%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO064^4.003 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:46:27 AM UTC 2026
% Result : Theorem 13.89s 2.36s
% Output : Refutation 13.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 39
% Syntax : Number of formulae : 385 ( 137 unt; 0 typ; 22 def)
% Number of atoms : 4242 ( 920 equ; 0 cnn)
% Maximal formula atoms : 21 ( 11 avg)
% Number of connectives : 5037 ( 178 ~; 869 |; 63 &;3246 @)
% ( 22 <=>; 345 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 187 ( 187 >; 0 *; 0 +; 0 <<)
% Number of symbols : 73 ( 69 usr; 32 con; 0-4 aty)
% ( 314 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1090 ( 0 sgn 496 !; 0 ?;1090 :)
% 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,
a: $i > $o ).
thf(func_def_22,type,
a1: $i > $o ).
thf(func_def_23,type,
a2: $i > $o ).
thf(func_def_24,type,
a3: $i > $o ).
thf(func_def_25,type,
b: $i > $o ).
thf(func_def_26,type,
b1: $i > $o ).
thf(func_def_27,type,
b2: $i > $o ).
thf(func_def_28,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_30,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_33,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_34,type,
vIMP: $o > $o > $o ).
thf(func_def_35,type,
vAND: $o > $o > $o ).
thf(func_def_36,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vNOT: $o > $o ).
thf(func_def_38,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_39,type,
vOR: $o > $o > $o ).
thf(func_def_48,type,
sK8: $i > $i ).
thf(func_def_49,type,
sK9: $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 @ X1 @ X2 )
& ( irel @ X0 @ X1 ) )
=> ( 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,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mand) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mimplies) ).
thf(f7,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox_s4 ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',mbox_s4) ).
thf(f8,axiom,
( ( ^ [X0: $i > $o] : X0 )
= iatom ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iatom) ).
thf(f12,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mand @ X0 @ X1 ) )
= iand ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iand) ).
thf(f13,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mbox_s4 @ X0 ) @ ( mbox_s4 @ X1 ) ) )
= ior ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ior) ).
thf(f14,axiom,
( iimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mimplies @ ( mbox_s4 @ X0 ) @ ( mbox_s4 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',iimplies) ).
thf(f18,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= ivalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL010^0.ax',ivalid) ).
thf(f22,axiom,
ivalid @ ( iatom @ a3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
thf(f23,axiom,
ivalid @ ( iimplies @ ( iatom @ b1 ) @ ( ior @ ( ior @ ( iatom @ b2 ) @ ( iatom @ a2 ) ) @ ( iatom @ b2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2) ).
thf(f24,axiom,
ivalid @ ( iimplies @ ( iatom @ b ) @ ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3) ).
thf(f25,axiom,
ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4) ).
thf(f26,conjecture,
ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f27,negated_conjecture,
~ ( ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
thf(f28,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f29,plain,
ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ),
inference(rectify,[],[f25]) ).
thf(f30,plain,
( ( ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ) )
= $true ),
inference(fool_elimination,[],[f29]) ).
thf(f32,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( irel @ X2 @ X1 )
& ( irel @ X0 @ X2 ) )
=> ( irel @ X0 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f34,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y2 @ Y0 )
& ( irel @ Y0 @ Y1 ) )
=> ( irel @ Y2 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f35,plain,
~ ( ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) ) ) ) ),
inference(rectify,[],[f27]) ).
thf(f36,plain,
( ( ~ ( ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f35]) ).
thf(f37,plain,
ivalid @ ( iatom @ a3 ),
inference(rectify,[],[f22]) ).
thf(f38,plain,
( ( ivalid @ ( iatom @ a3 ) )
= $true ),
inference(fool_elimination,[],[f37]) ).
thf(f43,plain,
ivalid @ ( iimplies @ ( iatom @ b ) @ ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ),
inference(rectify,[],[f24]) ).
thf(f44,plain,
( ( ivalid @ ( iimplies @ ( iatom @ b ) @ ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f43]) ).
thf(f45,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f48,plain,
ivalid @ ( iimplies @ ( iatom @ b1 ) @ ( ior @ ( ior @ ( iatom @ b2 ) @ ( iatom @ a2 ) ) @ ( iatom @ b2 ) ) ),
inference(rectify,[],[f23]) ).
thf(f49,plain,
( ( ivalid @ ( iimplies @ ( iatom @ b1 ) @ ( ior @ ( ior @ ( iatom @ b2 ) @ ( iatom @ a2 ) ) @ ( iatom @ b2 ) ) ) )
= $true ),
inference(fool_elimination,[],[f48]) ).
thf(f50,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f51,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= ivalid ),
inference(rectify,[],[f18]) ).
thf(f52,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f54,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) )
= mand ),
inference(rectify,[],[f5]) ).
thf(f55,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f54]) ).
thf(f56,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f57,plain,
( ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) )
= mbox_s4 ),
inference(rectify,[],[f7]) ).
thf(f58,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f57]) ).
thf(f59,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(rectify,[],[f1]) ).
thf(f60,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) )
= $true ),
inference(fool_elimination,[],[f59]) ).
thf(f62,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f63,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f62]) ).
thf(f67,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f68,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f67]) ).
thf(f69,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f70,plain,
( ( ivalid @ ( iimplies @ ( iatom @ b ) @ ( ior @ ( ior @ ( iatom @ b1 ) @ ( iatom @ a1 ) ) @ ( iatom @ b1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f44]) ).
thf(f71,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f28]) ).
thf(f72,plain,
( ( ivalid @ ( iimplies @ ( iatom @ b1 ) @ ( ior @ ( ior @ ( iatom @ b2 ) @ ( iatom @ a2 ) ) @ ( iatom @ b2 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f49]) ).
thf(f73,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f68]) ).
thf(f74,plain,
( ( ~ ( ivalid @ ( ior @ ( iatom @ a ) @ ( ior @ ( iand @ ( iatom @ b ) @ ( iatom @ a1 ) ) @ ( ior @ ( iand @ ( iatom @ b1 ) @ ( iatom @ a2 ) ) @ ( iand @ ( iatom @ b2 ) @ ( iatom @ a3 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f36]) ).
thf(f77,plain,
( ( ivalid @ ( iatom @ a3 ) )
= $true ),
inference(cnf_transformation,[],[f38]) ).
thf(f78,plain,
( ( ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ) )
= $true ),
inference(cnf_transformation,[],[f30]) ).
thf(f79,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mand @ Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f45]) ).
thf(f81,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( irel @ Y0 @ Y0 ) )
= $true ),
inference(cnf_transformation,[],[f60]) ).
thf(f82,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f87,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f88,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y2 @ Y0 )
& ( irel @ Y0 @ Y1 ) )
=> ( irel @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f89,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f63]) ).
thf(f90,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f92,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f93,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f97,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,[],[f71,f73,f89]) ).
thf(f100,plain,
( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ Y0
@ Y1 ) ) ),
inference(definition_unfolding,[],[f79,f69]) ).
thf(f101,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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,[],[f87,f73,f90,f90]) ).
thf(f102,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,[],[f82,f97,f90,f90]) ).
thf(f106,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( 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
@ b )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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
@ a1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b1 ) ) ) )
= $true ),
inference(definition_unfolding,[],[f70,f92,f102,f93,f101,f101,f93,f93,f93]) ).
thf(f107,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( 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
@ b1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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
@ b2 )
@ ( ^ [Y0: $i > $o] : Y0
@ a2 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b2 ) ) ) ) ),
inference(definition_unfolding,[],[f72,f92,f102,f93,f101,f101,f93,f93,f93]) ).
thf(f108,plain,
( $true
= ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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
@ a )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o] : Y0
@ b )
@ ( ^ [Y0: $i > $o] : Y0
@ a1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o] : Y0
@ b1 )
@ ( ^ [Y0: $i > $o] : Y0
@ a2 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
& ( Y3 @ Y4 ) )
@ Y0
@ Y1 )
@ ( ^ [Y0: $i > $o] : Y0
@ b2 )
@ ( ^ [Y0: $i > $o] : Y0
@ a3 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f74,f92,f101,f93,f101,f100,f93,f93,f101,f100,f93,f93,f100,f93,f93]) ).
thf(f109,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ a3 ) )
= $true ),
inference(definition_unfolding,[],[f77,f92,f93]) ).
thf(f110,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [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
@ b )
@ ( ^ [Y0: $i > $o] : Y0
@ a ) )
@ ( ^ [Y0: $i > $o] : Y0
@ b ) ) )
= $true ),
inference(definition_unfolding,[],[f78,f92,f101,f101,f93,f93,f93]) ).
thf(f111,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f106]) ).
thf(f112,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a2 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b2 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f107]) ).
thf(f113,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b @ Y2 )
& ( a1 @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( b1 @ Y3 )
& ( a2 @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( b2 @ Y3 )
& ( a3 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f108]) ).
thf(f114,plain,
( ( !! @ $i @ a3 )
= $true ),
inference(beta-eta_normalization,[],[f109]) ).
thf(f115,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f110]) ).
thf(f116,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b @ Y2 )
& ( a1 @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( b1 @ Y3 )
& ( a2 @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( b2 @ Y3 )
& ( a3 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f113]) ).
thf(f117,plain,
( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b @ Y2 )
& ( a1 @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( b1 @ Y3 )
& ( a2 @ Y3 ) ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( ( b2 @ Y3 )
& ( a3 @ Y3 ) ) ) ) ) ) ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f116]) ).
thf(f118,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( a @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
& ( a1 @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b1 @ Y2 )
& ( a2 @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b2 @ Y2 )
& ( a3 @ Y2 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f117]) ).
thf(f119,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
& ( a1 @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b1 @ Y2 )
& ( a2 @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b2 @ Y2 )
& ( a3 @ Y2 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f118]) ).
thf(f120,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( a @ Y0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f118]) ).
thf(f121,plain,
( ( ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( a @ Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f120]) ).
thf(f122,plain,
( ( ( irel @ sK0 @ sK1 )
=> ( a @ sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f121]) ).
thf(f123,plain,
( ( a @ sK1 )
= $false ),
inference(imp_proxy_clausification,[],[f122]) ).
thf(f124,plain,
( ( irel @ sK0 @ sK1 )
= $true ),
inference(imp_proxy_clausification,[],[f122]) ).
thf(f125,plain,
( ( ^ [Y0: $i] :
( ( irel @ sK0 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b @ Y1 )
& ( a1 @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b1 @ Y2 )
& ( a2 @ Y2 ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( b2 @ Y2 )
& ( a3 @ Y2 ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f119]) ).
thf(f126,plain,
( ( ( irel @ sK0 @ sK2 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
& ( a1 @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b1 @ Y1 )
& ( a2 @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b2 @ Y1 )
& ( a3 @ Y1 ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f127,plain,
( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
& ( a1 @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b1 @ Y1 )
& ( a2 @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b2 @ Y1 )
& ( a3 @ Y1 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f126]) ).
thf(f128,plain,
( $true
= ( irel @ sK0 @ sK2 ) ),
inference(imp_proxy_clausification,[],[f126]) ).
thf(f129,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b1 @ Y1 )
& ( a2 @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b2 @ Y1 )
& ( a3 @ Y1 ) ) ) ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f127]) ).
thf(f130,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
& ( a1 @ Y0 ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f127]) ).
thf(f146,plain,
! [X1: $i] :
( $true
= ( a3 @ X1 ) ),
inference(pi_proxy_clausification,[],[f114]) ).
thf(f147,plain,
( ( ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( b @ Y0 )
& ( a1 @ Y0 ) ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f130]) ).
thf(f149,plain,
( $false
= ( ( irel @ sK2 @ sK3 )
=> ( ( b @ sK3 )
& ( a1 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f151,plain,
( ( ( b @ sK3 )
& ( a1 @ sK3 ) )
= $false ),
inference(imp_proxy_clausification,[],[f149]) ).
thf(f152,plain,
( ( irel @ sK2 @ sK3 )
= $true ),
inference(imp_proxy_clausification,[],[f149]) ).
thf(f153,plain,
( ( ( a1 @ sK3 )
= $false )
| ( ( b @ sK3 )
= $false ) ),
inference(and_proxy_clausification,[],[f151]) ).
thf(f155,definition,
( spl4_1
<=> ( ( a1 @ sK3 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f157,plain,
( ( ( a1 @ sK3 )
= $false )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f159,definition,
( spl4_2
<=> ( ( b @ sK3 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f161,plain,
( ( ( b @ sK3 )
= $false )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f159]) ).
thf(f162,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f153,f159,f155]) ).
thf(f163,plain,
( ( ^ [Y0: $i] :
( ( irel @ sK2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b1 @ Y1 )
& ( a2 @ Y1 ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( b2 @ Y1 )
& ( a3 @ Y1 ) ) ) ) ) )
@ sK5 )
= $false ),
inference(sigma_proxy_clausification,[],[f129]) ).
thf(f166,plain,
( ( ( irel @ sK2 @ sK5 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b1 @ Y0 )
& ( a2 @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b2 @ Y0 )
& ( a3 @ Y0 ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f163]) ).
thf(f167,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b1 @ Y0 )
& ( a2 @ Y0 ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b2 @ Y0 )
& ( a3 @ Y0 ) ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f166]) ).
thf(f168,plain,
( $true
= ( irel @ sK2 @ sK5 ) ),
inference(imp_proxy_clausification,[],[f166]) ).
thf(f169,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b2 @ Y0 )
& ( a3 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f167]) ).
thf(f170,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b1 @ Y0 )
& ( a2 @ Y0 ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f167]) ).
thf(f173,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( irel @ Y0 @ Y0 )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f81]) ).
thf(f174,plain,
! [X1: $i] :
( ( irel @ X1 @ X1 )
= $true ),
inference(beta-eta_normalization,[],[f173]) ).
thf(f175,plain,
( ( ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b2 @ Y0 )
& ( a3 @ Y0 ) ) )
@ sK6 )
= $false ),
inference(sigma_proxy_clausification,[],[f169]) ).
thf(f177,plain,
( ( ( irel @ sK5 @ sK6 )
=> ( ( b2 @ sK6 )
& ( a3 @ sK6 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f175]) ).
thf(f179,plain,
( ( ( irel @ sK5 @ sK6 )
=> ( ( b2 @ sK6 )
& $true ) )
= $false ),
inference(forward_demodulation,[],[f177,f146]) ).
thf(f180,plain,
( ( ( irel @ sK5 @ sK6 )
=> ( b2 @ sK6 ) )
= $false ),
inference(boolean_simplification,[],[f179]) ).
thf(f181,plain,
( ( b2 @ sK6 )
= $false ),
inference(imp_proxy_clausification,[],[f180]) ).
thf(f182,plain,
( $true
= ( irel @ sK5 @ sK6 ) ),
inference(imp_proxy_clausification,[],[f180]) ).
thf(f183,plain,
( ( ^ [Y0: $i] :
( ( irel @ sK5 @ Y0 )
=> ( ( b1 @ Y0 )
& ( a2 @ Y0 ) ) )
@ sK7 )
= $false ),
inference(sigma_proxy_clausification,[],[f170]) ).
thf(f186,plain,
( ( ( irel @ sK5 @ sK7 )
=> ( ( b1 @ sK7 )
& ( a2 @ sK7 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f183]) ).
thf(f187,plain,
( ( ( b1 @ sK7 )
& ( a2 @ sK7 ) )
= $false ),
inference(imp_proxy_clausification,[],[f186]) ).
thf(f188,plain,
( ( irel @ sK5 @ sK7 )
= $true ),
inference(imp_proxy_clausification,[],[f186]) ).
thf(f189,plain,
( ( ( b1 @ sK7 )
= $false )
| ( $false
= ( a2 @ sK7 ) ) ),
inference(and_proxy_clausification,[],[f187]) ).
thf(f191,definition,
( spl4_3
<=> ( $false
= ( a2 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f193,plain,
( ( $false
= ( a2 @ sK7 ) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f191]) ).
thf(f195,definition,
( spl4_4
<=> ( ( b1 @ sK7 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f197,plain,
( ( ( b1 @ sK7 )
= $false )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f195]) ).
thf(f198,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f189,f195,f191]) ).
thf(f199,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( irel @ Y2 @ Y0 )
& ( irel @ Y0 @ Y1 ) )
=> ( irel @ Y2 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f88]) ).
thf(f200,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( irel @ Y1 @ X1 )
& ( irel @ X1 @ Y0 ) )
=> ( irel @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f199]) ).
thf(f205,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( irel @ Y1 @ X1 )
& ( irel @ X1 @ Y0 ) )
=> ( irel @ Y1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f200]) ).
thf(f206,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( ( irel @ Y0 @ X1 )
& ( irel @ X1 @ X2 ) )
=> ( irel @ Y0 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f205]) ).
thf(f207,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( irel @ Y0 @ X1 )
& ( irel @ X1 @ X2 ) )
=> ( irel @ Y0 @ X2 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f206]) ).
thf(f208,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( ( irel @ X3 @ X1 )
& ( irel @ X1 @ X2 ) )
=> ( irel @ X3 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f207]) ).
thf(f209,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( irel @ X3 @ X1 )
& ( irel @ X1 @ X2 ) )
= $false )
| ( $true
= ( irel @ X3 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f208]) ).
thf(f210,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( irel @ X3 @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X3 @ X1 )
= $false ) ),
inference(and_proxy_clausification,[],[f209]) ).
thf(f213,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f115]) ).
thf(f214,plain,
! [X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f213]) ).
thf(f215,plain,
! [X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) ) ) ) )
= $true )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f214]) ).
thf(f216,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a @ Y1 ) ) ) ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f215]) ).
thf(f217,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( a @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f218,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( a @ Y0 ) ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f217]) ).
thf(f219,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( a @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f218]) ).
thf(f220,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b @ Y0 ) )
@ X3 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( a @ Y0 ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f219]) ).
thf(f221,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( irel @ X2 @ X3 )
=> ( b @ X3 ) )
= $true )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( a @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f220]) ).
thf(f222,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( a @ Y0 ) ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( b @ X3 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f221]) ).
thf(f223,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( a @ Y0 ) )
@ X4 ) )
| ( $true
= ( b @ X3 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f222]) ).
thf(f224,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( b @ X3 ) )
| ( $true
= ( ( irel @ X2 @ X4 )
=> ( a @ X4 ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( ( irel @ X2 @ X3 )
= $false ) ),
inference(beta-eta_normalization,[],[f223]) ).
thf(f225,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) )
| ( $true
= ( b @ X3 ) )
| ( ( irel @ X2 @ X4 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( a @ X4 )
= $true ) ),
inference(imp_proxy_clausification,[],[f224]) ).
thf(f226,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X2 @ X3 )
= $false )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) )
@ X5 )
= $true )
| ( $true
= ( b @ X3 ) )
| ( ( a @ X4 )
= $true )
| ( ( irel @ X2 @ X4 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f225]) ).
thf(f227,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( $true
= ( b @ X3 ) )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( a @ X4 )
= $true )
| ( ( ( irel @ X1 @ X5 )
=> ( b @ X5 ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X4 )
= $false ) ),
inference(beta-eta_normalization,[],[f226]) ).
thf(f228,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X2 @ X4 )
= $false )
| ( ( irel @ X1 @ X5 )
= $false )
| ( $true
= ( b @ X3 ) )
| ( ( a @ X4 )
= $true )
| ( $true
= ( b @ X5 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f227]) ).
thf(f239,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( ( irel @ X3 @ X0 )
= $false )
| ( ( irel @ X2 @ X1 )
= $false )
| ( $true
= ( b @ X5 ) )
| ( ( b @ X4 )
= $true )
| ( ( irel @ X0 @ X5 )
= $false )
| ( $true = $false )
| ( ( irel @ X3 @ X4 )
= $false ) ),
inference(superposition,[],[f210,f228]) ).
thf(f259,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X3 @ X0 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( b @ X5 ) )
| ( ( irel @ X0 @ X5 )
= $false )
| ( $true
= ( a @ X1 ) )
| ( ( irel @ X2 @ X1 )
= $false )
| ( ( b @ X4 )
= $true ) ),
inference(trivial_inequality_removal,[],[f239]) ).
thf(f272,definition,
( spl4_5
<=> ! [X2: $i] :
( ( ( b @ X2 )
= $true )
| ( ( irel @ sK2 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f273,plain,
( ! [X2: $i] :
( ( ( irel @ sK2 @ X2 )
= $false )
| ( ( b @ X2 )
= $true ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f272]) ).
thf(f316,definition,
( spl4_14
<=> ! [X0: $i,X1: $i] :
( ( ( irel @ X0 @ sK0 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( b @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
thf(f317,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ X0 @ sK0 )
= $false )
| ( $true
= ( b @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false ) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f316]) ).
thf(f319,definition,
( spl4_15
<=> ! [X2: $i] :
( ( ( irel @ sK0 @ X2 )
= $false )
| ( ( b @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
thf(f320,plain,
( ! [X2: $i] :
( ( ( irel @ sK0 @ X2 )
= $false )
| ( ( b @ X2 )
= $true ) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f319]) ).
thf(f327,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b1 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f111]) ).
thf(f328,plain,
! [X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f327]) ).
thf(f329,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f328]) ).
thf(f330,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f329]) ).
thf(f333,plain,
( ( $true = $false )
| ( ( b @ sK3 )
= $true )
| ~ spl4_5 ),
inference(superposition,[],[f273,f152]) ).
thf(f347,plain,
( ( ( b @ sK3 )
= $true )
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f333]) ).
thf(f352,plain,
( ( $true = $false )
| ~ spl4_2
| ~ spl4_5 ),
inference(forward_demodulation,[],[f347,f161]) ).
thf(f353,plain,
( $false
| ~ spl4_2
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f352]) ).
thf(f354,plain,
( ~ spl4_2
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f353]) ).
thf(f355,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b1 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) ) ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f330]) ).
thf(f356,plain,
! [X2: $i,X1: $i] :
( ( ( ( irel @ X1 @ X2 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f355]) ).
thf(f357,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f356]) ).
thf(f358,plain,
! [X2: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(or_proxy_clausification,[],[f357]) ).
thf(f359,plain,
( ! [X0: $i] :
( ( ( irel @ sK0 @ X0 )
= $false )
| ( $true = $false )
| ( ( b @ X0 )
= $true ) )
| ~ spl4_14 ),
inference(superposition,[],[f317,f174]) ).
thf(f366,plain,
( ! [X0: $i] :
( ( ( irel @ sK0 @ X0 )
= $false )
| ( ( b @ X0 )
= $true ) )
| ~ spl4_14 ),
inference(trivial_inequality_removal,[],[f359]) ).
thf(f371,plain,
( spl4_15
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f366,f316,f319]) ).
thf(f386,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 )
= $true )
| ( ( irel @ sK0 @ X1 )
= $false )
| ( $true = $false )
| ( ( irel @ X1 @ X0 )
= $false ) )
| ~ spl4_15 ),
inference(superposition,[],[f210,f320]) ).
thf(f390,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK0 @ X1 )
= $false )
| ( ( b @ X0 )
= $true )
| ( ( irel @ X1 @ X0 )
= $false ) )
| ~ spl4_15 ),
inference(trivial_inequality_removal,[],[f386]) ).
thf(f399,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a1 @ Y1 ) ) ) ) )
@ X3 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(pi_proxy_clausification,[],[f358]) ).
thf(f400,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( irel @ X2 @ X3 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a1 @ Y0 ) ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f399]) ).
thf(f401,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f400]) ).
thf(f402,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a1 @ Y0 ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(or_proxy_clausification,[],[f401]) ).
thf(f403,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a1 @ Y0 ) )
@ X4 ) )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f402]) ).
thf(f404,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( ( irel @ X3 @ X4 )
=> ( a1 @ X4 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f403]) ).
thf(f405,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X3 @ X4 )
= $false ) ),
inference(imp_proxy_clausification,[],[f404]) ).
thf(f406,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X2 @ X3 )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b1 @ Y0 ) )
@ X5 )
= $true )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false ) ),
inference(pi_proxy_clausification,[],[f405]) ).
thf(f407,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( ( irel @ X3 @ X5 )
=> ( b1 @ X5 ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f406]) ).
thf(f408,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $true )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f407]) ).
thf(f427,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b1 @ Y0 ) )
@ X6 ) )
| ( ( irel @ X3 @ X4 )
= $false ) ),
inference(pi_proxy_clausification,[],[f408]) ).
thf(f428,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( irel @ X2 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( ( irel @ X2 @ X6 )
=> ( b1 @ X6 ) ) )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X3 @ X5 )
= $false ) ),
inference(beta-eta_normalization,[],[f427]) ).
thf(f429,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) ) )
= $false )
| ( $true
= ( b1 @ X6 ) )
| ( $false
= ( irel @ X2 @ X6 ) )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( a1 @ X4 )
= $true ) ),
inference(imp_proxy_clausification,[],[f428]) ).
thf(f438,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( ( b @ X0 )
= $true )
| ( ( irel @ sK2 @ X0 )
= $false ) )
| ~ spl4_15 ),
inference(superposition,[],[f128,f390]) ).
thf(f443,plain,
( ! [X0: $i] :
( ( ( irel @ sK2 @ X0 )
= $false )
| ( ( b @ X0 )
= $true ) )
| ~ spl4_15 ),
inference(trivial_inequality_removal,[],[f438]) ).
thf(f450,plain,
( spl4_5
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f443,f319,f272]) ).
thf(f460,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( irel @ X3 @ X5 )
= $false )
| ( $true
= ( b1 @ X6 ) )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b @ Y0 ) )
@ ( sK8 @ X1 ) )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $false
= ( irel @ X2 @ X6 ) )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X3 @ X4 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f429]) ).
thf(f462,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( irel @ X3 @ X4 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( ( irel @ X1 @ ( sK8 @ X1 ) )
=> ( b @ ( sK8 @ X1 ) ) )
= $false )
| ( $true
= ( b1 @ X6 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $false
= ( irel @ X2 @ X6 ) )
| ( ( a1 @ X4 )
= $true ) ),
inference(beta-eta_normalization,[],[f460]) ).
thf(f464,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $false
= ( irel @ X2 @ X6 ) )
| ( $true
= ( b1 @ X6 ) )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( ( b @ ( sK8 @ X1 ) )
= $false )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false ) ),
inference(imp_proxy_clausification,[],[f462]) ).
thf(f465,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( irel @ X1 @ ( sK8 @ X1 ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( $true
= ( b1 @ X6 ) )
| ( ( irel @ X3 @ X5 )
= $false )
| ( $false
= ( irel @ X2 @ X6 ) ) ),
inference(imp_proxy_clausification,[],[f462]) ).
thf(f467,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b1 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( b2 @ Y3 ) ) )
| ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( a2 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b2 @ Y2 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f112]) ).
thf(f468,plain,
! [X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b2 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a2 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f467]) ).
thf(f469,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b2 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a2 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) ) ) ) ) )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f468]) ).
thf(f470,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b2 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a2 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) ) ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f469]) ).
thf(f489,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( b2 @ Y2 ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( a2 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) ) ) )
@ X2 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false ) ),
inference(pi_proxy_clausification,[],[f470]) ).
thf(f490,plain,
! [X2: $i,X1: $i] :
( ( ( ( irel @ X1 @ X2 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a2 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f489]) ).
thf(f491,plain,
! [X2: $i,X1: $i] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a2 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f490]) ).
thf(f492,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a2 @ Y1 ) ) ) ) ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f491]) ).
thf(f493,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( b2 @ Y1 ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( a2 @ Y1 ) ) ) ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f492]) ).
thf(f494,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( ( irel @ X2 @ X3 )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a2 @ Y0 ) ) ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f493]) ).
thf(f495,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( irel @ X2 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b2 @ Y0 ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a2 @ Y0 ) ) ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f494]) ).
thf(f496,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a2 @ Y0 ) ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f495]) ).
thf(f507,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( a2 @ Y0 ) )
@ X4 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f496]) ).
thf(f508,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( ( ( irel @ X3 @ X4 )
=> ( a2 @ X4 ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f507]) ).
thf(f509,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( $true
= ( a2 @ X4 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f508]) ).
thf(f510,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X3 @ Y0 )
=> ( b2 @ Y0 ) )
@ X5 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( a2 @ X4 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f509]) ).
thf(f511,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( ( irel @ X3 @ X5 )
=> ( b2 @ X5 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( $true
= ( a2 @ X4 ) ) ),
inference(beta-eta_normalization,[],[f510]) ).
thf(f512,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) ) )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( a2 @ X4 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( b2 @ X5 )
= $true ) ),
inference(imp_proxy_clausification,[],[f511]) ).
thf(f551,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( b2 @ X5 )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( $true
= ( a2 @ X4 ) )
| ( ( irel @ X3 @ X4 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( irel @ X2 @ Y0 )
=> ( b2 @ Y0 ) )
@ X6 ) )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false ) ),
inference(pi_proxy_clausification,[],[f512]) ).
thf(f552,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( a2 @ X4 ) )
| ( ( b2 @ X5 )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( ( irel @ X2 @ X6 )
=> ( b2 @ X6 ) )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false ) ),
inference(beta-eta_normalization,[],[f551]) ).
thf(f553,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) ) )
= $false )
| ( ( b2 @ X5 )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $false
= ( irel @ X2 @ X6 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( b2 @ X6 )
= $true )
| ( $true
= ( a2 @ X4 ) )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( irel @ X3 @ X4 )
= $false ) ),
inference(imp_proxy_clausification,[],[f552]) ).
thf(f554,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( b2 @ X6 )
= $true )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( b1 @ Y0 ) )
@ ( sK9 @ X1 ) )
= $false )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( a2 @ X4 ) )
| ( ( b2 @ X5 )
= $true )
| ( $false
= ( irel @ X2 @ X6 ) )
| ( ( irel @ X2 @ X3 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f553]) ).
thf(f556,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( a2 @ X4 ) )
| ( ( b2 @ X5 )
= $true )
| ( ( ( irel @ X1 @ ( sK9 @ X1 ) )
=> ( b1 @ ( sK9 @ X1 ) ) )
= $false )
| ( ( b2 @ X6 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X3 @ X4 )
= $false )
| ( $false
= ( irel @ X2 @ X6 ) ) ),
inference(beta-eta_normalization,[],[f554]) ).
thf(f558,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $false
= ( irel @ X2 @ X6 ) )
| ( ( b2 @ X5 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( b2 @ X6 )
= $true )
| ( $true
= ( a2 @ X4 ) )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( b1 @ ( sK9 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f556]) ).
thf(f559,plain,
! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $true
= ( irel @ X1 @ ( sK9 @ X1 ) ) )
| ( ( irel @ X3 @ X5 )
= $false )
| ( ( b2 @ X5 )
= $true )
| ( ( irel @ X3 @ X4 )
= $false )
| ( ( b2 @ X6 )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $false
= ( irel @ X2 @ X6 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( a2 @ X4 ) ) ),
inference(imp_proxy_clausification,[],[f556]) ).
thf(f776,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X0 )
= $false )
| ( $false != $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( b @ X1 ) )
| ( $true
= ( a @ X3 ) )
| ( $true
= ( b @ X1 ) ) ),
inference(equality_factoring,[],[f259]) ).
thf(f786,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $false != $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( b @ X1 ) )
| ( $true
= ( a @ X3 ) )
| ( ( irel @ X0 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[],[f776]) ).
thf(f787,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( b @ X1 ) )
| ( ( irel @ X0 @ X0 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( a @ X3 ) )
| ( ( irel @ X2 @ X3 )
= $false ) ),
inference(trivial_inequality_removal,[],[f786]) ).
thf(f800,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( a @ X3 ) )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( b @ X1 ) ) ),
inference(forward_demodulation,[],[f787,f174]) ).
thf(f801,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( b @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( a @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f800]) ).
thf(f824,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X2 @ X0 )
= $false )
| ( $true
= ( a1 @ X3 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X0 @ X0 )
= $false )
| ( ( b @ ( sK8 @ X2 ) )
= $false )
| ( ( b1 @ X1 )
= $true )
| ( ( b1 @ X1 )
= $true )
| ( ( irel @ X0 @ X3 )
= $false )
| ( $false != $false ) ),
inference(equality_factoring,[],[f464]) ).
thf(f831,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X2 @ X0 )
= $false )
| ( ( irel @ X0 @ X3 )
= $false )
| ( ( b1 @ X1 )
= $true )
| ( $true
= ( a1 @ X3 ) )
| ( $false != $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( b @ ( sK8 @ X2 ) )
= $false )
| ( ( irel @ X0 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[],[f824]) ).
thf(f832,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK8 @ X2 ) )
= $false )
| ( ( b1 @ X1 )
= $true )
| ( $true
= ( a1 @ X3 ) )
| ( ( irel @ X2 @ X0 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X0 @ X0 )
= $false )
| ( ( irel @ X0 @ X3 )
= $false ) ),
inference(trivial_inequality_removal,[],[f831]) ).
thf(f848,definition,
( spl4_20
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( a1 @ X3 ) )
| ( ( irel @ sK2 @ X0 )
= $false )
| ( ( irel @ X0 @ X3 )
= $false )
| ( ( b1 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
thf(f849,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X0 )
= $false )
| ( ( irel @ X0 @ X3 )
= $false )
| ( $true
= ( a1 @ X3 ) )
| ( ( b1 @ X1 )
= $true )
| ( ( irel @ X0 @ X1 )
= $false ) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f848]) ).
thf(f879,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X3 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X2 @ X0 )
= $false )
| ( ( b @ ( sK8 @ X2 ) )
= $false )
| ( $true
= ( a1 @ X3 ) )
| ( ( b1 @ X1 )
= $true )
| ( $true = $false ) ),
inference(forward_demodulation,[],[f832,f174]) ).
thf(f880,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X2 @ X0 )
= $false )
| ( ( b @ ( sK8 @ X2 ) )
= $false )
| ( ( irel @ X0 @ X3 )
= $false )
| ( $true
= ( a1 @ X3 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( b1 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f879]) ).
thf(f939,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X3 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( $true
= ( a2 @ X3 ) )
| ( ( irel @ X0 @ X0 )
= $false )
| ( ( irel @ X2 @ X0 )
= $false )
| ( ( b2 @ X1 )
= $true )
| ( ( b2 @ X1 )
= $true )
| ( $false != $false ) ),
inference(equality_factoring,[],[f558]) ).
thf(f947,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X1 )
= $false )
| ( ( b2 @ X1 )
= $true )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( ( irel @ X0 @ X3 )
= $false )
| ( ( irel @ X0 @ X0 )
= $false )
| ( ( irel @ X2 @ X0 )
= $false )
| ( $true
= ( a2 @ X3 ) )
| ( $false != $false ) ),
inference(duplicate_literal_removal,[],[f939]) ).
thf(f948,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b2 @ X1 )
= $true )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( ( irel @ X0 @ X0 )
= $false )
| ( $true
= ( a2 @ X3 ) )
| ( ( irel @ X2 @ X0 )
= $false )
| ( ( irel @ X0 @ X3 )
= $false ) ),
inference(trivial_inequality_removal,[],[f947]) ).
thf(f970,definition,
( spl4_34
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( ( irel @ X2 @ X0 )
= $false )
| ( $true
= ( a2 @ X3 ) )
| ( $true
= ( b2 @ X0 ) )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ sK2 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
thf(f971,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( ( irel @ sK2 @ X2 )
= $false )
| ( ( irel @ X2 @ X3 )
= $false )
| ( $true
= ( a2 @ X3 ) )
| ( $true
= ( b2 @ X0 ) )
| ( ( irel @ X2 @ X0 )
= $false ) )
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f970]) ).
thf(f981,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( ( b2 @ X1 )
= $true )
| ( ( irel @ X0 @ X3 )
= $false )
| ( ( irel @ X2 @ X0 )
= $false )
| ( $true = $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( a2 @ X3 ) ) ),
inference(forward_demodulation,[],[f948,f174]) ).
thf(f982,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X2 @ X0 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( $true
= ( a2 @ X3 ) )
| ( ( b2 @ X1 )
= $true )
| ( ( irel @ X0 @ X3 )
= $false ) ),
inference(trivial_inequality_removal,[],[f981]) ).
thf(f1034,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true = $false )
| ( ( irel @ X0 @ X4 )
= $false )
| ( $true
= ( b @ ( sK8 @ sK0 ) ) )
| ( ( irel @ X1 @ X3 )
= $false )
| ( $true
= ( b1 @ X4 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( b1 @ X2 ) )
| ( $true
= ( a1 @ X3 ) )
| ( ( irel @ sK0 @ X0 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) )
| ~ spl4_15 ),
inference(superposition,[],[f465,f320]) ).
thf(f1079,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( irel @ sK0 @ X0 )
= $false )
| ( ( irel @ X0 @ X4 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( b1 @ X2 ) )
| ( $true
= ( b1 @ X4 ) )
| ( ( irel @ X1 @ X3 )
= $false )
| ( $true
= ( b @ ( sK8 @ sK0 ) ) )
| ( $true
= ( a1 @ X3 ) ) )
| ~ spl4_15 ),
inference(trivial_inequality_removal,[],[f1034]) ).
thf(f1113,definition,
( spl4_45
<=> ! [X2: $i,X3: $i,X4: $i,X5: $i,X1: $i] :
( ( ( irel @ sK0 @ X1 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X2 @ X4 )
= $false )
| ( ( b1 @ X3 )
= $true )
| ( ( irel @ X1 @ X5 )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X2 @ X3 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl4_45])],[avatar_definition]) ).
thf(f1114,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ sK0 @ X1 )
= $false )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ X1 @ X5 )
= $false )
| ( ( a1 @ X4 )
= $true )
| ( ( irel @ X2 @ X4 )
= $false )
| ( ( b1 @ X3 )
= $true )
| ( ( irel @ X2 @ X3 )
= $false ) )
| ~ spl4_45 ),
inference(avatar_component_clause,[],[f1113]) ).
thf(f1294,definition,
( spl4_63
<=> ! [X4: $i,X0: $i,X3: $i,X2: $i,X1: $i] :
( ( ( irel @ sK2 @ X4 )
= $false )
| ( ( b2 @ X1 )
= $true )
| ( ( irel @ X4 @ X3 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( b2 @ X3 )
= $true )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X4 @ X0 )
= $false )
| ( ( a2 @ X2 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_63])],[avatar_definition]) ).
thf(f1295,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( irel @ sK2 @ X4 )
= $false )
| ( ( irel @ X4 @ X0 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( b2 @ X1 )
= $true )
| ( ( irel @ X4 @ X3 )
= $false )
| ( ( a2 @ X2 )
= $true )
| ( ( b2 @ X3 )
= $true ) )
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f1294]) ).
thf(f1619,definition,
( spl4_77
<=> ! [X1: $i] :
( ( ( b1 @ X1 )
= $true )
| ( ( irel @ ( sK9 @ sK2 ) @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl4_77])],[avatar_definition]) ).
thf(f1620,plain,
( ! [X1: $i] :
( ( ( irel @ ( sK9 @ sK2 ) @ X1 )
= $false )
| ( ( b1 @ X1 )
= $true ) )
| ~ spl4_77 ),
inference(avatar_component_clause,[],[f1619]) ).
thf(f1644,definition,
( spl4_83
<=> ! [X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( ( b1 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_83])],[avatar_definition]) ).
thf(f1645,plain,
( ! [X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( ( b1 @ X1 )
= $true ) )
| ~ spl4_83 ),
inference(avatar_component_clause,[],[f1644]) ).
thf(f1647,definition,
( spl4_84
<=> ! [X0: $i] :
( ( $true
= ( a1 @ X0 ) )
| ( ( irel @ sK2 @ X0 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl4_84])],[avatar_definition]) ).
thf(f1648,plain,
( ! [X0: $i] :
( ( ( irel @ sK2 @ X0 )
= $false )
| ( $true
= ( a1 @ X0 ) ) )
| ~ spl4_84 ),
inference(avatar_component_clause,[],[f1647]) ).
thf(f1655,definition,
( spl4_86
<=> ! [X1: $i] :
( ( ( irel @ sK5 @ X1 )
= $false )
| ( ( b1 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_86])],[avatar_definition]) ).
thf(f1656,plain,
( ! [X1: $i] :
( ( ( irel @ sK5 @ X1 )
= $false )
| ( ( b1 @ X1 )
= $true ) )
| ~ spl4_86 ),
inference(avatar_component_clause,[],[f1655]) ).
thf(f1763,definition,
( spl4_97
<=> ( $true
= ( b @ ( sK8 @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_97])],[avatar_definition]) ).
thf(f1765,plain,
( ( $true
= ( b @ ( sK8 @ sK0 ) ) )
| ~ spl4_97 ),
inference(avatar_component_clause,[],[f1763]) ).
thf(f1767,plain,
( spl4_97
| spl4_45
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f1079,f319,f1113,f1763]) ).
thf(f1874,plain,
! [X0: $i,X1: $i] :
( ( ( irel @ X1 @ sK0 )
= $false )
| ( $true
= ( a @ sK1 ) )
| ( ( b @ X0 )
= $true )
| ( ( irel @ X1 @ X0 )
= $false )
| ( $true = $false ) ),
inference(superposition,[],[f801,f124]) ).
thf(f1904,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 )
= $true )
| ( ( irel @ X1 @ X0 )
= $false )
| ( $true
= ( a @ sK1 ) )
| ( ( irel @ X1 @ sK0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1874]) ).
thf(f1916,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 )
= $true )
| ( ( irel @ X1 @ sK0 )
= $false )
| ( ( irel @ X1 @ X0 )
= $false )
| ( $true = $false ) ),
inference(forward_demodulation,[],[f1904,f123]) ).
thf(f1917,plain,
! [X0: $i,X1: $i] :
( ( ( irel @ X1 @ sK0 )
= $false )
| ( ( b @ X0 )
= $true )
| ( ( irel @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1916]) ).
thf(f1922,plain,
spl4_14,
inference(avatar_split_clause,[],[f1917,f316]) ).
thf(f1961,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( irel @ X1 @ X0 )
= $false )
| ( $true
= ( b1 @ X0 ) )
| ( ( irel @ sK2 @ X1 )
= $false ) )
| ~ spl4_83 ),
inference(superposition,[],[f210,f1645]) ).
thf(f1967,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( $true
= ( b1 @ X0 ) )
| ( ( irel @ X1 @ X0 )
= $false ) )
| ~ spl4_83 ),
inference(trivial_inequality_removal,[],[f1961]) ).
thf(f2101,plain,
! [X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( ( irel @ sK2 @ X0 )
= $false )
| ( ( b1 @ X1 )
= $true )
| ( $true = $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( b @ ( sK8 @ sK0 ) )
= $false ) ),
inference(superposition,[],[f128,f880]) ).
thf(f2121,plain,
! [X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( b @ ( sK8 @ sK0 ) )
= $false )
| ( ( b1 @ X1 )
= $true )
| ( ( irel @ sK2 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f2101]) ).
thf(f2263,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( irel @ X2 @ X1 )
= $false )
| ( ( irel @ X1 @ X3 )
= $false )
| ( $false
= ( irel @ X1 @ X4 ) )
| ( $true = $false )
| ( $true
= ( a2 @ X4 ) )
| ( ( b1 @ ( sK9 @ X0 ) )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( b2 @ X3 )
= $true ) ),
inference(superposition,[],[f210,f982]) ).
thf(f2280,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $false
= ( irel @ X1 @ X4 ) )
| ( $true
= ( a2 @ X4 ) )
| ( ( b2 @ X3 )
= $true )
| ( ( irel @ X2 @ X1 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( irel @ X1 @ X3 )
= $false )
| ( ( b1 @ ( sK9 @ X0 ) )
= $false ) ),
inference(trivial_inequality_removal,[],[f2263]) ).
thf(f2471,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( b1 @ X0 ) )
| ( ( b1 @ X3 )
= $true )
| ( ( irel @ sK2 @ X0 )
= $false )
| ( ( irel @ sK2 @ X1 )
= $false )
| ( $true
= ( a1 @ X2 ) )
| ( ( irel @ X1 @ X3 )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) )
| ~ spl4_45 ),
inference(superposition,[],[f128,f1114]) ).
thf(f2488,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( ( irel @ sK2 @ X0 )
= $false )
| ( ( b1 @ X3 )
= $true )
| ( ( irel @ sK2 @ X1 )
= $false )
| ( $true
= ( a1 @ X2 ) )
| ( ( irel @ X1 @ X3 )
= $false )
| ( $true
= ( b1 @ X0 ) ) )
| ~ spl4_45 ),
inference(trivial_inequality_removal,[],[f2471]) ).
thf(f2864,definition,
( spl4_141
<=> ! [X0: $i] :
( ( $true
= ( b2 @ X0 ) )
| ( $false
= ( irel @ sK5 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_141])],[avatar_definition]) ).
thf(f2865,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK5 @ X0 ) )
| ( $true
= ( b2 @ X0 ) ) )
| ~ spl4_141 ),
inference(avatar_component_clause,[],[f2864]) ).
thf(f2938,definition,
( spl4_143
<=> ! [X2: $i,X0: $i] :
( ( ( irel @ X2 @ X0 )
= $false )
| ( ( irel @ X0 @ sK5 )
= $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl4_143])],[avatar_definition]) ).
thf(f2939,plain,
( ! [X2: $i,X0: $i] :
( ( ( irel @ X2 @ X0 )
= $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( ( irel @ X0 @ sK5 )
= $false ) )
| ~ spl4_143 ),
inference(avatar_component_clause,[],[f2938]) ).
thf(f2959,plain,
( ( $true
= ( b2 @ sK6 ) )
| ( $true = $false )
| ~ spl4_141 ),
inference(superposition,[],[f182,f2865]) ).
thf(f2965,plain,
( ( $true
= ( b2 @ sK6 ) )
| ~ spl4_141 ),
inference(trivial_inequality_removal,[],[f2959]) ).
thf(f2987,plain,
( ( $true = $false )
| ~ spl4_141 ),
inference(forward_demodulation,[],[f2965,f181]) ).
thf(f2988,plain,
( $false
| ~ spl4_141 ),
inference(trivial_inequality_removal,[],[f2987]) ).
thf(f2989,plain,
~ spl4_141,
inference(avatar_contradiction_clause,[],[f2988]) ).
thf(f3004,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ sK2 @ X4 )
= $false )
| ( ( b2 @ X3 )
= $true )
| ( ( b2 @ X1 )
= $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( irel @ X4 @ X3 )
= $false )
| ( $true = $false )
| ( ( irel @ ( sK9 @ sK2 ) @ X5 )
= $false )
| ( ( a2 @ X2 )
= $true )
| ( ( b1 @ X5 )
= $true )
| ( ( irel @ X4 @ X0 )
= $false ) )
| ~ spl4_83 ),
inference(superposition,[],[f559,f1967]) ).
thf(f3006,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( irel @ sK5 @ X0 ) )
| ( $true
= ( b1 @ X0 ) ) )
| ~ spl4_83 ),
inference(superposition,[],[f168,f1967]) ).
thf(f3015,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK5 @ X0 ) )
| ( $true
= ( b1 @ X0 ) ) )
| ~ spl4_83 ),
inference(trivial_inequality_removal,[],[f3006]) ).
thf(f3018,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ sK2 @ X4 )
= $false )
| ( ( irel @ X4 @ X3 )
= $false )
| ( ( b2 @ X1 )
= $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( a2 @ X2 )
= $true )
| ( ( irel @ ( sK9 @ sK2 ) @ X5 )
= $false )
| ( ( b2 @ X3 )
= $true )
| ( ( irel @ X4 @ X0 )
= $false )
| ( ( b1 @ X5 )
= $true ) )
| ~ spl4_83 ),
inference(trivial_inequality_removal,[],[f3004]) ).
thf(f3023,plain,
( spl4_86
| ~ spl4_83 ),
inference(avatar_split_clause,[],[f3015,f1644,f1655]) ).
thf(f3024,plain,
( spl4_63
| spl4_77
| ~ spl4_83 ),
inference(avatar_split_clause,[],[f3018,f1644,f1619,f1294]) ).
thf(f3030,plain,
( ( $true = $false )
| ( $true
= ( b1 @ sK7 ) )
| ~ spl4_86 ),
inference(superposition,[],[f1656,f188]) ).
thf(f3038,plain,
( ( $true
= ( b1 @ sK7 ) )
| ~ spl4_86 ),
inference(trivial_inequality_removal,[],[f3030]) ).
thf(f3158,definition,
( spl4_152
<=> ( ( b @ ( sK8 @ sK0 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_152])],[avatar_definition]) ).
thf(f3160,plain,
( ( ( b @ ( sK8 @ sK0 ) )
= $false )
| ~ spl4_152 ),
inference(avatar_component_clause,[],[f3158]) ).
thf(f3250,plain,
( spl4_20
| spl4_83
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f2488,f1113,f1644,f848]) ).
thf(f3256,plain,
( spl4_83
| spl4_84
| spl4_152 ),
inference(avatar_split_clause,[],[f2121,f3158,f1647,f1644]) ).
thf(f3354,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( irel @ sK2 @ X0 )
= $false )
| ( ( irel @ sK2 @ X1 )
= $false )
| ( $true
= ( a1 @ X0 ) )
| ( ( b1 @ X1 )
= $true ) )
| ~ spl4_20 ),
inference(superposition,[],[f849,f174]) ).
thf(f3375,plain,
( ! [X0: $i,X1: $i] :
( ( ( b1 @ X1 )
= $true )
| ( $true
= ( a1 @ X0 ) )
| ( ( irel @ sK2 @ X0 )
= $false )
| ( ( irel @ sK2 @ X1 )
= $false ) )
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f3354]) ).
thf(f3388,plain,
( spl4_83
| spl4_84
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f3375,f848,f1647,f1644]) ).
thf(f3487,plain,
( ( ( a1 @ sK3 )
= $true )
| ( $true = $false )
| ~ spl4_84 ),
inference(superposition,[],[f152,f1648]) ).
thf(f3497,plain,
( ( ( a1 @ sK3 )
= $true )
| ~ spl4_84 ),
inference(trivial_inequality_removal,[],[f3487]) ).
thf(f3516,plain,
( ( $true = $false )
| ~ spl4_1
| ~ spl4_84 ),
inference(forward_demodulation,[],[f3497,f157]) ).
thf(f3517,plain,
( $false
| ~ spl4_1
| ~ spl4_84 ),
inference(trivial_inequality_removal,[],[f3516]) ).
thf(f3518,plain,
( ~ spl4_1
| ~ spl4_84 ),
inference(avatar_contradiction_clause,[],[f3517]) ).
thf(f4571,plain,
( ( $true = $false )
| ( ( b1 @ ( sK9 @ sK2 ) )
= $false )
| ( $false
= ( irel @ sK5 @ sK5 ) )
| ~ spl4_143 ),
inference(superposition,[],[f168,f2939]) ).
thf(f4584,plain,
( ( $false
= ( irel @ sK5 @ sK5 ) )
| ( ( b1 @ ( sK9 @ sK2 ) )
= $false )
| ~ spl4_143 ),
inference(trivial_inequality_removal,[],[f4571]) ).
thf(f5074,definition,
( spl4_196
<=> ! [X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( ( b2 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl4_196])],[avatar_definition]) ).
thf(f5075,plain,
( ! [X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( ( b2 @ X1 )
= $true ) )
| ~ spl4_196 ),
inference(avatar_component_clause,[],[f5074]) ).
thf(f5390,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( irel @ sK5 @ X0 ) )
| ( $true = $false )
| ( ( irel @ sK5 @ X1 )
= $false )
| ( ( a2 @ X0 )
= $true )
| ( ( b2 @ X1 )
= $true ) )
| ~ spl4_34 ),
inference(superposition,[],[f971,f168]) ).
thf(f5406,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK5 @ X1 )
= $false )
| ( ( b2 @ X1 )
= $true )
| ( $false
= ( irel @ sK5 @ X0 ) )
| ( ( a2 @ X0 )
= $true ) )
| ~ spl4_34 ),
inference(trivial_inequality_removal,[],[f5390]) ).
thf(f5417,definition,
( spl4_210
<=> ! [X0: $i] :
( ( ( a2 @ X0 )
= $true )
| ( $false
= ( irel @ sK5 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_210])],[avatar_definition]) ).
thf(f5418,plain,
( ! [X0: $i] :
( ( $false
= ( irel @ sK5 @ X0 ) )
| ( ( a2 @ X0 )
= $true ) )
| ~ spl4_210 ),
inference(avatar_component_clause,[],[f5417]) ).
thf(f5426,plain,
( spl4_210
| spl4_141
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f5406,f970,f2864,f5417]) ).
thf(f5488,plain,
( ( $true
= ( a2 @ sK7 ) )
| ( $true = $false )
| ~ spl4_210 ),
inference(superposition,[],[f188,f5418]) ).
thf(f5493,plain,
( ( $true
= ( a2 @ sK7 ) )
| ~ spl4_210 ),
inference(trivial_inequality_removal,[],[f5488]) ).
thf(f5505,plain,
( ( $true = $false )
| ~ spl4_3
| ~ spl4_210 ),
inference(forward_demodulation,[],[f5493,f193]) ).
thf(f5506,plain,
( $false
| ~ spl4_3
| ~ spl4_210 ),
inference(trivial_inequality_removal,[],[f5505]) ).
thf(f5507,plain,
( ~ spl4_3
| ~ spl4_210 ),
inference(avatar_contradiction_clause,[],[f5506]) ).
thf(f5580,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_86 ),
inference(forward_demodulation,[],[f3038,f197]) ).
thf(f5581,plain,
( $false
| ~ spl4_4
| ~ spl4_86 ),
inference(trivial_inequality_removal,[],[f5580]) ).
thf(f5582,plain,
( ~ spl4_4
| ~ spl4_86 ),
inference(avatar_contradiction_clause,[],[f5581]) ).
thf(f5629,definition,
( spl4_219
<=> ( ( b1 @ ( sK9 @ sK2 ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_219])],[avatar_definition]) ).
thf(f5631,plain,
( ( ( b1 @ ( sK9 @ sK2 ) )
= $false )
| ~ spl4_219 ),
inference(avatar_component_clause,[],[f5629]) ).
thf(f5642,plain,
( ( ( b1 @ ( sK9 @ sK2 ) )
= $false )
| ( $true = $false )
| ~ spl4_143 ),
inference(forward_demodulation,[],[f4584,f174]) ).
thf(f5643,plain,
( ( ( b1 @ ( sK9 @ sK2 ) )
= $false )
| ~ spl4_143 ),
inference(trivial_inequality_removal,[],[f5642]) ).
thf(f5732,plain,
( spl4_219
| ~ spl4_143 ),
inference(avatar_split_clause,[],[f5643,f2938,f5629]) ).
thf(f6047,plain,
( ( $true = $false )
| ( ( b1 @ ( sK9 @ sK2 ) )
= $true )
| ~ spl4_77 ),
inference(superposition,[],[f1620,f174]) ).
thf(f6064,plain,
( ( ( b1 @ ( sK9 @ sK2 ) )
= $true )
| ~ spl4_77 ),
inference(trivial_inequality_removal,[],[f6047]) ).
thf(f6084,plain,
( ( $true = $false )
| ~ spl4_77
| ~ spl4_219 ),
inference(forward_demodulation,[],[f6064,f5631]) ).
thf(f6085,plain,
( $false
| ~ spl4_77
| ~ spl4_219 ),
inference(trivial_inequality_removal,[],[f6084]) ).
thf(f6086,plain,
( ~ spl4_77
| ~ spl4_219 ),
inference(avatar_contradiction_clause,[],[f6085]) ).
thf(f6364,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X0 )
= $false )
| ( ( a2 @ X1 )
= $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( b2 @ X3 )
= $true )
| ( $true = $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( b2 @ X2 ) )
| ( ( irel @ sK2 @ X3 )
= $false ) )
| ~ spl4_63 ),
inference(superposition,[],[f1295,f174]) ).
thf(f6395,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X3 )
= $false )
| ( $true
= ( b2 @ X2 ) )
| ( ( b2 @ X3 )
= $true )
| ( ( a2 @ X1 )
= $true )
| ( ( irel @ sK2 @ X0 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( irel @ X0 @ X1 )
= $false ) )
| ~ spl4_63 ),
inference(trivial_inequality_removal,[],[f6364]) ).
thf(f6406,plain,
( spl4_34
| spl4_196
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f6395,f1294,f5074,f970]) ).
thf(f6417,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( $true
= ( b2 @ X0 ) )
| ( ( irel @ X1 @ X0 )
= $false )
| ( $true = $false ) )
| ~ spl4_196 ),
inference(superposition,[],[f210,f5075]) ).
thf(f6425,plain,
( ! [X0: $i,X1: $i] :
( ( ( irel @ sK2 @ X1 )
= $false )
| ( $true
= ( b2 @ X0 ) )
| ( ( irel @ X1 @ X0 )
= $false ) )
| ~ spl4_196 ),
inference(trivial_inequality_removal,[],[f6417]) ).
thf(f7013,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( ( irel @ X1 @ sK5 )
= $false )
| ( ( irel @ X2 @ X1 )
= $false )
| ( $true
= ( b2 @ X0 ) )
| ( $true
= ( a2 @ sK7 ) )
| ( $false
= ( irel @ sK5 @ X0 ) ) ),
inference(superposition,[],[f188,f2280]) ).
thf(f7024,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( a2 @ sK7 ) )
| ( ( irel @ X1 @ sK5 )
= $false )
| ( ( irel @ X2 @ X1 )
= $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( $false
= ( irel @ sK5 @ X0 ) )
| ( $true
= ( b2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f7013]) ).
thf(f7043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b1 @ ( sK9 @ X2 ) )
= $false )
| ( ( irel @ X1 @ sK5 )
= $false )
| ( ( irel @ X2 @ X1 )
= $false )
| ( $true = $false )
| ( $true
= ( b2 @ X0 ) )
| ( $false
= ( irel @ sK5 @ X0 ) ) )
| ~ spl4_3 ),
inference(forward_demodulation,[],[f7024,f193]) ).
thf(f7044,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( irel @ sK5 @ X0 ) )
| ( $true
= ( b2 @ X0 ) )
| ( ( irel @ X2 @ X1 )
= $false )
| ( ( irel @ X1 @ sK5 )
= $false )
| ( ( b1 @ ( sK9 @ X2 ) )
= $false ) )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f7043]) ).
thf(f7046,plain,
( spl4_143
| spl4_141
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f7044,f191,f2864,f2938]) ).
thf(f7415,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $true
= ( b2 @ X0 ) )
| ( $false
= ( irel @ sK5 @ X0 ) ) )
| ~ spl4_196 ),
inference(superposition,[],[f168,f6425]) ).
thf(f7427,plain,
( ! [X0: $i] :
( ( $true
= ( b2 @ X0 ) )
| ( $false
= ( irel @ sK5 @ X0 ) ) )
| ~ spl4_196 ),
inference(trivial_inequality_removal,[],[f7415]) ).
thf(f7431,plain,
( spl4_141
| ~ spl4_196 ),
inference(avatar_split_clause,[],[f7427,f5074,f2864]) ).
thf(f7567,plain,
( ( $true = $false )
| ~ spl4_97
| ~ spl4_152 ),
inference(forward_demodulation,[],[f1765,f3160]) ).
thf(f7568,plain,
( $false
| ~ spl4_97
| ~ spl4_152 ),
inference(trivial_inequality_removal,[],[f7567]) ).
thf(f7569,plain,
( ~ spl4_97
| ~ spl4_152 ),
inference(avatar_contradiction_clause,[],[f7568]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f162]) ).
cnf(s2,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f198]) ).
cnf(s16,plain,
( ~ spl4_2
| ~ spl4_5 ),
inference(sat_conversion,[],[f354]) ).
cnf(s17,plain,
( ~ spl4_14
| spl4_15 ),
inference(sat_conversion,[],[f371]) ).
cnf(s22,plain,
( spl4_5
| ~ spl4_15 ),
inference(sat_conversion,[],[f450]) ).
cnf(s133,plain,
( ~ spl4_15
| spl4_45
| spl4_97 ),
inference(sat_conversion,[],[f1767]) ).
cnf(s173,plain,
spl4_14,
inference(sat_conversion,[],[f1922]) ).
cnf(s297,plain,
~ spl4_141,
inference(sat_conversion,[],[f2989]) ).
cnf(s305,plain,
( ~ spl4_83
| spl4_86 ),
inference(sat_conversion,[],[f3023]) ).
cnf(s306,plain,
( spl4_63
| spl4_77
| ~ spl4_83 ),
inference(sat_conversion,[],[f3024]) ).
cnf(s349,plain,
( spl4_20
| ~ spl4_45
| spl4_83 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s353,plain,
( spl4_83
| spl4_84
| spl4_152 ),
inference(sat_conversion,[],[f3256]) ).
cnf(s370,plain,
( ~ spl4_20
| spl4_83
| spl4_84 ),
inference(sat_conversion,[],[f3388]) ).
cnf(s390,plain,
( ~ spl4_1
| ~ spl4_84 ),
inference(sat_conversion,[],[f3518]) ).
cnf(s519,plain,
( ~ spl4_34
| spl4_141
| spl4_210 ),
inference(sat_conversion,[],[f5426]) ).
cnf(s526,plain,
( ~ spl4_3
| ~ spl4_210 ),
inference(sat_conversion,[],[f5507]) ).
cnf(s535,plain,
( ~ spl4_4
| ~ spl4_86 ),
inference(sat_conversion,[],[f5582]) ).
cnf(s595,plain,
( ~ spl4_143
| spl4_219 ),
inference(sat_conversion,[],[f5732]) ).
cnf(s684,plain,
( ~ spl4_77
| ~ spl4_219 ),
inference(sat_conversion,[],[f6086]) ).
cnf(s712,plain,
( spl4_34
| ~ spl4_63
| spl4_196 ),
inference(sat_conversion,[],[f6406]) ).
cnf(s735,plain,
( ~ spl4_3
| spl4_141
| spl4_143 ),
inference(sat_conversion,[],[f7046]) ).
cnf(s754,plain,
( spl4_141
| ~ spl4_196 ),
inference(sat_conversion,[],[f7431]) ).
cnf(s809,plain,
( ~ spl4_97
| ~ spl4_152 ),
inference(sat_conversion,[],[f7569]) ).
cnf(s810,plain,
~ spl4_196,
inference(rat,[],[s754,s297]) ).
cnf(s820,plain,
spl4_15,
inference(rat,[],[s17,s173]) ).
cnf(s821,plain,
spl4_5,
inference(rat,[],[s22,s820]) ).
cnf(s825,plain,
~ spl4_2,
inference(rat,[],[s16,s821]) ).
cnf(s826,plain,
spl4_1,
inference(rat,[],[s1,s825]) ).
cnf(s827,plain,
~ spl4_84,
inference(rat,[],[s390,s826]) ).
cnf(s829,plain,
spl4_83,
inference(rat,[],[s133,s809,s349,s353,s370,s820,s827]) ).
cnf(s832,plain,
spl4_86,
inference(rat,[],[s305,s829]) ).
cnf(s839,plain,
~ spl4_4,
inference(rat,[],[s535,s832]) ).
cnf(s842,plain,
spl4_3,
inference(rat,[],[s2,s839]) ).
cnf(s843,plain,
spl4_143,
inference(rat,[],[s735,s297,s842]) ).
cnf(s844,plain,
~ spl4_210,
inference(rat,[],[s526,s842]) ).
cnf(s847,plain,
spl4_219,
inference(rat,[],[s595,s843]) ).
cnf(s849,plain,
~ spl4_34,
inference(rat,[],[s519,s297,s844]) ).
cnf(s852,plain,
~ spl4_77,
inference(rat,[],[s684,s847]) ).
cnf(s856,plain,
~ spl4_63,
inference(rat,[],[s712,s810,s849]) ).
cnf(s860,plain,
$false,
inference(rat,[],[s306,s829,s852,s856]) ).
thf(f7570,plain,
$false,
inference(avatar_sat_refutation,[],[s860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO064^4.003 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:21:52 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.37 % (546350)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.37 % (546361)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3347393929:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.37 % (546359)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=3770396769: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)
% 0.22/0.37 % (546358)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3077388645:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.37 % (546357)lrs+10_16_si=on:nwc=1.5:random_seed=2628685001:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.37 % (546360)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=644659193:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.37 % (546356)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2005726415:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.37 % (546358)Instruction limit reached!
% 0.22/0.37 % (546358)------------------------------
% 0.22/0.37 % (546358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (546358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (546358)CaDiCaL version: 2.1.3
% 0.22/0.37 % (546358)Termination reason: Instruction limit
% 0.22/0.37 % (546358)Termination phase: Property scanning
% 0.22/0.37 % (546358)Time elapsed: 0.002 s
% 0.22/0.37 % (546358)Peak memory usage: 10 MB
% 0.22/0.37 % (546358)Instructions burned: 5 (million)
% 0.22/0.37 % (546362)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.37 % (546362)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
% 0.22/0.37 % (546357)Instruction limit reached!
% 0.22/0.37 % (546357)------------------------------
% 0.22/0.37 % (546357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (546357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (546357)CaDiCaL version: 2.1.3
% 0.22/0.37 % (546357)Termination reason: Instruction limit
% 0.22/0.37 % (546357)Termination phase: Saturation
% 0.22/0.37 % (546357)Time elapsed: 0.009 s
% 0.22/0.37 % (546357)Peak memory usage: 12 MB
% 0.22/0.37 % (546357)Instructions burned: 18 (million)
% 0.22/0.37 % (546360)Instruction limit reached!
% 0.22/0.37 % (546360)------------------------------
% 0.22/0.37 % (546360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (546360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (546360)CaDiCaL version: 2.1.3
% 0.22/0.37 % (546360)Termination reason: Instruction limit
% 0.22/0.37 % (546360)Termination phase: Saturation
% 0.22/0.37 % (546360)Time elapsed: 0.013 s
% 0.22/0.37 % (546360)Peak memory usage: 12 MB
% 0.22/0.37 % (546360)Instructions burned: 24 (million)
% 0.22/0.37 % (546361)Instruction limit reached!
% 0.22/0.37 % (546361)------------------------------
% 0.22/0.37 % (546361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37 % (546361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37 % (546361)CaDiCaL version: 2.1.3
% 0.22/0.37 % (546361)Termination reason: Instruction limit
% 0.22/0.37 % (546361)Termination phase: Saturation
% 0.22/0.37 % (546361)Time elapsed: 0.020 s
% 0.22/0.37 % (546361)Peak memory usage: 12 MB
% 0.22/0.37 % (546361)Instructions burned: 78 (million)
% 0.22/0.37 % (546362)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=2991284974:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.37 % (546373)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=9490704:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.37 % (546369)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=597450266:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37 % (546370)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1774620006:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.04/0.42 % (546373)Instruction limit reached!
% 1.04/0.42 % (546373)------------------------------
% 1.04/0.42 % (546373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (546373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (546373)CaDiCaL version: 2.1.3
% 1.04/0.42 % (546373)Termination reason: Instruction limit
% 1.04/0.42 % (546373)Termination phase: Saturation
% 1.04/0.42 % (546373)Time elapsed: 0.003 s
% 1.04/0.42 % (546373)Peak memory usage: 11 MB
% 1.04/0.42 % (546373)Instructions burned: 13 (million)
% 1.04/0.42 % (546372)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.42 % (546369)Instruction limit reached!
% 1.04/0.42 % (546369)------------------------------
% 1.04/0.42 % (546369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (546369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (546369)CaDiCaL version: 2.1.3
% 1.04/0.42 % (546369)Termination reason: Instruction limit
% 1.04/0.42 % (546369)Termination phase: Saturation
% 1.04/0.42 % (546369)Time elapsed: 0.003 s
% 1.04/0.42 % (546369)Peak memory usage: 11 MB
% 1.04/0.42 % (546369)Instructions burned: 7 (million)
% 1.04/0.42 % (546370)Instruction limit reached!
% 1.04/0.42 % (546370)------------------------------
% 1.04/0.42 % (546370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.42 % (546370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.42 % (546370)CaDiCaL version: 2.1.3
% 1.04/0.42 % (546370)Termination reason: Instruction limit
% 1.04/0.42 % (546370)Termination phase: Saturation
% 1.04/0.42 % (546370)Time elapsed: 0.003 s
% 1.04/0.42 % (546370)Peak memory usage: 11 MB
% 1.04/0.42 % (546370)Instructions burned: 7 (million)
% 1.04/0.42 % (546372)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1498059757:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.04/0.42 % (546372)Instruction limit reached!
% 1.04/0.43 % (546372)------------------------------
% 1.04/0.43 % (546372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.43 % (546372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.43 % (546372)CaDiCaL version: 2.1.3
% 1.04/0.43 % (546372)Termination reason: Instruction limit
% 1.04/0.43 % (546372)Termination phase: Saturation
% 1.04/0.43 % (546372)Time elapsed: 0.004 s
% 1.04/0.43 % (546372)Peak memory usage: 11 MB
% 1.04/0.43 % (546372)Instructions burned: 9 (million)
% 1.04/0.43 % (546377)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
% 1.04/0.43 % (546377)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.04/0.43 % (546377)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2857673170:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.04/0.43 % (546377)Instruction limit reached!
% 1.04/0.43 % (546377)------------------------------
% 1.04/0.43 % (546377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.43 % (546377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.43 % (546377)CaDiCaL version: 2.1.3
% 1.04/0.43 % (546377)Termination reason: Instruction limit
% 1.04/0.43 % (546377)Termination phase: Saturation
% 1.04/0.43 % (546377)Time elapsed: 0.008 s
% 1.04/0.43 % (546377)Peak memory usage: 12 MB
% 1.04/0.43 % (546377)Instructions burned: 31 (million)
% 1.04/0.43 % (546378)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=345905413:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.04/0.43 % (546356)Instruction limit reached!
% 1.04/0.43 % (546356)------------------------------
% 1.04/0.43 % (546356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.43 % (546356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (546356)CaDiCaL version: 2.1.3
% 1.04/0.45 % (546356)Termination reason: Instruction limit
% 1.04/0.45 % (546356)Termination phase: Saturation
% 1.04/0.45 % (546356)Time elapsed: 0.048 s
% 1.04/0.45 % (546356)Peak memory usage: 12 MB
% 1.04/0.45 % (546356)Instructions burned: 87 (million)
% 1.04/0.45 % (546379)lrs+10_1_si=on:cs=on:random_seed=74817089:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.04/0.45 % (546381)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.04/0.45 % (546379)Instruction limit reached!
% 1.04/0.45 % (546379)------------------------------
% 1.04/0.45 % (546379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (546379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (546379)CaDiCaL version: 2.1.3
% 1.04/0.45 % (546379)Termination reason: Instruction limit
% 1.04/0.45 % (546379)Termination phase: Saturation
% 1.04/0.45 % (546379)Time elapsed: 0.005 s
% 1.04/0.45 % (546379)Peak memory usage: 11 MB
% 1.04/0.45 % (546379)Instructions burned: 12 (million)
% 1.04/0.45 % (546381)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=3170107910:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.04/0.45 % (546383)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=559946846:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.04/0.45 % (546383)Refutation not found, incomplete strategy
% 1.04/0.45 % (546383)------------------------------
% 1.04/0.45 % (546383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (546383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (546383)CaDiCaL version: 2.1.3
% 1.04/0.45 % (546381)Instruction limit reached!
% 1.04/0.45 % (546381)------------------------------
% 1.04/0.45 % (546381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (546383)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.45 % (546383)Time elapsed: 0.001 s
% 1.04/0.45 % (546383)Peak memory usage: 12 MB
% 1.04/0.45 % (546383)Instructions burned: 5 (million)
% 1.04/0.45 % (546381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (546381)CaDiCaL version: 2.1.3
% 1.04/0.45 % (546381)Termination reason: Instruction limit
% 1.04/0.45 % (546381)Termination phase: Saturation
% 1.04/0.45 % (546381)Time elapsed: 0.003 s
% 1.04/0.45 % (546381)Peak memory usage: 11 MB
% 1.04/0.45 % (546381)Instructions burned: 7 (million)
% 1.04/0.45 % (546383)------------------------------
% 1.04/0.45 % (546383)------------------------------
% 1.04/0.45 % (546391)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4225995987:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 1.04/0.45 % (546385)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1105147400:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.04/0.45 % (546390)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=356428227:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 1.04/0.45 % (546385)Refutation not found, incomplete strategy
% 1.04/0.45 % (546385)------------------------------
% 1.04/0.45 % (546385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (546385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (546385)CaDiCaL version: 2.1.3
% 1.04/0.45 % (546385)Termination reason: Refutation not found, incomplete strategy
% 1.04/0.45 % (546385)Time elapsed: 0.005 s
% 1.04/0.45 % (546385)Peak memory usage: 12 MB
% 1.04/0.45 % (546385)Instructions burned: 6 (million)
% 1.04/0.45 % (546385)------------------------------
% 1.04/0.45 % (546385)------------------------------
% 1.04/0.45 % (546390)Instruction limit reached!
% 1.04/0.45 % (546390)------------------------------
% 1.04/0.45 % (546390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.45 % (546390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.45 % (546390)CaDiCaL version: 2.1.3
% 1.04/0.45 % (546390)Termination reason: Instruction limit
% 1.04/0.45 % (546390)Termination phase: Saturation
% 1.04/0.45 % (546390)Time elapsed: 0.006 s
% 1.04/0.45 % (546390)Peak memory usage: 11 MB
% 1.04/0.45 % (546390)Instructions burned: 14 (million)
% 1.04/0.49 % (546378)Instruction limit reached!
% 1.04/0.49 % (546378)------------------------------
% 1.04/0.49 % (546378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.49 % (546378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.49 % (546378)CaDiCaL version: 2.1.3
% 1.04/0.49 % (546378)Termination reason: Instruction limit
% 1.04/0.49 % (546378)Termination phase: Saturation
% 1.04/0.49 % (546378)Time elapsed: 0.046 s
% 1.04/0.49 % (546378)Peak memory usage: 12 MB
% 1.04/0.49 % (546378)Instructions burned: 86 (million)
% 1.04/0.49 % (546395)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2964821289:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.49 % (546396)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2821774927:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.04/0.49 % (546388)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=43765984:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 1.04/0.49 % (546396)Instruction limit reached!
% 1.04/0.49 % (546396)------------------------------
% 1.04/0.49 % (546396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.49 % (546396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.49 % (546396)CaDiCaL version: 2.1.3
% 1.04/0.49 % (546396)Termination reason: Instruction limit
% 1.04/0.49 % (546396)Termination phase: Function definition elimination
% 1.04/0.49 % (546396)Time elapsed: 0.002 s
% 1.04/0.49 % (546396)Peak memory usage: 10 MB
% 1.04/0.49 % (546396)Instructions burned: 4 (million)
% 1.04/0.49 % (546395)Instruction limit reached!
% 1.04/0.49 % (546395)------------------------------
% 1.04/0.49 % (546395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.49 % (546395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.49 % (546395)CaDiCaL version: 2.1.3
% 1.04/0.49 % (546395)Termination reason: Instruction limit
% 1.04/0.49 % (546395)Termination phase: Saturation
% 1.04/0.49 % (546395)Time elapsed: 0.009 s
% 1.04/0.49 % (546395)Peak memory usage: 12 MB
% 1.04/0.49 % (546395)Instructions burned: 15 (million)
% 1.04/0.49 % (546397)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1438248237:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.04/0.49 % (546388)Instruction limit reached!
% 1.04/0.49 % (546388)------------------------------
% 1.04/0.49 % (546388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.49 % (546388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.49 % (546388)CaDiCaL version: 2.1.3
% 1.04/0.49 % (546388)Termination reason: Instruction limit
% 1.04/0.49 % (546388)Termination phase: Saturation
% 1.04/0.49 % (546388)Time elapsed: 0.015 s
% 1.04/0.49 % (546388)Peak memory usage: 12 MB
% 1.04/0.49 % (546388)Instructions burned: 25 (million)
% 1.04/0.49 % (546397)Instruction limit reached!
% 1.04/0.49 % (546397)------------------------------
% 1.04/0.49 % (546397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.49 % (546397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.49 % (546397)CaDiCaL version: 2.1.3
% 1.04/0.49 % (546397)Termination reason: Instruction limit
% 1.04/0.49 % (546397)Termination phase: Saturation
% 1.04/0.49 % (546397)Time elapsed: 0.013 s
% 1.04/0.49 % (546397)Peak memory usage: 11 MB
% 1.04/0.49 % (546397)Instructions burned: 26 (million)
% 1.04/0.49 % (546401)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1972167148:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.04/0.49 % (546403)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1048734131:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.04/0.49 % (546404)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.04/0.49 % (546404)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.04/0.49 % (546404)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=1652675693:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.04/0.52 % (546401)Instruction limit reached!
% 1.04/0.52 % (546401)------------------------------
% 1.04/0.52 % (546401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (546401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (546401)CaDiCaL version: 2.1.3
% 1.04/0.52 % (546401)Termination reason: Instruction limit
% 1.04/0.52 % (546401)Termination phase: Saturation
% 1.04/0.52 % (546401)Time elapsed: 0.011 s
% 1.04/0.52 % (546401)Peak memory usage: 12 MB
% 1.04/0.52 % (546401)Instructions burned: 24 (million)
% 1.04/0.52 % (546406)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.04/0.52 % (546406)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=2187366643:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.04/0.52 % (546404)Instruction limit reached!
% 1.04/0.52 % (546404)------------------------------
% 1.04/0.52 % (546404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (546404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (546404)CaDiCaL version: 2.1.3
% 1.04/0.52 % (546404)Termination reason: Instruction limit
% 1.04/0.52 % (546404)Termination phase: Saturation
% 1.04/0.52 % (546404)Time elapsed: 0.007 s
% 1.04/0.52 % (546404)Peak memory usage: 12 MB
% 1.04/0.52 % (546404)Instructions burned: 15 (million)
% 1.04/0.52 % (546391)Instruction limit reached!
% 1.04/0.52 % (546391)------------------------------
% 1.04/0.52 % (546391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (546391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (546391)CaDiCaL version: 2.1.3
% 1.04/0.52 % (546391)Termination reason: Instruction limit
% 1.04/0.52 % (546391)Termination phase: Saturation
% 1.04/0.52 % (546391)Time elapsed: 0.078 s
% 1.04/0.52 % (546391)Peak memory usage: 13 MB
% 1.04/0.52 % (546391)Instructions burned: 327 (million)
% 1.04/0.52 % (546362)Instruction limit reached!
% 1.04/0.52 % (546362)------------------------------
% 1.04/0.52 % (546362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (546362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (546362)CaDiCaL version: 2.1.3
% 1.04/0.52 % (546362)Termination reason: Instruction limit
% 1.04/0.52 % (546362)Termination phase: Saturation
% 1.04/0.52 % (546362)Time elapsed: 0.136 s
% 1.04/0.52 % (546362)Peak memory usage: 12 MB
% 1.04/0.52 % (546362)Instructions burned: 157 (million)
% 1.04/0.52 % (546406)Instruction limit reached!
% 1.04/0.52 % (546406)------------------------------
% 1.04/0.52 % (546406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (546406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (546406)CaDiCaL version: 2.1.3
% 1.04/0.52 % (546406)Termination reason: Instruction limit
% 1.04/0.52 % (546406)Termination phase: Saturation
% 1.04/0.52 % (546406)Time elapsed: 0.004 s
% 1.04/0.52 % (546406)Peak memory usage: 11 MB
% 1.04/0.52 % (546406)Instructions burned: 9 (million)
% 1.04/0.52 % (546409)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=2414029255:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.04/0.52 % (546412)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1715872634:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.04/0.52 % (546411)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1924682410:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.04/0.52 % (546412)Instruction limit reached!
% 1.04/0.52 % (546412)------------------------------
% 1.04/0.52 % (546412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.52 % (546412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.52 % (546412)CaDiCaL version: 2.1.3
% 1.04/0.52 % (546412)Termination reason: Instruction limit
% 1.04/0.52 % (546412)Termination phase: Saturation
% 1.04/0.52 % (546412)Time elapsed: 0.006 s
% 1.89/0.57 % (546412)Peak memory usage: 11 MB
% 1.89/0.57 % (546412)Instructions burned: 26 (million)
% 1.89/0.57 % (546413)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1355777458:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.89/0.57 % (546411)Instruction limit reached!
% 1.89/0.57 % (546411)------------------------------
% 1.89/0.57 % (546411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.57 % (546411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.57 % (546411)CaDiCaL version: 2.1.3
% 1.89/0.57 % (546411)Termination reason: Instruction limit
% 1.89/0.57 % (546411)Termination phase: Saturation
% 1.89/0.57 % (546411)Time elapsed: 0.004 s
% 1.89/0.57 % (546411)Peak memory usage: 11 MB
% 1.89/0.57 % (546411)Instructions burned: 8 (million)
% 1.89/0.57 % (546414)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2181924922:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.89/0.57 % (546409)Instruction limit reached!
% 1.89/0.57 % (546409)------------------------------
% 1.89/0.57 % (546409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.57 % (546409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.57 % (546409)CaDiCaL version: 2.1.3
% 1.89/0.57 % (546409)Termination reason: Instruction limit
% 1.89/0.57 % (546409)Termination phase: Saturation
% 1.89/0.57 % (546409)Time elapsed: 0.017 s
% 1.89/0.57 % (546409)Peak memory usage: 12 MB
% 1.89/0.57 % (546409)Instructions burned: 32 (million)
% 1.89/0.57 % (546403)Instruction limit reached!
% 1.89/0.57 % (546403)------------------------------
% 1.89/0.57 % (546403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.57 % (546403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.57 % (546403)CaDiCaL version: 2.1.3
% 1.89/0.57 % (546403)Termination reason: Instruction limit
% 1.89/0.57 % (546403)Termination phase: Saturation
% 1.89/0.57 % (546403)Time elapsed: 0.045 s
% 1.89/0.57 % (546403)Peak memory usage: 12 MB
% 1.89/0.57 % (546403)Instructions burned: 60 (million)
% 1.89/0.57 % (546421)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3211170378:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.89/0.57 % (546413)Instruction limit reached!
% 1.89/0.57 % (546413)------------------------------
% 1.89/0.57 % (546413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.57 % (546413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.57 % (546413)CaDiCaL version: 2.1.3
% 1.89/0.57 % (546413)Termination reason: Instruction limit
% 1.89/0.57 % (546413)Termination phase: Saturation
% 1.89/0.57 % (546413)Time elapsed: 0.023 s
% 1.89/0.57 % (546413)Peak memory usage: 12 MB
% 1.89/0.57 % (546413)Instructions burned: 20 (million)
% 1.89/0.57 % (546421)Refutation not found, incomplete strategy
% 1.89/0.57 % (546421)------------------------------
% 1.89/0.57 % (546421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.57 % (546421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.89/0.57 % (546421)CaDiCaL version: 2.1.3
% 1.89/0.57 % (546421)Termination reason: Refutation not found, incomplete strategy
% 1.89/0.57 % (546421)Time elapsed: 0.005 s
% 1.89/0.57 % (546421)Peak memory usage: 12 MB
% 1.89/0.57 % (546421)Instructions burned: 9 (million)
% 1.89/0.57 % (546422)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=279061450:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.89/0.57 % (546421)------------------------------
% 1.89/0.57 % (546421)------------------------------
% 1.89/0.57 % (546423)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.89/0.57 % (546418)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=801418863:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.89/0.57 % (546423)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3906475514:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.89/0.57 % (546423)Instruction limit reached!
% 1.89/0.57 % (546423)------------------------------
% 1.89/0.57 % (546423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.89/0.57 % (546423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.66 % (546423)CaDiCaL version: 2.1.3
% 2.62/0.66 % (546423)Termination reason: Instruction limit
% 2.62/0.66 % (546423)Termination phase: Saturation
% 2.62/0.66 % (546423)Time elapsed: 0.003 s
% 2.62/0.66 % (546423)Peak memory usage: 11 MB
% 2.62/0.66 % (546423)Instructions burned: 7 (million)
% 2.62/0.66 % (546427)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=439453015:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.62/0.66 % (546426)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2056951541:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.62/0.66 % (546427)Refutation not found, incomplete strategy
% 2.62/0.66 % (546427)------------------------------
% 2.62/0.66 % (546427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.66 % (546427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.66 % (546427)CaDiCaL version: 2.1.3
% 2.62/0.66 % (546427)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.66 % (546427)Time elapsed: 0.005 s
% 2.62/0.66 % (546427)Peak memory usage: 12 MB
% 2.62/0.66 % (546427)Instructions burned: 19 (million)
% 2.62/0.66 % (546427)------------------------------
% 2.62/0.66 % (546427)------------------------------
% 2.62/0.66 % (546422)Instruction limit reached!
% 2.62/0.66 % (546422)------------------------------
% 2.62/0.66 % (546422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.66 % (546422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.66 % (546422)CaDiCaL version: 2.1.3
% 2.62/0.66 % (546422)Termination reason: Instruction limit
% 2.62/0.66 % (546422)Termination phase: Saturation
% 2.62/0.66 % (546422)Time elapsed: 0.020 s
% 2.62/0.66 % (546422)Peak memory usage: 12 MB
% 2.62/0.66 % (546422)Instructions burned: 42 (million)
% 2.62/0.66 % (546426)Refutation not found, incomplete strategy
% 2.62/0.66 % (546426)------------------------------
% 2.62/0.66 % (546426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.66 % (546426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.66 % (546426)CaDiCaL version: 2.1.3
% 2.62/0.66 % (546426)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.66 % (546426)Time elapsed: 0.004 s
% 2.62/0.66 % (546426)Peak memory usage: 12 MB
% 2.62/0.66 % (546426)Instructions burned: 7 (million)
% 2.62/0.66 % (546426)------------------------------
% 2.62/0.66 % (546426)------------------------------
% 2.62/0.66 % (546430)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.62/0.66 % (546430)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1593015663:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.62/0.66 % (546433)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3372672893:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.62/0.66 % (546430)Instruction limit reached!
% 2.62/0.66 % (546430)------------------------------
% 2.62/0.66 % (546430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.66 % (546430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.66 % (546430)CaDiCaL version: 2.1.3
% 2.62/0.66 % (546430)Termination reason: Instruction limit
% 2.62/0.66 % (546430)Termination phase: Property scanning
% 2.62/0.66 % (546430)Time elapsed: 0.004 s
% 2.62/0.66 % (546430)Peak memory usage: 10 MB
% 2.62/0.66 % (546430)Instructions burned: 7 (million)
% 2.62/0.66 % (546433)Instruction limit reached!
% 2.62/0.66 % (546433)------------------------------
% 2.62/0.66 % (546433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.66 % (546433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.66 % (546433)CaDiCaL version: 2.1.3
% 2.62/0.66 % (546433)Termination reason: Instruction limit
% 2.62/0.66 % (546433)Termination phase: Saturation
% 2.62/0.66 % (546433)Time elapsed: 0.006 s
% 2.62/0.66 % (546433)Peak memory usage: 12 MB
% 2.62/0.66 % (546433)Instructions burned: 23 (million)
% 2.62/0.66 % (546434)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1609777440:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.62/0.70 % (546435)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=485309699:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.62/0.70 % (546439)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=965809958:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.62/0.70 % (546434)Refutation not found, incomplete strategy
% 2.62/0.70 % (546434)------------------------------
% 2.62/0.70 % (546434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.70 % (546434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.70 % (546434)CaDiCaL version: 2.1.3
% 2.62/0.70 % (546434)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.70 % (546434)Time elapsed: 0.010 s
% 2.62/0.70 % (546434)Peak memory usage: 12 MB
% 2.62/0.70 % (546434)Instructions burned: 19 (million)
% 2.62/0.70 % (546434)------------------------------
% 2.62/0.70 % (546434)------------------------------
% 2.62/0.70 % (546438)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=1163643665:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.62/0.70 % (546439)Instruction limit reached!
% 2.62/0.70 % (546439)------------------------------
% 2.62/0.70 % (546439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.70 % (546439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.70 % (546439)CaDiCaL version: 2.1.3
% 2.62/0.70 % (546439)Termination reason: Instruction limit
% 2.62/0.70 % (546439)Termination phase: Saturation
% 2.62/0.70 % (546439)Time elapsed: 0.014 s
% 2.62/0.70 % (546439)Peak memory usage: 13 MB
% 2.62/0.70 % (546439)Instructions burned: 49 (million)
% 2.62/0.70 % (546443)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=481652237:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.62/0.70 % (546445)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2959140233:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.62/0.70 % (546443)Refutation not found, incomplete strategy
% 2.62/0.70 % (546443)------------------------------
% 2.62/0.70 % (546443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.70 % (546443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.70 % (546443)CaDiCaL version: 2.1.3
% 2.62/0.70 % (546443)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.70 % (546443)Time elapsed: 0.004 s
% 2.62/0.70 % (546443)Peak memory usage: 12 MB
% 2.62/0.70 % (546443)Instructions burned: 7 (million)
% 2.62/0.70 % (546443)------------------------------
% 2.62/0.70 % (546443)------------------------------
% 2.62/0.70 % (546418)Instruction limit reached!
% 2.62/0.70 % (546418)------------------------------
% 2.62/0.70 % (546418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.70 % (546418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.70 % (546418)CaDiCaL version: 2.1.3
% 2.62/0.70 % (546418)Termination reason: Instruction limit
% 2.62/0.70 % (546418)Termination phase: Saturation
% 2.62/0.70 % (546418)Time elapsed: 0.073 s
% 2.62/0.70 % (546418)Peak memory usage: 12 MB
% 2.62/0.70 % (546418)Instructions burned: 150 (million)
% 2.62/0.70 % (546445)Instruction limit reached!
% 2.62/0.70 % (546445)------------------------------
% 2.62/0.70 % (546445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.70 % (546445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.70 % (546445)CaDiCaL version: 2.1.3
% 2.62/0.70 % (546445)Termination reason: Instruction limit
% 2.62/0.70 % (546445)Termination phase: Saturation
% 2.62/0.70 % (546445)Time elapsed: 0.008 s
% 2.62/0.70 % (546445)Peak memory usage: 12 MB
% 2.62/0.70 % (546445)Instructions burned: 22 (million)
% 2.62/0.70 % (546450)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=3996768327:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.10/0.76 % (546448)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.10/0.76 % (546448)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2638659879:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.10/0.76 % (546449)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=209849932:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.10/0.76 % (546449)Instruction limit reached!
% 3.10/0.76 % (546449)------------------------------
% 3.10/0.76 % (546449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.76 % (546449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.76 % (546449)CaDiCaL version: 2.1.3
% 3.10/0.76 % (546449)Termination reason: Instruction limit
% 3.10/0.76 % (546449)Termination phase: Saturation
% 3.10/0.76 % (546449)Time elapsed: 0.007 s
% 3.10/0.76 % (546449)Peak memory usage: 12 MB
% 3.10/0.76 % (546449)Instructions burned: 13 (million)
% 3.10/0.76 % (546450)Instruction limit reached!
% 3.10/0.76 % (546450)------------------------------
% 3.10/0.76 % (546450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.76 % (546450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.76 % (546450)CaDiCaL version: 2.1.3
% 3.10/0.76 % (546450)Termination reason: Instruction limit
% 3.10/0.76 % (546450)Termination phase: Saturation
% 3.10/0.76 % (546450)Time elapsed: 0.018 s
% 3.10/0.76 % (546450)Peak memory usage: 13 MB
% 3.10/0.76 % (546450)Instructions burned: 74 (million)
% 3.10/0.76 % (546455)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2792603040:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.10/0.76 % (546454)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2488049703:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.10/0.76 % (546455)Instruction limit reached!
% 3.10/0.76 % (546455)------------------------------
% 3.10/0.76 % (546455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.76 % (546455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.76 % (546455)CaDiCaL version: 2.1.3
% 3.10/0.76 % (546455)Termination reason: Instruction limit
% 3.10/0.76 % (546455)Termination phase: Saturation
% 3.10/0.76 % (546455)Time elapsed: 0.008 s
% 3.10/0.76 % (546455)Peak memory usage: 12 MB
% 3.10/0.76 % (546455)Instructions burned: 34 (million)
% 3.10/0.76 % (546458)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=949697371:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.10/0.76 % (546454)Instruction limit reached!
% 3.10/0.76 % (546454)------------------------------
% 3.10/0.76 % (546454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.76 % (546454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.76 % (546454)CaDiCaL version: 2.1.3
% 3.10/0.76 % (546454)Termination reason: Instruction limit
% 3.10/0.76 % (546454)Termination phase: Saturation
% 3.10/0.76 % (546454)Time elapsed: 0.026 s
% 3.10/0.76 % (546454)Peak memory usage: 12 MB
% 3.10/0.76 % (546454)Instructions burned: 51 (million)
% 3.10/0.76 % (546359)Instruction limit reached!
% 3.10/0.76 % (546359)------------------------------
% 3.10/0.76 % (546359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.10/0.76 % (546359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/0.76 % (546359)CaDiCaL version: 2.1.3
% 3.10/0.76 % (546359)Termination reason: Instruction limit
% 3.10/0.76 % (546359)Termination phase: Saturation
% 3.10/0.76 % (546359)Time elapsed: 0.350 s
% 3.10/0.76 % (546359)Peak memory usage: 16 MB
% 3.10/0.76 % (546359)Instructions burned: 635 (million)
% 3.10/0.76 % (546460)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=1576825087:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.10/0.76 % (546461)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2459689551:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.10/0.76 % (546458)Instruction limit reached!
% 3.10/0.76 % (546458)------------------------------
% 3.84/1.00 % (546458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.84/1.00 % (546458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.00 % (546458)CaDiCaL version: 2.1.3
% 3.84/1.00 % (546458)Termination reason: Instruction limit
% 3.84/1.00 % (546458)Termination phase: Saturation
% 3.84/1.00 % (546458)Time elapsed: 0.039 s
% 3.84/1.00 % (546458)Peak memory usage: 12 MB
% 3.84/1.00 % (546458)Instructions burned: 139 (million)
% 3.84/1.00 % (546448)Instruction limit reached!
% 3.84/1.00 % (546448)------------------------------
% 3.84/1.00 % (546448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.84/1.00 % (546448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.00 % (546448)CaDiCaL version: 2.1.3
% 3.84/1.00 % (546448)Termination reason: Instruction limit
% 3.84/1.00 % (546448)Termination phase: Saturation
% 3.84/1.00 % (546448)Time elapsed: 0.088 s
% 3.84/1.00 % (546448)Peak memory usage: 12 MB
% 3.84/1.00 % (546448)Instructions burned: 207 (million)
% 3.84/1.00 % (546461)Refutation not found, incomplete strategy
% 3.84/1.00 % (546461)------------------------------
% 3.84/1.00 % (546461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.84/1.00 % (546461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.00 % (546461)CaDiCaL version: 2.1.3
% 3.84/1.00 % (546461)Termination reason: Refutation not found, incomplete strategy
% 3.84/1.00 % (546461)Time elapsed: 0.011 s
% 3.84/1.00 % (546461)Peak memory usage: 12 MB
% 3.84/1.00 % (546461)Instructions burned: 23 (million)
% 3.84/1.00 % (546461)------------------------------
% 3.84/1.00 % (546461)------------------------------
% 3.84/1.00 % (546460)Instruction limit reached!
% 3.84/1.00 % (546460)------------------------------
% 3.84/1.00 % (546460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.84/1.00 % (546460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.00 % (546460)CaDiCaL version: 2.1.3
% 3.84/1.00 % (546460)Termination reason: Instruction limit
% 3.84/1.00 % (546460)Termination phase: Saturation
% 3.84/1.00 % (546460)Time elapsed: 0.018 s
% 3.84/1.00 % (546460)Peak memory usage: 13 MB
% 3.84/1.00 % (546460)Instructions burned: 34 (million)
% 3.84/1.00 % (546464)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.84/1.00 % (546466)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1100572754:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.84/1.00 % (546464)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2245808768:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.84/1.00 % (546465)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4084112401:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.84/1.00 % (546465)Refutation not found, incomplete strategy
% 3.84/1.00 % (546465)------------------------------
% 3.84/1.00 % (546465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.84/1.00 % (546465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.00 % (546465)CaDiCaL version: 2.1.3
% 3.84/1.00 % (546465)Termination reason: Refutation not found, incomplete strategy
% 3.84/1.00 % (546465)Time elapsed: 0.005 s
% 3.84/1.00 % (546465)Peak memory usage: 12 MB
% 3.84/1.00 % (546465)Instructions burned: 9 (million)
% 3.84/1.00 % (546465)------------------------------
% 3.84/1.00 % (546465)------------------------------
% 3.84/1.00 % (546467)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1168903608:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.84/1.00 % (546467)Refutation not found, incomplete strategy
% 3.84/1.00 % (546467)------------------------------
% 3.84/1.00 % (546467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.84/1.00 % (546467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.00 % (546467)CaDiCaL version: 2.1.3
% 3.84/1.00 % (546467)Termination reason: Refutation not found, incomplete strategy
% 3.84/1.00 % (546467)Time elapsed: 0.003 s
% 3.84/1.00 % (546467)Peak memory usage: 12 MB
% 3.84/1.00 % (546467)Instructions burned: 5 (million)
% 3.84/1.00 % (546467)------------------------------
% 3.84/1.00 % (546467)------------------------------
% 3.84/1.00 % (546435)Instruction limit reached!
% 3.84/1.00 % (546435)------------------------------
% 3.84/1.00 % (546435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.12 % (546435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.12 % (546435)CaDiCaL version: 2.1.3
% 5.62/1.12 % (546435)Termination reason: Instruction limit
% 5.62/1.12 % (546435)Termination phase: Saturation
% 5.62/1.12 % (546435)Time elapsed: 0.174 s
% 5.62/1.12 % (546435)Peak memory usage: 14 MB
% 5.62/1.12 % (546435)Instructions burned: 316 (million)
% 5.62/1.12 % (546466)Instruction limit reached!
% 5.62/1.12 % (546466)------------------------------
% 5.62/1.12 % (546466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.12 % (546466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.12 % (546466)CaDiCaL version: 2.1.3
% 5.62/1.12 % (546466)Termination reason: Instruction limit
% 5.62/1.12 % (546466)Termination phase: Saturation
% 5.62/1.12 % (546466)Time elapsed: 0.024 s
% 5.62/1.12 % (546466)Peak memory usage: 12 MB
% 5.62/1.12 % (546466)Instructions burned: 99 (million)
% 5.62/1.12 % (546471)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2208144740:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 5.62/1.12 % (546475)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4136634233:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 5.62/1.12 % (546473)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=585409607:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 5.62/1.12 % (546474)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2943672536:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 5.62/1.12 % (546475)Instruction limit reached!
% 5.62/1.12 % (546475)------------------------------
% 5.62/1.12 % (546475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.12 % (546475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.12 % (546475)CaDiCaL version: 2.1.3
% 5.62/1.12 % (546475)Termination reason: Instruction limit
% 5.62/1.12 % (546475)Termination phase: Saturation
% 5.62/1.12 % (546475)Time elapsed: 0.011 s
% 5.62/1.12 % (546475)Peak memory usage: 12 MB
% 5.62/1.12 % (546475)Instructions burned: 45 (million)
% 5.62/1.12 % (546474)Refutation not found, incomplete strategy
% 5.62/1.12 % (546474)------------------------------
% 5.62/1.12 % (546474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.12 % (546474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.12 % (546474)CaDiCaL version: 2.1.3
% 5.62/1.12 % (546474)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.12 % (546474)Time elapsed: 0.009 s
% 5.62/1.12 % (546474)Peak memory usage: 12 MB
% 5.62/1.12 % (546474)Instructions burned: 17 (million)
% 5.62/1.12 % (546474)------------------------------
% 5.62/1.12 % (546474)------------------------------
% 5.62/1.12 % (546480)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1535476144:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 5.62/1.12 % (546480)Refutation not found, incomplete strategy
% 5.62/1.12 % (546480)------------------------------
% 5.62/1.12 % (546480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.12 % (546480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.12 % (546480)CaDiCaL version: 2.1.3
% 5.62/1.12 % (546480)Termination reason: Refutation not found, incomplete strategy
% 5.62/1.12 % (546480)Time elapsed: 0.002 s
% 5.62/1.12 % (546480)Peak memory usage: 12 MB
% 5.62/1.12 % (546480)Instructions burned: 7 (million)
% 5.62/1.12 % (546480)------------------------------
% 5.62/1.12 % (546480)------------------------------
% 5.62/1.12 % (546481)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3211859819:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 5.62/1.12 % (546483)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=789768422:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 5.62/1.12 % (546464)Instruction limit reached!
% 5.62/1.12 % (546464)------------------------------
% 5.62/1.12 % (546464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.12 % (546464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.22 % (546464)CaDiCaL version: 2.1.3
% 6.32/1.22 % (546464)Termination reason: Instruction limit
% 6.32/1.22 % (546464)Termination phase: Saturation
% 6.32/1.22 % (546464)Time elapsed: 0.084 s
% 6.32/1.22 % (546464)Peak memory usage: 13 MB
% 6.32/1.22 % (546464)Instructions burned: 181 (million)
% 6.32/1.22 % (546483)Instruction limit reached!
% 6.32/1.22 % (546483)------------------------------
% 6.32/1.22 % (546483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.22 % (546483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.22 % (546483)CaDiCaL version: 2.1.3
% 6.32/1.22 % (546483)Termination reason: Instruction limit
% 6.32/1.22 % (546483)Termination phase: Saturation
% 6.32/1.22 % (546483)Time elapsed: 0.021 s
% 6.32/1.22 % (546483)Peak memory usage: 12 MB
% 6.32/1.22 % (546483)Instructions burned: 98 (million)
% 6.32/1.22 % (546487)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=1936433194: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_2994 on theBenchmark for (2994ds/105Mi)
% 6.32/1.22 % (546486)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=3451017462:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 6.32/1.22 % (546487)Instruction limit reached!
% 6.32/1.22 % (546487)------------------------------
% 6.32/1.22 % (546487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.22 % (546487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.22 % (546487)CaDiCaL version: 2.1.3
% 6.32/1.22 % (546487)Termination reason: Instruction limit
% 6.32/1.22 % (546487)Termination phase: Saturation
% 6.32/1.22 % (546487)Time elapsed: 0.029 s
% 6.32/1.22 % (546487)Peak memory usage: 12 MB
% 6.32/1.22 % (546487)Instructions burned: 106 (million)
% 6.32/1.22 % (546486)Instruction limit reached!
% 6.32/1.22 % (546486)------------------------------
% 6.32/1.22 % (546486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.22 % (546486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.22 % (546486)CaDiCaL version: 2.1.3
% 6.32/1.22 % (546486)Termination reason: Instruction limit
% 6.32/1.22 % (546486)Termination phase: Saturation
% 6.32/1.22 % (546486)Time elapsed: 0.033 s
% 6.32/1.22 % (546486)Peak memory usage: 13 MB
% 6.32/1.22 % (546486)Instructions burned: 65 (million)
% 6.32/1.22 % (546490)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=165348782:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 6.32/1.22 % (546491)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3574783504:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 6.32/1.22 % (546481)Instruction limit reached!
% 6.32/1.22 % (546481)------------------------------
% 6.32/1.22 % (546481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.22 % (546481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.22 % (546481)CaDiCaL version: 2.1.3
% 6.32/1.22 % (546481)Termination reason: Instruction limit
% 6.32/1.22 % (546481)Termination phase: Saturation
% 6.32/1.22 % (546481)Time elapsed: 0.210 s
% 6.32/1.22 % (546481)Peak memory usage: 13 MB
% 6.32/1.22 % (546481)Instructions burned: 450 (million)
% 6.32/1.22 % (546494)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3176315871:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/495Mi)
% 6.32/1.22 % (546473)Instruction limit reached!
% 6.32/1.22 % (546473)------------------------------
% 6.32/1.22 % (546473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.22 % (546473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.22 % (546473)CaDiCaL version: 2.1.3
% 6.32/1.22 % (546473)Termination reason: Instruction limit
% 6.32/1.22 % (546473)Termination phase: Saturation
% 6.32/1.22 % (546473)Time elapsed: 0.264 s
% 6.32/1.22 % (546473)Peak memory usage: 13 MB
% 6.32/1.22 % (546473)Instructions burned: 515 (million)
% 6.32/1.22 % (546496)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=447447006:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 6.62/1.38 % (546491)Instruction limit reached!
% 6.62/1.38 % (546491)------------------------------
% 6.62/1.38 % (546491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.38 % (546491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.38 % (546491)CaDiCaL version: 2.1.3
% 6.62/1.38 % (546491)Termination reason: Instruction limit
% 6.62/1.38 % (546491)Termination phase: Saturation
% 6.62/1.38 % (546491)Time elapsed: 0.177 s
% 6.62/1.38 % (546491)Peak memory usage: 13 MB
% 6.62/1.38 % (546491)Instructions burned: 376 (million)
% 6.62/1.38 % (546438)Instruction limit reached!
% 6.62/1.38 % (546438)------------------------------
% 6.62/1.38 % (546438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.38 % (546438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.38 % (546438)CaDiCaL version: 2.1.3
% 6.62/1.38 % (546438)Termination reason: Instruction limit
% 6.62/1.38 % (546438)Termination phase: Saturation
% 6.62/1.38 % (546438)Time elapsed: 0.494 s
% 6.62/1.38 % (546438)Peak memory usage: 15 MB
% 6.62/1.38 % (546438)Instructions burned: 853 (million)
% 6.62/1.38 % (546496)Instruction limit reached!
% 6.62/1.38 % (546496)------------------------------
% 6.62/1.38 % (546496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.38 % (546496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.38 % (546496)CaDiCaL version: 2.1.3
% 6.62/1.38 % (546496)Termination reason: Instruction limit
% 6.62/1.38 % (546496)Termination phase: Saturation
% 6.62/1.38 % (546496)Time elapsed: 0.032 s
% 6.62/1.38 % (546496)Peak memory usage: 12 MB
% 6.62/1.38 % (546496)Instructions burned: 34 (million)
% 6.62/1.38 % (546498)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1280279930:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.62/1.38 % (546499)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4176394041:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.62/1.38 % (546499)Refutation not found, incomplete strategy
% 6.62/1.38 % (546499)------------------------------
% 6.62/1.38 % (546499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.38 % (546499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.38 % (546499)CaDiCaL version: 2.1.3
% 6.62/1.38 % (546499)Termination reason: Refutation not found, incomplete strategy
% 6.62/1.38 % (546499)Time elapsed: 0.003 s
% 6.62/1.38 % (546499)Peak memory usage: 12 MB
% 6.62/1.38 % (546499)Instructions burned: 5 (million)
% 6.62/1.38 % (546499)------------------------------
% 6.62/1.38 % (546499)------------------------------
% 6.62/1.38 % (546500)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2800179954:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.62/1.38 % (546503)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=3283328319:i=338:bd=all:ins=4:rtra=on_2991 on theBenchmark for (2991ds/338Mi)
% 6.62/1.38 % (546498)Instruction limit reached!
% 6.62/1.38 % (546498)------------------------------
% 6.62/1.38 % (546498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.38 % (546498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.38 % (546498)CaDiCaL version: 2.1.3
% 6.62/1.38 % (546498)Termination reason: Instruction limit
% 6.62/1.38 % (546498)Termination phase: Saturation
% 6.62/1.38 % (546498)Time elapsed: 0.045 s
% 6.62/1.38 % (546498)Peak memory usage: 12 MB
% 6.62/1.38 % (546498)Instructions burned: 92 (million)
% 6.62/1.38 % (546500)Instruction limit reached!
% 6.62/1.38 % (546500)------------------------------
% 6.62/1.38 % (546500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.62/1.38 % (546500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.38 % (546500)CaDiCaL version: 2.1.3
% 6.62/1.38 % (546500)Termination reason: Instruction limit
% 6.62/1.38 % (546500)Termination phase: Saturation
% 6.62/1.38 % (546500)Time elapsed: 0.019 s
% 6.62/1.38 % (546500)Peak memory usage: 12 MB
% 6.62/1.38 % (546500)Instructions burned: 22 (million)
% 6.62/1.38 % (546507)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 7.46/1.43 % (546507)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1802183085:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 7.46/1.43 % (546506)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2853208309:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/28Mi)
% 7.46/1.43 % (546471)Instruction limit reached!
% 7.46/1.43 % (546471)------------------------------
% 7.46/1.43 % (546471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.43 % (546471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.43 % (546471)CaDiCaL version: 2.1.3
% 7.46/1.43 % (546471)Termination reason: Instruction limit
% 7.46/1.43 % (546471)Termination phase: Saturation
% 7.46/1.43 % (546471)Time elapsed: 0.436 s
% 7.46/1.43 % (546471)Peak memory usage: 14 MB
% 7.46/1.43 % (546471)Instructions burned: 876 (million)
% 7.46/1.43 % (546506)Instruction limit reached!
% 7.46/1.43 % (546506)------------------------------
% 7.46/1.43 % (546506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.43 % (546506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.43 % (546506)CaDiCaL version: 2.1.3
% 7.46/1.43 % (546506)Termination reason: Instruction limit
% 7.46/1.43 % (546506)Termination phase: Saturation
% 7.46/1.43 % (546506)Time elapsed: 0.030 s
% 7.46/1.43 % (546506)Peak memory usage: 12 MB
% 7.46/1.43 % (546506)Instructions burned: 28 (million)
% 7.46/1.43 % (546510)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=1005355402:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 7.46/1.43 % (546511)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3412604401:i=227:sd=1:bd=all:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/227Mi)
% 7.46/1.43 % (546494)Instruction limit reached!
% 7.46/1.43 % (546494)------------------------------
% 7.46/1.43 % (546494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.43 % (546494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.43 % (546494)CaDiCaL version: 2.1.3
% 7.46/1.43 % (546494)Termination reason: Instruction limit
% 7.46/1.43 % (546494)Termination phase: Saturation
% 7.46/1.43 % (546494)Time elapsed: 0.224 s
% 7.46/1.43 % (546494)Peak memory usage: 13 MB
% 7.46/1.43 % (546494)Instructions burned: 496 (million)
% 7.46/1.43 % (546507)Instruction limit reached!
% 7.46/1.43 % (546507)------------------------------
% 7.46/1.43 % (546507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.43 % (546507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.43 % (546507)CaDiCaL version: 2.1.3
% 7.46/1.43 % (546507)Termination reason: Instruction limit
% 7.46/1.43 % (546507)Termination phase: Saturation
% 7.46/1.43 % (546507)Time elapsed: 0.081 s
% 7.46/1.43 % (546507)Peak memory usage: 12 MB
% 7.46/1.43 % (546507)Instructions burned: 137 (million)
% 7.46/1.43 % (546414)Instruction limit reached!
% 7.46/1.43 % (546414)------------------------------
% 7.46/1.43 % (546414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.43 % (546414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.43 % (546414)CaDiCaL version: 2.1.3
% 7.46/1.43 % (546414)Termination reason: Instruction limit
% 7.46/1.43 % (546414)Termination phase: Saturation
% 7.46/1.43 % (546414)Time elapsed: 0.751 s
% 7.46/1.43 % (546414)Peak memory usage: 15 MB
% 7.46/1.43 % (546414)Instructions burned: 1240 (million)
% 7.46/1.43 % (546511)Refutation not found, incomplete strategy
% 7.46/1.43 % (546511)------------------------------
% 7.46/1.43 % (546511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/1.43 % (546511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/1.43 % (546511)CaDiCaL version: 2.1.3
% 7.46/1.43 % (546511)Termination reason: Refutation not found, incomplete strategy
% 7.46/1.43 % (546511)Time elapsed: 0.009 s
% 7.46/1.43 % (546511)Peak memory usage: 12 MB
% 7.46/1.43 % (546511)Instructions burned: 6 (million)
% 7.46/1.43 % (546511)------------------------------
% 7.46/1.43 % (546511)------------------------------
% 7.46/1.43 % (546515)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 8.23/1.52 % (546515)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2503799756:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/373Mi)
% 8.23/1.52 % (546517)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3998347972:i=116:ep=RSTC:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/116Mi)
% 8.23/1.52 % (546518)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1491651985:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 8.23/1.52 % (546519)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=991350124:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 8.23/1.52 % (546517)Instruction limit reached!
% 8.23/1.52 % (546517)------------------------------
% 8.23/1.52 % (546517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.52 % (546517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.52 % (546517)CaDiCaL version: 2.1.3
% 8.23/1.52 % (546517)Termination reason: Instruction limit
% 8.23/1.52 % (546517)Termination phase: Saturation
% 8.23/1.52 % (546517)Time elapsed: 0.054 s
% 8.23/1.52 % (546517)Peak memory usage: 12 MB
% 8.23/1.52 % (546517)Instructions burned: 118 (million)
% 8.23/1.52 % (546524)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=3527745059: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_2989 on theBenchmark for (2989ds/9840Mi)
% 8.23/1.52 % (546503)Instruction limit reached!
% 8.23/1.52 % (546503)------------------------------
% 8.23/1.52 % (546503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.52 % (546503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.52 % (546503)CaDiCaL version: 2.1.3
% 8.23/1.52 % (546503)Termination reason: Instruction limit
% 8.23/1.52 % (546503)Termination phase: Saturation
% 8.23/1.52 % (546503)Time elapsed: 0.262 s
% 8.23/1.52 % (546503)Peak memory usage: 14 MB
% 8.23/1.52 % (546503)Instructions burned: 339 (million)
% 8.23/1.52 % (546526)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1301678041:i=421:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/421Mi)
% 8.23/1.52 % (546526)Refutation not found, incomplete strategy
% 8.23/1.52 % (546526)------------------------------
% 8.23/1.52 % (546526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.52 % (546526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.52 % (546526)CaDiCaL version: 2.1.3
% 8.23/1.52 % (546526)Termination reason: Refutation not found, incomplete strategy
% 8.23/1.52 % (546526)Time elapsed: 0.003 s
% 8.23/1.52 % (546526)Peak memory usage: 12 MB
% 8.23/1.52 % (546526)Instructions burned: 5 (million)
% 8.23/1.52 % (546519)Instruction limit reached!
% 8.23/1.52 % (546519)------------------------------
% 8.23/1.52 % (546519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.52 % (546519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.52 % (546519)CaDiCaL version: 2.1.3
% 8.23/1.52 % (546519)Termination reason: Instruction limit
% 8.23/1.52 % (546519)Termination phase: Saturation
% 8.23/1.52 % (546519)Time elapsed: 0.125 s
% 8.23/1.52 % (546519)Peak memory usage: 13 MB
% 8.23/1.52 % (546519)Instructions burned: 271 (million)
% 8.23/1.52 % (546526)------------------------------
% 8.23/1.52 % (546526)------------------------------
% 8.23/1.52 % (546528)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
% 8.23/1.52 % (546510)Instruction limit reached!
% 8.23/1.52 % (546510)------------------------------
% 8.23/1.52 % (546510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.23/1.52 % (546510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.23/1.52 % (546510)CaDiCaL version: 2.1.3
% 8.23/1.52 % (546510)Termination reason: Instruction limit
% 8.23/1.52 % (546510)Termination phase: Saturation
% 8.23/1.52 % (546510)Time elapsed: 0.205 s
% 8.23/1.52 % (546510)Peak memory usage: 13 MB
% 8.23/1.52 % (546510)Instructions burned: 340 (million)
% 8.23/1.52 % (546528)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=4117354349:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/270Mi)
% 8.99/1.71 % (546529)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=951533671:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/31Mi)
% 8.99/1.71 % (546528)Refutation not found, incomplete strategy
% 8.99/1.71 % (546528)------------------------------
% 8.99/1.71 % (546528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (546528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (546528)CaDiCaL version: 2.1.3
% 8.99/1.71 % (546528)Termination reason: Refutation not found, incomplete strategy
% 8.99/1.71 % (546528)Time elapsed: 0.012 s
% 8.99/1.71 % (546528)Peak memory usage: 12 MB
% 8.99/1.71 % (546528)Instructions burned: 14 (million)
% 8.99/1.71 % (546528)------------------------------
% 8.99/1.71 % (546528)------------------------------
% 8.99/1.71 % (546529)Instruction limit reached!
% 8.99/1.71 % (546529)------------------------------
% 8.99/1.71 % (546529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (546529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (546529)CaDiCaL version: 2.1.3
% 8.99/1.71 % (546529)Termination reason: Instruction limit
% 8.99/1.71 % (546529)Termination phase: Saturation
% 8.99/1.71 % (546529)Time elapsed: 0.015 s
% 8.99/1.71 % (546529)Peak memory usage: 12 MB
% 8.99/1.71 % (546529)Instructions burned: 32 (million)
% 8.99/1.71 % (546515)Instruction limit reached!
% 8.99/1.71 % (546515)------------------------------
% 8.99/1.71 % (546515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (546515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (546515)CaDiCaL version: 2.1.3
% 8.99/1.71 % (546515)Termination reason: Instruction limit
% 8.99/1.71 % (546515)Termination phase: Saturation
% 8.99/1.71 % (546515)Time elapsed: 0.178 s
% 8.99/1.71 % (546515)Peak memory usage: 12 MB
% 8.99/1.71 % (546515)Instructions burned: 374 (million)
% 8.99/1.71 % (546532)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.99/1.71 % (546532)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 8.99/1.71 % (546534)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2839280933:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.99/1.71 % (546532)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=763280867:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2988 on theBenchmark for (2988ds/1440Mi)
% 8.99/1.71 % (546535)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=1699049575:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.99/1.71 % (546533)dis+10_2_sil=128000:si=on:random_seed=1117854263:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 8.99/1.71 % (546533)Refutation not found, incomplete strategy
% 8.99/1.71 % (546533)------------------------------
% 8.99/1.71 % (546533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (546533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (546533)CaDiCaL version: 2.1.3
% 8.99/1.71 % (546533)Termination reason: Refutation not found, incomplete strategy
% 8.99/1.71 % (546533)Time elapsed: 0.007 s
% 8.99/1.71 % (546533)Peak memory usage: 12 MB
% 8.99/1.71 % (546533)Instructions burned: 13 (million)
% 8.99/1.71 % (546533)------------------------------
% 8.99/1.71 % (546533)------------------------------
% 8.99/1.71 % (546535)Refutation not found, incomplete strategy
% 8.99/1.71 % (546535)------------------------------
% 8.99/1.71 % (546535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.99/1.71 % (546535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.71 % (546535)CaDiCaL version: 2.1.3
% 8.99/1.71 % (546535)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.86 % (546535)Time elapsed: 0.010 s
% 9.26/1.86 % (546535)Peak memory usage: 12 MB
% 9.26/1.86 % (546535)Instructions burned: 20 (million)
% 9.26/1.86 % (546535)------------------------------
% 9.26/1.86 % (546535)------------------------------
% 9.26/1.86 % (546540)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=1583540905:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 9.26/1.86 % (546541)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1110330896:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 9.26/1.86 % (546540)Refutation not found, incomplete strategy
% 9.26/1.86 % (546540)------------------------------
% 9.26/1.86 % (546540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.86 % (546540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.86 % (546540)CaDiCaL version: 2.1.3
% 9.26/1.86 % (546540)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.86 % (546540)Time elapsed: 0.011 s
% 9.26/1.86 % (546540)Peak memory usage: 12 MB
% 9.26/1.86 % (546540)Instructions burned: 22 (million)
% 9.26/1.86 % (546540)------------------------------
% 9.26/1.86 % (546540)------------------------------
% 9.26/1.86 % (546534)Instruction limit reached!
% 9.26/1.86 % (546534)------------------------------
% 9.26/1.86 % (546534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.86 % (546534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.86 % (546534)CaDiCaL version: 2.1.3
% 9.26/1.86 % (546534)Termination reason: Instruction limit
% 9.26/1.86 % (546534)Termination phase: Saturation
% 9.26/1.86 % (546534)Time elapsed: 0.059 s
% 9.26/1.86 % (546534)Peak memory usage: 12 MB
% 9.26/1.86 % (546534)Instructions burned: 112 (million)
% 9.26/1.86 % (546544)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=2912279590:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2987 on theBenchmark for (2987ds/1254Mi)
% 9.26/1.86 % (546518)Instruction limit reached!
% 9.26/1.86 % (546518)------------------------------
% 9.26/1.86 % (546518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.86 % (546518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.86 % (546518)CaDiCaL version: 2.1.3
% 9.26/1.86 % (546518)Termination reason: Instruction limit
% 9.26/1.86 % (546518)Termination phase: Saturation
% 9.26/1.86 % (546518)Time elapsed: 0.258 s
% 9.26/1.86 % (546518)Peak memory usage: 13 MB
% 9.26/1.86 % (546518)Instructions burned: 575 (million)
% 9.26/1.86 % (546545)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.26/1.86 % (546545)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=2469115927:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2987 on theBenchmark for (2987ds/281Mi)
% 9.26/1.86 % (546544)Refutation not found, incomplete strategy
% 9.26/1.86 % (546544)------------------------------
% 9.26/1.86 % (546544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.86 % (546544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.86 % (546544)CaDiCaL version: 2.1.3
% 9.26/1.86 % (546544)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.86 % (546544)Time elapsed: 0.016 s
% 9.26/1.86 % (546544)Peak memory usage: 12 MB
% 9.26/1.86 % (546544)Instructions burned: 29 (million)
% 9.26/1.86 % (546544)------------------------------
% 9.26/1.86 % (546544)------------------------------
% 9.26/1.86 % (546547)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3366431668:i=619:add=on:rtra=on_2987 on theBenchmark for (2987ds/619Mi)
% 9.26/1.86 % (546547)Refutation not found, incomplete strategy
% 9.26/1.86 % (546547)------------------------------
% 9.26/1.86 % (546547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.86 % (546547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.86 % (546547)CaDiCaL version: 2.1.3
% 9.26/1.86 % (546547)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.86 % (546547)Time elapsed: 0.010 s
% 9.26/1.86 % (546547)Peak memory usage: 12 MB
% 12.55/2.10 % (546547)Instructions burned: 19 (million)
% 12.55/2.10 % (546547)------------------------------
% 12.55/2.10 % (546547)------------------------------
% 12.55/2.10 % (546549)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=2940965658:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/865Mi)
% 12.55/2.10 % (546551)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3131278218:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 12.55/2.10 % (546541)Instruction limit reached!
% 12.55/2.10 % (546541)------------------------------
% 12.55/2.10 % (546541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.55/2.10 % (546541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.10 % (546541)CaDiCaL version: 2.1.3
% 12.55/2.10 % (546541)Termination reason: Instruction limit
% 12.55/2.10 % (546541)Termination phase: Saturation
% 12.55/2.10 % (546541)Time elapsed: 0.112 s
% 12.55/2.10 % (546541)Peak memory usage: 13 MB
% 12.55/2.10 % (546541)Instructions burned: 234 (million)
% 12.55/2.10 % (546554)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4221508102:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/130Mi)
% 12.55/2.10 % (546554)Refutation not found, incomplete strategy
% 12.55/2.10 % (546554)------------------------------
% 12.55/2.10 % (546554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.55/2.10 % (546554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.10 % (546554)CaDiCaL version: 2.1.3
% 12.55/2.10 % (546554)Termination reason: Refutation not found, incomplete strategy
% 12.55/2.10 % (546554)Time elapsed: 0.005 s
% 12.55/2.10 % (546554)Peak memory usage: 12 MB
% 12.55/2.10 % (546554)Instructions burned: 9 (million)
% 12.55/2.10 % (546554)------------------------------
% 12.55/2.10 % (546554)------------------------------
% 12.55/2.10 % (546556)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2409305239:st=1.5:i=346:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/346Mi)
% 12.55/2.10 % (546556)Refutation not found, incomplete strategy
% 12.55/2.10 % (546556)------------------------------
% 12.55/2.10 % (546556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.55/2.10 % (546556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.10 % (546556)CaDiCaL version: 2.1.3
% 12.55/2.10 % (546556)Termination reason: Refutation not found, incomplete strategy
% 12.55/2.10 % (546556)Time elapsed: 0.009 s
% 12.55/2.10 % (546556)Peak memory usage: 12 MB
% 12.55/2.10 % (546556)Instructions burned: 18 (million)
% 12.55/2.10 % (546556)------------------------------
% 12.55/2.10 % (546556)------------------------------
% 12.55/2.10 % (546551)Instruction limit reached!
% 12.55/2.10 % (546551)------------------------------
% 12.55/2.10 % (546551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.55/2.10 % (546551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.10 % (546551)CaDiCaL version: 2.1.3
% 12.55/2.10 % (546551)Termination reason: Instruction limit
% 12.55/2.10 % (546551)Termination phase: Saturation
% 12.55/2.10 % (546551)Time elapsed: 0.096 s
% 12.55/2.10 % (546551)Peak memory usage: 12 MB
% 12.55/2.10 % (546551)Instructions burned: 213 (million)
% 12.55/2.10 % (546558)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4240348353:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/152Mi)
% 12.55/2.10 % (546545)Instruction limit reached!
% 12.55/2.10 % (546545)------------------------------
% 12.55/2.10 % (546545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.55/2.10 % (546545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/2.10 % (546545)CaDiCaL version: 2.1.3
% 12.55/2.10 % (546545)Termination reason: Instruction limit
% 12.55/2.10 % (546545)Termination phase: Saturation
% 12.55/2.10 % (546545)Time elapsed: 0.149 s
% 12.55/2.10 % (546545)Peak memory usage: 14 MB
% 12.55/2.10 % (546545)Instructions burned: 283 (million)
% 12.55/2.10 % (546559)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2481235289:i=75:ep=R:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/75Mi)
% 12.55/2.10 % (546561)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1244740813:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/387Mi)
% 12.55/2.10 % (546559)Instruction limit reached!
% 13.89/2.36 % (546559)------------------------------
% 13.89/2.36 % (546559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546559)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546559)Termination reason: Instruction limit
% 13.89/2.36 % (546559)Termination phase: Saturation
% 13.89/2.36 % (546559)Time elapsed: 0.052 s
% 13.89/2.36 % (546559)Peak memory usage: 13 MB
% 13.89/2.36 % (546559)Instructions burned: 75 (million)
% 13.89/2.36 % (546558)Instruction limit reached!
% 13.89/2.36 % (546558)------------------------------
% 13.89/2.36 % (546558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546558)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546558)Termination reason: Instruction limit
% 13.89/2.36 % (546558)Termination phase: Saturation
% 13.89/2.36 % (546558)Time elapsed: 0.073 s
% 13.89/2.36 % (546558)Peak memory usage: 12 MB
% 13.89/2.36 % (546558)Instructions burned: 154 (million)
% 13.89/2.36 % (546565)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3783391553:i=161:piset=and:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/161Mi)
% 13.89/2.36 % (546564)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=2466643788:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2985 on theBenchmark for (2985ds/148Mi)
% 13.89/2.36 % (546564)Instruction limit reached!
% 13.89/2.36 % (546564)------------------------------
% 13.89/2.36 % (546564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546564)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546564)Termination reason: Instruction limit
% 13.89/2.36 % (546564)Termination phase: Saturation
% 13.89/2.36 % (546564)Time elapsed: 0.076 s
% 13.89/2.36 % (546564)Peak memory usage: 13 MB
% 13.89/2.36 % (546564)Instructions burned: 148 (million)
% 13.89/2.36 % (546565)Instruction limit reached!
% 13.89/2.36 % (546565)------------------------------
% 13.89/2.36 % (546565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546565)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546565)Termination reason: Instruction limit
% 13.89/2.36 % (546565)Termination phase: Saturation
% 13.89/2.36 % (546565)Time elapsed: 0.076 s
% 13.89/2.36 % (546565)Peak memory usage: 12 MB
% 13.89/2.36 % (546565)Instructions burned: 161 (million)
% 13.89/2.36 % (546569)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=1485682864:i=136:add=on:ins=4:rtra=on:sup=off_2984 on theBenchmark for (2984ds/136Mi)
% 13.89/2.36 % (546568)lrs+10_1_sil=128000:si=on:random_seed=2186493890:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/888Mi)
% 13.89/2.36 % (546569)Refutation not found, incomplete strategy
% 13.89/2.36 % (546569)------------------------------
% 13.89/2.36 % (546569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546569)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546569)Termination reason: Refutation not found, incomplete strategy
% 13.89/2.36 % (546569)Time elapsed: 0.007 s
% 13.89/2.36 % (546569)Peak memory usage: 12 MB
% 13.89/2.36 % (546569)Instructions burned: 18 (million)
% 13.89/2.36 % (546569)------------------------------
% 13.89/2.36 % (546569)------------------------------
% 13.89/2.36 % (546572)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=3030577741:i=88:s2at=3:nm=2:rtra=on:rawr=on_2984 on theBenchmark for (2984ds/88Mi)
% 13.89/2.36 % (546561)Instruction limit reached!
% 13.89/2.36 % (546561)------------------------------
% 13.89/2.36 % (546561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546561)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546561)Termination reason: Instruction limit
% 13.89/2.36 % (546561)Termination phase: Saturation
% 13.89/2.36 % (546561)Time elapsed: 0.188 s
% 13.89/2.36 % (546561)Peak memory usage: 12 MB
% 13.89/2.36 % (546561)Instructions burned: 390 (million)
% 13.89/2.36 % (546572)Instruction limit reached!
% 13.89/2.36 % (546572)------------------------------
% 13.89/2.36 % (546572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546572)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546572)Termination reason: Instruction limit
% 13.89/2.36 % (546572)Termination phase: Saturation
% 13.89/2.36 % (546572)Time elapsed: 0.026 s
% 13.89/2.36 % (546572)Peak memory usage: 13 MB
% 13.89/2.36 % (546572)Instructions burned: 89 (million)
% 13.89/2.36 % (546574)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=569965906:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2983 on theBenchmark for (2983ds/93Mi)
% 13.89/2.36 % (546575)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3264696268:i=2186:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/2186Mi)
% 13.89/2.36 % (546574)Instruction limit reached!
% 13.89/2.36 % (546574)------------------------------
% 13.89/2.36 % (546574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546574)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546574)Termination reason: Instruction limit
% 13.89/2.36 % (546574)Termination phase: Saturation
% 13.89/2.36 % (546574)Time elapsed: 0.047 s
% 13.89/2.36 % (546574)Peak memory usage: 12 MB
% 13.89/2.36 % (546574)Instructions burned: 94 (million)
% 13.89/2.36 % (546578)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=609516221:s2a=on:i=240:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/240Mi)
% 13.89/2.36 % (546549)Instruction limit reached!
% 13.89/2.36 % (546549)------------------------------
% 13.89/2.36 % (546549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546549)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546549)Termination reason: Instruction limit
% 13.89/2.36 % (546549)Termination phase: Saturation
% 13.89/2.36 % (546549)Time elapsed: 0.442 s
% 13.89/2.36 % (546549)Peak memory usage: 15 MB
% 13.89/2.36 % (546549)Instructions burned: 865 (million)
% 13.89/2.36 % (546580)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3388421134:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/805Mi)
% 13.89/2.36 % (546532)Instruction limit reached!
% 13.89/2.36 % (546532)------------------------------
% 13.89/2.36 % (546532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546532)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546532)Termination reason: Instruction limit
% 13.89/2.36 % (546532)Termination phase: Saturation
% 13.89/2.36 % (546532)Time elapsed: 0.648 s
% 13.89/2.36 % (546532)Peak memory usage: 15 MB
% 13.89/2.36 % (546532)Instructions burned: 1442 (million)
% 13.89/2.36 % (546578)Instruction limit reached!
% 13.89/2.36 % (546578)------------------------------
% 13.89/2.36 % (546578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546578)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546578)Termination reason: Instruction limit
% 13.89/2.36 % (546578)Termination phase: Saturation
% 13.89/2.36 % (546578)Time elapsed: 0.124 s
% 13.89/2.36 % (546578)Peak memory usage: 13 MB
% 13.89/2.36 % (546578)Instructions burned: 241 (million)
% 13.89/2.36 % (546582)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 13.89/2.36 % (546582)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=3912129276:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2981 on theBenchmark for (2981ds/391Mi)
% 13.89/2.36 % (546582)Refutation not found, incomplete strategy
% 13.89/2.36 % (546582)------------------------------
% 13.89/2.36 % (546582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546582)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546582)Termination reason: Refutation not found, incomplete strategy
% 13.89/2.36 % (546582)Time elapsed: 0.008 s
% 13.89/2.36 % (546582)Peak memory usage: 12 MB
% 13.89/2.36 % (546582)Instructions burned: 15 (million)
% 13.89/2.36 % (546582)------------------------------
% 13.89/2.36 % (546582)------------------------------
% 13.89/2.36 % (546583)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1397021776:i=355:av=off:fsr=off:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/355Mi)
% 13.89/2.36 % (546585)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3644595161:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/314Mi)
% 13.89/2.36 % (546585)Refutation not found, incomplete strategy
% 13.89/2.36 % (546585)------------------------------
% 13.89/2.36 % (546585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546585)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546585)Termination reason: Refutation not found, incomplete strategy
% 13.89/2.36 % (546585)Time elapsed: 0.004 s
% 13.89/2.36 % (546585)Peak memory usage: 12 MB
% 13.89/2.36 % (546585)Instructions burned: 6 (million)
% 13.89/2.36 % (546585)------------------------------
% 13.89/2.36 % (546585)------------------------------
% 13.89/2.36 % (546588)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1951235380:s2a=on:i=251:fsr=off:rtra=on_2981 on theBenchmark for (2981ds/251Mi)
% 13.89/2.36 % (546568)Instruction limit reached!
% 13.89/2.36 % (546568)------------------------------
% 13.89/2.36 % (546568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546568)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546568)Termination reason: Instruction limit
% 13.89/2.36 % (546568)Termination phase: Saturation
% 13.89/2.36 % (546568)Time elapsed: 0.364 s
% 13.89/2.36 % (546568)Peak memory usage: 13 MB
% 13.89/2.36 % (546568)Instructions burned: 889 (million)
% 13.89/2.36 % (546590)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=3896025330:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2980 on theBenchmark for (2980ds/2470Mi)
% 13.89/2.36 % (546588)Instruction limit reached!
% 13.89/2.36 % (546588)------------------------------
% 13.89/2.36 % (546588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546588)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546588)Termination reason: Instruction limit
% 13.89/2.36 % (546588)Termination phase: Saturation
% 13.89/2.36 % (546588)Time elapsed: 0.100 s
% 13.89/2.36 % (546588)Peak memory usage: 11 MB
% 13.89/2.36 % (546588)Instructions burned: 253 (million)
% 13.89/2.36 % (546592)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1053718116:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2980 on theBenchmark for (2980ds/673Mi)
% 13.89/2.36 % (546583)Instruction limit reached!
% 13.89/2.36 % (546583)------------------------------
% 13.89/2.36 % (546583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.36 % (546583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.36 % (546583)CaDiCaL version: 2.1.3
% 13.89/2.36 % (546583)Termination reason: Instruction limit
% 13.89/2.36 % (546583)Termination phase: Saturation
% 13.89/2.36 % (546583)Time elapsed: 0.210 s
% 13.89/2.36 % (546583)Peak memory usage: 12 MB
% 13.89/2.36 % (546583)Instructions burned: 355 (million)
% 13.89/2.36 % (546575) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-546350-546575"...
% 13.89/2.36 % (546594)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1795877712:i=116:ep=RSTC:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/116Mi)
% 13.89/2.36 % (546575)...printing done.
% 13.89/2.36 % (546575)Refutation found. Thanks to Tanya!
% 13.89/2.36 % SZS status Theorem for theBenchmark
% 13.89/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 13.89/2.37 % (546575)------------------------------
% 13.89/2.37 % (546575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.37 % (546575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.37 % (546575)CaDiCaL version: 2.1.3
% 13.89/2.37 % (546575)Termination reason: Refutation
% 13.89/2.37 % (546575)Time elapsed: 0.463 s
% 13.89/2.37 % (546575)Peak memory usage: 15 MB
% 13.89/2.37 % (546575)Instructions burned: 1356 (million)
% 13.89/2.37 % (546350)Success in time 2.111 s
% 13.89/2.37 % Vampire exiting
%------------------------------------------------------------------------------