%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO069^4.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:46:30 AM UTC 2026
% Result : Theorem 28.59s 4.54s
% Output : Refutation 28.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 30
% Syntax : Number of formulae : 355 ( 69 unt; 0 typ; 18 def)
% Number of atoms : 4643 ( 640 equ; 0 cnn)
% Maximal formula atoms : 54 ( 13 avg)
% Number of connectives : 7638 ( 741 ~;1085 |; 97 &;4474 @)
% ( 18 <=>; 624 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 214 ( 214 >; 0 *; 0 +; 0 <<)
% Number of symbols : 77 ( 73 usr; 22 con; 0-4 aty)
% ( 599 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1149 ( 12 sgn 223 !; 0 ?;1149 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
irel: $i > $i > $o ).
thf(func_def_2,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
iatom: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
inot: ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
itrue: $i > $o ).
thf(func_def_10,type,
ifalse: $i > $o ).
thf(func_def_11,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_16,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
ivalid: ( $i > $o ) > $o ).
thf(func_def_18,type,
isatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_20,type,
iinvalid: ( $i > $o ) > $o ).
thf(func_def_21,type,
a0: $i > $o ).
thf(func_def_22,type,
a1: $i > $o ).
thf(func_def_23,type,
b0: $i > $o ).
thf(func_def_24,type,
b1: $i > $o ).
thf(func_def_25,type,
f: $i > $o ).
thf(func_def_26,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_29,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_30,type,
vNOT: $o > $o ).
thf(func_def_31,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_32,type,
vIMP: $o > $o > $o ).
thf(func_def_33,type,
vAND: $o > $o > $o ).
thf(func_def_34,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vOR: $o > $o > $o ).
thf(func_def_41,type,
sK3: $i > $i ).
thf(func_def_42,type,
sK4: $i > $i ).
thf(func_def_43,type,
sK5: $i > $i ).
thf(func_def_44,type,
sK6: $i > $i ).
thf(func_def_45,type,
sK7: $i > $i ).
thf(func_def_46,type,
sK8: $i > $i ).
thf(func_def_47,type,
sK9: $i > $i ).
thf(func_def_48,type,
sK10: $i > $i > $i ).
thf(func_def_49,type,
sK11: $i > $i > $i ).
thf(func_def_50,type,
sK12: $i > $i ).
thf(func_def_51,type,
sK13: $i > $i ).
thf(func_def_52,type,
sK14: $i > $i ).
thf(func_def_53,type,
sK15: $i > $i ).
thf(func_def_54,type,
sK16: $i > $i ).
thf(func_def_55,type,
sK17: $i > $i > $i ).
thf(func_def_56,type,
sK18: $i > $i ).
thf(func_def_57,type,
sK19: $i > $i ).
thf(func_def_58,type,
sK20: $i > $i ).
thf(f1,axiom,
! [X0: $i] : ( irel @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',refl_axiom) ).
thf(f2,axiom,
! [X0: $i,X2: $i,X1: $i] :
( ( ( irel @ X0 @ X1 )
& ( irel @ X1 @ X2 ) )
=> ( irel @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',trans_axiom) ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mor) ).
thf(f5,axiom,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mand) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mimplies) ).
thf(f7,axiom,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mbox_s4) ).
thf(f8,axiom,
( iatom
= ( ^ [X0: $i > $o] : X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iatom) ).
thf(f12,axiom,
( iand
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mand @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iand) ).
thf(f14,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mimplies @ ( mbox_s4 @ X0 ) @ ( mbox_s4 @ X1 ) ) )
= iimplies ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iimplies) ).
thf(f18,axiom,
( ivalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ivalid) ).
thf(f22,conjecture,
ivalid @ ( iand @ ( iimplies @ ( iand @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) ) ) @ ( iatom @ f ) ) @ ( iimplies @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) ) ) @ ( iatom @ f ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f23,negated_conjecture,
~ ( ivalid @ ( iand @ ( iimplies @ ( iand @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) ) ) @ ( iatom @ f ) ) @ ( iimplies @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) ) ) @ ( iatom @ f ) ) ) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
thf(f24,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f25,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f31,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( irel @ X0 @ X2 )
& ( irel @ X2 @ X1 ) )
=> ( irel @ X0 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f32,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y0 @ Y1 )
& ( irel @ Y2 @ Y0 ) )
=> ( irel @ Y2 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f33,plain,
( ivalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f18]) ).
thf(f34,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f36,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f37,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f38,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(rectify,[],[f1]) ).
thf(f39,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f43,plain,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f44,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f43]) ).
thf(f45,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f46,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f45]) ).
thf(f49,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f51,plain,
( mand
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f52,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f53,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f55,plain,
~ ( ivalid @ ( iand @ ( iimplies @ ( iand @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) ) ) @ ( iatom @ f ) ) @ ( iimplies @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) ) ) @ ( iatom @ f ) ) ) ),
inference(rectify,[],[f23]) ).
thf(f56,plain,
( $true
= ( ~ ( ivalid @ ( iand @ ( iimplies @ ( iand @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) ) ) @ ( iatom @ f ) ) @ ( iimplies @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) ) ) @ ( iatom @ f ) ) ) ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f57,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f53]) ).
thf(f60,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f49]) ).
thf(f62,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f63,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f44]) ).
thf(f65,plain,
( $true
= ( ~ ( ivalid @ ( iand @ ( iimplies @ ( iand @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) ) ) @ ( iatom @ f ) ) @ ( iimplies @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b0 ) @ ( iatom @ a1 ) ) @ ( iatom @ a0 ) ) @ ( iand @ ( iimplies @ ( iimplies @ ( iatom @ b1 ) @ ( iatom @ b0 ) ) @ ( iatom @ a1 ) ) @ ( iimplies @ ( iatom @ a0 ) @ ( iatom @ f ) ) ) ) @ ( iatom @ f ) ) ) ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f66,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f67,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f70,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f71,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f74,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f77,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f78,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y0 @ Y1 )
& ( irel @ Y2 @ Y0 ) )
=> ( irel @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f81,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f57,f77,f67]) ).
thf(f84,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 ) ) ),
inference(definition_unfolding,[],[f70,f62]) ).
thf(f86,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f66,f81,f63,f63]) ).
thf(f90,plain,
( $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 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a0 )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b1 )
@ ( ^ [Y0: $i > $o] : Y0
@ b0 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b0 )
@ ( ^ [Y0: $i > $o] : Y0
@ a1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a0 ) ) ) )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b0 )
@ ( ^ [Y0: $i > $o] : Y0
@ a1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a0 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
& ( Y2 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b1 )
@ ( ^ [Y0: $i > $o] : Y0
@ b0 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a0 )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) ) ) )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) ) ) ) ) ),
inference(definition_unfolding,[],[f65,f74,f84,f86,f84,f86,f60,f60,f84,f86,f86,f60,f60,f60,f86,f86,f60,f60,f60,f60,f86,f84,f86,f86,f60,f60,f60,f84,f86,f86,f60,f60,f60,f86,f60,f60,f60]) ).
thf(f91,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f90]) ).
thf(f96,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f91]) ).
thf(f98,definition,
( spl0_2
<=> ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f99,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f98]) ).
thf(f100,plain,
spl0_2,
inference(avatar_split_clause,[],[f71,f98]) ).
thf(f102,definition,
( spl0_3
<=> ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y0 @ Y1 )
& ( irel @ Y2 @ Y0 ) )
=> ( irel @ Y2 @ Y1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f103,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y0 @ Y1 )
& ( irel @ Y2 @ Y0 ) )
=> ( irel @ Y2 @ Y1 ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f102]) ).
thf(f104,plain,
spl0_3,
inference(avatar_split_clause,[],[f78,f102]) ).
thf(f106,definition,
( spl0_4
<=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f107,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f108,plain,
spl0_4,
inference(avatar_split_clause,[],[f96,f106]) ).
thf(f109,plain,
( ( $false
= ( ^ [Y0: $i] :
( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b0 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) )
@ sK1 ) )
| ~ spl0_4 ),
inference(sigma_proxy_clausification,[],[f107]) ).
thf(f110,plain,
( ( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(beta-eta_normalization,[],[f109]) ).
thf(f111,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) ) )
= $false )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) ) )
= $false )
| ~ spl0_4 ),
inference(and_proxy_clausification,[],[f110]) ).
thf(f112,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) )
= $false )
| ~ spl0_4 ),
inference(or_proxy_clausification,[],[f111]) ).
thf(f113,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) ) )
= $false )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) ) )
= $false )
| ~ spl0_4 ),
inference(or_proxy_clausification,[],[f111]) ).
thf(f114,plain,
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(not_proxy_clausification,[],[f113]) ).
thf(f115,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) )
= $false )
| ~ spl0_4 ),
inference(or_proxy_clausification,[],[f112]) ).
thf(f117,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) )
= $false )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f115]) ).
thf(f119,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(or_proxy_clausification,[],[f114]) ).
thf(f121,definition,
( spl0_5
<=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f122,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( f @ Y0 ) ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f123,plain,
( spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f117,f106,f121]) ).
thf(f126,definition,
( spl0_6
<=> ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f127,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f129,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(not_proxy_clausification,[],[f119]) ).
thf(f131,definition,
( spl0_7
<=> ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f132,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f131]) ).
thf(f134,plain,
( spl0_7
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f129,f106,f126,f131]) ).
thf(f147,plain,
( ! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) ) ) )
@ X1 ) )
| ~ spl0_7 ),
inference(pi_proxy_clausification,[],[f132]) ).
thf(f148,plain,
( ! [X1: $i] :
( $true
= ( ( irel @ sK1 @ X1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) ) ) ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f149,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) ) ) ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f148]) ).
thf(f150,plain,
( ! [X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(and_proxy_clausification,[],[f149]) ).
thf(f151,plain,
( ! [X1: $i] :
( ( $true
= ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(and_proxy_clausification,[],[f149]) ).
thf(f152,plain,
( ! [X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(or_proxy_clausification,[],[f150]) ).
thf(f153,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) ) )
| ~ spl0_7 ),
inference(and_proxy_clausification,[],[f151]) ).
thf(f154,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) ) )
| ~ spl0_7 ),
inference(and_proxy_clausification,[],[f151]) ).
thf(f155,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(not_proxy_clausification,[],[f152]) ).
thf(f156,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(or_proxy_clausification,[],[f153]) ).
thf(f157,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) ) ) ) )
| ~ spl0_7 ),
inference(or_proxy_clausification,[],[f154]) ).
thf(f158,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(not_proxy_clausification,[],[f156]) ).
thf(f159,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(not_proxy_clausification,[],[f157]) ).
thf(f160,plain,
( ! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( irel @ Y0 @ Y0 )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_proxy_clausification,[],[f99]) ).
thf(f161,plain,
( ! [X1: $i] :
( $true
= ( irel @ X1 @ X1 ) )
| ~ spl0_2 ),
inference(beta-eta_normalization,[],[f160]) ).
thf(f164,plain,
( ( $true = $false )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ~ spl0_5
| ~ spl0_7 ),
inference(constrained_superposition,[],[f122,f155]) ).
thf(f167,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ~ spl0_5
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f170,definition,
( spl0_10
<=> ( ( irel @ sK1 @ sK1 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f171,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f170]) ).
thf(f173,definition,
( spl0_11
<=> ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f174,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f173]) ).
thf(f176,plain,
( spl0_10
| spl0_11
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f167,f131,f121,f173,f170]) ).
thf(f224,plain,
( ! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b0 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a0 @ Y1 ) ) ) ) ) )
@ X1 ) )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f127]) ).
thf(f225,plain,
( ! [X1: $i] :
( $true
= ( ( irel @ sK1 @ X1 )
=> ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f224]) ).
thf(f226,plain,
( ! [X1: $i] :
( ( $true
= ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f225]) ).
thf(f227,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) ) )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f226]) ).
thf(f228,plain,
( ! [X1: $i] :
( ( $true
= ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) )
& ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f226]) ).
thf(f229,plain,
( ! [X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f228]) ).
thf(f230,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) ) ) )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f228]) ).
thf(f231,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(or_proxy_clausification,[],[f227]) ).
thf(f232,plain,
( ! [X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(or_proxy_clausification,[],[f230]) ).
thf(f233,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(or_proxy_clausification,[],[f229]) ).
thf(f234,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(not_proxy_clausification,[],[f231]) ).
thf(f235,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) )
= $false ) )
| ~ spl0_6 ),
inference(not_proxy_clausification,[],[f232]) ).
thf(f236,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(not_proxy_clausification,[],[f233]) ).
thf(f237,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) )
@ ( sK4 @ X1 ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f234]) ).
thf(f240,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( ( irel @ X1 @ ( sK4 @ X1 ) )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
= $false ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f237]) ).
thf(f242,plain,
( ! [X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f240]) ).
thf(f243,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( irel @ X1 @ ( sK4 @ X1 ) ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f240]) ).
thf(f248,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(or_proxy_clausification,[],[f242]) ).
thf(f249,plain,
( ! [X1: $i] :
( ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(or_proxy_clausification,[],[f242]) ).
thf(f250,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(not_proxy_clausification,[],[f249]) ).
thf(f252,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) )
@ X2 ) )
| ( $true
= ( irel @ X1 @ ( sK4 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f243]) ).
thf(f253,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( irel @ X1 @ ( sK4 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( a0 @ X2 ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f252]) ).
thf(f254,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( irel @ X1 @ ( sK4 @ X1 ) ) )
| ( $true
= ( a0 @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f253]) ).
thf(f256,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_10 ),
inference(constrained_superposition,[],[f171,f161]) ).
thf(f259,plain,
( $false
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f256]) ).
thf(f260,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f259]) ).
thf(f263,plain,
( ( $true = $false )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_5
| ~ spl0_6 ),
inference(constrained_superposition,[],[f235,f122]) ).
thf(f266,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f263]) ).
thf(f269,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f266,f161]) ).
thf(f270,plain,
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f269]) ).
thf(f274,plain,
( spl0_11
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f270,f126,f121,f98,f173]) ).
thf(f320,definition,
( spl0_17
<=> ( ( a0 @ ( sK3 @ sK1 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f321,plain,
( ( ( a0 @ ( sK3 @ sK1 ) )
= $false )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f320]) ).
thf(f363,plain,
( ! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y0 @ Y1 )
& ( irel @ Y2 @ Y0 ) )
=> ( irel @ Y2 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_3 ),
inference(pi_proxy_clausification,[],[f103]) ).
thf(f364,plain,
( ! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( irel @ X1 @ Y0 )
& ( irel @ Y1 @ X1 ) )
=> ( irel @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f363]) ).
thf(f378,plain,
( ! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( irel @ X1 @ Y0 )
& ( irel @ Y1 @ X1 ) )
=> ( irel @ Y1 @ Y0 ) ) )
@ X2 ) )
| ~ spl0_3 ),
inference(pi_proxy_clausification,[],[f364]) ).
thf(f379,plain,
( ! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ Y0 @ X1 ) )
=> ( irel @ Y0 @ X2 ) ) ) )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f378]) ).
thf(f400,plain,
( ( ( ^ [Y0: $i] :
( ( irel @ sK1 @ Y0 )
=> ( a0 @ Y0 ) )
@ ( sK3 @ sK1 ) )
= $false )
| ~ spl0_11 ),
inference(sigma_proxy_clausification,[],[f174]) ).
thf(f402,plain,
( ( ( ( irel @ sK1 @ ( sK3 @ sK1 ) )
=> ( a0 @ ( sK3 @ sK1 ) ) )
= $false )
| ~ spl0_11 ),
inference(beta-eta_normalization,[],[f400]) ).
thf(f404,plain,
( ( ( a0 @ ( sK3 @ sK1 ) )
= $false )
| ~ spl0_11 ),
inference(imp_proxy_clausification,[],[f402]) ).
thf(f405,plain,
( ( $true
= ( irel @ sK1 @ ( sK3 @ sK1 ) ) )
| ~ spl0_11 ),
inference(imp_proxy_clausification,[],[f402]) ).
thf(f407,definition,
( spl0_19
<=> ( $true
= ( irel @ sK1 @ ( sK3 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f408,plain,
( ( $true
= ( irel @ sK1 @ ( sK3 @ sK1 ) ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f407]) ).
thf(f409,plain,
( spl0_19
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f405,f173,f407]) ).
thf(f410,plain,
( spl0_17
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f404,f173,f320]) ).
thf(f455,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ Y0 @ X1 ) )
=> ( irel @ Y0 @ X2 ) )
@ X3 ) )
| ~ spl0_3 ),
inference(pi_proxy_clausification,[],[f379]) ).
thf(f456,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( ( irel @ X1 @ X2 )
& ( irel @ X3 @ X1 ) )
=> ( irel @ X3 @ X2 ) ) )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f455]) ).
thf(f457,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( ( irel @ X1 @ X2 )
& ( irel @ X3 @ X1 ) )
= $false )
| ( $true
= ( irel @ X3 @ X2 ) ) )
| ~ spl0_3 ),
inference(imp_proxy_clausification,[],[f456]) ).
thf(f458,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( irel @ X3 @ X2 ) )
| ( ( irel @ X3 @ X1 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) )
| ~ spl0_3 ),
inference(and_proxy_clausification,[],[f457]) ).
thf(f496,plain,
( ! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) )
@ ( sK5 @ X1 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(sigma_proxy_clausification,[],[f158]) ).
thf(f499,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( ( irel @ X1 @ ( sK5 @ X1 ) )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) ) )
= $false ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f496]) ).
thf(f501,plain,
( ! [X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f499]) ).
thf(f502,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( $true
= ( irel @ X1 @ ( sK5 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f499]) ).
thf(f503,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(or_proxy_clausification,[],[f501]) ).
thf(f506,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) )
@ ( sK4 @ X1 ) )
= $false ) )
| ~ spl0_7 ),
inference(sigma_proxy_clausification,[],[f159]) ).
thf(f509,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( ( irel @ X1 @ ( sK4 @ X1 ) )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
= $false ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f506]) ).
thf(f511,plain,
( ! [X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f509]) ).
thf(f512,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( irel @ X1 @ ( sK4 @ X1 ) ) ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f509]) ).
thf(f513,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(or_proxy_clausification,[],[f511]) ).
thf(f514,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(or_proxy_clausification,[],[f511]) ).
thf(f515,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(not_proxy_clausification,[],[f514]) ).
thf(f606,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( irel @ X1 @ ( sK5 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) )
@ X2 ) ) )
| ~ spl0_7 ),
inference(pi_proxy_clausification,[],[f502]) ).
thf(f607,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( irel @ X1 @ ( sK5 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( a1 @ X2 ) ) ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f606]) ).
thf(f608,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( irel @ X1 @ ( sK5 @ X1 ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( a1 @ X2 ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f607]) ).
thf(f737,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ( $true = $false )
| ~ spl0_7
| ~ spl0_11 ),
inference(constrained_superposition,[],[f512,f174]) ).
thf(f743,plain,
( ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f737]) ).
thf(f747,plain,
( ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f743,f161]) ).
thf(f748,plain,
( ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f747]) ).
thf(f752,definition,
( spl0_42
<=> ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f753,plain,
( ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f752]) ).
thf(f754,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f748,f173,f131,f98,f752]) ).
thf(f794,definition,
( spl0_47
<=> ! [X0: $i] :
( ( ( irel @ sK1 @ X0 )
= $false )
| ( $true
= ( a0 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f795,plain,
( ! [X0: $i] :
( ( ( irel @ sK1 @ X0 )
= $false )
| ( $true
= ( a0 @ X0 ) ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f794]) ).
thf(f1074,definition,
( spl0_66
<=> ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1075,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1074]) ).
thf(f1677,plain,
( ( $true
= ( a0 @ ( sK3 @ sK1 ) ) )
| ( $true = $false )
| ~ spl0_19
| ~ spl0_47 ),
inference(constrained_superposition,[],[f795,f408]) ).
thf(f1698,plain,
( ( $true
= ( a0 @ ( sK3 @ sK1 ) ) )
| ~ spl0_19
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f1677]) ).
thf(f1719,plain,
( ( $true = $false )
| ~ spl0_17
| ~ spl0_19
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1698,f321]) ).
thf(f1720,plain,
( $false
| ~ spl0_17
| ~ spl0_19
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f1719]) ).
thf(f1721,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1720]) ).
thf(f1821,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) )
@ ( sK6 @ X1 ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(sigma_proxy_clausification,[],[f503]) ).
thf(f1825,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) )
=> ( b0 @ ( sK6 @ X1 ) ) )
= $false ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f1821]) ).
thf(f1826,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( b0 @ ( sK6 @ X1 ) )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f1825]) ).
thf(f1827,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f1825]) ).
thf(f1862,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) )
@ ( sK7 @ X1 ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(sigma_proxy_clausification,[],[f513]) ).
thf(f1870,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( ( irel @ ( sK4 @ X1 ) @ ( sK7 @ X1 ) )
=> ( a1 @ ( sK7 @ X1 ) ) )
= $false ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f1862]) ).
thf(f1875,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( a1 @ ( sK7 @ X1 ) )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f1870]) ).
thf(f1876,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true
= ( irel @ ( sK4 @ X1 ) @ ( sK7 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f1870]) ).
thf(f1877,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) )
@ X2 ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(pi_proxy_clausification,[],[f515]) ).
thf(f1880,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ( irel @ ( sK4 @ X1 ) @ X2 )
=> ( b0 @ X2 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f1877]) ).
thf(f1881,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( b0 @ X2 ) )
| ( ( irel @ ( sK4 @ X1 ) @ X2 )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f1880]) ).
thf(f1885,plain,
( ! [X0: $i] :
( ( $true
= ( b0 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true = $false ) )
| ~ spl0_7
| ~ spl0_11 ),
inference(constrained_superposition,[],[f174,f1881]) ).
thf(f1887,plain,
( ! [X0: $i] :
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( b0 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false ) )
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1885]) ).
thf(f1892,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( b0 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1887,f161]) ).
thf(f1893,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( b0 @ X0 ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1892]) ).
thf(f2116,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( b0 @ X0 ) )
| ( ( irel @ X1 @ X0 )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X1 )
= $false ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(constrained_superposition,[],[f1893,f458]) ).
thf(f2132,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X1 )
= $false )
| ( ( irel @ X1 @ X0 )
= $false )
| ( $true
= ( b0 @ X0 ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f2116]) ).
thf(f3895,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) )
@ X2 ) )
| ( ( b0 @ ( sK6 @ X1 ) )
= $false ) )
| ~ spl0_7 ),
inference(pi_proxy_clausification,[],[f1826]) ).
thf(f3899,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( ( irel @ X1 @ X2 )
=> ( a1 @ X2 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( b0 @ ( sK6 @ X1 ) )
= $false ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f3895]) ).
thf(f3901,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( a1 @ X2 ) )
| ( ( b0 @ ( sK6 @ X1 ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f3899]) ).
thf(f3903,plain,
( ( $true = $false )
| ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_7
| ~ spl0_11 ),
inference(constrained_superposition,[],[f1875,f174]) ).
thf(f3907,plain,
( ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f3903]) ).
thf(f3912,plain,
( ( $true = $false )
| ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f3907,f161]) ).
thf(f3913,plain,
( ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f3912]) ).
thf(f3918,definition,
( spl0_177
<=> ( ( a1 @ ( sK7 @ sK1 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f3919,plain,
( ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f3918]) ).
thf(f3920,plain,
( spl0_177
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f3913,f173,f131,f98,f3918]) ).
thf(f4014,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) )
@ X2 ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) ) )
| ~ spl0_7 ),
inference(pi_proxy_clausification,[],[f1827]) ).
thf(f4018,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( a1 @ X2 ) ) ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f4014]) ).
thf(f4020,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( a1 @ X2 ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f4018]) ).
thf(f4026,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ( $true = $false )
| ~ spl0_7
| ~ spl0_11 ),
inference(constrained_superposition,[],[f174,f1876]) ).
thf(f4029,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f4026]) ).
thf(f4034,plain,
( ( $true = $false )
| ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f4029,f161]) ).
thf(f4035,plain,
( ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f4034]) ).
thf(f4039,definition,
( spl0_180
<=> ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f4040,plain,
( ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f4039]) ).
thf(f4041,plain,
( spl0_180
| ~ spl0_2
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f4035,f173,f131,f98,f4039]) ).
thf(f4367,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true = $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false ) )
| ~ spl0_7
| ~ spl0_42 ),
inference(constrained_superposition,[],[f3901,f753]) ).
thf(f4391,plain,
( ! [X0: $i] :
( ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_7
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f4367]) ).
thf(f4410,definition,
( spl0_200
<=> ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f4411,plain,
( ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f4410]) ).
thf(f4416,plain,
( spl0_66
| spl0_200
| ~ spl0_7
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f4391,f752,f131,f4410,f1074]) ).
thf(f5272,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X1 )
= $false )
| ( $true
= ( a1 @ X1 ) )
| ( $true
= ( b0 @ X0 ) )
| ( $true = $false ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(constrained_superposition,[],[f2132,f608]) ).
thf(f5301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b0 @ X0 ) )
| ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X1 )
= $false )
| ( $true
= ( a1 @ X1 ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f5272]) ).
thf(f5314,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X1 )
= $false )
| ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false )
| ( $true
= ( a1 @ X1 ) )
| ( $true
= ( b0 @ X0 ) )
| ( $true = $false ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_42 ),
inference(forward_demodulation,[],[f5301,f753]) ).
thf(f5315,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b0 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X1 )
= $false )
| ( $true
= ( a1 @ X1 ) )
| ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f5314]) ).
thf(f5321,definition,
( spl0_224
<=> ! [X2: $i] :
( ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X2 )
= $false )
| ( $true
= ( b0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f5322,plain,
( ! [X2: $i] :
( ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X2 )
= $false )
| ( $true
= ( b0 @ X2 ) ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f5321]) ).
thf(f5326,plain,
( spl0_224
| spl0_66
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f5315,f752,f173,f131,f102,f98,f1074,f5321]) ).
thf(f5942,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( $true
= ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) ) ) )
| ~ spl0_7
| ~ spl0_224 ),
inference(constrained_superposition,[],[f4020,f5322]) ).
thf(f5952,plain,
( ! [X0: $i] :
( ( $true
= ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) ) )
| ( $true
= ( a1 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false ) )
| ~ spl0_7
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f5942]) ).
thf(f5958,plain,
( ! [X0: $i] :
( ( $true
= ( a1 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( $true = $false ) )
| ~ spl0_7
| ~ spl0_200
| ~ spl0_224 ),
inference(forward_demodulation,[],[f5952,f4411]) ).
thf(f5959,plain,
( ! [X0: $i] :
( ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_7
| ~ spl0_200
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f5958]) ).
thf(f5962,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) )
| ( $true = $false ) )
| ~ spl0_7
| ~ spl0_42
| ~ spl0_200
| ~ spl0_224 ),
inference(forward_demodulation,[],[f5959,f753]) ).
thf(f5963,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_7
| ~ spl0_42
| ~ spl0_200
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f5962]) ).
thf(f5966,plain,
( spl0_66
| ~ spl0_7
| ~ spl0_42
| ~ spl0_200
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f5963,f5321,f4410,f752,f131,f1074]) ).
thf(f6223,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ( $true = $false )
| ~ spl0_6
| ~ spl0_11 ),
inference(constrained_superposition,[],[f243,f174]) ).
thf(f6226,plain,
( ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f6223]) ).
thf(f6325,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b0 @ Y1 ) ) ) ) )
@ ( sK5 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f236]) ).
thf(f6329,plain,
( ! [X1: $i] :
( ( ( ( irel @ X1 @ ( sK5 @ X1 ) )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f6325]) ).
thf(f6330,plain,
( ! [X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f6329]) ).
thf(f6331,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( $true
= ( irel @ X1 @ ( sK5 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f6329]) ).
thf(f6332,plain,
( ! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(or_proxy_clausification,[],[f6330]) ).
thf(f6925,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( a1 @ Y0 ) )
@ ( sK7 @ X1 ) )
= $false ) )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f248]) ).
thf(f6926,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK1 @ ( sK4 @ X1 ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X0 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true
= ( irel @ ( sK4 @ X1 ) @ ( sK5 @ ( sK4 @ X1 ) ) ) )
| ( ( irel @ sK1 @ X0 )
= $false )
| ( $true = $false )
| ( ( ^ [Y0: $i] : X1 )
!= ( ^ [Y0: $i] : X0 ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f248,f6331]) ).
thf(f6930,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( ( irel @ ( sK4 @ X1 ) @ ( sK7 @ X1 ) )
=> ( a1 @ ( sK7 @ X1 ) ) )
= $false ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f6925]) ).
thf(f6931,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X0 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true
= ( irel @ ( sK4 @ X1 ) @ ( sK5 @ ( sK4 @ X1 ) ) ) )
| ( ( irel @ sK1 @ X0 )
= $false )
| ( ( irel @ sK1 @ ( sK4 @ X1 ) )
= $false )
| ( ( ^ [Y0: $i] : X1 )
!= ( ^ [Y0: $i] : X0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f6926]) ).
thf(f6934,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( a1 @ ( sK7 @ X1 ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f6930]) ).
thf(f6935,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( irel @ ( sK4 @ X1 ) @ ( sK7 @ X1 ) ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f6930]) ).
thf(f7019,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ ( sK4 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) )
@ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f250]) ).
thf(f7021,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ( irel @ ( sK4 @ X1 ) @ X2 )
=> ( b0 @ X2 ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f7019]) ).
thf(f7023,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) ) ) )
| ( $true
= ( b0 @ X2 ) )
| ( ( irel @ ( sK4 @ X1 ) @ X2 )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f7021]) ).
thf(f7024,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( irel @ ( sK4 @ X1 ) @ X2 )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( b0 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a0 @ Y0 ) )
@ X3 ) ) )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f7023]) ).
thf(f7033,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( irel @ ( sK4 @ X1 ) @ X2 )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( b0 @ X2 ) )
| ( $true
= ( ( irel @ X1 @ X3 )
=> ( a0 @ X3 ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f7024]) ).
thf(f7038,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( irel @ ( sK4 @ X1 ) @ X2 )
= $false )
| ( $true
= ( a0 @ X3 ) )
| ( ( irel @ X1 @ X3 )
= $false )
| ( $true
= ( b0 @ X2 ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f7033]) ).
thf(f7047,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b0 @ X1 ) )
| ( ( irel @ sK1 @ X0 )
= $false )
| ( ( irel @ ( sK4 @ X0 ) @ X2 )
= $false )
| ( $true
= ( a0 @ X3 ) )
| ( $true = $false )
| ( ( irel @ X2 @ X1 )
= $false )
| ( ( irel @ X0 @ X3 )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(constrained_superposition,[],[f458,f7038]) ).
thf(f7053,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ ( sK4 @ X0 ) @ X2 )
= $false )
| ( ( irel @ X2 @ X1 )
= $false )
| ( $true
= ( a0 @ X3 ) )
| ( ( irel @ X0 @ X3 )
= $false )
| ( ( irel @ sK1 @ X0 )
= $false )
| ( $true
= ( b0 @ X1 ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f7047]) ).
thf(f7246,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true = $false )
| ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ~ spl0_6
| ~ spl0_11 ),
inference(constrained_superposition,[],[f174,f6934]) ).
thf(f7250,plain,
( ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7246]) ).
thf(f7358,plain,
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ( $true = $false )
| ~ spl0_6
| ~ spl0_11 ),
inference(constrained_superposition,[],[f174,f6935]) ).
thf(f7361,plain,
( ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7358]) ).
thf(f7365,plain,
( ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f7361,f161]) ).
thf(f7366,plain,
( ( $true
= ( irel @ ( sK4 @ sK1 ) @ ( sK7 @ sK1 ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7365]) ).
thf(f7370,plain,
( spl0_180
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f7366,f173,f126,f98,f4039]) ).
thf(f7647,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK5 @ X1 ) @ Y0 )
=> ( b0 @ Y0 ) )
@ ( sK6 @ X1 ) )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f6332]) ).
thf(f7650,plain,
( ! [X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) )
=> ( b0 @ ( sK6 @ X1 ) ) )
= $false ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f7647]) ).
thf(f7652,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( b0 @ ( sK6 @ X1 ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f7650]) ).
thf(f7653,plain,
( ! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f7650]) ).
thf(f7780,plain,
( ! [X0: $i] :
( ( ( ^ [Y0: $i] : sK1 )
!= ( ^ [Y0: $i] : X0 ) )
| ( ( irel @ sK1 @ ( sK4 @ X0 ) )
= $false )
| ( $true
= ( irel @ ( sK4 @ X0 ) @ ( sK5 @ ( sK4 @ X0 ) ) ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true = $false ) )
| ~ spl0_6
| ~ spl0_11 ),
inference(constrained_superposition,[],[f6931,f174]) ).
thf(f7785,plain,
( ! [X0: $i] :
( ( ( ^ [Y0: $i] : sK1 )
!= ( ^ [Y0: $i] : X0 ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ( ( irel @ sK1 @ ( sK4 @ X0 ) )
= $false )
| ( $true
= ( irel @ ( sK4 @ X0 ) @ ( sK5 @ ( sK4 @ X0 ) ) ) ) )
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7780]) ).
thf(f7789,plain,
( ! [X0: $i] :
( ( $true
= ( irel @ ( sK4 @ X0 ) @ ( sK5 @ ( sK4 @ X0 ) ) ) )
| ( ( ^ [Y0: $i] : sK1 )
!= ( ^ [Y0: $i] : X0 ) )
| ( $true = $false )
| ( ( irel @ sK1 @ ( sK4 @ X0 ) )
= $false ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f7785,f161]) ).
thf(f7790,plain,
( ! [X0: $i] :
( ( ( ^ [Y0: $i] : sK1 )
!= ( ^ [Y0: $i] : X0 ) )
| ( $true
= ( irel @ ( sK4 @ X0 ) @ ( sK5 @ ( sK4 @ X0 ) ) ) )
| ( ( irel @ sK1 @ ( sK4 @ X0 ) )
= $false ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7789]) ).
thf(f7951,plain,
( ( $true = $false )
| ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f6226,f161]) ).
thf(f7952,plain,
( ( $true
= ( irel @ sK1 @ ( sK4 @ sK1 ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7951]) ).
thf(f7967,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f7952,f173,f126,f98,f752]) ).
thf(f8173,plain,
( ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ ( sK5 @ ( sK4 @ sK1 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(equality_resolution,[],[f7790]) ).
thf(f8175,plain,
( ( ( irel @ ( sK4 @ sK1 ) @ ( sK5 @ ( sK4 @ sK1 ) ) )
= $true )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_42 ),
inference(forward_demodulation,[],[f8173,f753]) ).
thf(f8176,plain,
( ( ( irel @ ( sK4 @ sK1 ) @ ( sK5 @ ( sK4 @ sK1 ) ) )
= $true )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f8175]) ).
thf(f8178,definition,
( spl0_279
<=> ( ( irel @ ( sK4 @ sK1 ) @ ( sK5 @ ( sK4 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f8179,plain,
( ( ( irel @ ( sK4 @ sK1 ) @ ( sK5 @ ( sK4 @ sK1 ) ) )
= $true )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f8178]) ).
thf(f8180,plain,
( spl0_279
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f8176,f752,f173,f126,f98,f8178]) ).
thf(f8186,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( a0 @ X1 ) )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false )
| ( $true = $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( b0 @ X0 ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_279 ),
inference(constrained_superposition,[],[f8179,f7053]) ).
thf(f8207,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( a0 @ X1 ) )
| ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false )
| ( $true
= ( b0 @ X0 ) ) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f8186]) ).
thf(f8213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( a0 @ X1 ) )
| ( $true = $false )
| ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false )
| ( $true
= ( b0 @ X0 ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_279 ),
inference(forward_demodulation,[],[f8207,f161]) ).
thf(f8214,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ ( sK5 @ ( sK4 @ sK1 ) ) @ X0 )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( a0 @ X1 ) )
| ( $true
= ( b0 @ X0 ) ) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f8213]) ).
thf(f8216,plain,
( spl0_47
| spl0_224
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f8214,f8178,f126,f102,f98,f5321,f794]) ).
thf(f8390,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) )
@ X2 ) )
| ( ( b0 @ ( sK6 @ X1 ) )
= $false ) )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f7652]) ).
thf(f8394,plain,
( ! [X2: $i,X1: $i] :
( ( ( b0 @ ( sK6 @ X1 ) )
= $false )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( a1 @ X2 ) ) )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f8390]) ).
thf(f8396,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( b0 @ ( sK6 @ X1 ) )
= $false )
| ( $true
= ( a1 @ X2 ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f8394]) ).
thf(f8402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( a0 @ X1 ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( ( irel @ sK1 @ sK1 )
= $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f8396,f254]) ).
thf(f8425,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK1 @ sK1 )
= $false )
| ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( a0 @ X1 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f8402]) ).
thf(f8772,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( a1 @ Y0 ) )
@ X2 ) )
| ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) ) )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f7653]) ).
thf(f8776,plain,
( ! [X2: $i,X1: $i] :
( ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( a1 @ X2 ) ) )
| ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f8772]) ).
thf(f8778,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( irel @ ( sK5 @ X1 ) @ ( sK6 @ X1 ) ) )
| ( $true
= ( a1 @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f8776]) ).
thf(f8787,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( $true
= ( a1 @ X0 ) )
| ( $true = $false )
| ( $true
= ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) ) ) )
| ~ spl0_6
| ~ spl0_224 ),
inference(constrained_superposition,[],[f8778,f5322]) ).
thf(f8813,plain,
( ! [X0: $i] :
( ( $true
= ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) ) )
| ( $true
= ( a1 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false ) )
| ~ spl0_6
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f8787]) ).
thf(f8831,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true = $false )
| ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_6
| ~ spl0_200
| ~ spl0_224 ),
inference(forward_demodulation,[],[f8813,f4411]) ).
thf(f8832,plain,
( ! [X0: $i] :
( ( ( irel @ sK1 @ ( sK4 @ sK1 ) )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_6
| ~ spl0_200
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f8831]) ).
thf(f8843,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false ) )
| ~ spl0_6
| ~ spl0_42
| ~ spl0_200
| ~ spl0_224 ),
inference(forward_demodulation,[],[f8832,f753]) ).
thf(f8844,plain,
( ! [X0: $i] :
( ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl0_6
| ~ spl0_42
| ~ spl0_200
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f8843]) ).
thf(f8851,plain,
( spl0_66
| ~ spl0_6
| ~ spl0_42
| ~ spl0_200
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f8844,f5321,f4410,f752,f126,f1074]) ).
thf(f9045,plain,
( ( $true = $false )
| ( $true
= ( a1 @ ( sK7 @ sK1 ) ) )
| ~ spl0_66
| ~ spl0_180 ),
inference(constrained_superposition,[],[f4040,f1075]) ).
thf(f9057,plain,
( ( $true
= ( a1 @ ( sK7 @ sK1 ) ) )
| ~ spl0_66
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f9045]) ).
thf(f9077,plain,
( ( $true = $false )
| ~ spl0_66
| ~ spl0_177
| ~ spl0_180 ),
inference(forward_demodulation,[],[f9057,f3919]) ).
thf(f9078,plain,
( $false
| ~ spl0_66
| ~ spl0_177
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f9077]) ).
thf(f9079,plain,
( ~ spl0_66
| ~ spl0_177
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f9078]) ).
thf(f9107,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( a1 @ X0 ) )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true = $false )
| ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false )
| ( $true
= ( a0 @ X1 ) ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f8425,f161]) ).
thf(f9108,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( a0 @ X1 ) )
| ( ( b0 @ ( sK6 @ ( sK4 @ sK1 ) ) )
= $false )
| ( ( irel @ sK1 @ X1 )
= $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( irel @ ( sK4 @ sK1 ) @ X0 )
= $false ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f9107]) ).
thf(f9118,plain,
( spl0_66
| spl0_47
| spl0_200
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f9108,f126,f98,f4410,f794,f1074]) ).
thf(f9178,plain,
( ( $true = $false )
| ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f7250,f161]) ).
thf(f9179,plain,
( ( ( a1 @ ( sK7 @ sK1 ) )
= $false )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f9178]) ).
thf(f9216,plain,
( spl0_177
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f9179,f173,f126,f98,f3918]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f100]) ).
cnf(s3,plain,
spl0_3,
inference(sat_conversion,[],[f104]) ).
cnf(s4,plain,
spl0_4,
inference(sat_conversion,[],[f108]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f123]) ).
cnf(s8,plain,
( ~ spl0_4
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f134]) ).
cnf(s12,plain,
( ~ spl0_5
| ~ spl0_7
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f176]) ).
cnf(s19,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(sat_conversion,[],[f260]) ).
cnf(s20,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f274]) ).
cnf(s34,plain,
( ~ spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f409]) ).
cnf(s35,plain,
( ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f410]) ).
cnf(s62,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| spl0_42 ),
inference(sat_conversion,[],[f754]) ).
cnf(s251,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_47 ),
inference(sat_conversion,[],[f1721]) ).
cnf(s579,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| spl0_177 ),
inference(sat_conversion,[],[f3920]) ).
cnf(s590,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_11
| spl0_180 ),
inference(sat_conversion,[],[f4041]) ).
cnf(s669,plain,
( ~ spl0_7
| ~ spl0_42
| spl0_66
| spl0_200 ),
inference(sat_conversion,[],[f4416]) ).
cnf(s767,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11
| ~ spl0_42
| spl0_66
| spl0_224 ),
inference(sat_conversion,[],[f5326]) ).
cnf(s862,plain,
( ~ spl0_7
| ~ spl0_42
| spl0_66
| ~ spl0_200
| ~ spl0_224 ),
inference(sat_conversion,[],[f5966]) ).
cnf(s957,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| spl0_180 ),
inference(sat_conversion,[],[f7370]) ).
cnf(s1041,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| spl0_42 ),
inference(sat_conversion,[],[f7967]) ).
cnf(s1079,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_42
| spl0_279 ),
inference(sat_conversion,[],[f8180]) ).
cnf(s1085,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| spl0_47
| spl0_224
| ~ spl0_279 ),
inference(sat_conversion,[],[f8216]) ).
cnf(s1148,plain,
( ~ spl0_6
| ~ spl0_42
| spl0_66
| ~ spl0_200
| ~ spl0_224 ),
inference(sat_conversion,[],[f8851]) ).
cnf(s1198,plain,
( ~ spl0_66
| ~ spl0_177
| ~ spl0_180 ),
inference(sat_conversion,[],[f9079]) ).
cnf(s1210,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_47
| spl0_66
| spl0_200 ),
inference(sat_conversion,[],[f9118]) ).
cnf(s1243,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| spl0_177 ),
inference(sat_conversion,[],[f9216]) ).
cnf(s1254,plain,
spl0_5,
inference(rat,[],[s5,s4]) ).
cnf(s1259,plain,
~ spl0_10,
inference(rat,[],[s19,s2]) ).
cnf(s1260,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(rat,[],[s862,s767,s669,s1198,s62,s579,s590,s2,s3]) ).
cnf(s1261,plain,
~ spl0_7,
inference(rat,[],[s1260,s12,s1254,s1259]) ).
cnf(s1262,plain,
spl0_6,
inference(rat,[],[s8,s4,s1261]) ).
cnf(s1266,plain,
spl0_11,
inference(rat,[],[s20,s2,s1254,s1262]) ).
cnf(s1269,plain,
spl0_17,
inference(rat,[],[s35,s1266]) ).
cnf(s1270,plain,
spl0_19,
inference(rat,[],[s34,s1266]) ).
cnf(s1271,plain,
spl0_177,
inference(rat,[],[s1243,s1262,s2,s1266]) ).
cnf(s1272,plain,
spl0_42,
inference(rat,[],[s1041,s1262,s2,s1266]) ).
cnf(s1273,plain,
spl0_180,
inference(rat,[],[s957,s1262,s2,s1266]) ).
cnf(s1275,plain,
~ spl0_47,
inference(rat,[],[s251,s1269,s1270]) ).
cnf(s1279,plain,
spl0_279,
inference(rat,[],[s1079,s1266,s1262,s2,s1272]) ).
cnf(s1280,plain,
~ spl0_66,
inference(rat,[],[s1198,s1271,s1273]) ).
cnf(s1284,plain,
spl0_224,
inference(rat,[],[s1085,s1279,s1262,s2,s3,s1275]) ).
cnf(s1286,plain,
spl0_200,
inference(rat,[],[s1210,s1280,s1262,s2,s1275]) ).
cnf(s1290,plain,
$false,
inference(rat,[],[s1148,s1284,s1272,s1262,s1280,s1286]) ).
thf(f9226,plain,
$false,
inference(avatar_sat_refutation,[],[s1290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO069^4.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.26 % Computer : n019.cluster.edu
% 0.13/0.26 % Model : x86_64 x86_64
% 0.13/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.26 % Memory : 8046.5625MB
% 0.13/0.26 % OS : Linux 6.8.0-71-generic
% 0.13/0.26 % CPULimit : 300
% 0.13/0.26 % WCLimit : 300
% 0.13/0.26 % DateTime : Tue Sep 29 16:29:33 UTC 2026
% 0.13/0.27 % CPUTime :
% 0.13/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.31 Running higher-order theorem proving
% 0.26/0.33 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.57 % (1004917)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.45/0.57 % (1004922)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4047841933:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.45/0.57 % (1004922)Instruction limit reached!
% 0.45/0.57 % (1004922)------------------------------
% 0.45/0.57 % (1004922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.57 % (1004922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.57 % (1004922)CaDiCaL version: 2.1.3
% 0.45/0.57 % (1004922)Termination reason: Instruction limit
% 0.45/0.57 % (1004922)Termination phase: Saturation
% 0.45/0.57 % (1004922)Time elapsed: 0.038 s
% 0.45/0.57 % (1004922)Peak memory usage: 13 MB
% 0.45/0.57 % (1004922)Instructions burned: 88 (million)
% 0.45/0.57 % (1004928)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.45/0.57 % (1004928)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.45/0.57 % (1004923)lrs+10_16_si=on:nwc=1.5:random_seed=202098:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.45/0.57 % (1004928)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=3529788230:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.45/0.57 % (1004924)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1418153491:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.45/0.57 % (1004924)Instruction limit reached!
% 0.45/0.57 % (1004924)------------------------------
% 0.45/0.57 % (1004924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.57 % (1004924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.57 % (1004924)CaDiCaL version: 2.1.3
% 0.45/0.57 % (1004924)Termination reason: Instruction limit
% 0.45/0.57 % (1004924)Termination phase: Saturation
% 0.45/0.57 % (1004924)Time elapsed: 0.007 s
% 0.45/0.57 % (1004924)Peak memory usage: 11 MB
% 0.45/0.57 % (1004924)Instructions burned: 9 (million)
% 0.45/0.57 % (1004925)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=690939799:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.45/0.57 % (1004923)Instruction limit reached!
% 0.45/0.57 % (1004923)------------------------------
% 0.45/0.57 % (1004923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.57 % (1004923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.57 % (1004923)CaDiCaL version: 2.1.3
% 0.45/0.57 % (1004923)Termination reason: Instruction limit
% 0.45/0.57 % (1004923)Termination phase: Saturation
% 0.45/0.57 % (1004923)Time elapsed: 0.014 s
% 0.45/0.57 % (1004923)Peak memory usage: 11 MB
% 0.45/0.57 % (1004923)Instructions burned: 18 (million)
% 0.45/0.57 % (1004926)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=134918339:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.45/0.57 % (1004927)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=785659065:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.45/0.57 % (1004926)Instruction limit reached!
% 0.45/0.57 % (1004926)------------------------------
% 0.45/0.57 % (1004926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.57 % (1004926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.57 % (1004926)CaDiCaL version: 2.1.3
% 0.45/0.57 % (1004926)Termination reason: Instruction limit
% 0.45/0.57 % (1004926)Termination phase: Saturation
% 0.45/0.57 % (1004926)Time elapsed: 0.022 s
% 0.45/0.57 % (1004926)Peak memory usage: 11 MB
% 0.45/0.57 % (1004926)Instructions burned: 24 (million)
% 0.45/0.57 % (1004935)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=403409843:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.45/0.57 % (1004935)Instruction limit reached!
% 0.45/0.57 % (1004935)------------------------------
% 0.45/0.57 % (1004935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.63 % (1004935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.63 % (1004935)CaDiCaL version: 2.1.3
% 1.22/0.63 % (1004935)Termination reason: Instruction limit
% 1.22/0.63 % (1004935)Termination phase: Property scanning
% 1.22/0.63 % (1004935)Time elapsed: 0.005 s
% 1.22/0.63 % (1004935)Peak memory usage: 10 MB
% 1.22/0.63 % (1004935)Instructions burned: 6 (million)
% 1.22/0.63 % (1004930)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3083428564:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.22/0.63 % (1004930)Instruction limit reached!
% 1.22/0.63 % (1004930)------------------------------
% 1.22/0.63 % (1004930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.63 % (1004930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.63 % (1004930)CaDiCaL version: 2.1.3
% 1.22/0.63 % (1004930)Termination reason: Instruction limit
% 1.22/0.63 % (1004930)Termination phase: Property scanning
% 1.22/0.63 % (1004930)Time elapsed: 0.002 s
% 1.22/0.63 % (1004930)Peak memory usage: 9 MB
% 1.22/0.63 % (1004930)Instructions burned: 2 (million)
% 1.22/0.63 % (1004936)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.22/0.63 % (1004939)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2047671402:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.22/0.63 % (1004928)Instruction limit reached!
% 1.22/0.63 % (1004928)------------------------------
% 1.22/0.63 % (1004928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.63 % (1004928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.63 % (1004928)CaDiCaL version: 2.1.3
% 1.22/0.63 % (1004928)Termination reason: Instruction limit
% 1.22/0.63 % (1004928)Termination phase: Saturation
% 1.22/0.63 % (1004928)Time elapsed: 0.071 s
% 1.22/0.63 % (1004928)Peak memory usage: 13 MB
% 1.22/0.63 % (1004928)Instructions burned: 159 (million)
% 1.22/0.63 % (1004939)Instruction limit reached!
% 1.22/0.63 % (1004939)------------------------------
% 1.22/0.63 % (1004939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.63 % (1004939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.63 % (1004939)CaDiCaL version: 2.1.3
% 1.22/0.63 % (1004939)Termination reason: Instruction limit
% 1.22/0.63 % (1004939)Termination phase: Saturation
% 1.22/0.63 % (1004939)Time elapsed: 0.006 s
% 1.22/0.63 % (1004939)Peak memory usage: 12 MB
% 1.22/0.63 % (1004939)Instructions burned: 14 (million)
% 1.22/0.63 % (1004941)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
% 1.22/0.63 % (1004941)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.22/0.63 % (1004936)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3758679360:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.22/0.63 % (1004941)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2560703790:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.22/0.63 % (1004945)lrs+10_1_si=on:cs=on:random_seed=1977499250:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.22/0.63 % (1004943)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=2751466035:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.22/0.63 % (1004945)Instruction limit reached!
% 1.22/0.63 % (1004945)------------------------------
% 1.22/0.63 % (1004945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.63 % (1004936)Instruction limit reached!
% 1.22/0.63 % (1004936)------------------------------
% 1.22/0.63 % (1004936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.63 % (1004945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.63 % (1004936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.68 % (1004945)CaDiCaL version: 2.1.3
% 1.22/0.68 % (1004936)CaDiCaL version: 2.1.3
% 1.22/0.68 % (1004945)Termination reason: Instruction limit
% 1.22/0.68 % (1004945)Termination phase: Saturation
% 1.22/0.68 % (1004936)Termination reason: Instruction limit
% 1.22/0.68 % (1004936)Termination phase: Saturation
% 1.22/0.68 % (1004936)Time elapsed: 0.013 s
% 1.22/0.68 % (1004945)Time elapsed: 0.006 s
% 1.22/0.68 % (1004945)Peak memory usage: 11 MB
% 1.22/0.68 % (1004936)Peak memory usage: 11 MB
% 1.22/0.68 % (1004945)Instructions burned: 17 (million)
% 1.22/0.68 % (1004936)Instructions burned: 11 (million)
% 1.22/0.68 % (1004946)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.22/0.68 % (1004941)Instruction limit reached!
% 1.22/0.68 % (1004941)------------------------------
% 1.22/0.68 % (1004941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.68 % (1004941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.68 % (1004941)CaDiCaL version: 2.1.3
% 1.22/0.68 % (1004941)Termination reason: Instruction limit
% 1.22/0.68 % (1004941)Termination phase: Saturation
% 1.22/0.68 % (1004941)Time elapsed: 0.022 s
% 1.22/0.68 % (1004941)Peak memory usage: 12 MB
% 1.22/0.68 % (1004941)Instructions burned: 28 (million)
% 1.22/0.68 % (1004946)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=1023100365:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.22/0.68 % (1004946)Instruction limit reached!
% 1.22/0.68 % (1004946)------------------------------
% 1.22/0.68 % (1004946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.68 % (1004946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.68 % (1004946)CaDiCaL version: 2.1.3
% 1.22/0.68 % (1004946)Termination reason: Instruction limit
% 1.22/0.68 % (1004946)Termination phase: Function definition elimination
% 1.22/0.68 % (1004946)Time elapsed: 0.003 s
% 1.22/0.68 % (1004946)Peak memory usage: 10 MB
% 1.22/0.68 % (1004946)Instructions burned: 3 (million)
% 1.22/0.68 % (1004952)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2153688204:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.22/0.68 % (1004952)Refutation not found, incomplete strategy
% 1.22/0.68 % (1004952)------------------------------
% 1.22/0.68 % (1004952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.68 % (1004952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.68 % (1004952)CaDiCaL version: 2.1.3
% 1.22/0.68 % (1004952)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.68 % (1004952)Time elapsed: 0.004 s
% 1.22/0.68 % (1004952)Peak memory usage: 12 MB
% 1.22/0.68 % (1004952)Instructions burned: 7 (million)
% 1.22/0.68 % (1004952)------------------------------
% 1.22/0.68 % (1004952)------------------------------
% 1.22/0.68 % (1004927)Instruction limit reached!
% 1.22/0.68 % (1004927)------------------------------
% 1.22/0.68 % (1004927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.68 % (1004927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.68 % (1004927)CaDiCaL version: 2.1.3
% 1.22/0.68 % (1004927)Termination reason: Instruction limit
% 1.22/0.68 % (1004927)Termination phase: Saturation
% 1.22/0.68 % (1004927)Time elapsed: 0.096 s
% 1.22/0.68 % (1004927)Peak memory usage: 13 MB
% 1.22/0.68 % (1004927)Instructions burned: 75 (million)
% 1.22/0.68 % (1004951)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2511634584:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.22/0.68 % (1004951)Refutation not found, incomplete strategy
% 1.22/0.68 % (1004951)------------------------------
% 1.22/0.68 % (1004951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.22/0.68 % (1004951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.22/0.68 % (1004951)CaDiCaL version: 2.1.3
% 1.22/0.68 % (1004951)Termination reason: Refutation not found, incomplete strategy
% 1.22/0.68 % (1004951)Time elapsed: 0.005 s
% 1.22/0.68 % (1004951)Peak memory usage: 12 MB
% 1.22/0.68 % (1004951)Instructions burned: 5 (million)
% 1.22/0.68 % (1004951)------------------------------
% 1.22/0.68 % (1004951)------------------------------
% 1.22/0.68 % (1004953)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3873957308:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.24/0.73 % (1004957)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1131906569:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 2.24/0.73 % (1004955)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2447770517:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.24/0.73 % (1004955)Instruction limit reached!
% 2.24/0.73 % (1004955)------------------------------
% 2.24/0.73 % (1004955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.73 % (1004955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.73 % (1004955)CaDiCaL version: 2.1.3
% 2.24/0.73 % (1004955)Termination reason: Instruction limit
% 2.24/0.73 % (1004955)Termination phase: Saturation
% 2.24/0.73 % (1004955)Time elapsed: 0.011 s
% 2.24/0.73 % (1004955)Peak memory usage: 11 MB
% 2.24/0.73 % (1004955)Instructions burned: 15 (million)
% 2.24/0.73 % (1004958)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=392750417:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.24/0.73 % (1004953)Instruction limit reached!
% 2.24/0.73 % (1004953)------------------------------
% 2.24/0.73 % (1004953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.73 % (1004953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.73 % (1004953)CaDiCaL version: 2.1.3
% 2.24/0.73 % (1004953)Termination reason: Instruction limit
% 2.24/0.73 % (1004953)Termination phase: Saturation
% 2.24/0.73 % (1004953)Time elapsed: 0.025 s
% 2.24/0.73 % (1004953)Peak memory usage: 12 MB
% 2.24/0.73 % (1004953)Instructions burned: 25 (million)
% 2.24/0.73 % (1004943)Instruction limit reached!
% 2.24/0.73 % (1004943)------------------------------
% 2.24/0.73 % (1004943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.73 % (1004943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.73 % (1004943)CaDiCaL version: 2.1.3
% 2.24/0.73 % (1004943)Termination reason: Instruction limit
% 2.24/0.73 % (1004943)Termination phase: Saturation
% 2.24/0.73 % (1004943)Time elapsed: 0.074 s
% 2.24/0.73 % (1004943)Peak memory usage: 13 MB
% 2.24/0.73 % (1004943)Instructions burned: 86 (million)
% 2.24/0.73 % (1004961)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1174546083:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.24/0.73 % (1004958)Instruction limit reached!
% 2.24/0.73 % (1004958)------------------------------
% 2.24/0.73 % (1004958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.73 % (1004958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.73 % (1004958)CaDiCaL version: 2.1.3
% 2.24/0.73 % (1004958)Termination reason: Instruction limit
% 2.24/0.73 % (1004958)Termination phase: Saturation
% 2.24/0.73 % (1004958)Time elapsed: 0.011 s
% 2.24/0.73 % (1004958)Peak memory usage: 11 MB
% 2.24/0.73 % (1004958)Instructions burned: 14 (million)
% 2.24/0.73 % (1004961)Instruction limit reached!
% 2.24/0.73 % (1004961)------------------------------
% 2.24/0.73 % (1004961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.73 % (1004961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.73 % (1004961)CaDiCaL version: 2.1.3
% 2.24/0.73 % (1004961)Termination reason: Instruction limit
% 2.24/0.73 % (1004961)Termination phase: Property scanning
% 2.24/0.73 % (1004961)Time elapsed: 0.002 s
% 2.24/0.73 % (1004961)Peak memory usage: 10 MB
% 2.24/0.73 % (1004961)Instructions burned: 2 (million)
% 2.24/0.73 % (1004964)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2462319314:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.24/0.73 % (1004966)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1050291818:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.24/0.73 % (1004969)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
% 2.24/0.73 % (1004969)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.57/0.80 % (1004967)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=933358355:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.57/0.80 % (1004970)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.57/0.80 % (1004969)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=785260957:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.57/0.80 % (1004970)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=1210589875:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.57/0.80 % (1004964)Instruction limit reached!
% 2.57/0.80 % (1004964)------------------------------
% 2.57/0.80 % (1004964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (1004964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (1004964)CaDiCaL version: 2.1.3
% 2.57/0.80 % (1004964)Termination reason: Instruction limit
% 2.57/0.80 % (1004964)Termination phase: Saturation
% 2.57/0.80 % (1004964)Time elapsed: 0.022 s
% 2.57/0.80 % (1004964)Peak memory usage: 12 MB
% 2.57/0.80 % (1004964)Instructions burned: 27 (million)
% 2.57/0.80 % (1004970)Instruction limit reached!
% 2.57/0.80 % (1004970)------------------------------
% 2.57/0.80 % (1004970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (1004970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (1004970)CaDiCaL version: 2.1.3
% 2.57/0.80 % (1004970)Termination reason: Instruction limit
% 2.57/0.80 % (1004970)Termination phase: Saturation
% 2.57/0.80 % (1004970)Time elapsed: 0.007 s
% 2.57/0.80 % (1004970)Peak memory usage: 11 MB
% 2.57/0.80 % (1004970)Instructions burned: 9 (million)
% 2.57/0.80 % (1004966)Instruction limit reached!
% 2.57/0.80 % (1004966)------------------------------
% 2.57/0.80 % (1004966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (1004966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (1004966)CaDiCaL version: 2.1.3
% 2.57/0.80 % (1004966)Termination reason: Instruction limit
% 2.57/0.80 % (1004966)Termination phase: Saturation
% 2.57/0.80 % (1004966)Time elapsed: 0.018 s
% 2.57/0.80 % (1004966)Peak memory usage: 11 MB
% 2.57/0.80 % (1004966)Instructions burned: 24 (million)
% 2.57/0.80 % (1004969)Instruction limit reached!
% 2.57/0.80 % (1004969)------------------------------
% 2.57/0.80 % (1004969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (1004969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (1004969)CaDiCaL version: 2.1.3
% 2.57/0.80 % (1004969)Termination reason: Instruction limit
% 2.57/0.80 % (1004969)Termination phase: Saturation
% 2.57/0.80 % (1004969)Time elapsed: 0.011 s
% 2.57/0.80 % (1004969)Peak memory usage: 11 MB
% 2.57/0.80 % (1004969)Instructions burned: 15 (million)
% 2.57/0.80 % (1004977)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3850368892:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.57/0.80 % (1004978)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3238505465:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.57/0.80 % (1004976)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=3398909269:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.57/0.80 % (1004977)Instruction limit reached!
% 2.57/0.80 % (1004977)------------------------------
% 2.57/0.80 % (1004977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (1004977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (1004977)CaDiCaL version: 2.1.3
% 2.57/0.80 % (1004977)Termination reason: Instruction limit
% 2.57/0.80 % (1004977)Termination phase: Saturation
% 2.57/0.80 % (1004977)Time elapsed: 0.006 s
% 2.57/0.80 % (1004977)Peak memory usage: 11 MB
% 2.57/0.80 % (1004977)Instructions burned: 7 (million)
% 2.57/0.80 % (1004967)Instruction limit reached!
% 2.57/0.80 % (1004967)------------------------------
% 2.57/0.80 % (1004967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.89 % (1004967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.89 % (1004967)CaDiCaL version: 2.1.3
% 2.57/0.89 % (1004967)Termination reason: Instruction limit
% 2.57/0.89 % (1004967)Termination phase: Saturation
% 2.57/0.89 % (1004967)Time elapsed: 0.055 s
% 2.57/0.89 % (1004967)Peak memory usage: 12 MB
% 2.57/0.89 % (1004967)Instructions burned: 60 (million)
% 2.57/0.89 % (1004978)Instruction limit reached!
% 2.57/0.89 % (1004978)------------------------------
% 2.57/0.89 % (1004978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.89 % (1004978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.89 % (1004978)CaDiCaL version: 2.1.3
% 2.57/0.89 % (1004978)Termination reason: Instruction limit
% 2.57/0.89 % (1004978)Termination phase: Saturation
% 2.57/0.89 % (1004978)Time elapsed: 0.017 s
% 2.57/0.89 % (1004978)Peak memory usage: 12 MB
% 2.57/0.89 % (1004978)Instructions burned: 23 (million)
% 2.57/0.89 % (1004979)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1044920204:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.57/0.89 % (1004976)Instruction limit reached!
% 2.57/0.89 % (1004976)------------------------------
% 2.57/0.89 % (1004976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.89 % (1004976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.89 % (1004976)CaDiCaL version: 2.1.3
% 2.57/0.89 % (1004976)Termination reason: Instruction limit
% 2.57/0.89 % (1004976)Termination phase: Saturation
% 2.57/0.89 % (1004976)Time elapsed: 0.028 s
% 2.57/0.89 % (1004976)Peak memory usage: 12 MB
% 2.57/0.89 % (1004976)Instructions burned: 31 (million)
% 2.57/0.89 % (1004957)Instruction limit reached!
% 2.57/0.89 % (1004957)------------------------------
% 2.57/0.89 % (1004957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.89 % (1004957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.89 % (1004957)CaDiCaL version: 2.1.3
% 2.57/0.89 % (1004957)Termination reason: Instruction limit
% 2.57/0.89 % (1004957)Termination phase: Saturation
% 2.57/0.89 % (1004957)Time elapsed: 0.140 s
% 2.57/0.89 % (1004957)Peak memory usage: 14 MB
% 2.57/0.89 % (1004957)Instructions burned: 327 (million)
% 2.57/0.89 % (1004983)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4170330109:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 2.57/0.89 % (1004979)Instruction limit reached!
% 2.57/0.89 % (1004979)------------------------------
% 2.57/0.89 % (1004979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.89 % (1004979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.89 % (1004979)CaDiCaL version: 2.1.3
% 2.57/0.89 % (1004979)Termination reason: Instruction limit
% 2.57/0.89 % (1004979)Termination phase: Saturation
% 2.57/0.89 % (1004979)Time elapsed: 0.020 s
% 2.57/0.89 % (1004979)Peak memory usage: 12 MB
% 2.57/0.89 % (1004979)Instructions burned: 20 (million)
% 2.57/0.89 % (1004984)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3784982178:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 2.57/0.89 % (1004985)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1217888996:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.57/0.89 % (1004988)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.57/0.89 % (1004988)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=897326654:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.57/0.89 % (1004988)Instruction limit reached!
% 2.57/0.89 % (1004988)------------------------------
% 2.57/0.89 % (1004988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.89 % (1004988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.89 % (1004988)CaDiCaL version: 2.1.3
% 2.57/0.89 % (1004988)Termination reason: Instruction limit
% 2.57/0.89 % (1004988)Termination phase: Saturation
% 2.57/0.89 % (1004988)Time elapsed: 0.003 s
% 2.57/0.89 % (1004988)Peak memory usage: 11 MB
% 2.57/0.89 % (1004988)Instructions burned: 8 (million)
% 2.57/0.89 % (1004985)Refutation not found, incomplete strategy
% 2.57/0.89 % (1004985)------------------------------
% 3.33/1.03 % (1004985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.03 % (1004985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.03 % (1004985)CaDiCaL version: 2.1.3
% 3.33/1.03 % (1004985)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.03 % (1004985)Time elapsed: 0.009 s
% 3.33/1.03 % (1004985)Peak memory usage: 12 MB
% 3.33/1.03 % (1004985)Instructions burned: 8 (million)
% 3.33/1.03 % (1004985)------------------------------
% 3.33/1.03 % (1004985)------------------------------
% 3.33/1.03 % (1004987)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1392939477:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.33/1.03 % (1004990)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3407757145:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.33/1.03 % (1004990)Refutation not found, incomplete strategy
% 3.33/1.03 % (1004990)------------------------------
% 3.33/1.03 % (1004990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.03 % (1004990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.03 % (1004990)CaDiCaL version: 2.1.3
% 3.33/1.03 % (1004990)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.03 % (1004990)Time elapsed: 0.006 s
% 3.33/1.03 % (1004990)Peak memory usage: 12 MB
% 3.33/1.03 % (1004990)Instructions burned: 5 (million)
% 3.33/1.03 % (1004990)------------------------------
% 3.33/1.03 % (1004990)------------------------------
% 3.33/1.03 % (1004996)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.33/1.03 % (1004994)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=3991061772:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.33/1.03 % (1004996)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3099012698:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.33/1.03 % (1004987)Instruction limit reached!
% 3.33/1.03 % (1004987)------------------------------
% 3.33/1.03 % (1004987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.03 % (1004987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.03 % (1004987)CaDiCaL version: 2.1.3
% 3.33/1.03 % (1004987)Termination reason: Instruction limit
% 3.33/1.03 % (1004987)Termination phase: Saturation
% 3.33/1.03 % (1004987)Time elapsed: 0.034 s
% 3.33/1.03 % (1004987)Peak memory usage: 12 MB
% 3.33/1.03 % (1004987)Instructions burned: 42 (million)
% 3.33/1.03 % (1004996)Instruction limit reached!
% 3.33/1.03 % (1004996)------------------------------
% 3.33/1.03 % (1004996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.03 % (1004996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.03 % (1004996)CaDiCaL version: 2.1.3
% 3.33/1.03 % (1004996)Termination reason: Instruction limit
% 3.33/1.03 % (1004996)Termination phase: Property scanning
% 3.33/1.03 % (1004996)Time elapsed: 0.005 s
% 3.33/1.03 % (1004996)Peak memory usage: 11 MB
% 3.33/1.03 % (1004996)Instructions burned: 6 (million)
% 3.33/1.03 % (1004994)Refutation not found, incomplete strategy
% 3.33/1.03 % (1004994)------------------------------
% 3.33/1.03 % (1004994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.03 % (1004994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.03 % (1004994)CaDiCaL version: 2.1.3
% 3.33/1.03 % (1004994)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.03 % (1004994)Time elapsed: 0.015 s
% 3.33/1.03 % (1004994)Peak memory usage: 12 MB
% 3.33/1.03 % (1004994)Instructions burned: 15 (million)
% 3.33/1.03 % (1004994)------------------------------
% 3.33/1.03 % (1004994)------------------------------
% 3.33/1.03 % (1004998)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3583616225:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.33/1.03 % (1005001)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1060986891:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 3.33/1.15 % (1005002)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=3480702563:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.33/1.15 % (1004998)Instruction limit reached!
% 3.33/1.15 % (1004998)------------------------------
% 3.33/1.15 % (1004998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.15 % (1004998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.15 % (1004998)CaDiCaL version: 2.1.3
% 3.33/1.15 % (1004998)Termination reason: Instruction limit
% 3.33/1.15 % (1004998)Termination phase: Saturation
% 3.33/1.15 % (1004998)Time elapsed: 0.019 s
% 3.33/1.15 % (1004998)Peak memory usage: 12 MB
% 3.33/1.15 % (1004998)Instructions burned: 23 (million)
% 3.33/1.15 % (1005003)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=3586531121:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 3.33/1.15 % (1005001)Instruction limit reached!
% 3.33/1.15 % (1005001)------------------------------
% 3.33/1.15 % (1005001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.15 % (1005001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.15 % (1005001)CaDiCaL version: 2.1.3
% 3.33/1.15 % (1005001)Termination reason: Instruction limit
% 3.33/1.15 % (1005001)Termination phase: Saturation
% 3.33/1.15 % (1005001)Time elapsed: 0.015 s
% 3.33/1.15 % (1005001)Peak memory usage: 12 MB
% 3.33/1.15 % (1005001)Instructions burned: 19 (million)
% 3.33/1.15 % (1004984)Instruction limit reached!
% 3.33/1.15 % (1004984)------------------------------
% 3.33/1.15 % (1004984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.15 % (1004984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.15 % (1004984)CaDiCaL version: 2.1.3
% 3.33/1.15 % (1004984)Termination reason: Instruction limit
% 3.33/1.15 % (1004984)Termination phase: Saturation
% 3.33/1.15 % (1004984)Time elapsed: 0.117 s
% 3.33/1.15 % (1004984)Peak memory usage: 13 MB
% 3.33/1.15 % (1004984)Instructions burned: 143 (million)
% 3.33/1.15 % (1005007)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=2948654863:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 3.33/1.15 % (1005009)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1266149682:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.33/1.15 % (1005009)Refutation not found, incomplete strategy
% 3.33/1.15 % (1005009)------------------------------
% 3.33/1.15 % (1005009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.15 % (1005009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.15 % (1005009)CaDiCaL version: 2.1.3
% 3.33/1.15 % (1005009)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.15 % (1005009)Time elapsed: 0.007 s
% 3.33/1.15 % (1005009)Peak memory usage: 12 MB
% 3.33/1.15 % (1005009)Instructions burned: 7 (million)
% 3.33/1.15 % (1005009)------------------------------
% 3.33/1.15 % (1005009)------------------------------
% 3.33/1.15 % (1005010)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2263422303:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 3.33/1.15 % (1005007)Instruction limit reached!
% 3.33/1.15 % (1005007)------------------------------
% 3.33/1.15 % (1005007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.33/1.15 % (1005007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.15 % (1005007)CaDiCaL version: 2.1.3
% 3.33/1.15 % (1005007)Termination reason: Instruction limit
% 3.33/1.15 % (1005007)Termination phase: Saturation
% 3.33/1.15 % (1005007)Time elapsed: 0.036 s
% 3.33/1.15 % (1005007)Peak memory usage: 12 MB
% 3.33/1.15 % (1005007)Instructions burned: 45 (million)
% 3.33/1.15 % (1005013)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.33/1.15 % (1005010)Instruction limit reached!
% 3.33/1.15 % (1005010)------------------------------
% 3.33/1.15 % (1005010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.25 % (1005010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.25 % (1005010)CaDiCaL version: 2.1.3
% 5.09/1.25 % (1005010)Termination reason: Instruction limit
% 5.09/1.25 % (1005010)Termination phase: Saturation
% 5.09/1.25 % (1005010)Time elapsed: 0.017 s
% 5.09/1.25 % (1005010)Peak memory usage: 12 MB
% 5.09/1.25 % (1005010)Instructions burned: 21 (million)
% 5.09/1.25 % (1005013)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=873002126:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.09/1.25 % (1005015)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2774791427:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 5.09/1.25 % (1005016)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=2912174611:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.09/1.25 % (1005015)Instruction limit reached!
% 5.09/1.25 % (1005015)------------------------------
% 5.09/1.25 % (1005015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.25 % (1005015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.25 % (1005015)CaDiCaL version: 2.1.3
% 5.09/1.25 % (1005015)Termination reason: Instruction limit
% 5.09/1.25 % (1005015)Termination phase: Saturation
% 5.09/1.25 % (1005015)Time elapsed: 0.013 s
% 5.09/1.25 % (1005015)Peak memory usage: 12 MB
% 5.09/1.25 % (1005015)Instructions burned: 13 (million)
% 5.09/1.25 % (1005020)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2356941698:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.09/1.25 % (1005016)Instruction limit reached!
% 5.09/1.25 % (1005016)------------------------------
% 5.09/1.25 % (1005016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.25 % (1005016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.25 % (1005016)CaDiCaL version: 2.1.3
% 5.09/1.25 % (1005016)Termination reason: Instruction limit
% 5.09/1.25 % (1005016)Termination phase: Saturation
% 5.09/1.25 % (1005016)Time elapsed: 0.051 s
% 5.09/1.25 % (1005016)Peak memory usage: 12 MB
% 5.09/1.25 % (1005016)Instructions burned: 66 (million)
% 5.09/1.25 % (1004925)Instruction limit reached!
% 5.09/1.25 % (1004925)------------------------------
% 5.09/1.25 % (1004925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.25 % (1004925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.25 % (1004925)CaDiCaL version: 2.1.3
% 5.09/1.25 % (1004925)Termination reason: Instruction limit
% 5.09/1.25 % (1004925)Termination phase: Saturation
% 5.09/1.25 % (1004925)Time elapsed: 0.558 s
% 5.09/1.25 % (1004925)Peak memory usage: 15 MB
% 5.09/1.25 % (1004925)Instructions burned: 635 (million)
% 5.09/1.25 % (1005020)Instruction limit reached!
% 5.09/1.25 % (1005020)------------------------------
% 5.09/1.25 % (1005020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.25 % (1005020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.25 % (1005020)CaDiCaL version: 2.1.3
% 5.09/1.25 % (1005020)Termination reason: Instruction limit
% 5.09/1.25 % (1005020)Termination phase: Saturation
% 5.09/1.25 % (1005020)Time elapsed: 0.041 s
% 5.09/1.25 % (1005020)Peak memory usage: 12 MB
% 5.09/1.25 % (1005020)Instructions burned: 51 (million)
% 5.09/1.25 % (1005022)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4036719418:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.09/1.25 % (1005023)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2017482256:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.09/1.25 % (1005024)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=3337504241:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.09/1.25 % (1005022)Instruction limit reached!
% 5.09/1.25 % (1005022)------------------------------
% 5.09/1.25 % (1005022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.25 % (1005022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.48 % (1005022)CaDiCaL version: 2.1.3
% 6.14/1.48 % (1005022)Termination reason: Instruction limit
% 6.14/1.48 % (1005022)Termination phase: Saturation
% 6.14/1.48 % (1005022)Time elapsed: 0.026 s
% 6.14/1.48 % (1005022)Peak memory usage: 12 MB
% 6.14/1.48 % (1005022)Instructions burned: 31 (million)
% 6.14/1.48 % (1005013)Instruction limit reached!
% 6.14/1.48 % (1005013)------------------------------
% 6.14/1.48 % (1005013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.48 % (1005013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.48 % (1005013)CaDiCaL version: 2.1.3
% 6.14/1.48 % (1005013)Termination reason: Instruction limit
% 6.14/1.48 % (1005013)Termination phase: Saturation
% 6.14/1.48 % (1005013)Time elapsed: 0.158 s
% 6.14/1.48 % (1005013)Peak memory usage: 12 MB
% 6.14/1.48 % (1005013)Instructions burned: 201 (million)
% 6.14/1.48 % (1005024)Instruction limit reached!
% 6.14/1.48 % (1005024)------------------------------
% 6.14/1.48 % (1005024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.48 % (1005024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.48 % (1005024)CaDiCaL version: 2.1.3
% 6.14/1.48 % (1005024)Termination reason: Instruction limit
% 6.14/1.48 % (1005024)Termination phase: Saturation
% 6.14/1.48 % (1005024)Time elapsed: 0.029 s
% 6.14/1.48 % (1005024)Peak memory usage: 12 MB
% 6.14/1.48 % (1005024)Instructions burned: 34 (million)
% 6.14/1.48 % (1005028)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3503286180:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 6.14/1.48 % (1005029)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 6.14/1.48 % (1005029)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2261356736:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 6.14/1.48 % (1005030)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2070081649:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 6.14/1.48 % (1005002)Instruction limit reached!
% 6.14/1.48 % (1005002)------------------------------
% 6.14/1.48 % (1005002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.48 % (1005002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.48 % (1005002)CaDiCaL version: 2.1.3
% 6.14/1.48 % (1005002)Termination reason: Instruction limit
% 6.14/1.48 % (1005002)Termination phase: Saturation
% 6.14/1.48 % (1005002)Time elapsed: 0.289 s
% 6.14/1.48 % (1005002)Peak memory usage: 15 MB
% 6.14/1.48 % (1005002)Instructions burned: 316 (million)
% 6.14/1.48 % (1005030)Refutation not found, incomplete strategy
% 6.14/1.48 % (1005030)------------------------------
% 6.14/1.48 % (1005030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.48 % (1005030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.48 % (1005030)CaDiCaL version: 2.1.3
% 6.14/1.48 % (1005030)Termination reason: Refutation not found, incomplete strategy
% 6.14/1.48 % (1005030)Time elapsed: 0.013 s
% 6.14/1.48 % (1005030)Peak memory usage: 12 MB
% 6.14/1.48 % (1005030)Instructions burned: 11 (million)
% 6.14/1.48 % (1005030)------------------------------
% 6.14/1.48 % (1005030)------------------------------
% 6.14/1.48 % (1005028)Instruction limit reached!
% 6.14/1.48 % (1005028)------------------------------
% 6.14/1.48 % (1005028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.48 % (1005028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.14/1.48 % (1005028)CaDiCaL version: 2.1.3
% 6.14/1.48 % (1005028)Termination reason: Instruction limit
% 6.14/1.48 % (1005028)Termination phase: Saturation
% 6.14/1.48 % (1005028)Time elapsed: 0.055 s
% 6.14/1.48 % (1005028)Peak memory usage: 12 MB
% 6.14/1.48 % (1005028)Instructions burned: 68 (million)
% 6.14/1.48 % (1005034)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2435650499:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 6.14/1.48 % (1005035)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=535360028:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 6.14/1.48 % (1005023)Instruction limit reached!
% 6.14/1.48 % (1005023)------------------------------
% 6.14/1.48 % (1005023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.14/1.48 % (1005023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.69 % (1005023)CaDiCaL version: 2.1.3
% 6.88/1.69 % (1005023)Termination reason: Instruction limit
% 6.88/1.69 % (1005023)Termination phase: Saturation
% 6.88/1.69 % (1005023)Time elapsed: 0.120 s
% 6.88/1.69 % (1005023)Peak memory usage: 13 MB
% 6.88/1.69 % (1005023)Instructions burned: 137 (million)
% 6.88/1.69 % (1005035)Refutation not found, incomplete strategy
% 6.88/1.69 % (1005035)------------------------------
% 6.88/1.69 % (1005035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.69 % (1005035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.69 % (1005035)CaDiCaL version: 2.1.3
% 6.88/1.69 % (1005035)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.69 % (1005035)Time elapsed: 0.006 s
% 6.88/1.69 % (1005035)Peak memory usage: 12 MB
% 6.88/1.69 % (1005036)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=677727463:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 6.88/1.69 % (1005035)Instructions burned: 5 (million)
% 6.88/1.69 % (1005035)------------------------------
% 6.88/1.69 % (1005035)------------------------------
% 6.88/1.69 % (1005039)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2038392787:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 6.88/1.69 % (1005041)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=737362342:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.88/1.69 % (1005003)Instruction limit reached!
% 6.88/1.69 % (1005003)------------------------------
% 6.88/1.69 % (1005003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.69 % (1005003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.69 % (1005003)CaDiCaL version: 2.1.3
% 6.88/1.69 % (1005003)Termination reason: Instruction limit
% 6.88/1.69 % (1005003)Termination phase: Saturation
% 6.88/1.69 % (1005003)Time elapsed: 0.388 s
% 6.88/1.69 % (1005003)Peak memory usage: 14 MB
% 6.88/1.69 % (1005003)Instructions burned: 853 (million)
% 6.88/1.69 % (1005041)Refutation not found, incomplete strategy
% 6.88/1.69 % (1005041)------------------------------
% 6.88/1.69 % (1005041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.69 % (1005041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.69 % (1005041)CaDiCaL version: 2.1.3
% 6.88/1.69 % (1005041)Termination reason: Refutation not found, incomplete strategy
% 6.88/1.69 % (1005041)Time elapsed: 0.019 s
% 6.88/1.69 % (1005041)Peak memory usage: 12 MB
% 6.88/1.69 % (1005041)Instructions burned: 23 (million)
% 6.88/1.69 % (1005041)------------------------------
% 6.88/1.69 % (1005041)------------------------------
% 6.88/1.69 % (1005034)Instruction limit reached!
% 6.88/1.69 % (1005034)------------------------------
% 6.88/1.69 % (1005034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.69 % (1005034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.69 % (1005034)CaDiCaL version: 2.1.3
% 6.88/1.69 % (1005034)Termination reason: Instruction limit
% 6.88/1.69 % (1005034)Termination phase: Saturation
% 6.88/1.69 % (1005034)Time elapsed: 0.080 s
% 6.88/1.69 % (1005034)Peak memory usage: 12 MB
% 6.88/1.69 % (1005034)Instructions burned: 97 (million)
% 6.88/1.69 % (1005029)Instruction limit reached!
% 6.88/1.69 % (1005029)------------------------------
% 6.88/1.69 % (1005029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.88/1.69 % (1005029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/1.69 % (1005029)CaDiCaL version: 2.1.3
% 6.88/1.69 % (1005029)Termination reason: Instruction limit
% 6.88/1.69 % (1005029)Termination phase: Saturation
% 6.88/1.69 % (1005029)Time elapsed: 0.136 s
% 6.88/1.69 % (1005029)Peak memory usage: 13 MB
% 6.88/1.69 % (1005029)Instructions burned: 181 (million)
% 6.88/1.69 % (1005044)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1540526271:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 6.88/1.69 % (1005045)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4126267951:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 6.88/1.69 % (1005046)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=22061763:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 6.88/1.69 % (1005045)Refutation not found, incomplete strategy
% 8.04/1.85 % (1005045)------------------------------
% 8.04/1.85 % (1005045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.85 % (1005045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.85 % (1005045)CaDiCaL version: 2.1.3
% 8.04/1.85 % (1005045)Termination reason: Refutation not found, incomplete strategy
% 8.04/1.85 % (1005045)Time elapsed: 0.007 s
% 8.04/1.85 % (1005045)Peak memory usage: 12 MB
% 8.04/1.85 % (1005045)Instructions burned: 7 (million)
% 8.04/1.85 % (1005045)------------------------------
% 8.04/1.85 % (1005045)------------------------------
% 8.04/1.85 % (1005047)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3398572591:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 8.04/1.85 % (1005051)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=239465062:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2990 on theBenchmark for (2990ds/65Mi)
% 8.04/1.85 % (1005044)Instruction limit reached!
% 8.04/1.85 % (1005044)------------------------------
% 8.04/1.85 % (1005044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.85 % (1005044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.85 % (1005044)CaDiCaL version: 2.1.3
% 8.04/1.85 % (1005044)Termination reason: Instruction limit
% 8.04/1.85 % (1005044)Termination phase: Saturation
% 8.04/1.85 % (1005044)Time elapsed: 0.039 s
% 8.04/1.85 % (1005044)Peak memory usage: 12 MB
% 8.04/1.85 % (1005044)Instructions burned: 45 (million)
% 8.04/1.85 % (1005051)Instruction limit reached!
% 8.04/1.85 % (1005051)------------------------------
% 8.04/1.85 % (1005051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.85 % (1005051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.85 % (1005051)CaDiCaL version: 2.1.3
% 8.04/1.85 % (1005051)Termination reason: Instruction limit
% 8.04/1.85 % (1005051)Termination phase: Saturation
% 8.04/1.85 % (1005051)Time elapsed: 0.030 s
% 8.04/1.85 % (1005051)Peak memory usage: 13 MB
% 8.04/1.85 % (1005051)Instructions burned: 67 (million)
% 8.04/1.85 % (1005054)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=2254953392: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_2990 on theBenchmark for (2990ds/105Mi)
% 8.04/1.85 % (1005055)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=2217473079:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2990 on theBenchmark for (2990ds/5755Mi)
% 8.04/1.85 % (1005047)Instruction limit reached!
% 8.04/1.85 % (1005047)------------------------------
% 8.04/1.85 % (1005047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.85 % (1005047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.85 % (1005047)CaDiCaL version: 2.1.3
% 8.04/1.85 % (1005047)Termination reason: Instruction limit
% 8.04/1.85 % (1005047)Termination phase: Saturation
% 8.04/1.85 % (1005047)Time elapsed: 0.079 s
% 8.04/1.85 % (1005047)Peak memory usage: 13 MB
% 8.04/1.85 % (1005047)Instructions burned: 95 (million)
% 8.04/1.85 % (1005058)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3932962684:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/375Mi)
% 8.04/1.85 % (1005054)Instruction limit reached!
% 8.04/1.85 % (1005054)------------------------------
% 8.04/1.85 % (1005054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.85 % (1005054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.85 % (1005054)CaDiCaL version: 2.1.3
% 8.04/1.85 % (1005054)Termination reason: Instruction limit
% 8.04/1.85 % (1005054)Termination phase: Saturation
% 8.04/1.85 % (1005054)Time elapsed: 0.090 s
% 8.04/1.85 % (1005054)Peak memory usage: 13 MB
% 8.04/1.85 % (1005054)Instructions burned: 106 (million)
% 8.04/1.85 % (1005060)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=295411984:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/495Mi)
% 8.04/1.85 % (1005039)Instruction limit reached!
% 9.51/2.04 % (1005039)------------------------------
% 9.51/2.04 % (1005039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.04 % (1005039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.04 % (1005039)CaDiCaL version: 2.1.3
% 9.51/2.04 % (1005039)Termination reason: Instruction limit
% 9.51/2.04 % (1005039)Termination phase: Saturation
% 9.51/2.04 % (1005039)Time elapsed: 0.301 s
% 9.51/2.04 % (1005039)Peak memory usage: 13 MB
% 9.51/2.04 % (1005039)Instructions burned: 516 (million)
% 9.51/2.04 % (1005062)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=1374000736:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 9.51/2.04 % (1005062)Instruction limit reached!
% 9.51/2.04 % (1005062)------------------------------
% 9.51/2.04 % (1005062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.04 % (1005062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.04 % (1005062)CaDiCaL version: 2.1.3
% 9.51/2.04 % (1005062)Termination reason: Instruction limit
% 9.51/2.04 % (1005062)Termination phase: Saturation
% 9.51/2.04 % (1005062)Time elapsed: 0.029 s
% 9.51/2.04 % (1005062)Peak memory usage: 12 MB
% 9.51/2.04 % (1005062)Instructions burned: 35 (million)
% 9.51/2.04 % (1005064)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=655921476:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/91Mi)
% 9.51/2.04 % (1005046)Instruction limit reached!
% 9.51/2.04 % (1005046)------------------------------
% 9.51/2.04 % (1005046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.04 % (1005046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.04 % (1005046)CaDiCaL version: 2.1.3
% 9.51/2.04 % (1005046)Termination reason: Instruction limit
% 9.51/2.04 % (1005046)Termination phase: Saturation
% 9.51/2.04 % (1005046)Time elapsed: 0.375 s
% 9.51/2.04 % (1005046)Peak memory usage: 15 MB
% 9.51/2.04 % (1005046)Instructions burned: 450 (million)
% 9.51/2.04 % (1005066)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1601664510:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2987 on theBenchmark for (2987ds/66Mi)
% 9.51/2.04 % (1005064)Instruction limit reached!
% 9.51/2.04 % (1005064)------------------------------
% 9.51/2.04 % (1005064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.04 % (1005064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.04 % (1005064)CaDiCaL version: 2.1.3
% 9.51/2.04 % (1005064)Termination reason: Instruction limit
% 9.51/2.04 % (1005064)Termination phase: Saturation
% 9.51/2.04 % (1005064)Time elapsed: 0.080 s
% 9.51/2.04 % (1005064)Peak memory usage: 13 MB
% 9.51/2.04 % (1005064)Instructions burned: 91 (million)
% 9.51/2.04 % (1004983)Instruction limit reached!
% 9.51/2.04 % (1004983)------------------------------
% 9.51/2.04 % (1004983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.04 % (1004983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.04 % (1004983)CaDiCaL version: 2.1.3
% 9.51/2.04 % (1004983)Termination reason: Instruction limit
% 9.51/2.04 % (1004983)Termination phase: Saturation
% 9.51/2.04 % (1004983)Time elapsed: 0.946 s
% 9.51/2.04 % (1004983)Peak memory usage: 14 MB
% 9.51/2.04 % (1004983)Instructions burned: 1240 (million)
% 9.51/2.04 % (1005066)Refutation not found, incomplete strategy
% 9.51/2.04 % (1005066)------------------------------
% 9.51/2.04 % (1005066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.04 % (1005066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.04 % (1005066)CaDiCaL version: 2.1.3
% 9.51/2.04 % (1005066)Termination reason: Refutation not found, incomplete strategy
% 9.51/2.04 % (1005066)Time elapsed: 0.005 s
% 9.51/2.04 % (1005066)Peak memory usage: 12 MB
% 9.51/2.04 % (1005066)Instructions burned: 5 (million)
% 9.51/2.04 % (1005066)------------------------------
% 9.51/2.04 % (1005066)------------------------------
% 9.51/2.04 % (1005058)Instruction limit reached!
% 9.51/2.04 % (1005058)------------------------------
% 9.51/2.04 % (1005058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.04 % (1005058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.04 % (1005058)CaDiCaL version: 2.1.3
% 9.51/2.04 % (1005058)Termination reason: Instruction limit
% 9.51/2.11 % (1005058)Termination phase: Saturation
% 9.51/2.11 % (1005058)Time elapsed: 0.320 s
% 9.51/2.11 % (1005058)Peak memory usage: 13 MB
% 9.51/2.11 % (1005058)Instructions burned: 375 (million)
% 9.51/2.11 % (1005068)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=947228143:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2986 on theBenchmark for (2986ds/22Mi)
% 9.51/2.11 % (1005069)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=1980637876:i=338:bd=all:ins=4:rtra=on_2986 on theBenchmark for (2986ds/338Mi)
% 9.51/2.11 % (1005070)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1105617323:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/28Mi)
% 9.51/2.11 % (1005068)Instruction limit reached!
% 9.51/2.11 % (1005068)------------------------------
% 9.51/2.11 % (1005068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.11 % (1005068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.11 % (1005068)CaDiCaL version: 2.1.3
% 9.51/2.11 % (1005068)Termination reason: Instruction limit
% 9.51/2.11 % (1005068)Termination phase: Saturation
% 9.51/2.11 % (1005068)Time elapsed: 0.018 s
% 9.51/2.11 % (1005068)Peak memory usage: 12 MB
% 9.51/2.11 % (1005068)Instructions burned: 22 (million)
% 9.51/2.11 % (1005071)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 9.51/2.11 % (1005070)Instruction limit reached!
% 9.51/2.11 % (1005070)------------------------------
% 9.51/2.11 % (1005070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.11 % (1005070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.11 % (1005070)CaDiCaL version: 2.1.3
% 9.51/2.11 % (1005070)Termination reason: Instruction limit
% 9.51/2.11 % (1005070)Termination phase: Saturation
% 9.51/2.11 % (1005070)Time elapsed: 0.022 s
% 9.51/2.11 % (1005070)Peak memory usage: 12 MB
% 9.51/2.11 % (1005070)Instructions burned: 29 (million)
% 9.51/2.11 % (1005071)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2805541901:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2986 on theBenchmark for (2986ds/137Mi)
% 9.51/2.11 % (1005075)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=1689025265:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/340Mi)
% 9.51/2.11 % (1005076)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1913789295:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 9.51/2.11 % (1005076)Refutation not found, incomplete strategy
% 9.51/2.11 % (1005076)------------------------------
% 9.51/2.11 % (1005076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.11 % (1005076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.11 % (1005076)CaDiCaL version: 2.1.3
% 9.51/2.11 % (1005076)Termination reason: Refutation not found, incomplete strategy
% 9.51/2.11 % (1005076)Time elapsed: 0.005 s
% 9.51/2.11 % (1005076)Peak memory usage: 12 MB
% 9.51/2.11 % (1005076)Instructions burned: 5 (million)
% 9.51/2.11 % (1005076)------------------------------
% 9.51/2.11 % (1005076)------------------------------
% 9.51/2.11 % (1005080)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 9.51/2.11 % (1005080)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2234335921:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/373Mi)
% 9.51/2.11 % (1005071)Instruction limit reached!
% 9.51/2.11 % (1005071)------------------------------
% 9.51/2.11 % (1005071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.51/2.11 % (1005071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.51/2.11 % (1005071)CaDiCaL version: 2.1.3
% 9.51/2.11 % (1005071)Termination reason: Instruction limit
% 9.51/2.11 % (1005071)Termination phase: Saturation
% 9.51/2.11 % (1005071)Time elapsed: 0.108 s
% 9.51/2.11 % (1005071)Peak memory usage: 12 MB
% 9.51/2.11 % (1005071)Instructions burned: 137 (million)
% 9.51/2.11 % (1005036)Instruction limit reached!
% 9.51/2.11 % (1005036)------------------------------
% 9.51/2.11 % (1005036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/2.41 % (1005036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.41 % (1005036)CaDiCaL version: 2.1.3
% 13.62/2.41 % (1005036)Termination reason: Instruction limit
% 13.62/2.41 % (1005036)Termination phase: Saturation
% 13.62/2.41 % (1005036)Time elapsed: 0.692 s
% 13.62/2.41 % (1005036)Peak memory usage: 15 MB
% 13.62/2.41 % (1005036)Instructions burned: 875 (million)
% 13.62/2.41 % (1005060)Instruction limit reached!
% 13.62/2.41 % (1005060)------------------------------
% 13.62/2.41 % (1005060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/2.41 % (1005060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.41 % (1005060)CaDiCaL version: 2.1.3
% 13.62/2.41 % (1005060)Termination reason: Instruction limit
% 13.62/2.41 % (1005060)Termination phase: Saturation
% 13.62/2.41 % (1005060)Time elapsed: 0.411 s
% 13.62/2.41 % (1005060)Peak memory usage: 14 MB
% 13.62/2.41 % (1005060)Instructions burned: 495 (million)
% 13.62/2.41 % (1005082)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1588503265:i=116:ep=RSTC:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/116Mi)
% 13.62/2.41 % (1005083)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=197749211:i=575:rtra=on_2984 on theBenchmark for (2984ds/575Mi)
% 13.62/2.41 % (1005084)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2176124486:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 13.62/2.41 % (1005082)Instruction limit reached!
% 13.62/2.41 % (1005082)------------------------------
% 13.62/2.41 % (1005082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/2.41 % (1005082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.41 % (1005082)CaDiCaL version: 2.1.3
% 13.62/2.41 % (1005082)Termination reason: Instruction limit
% 13.62/2.41 % (1005082)Termination phase: Saturation
% 13.62/2.41 % (1005082)Time elapsed: 0.098 s
% 13.62/2.41 % (1005082)Peak memory usage: 13 MB
% 13.62/2.41 % (1005082)Instructions burned: 116 (million)
% 13.62/2.41 % (1005075)Instruction limit reached!
% 13.62/2.41 % (1005075)------------------------------
% 13.62/2.41 % (1005075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/2.41 % (1005075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.41 % (1005075)CaDiCaL version: 2.1.3
% 13.62/2.41 % (1005075)Termination reason: Instruction limit
% 13.62/2.41 % (1005075)Termination phase: Saturation
% 13.62/2.41 % (1005075)Time elapsed: 0.252 s
% 13.62/2.41 % (1005075)Peak memory usage: 13 MB
% 13.62/2.41 % (1005075)Instructions burned: 341 (million)
% 13.62/2.41 % (1005088)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=1899696689: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_2983 on theBenchmark for (2983ds/9840Mi)
% 13.62/2.41 % (1005069)Instruction limit reached!
% 13.62/2.41 % (1005069)------------------------------
% 13.62/2.41 % (1005069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/2.41 % (1005069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.41 % (1005069)CaDiCaL version: 2.1.3
% 13.62/2.41 % (1005069)Termination reason: Instruction limit
% 13.62/2.41 % (1005069)Termination phase: Saturation
% 13.62/2.41 % (1005069)Time elapsed: 0.316 s
% 13.62/2.41 % (1005069)Peak memory usage: 16 MB
% 13.62/2.41 % (1005069)Instructions burned: 338 (million)
% 13.62/2.41 % (1005090)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3035456289:i=421:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/421Mi)
% 13.62/2.41 % (1005090)Refutation not found, incomplete strategy
% 13.62/2.41 % (1005090)------------------------------
% 13.62/2.41 % (1005090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.62/2.41 % (1005090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.62/2.41 % (1005090)CaDiCaL version: 2.1.3
% 13.62/2.41 % (1005090)Termination reason: Refutation not found, incomplete strategy
% 13.62/2.41 % (1005090)Time elapsed: 0.005 s
% 13.62/2.41 % (1005090)Peak memory usage: 12 MB
% 13.62/2.41 % (1005090)Instructions burned: 5 (million)
% 13.62/2.41 % (1005091)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
% 15.45/2.71 % (1005090)------------------------------
% 15.45/2.71 % (1005090)------------------------------
% 15.45/2.71 % (1005091)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=3848291661:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/270Mi)
% 15.45/2.71 % (1005091)Refutation not found, incomplete strategy
% 15.45/2.71 % (1005091)------------------------------
% 15.45/2.71 % (1005091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.71 % (1005091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.71 % (1005091)CaDiCaL version: 2.1.3
% 15.45/2.71 % (1005091)Termination reason: Refutation not found, incomplete strategy
% 15.45/2.71 % (1005091)Time elapsed: 0.015 s
% 15.45/2.71 % (1005091)Peak memory usage: 12 MB
% 15.45/2.71 % (1005091)Instructions burned: 19 (million)
% 15.45/2.71 % (1005091)------------------------------
% 15.45/2.71 % (1005091)------------------------------
% 15.45/2.71 % (1005080)Instruction limit reached!
% 15.45/2.71 % (1005080)------------------------------
% 15.45/2.71 % (1005080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.71 % (1005080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.71 % (1005080)CaDiCaL version: 2.1.3
% 15.45/2.71 % (1005080)Termination reason: Instruction limit
% 15.45/2.71 % (1005080)Termination phase: Saturation
% 15.45/2.71 % (1005080)Time elapsed: 0.279 s
% 15.45/2.71 % (1005080)Peak memory usage: 13 MB
% 15.45/2.71 % (1005080)Instructions burned: 373 (million)
% 15.45/2.71 % (1005093)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3190505644:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/31Mi)
% 15.45/2.71 % (1005095)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 15.45/2.71 % (1005095)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
% 15.45/2.71 % (1005084)Instruction limit reached!
% 15.45/2.71 % (1005084)------------------------------
% 15.45/2.71 % (1005084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.71 % (1005084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.71 % (1005084)CaDiCaL version: 2.1.3
% 15.45/2.71 % (1005084)Termination reason: Instruction limit
% 15.45/2.71 % (1005084)Termination phase: Saturation
% 15.45/2.71 % (1005084)Time elapsed: 0.209 s
% 15.45/2.71 % (1005084)Peak memory usage: 13 MB
% 15.45/2.71 % (1005084)Instructions burned: 270 (million)
% 15.45/2.71 % (1005095)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=3431932880:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2982 on theBenchmark for (2982ds/1440Mi)
% 15.45/2.71 % (1005096)dis+10_2_sil=128000:si=on:random_seed=464105412:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2982 on theBenchmark for (2982ds/339Mi)
% 15.45/2.71 % (1005093)Instruction limit reached!
% 15.45/2.71 % (1005093)------------------------------
% 15.45/2.71 % (1005093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.71 % (1005093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.71 % (1005093)CaDiCaL version: 2.1.3
% 15.45/2.71 % (1005093)Termination reason: Instruction limit
% 15.45/2.71 % (1005093)Termination phase: Saturation
% 15.45/2.71 % (1005093)Time elapsed: 0.028 s
% 15.45/2.71 % (1005093)Peak memory usage: 12 MB
% 15.45/2.71 % (1005093)Instructions burned: 31 (million)
% 15.45/2.71 % (1005096)Refutation not found, incomplete strategy
% 15.45/2.71 % (1005096)------------------------------
% 15.45/2.71 % (1005096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.45/2.71 % (1005096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/2.71 % (1005096)CaDiCaL version: 2.1.3
% 15.45/2.71 % (1005096)Termination reason: Refutation not found, incomplete strategy
% 15.45/2.71 % (1005096)Time elapsed: 0.005 s
% 15.45/2.71 % (1005096)Peak memory usage: 12 MB
% 15.45/2.71 % (1005096)Instructions burned: 5 (million)
% 15.45/2.71 % (1005096)------------------------------
% 19.53/3.19 % (1005096)------------------------------
% 19.53/3.19 % (1005098)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3982115695:i=111:add=on:fgj=on:rtra=on:fdi=1024_2982 on theBenchmark for (2982ds/111Mi)
% 19.53/3.19 % (1005101)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=771871017:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/122Mi)
% 19.53/3.19 % (1005101)Refutation not found, incomplete strategy
% 19.53/3.19 % (1005101)------------------------------
% 19.53/3.19 % (1005101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.19 % (1005101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.19 % (1005101)CaDiCaL version: 2.1.3
% 19.53/3.19 % (1005101)Termination reason: Refutation not found, incomplete strategy
% 19.53/3.19 % (1005101)Time elapsed: 0.014 s
% 19.53/3.19 % (1005101)Peak memory usage: 12 MB
% 19.53/3.19 % (1005101)Instructions burned: 15 (million)
% 19.53/3.19 % (1005101)------------------------------
% 19.53/3.19 % (1005101)------------------------------
% 19.53/3.19 % (1005102)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=3875631460:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/136Mi)
% 19.53/3.19 % (1005105)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=257137447:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/232Mi)
% 19.53/3.19 % (1005098)Instruction limit reached!
% 19.53/3.19 % (1005098)------------------------------
% 19.53/3.19 % (1005098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.19 % (1005098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.19 % (1005098)CaDiCaL version: 2.1.3
% 19.53/3.19 % (1005098)Termination reason: Instruction limit
% 19.53/3.19 % (1005098)Termination phase: Saturation
% 19.53/3.19 % (1005098)Time elapsed: 0.089 s
% 19.53/3.19 % (1005098)Peak memory usage: 13 MB
% 19.53/3.19 % (1005098)Instructions burned: 112 (million)
% 19.53/3.19 % (1005108)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=1649923982:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2981 on theBenchmark for (2981ds/1254Mi)
% 19.53/3.19 % (1005102)Instruction limit reached!
% 19.53/3.19 % (1005102)------------------------------
% 19.53/3.19 % (1005102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.19 % (1005102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.19 % (1005102)CaDiCaL version: 2.1.3
% 19.53/3.19 % (1005102)Termination reason: Instruction limit
% 19.53/3.19 % (1005102)Termination phase: Saturation
% 19.53/3.19 % (1005102)Time elapsed: 0.125 s
% 19.53/3.19 % (1005102)Peak memory usage: 13 MB
% 19.53/3.19 % (1005102)Instructions burned: 136 (million)
% 19.53/3.19 % (1005110)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 19.53/3.19 % (1005110)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=3591581407:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2980 on theBenchmark for (2980ds/281Mi)
% 19.53/3.19 % (1005083)Instruction limit reached!
% 19.53/3.19 % (1005083)------------------------------
% 19.53/3.19 % (1005083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.19 % (1005083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.19 % (1005083)CaDiCaL version: 2.1.3
% 19.53/3.19 % (1005083)Termination reason: Instruction limit
% 19.53/3.19 % (1005083)Termination phase: Saturation
% 19.53/3.19 % (1005083)Time elapsed: 0.485 s
% 19.53/3.19 % (1005083)Peak memory usage: 15 MB
% 19.53/3.19 % (1005083)Instructions burned: 575 (million)
% 19.53/3.19 % (1005112)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=787608702:i=619:add=on:rtra=on_2979 on theBenchmark for (2979ds/619Mi)
% 19.53/3.19 % (1005105)Instruction limit reached!
% 19.53/3.19 % (1005105)------------------------------
% 19.53/3.19 % (1005105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/3.19 % (1005105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.38/3.33 % (1005105)CaDiCaL version: 2.1.3
% 20.38/3.33 % (1005105)Termination reason: Instruction limit
% 20.38/3.33 % (1005105)Termination phase: Saturation
% 20.38/3.33 % (1005105)Time elapsed: 0.210 s
% 20.38/3.33 % (1005105)Peak memory usage: 13 MB
% 20.38/3.33 % (1005105)Instructions burned: 232 (million)
% 20.38/3.33 % (1005114)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=3964547799:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/865Mi)
% 20.38/3.33 % (1005112)Refutation not found, incomplete strategy
% 20.38/3.33 % (1005112)------------------------------
% 20.38/3.33 % (1005112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.38/3.33 % (1005112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.38/3.33 % (1005112)CaDiCaL version: 2.1.3
% 20.38/3.33 % (1005112)Termination reason: Refutation not found, incomplete strategy
% 20.38/3.33 % (1005112)Time elapsed: 0.059 s
% 20.38/3.33 % (1005112)Peak memory usage: 13 MB
% 20.38/3.33 % (1005112)Instructions burned: 68 (million)
% 20.38/3.33 % (1005112)------------------------------
% 20.38/3.33 % (1005112)------------------------------
% 20.38/3.33 % (1005116)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3941239582:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/212Mi)
% 20.38/3.33 % (1005110)Instruction limit reached!
% 20.38/3.33 % (1005110)------------------------------
% 20.38/3.33 % (1005110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.38/3.33 % (1005110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.38/3.33 % (1005110)CaDiCaL version: 2.1.3
% 20.38/3.33 % (1005110)Termination reason: Instruction limit
% 20.38/3.33 % (1005110)Termination phase: Saturation
% 20.38/3.33 % (1005110)Time elapsed: 0.237 s
% 20.38/3.33 % (1005110)Peak memory usage: 13 MB
% 20.38/3.33 % (1005110)Instructions burned: 282 (million)
% 20.38/3.33 % (1005118)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3487451573:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/130Mi)
% 20.38/3.33 % (1005118)Refutation not found, incomplete strategy
% 20.38/3.33 % (1005118)------------------------------
% 20.38/3.33 % (1005118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.38/3.33 % (1005118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.38/3.33 % (1005118)CaDiCaL version: 2.1.3
% 20.38/3.33 % (1005118)Termination reason: Refutation not found, incomplete strategy
% 20.38/3.33 % (1005118)Time elapsed: 0.008 s
% 20.38/3.33 % (1005118)Peak memory usage: 12 MB
% 20.38/3.33 % (1005118)Instructions burned: 8 (million)
% 20.38/3.33 % (1005118)------------------------------
% 20.38/3.33 % (1005118)------------------------------
% 20.38/3.33 % (1005120)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=44516564:st=1.5:i=346:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/346Mi)
% 20.38/3.33 % (1005116)Instruction limit reached!
% 20.38/3.33 % (1005116)------------------------------
% 20.38/3.33 % (1005116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.38/3.33 % (1005116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.38/3.33 % (1005116)CaDiCaL version: 2.1.3
% 20.38/3.33 % (1005116)Termination reason: Instruction limit
% 20.38/3.33 % (1005116)Termination phase: Saturation
% 20.38/3.33 % (1005116)Time elapsed: 0.164 s
% 20.38/3.33 % (1005116)Peak memory usage: 13 MB
% 20.38/3.33 % (1005116)Instructions burned: 213 (million)
% 20.38/3.33 % (1005120)Refutation not found, incomplete strategy
% 20.38/3.33 % (1005120)------------------------------
% 20.38/3.33 % (1005120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.38/3.33 % (1005120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.38/3.33 % (1005120)CaDiCaL version: 2.1.3
% 20.38/3.33 % (1005120)Termination reason: Refutation not found, incomplete strategy
% 20.38/3.33 % (1005120)Time elapsed: 0.019 s
% 20.38/3.33 % (1005120)Peak memory usage: 12 MB
% 20.38/3.33 % (1005120)Instructions burned: 23 (million)
% 20.38/3.33 % (1005120)------------------------------
% 20.38/3.33 % (1005120)------------------------------
% 20.38/3.33 % (1005122)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2825206695:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2976 on theBenchmark for (2976ds/152Mi)
% 20.38/3.33 % (1005123)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=204027647:i=75:ep=R:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/75Mi)
% 21.86/3.69 % (1005123)Instruction limit reached!
% 21.86/3.69 % (1005123)------------------------------
% 21.86/3.69 % (1005123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.69 % (1005123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.69 % (1005123)CaDiCaL version: 2.1.3
% 21.86/3.69 % (1005123)Termination reason: Instruction limit
% 21.86/3.69 % (1005123)Termination phase: Saturation
% 21.86/3.69 % (1005123)Time elapsed: 0.062 s
% 21.86/3.69 % (1005123)Peak memory usage: 12 MB
% 21.86/3.69 % (1005123)Instructions burned: 75 (million)
% 21.86/3.69 % (1005126)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1297061632:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/387Mi)
% 21.86/3.69 % (1005122)Instruction limit reached!
% 21.86/3.69 % (1005122)------------------------------
% 21.86/3.69 % (1005122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.69 % (1005122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.69 % (1005122)CaDiCaL version: 2.1.3
% 21.86/3.69 % (1005122)Termination reason: Instruction limit
% 21.86/3.69 % (1005122)Termination phase: Saturation
% 21.86/3.69 % (1005122)Time elapsed: 0.120 s
% 21.86/3.69 % (1005122)Peak memory usage: 14 MB
% 21.86/3.69 % (1005122)Instructions burned: 152 (million)
% 21.86/3.69 % (1005128)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=4251593873:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2975 on theBenchmark for (2975ds/148Mi)
% 21.86/3.69 % (1005128)Instruction limit reached!
% 21.86/3.69 % (1005128)------------------------------
% 21.86/3.69 % (1005128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.69 % (1005128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.69 % (1005128)CaDiCaL version: 2.1.3
% 21.86/3.69 % (1005128)Termination reason: Instruction limit
% 21.86/3.69 % (1005128)Termination phase: Saturation
% 21.86/3.69 % (1005128)Time elapsed: 0.117 s
% 21.86/3.69 % (1005128)Peak memory usage: 12 MB
% 21.86/3.69 % (1005128)Instructions burned: 149 (million)
% 21.86/3.69 % (1005130)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=817707651:i=161:piset=and:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/161Mi)
% 21.86/3.69 % (1005126)Instruction limit reached!
% 21.86/3.69 % (1005126)------------------------------
% 21.86/3.69 % (1005126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.69 % (1005126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.69 % (1005126)CaDiCaL version: 2.1.3
% 21.86/3.69 % (1005126)Termination reason: Instruction limit
% 21.86/3.69 % (1005126)Termination phase: Saturation
% 21.86/3.69 % (1005126)Time elapsed: 0.272 s
% 21.86/3.69 % (1005126)Peak memory usage: 12 MB
% 21.86/3.69 % (1005126)Instructions burned: 388 (million)
% 21.86/3.69 % (1005132)lrs+10_1_sil=128000:si=on:random_seed=89373562:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/888Mi)
% 21.86/3.69 % (1005130)Instruction limit reached!
% 21.86/3.69 % (1005130)------------------------------
% 21.86/3.69 % (1005130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.69 % (1005130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.69 % (1005130)CaDiCaL version: 2.1.3
% 21.86/3.69 % (1005130)Termination reason: Instruction limit
% 21.86/3.69 % (1005130)Termination phase: Saturation
% 21.86/3.69 % (1005130)Time elapsed: 0.142 s
% 21.86/3.69 % (1005130)Peak memory usage: 13 MB
% 21.86/3.69 % (1005130)Instructions burned: 166 (million)
% 21.86/3.69 % (1005134)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=1750970867:i=136:add=on:ins=4:rtra=on:sup=off_2972 on theBenchmark for (2972ds/136Mi)
% 21.86/3.69 % (1005134)Refutation not found, incomplete strategy
% 21.86/3.69 % (1005134)------------------------------
% 21.86/3.69 % (1005134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.86/3.69 % (1005134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.69 % (1005134)CaDiCaL version: 2.1.3
% 21.86/3.69 % (1005134)Termination reason: Refutation not found, incomplete strategy
% 21.86/3.69 % (1005134)Time elapsed: 0.014 s
% 21.86/3.69 % (1005134)Peak memory usage: 12 MB
% 21.86/3.69 % (1005134)Instructions burned: 17 (million)
% 20.50/3.88 % (1005134)------------------------------
% 20.50/3.88 % (1005134)------------------------------
% 20.50/3.88 % (1005108)Instruction limit reached!
% 20.50/3.88 % (1005108)------------------------------
% 20.50/3.88 % (1005108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.50/3.88 % (1005108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.50/3.88 % (1005108)CaDiCaL version: 2.1.3
% 20.50/3.88 % (1005108)Termination reason: Instruction limit
% 20.50/3.88 % (1005108)Termination phase: Saturation
% 20.50/3.88 % (1005108)Time elapsed: 0.943 s
% 20.50/3.88 % (1005108)Peak memory usage: 16 MB
% 20.50/3.88 % (1005108)Instructions burned: 1254 (million)
% 20.50/3.88 % (1005136)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=3911224833:i=88:s2at=3:nm=2:rtra=on:rawr=on_2971 on theBenchmark for (2971ds/88Mi)
% 20.50/3.88 % (1005137)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1152569485:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2971 on theBenchmark for (2971ds/93Mi)
% 20.50/3.88 % (1005114)Instruction limit reached!
% 20.50/3.88 % (1005114)------------------------------
% 20.50/3.88 % (1005114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.50/3.88 % (1005114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.50/3.88 % (1005114)CaDiCaL version: 2.1.3
% 20.50/3.88 % (1005114)Termination reason: Instruction limit
% 20.50/3.88 % (1005114)Termination phase: Saturation
% 20.50/3.88 % (1005114)Time elapsed: 0.793 s
% 20.50/3.88 % (1005114)Peak memory usage: 20 MB
% 20.50/3.88 % (1005114)Instructions burned: 865 (million)
% 20.50/3.88 % (1005140)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3737169394:i=2186:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/2186Mi)
% 20.50/3.88 % (1005095)Instruction limit reached!
% 20.50/3.88 % (1005095)------------------------------
% 20.50/3.88 % (1005095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.50/3.88 % (1005095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.50/3.88 % (1005095)CaDiCaL version: 2.1.3
% 20.50/3.88 % (1005095)Termination reason: Instruction limit
% 20.50/3.88 % (1005095)Termination phase: Saturation
% 20.50/3.88 % (1005095)Time elapsed: 1.197 s
% 20.50/3.88 % (1005095)Peak memory usage: 19 MB
% 20.50/3.88 % (1005095)Instructions burned: 1441 (million)
% 20.50/3.88 % (1005136)Instruction limit reached!
% 20.50/3.88 % (1005136)------------------------------
% 20.50/3.88 % (1005136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.50/3.88 % (1005136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.50/3.88 % (1005136)CaDiCaL version: 2.1.3
% 20.50/3.88 % (1005136)Termination reason: Instruction limit
% 20.50/3.88 % (1005136)Termination phase: Saturation
% 20.50/3.88 % (1005136)Time elapsed: 0.069 s
% 20.50/3.88 % (1005136)Peak memory usage: 12 MB
% 20.50/3.88 % (1005136)Instructions burned: 88 (million)
% 20.50/3.88 % (1005137)Instruction limit reached!
% 20.50/3.88 % (1005137)------------------------------
% 20.50/3.88 % (1005137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.50/3.88 % (1005137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.50/3.88 % (1005137)CaDiCaL version: 2.1.3
% 20.50/3.88 % (1005137)Termination reason: Instruction limit
% 20.50/3.88 % (1005137)Termination phase: Saturation
% 20.50/3.88 % (1005137)Time elapsed: 0.073 s
% 20.50/3.88 % (1005137)Peak memory usage: 12 MB
% 20.50/3.88 % (1005137)Instructions burned: 94 (million)
% 20.50/3.88 % (1005144)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 20.50/3.88 % (1005142)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1151568485:s2a=on:i=240:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/240Mi)
% 20.50/3.88 % (1005143)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1558397452:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/805Mi)
% 20.50/3.88 % (1005144)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=1943555377:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2970 on theBenchmark for (2970ds/391Mi)
% 23.47/4.08 % (1005144)Refutation not found, incomplete strategy
% 23.47/4.08 % (1005144)------------------------------
% 23.47/4.08 % (1005144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.47/4.08 % (1005144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/4.08 % (1005144)CaDiCaL version: 2.1.3
% 23.47/4.08 % (1005144)Termination reason: Refutation not found, incomplete strategy
% 23.47/4.08 % (1005144)Time elapsed: 0.017 s
% 23.47/4.08 % (1005144)Peak memory usage: 12 MB
% 23.47/4.08 % (1005144)Instructions burned: 20 (million)
% 23.47/4.08 % (1005144)------------------------------
% 23.47/4.08 % (1005144)------------------------------
% 23.47/4.08 % (1005148)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1027764940:i=355:av=off:fsr=off:rtra=on:ixr=off_2969 on theBenchmark for (2969ds/355Mi)
% 23.47/4.08 % (1005143)Refutation not found, incomplete strategy
% 23.47/4.08 % (1005143)------------------------------
% 23.47/4.08 % (1005143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.47/4.08 % (1005143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/4.08 % (1005143)CaDiCaL version: 2.1.3
% 23.47/4.08 % (1005143)Termination reason: Refutation not found, incomplete strategy
% 23.47/4.08 % (1005143)Time elapsed: 0.087 s
% 23.47/4.08 % (1005143)Peak memory usage: 13 MB
% 23.47/4.08 % (1005143)Instructions burned: 100 (million)
% 23.47/4.08 % (1005143)------------------------------
% 23.47/4.08 % (1005143)------------------------------
% 23.47/4.08 % (1005150)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1930793424:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/314Mi)
% 23.47/4.08 % (1005150)Refutation not found, incomplete strategy
% 23.47/4.08 % (1005150)------------------------------
% 23.47/4.08 % (1005150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.47/4.08 % (1005150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/4.08 % (1005150)CaDiCaL version: 2.1.3
% 23.47/4.08 % (1005150)Termination reason: Refutation not found, incomplete strategy
% 23.47/4.08 % (1005150)Time elapsed: 0.006 s
% 23.47/4.08 % (1005150)Peak memory usage: 12 MB
% 23.47/4.08 % (1005150)Instructions burned: 5 (million)
% 23.47/4.08 % (1005150)------------------------------
% 23.47/4.08 % (1005150)------------------------------
% 23.47/4.08 % (1005152)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3048569552:s2a=on:i=251:fsr=off:rtra=on_2968 on theBenchmark for (2968ds/251Mi)
% 23.47/4.08 % (1005142)Instruction limit reached!
% 23.47/4.08 % (1005142)------------------------------
% 23.47/4.08 % (1005142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.47/4.08 % (1005142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/4.08 % (1005142)CaDiCaL version: 2.1.3
% 23.47/4.08 % (1005142)Termination reason: Instruction limit
% 23.47/4.08 % (1005142)Termination phase: Saturation
% 23.47/4.08 % (1005142)Time elapsed: 0.201 s
% 23.47/4.08 % (1005142)Peak memory usage: 13 MB
% 23.47/4.08 % (1005142)Instructions burned: 241 (million)
% 23.47/4.08 % (1005154)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=1562176169:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2968 on theBenchmark for (2968ds/2470Mi)
% 23.47/4.08 % (1005148)Instruction limit reached!
% 23.47/4.08 % (1005148)------------------------------
% 23.47/4.08 % (1005148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.47/4.08 % (1005148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/4.08 % (1005148)CaDiCaL version: 2.1.3
% 23.47/4.08 % (1005148)Termination reason: Instruction limit
% 23.47/4.08 % (1005148)Termination phase: Saturation
% 23.47/4.08 % (1005148)Time elapsed: 0.276 s
% 23.47/4.08 % (1005148)Peak memory usage: 12 MB
% 23.47/4.08 % (1005148)Instructions burned: 355 (million)
% 23.47/4.08 % (1005152)Instruction limit reached!
% 23.47/4.08 % (1005152)------------------------------
% 23.47/4.08 % (1005152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.47/4.08 % (1005152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.47/4.08 % (1005152)CaDiCaL version: 2.1.3
% 23.47/4.08 % (1005152)Termination reason: Instruction limit
% 23.47/4.08 % (1005152)Termination phase: Saturation
% 23.47/4.08 % (1005152)Time elapsed: 0.191 s
% 27.71/4.43 % (1005152)Peak memory usage: 12 MB
% 27.71/4.43 % (1005152)Instructions burned: 251 (million)
% 27.71/4.43 % (1005156)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1886208730:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2966 on theBenchmark for (2966ds/673Mi)
% 27.71/4.43 % (1005157)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=163633181:i=116:ep=RSTC:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/116Mi)
% 27.71/4.43 % (1005055)Instruction limit reached!
% 27.71/4.43 % (1005055)------------------------------
% 27.71/4.43 % (1005055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.71/4.43 % (1005055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/4.43 % (1005055)CaDiCaL version: 2.1.3
% 27.71/4.43 % (1005055)Termination reason: Instruction limit
% 27.71/4.43 % (1005055)Termination phase: Saturation
% 27.71/4.43 % (1005055)Time elapsed: 2.474 s
% 27.71/4.43 % (1005055)Peak memory usage: 39 MB
% 27.71/4.43 % (1005055)Instructions burned: 5757 (million)
% 27.71/4.43 % (1005132)Instruction limit reached!
% 27.71/4.43 % (1005132)------------------------------
% 27.71/4.43 % (1005132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.71/4.43 % (1005132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/4.43 % (1005132)CaDiCaL version: 2.1.3
% 27.71/4.43 % (1005132)Termination reason: Instruction limit
% 27.71/4.43 % (1005132)Termination phase: Saturation
% 27.71/4.43 % (1005132)Time elapsed: 0.675 s
% 27.71/4.43 % (1005132)Peak memory usage: 13 MB
% 27.71/4.43 % (1005132)Instructions burned: 888 (million)
% 27.71/4.43 % (1005157)Instruction limit reached!
% 27.71/4.43 % (1005157)------------------------------
% 27.71/4.43 % (1005157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.71/4.43 % (1005157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/4.43 % (1005157)CaDiCaL version: 2.1.3
% 27.71/4.43 % (1005157)Termination reason: Instruction limit
% 27.71/4.43 % (1005157)Termination phase: Saturation
% 27.71/4.43 % (1005157)Time elapsed: 0.096 s
% 27.71/4.43 % (1005157)Peak memory usage: 13 MB
% 27.71/4.43 % (1005157)Instructions burned: 116 (million)
% 27.71/4.43 % (1005161)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=3084711884:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2965 on theBenchmark for (2965ds/30Mi)
% 27.71/4.43 % (1005160)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=482878735:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2965 on theBenchmark for (2965ds/270Mi)
% 27.71/4.43 % (1005161)Instruction limit reached!
% 27.71/4.43 % (1005161)------------------------------
% 27.71/4.43 % (1005161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.71/4.43 % (1005161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/4.43 % (1005161)CaDiCaL version: 2.1.3
% 27.71/4.43 % (1005161)Termination reason: Instruction limit
% 27.71/4.43 % (1005161)Termination phase: Saturation
% 27.71/4.43 % (1005161)Time elapsed: 0.016 s
% 27.71/4.43 % (1005161)Peak memory usage: 12 MB
% 27.71/4.43 % (1005161)Instructions burned: 32 (million)
% 27.71/4.43 % (1005163)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 27.71/4.43 % (1005163)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=539554806:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2965 on theBenchmark for (2965ds/39Mi)
% 27.71/4.43 % (1005165)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3844434174:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/365Mi)
% 27.71/4.43 % (1005163)Instruction limit reached!
% 27.71/4.43 % (1005163)------------------------------
% 27.71/4.43 % (1005163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.71/4.43 % (1005163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.71/4.43 % (1005163)CaDiCaL version: 2.1.3
% 27.71/4.43 % (1005163)Termination reason: Instruction limit
% 27.71/4.43 % (1005163)Termination phase: Saturation
% 27.71/4.43 % (1005163)Time elapsed: 0.032 s
% 27.71/4.43 % (1005163)Peak memory usage: 12 MB
% 28.59/4.54 % (1005163)Instructions burned: 39 (million)
% 28.59/4.54 % (1005168)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3545684479:i=158:av=off:rtra=on_2964 on theBenchmark for (2964ds/158Mi)
% 28.59/4.54 % (1005165)Instruction limit reached!
% 28.59/4.54 % (1005165)------------------------------
% 28.59/4.54 % (1005165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005165)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005165)Termination reason: Instruction limit
% 28.59/4.54 % (1005165)Termination phase: Saturation
% 28.59/4.54 % (1005165)Time elapsed: 0.161 s
% 28.59/4.54 % (1005165)Peak memory usage: 14 MB
% 28.59/4.54 % (1005165)Instructions burned: 367 (million)
% 28.59/4.54 % (1005170)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
% 28.59/4.54 % (1005170)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=533422946:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/252Mi)
% 28.59/4.54 % (1005160)Instruction limit reached!
% 28.59/4.54 % (1005160)------------------------------
% 28.59/4.54 % (1005160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005160)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005160)Termination reason: Instruction limit
% 28.59/4.54 % (1005160)Termination phase: Saturation
% 28.59/4.54 % (1005160)Time elapsed: 0.211 s
% 28.59/4.54 % (1005160)Peak memory usage: 13 MB
% 28.59/4.54 % (1005160)Instructions burned: 270 (million)
% 28.59/4.54 % (1005170)Refutation not found, incomplete strategy
% 28.59/4.54 % (1005170)------------------------------
% 28.59/4.54 % (1005170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005170)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005170)Termination reason: Refutation not found, incomplete strategy
% 28.59/4.54 % (1005170)Time elapsed: 0.008 s
% 28.59/4.54 % (1005170)Peak memory usage: 12 MB
% 28.59/4.54 % (1005170)Instructions burned: 19 (million)
% 28.59/4.54 % (1005170)------------------------------
% 28.59/4.54 % (1005170)------------------------------
% 28.59/4.54 % (1005168)Instruction limit reached!
% 28.59/4.54 % (1005168)------------------------------
% 28.59/4.54 % (1005168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005168)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005168)Termination reason: Instruction limit
% 28.59/4.54 % (1005168)Termination phase: Saturation
% 28.59/4.54 % (1005168)Time elapsed: 0.135 s
% 28.59/4.54 % (1005168)Peak memory usage: 12 MB
% 28.59/4.54 % (1005168)Instructions burned: 159 (million)
% 28.59/4.54 % (1005173)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=1304661566:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/160Mi)
% 28.59/4.54 % (1005173)Refutation not found, incomplete strategy
% 28.59/4.54 % (1005173)------------------------------
% 28.59/4.54 % (1005173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005173)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005173)Termination reason: Refutation not found, incomplete strategy
% 28.59/4.54 % (1005173)Time elapsed: 0.009 s
% 28.59/4.54 % (1005173)Peak memory usage: 12 MB
% 28.59/4.54 % (1005173)Instructions burned: 21 (million)
% 28.59/4.54 % (1005173)------------------------------
% 28.59/4.54 % (1005173)------------------------------
% 28.59/4.54 % (1005172)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=221679636:i=213:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/213Mi)
% 28.59/4.54 % (1005172)Refutation not found, incomplete strategy
% 28.59/4.54 % (1005172)------------------------------
% 28.59/4.54 % (1005172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005172)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005172)Termination reason: Refutation not found, incomplete strategy
% 28.59/4.54 % (1005172)Time elapsed: 0.005 s
% 28.59/4.54 % (1005172)Peak memory usage: 12 MB
% 28.59/4.54 % (1005172)Instructions burned: 5 (million)
% 28.59/4.54 % (1005172)------------------------------
% 28.59/4.54 % (1005172)------------------------------
% 28.59/4.54 % (1005174)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3662849909:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/763Mi)
% 28.59/4.54 % (1005176)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 28.59/4.54 % (1005176)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2577747311:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2962 on theBenchmark for (2962ds/237Mi)
% 28.59/4.54 % (1005174)Refutation not found, incomplete strategy
% 28.59/4.54 % (1005174)------------------------------
% 28.59/4.54 % (1005174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005174)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005174)Termination reason: Refutation not found, incomplete strategy
% 28.59/4.54 % (1005174)Time elapsed: 0.014 s
% 28.59/4.54 % (1005174)Peak memory usage: 12 MB
% 28.59/4.54 % (1005174)Instructions burned: 17 (million)
% 28.59/4.54 % (1005174)------------------------------
% 28.59/4.54 % (1005174)------------------------------
% 28.59/4.54 % (1005178)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1407934393:s2a=on:i=386:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/386Mi)
% 28.59/4.54 % (1005181)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2262865997:i=300:piset=and:nm=32:rtra=on_2962 on theBenchmark for (2962ds/300Mi)
% 28.59/4.54 % (1005176)Instruction limit reached!
% 28.59/4.54 % (1005176)------------------------------
% 28.59/4.54 % (1005176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005176)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005176)Termination reason: Instruction limit
% 28.59/4.54 % (1005176)Termination phase: Saturation
% 28.59/4.54 % (1005176)Time elapsed: 0.103 s
% 28.59/4.54 % (1005176)Peak memory usage: 13 MB
% 28.59/4.54 % (1005176)Instructions burned: 240 (million)
% 28.59/4.54 % (1005184)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2362526323:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/567Mi)
% 28.59/4.54 % (1005156)Instruction limit reached!
% 28.59/4.54 % (1005156)------------------------------
% 28.59/4.54 % (1005156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005156)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005156)Termination reason: Instruction limit
% 28.59/4.54 % (1005156)Termination phase: Saturation
% 28.59/4.54 % (1005156)Time elapsed: 0.554 s
% 28.59/4.54 % (1005156)Peak memory usage: 15 MB
% 28.59/4.54 % (1005156)Instructions burned: 673 (million)
% 28.59/4.54 % (1005186)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=652476528:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2960 on theBenchmark for (2960ds/379Mi)
% 28.59/4.54 % (1005181)Instruction limit reached!
% 28.59/4.54 % (1005181)------------------------------
% 28.59/4.54 % (1005181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005181)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005181)Termination reason: Instruction limit
% 28.59/4.54 % (1005181)Termination phase: Saturation
% 28.59/4.54 % (1005181)Time elapsed: 0.256 s
% 28.59/4.54 % (1005181)Peak memory usage: 13 MB
% 28.59/4.54 % (1005181)Instructions burned: 300 (million)
% 28.59/4.54 % (1005178)Instruction limit reached!
% 28.59/4.54 % (1005178)------------------------------
% 28.59/4.54 % (1005178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005178)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005178)Termination reason: Instruction limit
% 28.59/4.54 % (1005178)Termination phase: Saturation
% 28.59/4.54 % (1005178)Time elapsed: 0.318 s
% 28.59/4.54 % (1005178)Peak memory usage: 14 MB
% 28.59/4.54 % (1005178)Instructions burned: 388 (million)
% 28.59/4.54 % (1005184)Instruction limit reached!
% 28.59/4.54 % (1005184)------------------------------
% 28.59/4.54 % (1005184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.54 % (1005184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.54 % (1005184)CaDiCaL version: 2.1.3
% 28.59/4.54 % (1005184)Termination reason: Instruction limit
% 28.59/4.54 % (1005184)Termination phase: Saturation
% 28.59/4.54 % (1005184)Time elapsed: 0.228 s
% 28.59/4.54 % (1005184)Peak memory usage: 13 MB
% 28.59/4.54 % (1005184)Instructions burned: 568 (million)
% 28.59/4.54 % (1005188)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3249130388:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2959 on theBenchmark for (2959ds/429Mi)
% 28.59/4.54 % (1005190)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2782617668:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2959 on theBenchmark for (2959ds/445Mi)
% 28.59/4.54 % (1005189)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3637847128:i=478:bd=all:rtra=on_2959 on theBenchmark for (2959ds/478Mi)
% 28.59/4.54 % (1005154) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1004917-1005154"...
% 28.59/4.54 % (1005154)...printing done.
% 28.59/4.54 % (1005154)Refutation found. Thanks to Tanya!
% 28.59/4.54 % SZS status Theorem for theBenchmark
% 28.59/4.54 % SZS output start Proof for theBenchmark
% See solution above
% 28.59/4.55 % (1005154)------------------------------
% 28.59/4.55 % (1005154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.59/4.55 % (1005154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.59/4.55 % (1005154)CaDiCaL version: 2.1.3
% 28.59/4.55 % (1005154)Termination reason: Refutation
% 28.59/4.55 % (1005154)Time elapsed: 0.969 s
% 28.59/4.55 % (1005154)Peak memory usage: 17 MB
% 28.59/4.55 % (1005154)Instructions burned: 1153 (million)
% 28.59/4.55 % (1004917)Success in time 4.199 s
% 28.59/4.55 % Vampire exiting
%------------------------------------------------------------------------------