burned: 87 (million)
% 1.36/0.49 % (2809844)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1084339240:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.36/0.49 % (2809844)Instruction limit reached!
% 1.36/0.49 % (2809844)------------------------------
% 1.36/0.49 % (2809844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.49 % (2809844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.49 % (2809844)CaDiCaL version: 2.1.3
% 1.36/0.49 % (2809844)Termination reason: Instruction limit
% 1.36/0.49 % (2809844)Termination phase: shuffling
% 1.36/0.49 % (2809844)Time elapsed: 0.005 s
% 1.36/0.49 % (2809844)Peak memory usage: 10 MB
% 1.36/0.49 % (2809844)Instructions burned: 15 (million)
% 1.36/0.49 % (2809848)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=310280580: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)
% 1.36/0.49 % (2809848)Instruction limit reached!
% 1.36/0.49 % (2809848)------------------------------
% 1.36/0.49 % (2809848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.49 % (2809848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.49 % (2809848)CaDiCaL version: 2.1.3
% 1.36/0.49 % (2809848)Termination reason: Instruction limit
% 1.36/0.49 % (2809848)Termination phase: shuffling
% 1.36/0.49 % (2809848)Time elapsed: 0.001 s
% 1.36/0.49 % (2809848)Peak memory usage: 10 MB
% 1.36/0.49 % (2809848)Instructions burned: 2 (million)
% 1.36/0.49 % (2809849)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2665769516:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.36/0.49 % (2809850)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=112354264:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.36/0.49 % (2809850)Instruction limit reached!
% 1.36/0.49 % (2809850)------------------------------
% 1.36/0.49 % (2809850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.49 % (2809850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.49 % (2809850)CaDiCaL version: 2.1.3
% 1.36/0.49 % (2809850)Termination reason: Instruction limit
% 1.36/0.49 % (2809850)Termination phase: shuffling
% 1.36/0.49 % (2809850)Time elapsed: 0.008 s
% 1.36/0.49 % (2809850)Peak memory usage: 10 MB
% 1.36/0.49 % (2809850)Instructions burned: 25 (million)
% 1.36/0.49 % (2809849)Instruction limit reached!
% 1.36/0.49 % (2809849)------------------------------
% 1.36/0.49 % (2809849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.49 % (2809849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.49 % (2809849)CaDiCaL version: 2.1.3
% 1.36/0.49 % (2809849)Termination reason: Instruction limit
% 1.36/0.49 % (2809849)Termination phase: Property scanning
% 1.36/0.49 % (2809849)Time elapsed: 0.010 s
% 1.36/0.49 % (2809849)Peak memory usage: 10 MB
% 1.36/0.49 % (2809849)Instructions burned: 27 (million)
% 1.36/0.55 % (2809854)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
% 1.36/0.55 % (2809854)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.36/0.55 % (2809852)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2898222571:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.36/0.55 % (2809854)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=2412356394:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.36/0.55 % (2809854)Instruction limit reached!
% 1.36/0.55 % (2809854)------------------------------
% 1.36/0.55 % (2809854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.55 % (2809854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.55 % (2809854)CaDiCaL version: 2.1.3
% 1.36/0.55 % (2809854)Termination reason: Instruction limit
% 1.36/0.55 % (2809854)Termination phase: Property scanning
% 1.36/0.55 % (2809854)Time elapsed: 0.006 s
% 1.36/0.55 % (2809854)Peak memory usage: 10 MB
% 1.36/0.55 % (2809854)Instructions burned: 16 (million)
% 1.36/0.55 % (2809857)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.36/0.55 % (2809858)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=2551729409:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.36/0.55 % (2809857)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=2446154499:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.36/0.55 % (2809842)Instruction limit reached!
% 1.36/0.55 % (2809842)------------------------------
% 1.36/0.55 % (2809842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.55 % (2809842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.55 % (2809842)CaDiCaL version: 2.1.3
% 1.36/0.55 % (2809842)Termination reason: Instruction limit
% 1.36/0.55 % (2809842)Termination phase: Saturation
% 1.36/0.55 % (2809842)Time elapsed: 0.067 s
% 1.36/0.55 % (2809842)Peak memory usage: 13 MB
% 1.36/0.55 % (2809842)Instructions burned: 328 (million)
% 1.36/0.55 % (2809857)Instruction limit reached!
% 1.36/0.55 % (2809857)------------------------------
% 1.36/0.55 % (2809857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.55 % (2809857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.55 % (2809857)CaDiCaL version: 2.1.3
% 1.36/0.55 % (2809857)Termination reason: Instruction limit
% 1.36/0.55 % (2809857)Termination phase: shuffling
% 1.36/0.55 % (2809857)Time elapsed: 0.004 s
% 1.36/0.55 % (2809857)Peak memory usage: 10 MB
% 1.36/0.55 % (2809857)Instructions burned: 10 (million)
% 1.36/0.55 % (2809852)Instruction limit reached!
% 1.36/0.55 % (2809852)------------------------------
% 1.36/0.55 % (2809852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.55 % (2809852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.55 % (2809852)CaDiCaL version: 2.1.3
% 1.36/0.55 % (2809852)Termination reason: Instruction limit
% 1.36/0.55 % (2809852)Termination phase: Property scanning
% 1.36/0.55 % (2809852)Time elapsed: 0.020 s
% 1.36/0.55 % (2809852)Peak memory usage: 10 MB
% 1.36/0.55 % (2809852)Instructions burned: 62 (million)
% 1.36/0.55 % (2809861)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=346392478:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.36/0.55 % (2809864)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3508966041:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.36/0.55 % (2809858)Instruction limit reached!
% 1.36/0.55 % (2809858)------------------------------
% 1.36/0.55 % (2809858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.55 % (2809858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (2809858)CaDiCaL version: 2.1.3
% 1.99/0.60 % (2809858)Termination reason: Instruction limit
% 1.99/0.60 % (2809858)Termination phase: Property scanning
% 1.99/0.60 % (2809858)Time elapsed: 0.013 s
% 1.99/0.60 % (2809858)Peak memory usage: 10 MB
% 1.99/0.60 % (2809858)Instructions burned: 32 (million)
% 1.99/0.60 % (2809861)Instruction limit reached!
% 1.99/0.60 % (2809861)------------------------------
% 1.99/0.60 % (2809861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (2809861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (2809861)CaDiCaL version: 2.1.3
% 1.99/0.60 % (2809861)Termination reason: Instruction limit
% 1.99/0.60 % (2809861)Termination phase: shuffling
% 1.99/0.60 % (2809861)Time elapsed: 0.003 s
% 1.99/0.60 % (2809861)Peak memory usage: 10 MB
% 1.99/0.60 % (2809861)Instructions burned: 7 (million)
% 1.99/0.60 % (2809864)Instruction limit reached!
% 1.99/0.60 % (2809864)------------------------------
% 1.99/0.60 % (2809864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (2809864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (2809864)CaDiCaL version: 2.1.3
% 1.99/0.60 % (2809864)Termination reason: Instruction limit
% 1.99/0.60 % (2809864)Termination phase: Property scanning
% 1.99/0.60 % (2809864)Time elapsed: 0.005 s
% 1.99/0.60 % (2809864)Peak memory usage: 10 MB
% 1.99/0.60 % (2809864)Instructions burned: 27 (million)
% 1.99/0.60 % (2809865)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3773577976:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.99/0.60 % (2809866)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2835750642:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.99/0.60 % (2809871)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2683069367:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.99/0.60 % (2809839)Refutation not found, incomplete strategy
% 1.99/0.60 % (2809839)------------------------------
% 1.99/0.60 % (2809839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (2809839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (2809839)CaDiCaL version: 2.1.3
% 1.99/0.60 % (2809839)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.60 % (2809839)Time elapsed: 0.088 s
% 1.99/0.60 % (2809839)Peak memory usage: 14 MB
% 1.99/0.60 % (2809839)Instructions burned: 230 (million)
% 1.99/0.60 % (2809865)Instruction limit reached!
% 1.99/0.60 % (2809865)------------------------------
% 1.99/0.60 % (2809865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (2809865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (2809865)CaDiCaL version: 2.1.3
% 1.99/0.60 % (2809865)Termination reason: Instruction limit
% 1.99/0.60 % (2809865)Termination phase: shuffling
% 1.99/0.60 % (2809865)Time elapsed: 0.007 s
% 1.99/0.60 % (2809865)Peak memory usage: 10 MB
% 1.99/0.60 % (2809865)Instructions burned: 22 (million)
% 1.99/0.60 % (2809839)------------------------------
% 1.99/0.60 % (2809839)------------------------------
% 1.99/0.60 % (2809869)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3217874020:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.99/0.60 % (2809870)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=889380071:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.99/0.60 % (2809871)Instruction limit reached!
% 1.99/0.60 % (2809871)------------------------------
% 1.99/0.60 % (2809871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.60 % (2809871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.60 % (2809871)CaDiCaL version: 2.1.3
% 1.99/0.60 % (2809871)Termination reason: Instruction limit
% 1.99/0.60 % (2809871)Termination phase: shuffling
% 1.99/0.60 % (2809871)Time elapsed: 0.007 s
% 1.99/0.60 % (2809871)Peak memory usage: 10 MB
% 1.99/0.60 % (2809871)Instructions burned: 43 (million)
% 1.99/0.60 % (2809879)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=2781583381:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.99/0.60 % (2809875)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.21/0.68 % (2809875)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1234000501:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.21/0.68 % (2809877)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2817878026:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.21/0.68 % (2809875)Instruction limit reached!
% 2.21/0.68 % (2809875)------------------------------
% 2.21/0.68 % (2809875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.68 % (2809875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.68 % (2809875)CaDiCaL version: 2.1.3
% 2.21/0.68 % (2809875)Termination reason: Instruction limit
% 2.21/0.68 % (2809875)Termination phase: shuffling
% 2.21/0.68 % (2809875)Time elapsed: 0.003 s
% 2.21/0.68 % (2809875)Peak memory usage: 10 MB
% 2.21/0.68 % (2809875)Instructions burned: 8 (million)
% 2.21/0.68 % (2809883)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.21/0.68 % (2809883)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1061412432:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.21/0.68 % (2809883)Instruction limit reached!
% 2.21/0.68 % (2809883)------------------------------
% 2.21/0.68 % (2809883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.68 % (2809883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.68 % (2809883)CaDiCaL version: 2.1.3
% 2.21/0.68 % (2809883)Termination reason: Instruction limit
% 2.21/0.68 % (2809883)Termination phase: shuffling
% 2.21/0.68 % (2809883)Time elapsed: 0.003 s
% 2.21/0.68 % (2809883)Peak memory usage: 10 MB
% 2.21/0.68 % (2809883)Instructions burned: 8 (million)
% 2.21/0.68 % (2809879)Instruction limit reached!
% 2.21/0.68 % (2809879)------------------------------
% 2.21/0.68 % (2809879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.68 % (2809879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.68 % (2809879)CaDiCaL version: 2.1.3
% 2.21/0.68 % (2809879)Termination reason: Instruction limit
% 2.21/0.68 % (2809879)Termination phase: Saturation
% 2.21/0.68 % (2809879)Time elapsed: 0.036 s
% 2.21/0.68 % (2809879)Peak memory usage: 12 MB
% 2.21/0.68 % (2809879)Instructions burned: 188 (million)
% 2.21/0.68 % (2809869)Instruction limit reached!
% 2.21/0.68 % (2809869)------------------------------
% 2.21/0.68 % (2809869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.68 % (2809869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.68 % (2809869)CaDiCaL version: 2.1.3
% 2.21/0.68 % (2809869)Termination reason: Instruction limit
% 2.21/0.68 % (2809869)Termination phase: Property scanning
% 2.21/0.68 % (2809869)Time elapsed: 0.051 s
% 2.21/0.68 % (2809869)Peak memory usage: 11 MB
% 2.21/0.68 % (2809869)Instructions burned: 143 (million)
% 2.21/0.68 % (2809886)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2079875329:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.21/0.68 % (2809885)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=812329988:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.21/0.68 % (2809886)Instruction limit reached!
% 2.21/0.68 % (2809886)------------------------------
% 2.21/0.68 % (2809886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.68 % (2809886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.68 % (2809886)CaDiCaL version: 2.1.3
% 2.21/0.68 % (2809886)Termination reason: Instruction limit
% 2.21/0.68 % (2809886)Termination phase: Property scanning
% 2.21/0.68 % (2809886)Time elapsed: 0.004 s
% 2.21/0.68 % (2809886)Peak memory usage: 10 MB
% 2.21/0.68 % (2809886)Instructions burned: 23 (million)
% 2.21/0.68 % (2809885)Instruction limit reached!
% 2.21/0.68 % (2809885)------------------------------
% 2.21/0.68 % (2809885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.68 % (2809885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.68 % (2809885)CaDiCaL version: 2.1.3
% 2.76/0.75 % (2809885)Termination reason: Instruction limit
% 2.76/0.75 % (2809885)Termination phase: shuffling
% 2.76/0.75 % (2809885)Time elapsed: 0.007 s
% 2.76/0.75 % (2809885)Peak memory usage: 10 MB
% 2.76/0.75 % (2809885)Instructions burned: 22 (million)
% 2.76/0.75 % (2809887)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=2307603517:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.76/0.75 % (2809870)Instruction limit reached!
% 2.76/0.75 % (2809870)------------------------------
% 2.76/0.75 % (2809870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.75 % (2809870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.75 % (2809870)CaDiCaL version: 2.1.3
% 2.76/0.75 % (2809870)Termination reason: Instruction limit
% 2.76/0.75 % (2809870)Termination phase: Saturation
% 2.76/0.75 % (2809870)Time elapsed: 0.071 s
% 2.76/0.75 % (2809870)Peak memory usage: 12 MB
% 2.76/0.75 % (2809870)Instructions burned: 194 (million)
% 2.76/0.75 % (2809890)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=1844245255:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.76/0.75 % (2809891)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=3352724074:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.76/0.75 % (2809893)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4099486362:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.76/0.75 % (2809877)Instruction limit reached!
% 2.76/0.75 % (2809877)------------------------------
% 2.76/0.75 % (2809877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.75 % (2809877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.75 % (2809877)CaDiCaL version: 2.1.3
% 2.76/0.75 % (2809877)Termination reason: Instruction limit
% 2.76/0.75 % (2809877)Termination phase: Saturation
% 2.76/0.75 % (2809877)Time elapsed: 0.074 s
% 2.76/0.75 % (2809877)Peak memory usage: 16 MB
% 2.76/0.75 % (2809877)Instructions burned: 181 (million)
% 2.76/0.75 % (2809891)Instruction limit reached!
% 2.76/0.75 % (2809891)------------------------------
% 2.76/0.75 % (2809891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.75 % (2809891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.75 % (2809891)CaDiCaL version: 2.1.3
% 2.76/0.75 % (2809891)Termination reason: Instruction limit
% 2.76/0.75 % (2809891)Termination phase: shuffling
% 2.76/0.75 % (2809891)Time elapsed: 0.016 s
% 2.76/0.75 % (2809891)Peak memory usage: 10 MB
% 2.76/0.75 % (2809891)Instructions burned: 47 (million)
% 2.76/0.75 % (2809897)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1519985046:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.76/0.75 % (2809810)Instruction limit reached!
% 2.76/0.75 % (2809810)------------------------------
% 2.76/0.75 % (2809810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.75 % (2809810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.75 % (2809810)CaDiCaL version: 2.1.3
% 2.76/0.75 % (2809810)Termination reason: Instruction limit
% 2.76/0.75 % (2809810)Termination phase: Saturation
% 2.76/0.75 % (2809810)Time elapsed: 0.280 s
% 2.76/0.75 % (2809810)Peak memory usage: 17 MB
% 2.76/0.75 % (2809810)Instructions burned: 635 (million)
% 2.76/0.75 % (2809898)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.76/0.75 % (2809897)Instruction limit reached!
% 2.76/0.75 % (2809897)------------------------------
% 2.76/0.75 % (2809897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.75 % (2809897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.75 % (2809897)CaDiCaL version: 2.1.3
% 2.76/0.75 % (2809897)Termination reason: Instruction limit
% 2.76/0.75 % (2809897)Termination phase: shuffling
% 2.76/0.75 % (2809897)Time elapsed: 0.007 s
% 2.76/0.75 % (2809897)Peak memory usage: 10 MB
% 2.76/0.75 % (2809897)Instructions burned: 22 (million)
% 3.48/0.83 % (2809898)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3112484118:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.48/0.83 % (2809900)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2326661692:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.48/0.83 % (2809901)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=3395698885:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.48/0.83 % (2809900)Instruction limit reached!
% 3.48/0.83 % (2809900)------------------------------
% 3.48/0.83 % (2809900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.48/0.83 % (2809900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/0.83 % (2809900)CaDiCaL version: 2.1.3
% 3.48/0.83 % (2809900)Termination reason: Instruction limit
% 3.48/0.83 % (2809900)Termination phase: shuffling
% 3.48/0.83 % (2809900)Time elapsed: 0.005 s
% 3.48/0.83 % (2809900)Peak memory usage: 10 MB
% 3.48/0.83 % (2809900)Instructions burned: 15 (million)
% 3.48/0.83 % (2809893)Refutation not found, incomplete strategy
% 3.48/0.83 % (2809893)------------------------------
% 3.48/0.83 % (2809893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.48/0.83 % (2809893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/0.83 % (2809893)CaDiCaL version: 2.1.3
% 3.48/0.83 % (2809893)Termination reason: Refutation not found, incomplete strategy
% 3.48/0.83 % (2809893)Time elapsed: 0.066 s
% 3.48/0.83 % (2809893)Peak memory usage: 15 MB
% 3.48/0.83 % (2809893)Instructions burned: 167 (million)
% 3.48/0.83 % (2809893)------------------------------
% 3.48/0.83 % (2809893)------------------------------
% 3.48/0.83 % (2809905)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1757585335:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.48/0.83 % (2809901)Instruction limit reached!
% 3.48/0.83 % (2809901)------------------------------
% 3.48/0.83 % (2809901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.48/0.83 % (2809901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/0.83 % (2809901)CaDiCaL version: 2.1.3
% 3.48/0.83 % (2809901)Termination reason: Instruction limit
% 3.48/0.83 % (2809901)Termination phase: Function definition elimination
% 3.48/0.83 % (2809901)Time elapsed: 0.025 s
% 3.48/0.83 % (2809901)Peak memory usage: 10 MB
% 3.48/0.83 % (2809901)Instructions burned: 66 (million)
% 3.48/0.83 % (2809905)Instruction limit reached!
% 3.48/0.83 % (2809905)------------------------------
% 3.48/0.83 % (2809905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.48/0.83 % (2809905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/0.83 % (2809905)CaDiCaL version: 2.1.3
% 3.48/0.83 % (2809905)Termination reason: Instruction limit
% 3.48/0.83 % (2809905)Termination phase: shuffling
% 3.48/0.83 % (2809905)Time elapsed: 0.017 s
% 3.48/0.83 % (2809905)Peak memory usage: 10 MB
% 3.48/0.83 % (2809905)Instructions burned: 53 (million)
% 3.48/0.83 % (2809906)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2268844917:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.48/0.83 % (2809908)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=327402536:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.48/0.83 % (2809887)Instruction limit reached!
% 3.48/0.83 % (2809887)------------------------------
% 3.48/0.83 % (2809887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.48/0.83 % (2809887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/0.83 % (2809887)CaDiCaL version: 2.1.3
% 3.48/0.83 % (2809887)Termination reason: Instruction limit
% 3.48/0.83 % (2809887)Termination phase: Saturation
% 3.48/0.83 % (2809887)Time elapsed: 0.122 s
% 3.48/0.83 % (2809887)Peak memory usage: 12 MB
% 3.48/0.83 % (2809887)Instructions burned: 318 (million)
% 3.48/0.83 % (2809906)Instruction limit reached!
% 3.48/0.83 % (2809906)------------------------------
% 3.48/0.83 % (2809906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.48/0.83 % (2809906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.94 % (2809906)CaDiCaL version: 2.1.3
% 3.95/0.94 % (2809906)Termination reason: Instruction limit
% 3.95/0.94 % (2809906)Termination phase: Property scanning
% 3.95/0.94 % (2809906)Time elapsed: 0.013 s
% 3.95/0.94 % (2809906)Peak memory usage: 10 MB
% 3.95/0.94 % (2809906)Instructions burned: 33 (million)
% 3.95/0.94 % (2809910)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=478323963:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.95/0.94 % (2809898)Instruction limit reached!
% 3.95/0.94 % (2809898)------------------------------
% 3.95/0.94 % (2809898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.94 % (2809898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.94 % (2809898)CaDiCaL version: 2.1.3
% 3.95/0.94 % (2809898)Termination reason: Instruction limit
% 3.95/0.94 % (2809898)Termination phase: Saturation
% 3.95/0.94 % (2809898)Time elapsed: 0.074 s
% 3.95/0.94 % (2809898)Peak memory usage: 11 MB
% 3.95/0.94 % (2809898)Instructions burned: 202 (million)
% 3.95/0.94 % (2809913)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.95/0.94 % (2809912)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1437170034:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.95/0.94 % (2809910)Instruction limit reached!
% 3.95/0.94 % (2809910)------------------------------
% 3.95/0.94 % (2809910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.94 % (2809910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.94 % (2809910)CaDiCaL version: 2.1.3
% 3.95/0.94 % (2809910)Termination reason: Instruction limit
% 3.95/0.94 % (2809910)Termination phase: Property scanning
% 3.95/0.94 % (2809910)Time elapsed: 0.014 s
% 3.95/0.94 % (2809910)Peak memory usage: 10 MB
% 3.95/0.94 % (2809910)Instructions burned: 35 (million)
% 3.95/0.94 % (2809913)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=33643213:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.95/0.94 % (2809915)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2763387842:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.95/0.94 % (2809918)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=620472930:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.95/0.94 % (2809912)Instruction limit reached!
% 3.95/0.94 % (2809912)------------------------------
% 3.95/0.94 % (2809912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.94 % (2809912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.94 % (2809912)CaDiCaL version: 2.1.3
% 3.95/0.94 % (2809912)Termination reason: Instruction limit
% 3.95/0.94 % (2809912)Termination phase: Property scanning
% 3.95/0.94 % (2809912)Time elapsed: 0.022 s
% 3.95/0.94 % (2809912)Peak memory usage: 10 MB
% 3.95/0.94 % (2809912)Instructions burned: 68 (million)
% 3.95/0.94 % (2809908)Instruction limit reached!
% 3.95/0.94 % (2809908)------------------------------
% 3.95/0.94 % (2809908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.94 % (2809908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.94 % (2809908)CaDiCaL version: 2.1.3
% 3.95/0.94 % (2809908)Termination reason: Instruction limit
% 3.95/0.94 % (2809908)Termination phase: Saturation
% 3.95/0.94 % (2809908)Time elapsed: 0.054 s
% 3.95/0.94 % (2809908)Peak memory usage: 12 MB
% 3.95/0.94 % (2809908)Instructions burned: 138 (million)
% 3.95/0.94 % (2809921)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3141338229:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.95/0.94 % (2809922)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=25858865:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.95/0.94 % (2809918)Instruction limit reached!
% 3.95/0.94 % (2809918)------------------------------
% 3.95/0.94 % (2809918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/0.94 % (2809918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/0.94 % (2809918)CaDiCaL version: 2.1.3
% 3.95/0.94 % (2809918)Termination reason: Instruction limit
% 3.95/0.94 % (2809918)Termination phase: Function definition elimination
% 3.95/1.01 % (2809918)Time elapsed: 0.034 s
% 3.95/1.01 % (2809918)Peak memory usage: 10 MB
% 3.95/1.01 % (2809918)Instructions burned: 97 (million)
% 3.95/1.01 % (2809913)Instruction limit reached!
% 3.95/1.01 % (2809913)------------------------------
% 3.95/1.01 % (2809913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/1.01 % (2809913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.01 % (2809913)CaDiCaL version: 2.1.3
% 3.95/1.01 % (2809913)Termination reason: Instruction limit
% 3.95/1.01 % (2809913)Termination phase: Saturation
% 3.95/1.01 % (2809913)Time elapsed: 0.070 s
% 3.95/1.01 % (2809913)Peak memory usage: 12 MB
% 3.95/1.01 % (2809913)Instructions burned: 181 (million)
% 3.95/1.01 % (2809925)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2828457570:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.95/1.01 % (2809890)Instruction limit reached!
% 3.95/1.01 % (2809890)------------------------------
% 3.95/1.01 % (2809890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/1.01 % (2809890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.01 % (2809890)CaDiCaL version: 2.1.3
% 3.95/1.01 % (2809890)Termination reason: Instruction limit
% 3.95/1.01 % (2809890)Termination phase: Saturation
% 3.95/1.01 % (2809890)Time elapsed: 0.214 s
% 3.95/1.01 % (2809890)Peak memory usage: 20 MB
% 3.95/1.01 % (2809890)Instructions burned: 856 (million)
% 3.95/1.01 % (2809928)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1826578356:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.95/1.01 % (2809926)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1531387034:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.95/1.01 % (2809915)Instruction limit reached!
% 3.95/1.01 % (2809915)------------------------------
% 3.95/1.01 % (2809915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/1.01 % (2809915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.01 % (2809915)CaDiCaL version: 2.1.3
% 3.95/1.01 % (2809915)Termination reason: Instruction limit
% 3.95/1.01 % (2809915)Termination phase: Saturation
% 3.95/1.01 % (2809915)Time elapsed: 0.092 s
% 3.95/1.01 % (2809915)Peak memory usage: 12 MB
% 3.95/1.01 % (2809915)Instructions burned: 247 (million)
% 3.95/1.01 % (2809928)Instruction limit reached!
% 3.95/1.01 % (2809928)------------------------------
% 3.95/1.01 % (2809928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/1.01 % (2809928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.01 % (2809928)CaDiCaL version: 2.1.3
% 3.95/1.01 % (2809928)Termination reason: Instruction limit
% 3.95/1.01 % (2809928)Termination phase: Function definition elimination
% 3.95/1.01 % (2809928)Time elapsed: 0.009 s
% 3.95/1.01 % (2809928)Peak memory usage: 10 MB
% 3.95/1.01 % (2809928)Instructions burned: 47 (million)
% 3.95/1.01 % (2809932)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2804524512:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.95/1.01 % (2809931)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=35641343:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.95/1.01 % (2809921)Refutation not found, incomplete strategy
% 3.95/1.01 % (2809921)------------------------------
% 3.95/1.01 % (2809921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/1.01 % (2809921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.01 % (2809921)CaDiCaL version: 2.1.3
% 3.95/1.01 % (2809921)Termination reason: Refutation not found, incomplete strategy
% 3.95/1.01 % (2809921)Time elapsed: 0.094 s
% 3.95/1.01 % (2809921)Peak memory usage: 18 MB
% 3.95/1.01 % (2809921)Instructions burned: 219 (million)
% 3.95/1.01 % (2809921)------------------------------
% 3.95/1.01 % (2809921)------------------------------
% 3.95/1.01 % (2809926)Instruction limit reached!
% 3.95/1.01 % (2809926)------------------------------
% 3.95/1.01 % (2809926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.95/1.01 % (2809926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.01 % (2809926)CaDiCaL version: 2.1.3
% 3.95/1.01 % (2809926)Termination reason: Instruction limit
% 3.95/1.01 % (2809926)Termination phase: Saturation
% 5.28/1.08 % (2809926)Time elapsed: 0.050 s
% 5.28/1.08 % (2809926)Peak memory usage: 11 MB
% 5.28/1.08 % (2809926)Instructions burned: 131 (million)
% 5.28/1.08 % (2809935)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3385956663:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 5.28/1.08 % (2809936)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=3770910725:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 5.28/1.08 % (2809931)Refutation not found, incomplete strategy
% 5.28/1.08 % (2809931)------------------------------
% 5.28/1.08 % (2809931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.08 % (2809931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.08 % (2809931)CaDiCaL version: 2.1.3
% 5.28/1.08 % (2809931)Termination reason: Refutation not found, incomplete strategy
% 5.28/1.08 % (2809931)Time elapsed: 0.068 s
% 5.28/1.08 % (2809931)Peak memory usage: 15 MB
% 5.28/1.08 % (2809931)Instructions burned: 171 (million)
% 5.28/1.08 % (2809936)Instruction limit reached!
% 5.28/1.08 % (2809936)------------------------------
% 5.28/1.08 % (2809936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.08 % (2809936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.08 % (2809936)CaDiCaL version: 2.1.3
% 5.28/1.08 % (2809936)Termination reason: Instruction limit
% 5.28/1.08 % (2809936)Termination phase: Function definition elimination
% 5.28/1.08 % (2809936)Time elapsed: 0.026 s
% 5.28/1.08 % (2809936)Peak memory usage: 10 MB
% 5.28/1.08 % (2809936)Instructions burned: 67 (million)
% 5.28/1.08 % (2809931)------------------------------
% 5.28/1.08 % (2809931)------------------------------
% 5.28/1.08 % (2809935)Instruction limit reached!
% 5.28/1.08 % (2809935)------------------------------
% 5.28/1.08 % (2809935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.08 % (2809935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.08 % (2809935)CaDiCaL version: 2.1.3
% 5.28/1.08 % (2809935)Termination reason: Instruction limit
% 5.28/1.08 % (2809935)Termination phase: Function definition elimination
% 5.28/1.08 % (2809935)Time elapsed: 0.034 s
% 5.28/1.08 % (2809935)Peak memory usage: 10 MB
% 5.28/1.08 % (2809935)Instructions burned: 97 (million)
% 5.28/1.08 % (2809939)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=706252687:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 5.28/1.08 % (2809940)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=941742515: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)
% 5.28/1.08 % (2809932)Instruction limit reached!
% 5.28/1.08 % (2809932)------------------------------
% 5.28/1.08 % (2809932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.08 % (2809932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.08 % (2809932)CaDiCaL version: 2.1.3
% 5.28/1.08 % (2809932)Termination reason: Instruction limit
% 5.28/1.08 % (2809932)Termination phase: Saturation
% 5.28/1.08 % (2809932)Time elapsed: 0.096 s
% 5.28/1.08 % (2809932)Peak memory usage: 15 MB
% 5.28/1.08 % (2809932)Instructions burned: 450 (million)
% 5.28/1.08 % (2809941)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=818949117:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.28/1.08 % (2809944)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1760483005:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 5.28/1.08 % (2809939)Instruction limit reached!
% 5.28/1.08 % (2809939)------------------------------
% 5.28/1.08 % (2809939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.28/1.08 % (2809939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/1.08 % (2809939)CaDiCaL version: 2.1.3
% 5.28/1.08 % (2809939)Termination reason: Instruction limit
% 5.28/1.08 % (2809939)Termination phase: Property scanning
% 5.57/1.18 % (2809939)Time elapsed: 0.041 s
% 5.57/1.18 % (2809939)Peak memory usage: 10 MB
% 5.57/1.18 % (2809939)Instructions burned: 107 (million)
% 5.57/1.18 % (2809947)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=3384808435:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.57/1.18 % (2809925)Instruction limit reached!
% 5.57/1.18 % (2809925)------------------------------
% 5.57/1.18 % (2809925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.57/1.18 % (2809925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.18 % (2809925)CaDiCaL version: 2.1.3
% 5.57/1.18 % (2809925)Termination reason: Instruction limit
% 5.57/1.18 % (2809925)Termination phase: Saturation
% 5.57/1.18 % (2809925)Time elapsed: 0.196 s
% 5.57/1.18 % (2809925)Peak memory usage: 14 MB
% 5.57/1.18 % (2809925)Instructions burned: 517 (million)
% 5.57/1.18 % (2809947)Instruction limit reached!
% 5.57/1.18 % (2809947)------------------------------
% 5.57/1.18 % (2809947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.57/1.18 % (2809947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.18 % (2809947)CaDiCaL version: 2.1.3
% 5.57/1.18 % (2809947)Termination reason: Instruction limit
% 5.57/1.18 % (2809947)Termination phase: Property scanning
% 5.57/1.18 % (2809947)Time elapsed: 0.014 s
% 5.57/1.18 % (2809947)Peak memory usage: 10 MB
% 5.57/1.18 % (2809947)Instructions burned: 35 (million)
% 5.57/1.18 % (2809866)Instruction limit reached!
% 5.57/1.18 % (2809866)------------------------------
% 5.57/1.18 % (2809866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.57/1.18 % (2809866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.18 % (2809866)CaDiCaL version: 2.1.3
% 5.57/1.18 % (2809866)Termination reason: Instruction limit
% 5.57/1.18 % (2809866)Termination phase: Saturation
% 5.57/1.18 % (2809866)Time elapsed: 0.502 s
% 5.57/1.18 % (2809866)Peak memory usage: 16 MB
% 5.57/1.18 % (2809866)Instructions burned: 1241 (million)
% 5.57/1.18 % (2809949)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1385765099:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 5.57/1.18 % (2809950)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=464818347:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.57/1.18 % (2809951)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3357963340:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 5.57/1.18 % (2809951)Instruction limit reached!
% 5.57/1.18 % (2809951)------------------------------
% 5.57/1.18 % (2809951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.57/1.18 % (2809951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.18 % (2809951)CaDiCaL version: 2.1.3
% 5.57/1.18 % (2809951)Termination reason: Instruction limit
% 5.57/1.18 % (2809951)Termination phase: shuffling
% 5.57/1.18 % (2809951)Time elapsed: 0.008 s
% 5.57/1.18 % (2809951)Peak memory usage: 10 MB
% 5.57/1.18 % (2809951)Instructions burned: 24 (million)
% 5.57/1.18 % (2809944)Instruction limit reached!
% 5.57/1.18 % (2809944)------------------------------
% 5.57/1.18 % (2809944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.57/1.18 % (2809944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.18 % (2809944)CaDiCaL version: 2.1.3
% 5.57/1.18 % (2809944)Termination reason: Instruction limit
% 5.57/1.18 % (2809944)Termination phase: Saturation
% 5.57/1.18 % (2809944)Time elapsed: 0.100 s
% 5.57/1.18 % (2809944)Peak memory usage: 13 MB
% 5.57/1.18 % (2809944)Instructions burned: 495 (million)
% 5.57/1.18 % (2809950)Instruction limit reached!
% 5.57/1.18 % (2809950)------------------------------
% 5.57/1.18 % (2809950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.57/1.18 % (2809950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.57/1.18 % (2809950)CaDiCaL version: 2.1.3
% 5.57/1.18 % (2809950)Termination reason: Instruction limit
% 5.57/1.18 % (2809950)Termination phase: Property scanning
% 5.57/1.18 % (2809950)Time elapsed: 0.022 s
% 5.57/1.18 % (2809950)Peak memory usage: 10 MB
% 5.57/1.18 % (2809950)Instructions burned: 66 (million)
% 5.57/1.18 % (2809949)Instruction limit reached!
% 5.57/1.18 % (2809949)------------------------------
% 6.67/1.32 % (2809949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.32 % (2809949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.32 % (2809949)CaDiCaL version: 2.1.3
% 6.67/1.32 % (2809949)Termination reason: Instruction limit
% 6.67/1.32 % (2809949)Termination phase: Property scanning
% 6.67/1.32 % (2809949)Time elapsed: 0.032 s
% 6.67/1.32 % (2809949)Peak memory usage: 11 MB
% 6.67/1.32 % (2809949)Instructions burned: 92 (million)
% 6.67/1.32 % (2809955)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=2674349552:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.67/1.32 % (2809957)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.67/1.32 % (2809957)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3997207653:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.67/1.32 % (2809956)lrs+10_1_sil=128000:si=on:urr=on:random_seed=448012815:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.67/1.32 % (2809958)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2320044866:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 6.67/1.32 % (2809956)Instruction limit reached!
% 6.67/1.32 % (2809956)------------------------------
% 6.67/1.32 % (2809956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.32 % (2809956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.32 % (2809956)CaDiCaL version: 2.1.3
% 6.67/1.32 % (2809956)Termination reason: Instruction limit
% 6.67/1.32 % (2809956)Termination phase: shuffling
% 6.67/1.32 % (2809956)Time elapsed: 0.009 s
% 6.67/1.32 % (2809956)Peak memory usage: 10 MB
% 6.67/1.32 % (2809956)Instructions burned: 29 (million)
% 6.67/1.32 % (2809941)Instruction limit reached!
% 6.67/1.32 % (2809941)------------------------------
% 6.67/1.32 % (2809941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.32 % (2809941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.32 % (2809941)CaDiCaL version: 2.1.3
% 6.67/1.32 % (2809941)Termination reason: Instruction limit
% 6.67/1.32 % (2809941)Termination phase: Saturation
% 6.67/1.32 % (2809941)Time elapsed: 0.141 s
% 6.67/1.32 % (2809941)Peak memory usage: 13 MB
% 6.67/1.32 % (2809941)Instructions burned: 377 (million)
% 6.67/1.32 % (2809957)Instruction limit reached!
% 6.67/1.32 % (2809957)------------------------------
% 6.67/1.32 % (2809957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.32 % (2809957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.32 % (2809957)CaDiCaL version: 2.1.3
% 6.67/1.32 % (2809957)Termination reason: Instruction limit
% 6.67/1.32 % (2809957)Termination phase: Saturation
% 6.67/1.32 % (2809957)Time elapsed: 0.029 s
% 6.67/1.32 % (2809957)Peak memory usage: 11 MB
% 6.67/1.32 % (2809957)Instructions burned: 140 (million)
% 6.67/1.32 % (2809964)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.67/1.32 % (2809963)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2015248297:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 6.67/1.32 % (2809964)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4056065543:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 6.67/1.32 % (2809965)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1237013740:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 6.67/1.32 % (2809922)Instruction limit reached!
% 6.67/1.32 % (2809922)------------------------------
% 6.67/1.32 % (2809922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.67/1.32 % (2809922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.32 % (2809922)CaDiCaL version: 2.1.3
% 6.67/1.32 % (2809922)Termination reason: Instruction limit
% 6.67/1.32 % (2809922)Termination phase: Saturation
% 7.35/1.49 % (2809922)Time elapsed: 0.342 s
% 7.35/1.49 % (2809922)Peak memory usage: 16 MB
% 7.35/1.49 % (2809922)Instructions burned: 874 (million)
% 7.35/1.49 % (2809965)Instruction limit reached!
% 7.35/1.49 % (2809965)------------------------------
% 7.35/1.49 % (2809965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2809965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2809965)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2809965)Termination reason: Instruction limit
% 7.35/1.49 % (2809965)Termination phase: Property scanning
% 7.35/1.49 % (2809965)Time elapsed: 0.022 s
% 7.35/1.49 % (2809965)Peak memory usage: 11 MB
% 7.35/1.49 % (2809965)Instructions burned: 119 (million)
% 7.35/1.49 % (2809970)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1416889752:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2991 on theBenchmark for (2991ds/270Mi)
% 7.35/1.49 % (2809969)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2319550957:i=575:rtra=on_2991 on theBenchmark for (2991ds/575Mi)
% 7.35/1.49 % (2809955)Instruction limit reached!
% 7.35/1.49 % (2809955)------------------------------
% 7.35/1.49 % (2809955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2809955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2809955)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2809955)Termination reason: Instruction limit
% 7.35/1.49 % (2809955)Termination phase: Saturation
% 7.35/1.49 % (2809955)Time elapsed: 0.130 s
% 7.35/1.49 % (2809955)Peak memory usage: 13 MB
% 7.35/1.49 % (2809955)Instructions burned: 338 (million)
% 7.35/1.49 % (2809970)Instruction limit reached!
% 7.35/1.49 % (2809970)------------------------------
% 7.35/1.49 % (2809970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2809970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2809970)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2809970)Termination reason: Instruction limit
% 7.35/1.49 % (2809970)Termination phase: Saturation
% 7.35/1.49 % (2809970)Time elapsed: 0.055 s
% 7.35/1.49 % (2809970)Peak memory usage: 12 MB
% 7.35/1.49 % (2809970)Instructions burned: 276 (million)
% 7.35/1.49 % (2809963)Instruction limit reached!
% 7.35/1.49 % (2809963)------------------------------
% 7.35/1.49 % (2809963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2809963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2809963)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2809963)Termination reason: Instruction limit
% 7.35/1.49 % (2809963)Termination phase: Saturation
% 7.35/1.49 % (2809963)Time elapsed: 0.095 s
% 7.35/1.49 % (2809963)Peak memory usage: 18 MB
% 7.35/1.49 % (2809963)Instructions burned: 228 (million)
% 7.35/1.49 % (2809973)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=495691658:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/9840Mi)
% 7.35/1.49 % (2809958)Instruction limit reached!
% 7.35/1.49 % (2809958)------------------------------
% 7.35/1.49 % (2809958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2809958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2809958)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2809958)Termination reason: Instruction limit
% 7.35/1.49 % (2809958)Termination phase: Saturation
% 7.35/1.49 % (2809958)Time elapsed: 0.131 s
% 7.35/1.49 % (2809958)Peak memory usage: 12 MB
% 7.35/1.49 % (2809958)Instructions burned: 342 (million)
% 7.35/1.49 % (2809974)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3945409342:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 7.35/1.49 % (2809975)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 7.35/1.49 % (2809975)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=966500203:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 7.35/1.49 % (2809977)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3020973633:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 8.36/1.80 % (2809977)Instruction limit reached!
% 8.36/1.80 % (2809977)------------------------------
% 8.36/1.80 % (2809977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.80 % (2809977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.80 % (2809977)CaDiCaL version: 2.1.3
% 8.36/1.80 % (2809977)Termination reason: Instruction limit
% 8.36/1.80 % (2809977)Termination phase: Property scanning
% 8.36/1.80 % (2809977)Time elapsed: 0.012 s
% 8.36/1.80 % (2809977)Peak memory usage: 10 MB
% 8.36/1.80 % (2809977)Instructions burned: 32 (million)
% 8.36/1.80 % (2809964)Instruction limit reached!
% 8.36/1.80 % (2809964)------------------------------
% 8.36/1.80 % (2809964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.80 % (2809964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.80 % (2809964)CaDiCaL version: 2.1.3
% 8.36/1.80 % (2809964)Termination reason: Instruction limit
% 8.36/1.80 % (2809964)Termination phase: Saturation
% 8.36/1.80 % (2809964)Time elapsed: 0.142 s
% 8.36/1.80 % (2809964)Peak memory usage: 12 MB
% 8.36/1.80 % (2809964)Instructions burned: 374 (million)
% 8.36/1.80 % (2809981)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.36/1.80 % (2809981)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
% 8.36/1.80 % (2809981)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=1392323118:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2990 on theBenchmark for (2990ds/1440Mi)
% 8.36/1.80 % (2809982)dis+10_2_sil=128000:si=on:random_seed=3887941066:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 8.36/1.80 % (2809974)Refutation not found, incomplete strategy
% 8.36/1.80 % (2809974)------------------------------
% 8.36/1.80 % (2809974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.80 % (2809974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.80 % (2809974)CaDiCaL version: 2.1.3
% 8.36/1.80 % (2809974)Termination reason: Refutation not found, incomplete strategy
% 8.36/1.80 % (2809974)Time elapsed: 0.089 s
% 8.36/1.80 % (2809974)Peak memory usage: 17 MB
% 8.36/1.80 % (2809974)Instructions burned: 215 (million)
% 8.36/1.80 % (2809974)------------------------------
% 8.36/1.80 % (2809974)------------------------------
% 8.36/1.80 % (2809975)Instruction limit reached!
% 8.36/1.80 % (2809975)------------------------------
% 8.36/1.80 % (2809975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.80 % (2809975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.80 % (2809975)CaDiCaL version: 2.1.3
% 8.36/1.80 % (2809975)Termination reason: Instruction limit
% 8.36/1.80 % (2809975)Termination phase: Saturation
% 8.36/1.80 % (2809975)Time elapsed: 0.100 s
% 8.36/1.80 % (2809975)Peak memory usage: 11 MB
% 8.36/1.80 % (2809975)Instructions burned: 272 (million)
% 8.36/1.80 % (2809985)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1109058221:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 8.36/1.80 % (2809986)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=1697833698:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/122Mi)
% 8.36/1.80 % (2809969)Instruction limit reached!
% 8.36/1.80 % (2809969)------------------------------
% 8.36/1.80 % (2809969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.80 % (2809969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.80 % (2809969)CaDiCaL version: 2.1.3
% 8.36/1.80 % (2809969)Termination reason: Instruction limit
% 8.36/1.80 % (2809969)Termination phase: Saturation
% 8.36/1.80 % (2809969)Time elapsed: 0.217 s
% 8.36/1.80 % (2809969)Peak memory usage: 13 MB
% 8.36/1.80 % (2809969)Instructions burned: 576 (million)
% 8.36/1.80 % (2809985)Instruction limit reached!
% 8.36/1.80 % (2809985)------------------------------
% 8.36/1.80 % (2809985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.51/1.91 % (2809985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/1.91 % (2809985)CaDiCaL version: 2.1.3
% 10.51/1.91 % (2809985)Termination reason: Instruction limit
% 10.51/1.91 % (2809985)Termination phase: Property scanning
% 10.51/1.91 % (2809985)Time elapsed: 0.040 s
% 10.51/1.91 % (2809985)Peak memory usage: 11 MB
% 10.51/1.91 % (2809985)Instructions burned: 113 (million)
% 10.51/1.91 % (2809989)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=3205728838:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/136Mi)
% 10.51/1.91 % (2809986)Instruction limit reached!
% 10.51/1.91 % (2809986)------------------------------
% 10.51/1.91 % (2809986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.51/1.91 % (2809986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/1.91 % (2809986)CaDiCaL version: 2.1.3
% 10.51/1.91 % (2809986)Termination reason: Instruction limit
% 10.51/1.91 % (2809986)Termination phase: Property scanning
% 10.51/1.91 % (2809986)Time elapsed: 0.043 s
% 10.51/1.91 % (2809986)Peak memory usage: 11 MB
% 10.51/1.91 % (2809986)Instructions burned: 123 (million)
% 10.51/1.91 % (2809990)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=930342107:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/232Mi)
% 10.51/1.91 % (2809992)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=516472011:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/1254Mi)
% 10.51/1.91 % (2809982)Instruction limit reached!
% 10.51/1.91 % (2809982)------------------------------
% 10.51/1.91 % (2809982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.51/1.91 % (2809982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/1.91 % (2809982)CaDiCaL version: 2.1.3
% 10.51/1.91 % (2809982)Termination reason: Instruction limit
% 10.51/1.91 % (2809982)Termination phase: Saturation
% 10.51/1.91 % (2809982)Time elapsed: 0.139 s
% 10.51/1.91 % (2809982)Peak memory usage: 16 MB
% 10.51/1.91 % (2809982)Instructions burned: 339 (million)
% 10.51/1.91 % (2809995)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 10.51/1.91 % (2809995)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3610623218:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2989 on theBenchmark for (2989ds/281Mi)
% 10.51/1.91 % (2809989)Instruction limit reached!
% 10.51/1.91 % (2809989)------------------------------
% 10.51/1.91 % (2809989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.51/1.91 % (2809989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/1.91 % (2809989)CaDiCaL version: 2.1.3
% 10.51/1.91 % (2809989)Termination reason: Instruction limit
% 10.51/1.91 % (2809989)Termination phase: Property scanning
% 10.51/1.91 % (2809989)Time elapsed: 0.049 s
% 10.51/1.91 % (2809989)Peak memory usage: 10 MB
% 10.51/1.91 % (2809989)Instructions burned: 137 (million)
% 10.51/1.91 % (2809997)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2685993825:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 10.51/1.91 % (2809990)Instruction limit reached!
% 10.51/1.91 % (2809990)------------------------------
% 10.51/1.91 % (2809990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.51/1.91 % (2809990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/1.91 % (2809990)CaDiCaL version: 2.1.3
% 10.51/1.91 % (2809990)Termination reason: Instruction limit
% 10.51/1.91 % (2809990)Termination phase: Saturation
% 10.51/1.91 % (2809990)Time elapsed: 0.102 s
% 10.51/1.91 % (2809990)Peak memory usage: 14 MB
% 10.51/1.91 % (2809990)Instructions burned: 233 (million)
% 10.51/1.91 % (2809999)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=3684387767:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 10.51/1.91 % (2809995)Instruction limit reached!
% 10.51/1.91 % (2809995)------------------------------
% 10.51/1.91 % (2809995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.43/2.12 % (2809995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.12 % (2809995)CaDiCaL version: 2.1.3
% 12.43/2.12 % (2809995)Termination reason: Instruction limit
% 12.43/2.12 % (2809995)Termination phase: Saturation
% 12.43/2.12 % (2809995)Time elapsed: 0.108 s
% 12.43/2.12 % (2809995)Peak memory usage: 12 MB
% 12.43/2.12 % (2809995)Instructions burned: 282 (million)
% 12.43/2.12 % (2810001)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1475481309:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 12.43/2.12 % (2810001)Instruction limit reached!
% 12.43/2.12 % (2810001)------------------------------
% 12.43/2.12 % (2810001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.43/2.12 % (2810001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.12 % (2810001)CaDiCaL version: 2.1.3
% 12.43/2.12 % (2810001)Termination reason: Instruction limit
% 12.43/2.12 % (2810001)Termination phase: Saturation
% 12.43/2.12 % (2810001)Time elapsed: 0.079 s
% 12.43/2.12 % (2810001)Peak memory usage: 12 MB
% 12.43/2.12 % (2810001)Instructions burned: 213 (million)
% 12.43/2.12 % (2810003)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2647667908:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/130Mi)
% 12.43/2.12 % (2809997)Instruction limit reached!
% 12.43/2.12 % (2809997)------------------------------
% 12.43/2.12 % (2809997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.43/2.12 % (2809997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.12 % (2809997)CaDiCaL version: 2.1.3
% 12.43/2.12 % (2809997)Termination reason: Instruction limit
% 12.43/2.12 % (2809997)Termination phase: Saturation
% 12.43/2.12 % (2809997)Time elapsed: 0.239 s
% 12.43/2.12 % (2809997)Peak memory usage: 14 MB
% 12.43/2.12 % (2809997)Instructions burned: 621 (million)
% 12.43/2.12 % (2810003)Instruction limit reached!
% 12.43/2.12 % (2810003)------------------------------
% 12.43/2.12 % (2810003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.43/2.12 % (2810003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.12 % (2810003)CaDiCaL version: 2.1.3
% 12.43/2.12 % (2810003)Termination reason: Instruction limit
% 12.43/2.12 % (2810003)Termination phase: Property scanning
% 12.43/2.12 % (2810003)Time elapsed: 0.047 s
% 12.43/2.12 % (2810003)Peak memory usage: 11 MB
% 12.43/2.12 % (2810003)Instructions burned: 131 (million)
% 12.43/2.12 % (2810005)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1652893062:st=1.5:i=346:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/346Mi)
% 12.43/2.12 % (2810006)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3205639529:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/152Mi)
% 12.43/2.12 % (2810006)Instruction limit reached!
% 12.43/2.12 % (2810006)------------------------------
% 12.43/2.12 % (2810006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.43/2.12 % (2810006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.12 % (2810006)CaDiCaL version: 2.1.3
% 12.43/2.12 % (2810006)Termination reason: Instruction limit
% 12.43/2.12 % (2810006)Termination phase: Property scanning
% 12.43/2.12 % (2810006)Time elapsed: 0.055 s
% 12.43/2.12 % (2810006)Peak memory usage: 11 MB
% 12.43/2.12 % (2810006)Instructions burned: 153 (million)
% 12.43/2.12 % (2810009)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3384625969:i=75:ep=R:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/75Mi)
% 12.43/2.12 % (2810009)Instruction limit reached!
% 12.43/2.12 % (2810009)------------------------------
% 12.43/2.12 % (2810009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.43/2.12 % (2810009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.12 % (2810009)CaDiCaL version: 2.1.3
% 12.43/2.12 % (2810009)Termination reason: Instruction limit
% 12.43/2.12 % (2810009)Termination phase: Property scanning
% 12.43/2.12 % (2810009)Time elapsed: 0.029 s
% 12.43/2.12 % (2810009)Peak memory usage: 10 MB
% 12.43/2.12 % (2810009)Instructions burned: 77 (million)
% 12.43/2.12 % (2810005)Instruction limit reached!
% 12.43/2.12 % (2810005)------------------------------
% 12.43/2.12 % (2810005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.43/2.12 % (2810005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.12 % (2810005)CaDiCaL version: 2.1.3
% 14.19/2.31 % (2810005)Termination reason: Instruction limit
% 14.19/2.31 % (2810005)Termination phase: Saturation
% 14.19/2.31 % (2810005)Time elapsed: 0.133 s
% 14.19/2.31 % (2810005)Peak memory usage: 12 MB
% 14.19/2.31 % (2810005)Instructions burned: 346 (million)
% 14.19/2.31 % (2810011)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1089782711:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/387Mi)
% 14.19/2.31 % (2809981)Instruction limit reached!
% 14.19/2.31 % (2809981)------------------------------
% 14.19/2.31 % (2809981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.31 % (2809981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.31 % (2809981)CaDiCaL version: 2.1.3
% 14.19/2.31 % (2809981)Termination reason: Instruction limit
% 14.19/2.31 % (2809981)Termination phase: Saturation
% 14.19/2.31 % (2809981)Time elapsed: 0.592 s
% 14.19/2.31 % (2809981)Peak memory usage: 27 MB
% 14.19/2.31 % (2809981)Instructions burned: 1442 (million)
% 14.19/2.31 % (2809999)Instruction limit reached!
% 14.19/2.31 % (2809999)------------------------------
% 14.19/2.31 % (2809999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.31 % (2809999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.31 % (2809999)CaDiCaL version: 2.1.3
% 14.19/2.31 % (2809999)Termination reason: Instruction limit
% 14.19/2.31 % (2809999)Termination phase: Saturation
% 14.19/2.31 % (2809999)Time elapsed: 0.347 s
% 14.19/2.31 % (2809999)Peak memory usage: 16 MB
% 14.19/2.31 % (2809999)Instructions burned: 865 (million)
% 14.19/2.31 % (2810012)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=1403002375:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2984 on theBenchmark for (2984ds/148Mi)
% 14.19/2.31 % (2810014)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=580639301:i=161:piset=and:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/161Mi)
% 14.19/2.31 % (2810015)lrs+10_1_sil=128000:si=on:random_seed=983625689:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/888Mi)
% 14.19/2.31 % (2809992)Instruction limit reached!
% 14.19/2.31 % (2809992)------------------------------
% 14.19/2.31 % (2809992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.31 % (2809992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.31 % (2809992)CaDiCaL version: 2.1.3
% 14.19/2.31 % (2809992)Termination reason: Instruction limit
% 14.19/2.31 % (2809992)Termination phase: Saturation
% 14.19/2.31 % (2809992)Time elapsed: 0.488 s
% 14.19/2.31 % (2809992)Peak memory usage: 16 MB
% 14.19/2.31 % (2809992)Instructions burned: 1255 (million)
% 14.19/2.31 % (2810019)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=557292726:i=136:add=on:ins=4:rtra=on:sup=off_2984 on theBenchmark for (2984ds/136Mi)
% 14.19/2.31 % (2810012)Instruction limit reached!
% 14.19/2.31 % (2810012)------------------------------
% 14.19/2.31 % (2810012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.31 % (2810012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.31 % (2810012)CaDiCaL version: 2.1.3
% 14.19/2.31 % (2810012)Termination reason: Instruction limit
% 14.19/2.31 % (2810012)Termination phase: Saturation
% 14.19/2.31 % (2810012)Time elapsed: 0.063 s
% 14.19/2.31 % (2810012)Peak memory usage: 12 MB
% 14.19/2.31 % (2810012)Instructions burned: 150 (million)
% 14.19/2.31 % (2810014)Instruction limit reached!
% 14.19/2.31 % (2810014)------------------------------
% 14.19/2.31 % (2810014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.19/2.31 % (2810014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.31 % (2810014)CaDiCaL version: 2.1.3
% 14.19/2.31 % (2810014)Termination reason: Instruction limit
% 14.19/2.31 % (2810014)Termination phase: Property scanning
% 14.19/2.31 % (2810014)Time elapsed: 0.058 s
% 14.19/2.31 % (2810014)Peak memory usage: 10 MB
% 14.19/2.31 % (2810014)Instructions burned: 161 (million)
% 14.19/2.31 % (2810021)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=1446159950:i=88:s2at=3:nm=2:rtra=on:rawr=on_2983 on theBenchmark for (2983ds/88Mi)
% 14.19/2.31 % (2810022)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=237820064:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2983 on theBenchmark for (2983ds/93Mi)
% 15.04/2.52 % (2810019)Instruction limit reached!
% 15.04/2.52 % (2810019)------------------------------
% 15.04/2.52 % (2810019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.04/2.52 % (2810019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/2.52 % (2810019)CaDiCaL version: 2.1.3
% 15.04/2.52 % (2810019)Termination reason: Instruction limit
% 15.04/2.52 % (2810019)Termination phase: Property scanning
% 15.04/2.52 % (2810019)Time elapsed: 0.049 s
% 15.04/2.52 % (2810019)Peak memory usage: 11 MB
% 15.04/2.52 % (2810019)Instructions burned: 137 (million)
% 15.04/2.52 % (2810021)Instruction limit reached!
% 15.04/2.52 % (2810021)------------------------------
% 15.04/2.52 % (2810021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.04/2.52 % (2810021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/2.52 % (2810021)CaDiCaL version: 2.1.3
% 15.04/2.52 % (2810021)Termination reason: Instruction limit
% 15.04/2.52 % (2810021)Termination phase: Property scanning
% 15.04/2.52 % (2810021)Time elapsed: 0.034 s
% 15.04/2.52 % (2810021)Peak memory usage: 11 MB
% 15.04/2.52 % (2810021)Instructions burned: 89 (million)
% 15.04/2.52 % (2810025)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=163383548:i=2186:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/2186Mi)
% 15.04/2.52 % (2810022)Instruction limit reached!
% 15.04/2.52 % (2810022)------------------------------
% 15.04/2.52 % (2810022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.04/2.52 % (2810022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/2.52 % (2810022)CaDiCaL version: 2.1.3
% 15.04/2.52 % (2810022)Termination reason: Instruction limit
% 15.04/2.52 % (2810022)Termination phase: Property scanning
% 15.04/2.52 % (2810022)Time elapsed: 0.036 s
% 15.04/2.52 % (2810022)Peak memory usage: 11 MB
% 15.04/2.52 % (2810022)Instructions burned: 94 (million)
% 15.04/2.52 % (2810026)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1556917313:s2a=on:i=240:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/240Mi)
% 15.04/2.52 % (2810011)Instruction limit reached!
% 15.04/2.52 % (2810011)------------------------------
% 15.04/2.52 % (2810011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.04/2.52 % (2810011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/2.52 % (2810011)CaDiCaL version: 2.1.3
% 15.04/2.52 % (2810011)Termination reason: Instruction limit
% 15.04/2.52 % (2810011)Termination phase: Saturation
% 15.04/2.52 % (2810011)Time elapsed: 0.150 s
% 15.04/2.52 % (2810011)Peak memory usage: 12 MB
% 15.04/2.52 % (2810011)Instructions burned: 389 (million)
% 15.04/2.52 % (2810028)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=641002095:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2983 on theBenchmark for (2983ds/805Mi)
% 15.04/2.52 % (2810030)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 15.04/2.52 % (2810030)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=327890586:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2983 on theBenchmark for (2983ds/391Mi)
% 15.04/2.52 % (2810026)Instruction limit reached!
% 15.04/2.52 % (2810026)------------------------------
% 15.04/2.52 % (2810026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.04/2.52 % (2810026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/2.52 % (2810026)CaDiCaL version: 2.1.3
% 15.04/2.52 % (2810026)Termination reason: Instruction limit
% 15.04/2.52 % (2810026)Termination phase: Saturation
% 15.04/2.52 % (2810026)Time elapsed: 0.090 s
% 15.04/2.52 % (2810026)Peak memory usage: 12 MB
% 15.04/2.52 % (2810026)Instructions burned: 242 (million)
% 15.04/2.52 % (2810033)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3348058517:i=355:av=off:fsr=off:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/355Mi)
% 15.04/2.52 % (2810030)Instruction limit reached!
% 15.04/2.52 % (2810030)------------------------------
% 15.04/2.52 % (2810030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.04/2.52 % (2810030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/2.75 % (2810030)CaDiCaL version: 2.1.3
% 16.49/2.75 % (2810030)Termination reason: Instruction limit
% 16.49/2.75 % (2810030)Termination phase: Saturation
% 16.49/2.75 % (2810030)Time elapsed: 0.150 s
% 16.49/2.75 % (2810030)Peak memory usage: 12 MB
% 16.49/2.75 % (2810030)Instructions burned: 392 (million)
% 16.49/2.75 % (2810035)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=395823053:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/314Mi)
% 16.49/2.75 % (2810015)Instruction limit reached!
% 16.49/2.75 % (2810015)------------------------------
% 16.49/2.75 % (2810015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/2.75 % (2810015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/2.75 % (2810015)CaDiCaL version: 2.1.3
% 16.49/2.75 % (2810015)Termination reason: Instruction limit
% 16.49/2.75 % (2810015)Termination phase: Saturation
% 16.49/2.75 % (2810015)Time elapsed: 0.350 s
% 16.49/2.75 % (2810015)Peak memory usage: 16 MB
% 16.49/2.75 % (2810015)Instructions burned: 888 (million)
% 16.49/2.75 % (2810033)Instruction limit reached!
% 16.49/2.75 % (2810033)------------------------------
% 16.49/2.75 % (2810033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/2.75 % (2810033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/2.75 % (2810033)CaDiCaL version: 2.1.3
% 16.49/2.75 % (2810033)Termination reason: Instruction limit
% 16.49/2.75 % (2810033)Termination phase: Saturation
% 16.49/2.75 % (2810033)Time elapsed: 0.136 s
% 16.49/2.75 % (2810033)Peak memory usage: 13 MB
% 16.49/2.75 % (2810033)Instructions burned: 356 (million)
% 16.49/2.75 % (2810037)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3039156699:s2a=on:i=251:fsr=off:rtra=on_2980 on theBenchmark for (2980ds/251Mi)
% 16.49/2.75 % (2810038)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=2371536744:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2980 on theBenchmark for (2980ds/2470Mi)
% 16.49/2.75 % (2810035)Refutation not found, incomplete strategy
% 16.49/2.75 % (2810035)------------------------------
% 16.49/2.75 % (2810035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/2.75 % (2810035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/2.75 % (2810035)CaDiCaL version: 2.1.3
% 16.49/2.75 % (2810035)Termination reason: Refutation not found, incomplete strategy
% 16.49/2.75 % (2810035)Time elapsed: 0.100 s
% 16.49/2.75 % (2810035)Peak memory usage: 17 MB
% 16.49/2.75 % (2810035)Instructions burned: 237 (million)
% 16.49/2.75 % (2810035)------------------------------
% 16.49/2.75 % (2810035)------------------------------
% 16.49/2.75 % (2810041)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1198555570:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2980 on theBenchmark for (2980ds/673Mi)
% 16.49/2.75 % (2810028)Instruction limit reached!
% 16.49/2.75 % (2810028)------------------------------
% 16.49/2.75 % (2810028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/2.75 % (2810028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/2.75 % (2810028)CaDiCaL version: 2.1.3
% 16.49/2.75 % (2810028)Termination reason: Instruction limit
% 16.49/2.75 % (2810028)Termination phase: Saturation
% 16.49/2.75 % (2810028)Time elapsed: 0.320 s
% 16.49/2.75 % (2810028)Peak memory usage: 18 MB
% 16.49/2.75 % (2810028)Instructions burned: 805 (million)
% 16.49/2.75 % (2810037)Instruction limit reached!
% 16.49/2.75 % (2810037)------------------------------
% 16.49/2.75 % (2810037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.49/2.75 % (2810037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.49/2.75 % (2810037)CaDiCaL version: 2.1.3
% 16.49/2.75 % (2810037)Termination reason: Instruction limit
% 16.49/2.75 % (2810037)Termination phase: Saturation
% 16.49/2.75 % (2810037)Time elapsed: 0.093 s
% 16.49/2.75 % (2810037)Peak memory usage: 12 MB
% 16.49/2.75 % (2810037)Instructions burned: 252 (million)
% 16.49/2.75 % (2810043)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1081187590:i=116:ep=RSTC:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/116Mi)
% 16.49/2.75 % (2810044)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1007527663:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2979 on theBenchmark for (2979ds/270Mi)
% 19.53/3.05 % (2810043)Instruction limit reached!
% 19.53/3.05 % (2810043)------------------------------
% 19.53/3.05 % (2810043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.05 % (2810043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.05 % (2810043)CaDiCaL version: 2.1.3
% 19.53/3.05 % (2810043)Termination reason: Instruction limit
% 19.53/3.05 % (2810043)Termination phase: Property scanning
% 19.53/3.05 % (2810043)Time elapsed: 0.041 s
% 19.53/3.05 % (2810043)Peak memory usage: 11 MB
% 19.53/3.05 % (2810043)Instructions burned: 117 (million)
% 19.53/3.05 % (2810047)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=2157252721:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/30Mi)
% 19.53/3.05 % (2810047)Instruction limit reached!
% 19.53/3.05 % (2810047)------------------------------
% 19.53/3.05 % (2810047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.05 % (2810047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.05 % (2810047)CaDiCaL version: 2.1.3
% 19.53/3.05 % (2810047)Termination reason: Instruction limit
% 19.53/3.05 % (2810047)Termination phase: shuffling
% 19.53/3.05 % (2810047)Time elapsed: 0.012 s
% 19.53/3.05 % (2810047)Peak memory usage: 10 MB
% 19.53/3.05 % (2810047)Instructions burned: 32 (million)
% 19.53/3.05 % (2810049)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 19.53/3.05 % (2810049)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1268212722:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2978 on theBenchmark for (2978ds/39Mi)
% 19.53/3.05 % (2810049)Instruction limit reached!
% 19.53/3.05 % (2810049)------------------------------
% 19.53/3.05 % (2810049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.05 % (2810049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.05 % (2810049)CaDiCaL version: 2.1.3
% 19.53/3.05 % (2810049)Termination reason: Instruction limit
% 19.53/3.05 % (2810049)Termination phase: Property scanning
% 19.53/3.05 % (2810049)Time elapsed: 0.016 s
% 19.53/3.05 % (2810049)Peak memory usage: 10 MB
% 19.53/3.05 % (2810049)Instructions burned: 41 (million)
% 19.53/3.05 % (2810044)Instruction limit reached!
% 19.53/3.05 % (2810044)------------------------------
% 19.53/3.05 % (2810044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.05 % (2810044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.05 % (2810044)CaDiCaL version: 2.1.3
% 19.53/3.05 % (2810044)Termination reason: Instruction limit
% 19.53/3.05 % (2810044)Termination phase: Saturation
% 19.53/3.05 % (2810044)Time elapsed: 0.103 s
% 19.53/3.05 % (2810044)Peak memory usage: 12 MB
% 19.53/3.05 % (2810044)Instructions burned: 270 (million)
% 19.53/3.05 % (2810051)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1312653130:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/365Mi)
% 19.53/3.05 % (2810052)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3527981310:i=158:av=off:rtra=on_2978 on theBenchmark for (2978ds/158Mi)
% 19.53/3.05 % (2810052)Instruction limit reached!
% 19.53/3.05 % (2810052)------------------------------
% 19.53/3.05 % (2810052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.05 % (2810052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.05 % (2810052)CaDiCaL version: 2.1.3
% 19.53/3.05 % (2810052)Termination reason: Instruction limit
% 19.53/3.05 % (2810052)Termination phase: Saturation
% 19.53/3.05 % (2810052)Time elapsed: 0.066 s
% 19.53/3.05 % (2810052)Peak memory usage: 12 MB
% 19.53/3.05 % (2810052)Instructions burned: 158 (million)
% 19.53/3.05 % (2810055)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 19.53/3.05 % (2810055)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=116852720:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/252Mi)
% 20.33/3.22 % (2810041)Instruction limit reached!
% 20.33/3.22 % (2810041)------------------------------
% 20.33/3.22 % (2810041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.22 % (2810041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.22 % (2810041)CaDiCaL version: 2.1.3
% 20.33/3.22 % (2810041)Termination reason: Instruction limit
% 20.33/3.22 % (2810041)Termination phase: Saturation
% 20.33/3.22 % (2810041)Time elapsed: 0.256 s
% 20.33/3.22 % (2810041)Peak memory usage: 14 MB
% 20.33/3.22 % (2810041)Instructions burned: 676 (million)
% 20.33/3.22 % (2810057)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1608813724:i=213:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/213Mi)
% 20.33/3.22 % (2810051)Instruction limit reached!
% 20.33/3.22 % (2810051)------------------------------
% 20.33/3.22 % (2810051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.22 % (2810051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.22 % (2810051)CaDiCaL version: 2.1.3
% 20.33/3.22 % (2810051)Termination reason: Instruction limit
% 20.33/3.22 % (2810051)Termination phase: Saturation
% 20.33/3.22 % (2810051)Time elapsed: 0.137 s
% 20.33/3.22 % (2810051)Peak memory usage: 12 MB
% 20.33/3.22 % (2810051)Instructions burned: 365 (million)
% 20.33/3.22 % (2810059)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=3225324293:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 20.33/3.22 % (2810055)Instruction limit reached!
% 20.33/3.22 % (2810055)------------------------------
% 20.33/3.22 % (2810055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.22 % (2810055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.22 % (2810055)CaDiCaL version: 2.1.3
% 20.33/3.22 % (2810055)Termination reason: Instruction limit
% 20.33/3.22 % (2810055)Termination phase: Saturation
% 20.33/3.22 % (2810055)Time elapsed: 0.093 s
% 20.33/3.22 % (2810055)Peak memory usage: 12 MB
% 20.33/3.22 % (2810055)Instructions burned: 252 (million)
% 20.33/3.22 % (2810057)Instruction limit reached!
% 20.33/3.22 % (2810057)------------------------------
% 20.33/3.22 % (2810057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.22 % (2810057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.22 % (2810057)CaDiCaL version: 2.1.3
% 20.33/3.22 % (2810057)Termination reason: Instruction limit
% 20.33/3.22 % (2810057)Termination phase: Saturation
% 20.33/3.22 % (2810057)Time elapsed: 0.087 s
% 20.33/3.22 % (2810057)Peak memory usage: 18 MB
% 20.33/3.22 % (2810057)Instructions burned: 214 (million)
% 20.33/3.22 % (2810061)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2656624944:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/763Mi)
% 20.33/3.22 % (2810059)Instruction limit reached!
% 20.33/3.22 % (2810059)------------------------------
% 20.33/3.22 % (2810059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.22 % (2810059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.22 % (2810059)CaDiCaL version: 2.1.3
% 20.33/3.22 % (2810059)Termination reason: Instruction limit
% 20.33/3.22 % (2810059)Termination phase: Property scanning
% 20.33/3.22 % (2810059)Time elapsed: 0.059 s
% 20.33/3.22 % (2810059)Peak memory usage: 11 MB
% 20.33/3.22 % (2810059)Instructions burned: 163 (million)
% 20.33/3.22 % (2810062)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 20.33/3.22 % (2810062)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2980410129:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2976 on theBenchmark for (2976ds/237Mi)
% 20.33/3.22 % (2810064)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1409061740:s2a=on:i=386:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/386Mi)
% 20.33/3.22 % (2810062)Instruction limit reached!
% 20.33/3.22 % (2810062)------------------------------
% 20.33/3.22 % (2810062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.22 % (2810062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.37 % (2810062)CaDiCaL version: 2.1.3
% 21.02/3.37 % (2810062)Termination reason: Instruction limit
% 21.02/3.37 % (2810062)Termination phase: Saturation
% 21.02/3.37 % (2810062)Time elapsed: 0.103 s
% 21.02/3.37 % (2810062)Peak memory usage: 18 MB
% 21.02/3.37 % (2810062)Instructions burned: 239 (million)
% 21.02/3.37 % (2810067)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1244076899:i=300:piset=and:nm=32:rtra=on_2975 on theBenchmark for (2975ds/300Mi)
% 21.02/3.37 % (2810064)Instruction limit reached!
% 21.02/3.37 % (2810064)------------------------------
% 21.02/3.37 % (2810064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.37 % (2810064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.37 % (2810064)CaDiCaL version: 2.1.3
% 21.02/3.37 % (2810064)Termination reason: Instruction limit
% 21.02/3.37 % (2810064)Termination phase: Saturation
% 21.02/3.37 % (2810064)Time elapsed: 0.149 s
% 21.02/3.37 % (2810064)Peak memory usage: 12 MB
% 21.02/3.37 % (2810064)Instructions burned: 387 (million)
% 21.02/3.37 % (2810069)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=631817101:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/567Mi)
% 21.02/3.37 % (2810025)Instruction limit reached!
% 21.02/3.37 % (2810025)------------------------------
% 21.02/3.37 % (2810025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.37 % (2810025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.37 % (2810025)CaDiCaL version: 2.1.3
% 21.02/3.37 % (2810025)Termination reason: Instruction limit
% 21.02/3.37 % (2810025)Termination phase: Saturation
% 21.02/3.37 % (2810025)Time elapsed: 0.929 s
% 21.02/3.37 % (2810025)Peak memory usage: 19 MB
% 21.02/3.37 % (2810025)Instructions burned: 2186 (million)
% 21.02/3.37 % (2810071)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3185332289:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2974 on theBenchmark for (2974ds/379Mi)
% 21.02/3.37 % (2810067)Instruction limit reached!
% 21.02/3.37 % (2810067)------------------------------
% 21.02/3.37 % (2810067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.37 % (2810067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.37 % (2810067)CaDiCaL version: 2.1.3
% 21.02/3.37 % (2810067)Termination reason: Instruction limit
% 21.02/3.37 % (2810067)Termination phase: Saturation
% 21.02/3.37 % (2810067)Time elapsed: 0.113 s
% 21.02/3.37 % (2810067)Peak memory usage: 12 MB
% 21.02/3.37 % (2810067)Instructions burned: 301 (million)
% 21.02/3.37 % (2810073)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=600785928:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2973 on theBenchmark for (2973ds/429Mi)
% 21.02/3.37 % (2810061)Instruction limit reached!
% 21.02/3.37 % (2810061)------------------------------
% 21.02/3.37 % (2810061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.37 % (2810061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.37 % (2810061)CaDiCaL version: 2.1.3
% 21.02/3.37 % (2810061)Termination reason: Instruction limit
% 21.02/3.37 % (2810061)Termination phase: Saturation
% 21.02/3.37 % (2810061)Time elapsed: 0.289 s
% 21.02/3.37 % (2810061)Peak memory usage: 13 MB
% 21.02/3.37 % (2810061)Instructions burned: 765 (million)
% 21.02/3.37 % (2810075)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=344966622:i=478:bd=all:rtra=on_2973 on theBenchmark for (2973ds/478Mi)
% 21.02/3.37 % (2810071)Instruction limit reached!
% 21.02/3.37 % (2810071)------------------------------
% 21.02/3.37 % (2810071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.37 % (2810071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.37 % (2810071)CaDiCaL version: 2.1.3
% 21.02/3.37 % (2810071)Termination reason: Instruction limit
% 21.02/3.37 % (2810071)Termination phase: Saturation
% 21.02/3.37 % (2810071)Time elapsed: 0.144 s
% 21.02/3.37 % (2810071)Peak memory usage: 13 MB
% 21.02/3.37 % (2810071)Instructions burned: 380 (million)
% 21.02/3.37 % (2810069)Instruction limit reached!
% 21.02/3.37 % (2810069)------------------------------
% 21.02/3.37 % (2810069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.02/3.37 % (2810069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.02/3.37 % (2810069)CaDiCaL version: 2.1.3
% 21.02/3.37 % (2810069)Termination reason: Instruction limit
% 21.86/3.59 % (2810069)Termination phase: Saturation
% 21.86/3.59 % (2810077)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2787895705:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2972 on theBenchmark for (2972ds/445Mi)
% 21.86/3.59 % (2810069)Time elapsed: 0.218 s
% 21.86/3.59 % (2810069)Peak memory usage: 13 MB
% 21.86/3.59 % (2810069)Instructions burned: 570 (million)
% 21.86/3.59 % (2810079)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2859205904:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/71Mi)
% 21.86/3.59 % (2810073)Instruction limit reached!
% 21.86/3.59 % (2810073)------------------------------
% 21.86/3.59 % (2810073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.59 % (2810073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.59 % (2810073)CaDiCaL version: 2.1.3
% 21.86/3.59 % (2810073)Termination reason: Instruction limit
% 21.86/3.59 % (2810073)Termination phase: Saturation
% 21.86/3.59 % (2810073)Time elapsed: 0.164 s
% 21.86/3.59 % (2810073)Peak memory usage: 13 MB
% 21.86/3.59 % (2810073)Instructions burned: 430 (million)
% 21.86/3.59 % (2810081)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2278961266:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/302Mi)
% 21.86/3.59 % (2810079)Instruction limit reached!
% 21.86/3.59 % (2810079)------------------------------
% 21.86/3.59 % (2810079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.59 % (2810079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.59 % (2810079)CaDiCaL version: 2.1.3
% 21.86/3.59 % (2810079)Termination reason: Instruction limit
% 21.86/3.59 % (2810079)Termination phase: Property scanning
% 21.86/3.59 % (2810079)Time elapsed: 0.028 s
% 21.86/3.59 % (2810079)Peak memory usage: 10 MB
% 21.86/3.59 % (2810079)Instructions burned: 73 (million)
% 21.86/3.59 % (2810083)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=603025978:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/4980Mi)
% 21.86/3.59 % (2810075)Instruction limit reached!
% 21.86/3.59 % (2810075)------------------------------
% 21.86/3.59 % (2810075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.59 % (2810075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.59 % (2810075)CaDiCaL version: 2.1.3
% 21.86/3.59 % (2810075)Termination reason: Instruction limit
% 21.86/3.59 % (2810075)Termination phase: Saturation
% 21.86/3.59 % (2810075)Time elapsed: 0.181 s
% 21.86/3.59 % (2810075)Peak memory usage: 13 MB
% 21.86/3.59 % (2810075)Instructions burned: 480 (million)
% 21.86/3.59 % (2810085)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
% 21.86/3.59 % (2810085)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.86/3.59 % (2810085)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2522846798:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2971 on theBenchmark for (2971ds/100Mi)
% 21.86/3.59 % (2810085)Instruction limit reached!
% 21.86/3.59 % (2810085)------------------------------
% 21.86/3.59 % (2810085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.59 % (2810085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.59 % (2810085)CaDiCaL version: 2.1.3
% 21.86/3.59 % (2810085)Termination reason: Instruction limit
% 21.86/3.59 % (2810085)Termination phase: Property scanning
% 21.86/3.59 % (2810085)Time elapsed: 0.038 s
% 21.86/3.59 % (2810085)Peak memory usage: 11 MB
% 21.86/3.59 % (2810085)Instructions burned: 100 (million)
% 21.86/3.59 % (2810087)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=1940520913:i=76:piset=equals:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/76Mi)
% 21.86/3.59 % (2810081)Instruction limit reached!
% 21.86/3.59 % (2810081)------------------------------
% 21.86/3.59 % (2810081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.59 % (2810081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.59 % (2810081)CaDiCaL version: 2.1.3
% 22.83/3.75 % (2810081)Termination reason: Instruction limit
% 22.83/3.75 % (2810081)Termination phase: Saturation
% 22.83/3.75 % (2810081)Time elapsed: 0.123 s
% 22.83/3.75 % (2810081)Peak memory usage: 19 MB
% 22.83/3.75 % (2810081)Instructions burned: 304 (million)
% 22.83/3.75 % (2810077)Instruction limit reached!
% 22.83/3.75 % (2810077)------------------------------
% 22.83/3.75 % (2810077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.75 % (2810077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.75 % (2810077)CaDiCaL version: 2.1.3
% 22.83/3.75 % (2810077)Termination reason: Instruction limit
% 22.83/3.75 % (2810077)Termination phase: Saturation
% 22.83/3.75 % (2810077)Time elapsed: 0.171 s
% 22.83/3.75 % (2810077)Peak memory usage: 14 MB
% 22.83/3.75 % (2810077)Instructions burned: 448 (million)
% 22.83/3.75 % (2810038)Instruction limit reached!
% 22.83/3.75 % (2810038)------------------------------
% 22.83/3.75 % (2810038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.75 % (2810038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.75 % (2810038)CaDiCaL version: 2.1.3
% 22.83/3.75 % (2810038)Termination reason: Instruction limit
% 22.83/3.75 % (2810038)Termination phase: Saturation
% 22.83/3.75 % (2810038)Time elapsed: 1.018 s
% 22.83/3.75 % (2810038)Peak memory usage: 19 MB
% 22.83/3.75 % (2810038)Instructions burned: 2471 (million)
% 22.83/3.75 % (2810087)Instruction limit reached!
% 22.83/3.75 % (2810087)------------------------------
% 22.83/3.75 % (2810087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.75 % (2810087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.75 % (2810087)CaDiCaL version: 2.1.3
% 22.83/3.75 % (2810087)Termination reason: Instruction limit
% 22.83/3.75 % (2810087)Termination phase: Property scanning
% 22.83/3.75 % (2810087)Time elapsed: 0.029 s
% 22.83/3.75 % (2810087)Peak memory usage: 10 MB
% 22.83/3.75 % (2810087)Instructions burned: 76 (million)
% 22.83/3.75 % (2810089)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1207421196:i=289:rtra=on_2970 on theBenchmark for (2970ds/289Mi)
% 22.83/3.75 % (2810090)lrs+2_64_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_first:bsr=unit_only:cbe=off:uwa=interpreted_only:nwc=0.5:slsqc=5:sac=on:slsq=on:random_seed=1615542926:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2970 on theBenchmark for (2970ds/493Mi)
% 22.83/3.75 % (2810092)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.83/3.75 % (2810091)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=333185582:cond=on:i=34:hud=10:nm=10:rtra=on_2970 on theBenchmark for (2970ds/34Mi)
% 22.83/3.75 % (2810092)dis+1010_1_to=lpo:irw=on:plsq=on:drc=ordering:plsqc=4:cnfonf=lazy_simp:si=on:sp=reverse_frequency:sos=on:plsqr=32,1:cbe=off:uwa=off:rp=on:lwlo=on:random_seed=2540578464:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2970 on theBenchmark for (2970ds/372Mi)
% 22.83/3.75 % (2810091)Instruction limit reached!
% 22.83/3.75 % (2810091)------------------------------
% 22.83/3.75 % (2810091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.75 % (2810091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.75 % (2810091)CaDiCaL version: 2.1.3
% 22.83/3.75 % (2810091)Termination reason: Instruction limit
% 22.83/3.75 % (2810091)Termination phase: Property scanning
% 22.83/3.75 % (2810091)Time elapsed: 0.014 s
% 22.83/3.75 % (2810091)Peak memory usage: 10 MB
% 22.83/3.75 % (2810091)Instructions burned: 36 (million)
% 22.83/3.75 % (2810097)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1185967466:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2970 on theBenchmark for (2970ds/670Mi)
% 22.83/3.75 % (2810089)Instruction limit reached!
% 22.83/3.75 % (2810089)------------------------------
% 22.83/3.75 % (2810089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.83/3.75 % (2810089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.83/3.75 % (2810089)CaDiCaL version: 2.1.3
% 22.83/3.75 % (2810089)Termination reason: Instruction limit
% 22.83/3.75 % (2810089)Termination phase: Saturation
% 22.83/3.75 % (2810089)Time elapsed: 0.109 s
% 22.83/3.75 % (2810089)Peak memory usage: 13 MB
% 22.83/3.75 % (2810089)Instructions burned: 289 (million)
% 22.83/3.75 % (2810099)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3996545037:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/647Mi)
% 23.83/3.87 % (2810092)Instruction limit reached!
% 23.83/3.87 % (2810092)------------------------------
% 23.83/3.87 % (2810092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.83/3.87 % (2810092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/3.87 % (2810092)CaDiCaL version: 2.1.3
% 23.83/3.87 % (2810092)Termination reason: Instruction limit
% 23.83/3.87 % (2810092)Termination phase: Saturation
% 23.83/3.87 % (2810092)Time elapsed: 0.142 s
% 23.83/3.87 % (2810092)Peak memory usage: 12 MB
% 23.83/3.87 % (2810092)Instructions burned: 373 (million)
% 23.83/3.87 % (2810101)dis+10_128_sil=128000:tgt=full:plsq=on:plsqc=3:cnfonf=off:si=on:sp=arity:spb=goal_then_units:uwa=one_side_interpreted:nwc=1.5:random_seed=1171247300:i=857:add=off:kws=frequency:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/857Mi)
% 23.83/3.87 % (2809940)Instruction limit reached!
% 23.83/3.87 % (2809940)------------------------------
% 23.83/3.87 % (2809940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.83/3.87 % (2809940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/3.87 % (2809940)CaDiCaL version: 2.1.3
% 23.83/3.87 % (2809940)Termination reason: Instruction limit
% 23.83/3.87 % (2809940)Termination phase: Saturation
% 23.83/3.87 % (2809940)Time elapsed: 2.520 s
% 23.83/3.87 % (2809940)Peak memory usage: 35 MB
% 23.83/3.87 % (2809940)Instructions burned: 5757 (million)
% 23.83/3.87 % (2810090)Instruction limit reached!
% 23.83/3.87 % (2810090)------------------------------
% 23.83/3.87 % (2810090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.83/3.87 % (2810090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/3.87 % (2810090)CaDiCaL version: 2.1.3
% 23.83/3.87 % (2810090)Termination reason: Instruction limit
% 23.83/3.87 % (2810090)Termination phase: Saturation
% 23.83/3.87 % (2810090)Time elapsed: 0.189 s
% 23.83/3.87 % (2810090)Peak memory usage: 12 MB
% 23.83/3.87 % (2810090)Instructions burned: 495 (million)
% 23.83/3.87 % (2810103)dis+1010_4_anc=all_dependent:to=lpo:sil=128000:fde=unused:cnfonf=conj_eager:si=on:sp=reverse_frequency:lma=off:spb=intro:cbe=off:uwa=off:random_seed=102398854:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2968 on theBenchmark for (2968ds/693Mi)
% 23.83/3.87 % (2810104)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=110278830:i=285:hud=10:bd=all:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/285Mi)
% 23.83/3.87 % (2810097)Instruction limit reached!
% 23.83/3.87 % (2810097)------------------------------
% 23.83/3.87 % (2810097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.83/3.87 % (2810097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/3.87 % (2810097)CaDiCaL version: 2.1.3
% 23.83/3.87 % (2810097)Termination reason: Instruction limit
% 23.83/3.87 % (2810097)Termination phase: Saturation
% 23.83/3.87 % (2810097)Time elapsed: 0.267 s
% 23.83/3.87 % (2810097)Peak memory usage: 18 MB
% 23.83/3.87 % (2810097)Instructions burned: 670 (million)
% 23.83/3.87 % (2810104)Instruction limit reached!
% 23.83/3.87 % (2810104)------------------------------
% 23.83/3.87 % (2810104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.83/3.87 % (2810104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/3.87 % (2810104)CaDiCaL version: 2.1.3
% 23.83/3.87 % (2810104)Termination reason: Instruction limit
% 23.83/3.87 % (2810104)Termination phase: Saturation
% 23.83/3.87 % (2810104)Time elapsed: 0.110 s
% 23.83/3.87 % (2810104)Peak memory usage: 12 MB
% 23.83/3.87 % (2810104)Instructions burned: 285 (million)
% 23.83/3.87 % (2810107)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.83/3.87 % (2810107)dis+1002_50_to=kbo:sil=128000:tgt=ground:plsq=on:plsqc=1:si=on:sp=occurrence:plsqr=64,1:nwc=3:flr=on:chr=on:random_seed=2854501248:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2967 on theBenchmark for (2967ds/52Mi)
% 23.83/3.87 % (2810108)dis+10_1_si=on:random_seed=2944192298:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2967 on theBenchmark for (2967ds/407Mi)
% 23.83/3.87 % (2810107)Instruction limit reached!
% 23.83/3.87 % (2810107)------------------------------
% 23.83/3.87 % (2810107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.22 % (2810107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.22 % (2810107)CaDiCaL version: 2.1.3
% 27.56/4.22 % (2810107)Termination reason: Instruction limit
% 27.56/4.22 % (2810107)Termination phase: shuffling
% 27.56/4.22 % (2810107)Time elapsed: 0.017 s
% 27.56/4.22 % (2810107)Peak memory usage: 10 MB
% 27.56/4.22 % (2810107)Instructions burned: 53 (million)
% 27.56/4.22 % (2809973)Instruction limit reached!
% 27.56/4.22 % (2809973)------------------------------
% 27.56/4.22 % (2809973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.22 % (2809973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.22 % (2809973)CaDiCaL version: 2.1.3
% 27.56/4.22 % (2809973)Termination reason: Instruction limit
% 27.56/4.22 % (2809973)Termination phase: Saturation
% 27.56/4.22 % (2809973)Time elapsed: 2.430 s
% 27.56/4.22 % (2809973)Peak memory usage: 50 MB
% 27.56/4.22 % (2809973)Instructions burned: 9841 (million)
% 27.56/4.22 % (2810112)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3216676760:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/336Mi)
% 27.56/4.22 % (2810111)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=4121023949:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/2240Mi)
% 27.56/4.22 % (2810112)Refutation not found, incomplete strategy
% 27.56/4.22 % (2810112)------------------------------
% 27.56/4.22 % (2810112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.22 % (2810112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.22 % (2810112)CaDiCaL version: 2.1.3
% 27.56/4.22 % (2810112)Termination reason: Refutation not found, incomplete strategy
% 27.56/4.22 % (2810112)Time elapsed: 0.048 s
% 27.56/4.22 % (2810112)Peak memory usage: 14 MB
% 27.56/4.22 % (2810112)Instructions burned: 237 (million)
% 27.56/4.22 % (2810112)------------------------------
% 27.56/4.22 % (2810112)------------------------------
% 27.56/4.22 % (2810115)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=237723847:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2966 on theBenchmark for (2966ds/1142Mi)
% 27.56/4.22 % (2810099)Instruction limit reached!
% 27.56/4.22 % (2810099)------------------------------
% 27.56/4.22 % (2810099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.22 % (2810099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.22 % (2810099)CaDiCaL version: 2.1.3
% 27.56/4.22 % (2810099)Termination reason: Instruction limit
% 27.56/4.22 % (2810099)Termination phase: Saturation
% 27.56/4.22 % (2810099)Time elapsed: 0.318 s
% 27.56/4.22 % (2810099)Peak memory usage: 16 MB
% 27.56/4.22 % (2810099)Instructions burned: 648 (million)
% 27.56/4.22 % (2810117)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=873311370:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2965 on theBenchmark for (2965ds/376Mi)
% 27.56/4.22 % (2810108)Instruction limit reached!
% 27.56/4.22 % (2810108)------------------------------
% 27.56/4.22 % (2810108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.22 % (2810108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.22 % (2810108)CaDiCaL version: 2.1.3
% 27.56/4.22 % (2810108)Termination reason: Instruction limit
% 27.56/4.22 % (2810108)Termination phase: Saturation
% 27.56/4.22 % (2810108)Time elapsed: 0.154 s
% 27.56/4.22 % (2810108)Peak memory usage: 13 MB
% 27.56/4.22 % (2810108)Instructions burned: 408 (million)
% 27.56/4.22 % (2810101)Refutation not found, incomplete strategy
% 27.56/4.22 % (2810101)------------------------------
% 27.56/4.22 % (2810101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.22 % (2810101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.56/4.22 % (2810101)CaDiCaL version: 2.1.3
% 27.56/4.22 % (2810101)Termination reason: Refutation not found, incomplete strategy
% 27.56/4.22 % (2810101)Time elapsed: 0.322 s
% 27.56/4.22 % (2810101)Peak memory usage: 16 MB
% 27.56/4.22 % (2810101)Instructions burned: 839 (million)
% 27.56/4.22 % (2810101)------------------------------
% 27.56/4.22 % (2810101)------------------------------
% 27.56/4.22 % (2810115)Refutation not found, incomplete strategy
% 27.56/4.22 % (2810115)------------------------------
% 27.56/4.22 % (2810115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.56/4.22 % (2810115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.37 % (2810115)CaDiCaL version: 2.1.3
% 28.25/4.37 % (2810115)Termination reason: Refutation not found, incomplete strategy
% 28.25/4.37 % (2810115)Time elapsed: 0.080 s
% 28.25/4.37 % (2810115)Peak memory usage: 18 MB
% 28.25/4.37 % (2810115)Instructions burned: 332 (million)
% 28.25/4.37 % (2810115)------------------------------
% 28.25/4.37 % (2810115)------------------------------
% 28.25/4.37 % (2810119)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1382497223:i=766:bd=all:rtra=on_2965 on theBenchmark for (2965ds/766Mi)
% 28.25/4.37 % (2810120)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 28.25/4.37 % (2810120)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2861678346:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2965 on theBenchmark for (2965ds/959Mi)
% 28.25/4.37 % (2810121)dis+1010_1024_sil=128000:plsq=on:plsqc=1:e2e=on:si=on:lma=off:plsqr=64,1:uwa=interpreted_only:fd=off:random_seed=2736288733:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2965 on theBenchmark for (2965ds/6359Mi)
% 28.25/4.37 % (2810103)Instruction limit reached!
% 28.25/4.37 % (2810103)------------------------------
% 28.25/4.37 % (2810103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.37 % (2810103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.37 % (2810103)CaDiCaL version: 2.1.3
% 28.25/4.37 % (2810103)Termination reason: Instruction limit
% 28.25/4.37 % (2810103)Termination phase: Saturation
% 28.25/4.37 % (2810103)Time elapsed: 0.323 s
% 28.25/4.37 % (2810103)Peak memory usage: 17 MB
% 28.25/4.37 % (2810103)Instructions burned: 694 (million)
% 28.25/4.37 % (2810125)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3859483716:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2965 on theBenchmark for (2965ds/35Mi)
% 28.25/4.37 % (2810125)Instruction limit reached!
% 28.25/4.37 % (2810125)------------------------------
% 28.25/4.37 % (2810125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.37 % (2810125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.37 % (2810125)CaDiCaL version: 2.1.3
% 28.25/4.37 % (2810125)Termination reason: Instruction limit
% 28.25/4.37 % (2810125)Termination phase: shuffling
% 28.25/4.37 % (2810125)Time elapsed: 0.012 s
% 28.25/4.37 % (2810125)Peak memory usage: 10 MB
% 28.25/4.37 % (2810125)Instructions burned: 37 (million)
% 28.25/4.37 % (2810127)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1102740012:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2964 on theBenchmark for (2964ds/53Mi)
% 28.25/4.37 % (2810127)Instruction limit reached!
% 28.25/4.37 % (2810127)------------------------------
% 28.25/4.37 % (2810127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.37 % (2810127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.37 % (2810127)CaDiCaL version: 2.1.3
% 28.25/4.37 % (2810127)Termination reason: Instruction limit
% 28.25/4.37 % (2810127)Termination phase: Function definition elimination
% 28.25/4.37 % (2810127)Time elapsed: 0.021 s
% 28.25/4.37 % (2810127)Peak memory usage: 10 MB
% 28.25/4.37 % (2810127)Instructions burned: 56 (million)
% 28.25/4.37 % (2810117)Instruction limit reached!
% 28.25/4.37 % (2810117)------------------------------
% 28.25/4.37 % (2810117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.25/4.37 % (2810117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.25/4.37 % (2810117)CaDiCaL version: 2.1.3
% 28.25/4.37 % (2810117)Termination reason: Instruction limit
% 28.25/4.37 % (2810117)Termination phase: Saturation
% 28.25/4.37 % (2810117)Time elapsed: 0.147 s
% 28.25/4.37 % (2810117)Peak memory usage: 13 MB
% 28.25/4.37 % (2810117)Instructions burned: 378 (million)
% 28.25/4.37 % (2810129)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2554032057:s2a=on:i=876:s2at=6:nm=2:rtra=on_2964 on theBenchmark for (2964ds/876Mi)
% 28.25/4.37 % (2810130)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=257608431:i=57:ep=R:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/57Mi)
% 29.78/4.51 % (2810130)Instruction limit reached!
% 29.78/4.51 % (2810130)------------------------------
% 29.78/4.51 % (2810130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.51 % (2810130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.51 % (2810130)CaDiCaL version: 2.1.3
% 29.78/4.51 % (2810130)Termination reason: Instruction limit
% 29.78/4.51 % (2810130)Termination phase: Function definition elimination
% 29.78/4.51 % (2810130)Time elapsed: 0.022 s
% 29.78/4.51 % (2810130)Peak memory usage: 10 MB
% 29.78/4.51 % (2810130)Instructions burned: 58 (million)
% 29.78/4.51 % (2810133)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.78/4.51 % (2810133)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4226322117:i=306:bd=all:rtra=on_2963 on theBenchmark for (2963ds/306Mi)
% 29.78/4.51 % (2810133)Instruction limit reached!
% 29.78/4.51 % (2810133)------------------------------
% 29.78/4.51 % (2810133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.51 % (2810133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.51 % (2810133)CaDiCaL version: 2.1.3
% 29.78/4.51 % (2810133)Termination reason: Instruction limit
% 29.78/4.51 % (2810133)Termination phase: Saturation
% 29.78/4.51 % (2810133)Time elapsed: 0.115 s
% 29.78/4.51 % (2810133)Peak memory usage: 12 MB
% 29.78/4.51 % (2810133)Instructions burned: 308 (million)
% 29.78/4.51 % (2810119)Instruction limit reached!
% 29.78/4.51 % (2810119)------------------------------
% 29.78/4.51 % (2810119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.51 % (2810119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.51 % (2810119)CaDiCaL version: 2.1.3
% 29.78/4.51 % (2810119)Termination reason: Instruction limit
% 29.78/4.51 % (2810119)Termination phase: Saturation
% 29.78/4.51 % (2810119)Time elapsed: 0.293 s
% 29.78/4.51 % (2810135)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=75005482:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/262Mi)
% 29.78/4.51 % (2810119)Peak memory usage: 14 MB
% 29.78/4.51 % (2810119)Instructions burned: 768 (million)
% 29.78/4.51 % (2810137)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 29.78/4.51 % (2810137)ott+1002_16_sil=128000:si=on:random_seed=1820008136:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2962 on theBenchmark for (2962ds/409Mi)
% 29.78/4.51 % (2810120)Instruction limit reached!
% 29.78/4.51 % (2810120)------------------------------
% 29.78/4.51 % (2810120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.51 % (2810120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.51 % (2810120)CaDiCaL version: 2.1.3
% 29.78/4.51 % (2810120)Termination reason: Instruction limit
% 29.78/4.51 % (2810120)Termination phase: Saturation
% 29.78/4.51 % (2810120)Time elapsed: 0.371 s
% 29.78/4.51 % (2810120)Peak memory usage: 16 MB
% 29.78/4.51 % (2810120)Instructions burned: 960 (million)
% 29.78/4.51 % (2810135)Instruction limit reached!
% 29.78/4.51 % (2810135)------------------------------
% 29.78/4.51 % (2810135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.51 % (2810135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.51 % (2810135)CaDiCaL version: 2.1.3
% 29.78/4.51 % (2810135)Termination reason: Instruction limit
% 29.78/4.51 % (2810135)Termination phase: Saturation
% 29.78/4.51 % (2810135)Time elapsed: 0.098 s
% 29.78/4.51 % (2810135)Peak memory usage: 13 MB
% 29.78/4.51 % (2810135)Instructions burned: 263 (million)
% 29.78/4.51 % (2810139)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1557105916:s2a=on:i=381:rtra=on_2961 on theBenchmark for (2961ds/381Mi)
% 29.78/4.51 % (2810140)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=481404288:cond=on:i=324:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/324Mi)
% 29.78/4.51 % (2810137)Instruction limit reached!
% 29.78/4.51 % (2810137)------------------------------
% 29.78/4.51 % (2810137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.51 % (2810137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.51 % (2810137)CaDiCaL version: 2.1.3
% 29.78/4.51 % (2810137)Termination reason: Instruction limit
% 29.78/4.51 % (2810137)Termination phase: Saturation
% 29.78/4.55 % (2810137)Time elapsed: 0.156 s
% 29.78/4.55 % (2810137)Peak memory usage: 13 MB
% 29.78/4.55 % (2810137)Instructions burned: 409 (million)
% 29.78/4.55 % (2810143)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3388398146:i=240:kws=inv_precedence:rtra=on_2960 on theBenchmark for (2960ds/240Mi)
% 29.78/4.55 % (2810129)Instruction limit reached!
% 29.78/4.55 % (2810129)------------------------------
% 29.78/4.55 % (2810129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810129)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810129)Termination reason: Instruction limit
% 29.78/4.55 % (2810129)Termination phase: Saturation
% 29.78/4.55 % (2810129)Time elapsed: 0.388 s
% 29.78/4.55 % (2810129)Peak memory usage: 17 MB
% 29.78/4.55 % (2810129)Instructions burned: 878 (million)
% 29.78/4.55 % (2810145)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.78/4.55 % (2810145)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4109082335:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/124Mi)
% 29.78/4.55 % (2810139)Instruction limit reached!
% 29.78/4.55 % (2810139)------------------------------
% 29.78/4.55 % (2810139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810139)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810139)Termination reason: Instruction limit
% 29.78/4.55 % (2810139)Termination phase: Saturation
% 29.78/4.55 % (2810139)Time elapsed: 0.144 s
% 29.78/4.55 % (2810139)Peak memory usage: 13 MB
% 29.78/4.55 % (2810139)Instructions burned: 382 (million)
% 29.78/4.55 % (2810143)Refutation not found, incomplete strategy
% 29.78/4.55 % (2810143)------------------------------
% 29.78/4.55 % (2810143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810143)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810143)Termination reason: Refutation not found, incomplete strategy
% 29.78/4.55 % (2810143)Time elapsed: 0.064 s
% 29.78/4.55 % (2810143)Peak memory usage: 15 MB
% 29.78/4.55 % (2810143)Instructions burned: 159 (million)
% 29.78/4.55 % (2810145)Instruction limit reached!
% 29.78/4.55 % (2810145)------------------------------
% 29.78/4.55 % (2810145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810145)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810145)Termination reason: Instruction limit
% 29.78/4.55 % (2810145)Termination phase: Property scanning
% 29.78/4.55 % (2810145)Time elapsed: 0.044 s
% 29.78/4.55 % (2810145)Peak memory usage: 11 MB
% 29.78/4.55 % (2810145)Instructions burned: 125 (million)
% 29.78/4.55 % (2810143)------------------------------
% 29.78/4.55 % (2810143)------------------------------
% 29.78/4.55 % (2810140)Instruction limit reached!
% 29.78/4.55 % (2810140)------------------------------
% 29.78/4.55 % (2810140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810140)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810140)Termination reason: Instruction limit
% 29.78/4.55 % (2810140)Termination phase: Saturation
% 29.78/4.55 % (2810140)Time elapsed: 0.147 s
% 29.78/4.55 % (2810140)Peak memory usage: 14 MB
% 29.78/4.55 % (2810140)Instructions burned: 326 (million)
% 29.78/4.55 % (2810147)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1831751467:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2959 on theBenchmark for (2959ds/223Mi)
% 29.78/4.55 % (2810148)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1983587095:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2959 on theBenchmark for (2959ds/282Mi)
% 29.78/4.55 % (2810149)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1566168643:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/464Mi)
% 29.78/4.55 % (2810150)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=4135428653:i=88:s2at=3:nm=2:rtra=on:rawr=on_2959 on theBenchmark for (2959ds/88Mi)
% 29.78/4.55 % (2810150)Instruction limit reached!
% 29.78/4.55 % (2810150)------------------------------
% 29.78/4.55 % (2810150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810150)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810150)Termination reason: Instruction limit
% 29.78/4.55 % (2810150)Termination phase: Property scanning
% 29.78/4.55 % (2810150)Time elapsed: 0.034 s
% 29.78/4.55 % (2810150)Peak memory usage: 11 MB
% 29.78/4.55 % (2810150)Instructions burned: 89 (million)
% 29.78/4.55 % (2810155)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3179542587:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2959 on theBenchmark for (2959ds/280Mi)
% 29.78/4.55 % (2810147)Instruction limit reached!
% 29.78/4.55 % (2810147)------------------------------
% 29.78/4.55 % (2810147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810147)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810147)Termination reason: Instruction limit
% 29.78/4.55 % (2810147)Termination phase: Saturation
% 29.78/4.55 % (2810147)Time elapsed: 0.083 s
% 29.78/4.55 % (2810147)Peak memory usage: 12 MB
% 29.78/4.55 % (2810147)Instructions burned: 226 (million)
% 29.78/4.55 % (2810157)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 29.78/4.55 % (2810157)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1920914915:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/4386Mi)
% 29.78/4.55 % (2810148)Instruction limit reached!
% 29.78/4.55 % (2810148)------------------------------
% 29.78/4.55 % (2810148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810148)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810148)Termination reason: Instruction limit
% 29.78/4.55 % (2810148)Termination phase: Saturation
% 29.78/4.55 % (2810148)Time elapsed: 0.116 s
% 29.78/4.55 % (2810148)Peak memory usage: 17 MB
% 29.78/4.55 % (2810148)Instructions burned: 282 (million)
% 29.78/4.55 % (2810159)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 29.78/4.55 % (2810159)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 29.78/4.55 % (2810159)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=2420731064:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2958 on theBenchmark for (2958ds/483Mi)
% 29.78/4.55 % (2810149)Refutation not found, incomplete strategy
% 29.78/4.55 % (2810149)------------------------------
% 29.78/4.55 % (2810149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810149)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810149)Termination reason: Refutation not found, incomplete strategy
% 29.78/4.55 % (2810149)Time elapsed: 0.142 s
% 29.78/4.55 % (2810149)Peak memory usage: 21 MB
% 29.78/4.55 % (2810149)Instructions burned: 317 (million)
% 29.78/4.55 % (2810149)------------------------------
% 29.78/4.55 % (2810149)------------------------------
% 29.78/4.55 % (2810161)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3337440154:i=73:rtra=on_2957 on theBenchmark for (2957ds/73Mi)
% 29.78/4.55 % (2810155)Instruction limit reached!
% 29.78/4.55 % (2810155)------------------------------
% 29.78/4.55 % (2810155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810155)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810155)Termination reason: Instruction limit
% 29.78/4.55 % (2810155)Termination phase: Saturation
% 29.78/4.55 % (2810155)Time elapsed: 0.108 s
% 29.78/4.55 % (2810155)Peak memory usage: 12 MB
% 29.78/4.55 % (2810155)Instructions burned: 281 (million)
% 29.78/4.55 % (2810163)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3365599970:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2957 on theBenchmark for (2957ds/176Mi)
% 29.78/4.55 % (2810161)Instruction limit reached!
% 29.78/4.55 % (2810161)------------------------------
% 29.78/4.55 % (2810161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810161)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810161)Termination reason: Instruction limit
% 29.78/4.55 % (2810161)Termination phase: Property scanning
% 29.78/4.55 % (2810161)Time elapsed: 0.025 s
% 29.78/4.55 % (2810161)Peak memory usage: 10 MB
% 29.78/4.55 % (2810161)Instructions burned: 74 (million)
% 29.78/4.55 % (2810111) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2809802-2810111"...
% 29.78/4.55 % (2810165)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 29.78/4.55 % (2810165)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1559564819:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2957 on theBenchmark for (2957ds/39Mi)
% 29.78/4.55 % (2810111)...printing done.
% 29.78/4.55 % (2810111)Refutation found. Thanks to Tanya!
% 29.78/4.55 % SZS status Theorem for theBenchmark
% 29.78/4.55 % SZS output start Proof for theBenchmark
% See solution above
% 29.78/4.55 % (2810111)------------------------------
% 29.78/4.55 % (2810111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.78/4.55 % (2810111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.78/4.55 % (2810111)CaDiCaL version: 2.1.3
% 29.78/4.55 % (2810111)Termination reason: Refutation
% 29.78/4.55 % (2810111)Time elapsed: 0.932 s
% 29.78/4.55 % (2810111)Peak memory usage: 25 MB
% 29.78/4.55 % (2810111)Instructions burned: 1994 (million)
% 29.78/4.55 % (2809802)Success in time 4.28 s
% 29.78/4.55 % Vampire exiting
%------------------------------------------------------------------------------