%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV444^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:40:00 AM UTC 2026
% Result : Theorem 1.53s 0.52s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 21
% Syntax : Number of formulae : 183 ( 121 unt; 0 typ; 3 def)
% Number of atoms : 1851 ( 342 equ; 0 cnn)
% Maximal formula atoms : 17 ( 10 avg)
% Number of connectives : 2999 ( 108 ~; 285 |; 0 &;2066 @)
% ( 3 <=>; 266 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 265 ( 265 >; 0 *; 0 +; 0 <<)
% Number of symbols : 75 ( 71 usr; 13 con; 0-4 aty)
% ( 271 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 750 ( 0 sgn 183 !; 0 ?; 750 :)
% 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,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_45,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_46,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
vNOT: $o > $o ).
thf(func_def_51,type,
vOR: $o > $o > $o ).
thf(func_def_52,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
vAND: $o > $o > $o ).
thf(func_def_54,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
vIMP: $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,
sK0: individuals ).
thf(func_def_62,type,
sK1: $i > $o ).
thf(func_def_66,type,
sK5: ( $i > $o ) > $i > $i ).
thf(func_def_67,type,
sK6: $i > $i ).
thf(func_def_68,type,
sK7: ( $i > $o ) > $i > $i ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f10,axiom,
( mall
= ( ^ [X0: individuals > $i > $o,X1: $i] :
! [X2: individuals] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mall) ).
thf(f12,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( cs4_atom
= ( ^ [X0: $i > $o] : ( mbox @ reli @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax',cs4_atom) ).
thf(f19,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ reli @ ( mimpl @ X0 @ X1 ) ) )
= cs4_impl ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax',cs4_impl) ).
thf(f22,axiom,
( ( ^ [X0: individuals > $i > $o] : ( mbox @ reli @ ( mall @ X0 ) ) )
= cs4_all ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax',cs4_all) ).
thf(f23,axiom,
( ( ^ [X0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ X0 ) ) )
= cs4_box ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax',cs4_box) ).
thf(f24,axiom,
( cs4_valid
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL009^0.ax',cs4_valid_def) ).
thf(f30,axiom,
( ( ^ [X0: $i > $o] : ( cs4_atom @ X0 ) )
= bl_atom ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV010^0.ax',bl_atom) ).
thf(f31,axiom,
( bl_princ
= ( ^ [X0: $i > $o] : ( cs4_atom @ X0 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SWV010^0.ax',bl_says) ).
thf(f39,axiom,
bl_valid = mvalid,
file('/export/starexec/sandbox2/benchmark/Axioms/SWV010^0.ax',bl_valid_def) ).
thf(f40,axiom,
( cs4_valid
@ ( cs4_all
@ ^ [X0: individuals] : ( cs4_impl @ ( princ_inj @ X0 ) @ ( princ_inj @ loca ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV010^0.ax',loca_strength) ).
thf(f41,conjecture,
! [X1: $i > $o,X0: individuals] : ( bl_valid @ ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ X1 ) ) @ ( bl_says @ X0 @ ( bl_atom @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bl_strength) ).
thf(f42,negated_conjecture,
~ ! [X1: $i > $o,X0: individuals] : ( bl_valid @ ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ X1 ) ) @ ( bl_says @ X0 @ ( bl_atom @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
thf(f43,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f44,plain,
( mall
= ( ^ [X0: individuals > $i > $o,X1: $i] :
! [X2: individuals] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f10]) ).
thf(f45,plain,
( mall
= ( ^ [Y0: individuals > $i > $o,Y1: $i] :
( !! @ individuals
@ ^ [Y2: individuals] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f46,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f49,plain,
~ ! [X0: $i > $o,X1: individuals] : ( bl_valid @ ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ X0 ) ) @ ( bl_says @ X1 @ ( bl_atom @ X0 ) ) ) ),
inference(rectify,[],[f42]) ).
thf(f50,plain,
( ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] : ( bl_valid @ ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ Y1 ) ) @ ( bl_says @ Y0 @ ( bl_atom @ Y1 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f49]) ).
thf(f51,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f52,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f53,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f54,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f53]) ).
thf(f55,plain,
mvalid = bl_valid,
inference(fool_elimination,[],[f39]) ).
thf(f58,plain,
( cs4_all
= ( ^ [Y0: individuals > $i > $o] : ( mbox @ reli @ ( mall @ Y0 ) ) ) ),
inference(fool_elimination,[],[f22]) ).
thf(f59,plain,
( cs4_valid
@ ( cs4_all
@ ^ [X0: individuals] : ( cs4_impl @ ( princ_inj @ X0 ) @ ( princ_inj @ loca ) ) ) ),
inference(rectify,[],[f40]) ).
thf(f60,plain,
( $true
= ( cs4_valid
@ ( cs4_all
@ ^ [Y0: individuals] : ( cs4_impl @ ( princ_inj @ Y0 ) @ ( princ_inj @ loca ) ) ) ) ),
inference(fool_elimination,[],[f59]) ).
thf(f65,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f71,plain,
( bl_princ
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f73,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f74,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f73]) ).
thf(f80,plain,
( bl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( cs4_impl @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f85,plain,
( bl_atom
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(fool_elimination,[],[f30]) ).
thf(f86,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f91,plain,
( bl_says
= ( ^ [Y0: individuals,Y1: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ Y0 ) ) @ Y1 ) ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f96,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f97,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f96]) ).
thf(f100,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f102,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f104,plain,
( bl_princ
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(cnf_transformation,[],[f71]) ).
thf(f109,plain,
( bl_says
= ( ^ [Y0: individuals,Y1: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ Y0 ) ) @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f91]) ).
thf(f110,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f43]) ).
thf(f111,plain,
( $true
= ( cs4_valid
@ ( cs4_all
@ ^ [Y0: individuals] : ( cs4_impl @ ( princ_inj @ Y0 ) @ ( princ_inj @ loca ) ) ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f113,plain,
( mall
= ( ^ [Y0: individuals > $i > $o,Y1: $i] :
( !! @ individuals
@ ^ [Y2: individuals] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f121,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f86]) ).
thf(f122,plain,
( cs4_all
= ( ^ [Y0: individuals > $i > $o] : ( mbox @ reli @ ( mall @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f123,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f128,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f129,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f74]) ).
thf(f130,plain,
( ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] : ( bl_valid @ ( bl_impl @ ( bl_says @ loca @ ( bl_atom @ Y1 ) ) @ ( bl_says @ Y0 @ ( bl_atom @ Y1 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f50]) ).
thf(f133,plain,
mvalid = bl_valid,
inference(cnf_transformation,[],[f55]) ).
thf(f135,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f97]) ).
thf(f136,plain,
( bl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( cs4_impl @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f80]) ).
thf(f137,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f100]) ).
thf(f138,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f54]) ).
thf(f140,plain,
( bl_atom
= ( ^ [Y0: $i > $o] : ( cs4_atom @ Y0 ) ) ),
inference(cnf_transformation,[],[f85]) ).
thf(f146,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,[],[f128,f102,f138]) ).
thf(f148,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,[],[f123,f135]) ).
thf(f151,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,[],[f121,f135,f146]) ).
thf(f153,plain,
( cs4_all
= ( ^ [Y0: individuals > $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ ( ^ [Y1: individuals > $i > $o,Y2: $i] :
( !! @ individuals
@ ^ [Y3: individuals] : ( Y1 @ Y3 @ Y2 ) )
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f122,f135,f113]) ).
thf(f154,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,[],[f110,f135,f135]) ).
thf(f155,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f137,f129]) ).
thf(f156,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,[],[f140,f148]) ).
thf(f157,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,[],[f104,f148]) ).
thf(f160,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,[],[f136,f151]) ).
thf(f162,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,[],[f109,f154,f151,f157]) ).
thf(f163,plain,
( bl_valid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f133,f129]) ).
thf(f165,plain,
( $true
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: individuals > $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ ( ^ [Y1: individuals > $i > $o,Y2: $i] :
( !! @ individuals
@ ^ [Y3: individuals] : ( Y1 @ Y3 @ Y2 ) )
@ Y0 ) )
@ ^ [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 > $o,Y4: $i > $o] :
( ^ [Y5: $i > $o,Y6: $i > $o,Y7: $i] :
( ( Y6 @ Y7 )
| ( Y5 @ Y7 ) )
@ ( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ Y3 )
@ Y4 )
@ Y1
@ Y2 ) )
@ ( princ_inj @ Y0 )
@ ( princ_inj @ loca ) ) ) ) ),
inference(definition_unfolding,[],[f111,f155,f153,f151]) ).
thf(f169,plain,
( $true
= ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ^ [Y2: $i > $o] :
( !! @ $i
@ ^ [Y3: $i] : ( Y2 @ Y3 ) )
@ ( ^ [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 ) )
@ loca
@ ( ^ [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: 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 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f130,f163,f160,f162,f156,f162,f156]) ).
thf(f173,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ individuals
@ ^ [Y2: individuals] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y1 @ Y3 )
=> ( ( princ_inj @ loca @ Y3 )
| ~ ( princ_inj @ Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f165]) ).
thf(f175,plain,
( $true
= ( ~ ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ Y0 @ Y7 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ loca @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f169]) ).
thf(f180,plain,
( ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ Y0 @ Y7 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ loca @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f175]) ).
thf(f181,plain,
( ( ^ [Y0: individuals] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ Y0 @ Y7 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( relr @ Y4 @ Y5 )
=> ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( Y1 @ Y7 ) ) )
| ~ ( !! @ $i
@ ^ [Y7: $i] :
( ( reli @ Y6 @ Y7 )
=> ( princ_inj @ loca @ Y7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f180]) ).
thf(f182,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ sK0 @ Y6 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ loca @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f181]) ).
thf(f183,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ sK0 @ Y6 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( relr @ Y3 @ Y4 )
=> ( !! @ $i
@ ^ [Y5: $i] :
( ( reli @ Y4 @ Y5 )
=> ( ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( Y0 @ Y6 ) ) )
| ~ ( !! @ $i
@ ^ [Y6: $i] :
( ( reli @ Y5 @ Y6 )
=> ( princ_inj @ loca @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f182]) ).
thf(f184,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $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
@ ^ [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 @ loca @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f183]) ).
thf(f196,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ( !! @ $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
@ ^ [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 @ loca @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f184]) ).
thf(f198,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( ( !! @ $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
@ ^ [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 @ loca @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f196]) ).
thf(f202,plain,
( ( ^ [Y0: $i] :
( ( reli @ sK2 @ Y0 )
=> ( ( !! @ $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
@ ^ [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 @ loca @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f198]) ).
thf(f204,plain,
( ( ( reli @ sK2 @ sK3 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK3 @ 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 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK3 @ 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 @ loca @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f202]) ).
thf(f206,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK3 @ 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 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK3 @ 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 @ loca @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f204]) ).
thf(f208,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK3 @ 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 @ loca @ Y3 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f206]) ).
thf(f209,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK3 @ 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 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f206]) ).
thf(f210,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK3 @ 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 @ loca @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f208]) ).
thf(f215,plain,
( ( ^ [Y0: $i] :
( ( reli @ sK3 @ 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 ) ) ) ) ) ) ) ) )
@ sK4 )
= $false ),
inference(sigma_proxy_clausification,[],[f209]) ).
thf(f217,plain,
( ( ( reli @ sK3 @ sK4 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ sK4 @ 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 ),
inference(beta-eta_normalization,[],[f215]) ).
thf(f219,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ sK4 @ 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 ),
inference(imp_proxy_clausification,[],[f217]) ).
thf(f220,plain,
( $true
= ( reli @ sK3 @ sK4 ) ),
inference(imp_proxy_clausification,[],[f217]) ).
thf(f223,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( reli @ sK3 @ 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 @ loca @ Y3 ) ) ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f210]) ).
thf(f224,plain,
! [X1: $i] :
( $true
= ( ( reli @ sK3 @ 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 @ loca @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f223]) ).
thf(f225,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 @ loca @ Y2 ) ) ) ) ) ) ) ) )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f224]) ).
thf(f230,plain,
! [X2: $i,X1: $i] :
( ( ( reli @ sK3 @ X1 )
= $false )
| ( $true
= ( ^ [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 @ loca @ Y2 ) ) ) ) ) ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f225]) ).
thf(f231,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( 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 @ loca @ Y1 ) ) ) ) ) ) ) )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f230]) ).
thf(f232,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ loca @ Y1 ) ) ) ) ) ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f231]) ).
thf(f239,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ loca @ Y1 ) ) ) ) )
@ X3 )
= $true )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) ) ),
inference(pi_proxy_clausification,[],[f232]) ).
thf(f240,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( reli @ X2 @ X3 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) ) ) )
= $true )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f239]) ).
thf(f241,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( reli @ sK3 @ X1 )
= $false )
| ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) ) ) )
| ( ( reli @ X2 @ X3 )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f240]) ).
thf(f242,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ X2 @ X3 )
= $false )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) ) ) )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f241]) ).
thf(f243,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) ) )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) ) )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( ( reli @ X2 @ X3 )
= $false ) ),
inference(not_proxy_clausification,[],[f242]) ).
thf(f246,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( reli @ sK3 @ X1 )
= $false )
| ( ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( princ_inj @ loca @ Y0 ) )
@ ( sK6 @ X3 ) )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) ) )
| ( ( reli @ X2 @ X3 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f243]) ).
thf(f249,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( reli @ X2 @ X3 )
= $false )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( ( reli @ X3 @ ( sK6 @ X3 ) )
=> ( princ_inj @ loca @ ( sK6 @ X3 ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f246]) ).
thf(f250,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) ) )
| ( ( reli @ X2 @ X3 )
= $false )
| ( ( princ_inj @ loca @ ( sK6 @ X3 ) )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f249]) ).
thf(f251,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) ) ) )
| ( ( reli @ X3 @ ( sK6 @ X3 ) )
= $true )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ X2 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f249]) ).
thf(f252,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ X2 @ X3 )
= $false )
| ( ( princ_inj @ loca @ ( sK6 @ X3 ) )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) )
@ X4 ) )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f250]) ).
thf(f253,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ( reli @ X3 @ X4 )
=> ( sK1 @ X4 ) )
= $true )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( ( reli @ X2 @ X3 )
= $false )
| ( ( princ_inj @ loca @ ( sK6 @ X3 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f252]) ).
thf(f254,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( princ_inj @ loca @ ( sK6 @ X3 ) )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( ( reli @ X3 @ X4 )
= $false )
| ( ( reli @ X2 @ X3 )
= $false )
| ( $true
= ( sK1 @ X4 ) ) ),
inference(imp_proxy_clausification,[],[f253]) ).
thf(f261,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( reli @ X3 @ ( sK6 @ X3 ) )
= $true )
| ( $true
= ( ^ [Y0: $i] :
( ( reli @ X3 @ Y0 )
=> ( sK1 @ Y0 ) )
@ X4 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ X2 @ X3 )
= $false )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f251]) ).
thf(f262,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( reli @ sK3 @ X1 )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( ( reli @ X3 @ X4 )
=> ( sK1 @ X4 ) )
= $true )
| ( ( reli @ X2 @ X3 )
= $false )
| ( ( reli @ X3 @ ( sK6 @ X3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f261]) ).
thf(f263,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( reli @ X3 @ ( sK6 @ X3 ) )
= $true )
| ( ( reli @ X3 @ X4 )
= $false )
| ( ( reli @ X2 @ X3 )
= $false )
| ( $true
= ( sK1 @ X4 ) )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ sK3 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f262]) ).
thf(f272,plain,
( ( ^ [Y0: $i] :
( ( relr @ sK4 @ 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 ) ) ) ) ) ) )
@ sK8 )
= $false ),
inference(sigma_proxy_clausification,[],[f219]) ).
thf(f275,plain,
( ( ( relr @ sK4 @ sK8 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f272]) ).
thf(f276,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f275]) ).
thf(f277,plain,
( ( relr @ sK4 @ sK8 )
= $true ),
inference(imp_proxy_clausification,[],[f275]) ).
thf(f278,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ individuals
@ ^ [Y2: individuals] :
( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y1 @ Y3 )
=> ( ( princ_inj @ loca @ Y3 )
| ~ ( princ_inj @ Y2 @ Y3 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f173]) ).
thf(f279,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( !! @ individuals
@ ^ [Y1: individuals] :
( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y0 @ Y2 )
=> ( ( princ_inj @ loca @ Y2 )
| ~ ( princ_inj @ Y1 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f278]) ).
thf(f280,plain,
( ( ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK1 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( princ_inj @ sK0 @ Y1 ) ) ) ) )
@ sK9 )
= $false ),
inference(sigma_proxy_clausification,[],[f276]) ).
thf(f283,plain,
( ( ( reli @ sK8 @ sK9 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f280]) ).
thf(f284,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( sK1 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f283]) ).
thf(f285,plain,
( $true
= ( reli @ sK8 @ sK9 ) ),
inference(imp_proxy_clausification,[],[f283]) ).
thf(f286,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f284]) ).
thf(f287,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( sK1 @ Y0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f284]) ).
thf(f288,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f286]) ).
thf(f289,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( !! @ individuals
@ ^ [Y1: individuals] :
( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y0 @ Y2 )
=> ( ( princ_inj @ loca @ Y2 )
| ~ ( princ_inj @ Y1 @ Y2 ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f279]) ).
thf(f290,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( reli @ X1 @ X2 )
=> ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ X2 @ Y1 )
=> ( ( princ_inj @ loca @ Y1 )
| ~ ( princ_inj @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f289]) ).
thf(f291,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ individuals
@ ^ [Y0: individuals] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ X2 @ Y1 )
=> ( ( princ_inj @ loca @ Y1 )
| ~ ( princ_inj @ Y0 @ Y1 ) ) ) ) ) )
| ( ( reli @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f290]) ).
thf(f292,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( sK1 @ Y0 ) )
@ ( sK7 @ sK1 @ sK9 ) ) ),
inference(sigma_proxy_clausification,[],[f287]) ).
thf(f295,plain,
( ( ( reli @ sK9 @ ( sK7 @ sK1 @ sK9 ) )
=> ( sK1 @ ( sK7 @ sK1 @ sK9 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f292]) ).
thf(f296,plain,
( ( sK1 @ ( sK7 @ sK1 @ sK9 ) )
= $false ),
inference(imp_proxy_clausification,[],[f295]) ).
thf(f297,plain,
( $true
= ( reli @ sK9 @ ( sK7 @ sK1 @ sK9 ) ) ),
inference(imp_proxy_clausification,[],[f295]) ).
thf(f298,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( reli @ sK9 @ Y0 )
=> ( princ_inj @ sK0 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f288]) ).
thf(f299,plain,
! [X1: $i] :
( ( ( reli @ sK9 @ X1 )
=> ( princ_inj @ sK0 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f298]) ).
thf(f300,plain,
! [X1: $i] :
( ( ( princ_inj @ sK0 @ X1 )
= $true )
| ( ( reli @ sK9 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f299]) ).
thf(f301,plain,
! [X2: $i,X3: individuals,X1: $i] :
( ( ( ^ [Y0: individuals] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ X2 @ Y1 )
=> ( ( princ_inj @ loca @ Y1 )
| ~ ( princ_inj @ Y0 @ Y1 ) ) ) )
@ X3 )
= $true )
| ( ( reli @ X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f291]) ).
thf(f302,plain,
! [X2: $i,X3: individuals,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( ( princ_inj @ loca @ Y0 )
| ~ ( princ_inj @ X3 @ Y0 ) ) ) )
= $true )
| ( ( reli @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f301]) ).
thf(f303,plain,
! [X2: $i,X3: individuals,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( ( princ_inj @ loca @ Y0 )
| ~ ( princ_inj @ X3 @ Y0 ) ) )
@ X4 ) )
| ( ( reli @ X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f302]) ).
thf(f304,plain,
! [X2: $i,X3: individuals,X1: $i,X4: $i] :
( ( $true
= ( ( reli @ X2 @ X4 )
=> ( ( princ_inj @ loca @ X4 )
| ~ ( princ_inj @ X3 @ X4 ) ) ) )
| ( ( reli @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f303]) ).
thf(f305,plain,
! [X2: $i,X3: individuals,X1: $i,X4: $i] :
( ( $false
= ( reli @ X2 @ X4 ) )
| ( ( reli @ X1 @ X2 )
= $false )
| ( $true
= ( ( princ_inj @ loca @ X4 )
| ~ ( princ_inj @ X3 @ X4 ) ) ) ),
inference(imp_proxy_clausification,[],[f304]) ).
thf(f306,plain,
! [X2: $i,X3: individuals,X1: $i,X4: $i] :
( ( ( ~ ( princ_inj @ X3 @ X4 ) )
= $true )
| ( ( princ_inj @ loca @ X4 )
= $true )
| ( ( reli @ X1 @ X2 )
= $false )
| ( $false
= ( reli @ X2 @ X4 ) ) ),
inference(or_proxy_clausification,[],[f305]) ).
thf(f307,plain,
! [X2: $i,X3: individuals,X1: $i,X4: $i] :
( ( $false
= ( reli @ X2 @ X4 ) )
| ( ( princ_inj @ X3 @ X4 )
= $false )
| ( ( reli @ X1 @ X2 )
= $false )
| ( ( princ_inj @ loca @ X4 )
= $true ) ),
inference(not_proxy_clausification,[],[f306]) ).
thf(f316,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: individuals,X5: $i] :
( ( $true = $false )
| ( $true
= ( princ_inj @ loca @ ( sK6 @ X0 ) ) )
| ( ( reli @ X2 @ X0 )
= $false )
| ( ( reli @ sK3 @ X3 )
= $false )
| ( ( princ_inj @ X4 @ ( sK6 @ X0 ) )
= $false )
| ( ( reli @ X5 @ X0 )
= $false )
| ( ( reli @ X0 @ X1 )
= $false )
| ( ( relr @ X3 @ X2 )
= $false )
| ( $true
= ( sK1 @ X1 ) ) ),
inference(superposition,[],[f263,f307]) ).
thf(f323,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: individuals,X5: $i] :
( ( $true
= ( princ_inj @ loca @ ( sK6 @ X0 ) ) )
| ( ( princ_inj @ X4 @ ( sK6 @ X0 ) )
= $false )
| ( ( reli @ X0 @ X1 )
= $false )
| ( ( reli @ X5 @ X0 )
= $false )
| ( ( relr @ X3 @ X2 )
= $false )
| ( ( reli @ sK3 @ X3 )
= $false )
| ( ( reli @ X2 @ X0 )
= $false )
| ( $true
= ( sK1 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f316]) ).
thf(f360,definition,
( spl10_8
<=> ! [X1: $i] :
( ( reli @ X1 @ sK9 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
thf(f361,plain,
( ! [X1: $i] :
( ( reli @ X1 @ sK9 )
= $false )
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f360]) ).
thf(f387,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: individuals,X5: $i] :
( ( $true = $false )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( ( reli @ X0 @ X3 )
= $false )
| ( ( reli @ X2 @ X0 )
= $false )
| ( ( reli @ sK3 @ X7 )
= $false )
| ( ( princ_inj @ X4 @ ( sK6 @ X0 ) )
= $false )
| ( $true
= ( sK1 @ X3 ) )
| ( ( reli @ X6 @ X0 )
= $false )
| ( ( sK1 @ X5 )
= $true )
| ( ( relr @ X7 @ X8 )
= $false )
| ( ( reli @ X0 @ X5 )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ X8 @ X0 )
= $false ) ),
inference(superposition,[],[f254,f323]) ).
thf(f389,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: individuals,X5: $i] :
( ( ( princ_inj @ X4 @ ( sK6 @ X0 ) )
= $false )
| ( ( reli @ sK3 @ X7 )
= $false )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( ( reli @ X0 @ X3 )
= $false )
| ( ( relr @ X7 @ X8 )
= $false )
| ( ( reli @ X0 @ X5 )
= $false )
| ( $false
= ( relr @ X1 @ X2 ) )
| ( ( reli @ X8 @ X0 )
= $false )
| ( ( sK1 @ X5 )
= $true )
| ( ( reli @ X6 @ X0 )
= $false )
| ( $true
= ( sK1 @ X3 ) )
| ( ( reli @ X2 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f387]) ).
thf(f410,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( reli @ sK3 @ X2 )
= $false )
| ( $true = $false )
| ( ( reli @ X6 @ X0 )
= $false )
| ( ( reli @ X0 @ X3 )
= $false )
| ( ( sK1 @ X5 )
= $true )
| ( ( reli @ X4 @ X0 )
= $false )
| ( ( reli @ X7 @ X0 )
= $false )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( ( reli @ X0 @ X5 )
= $false )
| ( $false
= ( reli @ sK9 @ ( sK6 @ X0 ) ) )
| ( $false
= ( relr @ X1 @ X4 ) )
| ( $true
= ( sK1 @ X3 ) )
| ( ( relr @ X2 @ X6 )
= $false ) ),
inference(superposition,[],[f300,f389]) ).
thf(f412,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( reli @ sK9 @ ( sK6 @ X0 ) ) )
| ( ( relr @ X2 @ X6 )
= $false )
| ( ( reli @ X7 @ X0 )
= $false )
| ( ( reli @ X4 @ X0 )
= $false )
| ( ( reli @ X0 @ X3 )
= $false )
| ( ( sK1 @ X5 )
= $true )
| ( ( reli @ sK3 @ X2 )
= $false )
| ( ( reli @ X6 @ X0 )
= $false )
| ( ( reli @ X0 @ X5 )
= $false )
| ( $true
= ( sK1 @ X3 ) )
| ( ( reli @ sK3 @ X1 )
= $false )
| ( $false
= ( relr @ X1 @ X4 ) ) ),
inference(trivial_inequality_removal,[],[f410]) ).
thf(f433,plain,
( ( $true = $false )
| ~ spl10_8 ),
inference(superposition,[],[f361,f285]) ).
thf(f438,plain,
( $false
| ~ spl10_8 ),
inference(trivial_inequality_removal,[],[f433]) ).
thf(f439,plain,
~ spl10_8,
inference(avatar_contradiction_clause,[],[f438]) ).
thf(f443,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( reli @ sK3 @ X2 )
= $false )
| ( $false
= ( reli @ sK9 @ X0 ) )
| ( ( reli @ sK3 @ X3 )
= $false )
| ( ( relr @ X2 @ X1 )
= $false )
| ( ( relr @ X9 @ X6 )
= $false )
| ( $true = $false )
| ( ( reli @ X6 @ sK9 )
= $false )
| ( ( reli @ X4 @ sK9 )
= $false )
| ( ( reli @ sK9 @ X7 )
= $false )
| ( ( sK1 @ X0 )
= $true )
| ( ( reli @ X1 @ sK9 )
= $false )
| ( $true
= ( sK1 @ X7 ) )
| ( ( reli @ sK9 @ X8 )
= $false )
| ( ( relr @ X3 @ X4 )
= $false )
| ( ( reli @ sK3 @ X9 )
= $false )
| ( $true
= ( sK1 @ X8 ) )
| ( ( reli @ X5 @ sK9 )
= $false ) ),
inference(superposition,[],[f263,f412]) ).
thf(f447,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( reli @ sK9 @ X8 )
= $false )
| ( ( reli @ X1 @ sK9 )
= $false )
| ( ( reli @ sK3 @ X9 )
= $false )
| ( ( relr @ X9 @ X6 )
= $false )
| ( $false
= ( reli @ sK9 @ X0 ) )
| ( ( reli @ sK9 @ X7 )
= $false )
| ( ( reli @ sK3 @ X2 )
= $false )
| ( ( reli @ sK3 @ X3 )
= $false )
| ( ( relr @ X3 @ X4 )
= $false )
| ( ( reli @ X4 @ sK9 )
= $false )
| ( $true
= ( sK1 @ X8 ) )
| ( ( reli @ X5 @ sK9 )
= $false )
| ( ( relr @ X2 @ X1 )
= $false )
| ( ( sK1 @ X0 )
= $true )
| ( ( reli @ X6 @ sK9 )
= $false )
| ( $true
= ( sK1 @ X7 ) ) ),
inference(trivial_inequality_removal,[],[f443]) ).
thf(f452,definition,
( spl10_13
<=> ! [X7: $i] :
( ( ( reli @ sK9 @ X7 )
= $false )
| ( $true
= ( sK1 @ X7 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
thf(f453,plain,
( ! [X7: $i] :
( ( ( reli @ sK9 @ X7 )
= $false )
| ( $true
= ( sK1 @ X7 ) ) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f452]) ).
thf(f455,definition,
( spl10_14
<=> ! [X0: $i,X1: $i] :
( ( ( reli @ sK3 @ X0 )
= $false )
| ( ( reli @ X1 @ sK9 )
= $false )
| ( ( relr @ X0 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
thf(f456,plain,
( ! [X0: $i,X1: $i] :
( ( ( relr @ X0 @ X1 )
= $false )
| ( ( reli @ X1 @ sK9 )
= $false )
| ( ( reli @ sK3 @ X0 )
= $false ) )
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f455]) ).
thf(f458,plain,
( spl10_14
| spl10_14
| spl10_13
| spl10_8
| spl10_14
| spl10_13
| spl10_13 ),
inference(avatar_split_clause,[],[f447,f452,f452,f455,f360,f452,f455,f455]) ).
thf(f474,plain,
( ( $true
= ( sK1 @ ( sK7 @ sK1 @ sK9 ) ) )
| ( $true = $false )
| ~ spl10_13 ),
inference(superposition,[],[f297,f453]) ).
thf(f477,plain,
( ( $true
= ( sK1 @ ( sK7 @ sK1 @ sK9 ) ) )
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f474]) ).
thf(f484,plain,
( ( $true = $false )
| ~ spl10_13 ),
inference(forward_demodulation,[],[f477,f296]) ).
thf(f485,plain,
( $false
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f484]) ).
thf(f486,plain,
~ spl10_13,
inference(avatar_contradiction_clause,[],[f485]) ).
thf(f491,plain,
( ( ( reli @ sK3 @ sK4 )
= $false )
| ( ( reli @ sK8 @ sK9 )
= $false )
| ( $true = $false )
| ~ spl10_14 ),
inference(superposition,[],[f456,f277]) ).
thf(f494,plain,
( ( ( reli @ sK8 @ sK9 )
= $false )
| ( ( reli @ sK3 @ sK4 )
= $false )
| ~ spl10_14 ),
inference(trivial_inequality_removal,[],[f491]) ).
thf(f497,plain,
( ( $true = $false )
| ( ( reli @ sK3 @ sK4 )
= $false )
| ~ spl10_14 ),
inference(forward_demodulation,[],[f494,f285]) ).
thf(f498,plain,
( ( ( reli @ sK3 @ sK4 )
= $false )
| ~ spl10_14 ),
inference(trivial_inequality_removal,[],[f497]) ).
thf(f504,plain,
( ( $true = $false )
| ~ spl10_14 ),
inference(superposition,[],[f498,f220]) ).
thf(f509,plain,
( $false
| ~ spl10_14 ),
inference(trivial_inequality_removal,[],[f504]) ).
thf(f510,plain,
~ spl10_14,
inference(avatar_contradiction_clause,[],[f509]) ).
cnf(s12,plain,
~ spl10_8,
inference(sat_conversion,[],[f439]) ).
cnf(s15,plain,
( spl10_13
| spl10_13
| spl10_14
| spl10_14
| spl10_8
| spl10_13
| spl10_14 ),
inference(sat_conversion,[],[f458]) ).
cnf(s16,plain,
( spl10_8
| spl10_13
| spl10_14 ),
inference(rat,[],[s15]) ).
cnf(s22,plain,
~ spl10_13,
inference(sat_conversion,[],[f486]) ).
cnf(s24,plain,
~ spl10_14,
inference(sat_conversion,[],[f510]) ).
cnf(s27,plain,
spl10_8,
inference(rat,[],[s16,s24,s22]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s12,s27]) ).
thf(f512,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV444^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:04:30 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.81/0.38 % (4185034)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.81/0.38 % (4185042)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=3219169181: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)
% 0.81/0.38 % (4185040)lrs+10_16_si=on:nwc=1.5:random_seed=2697722432:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.81/0.38 % (4185039)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3028476197:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.81/0.38 % (4185041)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1368633081:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.81/0.38 % (4185041)Instruction limit reached!
% 0.81/0.38 % (4185041)------------------------------
% 0.81/0.38 % (4185041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.38 % (4185041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.38 % (4185041)CaDiCaL version: 2.1.3
% 0.81/0.38 % (4185041)Termination reason: Instruction limit
% 0.81/0.38 % (4185041)Termination phase: Property scanning
% 0.81/0.38 % (4185041)Time elapsed: 0.001 s
% 0.81/0.38 % (4185041)Peak memory usage: 10 MB
% 0.81/0.38 % (4185041)Instructions burned: 3 (million)
% 0.81/0.38 % (4185040)Instruction limit reached!
% 0.81/0.38 % (4185040)------------------------------
% 0.81/0.38 % (4185040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.38 % (4185040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.38 % (4185040)CaDiCaL version: 2.1.3
% 0.81/0.38 % (4185040)Termination reason: Instruction limit
% 0.81/0.38 % (4185040)Termination phase: Saturation
% 0.81/0.38 % (4185040)Time elapsed: 0.008 s
% 0.81/0.38 % (4185040)Peak memory usage: 11 MB
% 0.81/0.38 % (4185040)Instructions burned: 18 (million)
% 0.81/0.38 % (4185045)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.81/0.38 % (4185045)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
% 0.81/0.38 % (4185044)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3674876633:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.81/0.38 % (4185045)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=2202033459:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.81/0.38 % (4185043)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1460955688:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.81/0.38 % (4185050)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4014152601:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.81/0.38 % (4185050)Instruction limit reached!
% 0.81/0.38 % (4185050)------------------------------
% 0.81/0.38 % (4185050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.38 % (4185050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.38 % (4185050)CaDiCaL version: 2.1.3
% 0.81/0.38 % (4185050)Termination reason: Instruction limit
% 0.81/0.38 % (4185050)Termination phase: Property scanning
% 0.81/0.38 % (4185050)Time elapsed: 0.002 s
% 0.81/0.38 % (4185050)Peak memory usage: 10 MB
% 0.81/0.38 % (4185050)Instructions burned: 4 (million)
% 0.81/0.38 % (4185051)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1407662239:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.81/0.38 % (4185051)Instruction limit reached!
% 0.81/0.38 % (4185051)------------------------------
% 0.81/0.38 % (4185051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.38 % (4185051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.38 % (4185051)CaDiCaL version: 2.1.3
% 0.81/0.38 % (4185051)Termination reason: Instruction limit
% 0.81/0.38 % (4185051)Termination phase: Property scanning
% 0.81/0.38 % (4185051)Time elapsed: 0.003 s
% 0.81/0.38 % (4185051)Peak memory usage: 10 MB
% 0.81/0.38 % (4185051)Instructions burned: 6 (million)
% 0.81/0.42 % (4185056)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.81/0.42 % (4185039)Instruction limit reached!
% 0.81/0.42 % (4185039)------------------------------
% 0.81/0.42 % (4185039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.42 % (4185039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.42 % (4185039)CaDiCaL version: 2.1.3
% 0.81/0.42 % (4185039)Termination reason: Instruction limit
% 0.81/0.42 % (4185039)Termination phase: Saturation
% 0.81/0.42 % (4185039)Time elapsed: 0.042 s
% 0.81/0.42 % (4185039)Peak memory usage: 12 MB
% 0.81/0.42 % (4185039)Instructions burned: 89 (million)
% 0.81/0.42 % (4185056)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=790472458:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.81/0.42 % (4185043)Instruction limit reached!
% 0.81/0.42 % (4185043)------------------------------
% 0.81/0.42 % (4185043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.42 % (4185043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.42 % (4185043)CaDiCaL version: 2.1.3
% 0.81/0.42 % (4185043)Termination reason: Instruction limit
% 0.81/0.42 % (4185043)Termination phase: Saturation
% 0.81/0.42 % (4185043)Time elapsed: 0.026 s
% 0.81/0.42 % (4185043)Peak memory usage: 12 MB
% 0.81/0.42 % (4185043)Instructions burned: 24 (million)
% 0.81/0.42 % (4185056)Instruction limit reached!
% 0.81/0.42 % (4185056)------------------------------
% 0.81/0.42 % (4185056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.42 % (4185056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.42 % (4185056)CaDiCaL version: 2.1.3
% 0.81/0.42 % (4185056)Termination reason: Instruction limit
% 0.81/0.42 % (4185056)Termination phase: Saturation
% 0.81/0.42 % (4185056)Time elapsed: 0.004 s
% 0.81/0.42 % (4185056)Peak memory usage: 11 MB
% 0.81/0.42 % (4185056)Instructions burned: 9 (million)
% 0.81/0.42 % (4185058)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1946608840:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.81/0.42 % (4185058)Instruction limit reached!
% 0.81/0.42 % (4185058)------------------------------
% 0.81/0.42 % (4185058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.42 % (4185058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.42 % (4185058)CaDiCaL version: 2.1.3
% 0.81/0.42 % (4185059)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
% 0.81/0.42 % (4185058)Termination reason: Instruction limit
% 0.81/0.42 % (4185058)Termination phase: Saturation
% 0.81/0.42 % (4185058)Time elapsed: 0.006 s
% 0.81/0.42 % (4185058)Peak memory usage: 11 MB
% 0.81/0.42 % (4185058)Instructions burned: 13 (million)
% 0.81/0.42 % (4185059)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.81/0.42 % (4185059)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=884265772:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.81/0.42 % (4185062)lrs+10_1_si=on:cs=on:random_seed=2272568159:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.81/0.42 % (4185061)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=892228517:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.81/0.42 % (4185062)Instruction limit reached!
% 0.81/0.42 % (4185062)------------------------------
% 0.81/0.42 % (4185062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.42 % (4185062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.42 % (4185062)CaDiCaL version: 2.1.3
% 0.81/0.42 % (4185062)Termination reason: Instruction limit
% 0.81/0.42 % (4185062)Termination phase: Property scanning
% 0.81/0.42 % (4185062)Time elapsed: 0.004 s
% 0.81/0.42 % (4185062)Peak memory usage: 10 MB
% 0.81/0.42 % (4185062)Instructions burned: 8 (million)
% 0.81/0.42 % (4185064)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.81/0.45 % (4185059)Instruction limit reached!
% 0.81/0.45 % (4185059)------------------------------
% 0.81/0.45 % (4185059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (4185059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (4185059)CaDiCaL version: 2.1.3
% 0.81/0.45 % (4185059)Termination reason: Instruction limit
% 0.81/0.45 % (4185059)Termination phase: Saturation
% 0.81/0.45 % (4185059)Time elapsed: 0.013 s
% 0.81/0.45 % (4185059)Peak memory usage: 11 MB
% 0.81/0.45 % (4185059)Instructions burned: 29 (million)
% 0.81/0.45 % (4185064)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=73230461:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.81/0.45 % (4185064)Instruction limit reached!
% 0.81/0.45 % (4185064)------------------------------
% 0.81/0.45 % (4185064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (4185064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (4185064)CaDiCaL version: 2.1.3
% 0.81/0.45 % (4185064)Termination reason: Instruction limit
% 0.81/0.45 % (4185064)Termination phase: Property scanning
% 0.81/0.45 % (4185064)Time elapsed: 0.003 s
% 0.81/0.45 % (4185064)Peak memory usage: 10 MB
% 0.81/0.45 % (4185064)Instructions burned: 7 (million)
% 0.81/0.45 % (4185044)Instruction limit reached!
% 0.81/0.45 % (4185044)------------------------------
% 0.81/0.45 % (4185044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (4185044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (4185044)CaDiCaL version: 2.1.3
% 0.81/0.45 % (4185044)Termination reason: Instruction limit
% 0.81/0.45 % (4185044)Termination phase: Saturation
% 0.81/0.45 % (4185044)Time elapsed: 0.067 s
% 0.81/0.45 % (4185044)Peak memory usage: 12 MB
% 0.81/0.45 % (4185044)Instructions burned: 75 (million)
% 0.81/0.45 % (4185068)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1220883762:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.81/0.45 % (4185069)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2249569289:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.81/0.45 % (4185068)Refutation not found, incomplete strategy
% 0.81/0.45 % (4185068)------------------------------
% 0.81/0.45 % (4185068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (4185068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (4185068)CaDiCaL version: 2.1.3
% 0.81/0.45 % (4185068)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.45 % (4185068)Time elapsed: 0.005 s
% 0.81/0.45 % (4185068)Peak memory usage: 12 MB
% 0.81/0.45 % (4185068)Instructions burned: 8 (million)
% 0.81/0.45 % (4185069)Refutation not found, incomplete strategy
% 0.81/0.45 % (4185069)------------------------------
% 0.81/0.45 % (4185069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (4185069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (4185069)CaDiCaL version: 2.1.3
% 0.81/0.45 % (4185069)Termination reason: Refutation not found, incomplete strategy
% 0.81/0.45 % (4185069)Time elapsed: 0.004 s
% 0.81/0.45 % (4185069)Peak memory usage: 12 MB
% 0.81/0.45 % (4185069)Instructions burned: 7 (million)
% 0.81/0.45 % (4185068)------------------------------
% 0.81/0.45 % (4185068)------------------------------
% 0.81/0.45 % (4185069)------------------------------
% 0.81/0.45 % (4185069)------------------------------
% 0.81/0.45 % (4185071)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2974707628:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.81/0.45 % (4185071)Instruction limit reached!
% 0.81/0.45 % (4185071)------------------------------
% 0.81/0.45 % (4185071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.81/0.45 % (4185071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.81/0.45 % (4185071)CaDiCaL version: 2.1.3
% 0.81/0.45 % (4185071)Termination reason: Instruction limit
% 0.81/0.45 % (4185071)Termination phase: Saturation
% 0.81/0.45 % (4185071)Time elapsed: 0.015 s
% 1.53/0.48 % (4185071)Peak memory usage: 12 MB
% 1.53/0.48 % (4185071)Instructions burned: 26 (million)
% 1.53/0.48 % (4185077)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=565971145:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.48 % (4185075)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3691612726:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.53/0.48 % (4185072)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=572751204:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.48 % (4185075)Refutation not found, incomplete strategy
% 1.53/0.48 % (4185075)------------------------------
% 1.53/0.48 % (4185075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.48 % (4185075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.48 % (4185075)CaDiCaL version: 2.1.3
% 1.53/0.48 % (4185075)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.48 % (4185075)Time elapsed: 0.006 s
% 1.53/0.48 % (4185075)Peak memory usage: 12 MB
% 1.53/0.48 % (4185075)Instructions burned: 11 (million)
% 1.53/0.48 % (4185075)------------------------------
% 1.53/0.48 % (4185075)------------------------------
% 1.53/0.48 % (4185077)Instruction limit reached!
% 1.53/0.48 % (4185077)------------------------------
% 1.53/0.48 % (4185077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.48 % (4185077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.48 % (4185077)CaDiCaL version: 2.1.3
% 1.53/0.48 % (4185077)Termination reason: Instruction limit
% 1.53/0.48 % (4185077)Termination phase: Saturation
% 1.53/0.48 % (4185077)Time elapsed: 0.007 s
% 1.53/0.48 % (4185077)Peak memory usage: 11 MB
% 1.53/0.48 % (4185077)Instructions burned: 16 (million)
% 1.53/0.48 % (4185072)Instruction limit reached!
% 1.53/0.48 % (4185072)------------------------------
% 1.53/0.48 % (4185072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.48 % (4185072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.48 % (4185072)CaDiCaL version: 2.1.3
% 1.53/0.48 % (4185072)Termination reason: Instruction limit
% 1.53/0.48 % (4185072)Termination phase: Saturation
% 1.53/0.48 % (4185072)Time elapsed: 0.013 s
% 1.53/0.48 % (4185072)Peak memory usage: 11 MB
% 1.53/0.48 % (4185072)Instructions burned: 15 (million)
% 1.53/0.48 % (4185078)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=330315608:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.53/0.48 % (4185078)Instruction limit reached!
% 1.53/0.48 % (4185078)------------------------------
% 1.53/0.48 % (4185078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.48 % (4185078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.48 % (4185078)CaDiCaL version: 2.1.3
% 1.53/0.48 % (4185078)Termination reason: Instruction limit
% 1.53/0.48 % (4185078)Termination phase: Twee Goal Transformation
% 1.53/0.48 % (4185078)Time elapsed: 0.003 s
% 1.53/0.48 % (4185078)Peak memory usage: 10 MB
% 1.53/0.48 % (4185078)Instructions burned: 7 (million)
% 1.53/0.48 % (4185045)Instruction limit reached!
% 1.53/0.48 % (4185045)------------------------------
% 1.53/0.48 % (4185045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.48 % (4185045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.48 % (4185045)CaDiCaL version: 2.1.3
% 1.53/0.48 % (4185045)Termination reason: Instruction limit
% 1.53/0.48 % (4185045)Termination phase: Saturation
% 1.53/0.48 % (4185045)Time elapsed: 0.123 s
% 1.53/0.48 % (4185045)Peak memory usage: 13 MB
% 1.53/0.48 % (4185045)Instructions burned: 157 (million)
% 1.53/0.48 % (4185083)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1778275802:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.48 % (4185082)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3794222932:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.53/0.48 % (4185084)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1468563421:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.53/0.48 % (4185086)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.53/0.51 % (4185086)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.53/0.51 % (4185061)Instruction limit reached!
% 1.53/0.51 % (4185061)------------------------------
% 1.53/0.51 % (4185061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.51 % (4185061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.51 % (4185061)CaDiCaL version: 2.1.3
% 1.53/0.51 % (4185061)Termination reason: Instruction limit
% 1.53/0.51 % (4185061)Termination phase: Saturation
% 1.53/0.51 % (4185061)Time elapsed: 0.085 s
% 1.53/0.51 % (4185061)Peak memory usage: 13 MB
% 1.53/0.51 % (4185061)Instructions burned: 87 (million)
% 1.53/0.51 % (4185087)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.53/0.51 % (4185083)Instruction limit reached!
% 1.53/0.51 % (4185083)------------------------------
% 1.53/0.51 % (4185083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.51 % (4185083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.51 % (4185083)CaDiCaL version: 2.1.3
% 1.53/0.51 % (4185083)Termination reason: Instruction limit
% 1.53/0.51 % (4185083)Termination phase: Saturation
% 1.53/0.51 % (4185083)Time elapsed: 0.011 s
% 1.53/0.51 % (4185083)Peak memory usage: 11 MB
% 1.53/0.51 % (4185083)Instructions burned: 24 (million)
% 1.53/0.51 % (4185086)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=1641271168:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.51 % (4185082)Instruction limit reached!
% 1.53/0.51 % (4185082)------------------------------
% 1.53/0.51 % (4185082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.51 % (4185082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.51 % (4185082)CaDiCaL version: 2.1.3
% 1.53/0.51 % (4185082)Termination reason: Instruction limit
% 1.53/0.51 % (4185082)Termination phase: Saturation
% 1.53/0.51 % (4185082)Time elapsed: 0.013 s
% 1.53/0.51 % (4185082)Peak memory usage: 12 MB
% 1.53/0.51 % (4185082)Instructions burned: 26 (million)
% 1.53/0.51 % (4185087)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=1279446403:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.53/0.51 % (4185086)Instruction limit reached!
% 1.53/0.51 % (4185086)------------------------------
% 1.53/0.51 % (4185086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.51 % (4185086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.51 % (4185086)CaDiCaL version: 2.1.3
% 1.53/0.51 % (4185086)Termination reason: Instruction limit
% 1.53/0.51 % (4185086)Termination phase: Saturation
% 1.53/0.51 % (4185086)Time elapsed: 0.006 s
% 1.53/0.51 % (4185086)Peak memory usage: 11 MB
% 1.53/0.51 % (4185086)Instructions burned: 14 (million)
% 1.53/0.51 % (4185087)Instruction limit reached!
% 1.53/0.51 % (4185087)------------------------------
% 1.53/0.51 % (4185087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.51 % (4185087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.51 % (4185087)CaDiCaL version: 2.1.3
% 1.53/0.51 % (4185087)Termination reason: Instruction limit
% 1.53/0.51 % (4185087)Termination phase: Property scanning
% 1.53/0.51 % (4185087)Time elapsed: 0.008 s
% 1.53/0.51 % (4185087)Peak memory usage: 10 MB
% 1.53/0.51 % (4185087)Instructions burned: 9 (million)
% 1.53/0.51 % (4185093)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1611036629:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.53/0.51 % (4185091)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=1258356445:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.53/0.51 % (4185042)Instruction limit reached!
% 1.53/0.51 % (4185042)------------------------------
% 1.53/0.51 % (4185042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.51 % (4185042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185042)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185042)Termination reason: Instruction limit
% 1.53/0.52 % (4185042)Termination phase: Saturation
% 1.53/0.52 % (4185042)Time elapsed: 0.186 s
% 1.53/0.52 % (4185042)Peak memory usage: 15 MB
% 1.53/0.52 % (4185042)Instructions burned: 637 (million)
% 1.53/0.52 % (4185093)Instruction limit reached!
% 1.53/0.52 % (4185093)------------------------------
% 1.53/0.52 % (4185093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185093)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185093)Termination reason: Instruction limit
% 1.53/0.52 % (4185093)Termination phase: Saturation
% 1.53/0.52 % (4185093)Time elapsed: 0.004 s
% 1.53/0.52 % (4185093)Peak memory usage: 11 MB
% 1.53/0.52 % (4185093)Instructions burned: 9 (million)
% 1.53/0.52 % (4185094)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3018985777:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.52 % (4185096)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2512079926:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.53/0.52 % (4185100)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1049175081:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.53/0.52 % (4185091)Instruction limit reached!
% 1.53/0.52 % (4185091)------------------------------
% 1.53/0.52 % (4185091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185091)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185091)Termination reason: Instruction limit
% 1.53/0.52 % (4185091)Termination phase: Saturation
% 1.53/0.52 % (4185091)Time elapsed: 0.017 s
% 1.53/0.52 % (4185091)Peak memory usage: 12 MB
% 1.53/0.52 % (4185091)Instructions burned: 32 (million)
% 1.53/0.52 % (4185096)Instruction limit reached!
% 1.53/0.52 % (4185096)------------------------------
% 1.53/0.52 % (4185096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185096)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185096)Termination reason: Instruction limit
% 1.53/0.52 % (4185096)Termination phase: Saturation
% 1.53/0.52 % (4185096)Time elapsed: 0.012 s
% 1.53/0.52 % (4185096)Peak memory usage: 12 MB
% 1.53/0.52 % (4185096)Instructions burned: 21 (million)
% 1.53/0.52 % (4185101)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1177685741:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.53/0.52 % (4185101)Refutation not found, incomplete strategy
% 1.53/0.52 % (4185101)------------------------------
% 1.53/0.52 % (4185101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185101)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185101)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.52 % (4185101)Time elapsed: 0.005 s
% 1.53/0.52 % (4185101)Peak memory usage: 12 MB
% 1.53/0.52 % (4185101)Instructions burned: 10 (million)
% 1.53/0.52 % (4185094)Instruction limit reached!
% 1.53/0.52 % (4185094)------------------------------
% 1.53/0.52 % (4185094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185094)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185094)Termination reason: Instruction limit
% 1.53/0.52 % (4185094)Termination phase: Saturation
% 1.53/0.52 % (4185094)Time elapsed: 0.023 s
% 1.53/0.52 % (4185094)Peak memory usage: 11 MB
% 1.53/0.52 % (4185094)Instructions burned: 24 (million)
% 1.53/0.52 % (4185101)------------------------------
% 1.53/0.52 % (4185101)------------------------------
% 1.53/0.52 % (4185097)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=308645372:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.53/0.52 % (4185084)Instruction limit reached!
% 1.53/0.52 % (4185084)------------------------------
% 1.53/0.52 % (4185084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185084)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185084)Termination reason: Instruction limit
% 1.53/0.52 % (4185084)Termination phase: Saturation
% 1.53/0.52 % (4185084)Time elapsed: 0.055 s
% 1.53/0.52 % (4185084)Peak memory usage: 12 MB
% 1.53/0.52 % (4185084)Instructions burned: 60 (million)
% 1.53/0.52 % (4185106)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.53/0.52 % (4185105)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2316515163:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.53/0.52 % (4185106)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=453416618:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.53/0.52 % (4185106)Instruction limit reached!
% 1.53/0.52 % (4185106)------------------------------
% 1.53/0.52 % (4185106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185106)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185106)Termination reason: Instruction limit
% 1.53/0.52 % (4185106)Termination phase: Property scanning
% 1.53/0.52 % (4185106)Time elapsed: 0.003 s
% 1.53/0.52 % (4185106)Peak memory usage: 10 MB
% 1.53/0.52 % (4185106)Instructions burned: 7 (million)
% 1.53/0.52 % (4185110)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=3774937007:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.53/0.52 % (4185100)Instruction limit reached!
% 1.53/0.52 % (4185100)------------------------------
% 1.53/0.52 % (4185100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185100)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185100)Termination reason: Instruction limit
% 1.53/0.52 % (4185100)Termination phase: Saturation
% 1.53/0.52 % (4185100)Time elapsed: 0.038 s
% 1.53/0.52 % (4185100)Peak memory usage: 13 MB
% 1.53/0.52 % (4185100)Instructions burned: 147 (million)
% 1.53/0.52 % (4185110)Refutation not found, incomplete strategy
% 1.53/0.52 % (4185110)------------------------------
% 1.53/0.52 % (4185110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185105)Instruction limit reached!
% 1.53/0.52 % (4185105)------------------------------
% 1.53/0.52 % (4185105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185110)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185110)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.52 % (4185110)Time elapsed: 0.005 s
% 1.53/0.52 % (4185105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185110)Peak memory usage: 12 MB
% 1.53/0.52 % (4185110)Instructions burned: 9 (million)
% 1.53/0.52 % (4185105)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185105)Termination reason: Instruction limit
% 1.53/0.52 % (4185105)Termination phase: Saturation
% 1.53/0.52 % (4185105)Time elapsed: 0.020 s
% 1.53/0.52 % (4185105)Peak memory usage: 12 MB
% 1.53/0.52 % (4185105)Instructions burned: 44 (million)
% 1.53/0.52 % (4185110)------------------------------
% 1.53/0.52 % (4185110)------------------------------
% 1.53/0.52 % (4185114)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3972432426:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.53/0.52 % (4185108)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1443974708:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.53/0.52 % (4185097) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4185034-4185097"...
% 1.53/0.52 % (4185116)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4209944474:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.53/0.52 % (4185111)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.53/0.52 % (4185108)Refutation not found, incomplete strategy
% 1.53/0.52 % (4185108)------------------------------
% 1.53/0.52 % (4185108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185108)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185108)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.52 % (4185108)Time elapsed: 0.005 s
% 1.53/0.52 % (4185108)Peak memory usage: 12 MB
% 1.53/0.52 % (4185108)Instructions burned: 8 (million)
% 1.53/0.52 % (4185108)------------------------------
% 1.53/0.52 % (4185108)------------------------------
% 1.53/0.52 % (4185116)Instruction limit reached!
% 1.53/0.52 % (4185116)------------------------------
% 1.53/0.52 % (4185116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185116)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185116)Termination reason: Instruction limit
% 1.53/0.52 % (4185116)Termination phase: Saturation
% 1.53/0.52 % (4185116)Time elapsed: 0.005 s
% 1.53/0.52 % (4185116)Peak memory usage: 12 MB
% 1.53/0.52 % (4185116)Instructions burned: 20 (million)
% 1.53/0.52 % (4185111)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1737175791:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.53/0.52 % (4185114)Instruction limit reached!
% 1.53/0.52 % (4185114)------------------------------
% 1.53/0.52 % (4185114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185114)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185114)Termination reason: Instruction limit
% 1.53/0.52 % (4185114)Termination phase: Saturation
% 1.53/0.52 % (4185114)Time elapsed: 0.012 s
% 1.53/0.52 % (4185114)Peak memory usage: 12 MB
% 1.53/0.52 % (4185114)Instructions burned: 24 (million)
% 1.53/0.52 % (4185097)...printing done.
% 1.53/0.52 % (4185097)Refutation found. Thanks to Tanya!
% 1.53/0.52 % SZS status Theorem for theBenchmark
% 1.53/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.52 % (4185097)------------------------------
% 1.53/0.52 % (4185097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.52 % (4185097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.52 % (4185097)CaDiCaL version: 2.1.3
% 1.53/0.52 % (4185097)Termination reason: Refutation
% 1.53/0.52 % (4185097)Time elapsed: 0.039 s
% 1.53/0.52 % (4185097)Peak memory usage: 13 MB
% 1.53/0.52 % (4185097)Instructions burned: 76 (million)
% 1.53/0.52 % (4185034)Success in time 0.281 s
% 1.53/0.52 % Vampire exiting
%------------------------------------------------------------------------------