%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV426^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:39:56 AM UTC 2026
% Result : Theorem 9.20s 1.82s
% Output : Refutation 9.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 26
% Syntax : Number of formulae : 235 ( 74 unt; 0 typ; 13 def)
% Number of atoms : 2307 ( 436 equ; 0 cnn)
% Maximal formula atoms : 21 ( 9 avg)
% Number of connectives : 3305 ( 206 ~; 507 |; 0 &;2141 @)
% ( 12 <=>; 233 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 432 ( 432 >; 0 *; 0 +; 0 <<)
% Number of symbols : 79 ( 75 usr; 21 con; 0-4 aty)
% ( 206 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 870 ( 0 sgn 194 !; 0 ?; 870 :)
% 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,
rel: $i > $i > $o ).
thf(func_def_21,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(func_def_22,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
icl_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
icl_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
icl_true: $i > $o ).
thf(func_def_27,type,
icl_false: $i > $o ).
thf(func_def_28,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_29,type,
iclval: ( $i > $o ) > $o ).
thf(func_def_30,type,
s: $i > $o ).
thf(func_def_31,type,
t: $i > $o ).
thf(func_def_32,type,
a: $i > $o ).
thf(func_def_33,type,
vOR: $o > $o > $o ).
thf(func_def_34,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_38,type,
vNOT: $o > $o ).
thf(func_def_41,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_42,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_43,type,
vAND: $o > $o > $o ).
thf(func_def_44,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_45,type,
vIMP: $o > $o > $o ).
thf(func_def_46,type,
sF0: $o ).
thf(func_def_47,type,
sK1: $i > ( $i > $o ) > $i ).
thf(func_def_53,type,
sK7: $i > $i ).
thf(func_def_54,type,
sK8: $i > $i ).
thf(func_def_55,type,
sK9: $i > $i ).
thf(func_def_56,type,
sK10: $i > $i ).
thf(func_def_57,type,
sK11: $i > $i ).
thf(func_def_58,type,
sK12: $i > $i ).
thf(func_def_59,type,
sK13: $i > $i ).
thf(func_def_60,type,
sK14: $i > $i ).
thf(func_def_61,type,
sK15: $i > $i ).
thf(func_def_62,type,
sK16: $i > $i ).
thf(func_def_63,type,
sK17: $i > $i ).
thf(func_def_64,type,
sK18: $i > $i ).
thf(func_def_65,type,
sK19: $i > ( $i > $o ) > $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,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimpl ),
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(f12,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( ( ^ [X0: $i > $o] : ( mbox @ rel @ X0 ) )
= icl_atom ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_atom) ).
thf(f17,axiom,
( icl_princ
= ( ^ [X0: $i > $o] : X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_princ) ).
thf(f20,axiom,
( icl_impl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mimpl @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_impl) ).
thf(f23,axiom,
( icl_says
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ rel @ ( mor @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_says) ).
thf(f24,axiom,
( iclval
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^0.ax',icl_s4_valid) ).
thf(f25,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^1.ax',refl_axiom) ).
thf(f26,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV008^1.ax',trans_axiom) ).
thf(f27,conjecture,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_atom @ t ) ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ t ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cuc) ).
thf(f28,negated_conjecture,
~ ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_atom @ t ) ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ t ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
thf(f29,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f30,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f29]) ).
thf(f31,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f32,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f33,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) ),
inference(rectify,[],[f25]) ).
thf(f34,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) )
= $true ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
~ ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_atom @ t ) ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ t ) ) ) ) ),
inference(rectify,[],[f28]) ).
thf(f36,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_atom @ t ) ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ t ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f35]) ).
thf(f37,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f38,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f12]) ).
thf(f39,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f40,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) ),
inference(rectify,[],[f26]) ).
thf(f41,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(fool_elimination,[],[f40]) ).
thf(f44,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f45,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f48,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f17]) ).
thf(f53,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f54,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f53]) ).
thf(f55,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f66,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f20]) ).
thf(f68,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_atom @ t ) ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ t ) ) ) ) )
!= $true ),
inference(flattening,[],[f36]) ).
thf(f70,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f71,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f73,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f34]) ).
thf(f74,plain,
( icl_princ
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f48]) ).
thf(f75,plain,
( ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_impl @ ( icl_atom @ s ) @ ( icl_atom @ t ) ) ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ t ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f68]) ).
thf(f76,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f54]) ).
thf(f78,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ rel @ X0 ) @ ( mbox @ rel @ ( mbox @ rel @ X0 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f41]) ).
thf(f80,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f82,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f88,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ rel @ ( mor @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f91,plain,
( icl_atom
= ( ^ [Y0: $i > $o] : ( mbox @ rel @ Y0 ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f93,plain,
( iclval
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f95,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f98,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,[],[f71,f70,f82]) ).
thf(f100,plain,
( icl_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 ) ) ),
inference(definition_unfolding,[],[f91,f76]) ).
thf(f103,plain,
( icl_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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,[],[f80,f76,f98]) ).
thf(f106,plain,
( icl_says
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f88,f76,f70]) ).
thf(f107,plain,
( iclval
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f93,f95]) ).
thf(f108,plain,
! [X0: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [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 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 )
@ X0 ) ) ),
inference(definition_unfolding,[],[f73,f95,f98,f76]) ).
thf(f109,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) ) ) ) ),
inference(definition_unfolding,[],[f75,f107,f103,f106,f74,f103,f100,f100,f103,f106,f74,f100,f106,f74,f100]) ).
thf(f110,plain,
! [X0: $i > $o] :
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [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 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ rel
@ X0 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f78,f95,f98,f76,f76,f76]) ).
thf(f111,definition,
( sF0
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f112,plain,
( ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) ) ) )
= sF0 ),
inference(reorient_equations,[],[f111]) ).
thf(f113,plain,
$true != sF0,
inference(definition_folding,[],[f109,f112]) ).
thf(f114,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( X0 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f108]) ).
thf(f115,plain,
! [X0: $i > $o,X1: $i] :
( ( ^ [Y0: $i] :
( ( X0 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f114]) ).
thf(f116,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f115]) ).
thf(f117,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f116]) ).
thf(f118,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f117]) ).
thf(f119,plain,
! [X0: $i > $o,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK1 @ X1 @ X0 ) )
= $false )
| ( ( X0 @ X1 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f118]) ).
thf(f120,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ( rel @ X1 @ ( sK1 @ X1 @ X0 ) )
=> ( X0 @ ( sK1 @ X1 @ X0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f119]) ).
thf(f121,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ ( sK1 @ X1 @ X0 ) )
= $false )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f120]) ).
thf(f122,plain,
! [X0: $i > $o,X1: $i] :
( ( ( rel @ X1 @ ( sK1 @ X1 @ X0 ) )
= $true )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f120]) ).
thf(f124,plain,
( ( $false
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [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 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ s ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ rel
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ rel
@ Y0 )
@ t ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(iff_proxy_clausification,[],[f112]) ).
thf(f125,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( t @ Y4 ) ) )
| ( a @ Y3 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) )
| ( a @ Y3 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( t @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) )
| ( a @ Y2 ) ) ) ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f126,plain,
( ( $true = sF0 )
| ( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( t @ Y4 ) ) )
| ( a @ Y3 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) )
| ( a @ Y3 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( t @ Y4 ) ) )
| ~ ( !! @ $i
@ ^ [Y4: $i] :
( ( rel @ Y3 @ Y4 )
=> ( s @ Y4 ) ) ) ) ) )
| ( a @ Y2 ) ) ) ) ) ) )
@ sK2 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f125]) ).
thf(f127,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) )
| ( a @ Y2 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) )
| ( a @ Y2 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) )
| ( a @ Y1 ) ) ) ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f126]) ).
thf(f128,plain,
( ( ( ^ [Y0: $i] :
( ( rel @ sK2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) )
| ( a @ Y2 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) )
| ( a @ Y2 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( t @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( rel @ Y2 @ Y3 )
=> ( s @ Y3 ) ) ) ) ) )
| ( a @ Y1 ) ) ) ) ) )
@ sK3 )
= $false )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f127]) ).
thf(f129,plain,
( ( $true = sF0 )
| ( $false
= ( ( rel @ sK2 @ sK3 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ( a @ Y1 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( a @ Y1 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( a @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f128]) ).
thf(f130,plain,
( ( $true = sF0 )
| ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ( a @ Y1 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( a @ Y1 ) ) ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( a @ Y0 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f129]) ).
thf(f132,plain,
( ( $true = sF0 )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( a @ Y0 ) ) ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f130]) ).
thf(f133,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ( a @ Y1 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( a @ Y1 ) ) ) ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f130]) ).
thf(f134,plain,
( ( ( ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ( a @ Y1 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) )
| ( a @ Y1 ) ) ) ) ) )
@ sK4 )
= $false )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f133]) ).
thf(f135,plain,
( ( $true = sF0 )
| ( $false
= ( ( rel @ sK3 @ sK4 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ( a @ Y0 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f134]) ).
thf(f136,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ( a @ Y0 ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f135]) ).
thf(f137,plain,
( ( $true
= ( rel @ sK3 @ sK4 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f135]) ).
thf(f138,plain,
( ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) ) ) ) )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f136]) ).
thf(f139,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ( a @ Y0 ) ) ) )
= $false )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f136]) ).
thf(f140,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ( a @ Y0 ) ) )
@ sK5 ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f139]) ).
thf(f141,plain,
( ( $true = sF0 )
| ( $false
= ( ( rel @ sK4 @ sK5 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( t @ Y0 ) ) )
| ( a @ sK5 ) ) ) ) ),
inference(beta-eta_normalization,[],[f140]) ).
thf(f142,plain,
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( t @ Y0 ) ) )
| ( a @ sK5 ) )
= $false )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f141]) ).
thf(f143,plain,
( ( $true = sF0 )
| ( $true
= ( rel @ sK4 @ sK5 ) ) ),
inference(imp_proxy_clausification,[],[f141]) ).
thf(f144,plain,
( ( ( a @ sK5 )
= $false )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f142]) ).
thf(f145,plain,
( ( $true = sF0 )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( t @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f142]) ).
thf(f146,plain,
( ( $true = sF0 )
| ( ( ^ [Y0: $i] :
( ( rel @ sK5 @ Y0 )
=> ( t @ Y0 ) )
@ sK6 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f145]) ).
thf(f147,plain,
( ( $false
= ( ( rel @ sK5 @ sK6 )
=> ( t @ sK6 ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f148,plain,
( ( ( t @ sK6 )
= $false )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f149,plain,
( ( ( rel @ sK5 @ sK6 )
= $true )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f147]) ).
thf(f150,plain,
( ( $true = sF0 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f138]) ).
thf(f151,plain,
! [X1: $i] :
( ( $true = sF0 )
| ( ( ^ [Y0: $i] :
( ( rel @ sK4 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) )
| ( a @ Y0 ) ) )
@ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f150]) ).
thf(f152,plain,
! [X1: $i] :
( ( $true = sF0 )
| ( ( ( rel @ sK4 @ X1 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) )
| ( a @ X1 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f151]) ).
thf(f153,plain,
! [X1: $i] :
( ( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) )
| ( a @ X1 ) ) )
| ( $false
= ( rel @ sK4 @ X1 ) )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f152]) ).
thf(f154,plain,
! [X1: $i] :
( ( $true = sF0 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) ) )
= $true )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( rel @ sK4 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f155,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( s @ Y0 ) )
@ X2 )
= $true )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( rel @ sK4 @ X1 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f154]) ).
thf(f156,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK4 @ X1 ) )
| ( $true
= ( a @ X1 ) )
| ( $true
= ( ( rel @ X1 @ X2 )
=> ( s @ X2 ) ) )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f155]) ).
thf(f157,plain,
! [X2: $i,X1: $i] :
( ( ( s @ X2 )
= $true )
| ( $true
= ( a @ X1 ) )
| ( $true = sF0 )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( rel @ sK4 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f156]) ).
thf(f158,plain,
( ( $true = sF0 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( a @ Y0 ) ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f132]) ).
thf(f159,plain,
! [X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ sK3 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( t @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( s @ Y2 ) ) ) ) ) )
| ( a @ Y0 ) ) )
@ X1 )
= $true )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f158]) ).
thf(f160,plain,
! [X1: $i] :
( ( ( ( rel @ sK3 @ X1 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
| ( a @ X1 ) ) )
= $true )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f159]) ).
thf(f161,plain,
! [X1: $i] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
| ( a @ X1 ) )
= $true )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f160]) ).
thf(f162,plain,
! [X1: $i] :
( ( $true
= ( a @ X1 ) )
| ( $true = sF0 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) ) )
= $true )
| ( ( rel @ sK3 @ X1 )
= $false ) ),
inference(or_proxy_clausification,[],[f161]) ).
thf(f163,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( a @ X1 ) )
| ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( t @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( s @ Y1 ) ) ) ) )
@ X2 )
= $true )
| ( $true = sF0 )
| ( ( rel @ sK3 @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f162]) ).
thf(f164,plain,
! [X2: $i,X1: $i] :
( ( $true = sF0 )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( ( rel @ X1 @ X2 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( t @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) ) ) ) )
| ( $true
= ( a @ X1 ) ) ),
inference(beta-eta_normalization,[],[f163]) ).
thf(f165,plain,
! [X2: $i,X1: $i] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( t @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) ) )
= $true )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f164]) ).
thf(f166,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( t @ Y0 ) ) )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true = sF0 )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) ) )
= $true )
| ( $true
= ( a @ X1 ) ) ),
inference(or_proxy_clausification,[],[f165]) ).
thf(f167,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) ) )
= $true )
| ( $true = sF0 )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( t @ Y0 ) )
@ X3 ) )
| ( $true
= ( a @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f166]) ).
thf(f168,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) ) ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true = sF0 )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( t @ Y0 ) )
@ X3 ) ) ),
inference(not_proxy_clausification,[],[f167]) ).
thf(f169,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true = sF0 )
| ( ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( s @ Y0 ) )
@ ( sK7 @ X2 ) )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( t @ Y0 ) )
@ X3 ) )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f168]) ).
thf(f170,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( ( rel @ X2 @ X3 )
=> ( t @ X3 ) ) )
| ( ( ( rel @ X2 @ ( sK7 @ X2 ) )
=> ( s @ ( sK7 @ X2 ) ) )
= $false )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true = sF0 )
| ( $true
= ( a @ X1 ) ) ),
inference(beta-eta_normalization,[],[f169]) ).
thf(f171,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( rel @ sK3 @ X1 )
= $false )
| ( ( rel @ X2 @ X3 )
= $false )
| ( ( t @ X3 )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( a @ X1 ) )
| ( ( ( rel @ X2 @ ( sK7 @ X2 ) )
=> ( s @ ( sK7 @ X2 ) ) )
= $false )
| ( $true = sF0 ) ),
inference(imp_proxy_clausification,[],[f170]) ).
thf(f172,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( rel @ sK3 @ X1 )
= $false )
| ( $false
= ( s @ ( sK7 @ X2 ) ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( t @ X3 )
= $true )
| ( ( rel @ X2 @ X3 )
= $false )
| ( $true = sF0 )
| ( $true
= ( a @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f171]) ).
thf(f173,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( rel @ X2 @ ( sK7 @ X2 ) )
= $true )
| ( ( rel @ X2 @ X3 )
= $false )
| ( ( t @ X3 )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true = sF0 )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f171]) ).
thf(f317,plain,
! [X0: $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f110]) ).
thf(f318,plain,
! [X0: $i > $o,X1: $i] :
( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( rel @ Y1 @ Y2 )
=> ( X0 @ Y2 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f317]) ).
thf(f319,plain,
! [X0: $i > $o,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f318]) ).
thf(f320,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) ) ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f319]) ).
thf(f321,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f320]) ).
thf(f322,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f321]) ).
thf(f323,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( rel @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) ) )
@ X2 )
= $true )
| ( ( ^ [Y0: $i] :
( ( rel @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK19 @ X1 @ X0 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f322]) ).
thf(f324,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( ( rel @ X1 @ ( sK19 @ X1 @ X0 ) )
=> ( X0 @ ( sK19 @ X1 @ X0 ) ) )
= $false )
| ( ( ( rel @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f323]) ).
thf(f325,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( ( rel @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true )
| ( $false
= ( X0 @ ( sK19 @ X1 @ X0 ) ) ) ),
inference(imp_proxy_clausification,[],[f324]) ).
thf(f326,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( ( rel @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true )
| ( ( rel @ X1 @ ( sK19 @ X1 @ X0 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f324]) ).
thf(f327,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( ( rel @ X1 @ ( sK19 @ X1 @ X0 ) )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f326]) ).
thf(f328,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( ( rel @ X1 @ ( sK19 @ X1 @ X0 ) )
= $true )
| ( ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f327]) ).
thf(f329,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ( rel @ X2 @ X3 )
=> ( X0 @ X3 ) ) )
| ( ( rel @ X1 @ ( sK19 @ X1 @ X0 ) )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f328]) ).
thf(f330,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( ( rel @ X1 @ ( sK19 @ X1 @ X0 ) )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X3 )
= $true )
| ( ( rel @ X2 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f329]) ).
thf(f331,plain,
! [X2: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
| ( $false
= ( X0 @ ( sK19 @ X1 @ X0 ) ) )
| ( $false
= ( rel @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f325]) ).
thf(f332,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( rel @ X2 @ Y0 )
=> ( X0 @ Y0 ) )
@ X3 )
= $true )
| ( $false
= ( X0 @ ( sK19 @ X1 @ X0 ) ) )
| ( $false
= ( rel @ X1 @ X2 ) ) ),
inference(pi_proxy_clausification,[],[f331]) ).
thf(f333,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $true
= ( ( rel @ X2 @ X3 )
=> ( X0 @ X3 ) ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( X0 @ ( sK19 @ X1 @ X0 ) ) ) ),
inference(beta-eta_normalization,[],[f332]) ).
thf(f334,plain,
! [X2: $i,X3: $i,X0: $i > $o,X1: $i] :
( ( $false
= ( X0 @ ( sK19 @ X1 @ X0 ) ) )
| ( ( rel @ X2 @ X3 )
= $false )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( X0 @ X3 )
= $true ) ),
inference(imp_proxy_clausification,[],[f333]) ).
thf(f336,definition,
( spl20_1
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
thf(f345,definition,
( spl20_3
<=> ( $true
= ( rel @ sK3 @ sK4 ) ) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
thf(f347,plain,
( ( $true
= ( rel @ sK3 @ sK4 ) )
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f345]) ).
thf(f348,plain,
( spl20_3
| spl20_1 ),
inference(avatar_split_clause,[],[f137,f336,f345]) ).
thf(f350,definition,
( spl20_4
<=> ( $true
= ( rel @ sK4 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
thf(f352,plain,
( ( $true
= ( rel @ sK4 @ sK5 ) )
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f350]) ).
thf(f353,plain,
( spl20_1
| spl20_4 ),
inference(avatar_split_clause,[],[f143,f350,f336]) ).
thf(f355,definition,
( spl20_5
<=> ( ( rel @ sK5 @ sK6 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
thf(f357,plain,
( ( ( rel @ sK5 @ sK6 )
= $true )
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f355]) ).
thf(f358,plain,
( spl20_5
| spl20_1 ),
inference(avatar_split_clause,[],[f149,f336,f355]) ).
thf(f360,definition,
( spl20_6
<=> ( ( t @ sK6 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).
thf(f362,plain,
( ( ( t @ sK6 )
= $false )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f360]) ).
thf(f363,plain,
( spl20_1
| spl20_6 ),
inference(avatar_split_clause,[],[f148,f360,f336]) ).
thf(f365,definition,
( spl20_7
<=> ( ( a @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).
thf(f367,plain,
( ( ( a @ sK5 )
= $false )
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f365]) ).
thf(f368,plain,
( spl20_1
| spl20_7 ),
inference(avatar_split_clause,[],[f144,f365,f336]) ).
thf(f370,definition,
( spl20_8
<=> ! [X2: $i,X1: $i] :
( ( ( s @ X2 )
= $true )
| ( $false
= ( rel @ sK4 @ X1 ) )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).
thf(f371,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( rel @ sK4 @ X1 ) )
| ( ( s @ X2 )
= $true )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( rel @ X1 @ X2 ) ) )
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f370]) ).
thf(f372,plain,
( spl20_1
| spl20_8 ),
inference(avatar_split_clause,[],[f157,f370,f336]) ).
thf(f374,definition,
( spl20_9
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( rel @ X2 @ ( sK7 @ X2 ) )
= $true )
| ( $true
= ( a @ X1 ) )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( t @ X3 )
= $true )
| ( ( rel @ X2 @ X3 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition]) ).
thf(f375,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( rel @ X2 @ ( sK7 @ X2 ) )
= $true )
| ( ( t @ X3 )
= $true )
| ( ( rel @ X2 @ X3 )
= $false )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) ) )
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f374]) ).
thf(f376,plain,
( spl20_9
| spl20_1 ),
inference(avatar_split_clause,[],[f173,f336,f374]) ).
thf(f378,definition,
( spl20_10
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( ( rel @ X2 @ X3 )
= $false )
| ( ( t @ X3 )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( $false
= ( s @ ( sK7 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).
thf(f379,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( rel @ X1 @ X2 ) )
| ( ( t @ X3 )
= $true )
| ( ( rel @ X2 @ X3 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( $false
= ( s @ ( sK7 @ X2 ) ) )
| ( ( rel @ sK3 @ X1 )
= $false ) )
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f378]) ).
thf(f380,plain,
( spl20_10
| spl20_1 ),
inference(avatar_split_clause,[],[f172,f336,f378]) ).
thf(f481,plain,
~ spl20_1,
inference(avatar_split_clause,[],[f113,f336]) ).
thf(f501,plain,
! [X0: $i] :
( ( $false = $true )
| ( ( rel @ X0 @ X0 )
= $true )
| ( ( rel @ X0 @ X0 )
= $true ) ),
inference(constrained_superposition,[],[f122,f121]) ).
thf(f503,plain,
! [X0: $i] :
( ( ( rel @ X0 @ X0 )
= $true )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[],[f501]) ).
thf(f504,plain,
! [X0: $i] :
( ( rel @ X0 @ X0 )
= $true ),
inference(trivial_inequality_removal,[],[f503]) ).
thf(f513,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( ( s @ X0 )
= $true )
| ( ( a @ sK5 )
= $true )
| ( ( rel @ sK5 @ X0 )
= $false ) )
| ~ spl20_4
| ~ spl20_8 ),
inference(constrained_superposition,[],[f352,f371]) ).
thf(f515,plain,
( ! [X0: $i] :
( ( ( a @ sK5 )
= $true )
| ( ( rel @ sK5 @ X0 )
= $false )
| ( ( s @ X0 )
= $true ) )
| ~ spl20_4
| ~ spl20_8 ),
inference(trivial_inequality_removal,[],[f513]) ).
thf(f523,plain,
( ! [X0: $i] :
( ( ( rel @ sK5 @ X0 )
= $false )
| ( ( s @ X0 )
= $true )
| ( $false = $true ) )
| ~ spl20_4
| ~ spl20_7
| ~ spl20_8 ),
inference(forward_demodulation,[],[f515,f367]) ).
thf(f524,plain,
( ! [X0: $i] :
( ( ( rel @ sK5 @ X0 )
= $false )
| ( ( s @ X0 )
= $true ) )
| ~ spl20_4
| ~ spl20_7
| ~ spl20_8 ),
inference(trivial_inequality_removal,[],[f523]) ).
thf(f572,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false = $true )
| ( ( rel @ X0 @ X2 )
= $true )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( rel @ X0 @ X3 )
= $false )
| ( ( rel @ X0 @ X4 )
= $true )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false
= ( rel @ X3 @ X4 ) ) ),
inference(constrained_superposition,[],[f330,f334]) ).
thf(f583,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false
= ( rel @ X3 @ X4 ) )
| ( $false
= ( rel @ X1 @ X2 ) )
| ( ( rel @ X0 @ X2 )
= $true )
| ( ( rel @ X0 @ X3 )
= $false )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( ( rel @ X0 @ X4 )
= $true ) ),
inference(trivial_inequality_removal,[],[f572]) ).
thf(f668,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( rel @ X2 @ X1 )
= $true )
| ( ( rel @ X2 @ X0 )
= $false )
| ( $false != $false )
| ( ( rel @ X2 @ X0 )
= $false )
| ( ( rel @ X2 @ X1 )
= $true )
| ( $false
= ( rel @ X0 @ X1 ) ) ),
inference(equality_factoring,[],[f583]) ).
thf(f679,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X0 @ X1 ) )
| ( $false != $false )
| ( ( rel @ X2 @ X1 )
= $true )
| ( ( rel @ X2 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[],[f668]) ).
thf(f680,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( rel @ X0 @ X1 ) )
| ( ( rel @ X2 @ X1 )
= $true )
| ( ( rel @ X2 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f679]) ).
thf(f698,plain,
( ! [X0: $i] :
( ( ( rel @ X0 @ sK5 )
= $true )
| ( $false = $true )
| ( $false
= ( rel @ X0 @ sK4 ) ) )
| ~ spl20_4 ),
inference(constrained_superposition,[],[f680,f352]) ).
thf(f710,plain,
( ! [X0: $i] :
( ( $false
= ( rel @ X0 @ sK4 ) )
| ( ( rel @ X0 @ sK5 )
= $true ) )
| ~ spl20_4 ),
inference(trivial_inequality_removal,[],[f698]) ).
thf(f831,plain,
( ( ( rel @ sK3 @ sK5 )
= $true )
| ( $false = $true )
| ~ spl20_3
| ~ spl20_4 ),
inference(constrained_superposition,[],[f710,f347]) ).
thf(f840,plain,
( ( ( rel @ sK3 @ sK5 )
= $true )
| ~ spl20_3
| ~ spl20_4 ),
inference(trivial_inequality_removal,[],[f831]) ).
thf(f1244,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( s @ ( sK7 @ X0 ) ) )
| ( ( a @ X0 )
= $true )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( $false = $true )
| ( $false
= ( rel @ sK3 @ X0 ) )
| ( ( t @ X1 )
= $true ) )
| ~ spl20_10 ),
inference(constrained_superposition,[],[f379,f504]) ).
thf(f1298,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( rel @ sK3 @ X0 ) )
| ( $false
= ( s @ ( sK7 @ X0 ) ) )
| ( ( t @ X1 )
= $true )
| ( $false
= ( rel @ X0 @ X1 ) )
| ( ( a @ X0 )
= $true ) )
| ~ spl20_10 ),
inference(trivial_inequality_removal,[],[f1244]) ).
thf(f1331,definition,
( spl20_54
<=> ! [X2: $i] :
( ( $true
= ( t @ X2 ) )
| ( ( rel @ sK5 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl20_54])],[avatar_definition]) ).
thf(f1332,plain,
( ! [X2: $i] :
( ( ( rel @ sK5 @ X2 )
= $false )
| ( $true
= ( t @ X2 ) ) )
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f1331]) ).
thf(f1334,definition,
( spl20_55
<=> ( $false
= ( s @ ( sK7 @ sK5 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl20_55])],[avatar_definition]) ).
thf(f1335,plain,
( ( $false
!= ( s @ ( sK7 @ sK5 ) ) )
| spl20_55 ),
inference(avatar_component_clause,[],[f1334]) ).
thf(f1336,plain,
( ( $false
= ( s @ ( sK7 @ sK5 ) ) )
| ~ spl20_55 ),
inference(avatar_component_clause,[],[f1334]) ).
thf(f1721,plain,
( ! [X0: $i,X1: $i] :
( ( $false = $true )
| ( ( rel @ X1 @ sK5 )
= $false )
| ( ( rel @ sK5 @ X0 )
= $false )
| ( $true
= ( s @ ( sK7 @ sK5 ) ) )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( ( t @ X0 )
= $true )
| ( $true
= ( a @ X1 ) ) )
| ~ spl20_4
| ~ spl20_7
| ~ spl20_8
| ~ spl20_9 ),
inference(constrained_superposition,[],[f375,f524]) ).
thf(f1743,plain,
( ! [X0: $i,X1: $i] :
( ( ( t @ X0 )
= $true )
| ( $true
= ( s @ ( sK7 @ sK5 ) ) )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( ( rel @ X1 @ sK5 )
= $false )
| ( ( rel @ sK5 @ X0 )
= $false ) )
| ~ spl20_4
| ~ spl20_7
| ~ spl20_8
| ~ spl20_9 ),
inference(trivial_inequality_removal,[],[f1721]) ).
thf(f1786,plain,
( ! [X0: $i,X1: $i] :
( ( ( rel @ sK3 @ X1 )
= $false )
| ( ( rel @ X1 @ sK5 )
= $false )
| ( ( t @ X0 )
= $true )
| ( ( rel @ sK5 @ X0 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( $false = $true ) )
| ~ spl20_4
| ~ spl20_7
| ~ spl20_8
| ~ spl20_9
| ~ spl20_55 ),
inference(forward_demodulation,[],[f1743,f1336]) ).
thf(f1787,plain,
( ! [X0: $i,X1: $i] :
( ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( ( rel @ sK5 @ X0 )
= $false )
| ( ( rel @ X1 @ sK5 )
= $false )
| ( ( t @ X0 )
= $true ) )
| ~ spl20_4
| ~ spl20_7
| ~ spl20_8
| ~ spl20_9
| ~ spl20_55 ),
inference(trivial_inequality_removal,[],[f1786]) ).
thf(f1792,definition,
( spl20_81
<=> ! [X1: $i] :
( ( ( rel @ X1 @ sK5 )
= $false )
| ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl20_81])],[avatar_definition]) ).
thf(f1793,plain,
( ! [X1: $i] :
( ( ( rel @ sK3 @ X1 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( ( rel @ X1 @ sK5 )
= $false ) )
| ~ spl20_81 ),
inference(avatar_component_clause,[],[f1792]) ).
thf(f1795,plain,
( spl20_54
| spl20_81
| ~ spl20_4
| ~ spl20_7
| ~ spl20_8
| ~ spl20_9
| ~ spl20_55 ),
inference(avatar_split_clause,[],[f1787,f1334,f374,f370,f365,f350,f1792,f1331]) ).
thf(f1958,plain,
( ( ( t @ sK6 )
= $true )
| ( $false = $true )
| ~ spl20_5
| ~ spl20_54 ),
inference(constrained_superposition,[],[f1332,f357]) ).
thf(f1994,plain,
( ( ( t @ sK6 )
= $true )
| ~ spl20_5
| ~ spl20_54 ),
inference(trivial_inequality_removal,[],[f1958]) ).
thf(f2006,plain,
( ( $false = $true )
| ~ spl20_5
| ~ spl20_6
| ~ spl20_54 ),
inference(forward_demodulation,[],[f1994,f362]) ).
thf(f2007,plain,
( $false
| ~ spl20_5
| ~ spl20_6
| ~ spl20_54 ),
inference(trivial_inequality_removal,[],[f2006]) ).
thf(f2008,plain,
( ~ spl20_5
| ~ spl20_6
| ~ spl20_54 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
thf(f2234,plain,
( ( ( a @ sK5 )
= $true )
| ( ( rel @ sK5 @ sK5 )
= $false )
| ( $false = $true )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_81 ),
inference(constrained_superposition,[],[f840,f1793]) ).
thf(f2254,plain,
( ( ( a @ sK5 )
= $true )
| ( ( rel @ sK5 @ sK5 )
= $false )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_81 ),
inference(trivial_inequality_removal,[],[f2234]) ).
thf(f2272,plain,
( ( ( rel @ sK5 @ sK5 )
= $false )
| ( $false = $true )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_81 ),
inference(forward_demodulation,[],[f2254,f367]) ).
thf(f2273,plain,
( ( ( rel @ sK5 @ sK5 )
= $false )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_81 ),
inference(trivial_inequality_removal,[],[f2272]) ).
thf(f2285,plain,
( ( $false = $true )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_81 ),
inference(forward_demodulation,[],[f2273,f504]) ).
thf(f2286,plain,
( $false
| ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_81 ),
inference(trivial_inequality_removal,[],[f2285]) ).
thf(f2287,plain,
( ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_81 ),
inference(avatar_contradiction_clause,[],[f2286]) ).
thf(f2461,plain,
( ! [X0: $i] :
( ( $false = $true )
| ( ( t @ X0 )
= $true )
| ( $false
= ( s @ ( sK7 @ sK5 ) ) )
| ( ( a @ sK5 )
= $true )
| ( ( rel @ sK5 @ X0 )
= $false ) )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_10 ),
inference(constrained_superposition,[],[f840,f1298]) ).
thf(f2471,plain,
( ! [X0: $i] :
( ( ( rel @ sK5 @ X0 )
= $false )
| ( $false
= ( s @ ( sK7 @ sK5 ) ) )
| ( ( t @ X0 )
= $true )
| ( ( a @ sK5 )
= $true ) )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_10 ),
inference(trivial_inequality_removal,[],[f2461]) ).
thf(f2500,plain,
( ! [X0: $i] :
( ( ( a @ sK5 )
= $true )
| ( ( t @ X0 )
= $true )
| ( ( rel @ sK5 @ X0 )
= $false ) )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_10
| spl20_55 ),
inference(forward_subsumption_resolution,[],[f2471,f1335]) ).
thf(f2507,plain,
( ! [X0: $i] :
( ( ( t @ X0 )
= $true )
| ( ( rel @ sK5 @ X0 )
= $false )
| ( $false = $true ) )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_10
| spl20_55 ),
inference(forward_demodulation,[],[f2500,f367]) ).
thf(f2508,plain,
( ! [X0: $i] :
( ( ( t @ X0 )
= $true )
| ( ( rel @ sK5 @ X0 )
= $false ) )
| ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_10
| spl20_55 ),
inference(trivial_inequality_removal,[],[f2507]) ).
thf(f2518,plain,
( spl20_54
| ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_10
| spl20_55 ),
inference(avatar_split_clause,[],[f2508,f1334,f378,f365,f350,f345,f1331]) ).
cnf(s2,plain,
( spl20_1
| spl20_3 ),
inference(sat_conversion,[],[f348]) ).
cnf(s3,plain,
( spl20_1
| spl20_4 ),
inference(sat_conversion,[],[f353]) ).
cnf(s4,plain,
( spl20_1
| spl20_5 ),
inference(sat_conversion,[],[f358]) ).
cnf(s5,plain,
( spl20_1
| spl20_6 ),
inference(sat_conversion,[],[f363]) ).
cnf(s6,plain,
( spl20_1
| spl20_7 ),
inference(sat_conversion,[],[f368]) ).
cnf(s7,plain,
( spl20_1
| spl20_8 ),
inference(sat_conversion,[],[f372]) ).
cnf(s8,plain,
( spl20_1
| spl20_9 ),
inference(sat_conversion,[],[f376]) ).
cnf(s9,plain,
( spl20_1
| spl20_10 ),
inference(sat_conversion,[],[f380]) ).
cnf(s34,plain,
~ spl20_1,
inference(sat_conversion,[],[f481]) ).
cnf(s119,plain,
( ~ spl20_4
| ~ spl20_7
| ~ spl20_8
| ~ spl20_9
| spl20_54
| ~ spl20_55
| spl20_81 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s156,plain,
( ~ spl20_5
| ~ spl20_6
| ~ spl20_54 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s171,plain,
( ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_81 ),
inference(sat_conversion,[],[f2287]) ).
cnf(s177,plain,
( ~ spl20_3
| ~ spl20_4
| ~ spl20_7
| ~ spl20_10
| spl20_54
| spl20_55 ),
inference(sat_conversion,[],[f2518]) ).
cnf(s183,plain,
spl20_10,
inference(rat,[],[s9,s34]) ).
cnf(s184,plain,
spl20_9,
inference(rat,[],[s8,s34]) ).
cnf(s185,plain,
spl20_8,
inference(rat,[],[s7,s34]) ).
cnf(s186,plain,
spl20_7,
inference(rat,[],[s6,s34]) ).
cnf(s187,plain,
spl20_6,
inference(rat,[],[s5,s34]) ).
cnf(s189,plain,
spl20_5,
inference(rat,[],[s4,s34]) ).
cnf(s190,plain,
~ spl20_54,
inference(rat,[],[s156,s187,s189]) ).
cnf(s191,plain,
spl20_4,
inference(rat,[],[s3,s34]) ).
cnf(s194,plain,
spl20_3,
inference(rat,[],[s2,s34]) ).
cnf(s195,plain,
spl20_55,
inference(rat,[],[s177,s191,s190,s183,s186,s194]) ).
cnf(s196,plain,
~ spl20_81,
inference(rat,[],[s171,s191,s186,s194]) ).
cnf(s199,plain,
$false,
inference(rat,[],[s119,s191,s190,s186,s184,s185,s196,s195]) ).
thf(f2522,plain,
$false,
inference(avatar_sat_refutation,[],[s199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV426^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 % Computer : n017.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Sep 29 15:56:23 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 Running higher-order theorem proving
% 0.11/0.27 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
% 1.05/0.43 % (505261)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.05/0.43 % (505268)lrs+10_16_si=on:nwc=1.5:random_seed=3632958563:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.05/0.43 % (505268)Instruction limit reached!
% 1.05/0.43 % (505268)------------------------------
% 1.05/0.43 % (505268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.43 % (505268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.43 % (505268)CaDiCaL version: 2.1.3
% 1.05/0.43 % (505268)Termination reason: Instruction limit
% 1.05/0.43 % (505268)Termination phase: Saturation
% 1.05/0.43 % (505268)Time elapsed: 0.006 s
% 1.05/0.43 % (505268)Peak memory usage: 12 MB
% 1.05/0.43 % (505268)Instructions burned: 19 (million)
% 1.05/0.43 % (505273)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.05/0.43 % (505273)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.05/0.43 % (505279)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1526986798:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.05/0.43 % (505270)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=1381656204: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)
% 1.05/0.43 % (505279)Instruction limit reached!
% 1.05/0.43 % (505279)------------------------------
% 1.05/0.43 % (505279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.43 % (505279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.43 % (505279)CaDiCaL version: 2.1.3
% 1.05/0.43 % (505279)Termination reason: Instruction limit
% 1.05/0.43 % (505279)Termination phase: Function definition elimination
% 1.05/0.43 % (505279)Time elapsed: 0.001 s
% 1.05/0.43 % (505279)Peak memory usage: 10 MB
% 1.05/0.43 % (505279)Instructions burned: 3 (million)
% 1.05/0.43 % (505271)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=331246109:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.05/0.43 % (505272)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=900299115:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.05/0.43 % (505269)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2667679898:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.05/0.43 % (505273)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=3929694687:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.05/0.43 % (505267)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=192198934:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.05/0.43 % (505269)Instruction limit reached!
% 1.05/0.43 % (505269)------------------------------
% 1.05/0.43 % (505269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.43 % (505269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.43 % (505269)CaDiCaL version: 2.1.3
% 1.05/0.43 % (505269)Termination reason: Instruction limit
% 1.05/0.43 % (505269)Termination phase: Saturation
% 1.05/0.43 % (505269)Time elapsed: 0.004 s
% 1.05/0.43 % (505269)Peak memory usage: 10 MB
% 1.05/0.43 % (505269)Instructions burned: 4 (million)
% 1.05/0.43 % (505287)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1728480437:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.05/0.43 % (505287)Instruction limit reached!
% 1.05/0.43 % (505287)------------------------------
% 1.05/0.43 % (505287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.43 % (505287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.43 % (505287)CaDiCaL version: 2.1.3
% 1.05/0.43 % (505287)Termination reason: Instruction limit
% 1.05/0.43 % (505287)Termination phase: Property scanning
% 1.05/0.43 % (505287)Time elapsed: 0.002 s
% 1.05/0.43 % (505287)Peak memory usage: 11 MB
% 1.05/0.43 % (505287)Instructions burned: 5 (million)
% 1.05/0.43 % (505271)Instruction limit reached!
% 1.05/0.46 % (505271)------------------------------
% 1.05/0.46 % (505271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.46 % (505271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.46 % (505271)CaDiCaL version: 2.1.3
% 1.05/0.46 % (505271)Termination reason: Instruction limit
% 1.05/0.46 % (505271)Termination phase: Saturation
% 1.05/0.46 % (505271)Time elapsed: 0.022 s
% 1.05/0.46 % (505271)Peak memory usage: 11 MB
% 1.05/0.46 % (505271)Instructions burned: 24 (million)
% 1.05/0.46 % (505292)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.05/0.46 % (505298)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3414046273:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.05/0.46 % (505292)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4284343589:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.05/0.46 % (505298)Instruction limit reached!
% 1.05/0.46 % (505298)------------------------------
% 1.05/0.46 % (505298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.46 % (505298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.46 % (505298)CaDiCaL version: 2.1.3
% 1.05/0.46 % (505298)Termination reason: Instruction limit
% 1.05/0.46 % (505298)Termination phase: Saturation
% 1.05/0.46 % (505298)Time elapsed: 0.006 s
% 1.05/0.46 % (505298)Peak memory usage: 12 MB
% 1.05/0.46 % (505298)Instructions burned: 13 (million)
% 1.05/0.46 % (505292)Instruction limit reached!
% 1.05/0.46 % (505292)------------------------------
% 1.05/0.46 % (505292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.46 % (505292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.46 % (505292)CaDiCaL version: 2.1.3
% 1.05/0.46 % (505292)Termination reason: Instruction limit
% 1.05/0.46 % (505292)Termination phase: Saturation
% 1.05/0.46 % (505292)Time elapsed: 0.006 s
% 1.05/0.46 % (505292)Peak memory usage: 12 MB
% 1.05/0.46 % (505292)Instructions burned: 7 (million)
% 1.05/0.46 % (505300)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.05/0.46 % (505300)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.05/0.46 % (505300)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3035195576:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.05/0.46 % (505309)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=2228698722:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.05/0.46 % (505272)Instruction limit reached!
% 1.05/0.46 % (505272)------------------------------
% 1.05/0.46 % (505272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.46 % (505272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.46 % (505272)CaDiCaL version: 2.1.3
% 1.05/0.46 % (505272)Termination reason: Instruction limit
% 1.05/0.46 % (505272)Termination phase: Saturation
% 1.05/0.46 % (505272)Time elapsed: 0.064 s
% 1.05/0.46 % (505272)Peak memory usage: 12 MB
% 1.05/0.46 % (505272)Instructions burned: 75 (million)
% 1.05/0.46 % (505300)Instruction limit reached!
% 1.05/0.46 % (505300)------------------------------
% 1.05/0.46 % (505300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.46 % (505300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.46 % (505300)CaDiCaL version: 2.1.3
% 1.05/0.46 % (505300)Termination reason: Instruction limit
% 1.05/0.46 % (505300)Termination phase: Saturation
% 1.05/0.46 % (505300)Time elapsed: 0.017 s
% 1.05/0.46 % (505300)Peak memory usage: 12 MB
% 1.05/0.46 % (505300)Instructions burned: 28 (million)
% 1.05/0.46 % (505267)Instruction limit reached!
% 1.05/0.46 % (505267)------------------------------
% 1.05/0.46 % (505267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.46 % (505267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (505267)CaDiCaL version: 2.1.3
% 1.05/0.51 % (505267)Termination reason: Instruction limit
% 1.05/0.51 % (505267)Termination phase: Saturation
% 1.05/0.51 % (505267)Time elapsed: 0.074 s
% 1.05/0.51 % (505267)Peak memory usage: 12 MB
% 1.05/0.51 % (505267)Instructions burned: 87 (million)
% 1.05/0.51 % (505310)lrs+10_1_si=on:cs=on:random_seed=3135774850:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.05/0.51 % (505310)Instruction limit reached!
% 1.05/0.51 % (505310)------------------------------
% 1.05/0.51 % (505310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (505310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (505310)CaDiCaL version: 2.1.3
% 1.05/0.51 % (505310)Termination reason: Instruction limit
% 1.05/0.51 % (505310)Termination phase: Saturation
% 1.05/0.51 % (505310)Time elapsed: 0.007 s
% 1.05/0.51 % (505310)Peak memory usage: 12 MB
% 1.05/0.51 % (505310)Instructions burned: 8 (million)
% 1.05/0.51 % (505322)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3316896964:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.05/0.51 % (505322)Refutation not found, incomplete strategy
% 1.05/0.51 % (505322)------------------------------
% 1.05/0.51 % (505322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (505322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (505321)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.05/0.51 % (505322)CaDiCaL version: 2.1.3
% 1.05/0.51 % (505322)Termination reason: Refutation not found, incomplete strategy
% 1.05/0.51 % (505322)Time elapsed: 0.004 s
% 1.05/0.51 % (505322)Peak memory usage: 12 MB
% 1.05/0.51 % (505322)Instructions burned: 5 (million)
% 1.05/0.51 % (505322)------------------------------
% 1.05/0.51 % (505322)------------------------------
% 1.05/0.51 % (505321)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=729363225:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.05/0.51 % (505321)Instruction limit reached!
% 1.05/0.51 % (505321)------------------------------
% 1.05/0.51 % (505321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (505321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (505321)CaDiCaL version: 2.1.3
% 1.05/0.51 % (505321)Termination reason: Instruction limit
% 1.05/0.51 % (505321)Termination phase: Property scanning
% 1.05/0.51 % (505321)Time elapsed: 0.002 s
% 1.05/0.51 % (505321)Peak memory usage: 10 MB
% 1.05/0.51 % (505321)Instructions burned: 2 (million)
% 1.05/0.51 % (505309)Instruction limit reached!
% 1.05/0.51 % (505309)------------------------------
% 1.05/0.51 % (505309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (505309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (505309)CaDiCaL version: 2.1.3
% 1.05/0.51 % (505309)Termination reason: Instruction limit
% 1.05/0.51 % (505309)Termination phase: Saturation
% 1.05/0.51 % (505309)Time elapsed: 0.044 s
% 1.05/0.51 % (505309)Peak memory usage: 13 MB
% 1.05/0.51 % (505309)Instructions burned: 90 (million)
% 1.05/0.51 % (505324)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=915815055:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.05/0.51 % (505324)Refutation not found, incomplete strategy
% 1.05/0.51 % (505324)------------------------------
% 1.05/0.51 % (505324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.05/0.51 % (505324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.05/0.51 % (505324)CaDiCaL version: 2.1.3
% 1.05/0.51 % (505324)Termination reason: Refutation not found, incomplete strategy
% 1.05/0.51 % (505324)Time elapsed: 0.006 s
% 1.05/0.51 % (505324)Peak memory usage: 12 MB
% 1.05/0.51 % (505324)Instructions burned: 5 (million)
% 1.05/0.51 % (505324)------------------------------
% 1.05/0.51 % (505324)------------------------------
% 1.05/0.51 % (505341)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=224462989:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.05/0.51 % (505329)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3294964547:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.74/0.57 % (505341)Instruction limit reached!
% 1.74/0.57 % (505341)------------------------------
% 1.74/0.57 % (505341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.57 % (505341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.57 % (505341)CaDiCaL version: 2.1.3
% 1.74/0.57 % (505341)Termination reason: Instruction limit
% 1.74/0.57 % (505341)Termination phase: Saturation
% 1.74/0.57 % (505341)Time elapsed: 0.005 s
% 1.74/0.57 % (505341)Peak memory usage: 12 MB
% 1.74/0.57 % (505341)Instructions burned: 16 (million)
% 1.74/0.57 % (505335)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1863518575:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.74/0.57 % (505337)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=684583525:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.74/0.57 % (505273)Instruction limit reached!
% 1.74/0.57 % (505273)------------------------------
% 1.74/0.57 % (505273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.57 % (505273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.57 % (505273)CaDiCaL version: 2.1.3
% 1.74/0.57 % (505273)Termination reason: Instruction limit
% 1.74/0.57 % (505273)Termination phase: Saturation
% 1.74/0.57 % (505273)Time elapsed: 0.136 s
% 1.74/0.57 % (505273)Peak memory usage: 12 MB
% 1.74/0.57 % (505273)Instructions burned: 157 (million)
% 1.74/0.57 % (505337)Refutation not found, incomplete strategy
% 1.74/0.57 % (505337)------------------------------
% 1.74/0.57 % (505337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.57 % (505337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.57 % (505337)CaDiCaL version: 2.1.3
% 1.74/0.57 % (505337)Termination reason: Refutation not found, incomplete strategy
% 1.74/0.57 % (505337)Time elapsed: 0.007 s
% 1.74/0.57 % (505337)Peak memory usage: 12 MB
% 1.74/0.57 % (505337)Instructions burned: 7 (million)
% 1.74/0.57 % (505349)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=505766185:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.74/0.57 % (505337)------------------------------
% 1.74/0.57 % (505337)------------------------------
% 1.74/0.57 % (505335)Instruction limit reached!
% 1.74/0.57 % (505335)------------------------------
% 1.74/0.57 % (505335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.57 % (505335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.57 % (505335)CaDiCaL version: 2.1.3
% 1.74/0.57 % (505335)Termination reason: Instruction limit
% 1.74/0.57 % (505335)Termination phase: Saturation
% 1.74/0.57 % (505335)Time elapsed: 0.012 s
% 1.74/0.57 % (505335)Peak memory usage: 12 MB
% 1.74/0.57 % (505335)Instructions burned: 14 (million)
% 1.74/0.57 % (505329)Instruction limit reached!
% 1.74/0.57 % (505329)------------------------------
% 1.74/0.57 % (505329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.57 % (505329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.57 % (505329)CaDiCaL version: 2.1.3
% 1.74/0.57 % (505329)Termination reason: Instruction limit
% 1.74/0.57 % (505329)Termination phase: Saturation
% 1.74/0.57 % (505329)Time elapsed: 0.024 s
% 1.74/0.57 % (505329)Peak memory usage: 12 MB
% 1.74/0.57 % (505329)Instructions burned: 25 (million)
% 1.74/0.57 % (505349)Instruction limit reached!
% 1.74/0.57 % (505349)------------------------------
% 1.74/0.57 % (505349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.74/0.57 % (505349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.74/0.57 % (505349)CaDiCaL version: 2.1.3
% 1.74/0.57 % (505349)Termination reason: Instruction limit
% 1.74/0.57 % (505349)Termination phase: Saturation
% 1.74/0.57 % (505349)Time elapsed: 0.013 s
% 1.74/0.57 % (505349)Peak memory usage: 12 MB
% 1.74/0.57 % (505349)Instructions burned: 27 (million)
% 1.74/0.57 % (505346)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=385652732: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)
% 1.74/0.57 % (505346)Instruction limit reached!
% 1.74/0.57 % (505346)------------------------------
% 1.74/0.57 % (505346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (505346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (505346)CaDiCaL version: 2.1.3
% 2.41/0.64 % (505346)Termination reason: Instruction limit
% 2.41/0.64 % (505346)Termination phase: Property scanning
% 2.41/0.64 % (505346)Time elapsed: 0.002 s
% 2.41/0.64 % (505346)Peak memory usage: 10 MB
% 2.41/0.64 % (505346)Instructions burned: 2 (million)
% 2.41/0.64 % (505362)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
% 2.41/0.64 % (505362)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.41/0.64 % (505356)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1519305388:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.41/0.64 % (505367)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=447773572:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.41/0.64 % (505365)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.41/0.64 % (505362)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=2192383626:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.41/0.64 % (505361)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1445654280:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.41/0.64 % (505365)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=170088305:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.41/0.64 % (505365)Instruction limit reached!
% 2.41/0.64 % (505365)------------------------------
% 2.41/0.64 % (505365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (505365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (505365)CaDiCaL version: 2.1.3
% 2.41/0.64 % (505365)Termination reason: Instruction limit
% 2.41/0.64 % (505365)Termination phase: Saturation
% 2.41/0.64 % (505365)Time elapsed: 0.007 s
% 2.41/0.64 % (505365)Peak memory usage: 11 MB
% 2.41/0.64 % (505365)Instructions burned: 9 (million)
% 2.41/0.64 % (505362)Instruction limit reached!
% 2.41/0.64 % (505362)------------------------------
% 2.41/0.64 % (505362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (505362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (505362)CaDiCaL version: 2.1.3
% 2.41/0.64 % (505362)Termination reason: Instruction limit
% 2.41/0.64 % (505362)Termination phase: Saturation
% 2.41/0.64 % (505362)Time elapsed: 0.013 s
% 2.41/0.64 % (505362)Peak memory usage: 12 MB
% 2.41/0.64 % (505362)Instructions burned: 15 (million)
% 2.41/0.64 % (505367)Instruction limit reached!
% 2.41/0.64 % (505367)------------------------------
% 2.41/0.64 % (505367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (505367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (505367)CaDiCaL version: 2.1.3
% 2.41/0.64 % (505367)Termination reason: Instruction limit
% 2.41/0.64 % (505367)Termination phase: Saturation
% 2.41/0.64 % (505367)Time elapsed: 0.016 s
% 2.41/0.64 % (505367)Peak memory usage: 12 MB
% 2.41/0.64 % (505367)Instructions burned: 33 (million)
% 2.41/0.64 % (505356)Instruction limit reached!
% 2.41/0.64 % (505356)------------------------------
% 2.41/0.64 % (505356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.64 % (505356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.64 % (505356)CaDiCaL version: 2.1.3
% 2.41/0.64 % (505356)Termination reason: Instruction limit
% 2.41/0.64 % (505356)Termination phase: Saturation
% 2.41/0.64 % (505356)Time elapsed: 0.021 s
% 2.41/0.64 % (505356)Peak memory usage: 12 MB
% 2.41/0.64 % (505356)Instructions burned: 23 (million)
% 2.41/0.64 % (505368)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1815599595:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.82/0.71 % (505368)Instruction limit reached!
% 2.82/0.71 % (505368)------------------------------
% 2.82/0.71 % (505368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.71 % (505368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.71 % (505368)CaDiCaL version: 2.1.3
% 2.82/0.71 % (505368)Termination reason: Instruction limit
% 2.82/0.71 % (505368)Termination phase: Saturation
% 2.82/0.71 % (505368)Time elapsed: 0.006 s
% 2.82/0.71 % (505368)Peak memory usage: 11 MB
% 2.82/0.71 % (505368)Instructions burned: 7 (million)
% 2.82/0.71 % (505385)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3852067422:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.82/0.71 % (505386)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=867413857:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.82/0.71 % (505382)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2120365001:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.82/0.71 % (505383)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4279610771:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.82/0.71 % (505361)Instruction limit reached!
% 2.82/0.71 % (505361)------------------------------
% 2.82/0.71 % (505361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.71 % (505361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.71 % (505361)CaDiCaL version: 2.1.3
% 2.82/0.71 % (505361)Termination reason: Instruction limit
% 2.82/0.71 % (505361)Termination phase: Saturation
% 2.82/0.71 % (505361)Time elapsed: 0.053 s
% 2.82/0.71 % (505361)Peak memory usage: 12 MB
% 2.82/0.71 % (505361)Instructions burned: 60 (million)
% 2.82/0.71 % (505388)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3910105435:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.82/0.71 % (505383)Instruction limit reached!
% 2.82/0.71 % (505383)------------------------------
% 2.82/0.71 % (505383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.71 % (505383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.71 % (505383)CaDiCaL version: 2.1.3
% 2.82/0.71 % (505383)Termination reason: Instruction limit
% 2.82/0.71 % (505383)Termination phase: Saturation
% 2.82/0.71 % (505383)Time elapsed: 0.016 s
% 2.82/0.71 % (505383)Peak memory usage: 12 MB
% 2.82/0.71 % (505383)Instructions burned: 20 (million)
% 2.82/0.71 % (505382)Instruction limit reached!
% 2.82/0.71 % (505382)------------------------------
% 2.82/0.71 % (505382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.71 % (505382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.71 % (505382)CaDiCaL version: 2.1.3
% 2.82/0.71 % (505382)Termination reason: Instruction limit
% 2.82/0.71 % (505382)Termination phase: Saturation
% 2.82/0.71 % (505382)Time elapsed: 0.018 s
% 2.82/0.71 % (505382)Peak memory usage: 11 MB
% 2.82/0.71 % (505382)Instructions burned: 24 (million)
% 2.82/0.71 % (505388)Refutation not found, incomplete strategy
% 2.82/0.71 % (505388)------------------------------
% 2.82/0.71 % (505388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.82/0.71 % (505388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/0.71 % (505388)CaDiCaL version: 2.1.3
% 2.82/0.71 % (505388)Termination reason: Refutation not found, incomplete strategy
% 2.82/0.71 % (505388)Time elapsed: 0.007 s
% 2.82/0.71 % (505388)Peak memory usage: 12 MB
% 2.82/0.71 % (505388)Instructions burned: 7 (million)
% 2.82/0.71 % (505388)------------------------------
% 2.82/0.71 % (505388)------------------------------
% 2.82/0.71 % (505402)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.82/0.71 % (505402)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3573765885:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.82/0.71 % (505397)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4030462557:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.82/0.71 % (505402)Instruction limit reached!
% 2.82/0.71 % (505402)------------------------------
% 2.82/0.71 % (505402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (505402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (505402)CaDiCaL version: 2.1.3
% 3.32/0.86 % (505402)Termination reason: Instruction limit
% 3.32/0.86 % (505402)Termination phase: Saturation
% 3.32/0.86 % (505402)Time elapsed: 0.004 s
% 3.32/0.86 % (505402)Peak memory usage: 11 MB
% 3.32/0.86 % (505402)Instructions burned: 8 (million)
% 3.32/0.86 % (505404)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2287027133:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 3.32/0.86 % (505405)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=3945295240: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)
% 3.32/0.86 % (505404)Refutation not found, incomplete strategy
% 3.32/0.86 % (505404)------------------------------
% 3.32/0.86 % (505404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (505404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (505404)CaDiCaL version: 2.1.3
% 3.32/0.86 % (505404)Termination reason: Refutation not found, incomplete strategy
% 3.32/0.86 % (505404)Time elapsed: 0.007 s
% 3.32/0.86 % (505404)Peak memory usage: 12 MB
% 3.32/0.86 % (505404)Instructions burned: 6 (million)
% 3.32/0.86 % (505404)------------------------------
% 3.32/0.86 % (505404)------------------------------
% 3.32/0.86 % (505405)Refutation not found, incomplete strategy
% 3.32/0.86 % (505405)------------------------------
% 3.32/0.86 % (505405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (505405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (505405)CaDiCaL version: 2.1.3
% 3.32/0.86 % (505405)Termination reason: Refutation not found, incomplete strategy
% 3.32/0.86 % (505405)Time elapsed: 0.007 s
% 3.32/0.86 % (505405)Peak memory usage: 12 MB
% 3.32/0.86 % (505405)Instructions burned: 6 (million)
% 3.32/0.86 % (505405)------------------------------
% 3.32/0.86 % (505405)------------------------------
% 3.32/0.86 % (505411)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.32/0.86 % (505397)Instruction limit reached!
% 3.32/0.86 % (505397)------------------------------
% 3.32/0.86 % (505397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (505397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (505397)CaDiCaL version: 2.1.3
% 3.32/0.86 % (505397)Termination reason: Instruction limit
% 3.32/0.86 % (505397)Termination phase: Saturation
% 3.32/0.86 % (505397)Time elapsed: 0.031 s
% 3.32/0.86 % (505397)Peak memory usage: 12 MB
% 3.32/0.86 % (505397)Instructions burned: 45 (million)
% 3.32/0.86 % (505411)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2975420343:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 3.32/0.86 % (505411)Instruction limit reached!
% 3.32/0.86 % (505411)------------------------------
% 3.32/0.86 % (505411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (505411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (505411)CaDiCaL version: 2.1.3
% 3.32/0.86 % (505411)Termination reason: Instruction limit
% 3.32/0.86 % (505411)Termination phase: Saturation
% 3.32/0.86 % (505411)Time elapsed: 0.006 s
% 3.32/0.86 % (505411)Peak memory usage: 11 MB
% 3.32/0.86 % (505411)Instructions burned: 6 (million)
% 3.32/0.86 % (505418)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=675451827:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.32/0.86 % (505420)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=250238135:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.32/0.86 % (505420)Instruction limit reached!
% 3.32/0.86 % (505420)------------------------------
% 3.32/0.86 % (505420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (505420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (505420)CaDiCaL version: 2.1.3
% 3.32/0.86 % (505420)Termination reason: Instruction limit
% 3.77/0.96 % (505420)Termination phase: Saturation
% 3.77/0.96 % (505420)Time elapsed: 0.017 s
% 3.77/0.96 % (505420)Peak memory usage: 13 MB
% 3.77/0.96 % (505420)Instructions burned: 19 (million)
% 3.77/0.96 % (505418)Instruction limit reached!
% 3.77/0.96 % (505418)------------------------------
% 3.77/0.96 % (505418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.96 % (505418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.96 % (505418)CaDiCaL version: 2.1.3
% 3.77/0.96 % (505418)Termination reason: Instruction limit
% 3.77/0.96 % (505418)Termination phase: Saturation
% 3.77/0.96 % (505418)Time elapsed: 0.019 s
% 3.77/0.96 % (505418)Peak memory usage: 12 MB
% 3.77/0.96 % (505418)Instructions burned: 22 (million)
% 3.77/0.96 % (505422)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=55011137:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.77/0.96 % (505386)Instruction limit reached!
% 3.77/0.96 % (505386)------------------------------
% 3.77/0.96 % (505386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.96 % (505386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.96 % (505386)CaDiCaL version: 2.1.3
% 3.77/0.96 % (505386)Termination reason: Instruction limit
% 3.77/0.96 % (505386)Termination phase: Saturation
% 3.77/0.96 % (505386)Time elapsed: 0.128 s
% 3.77/0.96 % (505386)Peak memory usage: 13 MB
% 3.77/0.96 % (505386)Instructions burned: 143 (million)
% 3.77/0.96 % (505425)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1927902873:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.77/0.96 % (505434)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3140806850:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.77/0.96 % (505435)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=382554796:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.77/0.96 % (505435)Refutation not found, incomplete strategy
% 3.77/0.96 % (505435)------------------------------
% 3.77/0.96 % (505435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.96 % (505435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.96 % (505435)CaDiCaL version: 2.1.3
% 3.77/0.96 % (505435)Termination reason: Refutation not found, incomplete strategy
% 3.77/0.96 % (505435)Time elapsed: 0.006 s
% 3.77/0.96 % (505435)Peak memory usage: 12 MB
% 3.77/0.96 % (505435)Instructions burned: 6 (million)
% 3.77/0.96 % (505435)------------------------------
% 3.77/0.96 % (505435)------------------------------
% 3.77/0.96 % (505438)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2229122090:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.77/0.96 % (505438)Instruction limit reached!
% 3.77/0.96 % (505438)------------------------------
% 3.77/0.96 % (505438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.96 % (505438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.96 % (505438)CaDiCaL version: 2.1.3
% 3.77/0.96 % (505438)Termination reason: Instruction limit
% 3.77/0.96 % (505438)Termination phase: Saturation
% 3.77/0.96 % (505438)Time elapsed: 0.016 s
% 3.77/0.96 % (505438)Peak memory usage: 12 MB
% 3.77/0.96 % (505438)Instructions burned: 21 (million)
% 3.77/0.96 % (505448)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.77/0.96 % (505448)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2886236957:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.77/0.96 % (505434)Instruction limit reached!
% 3.77/0.96 % (505434)------------------------------
% 3.77/0.96 % (505434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/0.96 % (505434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/0.96 % (505434)CaDiCaL version: 2.1.3
% 3.77/0.96 % (505434)Termination reason: Instruction limit
% 3.77/1.05 % (505434)Termination phase: Saturation
% 3.77/1.05 % (505434)Time elapsed: 0.041 s
% 3.77/1.05 % (505434)Peak memory usage: 12 MB
% 3.77/1.05 % (505434)Instructions burned: 46 (million)
% 3.77/1.05 % (505451)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=82875491:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.77/1.05 % (505456)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=4012447433:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.77/1.05 % (505451)Instruction limit reached!
% 3.77/1.05 % (505451)------------------------------
% 3.77/1.05 % (505451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/1.05 % (505451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.05 % (505451)CaDiCaL version: 2.1.3
% 3.77/1.05 % (505451)Termination reason: Instruction limit
% 3.77/1.05 % (505451)Termination phase: Saturation
% 3.77/1.05 % (505451)Time elapsed: 0.014 s
% 3.77/1.05 % (505451)Peak memory usage: 12 MB
% 3.77/1.05 % (505451)Instructions burned: 13 (million)
% 3.77/1.05 % (505466)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3236110206:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.77/1.05 % (505466)Refutation not found, incomplete strategy
% 3.77/1.05 % (505466)------------------------------
% 3.77/1.05 % (505466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/1.05 % (505466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.05 % (505466)CaDiCaL version: 2.1.3
% 3.77/1.05 % (505466)Termination reason: Refutation not found, incomplete strategy
% 3.77/1.05 % (505466)Time elapsed: 0.009 s
% 3.77/1.05 % (505466)Peak memory usage: 12 MB
% 3.77/1.05 % (505466)Instructions burned: 16 (million)
% 3.77/1.05 % (505466)------------------------------
% 3.77/1.05 % (505466)------------------------------
% 3.77/1.05 % (505456)Instruction limit reached!
% 3.77/1.05 % (505456)------------------------------
% 3.77/1.05 % (505456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/1.05 % (505456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.05 % (505456)CaDiCaL version: 2.1.3
% 3.77/1.05 % (505456)Termination reason: Instruction limit
% 3.77/1.05 % (505456)Termination phase: Saturation
% 3.77/1.05 % (505456)Time elapsed: 0.045 s
% 3.77/1.05 % (505456)Peak memory usage: 13 MB
% 3.77/1.05 % (505456)Instructions burned: 67 (million)
% 3.77/1.05 % (505477)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1842231259:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 3.77/1.05 % (505479)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1659809984:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 3.77/1.05 % (505477)Instruction limit reached!
% 3.77/1.05 % (505477)------------------------------
% 3.77/1.05 % (505477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/1.05 % (505477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.05 % (505477)CaDiCaL version: 2.1.3
% 3.77/1.05 % (505477)Termination reason: Instruction limit
% 3.77/1.05 % (505477)Termination phase: Saturation
% 3.77/1.05 % (505477)Time elapsed: 0.021 s
% 3.77/1.05 % (505477)Peak memory usage: 12 MB
% 3.77/1.05 % (505477)Instructions burned: 32 (million)
% 3.77/1.05 % (505448)Instruction limit reached!
% 3.77/1.05 % (505448)------------------------------
% 3.77/1.05 % (505448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/1.05 % (505448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.05 % (505448)CaDiCaL version: 2.1.3
% 3.77/1.05 % (505448)Termination reason: Instruction limit
% 3.77/1.05 % (505448)Termination phase: Saturation
% 3.77/1.05 % (505448)Time elapsed: 0.135 s
% 3.77/1.05 % (505448)Peak memory usage: 12 MB
% 3.77/1.05 % (505448)Instructions burned: 200 (million)
% 3.77/1.05 % (505270)Instruction limit reached!
% 3.77/1.05 % (505270)------------------------------
% 3.77/1.05 % (505270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.77/1.05 % (505270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.05 % (505270)CaDiCaL version: 2.1.3
% 3.77/1.05 % (505270)Termination reason: Instruction limit
% 5.50/1.15 % (505270)Termination phase: Saturation
% 5.50/1.15 % (505270)Time elapsed: 0.552 s
% 5.50/1.15 % (505270)Peak memory usage: 15 MB
% 5.50/1.15 % (505270)Instructions burned: 635 (million)
% 5.50/1.15 % (505494)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2666645367:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.50/1.15 % (505496)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2076652664:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 5.50/1.15 % (505502)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.50/1.15 % (505502)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=539280741:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.50/1.15 % (505494)Instruction limit reached!
% 5.50/1.15 % (505494)------------------------------
% 5.50/1.15 % (505494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.15 % (505494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.15 % (505494)CaDiCaL version: 2.1.3
% 5.50/1.15 % (505494)Termination reason: Instruction limit
% 5.50/1.15 % (505494)Termination phase: Saturation
% 5.50/1.15 % (505494)Time elapsed: 0.022 s
% 5.50/1.15 % (505494)Peak memory usage: 12 MB
% 5.50/1.15 % (505494)Instructions burned: 35 (million)
% 5.50/1.15 % (505496)Refutation not found, incomplete strategy
% 5.50/1.15 % (505496)------------------------------
% 5.50/1.15 % (505496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.15 % (505496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.15 % (505496)CaDiCaL version: 2.1.3
% 5.50/1.15 % (505496)Termination reason: Refutation not found, incomplete strategy
% 5.50/1.15 % (505496)Time elapsed: 0.021 s
% 5.50/1.15 % (505496)Peak memory usage: 12 MB
% 5.50/1.15 % (505496)Instructions burned: 23 (million)
% 5.50/1.15 % (505496)------------------------------
% 5.50/1.15 % (505496)------------------------------
% 5.50/1.15 % (505513)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3598629105:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 5.50/1.15 % (505513)Refutation not found, incomplete strategy
% 5.50/1.15 % (505513)------------------------------
% 5.50/1.15 % (505513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.15 % (505513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.15 % (505513)CaDiCaL version: 2.1.3
% 5.50/1.15 % (505513)Termination reason: Refutation not found, incomplete strategy
% 5.50/1.15 % (505513)Time elapsed: 0.007 s
% 5.50/1.15 % (505513)Peak memory usage: 12 MB
% 5.50/1.15 % (505513)Instructions burned: 7 (million)
% 5.50/1.15 % (505479)Instruction limit reached!
% 5.50/1.15 % (505479)------------------------------
% 5.50/1.15 % (505479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.15 % (505479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.15 % (505479)CaDiCaL version: 2.1.3
% 5.50/1.15 % (505479)Termination reason: Instruction limit
% 5.50/1.15 % (505479)Termination phase: Saturation
% 5.50/1.15 % (505479)Time elapsed: 0.107 s
% 5.50/1.15 % (505479)Peak memory usage: 12 MB
% 5.50/1.15 % (505479)Instructions burned: 137 (million)
% 5.50/1.15 % (505513)------------------------------
% 5.50/1.15 % (505513)------------------------------
% 5.50/1.15 % (505519)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=132628740:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.50/1.15 % (505526)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3288847083:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.50/1.15 % (505422)Instruction limit reached!
% 5.50/1.15 % (505422)------------------------------
% 5.50/1.15 % (505422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.50/1.15 % (505422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.15 % (505422)CaDiCaL version: 2.1.3
% 5.50/1.15 % (505422)Termination reason: Instruction limit
% 5.50/1.15 % (505422)Termination phase: Saturation
% 5.50/1.15 % (505422)Time elapsed: 0.319 s
% 5.50/1.15 % (505422)Peak memory usage: 16 MB
% 5.50/1.15 % (505422)Instructions burned: 317 (million)
% 5.50/1.15 % (505526)Refutation not found, incomplete strategy
% 5.50/1.15 % (505526)------------------------------
% 6.54/1.33 % (505526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.33 % (505526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.33 % (505526)CaDiCaL version: 2.1.3
% 6.54/1.33 % (505526)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.33 % (505526)Time elapsed: 0.006 s
% 6.54/1.33 % (505526)Peak memory usage: 12 MB
% 6.54/1.33 % (505526)Instructions burned: 6 (million)
% 6.54/1.33 % (505526)------------------------------
% 6.54/1.33 % (505526)------------------------------
% 6.54/1.33 % (505527)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1726079918:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 6.54/1.33 % (505527)Refutation not found, incomplete strategy
% 6.54/1.33 % (505527)------------------------------
% 6.54/1.33 % (505527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.33 % (505527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.33 % (505527)CaDiCaL version: 2.1.3
% 6.54/1.33 % (505527)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.33 % (505527)Time elapsed: 0.007 s
% 6.54/1.33 % (505527)Peak memory usage: 12 MB
% 6.54/1.33 % (505527)Instructions burned: 7 (million)
% 6.54/1.33 % (505527)------------------------------
% 6.54/1.33 % (505527)------------------------------
% 6.54/1.33 % (505539)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1939742698:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 6.54/1.33 % (505539)Refutation not found, incomplete strategy
% 6.54/1.33 % (505539)------------------------------
% 6.54/1.33 % (505539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.33 % (505539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.33 % (505539)CaDiCaL version: 2.1.3
% 6.54/1.33 % (505539)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.33 % (505539)Time elapsed: 0.003 s
% 6.54/1.33 % (505539)Peak memory usage: 12 MB
% 6.54/1.33 % (505539)Instructions burned: 8 (million)
% 6.54/1.33 % (505539)------------------------------
% 6.54/1.33 % (505539)------------------------------
% 6.54/1.33 % (505537)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4085885834:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 6.54/1.33 % (505547)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=478583967:s2a=on:i=571:nm=16:rtra=on_2992 on theBenchmark for (2992ds/571Mi)
% 6.54/1.33 % (505519)Instruction limit reached!
% 6.54/1.33 % (505519)------------------------------
% 6.54/1.33 % (505519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.33 % (505547)Refutation not found, incomplete strategy
% 6.54/1.33 % (505547)------------------------------
% 6.54/1.33 % (505547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.54/1.33 % (505519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.33 % (505519)CaDiCaL version: 2.1.3
% 6.54/1.33 % (505547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.33 % (505547)CaDiCaL version: 2.1.3
% 6.54/1.33 % (505519)Termination reason: Instruction limit
% 6.54/1.33 % (505519)Termination phase: Saturation
% 6.54/1.33 % (505519)Time elapsed: 0.066 s
% 6.54/1.33 % (505547)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.33 % (505547)Time elapsed: 0.003 s
% 6.54/1.33 % (505519)Peak memory usage: 12 MB
% 6.54/1.33 % (505519)Instructions burned: 96 (million)
% 6.54/1.33 % (505547)Peak memory usage: 12 MB
% 6.54/1.33 % (505547)Instructions burned: 6 (million)
% 6.54/1.33 % (505547)------------------------------
% 6.54/1.33 % (505547)------------------------------
% 6.54/1.33 % (505545)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3581189342:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 6.54/1.33 % (505554)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3224702430:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 6.54/1.33 % (505555)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2197176:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 6.54/1.33 % (505502)Instruction limit reached!
% 6.54/1.33 % (505502)------------------------------
% 6.54/1.33 % (505502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.47 % (505502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.47 % (505502)CaDiCaL version: 2.1.3
% 7.42/1.47 % (505502)Termination reason: Instruction limit
% 7.42/1.47 % (505502)Termination phase: Saturation
% 7.42/1.47 % (505502)Time elapsed: 0.158 s
% 7.42/1.47 % (505502)Peak memory usage: 13 MB
% 7.42/1.47 % (505502)Instructions burned: 180 (million)
% 7.42/1.47 % (505545)Instruction limit reached!
% 7.42/1.47 % (505545)------------------------------
% 7.42/1.47 % (505545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.47 % (505545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.47 % (505545)CaDiCaL version: 2.1.3
% 7.42/1.47 % (505545)Termination reason: Instruction limit
% 7.42/1.47 % (505545)Termination phase: Saturation
% 7.42/1.47 % (505545)Time elapsed: 0.037 s
% 7.42/1.47 % (505545)Peak memory usage: 12 MB
% 7.42/1.47 % (505545)Instructions burned: 45 (million)
% 7.42/1.47 % (505385)Instruction limit reached!
% 7.42/1.47 % (505385)------------------------------
% 7.42/1.47 % (505385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.47 % (505385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.47 % (505385)CaDiCaL version: 2.1.3
% 7.42/1.47 % (505385)Termination reason: Instruction limit
% 7.42/1.47 % (505385)Termination phase: Saturation
% 7.42/1.47 % (505385)Time elapsed: 0.556 s
% 7.42/1.47 % (505385)Peak memory usage: 14 MB
% 7.42/1.47 % (505385)Instructions burned: 1240 (million)
% 7.42/1.47 % (505569)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3476270344:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2992 on theBenchmark for (2992ds/105Mi)
% 7.42/1.47 % (505568)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=597041563:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2992 on theBenchmark for (2992ds/65Mi)
% 7.42/1.47 % (505555)Instruction limit reached!
% 7.42/1.47 % (505555)------------------------------
% 7.42/1.47 % (505555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.47 % (505555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.47 % (505555)CaDiCaL version: 2.1.3
% 7.42/1.47 % (505555)Termination reason: Instruction limit
% 7.42/1.47 % (505555)Termination phase: Saturation
% 7.42/1.47 % (505555)Time elapsed: 0.054 s
% 7.42/1.47 % (505555)Peak memory usage: 12 MB
% 7.42/1.47 % (505555)Instructions burned: 97 (million)
% 7.42/1.47 % (505574)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3731795290:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 7.42/1.47 % (505582)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=432594192:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 7.42/1.47 % (505582)Refutation not found, incomplete strategy
% 7.42/1.47 % (505582)------------------------------
% 7.42/1.47 % (505582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.47 % (505582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.47 % (505582)CaDiCaL version: 2.1.3
% 7.42/1.47 % (505582)Termination reason: Refutation not found, incomplete strategy
% 7.42/1.47 % (505582)Time elapsed: 0.003 s
% 7.42/1.47 % (505582)Peak memory usage: 12 MB
% 7.42/1.47 % (505582)Instructions burned: 6 (million)
% 7.42/1.47 % (505582)------------------------------
% 7.42/1.47 % (505582)------------------------------
% 7.42/1.47 % (505568)Instruction limit reached!
% 7.42/1.47 % (505568)------------------------------
% 7.42/1.47 % (505568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.42/1.47 % (505568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.47 % (505568)CaDiCaL version: 2.1.3
% 7.42/1.47 % (505568)Termination reason: Instruction limit
% 7.42/1.47 % (505568)Termination phase: Saturation
% 7.42/1.47 % (505568)Time elapsed: 0.059 s
% 7.42/1.47 % (505568)Peak memory usage: 12 MB
% 7.42/1.47 % (505568)Instructions burned: 65 (million)
% 7.42/1.47 % (505589)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1612188453:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 8.28/1.62 % (505569)Instruction limit reached!
% 8.28/1.62 % (505569)------------------------------
% 8.28/1.62 % (505569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/1.62 % (505569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/1.62 % (505569)CaDiCaL version: 2.1.3
% 8.28/1.62 % (505569)Termination reason: Instruction limit
% 8.28/1.62 % (505569)Termination phase: Saturation
% 8.28/1.62 % (505569)Time elapsed: 0.079 s
% 8.28/1.62 % (505569)Peak memory usage: 13 MB
% 8.28/1.62 % (505569)Instructions burned: 105 (million)
% 8.28/1.62 % (505594)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3823376227:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 8.28/1.62 % (505599)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1230119381:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 8.28/1.62 % (505594)Instruction limit reached!
% 8.28/1.62 % (505594)------------------------------
% 8.28/1.62 % (505594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/1.62 % (505594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/1.62 % (505594)CaDiCaL version: 2.1.3
% 8.28/1.62 % (505594)Termination reason: Instruction limit
% 8.28/1.62 % (505594)Termination phase: Saturation
% 8.28/1.62 % (505594)Time elapsed: 0.030 s
% 8.28/1.62 % (505594)Peak memory usage: 12 MB
% 8.28/1.62 % (505594)Instructions burned: 34 (million)
% 8.28/1.62 % (505610)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=364487314:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 8.28/1.62 % (505610)Refutation not found, incomplete strategy
% 8.28/1.62 % (505610)------------------------------
% 8.28/1.62 % (505610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/1.62 % (505610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/1.62 % (505610)CaDiCaL version: 2.1.3
% 8.28/1.62 % (505610)Termination reason: Refutation not found, incomplete strategy
% 8.28/1.62 % (505610)Time elapsed: 0.004 s
% 8.28/1.62 % (505610)Peak memory usage: 12 MB
% 8.28/1.62 % (505610)Instructions burned: 5 (million)
% 8.28/1.62 % (505610)------------------------------
% 8.28/1.62 % (505610)------------------------------
% 8.28/1.62 % (505599)Instruction limit reached!
% 8.28/1.62 % (505599)------------------------------
% 8.28/1.62 % (505599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/1.62 % (505599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/1.62 % (505599)CaDiCaL version: 2.1.3
% 8.28/1.62 % (505599)Termination reason: Instruction limit
% 8.28/1.62 % (505599)Termination phase: Saturation
% 8.28/1.62 % (505599)Time elapsed: 0.066 s
% 8.28/1.62 % (505599)Peak memory usage: 12 MB
% 8.28/1.62 % (505599)Instructions burned: 93 (million)
% 8.28/1.62 % (505616)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=907589358:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 8.28/1.62 % (505616)Instruction limit reached!
% 8.28/1.62 % (505616)------------------------------
% 8.28/1.62 % (505616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/1.62 % (505616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/1.62 % (505616)CaDiCaL version: 2.1.3
% 8.28/1.62 % (505616)Termination reason: Instruction limit
% 8.28/1.62 % (505616)Termination phase: Saturation
% 8.28/1.62 % (505616)Time elapsed: 0.013 s
% 8.28/1.62 % (505616)Peak memory usage: 12 MB
% 8.28/1.62 % (505616)Instructions burned: 23 (million)
% 8.28/1.62 % (505619)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=968788043:i=338:bd=all:ins=4:rtra=on_2990 on theBenchmark for (2990ds/338Mi)
% 8.28/1.62 % (505625)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1604170457:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 8.28/1.62 % (505625)Instruction limit reached!
% 8.28/1.62 % (505625)------------------------------
% 8.28/1.62 % (505625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.28/1.62 % (505625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.72 % (505625)CaDiCaL version: 2.1.3
% 8.76/1.72 % (505625)Termination reason: Instruction limit
% 8.76/1.72 % (505625)Termination phase: Saturation
% 8.76/1.72 % (505625)Time elapsed: 0.019 s
% 8.76/1.72 % (505625)Peak memory usage: 12 MB
% 8.76/1.72 % (505625)Instructions burned: 29 (million)
% 8.76/1.72 % (505554)Instruction limit reached!
% 8.76/1.72 % (505554)------------------------------
% 8.76/1.72 % (505554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.72 % (505554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.72 % (505554)CaDiCaL version: 2.1.3
% 8.76/1.72 % (505554)Termination reason: Instruction limit
% 8.76/1.72 % (505554)Termination phase: Saturation
% 8.76/1.72 % (505554)Time elapsed: 0.321 s
% 8.76/1.72 % (505554)Peak memory usage: 13 MB
% 8.76/1.72 % (505554)Instructions burned: 450 (million)
% 8.76/1.72 % (505632)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 8.76/1.72 % (505632)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1865410833:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 8.76/1.72 % (505635)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2447052593:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 8.76/1.72 % (505589)Instruction limit reached!
% 8.76/1.72 % (505589)------------------------------
% 8.76/1.72 % (505589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.72 % (505589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.72 % (505589)CaDiCaL version: 2.1.3
% 8.76/1.72 % (505589)Termination reason: Instruction limit
% 8.76/1.72 % (505589)Termination phase: Saturation
% 8.76/1.72 % (505589)Time elapsed: 0.248 s
% 8.76/1.72 % (505589)Peak memory usage: 14 MB
% 8.76/1.72 % (505589)Instructions burned: 497 (million)
% 8.76/1.72 % (505425)Instruction limit reached!
% 8.76/1.72 % (505425)------------------------------
% 8.76/1.72 % (505425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.72 % (505425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.72 % (505425)CaDiCaL version: 2.1.3
% 8.76/1.72 % (505425)Termination reason: Instruction limit
% 8.76/1.72 % (505425)Termination phase: Saturation
% 8.76/1.72 % (505425)Time elapsed: 0.768 s
% 8.76/1.72 % (505425)Peak memory usage: 16 MB
% 8.76/1.72 % (505425)Instructions burned: 853 (million)
% 8.76/1.72 % (505648)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 8.76/1.72 % (505643)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=4234364132:i=227:sd=1:bd=all:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/227Mi)
% 8.76/1.72 % (505648)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2735697503:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 8.76/1.72 % (505537)Instruction limit reached!
% 8.76/1.72 % (505537)------------------------------
% 8.76/1.72 % (505537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.72 % (505537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.72 % (505537)CaDiCaL version: 2.1.3
% 8.76/1.72 % (505537)Termination reason: Instruction limit
% 8.76/1.72 % (505537)Termination phase: Saturation
% 8.76/1.72 % (505537)Time elapsed: 0.440 s
% 8.76/1.72 % (505537)Peak memory usage: 15 MB
% 8.76/1.72 % (505537)Instructions burned: 515 (million)
% 8.76/1.72 % (505643)Refutation not found, incomplete strategy
% 8.76/1.72 % (505643)------------------------------
% 8.76/1.72 % (505643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.72 % (505643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.72 % (505643)CaDiCaL version: 2.1.3
% 8.76/1.72 % (505643)Termination reason: Refutation not found, incomplete strategy
% 8.76/1.72 % (505643)Time elapsed: 0.007 s
% 8.76/1.72 % (505643)Peak memory usage: 12 MB
% 8.76/1.72 % (505643)Instructions burned: 6 (million)
% 8.76/1.72 % (505643)------------------------------
% 8.76/1.72 % (505643)------------------------------
% 8.76/1.72 % (505654)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4099913738:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 9.20/1.81 % (505655)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3434780046:i=575:rtra=on_2988 on theBenchmark for (2988ds/575Mi)
% 9.20/1.81 % (505632)Instruction limit reached!
% 9.20/1.81 % (505632)------------------------------
% 9.20/1.81 % (505632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505632)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505632)Termination reason: Instruction limit
% 9.20/1.81 % (505632)Termination phase: Saturation
% 9.20/1.81 % (505632)Time elapsed: 0.116 s
% 9.20/1.81 % (505632)Peak memory usage: 13 MB
% 9.20/1.81 % (505632)Instructions burned: 138 (million)
% 9.20/1.81 % (505662)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4024870975:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 9.20/1.81 % (505648)Instruction limit reached!
% 9.20/1.81 % (505648)------------------------------
% 9.20/1.81 % (505648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505648)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505648)Termination reason: Instruction limit
% 9.20/1.81 % (505648)Termination phase: Saturation
% 9.20/1.81 % (505648)Time elapsed: 0.113 s
% 9.20/1.81 % (505648)Peak memory usage: 14 MB
% 9.20/1.81 % (505648)Instructions burned: 375 (million)
% 9.20/1.81 % (505654)Instruction limit reached!
% 9.20/1.81 % (505654)------------------------------
% 9.20/1.81 % (505654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505654)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505654)Termination reason: Instruction limit
% 9.20/1.81 % (505654)Termination phase: Saturation
% 9.20/1.81 % (505654)Time elapsed: 0.095 s
% 9.20/1.81 % (505654)Peak memory usage: 12 MB
% 9.20/1.81 % (505654)Instructions burned: 116 (million)
% 9.20/1.81 % (505673)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=330697741:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/9840Mi)
% 9.20/1.81 % (505619)Instruction limit reached!
% 9.20/1.81 % (505619)------------------------------
% 9.20/1.81 % (505619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505619)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505619)Termination reason: Instruction limit
% 9.20/1.81 % (505619)Termination phase: Saturation
% 9.20/1.81 % (505619)Time elapsed: 0.299 s
% 9.20/1.81 % (505619)Peak memory usage: 15 MB
% 9.20/1.81 % (505619)Instructions burned: 338 (million)
% 9.20/1.81 % (505675)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=287954899:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 9.20/1.81 % (505675)Refutation not found, incomplete strategy
% 9.20/1.81 % (505675)------------------------------
% 9.20/1.81 % (505675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505675)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505675)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.81 % (505675)Time elapsed: 0.006 s
% 9.20/1.81 % (505675)Peak memory usage: 12 MB
% 9.20/1.81 % (505675)Instructions burned: 5 (million)
% 9.20/1.81 % (505675)------------------------------
% 9.20/1.81 % (505675)------------------------------
% 9.20/1.81 % (505681)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 9.20/1.81 % (505681)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=1236045760:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/270Mi)
% 9.20/1.81 % (505681)Refutation not found, incomplete strategy
% 9.20/1.81 % (505681)------------------------------
% 9.20/1.81 % (505681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505681)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505681)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.81 % (505681)Time elapsed: 0.009 s
% 9.20/1.81 % (505681)Peak memory usage: 12 MB
% 9.20/1.81 % (505681)Instructions burned: 11 (million)
% 9.20/1.81 % (505681)------------------------------
% 9.20/1.81 % (505681)------------------------------
% 9.20/1.81 % (505635)Instruction limit reached!
% 9.20/1.81 % (505635)------------------------------
% 9.20/1.81 % (505635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505635)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505635)Termination reason: Instruction limit
% 9.20/1.81 % (505635)Termination phase: Saturation
% 9.20/1.81 % (505635)Time elapsed: 0.263 s
% 9.20/1.81 % (505635)Peak memory usage: 14 MB
% 9.20/1.81 % (505635)Instructions burned: 340 (million)
% 9.20/1.81 % (505686)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1624163719:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/31Mi)
% 9.20/1.81 % (505689)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 9.20/1.81 % (505689)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
% 9.20/1.81 % (505689)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=2290834492:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2986 on theBenchmark for (2986ds/1440Mi)
% 9.20/1.81 % (505691)dis+10_2_sil=128000:si=on:random_seed=827847458:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2986 on theBenchmark for (2986ds/339Mi)
% 9.20/1.81 % (505686)Instruction limit reached!
% 9.20/1.81 % (505686)------------------------------
% 9.20/1.81 % (505686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505686)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505686)Termination reason: Instruction limit
% 9.20/1.81 % (505686)Termination phase: Saturation
% 9.20/1.81 % (505686)Time elapsed: 0.028 s
% 9.20/1.81 % (505686)Peak memory usage: 12 MB
% 9.20/1.81 % (505686)Instructions burned: 31 (million)
% 9.20/1.81 % (505691)Refutation not found, incomplete strategy
% 9.20/1.81 % (505691)------------------------------
% 9.20/1.81 % (505691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.81 % (505691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.81 % (505691)CaDiCaL version: 2.1.3
% 9.20/1.81 % (505691)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.81 % (505691)Time elapsed: 0.006 s
% 9.20/1.81 % (505691)Peak memory usage: 12 MB
% 9.20/1.81 % (505691)Instructions burned: 6 (million)
% 9.20/1.81 % (505691)------------------------------
% 9.20/1.81 % (505691)------------------------------
% 9.20/1.81 % (505699)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2776738638:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 9.20/1.82 % (505702)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=4046941802:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/122Mi)
% 9.20/1.82 % (505702)Refutation not found, incomplete strategy
% 9.20/1.82 % (505702)------------------------------
% 9.20/1.82 % (505702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.82 % (505702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.82 % (505702)CaDiCaL version: 2.1.3
% 9.20/1.82 % (505702)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.82 % (505702)Time elapsed: 0.006 s
% 9.20/1.82 % (505702)Peak memory usage: 12 MB
% 9.20/1.82 % (505702)Instructions burned: 6 (million)
% 9.20/1.82 % (505702)------------------------------
% 9.20/1.82 % (505702)------------------------------
% 9.20/1.82 % (505662)Instruction limit reached!
% 9.20/1.82 % (505662)------------------------------
% 9.20/1.82 % (505662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.82 % (505662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.82 % (505662)CaDiCaL version: 2.1.3
% 9.20/1.82 % (505662)Termination reason: Instruction limit
% 9.20/1.82 % (505662)Termination phase: Saturation
% 9.20/1.82 % (505662)Time elapsed: 0.219 s
% 9.20/1.82 % (505662)Peak memory usage: 13 MB
% 9.20/1.82 % (505662)Instructions burned: 271 (million)
% 9.20/1.82 % (505708)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=2731080599:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/136Mi)
% 9.20/1.82 % (505710)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1560392157:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/232Mi)
% 9.20/1.82 % (505708)Refutation not found, incomplete strategy
% 9.20/1.82 % (505708)------------------------------
% 9.20/1.82 % (505708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.82 % (505708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.82 % (505708)CaDiCaL version: 2.1.3
% 9.20/1.82 % (505708)Termination reason: Refutation not found, incomplete strategy
% 9.20/1.82 % (505708)Time elapsed: 0.026 s
% 9.20/1.82 % (505708)Peak memory usage: 12 MB
% 9.20/1.82 % (505708)Instructions burned: 22 (million)
% 9.20/1.82 % (505708)------------------------------
% 9.20/1.82 % (505708)------------------------------
% 9.20/1.82 % (505699)Instruction limit reached!
% 9.20/1.82 % (505699)------------------------------
% 9.20/1.82 % (505699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.82 % (505699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.82 % (505699)CaDiCaL version: 2.1.3
% 9.20/1.82 % (505699)Termination reason: Instruction limit
% 9.20/1.82 % (505699)Termination phase: Saturation
% 9.20/1.82 % (505699)Time elapsed: 0.078 s
% 9.20/1.82 % (505699)Peak memory usage: 12 MB
% 9.20/1.82 % (505699)Instructions burned: 112 (million)
% 9.20/1.82 % (505717)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=1485459587:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/1254Mi)
% 9.20/1.82 % (505689) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-505261-505689"...
% 9.20/1.82 % (505689)...printing done.
% 9.20/1.82 % (505720)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.20/1.82 % (505710)Instruction limit reached!
% 9.20/1.82 % (505710)------------------------------
% 9.20/1.82 % (505710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.82 % (505710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.82 % (505710)CaDiCaL version: 2.1.3
% 9.20/1.82 % (505710)Termination reason: Instruction limit
% 9.20/1.82 % (505710)Termination phase: Saturation
% 9.20/1.82 % (505710)Time elapsed: 0.076 s
% 9.20/1.82 % (505710)Peak memory usage: 12 MB
% 9.20/1.82 % (505710)Instructions burned: 234 (million)
% 9.20/1.82 % (505689)Refutation found. Thanks to Tanya!
% 9.20/1.82 % SZS status Theorem for theBenchmark
% 9.20/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 9.20/1.82 % (505689)------------------------------
% 9.20/1.82 % (505689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.20/1.82 % (505689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/1.82 % (505689)CaDiCaL version: 2.1.3
% 9.20/1.82 % (505689)Termination reason: Refutation
% 9.20/1.82 % (505689)Time elapsed: 0.150 s
% 9.20/1.82 % (505689)Peak memory usage: 13 MB
% 9.20/1.82 % (505689)Instructions burned: 173 (million)
% 9.20/1.82 % (505261)Success in time 1.543 s
% 9.20/1.82 % Vampire exiting
%------------------------------------------------------------------------------