%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV446^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:40:01 AM UTC 2026
% Result : Theorem 8.52s 1.86s
% Output : Refutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 22
% Syntax : Number of formulae : 235 ( 125 unt; 0 typ; 5 def)
% Number of atoms : 2232 ( 406 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 3862 ( 154 ~; 342 |; 0 &;2645 @)
% ( 5 <=>; 354 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 327 ( 327 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 77 usr; 15 con; 0-4 aty)
% ( 362 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 905 ( 0 sgn 247 !; 0 ?; 905 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
individuals: $tType ).
thf(func_def_1,type,
prop_a: $i > $o ).
thf(func_def_2,type,
prop_b: $i > $o ).
thf(func_def_3,type,
prop_c: $i > $o ).
thf(func_def_4,type,
mfalse: $i > $o ).
thf(func_def_5,type,
mtrue: $i > $o ).
thf(func_def_6,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_15,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_16,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_17,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_18,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_20,type,
reli: $i > $i > $o ).
thf(func_def_21,type,
relr: $i > $i > $o ).
thf(func_def_22,type,
cs4_atom: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
cs4_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
cs4_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
cs4_true: $i > $o ).
thf(func_def_27,type,
cs4_false: $i > $o ).
thf(func_def_28,type,
cs4_all: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_29,type,
cs4_box: ( $i > $o ) > $i > $o ).
thf(func_def_30,type,
cs4_valid: ( $i > $o ) > $o ).
thf(func_def_31,type,
princ_inj: individuals > $i > $o ).
thf(func_def_32,type,
bl_atom: ( $i > $o ) > $i > $o ).
thf(func_def_33,type,
bl_princ: ( $i > $o ) > $i > $o ).
thf(func_def_34,type,
bl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_35,type,
bl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_36,type,
bl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_37,type,
bl_all: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_38,type,
bl_true: $i > $o ).
thf(func_def_39,type,
bl_false: $i > $o ).
thf(func_def_40,type,
bl_says: individuals > ( $i > $o ) > $i > $o ).
thf(func_def_41,type,
bl_valid: ( $i > $o ) > $o ).
thf(func_def_42,type,
loca: individuals ).
thf(func_def_43,type,
vNOT: $o > $o ).
thf(func_def_44,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_45,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_50,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
vIMP: $o > $o > $o ).
thf(func_def_52,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_53,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_54,type,
vAND: $o > $o > $o ).
thf(func_def_55,type,
vOR: $o > $o > $o ).
thf(func_def_56,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_58,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_61,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
db10:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
db11:
!>[X0: $tType] : X0 ).
thf(func_def_64,type,
sK0: individuals ).
thf(func_def_65,type,
sK1: $i > $o ).
thf(func_def_70,type,
sK6: ( $i > $o ) > $i > $i ).
thf(func_def_72,type,
sK8: ( $i > $o ) > $i > $i ).
thf(func_def_74,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_75,type,
sK10: ( $i > $o ) > $i > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimpl ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( ( ^ [X0: $i > $o] : ( mbox @ reli @ X0 ) )
= cs4_atom ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_atom) ).
thf(f19,axiom,
( cs4_impl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ reli @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_impl) ).
thf(f23,axiom,
( ( ^ [X0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ X0 ) ) )
= cs4_box ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_box) ).
thf(f25,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',refl_axiom_i) ).
thf(f26,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',refl_axiom_r) ).
thf(f27,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ ( mbox @ reli @ ( mbox @ reli @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',trans_axiom_i) ).
thf(f30,axiom,
( bl_atom
= ( ^ [X0: $i > $o] : ( cs4_atom @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV010^0.ax',bl_atom) ).
thf(f31,axiom,
( ( ^ [X0: $i > $o] : ( cs4_atom @ X0 ) )
= bl_princ ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV010^0.ax',bl_princ) ).
thf(f34,axiom,
( bl_impl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( cs4_impl @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV010^0.ax',bl_impl) ).
thf(f38,axiom,
( bl_says
= ( ^ [X0: individuals,X1: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ X0 ) ) @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV010^0.ax',bl_says) ).
thf(f39,axiom,
bl_valid = mvalid,
file('/export/starexec/sandbox/benchmark/Axioms/SWV010^0.ax',bl_valid_def) ).
thf(f41,conjecture,
! [X1: $i > $o,X0: individuals] : ( bl_valid @ ( bl_says @ X0 @ ( bl_impl @ ( bl_says @ X0 @ ( bl_atom @ X1 ) ) @ ( bl_atom @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bl_conceit) ).
thf(f42,negated_conjecture,
~ ! [X1: $i > $o,X0: individuals] : ( bl_valid @ ( bl_says @ X0 @ ( bl_impl @ ( bl_says @ X0 @ ( bl_atom @ X1 ) ) @ ( bl_atom @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
thf(f43,plain,
~ ! [X0: $i > $o,X1: individuals] : ( bl_valid @ ( bl_says @ X1 @ ( bl_impl @ ( bl_says @ X1 @ ( bl_atom @ X0 ) ) @ ( bl_atom @ X0 ) ) ) ),
inference(rectify,[],[f42]) ).
thf(f44,plain,
( ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] : ( bl_valid @ ( bl_says @ Y0 @ ( bl_impl @ ( bl_says @ Y0 @ ( bl_atom @ Y1 ) ) @ ( bl_atom @ Y1 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f43]) ).
thf(f45,plain,
( bl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( cs4_impl @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f46,plain,
( bl_says
= ( ^ [Y0: individuals,Y1: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ Y0 ) ) @ Y1 ) ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f47,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) ),
inference(rectify,[],[f26]) ).
thf(f48,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ Y0 ) @ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f47]) ).
thf(f50,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f59,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ ( mbox @ reli @ ( mbox @ reli @ X0 ) ) ) ),
inference(rectify,[],[f27]) ).
thf(f60,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ Y0 ) @ ( mbox @ reli @ ( mbox @ reli @ Y0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f59]) ).
thf(f61,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f8]) ).
thf(f62,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f61]) ).
thf(f65,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f12]) ).
thf(f66,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f65]) ).
thf(f69,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f76,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f77,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f76]) ).
thf(f80,plain,
( bl_princ
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f83,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f89,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f91,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) ),
inference(rectify,[],[f25]) ).
thf(f92,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ Y0 ) @ Y0 ) ) )
= $true ),
inference(fool_elimination,[],[f91]) ).
thf(f96,plain,
mvalid = bl_valid,
inference(fool_elimination,[],[f39]) ).
thf(f97,plain,
( bl_atom
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(fool_elimination,[],[f30]) ).
thf(f100,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f101,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f100]) ).
thf(f102,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f89]) ).
thf(f111,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ Y0 ) @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f48]) ).
thf(f115,plain,
( bl_princ
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(cnf_transformation,[],[f80]) ).
thf(f116,plain,
( bl_says
= ( ^ [Y0: individuals,Y1: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ Y0 ) ) @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f117,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f101]) ).
thf(f119,plain,
( ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] : ( bl_valid @ ( bl_says @ Y0 @ ( bl_impl @ ( bl_says @ Y0 @ ( bl_atom @ Y1 ) ) @ ( bl_atom @ Y1 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f44]) ).
thf(f121,plain,
mvalid = bl_valid,
inference(cnf_transformation,[],[f96]) ).
thf(f122,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f127,plain,
( bl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( cs4_impl @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f132,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f77]) ).
thf(f134,plain,
( bl_atom
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(cnf_transformation,[],[f97]) ).
thf(f135,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f136,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(cnf_transformation,[],[f83]) ).
thf(f138,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ Y0 ) @ ( mbox @ reli @ ( mbox @ reli @ Y0 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f60]) ).
thf(f139,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f140,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ Y0 ) @ Y0 ) ) )
= $true ),
inference(cnf_transformation,[],[f92]) ).
thf(f141,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f145,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f102,f132,f117]) ).
thf(f147,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 ) ) ),
inference(definition_unfolding,[],[f136,f141]) ).
thf(f150,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ reli
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f135,f141,f145]) ).
thf(f153,plain,
( cs4_box
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ relr
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f139,f141,f141]) ).
thf(f155,plain,
( bl_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ reli
@ Y1 )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f134,f147]) ).
thf(f156,plain,
( bl_princ
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ reli
@ Y1 )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f115,f147]) ).
thf(f159,plain,
( bl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( Y4 @ Y6 @ Y7 )
=> ( Y5 @ Y7 ) ) )
@ reli
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y7 @ Y8 )
| ( Y6 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ Y5 )
@ Y2
@ Y3 ) )
@ Y0
@ Y1 ) ) ),
inference(definition_unfolding,[],[f127,f150]) ).
thf(f161,plain,
( bl_says
= ( ^ [Y0: individuals,Y1: $i > $o] :
( ^ [Y2: $i > $o] :
( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( Y3 @ Y5 @ Y6 )
=> ( Y4 @ Y6 ) ) )
@ reli
@ ( ^ [Y3: $i > $i > $o,Y4: $i > $o,Y5: $i] :
( !! @ $i
@ ^ [Y6: $i] :
( ( Y3 @ Y5 @ Y6 )
=> ( Y4 @ Y6 ) ) )
@ relr
@ Y2 ) )
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( Y4 @ Y6 @ Y7 )
=> ( Y5 @ Y7 ) ) )
@ reli
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y7 @ Y8 )
| ( Y6 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ Y5 )
@ Y2
@ Y3 ) )
@ ( ^ [Y2: $i > $o] :
( ^ [Y3: $i > $o] :
( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( Y4 @ Y6 @ Y7 )
=> ( Y5 @ Y7 ) ) )
@ reli
@ Y3 )
@ Y2 )
@ ( princ_inj @ Y0 ) )
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f116,f153,f150,f156]) ).
thf(f162,plain,
( bl_valid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f121,f122]) ).
thf(f164,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ relr
@ Y0 )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f111,f122,f145,f141]) ).
thf(f165,plain,
( ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ^ [Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] : ( Y2 @ Y3 ) )
@ ( ^ [Y2: individuals,Y3: $i > $o] :
( ^ [Y4: $i > $o] :
( ^ [Y5: $i > $i > $o,Y6: $i > $o,Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y5 @ Y7 @ Y8 )
=> ( Y6 @ Y8 ) ) )
@ reli
@ ( ^ [Y5: $i > $i > $o,Y6: $i > $o,Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y5 @ Y7 @ Y8 )
=> ( Y6 @ Y8 ) ) )
@ relr
@ Y4 ) )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $i > $o,Y7: $i > $o,Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( ( Y6 @ Y8 @ Y9 )
=> ( Y7 @ Y9 ) ) )
@ reli
@ ( ^ [Y6: $i > $o,Y7: $i > $o] :
( ^ [Y8: $i > $o,Y9: $i > $o,Y10: $i] :
( ( Y9 @ Y10 )
| ( Y8 @ Y10 ) )
@ ( ^ [Y8: $i > $o,Y9: $i] :
~ ( Y8 @ Y9 )
@ Y6 )
@ Y7 )
@ Y4
@ Y5 ) )
@ ( ^ [Y4: $i > $o] :
( ^ [Y5: $i > $o] :
( ^ [Y6: $i > $i > $o,Y7: $i > $o,Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( ( Y6 @ Y8 @ Y9 )
=> ( Y7 @ Y9 ) ) )
@ reli
@ Y5 )
@ Y4 )
@ ( princ_inj @ Y2 ) )
@ Y3 ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $i > $o,Y7: $i > $o,Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( ( Y6 @ Y8 @ Y9 )
=> ( Y7 @ Y9 ) ) )
@ reli
@ ( ^ [Y6: $i > $o,Y7: $i > $o] :
( ^ [Y8: $i > $o,Y9: $i > $o,Y10: $i] :
( ( Y9 @ Y10 )
| ( Y8 @ Y10 ) )
@ ( ^ [Y8: $i > $o,Y9: $i] :
~ ( Y8 @ Y9 )
@ Y6 )
@ Y7 )
@ Y4
@ Y5 ) )
@ Y2
@ Y3 )
@ ( ^ [Y2: individuals,Y3: $i > $o] :
( ^ [Y4: $i > $o] :
( ^ [Y5: $i > $i > $o,Y6: $i > $o,Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y5 @ Y7 @ Y8 )
=> ( Y6 @ Y8 ) ) )
@ reli
@ ( ^ [Y5: $i > $i > $o,Y6: $i > $o,Y7: $i] :
( !! @ $i
@ ^ [Y8: $i] :
( ( Y5 @ Y7 @ Y8 )
=> ( Y6 @ Y8 ) ) )
@ relr
@ Y4 ) )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $i > $o,Y7: $i > $o,Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( ( Y6 @ Y8 @ Y9 )
=> ( Y7 @ Y9 ) ) )
@ reli
@ ( ^ [Y6: $i > $o,Y7: $i > $o] :
( ^ [Y8: $i > $o,Y9: $i > $o,Y10: $i] :
( ( Y9 @ Y10 )
| ( Y8 @ Y10 ) )
@ ( ^ [Y8: $i > $o,Y9: $i] :
~ ( Y8 @ Y9 )
@ Y6 )
@ Y7 )
@ Y4
@ Y5 ) )
@ ( ^ [Y4: $i > $o] :
( ^ [Y5: $i > $o] :
( ^ [Y6: $i > $i > $o,Y7: $i > $o,Y8: $i] :
( !! @ $i
@ ^ [Y9: $i] :
( ( Y6 @ Y8 @ Y9 )
=> ( Y7 @ Y9 ) ) )
@ reli
@ Y5 )
@ Y4 )
@ ( princ_inj @ Y2 ) )
@ Y3 ) )
@ Y0
@ ( ^ [Y2: $i > $o] :
( ^ [Y3: $i > $o] :
( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( Y4 @ Y6 @ Y7 )
=> ( Y5 @ Y7 ) ) )
@ reli
@ Y3 )
@ Y2 )
@ Y1 ) )
@ ( ^ [Y2: $i > $o] :
( ^ [Y3: $i > $o] :
( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ( Y4 @ Y6 @ Y7 )
=> ( Y5 @ Y7 ) ) )
@ reli
@ Y3 )
@ Y2 )
@ Y1 ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f119,f162,f161,f159,f161,f155,f155]) ).
thf(f170,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f138,f122,f145,f141,f141,f141]) ).
thf(f171,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ ( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 )
@ Y0 ) ) )
= $true ),
inference(definition_unfolding,[],[f140,f122,f145,f141]) ).
thf(f172,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f170]) ).
thf(f173,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f171]) ).
thf(f174,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f164]) ).
thf(f178,plain,
( ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( !! @ $i
@ ^ [Y8: $i] :
( ( relr @ Y7 @ Y8 )
=> ( !! @ $i
@ ^ [Y9: $i] :
( ( reli @ Y8 @ Y9 )
=> ( ( !! @ $i
@ ^ [Y10: $i] :
( ( reli @ Y9 @ Y10 )
=> ( Y1 @ Y10 ) ) )
| ~ ( !! @ $i
@ ^ [Y10: $i] :
( ( reli @ Y9 @ Y10 )
=> ( princ_inj @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ Y0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f165]) ).
thf(f179,plain,
( $false
= ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( !! @ $i
@ ^ [Y8: $i] :
( ( relr @ Y7 @ Y8 )
=> ( !! @ $i
@ ^ [Y9: $i] :
( ( reli @ Y8 @ Y9 )
=> ( ( !! @ $i
@ ^ [Y10: $i] :
( ( reli @ Y9 @ Y10 )
=> ( Y1 @ Y10 ) ) )
| ~ ( !! @ $i
@ ^ [Y10: $i] :
( ( reli @ Y9 @ Y10 )
=> ( princ_inj @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ Y0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f178]) ).
thf(f180,plain,
( $false
= ( ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( !! @ $i
@ ^ [Y8: $i] :
( ( relr @ Y7 @ Y8 )
=> ( !! @ $i
@ ^ [Y9: $i] :
( ( reli @ Y8 @ Y9 )
=> ( ( !! @ $i
@ ^ [Y10: $i] :
( ( reli @ Y9 @ Y10 )
=> ( Y1 @ Y10 ) ) )
| ~ ( !! @ $i
@ ^ [Y10: $i] :
( ( reli @ Y9 @ Y10 )
=> ( princ_inj @ Y0 @ Y10 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ Y0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f179]) ).
thf(f181,plain,
( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( !! @ $i
@ ^ [Y7: $i] :
( ( relr @ Y6 @ Y7 )
=> ( !! @ $i
@ ^ [Y8: $i] :
( ( reli @ Y7 @ Y8 )
=> ( ( !! @ $i
@ ^ [Y9: $i] :
( ( reli @ Y8 @ Y9 )
=> ( Y0 @ Y9 ) ) )
| ~ ( !! @ $i
@ ^ [Y9: $i] :
( ( reli @ Y8 @ Y9 )
=> ( princ_inj @ sK0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( princ_inj @ sK0 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f180]) ).
thf(f182,plain,
( $false
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( !! @ $i
@ ^ [Y7: $i] :
( ( relr @ Y6 @ Y7 )
=> ( !! @ $i
@ ^ [Y8: $i] :
( ( reli @ Y7 @ Y8 )
=> ( ( !! @ $i
@ ^ [Y9: $i] :
( ( reli @ Y8 @ Y9 )
=> ( Y0 @ Y9 ) ) )
| ~ ( !! @ $i
@ ^ [Y9: $i] :
( ( reli @ Y8 @ Y9 )
=> ( princ_inj @ sK0 @ Y9 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( princ_inj @ sK0 @ Y5 ) ) ) ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f181]) ).
thf(f183,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( sK1 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( relr @ Y5 @ Y6 )
=> ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( ( !! @ $i
@ ^ [Y8: $i] :
( ( reli @ Y7 @ Y8 )
=> ( sK1 @ Y8 ) ) )
| ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( reli @ Y7 @ Y8 )
=> ( princ_inj @ sK0 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ sK0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f182]) ).
thf(f195,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( sK1 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( relr @ Y5 @ Y6 )
=> ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( ( !! @ $i
@ ^ [Y8: $i] :
( ( reli @ Y7 @ Y8 )
=> ( sK1 @ Y8 ) ) )
| ~ ( !! @ $i
@ ^ [Y8: $i] :
( ( reli @ Y7 @ Y8 )
=> ( princ_inj @ sK0 @ Y8 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ sK0 @ Y4 ) ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f183]) ).
thf(f197,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK1 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( sK1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ sK0 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ sK0 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f195]) ).
thf(f201,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK1 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( sK1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ sK0 @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ sK0 @ Y3 ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f197]) ).
thf(f204,plain,
( $false
= ( ( reli @ sK2 @ sK3 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ sK3 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( sK1 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ sK0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ sK0 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f201]) ).
thf(f205,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ sK3 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( sK1 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ sK0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ sK0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f204]) ).
thf(f211,plain,
( $false
= ( ^ [Y0: $i] :
( ( relr @ sK3 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( sK1 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ sK0 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ sK0 @ Y2 ) ) ) ) ) ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f205]) ).
thf(f214,plain,
( $false
= ( ( relr @ sK3 @ sK4 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( sK1 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( princ_inj @ sK0 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f215,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( sK1 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( princ_inj @ sK0 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f214]) ).
thf(f217,plain,
! [X1: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f173]) ).
thf(f218,plain,
! [X1: $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f217]) ).
thf(f219,plain,
! [X2: $i,X1: $i > $o] :
( ( ^ [Y0: $i] :
( ( X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f218]) ).
thf(f220,plain,
! [X2: $i,X1: $i > $o] :
( ( ( X1 @ X2 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f219]) ).
thf(f221,plain,
! [X2: $i,X1: $i > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f220]) ).
thf(f222,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(not_proxy_clausification,[],[f221]) ).
thf(f223,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( sK1 @ Y5 ) ) )
| ~ ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( princ_inj @ sK0 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) )
@ sK5 ) ),
inference(sigma_proxy_clausification,[],[f215]) ).
thf(f226,plain,
( $false
= ( ( reli @ sK4 @ sK5 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK1 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ sK0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f223]) ).
thf(f227,plain,
( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK1 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ sK0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f226]) ).
thf(f229,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f227]) ).
thf(f230,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK1 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ sK0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f227]) ).
thf(f231,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f229]) ).
thf(f232,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f231]) ).
thf(f233,plain,
! [X1: $i] :
( ( ( reli @ sK5 @ X1 )
=> ( princ_inj @ sK0 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f232]) ).
thf(f234,plain,
! [X1: $i] :
( ( $false
= ( reli @ sK5 @ X1 ) )
| ( ( princ_inj @ sK0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f233]) ).
thf(f235,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) )
@ ( sK6 @ X1 @ X2 ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f222]) ).
thf(f237,plain,
! [X2: $i,X1: $i > $o] :
( ( ( X1 @ X2 )
= $true )
| ( $false
= ( ( reli @ X2 @ ( sK6 @ X1 @ X2 ) )
=> ( X1 @ ( sK6 @ X1 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f235]) ).
thf(f239,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( X1 @ ( sK6 @ X1 @ X2 ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f237]) ).
thf(f240,plain,
! [X2: $i,X1: $i > $o] :
( ( ( reli @ X2 @ ( sK6 @ X1 @ X2 ) )
= $true )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f237]) ).
thf(f243,plain,
! [X1: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f174]) ).
thf(f244,plain,
! [X1: $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f243]) ).
thf(f245,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK5 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK1 @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( princ_inj @ sK0 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
@ sK7 ) ),
inference(sigma_proxy_clausification,[],[f230]) ).
thf(f248,plain,
( $false
= ( ( reli @ sK5 @ sK7 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ sK0 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f245]) ).
thf(f249,plain,
( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ sK0 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f248]) ).
thf(f250,plain,
( ( reli @ sK5 @ sK7 )
= $true ),
inference(imp_proxy_clausification,[],[f248]) ).
thf(f251,plain,
( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ sK0 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f249]) ).
thf(f252,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( sK1 @ Y0 ) ) ) ),
inference(or_proxy_clausification,[],[f249]) ).
thf(f253,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ sK0 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[],[f251]) ).
thf(f258,plain,
! [X2: $i,X1: $i > $o] :
( $true
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f244]) ).
thf(f259,plain,
! [X2: $i,X1: $i > $o] :
( ( ( X1 @ X2 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f258]) ).
thf(f260,plain,
! [X2: $i,X1: $i > $o] :
( ( ( X1 @ X2 )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f259]) ).
thf(f261,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(not_proxy_clausification,[],[f260]) ).
thf(f262,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i] :
( ( relr @ X2 @ Y0 )
=> ( X1 @ Y0 ) )
@ ( sK8 @ X1 @ X2 ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f261]) ).
thf(f265,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( ( relr @ X2 @ ( sK8 @ X1 @ X2 ) )
=> ( X1 @ ( sK8 @ X1 @ X2 ) ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(beta-eta_normalization,[],[f262]) ).
thf(f266,plain,
! [X2: $i,X1: $i > $o] :
( ( $false
= ( X1 @ ( sK8 @ X1 @ X2 ) ) )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f265]) ).
thf(f267,plain,
! [X2: $i,X1: $i > $o] :
( ( ( relr @ X2 @ ( sK8 @ X1 @ X2 ) )
= $true )
| ( ( X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f265]) ).
thf(f268,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( sK1 @ Y0 ) )
@ ( sK6 @ sK1 @ sK7 ) ) ),
inference(sigma_proxy_clausification,[],[f252]) ).
thf(f271,plain,
( $false
= ( ( reli @ sK7 @ ( sK6 @ sK1 @ sK7 ) )
=> ( sK1 @ ( sK6 @ sK1 @ sK7 ) ) ) ),
inference(beta-eta_normalization,[],[f268]) ).
thf(f272,plain,
( $false
= ( sK1 @ ( sK6 @ sK1 @ sK7 ) ) ),
inference(imp_proxy_clausification,[],[f271]) ).
thf(f273,plain,
( ( reli @ sK7 @ ( sK6 @ sK1 @ sK7 ) )
= $true ),
inference(imp_proxy_clausification,[],[f271]) ).
thf(f276,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK1 @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( princ_inj @ sK0 @ Y3 ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f253]) ).
thf(f277,plain,
! [X1: $i] :
( ( ( reli @ sK7 @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ sK0 @ Y2 ) ) ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f276]) ).
thf(f278,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ sK0 @ Y2 ) ) ) ) ) ) ) ) )
| ( $false
= ( reli @ sK7 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f277]) ).
thf(f281,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( princ_inj @ sK0 @ Y2 ) ) ) ) ) ) )
@ X2 )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f278]) ).
thf(f282,plain,
! [X2: $i,X1: $i] :
( ( ( ( relr @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) ) ) )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f281]) ).
thf(f283,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) ) )
= $true )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( reli @ sK7 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f282]) ).
thf(f287,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f283]) ).
thf(f288,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( ( reli @ X2 @ X3 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f287]) ).
thf(f289,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ) )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( relr @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f288]) ).
thf(f290,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f289]) ).
thf(f291,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f290]) ).
thf(f294,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) )
@ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( reli @ X2 @ X3 ) ) ),
inference(sigma_proxy_clausification,[],[f291]) ).
thf(f297,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
= $true )
| ( $false
= ( ( reli @ X3 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) )
=> ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f294]) ).
thf(f298,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) ) )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( relr @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f297]) ).
thf(f299,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
= $true )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( reli @ X3 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f297]) ).
thf(f305,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f298]) ).
thf(f306,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) ) )
| ( ( ( reli @ X3 @ X4 )
=> ( sK1 @ X4 ) )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( reli @ X2 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f305]) ).
thf(f307,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) ) )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( sK1 @ X4 )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( reli @ X3 @ X4 ) )
| ( $false
= ( relr @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f306]) ).
thf(f310,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( reli @ X2 @ X3 ) )
| ( ( reli @ X3 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( relr @ X1 @ X2 ) ) ),
inference(pi_proxy_clausification,[],[f299]) ).
thf(f311,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( relr @ X1 @ X2 ) )
| ( ( ( reli @ X3 @ X4 )
=> ( sK1 @ X4 ) )
= $true )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( ( reli @ X3 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f310]) ).
thf(f312,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( reli @ X3 @ ( sK6 @ ( princ_inj @ sK0 ) @ X3 ) )
= $true )
| ( $false
= ( reli @ X3 @ X4 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( sK1 @ X4 )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f311]) ).
thf(f331,plain,
! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( Y0 @ Y3 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f172]) ).
thf(f332,plain,
! [X1: $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( X1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f331]) ).
thf(f346,definition,
( spl9_5
<=> ( ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ sK5 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).
thf(f347,plain,
( ( ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ sK5 ) )
!= $true )
| spl9_5 ),
inference(avatar_component_clause,[],[f346]) ).
thf(f348,plain,
( ( ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ sK5 ) )
= $true )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f346]) ).
thf(f361,plain,
! [X2: $i,X1: $i > $o] :
( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( X1 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f332]) ).
thf(f362,plain,
! [X2: $i,X1: $i > $o] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f361]) ).
thf(f363,plain,
! [X2: $i,X1: $i > $o] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f362]) ).
thf(f364,plain,
! [X2: $i,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) ) )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f363]) ).
thf(f365,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X1 @ Y1 ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f364]) ).
thf(f366,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( ( reli @ X2 @ X3 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f365]) ).
thf(f367,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f366]) ).
thf(f383,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( X1 @ Y0 ) )
@ ( sK6 @ X1 @ X2 ) ) ) ),
inference(sigma_proxy_clausification,[],[f367]) ).
thf(f386,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( $false
= ( ( reli @ X2 @ ( sK6 @ X1 @ X2 ) )
=> ( X1 @ ( sK6 @ X1 @ X2 ) ) ) )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f383]) ).
thf(f387,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( $false
= ( X1 @ ( sK6 @ X1 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f386]) ).
thf(f388,plain,
! [X2: $i,X3: $i,X1: $i > $o] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) ) )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( ( reli @ X2 @ ( sK6 @ X1 @ X2 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f386]) ).
thf(f418,plain,
! [X0: $i] :
( ( $true
= ( reli @ X0 @ X0 ) )
| ( $false = $true )
| ( $true
= ( reli @ X0 @ X0 ) ) ),
inference(superposition,[],[f239,f240]) ).
thf(f421,plain,
! [X0: $i] :
( ( $true
= ( reli @ X0 @ X0 ) )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f418]) ).
thf(f422,plain,
! [X0: $i] :
( $true
= ( reli @ X0 @ X0 ) ),
inference(trivial_inequality_removal,[],[f421]) ).
thf(f496,plain,
! [X0: $i] :
( ( ( relr @ X0 @ X0 )
= $true )
| ( ( relr @ X0 @ X0 )
= $true )
| ( $false = $true ) ),
inference(superposition,[],[f267,f266]) ).
thf(f498,plain,
! [X0: $i] :
( ( ( relr @ X0 @ X0 )
= $true )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f496]) ).
thf(f499,plain,
! [X0: $i] :
( ( relr @ X0 @ X0 )
= $true ),
inference(trivial_inequality_removal,[],[f498]) ).
thf(f502,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( X1 @ ( sK6 @ X1 @ X2 ) ) )
| ( $false
= ( reli @ X2 @ X3 ) ) ),
inference(pi_proxy_clausification,[],[f387]) ).
thf(f503,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $false
= ( X1 @ ( sK6 @ X1 @ X2 ) ) )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( ( ( reli @ X3 @ X4 )
=> ( X1 @ X4 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f502]) ).
thf(f504,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $false
= ( X1 @ ( sK6 @ X1 @ X2 ) ) )
| ( ( X1 @ X4 )
= $true )
| ( $false
= ( reli @ X3 @ X4 ) )
| ( $false
= ( reli @ X2 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f503]) ).
thf(f576,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( X1 @ Y0 ) )
@ X4 )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( ( reli @ X2 @ ( sK6 @ X1 @ X2 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f388]) ).
thf(f577,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( $false
= ( reli @ X2 @ X3 ) )
| ( ( reli @ X2 @ ( sK6 @ X1 @ X2 ) )
= $true )
| ( ( ( reli @ X3 @ X4 )
=> ( X1 @ X4 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f576]) ).
thf(f578,plain,
! [X2: $i,X3: $i,X1: $i > $o,X4: $i] :
( ( ( reli @ X2 @ ( sK6 @ X1 @ X2 ) )
= $true )
| ( $false
= ( reli @ X2 @ X3 ) )
| ( ( X1 @ X4 )
= $true )
| ( $false
= ( reli @ X3 @ X4 ) ) ),
inference(imp_proxy_clausification,[],[f577]) ).
thf(f580,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( princ_inj @ sK0 @ ( sK6 @ X0 @ sK5 ) )
= $true )
| ( $false = $true )
| ( $false
= ( reli @ X1 @ X2 ) )
| ( $false
= ( reli @ sK5 @ X1 ) )
| ( ( X0 @ X2 )
= $true ) ),
inference(superposition,[],[f578,f234]) ).
thf(f581,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false
= ( reli @ X0 @ X4 ) )
| ( $false
= ( reli @ X1 @ X2 ) )
| ( $false = $true )
| ( $false
= ( reli @ X0 @ X1 ) )
| ( ( reli @ X0 @ X3 )
= $true )
| ( $false
= ( reli @ X4 @ X3 ) )
| ( ( reli @ X0 @ X2 )
= $true ) ),
inference(superposition,[],[f578,f504]) ).
thf(f591,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( princ_inj @ sK0 @ ( sK6 @ X0 @ sK5 ) )
= $true )
| ( $false
= ( reli @ sK5 @ X1 ) )
| ( $false
= ( reli @ X1 @ X2 ) )
| ( ( X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f580]) ).
thf(f592,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false
= ( reli @ X4 @ X3 ) )
| ( $false
= ( reli @ X0 @ X4 ) )
| ( $false
= ( reli @ X0 @ X1 ) )
| ( $false
= ( reli @ X1 @ X2 ) )
| ( ( reli @ X0 @ X3 )
= $true )
| ( ( reli @ X0 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f581]) ).
thf(f622,definition,
( spl9_10
<=> ! [X0: $i,X1: $i] :
( ( ( princ_inj @ sK0 @ X0 )
= $true )
| ( $false
= ( reli @ sK5 @ X1 ) )
| ( $false
= ( reli @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).
thf(f623,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( reli @ sK5 @ X1 ) )
| ( ( princ_inj @ sK0 @ X0 )
= $true )
| ( $false
= ( reli @ X1 @ X0 ) ) )
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f622]) ).
thf(f632,plain,
( ! [X0: $i,X1: $i] :
( ( ( princ_inj @ sK0 @ X0 )
= $true )
| ( $false
= ( reli @ sK5 @ X1 ) )
| ( $false = $true )
| ( $false
= ( reli @ X1 @ X0 ) ) )
| ~ spl9_5 ),
inference(superposition,[],[f504,f348]) ).
thf(f634,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( reli @ X1 @ X0 ) )
| ( $false
= ( reli @ sK5 @ X1 ) )
| ( ( princ_inj @ sK0 @ X0 )
= $true ) )
| ~ spl9_5 ),
inference(trivial_inequality_removal,[],[f632]) ).
thf(f642,plain,
( spl9_10
| ~ spl9_5 ),
inference(avatar_split_clause,[],[f634,f346,f622]) ).
thf(f653,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( princ_inj @ sK0 @ X1 )
= $true )
| ( $false
= ( reli @ X0 @ X1 ) )
| ( $false
= ( reli @ sK5 @ X0 ) ) )
| spl9_5 ),
inference(superposition,[],[f347,f591]) ).
thf(f661,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( reli @ X0 @ X1 ) )
| ( $false
= ( reli @ sK5 @ X0 ) )
| ( ( princ_inj @ sK0 @ X1 )
= $true ) )
| spl9_5 ),
inference(trivial_inequality_removal,[],[f653]) ).
thf(f662,plain,
( spl9_10
| spl9_5 ),
inference(avatar_split_clause,[],[f661,f346,f622]) ).
thf(f1588,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( reli @ X2 @ X0 ) )
| ( $false
= ( reli @ X2 @ X0 ) )
| ( $true
= ( reli @ X2 @ X1 ) )
| ( $false
= ( reli @ X0 @ X1 ) )
| ( $false != $false )
| ( $true
= ( reli @ X2 @ X1 ) ) ),
inference(equality_factoring,[],[f592]) ).
thf(f1609,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( reli @ X0 @ X1 ) )
| ( $false
= ( reli @ X2 @ X0 ) )
| ( $true
= ( reli @ X2 @ X1 ) )
| ( $false != $false ) ),
inference(duplicate_literal_removal,[],[f1588]) ).
thf(f1610,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( reli @ X2 @ X1 ) )
| ( $false
= ( reli @ X0 @ X1 ) )
| ( $false
= ( reli @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1609]) ).
thf(f2009,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( reli @ X1 @ X0 ) )
| ( ( princ_inj @ sK0 @ X2 )
= $true )
| ( $false
= ( reli @ sK5 @ X1 ) )
| ( $false
= ( reli @ X0 @ X2 ) )
| ( $false = $true ) )
| ~ spl9_10 ),
inference(superposition,[],[f1610,f623]) ).
thf(f2083,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( reli @ sK5 @ X1 ) )
| ( ( princ_inj @ sK0 @ X2 )
= $true )
| ( $false
= ( reli @ X0 @ X2 ) )
| ( $false
= ( reli @ X1 @ X0 ) ) )
| ~ spl9_10 ),
inference(trivial_inequality_removal,[],[f2009]) ).
thf(f5640,plain,
( ! [X0: $i,X1: $i] :
( ( ( princ_inj @ sK0 @ X0 )
= $true )
| ( $false = $true )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( reli @ X1 @ X0 ) ) )
| ~ spl9_10 ),
inference(superposition,[],[f2083,f250]) ).
thf(f5671,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( princ_inj @ sK0 @ X0 )
= $true )
| ( $false
= ( reli @ X1 @ X0 ) ) )
| ~ spl9_10 ),
inference(trivial_inequality_removal,[],[f5640]) ).
thf(f5742,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( reli @ ( sK6 @ ( princ_inj @ sK0 ) @ sK7 ) @ X3 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( reli @ sK7 @ X0 )
= $false )
| ( ( sK1 @ X0 )
= $true )
| ( $true
= ( princ_inj @ sK0 @ X3 ) )
| ( $false = $true )
| ( ( reli @ X2 @ sK7 )
= $false ) )
| ~ spl9_10 ),
inference(superposition,[],[f312,f5671]) ).
thf(f5793,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK1 @ X0 )
= $true )
| ( $false
= ( reli @ ( sK6 @ ( princ_inj @ sK0 ) @ sK7 ) @ X3 ) )
| ( $true
= ( princ_inj @ sK0 @ X3 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ X2 @ sK7 )
= $false )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( reli @ sK7 @ X0 )
= $false ) )
| ~ spl9_10 ),
inference(trivial_inequality_removal,[],[f5742]) ).
thf(f5849,definition,
( spl9_113
<=> ! [X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( sK1 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl9_113])],[avatar_definition]) ).
thf(f5850,plain,
( ! [X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( ( sK1 @ X1 )
= $true ) )
| ~ spl9_113 ),
inference(avatar_component_clause,[],[f5849]) ).
thf(f5852,definition,
( spl9_114
<=> ! [X2: $i,X3: $i] :
( ( $false
= ( reli @ X3 @ sK7 ) )
| ( $false
= ( reli @ sK7 @ X2 ) )
| ( $false
= ( relr @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_114])],[avatar_definition]) ).
thf(f5853,plain,
( ! [X2: $i,X3: $i] :
( ( $false
= ( relr @ X2 @ X3 ) )
| ( $false
= ( reli @ X3 @ sK7 ) )
| ( $false
= ( reli @ sK7 @ X2 ) ) )
| ~ spl9_114 ),
inference(avatar_component_clause,[],[f5852]) ).
thf(f5855,definition,
( spl9_115
<=> ! [X0: $i] :
( ( ( princ_inj @ sK0 @ X0 )
= $true )
| ( $false
= ( reli @ ( sK6 @ ( princ_inj @ sK0 ) @ sK7 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl9_115])],[avatar_definition]) ).
thf(f5856,plain,
( ! [X0: $i] :
( ( $false
= ( reli @ ( sK6 @ ( princ_inj @ sK0 ) @ sK7 ) @ X0 ) )
| ( ( princ_inj @ sK0 @ X0 )
= $true ) )
| ~ spl9_115 ),
inference(avatar_component_clause,[],[f5855]) ).
thf(f5864,plain,
( spl9_113
| spl9_114
| spl9_115
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f5793,f622,f5855,f5852,f5849]) ).
thf(f5892,plain,
( ( $true
= ( sK1 @ ( sK6 @ sK1 @ sK7 ) ) )
| ( $false = $true )
| ~ spl9_113 ),
inference(superposition,[],[f273,f5850]) ).
thf(f5950,plain,
( ( $true
= ( sK1 @ ( sK6 @ sK1 @ sK7 ) ) )
| ~ spl9_113 ),
inference(trivial_inequality_removal,[],[f5892]) ).
thf(f5998,plain,
( ( $false = $true )
| ~ spl9_113 ),
inference(forward_demodulation,[],[f5950,f272]) ).
thf(f5999,plain,
( $false
| ~ spl9_113 ),
inference(trivial_inequality_removal,[],[f5998]) ).
thf(f6000,plain,
~ spl9_113,
inference(avatar_contradiction_clause,[],[f5999]) ).
thf(f6688,plain,
( ! [X0: $i] :
( ( $false
= ( reli @ X0 @ sK7 ) )
| ( $false = $true )
| ( ( reli @ sK7 @ X0 )
= $false ) )
| ~ spl9_114 ),
inference(superposition,[],[f499,f5853]) ).
thf(f6744,plain,
( ! [X0: $i] :
( ( $false
= ( reli @ X0 @ sK7 ) )
| ( ( reli @ sK7 @ X0 )
= $false ) )
| ~ spl9_114 ),
inference(trivial_inequality_removal,[],[f6688]) ).
thf(f6772,plain,
( ( $false
= ( reli @ sK7 @ sK7 ) )
| ( $false = $true )
| ~ spl9_114 ),
inference(superposition,[],[f422,f6744]) ).
thf(f6784,plain,
( ( $false
= ( reli @ sK7 @ sK7 ) )
| ~ spl9_114 ),
inference(trivial_inequality_removal,[],[f6772]) ).
thf(f6788,plain,
( ( $false = $true )
| ~ spl9_114 ),
inference(forward_demodulation,[],[f6784,f422]) ).
thf(f6789,plain,
( $false
| ~ spl9_114 ),
inference(trivial_inequality_removal,[],[f6788]) ).
thf(f6790,plain,
~ spl9_114,
inference(avatar_contradiction_clause,[],[f6789]) ).
thf(f7470,plain,
( ( $false = $true )
| ( ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ sK7 ) )
= $true )
| ~ spl9_115 ),
inference(superposition,[],[f422,f5856]) ).
thf(f7492,plain,
( ( ( princ_inj @ sK0 @ ( sK6 @ ( princ_inj @ sK0 ) @ sK7 ) )
= $true )
| ~ spl9_115 ),
inference(trivial_inequality_removal,[],[f7470]) ).
thf(f7600,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( reli @ sK7 @ X0 )
= $false )
| ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( relr @ X0 @ X2 ) )
| ( ( sK1 @ X1 )
= $true )
| ( ( reli @ X2 @ sK7 )
= $false )
| ( $false = $true ) )
| ~ spl9_115 ),
inference(superposition,[],[f7492,f307]) ).
thf(f7613,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( reli @ sK7 @ X1 ) )
| ( $false
= ( relr @ X0 @ X2 ) )
| ( ( reli @ X2 @ sK7 )
= $false )
| ( ( reli @ sK7 @ X0 )
= $false )
| ( ( sK1 @ X1 )
= $true ) )
| ~ spl9_115 ),
inference(trivial_inequality_removal,[],[f7600]) ).
thf(f7625,plain,
( spl9_114
| spl9_113
| ~ spl9_115 ),
inference(avatar_split_clause,[],[f7613,f5855,f5849,f5852]) ).
cnf(s14,plain,
( ~ spl9_5
| spl9_10 ),
inference(sat_conversion,[],[f642]) ).
cnf(s18,plain,
( spl9_5
| spl9_10 ),
inference(sat_conversion,[],[f662]) ).
cnf(s211,plain,
( ~ spl9_10
| spl9_113
| spl9_114
| spl9_115 ),
inference(sat_conversion,[],[f5864]) ).
cnf(s232,plain,
~ spl9_113,
inference(sat_conversion,[],[f6000]) ).
cnf(s271,plain,
~ spl9_114,
inference(sat_conversion,[],[f6790]) ).
cnf(s306,plain,
( spl9_113
| spl9_114
| ~ spl9_115 ),
inference(sat_conversion,[],[f7625]) ).
cnf(s310,plain,
~ spl9_115,
inference(rat,[],[s306,s271,s232]) ).
cnf(s311,plain,
~ spl9_10,
inference(rat,[],[s211,s310,s271,s232]) ).
cnf(s327,plain,
spl9_5,
inference(rat,[],[s18,s311]) ).
cnf(s331,plain,
$false,
inference(rat,[],[s14,s311,s327]) ).
thf(f7627,plain,
$false,
inference(avatar_sat_refutation,[],[s331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV446^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:04:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.37 % (1850491)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.37 % (1850496)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2948469770:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.37 % (1850502)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.37 % (1850502)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
% 0.20/0.37 % (1850497)lrs+10_16_si=on:nwc=1.5:random_seed=3835456411:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (1850498)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2941905146:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.37 % (1850500)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2061674365:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.37 % (1850499)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=3592680137: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)
% 0.20/0.37 % (1850501)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3088253498:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.37 % (1850502)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=3711912854:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.37 % (1850498)Instruction limit reached!
% 0.20/0.37 % (1850498)------------------------------
% 0.20/0.37 % (1850498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (1850498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (1850498)CaDiCaL version: 2.1.3
% 0.20/0.37 % (1850498)Termination reason: Instruction limit
% 0.20/0.37 % (1850498)Termination phase: Property scanning
% 0.20/0.37 % (1850498)Time elapsed: 0.002 s
% 0.20/0.37 % (1850498)Peak memory usage: 10 MB
% 0.20/0.37 % (1850498)Instructions burned: 3 (million)
% 0.20/0.37 % (1850497)Instruction limit reached!
% 0.20/0.37 % (1850497)------------------------------
% 0.20/0.37 % (1850497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (1850497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (1850497)CaDiCaL version: 2.1.3
% 0.20/0.37 % (1850497)Termination reason: Instruction limit
% 0.20/0.37 % (1850497)Termination phase: Saturation
% 0.20/0.37 % (1850497)Time elapsed: 0.008 s
% 0.20/0.37 % (1850497)Peak memory usage: 11 MB
% 0.20/0.37 % (1850497)Instructions burned: 18 (million)
% 0.20/0.37 % (1850500)Instruction limit reached!
% 0.20/0.37 % (1850500)------------------------------
% 0.20/0.37 % (1850500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (1850500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (1850500)CaDiCaL version: 2.1.3
% 0.20/0.37 % (1850500)Termination reason: Instruction limit
% 0.20/0.37 % (1850500)Termination phase: Saturation
% 0.20/0.37 % (1850500)Time elapsed: 0.013 s
% 0.20/0.37 % (1850500)Peak memory usage: 12 MB
% 0.20/0.37 % (1850500)Instructions burned: 24 (million)
% 0.20/0.37 % (1850496)Instruction limit reached!
% 0.20/0.37 % (1850496)------------------------------
% 0.20/0.37 % (1850496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.37 % (1850496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.37 % (1850496)CaDiCaL version: 2.1.3
% 0.20/0.37 % (1850496)Termination reason: Instruction limit
% 0.20/0.37 % (1850496)Termination phase: Saturation
% 0.20/0.37 % (1850496)Time elapsed: 0.022 s
% 0.20/0.37 % (1850496)Peak memory usage: 12 MB
% 0.20/0.37 % (1850496)Instructions burned: 89 (million)
% 0.20/0.37 % (1850510)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=107631123:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (1850512)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.38 % (1850510)Instruction limit reached!
% 0.78/0.38 % (1850510)------------------------------
% 0.78/0.38 % (1850510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1850510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1850510)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1850510)Termination reason: Instruction limit
% 0.78/0.38 % (1850510)Termination phase: Property scanning
% 0.78/0.38 % (1850510)Time elapsed: 0.001 s
% 0.78/0.38 % (1850510)Peak memory usage: 10 MB
% 0.78/0.38 % (1850510)Instructions burned: 3 (million)
% 0.78/0.38 % (1850512)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3732347478:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.38 % (1850511)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2719966603:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.38 % (1850512)Instruction limit reached!
% 0.78/0.38 % (1850512)------------------------------
% 0.78/0.38 % (1850512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1850512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1850512)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1850512)Termination reason: Instruction limit
% 0.78/0.38 % (1850512)Termination phase: Saturation
% 0.78/0.38 % (1850512)Time elapsed: 0.003 s
% 0.78/0.38 % (1850512)Peak memory usage: 11 MB
% 0.78/0.38 % (1850512)Instructions burned: 16 (million)
% 0.78/0.38 % (1850511)Instruction limit reached!
% 0.78/0.38 % (1850511)------------------------------
% 0.78/0.38 % (1850511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1850511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1850511)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1850511)Termination reason: Instruction limit
% 0.78/0.38 % (1850511)Termination phase: Function definition elimination
% 0.78/0.38 % (1850511)Time elapsed: 0.002 s
% 0.78/0.38 % (1850511)Peak memory usage: 10 MB
% 0.78/0.38 % (1850511)Instructions burned: 5 (million)
% 0.78/0.38 % (1850513)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3801565228:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.38 % (1850515)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
% 0.78/0.38 % (1850515)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.38 % (1850501)Instruction limit reached!
% 0.78/0.38 % (1850501)------------------------------
% 0.78/0.38 % (1850501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1850501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1850501)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1850501)Termination reason: Instruction limit
% 0.78/0.38 % (1850501)Termination phase: Saturation
% 0.78/0.38 % (1850501)Time elapsed: 0.038 s
% 0.78/0.38 % (1850501)Peak memory usage: 12 MB
% 0.78/0.38 % (1850501)Instructions burned: 76 (million)
% 0.78/0.38 % (1850513)Instruction limit reached!
% 0.78/0.38 % (1850513)------------------------------
% 0.78/0.38 % (1850513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.38 % (1850513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.38 % (1850513)CaDiCaL version: 2.1.3
% 0.78/0.38 % (1850513)Termination reason: Instruction limit
% 0.78/0.38 % (1850513)Termination phase: Saturation
% 0.78/0.38 % (1850513)Time elapsed: 0.006 s
% 0.78/0.38 % (1850513)Peak memory usage: 11 MB
% 0.78/0.38 % (1850513)Instructions burned: 12 (million)
% 0.78/0.38 % (1850518)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=300815620:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.38 % (1850515)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2183600314:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.38 % (1850519)lrs+10_1_si=on:cs=on:random_seed=3776659674:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.41 % (1850522)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.41 % (1850523)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3686134385:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.78/0.41 % (1850522)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=2936315450:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.41 % (1850515)Instruction limit reached!
% 0.78/0.41 % (1850515)------------------------------
% 0.78/0.41 % (1850515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1850515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1850515)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1850515)Termination reason: Instruction limit
% 0.78/0.41 % (1850515)Termination phase: Saturation
% 0.78/0.41 % (1850515)Time elapsed: 0.016 s
% 0.78/0.41 % (1850515)Peak memory usage: 12 MB
% 0.78/0.41 % (1850515)Instructions burned: 35 (million)
% 0.78/0.41 % (1850522)Instruction limit reached!
% 0.78/0.41 % (1850522)------------------------------
% 0.78/0.41 % (1850522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1850522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1850522)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1850522)Termination reason: Instruction limit
% 0.78/0.41 % (1850522)Termination phase: Property scanning
% 0.78/0.41 % (1850522)Time elapsed: 0.003 s
% 0.78/0.41 % (1850522)Peak memory usage: 10 MB
% 0.78/0.41 % (1850522)Instructions burned: 6 (million)
% 0.78/0.41 % (1850519)Instruction limit reached!
% 0.78/0.41 % (1850519)------------------------------
% 0.78/0.41 % (1850519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1850519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1850519)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1850519)Termination reason: Instruction limit
% 0.78/0.41 % (1850519)Termination phase: Property scanning
% 0.78/0.41 % (1850519)Time elapsed: 0.008 s
% 0.78/0.41 % (1850519)Peak memory usage: 10 MB
% 0.78/0.41 % (1850519)Instructions burned: 8 (million)
% 0.78/0.41 % (1850523)Refutation not found, incomplete strategy
% 0.78/0.41 % (1850523)------------------------------
% 0.78/0.41 % (1850523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1850523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1850523)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1850523)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.41 % (1850523)Time elapsed: 0.005 s
% 0.78/0.41 % (1850523)Peak memory usage: 12 MB
% 0.78/0.41 % (1850523)Instructions burned: 8 (million)
% 0.78/0.41 % (1850523)------------------------------
% 0.78/0.41 % (1850523)------------------------------
% 0.78/0.41 % (1850518)Instruction limit reached!
% 0.78/0.41 % (1850518)------------------------------
% 0.78/0.41 % (1850518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1850518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1850518)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1850518)Termination reason: Instruction limit
% 0.78/0.41 % (1850518)Termination phase: Saturation
% 0.78/0.41 % (1850518)Time elapsed: 0.027 s
% 0.78/0.41 % (1850518)Peak memory usage: 13 MB
% 0.78/0.41 % (1850518)Instructions burned: 100 (million)
% 0.78/0.41 % (1850532)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2978562330:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.41 % (1850502)Instruction limit reached!
% 0.78/0.41 % (1850502)------------------------------
% 0.78/0.41 % (1850502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41 % (1850502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41 % (1850502)CaDiCaL version: 2.1.3
% 0.78/0.41 % (1850502)Termination reason: Instruction limit
% 0.78/0.41 % (1850502)Termination phase: Saturation
% 0.78/0.41 % (1850502)Time elapsed: 0.078 s
% 0.78/0.41 % (1850502)Peak memory usage: 13 MB
% 0.78/0.41 % (1850502)Instructions burned: 158 (million)
% 0.78/0.41 % (1850529)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=619896596:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.78/0.44 % (1850532)Instruction limit reached!
% 0.78/0.44 % (1850532)------------------------------
% 0.78/0.44 % (1850532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44 % (1850532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44 % (1850532)CaDiCaL version: 2.1.3
% 0.78/0.44 % (1850532)Termination reason: Instruction limit
% 0.78/0.44 % (1850532)Termination phase: Saturation
% 0.78/0.44 % (1850532)Time elapsed: 0.004 s
% 0.78/0.44 % (1850532)Peak memory usage: 11 MB
% 0.78/0.44 % (1850532)Instructions burned: 16 (million)
% 0.78/0.44 % (1850531)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3883919686:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.78/0.44 % (1850531)Refutation not found, incomplete strategy
% 0.78/0.44 % (1850531)------------------------------
% 0.78/0.44 % (1850531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44 % (1850531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44 % (1850531)CaDiCaL version: 2.1.3
% 0.78/0.44 % (1850531)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.44 % (1850531)Time elapsed: 0.006 s
% 0.78/0.44 % (1850531)Peak memory usage: 12 MB
% 0.78/0.44 % (1850531)Instructions burned: 11 (million)
% 0.78/0.44 % (1850531)------------------------------
% 0.78/0.44 % (1850531)------------------------------
% 0.78/0.44 % (1850537)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1066618004:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.78/0.44 % (1850528)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4165734673:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.78/0.44 % (1850530)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3174937341:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.44 % (1850528)Refutation not found, incomplete strategy
% 0.78/0.44 % (1850528)------------------------------
% 0.78/0.44 % (1850528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44 % (1850528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44 % (1850528)CaDiCaL version: 2.1.3
% 0.78/0.44 % (1850528)Termination reason: Refutation not found, incomplete strategy
% 0.78/0.44 % (1850528)Time elapsed: 0.004 s
% 0.78/0.44 % (1850528)Peak memory usage: 12 MB
% 0.78/0.44 % (1850528)Instructions burned: 6 (million)
% 0.78/0.44 % (1850529)Instruction limit reached!
% 0.78/0.44 % (1850529)------------------------------
% 0.78/0.44 % (1850529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44 % (1850529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44 % (1850529)CaDiCaL version: 2.1.3
% 0.78/0.44 % (1850529)Termination reason: Instruction limit
% 0.78/0.44 % (1850529)Termination phase: Saturation
% 0.78/0.44 % (1850529)Time elapsed: 0.015 s
% 0.78/0.44 % (1850529)Peak memory usage: 12 MB
% 0.78/0.44 % (1850529)Instructions burned: 27 (million)
% 0.78/0.44 % (1850534)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2605639828: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)
% 0.78/0.44 % (1850528)------------------------------
% 0.78/0.44 % (1850528)------------------------------
% 0.78/0.44 % (1850534)Instruction limit reached!
% 0.78/0.44 % (1850534)------------------------------
% 0.78/0.44 % (1850534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44 % (1850534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44 % (1850534)CaDiCaL version: 2.1.3
% 0.78/0.44 % (1850534)Termination reason: Instruction limit
% 0.78/0.44 % (1850534)Termination phase: shuffling
% 0.78/0.44 % (1850534)Time elapsed: 0.002 s
% 0.78/0.44 % (1850534)Peak memory usage: 10 MB
% 0.78/0.44 % (1850534)Instructions burned: 4 (million)
% 0.78/0.44 % (1850530)Instruction limit reached!
% 0.78/0.44 % (1850530)------------------------------
% 0.78/0.44 % (1850530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44 % (1850530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44 % (1850530)CaDiCaL version: 2.1.3
% 0.78/0.44 % (1850530)Termination reason: Instruction limit
% 0.78/0.44 % (1850530)Termination phase: Saturation
% 0.78/0.48 % (1850530)Time elapsed: 0.006 s
% 0.78/0.48 % (1850530)Peak memory usage: 12 MB
% 0.78/0.48 % (1850530)Instructions burned: 14 (million)
% 0.78/0.48 % (1850537)Instruction limit reached!
% 0.78/0.48 % (1850537)------------------------------
% 0.78/0.48 % (1850537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.48 % (1850537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.48 % (1850537)CaDiCaL version: 2.1.3
% 0.78/0.48 % (1850537)Termination reason: Instruction limit
% 0.78/0.48 % (1850537)Termination phase: Saturation
% 0.78/0.48 % (1850537)Time elapsed: 0.009 s
% 0.78/0.48 % (1850537)Peak memory usage: 12 MB
% 0.78/0.48 % (1850537)Instructions burned: 34 (million)
% 0.78/0.48 % (1850538)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1027654772:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.78/0.48 % (1850547)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1973359388:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.78/0.48 % (1850544)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
% 0.78/0.48 % (1850544)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.78/0.48 % (1850547)Instruction limit reached!
% 0.78/0.48 % (1850547)------------------------------
% 0.78/0.48 % (1850547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.48 % (1850547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.48 % (1850547)CaDiCaL version: 2.1.3
% 0.78/0.48 % (1850547)Termination reason: Instruction limit
% 0.78/0.48 % (1850547)Termination phase: Saturation
% 0.78/0.48 % (1850547)Time elapsed: 0.002 s
% 0.78/0.48 % (1850547)Peak memory usage: 11 MB
% 0.78/0.48 % (1850547)Instructions burned: 10 (million)
% 0.78/0.48 % (1850545)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.78/0.48 % (1850543)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1089400441:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.78/0.48 % (1850544)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=261457264:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.48 % (1850546)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=3958001996:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.78/0.48 % (1850545)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=3522436641:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.78/0.48 % (1850538)Instruction limit reached!
% 0.78/0.48 % (1850538)------------------------------
% 0.78/0.48 % (1850538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.48 % (1850538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.48 % (1850538)CaDiCaL version: 2.1.3
% 0.78/0.48 % (1850538)Termination reason: Instruction limit
% 0.78/0.48 % (1850538)Termination phase: Saturation
% 0.78/0.48 % (1850538)Time elapsed: 0.011 s
% 0.78/0.48 % (1850538)Peak memory usage: 11 MB
% 0.78/0.48 % (1850538)Instructions burned: 24 (million)
% 0.78/0.48 % (1850545)Instruction limit reached!
% 0.78/0.48 % (1850545)------------------------------
% 0.78/0.48 % (1850545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.48 % (1850545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.48 % (1850545)CaDiCaL version: 2.1.3
% 0.78/0.48 % (1850545)Termination reason: Instruction limit
% 0.78/0.48 % (1850545)Termination phase: Saturation
% 0.78/0.48 % (1850545)Time elapsed: 0.005 s
% 0.78/0.48 % (1850545)Peak memory usage: 12 MB
% 0.78/0.48 % (1850545)Instructions burned: 10 (million)
% 0.78/0.48 % (1850544)Instruction limit reached!
% 0.78/0.48 % (1850544)------------------------------
% 0.78/0.48 % (1850544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.48 % (1850544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.52 % (1850544)CaDiCaL version: 2.1.3
% 1.55/0.52 % (1850544)Termination reason: Instruction limit
% 1.55/0.52 % (1850544)Termination phase: Saturation
% 1.55/0.52 % (1850544)Time elapsed: 0.007 s
% 1.55/0.52 % (1850544)Peak memory usage: 11 MB
% 1.55/0.52 % (1850544)Instructions burned: 16 (million)
% 1.55/0.52 % (1850550)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=214486188:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.55/0.52 % (1850550)Instruction limit reached!
% 1.55/0.52 % (1850550)------------------------------
% 1.55/0.52 % (1850550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.52 % (1850550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.52 % (1850550)CaDiCaL version: 2.1.3
% 1.55/0.52 % (1850550)Termination reason: Instruction limit
% 1.55/0.52 % (1850550)Termination phase: Saturation
% 1.55/0.52 % (1850550)Time elapsed: 0.006 s
% 1.55/0.52 % (1850550)Peak memory usage: 11 MB
% 1.55/0.52 % (1850550)Instructions burned: 28 (million)
% 1.55/0.52 % (1850546)Instruction limit reached!
% 1.55/0.52 % (1850546)------------------------------
% 1.55/0.52 % (1850546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.52 % (1850546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.52 % (1850546)CaDiCaL version: 2.1.3
% 1.55/0.52 % (1850546)Termination reason: Instruction limit
% 1.55/0.52 % (1850546)Termination phase: Saturation
% 1.55/0.52 % (1850546)Time elapsed: 0.018 s
% 1.55/0.52 % (1850546)Peak memory usage: 12 MB
% 1.55/0.52 % (1850546)Instructions burned: 33 (million)
% 1.55/0.52 % (1850555)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=325378343:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.55/0.52 % (1850559)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1949251975:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.55/0.52 % (1850556)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2008191072:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.55/0.52 % (1850557)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3909925677:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.55/0.52 % (1850559)Refutation not found, incomplete strategy
% 1.55/0.52 % (1850559)------------------------------
% 1.55/0.52 % (1850559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.52 % (1850559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.52 % (1850559)CaDiCaL version: 2.1.3
% 1.55/0.52 % (1850559)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.52 % (1850559)Time elapsed: 0.002 s
% 1.55/0.52 % (1850559)Peak memory usage: 12 MB
% 1.55/0.52 % (1850559)Instructions burned: 9 (million)
% 1.55/0.52 % (1850559)------------------------------
% 1.55/0.52 % (1850559)------------------------------
% 1.55/0.52 % (1850543)Instruction limit reached!
% 1.55/0.52 % (1850543)------------------------------
% 1.55/0.52 % (1850543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.52 % (1850543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.52 % (1850543)CaDiCaL version: 2.1.3
% 1.55/0.52 % (1850543)Termination reason: Instruction limit
% 1.55/0.52 % (1850543)Termination phase: Saturation
% 1.55/0.52 % (1850543)Time elapsed: 0.031 s
% 1.55/0.52 % (1850543)Peak memory usage: 12 MB
% 1.55/0.52 % (1850543)Instructions burned: 60 (million)
% 1.55/0.52 % (1850555)Instruction limit reached!
% 1.55/0.52 % (1850555)------------------------------
% 1.55/0.52 % (1850555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.55/0.52 % (1850555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.55/0.52 % (1850555)CaDiCaL version: 2.1.3
% 1.55/0.52 % (1850555)Termination reason: Instruction limit
% 1.55/0.52 % (1850555)Termination phase: Saturation
% 1.55/0.52 % (1850555)Time elapsed: 0.012 s
% 1.55/0.52 % (1850555)Peak memory usage: 12 MB
% 1.55/0.52 % (1850555)Instructions burned: 21 (million)
% 1.55/0.52 % (1850565)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.55/0.52 % (1850565)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1634239772:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.25/0.60 % (1850565)Instruction limit reached!
% 2.25/0.60 % (1850565)------------------------------
% 2.25/0.60 % (1850565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.60 % (1850565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.60 % (1850565)CaDiCaL version: 2.1.3
% 2.25/0.60 % (1850565)Termination reason: Instruction limit
% 2.25/0.60 % (1850565)Termination phase: Saturation
% 2.25/0.60 % (1850565)Time elapsed: 0.003 s
% 2.25/0.60 % (1850565)Peak memory usage: 11 MB
% 2.25/0.60 % (1850565)Instructions burned: 12 (million)
% 2.25/0.60 % (1850560)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3331782879:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.25/0.60 % (1850566)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1972288676:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.25/0.60 % (1850569)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.25/0.60 % (1850567)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=3464802959:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.25/0.60 % (1850569)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1196072425:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 2.25/0.60 % (1850569)Instruction limit reached!
% 2.25/0.60 % (1850569)------------------------------
% 2.25/0.60 % (1850569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.60 % (1850569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.60 % (1850569)CaDiCaL version: 2.1.3
% 2.25/0.60 % (1850569)Termination reason: Instruction limit
% 2.25/0.60 % (1850569)Termination phase: Function definition elimination
% 2.25/0.60 % (1850569)Time elapsed: 0.001 s
% 2.25/0.60 % (1850569)Peak memory usage: 10 MB
% 2.25/0.60 % (1850569)Instructions burned: 6 (million)
% 2.25/0.60 % (1850566)Refutation not found, incomplete strategy
% 2.25/0.60 % (1850566)------------------------------
% 2.25/0.60 % (1850566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.60 % (1850566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.60 % (1850566)CaDiCaL version: 2.1.3
% 2.25/0.60 % (1850566)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.60 % (1850566)Time elapsed: 0.004 s
% 2.25/0.60 % (1850566)Peak memory usage: 12 MB
% 2.25/0.60 % (1850566)Instructions burned: 7 (million)
% 2.25/0.60 % (1850566)------------------------------
% 2.25/0.60 % (1850566)------------------------------
% 2.25/0.60 % (1850567)Refutation not found, incomplete strategy
% 2.25/0.60 % (1850567)------------------------------
% 2.25/0.60 % (1850567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.60 % (1850567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.60 % (1850567)CaDiCaL version: 2.1.3
% 2.25/0.60 % (1850567)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.61 % (1850567)Time elapsed: 0.005 s
% 2.25/0.61 % (1850567)Peak memory usage: 12 MB
% 2.25/0.61 % (1850567)Instructions burned: 8 (million)
% 2.25/0.61 % (1850567)------------------------------
% 2.25/0.61 % (1850567)------------------------------
% 2.25/0.61 % (1850560)Instruction limit reached!
% 2.25/0.61 % (1850560)------------------------------
% 2.25/0.61 % (1850560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.61 % (1850560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.61 % (1850560)CaDiCaL version: 2.1.3
% 2.25/0.61 % (1850560)Termination reason: Instruction limit
% 2.25/0.61 % (1850560)Termination phase: Saturation
% 2.25/0.61 % (1850560)Time elapsed: 0.025 s
% 2.25/0.61 % (1850560)Peak memory usage: 12 MB
% 2.25/0.61 % (1850560)Instructions burned: 42 (million)
% 2.25/0.61 % (1850574)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1761654228:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.25/0.61 % (1850575)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4170329477:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.57/0.67 % (1850576)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=3555004743:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.57/0.67 % (1850575)Instruction limit reached!
% 2.57/0.67 % (1850575)------------------------------
% 2.57/0.67 % (1850575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (1850575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (1850575)CaDiCaL version: 2.1.3
% 2.57/0.67 % (1850575)Termination reason: Instruction limit
% 2.57/0.67 % (1850575)Termination phase: Saturation
% 2.57/0.67 % (1850575)Time elapsed: 0.005 s
% 2.57/0.67 % (1850575)Peak memory usage: 12 MB
% 2.57/0.67 % (1850575)Instructions burned: 20 (million)
% 2.57/0.67 % (1850581)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=3622822555: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)
% 2.57/0.67 % (1850577)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=945116122: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)
% 2.57/0.67 % (1850574)Instruction limit reached!
% 2.57/0.67 % (1850574)------------------------------
% 2.57/0.67 % (1850574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (1850574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (1850574)CaDiCaL version: 2.1.3
% 2.57/0.67 % (1850574)Termination reason: Instruction limit
% 2.57/0.67 % (1850574)Termination phase: Saturation
% 2.57/0.67 % (1850574)Time elapsed: 0.022 s
% 2.57/0.67 % (1850574)Peak memory usage: 12 MB
% 2.57/0.67 % (1850574)Instructions burned: 22 (million)
% 2.57/0.67 % (1850557)Instruction limit reached!
% 2.57/0.67 % (1850557)------------------------------
% 2.57/0.67 % (1850557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (1850557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (1850557)CaDiCaL version: 2.1.3
% 2.57/0.67 % (1850557)Termination reason: Instruction limit
% 2.57/0.67 % (1850557)Termination phase: Saturation
% 2.57/0.67 % (1850557)Time elapsed: 0.073 s
% 2.57/0.67 % (1850557)Peak memory usage: 13 MB
% 2.57/0.67 % (1850557)Instructions burned: 148 (million)
% 2.57/0.67 % (1850581)Instruction limit reached!
% 2.57/0.67 % (1850581)------------------------------
% 2.57/0.67 % (1850581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (1850581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (1850581)CaDiCaL version: 2.1.3
% 2.57/0.67 % (1850581)Termination reason: Instruction limit
% 2.57/0.67 % (1850581)Termination phase: Saturation
% 2.57/0.67 % (1850581)Time elapsed: 0.013 s
% 2.57/0.67 % (1850581)Peak memory usage: 12 MB
% 2.57/0.67 % (1850581)Instructions burned: 47 (million)
% 2.57/0.67 % (1850586)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.57/0.67 % (1850586)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3601862023:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.57/0.67 % (1850584)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3405983117:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.57/0.67 % (1850585)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3019123596:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.57/0.67 % (1850584)Refutation not found, incomplete strategy
% 2.57/0.67 % (1850584)------------------------------
% 2.57/0.67 % (1850584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.67 % (1850584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.67 % (1850584)CaDiCaL version: 2.1.3
% 2.57/0.67 % (1850584)Termination reason: Refutation not found, incomplete strategy
% 2.98/0.70 % (1850584)Time elapsed: 0.005 s
% 2.98/0.70 % (1850584)Peak memory usage: 12 MB
% 2.98/0.70 % (1850584)Instructions burned: 7 (million)
% 2.98/0.70 % (1850584)------------------------------
% 2.98/0.70 % (1850584)------------------------------
% 2.98/0.70 % (1850585)Instruction limit reached!
% 2.98/0.70 % (1850585)------------------------------
% 2.98/0.70 % (1850585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.70 % (1850585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.70 % (1850585)CaDiCaL version: 2.1.3
% 2.98/0.70 % (1850585)Termination reason: Instruction limit
% 2.98/0.70 % (1850585)Termination phase: Saturation
% 2.98/0.70 % (1850585)Time elapsed: 0.011 s
% 2.98/0.70 % (1850585)Peak memory usage: 12 MB
% 2.98/0.70 % (1850585)Instructions burned: 22 (million)
% 2.98/0.70 % (1850590)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3225159957:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.98/0.70 % (1850591)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=164745073:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.98/0.70 % (1850590)Instruction limit reached!
% 2.98/0.70 % (1850590)------------------------------
% 2.98/0.70 % (1850590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.70 % (1850590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.70 % (1850590)CaDiCaL version: 2.1.3
% 2.98/0.70 % (1850590)Termination reason: Instruction limit
% 2.98/0.70 % (1850590)Termination phase: Saturation
% 2.98/0.70 % (1850590)Time elapsed: 0.016 s
% 2.98/0.70 % (1850590)Peak memory usage: 12 MB
% 2.98/0.70 % (1850590)Instructions burned: 13 (million)
% 2.98/0.70 % (1850586)Instruction limit reached!
% 2.98/0.70 % (1850586)------------------------------
% 2.98/0.70 % (1850586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.70 % (1850586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.70 % (1850586)CaDiCaL version: 2.1.3
% 2.98/0.70 % (1850586)Termination reason: Instruction limit
% 2.98/0.70 % (1850586)Termination phase: Saturation
% 2.98/0.70 % (1850586)Time elapsed: 0.051 s
% 2.98/0.70 % (1850586)Peak memory usage: 12 MB
% 2.98/0.70 % (1850586)Instructions burned: 202 (million)
% 2.98/0.70 % (1850595)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=182550604:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.98/0.70 % (1850595)Instruction limit reached!
% 2.98/0.70 % (1850595)------------------------------
% 2.98/0.70 % (1850595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.70 % (1850595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.70 % (1850595)CaDiCaL version: 2.1.3
% 2.98/0.70 % (1850595)Termination reason: Instruction limit
% 2.98/0.70 % (1850595)Termination phase: Saturation
% 2.98/0.70 % (1850595)Time elapsed: 0.008 s
% 2.98/0.70 % (1850595)Peak memory usage: 12 MB
% 2.98/0.70 % (1850595)Instructions burned: 33 (million)
% 2.98/0.70 % (1850594)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=689540531:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.98/0.70 % (1850591)Instruction limit reached!
% 2.98/0.70 % (1850591)------------------------------
% 2.98/0.70 % (1850591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.70 % (1850591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.70 % (1850591)CaDiCaL version: 2.1.3
% 2.98/0.70 % (1850591)Termination reason: Instruction limit
% 2.98/0.70 % (1850591)Termination phase: Saturation
% 2.98/0.70 % (1850591)Time elapsed: 0.043 s
% 2.98/0.70 % (1850591)Peak memory usage: 13 MB
% 2.98/0.70 % (1850591)Instructions burned: 66 (million)
% 2.98/0.70 % (1850594)Refutation not found, incomplete strategy
% 2.98/0.70 % (1850594)------------------------------
% 2.98/0.70 % (1850594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.70 % (1850594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.70 % (1850594)CaDiCaL version: 2.1.3
% 2.98/0.70 % (1850594)Termination reason: Refutation not found, incomplete strategy
% 2.98/0.70 % (1850594)Time elapsed: 0.012 s
% 2.98/0.70 % (1850594)Peak memory usage: 12 MB
% 2.98/0.70 % (1850594)Instructions burned: 25 (million)
% 2.98/0.70 % (1850594)------------------------------
% 2.98/0.70 % (1850594)------------------------------
% 3.57/0.80 % (1850599)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=1963339234:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.57/0.80 % (1850597)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3076461156:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.57/0.80 % (1850599)Instruction limit reached!
% 3.57/0.80 % (1850599)------------------------------
% 3.57/0.80 % (1850599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.80 % (1850599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.80 % (1850599)CaDiCaL version: 2.1.3
% 3.57/0.80 % (1850599)Termination reason: Instruction limit
% 3.57/0.80 % (1850599)Termination phase: Saturation
% 3.57/0.80 % (1850599)Time elapsed: 0.008 s
% 3.57/0.80 % (1850599)Peak memory usage: 12 MB
% 3.57/0.80 % (1850599)Instructions burned: 34 (million)
% 3.57/0.80 % (1850499)Instruction limit reached!
% 3.57/0.80 % (1850499)------------------------------
% 3.57/0.80 % (1850499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.80 % (1850499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.80 % (1850499)CaDiCaL version: 2.1.3
% 3.57/0.80 % (1850499)Termination reason: Instruction limit
% 3.57/0.80 % (1850499)Termination phase: Saturation
% 3.57/0.80 % (1850499)Time elapsed: 0.336 s
% 3.57/0.80 % (1850499)Peak memory usage: 15 MB
% 3.57/0.80 % (1850499)Instructions burned: 636 (million)
% 3.57/0.80 % (1850603)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.57/0.80 % (1850602)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2299858832:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.57/0.80 % (1850603)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2890163486:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.57/0.80 % (1850602)Refutation not found, incomplete strategy
% 3.57/0.80 % (1850602)------------------------------
% 3.57/0.80 % (1850602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.80 % (1850602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.80 % (1850602)CaDiCaL version: 2.1.3
% 3.57/0.80 % (1850602)Termination reason: Refutation not found, incomplete strategy
% 3.57/0.80 % (1850602)Time elapsed: 0.011 s
% 3.57/0.80 % (1850602)Peak memory usage: 12 MB
% 3.57/0.80 % (1850602)Instructions burned: 23 (million)
% 3.57/0.80 % (1850602)------------------------------
% 3.57/0.80 % (1850602)------------------------------
% 3.57/0.80 % (1850604)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3422607484:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.57/0.80 % (1850604)Refutation not found, incomplete strategy
% 3.57/0.80 % (1850604)------------------------------
% 3.57/0.80 % (1850604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.80 % (1850604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.80 % (1850604)CaDiCaL version: 2.1.3
% 3.57/0.80 % (1850604)Termination reason: Refutation not found, incomplete strategy
% 3.57/0.80 % (1850604)Time elapsed: 0.005 s
% 3.57/0.80 % (1850604)Peak memory usage: 12 MB
% 3.57/0.80 % (1850604)Instructions burned: 10 (million)
% 3.57/0.80 % (1850604)------------------------------
% 3.57/0.80 % (1850604)------------------------------
% 3.57/0.80 % (1850576)Instruction limit reached!
% 3.57/0.80 % (1850576)------------------------------
% 3.57/0.80 % (1850576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.80 % (1850576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.80 % (1850576)CaDiCaL version: 2.1.3
% 3.57/0.80 % (1850576)Termination reason: Instruction limit
% 3.57/0.80 % (1850576)Termination phase: Saturation
% 3.57/0.80 % (1850576)Time elapsed: 0.176 s
% 3.57/0.80 % (1850576)Peak memory usage: 15 MB
% 3.57/0.80 % (1850576)Instructions burned: 317 (million)
% 3.57/0.80 % (1850607)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=336860186:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.57/0.80 % (1850609)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1536721358:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.57/0.89 % (1850603)Instruction limit reached!
% 3.57/0.89 % (1850603)------------------------------
% 3.57/0.89 % (1850603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.89 % (1850603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.89 % (1850609)Refutation not found, incomplete strategy
% 3.57/0.89 % (1850609)------------------------------
% 3.57/0.89 % (1850609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.89 % (1850603)CaDiCaL version: 2.1.3
% 3.57/0.89 % (1850603)Termination reason: Instruction limit
% 3.57/0.89 % (1850603)Termination phase: Saturation
% 3.57/0.89 % (1850603)Time elapsed: 0.044 s
% 3.57/0.89 % (1850609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.89 % (1850603)Peak memory usage: 13 MB
% 3.57/0.89 % (1850603)Instructions burned: 182 (million)
% 3.57/0.89 % (1850609)CaDiCaL version: 2.1.3
% 3.57/0.89 % (1850609)Termination reason: Refutation not found, incomplete strategy
% 3.57/0.89 % (1850609)Time elapsed: 0.003 s
% 3.57/0.89 % (1850609)Peak memory usage: 12 MB
% 3.57/0.89 % (1850609)Instructions burned: 5 (million)
% 3.57/0.89 % (1850609)------------------------------
% 3.57/0.89 % (1850609)------------------------------
% 3.57/0.89 % (1850610)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4019978091:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.57/0.89 % (1850613)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3652949749:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.57/0.89 % (1850610)Refutation not found, incomplete strategy
% 3.57/0.89 % (1850610)------------------------------
% 3.57/0.89 % (1850610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.89 % (1850610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.89 % (1850610)CaDiCaL version: 2.1.3
% 3.57/0.89 % (1850610)Termination reason: Refutation not found, incomplete strategy
% 3.57/0.89 % (1850610)Time elapsed: 0.006 s
% 3.57/0.89 % (1850610)Peak memory usage: 12 MB
% 3.57/0.89 % (1850610)Instructions burned: 11 (million)
% 3.57/0.89 % (1850610)------------------------------
% 3.57/0.89 % (1850610)------------------------------
% 3.57/0.89 % (1850597)Instruction limit reached!
% 3.57/0.89 % (1850597)------------------------------
% 3.57/0.89 % (1850597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.89 % (1850597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.89 % (1850597)CaDiCaL version: 2.1.3
% 3.57/0.89 % (1850597)Termination reason: Instruction limit
% 3.57/0.89 % (1850597)Termination phase: Saturation
% 3.57/0.89 % (1850597)Time elapsed: 0.075 s
% 3.57/0.89 % (1850597)Peak memory usage: 12 MB
% 3.57/0.89 % (1850597)Instructions burned: 138 (million)
% 3.57/0.89 % (1850614)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2678051733:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.57/0.89 % (1850614)Refutation not found, incomplete strategy
% 3.57/0.89 % (1850614)------------------------------
% 3.57/0.89 % (1850614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.89 % (1850614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.89 % (1850614)CaDiCaL version: 2.1.3
% 3.57/0.89 % (1850614)Termination reason: Refutation not found, incomplete strategy
% 3.57/0.89 % (1850614)Time elapsed: 0.008 s
% 3.57/0.89 % (1850614)Peak memory usage: 12 MB
% 3.57/0.89 % (1850614)Instructions burned: 14 (million)
% 3.57/0.89 % (1850614)------------------------------
% 3.57/0.89 % (1850614)------------------------------
% 3.57/0.89 % (1850617)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3109293725:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.57/0.89 % (1850618)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1238740032:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.57/0.89 % (1850607)Instruction limit reached!
% 3.57/0.89 % (1850607)------------------------------
% 3.57/0.89 % (1850607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.57/0.89 % (1850607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/0.89 % (1850607)CaDiCaL version: 2.1.3
% 3.57/0.89 % (1850607)Termination reason: Instruction limit
% 4.10/1.00 % (1850607)Termination phase: Saturation
% 4.10/1.00 % (1850607)Time elapsed: 0.047 s
% 4.10/1.00 % (1850607)Peak memory usage: 12 MB
% 4.10/1.00 % (1850607)Instructions burned: 97 (million)
% 4.10/1.00 % (1850618)Refutation not found, incomplete strategy
% 4.10/1.00 % (1850618)------------------------------
% 4.10/1.00 % (1850618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.00 % (1850618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.00 % (1850618)CaDiCaL version: 2.1.3
% 4.10/1.00 % (1850618)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.00 % (1850618)Time elapsed: 0.005 s
% 4.10/1.00 % (1850618)Peak memory usage: 12 MB
% 4.10/1.00 % (1850618)Instructions burned: 8 (million)
% 4.10/1.00 % (1850618)------------------------------
% 4.10/1.00 % (1850618)------------------------------
% 4.10/1.00 % (1850620)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3309372442:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 4.10/1.00 % (1850623)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3055107171:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 4.10/1.00 % (1850617)Instruction limit reached!
% 4.10/1.00 % (1850617)------------------------------
% 4.10/1.00 % (1850617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.00 % (1850617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.00 % (1850617)CaDiCaL version: 2.1.3
% 4.10/1.00 % (1850617)Termination reason: Instruction limit
% 4.10/1.00 % (1850617)Termination phase: Saturation
% 4.10/1.00 % (1850617)Time elapsed: 0.023 s
% 4.10/1.00 % (1850617)Peak memory usage: 12 MB
% 4.10/1.00 % (1850617)Instructions burned: 45 (million)
% 4.10/1.00 % (1850624)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=2552601506:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 4.10/1.00 % (1850627)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=671947591: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_2995 on theBenchmark for (2995ds/105Mi)
% 4.10/1.00 % (1850623)Instruction limit reached!
% 4.10/1.00 % (1850623)------------------------------
% 4.10/1.00 % (1850623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.00 % (1850623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.00 % (1850623)CaDiCaL version: 2.1.3
% 4.10/1.00 % (1850623)Termination reason: Instruction limit
% 4.10/1.00 % (1850623)Termination phase: Saturation
% 4.10/1.00 % (1850623)Time elapsed: 0.046 s
% 4.10/1.00 % (1850623)Peak memory usage: 13 MB
% 4.10/1.00 % (1850623)Instructions burned: 95 (million)
% 4.10/1.00 % (1850624)Instruction limit reached!
% 4.10/1.00 % (1850624)------------------------------
% 4.10/1.00 % (1850624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.00 % (1850624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.00 % (1850624)CaDiCaL version: 2.1.3
% 4.10/1.00 % (1850624)Termination reason: Instruction limit
% 4.10/1.00 % (1850624)Termination phase: Saturation
% 4.10/1.00 % (1850624)Time elapsed: 0.054 s
% 4.10/1.00 % (1850624)Peak memory usage: 12 MB
% 4.10/1.00 % (1850624)Instructions burned: 65 (million)
% 4.10/1.00 % (1850630)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=1086302345:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 4.10/1.00 % (1850627)Instruction limit reached!
% 4.10/1.00 % (1850627)------------------------------
% 4.10/1.00 % (1850627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/1.00 % (1850627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.00 % (1850627)CaDiCaL version: 2.1.3
% 4.10/1.00 % (1850627)Termination reason: Instruction limit
% 4.10/1.00 % (1850627)Termination phase: Saturation
% 4.10/1.00 % (1850627)Time elapsed: 0.052 s
% 4.10/1.00 % (1850627)Peak memory usage: 13 MB
% 4.10/1.00 % (1850627)Instructions burned: 107 (million)
% 4.10/1.00 % (1850631)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1535423776:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 5.43/1.10 % (1850613)Instruction limit reached!
% 5.43/1.10 % (1850613)------------------------------
% 5.43/1.10 % (1850613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (1850613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (1850613)CaDiCaL version: 2.1.3
% 5.43/1.10 % (1850613)Termination reason: Instruction limit
% 5.43/1.10 % (1850613)Termination phase: Saturation
% 5.43/1.10 % (1850613)Time elapsed: 0.125 s
% 5.43/1.10 % (1850613)Peak memory usage: 14 MB
% 5.43/1.10 % (1850613)Instructions burned: 516 (million)
% 5.43/1.10 % (1850631)Refutation not found, incomplete strategy
% 5.43/1.10 % (1850631)------------------------------
% 5.43/1.10 % (1850631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (1850631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (1850631)CaDiCaL version: 2.1.3
% 5.43/1.10 % (1850631)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.10 % (1850631)Time elapsed: 0.005 s
% 5.43/1.10 % (1850631)Peak memory usage: 12 MB
% 5.43/1.10 % (1850631)Instructions burned: 9 (million)
% 5.43/1.10 % (1850631)------------------------------
% 5.43/1.10 % (1850631)------------------------------
% 5.43/1.10 % (1850633)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1991181916:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 5.43/1.10 % (1850635)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=1600620017:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.43/1.10 % (1850635)Instruction limit reached!
% 5.43/1.10 % (1850635)------------------------------
% 5.43/1.10 % (1850635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (1850635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (1850635)CaDiCaL version: 2.1.3
% 5.43/1.10 % (1850635)Termination reason: Instruction limit
% 5.43/1.10 % (1850635)Termination phase: Saturation
% 5.43/1.10 % (1850635)Time elapsed: 0.009 s
% 5.43/1.10 % (1850635)Peak memory usage: 12 MB
% 5.43/1.10 % (1850635)Instructions burned: 36 (million)
% 5.43/1.10 % (1850636)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1992885012:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 5.43/1.10 % (1850639)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4193126190:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.43/1.10 % (1850639)Refutation not found, incomplete strategy
% 5.43/1.10 % (1850639)------------------------------
% 5.43/1.10 % (1850639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (1850639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (1850639)CaDiCaL version: 2.1.3
% 5.43/1.10 % (1850639)Termination reason: Refutation not found, incomplete strategy
% 5.43/1.10 % (1850639)Time elapsed: 0.004 s
% 5.43/1.10 % (1850639)Peak memory usage: 12 MB
% 5.43/1.10 % (1850639)Instructions burned: 7 (million)
% 5.43/1.10 % (1850639)------------------------------
% 5.43/1.10 % (1850639)------------------------------
% 5.43/1.10 % (1850642)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2582860810:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.43/1.10 % (1850642)Instruction limit reached!
% 5.43/1.10 % (1850642)------------------------------
% 5.43/1.10 % (1850642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.43/1.10 % (1850642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.10 % (1850642)CaDiCaL version: 2.1.3
% 5.43/1.10 % (1850642)Termination reason: Instruction limit
% 5.43/1.10 % (1850642)Termination phase: Saturation
% 5.43/1.10 % (1850642)Time elapsed: 0.007 s
% 5.43/1.10 % (1850642)Peak memory usage: 12 MB
% 5.43/1.10 % (1850642)Instructions burned: 26 (million)
% 5.43/1.10 % (1850644)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=850742112:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.43/1.10 % (1850636)Instruction limit reached!
% 5.96/1.17 % (1850636)------------------------------
% 5.96/1.17 % (1850636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.17 % (1850636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.17 % (1850636)CaDiCaL version: 2.1.3
% 5.96/1.17 % (1850636)Termination reason: Instruction limit
% 5.96/1.17 % (1850636)Termination phase: Saturation
% 5.96/1.17 % (1850636)Time elapsed: 0.062 s
% 5.96/1.17 % (1850636)Peak memory usage: 13 MB
% 5.96/1.17 % (1850636)Instructions burned: 91 (million)
% 5.96/1.17 % (1850646)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1485475735:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.96/1.17 % (1850646)Instruction limit reached!
% 5.96/1.17 % (1850646)------------------------------
% 5.96/1.17 % (1850646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.17 % (1850646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.17 % (1850646)CaDiCaL version: 2.1.3
% 5.96/1.17 % (1850646)Termination reason: Instruction limit
% 5.96/1.17 % (1850646)Termination phase: Saturation
% 5.96/1.17 % (1850646)Time elapsed: 0.015 s
% 5.96/1.17 % (1850646)Peak memory usage: 12 MB
% 5.96/1.17 % (1850646)Instructions burned: 30 (million)
% 5.96/1.17 % (1850648)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.96/1.17 % (1850648)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2752869447:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.96/1.17 % (1850620)Instruction limit reached!
% 5.96/1.17 % (1850620)------------------------------
% 5.96/1.17 % (1850620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.17 % (1850620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.17 % (1850620)CaDiCaL version: 2.1.3
% 5.96/1.17 % (1850620)Termination reason: Instruction limit
% 5.96/1.17 % (1850620)Termination phase: Saturation
% 5.96/1.17 % (1850620)Time elapsed: 0.243 s
% 5.96/1.17 % (1850620)Peak memory usage: 14 MB
% 5.96/1.17 % (1850620)Instructions burned: 451 (million)
% 5.96/1.17 % (1850577)Instruction limit reached!
% 5.96/1.17 % (1850577)------------------------------
% 5.96/1.17 % (1850577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.17 % (1850577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.17 % (1850577)CaDiCaL version: 2.1.3
% 5.96/1.17 % (1850577)Termination reason: Instruction limit
% 5.96/1.17 % (1850577)Termination phase: Saturation
% 5.96/1.17 % (1850577)Time elapsed: 0.469 s
% 5.96/1.17 % (1850577)Peak memory usage: 16 MB
% 5.96/1.17 % (1850577)Instructions burned: 853 (million)
% 5.96/1.17 % (1850650)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=3934513210:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/340Mi)
% 5.96/1.17 % (1850651)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1286103614:i=227:sd=1:bd=all:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/227Mi)
% 5.96/1.17 % (1850651)Refutation not found, incomplete strategy
% 5.96/1.17 % (1850651)------------------------------
% 5.96/1.17 % (1850651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.17 % (1850651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.17 % (1850651)CaDiCaL version: 2.1.3
% 5.96/1.17 % (1850651)Termination reason: Refutation not found, incomplete strategy
% 5.96/1.17 % (1850651)Time elapsed: 0.003 s
% 5.96/1.17 % (1850651)Peak memory usage: 12 MB
% 5.96/1.17 % (1850651)Instructions burned: 5 (million)
% 5.96/1.17 % (1850644)Instruction limit reached!
% 5.96/1.17 % (1850644)------------------------------
% 5.96/1.17 % (1850644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.96/1.17 % (1850644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.96/1.17 % (1850644)CaDiCaL version: 2.1.3
% 5.96/1.17 % (1850644)Termination reason: Instruction limit
% 5.96/1.17 % (1850644)Termination phase: Saturation
% 5.96/1.17 % (1850644)Time elapsed: 0.100 s
% 5.96/1.17 % (1850644)Peak memory usage: 16 MB
% 5.96/1.17 % (1850644)Instructions burned: 339 (million)
% 5.96/1.17 % (1850651)------------------------------
% 5.96/1.17 % (1850651)------------------------------
% 5.96/1.17 % (1850654)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.22/1.27 % (1850654)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2077091216:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 6.22/1.27 % (1850655)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4035230898:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 6.22/1.27 % (1850648)Instruction limit reached!
% 6.22/1.27 % (1850648)------------------------------
% 6.22/1.27 % (1850648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.27 % (1850648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.27 % (1850648)CaDiCaL version: 2.1.3
% 6.22/1.27 % (1850648)Termination reason: Instruction limit
% 6.22/1.27 % (1850648)Termination phase: Saturation
% 6.22/1.27 % (1850648)Time elapsed: 0.091 s
% 6.22/1.27 % (1850648)Peak memory usage: 13 MB
% 6.22/1.27 % (1850648)Instructions burned: 137 (million)
% 6.22/1.27 % (1850556)Instruction limit reached!
% 6.22/1.27 % (1850556)------------------------------
% 6.22/1.27 % (1850556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.27 % (1850556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.27 % (1850556)CaDiCaL version: 2.1.3
% 6.22/1.27 % (1850556)Termination reason: Instruction limit
% 6.22/1.27 % (1850556)Termination phase: Saturation
% 6.22/1.27 % (1850556)Time elapsed: 0.615 s
% 6.22/1.27 % (1850556)Peak memory usage: 16 MB
% 6.22/1.27 % (1850556)Instructions burned: 1241 (million)
% 6.22/1.27 % (1850655)Instruction limit reached!
% 6.22/1.27 % (1850655)------------------------------
% 6.22/1.27 % (1850655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.27 % (1850655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.27 % (1850655)CaDiCaL version: 2.1.3
% 6.22/1.27 % (1850655)Termination reason: Instruction limit
% 6.22/1.27 % (1850655)Termination phase: Saturation
% 6.22/1.27 % (1850655)Time elapsed: 0.056 s
% 6.22/1.27 % (1850655)Peak memory usage: 12 MB
% 6.22/1.27 % (1850655)Instructions burned: 122 (million)
% 6.22/1.27 % (1850658)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2620720716:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 6.22/1.27 % (1850659)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3277574015:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 6.22/1.27 % (1850633)Instruction limit reached!
% 6.22/1.27 % (1850633)------------------------------
% 6.22/1.27 % (1850633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.27 % (1850633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.27 % (1850633)CaDiCaL version: 2.1.3
% 6.22/1.27 % (1850633)Termination reason: Instruction limit
% 6.22/1.27 % (1850633)Termination phase: Saturation
% 6.22/1.27 % (1850633)Time elapsed: 0.261 s
% 6.22/1.27 % (1850633)Peak memory usage: 14 MB
% 6.22/1.27 % (1850633)Instructions burned: 496 (million)
% 6.22/1.27 % (1850662)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=2810642668: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)
% 6.22/1.27 % (1850654)Instruction limit reached!
% 6.22/1.27 % (1850654)------------------------------
% 6.22/1.27 % (1850654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.27 % (1850654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.27 % (1850654)CaDiCaL version: 2.1.3
% 6.22/1.27 % (1850654)Termination reason: Instruction limit
% 6.22/1.27 % (1850654)Termination phase: Saturation
% 6.22/1.27 % (1850654)Time elapsed: 0.094 s
% 6.22/1.27 % (1850654)Peak memory usage: 14 MB
% 6.22/1.27 % (1850654)Instructions burned: 375 (million)
% 6.22/1.27 % (1850663)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1302484873:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 6.22/1.27 % (1850665)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
% 7.11/1.44 % (1850663)Refutation not found, incomplete strategy
% 7.11/1.44 % (1850663)------------------------------
% 7.11/1.44 % (1850663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.44 % (1850663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.44 % (1850663)CaDiCaL version: 2.1.3
% 7.11/1.44 % (1850663)Termination reason: Refutation not found, incomplete strategy
% 7.11/1.44 % (1850663)Time elapsed: 0.004 s
% 7.11/1.44 % (1850663)Peak memory usage: 12 MB
% 7.11/1.44 % (1850663)Instructions burned: 8 (million)
% 7.11/1.44 % (1850663)------------------------------
% 7.11/1.44 % (1850663)------------------------------
% 7.11/1.44 % (1850665)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=618953871:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 7.11/1.44 % (1850665)Refutation not found, incomplete strategy
% 7.11/1.44 % (1850665)------------------------------
% 7.11/1.44 % (1850665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.44 % (1850665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.44 % (1850665)CaDiCaL version: 2.1.3
% 7.11/1.44 % (1850665)Termination reason: Refutation not found, incomplete strategy
% 7.11/1.44 % (1850665)Time elapsed: 0.004 s
% 7.11/1.44 % (1850665)Peak memory usage: 12 MB
% 7.11/1.44 % (1850665)Instructions burned: 18 (million)
% 7.11/1.44 % (1850665)------------------------------
% 7.11/1.44 % (1850665)------------------------------
% 7.11/1.44 % (1850670)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.11/1.44 % (1850670)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
% 7.11/1.44 % (1850670)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=2734418942:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 7.11/1.44 % (1850669)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2797489684:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 7.11/1.44 % (1850669)Instruction limit reached!
% 7.11/1.44 % (1850669)------------------------------
% 7.11/1.44 % (1850669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.44 % (1850669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.44 % (1850669)CaDiCaL version: 2.1.3
% 7.11/1.44 % (1850669)Termination reason: Instruction limit
% 7.11/1.44 % (1850669)Termination phase: Saturation
% 7.11/1.44 % (1850669)Time elapsed: 0.016 s
% 7.11/1.44 % (1850669)Peak memory usage: 12 MB
% 7.11/1.44 % (1850669)Instructions burned: 33 (million)
% 7.11/1.44 % (1850650)Instruction limit reached!
% 7.11/1.44 % (1850650)------------------------------
% 7.11/1.44 % (1850650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.44 % (1850650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.44 % (1850650)CaDiCaL version: 2.1.3
% 7.11/1.44 % (1850650)Termination reason: Instruction limit
% 7.11/1.44 % (1850650)Termination phase: Saturation
% 7.11/1.44 % (1850650)Time elapsed: 0.168 s
% 7.11/1.44 % (1850650)Peak memory usage: 13 MB
% 7.11/1.44 % (1850650)Instructions burned: 341 (million)
% 7.11/1.44 % (1850673)dis+10_2_sil=128000:si=on:random_seed=1279554540:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 7.11/1.44 % (1850674)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2011668612:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 7.11/1.44 % (1850673)Refutation not found, incomplete strategy
% 7.11/1.44 % (1850673)------------------------------
% 7.11/1.44 % (1850673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.11/1.44 % (1850673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.11/1.44 % (1850673)CaDiCaL version: 2.1.3
% 7.11/1.44 % (1850673)Termination reason: Refutation not found, incomplete strategy
% 7.11/1.44 % (1850673)Time elapsed: 0.016 s
% 7.11/1.44 % (1850673)Peak memory usage: 12 MB
% 7.77/1.56 % (1850673)Instructions burned: 34 (million)
% 7.77/1.56 % (1850673)------------------------------
% 7.77/1.56 % (1850673)------------------------------
% 7.77/1.56 % (1850659)Instruction limit reached!
% 7.77/1.56 % (1850659)------------------------------
% 7.77/1.56 % (1850659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.56 % (1850659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.56 % (1850659)CaDiCaL version: 2.1.3
% 7.77/1.56 % (1850659)Termination reason: Instruction limit
% 7.77/1.56 % (1850659)Termination phase: Saturation
% 7.77/1.56 % (1850659)Time elapsed: 0.126 s
% 7.77/1.56 % (1850659)Peak memory usage: 13 MB
% 7.77/1.56 % (1850659)Instructions burned: 272 (million)
% 7.77/1.56 % (1850677)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=1911426105:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 7.77/1.56 % (1850677)Refutation not found, incomplete strategy
% 7.77/1.56 % (1850677)------------------------------
% 7.77/1.56 % (1850677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.56 % (1850677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.56 % (1850677)CaDiCaL version: 2.1.3
% 7.77/1.56 % (1850677)Termination reason: Refutation not found, incomplete strategy
% 7.77/1.56 % (1850677)Time elapsed: 0.005 s
% 7.77/1.56 % (1850677)Peak memory usage: 12 MB
% 7.77/1.56 % (1850677)Instructions burned: 8 (million)
% 7.77/1.56 % (1850677)------------------------------
% 7.77/1.56 % (1850677)------------------------------
% 7.77/1.56 % (1850678)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=2059023935:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 7.77/1.56 % (1850680)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4074930406:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 7.77/1.56 % (1850678)Refutation not found, incomplete strategy
% 7.77/1.56 % (1850678)------------------------------
% 7.77/1.56 % (1850678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.56 % (1850678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.56 % (1850678)CaDiCaL version: 2.1.3
% 7.77/1.56 % (1850678)Termination reason: Refutation not found, incomplete strategy
% 7.77/1.56 % (1850678)Time elapsed: 0.012 s
% 7.77/1.56 % (1850678)Peak memory usage: 12 MB
% 7.77/1.56 % (1850678)Instructions burned: 25 (million)
% 7.77/1.56 % (1850674)Instruction limit reached!
% 7.77/1.56 % (1850674)------------------------------
% 7.77/1.56 % (1850674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.56 % (1850674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.56 % (1850674)CaDiCaL version: 2.1.3
% 7.77/1.56 % (1850674)Termination reason: Instruction limit
% 7.77/1.56 % (1850674)Termination phase: Saturation
% 7.77/1.56 % (1850674)Time elapsed: 0.054 s
% 7.77/1.56 % (1850674)Peak memory usage: 12 MB
% 7.77/1.56 % (1850678)------------------------------
% 7.77/1.56 % (1850678)------------------------------
% 7.77/1.56 % (1850674)Instructions burned: 112 (million)
% 7.77/1.56 % (1850684)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 7.77/1.56 % (1850683)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=479976987:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/1254Mi)
% 7.77/1.56 % (1850684)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=239064266:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 7.77/1.56 % (1850680)Refutation not found, incomplete strategy
% 7.77/1.56 % (1850680)------------------------------
% 7.77/1.56 % (1850680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.56 % (1850680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.56 % (1850680)CaDiCaL version: 2.1.3
% 7.77/1.56 % (1850680)Termination reason: Refutation not found, incomplete strategy
% 7.77/1.56 % (1850680)Time elapsed: 0.055 s
% 8.52/1.82 % (1850680)Peak memory usage: 12 MB
% 8.52/1.82 % (1850680)Instructions burned: 99 (million)
% 8.52/1.82 % (1850680)------------------------------
% 8.52/1.82 % (1850680)------------------------------
% 8.52/1.82 % (1850687)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1222858397:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 8.52/1.82 % (1850687)Refutation not found, incomplete strategy
% 8.52/1.82 % (1850687)------------------------------
% 8.52/1.82 % (1850687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.82 % (1850687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.82 % (1850687)CaDiCaL version: 2.1.3
% 8.52/1.82 % (1850687)Termination reason: Refutation not found, incomplete strategy
% 8.52/1.82 % (1850687)Time elapsed: 0.020 s
% 8.52/1.82 % (1850687)Peak memory usage: 13 MB
% 8.52/1.82 % (1850687)Instructions burned: 40 (million)
% 8.52/1.82 % (1850687)------------------------------
% 8.52/1.82 % (1850687)------------------------------
% 8.52/1.82 % (1850658)Instruction limit reached!
% 8.52/1.82 % (1850658)------------------------------
% 8.52/1.82 % (1850658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.82 % (1850658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.82 % (1850658)CaDiCaL version: 2.1.3
% 8.52/1.82 % (1850658)Termination reason: Instruction limit
% 8.52/1.82 % (1850658)Termination phase: Saturation
% 8.52/1.82 % (1850658)Time elapsed: 0.254 s
% 8.52/1.82 % (1850658)Peak memory usage: 12 MB
% 8.52/1.82 % (1850658)Instructions burned: 575 (million)
% 8.52/1.82 % (1850689)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=4263179889:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 8.52/1.82 % (1850690)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2942524808:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 8.52/1.82 % (1850684)Instruction limit reached!
% 8.52/1.82 % (1850684)------------------------------
% 8.52/1.82 % (1850684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.82 % (1850684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.82 % (1850684)CaDiCaL version: 2.1.3
% 8.52/1.82 % (1850684)Termination reason: Instruction limit
% 8.52/1.82 % (1850684)Termination phase: Saturation
% 8.52/1.82 % (1850684)Time elapsed: 0.138 s
% 8.52/1.82 % (1850684)Peak memory usage: 13 MB
% 8.52/1.82 % (1850684)Instructions burned: 282 (million)
% 8.52/1.82 % (1850693)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=873398657:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/130Mi)
% 8.52/1.82 % (1850693)Refutation not found, incomplete strategy
% 8.52/1.82 % (1850693)------------------------------
% 8.52/1.82 % (1850693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.82 % (1850693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.82 % (1850693)CaDiCaL version: 2.1.3
% 8.52/1.82 % (1850693)Termination reason: Refutation not found, incomplete strategy
% 8.52/1.82 % (1850693)Time elapsed: 0.005 s
% 8.52/1.82 % (1850693)Peak memory usage: 12 MB
% 8.52/1.82 % (1850693)Instructions burned: 8 (million)
% 8.52/1.82 % (1850693)------------------------------
% 8.52/1.82 % (1850693)------------------------------
% 8.52/1.82 % (1850695)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2658009717:st=1.5:i=346:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/346Mi)
% 8.52/1.82 % (1850695)Refutation not found, incomplete strategy
% 8.52/1.82 % (1850695)------------------------------
% 8.52/1.82 % (1850695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.82 % (1850695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.82 % (1850695)CaDiCaL version: 2.1.3
% 8.52/1.82 % (1850695)Termination reason: Refutation not found, incomplete strategy
% 8.52/1.82 % (1850695)Time elapsed: 0.008 s
% 8.52/1.82 % (1850695)Peak memory usage: 12 MB
% 8.52/1.82 % (1850695)Instructions burned: 15 (million)
% 8.52/1.82 % (1850695)------------------------------
% 8.52/1.82 % (1850695)------------------------------
% 8.52/1.82 % (1850690)Instruction limit reached!
% 8.52/1.82 % (1850690)------------------------------
% 8.52/1.82 % (1850690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.82 % (1850690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850690)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850690)Termination reason: Instruction limit
% 8.52/1.86 % (1850690)Termination phase: Saturation
% 8.52/1.86 % (1850690)Time elapsed: 0.105 s
% 8.52/1.86 % (1850690)Peak memory usage: 13 MB
% 8.52/1.86 % (1850690)Instructions burned: 214 (million)
% 8.52/1.86 % (1850697)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1580374146:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/152Mi)
% 8.52/1.86 % (1850698)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3621374794:i=75:ep=R:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/75Mi)
% 8.52/1.86 % (1850670)Instruction limit reached!
% 8.52/1.86 % (1850670)------------------------------
% 8.52/1.86 % (1850670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850670)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850670)Termination reason: Instruction limit
% 8.52/1.86 % (1850670)Termination phase: Saturation
% 8.52/1.86 % (1850670)Time elapsed: 0.364 s
% 8.52/1.86 % (1850670)Peak memory usage: 17 MB
% 8.52/1.86 % (1850670)Instructions burned: 1444 (million)
% 8.52/1.86 % (1850701)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=966037558:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 8.52/1.86 % (1850698)Instruction limit reached!
% 8.52/1.86 % (1850698)------------------------------
% 8.52/1.86 % (1850698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850698)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850698)Termination reason: Instruction limit
% 8.52/1.86 % (1850698)Termination phase: Saturation
% 8.52/1.86 % (1850698)Time elapsed: 0.038 s
% 8.52/1.86 % (1850698)Peak memory usage: 12 MB
% 8.52/1.86 % (1850698)Instructions burned: 76 (million)
% 8.52/1.86 % (1850701)Refutation not found, incomplete strategy
% 8.52/1.86 % (1850701)------------------------------
% 8.52/1.86 % (1850701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850701)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850701)Termination reason: Refutation not found, incomplete strategy
% 8.52/1.86 % (1850701)Time elapsed: 0.005 s
% 8.52/1.86 % (1850701)Peak memory usage: 12 MB
% 8.52/1.86 % (1850701)Instructions burned: 18 (million)
% 8.52/1.86 % (1850701)------------------------------
% 8.52/1.86 % (1850701)------------------------------
% 8.52/1.86 % (1850704)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3182995185:i=161:piset=and:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/161Mi)
% 8.52/1.86 % (1850703)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=2522704957:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 8.52/1.86 % (1850697)Instruction limit reached!
% 8.52/1.86 % (1850697)------------------------------
% 8.52/1.86 % (1850697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850697)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850697)Termination reason: Instruction limit
% 8.52/1.86 % (1850697)Termination phase: Saturation
% 8.52/1.86 % (1850697)Time elapsed: 0.074 s
% 8.52/1.86 % (1850697)Peak memory usage: 13 MB
% 8.52/1.86 % (1850697)Instructions burned: 153 (million)
% 8.52/1.86 % (1850707)lrs+10_1_sil=128000:si=on:random_seed=645464528:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/888Mi)
% 8.52/1.86 % (1850704)Instruction limit reached!
% 8.52/1.86 % (1850704)------------------------------
% 8.52/1.86 % (1850704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850704)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850704)Termination reason: Instruction limit
% 8.52/1.86 % (1850704)Termination phase: Saturation
% 8.52/1.86 % (1850704)Time elapsed: 0.043 s
% 8.52/1.86 % (1850704)Peak memory usage: 12 MB
% 8.52/1.86 % (1850704)Instructions burned: 164 (million)
% 8.52/1.86 % (1850709)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=4175580428:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 8.52/1.86 % (1850709)Refutation not found, incomplete strategy
% 8.52/1.86 % (1850709)------------------------------
% 8.52/1.86 % (1850709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850709)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850709)Termination reason: Refutation not found, incomplete strategy
% 8.52/1.86 % (1850709)Time elapsed: 0.006 s
% 8.52/1.86 % (1850709)Peak memory usage: 12 MB
% 8.52/1.86 % (1850709)Instructions burned: 24 (million)
% 8.52/1.86 % (1850709)------------------------------
% 8.52/1.86 % (1850709)------------------------------
% 8.52/1.86 % (1850711)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=2349988336:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 8.52/1.86 % (1850703)Instruction limit reached!
% 8.52/1.86 % (1850703)------------------------------
% 8.52/1.86 % (1850703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850703)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850703)Termination reason: Instruction limit
% 8.52/1.86 % (1850703)Termination phase: Saturation
% 8.52/1.86 % (1850703)Time elapsed: 0.076 s
% 8.52/1.86 % (1850703)Peak memory usage: 13 MB
% 8.52/1.86 % (1850703)Instructions burned: 149 (million)
% 8.52/1.86 % (1850711)Instruction limit reached!
% 8.52/1.86 % (1850711)------------------------------
% 8.52/1.86 % (1850711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850711)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850711)Termination reason: Instruction limit
% 8.52/1.86 % (1850711)Termination phase: Saturation
% 8.52/1.86 % (1850711)Time elapsed: 0.024 s
% 8.52/1.86 % (1850711)Peak memory usage: 13 MB
% 8.52/1.86 % (1850711)Instructions burned: 91 (million)
% 8.52/1.86 % (1850713)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=583797906:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2986 on theBenchmark for (2986ds/93Mi)
% 8.52/1.86 % (1850714)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=192080100:i=2186:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/2186Mi)
% 8.52/1.86 % (1850713)Instruction limit reached!
% 8.52/1.86 % (1850713)------------------------------
% 8.52/1.86 % (1850713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850713)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850713)Termination reason: Instruction limit
% 8.52/1.86 % (1850713)Termination phase: Saturation
% 8.52/1.86 % (1850713)Time elapsed: 0.046 s
% 8.52/1.86 % (1850713)Peak memory usage: 12 MB
% 8.52/1.86 % (1850713)Instructions burned: 93 (million)
% 8.52/1.86 % (1850717)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2977172872:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 8.52/1.86 % (1850717)Instruction limit reached!
% 8.52/1.86 % (1850717)------------------------------
% 8.52/1.86 % (1850717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850717)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850717)Termination reason: Instruction limit
% 8.52/1.86 % (1850717)Termination phase: Saturation
% 8.52/1.86 % (1850717)Time elapsed: 0.136 s
% 8.52/1.86 % (1850717)Peak memory usage: 12 MB
% 8.52/1.86 % (1850717)Instructions burned: 241 (million)
% 8.52/1.86 % (1850689)Instruction limit reached!
% 8.52/1.86 % (1850689)------------------------------
% 8.52/1.86 % (1850689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850689)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850689)Termination reason: Instruction limit
% 8.52/1.86 % (1850689)Termination phase: Saturation
% 8.52/1.86 % (1850689)Time elapsed: 0.490 s
% 8.52/1.86 % (1850689)Peak memory usage: 19 MB
% 8.52/1.86 % (1850689)Instructions burned: 867 (million)
% 8.52/1.86 % (1850683)Instruction limit reached!
% 8.52/1.86 % (1850683)------------------------------
% 8.52/1.86 % (1850683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850683)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850683)Termination reason: Instruction limit
% 8.52/1.86 % (1850683)Termination phase: Saturation
% 8.52/1.86 % (1850683)Time elapsed: 0.591 s
% 8.52/1.86 % (1850683)Peak memory usage: 15 MB
% 8.52/1.86 % (1850683)Instructions burned: 1255 (million)
% 8.52/1.86 % (1850719)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2660443204:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 8.52/1.86 % (1850720)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.52/1.86 % (1850720)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=2087593175:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 8.52/1.86 % (1850714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1850491-1850714"...
% 8.52/1.86 % (1850720)Refutation not found, incomplete strategy
% 8.52/1.86 % (1850720)------------------------------
% 8.52/1.86 % (1850720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.86 % (1850720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.86 % (1850720)CaDiCaL version: 2.1.3
% 8.52/1.86 % (1850720)Termination reason: Refutation not found, incomplete strategy
% 8.52/1.86 % (1850720)Time elapsed: 0.007 s
% 8.52/1.86 % (1850720)Peak memory usage: 12 MB
% 8.52/1.86 % (1850720)Instructions burned: 12 (million)
% 8.52/1.86 % (1850720)------------------------------
% 8.52/1.86 % (1850720)------------------------------
% 8.52/1.86 % (1850721)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3646497104:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 8.52/1.86 % (1850714)...printing done.
% 8.52/1.86 % (1850714)Refutation found. Thanks to Tanya!
% 8.52/1.86 % SZS status Theorem for theBenchmark
% 8.52/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 8.52/1.87 % (1850714)------------------------------
% 8.52/1.87 % (1850714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.52/1.87 % (1850714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.52/1.87 % (1850714)CaDiCaL version: 2.1.3
% 8.52/1.87 % (1850714)Termination reason: Refutation
% 8.52/1.87 % (1850714)Time elapsed: 0.239 s
% 8.52/1.87 % (1850714)Peak memory usage: 15 MB
% 8.52/1.87 % (1850714)Instructions burned: 932 (million)
% 8.52/1.87 % (1850491)Success in time 1.615 s
% 8.52/1.87 % Vampire exiting
%------------------------------------------------------------------------------