%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV041^5 : 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 : n001.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 26.55s 4.12s
% Output : Refutation 26.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 19
% Syntax : Number of formulae : 337 ( 47 unt; 0 typ; 18 def)
% Number of atoms : 3001 ( 498 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 7591 ( 269 ~; 442 |; 254 &;5235 @)
% ( 18 <=>; 536 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 478 ( 478 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 77 usr; 39 con; 0-4 aty)
% ( 837 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1361 ( 0 sgn 383 !; 0 ?;1361 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vNOT: $o > $o ).
thf(func_def_2,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
vIMP: $o > $o > $o ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_11,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK0: a > b > b > $o ).
thf(func_def_18,type,
sK1: a > a > $o ).
thf(func_def_19,type,
sK2: a > b > b > $o ).
thf(func_def_20,type,
sK3: a > a > $o ).
thf(func_def_22,type,
sK5: a > b ).
thf(func_def_23,type,
sK6: a > b ).
thf(func_def_24,type,
sK7: a ).
thf(func_def_25,type,
sK8: a ).
thf(func_def_26,type,
sK9: a ).
thf(func_def_27,type,
sK10: a ).
thf(func_def_28,type,
sK11: a > b ).
thf(func_def_29,type,
sK12: a > b ).
thf(func_def_30,type,
sK13: a > b ).
thf(func_def_31,type,
sK14: a ).
thf(func_def_32,type,
sK15: a ).
thf(func_def_33,type,
sK16: a > b ).
thf(func_def_34,type,
sK17: ( a > b ) > ( a > b ) > a ).
thf(func_def_35,type,
sK18: ( a > b ) > ( a > b ) > a ).
thf(func_def_36,type,
sK19: a > b ).
thf(func_def_37,type,
sK20: a > b ).
thf(func_def_38,type,
sK21: a > b ).
thf(func_def_39,type,
sK22: a ).
thf(func_def_40,type,
sK23: a ).
thf(func_def_41,type,
sK24: ( a > b ) > ( a > b ) > a ).
thf(func_def_42,type,
sK25: ( a > b ) > ( a > b ) > a ).
thf(func_def_43,type,
sK26: a > b ).
thf(func_def_44,type,
sK27: a > b ).
thf(func_def_45,type,
sK28: a > b ).
thf(func_def_46,type,
sK29: a > b ).
thf(func_def_47,type,
sK30: a > b ).
thf(func_def_48,type,
sK31: a > b ).
thf(func_def_49,type,
sK32: a > b ).
thf(func_def_50,type,
sK33: a ).
thf(func_def_51,type,
sK34: a ).
thf(func_def_52,type,
sK35: a ).
thf(func_def_53,type,
sK36: a ).
thf(func_def_54,type,
sK37: a ).
thf(func_def_55,type,
sK38: a ).
thf(func_def_56,type,
sK39: a ).
thf(func_def_57,type,
sK40: a ).
thf(func_def_58,type,
sK41: a ).
thf(func_def_59,type,
sK42: a ).
thf(func_def_60,type,
sK43: ( a > b ) > ( a > b ) > a ).
thf(func_def_61,type,
sK44: ( a > b ) > ( a > b ) > a ).
thf(f1,conjecture,
! [X0: a > a > $o,X2: a > b > b > $o,X1: a > a > $o,X3: a > b > b > $o] :
( ( ( X0 = X1 )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ! [X5: a,X6: a,X4: a] :
( ( ( X0 @ X5 @ X6 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X4 @ X6 ) ) )
=> ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( ! [X8: b,X7: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) )
& ! [X6: b,X7: b,X8: b] :
( ( ( X2 @ X4 @ X7 @ X8 )
& ( X2 @ X4 @ X8 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ( ( X2 @ X4 )
= ( X2 @ X5 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ! [X7: b,X5: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) )
& ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X5: b,X7: b,X6: b] :
( ( ( X2 @ X4 @ X7 @ X5 )
& ( X2 @ X4 @ X5 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) ) ) )
=> ( ( ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) )
& ! [X5: a > b,X6: a > b,X4: a > b] :
( ( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) )
& ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) )
& ! [X5: a > b,X4: a > b] :
( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X4 @ X8 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM517_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o,X2: a > b > b > $o,X1: a > a > $o,X3: a > b > b > $o] :
( ( ( X0 = X1 )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ! [X5: a,X6: a,X4: a] :
( ( ( X0 @ X5 @ X6 )
& ( X0 @ X4 @ X5 ) )
=> ( X0 @ X4 @ X6 ) ) )
=> ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( ! [X8: b,X7: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) )
& ! [X6: b,X7: b,X8: b] :
( ( ( X2 @ X4 @ X7 @ X8 )
& ( X2 @ X4 @ X8 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ( ( X2 @ X4 )
= ( X2 @ X5 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ! [X7: b,X5: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) )
& ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X5: b,X7: b,X6: b] :
( ( ( X2 @ X4 @ X7 @ X5 )
& ( X2 @ X4 @ X5 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) ) ) )
=> ( ( ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) )
& ! [X5: a > b,X6: a > b,X4: a > b] :
( ( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) )
& ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) )
& ! [X5: a > b,X4: a > b] :
( ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X4 @ X8 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > $o,X1: a > b > b > $o,X2: a > a > $o,X3: a > b > b > $o] :
( ( ( X0 = X2 )
& ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ! [X6: a,X7: a,X8: a] :
( ( ( X0 @ X6 @ X7 )
& ( X0 @ X8 @ X6 ) )
=> ( X0 @ X8 @ X7 ) ) )
=> ( ! [X9: a,X10: a] :
( ( X0 @ X9 @ X10 )
=> ( ! [X11: b,X12: b] :
( ( X1 @ X9 @ X12 @ X11 )
=> ( X1 @ X9 @ X11 @ X12 ) )
& ! [X13: b,X14: b,X15: b] :
( ( ( X1 @ X9 @ X14 @ X15 )
& ( X1 @ X9 @ X15 @ X13 ) )
=> ( X1 @ X9 @ X14 @ X13 ) )
& ( ( X1 @ X9 )
= ( X1 @ X10 ) ) ) )
=> ( ! [X16: a] :
( ( X0 @ X16 @ X16 )
=> ( ! [X17: b,X18: b] :
( ( X1 @ X16 @ X17 @ X18 )
=> ( X1 @ X16 @ X18 @ X17 ) )
& ( ( X1 @ X16 )
= ( X3 @ X16 ) )
& ! [X19: b,X20: b,X21: b] :
( ( ( X1 @ X16 @ X20 @ X19 )
& ( X1 @ X16 @ X19 @ X21 ) )
=> ( X1 @ X16 @ X20 @ X21 ) ) ) )
=> ( ( ( ^ [X22: a > b,X23: a > b] :
! [X24: a,X25: a] :
( ( X2 @ X25 @ X24 )
=> ( X3 @ X25 @ ( X22 @ X25 ) @ ( X23 @ X24 ) ) ) )
= ( ^ [X26: a > b,X27: a > b] :
! [X28: a,X29: a] :
( ( X0 @ X28 @ X29 )
=> ( X1 @ X28 @ ( X26 @ X28 ) @ ( X27 @ X29 ) ) ) ) )
& ! [X30: a > b,X31: a > b,X32: a > b] :
( ( ! [X33: a,X34: a] :
( ( X0 @ X34 @ X33 )
=> ( X1 @ X34 @ ( X30 @ X34 ) @ ( X31 @ X33 ) ) )
& ! [X35: a,X36: a] :
( ( X0 @ X35 @ X36 )
=> ( X1 @ X35 @ ( X32 @ X35 ) @ ( X30 @ X36 ) ) ) )
=> ! [X37: a,X38: a] :
( ( X0 @ X38 @ X37 )
=> ( X1 @ X38 @ ( X32 @ X38 ) @ ( X31 @ X37 ) ) ) )
& ! [X39: a > b,X40: a > b] :
( ! [X41: a,X42: a] :
( ( X0 @ X42 @ X41 )
=> ( X1 @ X42 @ ( X40 @ X42 ) @ ( X39 @ X41 ) ) )
=> ! [X43: a,X44: a] :
( ( X0 @ X44 @ X43 )
=> ( X1 @ X44 @ ( X39 @ X44 ) @ ( X40 @ X43 ) ) ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( $true
= ( ~ ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( Y3 = Y1 ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y5 @ Y6 @ Y8 )
& ( Y2 @ Y5 @ Y7 @ Y6 ) )
=> ( Y2 @ Y5 @ Y7 @ Y8 ) ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y5 @ Y6 @ Y7 )
=> ( Y2 @ Y5 @ Y7 @ Y6 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y0 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y6 @ Y5 )
=> ( Y2 @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y0 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( Y3 = Y1 ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y5 @ Y6 @ Y8 )
& ( Y2 @ Y5 @ Y7 @ Y6 ) )
=> ( Y2 @ Y5 @ Y7 @ Y8 ) ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y5 @ Y6 @ Y7 )
=> ( Y2 @ Y5 @ Y7 @ Y6 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y0 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y6 @ Y5 )
=> ( Y2 @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y0 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( $false
= ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( Y3 = Y1 ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y5 @ Y6 @ Y8 )
& ( Y2 @ Y5 @ Y7 @ Y6 ) )
=> ( Y2 @ Y5 @ Y7 @ Y8 ) ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y5 @ Y6 @ Y7 )
=> ( Y2 @ Y5 @ Y7 @ Y6 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y0 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y6 @ Y5 )
=> ( Y2 @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y0 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y2: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( Y3 @ Y4 @ Y5 ) ) ) )
& ( Y3 = Y1 ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 @ Y4 )
=> ( ( ( Y2 @ Y5 )
= ( Y2 @ Y4 ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( !! @ b
@ ^ [Y8: b] :
( ( ( Y2 @ Y5 @ Y6 @ Y8 )
& ( Y2 @ Y5 @ Y7 @ Y6 ) )
=> ( Y2 @ Y5 @ Y7 @ Y8 ) ) ) ) )
& ( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( Y2 @ Y5 @ Y6 @ Y7 )
=> ( Y2 @ Y5 @ Y7 @ Y6 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 @ Y4 )
=> ( ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y2 @ Y4 @ Y7 @ Y5 )
& ( Y2 @ Y4 @ Y6 @ Y7 ) )
=> ( Y2 @ Y4 @ Y6 @ Y5 ) ) ) ) )
& ( ( Y2 @ Y4 )
= ( Y0 @ Y4 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y2 @ Y4 @ Y6 @ Y5 )
=> ( Y2 @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y6 @ Y7 )
=> ( Y2 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( !! @ ( a > b )
@ ^ [Y6: a > b] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y8 @ Y7 )
=> ( Y2 @ Y8 @ ( Y4 @ Y8 ) @ ( Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y6 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y3 @ Y7 @ Y8 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y8 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y0 @ Y6 @ ( Y4 @ Y6 ) @ ( Y5 @ Y7 ) ) ) ) ) )
= ( ^ [Y4: a > b,Y5: a > b] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y7 @ Y6 )
=> ( Y2 @ Y7 @ ( Y4 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f8]) ).
thf(f10,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( Y2 = Y0 ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( ( Y1 @ Y4 )
= ( Y1 @ Y3 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y4 @ Y5 @ Y7 )
& ( Y1 @ Y4 @ Y6 @ Y5 ) )
=> ( Y1 @ Y4 @ Y6 @ Y7 ) ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y4 @ Y5 @ Y6 )
=> ( Y1 @ Y4 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y1 @ Y3 @ Y6 @ Y4 )
& ( Y1 @ Y3 @ Y5 @ Y6 ) )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) ) )
& ( ( Y1 @ Y3 )
= ( sK0 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y1 @ Y3 @ Y5 @ Y4 )
=> ( Y1 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y3 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( sK0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f11,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > b > b > $o )
@ ^ [Y1: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( Y2 = Y0 ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 @ Y3 )
=> ( ( ( Y1 @ Y4 )
= ( Y1 @ Y3 ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( !! @ b
@ ^ [Y7: b] :
( ( ( Y1 @ Y4 @ Y5 @ Y7 )
& ( Y1 @ Y4 @ Y6 @ Y5 ) )
=> ( Y1 @ Y4 @ Y6 @ Y7 ) ) ) ) )
& ( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( Y1 @ Y4 @ Y5 @ Y6 )
=> ( Y1 @ Y4 @ Y6 @ Y5 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 @ Y3 )
=> ( ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y1 @ Y3 @ Y6 @ Y4 )
& ( Y1 @ Y3 @ Y5 @ Y6 ) )
=> ( Y1 @ Y3 @ Y5 @ Y4 ) ) ) ) )
& ( ( Y1 @ Y3 )
= ( sK0 @ Y3 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y1 @ Y3 @ Y5 @ Y4 )
=> ( Y1 @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y5 @ Y6 )
=> ( Y1 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( !! @ ( a > b )
@ ^ [Y5: a > b] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y7 @ Y6 )
=> ( Y1 @ Y7 @ ( Y3 @ Y7 ) @ ( Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y5 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y6 @ Y7 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y7 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( sK0 @ Y5 @ ( Y3 @ Y5 ) @ ( Y4 @ Y6 ) ) ) ) ) )
= ( ^ [Y3: a > b,Y4: a > b] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y6 @ Y5 )
=> ( Y1 @ Y6 @ ( Y3 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f10]) ).
thf(f12,plain,
( ( !! @ ( a > b > b > $o )
@ ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( Y1 = sK1 ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( ( ( Y0 @ Y3 )
= ( Y0 @ Y2 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y0 @ Y3 @ Y4 @ Y6 )
& ( Y0 @ Y3 @ Y5 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y0 @ Y3 @ Y4 @ Y5 )
=> ( Y0 @ Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y5 @ Y3 )
& ( Y0 @ Y2 @ Y4 @ Y5 ) )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) ) )
& ( ( Y0 @ Y2 )
= ( sK0 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y4 @ Y3 )
=> ( Y0 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y2 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK1 @ Y4 @ Y5 )
=> ( sK0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f11]) ).
thf(f24,plain,
( ( ^ [Y0: a > b > b > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( Y1 @ Y2 @ Y3 ) ) ) )
& ( Y1 = sK1 ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 @ Y2 )
=> ( ( ( Y0 @ Y3 )
= ( Y0 @ Y2 ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( !! @ b
@ ^ [Y6: b] :
( ( ( Y0 @ Y3 @ Y4 @ Y6 )
& ( Y0 @ Y3 @ Y5 @ Y4 ) )
=> ( Y0 @ Y3 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( Y0 @ Y3 @ Y4 @ Y5 )
=> ( Y0 @ Y3 @ Y5 @ Y4 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 @ Y2 )
=> ( ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( Y0 @ Y2 @ Y5 @ Y3 )
& ( Y0 @ Y2 @ Y4 @ Y5 ) )
=> ( Y0 @ Y2 @ Y4 @ Y3 ) ) ) ) )
& ( ( Y0 @ Y2 )
= ( sK0 @ Y2 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( Y0 @ Y2 @ Y4 @ Y3 )
=> ( Y0 @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y4 @ Y5 )
=> ( Y0 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( !! @ ( a > b )
@ ^ [Y4: a > b] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y6 @ Y5 )
=> ( Y0 @ Y6 @ ( Y2 @ Y6 ) @ ( Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y4 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y5 @ Y6 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y6 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK1 @ Y4 @ Y5 )
=> ( sK0 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) )
= ( ^ [Y2: a > b,Y3: a > b] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y5 @ Y4 )
=> ( Y0 @ Y5 @ ( Y2 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f12]) ).
thf(f27,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( Y0 = sK1 ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( ( ( sK2 @ Y2 )
= ( sK2 @ Y1 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK2 @ Y2 @ Y3 @ Y5 )
& ( sK2 @ Y2 @ Y4 @ Y3 ) )
=> ( sK2 @ Y2 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK2 @ Y2 @ Y3 @ Y4 )
=> ( sK2 @ Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK2 @ Y1 @ Y4 @ Y2 )
& ( sK2 @ Y1 @ Y3 @ Y4 ) )
=> ( sK2 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK2 @ Y1 )
= ( sK0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK2 @ Y1 @ Y3 @ Y2 )
=> ( sK2 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( sK2 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( sK2 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( sK2 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y3 @ Y4 )
=> ( sK0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f24]) ).
thf(f28,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( Y0 = sK1 ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( ( ( sK2 @ Y2 )
= ( sK2 @ Y1 ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( !! @ b
@ ^ [Y5: b] :
( ( ( sK2 @ Y2 @ Y3 @ Y5 )
& ( sK2 @ Y2 @ Y4 @ Y3 ) )
=> ( sK2 @ Y2 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( sK2 @ Y2 @ Y3 @ Y4 )
=> ( sK2 @ Y2 @ Y4 @ Y3 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 @ Y1 )
=> ( ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK2 @ Y1 @ Y4 @ Y2 )
& ( sK2 @ Y1 @ Y3 @ Y4 ) )
=> ( sK2 @ Y1 @ Y3 @ Y2 ) ) ) ) )
& ( ( sK2 @ Y1 )
= ( sK0 @ Y1 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK2 @ Y1 @ Y3 @ Y2 )
=> ( sK2 @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( !! @ ( a > b )
@ ^ [Y3: a > b] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y5 @ Y4 )
=> ( sK2 @ Y5 @ ( Y1 @ Y5 ) @ ( Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( sK2 @ Y4 @ ( Y3 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y4 @ Y5 )
=> ( sK2 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y3 @ Y4 )
=> ( sK0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) )
= ( ^ [Y1: a > b,Y2: a > b] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y1 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f27]) ).
thf(f30,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK3 = sK1 ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( ( ( sK2 @ Y1 )
= ( sK2 @ Y0 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK2 @ Y1 @ Y2 @ Y4 )
& ( sK2 @ Y1 @ Y3 @ Y2 ) )
=> ( sK2 @ Y1 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK2 @ Y1 @ Y2 @ Y3 )
=> ( sK2 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK2 @ Y0 @ Y3 @ Y1 )
& ( sK2 @ Y0 @ Y2 @ Y3 ) )
=> ( sK2 @ Y0 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK2 @ Y0 )
= ( sK0 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK2 @ Y0 @ Y2 @ Y1 )
=> ( sK2 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f28]) ).
thf(f32,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( ( ( sK2 @ Y1 )
= ( sK2 @ Y0 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK2 @ Y1 @ Y2 @ Y4 )
& ( sK2 @ Y1 @ Y3 @ Y2 ) )
=> ( sK2 @ Y1 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK2 @ Y1 @ Y2 @ Y3 )
=> ( sK2 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK2 @ Y0 @ Y3 @ Y1 )
& ( sK2 @ Y0 @ Y2 @ Y3 ) )
=> ( sK2 @ Y0 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK2 @ Y0 )
= ( sK0 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK2 @ Y0 @ Y2 @ Y1 )
=> ( sK2 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f30]) ).
thf(f33,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
& ( sK3 = sK1 ) ) ),
inference(imp_proxy_clausification,[],[f30]) ).
thf(f34,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK2 @ Y0 @ Y3 @ Y1 )
& ( sK2 @ Y0 @ Y2 @ Y3 ) )
=> ( sK2 @ Y0 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK2 @ Y0 )
= ( sK0 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK2 @ Y0 @ Y2 @ Y1 )
=> ( sK2 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) )
=> ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f32]) ).
thf(f35,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( ( ( sK2 @ Y1 )
= ( sK2 @ Y0 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK2 @ Y1 @ Y2 @ Y4 )
& ( sK2 @ Y1 @ Y3 @ Y2 ) )
=> ( sK2 @ Y1 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK2 @ Y1 @ Y2 @ Y3 )
=> ( sK2 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f32]) ).
thf(f36,plain,
( ( sK3 = sK1 )
= $true ),
inference(and_proxy_clausification,[],[f33]) ).
thf(f37,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f33]) ).
thf(f38,plain,
( $false
= ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f34]) ).
thf(f39,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK2 @ Y0 @ Y3 @ Y1 )
& ( sK2 @ Y0 @ Y2 @ Y3 ) )
=> ( sK2 @ Y0 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK2 @ Y0 )
= ( sK0 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK2 @ Y0 @ Y2 @ Y1 )
=> ( sK2 @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f34]) ).
thf(f40,plain,
sK3 = sK1,
inference(equality_proxy_clausification,[],[f36]) ).
thf(f41,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f37]) ).
thf(f42,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f37]) ).
thf(f43,plain,
( ( $false
= ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f38]) ).
thf(f44,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) )
| ( $false
= ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) )
| ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f43]) ).
thf(f45,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
| ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f44]) ).
thf(f47,definition,
( spl4_1
<=> ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f49,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f47]) ).
thf(f51,definition,
( spl4_2
<=> ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f53,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
| spl4_2 ),
inference(avatar_component_clause,[],[f51]) ).
thf(f55,definition,
( spl4_3
<=> ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f57,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) ) ) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f55]) ).
thf(f58,plain,
( spl4_1
| ~ spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f45,f55,f51,f47]) ).
thf(f59,plain,
! [X1: a] :
( ( sK1 @ X1 )
= ( sK3 @ X1 ) ),
inference(argument_congruence,[],[f40]) ).
thf(f60,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( ( ( sK2 @ Y1 )
= ( sK2 @ Y0 ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( !! @ b
@ ^ [Y4: b] :
( ( ( sK2 @ Y1 @ Y2 @ Y4 )
& ( sK2 @ Y1 @ Y3 @ Y2 ) )
=> ( sK2 @ Y1 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( sK2 @ Y1 @ Y2 @ Y3 )
=> ( sK2 @ Y1 @ Y3 @ Y2 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f61,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( ( ( sK2 @ Y0 )
= ( sK2 @ X1 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK2 @ Y0 @ Y1 @ Y3 )
& ( sK2 @ Y0 @ Y2 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK2 @ Y0 @ Y1 @ Y2 )
=> ( sK2 @ Y0 @ Y2 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f60]) ).
thf(f62,plain,
! [X2: a,X1: a] :
( ( sK3 @ X1 @ X2 )
= ( sK1 @ X1 @ X2 ) ),
inference(argument_congruence,[],[f59]) ).
thf(f63,plain,
! [X2: a,X1: a] :
( ( $true
= ( sK3 @ X1 @ X2 ) )
| ( $false
= ( sK1 @ X1 @ X2 ) ) ),
inference(iff_proxy_clausification,[],[f62]) ).
thf(f64,plain,
! [X2: a,X1: a] :
( ( $true
= ( sK1 @ X1 @ X2 ) )
| ( $false
= ( sK3 @ X1 @ X2 ) ) ),
inference(iff_proxy_clausification,[],[f62]) ).
thf(f65,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( ( ( sK2 @ Y0 )
= ( sK2 @ X1 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK2 @ Y0 @ Y1 @ Y3 )
& ( sK2 @ Y0 @ Y2 @ Y1 ) )
=> ( sK2 @ Y0 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK2 @ Y0 @ Y1 @ Y2 )
=> ( sK2 @ Y0 @ Y2 @ Y1 ) ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f61]) ).
thf(f66,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK3 @ X2 @ X1 )
=> ( ( ( sK2 @ X2 )
= ( sK2 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X2 @ Y0 @ Y2 )
& ( sK2 @ X2 @ Y1 @ Y0 ) )
=> ( sK2 @ X2 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK2 @ X2 @ Y0 @ Y1 )
=> ( sK2 @ X2 @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f65]) ).
thf(f67,plain,
! [X2: a,X1: a] :
( ( $true
= ( ( ( sK2 @ X2 )
= ( sK2 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X2 @ Y0 @ Y2 )
& ( sK2 @ X2 @ Y1 @ Y0 ) )
=> ( sK2 @ X2 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK2 @ X2 @ Y0 @ Y1 )
=> ( sK2 @ X2 @ Y1 @ Y0 ) ) ) ) ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f66]) ).
thf(f68,plain,
! [X2: a,X1: a] :
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK2 @ X2 @ Y0 @ Y1 )
=> ( sK2 @ X2 @ Y1 @ Y0 ) ) ) ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X2: a,X1: a] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( $true
= ( ( ( sK2 @ X2 )
= ( sK2 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X2 @ Y0 @ Y2 )
& ( sK2 @ X2 @ Y1 @ Y0 ) )
=> ( sK2 @ X2 @ Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f67]) ).
thf(f70,plain,
! [X2: a,X1: a] :
( ( $true
= ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X2 @ Y0 @ Y2 )
& ( sK2 @ X2 @ Y1 @ Y0 ) )
=> ( sK2 @ X2 @ Y1 @ Y2 ) ) ) ) ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f69]) ).
thf(f71,plain,
! [X2: a,X1: a] :
( ( $true
= ( ( sK2 @ X2 )
= ( sK2 @ X1 ) ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f69]) ).
thf(f72,plain,
! [X2: a,X1: a] :
( ( ( sK2 @ X1 )
= ( sK2 @ X2 ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f71]) ).
thf(f73,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK3 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f41]) ).
thf(f74,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK3 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f73]) ).
thf(f75,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK3 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f74]) ).
thf(f76,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK3 @ X2 @ X1 )
=> ( sK3 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f75]) ).
thf(f77,plain,
! [X2: a,X1: a] :
( ( $true
= ( sK3 @ X1 @ X2 ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f76]) ).
thf(f79,plain,
! [X2: a,X3: b,X1: a] :
( ( ( sK2 @ X1 @ X3 )
= ( sK2 @ X2 @ X3 ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(argument_congruence,[],[f72]) ).
thf(f84,plain,
! [X2: a,X3: b,X1: a] :
( ( ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK2 @ X2 @ Y0 @ Y1 )
=> ( sK2 @ X2 @ Y1 @ Y0 ) ) )
@ X3 )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f68]) ).
thf(f85,plain,
! [X2: a,X3: b,X1: a] :
( ( ( !! @ b
@ ^ [Y0: b] :
( ( sK2 @ X2 @ X3 @ Y0 )
=> ( sK2 @ X2 @ Y0 @ X3 ) ) )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f84]) ).
thf(f86,plain,
! [X2: a,X3: b,X1: a,X4: b] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( ^ [Y0: b] :
( ( sK2 @ X2 @ X3 @ Y0 )
=> ( sK2 @ X2 @ Y0 @ X3 ) )
@ X4 )
= $true ) ),
inference(pi_proxy_clausification,[],[f85]) ).
thf(f87,plain,
! [X2: a,X3: b,X1: a,X4: b] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( ( sK2 @ X2 @ X3 @ X4 )
=> ( sK2 @ X2 @ X4 @ X3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f86]) ).
thf(f88,plain,
! [X2: a,X3: b,X1: a,X4: b] :
( ( $false
= ( sK2 @ X2 @ X3 @ X4 ) )
| ( ( sK2 @ X2 @ X4 @ X3 )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f87]) ).
thf(f92,plain,
! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
& ( sK3 @ Y2 @ Y1 ) )
=> ( sK3 @ Y0 @ Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f93,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ X1 @ Y1 )
& ( sK3 @ Y1 @ Y0 ) )
=> ( sK3 @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f92]) ).
thf(f94,plain,
! [X2: a,X3: b,X1: a,X4: b] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( ( sK2 @ X2 @ X3 @ X4 )
= ( sK2 @ X1 @ X3 @ X4 ) ) ),
inference(argument_congruence,[],[f79]) ).
thf(f100,plain,
! [X2: a,X3: b,X1: a,X4: b] :
( ( $true
= ( sK2 @ X1 @ X3 @ X4 ) )
| ( $false
= ( sK2 @ X2 @ X3 @ X4 ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(iff_proxy_clausification,[],[f94]) ).
thf(f114,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ X1 @ Y1 )
& ( sK3 @ Y1 @ Y0 ) )
=> ( sK3 @ X1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f93]) ).
thf(f115,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ X1 @ Y0 )
& ( sK3 @ Y0 @ X2 ) )
=> ( sK3 @ X1 @ X2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f114]) ).
thf(f116,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK3 @ X1 @ Y0 )
& ( sK3 @ Y0 @ X2 ) )
=> ( sK3 @ X1 @ X2 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f115]) ).
thf(f117,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK3 @ X1 @ X3 )
& ( sK3 @ X3 @ X2 ) )
=> ( sK3 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f118,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
= ( sK3 @ X1 @ X2 ) )
| ( $false
= ( ( sK3 @ X1 @ X3 )
& ( sK3 @ X3 @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f117]) ).
thf(f119,plain,
! [X2: a,X3: a,X1: a] :
( ( $true
= ( sK3 @ X1 @ X2 ) )
| ( $false
= ( sK3 @ X3 @ X2 ) )
| ( $false
= ( sK3 @ X1 @ X3 ) ) ),
inference(and_proxy_clausification,[],[f118]) ).
thf(f122,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
@ sK5 )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
@ sK5 ) )
| spl4_2 ),
inference(negative_extensionality,[],[f53]) ).
thf(f123,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK2 @ Y2 @ ( sK5 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) ) )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK0 @ Y1 @ ( sK5 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
| spl4_2 ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f174,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ Y0 @ Y0 )
=> ( ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( !! @ b
@ ^ [Y3: b] :
( ( ( sK2 @ Y0 @ Y3 @ Y1 )
& ( sK2 @ Y0 @ Y2 @ Y3 ) )
=> ( sK2 @ Y0 @ Y2 @ Y1 ) ) ) ) )
& ( ( sK2 @ Y0 )
= ( sK0 @ Y0 ) )
& ( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( sK2 @ Y0 @ Y2 @ Y1 )
=> ( sK2 @ Y0 @ Y1 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f39]) ).
thf(f175,plain,
! [X1: a] :
( $true
= ( ( sK3 @ X1 @ X1 )
=> ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X1 @ Y2 @ Y0 )
& ( sK2 @ X1 @ Y1 @ Y2 ) )
=> ( sK2 @ X1 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK2 @ X1 )
= ( sK0 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK2 @ X1 @ Y1 @ Y0 )
=> ( sK2 @ X1 @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f174]) ).
thf(f176,plain,
! [X1: a] :
( ( $false
= ( sK3 @ X1 @ X1 ) )
| ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X1 @ Y2 @ Y0 )
& ( sK2 @ X1 @ Y1 @ Y2 ) )
=> ( sK2 @ X1 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK2 @ X1 )
= ( sK0 @ X1 ) )
& ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( sK2 @ X1 @ Y1 @ Y0 )
=> ( sK2 @ X1 @ Y0 @ Y1 ) ) ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f175]) ).
thf(f178,plain,
! [X1: a] :
( ( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X1 @ Y2 @ Y0 )
& ( sK2 @ X1 @ Y1 @ Y2 ) )
=> ( sK2 @ X1 @ Y1 @ Y0 ) ) ) ) )
& ( ( sK2 @ X1 )
= ( sK0 @ X1 ) ) )
= $true )
| ( $false
= ( sK3 @ X1 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f176]) ).
thf(f179,plain,
! [X1: a] :
( ( $false
= ( sK3 @ X1 @ X1 ) )
| ( $true
= ( ( sK2 @ X1 )
= ( sK0 @ X1 ) ) ) ),
inference(and_proxy_clausification,[],[f178]) ).
thf(f181,plain,
! [X1: a] :
( ( ( sK2 @ X1 )
= ( sK0 @ X1 ) )
| ( $false
= ( sK3 @ X1 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f179]) ).
thf(f187,plain,
! [X2: a,X3: b,X1: a] :
( ( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( !! @ b
@ ^ [Y2: b] :
( ( ( sK2 @ X2 @ Y0 @ Y2 )
& ( sK2 @ X2 @ Y1 @ Y0 ) )
=> ( sK2 @ X2 @ Y1 @ Y2 ) ) ) )
@ X3 ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f70]) ).
thf(f188,plain,
! [X2: a,X3: b,X1: a] :
( ( ( !! @ b
@ ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK2 @ X2 @ X3 @ Y1 )
& ( sK2 @ X2 @ Y0 @ X3 ) )
=> ( sK2 @ X2 @ Y0 @ Y1 ) ) ) )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f187]) ).
thf(f189,plain,
! [X2: b,X1: a] :
( ( ( sK0 @ X1 @ X2 )
= ( sK2 @ X1 @ X2 ) )
| ( $false
= ( sK3 @ X1 @ X1 ) ) ),
inference(argument_congruence,[],[f181]) ).
thf(f206,plain,
! [X2: b,X3: b,X1: a] :
( ( ( sK0 @ X1 @ X2 @ X3 )
= ( sK2 @ X1 @ X2 @ X3 ) )
| ( $false
= ( sK3 @ X1 @ X1 ) ) ),
inference(argument_congruence,[],[f189]) ).
thf(f211,plain,
! [X2: b,X3: b,X1: a] :
( ( $true
= ( sK0 @ X1 @ X2 @ X3 ) )
| ( $false
= ( sK3 @ X1 @ X1 ) )
| ( $false
= ( sK2 @ X1 @ X2 @ X3 ) ) ),
inference(iff_proxy_clausification,[],[f206]) ).
thf(f212,plain,
! [X2: b,X3: b,X1: a] :
( ( $true
= ( sK2 @ X1 @ X2 @ X3 ) )
| ( $false
= ( sK3 @ X1 @ X1 ) )
| ( $false
= ( sK0 @ X1 @ X2 @ X3 ) ) ),
inference(iff_proxy_clausification,[],[f206]) ).
thf(f213,plain,
! [X2: a,X3: b,X1: a,X4: b] :
( ( $true
= ( ^ [Y0: b] :
( !! @ b
@ ^ [Y1: b] :
( ( ( sK2 @ X2 @ X3 @ Y1 )
& ( sK2 @ X2 @ Y0 @ X3 ) )
=> ( sK2 @ X2 @ Y0 @ Y1 ) ) )
@ X4 ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f188]) ).
thf(f214,plain,
! [X2: a,X3: b,X1: a,X4: b] :
( ( ( !! @ b
@ ^ [Y0: b] :
( ( ( sK2 @ X2 @ X3 @ Y0 )
& ( sK2 @ X2 @ X4 @ X3 ) )
=> ( sK2 @ X2 @ X4 @ Y0 ) ) )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f213]) ).
thf(f215,plain,
! [X2: a,X3: b,X1: a,X4: b,X5: b] :
( ( ( ^ [Y0: b] :
( ( ( sK2 @ X2 @ X3 @ Y0 )
& ( sK2 @ X2 @ X4 @ X3 ) )
=> ( sK2 @ X2 @ X4 @ Y0 ) )
@ X5 )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f214]) ).
thf(f216,plain,
! [X2: a,X3: b,X1: a,X4: b,X5: b] :
( ( $true
= ( ( ( sK2 @ X2 @ X3 @ X5 )
& ( sK2 @ X2 @ X4 @ X3 ) )
=> ( sK2 @ X2 @ X4 @ X5 ) ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f215]) ).
thf(f217,plain,
! [X2: a,X3: b,X1: a,X4: b,X5: b] :
( ( $false
= ( sK3 @ X2 @ X1 ) )
| ( $false
= ( ( sK2 @ X2 @ X3 @ X5 )
& ( sK2 @ X2 @ X4 @ X3 ) ) )
| ( $true
= ( sK2 @ X2 @ X4 @ X5 ) ) ),
inference(imp_proxy_clausification,[],[f216]) ).
thf(f218,plain,
! [X2: a,X3: b,X1: a,X4: b,X5: b] :
( ( $true
= ( sK2 @ X2 @ X4 @ X5 ) )
| ( $false
= ( sK2 @ X2 @ X3 @ X5 ) )
| ( $false
= ( sK2 @ X2 @ X4 @ X3 ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) ),
inference(and_proxy_clausification,[],[f217]) ).
thf(f219,plain,
! [X2: b,X3: b,X0: a,X1: b,X4: a,X5: a] :
( ( $false = $true )
| ( $true
= ( sK2 @ X0 @ X2 @ X1 ) )
| ( $false
= ( sK2 @ X0 @ X3 @ X2 ) )
| ( $false
= ( sK3 @ X0 @ X4 ) )
| ( $false
= ( sK2 @ X0 @ X1 @ X3 ) )
| ( $false
= ( sK3 @ X0 @ X5 ) ) ),
inference(superposition,[],[f218,f88]) ).
thf(f223,plain,
! [X2: b,X3: b,X0: a,X1: b,X4: a,X5: a] :
( ( $true
= ( sK2 @ X0 @ X2 @ X1 ) )
| ( $false
= ( sK2 @ X0 @ X3 @ X2 ) )
| ( $false
= ( sK3 @ X0 @ X5 ) )
| ( $false
= ( sK3 @ X0 @ X4 ) )
| ( $false
= ( sK2 @ X0 @ X1 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f219]) ).
thf(f225,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK0 @ Y1 @ ( sK5 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
@ sK6 )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK2 @ Y2 @ ( sK5 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
@ sK6 ) )
| spl4_2 ),
inference(negative_extensionality,[],[f123]) ).
thf(f230,definition,
( spl4_4
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f231,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
!= $false )
| spl4_4 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f232,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $false )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f230]) ).
thf(f234,definition,
( spl4_5
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f235,plain,
( ( $false
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) )
| spl4_5 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f236,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f239,definition,
( spl4_6
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
thf(f241,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $true )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f239]) ).
thf(f243,definition,
( spl4_7
<=> ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
thf(f245,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f243]) ).
thf(f942,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) )
@ sK7 ) )
| ~ spl4_4 ),
inference(sigma_proxy_clausification,[],[f232]) ).
thf(f945,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK7 @ Y0 )
=> ( sK0 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ Y0 ) ) ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f942]) ).
thf(f946,plain,
( ( ( ^ [Y0: a] :
( ( sK1 @ sK7 @ Y0 )
=> ( sK0 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ Y0 ) ) )
@ sK8 )
= $false )
| ~ spl4_4 ),
inference(sigma_proxy_clausification,[],[f945]) ).
thf(f948,plain,
( ( $false
= ( ( sK1 @ sK7 @ sK8 )
=> ( sK0 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f946]) ).
thf(f951,plain,
( ( $true
= ( sK1 @ sK7 @ sK8 ) )
| ~ spl4_4 ),
inference(imp_proxy_clausification,[],[f948]) ).
thf(f952,plain,
( ( $false = $true )
| ~ spl4_4
| ~ spl4_6 ),
inference(forward_demodulation,[],[f241,f232]) ).
thf(f953,plain,
( $false
| ~ spl4_4
| ~ spl4_6 ),
inference(trivial_inequality_removal,[],[f952]) ).
thf(f954,plain,
( ~ spl4_4
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f953]) ).
thf(f955,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) )
@ X1 )
= $true )
| spl4_4 ),
inference(pi_proxy_clausification,[],[f231]) ).
thf(f957,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK0 @ X1 @ ( sK5 @ X1 ) @ ( sK6 @ Y0 ) ) ) ) )
| spl4_4 ),
inference(beta-eta_normalization,[],[f955]) ).
thf(f958,plain,
( ! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK0 @ X1 @ ( sK5 @ X1 ) @ ( sK6 @ Y0 ) ) )
@ X2 )
= $true )
| spl4_4 ),
inference(pi_proxy_clausification,[],[f957]) ).
thf(f959,plain,
( ! [X2: a,X1: a] :
( ( ( sK1 @ X1 @ X2 )
=> ( sK0 @ X1 @ ( sK5 @ X1 ) @ ( sK6 @ X2 ) ) )
= $true )
| spl4_4 ),
inference(beta-eta_normalization,[],[f958]) ).
thf(f960,plain,
( ! [X2: a,X1: a] :
( ( ( sK0 @ X1 @ ( sK5 @ X1 ) @ ( sK6 @ X2 ) )
= $true )
| ( $false
= ( sK1 @ X1 @ X2 ) ) )
| spl4_4 ),
inference(imp_proxy_clausification,[],[f959]) ).
thf(f961,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) )
@ sK9 ) )
| ~ spl4_5 ),
inference(sigma_proxy_clausification,[],[f236]) ).
thf(f963,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ sK9 )
=> ( sK2 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ sK9 ) ) ) ) )
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f961]) ).
thf(f965,plain,
( ( ( ^ [Y0: a] :
( ( sK3 @ Y0 @ sK9 )
=> ( sK2 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ sK9 ) ) )
@ sK10 )
= $false )
| ~ spl4_5 ),
inference(sigma_proxy_clausification,[],[f963]) ).
thf(f968,plain,
( ( $false
= ( ( sK3 @ sK10 @ sK9 )
=> ( sK2 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) ) )
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f965]) ).
thf(f970,plain,
( ( $true
= ( sK3 @ sK10 @ sK9 ) )
| ~ spl4_5 ),
inference(imp_proxy_clausification,[],[f968]) ).
thf(f1311,definition,
( spl4_8
<=> ( $false
= ( sK3 @ sK10 @ sK10 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
thf(f1313,plain,
( ( $false
= ( sK3 @ sK10 @ sK10 ) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f1311]) ).
thf(f1315,definition,
( spl4_9
<=> ( $false
= ( sK0 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
thf(f1317,plain,
( ( $false
= ( sK0 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f1315]) ).
thf(f1320,definition,
( spl4_10
<=> ! [X1: a] :
( $false
= ( sK3 @ sK10 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
thf(f1321,plain,
( ! [X1: a] :
( $false
= ( sK3 @ sK10 @ X1 ) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f1320]) ).
thf(f1340,plain,
( ( ( ^ [Y0: a] :
( ( sK1 @ sK7 @ Y0 )
=> ( sK0 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ Y0 ) ) )
@ sK8 )
= $false )
| ~ spl4_4 ),
inference(sigma_proxy_clausification,[],[f945]) ).
thf(f1342,plain,
( ( $false
= ( ( sK1 @ sK7 @ sK8 )
=> ( sK0 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f1340]) ).
thf(f1344,plain,
( ( $false
= ( $true
=> ( sK0 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) ) )
| ~ spl4_4 ),
inference(forward_demodulation,[],[f1342,f951]) ).
thf(f1345,plain,
( ( $false
= ( sK0 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) )
| ~ spl4_4 ),
inference(boolean_simplification,[],[f1344]) ).
thf(f1346,plain,
( ( $false
= ( sK3 @ sK7 @ sK7 ) )
| ( $false
= ( sK2 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) )
| ( $false = $true )
| ~ spl4_4 ),
inference(superposition,[],[f1345,f211]) ).
thf(f1353,definition,
( spl4_13
<=> ( $false
= ( sK2 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
thf(f1355,plain,
( ( $false
= ( sK2 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) )
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f1353]) ).
thf(f1357,definition,
( spl4_14
<=> ( $false
= ( sK3 @ sK7 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
thf(f1359,plain,
( ( $false
= ( sK3 @ sK7 @ sK7 ) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f1357]) ).
thf(f1368,plain,
( ( $false
= ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( !! @ ( a > b )
@ ^ [Y2: a > b] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y4 @ Y3 )
=> ( sK2 @ Y4 @ ( Y0 @ Y4 ) @ ( Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y2 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( sK2 @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) ) ) ) )
@ sK11 ) )
| ~ spl4_3 ),
inference(sigma_proxy_clausification,[],[f57]) ).
thf(f1370,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( sK11 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( sK11 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f1368]) ).
thf(f1372,plain,
( ( $false
= ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y3 @ Y2 )
=> ( sK2 @ Y3 @ ( sK11 @ Y3 ) @ ( Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( sK11 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) )
@ sK12 ) )
| ~ spl4_3 ),
inference(sigma_proxy_clausification,[],[f1370]) ).
thf(f1374,plain,
( ( $false
= ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK2 @ Y2 @ ( sK11 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( Y0 @ Y1 ) @ ( sK12 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( sK11 @ Y1 ) @ ( sK12 @ Y2 ) ) ) ) ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f1372]) ).
thf(f1376,plain,
( ( $false
= ( ^ [Y0: a > b] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y2 @ Y1 )
=> ( sK2 @ Y2 @ ( sK11 @ Y2 ) @ ( Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( Y0 @ Y1 ) @ ( sK12 @ Y2 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( sK11 @ Y1 ) @ ( sK12 @ Y2 ) ) ) ) ) )
@ sK13 ) )
| ~ spl4_3 ),
inference(sigma_proxy_clausification,[],[f1374]) ).
thf(f1378,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK11 @ Y1 ) @ ( sK13 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK13 @ Y0 ) @ ( sK12 @ Y1 ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK11 @ Y0 ) @ ( sK12 @ Y1 ) ) ) ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f1376]) ).
thf(f1380,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK11 @ Y0 ) @ ( sK12 @ Y1 ) ) ) ) ) )
| ~ spl4_3 ),
inference(imp_proxy_clausification,[],[f1378]) ).
thf(f1381,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK11 @ Y1 ) @ ( sK13 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK13 @ Y0 ) @ ( sK12 @ Y1 ) ) ) ) ) )
= $true )
| ~ spl4_3 ),
inference(imp_proxy_clausification,[],[f1378]) ).
thf(f1382,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK13 @ Y0 ) @ ( sK12 @ Y1 ) ) ) ) ) )
| ~ spl4_3 ),
inference(and_proxy_clausification,[],[f1381]) ).
thf(f1383,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK11 @ Y1 ) @ ( sK13 @ Y0 ) ) ) ) )
= $true )
| ~ spl4_3 ),
inference(and_proxy_clausification,[],[f1381]) ).
thf(f1384,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK11 @ Y0 ) @ ( sK12 @ Y1 ) ) ) )
@ sK14 ) )
| ~ spl4_3 ),
inference(sigma_proxy_clausification,[],[f1380]) ).
thf(f1386,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK2 @ sK14 @ ( sK11 @ sK14 ) @ ( sK12 @ Y0 ) ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f1384]) ).
thf(f1388,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK2 @ sK14 @ ( sK11 @ sK14 ) @ ( sK12 @ Y0 ) ) )
@ sK15 ) )
| ~ spl4_3 ),
inference(sigma_proxy_clausification,[],[f1386]) ).
thf(f1391,plain,
( ( $false
= ( ( sK3 @ sK14 @ sK15 )
=> ( sK2 @ sK14 @ ( sK11 @ sK14 ) @ ( sK12 @ sK15 ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f1388]) ).
thf(f1393,plain,
( ( $true
= ( sK3 @ sK14 @ sK15 ) )
| ~ spl4_3 ),
inference(imp_proxy_clausification,[],[f1391]) ).
thf(f1417,definition,
( spl4_15
<=> ! [X0: b] :
( ( $false
= ( sK2 @ sK14 @ X0 @ ( sK11 @ sK14 ) ) )
| ( $false
= ( sK2 @ sK14 @ ( sK12 @ sK15 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
thf(f1418,plain,
( ! [X0: b] :
( ( $false
= ( sK2 @ sK14 @ ( sK12 @ sK15 ) @ X0 ) )
| ( $false
= ( sK2 @ sK14 @ X0 @ ( sK11 @ sK14 ) ) ) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f1417]) ).
thf(f1420,definition,
( spl4_16
<=> ! [X2: a] :
( $false
= ( sK3 @ sK14 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
thf(f1421,plain,
( ! [X2: a] :
( $false
= ( sK3 @ sK14 @ X2 ) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f1420]) ).
thf(f1428,definition,
( spl4_18
<=> ( $false
= ( sK3 @ sK14 @ sK14 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
thf(f1429,plain,
( ( $false
!= ( sK3 @ sK14 @ sK14 ) )
| spl4_18 ),
inference(avatar_component_clause,[],[f1428]) ).
thf(f1430,plain,
( ( $false
= ( sK3 @ sK14 @ sK14 ) )
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f1428]) ).
thf(f1522,plain,
( ( $false = $true )
| ~ spl4_5
| ~ spl4_10 ),
inference(superposition,[],[f1321,f970]) ).
thf(f1532,plain,
( $false
| ~ spl4_5
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f1522]) ).
thf(f1533,plain,
( ~ spl4_5
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f1532]) ).
thf(f1541,plain,
( ( $false
= ( ^ [Y0: a > b] :
( !! @ ( a > b )
@ ^ [Y1: a > b] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
=> ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) ) ) )
@ sK20 ) )
| ~ spl4_1 ),
inference(sigma_proxy_clausification,[],[f49]) ).
thf(f1544,plain,
( ( ( !! @ ( a > b )
@ ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( sK20 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( Y0 @ Y1 ) @ ( sK20 @ Y2 ) ) ) ) ) ) )
= $false )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f1541]) ).
thf(f1545,plain,
( ( $false
= ( ^ [Y0: a > b] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( sK20 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( Y0 @ Y1 ) @ ( sK20 @ Y2 ) ) ) ) ) )
@ sK21 ) )
| ~ spl4_1 ),
inference(sigma_proxy_clausification,[],[f1544]) ).
thf(f1547,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK20 @ Y0 ) @ ( sK21 @ Y1 ) ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK21 @ Y0 ) @ ( sK20 @ Y1 ) ) ) ) ) ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f1545]) ).
thf(f1549,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK21 @ Y0 ) @ ( sK20 @ Y1 ) ) ) ) ) )
| ~ spl4_1 ),
inference(imp_proxy_clausification,[],[f1547]) ).
thf(f1550,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK20 @ Y0 ) @ ( sK21 @ Y1 ) ) ) ) )
= $true )
| ~ spl4_1 ),
inference(imp_proxy_clausification,[],[f1547]) ).
thf(f1551,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK21 @ Y0 ) @ ( sK20 @ Y1 ) ) ) )
@ sK22 ) )
| ~ spl4_1 ),
inference(sigma_proxy_clausification,[],[f1549]) ).
thf(f1553,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK22 @ Y0 )
=> ( sK2 @ sK22 @ ( sK21 @ sK22 ) @ ( sK20 @ Y0 ) ) ) )
= $false )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f1551]) ).
thf(f1561,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK3 @ sK22 @ Y0 )
=> ( sK2 @ sK22 @ ( sK21 @ sK22 ) @ ( sK20 @ Y0 ) ) )
@ sK23 ) )
| ~ spl4_1 ),
inference(sigma_proxy_clausification,[],[f1553]) ).
thf(f1564,plain,
( ( $false
= ( ( sK3 @ sK22 @ sK23 )
=> ( sK2 @ sK22 @ ( sK21 @ sK22 ) @ ( sK20 @ sK23 ) ) ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f1561]) ).
thf(f1565,plain,
( ( $false
= ( sK2 @ sK22 @ ( sK21 @ sK22 ) @ ( sK20 @ sK23 ) ) )
| ~ spl4_1 ),
inference(imp_proxy_clausification,[],[f1564]) ).
thf(f1566,plain,
( ( $true
= ( sK3 @ sK22 @ sK23 ) )
| ~ spl4_1 ),
inference(imp_proxy_clausification,[],[f1564]) ).
thf(f1567,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK20 @ Y0 ) @ ( sK21 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl4_1 ),
inference(pi_proxy_clausification,[],[f1550]) ).
thf(f1568,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ X1 @ Y0 )
=> ( sK2 @ X1 @ ( sK20 @ X1 ) @ ( sK21 @ Y0 ) ) ) )
= $true )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f1567]) ).
thf(f1569,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ X1 @ Y0 )
=> ( sK2 @ X1 @ ( sK20 @ X1 ) @ ( sK21 @ Y0 ) ) )
@ X2 ) )
| ~ spl4_1 ),
inference(pi_proxy_clausification,[],[f1568]) ).
thf(f1570,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( sK3 @ X1 @ X2 )
=> ( sK2 @ X1 @ ( sK20 @ X1 ) @ ( sK21 @ X2 ) ) ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f1569]) ).
thf(f1571,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ ( sK20 @ X1 ) @ ( sK21 @ X2 ) )
= $true )
| ( $false
= ( sK3 @ X1 @ X2 ) ) )
| ~ spl4_1 ),
inference(imp_proxy_clausification,[],[f1570]) ).
thf(f1572,plain,
( ! [X2: a,X0: a,X1: a] :
( ( ( sK3 @ X0 @ X1 )
= $false )
| ( $false = $true )
| ( $false
= ( sK3 @ X0 @ X2 ) )
| ( ( sK2 @ X0 @ ( sK21 @ X1 ) @ ( sK20 @ X0 ) )
= $true ) )
| ~ spl4_1 ),
inference(superposition,[],[f1571,f88]) ).
thf(f1574,plain,
( ! [X2: a,X0: a,X1: a] :
( ( ( sK2 @ X0 @ ( sK21 @ X1 ) @ ( sK20 @ X0 ) )
= $true )
| ( $false
= ( sK3 @ X0 @ X2 ) )
| ( ( sK3 @ X0 @ X1 )
= $false ) )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f1572]) ).
thf(f1683,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ X0 @ ( sK21 @ sK22 ) @ ( sK20 @ sK23 ) ) )
| ( $false = $true )
| ( $false
= ( sK3 @ X0 @ sK22 ) ) )
| ~ spl4_1 ),
inference(superposition,[],[f1565,f100]) ).
thf(f1696,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ X0 @ ( sK21 @ sK22 ) @ ( sK20 @ sK23 ) ) )
| ( $false
= ( sK3 @ X0 @ sK22 ) ) )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f1683]) ).
thf(f1736,plain,
( ( $false
= ( sK3 @ sK7 @ sK7 ) )
| ( $false
= ( sK2 @ sK7 @ ( sK5 @ sK7 ) @ ( sK6 @ sK8 ) ) )
| ~ spl4_4 ),
inference(trivial_inequality_removal,[],[f1346]) ).
thf(f1762,plain,
( spl4_14
| spl4_13
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f1736,f230,f1353,f1357]) ).
thf(f1941,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK2 @ sK14 @ ( sK11 @ sK14 ) @ ( sK12 @ Y0 ) ) )
@ sK15 ) )
| ~ spl4_3 ),
inference(sigma_proxy_clausification,[],[f1386]) ).
thf(f1943,plain,
( ( $false
= ( ( sK3 @ sK14 @ sK15 )
=> ( sK2 @ sK14 @ ( sK11 @ sK14 ) @ ( sK12 @ sK15 ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f1941]) ).
thf(f1945,plain,
( ( $false
= ( $true
=> ( sK2 @ sK14 @ ( sK11 @ sK14 ) @ ( sK12 @ sK15 ) ) ) )
| ~ spl4_3 ),
inference(forward_demodulation,[],[f1943,f1393]) ).
thf(f1946,plain,
( ( $false
= ( sK2 @ sK14 @ ( sK11 @ sK14 ) @ ( sK12 @ sK15 ) ) )
| ~ spl4_3 ),
inference(boolean_simplification,[],[f1945]) ).
thf(f1956,plain,
( ! [X2: a,X0: b,X1: a] :
( ( $false
= ( sK2 @ sK14 @ X0 @ ( sK11 @ sK14 ) ) )
| ( $false = $true )
| ( $false
= ( sK3 @ sK14 @ X2 ) )
| ( $false
= ( sK2 @ sK14 @ ( sK12 @ sK15 ) @ X0 ) )
| ( $false
= ( sK3 @ sK14 @ X1 ) ) )
| ~ spl4_3 ),
inference(superposition,[],[f223,f1946]) ).
thf(f1966,plain,
( ! [X2: a,X0: b,X1: a] :
( ( $false
= ( sK2 @ sK14 @ X0 @ ( sK11 @ sK14 ) ) )
| ( $false
= ( sK3 @ sK14 @ X1 ) )
| ( $false
= ( sK3 @ sK14 @ X2 ) )
| ( $false
= ( sK2 @ sK14 @ ( sK12 @ sK15 ) @ X0 ) ) )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f1956]) ).
thf(f1973,plain,
( spl4_15
| spl4_16
| spl4_16
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f1966,f55,f1420,f1420,f1417]) ).
thf(f1975,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK7 @ X0 ) )
| ( $false = $true )
| ( $false
= ( sK3 @ X0 @ sK7 ) ) )
| ~ spl4_14 ),
inference(superposition,[],[f1359,f119]) ).
thf(f1981,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK7 @ X0 ) )
| ( $false
= ( sK3 @ X0 @ sK7 ) ) )
| ~ spl4_14 ),
inference(trivial_inequality_removal,[],[f1975]) ).
thf(f1991,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false = $true )
| ( $false
= ( sK3 @ X0 @ sK14 ) ) )
| ~ spl4_18 ),
inference(superposition,[],[f119,f1430]) ).
thf(f1993,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false
= ( sK3 @ X0 @ sK14 ) ) )
| ~ spl4_18 ),
inference(trivial_inequality_removal,[],[f1991]) ).
thf(f2039,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK13 @ Y0 ) @ ( sK12 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl4_3 ),
inference(pi_proxy_clausification,[],[f1382]) ).
thf(f2040,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ X1 @ Y0 )
=> ( sK2 @ X1 @ ( sK13 @ X1 ) @ ( sK12 @ Y0 ) ) ) )
= $true )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f2039]) ).
thf(f2041,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ X1 @ Y0 )
=> ( sK2 @ X1 @ ( sK13 @ X1 ) @ ( sK12 @ Y0 ) ) )
@ X2 ) )
| ~ spl4_3 ),
inference(pi_proxy_clausification,[],[f2040]) ).
thf(f2042,plain,
( ! [X2: a,X1: a] :
( ( ( sK3 @ X1 @ X2 )
=> ( sK2 @ X1 @ ( sK13 @ X1 ) @ ( sK12 @ X2 ) ) )
= $true )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f2041]) ).
thf(f2043,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X1 @ ( sK13 @ X1 ) @ ( sK12 @ X2 ) )
= $true )
| ( $false
= ( sK3 @ X1 @ X2 ) ) )
| ~ spl4_3 ),
inference(imp_proxy_clausification,[],[f2042]) ).
thf(f2047,plain,
( ! [X2: a,X0: a,X1: a] :
( ( ( sK3 @ X0 @ X1 )
= $false )
| ( $false
= ( sK3 @ X0 @ X2 ) )
| ( $false = $true )
| ( $true
= ( sK2 @ X0 @ ( sK12 @ X1 ) @ ( sK13 @ X0 ) ) ) )
| ~ spl4_3 ),
inference(superposition,[],[f88,f2043]) ).
thf(f2052,plain,
( ! [X2: a,X0: a,X1: a] :
( ( $true
= ( sK2 @ X0 @ ( sK12 @ X1 ) @ ( sK13 @ X0 ) ) )
| ( $false
= ( sK3 @ X0 @ X2 ) )
| ( ( sK3 @ X0 @ X1 )
= $false ) )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f2047]) ).
thf(f2075,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ X0 @ sK7 ) )
| ( $false = $true )
| ( $false
= ( sK3 @ X0 @ sK7 ) ) )
| ~ spl4_14 ),
inference(superposition,[],[f77,f1981]) ).
thf(f2078,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ X0 @ sK7 ) )
| ( $false = $true ) )
| ~ spl4_14 ),
inference(duplicate_literal_removal,[],[f2075]) ).
thf(f2079,plain,
( ! [X0: a] :
( $false
= ( sK3 @ X0 @ sK7 ) )
| ~ spl4_14 ),
inference(trivial_inequality_removal,[],[f2078]) ).
thf(f2089,plain,
( ! [X0: a] :
( ( $false = $true )
| ( $false
= ( sK3 @ sK7 @ X0 ) ) )
| ~ spl4_14 ),
inference(superposition,[],[f2079,f77]) ).
thf(f2097,plain,
( ! [X0: a] :
( $false
= ( sK3 @ sK7 @ X0 ) )
| ~ spl4_14 ),
inference(trivial_inequality_removal,[],[f2089]) ).
thf(f2102,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK11 @ Y1 ) @ ( sK13 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl4_3 ),
inference(pi_proxy_clausification,[],[f1383]) ).
thf(f2103,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK2 @ Y0 @ ( sK11 @ Y0 ) @ ( sK13 @ X1 ) ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f2102]) ).
thf(f2104,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK2 @ Y0 @ ( sK11 @ Y0 ) @ ( sK13 @ X1 ) ) )
@ X2 ) )
| ~ spl4_3 ),
inference(pi_proxy_clausification,[],[f2103]) ).
thf(f2105,plain,
( ! [X2: a,X1: a] :
( ( ( sK3 @ X2 @ X1 )
=> ( sK2 @ X2 @ ( sK11 @ X2 ) @ ( sK13 @ X1 ) ) )
= $true )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f2104]) ).
thf(f2106,plain,
( ! [X2: a,X1: a] :
( ( $true
= ( sK2 @ X2 @ ( sK11 @ X2 ) @ ( sK13 @ X1 ) ) )
| ( $false
= ( sK3 @ X2 @ X1 ) ) )
| ~ spl4_3 ),
inference(imp_proxy_clausification,[],[f2105]) ).
thf(f2107,plain,
( ! [X2: a,X0: a,X1: a] :
( ( $false
= ( sK3 @ X0 @ X2 ) )
| ( ( sK3 @ X0 @ X1 )
= $false )
| ( ( sK2 @ X0 @ ( sK13 @ X1 ) @ ( sK11 @ X0 ) )
= $true )
| ( $false = $true ) )
| ~ spl4_3 ),
inference(superposition,[],[f2106,f88]) ).
thf(f2116,plain,
( ! [X2: a,X0: a,X1: a] :
( ( ( sK2 @ X0 @ ( sK13 @ X1 ) @ ( sK11 @ X0 ) )
= $true )
| ( $false
= ( sK3 @ X0 @ X2 ) )
| ( ( sK3 @ X0 @ X1 )
= $false ) )
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f2107]) ).
thf(f2141,plain,
( ! [X0: a] :
( ( $false = $true )
| ( $false
= ( sK1 @ sK7 @ X0 ) ) )
| ~ spl4_14 ),
inference(superposition,[],[f2097,f63]) ).
thf(f2151,plain,
( ! [X0: a] :
( $false
= ( sK1 @ sK7 @ X0 ) )
| ~ spl4_14 ),
inference(trivial_inequality_removal,[],[f2141]) ).
thf(f2157,plain,
( ( $false = $true )
| ~ spl4_4
| ~ spl4_14 ),
inference(superposition,[],[f951,f2151]) ).
thf(f2160,plain,
( $false
| ~ spl4_4
| ~ spl4_14 ),
inference(trivial_inequality_removal,[],[f2157]) ).
thf(f2161,plain,
( ~ spl4_4
| ~ spl4_14 ),
inference(avatar_contradiction_clause,[],[f2160]) ).
thf(f2216,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ X0 @ sK14 ) )
| ( $false = $true )
| ( $false
= ( sK3 @ X0 @ sK14 ) ) )
| ~ spl4_18 ),
inference(superposition,[],[f77,f1993]) ).
thf(f2224,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ X0 @ sK14 ) )
| ( $false = $true ) )
| ~ spl4_18 ),
inference(duplicate_literal_removal,[],[f2216]) ).
thf(f2225,plain,
( ! [X0: a] :
( $false
= ( sK3 @ X0 @ sK14 ) )
| ~ spl4_18 ),
inference(trivial_inequality_removal,[],[f2224]) ).
thf(f2245,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false = $true ) )
| ~ spl4_18 ),
inference(superposition,[],[f2225,f77]) ).
thf(f2253,plain,
( ! [X0: a] :
( $false
= ( sK3 @ sK14 @ X0 ) )
| ~ spl4_18 ),
inference(trivial_inequality_removal,[],[f2245]) ).
thf(f2258,plain,
( spl4_16
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f2253,f1428,f1420]) ).
thf(f2267,plain,
( ( $false = $true )
| ~ spl4_3
| ~ spl4_16 ),
inference(superposition,[],[f1393,f1421]) ).
thf(f2275,plain,
( $false
| ~ spl4_3
| ~ spl4_16 ),
inference(trivial_inequality_removal,[],[f2267]) ).
thf(f2276,plain,
( ~ spl4_3
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f2275]) ).
thf(f2437,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ sK15 ) )
| ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false
= ( sK2 @ sK14 @ ( sK13 @ sK14 ) @ ( sK11 @ sK14 ) ) )
| ( $false = $true ) )
| ~ spl4_3
| ~ spl4_15 ),
inference(superposition,[],[f2052,f1418]) ).
thf(f2446,plain,
( ! [X0: a] :
( ( $false
= ( sK2 @ sK14 @ ( sK13 @ sK14 ) @ ( sK11 @ sK14 ) ) )
| ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false
= ( sK3 @ sK14 @ sK15 ) ) )
| ~ spl4_3
| ~ spl4_15 ),
inference(trivial_inequality_removal,[],[f2437]) ).
thf(f2449,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false = $true )
| ( $false
= ( sK2 @ sK14 @ ( sK13 @ sK14 ) @ ( sK11 @ sK14 ) ) ) )
| ~ spl4_3
| ~ spl4_15 ),
inference(forward_demodulation,[],[f2446,f1393]) ).
thf(f2450,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false
= ( sK2 @ sK14 @ ( sK13 @ sK14 ) @ ( sK11 @ sK14 ) ) ) )
| ~ spl4_3
| ~ spl4_15 ),
inference(trivial_inequality_removal,[],[f2449]) ).
thf(f2452,definition,
( spl4_48
<=> ( $false
= ( sK2 @ sK14 @ ( sK13 @ sK14 ) @ ( sK11 @ sK14 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_48])],[avatar_definition]) ).
thf(f2454,plain,
( ( $false
= ( sK2 @ sK14 @ ( sK13 @ sK14 ) @ ( sK11 @ sK14 ) ) )
| ~ spl4_48 ),
inference(avatar_component_clause,[],[f2452]) ).
thf(f2456,plain,
( spl4_48
| spl4_16
| ~ spl4_3
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f2450,f1417,f55,f1420,f2452]) ).
thf(f2497,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ sK14 ) )
| ( $false = $true )
| ( $false
= ( sK3 @ sK14 @ X0 ) ) )
| ~ spl4_3
| ~ spl4_48 ),
inference(superposition,[],[f2116,f2454]) ).
thf(f2506,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK14 @ X0 ) )
| ( $false
= ( sK3 @ sK14 @ sK14 ) ) )
| ~ spl4_3
| ~ spl4_48 ),
inference(trivial_inequality_removal,[],[f2497]) ).
thf(f2523,plain,
( ! [X0: a] :
( $false
= ( sK3 @ sK14 @ X0 ) )
| ~ spl4_3
| spl4_18
| ~ spl4_48 ),
inference(forward_subsumption_resolution,[],[f2506,f1429]) ).
thf(f2536,plain,
( spl4_16
| ~ spl4_3
| spl4_18
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f2523,f2452,f1428,f55,f1420]) ).
thf(f2569,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) )
| spl4_2 ),
inference(beta-eta_normalization,[],[f225]) ).
thf(f2652,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) )
| spl4_2 ),
inference(xor_proxy_clausification,[],[f2569]) ).
thf(f2653,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ Y1 ) ) ) ) )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) ) ) )
| spl4_2 ),
inference(xor_proxy_clausification,[],[f2569]) ).
thf(f2684,plain,
( spl4_4
| spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f2653,f51,f234,f230]) ).
thf(f2685,plain,
( spl4_7
| spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f2652,f51,f239,f243]) ).
thf(f3551,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) )
@ X1 )
= $true )
| spl4_5 ),
inference(pi_proxy_clausification,[],[f235]) ).
thf(f3553,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK2 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ X1 ) ) ) )
= $true )
| spl4_5 ),
inference(beta-eta_normalization,[],[f3551]) ).
thf(f3554,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK2 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ X1 ) ) )
@ X2 ) )
| spl4_5 ),
inference(pi_proxy_clausification,[],[f3553]) ).
thf(f3555,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( sK3 @ X2 @ X1 )
=> ( sK2 @ X2 @ ( sK5 @ X2 ) @ ( sK6 @ X1 ) ) ) )
| spl4_5 ),
inference(beta-eta_normalization,[],[f3554]) ).
thf(f3556,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ ( sK5 @ X2 ) @ ( sK6 @ X1 ) )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) )
| spl4_5 ),
inference(imp_proxy_clausification,[],[f3555]) ).
thf(f3582,plain,
( ( $false
= ( sK3 @ sK7 @ sK8 ) )
| ( $false = $true )
| spl4_5
| ~ spl4_13 ),
inference(superposition,[],[f1355,f3556]) ).
thf(f3593,plain,
( ( $false
= ( sK3 @ sK7 @ sK8 ) )
| spl4_5
| ~ spl4_13 ),
inference(trivial_inequality_removal,[],[f3582]) ).
thf(f3667,plain,
( ( $false = $true )
| ( $false
= ( sK1 @ sK7 @ sK8 ) )
| spl4_5
| ~ spl4_13 ),
inference(superposition,[],[f63,f3593]) ).
thf(f3669,plain,
( ( $false
= ( sK1 @ sK7 @ sK8 ) )
| spl4_5
| ~ spl4_13 ),
inference(trivial_inequality_removal,[],[f3667]) ).
thf(f3676,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y1 @ Y0 )
=> ( sK2 @ Y1 @ ( sK5 @ Y1 ) @ ( sK6 @ Y0 ) ) ) )
@ X1 )
= $true )
| ~ spl4_7 ),
inference(pi_proxy_clausification,[],[f245]) ).
thf(f3677,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK2 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ X1 ) ) ) )
= $true )
| ~ spl4_7 ),
inference(beta-eta_normalization,[],[f3676]) ).
thf(f3900,plain,
( ( $false = $true )
| ~ spl4_4
| spl4_5
| ~ spl4_13 ),
inference(superposition,[],[f951,f3669]) ).
thf(f3907,plain,
( $false
| ~ spl4_4
| spl4_5
| ~ spl4_13 ),
inference(trivial_inequality_removal,[],[f3900]) ).
thf(f3908,plain,
( ~ spl4_4
| spl4_5
| ~ spl4_13 ),
inference(avatar_contradiction_clause,[],[f3907]) ).
thf(f3951,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK10 @ X0 ) )
| ( $false = $true )
| ( $false
= ( sK3 @ X0 @ sK10 ) ) )
| ~ spl4_8 ),
inference(superposition,[],[f119,f1313]) ).
thf(f3953,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK10 @ X0 ) )
| ( $false
= ( sK3 @ X0 @ sK10 ) ) )
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f3951]) ).
thf(f3959,plain,
( ( ( ^ [Y0: a] :
( ( sK3 @ Y0 @ sK9 )
=> ( sK2 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ sK9 ) ) )
@ sK10 )
= $false )
| ~ spl4_5 ),
inference(sigma_proxy_clausification,[],[f963]) ).
thf(f3962,plain,
( ( $false
= ( ( sK3 @ sK10 @ sK9 )
=> ( sK2 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) ) )
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f3959]) ).
thf(f3963,plain,
( ( $false
= ( $true
=> ( sK2 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) ) )
| ~ spl4_5 ),
inference(forward_demodulation,[],[f3962,f970]) ).
thf(f3964,plain,
( ( $false
= ( sK2 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) )
| ~ spl4_5 ),
inference(boolean_simplification,[],[f3963]) ).
thf(f3971,plain,
( ( $false
= ( sK0 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) )
| ( $false
= ( sK3 @ sK10 @ sK10 ) )
| ( $false = $true )
| ~ spl4_5 ),
inference(superposition,[],[f212,f3964]) ).
thf(f3976,plain,
( ( $false
= ( sK3 @ sK10 @ sK10 ) )
| ( $false
= ( sK0 @ sK10 @ ( sK5 @ sK10 ) @ ( sK6 @ sK9 ) ) )
| ~ spl4_5 ),
inference(trivial_inequality_removal,[],[f3971]) ).
thf(f3991,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK3 @ Y0 @ X1 )
=> ( sK2 @ Y0 @ ( sK5 @ Y0 ) @ ( sK6 @ X1 ) ) )
@ X2 ) )
| ~ spl4_7 ),
inference(pi_proxy_clausification,[],[f3677]) ).
thf(f3992,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( sK3 @ X2 @ X1 )
=> ( sK2 @ X2 @ ( sK5 @ X2 ) @ ( sK6 @ X1 ) ) ) )
| ~ spl4_7 ),
inference(beta-eta_normalization,[],[f3991]) ).
thf(f3993,plain,
( ! [X2: a,X1: a] :
( ( ( sK2 @ X2 @ ( sK5 @ X2 ) @ ( sK6 @ X1 ) )
= $true )
| ( $false
= ( sK3 @ X2 @ X1 ) ) )
| ~ spl4_7 ),
inference(imp_proxy_clausification,[],[f3992]) ).
thf(f4010,plain,
( ( $false
= ( sK3 @ sK10 @ sK9 ) )
| ( $false = $true )
| ~ spl4_5
| ~ spl4_7 ),
inference(superposition,[],[f3993,f3964]) ).
thf(f4029,plain,
( ( $false
= ( sK3 @ sK10 @ sK9 ) )
| ~ spl4_5
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f4010]) ).
thf(f4067,plain,
( ( $false = $true )
| ~ spl4_5
| ~ spl4_7 ),
inference(superposition,[],[f4029,f970]) ).
thf(f4079,plain,
( $false
| ~ spl4_5
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f4067]) ).
thf(f4080,plain,
( ~ spl4_5
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f4079]) ).
thf(f4095,plain,
( ! [X0: a] :
( ( $false = $true )
| ( $false
= ( sK3 @ X0 @ sK10 ) )
| ( $false
= ( sK3 @ X0 @ sK10 ) ) )
| ~ spl4_8 ),
inference(superposition,[],[f77,f3953]) ).
thf(f4106,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ X0 @ sK10 ) )
| ( $false = $true ) )
| ~ spl4_8 ),
inference(duplicate_literal_removal,[],[f4095]) ).
thf(f4107,plain,
( ! [X0: a] :
( $false
= ( sK3 @ X0 @ sK10 ) )
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f4106]) ).
thf(f4237,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK10 @ X0 ) )
| ( $false = $true ) )
| ~ spl4_8 ),
inference(superposition,[],[f4107,f77]) ).
thf(f4244,plain,
( ! [X0: a] :
( $false
= ( sK3 @ sK10 @ X0 ) )
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f4237]) ).
thf(f4250,plain,
( spl4_10
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f4244,f1311,f1320]) ).
thf(f4252,plain,
( spl4_8
| spl4_9
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f3976,f234,f1315,f1311]) ).
thf(f7082,plain,
( ( $false
= ( sK1 @ sK10 @ sK9 ) )
| ( $false = $true )
| spl4_4
| ~ spl4_9 ),
inference(superposition,[],[f960,f1317]) ).
thf(f7087,plain,
( ( $false
= ( sK1 @ sK10 @ sK9 ) )
| spl4_4
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f7082]) ).
thf(f7091,plain,
( ( $false
= ( sK3 @ sK10 @ sK9 ) )
| ( $false = $true )
| spl4_4
| ~ spl4_9 ),
inference(superposition,[],[f64,f7087]) ).
thf(f7093,plain,
( ( $false
= ( sK3 @ sK10 @ sK9 ) )
| spl4_4
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f7091]) ).
thf(f7109,plain,
( ( $false = $true )
| spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(superposition,[],[f7093,f970]) ).
thf(f7127,plain,
( $false
| spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(trivial_inequality_removal,[],[f7109]) ).
thf(f7128,plain,
( spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f7127]) ).
thf(f9160,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK23 @ sK22 ) )
| ( $false
= ( sK3 @ sK23 @ X0 ) )
| ( $false
= ( sK3 @ sK23 @ sK22 ) )
| ( $false = $true ) )
| ~ spl4_1 ),
inference(superposition,[],[f1574,f1696]) ).
thf(f9179,plain,
( ! [X0: a] :
( ( $false = $true )
| ( $false
= ( sK3 @ sK23 @ sK22 ) )
| ( $false
= ( sK3 @ sK23 @ X0 ) ) )
| ~ spl4_1 ),
inference(duplicate_literal_removal,[],[f9160]) ).
thf(f9180,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ sK23 @ X0 ) )
| ( $false
= ( sK3 @ sK23 @ sK22 ) ) )
| ~ spl4_1 ),
inference(trivial_inequality_removal,[],[f9179]) ).
thf(f9182,definition,
( spl4_265
<=> ( $false
= ( sK3 @ sK23 @ sK22 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_265])],[avatar_definition]) ).
thf(f9184,plain,
( ( $false
= ( sK3 @ sK23 @ sK22 ) )
| ~ spl4_265 ),
inference(avatar_component_clause,[],[f9182]) ).
thf(f9186,definition,
( spl4_266
<=> ! [X0: a] :
( $false
= ( sK3 @ sK23 @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_266])],[avatar_definition]) ).
thf(f9187,plain,
( ! [X0: a] :
( $false
= ( sK3 @ sK23 @ X0 ) )
| ~ spl4_266 ),
inference(avatar_component_clause,[],[f9186]) ).
thf(f9189,plain,
( spl4_265
| spl4_266
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f9180,f47,f9186,f9182]) ).
thf(f9342,plain,
( ! [X0: a] :
( ( $false
= ( sK3 @ X0 @ sK23 ) )
| ( $false = $true ) )
| ~ spl4_266 ),
inference(superposition,[],[f77,f9187]) ).
thf(f9347,plain,
( ! [X0: a] :
( $false
= ( sK3 @ X0 @ sK23 ) )
| ~ spl4_266 ),
inference(trivial_inequality_removal,[],[f9342]) ).
thf(f9362,plain,
( ( $false = $true )
| ~ spl4_1
| ~ spl4_266 ),
inference(superposition,[],[f1566,f9347]) ).
thf(f9374,plain,
( $false
| ~ spl4_1
| ~ spl4_266 ),
inference(trivial_inequality_removal,[],[f9362]) ).
thf(f9375,plain,
( ~ spl4_1
| ~ spl4_266 ),
inference(avatar_contradiction_clause,[],[f9374]) ).
thf(f9382,plain,
( ( $false
= ( sK3 @ sK22 @ sK23 ) )
| ( $false = $true )
| ~ spl4_265 ),
inference(superposition,[],[f77,f9184]) ).
thf(f9384,plain,
( ( $false
= ( sK3 @ sK22 @ sK23 ) )
| ~ spl4_265 ),
inference(trivial_inequality_removal,[],[f9382]) ).
thf(f9396,plain,
( ( $false = $true )
| ~ spl4_1
| ~ spl4_265 ),
inference(superposition,[],[f1566,f9384]) ).
thf(f9409,plain,
( $false
| ~ spl4_1
| ~ spl4_265 ),
inference(trivial_inequality_removal,[],[f9396]) ).
thf(f9410,plain,
( ~ spl4_1
| ~ spl4_265 ),
inference(avatar_contradiction_clause,[],[f9409]) ).
cnf(s1,plain,
( spl4_1
| ~ spl4_2
| spl4_3 ),
inference(sat_conversion,[],[f58]) ).
cnf(s4,plain,
( ~ spl4_4
| ~ spl4_6 ),
inference(sat_conversion,[],[f954]) ).
cnf(s40,plain,
( ~ spl4_5
| ~ spl4_10 ),
inference(sat_conversion,[],[f1533]) ).
cnf(s61,plain,
( ~ spl4_4
| spl4_13
| spl4_14 ),
inference(sat_conversion,[],[f1762]) ).
cnf(s98,plain,
( spl4_16
| spl4_15
| ~ spl4_3
| spl4_16 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s99,plain,
( ~ spl4_3
| spl4_15
| spl4_16 ),
inference(rat,[],[s98]) ).
cnf(s110,plain,
( ~ spl4_4
| ~ spl4_14 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s113,plain,
( spl4_16
| ~ spl4_18 ),
inference(sat_conversion,[],[f2258]) ).
cnf(s116,plain,
( ~ spl4_3
| ~ spl4_16 ),
inference(sat_conversion,[],[f2276]) ).
cnf(s134,plain,
( ~ spl4_3
| ~ spl4_15
| spl4_16
| spl4_48 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s143,plain,
( ~ spl4_3
| spl4_16
| spl4_18
| ~ spl4_48 ),
inference(sat_conversion,[],[f2536]) ).
cnf(s197,plain,
( spl4_2
| spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f2684]) ).
cnf(s198,plain,
( spl4_2
| spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f2685]) ).
cnf(s348,plain,
( ~ spl4_4
| spl4_5
| ~ spl4_13 ),
inference(sat_conversion,[],[f3908]) ).
cnf(s383,plain,
( ~ spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f4080]) ).
cnf(s401,plain,
( ~ spl4_8
| spl4_10 ),
inference(sat_conversion,[],[f4250]) ).
cnf(s404,plain,
( ~ spl4_5
| spl4_8
| spl4_9 ),
inference(sat_conversion,[],[f4252]) ).
cnf(s621,plain,
( spl4_4
| ~ spl4_5
| ~ spl4_9 ),
inference(sat_conversion,[],[f7128]) ).
cnf(s808,plain,
( ~ spl4_1
| spl4_265
| spl4_266 ),
inference(sat_conversion,[],[f9189]) ).
cnf(s810,plain,
( ~ spl4_1
| ~ spl4_266 ),
inference(sat_conversion,[],[f9375]) ).
cnf(s812,plain,
( ~ spl4_1
| ~ spl4_265 ),
inference(sat_conversion,[],[f9410]) ).
cnf(s813,plain,
( spl4_4
| ~ spl4_5 ),
inference(rat,[],[s401,s404,s40,s621]) ).
cnf(s814,plain,
( spl4_4
| spl4_2 ),
inference(rat,[],[s813,s197]) ).
cnf(s815,plain,
spl4_2,
inference(rat,[],[s383,s198,s348,s4,s61,s110,s814]) ).
cnf(s816,plain,
( ~ spl4_3
| spl4_16 ),
inference(rat,[],[s143,s134,s113,s99]) ).
cnf(s817,plain,
~ spl4_3,
inference(rat,[],[s816,s116]) ).
cnf(s818,plain,
spl4_1,
inference(rat,[],[s1,s815,s817]) ).
cnf(s819,plain,
~ spl4_265,
inference(rat,[],[s812,s818]) ).
cnf(s820,plain,
~ spl4_266,
inference(rat,[],[s810,s818]) ).
cnf(s821,plain,
$false,
inference(rat,[],[s808,s820,s819,s818]) ).
thf(f9411,plain,
$false,
inference(avatar_sat_refutation,[],[s821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV041^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n001.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 15:10:42 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running higher-order theorem proving
% 0.09/0.27 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
% 0.94/0.46 % (1362442)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.94/0.46 % (1362452)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=274622023:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.94/0.46 % (1362452)Instruction limit reached!
% 0.94/0.46 % (1362452)------------------------------
% 0.94/0.46 % (1362452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1362452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1362452)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1362452)Termination reason: Instruction limit
% 0.94/0.46 % (1362452)Termination phase: Property scanning
% 0.94/0.46 % (1362452)Time elapsed: 0.002 s
% 0.94/0.46 % (1362452)Peak memory usage: 10 MB
% 0.94/0.46 % (1362452)Instructions burned: 4 (million)
% 0.94/0.46 % (1362456)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.94/0.46 % (1362456)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
% 0.94/0.46 % (1362454)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3340375742:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.94/0.46 % (1362450)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1424535386:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.94/0.46 % (1362451)lrs+10_16_si=on:nwc=1.5:random_seed=125257148:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.94/0.46 % (1362453)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=717158895: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)
% 0.94/0.46 % (1362455)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=311014009:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.94/0.46 % (1362456)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=3345626331:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.94/0.46 % (1362462)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3910644077:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.94/0.46 % (1362462)Instruction limit reached!
% 0.94/0.46 % (1362462)------------------------------
% 0.94/0.46 % (1362462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1362462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1362462)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1362462)Termination reason: Instruction limit
% 0.94/0.46 % (1362462)Termination phase: Preprocessing 3
% 0.94/0.46 % (1362462)Time elapsed: 0.001 s
% 0.94/0.46 % (1362462)Peak memory usage: 10 MB
% 0.94/0.46 % (1362462)Instructions burned: 2 (million)
% 0.94/0.46 % (1362451)Instruction limit reached!
% 0.94/0.46 % (1362451)------------------------------
% 0.94/0.46 % (1362451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1362451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1362451)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1362451)Termination reason: Instruction limit
% 0.94/0.46 % (1362451)Termination phase: Saturation
% 0.94/0.46 % (1362451)Time elapsed: 0.018 s
% 0.94/0.46 % (1362451)Peak memory usage: 12 MB
% 0.94/0.46 % (1362451)Instructions burned: 19 (million)
% 0.94/0.46 % (1362454)Instruction limit reached!
% 0.94/0.46 % (1362454)------------------------------
% 0.94/0.46 % (1362454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.46 % (1362454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.46 % (1362454)CaDiCaL version: 2.1.3
% 0.94/0.46 % (1362454)Termination reason: Instruction limit
% 0.94/0.46 % (1362454)Termination phase: Saturation
% 0.94/0.46 % (1362454)Time elapsed: 0.020 s
% 0.94/0.46 % (1362454)Peak memory usage: 12 MB
% 0.94/0.46 % (1362454)Instructions burned: 24 (million)
% 0.94/0.46 % (1362472)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3836321807:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.65/0.53 % (1362475)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.65/0.53 % (1362472)Instruction limit reached!
% 1.65/0.53 % (1362472)------------------------------
% 1.65/0.53 % (1362472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (1362472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (1362472)CaDiCaL version: 2.1.3
% 1.65/0.53 % (1362472)Termination reason: Instruction limit
% 1.65/0.53 % (1362472)Termination phase: Property scanning
% 1.65/0.53 % (1362472)Time elapsed: 0.003 s
% 1.65/0.53 % (1362472)Peak memory usage: 10 MB
% 1.65/0.53 % (1362472)Instructions burned: 6 (million)
% 1.65/0.53 % (1362475)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1704935348:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.65/0.53 % (1362475)Instruction limit reached!
% 1.65/0.53 % (1362475)------------------------------
% 1.65/0.53 % (1362475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (1362475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (1362475)CaDiCaL version: 2.1.3
% 1.65/0.53 % (1362475)Termination reason: Instruction limit
% 1.65/0.53 % (1362475)Termination phase: Saturation
% 1.65/0.53 % (1362475)Time elapsed: 0.003 s
% 1.65/0.53 % (1362475)Peak memory usage: 12 MB
% 1.65/0.53 % (1362475)Instructions burned: 7 (million)
% 1.65/0.53 % (1362455)Instruction limit reached!
% 1.65/0.53 % (1362455)------------------------------
% 1.65/0.53 % (1362455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (1362455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (1362455)CaDiCaL version: 2.1.3
% 1.65/0.53 % (1362455)Termination reason: Instruction limit
% 1.65/0.53 % (1362455)Termination phase: Saturation
% 1.65/0.53 % (1362455)Time elapsed: 0.061 s
% 1.65/0.53 % (1362455)Peak memory usage: 13 MB
% 1.65/0.53 % (1362455)Instructions burned: 76 (million)
% 1.65/0.53 % (1362476)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3552193222:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.65/0.53 % (1362483)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=3357672127:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.65/0.53 % (1362482)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.65/0.53 % (1362482)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.65/0.53 % (1362476)Instruction limit reached!
% 1.65/0.53 % (1362476)------------------------------
% 1.65/0.53 % (1362476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (1362476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (1362476)CaDiCaL version: 2.1.3
% 1.65/0.53 % (1362476)Termination reason: Instruction limit
% 1.65/0.53 % (1362476)Termination phase: Saturation
% 1.65/0.53 % (1362476)Time elapsed: 0.013 s
% 1.65/0.53 % (1362476)Peak memory usage: 12 MB
% 1.65/0.53 % (1362476)Instructions burned: 12 (million)
% 1.65/0.53 % (1362482)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1721486110:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.65/0.53 % (1362450)Instruction limit reached!
% 1.65/0.53 % (1362450)------------------------------
% 1.65/0.53 % (1362450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.53 % (1362450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.53 % (1362450)CaDiCaL version: 2.1.3
% 1.65/0.53 % (1362450)Termination reason: Instruction limit
% 1.65/0.53 % (1362450)Termination phase: Saturation
% 1.65/0.53 % (1362450)Time elapsed: 0.081 s
% 1.65/0.53 % (1362450)Peak memory usage: 12 MB
% 1.65/0.53 % (1362450)Instructions burned: 88 (million)
% 1.65/0.53 % (1362491)lrs+10_1_si=on:cs=on:random_seed=2757475165:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.65/0.53 % (1362491)Instruction limit reached!
% 1.65/0.58 % (1362491)------------------------------
% 1.65/0.58 % (1362491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.58 % (1362491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.58 % (1362491)CaDiCaL version: 2.1.3
% 1.65/0.58 % (1362491)Termination reason: Instruction limit
% 1.65/0.58 % (1362491)Termination phase: Saturation
% 1.65/0.58 % (1362491)Time elapsed: 0.004 s
% 1.65/0.58 % (1362491)Peak memory usage: 12 MB
% 1.65/0.58 % (1362491)Instructions burned: 8 (million)
% 1.65/0.58 % (1362482)Instruction limit reached!
% 1.65/0.58 % (1362482)------------------------------
% 1.65/0.58 % (1362482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.58 % (1362482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.58 % (1362482)CaDiCaL version: 2.1.3
% 1.65/0.58 % (1362482)Termination reason: Instruction limit
% 1.65/0.58 % (1362482)Termination phase: Saturation
% 1.65/0.58 % (1362482)Time elapsed: 0.022 s
% 1.65/0.58 % (1362482)Peak memory usage: 12 MB
% 1.65/0.58 % (1362482)Instructions burned: 28 (million)
% 1.65/0.58 % (1362495)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.65/0.58 % (1362501)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2779288122:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.65/0.58 % (1362495)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=3748712776:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.65/0.58 % (1362499)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=48211194:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.65/0.58 % (1362495)Instruction limit reached!
% 1.65/0.58 % (1362495)------------------------------
% 1.65/0.58 % (1362495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.58 % (1362495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.58 % (1362495)CaDiCaL version: 2.1.3
% 1.65/0.58 % (1362495)Termination reason: Instruction limit
% 1.65/0.58 % (1362495)Termination phase: Property scanning
% 1.65/0.58 % (1362495)Time elapsed: 0.002 s
% 1.65/0.58 % (1362495)Peak memory usage: 9 MB
% 1.65/0.58 % (1362495)Instructions burned: 2 (million)
% 1.65/0.58 % (1362456)Instruction limit reached!
% 1.65/0.58 % (1362456)------------------------------
% 1.65/0.58 % (1362456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.58 % (1362456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.58 % (1362456)CaDiCaL version: 2.1.3
% 1.65/0.58 % (1362456)Termination reason: Instruction limit
% 1.65/0.58 % (1362456)Termination phase: Saturation
% 1.65/0.58 % (1362456)Time elapsed: 0.127 s
% 1.65/0.58 % (1362456)Peak memory usage: 12 MB
% 1.65/0.58 % (1362456)Instructions burned: 157 (million)
% 1.65/0.58 % (1362510)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2838647377:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.65/0.58 % (1362504)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2401448397:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.65/0.58 % (1362510)Instruction limit reached!
% 1.65/0.58 % (1362510)------------------------------
% 1.65/0.58 % (1362510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.58 % (1362510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.58 % (1362510)CaDiCaL version: 2.1.3
% 1.65/0.58 % (1362510)Termination reason: Instruction limit
% 1.65/0.58 % (1362510)Termination phase: Saturation
% 1.65/0.58 % (1362510)Time elapsed: 0.011 s
% 1.65/0.58 % (1362510)Peak memory usage: 12 MB
% 1.65/0.58 % (1362510)Instructions burned: 14 (million)
% 1.65/0.58 % (1362483)Instruction limit reached!
% 1.65/0.58 % (1362483)------------------------------
% 1.65/0.58 % (1362483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.65/0.58 % (1362483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.65/0.58 % (1362483)CaDiCaL version: 2.1.3
% 1.65/0.58 % (1362483)Termination reason: Instruction limit
% 1.65/0.58 % (1362483)Termination phase: Saturation
% 2.44/0.65 % (1362483)Time elapsed: 0.074 s
% 2.44/0.65 % (1362483)Peak memory usage: 13 MB
% 2.44/0.65 % (1362483)Instructions burned: 87 (million)
% 2.44/0.65 % (1362499)Instruction limit reached!
% 2.44/0.65 % (1362499)------------------------------
% 2.44/0.65 % (1362499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.65 % (1362499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.65 % (1362499)CaDiCaL version: 2.1.3
% 2.44/0.65 % (1362499)Termination reason: Instruction limit
% 2.44/0.65 % (1362499)Termination phase: Saturation
% 2.44/0.65 % (1362499)Time elapsed: 0.036 s
% 2.44/0.65 % (1362499)Peak memory usage: 12 MB
% 2.44/0.65 % (1362499)Instructions burned: 39 (million)
% 2.44/0.65 % (1362504)Instruction limit reached!
% 2.44/0.65 % (1362504)------------------------------
% 2.44/0.65 % (1362504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.65 % (1362504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.65 % (1362504)CaDiCaL version: 2.1.3
% 2.44/0.65 % (1362504)Termination reason: Instruction limit
% 2.44/0.65 % (1362504)Termination phase: Saturation
% 2.44/0.65 % (1362504)Time elapsed: 0.023 s
% 2.44/0.65 % (1362504)Peak memory usage: 12 MB
% 2.44/0.65 % (1362504)Instructions burned: 26 (million)
% 2.44/0.65 % (1362513)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=672581818:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.44/0.65 % (1362520)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1015122747: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)
% 2.44/0.65 % (1362520)Instruction limit reached!
% 2.44/0.65 % (1362520)------------------------------
% 2.44/0.65 % (1362520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.65 % (1362520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.65 % (1362520)CaDiCaL version: 2.1.3
% 2.44/0.65 % (1362520)Termination reason: Instruction limit
% 2.44/0.65 % (1362520)Termination phase: Preprocessing 1
% 2.44/0.65 % (1362520)Time elapsed: 0.002 s
% 2.44/0.65 % (1362520)Peak memory usage: 10 MB
% 2.44/0.65 % (1362520)Instructions burned: 2 (million)
% 2.44/0.65 % (1362522)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=828488477:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.44/0.65 % (1362501)Instruction limit reached!
% 2.44/0.65 % (1362501)------------------------------
% 2.44/0.65 % (1362501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.65 % (1362501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.65 % (1362501)CaDiCaL version: 2.1.3
% 2.44/0.65 % (1362501)Termination reason: Instruction limit
% 2.44/0.65 % (1362501)Termination phase: Saturation
% 2.44/0.65 % (1362501)Time elapsed: 0.095 s
% 2.44/0.65 % (1362501)Peak memory usage: 13 MB
% 2.44/0.65 % (1362501)Instructions burned: 249 (million)
% 2.44/0.65 % (1362519)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1135153032:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.44/0.65 % (1362522)Instruction limit reached!
% 2.44/0.65 % (1362522)------------------------------
% 2.44/0.65 % (1362522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.65 % (1362522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.65 % (1362522)CaDiCaL version: 2.1.3
% 2.44/0.65 % (1362522)Termination reason: Instruction limit
% 2.44/0.65 % (1362522)Termination phase: Saturation
% 2.44/0.65 % (1362522)Time elapsed: 0.021 s
% 2.44/0.65 % (1362522)Peak memory usage: 11 MB
% 2.44/0.65 % (1362522)Instructions burned: 24 (million)
% 2.44/0.65 % (1362529)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.44/0.65 % (1362529)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.44/0.65 % (1362521)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2493326834:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.44/0.65 % (1362529)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=3470943173:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.56/0.79 % (1362526)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=289012073:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.56/0.79 % (1362519)Instruction limit reached!
% 2.56/0.79 % (1362519)------------------------------
% 2.56/0.79 % (1362519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.79 % (1362519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.79 % (1362519)CaDiCaL version: 2.1.3
% 2.56/0.79 % (1362519)Termination reason: Instruction limit
% 2.56/0.79 % (1362519)Termination phase: Saturation
% 2.56/0.79 % (1362519)Time elapsed: 0.013 s
% 2.56/0.79 % (1362519)Peak memory usage: 12 MB
% 2.56/0.79 % (1362519)Instructions burned: 16 (million)
% 2.56/0.79 % (1362529)Instruction limit reached!
% 2.56/0.79 % (1362529)------------------------------
% 2.56/0.79 % (1362529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.79 % (1362529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.79 % (1362529)CaDiCaL version: 2.1.3
% 2.56/0.79 % (1362529)Termination reason: Instruction limit
% 2.56/0.79 % (1362529)Termination phase: Saturation
% 2.56/0.79 % (1362529)Time elapsed: 0.006 s
% 2.56/0.79 % (1362529)Peak memory usage: 12 MB
% 2.56/0.79 % (1362529)Instructions burned: 14 (million)
% 2.56/0.79 % (1362521)Instruction limit reached!
% 2.56/0.79 % (1362521)------------------------------
% 2.56/0.79 % (1362521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.79 % (1362521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.79 % (1362521)CaDiCaL version: 2.1.3
% 2.56/0.79 % (1362521)Termination reason: Instruction limit
% 2.56/0.79 % (1362521)Termination phase: Saturation
% 2.56/0.79 % (1362521)Time elapsed: 0.022 s
% 2.56/0.79 % (1362521)Peak memory usage: 13 MB
% 2.56/0.79 % (1362521)Instructions burned: 26 (million)
% 2.56/0.79 % (1362533)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.56/0.79 % (1362539)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2646538012:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.56/0.79 % (1362537)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=3275447441:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.56/0.79 % (1362533)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=809072122:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.56/0.79 % (1362539)Instruction limit reached!
% 2.56/0.79 % (1362539)------------------------------
% 2.56/0.79 % (1362539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.79 % (1362539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.79 % (1362539)CaDiCaL version: 2.1.3
% 2.56/0.79 % (1362539)Termination reason: Instruction limit
% 2.56/0.79 % (1362539)Termination phase: Saturation
% 2.56/0.79 % (1362539)Time elapsed: 0.004 s
% 2.56/0.79 % (1362539)Peak memory usage: 12 MB
% 2.56/0.79 % (1362539)Instructions burned: 8 (million)
% 2.56/0.79 % (1362533)Instruction limit reached!
% 2.56/0.79 % (1362533)------------------------------
% 2.56/0.79 % (1362533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.79 % (1362533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.79 % (1362533)CaDiCaL version: 2.1.3
% 2.56/0.79 % (1362533)Termination reason: Instruction limit
% 2.56/0.79 % (1362533)Termination phase: Saturation
% 2.56/0.79 % (1362533)Time elapsed: 0.007 s
% 2.56/0.79 % (1362533)Peak memory usage: 11 MB
% 2.56/0.79 % (1362533)Instructions burned: 8 (million)
% 2.56/0.79 % (1362537)Instruction limit reached!
% 2.56/0.79 % (1362537)------------------------------
% 2.56/0.79 % (1362537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.79 % (1362537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.79 % (1362537)CaDiCaL version: 2.1.3
% 2.56/0.79 % (1362537)Termination reason: Instruction limit
% 2.56/0.79 % (1362537)Termination phase: Saturation
% 2.56/0.79 % (1362537)Time elapsed: 0.023 s
% 2.56/0.79 % (1362537)Peak memory usage: 12 MB
% 3.27/0.86 % (1362537)Instructions burned: 31 (million)
% 3.27/0.86 % (1362548)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=48912635:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 3.27/0.86 % (1362526)Instruction limit reached!
% 3.27/0.86 % (1362526)------------------------------
% 3.27/0.86 % (1362526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.86 % (1362526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.86 % (1362526)CaDiCaL version: 2.1.3
% 3.27/0.86 % (1362526)Termination reason: Instruction limit
% 3.27/0.86 % (1362526)Termination phase: Saturation
% 3.27/0.86 % (1362526)Time elapsed: 0.052 s
% 3.27/0.86 % (1362526)Peak memory usage: 12 MB
% 3.27/0.86 % (1362526)Instructions burned: 60 (million)
% 3.27/0.86 % (1362542)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=670731942:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 3.27/0.86 % (1362548)Instruction limit reached!
% 3.27/0.86 % (1362548)------------------------------
% 3.27/0.86 % (1362548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.86 % (1362548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.86 % (1362548)CaDiCaL version: 2.1.3
% 3.27/0.86 % (1362548)Termination reason: Instruction limit
% 3.27/0.86 % (1362548)Termination phase: Saturation
% 3.27/0.86 % (1362548)Time elapsed: 0.010 s
% 3.27/0.86 % (1362548)Peak memory usage: 12 MB
% 3.27/0.86 % (1362548)Instructions burned: 20 (million)
% 3.27/0.86 % (1362549)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=646623948:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 3.27/0.86 % (1362542)Instruction limit reached!
% 3.27/0.86 % (1362542)------------------------------
% 3.27/0.86 % (1362542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.86 % (1362542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.86 % (1362542)CaDiCaL version: 2.1.3
% 3.27/0.86 % (1362542)Termination reason: Instruction limit
% 3.27/0.86 % (1362542)Termination phase: Saturation
% 3.27/0.86 % (1362542)Time elapsed: 0.018 s
% 3.27/0.86 % (1362542)Peak memory usage: 11 MB
% 3.27/0.86 % (1362542)Instructions burned: 23 (million)
% 3.27/0.86 % (1362558)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2963451361:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.27/0.86 % (1362553)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3619118659:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 3.27/0.86 % (1362556)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=457801975:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 3.27/0.86 % (1362562)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.27/0.86 % (1362562)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1424766787:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.27/0.86 % (1362562)Instruction limit reached!
% 3.27/0.86 % (1362562)------------------------------
% 3.27/0.86 % (1362562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.86 % (1362562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.86 % (1362562)CaDiCaL version: 2.1.3
% 3.27/0.86 % (1362562)Termination reason: Instruction limit
% 3.27/0.86 % (1362562)Termination phase: Saturation
% 3.27/0.86 % (1362562)Time elapsed: 0.004 s
% 3.27/0.86 % (1362562)Peak memory usage: 11 MB
% 3.27/0.86 % (1362562)Instructions burned: 8 (million)
% 3.27/0.86 % (1362558)Instruction limit reached!
% 3.27/0.86 % (1362558)------------------------------
% 3.27/0.86 % (1362558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.27/0.86 % (1362558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.27/0.86 % (1362558)CaDiCaL version: 2.1.3
% 3.27/0.86 % (1362558)Termination reason: Instruction limit
% 3.27/0.86 % (1362558)Termination phase: Saturation
% 3.27/0.86 % (1362558)Time elapsed: 0.020 s
% 3.27/0.86 % (1362558)Peak memory usage: 12 MB
% 3.27/0.86 % (1362558)Instructions burned: 44 (million)
% 3.27/0.86 % (1362570)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=907449472:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.67/1.03 % (1362571)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=616461704:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.67/1.03 % (1362553)Instruction limit reached!
% 3.67/1.03 % (1362553)------------------------------
% 3.67/1.03 % (1362553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.67/1.03 % (1362553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.03 % (1362553)CaDiCaL version: 2.1.3
% 3.67/1.03 % (1362553)Termination reason: Instruction limit
% 3.67/1.03 % (1362553)Termination phase: Saturation
% 3.67/1.03 % (1362553)Time elapsed: 0.123 s
% 3.67/1.03 % (1362553)Peak memory usage: 13 MB
% 3.67/1.03 % (1362553)Instructions burned: 143 (million)
% 3.67/1.03 % (1362513)Instruction limit reached!
% 3.67/1.03 % (1362513)------------------------------
% 3.67/1.03 % (1362513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.67/1.03 % (1362513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.03 % (1362513)CaDiCaL version: 2.1.3
% 3.67/1.03 % (1362513)Termination reason: Instruction limit
% 3.67/1.03 % (1362513)Termination phase: Saturation
% 3.67/1.03 % (1362513)Time elapsed: 0.263 s
% 3.67/1.03 % (1362513)Peak memory usage: 13 MB
% 3.67/1.03 % (1362513)Instructions burned: 327 (million)
% 3.67/1.03 % (1362556)Instruction limit reached!
% 3.67/1.03 % (1362556)------------------------------
% 3.67/1.03 % (1362556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.67/1.03 % (1362556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.03 % (1362556)CaDiCaL version: 2.1.3
% 3.67/1.03 % (1362556)Termination reason: Instruction limit
% 3.67/1.03 % (1362556)Termination phase: Saturation
% 3.67/1.03 % (1362556)Time elapsed: 0.138 s
% 3.67/1.03 % (1362556)Peak memory usage: 12 MB
% 3.67/1.03 % (1362556)Instructions burned: 193 (million)
% 3.67/1.03 % (1362590)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2468687860:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.67/1.03 % (1362589)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.67/1.03 % (1362589)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3964126447:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 3.67/1.03 % (1362570)Instruction limit reached!
% 3.67/1.03 % (1362570)------------------------------
% 3.67/1.03 % (1362570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.67/1.03 % (1362570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.03 % (1362570)CaDiCaL version: 2.1.3
% 3.67/1.03 % (1362570)Termination reason: Instruction limit
% 3.67/1.03 % (1362570)Termination phase: Saturation
% 3.67/1.03 % (1362570)Time elapsed: 0.121 s
% 3.67/1.03 % (1362570)Peak memory usage: 13 MB
% 3.67/1.03 % (1362570)Instructions burned: 181 (million)
% 3.67/1.03 % (1362589)Instruction limit reached!
% 3.67/1.03 % (1362589)------------------------------
% 3.67/1.03 % (1362589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.67/1.03 % (1362589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.03 % (1362589)CaDiCaL version: 2.1.3
% 3.67/1.03 % (1362589)Termination reason: Instruction limit
% 3.67/1.03 % (1362589)Termination phase: Saturation
% 3.67/1.03 % (1362589)Time elapsed: 0.005 s
% 3.67/1.03 % (1362589)Peak memory usage: 11 MB
% 3.67/1.03 % (1362589)Instructions burned: 6 (million)
% 3.67/1.03 % (1362590)Instruction limit reached!
% 3.67/1.03 % (1362590)------------------------------
% 3.67/1.03 % (1362590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.67/1.03 % (1362590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.03 % (1362590)CaDiCaL version: 2.1.3
% 3.67/1.03 % (1362590)Termination reason: Instruction limit
% 3.67/1.03 % (1362590)Termination phase: Saturation
% 3.67/1.03 % (1362590)Time elapsed: 0.018 s
% 3.67/1.03 % (1362590)Peak memory usage: 12 MB
% 3.67/1.03 % (1362590)Instructions burned: 23 (million)
% 3.67/1.03 % (1362593)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=863431395:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 5.19/1.18 % (1362453)Instruction limit reached!
% 5.19/1.18 % (1362453)------------------------------
% 5.19/1.18 % (1362453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.18 % (1362453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.18 % (1362453)CaDiCaL version: 2.1.3
% 5.19/1.18 % (1362453)Termination reason: Instruction limit
% 5.19/1.18 % (1362453)Termination phase: Saturation
% 5.19/1.18 % (1362453)Time elapsed: 0.476 s
% 5.19/1.18 % (1362453)Peak memory usage: 13 MB
% 5.19/1.18 % (1362453)Instructions burned: 634 (million)
% 5.19/1.18 % (1362597)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=2293419018:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 5.19/1.18 % (1362598)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=1101951873:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.19/1.18 % (1362593)Instruction limit reached!
% 5.19/1.18 % (1362593)------------------------------
% 5.19/1.18 % (1362593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.18 % (1362593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.18 % (1362593)CaDiCaL version: 2.1.3
% 5.19/1.18 % (1362593)Termination reason: Instruction limit
% 5.19/1.18 % (1362593)Termination phase: Saturation
% 5.19/1.18 % (1362593)Time elapsed: 0.016 s
% 5.19/1.18 % (1362593)Peak memory usage: 12 MB
% 5.19/1.18 % (1362593)Instructions burned: 19 (million)
% 5.19/1.18 % (1362599)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=771809710:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 5.19/1.18 % (1362571)Instruction limit reached!
% 5.19/1.18 % (1362571)------------------------------
% 5.19/1.18 % (1362571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.18 % (1362571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.18 % (1362571)CaDiCaL version: 2.1.3
% 5.19/1.18 % (1362571)Termination reason: Instruction limit
% 5.19/1.18 % (1362571)Termination phase: Saturation
% 5.19/1.18 % (1362571)Time elapsed: 0.149 s
% 5.19/1.18 % (1362571)Peak memory usage: 14 MB
% 5.19/1.18 % (1362571)Instructions burned: 169 (million)
% 5.19/1.18 % (1362601)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3838394211:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 5.19/1.18 % (1362606)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1320047428:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.19/1.18 % (1362608)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.19/1.18 % (1362608)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4114511093:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.19/1.18 % (1362599)Instruction limit reached!
% 5.19/1.18 % (1362599)------------------------------
% 5.19/1.18 % (1362599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.18 % (1362599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.18 % (1362599)CaDiCaL version: 2.1.3
% 5.19/1.18 % (1362599)Termination reason: Instruction limit
% 5.19/1.18 % (1362599)Termination phase: Saturation
% 5.19/1.18 % (1362599)Time elapsed: 0.041 s
% 5.19/1.18 % (1362599)Peak memory usage: 12 MB
% 5.19/1.18 % (1362599)Instructions burned: 45 (million)
% 5.19/1.18 % (1362606)Instruction limit reached!
% 5.19/1.18 % (1362606)------------------------------
% 5.19/1.18 % (1362606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.18 % (1362606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.18 % (1362606)CaDiCaL version: 2.1.3
% 5.19/1.18 % (1362606)Termination reason: Instruction limit
% 5.19/1.18 % (1362606)Termination phase: Saturation
% 5.19/1.18 % (1362606)Time elapsed: 0.020 s
% 6.78/1.33 % (1362606)Peak memory usage: 12 MB
% 6.78/1.33 % (1362606)Instructions burned: 21 (million)
% 6.78/1.33 % (1362615)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2205131979:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 6.78/1.33 % (1362615)Instruction limit reached!
% 6.78/1.33 % (1362615)------------------------------
% 6.78/1.33 % (1362615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.33 % (1362615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.33 % (1362615)CaDiCaL version: 2.1.3
% 6.78/1.33 % (1362615)Termination reason: Instruction limit
% 6.78/1.33 % (1362615)Termination phase: Saturation
% 6.78/1.33 % (1362615)Time elapsed: 0.009 s
% 6.78/1.33 % (1362615)Peak memory usage: 12 MB
% 6.78/1.33 % (1362615)Instructions burned: 13 (million)
% 6.78/1.33 % (1362617)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=222627689:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 6.78/1.33 % (1362620)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1049231843:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 6.78/1.33 % (1362617)Instruction limit reached!
% 6.78/1.33 % (1362617)------------------------------
% 6.78/1.33 % (1362617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.33 % (1362617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.33 % (1362617)CaDiCaL version: 2.1.3
% 6.78/1.33 % (1362617)Termination reason: Instruction limit
% 6.78/1.33 % (1362617)Termination phase: Saturation
% 6.78/1.33 % (1362617)Time elapsed: 0.058 s
% 6.78/1.33 % (1362617)Peak memory usage: 13 MB
% 6.78/1.33 % (1362617)Instructions burned: 66 (million)
% 6.78/1.33 % (1362620)Instruction limit reached!
% 6.78/1.33 % (1362620)------------------------------
% 6.78/1.33 % (1362620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.33 % (1362620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.33 % (1362620)CaDiCaL version: 2.1.3
% 6.78/1.33 % (1362620)Termination reason: Instruction limit
% 6.78/1.33 % (1362620)Termination phase: Saturation
% 6.78/1.33 % (1362620)Time elapsed: 0.043 s
% 6.78/1.33 % (1362620)Peak memory usage: 12 MB
% 6.78/1.33 % (1362620)Instructions burned: 52 (million)
% 6.78/1.33 % (1362629)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2930219130:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.78/1.33 % (1362630)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=4148518894:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 6.78/1.33 % (1362629)Instruction limit reached!
% 6.78/1.33 % (1362629)------------------------------
% 6.78/1.33 % (1362629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.33 % (1362629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.33 % (1362629)CaDiCaL version: 2.1.3
% 6.78/1.33 % (1362629)Termination reason: Instruction limit
% 6.78/1.33 % (1362629)Termination phase: Saturation
% 6.78/1.33 % (1362629)Time elapsed: 0.025 s
% 6.78/1.33 % (1362629)Peak memory usage: 12 MB
% 6.78/1.33 % (1362629)Instructions burned: 32 (million)
% 6.78/1.33 % (1362608)Instruction limit reached!
% 6.78/1.33 % (1362608)------------------------------
% 6.78/1.33 % (1362608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.33 % (1362608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.33 % (1362608)CaDiCaL version: 2.1.3
% 6.78/1.33 % (1362608)Termination reason: Instruction limit
% 6.78/1.33 % (1362608)Termination phase: Saturation
% 6.78/1.33 % (1362608)Time elapsed: 0.149 s
% 6.78/1.33 % (1362608)Peak memory usage: 12 MB
% 6.78/1.33 % (1362608)Instructions burned: 200 (million)
% 6.78/1.33 % (1362637)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=5407861:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 6.78/1.33 % (1362597)Instruction limit reached!
% 6.78/1.33 % (1362597)------------------------------
% 6.78/1.33 % (1362597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.33 % (1362597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.33 % (1362597)CaDiCaL version: 2.1.3
% 7.19/1.48 % (1362597)Termination reason: Instruction limit
% 7.19/1.48 % (1362597)Termination phase: Saturation
% 7.19/1.48 % (1362597)Time elapsed: 0.236 s
% 7.19/1.48 % (1362597)Peak memory usage: 15 MB
% 7.19/1.48 % (1362597)Instructions burned: 317 (million)
% 7.19/1.48 % (1362636)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=972427109:cond=on:i=34:hud=10:nm=10:rtra=on_2992 on theBenchmark for (2992ds/34Mi)
% 7.19/1.48 % (1362641)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 7.19/1.48 % (1362641)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3284562493:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 7.19/1.48 % (1362636)Instruction limit reached!
% 7.19/1.48 % (1362636)------------------------------
% 7.19/1.48 % (1362636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.48 % (1362636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.48 % (1362636)CaDiCaL version: 2.1.3
% 7.19/1.48 % (1362636)Termination reason: Instruction limit
% 7.19/1.48 % (1362636)Termination phase: Saturation
% 7.19/1.48 % (1362636)Time elapsed: 0.030 s
% 7.19/1.48 % (1362636)Peak memory usage: 13 MB
% 7.19/1.48 % (1362636)Instructions burned: 34 (million)
% 7.19/1.48 % (1362637)Instruction limit reached!
% 7.19/1.48 % (1362637)------------------------------
% 7.19/1.48 % (1362637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.48 % (1362637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.48 % (1362637)CaDiCaL version: 2.1.3
% 7.19/1.48 % (1362637)Termination reason: Instruction limit
% 7.19/1.48 % (1362637)Termination phase: Saturation
% 7.19/1.48 % (1362637)Time elapsed: 0.061 s
% 7.19/1.48 % (1362637)Peak memory usage: 13 MB
% 7.19/1.48 % (1362637)Instructions burned: 68 (million)
% 7.19/1.48 % (1362630)Instruction limit reached!
% 7.19/1.48 % (1362630)------------------------------
% 7.19/1.48 % (1362630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.48 % (1362630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.48 % (1362630)CaDiCaL version: 2.1.3
% 7.19/1.48 % (1362630)Termination reason: Instruction limit
% 7.19/1.48 % (1362630)Termination phase: Saturation
% 7.19/1.48 % (1362630)Time elapsed: 0.102 s
% 7.19/1.48 % (1362630)Peak memory usage: 12 MB
% 7.19/1.48 % (1362630)Instructions burned: 138 (million)
% 7.19/1.48 % (1362645)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1152287842:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 7.19/1.48 % (1362647)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2433361175:cond=on:i=96:bd=all:rtra=on_2991 on theBenchmark for (2991ds/96Mi)
% 7.19/1.48 % (1362648)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1812316188:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 7.19/1.48 % (1362598)Instruction limit reached!
% 7.19/1.48 % (1362598)------------------------------
% 7.19/1.48 % (1362598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.48 % (1362598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.48 % (1362598)CaDiCaL version: 2.1.3
% 7.19/1.48 % (1362598)Termination reason: Instruction limit
% 7.19/1.48 % (1362598)Termination phase: Saturation
% 7.19/1.48 % (1362598)Time elapsed: 0.363 s
% 7.19/1.48 % (1362598)Peak memory usage: 20 MB
% 7.19/1.48 % (1362598)Instructions burned: 855 (million)
% 7.19/1.48 % (1362601)Instruction limit reached!
% 7.19/1.48 % (1362601)------------------------------
% 7.19/1.48 % (1362601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.19/1.48 % (1362601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.48 % (1362601)CaDiCaL version: 2.1.3
% 7.19/1.48 % (1362601)Termination reason: Instruction limit
% 7.19/1.48 % (1362601)Termination phase: Saturation
% 7.19/1.48 % (1362601)Time elapsed: 0.334 s
% 7.19/1.48 % (1362601)Peak memory usage: 13 MB
% 7.19/1.48 % (1362601)Instructions burned: 481 (million)
% 7.19/1.48 % (1362660)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3132574549:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 7.19/1.48 % (1362641)Instruction limit reached!
% 7.19/1.48 % (1362641)------------------------------
% 7.19/1.48 % (1362641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.61 % (1362641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.61 % (1362641)CaDiCaL version: 2.1.3
% 8.22/1.61 % (1362641)Termination reason: Instruction limit
% 8.22/1.61 % (1362641)Termination phase: Saturation
% 8.22/1.61 % (1362641)Time elapsed: 0.128 s
% 8.22/1.61 % (1362641)Peak memory usage: 13 MB
% 8.22/1.61 % (1362641)Instructions burned: 181 (million)
% 8.22/1.61 % (1362659)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2740064237:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 8.22/1.61 % (1362647)Instruction limit reached!
% 8.22/1.61 % (1362647)------------------------------
% 8.22/1.61 % (1362647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.61 % (1362647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.61 % (1362647)CaDiCaL version: 2.1.3
% 8.22/1.61 % (1362647)Termination reason: Instruction limit
% 8.22/1.61 % (1362647)Termination phase: Saturation
% 8.22/1.61 % (1362647)Time elapsed: 0.085 s
% 8.22/1.61 % (1362647)Peak memory usage: 12 MB
% 8.22/1.61 % (1362647)Instructions burned: 96 (million)
% 8.22/1.61 % (1362662)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=43741669:st=1.5:i=130:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 8.22/1.61 % (1362665)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4099270947:i=44:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/44Mi)
% 8.22/1.61 % (1362665)Instruction limit reached!
% 8.22/1.61 % (1362665)------------------------------
% 8.22/1.61 % (1362665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.61 % (1362665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.61 % (1362665)CaDiCaL version: 2.1.3
% 8.22/1.61 % (1362665)Termination reason: Instruction limit
% 8.22/1.61 % (1362665)Termination phase: Saturation
% 8.22/1.61 % (1362665)Time elapsed: 0.038 s
% 8.22/1.61 % (1362665)Peak memory usage: 12 MB
% 8.22/1.61 % (1362665)Instructions burned: 44 (million)
% 8.22/1.61 % (1362645)Instruction limit reached!
% 8.22/1.61 % (1362645)------------------------------
% 8.22/1.61 % (1362645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.61 % (1362645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.61 % (1362645)CaDiCaL version: 2.1.3
% 8.22/1.61 % (1362645)Termination reason: Instruction limit
% 8.22/1.61 % (1362645)Termination phase: Saturation
% 8.22/1.61 % (1362645)Time elapsed: 0.191 s
% 8.22/1.61 % (1362645)Peak memory usage: 12 MB
% 8.22/1.61 % (1362645)Instructions burned: 246 (million)
% 8.22/1.61 % (1362662)Instruction limit reached!
% 8.22/1.61 % (1362662)------------------------------
% 8.22/1.61 % (1362662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.61 % (1362662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.61 % (1362662)CaDiCaL version: 2.1.3
% 8.22/1.61 % (1362662)Termination reason: Instruction limit
% 8.22/1.61 % (1362662)Termination phase: Saturation
% 8.22/1.61 % (1362662)Time elapsed: 0.084 s
% 8.22/1.61 % (1362662)Peak memory usage: 12 MB
% 8.22/1.61 % (1362662)Instructions burned: 131 (million)
% 8.22/1.61 % (1362672)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3693491185:s2a=on:i=571:nm=16:rtra=on_2990 on theBenchmark for (2990ds/571Mi)
% 8.22/1.61 % (1362660)Instruction limit reached!
% 8.22/1.61 % (1362660)------------------------------
% 8.22/1.61 % (1362660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.22/1.61 % (1362660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.22/1.61 % (1362660)CaDiCaL version: 2.1.3
% 8.22/1.61 % (1362660)Termination reason: Instruction limit
% 8.22/1.61 % (1362660)Termination phase: Saturation
% 8.22/1.61 % (1362660)Time elapsed: 0.143 s
% 8.22/1.61 % (1362660)Peak memory usage: 13 MB
% 8.22/1.61 % (1362660)Instructions burned: 517 (million)
% 8.22/1.61 % (1362673)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1180756810:i=450:rtra=on:ixr=off:ntd=on_2989 on theBenchmark for (2989ds/450Mi)
% 8.22/1.61 % (1362674)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1106877039:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/95Mi)
% 8.22/1.61 % (1362677)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=42862594:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2989 on theBenchmark for (2989ds/65Mi)
% 8.53/1.79 % (1362672)Refutation not found, incomplete strategy
% 8.53/1.79 % (1362672)------------------------------
% 8.53/1.79 % (1362672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.53/1.79 % (1362672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/1.79 % (1362672)CaDiCaL version: 2.1.3
% 8.53/1.79 % (1362672)Termination reason: Refutation not found, incomplete strategy
% 8.53/1.79 % (1362672)Time elapsed: 0.049 s
% 8.53/1.79 % (1362672)Peak memory usage: 12 MB
% 8.53/1.79 % (1362672)Instructions burned: 52 (million)
% 8.53/1.79 % (1362672)------------------------------
% 8.53/1.79 % (1362672)------------------------------
% 8.53/1.79 % (1362677)Instruction limit reached!
% 8.53/1.79 % (1362677)------------------------------
% 8.53/1.79 % (1362677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.53/1.79 % (1362677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/1.79 % (1362677)CaDiCaL version: 2.1.3
% 8.53/1.79 % (1362677)Termination reason: Instruction limit
% 8.53/1.79 % (1362677)Termination phase: Saturation
% 8.53/1.79 % (1362677)Time elapsed: 0.038 s
% 8.53/1.79 % (1362677)Peak memory usage: 13 MB
% 8.53/1.79 % (1362677)Instructions burned: 66 (million)
% 8.53/1.79 % (1362687)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=1052020744: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_2989 on theBenchmark for (2989ds/105Mi)
% 8.53/1.79 % (1362688)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=1636535325:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2989 on theBenchmark for (2989ds/5755Mi)
% 8.53/1.79 % (1362688)Refutation not found, incomplete strategy
% 8.53/1.79 % (1362688)------------------------------
% 8.53/1.79 % (1362688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.53/1.79 % (1362688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/1.79 % (1362688)CaDiCaL version: 2.1.3
% 8.53/1.79 % (1362688)Termination reason: Refutation not found, incomplete strategy
% 8.53/1.79 % (1362688)Time elapsed: 0.008 s
% 8.53/1.79 % (1362688)Peak memory usage: 12 MB
% 8.53/1.79 % (1362688)Instructions burned: 12 (million)
% 8.53/1.79 % (1362688)------------------------------
% 8.53/1.79 % (1362688)------------------------------
% 8.53/1.79 % (1362674)Instruction limit reached!
% 8.53/1.79 % (1362674)------------------------------
% 8.53/1.79 % (1362674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.53/1.79 % (1362674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/1.79 % (1362674)CaDiCaL version: 2.1.3
% 8.53/1.79 % (1362674)Termination reason: Instruction limit
% 8.53/1.79 % (1362674)Termination phase: Saturation
% 8.53/1.79 % (1362674)Time elapsed: 0.089 s
% 8.53/1.79 % (1362674)Peak memory usage: 13 MB
% 8.53/1.79 % (1362674)Instructions burned: 95 (million)
% 8.53/1.79 % (1362693)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3067079574:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/375Mi)
% 8.53/1.79 % (1362695)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1822251930:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/495Mi)
% 8.53/1.79 % (1362648)Instruction limit reached!
% 8.53/1.79 % (1362648)------------------------------
% 8.53/1.79 % (1362648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.53/1.79 % (1362648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/1.79 % (1362648)CaDiCaL version: 2.1.3
% 8.53/1.79 % (1362648)Termination reason: Instruction limit
% 8.53/1.79 % (1362648)Termination phase: Saturation
% 8.53/1.79 % (1362648)Time elapsed: 0.340 s
% 8.53/1.79 % (1362648)Peak memory usage: 13 MB
% 8.53/1.79 % (1362648)Instructions burned: 427 (million)
% 8.53/1.79 % (1362687)Instruction limit reached!
% 8.53/1.79 % (1362687)------------------------------
% 8.53/1.79 % (1362687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.53/1.79 % (1362687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/1.90 % (1362687)CaDiCaL version: 2.1.3
% 10.98/1.90 % (1362687)Termination reason: Instruction limit
% 10.98/1.90 % (1362687)Termination phase: Saturation
% 10.98/1.90 % (1362687)Time elapsed: 0.083 s
% 10.98/1.90 % (1362687)Peak memory usage: 13 MB
% 10.98/1.90 % (1362687)Instructions burned: 105 (million)
% 10.98/1.90 % (1362702)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=417148198:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 10.98/1.90 % (1362549)Instruction limit reached!
% 10.98/1.90 % (1362549)------------------------------
% 10.98/1.90 % (1362549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/1.90 % (1362549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/1.90 % (1362549)CaDiCaL version: 2.1.3
% 10.98/1.90 % (1362549)Termination reason: Instruction limit
% 10.98/1.90 % (1362549)Termination phase: Saturation
% 10.98/1.90 % (1362549)Time elapsed: 0.899 s
% 10.98/1.90 % (1362549)Peak memory usage: 14 MB
% 10.98/1.90 % (1362549)Instructions burned: 1240 (million)
% 10.98/1.90 % (1362704)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=628869612:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/91Mi)
% 10.98/1.90 % (1362708)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3896867412:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2987 on theBenchmark for (2987ds/66Mi)
% 10.98/1.90 % (1362702)Instruction limit reached!
% 10.98/1.90 % (1362702)------------------------------
% 10.98/1.90 % (1362702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/1.90 % (1362702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/1.90 % (1362702)CaDiCaL version: 2.1.3
% 10.98/1.90 % (1362702)Termination reason: Instruction limit
% 10.98/1.90 % (1362702)Termination phase: Saturation
% 10.98/1.90 % (1362702)Time elapsed: 0.028 s
% 10.98/1.90 % (1362702)Peak memory usage: 12 MB
% 10.98/1.90 % (1362702)Instructions burned: 34 (million)
% 10.98/1.90 % (1362711)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1757176147:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2987 on theBenchmark for (2987ds/22Mi)
% 10.98/1.90 % (1362708)Instruction limit reached!
% 10.98/1.90 % (1362708)------------------------------
% 10.98/1.90 % (1362708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/1.90 % (1362708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/1.90 % (1362708)CaDiCaL version: 2.1.3
% 10.98/1.90 % (1362708)Termination reason: Instruction limit
% 10.98/1.90 % (1362708)Termination phase: Saturation
% 10.98/1.90 % (1362708)Time elapsed: 0.035 s
% 10.98/1.90 % (1362708)Peak memory usage: 13 MB
% 10.98/1.90 % (1362708)Instructions burned: 67 (million)
% 10.98/1.90 % (1362711)Instruction limit reached!
% 10.98/1.90 % (1362711)------------------------------
% 10.98/1.90 % (1362711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/1.90 % (1362711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/1.90 % (1362711)CaDiCaL version: 2.1.3
% 10.98/1.90 % (1362711)Termination reason: Instruction limit
% 10.98/1.90 % (1362711)Termination phase: Saturation
% 10.98/1.90 % (1362711)Time elapsed: 0.019 s
% 10.98/1.90 % (1362711)Peak memory usage: 12 MB
% 10.98/1.90 % (1362711)Instructions burned: 22 (million)
% 10.98/1.90 % (1362704)Instruction limit reached!
% 10.98/1.90 % (1362704)------------------------------
% 10.98/1.90 % (1362704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.98/1.90 % (1362704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.98/1.90 % (1362704)CaDiCaL version: 2.1.3
% 10.98/1.90 % (1362704)Termination reason: Instruction limit
% 10.98/1.90 % (1362704)Termination phase: Saturation
% 10.98/1.90 % (1362704)Time elapsed: 0.080 s
% 10.98/1.90 % (1362704)Peak memory usage: 12 MB
% 10.98/1.90 % (1362704)Instructions burned: 92 (million)
% 10.98/1.90 % (1362714)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=3010181933:i=338:bd=all:ins=4:rtra=on_2987 on theBenchmark for (2987ds/338Mi)
% 10.98/1.90 % (1362718)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1373099227:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/28Mi)
% 10.98/1.90 % (1362721)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 12.40/2.13 % (1362721)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3144858380:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2986 on theBenchmark for (2986ds/137Mi)
% 12.40/2.13 % (1362718)Instruction limit reached!
% 12.40/2.13 % (1362718)------------------------------
% 12.40/2.13 % (1362718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.13 % (1362718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.13 % (1362718)CaDiCaL version: 2.1.3
% 12.40/2.13 % (1362718)Termination reason: Instruction limit
% 12.40/2.13 % (1362718)Termination phase: Saturation
% 12.40/2.13 % (1362718)Time elapsed: 0.026 s
% 12.40/2.13 % (1362718)Peak memory usage: 13 MB
% 12.40/2.13 % (1362718)Instructions burned: 28 (million)
% 12.40/2.13 % (1362695)Instruction limit reached!
% 12.40/2.13 % (1362695)------------------------------
% 12.40/2.13 % (1362695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.13 % (1362695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.13 % (1362695)CaDiCaL version: 2.1.3
% 12.40/2.13 % (1362695)Termination reason: Instruction limit
% 12.40/2.13 % (1362695)Termination phase: Saturation
% 12.40/2.13 % (1362695)Time elapsed: 0.215 s
% 12.40/2.13 % (1362695)Peak memory usage: 14 MB
% 12.40/2.13 % (1362695)Instructions burned: 497 (million)
% 12.40/2.13 % (1362727)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=1074841535:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/340Mi)
% 12.40/2.13 % (1362728)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3019310402:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 12.40/2.13 % (1362721)Instruction limit reached!
% 12.40/2.13 % (1362721)------------------------------
% 12.40/2.13 % (1362721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.13 % (1362721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.13 % (1362721)CaDiCaL version: 2.1.3
% 12.40/2.13 % (1362721)Termination reason: Instruction limit
% 12.40/2.13 % (1362721)Termination phase: Saturation
% 12.40/2.13 % (1362721)Time elapsed: 0.108 s
% 12.40/2.13 % (1362721)Peak memory usage: 12 MB
% 12.40/2.13 % (1362721)Instructions burned: 138 (million)
% 12.40/2.13 % (1362673)Instruction limit reached!
% 12.40/2.13 % (1362673)------------------------------
% 12.40/2.13 % (1362673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.13 % (1362673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.13 % (1362673)CaDiCaL version: 2.1.3
% 12.40/2.13 % (1362673)Termination reason: Instruction limit
% 12.40/2.13 % (1362673)Termination phase: Saturation
% 12.40/2.13 % (1362673)Time elapsed: 0.419 s
% 12.40/2.13 % (1362673)Peak memory usage: 15 MB
% 12.40/2.13 % (1362673)Instructions burned: 450 (million)
% 12.40/2.13 % (1362733)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 12.40/2.13 % (1362733)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3622924904:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/373Mi)
% 12.40/2.13 % (1362734)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3733254133:i=116:ep=RSTC:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/116Mi)
% 12.40/2.13 % (1362693)Instruction limit reached!
% 12.40/2.13 % (1362693)------------------------------
% 12.40/2.13 % (1362693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.13 % (1362693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.13 % (1362693)CaDiCaL version: 2.1.3
% 12.40/2.13 % (1362693)Termination reason: Instruction limit
% 12.40/2.13 % (1362693)Termination phase: Saturation
% 12.40/2.13 % (1362693)Time elapsed: 0.351 s
% 12.40/2.13 % (1362693)Peak memory usage: 14 MB
% 12.40/2.13 % (1362693)Instructions burned: 376 (million)
% 12.40/2.13 % (1362728)Instruction limit reached!
% 12.40/2.13 % (1362728)------------------------------
% 12.40/2.13 % (1362728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.40/2.13 % (1362728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.31 % (1362728)CaDiCaL version: 2.1.3
% 14.03/2.31 % (1362728)Termination reason: Instruction limit
% 14.03/2.31 % (1362728)Termination phase: Saturation
% 14.03/2.31 % (1362728)Time elapsed: 0.104 s
% 14.03/2.31 % (1362728)Peak memory usage: 13 MB
% 14.03/2.31 % (1362728)Instructions burned: 233 (million)
% 14.03/2.31 % (1362659)Instruction limit reached!
% 14.03/2.31 % (1362659)------------------------------
% 14.03/2.31 % (1362659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.31 % (1362659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.31 % (1362659)CaDiCaL version: 2.1.3
% 14.03/2.31 % (1362659)Termination reason: Instruction limit
% 14.03/2.31 % (1362659)Termination phase: Saturation
% 14.03/2.31 % (1362659)Time elapsed: 0.603 s
% 14.03/2.31 % (1362659)Peak memory usage: 14 MB
% 14.03/2.31 % (1362659)Instructions burned: 874 (million)
% 14.03/2.31 % (1362738)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3048440903:i=575:rtra=on_2985 on theBenchmark for (2985ds/575Mi)
% 14.03/2.31 % (1362740)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=40254096:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2984 on theBenchmark for (2984ds/9840Mi)
% 14.03/2.31 % (1362739)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=238023997:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 14.03/2.31 % (1362727)Instruction limit reached!
% 14.03/2.31 % (1362727)------------------------------
% 14.03/2.31 % (1362727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.31 % (1362727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.31 % (1362727)CaDiCaL version: 2.1.3
% 14.03/2.31 % (1362727)Termination reason: Instruction limit
% 14.03/2.31 % (1362727)Termination phase: Saturation
% 14.03/2.31 % (1362727)Time elapsed: 0.196 s
% 14.03/2.31 % (1362727)Peak memory usage: 13 MB
% 14.03/2.31 % (1362727)Instructions burned: 342 (million)
% 14.03/2.31 % (1362734)Instruction limit reached!
% 14.03/2.31 % (1362734)------------------------------
% 14.03/2.31 % (1362734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.31 % (1362734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.31 % (1362734)CaDiCaL version: 2.1.3
% 14.03/2.31 % (1362734)Termination reason: Instruction limit
% 14.03/2.31 % (1362734)Termination phase: Saturation
% 14.03/2.31 % (1362734)Time elapsed: 0.096 s
% 14.03/2.31 % (1362734)Peak memory usage: 13 MB
% 14.03/2.31 % (1362734)Instructions burned: 119 (million)
% 14.03/2.31 % (1362750)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.03/2.31 % (1362750)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=4250839862:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/270Mi)
% 14.03/2.31 % (1362714)Instruction limit reached!
% 14.03/2.31 % (1362714)------------------------------
% 14.03/2.31 % (1362714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.31 % (1362714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.31 % (1362714)CaDiCaL version: 2.1.3
% 14.03/2.31 % (1362714)Termination reason: Instruction limit
% 14.03/2.31 % (1362714)Termination phase: Saturation
% 14.03/2.31 % (1362714)Time elapsed: 0.300 s
% 14.03/2.31 % (1362714)Peak memory usage: 15 MB
% 14.03/2.31 % (1362714)Instructions burned: 338 (million)
% 14.03/2.31 % (1362749)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=4058210182:i=421:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/421Mi)
% 14.03/2.31 % (1362750)Refutation not found, incomplete strategy
% 14.03/2.31 % (1362750)------------------------------
% 14.03/2.31 % (1362750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.31 % (1362750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.31 % (1362750)CaDiCaL version: 2.1.3
% 14.03/2.31 % (1362750)Termination reason: Refutation not found, incomplete strategy
% 14.03/2.31 % (1362750)Time elapsed: 0.014 s
% 15.81/2.73 % (1362750)Peak memory usage: 13 MB
% 15.81/2.73 % (1362750)Instructions burned: 26 (million)
% 15.81/2.73 % (1362750)------------------------------
% 15.81/2.73 % (1362750)------------------------------
% 15.81/2.73 % (1362752)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1212065976:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/31Mi)
% 15.81/2.73 % (1362755)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 15.81/2.73 % (1362755)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.81/2.73 % (1362755)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=3430913533:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2983 on theBenchmark for (2983ds/1440Mi)
% 15.81/2.73 % (1362752)Instruction limit reached!
% 15.81/2.73 % (1362752)------------------------------
% 15.81/2.73 % (1362752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.81/2.73 % (1362752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/2.73 % (1362752)CaDiCaL version: 2.1.3
% 15.81/2.73 % (1362752)Termination reason: Instruction limit
% 15.81/2.73 % (1362752)Termination phase: Saturation
% 15.81/2.73 % (1362752)Time elapsed: 0.026 s
% 15.81/2.73 % (1362752)Peak memory usage: 12 MB
% 15.81/2.73 % (1362752)Instructions burned: 31 (million)
% 15.81/2.73 % (1362759)dis+10_2_sil=128000:si=on:random_seed=3764208803:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2983 on theBenchmark for (2983ds/339Mi)
% 15.81/2.73 % (1362739)Instruction limit reached!
% 15.81/2.73 % (1362739)------------------------------
% 15.81/2.73 % (1362739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.81/2.73 % (1362739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/2.73 % (1362739)CaDiCaL version: 2.1.3
% 15.81/2.73 % (1362739)Termination reason: Instruction limit
% 15.81/2.73 % (1362739)Termination phase: Saturation
% 15.81/2.73 % (1362739)Time elapsed: 0.202 s
% 15.81/2.73 % (1362739)Peak memory usage: 13 MB
% 15.81/2.73 % (1362739)Instructions burned: 271 (million)
% 15.81/2.73 % (1362733)Instruction limit reached!
% 15.81/2.73 % (1362733)------------------------------
% 15.81/2.73 % (1362733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.81/2.73 % (1362733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/2.73 % (1362733)CaDiCaL version: 2.1.3
% 15.81/2.73 % (1362733)Termination reason: Instruction limit
% 15.81/2.73 % (1362733)Termination phase: Saturation
% 15.81/2.73 % (1362733)Time elapsed: 0.271 s
% 15.81/2.73 % (1362733)Peak memory usage: 13 MB
% 15.81/2.73 % (1362733)Instructions burned: 374 (million)
% 15.81/2.73 % (1362763)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3282764548:i=111:add=on:fgj=on:rtra=on:fdi=1024_2982 on theBenchmark for (2982ds/111Mi)
% 15.81/2.73 % (1362765)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=1634379836:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/122Mi)
% 15.81/2.73 % (1362759)Instruction limit reached!
% 15.81/2.73 % (1362759)------------------------------
% 15.81/2.73 % (1362759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.81/2.73 % (1362759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/2.73 % (1362759)CaDiCaL version: 2.1.3
% 15.81/2.73 % (1362759)Termination reason: Instruction limit
% 15.81/2.73 % (1362759)Termination phase: Saturation
% 15.81/2.73 % (1362759)Time elapsed: 0.149 s
% 15.81/2.73 % (1362759)Peak memory usage: 13 MB
% 15.81/2.73 % (1362759)Instructions burned: 341 (million)
% 15.81/2.73 % (1362765)Instruction limit reached!
% 15.81/2.73 % (1362765)------------------------------
% 15.81/2.73 % (1362765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.81/2.73 % (1362765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/2.73 % (1362765)CaDiCaL version: 2.1.3
% 15.81/2.73 % (1362765)Termination reason: Instruction limit
% 15.81/2.73 % (1362765)Termination phase: Saturation
% 15.81/2.73 % (1362765)Time elapsed: 0.072 s
% 15.81/2.73 % (1362765)Peak memory usage: 14 MB
% 15.81/2.73 % (1362765)Instructions burned: 122 (million)
% 17.56/2.92 % (1362775)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1497377820:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/232Mi)
% 17.56/2.92 % (1362763)Instruction limit reached!
% 17.56/2.92 % (1362763)------------------------------
% 17.56/2.92 % (1362763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.92 % (1362763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.92 % (1362763)CaDiCaL version: 2.1.3
% 17.56/2.92 % (1362763)Termination reason: Instruction limit
% 17.56/2.92 % (1362763)Termination phase: Saturation
% 17.56/2.92 % (1362763)Time elapsed: 0.097 s
% 17.56/2.92 % (1362763)Peak memory usage: 13 MB
% 17.56/2.92 % (1362763)Instructions burned: 111 (million)
% 17.56/2.92 % (1362774)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=3871577573:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/136Mi)
% 17.56/2.92 % (1362778)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=2564656757:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2981 on theBenchmark for (2981ds/1254Mi)
% 17.56/2.92 % (1362738)Instruction limit reached!
% 17.56/2.92 % (1362738)------------------------------
% 17.56/2.92 % (1362738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.92 % (1362738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.92 % (1362738)CaDiCaL version: 2.1.3
% 17.56/2.92 % (1362738)Termination reason: Instruction limit
% 17.56/2.92 % (1362738)Termination phase: Saturation
% 17.56/2.92 % (1362738)Time elapsed: 0.425 s
% 17.56/2.92 % (1362738)Peak memory usage: 14 MB
% 17.56/2.92 % (1362738)Instructions burned: 575 (million)
% 17.56/2.92 % (1362775)Instruction limit reached!
% 17.56/2.92 % (1362775)------------------------------
% 17.56/2.92 % (1362775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.92 % (1362775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.92 % (1362775)CaDiCaL version: 2.1.3
% 17.56/2.92 % (1362775)Termination reason: Instruction limit
% 17.56/2.92 % (1362775)Termination phase: Saturation
% 17.56/2.92 % (1362775)Time elapsed: 0.093 s
% 17.56/2.92 % (1362775)Peak memory usage: 12 MB
% 17.56/2.92 % (1362775)Instructions burned: 234 (million)
% 17.56/2.92 % (1362749)Instruction limit reached!
% 17.56/2.92 % (1362749)------------------------------
% 17.56/2.92 % (1362749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.92 % (1362749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.92 % (1362749)CaDiCaL version: 2.1.3
% 17.56/2.92 % (1362749)Termination reason: Instruction limit
% 17.56/2.92 % (1362749)Termination phase: Saturation
% 17.56/2.92 % (1362749)Time elapsed: 0.349 s
% 17.56/2.92 % (1362749)Peak memory usage: 14 MB
% 17.56/2.92 % (1362749)Instructions burned: 423 (million)
% 17.56/2.92 % (1362784)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 17.56/2.92 % (1362784)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=851825448:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2980 on theBenchmark for (2980ds/281Mi)
% 17.56/2.92 % (1362786)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=2787194052:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/865Mi)
% 17.56/2.92 % (1362774)Instruction limit reached!
% 17.56/2.92 % (1362774)------------------------------
% 17.56/2.92 % (1362774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/2.92 % (1362774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/2.92 % (1362774)CaDiCaL version: 2.1.3
% 17.56/2.92 % (1362774)Termination reason: Instruction limit
% 17.56/2.92 % (1362774)Termination phase: Saturation
% 17.56/2.92 % (1362774)Time elapsed: 0.114 s
% 17.56/2.92 % (1362774)Peak memory usage: 13 MB
% 17.56/2.92 % (1362774)Instructions burned: 136 (million)
% 17.56/2.92 % (1362785)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3455890018:i=619:add=on:rtra=on_2980 on theBenchmark for (2980ds/619Mi)
% 17.56/2.92 % (1362790)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1095052765:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/212Mi)
% 20.30/3.18 % (1362784)Instruction limit reached!
% 20.30/3.18 % (1362784)------------------------------
% 20.30/3.18 % (1362784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.18 % (1362784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.18 % (1362784)CaDiCaL version: 2.1.3
% 20.30/3.18 % (1362784)Termination reason: Instruction limit
% 20.30/3.18 % (1362784)Termination phase: Saturation
% 20.30/3.18 % (1362784)Time elapsed: 0.165 s
% 20.30/3.18 % (1362784)Peak memory usage: 13 MB
% 20.30/3.18 % (1362784)Instructions burned: 282 (million)
% 20.30/3.18 % (1362795)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=4141163780:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/130Mi)
% 20.30/3.18 % (1362790)Instruction limit reached!
% 20.30/3.18 % (1362790)------------------------------
% 20.30/3.18 % (1362790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.18 % (1362790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.18 % (1362790)CaDiCaL version: 2.1.3
% 20.30/3.18 % (1362790)Termination reason: Instruction limit
% 20.30/3.18 % (1362790)Termination phase: Saturation
% 20.30/3.18 % (1362790)Time elapsed: 0.179 s
% 20.30/3.18 % (1362790)Peak memory usage: 14 MB
% 20.30/3.18 % (1362790)Instructions burned: 213 (million)
% 20.30/3.18 % (1362797)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2631177697:st=1.5:i=346:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/346Mi)
% 20.30/3.18 % (1362795)Instruction limit reached!
% 20.30/3.18 % (1362795)------------------------------
% 20.30/3.18 % (1362795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.18 % (1362795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.18 % (1362795)CaDiCaL version: 2.1.3
% 20.30/3.18 % (1362795)Termination reason: Instruction limit
% 20.30/3.18 % (1362795)Termination phase: Saturation
% 20.30/3.18 % (1362795)Time elapsed: 0.114 s
% 20.30/3.18 % (1362795)Peak memory usage: 12 MB
% 20.30/3.18 % (1362795)Instructions burned: 130 (million)
% 20.30/3.18 % (1362801)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4001674571:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2977 on theBenchmark for (2977ds/152Mi)
% 20.30/3.18 % (1362786)Instruction limit reached!
% 20.30/3.18 % (1362786)------------------------------
% 20.30/3.18 % (1362786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.18 % (1362786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.18 % (1362786)CaDiCaL version: 2.1.3
% 20.30/3.18 % (1362786)Termination reason: Instruction limit
% 20.30/3.18 % (1362786)Termination phase: Saturation
% 20.30/3.18 % (1362786)Time elapsed: 0.406 s
% 20.30/3.18 % (1362786)Peak memory usage: 18 MB
% 20.30/3.18 % (1362786)Instructions burned: 865 (million)
% 20.30/3.18 % (1362805)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3783253831:i=75:ep=R:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/75Mi)
% 20.30/3.18 % (1362801)Instruction limit reached!
% 20.30/3.18 % (1362801)------------------------------
% 20.30/3.18 % (1362801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.18 % (1362801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.18 % (1362801)CaDiCaL version: 2.1.3
% 20.30/3.18 % (1362801)Termination reason: Instruction limit
% 20.30/3.18 % (1362801)Termination phase: Saturation
% 20.30/3.18 % (1362801)Time elapsed: 0.089 s
% 20.30/3.18 % (1362801)Peak memory usage: 13 MB
% 20.30/3.18 % (1362801)Instructions burned: 153 (million)
% 20.30/3.18 % (1362807)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2118621451:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/387Mi)
% 20.30/3.18 % (1362785)Instruction limit reached!
% 20.30/3.18 % (1362785)------------------------------
% 20.30/3.18 % (1362785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.18 % (1362785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.18 % (1362785)CaDiCaL version: 2.1.3
% 20.30/3.18 % (1362785)Termination reason: Instruction limit
% 20.30/3.18 % (1362785)Termination phase: Saturation
% 20.30/3.18 % (1362785)Time elapsed: 0.451 s
% 20.30/3.18 % (1362785)Peak memory usage: 14 MB
% 20.30/3.18 % (1362785)Instructions burned: 620 (million)
% 22.51/3.51 % (1362805)Instruction limit reached!
% 22.51/3.51 % (1362805)------------------------------
% 22.51/3.51 % (1362805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.51 % (1362805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.51 % (1362805)CaDiCaL version: 2.1.3
% 22.51/3.51 % (1362805)Termination reason: Instruction limit
% 22.51/3.51 % (1362805)Termination phase: Saturation
% 22.51/3.51 % (1362805)Time elapsed: 0.034 s
% 22.51/3.51 % (1362805)Peak memory usage: 12 MB
% 22.51/3.51 % (1362805)Instructions burned: 76 (million)
% 22.51/3.51 % (1362810)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=117098904:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2975 on theBenchmark for (2975ds/148Mi)
% 22.51/3.51 % (1362811)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=588801122:i=161:piset=and:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/161Mi)
% 22.51/3.51 % (1362797)Instruction limit reached!
% 22.51/3.51 % (1362797)------------------------------
% 22.51/3.51 % (1362797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.51 % (1362797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.51 % (1362797)CaDiCaL version: 2.1.3
% 22.51/3.51 % (1362797)Termination reason: Instruction limit
% 22.51/3.51 % (1362797)Termination phase: Saturation
% 22.51/3.51 % (1362797)Time elapsed: 0.284 s
% 22.51/3.51 % (1362797)Peak memory usage: 13 MB
% 22.51/3.51 % (1362797)Instructions burned: 346 (million)
% 22.51/3.51 % (1362815)lrs+10_1_sil=128000:si=on:random_seed=1288243545:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/888Mi)
% 22.51/3.51 % (1362810)Instruction limit reached!
% 22.51/3.51 % (1362810)------------------------------
% 22.51/3.51 % (1362810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.51 % (1362810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.51 % (1362810)CaDiCaL version: 2.1.3
% 22.51/3.51 % (1362810)Termination reason: Instruction limit
% 22.51/3.51 % (1362810)Termination phase: Saturation
% 22.51/3.51 % (1362810)Time elapsed: 0.095 s
% 22.51/3.51 % (1362810)Peak memory usage: 12 MB
% 22.51/3.51 % (1362810)Instructions burned: 149 (million)
% 22.51/3.51 % (1362817)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=580521022:i=136:add=on:ins=4:rtra=on:sup=off_2974 on theBenchmark for (2974ds/136Mi)
% 22.51/3.51 % (1362807)Instruction limit reached!
% 22.51/3.51 % (1362807)------------------------------
% 22.51/3.51 % (1362807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.51 % (1362807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.51 % (1362807)CaDiCaL version: 2.1.3
% 22.51/3.51 % (1362807)Termination reason: Instruction limit
% 22.51/3.51 % (1362807)Termination phase: Saturation
% 22.51/3.51 % (1362807)Time elapsed: 0.165 s
% 22.51/3.51 % (1362807)Peak memory usage: 13 MB
% 22.51/3.51 % (1362807)Instructions burned: 389 (million)
% 22.51/3.51 % (1362817)Refutation not found, incomplete strategy
% 22.51/3.51 % (1362817)------------------------------
% 22.51/3.51 % (1362817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.51 % (1362817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.51 % (1362817)CaDiCaL version: 2.1.3
% 22.51/3.51 % (1362817)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.51 % (1362817)Time elapsed: 0.027 s
% 22.51/3.51 % (1362817)Peak memory usage: 13 MB
% 22.51/3.51 % (1362817)Instructions burned: 30 (million)
% 22.51/3.51 % (1362817)------------------------------
% 22.51/3.51 % (1362817)------------------------------
% 22.51/3.51 % (1362811)Instruction limit reached!
% 22.51/3.51 % (1362811)------------------------------
% 22.51/3.51 % (1362811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.51 % (1362811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.51 % (1362811)CaDiCaL version: 2.1.3
% 22.51/3.51 % (1362811)Termination reason: Instruction limit
% 22.51/3.51 % (1362811)Termination phase: Saturation
% 22.51/3.51 % (1362811)Time elapsed: 0.153 s
% 22.51/3.51 % (1362811)Peak memory usage: 13 MB
% 22.51/3.51 % (1362811)Instructions burned: 161 (million)
% 22.51/3.51 % (1362822)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=907015160:i=88:s2at=3:nm=2:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/88Mi)
% 23.40/3.71 % (1362823)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1142605763:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2973 on theBenchmark for (2973ds/93Mi)
% 23.40/3.71 % (1362825)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2721933272:i=2186:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/2186Mi)
% 23.40/3.71 % (1362822)Instruction limit reached!
% 23.40/3.71 % (1362822)------------------------------
% 23.40/3.71 % (1362822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.40/3.71 % (1362822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.40/3.71 % (1362822)CaDiCaL version: 2.1.3
% 23.40/3.71 % (1362822)Termination reason: Instruction limit
% 23.40/3.71 % (1362822)Termination phase: Saturation
% 23.40/3.71 % (1362822)Time elapsed: 0.073 s
% 23.40/3.71 % (1362822)Peak memory usage: 13 MB
% 23.40/3.71 % (1362822)Instructions burned: 89 (million)
% 23.40/3.71 % (1362823)Instruction limit reached!
% 23.40/3.71 % (1362823)------------------------------
% 23.40/3.71 % (1362823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.40/3.71 % (1362823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.40/3.71 % (1362823)CaDiCaL version: 2.1.3
% 23.40/3.71 % (1362823)Termination reason: Instruction limit
% 23.40/3.71 % (1362823)Termination phase: Saturation
% 23.40/3.71 % (1362823)Time elapsed: 0.076 s
% 23.40/3.71 % (1362823)Peak memory usage: 12 MB
% 23.40/3.71 % (1362823)Instructions burned: 94 (million)
% 23.40/3.71 % (1362835)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3026919233:s2a=on:i=240:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/240Mi)
% 23.40/3.71 % (1362836)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=892318757:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/805Mi)
% 23.40/3.71 % (1362755)Instruction limit reached!
% 23.40/3.71 % (1362755)------------------------------
% 23.40/3.71 % (1362755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.40/3.71 % (1362755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.40/3.71 % (1362755)CaDiCaL version: 2.1.3
% 23.40/3.71 % (1362755)Termination reason: Instruction limit
% 23.40/3.71 % (1362755)Termination phase: Saturation
% 23.40/3.71 % (1362755)Time elapsed: 1.129 s
% 23.40/3.71 % (1362755)Peak memory usage: 15 MB
% 23.40/3.71 % (1362755)Instructions burned: 1441 (million)
% 23.40/3.71 % (1362839)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 23.40/3.71 % (1362839)dis+1002_1_to=lpo:sil=128000:cnfonf=conj_eager:si=on:sp=unary_first:spb=intro:urr=on:cbe=off:uwa=one_side_interpreted:rp=on:avsqc=1:random_seed=2223107256:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2972 on theBenchmark for (2972ds/391Mi)
% 23.40/3.71 % (1362836)Refutation not found, incomplete strategy
% 23.40/3.71 % (1362836)------------------------------
% 23.40/3.71 % (1362836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.40/3.71 % (1362836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.40/3.71 % (1362836)CaDiCaL version: 2.1.3
% 23.40/3.71 % (1362836)Termination reason: Refutation not found, incomplete strategy
% 23.40/3.71 % (1362836)Time elapsed: 0.088 s
% 23.40/3.71 % (1362836)Peak memory usage: 13 MB
% 23.40/3.71 % (1362836)Instructions burned: 95 (million)
% 23.40/3.71 % (1362836)------------------------------
% 23.40/3.71 % (1362836)------------------------------
% 23.40/3.71 % (1362847)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1894092727:i=355:av=off:fsr=off:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/355Mi)
% 23.40/3.71 % (1362778)Instruction limit reached!
% 23.40/3.71 % (1362778)------------------------------
% 23.40/3.71 % (1362778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.40/3.71 % (1362778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.40/3.71 % (1362778)CaDiCaL version: 2.1.3
% 23.40/3.71 % (1362778)Termination reason: Instruction limit
% 23.40/3.71 % (1362778)Termination phase: Saturation
% 23.40/3.71 % (1362778)Time elapsed: 0.996 s
% 23.40/3.71 % (1362778)Peak memory usage: 16 MB
% 23.40/3.71 % (1362778)Instructions burned: 1254 (million)
% 23.40/3.71 % (1362835)Instruction limit reached!
% 24.25/3.92 % (1362835)------------------------------
% 24.25/3.92 % (1362835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.25/3.92 % (1362835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.25/3.92 % (1362835)CaDiCaL version: 2.1.3
% 24.25/3.92 % (1362835)Termination reason: Instruction limit
% 24.25/3.92 % (1362835)Termination phase: Saturation
% 24.25/3.92 % (1362835)Time elapsed: 0.158 s
% 24.25/3.92 % (1362835)Peak memory usage: 13 MB
% 24.25/3.92 % (1362835)Instructions burned: 240 (million)
% 24.25/3.92 % (1362851)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2206515212:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/314Mi)
% 24.25/3.92 % (1362852)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1575972577:s2a=on:i=251:fsr=off:rtra=on_2970 on theBenchmark for (2970ds/251Mi)
% 24.25/3.92 % (1362839)Instruction limit reached!
% 24.25/3.92 % (1362839)------------------------------
% 24.25/3.92 % (1362839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.25/3.92 % (1362839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.25/3.92 % (1362839)CaDiCaL version: 2.1.3
% 24.25/3.92 % (1362839)Termination reason: Instruction limit
% 24.25/3.92 % (1362839)Termination phase: Saturation
% 24.25/3.92 % (1362839)Time elapsed: 0.243 s
% 24.25/3.92 % (1362839)Peak memory usage: 14 MB
% 24.25/3.92 % (1362839)Instructions burned: 392 (million)
% 24.25/3.92 % (1362863)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=279472948:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2969 on theBenchmark for (2969ds/2470Mi)
% 24.25/3.92 % (1362852)Instruction limit reached!
% 24.25/3.92 % (1362852)------------------------------
% 24.25/3.92 % (1362852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.25/3.92 % (1362852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.25/3.92 % (1362852)CaDiCaL version: 2.1.3
% 24.25/3.92 % (1362852)Termination reason: Instruction limit
% 24.25/3.92 % (1362852)Termination phase: Saturation
% 24.25/3.92 % (1362852)Time elapsed: 0.200 s
% 24.25/3.92 % (1362852)Peak memory usage: 14 MB
% 24.25/3.92 % (1362852)Instructions burned: 251 (million)
% 24.25/3.92 % (1362865)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2403308963:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2968 on theBenchmark for (2968ds/673Mi)
% 24.25/3.92 % (1362847)Instruction limit reached!
% 24.25/3.92 % (1362847)------------------------------
% 24.25/3.92 % (1362847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.25/3.92 % (1362847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.25/3.92 % (1362847)CaDiCaL version: 2.1.3
% 24.25/3.92 % (1362847)Termination reason: Instruction limit
% 24.25/3.92 % (1362847)Termination phase: Saturation
% 24.25/3.92 % (1362847)Time elapsed: 0.285 s
% 24.25/3.92 % (1362847)Peak memory usage: 13 MB
% 24.25/3.92 % (1362847)Instructions burned: 356 (million)
% 24.25/3.92 % (1362851)Instruction limit reached!
% 24.25/3.92 % (1362851)------------------------------
% 24.25/3.92 % (1362851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.25/3.92 % (1362851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.25/3.92 % (1362851)CaDiCaL version: 2.1.3
% 24.25/3.92 % (1362851)Termination reason: Instruction limit
% 24.25/3.92 % (1362851)Termination phase: Saturation
% 24.25/3.92 % (1362851)Time elapsed: 0.252 s
% 24.25/3.92 % (1362851)Peak memory usage: 13 MB
% 24.25/3.92 % (1362851)Instructions burned: 314 (million)
% 24.25/3.92 % (1362868)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3655730303:i=116:ep=RSTC:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/116Mi)
% 24.25/3.92 % (1362869)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3732595228:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2968 on theBenchmark for (2968ds/270Mi)
% 24.25/3.92 % (1362815)Instruction limit reached!
% 24.25/3.92 % (1362815)------------------------------
% 24.25/3.92 % (1362815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.25/3.92 % (1362815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362815)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362815)Termination reason: Instruction limit
% 26.55/4.12 % (1362815)Termination phase: Saturation
% 26.55/4.12 % (1362815)Time elapsed: 0.671 s
% 26.55/4.12 % (1362815)Peak memory usage: 17 MB
% 26.55/4.12 % (1362815)Instructions burned: 889 (million)
% 26.55/4.12 % (1362873)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=2762940684:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2967 on theBenchmark for (2967ds/30Mi)
% 26.55/4.12 % (1362873)Instruction limit reached!
% 26.55/4.12 % (1362873)------------------------------
% 26.55/4.12 % (1362873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362873)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362873)Termination reason: Instruction limit
% 26.55/4.12 % (1362873)Termination phase: Saturation
% 26.55/4.12 % (1362873)Time elapsed: 0.028 s
% 26.55/4.12 % (1362873)Peak memory usage: 12 MB
% 26.55/4.12 % (1362873)Instructions burned: 31 (million)
% 26.55/4.12 % (1362868)Instruction limit reached!
% 26.55/4.12 % (1362868)------------------------------
% 26.55/4.12 % (1362868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362868)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362868)Termination reason: Instruction limit
% 26.55/4.12 % (1362868)Termination phase: Saturation
% 26.55/4.12 % (1362868)Time elapsed: 0.096 s
% 26.55/4.12 % (1362868)Peak memory usage: 13 MB
% 26.55/4.12 % (1362868)Instructions burned: 116 (million)
% 26.55/4.12 % (1362877)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 26.55/4.12 % (1362877)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4164163802:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2967 on theBenchmark for (2967ds/39Mi)
% 26.55/4.12 % (1362879)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3859409362:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2966 on theBenchmark for (2966ds/365Mi)
% 26.55/4.12 % (1362877)Instruction limit reached!
% 26.55/4.12 % (1362877)------------------------------
% 26.55/4.12 % (1362877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362877)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362877)Termination reason: Instruction limit
% 26.55/4.12 % (1362877)Termination phase: Saturation
% 26.55/4.12 % (1362877)Time elapsed: 0.033 s
% 26.55/4.12 % (1362877)Peak memory usage: 12 MB
% 26.55/4.12 % (1362877)Instructions burned: 39 (million)
% 26.55/4.12 % (1362884)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=113456259:i=158:av=off:rtra=on_2966 on theBenchmark for (2966ds/158Mi)
% 26.55/4.12 % (1362869)Instruction limit reached!
% 26.55/4.12 % (1362869)------------------------------
% 26.55/4.12 % (1362869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362869)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362869)Termination reason: Instruction limit
% 26.55/4.12 % (1362869)Termination phase: Saturation
% 26.55/4.12 % (1362869)Time elapsed: 0.176 s
% 26.55/4.12 % (1362869)Peak memory usage: 13 MB
% 26.55/4.12 % (1362869)Instructions burned: 271 (million)
% 26.55/4.12 % (1362887)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 26.55/4.12 % (1362887)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=3485007648:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/252Mi)
% 26.55/4.12 % (1362887)Refutation not found, incomplete strategy
% 26.55/4.12 % (1362887)------------------------------
% 26.55/4.12 % (1362887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362887)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362887)Termination reason: Refutation not found, incomplete strategy
% 26.55/4.12 % (1362887)Time elapsed: 0.017 s
% 26.55/4.12 % (1362887)Peak memory usage: 12 MB
% 26.55/4.12 % (1362887)Instructions burned: 26 (million)
% 26.55/4.12 % (1362887)------------------------------
% 26.55/4.12 % (1362887)------------------------------
% 26.55/4.12 % (1362890)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2459634998:i=213:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/213Mi)
% 26.55/4.12 % (1362884)Instruction limit reached!
% 26.55/4.12 % (1362884)------------------------------
% 26.55/4.12 % (1362884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362884)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362884)Termination reason: Instruction limit
% 26.55/4.12 % (1362884)Termination phase: Saturation
% 26.55/4.12 % (1362884)Time elapsed: 0.118 s
% 26.55/4.12 % (1362884)Peak memory usage: 12 MB
% 26.55/4.12 % (1362884)Instructions burned: 158 (million)
% 26.55/4.12 % (1362895)dis+1010_28_sil=128000:tgt=full:plsq=on:plsqc=1:cnfonf=off:si=on:plsqr=128,1:uwa=off:slsqc=2:sac=on:slsq=on:random_seed=3498595051:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2964 on theBenchmark for (2964ds/160Mi)
% 26.55/4.12 % (1362895)Refutation not found, incomplete strategy
% 26.55/4.12 % (1362895)------------------------------
% 26.55/4.12 % (1362895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362895)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362895)Termination reason: Refutation not found, incomplete strategy
% 26.55/4.12 % (1362895)Time elapsed: 0.031 s
% 26.55/4.12 % (1362895)Peak memory usage: 12 MB
% 26.55/4.12 % (1362895)Instructions burned: 41 (million)
% 26.55/4.12 % (1362895)------------------------------
% 26.55/4.12 % (1362895)------------------------------
% 26.55/4.12 % (1362900)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=440674148:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/763Mi)
% 26.55/4.12 % (1362890)Instruction limit reached!
% 26.55/4.12 % (1362890)------------------------------
% 26.55/4.12 % (1362890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362890)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362890)Termination reason: Instruction limit
% 26.55/4.12 % (1362890)Termination phase: Saturation
% 26.55/4.12 % (1362890)Time elapsed: 0.140 s
% 26.55/4.12 % (1362890)Peak memory usage: 12 MB
% 26.55/4.12 % (1362890)Instructions burned: 214 (million)
% 26.55/4.12 % (1362900)Refutation not found, incomplete strategy
% 26.55/4.12 % (1362900)------------------------------
% 26.55/4.12 % (1362900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362900)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362900)Termination reason: Refutation not found, incomplete strategy
% 26.55/4.12 % (1362900)Time elapsed: 0.008 s
% 26.55/4.12 % (1362900)Peak memory usage: 12 MB
% 26.55/4.12 % (1362900)Instructions burned: 13 (million)
% 26.55/4.12 % (1362900)------------------------------
% 26.55/4.12 % (1362900)------------------------------
% 26.55/4.12 % (1362903)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 26.55/4.12 % (1362903)ott+1010_40_sil=128000:tgt=full:plsq=on:plsqc=5:si=on:sos=all:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1357446067:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2964 on theBenchmark for (2964ds/237Mi)
% 26.55/4.12 % (1362905)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3058574975:s2a=on:i=386:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/386Mi)
% 26.55/4.12 % (1362879)Instruction limit reached!
% 26.55/4.12 % (1362879)------------------------------
% 26.55/4.12 % (1362879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362879)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362879)Termination reason: Instruction limit
% 26.55/4.12 % (1362879)Termination phase: Saturation
% 26.55/4.12 % (1362879)Time elapsed: 0.302 s
% 26.55/4.12 % (1362879)Peak memory usage: 13 MB
% 26.55/4.12 % (1362879)Instructions burned: 365 (million)
% 26.55/4.12 % (1362909)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2432073514:i=300:piset=and:nm=32:rtra=on_2963 on theBenchmark for (2963ds/300Mi)
% 26.55/4.12 % (1362865)Instruction limit reached!
% 26.55/4.12 % (1362865)------------------------------
% 26.55/4.12 % (1362865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362865)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362865)Termination reason: Instruction limit
% 26.55/4.12 % (1362865)Termination phase: Saturation
% 26.55/4.12 % (1362865)Time elapsed: 0.536 s
% 26.55/4.12 % (1362865)Peak memory usage: 15 MB
% 26.55/4.12 % (1362865)Instructions burned: 673 (million)
% 26.55/4.12 % (1362911)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2309537486:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2963 on theBenchmark for (2963ds/567Mi)
% 26.55/4.12 % (1362825) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1362442-1362825"...
% 26.55/4.12 % (1362903)Instruction limit reached!
% 26.55/4.12 % (1362903)------------------------------
% 26.55/4.12 % (1362903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.12 % (1362903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.12 % (1362903)CaDiCaL version: 2.1.3
% 26.55/4.12 % (1362903)Termination reason: Instruction limit
% 26.55/4.12 % (1362903)Termination phase: Saturation
% 26.55/4.12 % (1362903)Time elapsed: 0.205 s
% 26.55/4.12 % (1362903)Peak memory usage: 12 MB
% 26.55/4.12 % (1362903)Instructions burned: 237 (million)
% 26.55/4.12 % (1362825)...printing done.
% 26.55/4.12 % (1362825)Refutation found. Thanks to Tanya!
% 26.55/4.12 % SZS status Theorem for theBenchmark
% 26.55/4.12 % SZS output start Proof for theBenchmark
% See solution above
% 26.55/4.13 % (1362825)------------------------------
% 26.55/4.13 % (1362825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.55/4.13 % (1362825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.55/4.13 % (1362825)CaDiCaL version: 2.1.3
% 26.55/4.13 % (1362825)Termination reason: Refutation
% 26.55/4.13 % (1362825)Time elapsed: 1.162 s
% 26.55/4.13 % (1362825)Peak memory usage: 17 MB
% 26.55/4.13 % (1362825)Instructions burned: 1527 (million)
% 26.55/4.13 % (1362442)Success in time 3.839 s
% 26.55/4.13 % Vampire exiting
%------------------------------------------------------------------------------