%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV040^5 : 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 : n014.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 08:37:31 AM UTC 2026
% Result : Theorem 6.35s 1.46s
% Output : Refutation 6.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 17
% Syntax : Number of formulae : 295 ( 11 unt; 0 typ; 16 def)
% Number of atoms : 2662 ( 423 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 6336 ( 388 ~; 383 |; 555 &;3757 @)
% ( 16 <=>; 437 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 348 ( 348 >; 0 *; 0 +; 0 <<)
% Number of symbols : 64 ( 60 usr; 43 con; 0-4 aty)
% ( 800 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1106 ( 0 sgn 207 !; 0 ?;1106 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vNOT: $o > $o ).
thf(func_def_2,type,
vAND: $o > $o > $o ).
thf(func_def_3,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_6,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
vIMP: $o > $o > $o ).
thf(func_def_8,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_10,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK1: a > a > $o ).
thf(func_def_17,type,
sK2: a > a > $o ).
thf(func_def_18,type,
sK3: a ).
thf(func_def_19,type,
sK4: a ).
thf(func_def_20,type,
sK5: a ).
thf(func_def_21,type,
sK6: a ).
thf(func_def_22,type,
sK7: a ).
thf(func_def_23,type,
sK8: a > a > $o ).
thf(func_def_24,type,
sK9: a > a > $o ).
thf(func_def_25,type,
sK10: a > a > $o ).
thf(func_def_26,type,
sK11: a ).
thf(func_def_27,type,
sK12: a ).
thf(func_def_28,type,
sK13: a ).
thf(func_def_29,type,
sK14: a ).
thf(func_def_30,type,
sK15: a ).
thf(func_def_31,type,
sK16: a ).
thf(func_def_32,type,
sK17: a ).
thf(func_def_33,type,
sK18: a ).
thf(func_def_34,type,
sK19: a ).
thf(func_def_35,type,
sK20: a ).
thf(func_def_36,type,
sK21: a > a > $o ).
thf(func_def_37,type,
sK22: a > a > $o ).
thf(func_def_38,type,
sK23: a ).
thf(func_def_39,type,
sK24: a ).
thf(func_def_40,type,
sK25: a ).
thf(func_def_41,type,
sK26: a ).
thf(func_def_42,type,
sK27: a ).
thf(func_def_43,type,
sK28: a ).
thf(func_def_44,type,
sK29: a ).
thf(func_def_45,type,
sK30: a ).
thf(func_def_46,type,
sK31: a ).
thf(f1,conjecture,
( ! [X1: a > a > $o,X0: a > a > $o] :
( ( ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X4 ) )
& ( X0 = X1 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ X3 @ X2 ) ) )
=> ( ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: a,X3: a,X2: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X2 @ X3 ) )
=> ( X1 @ X2 @ X4 ) )
& ( X1 = X0 ) ) )
& ! [X0: a > a > $o,X4: a > a > $o,X1: a > a > $o] :
( ( ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X3: a,X5: a,X2: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X3 @ X5 ) )
=> ( X0 @ X2 @ X5 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ X3 @ X2 ) )
& ( X0 = X1 )
& ( X1 = X4 )
& ! [X5: a,X3: a,X2: a] :
( ( ( X1 @ X3 @ X5 )
& ( X1 @ X2 @ X3 ) )
=> ( X1 @ X2 @ X5 ) ) )
=> ( ! [X3: a,X2: a,X5: a] :
( ( ( X0 @ X3 @ X5 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X5 ) )
& ( X0 = X4 )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ X3 @ X2 ) ) ) )
& ( ( ^ [X6: a > a > $o,X7: a > a > $o] :
( ! [X4: a,X1: a,X0: a] :
( ( ( X6 @ X0 @ X1 )
& ( X6 @ X1 @ X4 ) )
=> ( X6 @ X0 @ X4 ) )
& ! [X1: a,X0: a] :
( ( X6 @ X0 @ X1 )
=> ( X6 @ X1 @ X0 ) )
& ( X6 = X7 ) ) )
= ( ^ [X6: a > a > $o,X7: a > a > $o] :
( ! [X1: a,X0: a] :
( ( X6 @ X0 @ X1 )
=> ( X6 @ X1 @ X0 ) )
& ! [X0: a,X1: a,X4: a] :
( ( ( X6 @ X0 @ X1 )
& ( X6 @ X1 @ X4 ) )
=> ( X6 @ X0 @ X4 ) )
& ( X6 = X7 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM515_pme) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > a > $o,X0: a > a > $o] :
( ( ! [X2: a,X3: a,X4: a] :
( ( ( X0 @ X3 @ X4 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X4 ) )
& ( X0 = X1 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ X3 @ X2 ) ) )
=> ( ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X4: a,X3: a,X2: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X2 @ X3 ) )
=> ( X1 @ X2 @ X4 ) )
& ( X1 = X0 ) ) )
& ! [X0: a > a > $o,X4: a > a > $o,X1: a > a > $o] :
( ( ! [X2: a,X3: a] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) )
& ! [X3: a,X5: a,X2: a] :
( ( ( X0 @ X2 @ X3 )
& ( X0 @ X3 @ X5 ) )
=> ( X0 @ X2 @ X5 ) )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ X3 @ X2 ) )
& ( X0 = X1 )
& ( X1 = X4 )
& ! [X5: a,X3: a,X2: a] :
( ( ( X1 @ X3 @ X5 )
& ( X1 @ X2 @ X3 ) )
=> ( X1 @ X2 @ X5 ) ) )
=> ( ! [X3: a,X2: a,X5: a] :
( ( ( X0 @ X3 @ X5 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X2 @ X5 ) )
& ( X0 = X4 )
& ! [X3: a,X2: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ X3 @ X2 ) ) ) )
& ( ( ^ [X6: a > a > $o,X7: a > a > $o] :
( ! [X4: a,X1: a,X0: a] :
( ( ( X6 @ X0 @ X1 )
& ( X6 @ X1 @ X4 ) )
=> ( X6 @ X0 @ X4 ) )
& ! [X1: a,X0: a] :
( ( X6 @ X0 @ X1 )
=> ( X6 @ X1 @ X0 ) )
& ( X6 = X7 ) ) )
= ( ^ [X6: a > a > $o,X7: a > a > $o] :
( ! [X1: a,X0: a] :
( ( X6 @ X0 @ X1 )
=> ( X6 @ X1 @ X0 ) )
& ! [X0: a,X1: a,X4: a] :
( ( ( X6 @ X0 @ X1 )
& ( X6 @ X1 @ X4 ) )
=> ( X6 @ X0 @ X4 ) )
& ( X6 = X7 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ! [X0: a > a > $o,X1: a > a > $o] :
( ( ! [X2: a,X3: a,X4: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X2 @ X3 ) )
=> ( X1 @ X2 @ X4 ) )
& ( X0 = X1 )
& ! [X5: a,X6: a] :
( ( X1 @ X5 @ X6 )
=> ( X1 @ X6 @ X5 ) ) )
=> ( ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X0 @ X8 @ X7 ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X0 @ X10 @ X9 )
& ( X0 @ X11 @ X10 ) )
=> ( X0 @ X11 @ X9 ) )
& ( X1 = X0 ) ) )
& ! [X12: a > a > $o,X13: a > a > $o,X14: a > a > $o] :
( ( ! [X15: a,X16: a] :
( ( X14 @ X15 @ X16 )
=> ( X14 @ X16 @ X15 ) )
& ! [X17: a,X18: a,X19: a] :
( ( ( X12 @ X19 @ X17 )
& ( X12 @ X17 @ X18 ) )
=> ( X12 @ X19 @ X18 ) )
& ! [X20: a,X21: a] :
( ( X12 @ X20 @ X21 )
=> ( X12 @ X21 @ X20 ) )
& ( X12 = X14 )
& ( X13 = X14 )
& ! [X22: a,X23: a,X24: a] :
( ( ( X14 @ X23 @ X22 )
& ( X14 @ X24 @ X23 ) )
=> ( X14 @ X24 @ X22 ) ) )
=> ( ! [X25: a,X26: a,X27: a] :
( ( ( X12 @ X25 @ X27 )
& ( X12 @ X26 @ X25 ) )
=> ( X12 @ X26 @ X27 ) )
& ( X12 = X13 )
& ! [X28: a,X29: a] :
( ( X12 @ X29 @ X28 )
=> ( X12 @ X28 @ X29 ) ) ) )
& ( ( ^ [X30: a > a > $o,X31: a > a > $o] :
( ! [X32: a,X33: a,X34: a] :
( ( ( X30 @ X34 @ X33 )
& ( X30 @ X33 @ X32 ) )
=> ( X30 @ X34 @ X32 ) )
& ! [X35: a,X36: a] :
( ( X30 @ X36 @ X35 )
=> ( X30 @ X35 @ X36 ) )
& ( X30 = X31 ) ) )
= ( ^ [X37: a > a > $o,X38: a > a > $o] :
( ! [X39: a,X40: a] :
( ( X37 @ X40 @ X39 )
=> ( X37 @ X39 @ X40 ) )
& ! [X41: a,X42: a,X43: a] :
( ( ( X37 @ X41 @ X42 )
& ( X37 @ X42 @ X43 ) )
=> ( X37 @ X41 @ X43 ) )
& ( X37 = X38 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ~ ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ Y2 @ Y3 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y4 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ~ ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ Y2 @ Y3 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y4 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f7,plain,
( $false
= ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ Y2 @ Y3 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y4 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f10,plain,
( ( $false
= ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ Y2 @ Y3 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y4 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f7]) ).
thf(f12,definition,
( spl0_1
<=> ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ Y2 @ Y3 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y4 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f14,plain,
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ Y2 @ Y3 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y4 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
thf(f16,definition,
( spl0_2
<=> ( $false
= ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f18,plain,
( ( $false
= ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
& ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
thf(f19,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f16,f12]) ).
thf(f22,plain,
( ( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y3 @ Y2 )
=> ( Y0 @ Y2 @ Y3 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y4 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) ) )
=> ( ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y3 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) ) ) )
@ sK1 ) )
| ~ spl0_1 ),
inference(sigma_proxy_clausification,[],[f14]) ).
thf(f23,plain,
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y2 @ Y1 )
=> ( sK1 @ Y1 @ Y2 ) ) ) )
& ( Y0 = sK1 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y3 @ Y2 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y3 @ Y1 ) ) ) ) ) )
=> ( ( Y0 = sK1 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f22]) ).
thf(f24,plain,
( ( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y2 @ Y1 )
=> ( sK1 @ Y1 @ Y2 ) ) ) )
& ( Y0 = sK1 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y3 @ Y2 )
& ( sK1 @ Y2 @ Y1 ) )
=> ( sK1 @ Y3 @ Y1 ) ) ) ) ) )
=> ( ( Y0 = sK1 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) )
@ sK2 ) )
| ~ spl0_1 ),
inference(sigma_proxy_clausification,[],[f23]) ).
thf(f25,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ Y0 @ Y1 ) ) ) )
& ( sK2 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y2 @ Y1 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y2 @ Y0 ) ) ) ) ) )
=> ( ( sK2 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f24]) ).
thf(f26,plain,
( ( $false
= ( ( sK2 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl0_1 ),
inference(imp_proxy_clausification,[],[f25]) ).
thf(f27,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ Y0 @ Y1 ) ) ) )
& ( sK2 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y2 @ Y1 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y2 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_1 ),
inference(imp_proxy_clausification,[],[f25]) ).
thf(f30,plain,
( ( $false
= ( ( sK2 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f26]) ).
thf(f32,definition,
( spl0_3
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f34,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f36,definition,
( spl0_4
<=> ( $false
= ( ( sK2 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f38,plain,
( ( $false
= ( ( sK2 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( sK2 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,plain,
( spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f30,f12,f36,f32]) ).
thf(f42,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK2 @ Y0 @ Y1 ) ) )
@ sK3 ) )
| ~ spl0_3 ),
inference(sigma_proxy_clausification,[],[f34]) ).
thf(f43,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ sK3 )
=> ( sK2 @ sK3 @ Y0 ) ) ) )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f42]) ).
thf(f44,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK2 @ Y0 @ sK3 )
=> ( sK2 @ sK3 @ Y0 ) )
@ sK4 ) )
| ~ spl0_3 ),
inference(sigma_proxy_clausification,[],[f43]) ).
thf(f45,plain,
( ( $false
= ( ( sK2 @ sK4 @ sK3 )
=> ( sK2 @ sK3 @ sK4 ) ) )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
( ( $false
= ( sK2 @ sK3 @ sK4 ) )
| ~ spl0_3 ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f47,plain,
( ( $true
= ( sK2 @ sK4 @ sK3 ) )
| ~ spl0_3 ),
inference(imp_proxy_clausification,[],[f45]) ).
thf(f52,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y2 @ Y1 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y2 @ Y0 ) ) ) ) ) )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f27]) ).
thf(f53,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ Y0 @ Y1 ) ) ) )
& ( sK2 = sK1 ) )
= $true )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f27]) ).
thf(f56,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y2 @ Y1 )
& ( sK1 @ Y1 @ Y0 ) )
=> ( sK1 @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_proxy_clausification,[],[f52]) ).
thf(f57,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y1 @ Y0 )
& ( sK1 @ Y0 @ X1 ) )
=> ( sK1 @ Y1 @ X1 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f56]) ).
thf(f58,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y1 @ Y0 )
& ( sK1 @ Y0 @ X1 ) )
=> ( sK1 @ Y1 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_1 ),
inference(pi_proxy_clausification,[],[f57]) ).
thf(f59,plain,
( ! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ Y0 @ X2 )
& ( sK1 @ X2 @ X1 ) )
=> ( sK1 @ Y0 @ X1 ) ) )
= $true )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f58]) ).
thf(f60,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK1 @ Y0 @ X2 )
& ( sK1 @ X2 @ X1 ) )
=> ( sK1 @ Y0 @ X1 ) )
@ X3 )
= $true )
| ~ spl0_1 ),
inference(pi_proxy_clausification,[],[f59]) ).
thf(f61,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ( ( sK1 @ X3 @ X2 )
& ( sK1 @ X2 @ X1 ) )
=> ( sK1 @ X3 @ X1 ) )
= $true )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f63,plain,
( ( ( sK2 = sK1 )
= $true )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f53]) ).
thf(f64,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ Y0 @ Y1 ) ) ) )
= $true )
| ~ spl0_1 ),
inference(and_proxy_clausification,[],[f53]) ).
thf(f67,plain,
( ( sK2 = sK1 )
| ~ spl0_1 ),
inference(equality_proxy_clausification,[],[f63]) ).
thf(f70,plain,
( ! [X1: a] :
( ( sK2 @ X1 )
= ( sK1 @ X1 ) )
| ~ spl0_1 ),
inference(argument_congruence,[],[f67]) ).
thf(f71,plain,
( ! [X2: a,X1: a] :
( ( sK2 @ X1 @ X2 )
= ( sK1 @ X1 @ X2 ) )
| ~ spl0_1 ),
inference(argument_congruence,[],[f70]) ).
thf(f72,plain,
( ( ( sK1 @ sK3 @ sK4 )
= $false )
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f46,f71]) ).
thf(f73,plain,
( ( ( sK1 @ sK4 @ sK3 )
= $true )
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f47,f71]) ).
thf(f118,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y1 @ Y0 )
=> ( sK1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true )
| ~ spl0_1 ),
inference(pi_proxy_clausification,[],[f64]) ).
thf(f119,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ Y0 @ X1 )
=> ( sK1 @ X1 @ Y0 ) ) )
= $true )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f118]) ).
thf(f120,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK1 @ Y0 @ X1 )
=> ( sK1 @ X1 @ Y0 ) )
@ X2 )
= $true )
| ~ spl0_1 ),
inference(pi_proxy_clausification,[],[f119]) ).
thf(f121,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( sK1 @ X2 @ X1 )
=> ( sK1 @ X1 @ X2 ) ) )
| ~ spl0_1 ),
inference(beta-eta_normalization,[],[f120]) ).
thf(f123,plain,
( ( ( ( sK1 @ sK4 @ sK3 )
=> $false )
= $true )
| ~ spl0_1
| ~ spl0_3 ),
inference(constrained_superposition,[],[f121,f72]) ).
thf(f129,plain,
( ( ( ~ ( sK1 @ sK4 @ sK3 ) )
= $true )
| ~ spl0_1
| ~ spl0_3 ),
inference(boolean_simplification,[],[f123]) ).
thf(f134,plain,
( ( ( ~ $true ) = $true )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f129,f73]) ).
thf(f135,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_3 ),
inference(boolean_simplification,[],[f134]) ).
thf(f136,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f135]) ).
thf(f137,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f136]) ).
thf(f138,plain,
( ( $false
= ( ( sK1 = sK1 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( sK1 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f38,f67]) ).
thf(f139,plain,
( ( $false
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( sK1 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(boolean_simplification,[],[f138]) ).
thf(f140,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( sK1 @ Y0 @ Y2 ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(boolean_simplification,[],[f139]) ).
thf(f152,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( sK1 @ Y0 @ Y2 ) ) ) )
@ sK5 ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(sigma_proxy_clausification,[],[f140]) ).
thf(f153,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK5 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK1 @ sK5 @ Y1 ) ) ) )
= $false )
| ~ spl0_1
| ~ spl0_4 ),
inference(beta-eta_normalization,[],[f152]) ).
thf(f181,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK5 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK1 @ sK5 @ Y1 ) ) )
@ sK6 ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(sigma_proxy_clausification,[],[f153]) ).
thf(f182,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK5 @ sK6 )
& ( sK1 @ sK6 @ Y0 ) )
=> ( sK1 @ sK5 @ Y0 ) ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(beta-eta_normalization,[],[f181]) ).
thf(f183,plain,
( ( ( ^ [Y0: a] :
( ( ( sK1 @ sK5 @ sK6 )
& ( sK1 @ sK6 @ Y0 ) )
=> ( sK1 @ sK5 @ Y0 ) )
@ sK7 )
= $false )
| ~ spl0_1
| ~ spl0_4 ),
inference(sigma_proxy_clausification,[],[f182]) ).
thf(f184,plain,
( ( $false
= ( ( ( sK1 @ sK5 @ sK6 )
& ( sK1 @ sK6 @ sK7 ) )
=> ( sK1 @ sK5 @ sK7 ) ) )
| ~ spl0_1
| ~ spl0_4 ),
inference(beta-eta_normalization,[],[f183]) ).
thf(f185,plain,
( ( $false = $true )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f184,f61]) ).
thf(f186,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f187,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f186]) ).
thf(f196,plain,
( ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
= $false )
| ( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(and_proxy_clausification,[],[f18]) ).
thf(f198,definition,
( spl0_5
<=> ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f200,plain,
( ( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f198]) ).
thf(f202,definition,
( spl0_6
<=> ( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f204,plain,
( ( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f205,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f196,f16,f202,f198]) ).
thf(f208,plain,
( ( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y0 @ Y3 @ Y5 ) ) ) ) )
& ( Y1 = Y0 )
& ( Y2 = Y0 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( Y0 @ Y3 @ Y4 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y3 @ Y4 )
=> ( Y2 @ Y4 @ Y3 ) ) ) )
& ( Y2 = Y1 )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y5 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) ) )
@ sK8 ) )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f204]) ).
thf(f209,plain,
( ( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK8 @ Y2 @ Y3 )
& ( sK8 @ Y3 @ Y4 ) )
=> ( sK8 @ Y2 @ Y4 ) ) ) ) )
& ( Y0 = sK8 )
& ( Y1 = sK8 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y2 @ Y4 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK8 @ Y3 @ Y2 )
=> ( sK8 @ Y2 @ Y3 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y4 @ Y2 ) )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f208]) ).
thf(f210,plain,
( ( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK8 @ Y2 @ Y3 )
& ( sK8 @ Y3 @ Y4 ) )
=> ( sK8 @ Y2 @ Y4 ) ) ) ) )
& ( Y0 = sK8 )
& ( Y1 = sK8 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y2 @ Y4 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK8 @ Y3 @ Y2 )
=> ( sK8 @ Y2 @ Y3 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y2 @ Y3 )
=> ( Y1 @ Y3 @ Y2 ) ) ) )
& ( Y1 = Y0 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y4 @ Y2 ) )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
@ sK9 ) )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f209]) ).
thf(f211,plain,
( ( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK8 @ Y1 @ Y2 )
& ( sK8 @ Y2 @ Y3 ) )
=> ( sK8 @ Y1 @ Y3 ) ) ) ) )
& ( sK9 = sK8 )
& ( Y0 = sK8 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK8 @ Y2 @ Y1 )
=> ( sK8 @ Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( Y0 = sK9 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f212,plain,
( ( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK8 @ Y1 @ Y2 )
& ( sK8 @ Y2 @ Y3 ) )
=> ( sK8 @ Y1 @ Y3 ) ) ) ) )
& ( sK9 = sK8 )
& ( Y0 = sK8 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK8 @ Y2 @ Y1 )
=> ( sK8 @ Y1 @ Y2 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
& ( Y0 = sK9 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ) )
@ sK10 ) )
| ~ spl0_6 ),
inference(sigma_proxy_clausification,[],[f211]) ).
thf(f213,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK8 @ Y0 @ Y1 )
& ( sK8 @ Y1 @ Y2 ) )
=> ( sK8 @ Y0 @ Y2 ) ) ) ) )
& ( sK9 = sK8 )
& ( sK10 = sK8 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 @ Y0 )
=> ( sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y2 @ Y1 )
& ( sK10 @ Y0 @ Y2 ) )
=> ( sK10 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ Y1 @ Y0 )
=> ( sK8 @ Y0 @ Y1 ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) )
& ( sK10 = sK9 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y1 @ Y2 )
& ( sK10 @ Y2 @ Y0 ) )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f212]) ).
thf(f214,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) )
& ( sK10 = sK9 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y1 @ Y2 )
& ( sK10 @ Y2 @ Y0 ) )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f213]) ).
thf(f215,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK8 @ Y0 @ Y1 )
& ( sK8 @ Y1 @ Y2 ) )
=> ( sK8 @ Y0 @ Y2 ) ) ) ) )
& ( sK9 = sK8 )
& ( sK10 = sK8 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 @ Y0 )
=> ( sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y2 @ Y1 )
& ( sK10 @ Y0 @ Y2 ) )
=> ( sK10 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ Y1 @ Y0 )
=> ( sK8 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f213]) ).
thf(f218,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y1 @ Y2 )
& ( sK10 @ Y2 @ Y0 ) )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) ) )
| ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) )
& ( sK10 = sK9 ) ) )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f214]) ).
thf(f220,definition,
( spl0_7
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y1 @ Y2 )
& ( sK10 @ Y2 @ Y0 ) )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f222,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y1 @ Y2 )
& ( sK10 @ Y2 @ Y0 ) )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f220]) ).
thf(f224,definition,
( spl0_8
<=> ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) )
& ( sK10 = sK9 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f226,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) )
& ( sK10 = sK9 ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f224]) ).
thf(f227,plain,
( spl0_7
| spl0_8
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f218,f202,f224,f220]) ).
thf(f230,plain,
( ( $false
= ( sK10 = sK9 ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_8 ),
inference(and_proxy_clausification,[],[f226]) ).
thf(f232,definition,
( spl0_9
<=> ( $false
= ( sK10 = sK9 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f234,plain,
( ( $false
= ( sK10 = sK9 ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f232]) ).
thf(f236,definition,
( spl0_10
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f238,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f236]) ).
thf(f239,plain,
( spl0_9
| spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f230,f224,f236,f232]) ).
thf(f242,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y0 @ Y1 )
=> ( sK10 @ Y1 @ Y0 ) ) )
@ sK11 ) )
| ~ spl0_10 ),
inference(sigma_proxy_clausification,[],[f238]) ).
thf(f243,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK10 @ sK11 @ Y0 )
=> ( sK10 @ Y0 @ sK11 ) ) ) )
| ~ spl0_10 ),
inference(beta-eta_normalization,[],[f242]) ).
thf(f244,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK10 @ sK11 @ Y0 )
=> ( sK10 @ Y0 @ sK11 ) )
@ sK12 ) )
| ~ spl0_10 ),
inference(sigma_proxy_clausification,[],[f243]) ).
thf(f245,plain,
( ( $false
= ( ( sK10 @ sK11 @ sK12 )
=> ( sK10 @ sK12 @ sK11 ) ) )
| ~ spl0_10 ),
inference(beta-eta_normalization,[],[f244]) ).
thf(f246,plain,
( ( $false
= ( sK10 @ sK12 @ sK11 ) )
| ~ spl0_10 ),
inference(imp_proxy_clausification,[],[f245]) ).
thf(f247,plain,
( ( ( sK10 @ sK11 @ sK12 )
= $true )
| ~ spl0_10 ),
inference(imp_proxy_clausification,[],[f245]) ).
thf(f250,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ Y1 @ Y0 )
=> ( sK8 @ Y0 @ Y1 ) ) ) )
= $true )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f215]) ).
thf(f251,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK8 @ Y0 @ Y1 )
& ( sK8 @ Y1 @ Y2 ) )
=> ( sK8 @ Y0 @ Y2 ) ) ) ) )
& ( sK9 = sK8 )
& ( sK10 = sK8 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 @ Y0 )
=> ( sK10 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y2 @ Y1 )
& ( sK10 @ Y0 @ Y2 ) )
=> ( sK10 @ Y0 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f215]) ).
thf(f254,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK8 @ Y1 @ Y0 )
=> ( sK8 @ Y0 @ Y1 ) ) )
@ X1 )
= $true )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f250]) ).
thf(f255,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK8 @ Y0 @ X1 )
=> ( sK8 @ X1 @ Y0 ) ) )
= $true )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f254]) ).
thf(f256,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK8 @ Y0 @ X1 )
=> ( sK8 @ X1 @ Y0 ) )
@ X2 )
= $true )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f255]) ).
thf(f257,plain,
( ! [X2: a,X1: a] :
( ( ( sK8 @ X2 @ X1 )
=> ( sK8 @ X1 @ X2 ) )
= $true )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f256]) ).
thf(f258,plain,
( ! [X2: a,X1: a] :
( ( ( sK8 @ X1 @ X2 )
= $true )
| ( $false
= ( sK8 @ X2 @ X1 ) ) )
| ~ spl0_6 ),
inference(imp_proxy_clausification,[],[f257]) ).
thf(f259,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y2 @ Y1 )
& ( sK10 @ Y0 @ Y2 ) )
=> ( sK10 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f251]) ).
thf(f260,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK8 @ Y0 @ Y1 )
& ( sK8 @ Y1 @ Y2 ) )
=> ( sK8 @ Y0 @ Y2 ) ) ) ) )
& ( sK9 = sK8 )
& ( sK10 = sK8 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 @ Y0 )
=> ( sK10 @ Y0 @ Y1 ) ) ) ) )
= $true )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f251]) ).
thf(f263,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y2 @ Y1 )
& ( sK10 @ Y0 @ Y2 ) )
=> ( sK10 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f259]) ).
thf(f264,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK10 @ Y1 @ Y0 )
& ( sK10 @ X1 @ Y1 ) )
=> ( sK10 @ X1 @ Y0 ) ) ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f263]) ).
thf(f265,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK10 @ Y1 @ Y0 )
& ( sK10 @ X1 @ Y1 ) )
=> ( sK10 @ X1 @ Y0 ) ) )
@ X2 ) )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f264]) ).
thf(f266,plain,
( ! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK10 @ Y0 @ X2 )
& ( sK10 @ X1 @ Y0 ) )
=> ( sK10 @ X1 @ X2 ) ) )
= $true )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f265]) ).
thf(f267,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK10 @ Y0 @ X2 )
& ( sK10 @ X1 @ Y0 ) )
=> ( sK10 @ X1 @ X2 ) )
@ X3 )
= $true )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f266]) ).
thf(f268,plain,
( ! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK10 @ X3 @ X2 )
& ( sK10 @ X1 @ X3 ) )
=> ( sK10 @ X1 @ X2 ) ) )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f267]) ).
thf(f310,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 @ Y0 )
=> ( sK10 @ Y0 @ Y1 ) ) ) )
= $true )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f260]) ).
thf(f311,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK8 @ Y0 @ Y1 )
& ( sK8 @ Y1 @ Y2 ) )
=> ( sK8 @ Y0 @ Y2 ) ) ) ) )
& ( sK9 = sK8 )
& ( sK10 = sK8 ) ) )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f260]) ).
thf(f316,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK10 @ Y1 @ Y0 )
=> ( sK10 @ Y0 @ Y1 ) ) )
@ X1 )
= $true )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f310]) ).
thf(f317,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK10 @ Y0 @ X1 )
=> ( sK10 @ X1 @ Y0 ) ) )
= $true )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f316]) ).
thf(f318,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK10 @ Y0 @ X1 )
=> ( sK10 @ X1 @ Y0 ) )
@ X2 )
= $true )
| ~ spl0_6 ),
inference(pi_proxy_clausification,[],[f317]) ).
thf(f319,plain,
( ! [X2: a,X1: a] :
( ( ( sK10 @ X2 @ X1 )
=> ( sK10 @ X1 @ X2 ) )
= $true )
| ~ spl0_6 ),
inference(beta-eta_normalization,[],[f318]) ).
thf(f321,plain,
( ( ( ( sK10 @ sK11 @ sK12 )
=> $false )
= $true )
| ~ spl0_6
| ~ spl0_10 ),
inference(constrained_superposition,[],[f319,f246]) ).
thf(f327,plain,
( ( ( ~ ( sK10 @ sK11 @ sK12 ) )
= $true )
| ~ spl0_6
| ~ spl0_10 ),
inference(boolean_simplification,[],[f321]) ).
thf(f332,plain,
( ( ( ~ $true ) = $true )
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f327,f247]) ).
thf(f333,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_10 ),
inference(boolean_simplification,[],[f332]) ).
thf(f334,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f333]) ).
thf(f335,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f334]) ).
thf(f338,plain,
( ( sK10 != sK9 )
| ~ spl0_9 ),
inference(equality_proxy_clausification,[],[f234]) ).
thf(f467,plain,
( ( ( sK10 = sK8 )
= $true )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f311]) ).
thf(f468,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK8 @ Y0 @ Y1 )
& ( sK8 @ Y1 @ Y2 ) )
=> ( sK8 @ Y0 @ Y2 ) ) ) ) )
& ( sK9 = sK8 ) )
= $true )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f311]) ).
thf(f471,plain,
( ( sK8 = sK10 )
| ~ spl0_6 ),
inference(equality_proxy_clausification,[],[f467]) ).
thf(f482,plain,
( ( sK8 != sK9 )
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f338,f471]) ).
thf(f510,plain,
( ! [X1: a] :
( ( sK8 @ X1 )
= ( sK10 @ X1 ) )
| ~ spl0_6 ),
inference(argument_congruence,[],[f471]) ).
thf(f514,plain,
( ! [X2: a,X1: a] :
( ( sK8 @ X1 @ X2 )
= ( sK10 @ X1 @ X2 ) )
| ~ spl0_6 ),
inference(argument_congruence,[],[f510]) ).
thf(f519,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ( ( sK10 @ X3 @ X2 )
& ( sK10 @ X1 @ X3 ) )
=> ( sK8 @ X1 @ X2 ) )
= $true )
| ~ spl0_6 ),
inference(backward_demodulation,[],[f268,f514]) ).
thf(f540,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ( ( sK8 @ X3 @ X2 )
& ( sK10 @ X1 @ X3 ) )
=> ( sK8 @ X1 @ X2 ) )
= $true )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f519,f514]) ).
thf(f544,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ( ( sK8 @ X3 @ X2 )
& ( sK8 @ X1 @ X3 ) )
=> ( sK8 @ X1 @ X2 ) )
= $true )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f540,f514]) ).
thf(f866,plain,
( ( $true
= ( sK9 = sK8 ) )
| ~ spl0_6 ),
inference(and_proxy_clausification,[],[f468]) ).
thf(f870,plain,
( ( sK8 = sK9 )
| ~ spl0_6 ),
inference(equality_proxy_clausification,[],[f866]) ).
thf(f886,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f870,f482]) ).
thf(f887,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f886]) ).
thf(f920,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK10 @ Y1 @ Y2 )
& ( sK10 @ Y2 @ Y0 ) )
=> ( sK10 @ Y1 @ Y0 ) ) ) )
@ sK18 ) )
| ~ spl0_7 ),
inference(sigma_proxy_clausification,[],[f222]) ).
thf(f921,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK10 @ Y0 @ Y1 )
& ( sK10 @ Y1 @ sK18 ) )
=> ( sK10 @ Y0 @ sK18 ) ) ) ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f920]) ).
thf(f949,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK10 @ Y0 @ Y1 )
& ( sK10 @ Y1 @ sK18 ) )
=> ( sK10 @ Y0 @ sK18 ) ) )
@ sK19 ) )
| ~ spl0_7 ),
inference(sigma_proxy_clausification,[],[f921]) ).
thf(f950,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK10 @ sK19 @ Y0 )
& ( sK10 @ Y0 @ sK18 ) )
=> ( sK10 @ sK19 @ sK18 ) ) ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f949]) ).
thf(f951,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK10 @ sK19 @ Y0 )
& ( sK10 @ Y0 @ sK18 ) )
=> ( sK10 @ sK19 @ sK18 ) )
@ sK20 ) )
| ~ spl0_7 ),
inference(sigma_proxy_clausification,[],[f950]) ).
thf(f952,plain,
( ( $false
= ( ( ( sK10 @ sK19 @ sK20 )
& ( sK10 @ sK20 @ sK18 ) )
=> ( sK10 @ sK19 @ sK18 ) ) )
| ~ spl0_7 ),
inference(beta-eta_normalization,[],[f951]) ).
thf(f953,plain,
( ( $false
= ( ( ( sK8 @ sK19 @ sK20 )
& ( sK10 @ sK20 @ sK18 ) )
=> ( sK10 @ sK19 @ sK18 ) ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f952,f514]) ).
thf(f954,plain,
( ( $false
= ( ( ( sK8 @ sK19 @ sK20 )
& ( sK8 @ sK20 @ sK18 ) )
=> ( sK10 @ sK19 @ sK18 ) ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f953,f514]) ).
thf(f955,plain,
( ( $false
= ( ( ( sK8 @ sK19 @ sK20 )
& ( sK8 @ sK20 @ sK18 ) )
=> ( sK8 @ sK19 @ sK18 ) ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f954,f514]) ).
thf(f957,plain,
( ( ( ( sK8 @ sK19 @ sK20 )
& ( sK8 @ sK20 @ sK18 ) )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(imp_proxy_clausification,[],[f955]) ).
thf(f959,plain,
( ( ( ( ( sK8 @ sK19 @ sK20 )
& ( sK8 @ sK20 @ sK18 ) )
=> $true )
= $false )
| ( $false
= ( sK8 @ sK18 @ sK19 ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(constrained_superposition,[],[f955,f258]) ).
thf(f960,plain,
( ( $false
= ( ( ( sK8 @ sK19 @ sK20 )
& $false )
=> ( sK8 @ sK19 @ sK18 ) ) )
| ( ( sK8 @ sK18 @ sK20 )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(constrained_superposition,[],[f955,f258]) ).
thf(f963,plain,
( ( ( sK8 @ sK18 @ sK20 )
= $true )
| ( $false
= ( $false
=> ( sK8 @ sK19 @ sK18 ) ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f960]) ).
thf(f964,plain,
( ( ( sK8 @ sK18 @ sK20 )
= $true )
| ( $false = $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f963]) ).
thf(f965,plain,
( ( ( sK8 @ sK18 @ sK20 )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f964]) ).
thf(f966,plain,
( ( $false = $true )
| ( $false
= ( sK8 @ sK18 @ sK19 ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f959]) ).
thf(f967,plain,
( ( $false
= ( sK8 @ sK18 @ sK19 ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f966]) ).
thf(f996,plain,
( ( $true
= ( $true
=> ( sK8 @ sK20 @ sK18 ) ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(constrained_superposition,[],[f257,f965]) ).
thf(f998,plain,
( ! [X0: a] :
( ( ( ( sK8 @ sK20 @ X0 )
& $true )
=> ( sK8 @ sK18 @ X0 ) )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(constrained_superposition,[],[f544,f965]) ).
thf(f1001,plain,
( ! [X0: a] :
( ( ( sK8 @ sK20 @ X0 )
=> ( sK8 @ sK18 @ X0 ) )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f998]) ).
thf(f1003,plain,
( ( $true
= ( sK8 @ sK20 @ sK18 ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f996]) ).
thf(f1005,plain,
( ( $true
= ( ( sK8 @ sK19 @ sK20 )
& $true ) )
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[],[f957,f1003]) ).
thf(f1006,plain,
( ( ( sK8 @ sK19 @ sK20 )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f1005]) ).
thf(f1010,plain,
( ( ( $true
=> ( sK8 @ sK20 @ sK19 ) )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(constrained_superposition,[],[f257,f1006]) ).
thf(f1016,plain,
( ( ( sK8 @ sK20 @ sK19 )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f1010]) ).
thf(f1104,plain,
( ( ( $true
=> ( sK8 @ sK18 @ sK19 ) )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(constrained_superposition,[],[f1001,f1016]) ).
thf(f1110,plain,
( ( ( sK8 @ sK18 @ sK19 )
= $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(boolean_simplification,[],[f1104]) ).
thf(f1119,plain,
( ( $false = $true )
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1110,f967]) ).
thf(f1120,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1119]) ).
thf(f1121,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1120]) ).
thf(f1148,plain,
( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) ) )
!= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) ) ) )
| ~ spl0_5 ),
inference(equality_proxy_clausification,[],[f200]) ).
thf(f1335,plain,
( ( ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y4 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y4 ) ) ) ) ) )
@ sK21 )
!= ( ^ [Y0: a > a > $o,Y1: a > a > $o] :
( ( Y0 = Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y4 @ Y3 ) )
=> ( Y0 @ Y4 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
@ sK21 ) )
| ~ spl0_5 ),
inference(negative_extensionality,[],[f1148]) ).
thf(f1336,plain,
( ( ( ^ [Y0: a > a > $o] :
( ( sK21 = Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK21 @ Y1 @ Y2 )
=> ( sK21 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK21 @ Y2 @ Y3 )
& ( sK21 @ Y1 @ Y2 ) )
=> ( sK21 @ Y1 @ Y3 ) ) ) ) ) ) )
!= ( ^ [Y0: a > a > $o] :
( ( sK21 = Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK21 @ Y2 @ Y1 )
& ( sK21 @ Y3 @ Y2 ) )
=> ( sK21 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK21 @ Y1 @ Y2 )
=> ( sK21 @ Y2 @ Y1 ) ) ) ) ) ) )
| ~ spl0_5 ),
inference(beta-eta_normalization,[],[f1335]) ).
thf(f1437,plain,
( ( ( ^ [Y0: a > a > $o] :
( ( sK21 = Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK21 @ Y2 @ Y1 )
& ( sK21 @ Y3 @ Y2 ) )
=> ( sK21 @ Y3 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK21 @ Y1 @ Y2 )
=> ( sK21 @ Y2 @ Y1 ) ) ) ) )
@ sK22 )
!= ( ^ [Y0: a > a > $o] :
( ( sK21 = Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK21 @ Y1 @ Y2 )
=> ( sK21 @ Y2 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK21 @ Y2 @ Y3 )
& ( sK21 @ Y1 @ Y2 ) )
=> ( sK21 @ Y1 @ Y3 ) ) ) ) ) )
@ sK22 ) )
| ~ spl0_5 ),
inference(negative_extensionality,[],[f1336]) ).
thf(f1438,plain,
( ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) )
!= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_5 ),
inference(beta-eta_normalization,[],[f1437]) ).
thf(f1439,plain,
( ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_5 ),
inference(xor_proxy_clausification,[],[f1438]) ).
thf(f1440,plain,
( ( $false
= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) ) )
| ( $false
= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_5 ),
inference(xor_proxy_clausification,[],[f1438]) ).
thf(f1442,definition,
( spl0_28
<=> ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f1444,plain,
( ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1442]) ).
thf(f1446,definition,
( spl0_29
<=> ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f1448,plain,
( ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) )
= $true )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1446]) ).
thf(f1449,plain,
( spl0_28
| spl0_29
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1439,f198,f1446,f1442]) ).
thf(f1451,definition,
( spl0_30
<=> ( $false
= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f1453,plain,
( ( $false
= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1451]) ).
thf(f1455,definition,
( spl0_31
<=> ( $false
= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f1457,plain,
( ( $false
= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f1455]) ).
thf(f1458,plain,
( spl0_30
| spl0_31
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1440,f198,f1455,f1451]) ).
thf(f1461,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
= $true )
| ~ spl0_28 ),
inference(and_proxy_clausification,[],[f1444]) ).
thf(f1462,plain,
( ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl0_28 ),
inference(and_proxy_clausification,[],[f1444]) ).
thf(f1463,plain,
( ( $false
= ( ( sK21 = sK22 )
& $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_31 ),
inference(backward_demodulation,[],[f1457,f1461]) ).
thf(f1466,plain,
( ( $false
= ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_31 ),
inference(boolean_simplification,[],[f1463]) ).
thf(f1498,plain,
( ( $false
= ( sK21 = sK22 ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) )
= $false )
| ~ spl0_28
| ~ spl0_31 ),
inference(and_proxy_clausification,[],[f1466]) ).
thf(f1500,definition,
( spl0_32
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f1501,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) )
!= $false )
| spl0_32 ),
inference(avatar_component_clause,[],[f1500]) ).
thf(f1502,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) ) )
= $false )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f1500]) ).
thf(f1504,definition,
( spl0_33
<=> ( $false
= ( sK21 = sK22 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f1506,plain,
( ( $false
= ( sK21 = sK22 ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1504]) ).
thf(f1507,plain,
( spl0_32
| spl0_33
| ~ spl0_28
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f1498,f1455,f1442,f1504,f1500]) ).
thf(f1510,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) )
@ sK23 ) )
| ~ spl0_32 ),
inference(sigma_proxy_clausification,[],[f1502]) ).
thf(f1511,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ Y1 )
& ( sK21 @ sK23 @ Y0 ) )
=> ( sK21 @ sK23 @ Y1 ) ) ) ) )
| ~ spl0_32 ),
inference(beta-eta_normalization,[],[f1510]) ).
thf(f1512,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ Y1 )
& ( sK21 @ sK23 @ Y0 ) )
=> ( sK21 @ sK23 @ Y1 ) ) )
@ sK24 ) )
| ~ spl0_32 ),
inference(sigma_proxy_clausification,[],[f1511]) ).
thf(f1513,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK21 @ sK24 @ Y0 )
& ( sK21 @ sK23 @ sK24 ) )
=> ( sK21 @ sK23 @ Y0 ) ) ) )
| ~ spl0_32 ),
inference(beta-eta_normalization,[],[f1512]) ).
thf(f1514,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK21 @ sK24 @ Y0 )
& ( sK21 @ sK23 @ sK24 ) )
=> ( sK21 @ sK23 @ Y0 ) )
@ sK25 ) )
| ~ spl0_32 ),
inference(sigma_proxy_clausification,[],[f1513]) ).
thf(f1515,plain,
( ( $false
= ( ( ( sK21 @ sK24 @ sK25 )
& ( sK21 @ sK23 @ sK24 ) )
=> ( sK21 @ sK23 @ sK25 ) ) )
| ~ spl0_32 ),
inference(beta-eta_normalization,[],[f1514]) ).
thf(f1516,plain,
( ( $false
= ( sK21 @ sK23 @ sK25 ) )
| ~ spl0_32 ),
inference(imp_proxy_clausification,[],[f1515]) ).
thf(f1517,plain,
( ( ( ( sK21 @ sK24 @ sK25 )
& ( sK21 @ sK23 @ sK24 ) )
= $true )
| ~ spl0_32 ),
inference(imp_proxy_clausification,[],[f1515]) ).
thf(f1533,plain,
( ( ( sK21 @ sK23 @ sK24 )
= $true )
| ~ spl0_32 ),
inference(and_proxy_clausification,[],[f1517]) ).
thf(f1534,plain,
( ( ( sK21 @ sK24 @ sK25 )
= $true )
| ~ spl0_32 ),
inference(and_proxy_clausification,[],[f1517]) ).
thf(f1555,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_28 ),
inference(and_proxy_clausification,[],[f1462]) ).
thf(f1556,plain,
( ( ( sK21 = sK22 )
= $true )
| ~ spl0_28 ),
inference(and_proxy_clausification,[],[f1462]) ).
thf(f1559,plain,
( ( sK22 = sK21 )
| ~ spl0_28 ),
inference(equality_proxy_clausification,[],[f1556]) ).
thf(f1589,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl0_28 ),
inference(pi_proxy_clausification,[],[f1555]) ).
thf(f1590,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ X1 )
& ( sK21 @ Y1 @ Y0 ) )
=> ( sK21 @ Y1 @ X1 ) ) ) )
= $true )
| ~ spl0_28 ),
inference(beta-eta_normalization,[],[f1589]) ).
thf(f1591,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ X1 )
& ( sK21 @ Y1 @ Y0 ) )
=> ( sK21 @ Y1 @ X1 ) ) )
@ X2 )
= $true )
| ~ spl0_28 ),
inference(pi_proxy_clausification,[],[f1590]) ).
thf(f1592,plain,
( ! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK21 @ X2 @ X1 )
& ( sK21 @ Y0 @ X2 ) )
=> ( sK21 @ Y0 @ X1 ) ) )
= $true )
| ~ spl0_28 ),
inference(beta-eta_normalization,[],[f1591]) ).
thf(f1593,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK21 @ X2 @ X1 )
& ( sK21 @ Y0 @ X2 ) )
=> ( sK21 @ Y0 @ X1 ) )
@ X3 )
= $true )
| ~ spl0_28 ),
inference(pi_proxy_clausification,[],[f1592]) ).
thf(f1594,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ( ( sK21 @ X2 @ X1 )
& ( sK21 @ X3 @ X2 ) )
=> ( sK21 @ X3 @ X1 ) )
= $true )
| ~ spl0_28 ),
inference(beta-eta_normalization,[],[f1593]) ).
thf(f1606,plain,
( ! [X0: a] :
( ( ( ( sK21 @ sK24 @ X0 )
& $true )
=> ( sK21 @ sK23 @ X0 ) )
= $true )
| ~ spl0_28
| ~ spl0_32 ),
inference(constrained_superposition,[],[f1594,f1533]) ).
thf(f1625,plain,
( ! [X0: a] :
( ( ( sK21 @ sK24 @ X0 )
=> ( sK21 @ sK23 @ X0 ) )
= $true )
| ~ spl0_28
| ~ spl0_32 ),
inference(boolean_simplification,[],[f1606]) ).
thf(f1660,plain,
( ( ( ( sK21 @ sK24 @ sK25 )
=> $false )
= $true )
| ~ spl0_28
| ~ spl0_32 ),
inference(constrained_superposition,[],[f1625,f1516]) ).
thf(f1667,plain,
( ( ( ~ ( sK21 @ sK24 @ sK25 ) )
= $true )
| ~ spl0_28
| ~ spl0_32 ),
inference(boolean_simplification,[],[f1660]) ).
thf(f1673,plain,
( ( ( ~ $true ) = $true )
| ~ spl0_28
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1667,f1534]) ).
thf(f1674,plain,
( ( $false = $true )
| ~ spl0_28
| ~ spl0_32 ),
inference(boolean_simplification,[],[f1673]) ).
thf(f1675,plain,
( $false
| ~ spl0_28
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1674]) ).
thf(f1676,plain,
( ~ spl0_28
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1675]) ).
thf(f1677,plain,
( ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
& $false )
= $true )
| ~ spl0_29
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1448,f1502]) ).
thf(f1678,plain,
( ( $false = $true )
| ~ spl0_29
| ~ spl0_32 ),
inference(boolean_simplification,[],[f1677]) ).
thf(f1679,plain,
( $false
| ~ spl0_29
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1678]) ).
thf(f1680,plain,
( ~ spl0_29
| ~ spl0_32 ),
inference(avatar_contradiction_clause,[],[f1679]) ).
thf(f1685,plain,
( ( $false = $true )
| ~ spl0_29
| ~ spl0_31 ),
inference(backward_demodulation,[],[f1448,f1457]) ).
thf(f1686,plain,
( $false
| ~ spl0_29
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1685]) ).
thf(f1687,plain,
( ~ spl0_29
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1686]) ).
thf(f1717,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y2 )
& ( sK21 @ Y0 @ Y1 ) )
=> ( sK21 @ Y0 @ Y2 ) ) ) )
@ X1 )
= $true )
| spl0_32 ),
inference(pi_proxy_clausification,[],[f1501]) ).
thf(f1718,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ Y1 )
& ( sK21 @ X1 @ Y0 ) )
=> ( sK21 @ X1 @ Y1 ) ) ) )
= $true )
| spl0_32 ),
inference(beta-eta_normalization,[],[f1717]) ).
thf(f1719,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ Y1 )
& ( sK21 @ X1 @ Y0 ) )
=> ( sK21 @ X1 @ Y1 ) ) )
@ X2 )
= $true )
| spl0_32 ),
inference(pi_proxy_clausification,[],[f1718]) ).
thf(f1720,plain,
( ! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK21 @ X2 @ Y0 )
& ( sK21 @ X1 @ X2 ) )
=> ( sK21 @ X1 @ Y0 ) ) )
= $true )
| spl0_32 ),
inference(beta-eta_normalization,[],[f1719]) ).
thf(f1721,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK21 @ X2 @ Y0 )
& ( sK21 @ X1 @ X2 ) )
=> ( sK21 @ X1 @ Y0 ) )
@ X3 )
= $true )
| spl0_32 ),
inference(pi_proxy_clausification,[],[f1720]) ).
thf(f1722,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ( ( sK21 @ X2 @ X3 )
& ( sK21 @ X1 @ X2 ) )
=> ( sK21 @ X1 @ X3 ) )
= $true )
| spl0_32 ),
inference(beta-eta_normalization,[],[f1721]) ).
thf(f1771,plain,
( ( ( ( sK21 = sK22 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) )
= $true )
| ~ spl0_29 ),
inference(and_proxy_clausification,[],[f1448]) ).
thf(f1777,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) )
= $true )
| ~ spl0_29 ),
inference(and_proxy_clausification,[],[f1771]) ).
thf(f1778,plain,
( ( ( sK21 = sK22 )
= $true )
| ~ spl0_29 ),
inference(and_proxy_clausification,[],[f1771]) ).
thf(f1780,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_29
| ~ spl0_30 ),
inference(backward_demodulation,[],[f1453,f1778]) ).
thf(f1782,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(boolean_simplification,[],[f1780]) ).
thf(f1783,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& $true ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1782,f1777]) ).
thf(f1784,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(boolean_simplification,[],[f1783]) ).
thf(f1832,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) )
@ sK29 ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(sigma_proxy_clausification,[],[f1784]) ).
thf(f1833,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ sK29 )
& ( sK21 @ Y1 @ Y0 ) )
=> ( sK21 @ Y1 @ sK29 ) ) ) ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(beta-eta_normalization,[],[f1832]) ).
thf(f1834,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK21 @ Y0 @ sK29 )
& ( sK21 @ Y1 @ Y0 ) )
=> ( sK21 @ Y1 @ sK29 ) ) )
@ sK30 ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(sigma_proxy_clausification,[],[f1833]) ).
thf(f1835,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK21 @ sK30 @ sK29 )
& ( sK21 @ Y0 @ sK30 ) )
=> ( sK21 @ Y0 @ sK29 ) ) ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(beta-eta_normalization,[],[f1834]) ).
thf(f1836,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK21 @ sK30 @ sK29 )
& ( sK21 @ Y0 @ sK30 ) )
=> ( sK21 @ Y0 @ sK29 ) )
@ sK31 ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(sigma_proxy_clausification,[],[f1835]) ).
thf(f1837,plain,
( ( $false
= ( ( ( sK21 @ sK30 @ sK29 )
& ( sK21 @ sK31 @ sK30 ) )
=> ( sK21 @ sK31 @ sK29 ) ) )
| ~ spl0_29
| ~ spl0_30 ),
inference(beta-eta_normalization,[],[f1836]) ).
thf(f1838,plain,
( ( $false = $true )
| ~ spl0_29
| ~ spl0_30
| spl0_32 ),
inference(forward_demodulation,[],[f1837,f1722]) ).
thf(f1839,plain,
( $false
| ~ spl0_29
| ~ spl0_30
| spl0_32 ),
inference(trivial_inequality_removal,[],[f1838]) ).
thf(f1840,plain,
( ~ spl0_29
| ~ spl0_30
| spl0_32 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
thf(f1968,plain,
( ( $false
= ( sK21 = sK21 ) )
| ~ spl0_28
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1506,f1559]) ).
thf(f1969,plain,
( ( $false = $true )
| ~ spl0_28
| ~ spl0_33 ),
inference(boolean_simplification,[],[f1968]) ).
thf(f1970,plain,
( $false
| ~ spl0_28
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f1969]) ).
thf(f1971,plain,
( ~ spl0_28
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f1970]) ).
thf(f2049,plain,
( ( $false
= ( ( sK21 = sK21 )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1453,f1559]) ).
thf(f2050,plain,
( ( ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) )
= $false )
| ~ spl0_28
| ~ spl0_30 ),
inference(boolean_simplification,[],[f2049]) ).
thf(f2051,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK21 @ Y1 @ Y0 )
& ( sK21 @ Y2 @ Y1 ) )
=> ( sK21 @ Y2 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_30 ),
inference(boolean_simplification,[],[f2050]) ).
thf(f2060,plain,
( ( $false
= ( $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl0_28
| ~ spl0_30 ),
inference(forward_demodulation,[],[f2051,f1555]) ).
thf(f2061,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK21 @ Y0 @ Y1 )
=> ( sK21 @ Y1 @ Y0 ) ) ) ) )
| ~ spl0_28
| ~ spl0_30 ),
inference(boolean_simplification,[],[f2060]) ).
thf(f2064,plain,
( ( $false = $true )
| ~ spl0_28
| ~ spl0_30 ),
inference(backward_demodulation,[],[f1461,f2061]) ).
thf(f2065,plain,
( $false
| ~ spl0_28
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f2064]) ).
thf(f2066,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f2065]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f19]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f39]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f137]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f187]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f205]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f227]) ).
cnf(s8,plain,
( ~ spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f239]) ).
cnf(s10,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(sat_conversion,[],[f335]) ).
cnf(s20,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f887]) ).
cnf(s24,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f1121]) ).
cnf(s28,plain,
( ~ spl0_5
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s29,plain,
( ~ spl0_5
| spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f1458]) ).
cnf(s30,plain,
( ~ spl0_28
| ~ spl0_31
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s34,plain,
( ~ spl0_28
| ~ spl0_32 ),
inference(sat_conversion,[],[f1676]) ).
cnf(s35,plain,
( ~ spl0_29
| ~ spl0_32 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s36,plain,
( ~ spl0_29
| ~ spl0_31 ),
inference(sat_conversion,[],[f1687]) ).
cnf(s41,plain,
( ~ spl0_29
| ~ spl0_30
| spl0_32 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s42,plain,
( ~ spl0_28
| ~ spl0_33 ),
inference(sat_conversion,[],[f1971]) ).
cnf(s47,plain,
( ~ spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f2066]) ).
cnf(s48,plain,
~ spl0_6,
inference(rat,[],[s8,s7,s10,s20,s24]) ).
cnf(s49,plain,
( ~ spl0_29
| ~ spl0_5 ),
inference(rat,[],[s41,s29,s35,s36]) ).
cnf(s50,plain,
( spl0_29
| ~ spl0_5 ),
inference(rat,[],[s29,s30,s34,s42,s47,s28]) ).
cnf(s51,plain,
~ spl0_5,
inference(rat,[],[s50,s49]) ).
cnf(s52,plain,
~ spl0_2,
inference(rat,[],[s6,s48,s51]) ).
cnf(s53,plain,
spl0_1,
inference(rat,[],[s1,s52]) ).
cnf(s54,plain,
~ spl0_4,
inference(rat,[],[s5,s53]) ).
cnf(s55,plain,
~ spl0_3,
inference(rat,[],[s4,s53]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s54,s55,s53]) ).
thf(f2067,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV040^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 15:04:36 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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
% 0.76/0.40 % (2779884)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.40 % (2779889)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2328391192:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.40 % (2779891)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1925021301:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.40 % (2779890)lrs+10_16_si=on:nwc=1.5:random_seed=2372835469:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.40 % (2779891)Instruction limit reached!
% 0.76/0.40 % (2779891)------------------------------
% 0.76/0.40 % (2779891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2779891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2779891)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2779891)Termination reason: Instruction limit
% 0.76/0.40 % (2779891)Termination phase: Property scanning
% 0.76/0.40 % (2779891)Time elapsed: 0.003 s
% 0.76/0.40 % (2779891)Peak memory usage: 10 MB
% 0.76/0.40 % (2779891)Instructions burned: 6 (million)
% 0.76/0.40 % (2779894)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1983717341:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.40 % (2779890)Instruction limit reached!
% 0.76/0.40 % (2779890)------------------------------
% 0.76/0.40 % (2779890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2779890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2779890)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2779890)Termination reason: Instruction limit
% 0.76/0.40 % (2779890)Termination phase: Saturation
% 0.76/0.40 % (2779890)Time elapsed: 0.009 s
% 0.76/0.40 % (2779890)Peak memory usage: 12 MB
% 0.76/0.40 % (2779890)Instructions burned: 18 (million)
% 0.76/0.40 % (2779895)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.40 % (2779895)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
% 0.76/0.40 % (2779892)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=1745113160: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)
% 0.76/0.40 % (2779893)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2718909841:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.40 % (2779889)Instruction limit reached!
% 0.76/0.40 % (2779889)------------------------------
% 0.76/0.40 % (2779889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2779889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2779889)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2779889)Termination reason: Instruction limit
% 0.76/0.40 % (2779889)Termination phase: Saturation
% 0.76/0.40 % (2779889)Time elapsed: 0.022 s
% 0.76/0.40 % (2779889)Peak memory usage: 13 MB
% 0.76/0.40 % (2779889)Instructions burned: 91 (million)
% 0.76/0.40 % (2779895)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=1109948942:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.40 % (2779904)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.40 % (2779904)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1947432134:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.40 % (2779904)Instruction limit reached!
% 0.76/0.40 % (2779904)------------------------------
% 0.76/0.40 % (2779904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.40 % (2779904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.40 % (2779904)CaDiCaL version: 2.1.3
% 0.76/0.40 % (2779904)Termination reason: Instruction limit
% 0.76/0.40 % (2779904)Termination phase: Saturation
% 0.76/0.40 % (2779904)Time elapsed: 0.003 s
% 0.76/0.43 % (2779904)Peak memory usage: 12 MB
% 0.76/0.43 % (2779904)Instructions burned: 11 (million)
% 0.76/0.43 % (2779901)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3511211848:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.43 % (2779901)Instruction limit reached!
% 0.76/0.43 % (2779901)------------------------------
% 0.76/0.43 % (2779901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2779901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2779901)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2779901)Termination reason: Instruction limit
% 0.76/0.43 % (2779901)Termination phase: Property scanning
% 0.76/0.43 % (2779901)Time elapsed: 0.003 s
% 0.76/0.43 % (2779901)Peak memory usage: 10 MB
% 0.76/0.43 % (2779901)Instructions burned: 6 (million)
% 0.76/0.43 % (2779893)Instruction limit reached!
% 0.76/0.43 % (2779893)------------------------------
% 0.76/0.43 % (2779893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2779893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2779893)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2779893)Termination reason: Instruction limit
% 0.76/0.43 % (2779893)Termination phase: Saturation
% 0.76/0.43 % (2779893)Time elapsed: 0.021 s
% 0.76/0.43 % (2779893)Peak memory usage: 12 MB
% 0.76/0.43 % (2779893)Instructions burned: 24 (million)
% 0.76/0.43 % (2779908)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=54176268:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.43 % (2779899)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2387504662:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.43 % (2779908)Instruction limit reached!
% 0.76/0.43 % (2779908)------------------------------
% 0.76/0.43 % (2779908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2779908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2779908)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2779908)Termination reason: Instruction limit
% 0.76/0.43 % (2779908)Termination phase: Saturation
% 0.76/0.43 % (2779908)Time elapsed: 0.003 s
% 0.76/0.43 % (2779908)Peak memory usage: 12 MB
% 0.76/0.43 % (2779908)Instructions burned: 13 (million)
% 0.76/0.43 % (2779899)Instruction limit reached!
% 0.76/0.43 % (2779899)------------------------------
% 0.76/0.43 % (2779899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2779899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2779899)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2779899)Termination reason: Instruction limit
% 0.76/0.43 % (2779899)Termination phase: Preprocessing 3
% 0.76/0.43 % (2779899)Time elapsed: 0.001 s
% 0.76/0.43 % (2779899)Peak memory usage: 10 MB
% 0.76/0.43 % (2779899)Instructions burned: 3 (million)
% 0.76/0.43 % (2779894)Instruction limit reached!
% 0.76/0.43 % (2779894)------------------------------
% 0.76/0.43 % (2779894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2779894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (2779894)CaDiCaL version: 2.1.3
% 0.76/0.43 % (2779894)Termination reason: Instruction limit
% 0.76/0.43 % (2779894)Termination phase: Saturation
% 0.76/0.43 % (2779894)Time elapsed: 0.036 s
% 0.76/0.43 % (2779894)Peak memory usage: 13 MB
% 0.76/0.43 % (2779894)Instructions burned: 75 (million)
% 0.76/0.43 % (2779909)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
% 0.76/0.43 % (2779909)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.43 % (2779909)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2176752844:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.43 % (2779913)lrs+10_1_si=on:cs=on:random_seed=726781004:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.43 % (2779913)Instruction limit reached!
% 0.76/0.43 % (2779913)------------------------------
% 0.76/0.43 % (2779913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (2779913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2779913)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2779913)Termination reason: Instruction limit
% 0.76/0.46 % (2779913)Termination phase: Saturation
% 0.76/0.46 % (2779913)Time elapsed: 0.002 s
% 0.76/0.46 % (2779913)Peak memory usage: 11 MB
% 0.76/0.46 % (2779913)Instructions burned: 10 (million)
% 0.76/0.46 % (2779914)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.46 % (2779914)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=240483117:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.46 % (2779909)Instruction limit reached!
% 0.76/0.46 % (2779909)------------------------------
% 0.76/0.46 % (2779909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (2779909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (2779909)CaDiCaL version: 2.1.3
% 0.76/0.46 % (2779909)Termination reason: Instruction limit
% 0.76/0.46 % (2779909)Termination phase: Saturation
% 0.76/0.47 % (2779909)Time elapsed: 0.013 s
% 0.76/0.47 % (2779909)Peak memory usage: 11 MB
% 0.76/0.47 % (2779909)Instructions burned: 30 (million)
% 0.76/0.47 % (2779918)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=402668908:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.76/0.47 % (2779914)Instruction limit reached!
% 0.76/0.47 % (2779914)------------------------------
% 0.76/0.47 % (2779914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.47 % (2779914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.47 % (2779914)CaDiCaL version: 2.1.3
% 0.76/0.47 % (2779914)Termination reason: Instruction limit
% 0.76/0.47 % (2779914)Termination phase: Saturation
% 0.76/0.47 % (2779914)Time elapsed: 0.003 s
% 0.76/0.47 % (2779914)Peak memory usage: 11 MB
% 0.76/0.47 % (2779914)Instructions burned: 5 (million)
% 0.76/0.47 % (2779910)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=11099969:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.47 % (2779921)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=570192719:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.76/0.47 % (2779922)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3224200564:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.76/0.47 % (2779915)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3028813187:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.47 % (2779922)Instruction limit reached!
% 0.76/0.47 % (2779922)------------------------------
% 0.76/0.47 % (2779922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.47 % (2779922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.47 % (2779922)CaDiCaL version: 2.1.3
% 0.76/0.47 % (2779922)Termination reason: Instruction limit
% 0.76/0.47 % (2779922)Termination phase: Saturation
% 0.76/0.47 % (2779922)Time elapsed: 0.007 s
% 0.76/0.47 % (2779922)Peak memory usage: 12 MB
% 0.76/0.47 % (2779922)Instructions burned: 14 (million)
% 0.76/0.47 % (2779921)Instruction limit reached!
% 0.76/0.47 % (2779921)------------------------------
% 0.76/0.47 % (2779921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.47 % (2779921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.47 % (2779921)CaDiCaL version: 2.1.3
% 0.76/0.47 % (2779921)Termination reason: Instruction limit
% 0.76/0.47 % (2779921)Termination phase: Saturation
% 0.76/0.47 % (2779921)Time elapsed: 0.013 s
% 0.76/0.47 % (2779921)Peak memory usage: 12 MB
% 0.76/0.47 % (2779921)Instructions burned: 26 (million)
% 0.76/0.47 % (2779927)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2071251394:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.76/0.47 % (2779928)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3097453075:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.47 % (2779928)Instruction limit reached!
% 0.76/0.47 % (2779928)------------------------------
% 1.53/0.53 % (2779928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (2779928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (2779928)CaDiCaL version: 2.1.3
% 1.53/0.53 % (2779928)Termination reason: Instruction limit
% 1.53/0.53 % (2779928)Termination phase: Saturation
% 1.53/0.53 % (2779928)Time elapsed: 0.007 s
% 1.53/0.53 % (2779928)Peak memory usage: 12 MB
% 1.53/0.53 % (2779928)Instructions burned: 14 (million)
% 1.53/0.53 % (2779918)Instruction limit reached!
% 1.53/0.53 % (2779918)------------------------------
% 1.53/0.53 % (2779918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (2779918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (2779918)CaDiCaL version: 2.1.3
% 1.53/0.53 % (2779918)Termination reason: Instruction limit
% 1.53/0.53 % (2779918)Termination phase: Saturation
% 1.53/0.53 % (2779918)Time elapsed: 0.060 s
% 1.53/0.53 % (2779918)Peak memory usage: 14 MB
% 1.53/0.53 % (2779918)Instructions burned: 250 (million)
% 1.53/0.53 % (2779915)Instruction limit reached!
% 1.53/0.53 % (2779915)------------------------------
% 1.53/0.53 % (2779915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (2779915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (2779915)CaDiCaL version: 2.1.3
% 1.53/0.53 % (2779915)Termination reason: Instruction limit
% 1.53/0.53 % (2779915)Termination phase: Saturation
% 1.53/0.53 % (2779915)Time elapsed: 0.037 s
% 1.53/0.53 % (2779915)Peak memory usage: 12 MB
% 1.53/0.53 % (2779915)Instructions burned: 38 (million)
% 1.53/0.53 % (2779895)Instruction limit reached!
% 1.53/0.53 % (2779895)------------------------------
% 1.53/0.53 % (2779895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (2779895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (2779895)CaDiCaL version: 2.1.3
% 1.53/0.53 % (2779895)Termination reason: Instruction limit
% 1.53/0.53 % (2779895)Termination phase: Saturation
% 1.53/0.53 % (2779895)Time elapsed: 0.117 s
% 1.53/0.53 % (2779895)Peak memory usage: 13 MB
% 1.53/0.53 % (2779895)Instructions burned: 158 (million)
% 1.53/0.53 % (2779932)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1097199170:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.53/0.53 % (2779932)Instruction limit reached!
% 1.53/0.53 % (2779932)------------------------------
% 1.53/0.53 % (2779932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (2779932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (2779932)CaDiCaL version: 2.1.3
% 1.53/0.53 % (2779932)Termination reason: Instruction limit
% 1.53/0.53 % (2779932)Termination phase: Saturation
% 1.53/0.53 % (2779932)Time elapsed: 0.007 s
% 1.53/0.53 % (2779932)Peak memory usage: 12 MB
% 1.53/0.53 % (2779932)Instructions burned: 27 (million)
% 1.53/0.53 % (2779931)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=433426610:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.53/0.53 % (2779910)Instruction limit reached!
% 1.53/0.53 % (2779910)------------------------------
% 1.53/0.53 % (2779910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (2779910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (2779910)CaDiCaL version: 2.1.3
% 1.53/0.53 % (2779910)Termination reason: Instruction limit
% 1.53/0.53 % (2779910)Termination phase: Saturation
% 1.53/0.53 % (2779910)Time elapsed: 0.076 s
% 1.53/0.53 % (2779910)Peak memory usage: 13 MB
% 1.53/0.53 % (2779910)Instructions burned: 86 (million)
% 1.53/0.53 % (2779931)Instruction limit reached!
% 1.53/0.53 % (2779931)------------------------------
% 1.53/0.53 % (2779931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.53 % (2779931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.53 % (2779931)CaDiCaL version: 2.1.3
% 1.53/0.53 % (2779931)Termination reason: Instruction limit
% 1.53/0.53 % (2779931)Termination phase: Property scanning
% 1.53/0.53 % (2779931)Time elapsed: 0.002 s
% 1.53/0.53 % (2779931)Peak memory usage: 10 MB
% 1.53/0.53 % (2779931)Instructions burned: 4 (million)
% 1.53/0.53 % (2779938)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.53/0.53 % (2779933)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3987148548:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.60 % (2779938)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=3180058001:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.53/0.60 % (2779938)Instruction limit reached!
% 1.53/0.60 % (2779938)------------------------------
% 1.53/0.60 % (2779938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.60 % (2779938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.60 % (2779938)CaDiCaL version: 2.1.3
% 1.53/0.60 % (2779938)Termination reason: Instruction limit
% 1.53/0.60 % (2779938)Termination phase: Saturation
% 1.53/0.60 % (2779938)Time elapsed: 0.002 s
% 1.53/0.60 % (2779938)Peak memory usage: 11 MB
% 1.53/0.60 % (2779938)Instructions burned: 8 (million)
% 1.53/0.60 % (2779937)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.53/0.60 % (2779937)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.53/0.60 % (2779937)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=692196782:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.60 % (2779939)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=2542068956:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.53/0.60 % (2779942)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4206143908:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.53/0.60 % (2779937)Instruction limit reached!
% 1.53/0.60 % (2779937)------------------------------
% 1.53/0.60 % (2779937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.60 % (2779937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.60 % (2779937)CaDiCaL version: 2.1.3
% 1.53/0.60 % (2779937)Termination reason: Instruction limit
% 1.53/0.60 % (2779937)Termination phase: Saturation
% 1.53/0.60 % (2779937)Time elapsed: 0.008 s
% 1.53/0.60 % (2779937)Peak memory usage: 12 MB
% 1.53/0.60 % (2779937)Instructions burned: 14 (million)
% 1.53/0.60 % (2779942)Instruction limit reached!
% 1.53/0.60 % (2779942)------------------------------
% 1.53/0.60 % (2779942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.60 % (2779942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.60 % (2779942)CaDiCaL version: 2.1.3
% 1.53/0.60 % (2779942)Termination reason: Instruction limit
% 1.53/0.60 % (2779942)Termination phase: Saturation
% 1.53/0.60 % (2779942)Time elapsed: 0.002 s
% 1.53/0.60 % (2779942)Peak memory usage: 11 MB
% 1.53/0.60 % (2779942)Instructions burned: 9 (million)
% 1.53/0.60 % (2779939)Instruction limit reached!
% 1.53/0.60 % (2779939)------------------------------
% 1.53/0.60 % (2779939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.60 % (2779939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.60 % (2779939)CaDiCaL version: 2.1.3
% 1.53/0.60 % (2779939)Termination reason: Instruction limit
% 1.53/0.60 % (2779939)Termination phase: Saturation
% 1.53/0.60 % (2779939)Time elapsed: 0.014 s
% 1.53/0.60 % (2779939)Peak memory usage: 12 MB
% 1.53/0.60 % (2779939)Instructions burned: 33 (million)
% 1.53/0.60 % (2779934)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=613767753:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.53/0.60 % (2779947)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1402527446:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.53/0.60 % (2779947)Instruction limit reached!
% 1.53/0.60 % (2779947)------------------------------
% 1.53/0.60 % (2779947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.60 % (2779947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.60 % (2779947)CaDiCaL version: 2.1.3
% 2.57/0.70 % (2779947)Termination reason: Instruction limit
% 2.57/0.70 % (2779947)Termination phase: Saturation
% 2.57/0.70 % (2779947)Time elapsed: 0.005 s
% 2.57/0.70 % (2779947)Peak memory usage: 12 MB
% 2.57/0.70 % (2779947)Instructions burned: 22 (million)
% 2.57/0.70 % (2779946)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=724602685:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.57/0.70 % (2779933)Instruction limit reached!
% 2.57/0.70 % (2779933)------------------------------
% 2.57/0.70 % (2779933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.70 % (2779933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.70 % (2779933)CaDiCaL version: 2.1.3
% 2.57/0.70 % (2779933)Termination reason: Instruction limit
% 2.57/0.70 % (2779933)Termination phase: Saturation
% 2.57/0.70 % (2779933)Time elapsed: 0.038 s
% 2.57/0.70 % (2779933)Peak memory usage: 12 MB
% 2.57/0.70 % (2779933)Instructions burned: 23 (million)
% 2.57/0.70 % (2779951)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1917101931:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.57/0.70 % (2779946)Instruction limit reached!
% 2.57/0.70 % (2779946)------------------------------
% 2.57/0.70 % (2779946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.70 % (2779946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.70 % (2779946)CaDiCaL version: 2.1.3
% 2.57/0.70 % (2779946)Termination reason: Instruction limit
% 2.57/0.70 % (2779946)Termination phase: Saturation
% 2.57/0.70 % (2779946)Time elapsed: 0.009 s
% 2.57/0.70 % (2779946)Peak memory usage: 11 MB
% 2.57/0.70 % (2779946)Instructions burned: 23 (million)
% 2.57/0.70 % (2779949)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4027337384:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.57/0.70 % (2779955)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3936047324:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.57/0.70 % (2779934)Instruction limit reached!
% 2.57/0.70 % (2779934)------------------------------
% 2.57/0.70 % (2779934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.70 % (2779934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.70 % (2779934)CaDiCaL version: 2.1.3
% 2.57/0.70 % (2779934)Termination reason: Instruction limit
% 2.57/0.70 % (2779934)Termination phase: Saturation
% 2.57/0.70 % (2779934)Time elapsed: 0.049 s
% 2.57/0.70 % (2779934)Peak memory usage: 12 MB
% 2.57/0.70 % (2779934)Instructions burned: 62 (million)
% 2.57/0.70 % (2779953)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=570322128:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.57/0.70 % (2779951)Instruction limit reached!
% 2.57/0.70 % (2779951)------------------------------
% 2.57/0.70 % (2779951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.70 % (2779951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.70 % (2779951)CaDiCaL version: 2.1.3
% 2.57/0.70 % (2779951)Termination reason: Instruction limit
% 2.57/0.70 % (2779951)Termination phase: Saturation
% 2.57/0.70 % (2779951)Time elapsed: 0.036 s
% 2.57/0.70 % (2779951)Peak memory usage: 13 MB
% 2.57/0.70 % (2779951)Instructions burned: 144 (million)
% 2.57/0.70 % (2779955)Instruction limit reached!
% 2.57/0.70 % (2779955)------------------------------
% 2.57/0.70 % (2779955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.70 % (2779955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.70 % (2779955)CaDiCaL version: 2.1.3
% 2.57/0.70 % (2779955)Termination reason: Instruction limit
% 2.57/0.70 % (2779955)Termination phase: Saturation
% 2.57/0.70 % (2779955)Time elapsed: 0.021 s
% 2.57/0.70 % (2779955)Peak memory usage: 12 MB
% 2.57/0.70 % (2779955)Instructions burned: 42 (million)
% 2.57/0.70 % (2779960)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1871917464:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.57/0.70 % (2779958)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.57/0.70 % (2779958)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3367239785:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.57/0.80 % (2779958)Instruction limit reached!
% 2.57/0.80 % (2779958)------------------------------
% 2.57/0.80 % (2779958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (2779958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (2779958)CaDiCaL version: 2.1.3
% 2.57/0.80 % (2779958)Termination reason: Instruction limit
% 2.57/0.80 % (2779958)Termination phase: Saturation
% 2.57/0.80 % (2779958)Time elapsed: 0.004 s
% 2.57/0.80 % (2779958)Peak memory usage: 11 MB
% 2.57/0.80 % (2779958)Instructions burned: 8 (million)
% 2.57/0.80 % (2779961)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=1301853273: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)
% 2.57/0.80 % (2779927)Instruction limit reached!
% 2.57/0.80 % (2779927)------------------------------
% 2.57/0.80 % (2779927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (2779927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (2779927)CaDiCaL version: 2.1.3
% 2.57/0.80 % (2779927)Termination reason: Instruction limit
% 2.57/0.80 % (2779927)Termination phase: Saturation
% 2.57/0.80 % (2779927)Time elapsed: 0.151 s
% 2.57/0.80 % (2779927)Peak memory usage: 15 MB
% 2.57/0.80 % (2779927)Instructions burned: 328 (million)
% 2.57/0.80 % (2779964)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.57/0.80 % (2779964)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3072070242:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.57/0.80 % (2779964)Instruction limit reached!
% 2.57/0.80 % (2779964)------------------------------
% 2.57/0.80 % (2779964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (2779964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (2779964)CaDiCaL version: 2.1.3
% 2.57/0.80 % (2779964)Termination reason: Instruction limit
% 2.57/0.80 % (2779964)Termination phase: Saturation
% 2.57/0.80 % (2779964)Time elapsed: 0.003 s
% 2.57/0.80 % (2779964)Peak memory usage: 11 MB
% 2.57/0.80 % (2779964)Instructions burned: 6 (million)
% 2.57/0.80 % (2779966)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2914066341:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.57/0.80 % (2779960)Instruction limit reached!
% 2.57/0.80 % (2779960)------------------------------
% 2.57/0.80 % (2779960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (2779960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (2779960)CaDiCaL version: 2.1.3
% 2.57/0.80 % (2779960)Termination reason: Instruction limit
% 2.57/0.80 % (2779960)Termination phase: Saturation
% 2.57/0.80 % (2779960)Time elapsed: 0.044 s
% 2.57/0.80 % (2779960)Peak memory usage: 14 MB
% 2.57/0.80 % (2779960)Instructions burned: 182 (million)
% 2.57/0.80 % (2779966)Instruction limit reached!
% 2.57/0.80 % (2779966)------------------------------
% 2.57/0.80 % (2779966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.57/0.80 % (2779966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/0.80 % (2779966)CaDiCaL version: 2.1.3
% 2.57/0.80 % (2779966)Termination reason: Instruction limit
% 2.57/0.80 % (2779966)Termination phase: Saturation
% 2.57/0.80 % (2779966)Time elapsed: 0.012 s
% 2.57/0.80 % (2779966)Peak memory usage: 12 MB
% 2.57/0.80 % (2779966)Instructions burned: 24 (million)
% 2.57/0.80 % (2779970)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=254779391:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.57/0.80 % (2779971)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=1714620090:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.57/0.80 % (2779969)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4087095473:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.37/0.98 % (2779969)Instruction limit reached!
% 3.37/0.98 % (2779969)------------------------------
% 3.37/0.98 % (2779969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.98 % (2779969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.98 % (2779969)CaDiCaL version: 2.1.3
% 3.37/0.98 % (2779969)Termination reason: Instruction limit
% 3.37/0.98 % (2779969)Termination phase: Saturation
% 3.37/0.98 % (2779969)Time elapsed: 0.020 s
% 3.37/0.98 % (2779969)Peak memory usage: 12 MB
% 3.37/0.98 % (2779969)Instructions burned: 20 (million)
% 3.37/0.98 % (2779961)Instruction limit reached!
% 3.37/0.98 % (2779961)------------------------------
% 3.37/0.98 % (2779961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.98 % (2779961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.98 % (2779961)CaDiCaL version: 2.1.3
% 3.37/0.98 % (2779961)Termination reason: Instruction limit
% 3.37/0.98 % (2779961)Termination phase: Saturation
% 3.37/0.98 % (2779961)Time elapsed: 0.080 s
% 3.37/0.98 % (2779961)Peak memory usage: 14 MB
% 3.37/0.98 % (2779961)Instructions burned: 169 (million)
% 3.37/0.98 % (2779976)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4087713170:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.37/0.98 % (2779975)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=3812427599:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.37/0.98 % (2779975)Instruction limit reached!
% 3.37/0.98 % (2779975)------------------------------
% 3.37/0.98 % (2779975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.98 % (2779975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.98 % (2779975)CaDiCaL version: 2.1.3
% 3.37/0.98 % (2779975)Termination reason: Instruction limit
% 3.37/0.98 % (2779975)Termination phase: Saturation
% 3.37/0.98 % (2779975)Time elapsed: 0.022 s
% 3.37/0.98 % (2779975)Peak memory usage: 12 MB
% 3.37/0.98 % (2779975)Instructions burned: 46 (million)
% 3.37/0.98 % (2779970)Instruction limit reached!
% 3.37/0.98 % (2779970)------------------------------
% 3.37/0.98 % (2779970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.98 % (2779970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.98 % (2779970)CaDiCaL version: 2.1.3
% 3.37/0.98 % (2779970)Termination reason: Instruction limit
% 3.37/0.98 % (2779970)Termination phase: Saturation
% 3.37/0.98 % (2779970)Time elapsed: 0.087 s
% 3.37/0.98 % (2779970)Peak memory usage: 14 MB
% 3.37/0.98 % (2779970)Instructions burned: 318 (million)
% 3.37/0.98 % (2779953)Instruction limit reached!
% 3.37/0.98 % (2779953)------------------------------
% 3.37/0.98 % (2779953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.98 % (2779953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.98 % (2779953)CaDiCaL version: 2.1.3
% 3.37/0.98 % (2779953)Termination reason: Instruction limit
% 3.37/0.98 % (2779953)Termination phase: Saturation
% 3.37/0.98 % (2779953)Time elapsed: 0.164 s
% 3.37/0.98 % (2779953)Peak memory usage: 13 MB
% 3.37/0.98 % (2779953)Instructions burned: 193 (million)
% 3.37/0.98 % (2779980)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.37/0.98 % (2779980)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3940352449:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 3.37/0.98 % (2779979)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2905228773:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 3.37/0.98 % (2779979)Instruction limit reached!
% 3.37/0.98 % (2779979)------------------------------
% 3.37/0.98 % (2779979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.37/0.98 % (2779979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/0.98 % (2779979)CaDiCaL version: 2.1.3
% 3.37/0.98 % (2779979)Termination reason: Instruction limit
% 3.37/0.98 % (2779979)Termination phase: Saturation
% 3.37/0.98 % (2779979)Time elapsed: 0.019 s
% 5.06/1.17 % (2779979)Peak memory usage: 12 MB
% 5.06/1.17 % (2779979)Instructions burned: 21 (million)
% 5.06/1.17 % (2779982)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2553842875:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 5.06/1.17 % (2779982)Instruction limit reached!
% 5.06/1.17 % (2779982)------------------------------
% 5.06/1.17 % (2779982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.06/1.17 % (2779982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.06/1.17 % (2779982)CaDiCaL version: 2.1.3
% 5.06/1.17 % (2779982)Termination reason: Instruction limit
% 5.06/1.17 % (2779982)Termination phase: Saturation
% 5.06/1.17 % (2779982)Time elapsed: 0.007 s
% 5.06/1.17 % (2779982)Peak memory usage: 12 MB
% 5.06/1.17 % (2779982)Instructions burned: 14 (million)
% 5.06/1.17 % (2779984)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=1775173494:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 5.06/1.17 % (2779984)Instruction limit reached!
% 5.06/1.17 % (2779984)------------------------------
% 5.06/1.17 % (2779984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.06/1.17 % (2779986)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2990419839:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 5.06/1.17 % (2779984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.06/1.17 % (2779984)CaDiCaL version: 2.1.3
% 5.06/1.17 % (2779984)Termination reason: Instruction limit
% 5.06/1.17 % (2779984)Termination phase: Saturation
% 5.06/1.17 % (2779984)Time elapsed: 0.017 s
% 5.06/1.17 % (2779984)Peak memory usage: 13 MB
% 5.06/1.17 % (2779984)Instructions burned: 69 (million)
% 5.06/1.17 % (2779989)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3118702363:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 5.06/1.17 % (2779989)Instruction limit reached!
% 5.06/1.17 % (2779989)------------------------------
% 5.06/1.17 % (2779989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.06/1.17 % (2779989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.17 % (2779989)CaDiCaL version: 2.1.3
% 5.65/1.17 % (2779989)Termination reason: Instruction limit
% 5.65/1.17 % (2779989)Termination phase: Saturation
% 5.65/1.17 % (2779989)Time elapsed: 0.007 s
% 5.65/1.17 % (2779989)Peak memory usage: 12 MB
% 5.65/1.17 % (2779989)Instructions burned: 32 (million)
% 5.65/1.17 % (2779986)Instruction limit reached!
% 5.65/1.17 % (2779986)------------------------------
% 5.65/1.17 % (2779986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.17 % (2779986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.17 % (2779986)CaDiCaL version: 2.1.3
% 5.65/1.17 % (2779986)Termination reason: Instruction limit
% 5.65/1.17 % (2779986)Termination phase: Saturation
% 5.65/1.17 % (2779986)Time elapsed: 0.024 s
% 5.65/1.17 % (2779986)Peak memory usage: 12 MB
% 5.65/1.17 % (2779986)Instructions burned: 53 (million)
% 5.65/1.17 % (2779991)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=733000893:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.65/1.17 % (2779992)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=329196547:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.65/1.17 % (2779992)Instruction limit reached!
% 5.65/1.17 % (2779992)------------------------------
% 5.65/1.17 % (2779992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.17 % (2779992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.17 % (2779992)CaDiCaL version: 2.1.3
% 5.65/1.17 % (2779992)Termination reason: Instruction limit
% 5.65/1.17 % (2779992)Termination phase: Saturation
% 5.65/1.17 % (2779992)Time elapsed: 0.017 s
% 5.65/1.17 % (2779992)Peak memory usage: 12 MB
% 5.65/1.17 % (2779992)Instructions burned: 36 (million)
% 5.65/1.17 % (2779991)Instruction limit reached!
% 5.65/1.17 % (2779991)------------------------------
% 5.65/1.17 % (2779991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.17 % (2779991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.21 % (2779991)CaDiCaL version: 2.1.3
% 5.72/1.21 % (2779991)Termination reason: Instruction limit
% 5.72/1.21 % (2779991)Termination phase: Saturation
% 5.72/1.21 % (2779991)Time elapsed: 0.033 s
% 5.72/1.21 % (2779991)Peak memory usage: 12 MB
% 5.72/1.21 % (2779991)Instructions burned: 141 (million)
% 5.72/1.21 % (2779996)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.72/1.21 % (2779996)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3999044119:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.72/1.21 % (2779980)Instruction limit reached!
% 5.72/1.21 % (2779980)------------------------------
% 5.72/1.21 % (2779980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.21 % (2779980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.21 % (2779980)CaDiCaL version: 2.1.3
% 5.72/1.21 % (2779980)Termination reason: Instruction limit
% 5.72/1.21 % (2779980)Termination phase: Saturation
% 5.72/1.21 % (2779980)Time elapsed: 0.141 s
% 5.72/1.21 % (2779980)Peak memory usage: 12 MB
% 5.72/1.21 % (2779980)Instructions burned: 200 (million)
% 5.72/1.21 % (2779995)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=54058484:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 5.72/1.21 % (2779999)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1416904517:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.72/1.21 % (2779995)Instruction limit reached!
% 5.72/1.21 % (2779995)------------------------------
% 5.72/1.21 % (2779995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.21 % (2779995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.21 % (2779995)CaDiCaL version: 2.1.3
% 5.72/1.21 % (2779995)Termination reason: Instruction limit
% 5.72/1.21 % (2779995)Termination phase: Saturation
% 5.72/1.21 % (2779995)Time elapsed: 0.031 s
% 5.72/1.21 % (2779995)Peak memory usage: 12 MB
% 5.72/1.21 % (2779995)Instructions burned: 69 (million)
% 5.72/1.21 % (2779892)Instruction limit reached!
% 5.72/1.21 % (2779892)------------------------------
% 5.72/1.21 % (2779892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.21 % (2779892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.21 % (2779892)CaDiCaL version: 2.1.3
% 5.72/1.21 % (2779892)Termination reason: Instruction limit
% 5.72/1.21 % (2779892)Termination phase: Saturation
% 5.72/1.21 % (2779892)Time elapsed: 0.580 s
% 5.72/1.21 % (2779892)Peak memory usage: 14 MB
% 5.72/1.21 % (2779892)Instructions burned: 635 (million)
% 5.72/1.21 % (2780001)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3712702512:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.72/1.21 % (2780002)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2328214176:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.72/1.21 % (2779996)Instruction limit reached!
% 5.72/1.21 % (2779996)------------------------------
% 5.72/1.21 % (2779996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.21 % (2779996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.21 % (2779996)CaDiCaL version: 2.1.3
% 5.72/1.21 % (2779996)Termination reason: Instruction limit
% 5.72/1.21 % (2779996)Termination phase: Saturation
% 5.72/1.21 % (2779996)Time elapsed: 0.124 s
% 5.72/1.21 % (2779996)Peak memory usage: 12 MB
% 5.72/1.21 % (2779996)Instructions burned: 182 (million)
% 5.72/1.21 % (2780005)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2334298145:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 5.72/1.21 % (2780001)Instruction limit reached!
% 5.72/1.21 % (2780001)------------------------------
% 5.72/1.21 % (2780001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.21 % (2780001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.21 % (2780001)CaDiCaL version: 2.1.3
% 5.72/1.21 % (2780001)Termination reason: Instruction limit
% 5.72/1.21 % (2780001)Termination phase: Saturation
% 5.72/1.21 % (2780001)Time elapsed: 0.081 s
% 5.72/1.21 % (2780001)Peak memory usage: 12 MB
% 5.72/1.21 % (2780001)Instructions burned: 97 (million)
% 5.72/1.21 % (2780007)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=77743119:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 6.08/1.30 % (2779976)Instruction limit reached!
% 6.08/1.30 % (2779976)------------------------------
% 6.08/1.30 % (2779976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (2779976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (2779976)CaDiCaL version: 2.1.3
% 6.08/1.30 % (2779976)Termination reason: Instruction limit
% 6.08/1.30 % (2779976)Termination phase: Saturation
% 6.08/1.30 % (2779976)Time elapsed: 0.350 s
% 6.08/1.30 % (2779976)Peak memory usage: 14 MB
% 6.08/1.30 % (2779976)Instructions burned: 481 (million)
% 6.08/1.30 % (2779999)Instruction limit reached!
% 6.08/1.30 % (2779999)------------------------------
% 6.08/1.30 % (2779999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (2779999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (2779999)CaDiCaL version: 2.1.3
% 6.08/1.30 % (2779999)Termination reason: Instruction limit
% 6.08/1.30 % (2779999)Termination phase: Saturation
% 6.08/1.30 % (2779999)Time elapsed: 0.193 s
% 6.08/1.30 % (2779999)Peak memory usage: 14 MB
% 6.08/1.30 % (2779999)Instructions burned: 247 (million)
% 6.08/1.30 % (2780009)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1348630511:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.08/1.30 % (2780010)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3000426401:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 6.08/1.30 % (2780010)Instruction limit reached!
% 6.08/1.30 % (2780010)------------------------------
% 6.08/1.30 % (2780010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (2780010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (2780010)CaDiCaL version: 2.1.3
% 6.08/1.30 % (2780010)Termination reason: Instruction limit
% 6.08/1.30 % (2780010)Termination phase: Saturation
% 6.08/1.30 % (2780010)Time elapsed: 0.032 s
% 6.08/1.30 % (2780010)Peak memory usage: 12 MB
% 6.08/1.30 % (2780010)Instructions burned: 44 (million)
% 6.08/1.30 % (2780013)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1388195910:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 6.08/1.30 % (2780002)Instruction limit reached!
% 6.08/1.30 % (2780002)------------------------------
% 6.08/1.30 % (2780002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (2780002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (2780002)CaDiCaL version: 2.1.3
% 6.08/1.30 % (2780002)Termination reason: Instruction limit
% 6.08/1.30 % (2780002)Termination phase: Saturation
% 6.08/1.30 % (2780002)Time elapsed: 0.240 s
% 6.08/1.30 % (2780002)Peak memory usage: 16 MB
% 6.08/1.30 % (2780002)Instructions burned: 428 (million)
% 6.08/1.30 % (2780009)Instruction limit reached!
% 6.08/1.30 % (2780009)------------------------------
% 6.08/1.30 % (2780009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (2780009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (2780009)CaDiCaL version: 2.1.3
% 6.08/1.30 % (2780009)Termination reason: Instruction limit
% 6.08/1.30 % (2780009)Termination phase: Saturation
% 6.08/1.30 % (2780009)Time elapsed: 0.111 s
% 6.08/1.30 % (2780009)Peak memory usage: 12 MB
% 6.08/1.30 % (2780009)Instructions burned: 130 (million)
% 6.08/1.30 % (2780013)Refutation not found, incomplete strategy
% 6.08/1.30 % (2780013)------------------------------
% 6.08/1.30 % (2780013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.30 % (2780013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.30 % (2780013)CaDiCaL version: 2.1.3
% 6.08/1.30 % (2780013)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.30 % (2780013)Time elapsed: 0.026 s
% 6.08/1.30 % (2780013)Peak memory usage: 13 MB
% 6.08/1.30 % (2780013)Instructions burned: 49 (million)
% 6.08/1.30 % (2780013)------------------------------
% 6.08/1.30 % (2780013)------------------------------
% 6.08/1.30 % (2780016)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2732943962:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 6.08/1.30 % (2780005)Instruction limit reached!
% 6.08/1.30 % (2780005)------------------------------
% 6.08/1.30 % (2780005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.44 % (2780005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.44 % (2780005)CaDiCaL version: 2.1.3
% 6.35/1.44 % (2780005)Termination reason: Instruction limit
% 6.35/1.44 % (2780005)Termination phase: Saturation
% 6.35/1.44 % (2780005)Time elapsed: 0.216 s
% 6.35/1.44 % (2780005)Peak memory usage: 19 MB
% 6.35/1.44 % (2780005)Instructions burned: 875 (million)
% 6.35/1.44 % (2779949)Instruction limit reached!
% 6.35/1.44 % (2779949)------------------------------
% 6.35/1.44 % (2779949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.44 % (2779949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.44 % (2779949)CaDiCaL version: 2.1.3
% 6.35/1.44 % (2779949)Termination reason: Instruction limit
% 6.35/1.44 % (2779949)Termination phase: Saturation
% 6.35/1.44 % (2779949)Time elapsed: 0.686 s
% 6.35/1.44 % (2779949)Peak memory usage: 16 MB
% 6.35/1.44 % (2779949)Instructions burned: 1240 (million)
% 6.35/1.44 % (2780018)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=332922132:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2990 on theBenchmark for (2990ds/65Mi)
% 6.35/1.44 % (2780020)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=3976100466:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2990 on theBenchmark for (2990ds/105Mi)
% 6.35/1.44 % (2780017)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1801459289:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 6.35/1.44 % (2779971)Instruction limit reached!
% 6.35/1.44 % (2779971)------------------------------
% 6.35/1.44 % (2779971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.44 % (2779971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.44 % (2779971)CaDiCaL version: 2.1.3
% 6.35/1.44 % (2779971)Termination reason: Instruction limit
% 6.35/1.44 % (2779971)Termination phase: Saturation
% 6.35/1.44 % (2779971)Time elapsed: 0.594 s
% 6.35/1.44 % (2779971)Peak memory usage: 19 MB
% 6.35/1.44 % (2779971)Instructions burned: 853 (million)
% 6.35/1.44 % (2780021)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=1933692192:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2990 on theBenchmark for (2990ds/5755Mi)
% 6.35/1.44 % (2780018)Instruction limit reached!
% 6.35/1.44 % (2780018)------------------------------
% 6.35/1.44 % (2780018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.44 % (2780018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.44 % (2780018)CaDiCaL version: 2.1.3
% 6.35/1.44 % (2780018)Termination reason: Instruction limit
% 6.35/1.44 % (2780018)Termination phase: Saturation
% 6.35/1.44 % (2780018)Time elapsed: 0.034 s
% 6.35/1.44 % (2780018)Peak memory usage: 12 MB
% 6.35/1.44 % (2780018)Instructions burned: 66 (million)
% 6.35/1.44 % (2780026)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2333885757:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/375Mi)
% 6.35/1.44 % (2780021)Refutation not found, incomplete strategy
% 6.35/1.44 % (2780021)------------------------------
% 6.35/1.44 % (2780021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.44 % (2780021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.44 % (2780021)CaDiCaL version: 2.1.3
% 6.35/1.44 % (2780021)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.44 % (2780021)Time elapsed: 0.021 s
% 6.35/1.44 % (2780021)Peak memory usage: 13 MB
% 6.35/1.44 % (2780021)Instructions burned: 38 (million)
% 6.35/1.44 % (2780021)------------------------------
% 6.35/1.44 % (2780021)------------------------------
% 6.35/1.44 % (2780020)Instruction limit reached!
% 6.35/1.44 % (2780020)------------------------------
% 6.35/1.44 % (2780020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.44 % (2780020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.44 % (2780020)CaDiCaL version: 2.1.3
% 6.35/1.44 % (2780020)Termination reason: Instruction limit
% 6.35/1.46 % (2780020)Termination phase: Saturation
% 6.35/1.46 % (2780020)Time elapsed: 0.034 s
% 6.35/1.46 % (2780020)Peak memory usage: 12 MB
% 6.35/1.46 % (2780020)Instructions burned: 108 (million)
% 6.35/1.46 % (2780028)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3519669571:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/495Mi)
% 6.35/1.46 % (2780030)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=710470497:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 6.35/1.46 % (2780031)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2909645077:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 6.35/1.46 % (2780017)Instruction limit reached!
% 6.35/1.46 % (2780017)------------------------------
% 6.35/1.46 % (2780017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780017)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780017)Termination reason: Instruction limit
% 6.35/1.46 % (2780017)Termination phase: Saturation
% 6.35/1.46 % (2780017)Time elapsed: 0.063 s
% 6.35/1.46 % (2780017)Peak memory usage: 13 MB
% 6.35/1.46 % (2780017)Instructions burned: 96 (million)
% 6.35/1.46 % (2780030)Instruction limit reached!
% 6.35/1.46 % (2780030)------------------------------
% 6.35/1.46 % (2780030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780030)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780030)Termination reason: Instruction limit
% 6.35/1.46 % (2780030)Termination phase: Saturation
% 6.35/1.46 % (2780030)Time elapsed: 0.017 s
% 6.35/1.46 % (2780030)Peak memory usage: 12 MB
% 6.35/1.46 % (2780030)Instructions burned: 36 (million)
% 6.35/1.46 % (2780035)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2626784907:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 6.35/1.46 % (2780036)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=565324506:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 6.35/1.46 % (2780036)Instruction limit reached!
% 6.35/1.46 % (2780036)------------------------------
% 6.35/1.46 % (2780036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780036)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780036)Termination reason: Instruction limit
% 6.35/1.46 % (2780036)Termination phase: Saturation
% 6.35/1.46 % (2780036)Time elapsed: 0.026 s
% 6.35/1.46 % (2780036)Peak memory usage: 12 MB
% 6.35/1.46 % (2780036)Instructions burned: 23 (million)
% 6.35/1.46 % (2780031)Instruction limit reached!
% 6.35/1.46 % (2780031)------------------------------
% 6.35/1.46 % (2780031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780031)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780031)Termination reason: Instruction limit
% 6.35/1.46 % (2780031)Termination phase: Saturation
% 6.35/1.46 % (2780031)Time elapsed: 0.064 s
% 6.35/1.46 % (2780031)Peak memory usage: 13 MB
% 6.35/1.46 % (2780031)Instructions burned: 91 (million)
% 6.35/1.46 % (2780007)Instruction limit reached!
% 6.35/1.46 % (2780007)------------------------------
% 6.35/1.46 % (2780007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780007)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780007)Termination reason: Instruction limit
% 6.35/1.46 % (2780007)Termination phase: Saturation
% 6.35/1.46 % (2780007)Time elapsed: 0.319 s
% 6.35/1.46 % (2780007)Peak memory usage: 14 MB
% 6.35/1.46 % (2780007)Instructions burned: 515 (million)
% 6.35/1.46 % (2780035)Instruction limit reached!
% 6.35/1.46 % (2780035)------------------------------
% 6.35/1.46 % (2780035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780035)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780035)Termination reason: Instruction limit
% 6.35/1.46 % (2780035)Termination phase: Saturation
% 6.35/1.46 % (2780035)Time elapsed: 0.037 s
% 6.35/1.46 % (2780035)Peak memory usage: 12 MB
% 6.35/1.46 % (2780035)Instructions burned: 66 (million)
% 6.35/1.46 % (2780039)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=3313896877:i=338:bd=all:ins=4:rtra=on_2989 on theBenchmark for (2989ds/338Mi)
% 6.35/1.46 % (2780040)lrs+10_1_sil=128000:si=on:urr=on:random_seed=316860940:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 6.35/1.46 % (2780041)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.35/1.46 % (2780040)Instruction limit reached!
% 6.35/1.46 % (2780040)------------------------------
% 6.35/1.46 % (2780040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780040)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780040)Termination reason: Instruction limit
% 6.35/1.46 % (2780040)Termination phase: Saturation
% 6.35/1.46 % (2780040)Time elapsed: 0.015 s
% 6.35/1.46 % (2780040)Peak memory usage: 12 MB
% 6.35/1.46 % (2780040)Instructions burned: 30 (million)
% 6.35/1.46 % (2780041)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2398799842:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 6.35/1.46 % (2780042)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=1273396692:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 6.35/1.46 % (2780026)Instruction limit reached!
% 6.35/1.46 % (2780026)------------------------------
% 6.35/1.46 % (2780026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780026)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780026)Termination reason: Instruction limit
% 6.35/1.46 % (2780026)Termination phase: Saturation
% 6.35/1.46 % (2780026)Time elapsed: 0.135 s
% 6.35/1.46 % (2780026)Peak memory usage: 14 MB
% 6.35/1.46 % (2780026)Instructions burned: 376 (million)
% 6.35/1.46 % (2780045)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1370648014:i=227:sd=1:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/227Mi)
% 6.35/1.46 % (2780048)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.35/1.46 % (2780048)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2705980999:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/373Mi)
% 6.35/1.46 % (2780048)Instruction limit reached!
% 6.35/1.46 % (2780048)------------------------------
% 6.35/1.46 % (2780048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780048)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780048)Termination reason: Instruction limit
% 6.35/1.46 % (2780048)Termination phase: Saturation
% 6.35/1.46 % (2780048)Time elapsed: 0.083 s
% 6.35/1.46 % (2780048)Peak memory usage: 13 MB
% 6.35/1.46 % (2780048)Instructions burned: 376 (million)
% 6.35/1.46 % (2780041)Instruction limit reached!
% 6.35/1.46 % (2780041)------------------------------
% 6.35/1.46 % (2780041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780041)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780041)Termination reason: Instruction limit
% 6.35/1.46 % (2780041)Termination phase: Saturation
% 6.35/1.46 % (2780041)Time elapsed: 0.107 s
% 6.35/1.46 % (2780041)Peak memory usage: 12 MB
% 6.35/1.46 % (2780041)Instructions burned: 137 (million)
% 6.35/1.46 % (2780039) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2779884-2780039"...
% 6.35/1.46 % (2780028)Instruction limit reached!
% 6.35/1.46 % (2780028)------------------------------
% 6.35/1.46 % (2780028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780028)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780028)Termination reason: Instruction limit
% 6.35/1.46 % (2780028)Termination phase: Saturation
% 6.35/1.46 % (2780028)Time elapsed: 0.220 s
% 6.35/1.46 % (2780028)Peak memory usage: 16 MB
% 6.35/1.46 % (2780028)Instructions burned: 495 (million)
% 6.35/1.46 % (2780051)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=674037166:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 6.35/1.46 % (2780045)Instruction limit reached!
% 6.35/1.46 % (2780045)------------------------------
% 6.35/1.46 % (2780045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.46 % (2780045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.46 % (2780045)CaDiCaL version: 2.1.3
% 6.35/1.46 % (2780045)Termination reason: Instruction limit
% 6.35/1.46 % (2780045)Termination phase: Saturation
% 6.35/1.46 % (2780045)Time elapsed: 0.105 s
% 6.35/1.46 % (2780045)Peak memory usage: 15 MB
% 6.35/1.46 % (2780045)Instructions burned: 228 (million)
% 6.35/1.46 % (2780039)...printing done.
% 6.35/1.46 % (2780039)Refutation found. Thanks to Tanya!
% 6.35/1.46 % SZS status Theorem for theBenchmark
% 6.35/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 6.35/1.47 % (2780039)------------------------------
% 6.35/1.47 % (2780039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.35/1.47 % (2780039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.47 % (2780039)CaDiCaL version: 2.1.3
% 6.35/1.47 % (2780039)Termination reason: Refutation
% 6.35/1.47 % (2780039)Time elapsed: 0.141 s
% 6.35/1.47 % (2780039)Peak memory usage: 14 MB
% 6.35/1.47 % (2780039)Instructions burned: 273 (million)
% 6.35/1.47 % (2779884)Success in time 1.216 s
% 6.35/1.47 % Vampire exiting
%------------------------------------------------------------------------------