%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV153^5 : 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 : n020.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 08:37:54 AM UTC 2026
% Result : Theorem 14.33s 2.91s
% Output : Refutation 14.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of formulae : 303 ( 26 unt; 0 typ; 16 def)
% Number of atoms : 2923 ( 246 equ; 0 cnn)
% Maximal formula atoms : 6 ( 9 avg)
% Number of connectives : 8697 ( 487 ~; 928 |; 572 &;4910 @)
% ( 16 <=>; 824 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 470 ( 470 >; 0 *; 0 +; 0 <<)
% Number of symbols : 66 ( 62 usr; 43 con; 0-4 aty)
% ( 960 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1147 ( 0 sgn 153 !; 0 ?;1147 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vNOT: $o > $o ).
thf(func_def_2,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
vOR: $o > $o > $o ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
vIMP: $o > $o > $o ).
thf(func_def_6,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_11,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK0: a ).
thf(func_def_18,type,
sK1: a ).
thf(func_def_19,type,
sK2: a > a > $o ).
thf(func_def_20,type,
sK3: a > a > $o ).
thf(func_def_21,type,
sK4: a > $o ).
thf(func_def_23,type,
sK6: a ).
thf(func_def_24,type,
sK7: a ).
thf(func_def_25,type,
sK8: a ).
thf(func_def_26,type,
sK9: a > $o ).
thf(func_def_27,type,
sK10: a ).
thf(func_def_28,type,
sK11: a ).
thf(func_def_29,type,
sK12: a ).
thf(func_def_30,type,
sK13: a ).
thf(func_def_31,type,
sK14: a ).
thf(func_def_32,type,
sK15: a > $o ).
thf(func_def_33,type,
sK16: a > $o ).
thf(func_def_34,type,
sK17: a ).
thf(func_def_35,type,
sK18: a > $o ).
thf(func_def_36,type,
sK19: a ).
thf(func_def_37,type,
sK20: a ).
thf(func_def_38,type,
sK21: a ).
thf(func_def_39,type,
sK22: a ).
thf(func_def_40,type,
sK23: a ).
thf(func_def_41,type,
sK24: a ).
thf(func_def_42,type,
sK25: a ).
thf(func_def_43,type,
sK26: a ).
thf(func_def_44,type,
sK27: a ).
thf(func_def_45,type,
sK28: a ).
thf(func_def_46,type,
sK29: a ).
thf(func_def_47,type,
sK30: a ).
thf(func_def_48,type,
sK31: a ).
thf(f1,conjecture,
! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) )
| ( ! [X8: a,X9: a,X10: a] :
( ( ! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ( X1 @ X8 @ X5 )
| ( X0 @ X8 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X9 ) )
& ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X9 @ X5 )
| ( X1 @ X9 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( X4 @ X6 )
& ( ( X0 @ X6 @ X7 )
| ( X1 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X10 ) ) )
=> ! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ( X0 @ X8 @ X5 )
| ( X1 @ X8 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X10 ) ) )
& ~ ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) )
& ! [X8: a,X9: a] :
( ( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X0 @ X8 @ X5 )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X9 ) )
| ! [X4: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X1 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( X1 @ X8 @ X5 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X9 ) ) )
=> ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X1 @ X8 @ X5 )
| ( X0 @ X8 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X9 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM251H_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) )
| ( ! [X8: a,X9: a,X10: a] :
( ( ! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ( X1 @ X8 @ X5 )
| ( X0 @ X8 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X9 ) )
& ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X9 @ X5 )
| ( X1 @ X9 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( X4 @ X6 )
& ( ( X0 @ X6 @ X7 )
| ( X1 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X10 ) ) )
=> ! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ( X0 @ X8 @ X5 )
| ( X1 @ X8 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X10 ) ) )
& ~ ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) )
& ! [X8: a,X9: a] :
( ( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( X0 @ X8 @ X5 )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X9 ) )
| ! [X4: a > $o] :
( ( ! [X7: a,X6: a] :
( ( ( X1 @ X6 @ X7 )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( X1 @ X8 @ X5 )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X9 ) ) )
=> ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X1 @ X8 @ X5 )
| ( X0 @ X8 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X7: a,X6: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X9 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ! [X4: a > $o] :
( ( ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( ( X1 @ X6 @ X7 )
| ( X0 @ X6 @ X7 ) )
& ( X4 @ X6 ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) )
| ( ! [X8: a,X9: a,X10: a] :
( ( ! [X11: a > $o] :
( ( ! [X12: a,X13: a] :
( ( ( X11 @ X12 )
& ( ( X1 @ X12 @ X13 )
| ( X0 @ X12 @ X13 ) ) )
=> ( X11 @ X13 ) )
& ! [X14: a] :
( ( ( X1 @ X8 @ X14 )
| ( X0 @ X8 @ X14 ) )
=> ( X11 @ X14 ) ) )
=> ( X11 @ X9 ) )
& ! [X15: a > $o] :
( ( ! [X16: a] :
( ( ( X0 @ X9 @ X16 )
| ( X1 @ X9 @ X16 ) )
=> ( X15 @ X16 ) )
& ! [X17: a,X18: a] :
( ( ( X15 @ X18 )
& ( ( X0 @ X18 @ X17 )
| ( X1 @ X18 @ X17 ) ) )
=> ( X15 @ X17 ) ) )
=> ( X15 @ X10 ) ) )
=> ! [X19: a > $o] :
( ( ! [X20: a,X21: a] :
( ( ( X19 @ X20 )
& ( ( X1 @ X20 @ X21 )
| ( X0 @ X20 @ X21 ) ) )
=> ( X19 @ X21 ) )
& ! [X22: a] :
( ( ( X0 @ X8 @ X22 )
| ( X1 @ X8 @ X22 ) )
=> ( X19 @ X22 ) ) )
=> ( X19 @ X10 ) ) )
& ~ ! [X23: a > $o] :
( ( ! [X24: a] :
( ( ( X0 @ X2 @ X24 )
| ( X1 @ X2 @ X24 ) )
=> ( X23 @ X24 ) )
& ! [X25: a,X26: a] :
( ( ( ( X1 @ X25 @ X26 )
| ( X0 @ X25 @ X26 ) )
& ( X23 @ X25 ) )
=> ( X23 @ X26 ) ) )
=> ( X23 @ X3 ) )
& ! [X27: a,X28: a] :
( ( ! [X29: a > $o] :
( ( ! [X30: a] :
( ( X0 @ X27 @ X30 )
=> ( X29 @ X30 ) )
& ! [X31: a,X32: a] :
( ( ( X0 @ X32 @ X31 )
& ( X29 @ X32 ) )
=> ( X29 @ X31 ) ) )
=> ( X29 @ X28 ) )
| ! [X33: a > $o] :
( ( ! [X34: a,X35: a] :
( ( ( X1 @ X35 @ X34 )
& ( X33 @ X35 ) )
=> ( X33 @ X34 ) )
& ! [X36: a] :
( ( X1 @ X27 @ X36 )
=> ( X33 @ X36 ) ) )
=> ( X33 @ X28 ) ) )
=> ! [X37: a > $o] :
( ( ! [X38: a] :
( ( ( X1 @ X27 @ X38 )
| ( X0 @ X27 @ X38 ) )
=> ( X37 @ X38 ) )
& ! [X39: a,X40: a] :
( ( ( ( X1 @ X40 @ X39 )
| ( X0 @ X40 @ X39 ) )
& ( X37 @ X40 ) )
=> ( X37 @ X39 ) ) )
=> ( X37 @ X28 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y2 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y3 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( ( Y3 @ Y7 @ Y8 )
| ( Y2 @ Y7 @ Y8 ) ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( ( Y3 @ Y5 @ Y7 )
| ( Y2 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y2 @ Y8 @ Y9 )
| ( Y3 @ Y8 @ Y9 ) )
& ( Y7 @ Y8 ) )
=> ( Y7 @ Y9 ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y5 @ Y8 )
| ( Y3 @ Y5 @ Y8 ) )
=> ( Y7 @ Y8 ) ) ) )
=> ( Y7 @ Y4 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y3 @ Y6 @ Y8 )
| ( Y2 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y6 @ Y8 )
| ( Y3 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y4 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y2 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y3 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( ( Y3 @ Y7 @ Y8 )
| ( Y2 @ Y7 @ Y8 ) ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( ( Y3 @ Y5 @ Y7 )
| ( Y2 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y2 @ Y8 @ Y9 )
| ( Y3 @ Y8 @ Y9 ) )
& ( Y7 @ Y8 ) )
=> ( Y7 @ Y9 ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y5 @ Y8 )
| ( Y3 @ Y5 @ Y8 ) )
=> ( Y7 @ Y8 ) ) ) )
=> ( Y7 @ Y4 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y3 @ Y6 @ Y8 )
| ( Y2 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y6 @ Y8 )
| ( Y3 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y4 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y2 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y3 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( ( Y3 @ Y7 @ Y8 )
| ( Y2 @ Y7 @ Y8 ) ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( ( Y3 @ Y5 @ Y7 )
| ( Y2 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y2 @ Y8 @ Y9 )
| ( Y3 @ Y8 @ Y9 ) )
& ( Y7 @ Y8 ) )
=> ( Y7 @ Y9 ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y5 @ Y8 )
| ( Y3 @ Y5 @ Y8 ) )
=> ( Y7 @ Y8 ) ) ) )
=> ( Y7 @ Y4 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y3 @ Y6 @ Y8 )
| ( Y2 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y6 @ Y8 )
| ( Y3 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y4 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( Y2 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y2 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y3 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y3 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( ( Y3 @ Y7 @ Y8 )
| ( Y2 @ Y7 @ Y8 ) ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( ( Y3 @ Y5 @ Y7 )
| ( Y2 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y4 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y2 @ Y8 @ Y9 )
| ( Y3 @ Y8 @ Y9 ) )
& ( Y7 @ Y8 ) )
=> ( Y7 @ Y9 ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y5 @ Y8 )
| ( Y3 @ Y5 @ Y8 ) )
=> ( Y7 @ Y8 ) ) ) )
=> ( Y7 @ Y4 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y3 @ Y6 @ Y8 )
| ( Y2 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( ( Y2 @ Y6 @ Y8 )
| ( Y3 @ Y6 @ Y8 ) )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( ( Y3 @ Y9 @ Y8 )
| ( Y2 @ Y9 @ Y8 ) )
& ( Y7 @ Y9 ) )
=> ( Y7 @ Y8 ) ) ) ) )
=> ( Y7 @ Y4 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y6 )
& ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y1 @ Y5 )
| ( Y3 @ Y1 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y0 ) ) ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f8]) ).
thf(f12,plain,
( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( Y1 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( Y2 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( ( Y2 @ Y6 @ Y7 )
| ( Y1 @ Y6 @ Y7 ) ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( ( Y2 @ Y4 @ Y6 )
| ( Y1 @ Y4 @ Y6 ) )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y3 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y5 )
& ( ( Y2 @ Y5 @ Y4 )
| ( Y1 @ Y5 @ Y4 ) ) )
=> ( Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y0 @ Y4 )
| ( Y2 @ Y0 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( ( Y1 @ Y7 @ Y8 )
| ( Y2 @ Y7 @ Y8 ) )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( ( Y1 @ Y4 @ Y7 )
| ( Y2 @ Y4 @ Y7 ) )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( ( Y2 @ Y5 @ Y7 )
| ( Y1 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( ( Y2 @ Y8 @ Y7 )
| ( Y1 @ Y8 @ Y7 ) )
& ( Y6 @ Y8 ) )
=> ( Y6 @ Y7 ) ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( ( Y1 @ Y5 @ Y7 )
| ( Y2 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( ( Y2 @ Y8 @ Y7 )
| ( Y1 @ Y8 @ Y7 ) )
& ( Y6 @ Y8 ) )
=> ( Y6 @ Y7 ) ) ) ) )
=> ( Y6 @ Y3 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y5 )
& ( ( Y2 @ Y5 @ Y4 )
| ( Y1 @ Y5 @ Y4 ) ) )
=> ( Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y0 @ Y4 )
| ( Y2 @ Y0 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ sK0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f13,plain,
( $false
= ( ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( Y1 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( Y1 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( Y2 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y2 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( ( Y2 @ Y6 @ Y7 )
| ( Y1 @ Y6 @ Y7 ) ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( ( Y2 @ Y4 @ Y6 )
| ( Y1 @ Y4 @ Y6 ) )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y3 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y5 )
& ( ( Y2 @ Y5 @ Y4 )
| ( Y1 @ Y5 @ Y4 ) ) )
=> ( Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y0 @ Y4 )
| ( Y2 @ Y0 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( ( Y1 @ Y7 @ Y8 )
| ( Y2 @ Y7 @ Y8 ) )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( ( Y1 @ Y4 @ Y7 )
| ( Y2 @ Y4 @ Y7 ) )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y3 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( ( Y2 @ Y5 @ Y7 )
| ( Y1 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( ( Y2 @ Y8 @ Y7 )
| ( Y1 @ Y8 @ Y7 ) )
& ( Y6 @ Y8 ) )
=> ( Y6 @ Y7 ) ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( ( Y1 @ Y5 @ Y7 )
| ( Y2 @ Y5 @ Y7 ) )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( ( Y2 @ Y8 @ Y7 )
| ( Y1 @ Y8 @ Y7 ) )
& ( Y6 @ Y8 ) )
=> ( Y6 @ Y7 ) ) ) ) )
=> ( Y6 @ Y3 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y5 )
& ( ( Y2 @ Y5 @ Y4 )
| ( Y1 @ Y5 @ Y4 ) ) )
=> ( Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y0 @ Y4 )
| ( Y2 @ Y0 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ sK0 ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f12]) ).
thf(f14,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y1 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( ( Y1 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y3 @ Y5 )
| ( Y0 @ Y3 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y2 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( ( Y1 @ Y4 @ Y3 )
| ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ sK1 @ Y3 )
| ( Y1 @ sK1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( ( Y0 @ Y6 @ Y7 )
| ( Y1 @ Y6 @ Y7 ) )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y3 @ Y6 )
| ( Y1 @ Y3 @ Y6 ) )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( ( Y1 @ Y4 @ Y6 )
| ( Y0 @ Y4 @ Y6 ) )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( ( Y1 @ Y7 @ Y6 )
| ( Y0 @ Y7 @ Y6 ) )
& ( Y5 @ Y7 ) )
=> ( Y5 @ Y6 ) ) ) ) )
=> ( Y5 @ Y3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y4 @ Y6 )
| ( Y1 @ Y4 @ Y6 ) )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( ( Y1 @ Y7 @ Y6 )
| ( Y0 @ Y7 @ Y6 ) )
& ( Y5 @ Y7 ) )
=> ( Y5 @ Y6 ) ) ) ) )
=> ( Y5 @ Y2 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( ( Y1 @ Y4 @ Y3 )
| ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ sK1 @ Y3 )
| ( Y1 @ sK1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f15,plain,
( ( ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( Y0 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( Y1 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( Y1 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( ( Y1 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y3 @ Y5 )
| ( Y0 @ Y3 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y2 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( ( Y1 @ Y4 @ Y3 )
| ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ sK1 @ Y3 )
| ( Y1 @ sK1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( ( Y0 @ Y6 @ Y7 )
| ( Y1 @ Y6 @ Y7 ) )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y3 @ Y6 )
| ( Y1 @ Y3 @ Y6 ) )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y2 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( ( Y1 @ Y4 @ Y6 )
| ( Y0 @ Y4 @ Y6 ) )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( ( Y1 @ Y7 @ Y6 )
| ( Y0 @ Y7 @ Y6 ) )
& ( Y5 @ Y7 ) )
=> ( Y5 @ Y6 ) ) ) ) )
=> ( Y5 @ Y3 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( ( Y0 @ Y4 @ Y6 )
| ( Y1 @ Y4 @ Y6 ) )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( ( Y1 @ Y7 @ Y6 )
| ( Y0 @ Y7 @ Y6 ) )
& ( Y5 @ Y7 ) )
=> ( Y5 @ Y6 ) ) ) ) )
=> ( Y5 @ Y2 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y4 )
& ( ( Y1 @ Y4 @ Y3 )
| ( Y0 @ Y4 @ Y3 ) ) )
=> ( Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ sK1 @ Y3 )
| ( Y1 @ sK1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK0 ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f14]) ).
thf(f16,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK2 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( ( Y0 @ Y4 @ Y5 )
| ( sK2 @ Y4 @ Y5 ) ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y1 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) ) )
=> ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ sK1 @ Y2 )
| ( Y0 @ sK1 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( sK2 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y2 @ Y5 )
| ( Y0 @ Y2 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y5 )
| ( sK2 @ Y3 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y0 @ Y6 @ Y5 )
| ( sK2 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y3 @ Y5 )
| ( Y0 @ Y3 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y0 @ Y6 @ Y5 )
| ( sK2 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y1 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) ) )
=> ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ sK1 @ Y2 )
| ( Y0 @ sK1 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK2 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( Y0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( ( Y0 @ Y4 @ Y5 )
| ( sK2 @ Y4 @ Y5 ) ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y1 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) ) )
=> ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ sK1 @ Y2 )
| ( Y0 @ sK1 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( sK2 @ Y5 @ Y6 )
| ( Y0 @ Y5 @ Y6 ) )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y2 @ Y5 )
| ( Y0 @ Y2 @ Y5 ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y1 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( Y0 @ Y3 @ Y5 )
| ( sK2 @ Y3 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y0 @ Y6 @ Y5 )
| ( sK2 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y2 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( sK2 @ Y3 @ Y5 )
| ( Y0 @ Y3 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y0 @ Y6 @ Y5 )
| ( sK2 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y1 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) ) )
=> ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ sK1 @ Y2 )
| ( Y0 @ sK1 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK0 ) ) ) )
@ sK3 ) ),
inference(sigma_proxy_clausification,[],[f16]) ).
thf(f18,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
& ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK1 @ Y1 )
| ( sK3 @ sK1 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
& ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK1 @ Y1 )
| ( sK3 @ sK1 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK0 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f19,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
& ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK1 @ Y1 )
| ( sK3 @ sK1 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f18]) ).
thf(f20,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
& ~ ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y2 )
& ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK1 @ Y1 )
| ( sK3 @ sK1 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f18]) ).
thf(f21,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
& ~ $false
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f20,f19]) ).
thf(f22,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
& $true
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[],[f21]) ).
thf(f23,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f22]) ).
thf(f32,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f23]) ).
thf(f34,definition,
( spl5_1
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
thf(f36,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) ) )
= $false )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f34]) ).
thf(f38,definition,
( spl5_2
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
thf(f40,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) ) )
= $false )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f38]) ).
thf(f41,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f32,f38,f34]) ).
thf(f44,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK2 @ Y4 @ Y5 )
| ( sK3 @ Y4 @ Y5 ) )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y1 @ Y4 )
| ( sK3 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK3 @ Y2 @ Y4 )
| ( sK2 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( sK2 @ Y2 @ Y4 )
| ( sK3 @ Y2 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( sK3 @ Y5 @ Y4 )
| ( sK2 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 ) ) ) ) ) )
@ sK6 )
= $false )
| ~ spl5_2 ),
inference(sigma_proxy_clausification,[],[f40]) ).
thf(f45,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK2 @ Y3 @ Y4 )
| ( sK3 @ Y3 @ Y4 ) )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y0 @ Y3 )
| ( sK3 @ Y0 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK3 @ Y4 @ Y3 )
| ( sK2 @ Y4 @ Y3 ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y1 @ Y3 )
| ( sK3 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK3 @ Y4 @ Y3 )
| ( sK2 @ Y4 @ Y3 ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) ) )
=> ( Y2 @ sK6 ) ) ) ) ) )
= $false )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f48,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK2 @ Y3 @ Y4 )
| ( sK3 @ Y3 @ Y4 ) )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y0 @ Y3 )
| ( sK3 @ Y0 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK3 @ Y4 @ Y3 )
| ( sK2 @ Y4 @ Y3 ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( ( sK2 @ Y1 @ Y3 )
| ( sK3 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK3 @ Y4 @ Y3 )
| ( sK2 @ Y4 @ Y3 ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) ) )
=> ( Y2 @ sK6 ) ) ) ) )
@ sK7 )
= $false )
| ~ spl5_2 ),
inference(sigma_proxy_clausification,[],[f45]) ).
thf(f49,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK2 @ Y2 @ Y3 )
| ( sK3 @ Y2 @ Y3 ) )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ sK7 @ Y2 )
| ( sK3 @ sK7 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
| ( sK2 @ Y0 @ Y2 ) )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK3 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( Y1 @ sK7 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y2 )
| ( sK3 @ Y0 @ Y2 ) )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK3 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( Y1 @ sK6 ) ) ) ) ) )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f53,plain,
( ( ( ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK2 @ Y2 @ Y3 )
| ( sK3 @ Y2 @ Y3 ) )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ sK7 @ Y2 )
| ( sK3 @ sK7 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
| ( sK2 @ Y0 @ Y2 ) )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK3 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( Y1 @ sK7 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( ( sK2 @ Y0 @ Y2 )
| ( sK3 @ Y0 @ Y2 ) )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK3 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( Y1 @ sK6 ) ) ) )
@ sK8 )
= $false )
| ~ spl5_2 ),
inference(sigma_proxy_clausification,[],[f49]) ).
thf(f54,plain,
( ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK2 @ Y1 @ Y2 )
| ( sK3 @ Y1 @ Y2 ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK7 @ Y1 )
| ( sK3 @ sK7 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ sK8 @ Y1 )
| ( sK2 @ sK8 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK8 @ Y1 )
| ( sK3 @ sK8 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 ) ) ) )
= $false )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f56,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK8 @ Y1 )
| ( sK3 @ sK8 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 ) ) ) )
| ~ spl5_2 ),
inference(imp_proxy_clausification,[],[f54]) ).
thf(f57,plain,
( ( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK2 @ Y1 @ Y2 )
| ( sK3 @ Y1 @ Y2 ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK7 @ Y1 )
| ( sK3 @ sK7 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ sK8 @ Y1 )
| ( sK2 @ sK8 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 ) ) ) ) )
| ~ spl5_2 ),
inference(imp_proxy_clausification,[],[f54]) ).
thf(f64,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK8 @ Y1 )
| ( sK3 @ sK8 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 ) )
@ sK9 )
= $false )
| ~ spl5_2 ),
inference(sigma_proxy_clausification,[],[f56]) ).
thf(f65,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK8 @ Y0 )
| ( sK3 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) ) ) )
=> ( sK9 @ sK6 ) ) )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f64]) ).
thf(f76,plain,
( ( ( sK9 @ sK6 )
= $false )
| ~ spl5_2 ),
inference(imp_proxy_clausification,[],[f65]) ).
thf(f77,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK8 @ Y0 )
| ( sK3 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) ) ) ) )
| ~ spl5_2 ),
inference(imp_proxy_clausification,[],[f65]) ).
thf(f82,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ sK8 @ Y1 )
| ( sK2 @ sK8 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 ) ) ) )
| ~ spl5_2 ),
inference(and_proxy_clausification,[],[f57]) ).
thf(f83,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK2 @ Y1 @ Y2 )
| ( sK3 @ Y1 @ Y2 ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK7 @ Y1 )
| ( sK3 @ sK7 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) ) )
| ~ spl5_2 ),
inference(and_proxy_clausification,[],[f57]) ).
thf(f128,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) ) ) )
| ~ spl5_2 ),
inference(and_proxy_clausification,[],[f77]) ).
thf(f129,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK8 @ Y0 )
| ( sK3 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) )
| ~ spl5_2 ),
inference(and_proxy_clausification,[],[f77]) ).
thf(f145,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ sK8 @ Y1 )
| ( sK2 @ sK8 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK7 ) )
@ X1 ) )
| ~ spl5_2 ),
inference(pi_proxy_clausification,[],[f82]) ).
thf(f146,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( X1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( X1 @ Y1 ) )
=> ( X1 @ Y0 ) ) ) ) )
=> ( X1 @ sK7 ) ) )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f145]) ).
thf(f147,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( ( sK2 @ sK8 @ Y0 )
| ( sK3 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) )
@ X1 )
= $true )
| ~ spl5_2 ),
inference(pi_proxy_clausification,[],[f129]) ).
thf(f153,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK2 @ Y1 @ Y2 )
| ( sK3 @ Y1 @ Y2 ) )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK2 @ sK7 @ Y1 )
| ( sK3 @ sK7 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) )
@ X1 ) )
| ~ spl5_2 ),
inference(pi_proxy_clausification,[],[f83]) ).
thf(f154,plain,
( ! [X1: a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( X1 @ Y0 ) )
=> ( X1 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( X1 @ Y0 ) ) ) )
=> ( X1 @ sK6 ) )
= $true )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f153]) ).
thf(f157,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) )
=> $false ) )
| ~ spl5_2 ),
inference(superposition,[],[f154,f76]) ).
thf(f158,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) ) ) )
| ~ spl5_2 ),
inference(boolean_simplification,[],[f157]) ).
thf(f165,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) )
@ X1 ) )
| ~ spl5_2 ),
inference(pi_proxy_clausification,[],[f128]) ).
thf(f166,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( ( sK3 @ Y0 @ X1 )
| ( sK2 @ Y0 @ X1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ X1 ) ) ) )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f165]) ).
thf(f184,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( ( sK3 @ Y0 @ X1 )
| ( sK2 @ Y0 @ X1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ X1 ) )
@ X2 ) )
| ~ spl5_2 ),
inference(pi_proxy_clausification,[],[f166]) ).
thf(f185,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( ( ( sK3 @ X2 @ X1 )
| ( sK2 @ X2 @ X1 ) )
& ( sK9 @ X2 ) )
=> ( sK9 @ X1 ) ) )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f184]) ).
thf(f243,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) )
= $false )
| ~ spl5_2 ),
inference(not_proxy_clausification,[],[f158]) ).
thf(f259,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) ) )
= $false )
| ~ spl5_2 ),
inference(and_proxy_clausification,[],[f243]) ).
thf(f261,definition,
( spl5_3
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
thf(f263,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f261]) ).
thf(f265,definition,
( spl5_4
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
thf(f266,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) ) )
!= $false )
| spl5_4 ),
inference(avatar_component_clause,[],[f265]) ).
thf(f267,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) ) )
= $false )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f265]) ).
thf(f268,plain,
( spl5_3
| spl5_4
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f259,f38,f265,f261]) ).
thf(f269,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK2 @ sK7 @ Y0 )
| ( sK3 @ sK7 @ Y0 ) )
=> ( sK9 @ Y0 ) )
@ sK10 ) )
| ~ spl5_3 ),
inference(sigma_proxy_clausification,[],[f263]) ).
thf(f270,plain,
( ( $false
= ( ( ( sK2 @ sK7 @ sK10 )
| ( sK3 @ sK7 @ sK10 ) )
=> ( sK9 @ sK10 ) ) )
| ~ spl5_3 ),
inference(beta-eta_normalization,[],[f269]) ).
thf(f271,plain,
( ( ( sK9 @ sK10 )
= $false )
| ~ spl5_3 ),
inference(imp_proxy_clausification,[],[f270]) ).
thf(f272,plain,
( ( $true
= ( ( sK2 @ sK7 @ sK10 )
| ( sK3 @ sK7 @ sK10 ) ) )
| ~ spl5_3 ),
inference(imp_proxy_clausification,[],[f270]) ).
thf(f289,plain,
( ( $true
= ( sK3 @ sK7 @ sK10 ) )
| ( $true
= ( sK2 @ sK7 @ sK10 ) )
| ~ spl5_3 ),
inference(or_proxy_clausification,[],[f272]) ).
thf(f293,definition,
( spl5_5
<=> ( $true
= ( sK2 @ sK7 @ sK10 ) ) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
thf(f295,plain,
( ( $true
= ( sK2 @ sK7 @ sK10 ) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f293]) ).
thf(f297,definition,
( spl5_6
<=> ( $true
= ( sK3 @ sK7 @ sK10 ) ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
thf(f299,plain,
( ( $true
= ( sK3 @ sK7 @ sK10 ) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f297]) ).
thf(f307,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) )
@ sK11 ) )
| ~ spl5_4 ),
inference(sigma_proxy_clausification,[],[f267]) ).
thf(f308,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( ( sK2 @ sK11 @ Y0 )
| ( sK3 @ sK11 @ Y0 ) )
& ( sK9 @ sK11 ) )
=> ( sK9 @ Y0 ) ) )
= $false )
| ~ spl5_4 ),
inference(beta-eta_normalization,[],[f307]) ).
thf(f315,plain,
( ( ( ^ [Y0: a] :
( ( ( ( sK2 @ sK11 @ Y0 )
| ( sK3 @ sK11 @ Y0 ) )
& ( sK9 @ sK11 ) )
=> ( sK9 @ Y0 ) )
@ sK12 )
= $false )
| ~ spl5_4 ),
inference(sigma_proxy_clausification,[],[f308]) ).
thf(f316,plain,
( ( ( ( ( ( sK2 @ sK11 @ sK12 )
| ( sK3 @ sK11 @ sK12 ) )
& ( sK9 @ sK11 ) )
=> ( sK9 @ sK12 ) )
= $false )
| ~ spl5_4 ),
inference(beta-eta_normalization,[],[f315]) ).
thf(f348,plain,
( ( ( sK9 @ sK12 )
= $false )
| ~ spl5_4 ),
inference(imp_proxy_clausification,[],[f316]) ).
thf(f349,plain,
( ( $true
= ( ( ( sK2 @ sK11 @ sK12 )
| ( sK3 @ sK11 @ sK12 ) )
& ( sK9 @ sK11 ) ) )
| ~ spl5_4 ),
inference(imp_proxy_clausification,[],[f316]) ).
thf(f368,plain,
( ( $true
= ( sK9 @ sK11 ) )
| ~ spl5_4 ),
inference(and_proxy_clausification,[],[f349]) ).
thf(f369,plain,
( ( $true
= ( ( sK2 @ sK11 @ sK12 )
| ( sK3 @ sK11 @ sK12 ) ) )
| ~ spl5_4 ),
inference(and_proxy_clausification,[],[f349]) ).
thf(f373,plain,
( ( $false
= ( ( ( ( sK2 @ sK11 @ sK12 )
| ( sK3 @ sK11 @ sK12 ) )
& $true )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_4 ),
inference(superposition,[],[f316,f368]) ).
thf(f385,plain,
( ( $false
= ( ( ( sK2 @ sK11 @ sK12 )
| ( sK3 @ sK11 @ sK12 ) )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_4 ),
inference(boolean_simplification,[],[f373]) ).
thf(f388,plain,
( ( $false
= ( $true
=> ( sK9 @ sK12 ) ) )
| ~ spl5_4 ),
inference(forward_demodulation,[],[f385,f369]) ).
thf(f423,plain,
( ( $true
= ( sK2 @ sK11 @ sK12 ) )
| ( $true
= ( sK3 @ sK11 @ sK12 ) )
| ~ spl5_4 ),
inference(or_proxy_clausification,[],[f369]) ).
thf(f429,definition,
( spl5_7
<=> ( $true
= ( sK3 @ sK11 @ sK12 ) ) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
thf(f431,plain,
( ( $true
= ( sK3 @ sK11 @ sK12 ) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f429]) ).
thf(f433,definition,
( spl5_8
<=> ( $true
= ( sK2 @ sK11 @ sK12 ) ) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
thf(f435,plain,
( ( $true
= ( sK2 @ sK11 @ sK12 ) )
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f433]) ).
thf(f436,plain,
( spl5_7
| spl5_8
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f423,f265,f433,f429]) ).
thf(f442,plain,
( ( $true
= ( ( ( $true
| ( sK2 @ sK11 @ sK12 ) )
& ( sK9 @ sK11 ) )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_7 ),
inference(superposition,[],[f185,f431]) ).
thf(f450,plain,
( ( $true
= ( ( $true
& ( sK9 @ sK11 ) )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_7 ),
inference(boolean_simplification,[],[f442]) ).
thf(f451,plain,
( ( $true
= ( ( sK9 @ sK11 )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_7 ),
inference(boolean_simplification,[],[f450]) ).
thf(f455,plain,
( ( $true
= ( $true
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_4
| ~ spl5_7 ),
inference(forward_demodulation,[],[f451,f368]) ).
thf(f456,plain,
( ( $true
= ( sK9 @ sK12 ) )
| ~ spl5_2
| ~ spl5_4
| ~ spl5_7 ),
inference(boolean_simplification,[],[f455]) ).
thf(f457,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_4
| ~ spl5_7 ),
inference(forward_demodulation,[],[f456,f348]) ).
thf(f458,plain,
( $false
| ~ spl5_2
| ~ spl5_4
| ~ spl5_7 ),
inference(trivial_inequality_removal,[],[f457]) ).
thf(f459,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_7 ),
inference(avatar_contradiction_clause,[],[f458]) ).
thf(f470,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK3 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( ( sK3 @ Y3 @ Y4 )
| ( sK2 @ Y3 @ Y4 ) ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( sK3 @ Y1 @ Y3 )
| ( sK2 @ Y1 @ Y3 ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y0 ) ) ) ) )
@ sK13 )
= $false )
| ~ spl5_1 ),
inference(sigma_proxy_clausification,[],[f36]) ).
thf(f471,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK2 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ sK13 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK3 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK13 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( ( sK3 @ Y2 @ Y3 )
| ( sK2 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
| ( sK2 @ Y0 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK13 ) ) ) ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f470]) ).
thf(f472,plain,
( ( ( ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK2 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ sK13 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK3 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK13 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( ( sK3 @ Y2 @ Y3 )
| ( sK2 @ Y2 @ Y3 ) ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y0 @ Y2 )
| ( sK2 @ Y0 @ Y2 ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ sK13 ) ) ) )
@ sK14 )
= $false )
| ~ spl5_1 ),
inference(sigma_proxy_clausification,[],[f471]) ).
thf(f473,plain,
( ( $false
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK13 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK3 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) ) ) )
=> ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( ( sK3 @ Y1 @ Y2 )
| ( sK2 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ sK14 @ Y1 )
| ( sK2 @ sK14 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) ) ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f472]) ).
thf(f487,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( ( sK3 @ Y1 @ Y2 )
| ( sK2 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ sK14 @ Y1 )
| ( sK2 @ sK14 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) ) ) )
| ~ spl5_1 ),
inference(imp_proxy_clausification,[],[f473]) ).
thf(f488,plain,
( ( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK13 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK3 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) ) ) ) )
| ~ spl5_1 ),
inference(imp_proxy_clausification,[],[f473]) ).
thf(f495,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK2 @ Y0 @ Y1 )
| ( sK3 @ Y0 @ Y1 ) )
& ( sK9 @ Y0 ) )
=> ( sK9 @ Y1 ) ) )
@ X1 ) )
| spl5_4 ),
inference(pi_proxy_clausification,[],[f266]) ).
thf(f496,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( ( sK2 @ X1 @ Y0 )
| ( sK3 @ X1 @ Y0 ) )
& ( sK9 @ X1 ) )
=> ( sK9 @ Y0 ) ) ) )
| spl5_4 ),
inference(beta-eta_normalization,[],[f495]) ).
thf(f499,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( ( sK2 @ X1 @ Y0 )
| ( sK3 @ X1 @ Y0 ) )
& ( sK9 @ X1 ) )
=> ( sK9 @ Y0 ) )
@ X2 ) )
| spl5_4 ),
inference(pi_proxy_clausification,[],[f496]) ).
thf(f500,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( ( ( sK2 @ X1 @ X2 )
| ( sK3 @ X1 @ X2 ) )
& ( sK9 @ X1 ) )
=> ( sK9 @ X2 ) ) )
| spl5_4 ),
inference(beta-eta_normalization,[],[f499]) ).
thf(f516,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( ( sK3 @ Y1 @ Y2 )
| ( sK2 @ Y1 @ Y2 ) ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ sK14 @ Y1 )
| ( sK2 @ sK14 @ Y1 ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) )
@ sK15 ) )
| ~ spl5_1 ),
inference(sigma_proxy_clausification,[],[f487]) ).
thf(f517,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( ( sK3 @ Y0 @ Y1 )
| ( sK2 @ Y0 @ Y1 ) ) )
=> ( sK15 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK14 @ Y0 )
| ( sK2 @ sK14 @ Y0 ) )
=> ( sK15 @ Y0 ) ) ) )
=> ( sK15 @ sK13 ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f516]) ).
thf(f518,plain,
( ( ( sK15 @ sK13 )
= $false )
| ~ spl5_1 ),
inference(imp_proxy_clausification,[],[f517]) ).
thf(f519,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( ( sK3 @ Y0 @ Y1 )
| ( sK2 @ Y0 @ Y1 ) ) )
=> ( sK15 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK14 @ Y0 )
| ( sK2 @ sK14 @ Y0 ) )
=> ( sK15 @ Y0 ) ) ) ) )
| ~ spl5_1 ),
inference(imp_proxy_clausification,[],[f517]) ).
thf(f520,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK3 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) ) ) )
| ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK13 ) ) ) )
| ~ spl5_1 ),
inference(or_proxy_clausification,[],[f488]) ).
thf(f522,definition,
( spl5_11
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK3 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
thf(f524,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK3 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) ) ) )
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f522]) ).
thf(f526,definition,
( spl5_12
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK13 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
thf(f528,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK13 ) ) ) )
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f526]) ).
thf(f529,plain,
( spl5_11
| spl5_12
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f520,f34,f526,f522]) ).
thf(f534,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK3 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK13 ) )
@ X1 ) )
| ~ spl5_11 ),
inference(pi_proxy_clausification,[],[f524]) ).
thf(f535,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( X1 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
=> ( X1 @ sK13 ) ) )
| ~ spl5_11 ),
inference(beta-eta_normalization,[],[f534]) ).
thf(f537,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) ) )
=> $false ) )
| ~ spl5_1
| ~ spl5_11 ),
inference(superposition,[],[f535,f518]) ).
thf(f538,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) ) ) ) )
| ~ spl5_1
| ~ spl5_11 ),
inference(boolean_simplification,[],[f537]) ).
thf(f539,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK14 @ Y0 )
| ( sK2 @ sK14 @ Y0 ) )
=> ( sK15 @ Y0 ) ) ) )
| ~ spl5_1 ),
inference(and_proxy_clausification,[],[f519]) ).
thf(f540,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( ( sK3 @ Y0 @ Y1 )
| ( sK2 @ Y0 @ Y1 ) ) )
=> ( sK15 @ Y1 ) ) ) ) )
| ~ spl5_1 ),
inference(and_proxy_clausification,[],[f519]) ).
thf(f541,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK3 @ sK14 @ Y0 )
| ( sK2 @ sK14 @ Y0 ) )
=> ( sK15 @ Y0 ) )
@ X1 ) )
| ~ spl5_1 ),
inference(pi_proxy_clausification,[],[f539]) ).
thf(f542,plain,
( ! [X1: a] :
( $true
= ( ( ( sK3 @ sK14 @ X1 )
| ( sK2 @ sK14 @ X1 ) )
=> ( sK15 @ X1 ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f541]) ).
thf(f547,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( ( sK3 @ Y0 @ Y1 )
| ( sK2 @ Y0 @ Y1 ) ) )
=> ( sK15 @ Y1 ) ) )
@ X1 ) )
| ~ spl5_1 ),
inference(pi_proxy_clausification,[],[f540]) ).
thf(f548,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK15 @ X1 )
& ( ( sK3 @ X1 @ Y0 )
| ( sK2 @ X1 @ Y0 ) ) )
=> ( sK15 @ Y0 ) ) )
= $true )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f547]) ).
thf(f558,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK15 @ X1 )
& ( ( sK3 @ X1 @ Y0 )
| ( sK2 @ X1 @ Y0 ) ) )
=> ( sK15 @ Y0 ) )
@ X2 ) )
| ~ spl5_1 ),
inference(pi_proxy_clausification,[],[f548]) ).
thf(f559,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( ( sK15 @ X1 )
& ( ( sK3 @ X1 @ X2 )
| ( sK2 @ X1 @ X2 ) ) )
=> ( sK15 @ X2 ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f558]) ).
thf(f634,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) ) )
= $false )
| ~ spl5_1
| ~ spl5_11 ),
inference(not_proxy_clausification,[],[f538]) ).
thf(f652,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
= $false )
| ~ spl5_1
| ~ spl5_11 ),
inference(and_proxy_clausification,[],[f634]) ).
thf(f654,definition,
( spl5_13
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
thf(f656,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
= $false )
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f654]) ).
thf(f658,definition,
( spl5_14
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
thf(f660,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) )
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f658]) ).
thf(f661,plain,
( spl5_13
| spl5_14
| ~ spl5_1
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f652,f522,f34,f658,f654]) ).
thf(f683,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ sK14 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK2 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK13 ) )
@ X1 ) )
| ~ spl5_12 ),
inference(pi_proxy_clausification,[],[f528]) ).
thf(f684,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( X1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( X1 @ Y1 ) ) ) ) )
=> ( X1 @ sK13 ) ) )
| ~ spl5_12 ),
inference(beta-eta_normalization,[],[f683]) ).
thf(f690,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) )
=> $false ) )
| ~ spl5_1
| ~ spl5_12 ),
inference(superposition,[],[f684,f518]) ).
thf(f695,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) ) ) )
| ~ spl5_1
| ~ spl5_12 ),
inference(boolean_simplification,[],[f690]) ).
thf(f727,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) ) )
| ~ spl5_1
| ~ spl5_12 ),
inference(not_proxy_clausification,[],[f695]) ).
thf(f735,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
= $false )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) )
| ~ spl5_1
| ~ spl5_12 ),
inference(and_proxy_clausification,[],[f727]) ).
thf(f737,definition,
( spl5_15
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
thf(f739,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) ) ) )
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f737]) ).
thf(f741,definition,
( spl5_16
<=> ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
thf(f743,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) ) )
= $false )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f741]) ).
thf(f744,plain,
( spl5_15
| spl5_16
| ~ spl5_1
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f735,f526,f34,f741,f737]) ).
thf(f753,plain,
( ( ( ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) )
@ sK17 )
= $false )
| ~ spl5_13 ),
inference(sigma_proxy_clausification,[],[f656]) ).
thf(f754,plain,
( ( ( ( sK3 @ sK14 @ sK17 )
=> ( sK15 @ sK17 ) )
= $false )
| ~ spl5_13 ),
inference(beta-eta_normalization,[],[f753]) ).
thf(f763,plain,
( ( ( sK15 @ sK17 )
= $false )
| ~ spl5_13 ),
inference(imp_proxy_clausification,[],[f754]) ).
thf(f764,plain,
( ( $true
= ( sK3 @ sK14 @ sK17 ) )
| ~ spl5_13 ),
inference(imp_proxy_clausification,[],[f754]) ).
thf(f772,plain,
( ( $true
= ( ( ( sK3 @ sK14 @ sK17 )
| ( sK2 @ sK14 @ sK17 ) )
=> $false ) )
| ~ spl5_1
| ~ spl5_13 ),
inference(superposition,[],[f542,f763]) ).
thf(f776,plain,
( ( $true
= ( ~ ( ( sK3 @ sK14 @ sK17 )
| ( sK2 @ sK14 @ sK17 ) ) ) )
| ~ spl5_1
| ~ spl5_13 ),
inference(boolean_simplification,[],[f772]) ).
thf(f781,plain,
( ( $true
= ( ~ ( $true
| ( sK2 @ sK14 @ sK17 ) ) ) )
| ~ spl5_1
| ~ spl5_13 ),
inference(forward_demodulation,[],[f776,f764]) ).
thf(f782,plain,
( ( $true = ( ~ $true ) )
| ~ spl5_1
| ~ spl5_13 ),
inference(boolean_simplification,[],[f781]) ).
thf(f783,plain,
( ( $true = $false )
| ~ spl5_1
| ~ spl5_13 ),
inference(boolean_simplification,[],[f782]) ).
thf(f784,plain,
( $false
| ~ spl5_1
| ~ spl5_13 ),
inference(trivial_inequality_removal,[],[f783]) ).
thf(f785,plain,
( ~ spl5_1
| ~ spl5_13 ),
inference(avatar_contradiction_clause,[],[f784]) ).
thf(f819,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK3 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) )
@ sK19 )
= $false )
| ~ spl5_14 ),
inference(sigma_proxy_clausification,[],[f660]) ).
thf(f820,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK15 @ sK19 )
& ( sK3 @ sK19 @ Y0 ) )
=> ( sK15 @ Y0 ) ) )
= $false )
| ~ spl5_14 ),
inference(beta-eta_normalization,[],[f819]) ).
thf(f907,plain,
( ! [X1: a] :
( $true
= ( ( ( sK2 @ sK8 @ X1 )
| ( sK3 @ sK8 @ X1 ) )
=> ( sK9 @ X1 ) ) )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f1053,plain,
( ( $true
= ( ( ( $true
| ( sK3 @ sK7 @ sK10 ) )
& ( sK9 @ sK7 ) )
=> ( sK9 @ sK10 ) ) )
| spl5_4
| ~ spl5_5 ),
inference(superposition,[],[f500,f295]) ).
thf(f1057,plain,
( ( $true
= ( ( $true
& ( sK9 @ sK7 ) )
=> ( sK9 @ sK10 ) ) )
| spl5_4
| ~ spl5_5 ),
inference(boolean_simplification,[],[f1053]) ).
thf(f1058,plain,
( ( $true
= ( ( sK9 @ sK7 )
=> ( sK9 @ sK10 ) ) )
| spl5_4
| ~ spl5_5 ),
inference(boolean_simplification,[],[f1057]) ).
thf(f1059,plain,
( ( $true
= ( ( sK9 @ sK7 )
=> $false ) )
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(forward_demodulation,[],[f1058,f271]) ).
thf(f1060,plain,
( ( $true
= ( ~ ( sK9 @ sK7 ) ) )
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(boolean_simplification,[],[f1059]) ).
thf(f1063,plain,
( ( $false
= ( sK9 @ sK7 ) )
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(not_proxy_clausification,[],[f1060]) ).
thf(f1113,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) ) ) )
=> $false ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(superposition,[],[f146,f1063]) ).
thf(f1114,plain,
( ( ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(boolean_simplification,[],[f1113]) ).
thf(f1115,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& $true ) ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(forward_demodulation,[],[f1114,f128]) ).
thf(f1156,plain,
( ( $true
= ( ( ( ( sK2 @ sK7 @ sK10 )
| $true )
& ( sK9 @ sK7 ) )
=> ( sK9 @ sK10 ) ) )
| spl5_4
| ~ spl5_6 ),
inference(superposition,[],[f500,f299]) ).
thf(f1158,plain,
( ( $true
= ( ( $true
& ( sK9 @ sK7 ) )
=> ( sK9 @ sK10 ) ) )
| spl5_4
| ~ spl5_6 ),
inference(boolean_simplification,[],[f1156]) ).
thf(f1159,plain,
( ( $true
= ( ( sK9 @ sK7 )
=> ( sK9 @ sK10 ) ) )
| spl5_4
| ~ spl5_6 ),
inference(boolean_simplification,[],[f1158]) ).
thf(f1162,plain,
( ( $true
= ( ( sK9 @ sK7 )
=> $false ) )
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(forward_demodulation,[],[f1159,f271]) ).
thf(f1163,plain,
( ( $true
= ( ~ ( sK9 @ sK7 ) ) )
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(boolean_simplification,[],[f1162]) ).
thf(f1168,plain,
( ( $false
= ( sK9 @ sK7 ) )
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(not_proxy_clausification,[],[f1163]) ).
thf(f1188,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) ) ) )
=> $false ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(superposition,[],[f146,f1168]) ).
thf(f1189,plain,
( ( ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
& ( sK9 @ Y1 ) )
=> ( sK9 @ Y0 ) ) ) ) ) )
= $true )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(boolean_simplification,[],[f1188]) ).
thf(f1195,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
& $true ) ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(forward_demodulation,[],[f1189,f128]) ).
thf(f1197,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK15 @ sK19 )
& ( sK3 @ sK19 @ Y0 ) )
=> ( sK15 @ Y0 ) )
@ sK20 ) )
| ~ spl5_14 ),
inference(sigma_proxy_clausification,[],[f820]) ).
thf(f1198,plain,
( ( ( ( ( sK15 @ sK19 )
& ( sK3 @ sK19 @ sK20 ) )
=> ( sK15 @ sK20 ) )
= $false )
| ~ spl5_14 ),
inference(beta-eta_normalization,[],[f1197]) ).
thf(f1310,plain,
( ( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(boolean_simplification,[],[f1115]) ).
thf(f1354,plain,
( ( ( sK15 @ sK20 )
= $false )
| ~ spl5_14 ),
inference(imp_proxy_clausification,[],[f1198]) ).
thf(f1355,plain,
( ( $true
= ( ( sK15 @ sK19 )
& ( sK3 @ sK19 @ sK20 ) ) )
| ~ spl5_14 ),
inference(imp_proxy_clausification,[],[f1198]) ).
thf(f1472,plain,
( ( $true
= ( sK3 @ sK19 @ sK20 ) )
| ~ spl5_14 ),
inference(and_proxy_clausification,[],[f1355]) ).
thf(f1503,plain,
( ( $true
= ( ( sK15 @ sK19 )
& $true ) )
| ~ spl5_14 ),
inference(superposition,[],[f1355,f1472]) ).
thf(f2448,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(not_proxy_clausification,[],[f1310]) ).
thf(f2449,plain,
( ( ( ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) )
@ sK22 )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(sigma_proxy_clausification,[],[f2448]) ).
thf(f2450,plain,
( ( ( ( ( sK3 @ sK8 @ sK22 )
| ( sK2 @ sK8 @ sK22 ) )
=> ( sK9 @ sK22 ) )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(beta-eta_normalization,[],[f2449]) ).
thf(f2451,plain,
( ( ( sK9 @ sK22 )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(imp_proxy_clausification,[],[f2450]) ).
thf(f2452,plain,
( ( $true
= ( ( sK3 @ sK8 @ sK22 )
| ( sK2 @ sK8 @ sK22 ) ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(imp_proxy_clausification,[],[f2450]) ).
thf(f2510,plain,
( ( $true
= ( sK3 @ sK8 @ sK22 ) )
| ( ( sK2 @ sK8 @ sK22 )
= $true )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(or_proxy_clausification,[],[f2452]) ).
thf(f2520,definition,
( spl5_36
<=> ( $true
= ( sK3 @ sK8 @ sK22 ) ) ),
introduced(definition,[new_symbols(definition,[spl5_36])],[avatar_definition]) ).
thf(f2522,plain,
( ( $true
= ( sK3 @ sK8 @ sK22 ) )
| ~ spl5_36 ),
inference(avatar_component_clause,[],[f2520]) ).
thf(f2524,definition,
( spl5_37
<=> ( ( sK2 @ sK8 @ sK22 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl5_37])],[avatar_definition]) ).
thf(f2526,plain,
( ( ( sK2 @ sK8 @ sK22 )
= $true )
| ~ spl5_37 ),
inference(avatar_component_clause,[],[f2524]) ).
thf(f2527,plain,
( spl5_36
| spl5_37
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f2510,f293,f265,f261,f38,f2524,f2520]) ).
thf(f2614,plain,
( ( $true
= ( ( ( sK2 @ sK8 @ sK22 )
| $true )
=> ( sK9 @ sK22 ) ) )
| ~ spl5_2
| ~ spl5_36 ),
inference(superposition,[],[f907,f2522]) ).
thf(f2631,plain,
( ( $true
= ( $true
=> ( sK9 @ sK22 ) ) )
| ~ spl5_2
| ~ spl5_36 ),
inference(boolean_simplification,[],[f2614]) ).
thf(f2632,plain,
( ( $true
= ( sK9 @ sK22 ) )
| ~ spl5_2
| ~ spl5_36 ),
inference(boolean_simplification,[],[f2631]) ).
thf(f2637,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_36 ),
inference(forward_demodulation,[],[f2632,f2451]) ).
thf(f2638,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_36 ),
inference(trivial_inequality_removal,[],[f2637]) ).
thf(f2639,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_36 ),
inference(avatar_contradiction_clause,[],[f2638]) ).
thf(f2646,plain,
( ( $true
= ( ( $true
| ( sK3 @ sK8 @ sK22 ) )
=> ( sK9 @ sK22 ) ) )
| ~ spl5_2
| ~ spl5_37 ),
inference(superposition,[],[f907,f2526]) ).
thf(f2659,plain,
( ( $true
= ( $true
=> ( sK9 @ sK22 ) ) )
| ~ spl5_2
| ~ spl5_37 ),
inference(boolean_simplification,[],[f2646]) ).
thf(f2660,plain,
( ( $true
= ( sK9 @ sK22 ) )
| ~ spl5_2
| ~ spl5_37 ),
inference(boolean_simplification,[],[f2659]) ).
thf(f2667,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_37 ),
inference(forward_demodulation,[],[f2660,f2451]) ).
thf(f2668,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_37 ),
inference(trivial_inequality_removal,[],[f2667]) ).
thf(f2669,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
thf(f2670,plain,
( ( ( sK9 @ sK12 )
= $false )
| ~ spl5_4 ),
inference(boolean_simplification,[],[f388]) ).
thf(f2787,plain,
( ( $true
= ( ( ( ( sK3 @ sK11 @ sK12 )
| $true )
& ( sK9 @ sK11 ) )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_8 ),
inference(superposition,[],[f185,f435]) ).
thf(f2789,plain,
( ( $true
= ( ( $true
& ( sK9 @ sK11 ) )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_8 ),
inference(boolean_simplification,[],[f2787]) ).
thf(f2790,plain,
( ( $true
= ( ( sK9 @ sK11 )
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_8 ),
inference(boolean_simplification,[],[f2789]) ).
thf(f2794,plain,
( ( $true
= ( $true
=> ( sK9 @ sK12 ) ) )
| ~ spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(forward_demodulation,[],[f2790,f368]) ).
thf(f2795,plain,
( ( $true
= ( sK9 @ sK12 ) )
| ~ spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(boolean_simplification,[],[f2794]) ).
thf(f2798,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(forward_demodulation,[],[f2795,f2670]) ).
thf(f2799,plain,
( $false
| ~ spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(trivial_inequality_removal,[],[f2798]) ).
thf(f2800,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
thf(f2838,plain,
( ( $true
= ( sK15 @ sK19 ) )
| ~ spl5_14 ),
inference(boolean_simplification,[],[f1503]) ).
thf(f3245,plain,
( ( $true
= ( ( ( sK15 @ sK19 )
& ( $true
| ( sK2 @ sK19 @ sK20 ) ) )
=> ( sK15 @ sK20 ) ) )
| ~ spl5_1
| ~ spl5_14 ),
inference(superposition,[],[f559,f1472]) ).
thf(f3262,plain,
( ( $true
= ( ( ( sK15 @ sK19 )
& $true )
=> ( sK15 @ sK20 ) ) )
| ~ spl5_1
| ~ spl5_14 ),
inference(boolean_simplification,[],[f3245]) ).
thf(f3263,plain,
( ( $true
= ( ( sK15 @ sK19 )
=> ( sK15 @ sK20 ) ) )
| ~ spl5_1
| ~ spl5_14 ),
inference(boolean_simplification,[],[f3262]) ).
thf(f3294,plain,
( ( $true
= ( $true
=> ( sK15 @ sK20 ) ) )
| ~ spl5_1
| ~ spl5_14 ),
inference(forward_demodulation,[],[f3263,f2838]) ).
thf(f3295,plain,
( ( $true
= ( sK15 @ sK20 ) )
| ~ spl5_1
| ~ spl5_14 ),
inference(boolean_simplification,[],[f3294]) ).
thf(f3318,plain,
( ( $true = $false )
| ~ spl5_1
| ~ spl5_14 ),
inference(forward_demodulation,[],[f3295,f1354]) ).
thf(f3319,plain,
( $false
| ~ spl5_1
| ~ spl5_14 ),
inference(trivial_inequality_removal,[],[f3318]) ).
thf(f3320,plain,
( ~ spl5_1
| ~ spl5_14 ),
inference(avatar_contradiction_clause,[],[f3319]) ).
thf(f3710,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK15 @ Y0 )
& ( sK2 @ Y0 @ Y1 ) )
=> ( sK15 @ Y1 ) ) )
@ sK26 )
= $false )
| ~ spl5_15 ),
inference(sigma_proxy_clausification,[],[f739]) ).
thf(f3711,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK15 @ sK26 )
& ( sK2 @ sK26 @ Y0 ) )
=> ( sK15 @ Y0 ) ) )
= $false )
| ~ spl5_15 ),
inference(beta-eta_normalization,[],[f3710]) ).
thf(f3713,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK15 @ sK26 )
& ( sK2 @ sK26 @ Y0 ) )
=> ( sK15 @ Y0 ) )
@ sK27 ) )
| ~ spl5_15 ),
inference(sigma_proxy_clausification,[],[f3711]) ).
thf(f3714,plain,
( ( ( ( ( sK15 @ sK26 )
& ( sK2 @ sK26 @ sK27 ) )
=> ( sK15 @ sK27 ) )
= $false )
| ~ spl5_15 ),
inference(beta-eta_normalization,[],[f3713]) ).
thf(f3740,plain,
( ( ( sK15 @ sK27 )
= $false )
| ~ spl5_15 ),
inference(imp_proxy_clausification,[],[f3714]) ).
thf(f3741,plain,
( ( $true
= ( ( sK15 @ sK26 )
& ( sK2 @ sK26 @ sK27 ) ) )
| ~ spl5_15 ),
inference(imp_proxy_clausification,[],[f3714]) ).
thf(f3829,plain,
( ( $true
= ( sK2 @ sK26 @ sK27 ) )
| ~ spl5_15 ),
inference(and_proxy_clausification,[],[f3741]) ).
thf(f3830,plain,
( ( $true
= ( sK15 @ sK26 ) )
| ~ spl5_15 ),
inference(and_proxy_clausification,[],[f3741]) ).
thf(f3886,plain,
( ( $true
= ( ( ( sK15 @ sK26 )
& ( ( sK3 @ sK26 @ sK27 )
| $true ) )
=> ( sK15 @ sK27 ) ) )
| ~ spl5_1
| ~ spl5_15 ),
inference(superposition,[],[f559,f3829]) ).
thf(f3888,plain,
( ( $true
= ( ( ( sK15 @ sK26 )
& $true )
=> ( sK15 @ sK27 ) ) )
| ~ spl5_1
| ~ spl5_15 ),
inference(boolean_simplification,[],[f3886]) ).
thf(f3889,plain,
( ( $true
= ( ( sK15 @ sK26 )
=> ( sK15 @ sK27 ) ) )
| ~ spl5_1
| ~ spl5_15 ),
inference(boolean_simplification,[],[f3888]) ).
thf(f3894,plain,
( ( $true
= ( $true
=> ( sK15 @ sK27 ) ) )
| ~ spl5_1
| ~ spl5_15 ),
inference(forward_demodulation,[],[f3889,f3830]) ).
thf(f3895,plain,
( ( ( sK15 @ sK27 )
= $true )
| ~ spl5_1
| ~ spl5_15 ),
inference(boolean_simplification,[],[f3894]) ).
thf(f3898,plain,
( ( $true = $false )
| ~ spl5_1
| ~ spl5_15 ),
inference(forward_demodulation,[],[f3895,f3740]) ).
thf(f3899,plain,
( $false
| ~ spl5_1
| ~ spl5_15 ),
inference(trivial_inequality_removal,[],[f3898]) ).
thf(f3900,plain,
( ~ spl5_1
| ~ spl5_15 ),
inference(avatar_contradiction_clause,[],[f3899]) ).
thf(f3902,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ sK14 @ Y0 )
=> ( sK15 @ Y0 ) )
@ sK28 )
= $false )
| ~ spl5_16 ),
inference(sigma_proxy_clausification,[],[f743]) ).
thf(f3903,plain,
( ( $false
= ( ( sK2 @ sK14 @ sK28 )
=> ( sK15 @ sK28 ) ) )
| ~ spl5_16 ),
inference(beta-eta_normalization,[],[f3902]) ).
thf(f3905,plain,
( ( $false
= ( sK15 @ sK28 ) )
| ~ spl5_16 ),
inference(imp_proxy_clausification,[],[f3903]) ).
thf(f3906,plain,
( ( $true
= ( sK2 @ sK14 @ sK28 ) )
| ~ spl5_16 ),
inference(imp_proxy_clausification,[],[f3903]) ).
thf(f3908,plain,
( ( $true
= ( ( ( sK3 @ sK14 @ sK28 )
| ( sK2 @ sK14 @ sK28 ) )
=> $false ) )
| ~ spl5_1
| ~ spl5_16 ),
inference(superposition,[],[f542,f3905]) ).
thf(f3923,plain,
( ( $true
= ( ~ ( ( sK3 @ sK14 @ sK28 )
| ( sK2 @ sK14 @ sK28 ) ) ) )
| ~ spl5_1
| ~ spl5_16 ),
inference(boolean_simplification,[],[f3908]) ).
thf(f3928,plain,
( ( $true
= ( ~ ( ( sK3 @ sK14 @ sK28 )
| $true ) ) )
| ~ spl5_1
| ~ spl5_16 ),
inference(forward_demodulation,[],[f3923,f3906]) ).
thf(f3929,plain,
( ( $true = ( ~ $true ) )
| ~ spl5_1
| ~ spl5_16 ),
inference(boolean_simplification,[],[f3928]) ).
thf(f3930,plain,
( ( $true = $false )
| ~ spl5_1
| ~ spl5_16 ),
inference(boolean_simplification,[],[f3929]) ).
thf(f3931,plain,
( $false
| ~ spl5_1
| ~ spl5_16 ),
inference(trivial_inequality_removal,[],[f3930]) ).
thf(f3932,plain,
( ~ spl5_1
| ~ spl5_16 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
thf(f4091,plain,
( ( $true
= ( ~ ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) ) ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(boolean_simplification,[],[f1195]) ).
thf(f4397,plain,
( spl5_6
| spl5_5
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f289,f261,f293,f297]) ).
thf(f7110,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) ) )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(not_proxy_clausification,[],[f4091]) ).
thf(f7128,plain,
( ( ( ^ [Y0: a] :
( ( ( sK3 @ sK8 @ Y0 )
| ( sK2 @ sK8 @ Y0 ) )
=> ( sK9 @ Y0 ) )
@ sK22 )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(sigma_proxy_clausification,[],[f7110]) ).
thf(f7129,plain,
( ( ( ( ( sK3 @ sK8 @ sK22 )
| ( sK2 @ sK8 @ sK22 ) )
=> ( sK9 @ sK22 ) )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(beta-eta_normalization,[],[f7128]) ).
thf(f7143,plain,
( ( ( sK9 @ sK22 )
= $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(imp_proxy_clausification,[],[f7129]) ).
thf(f7144,plain,
( ( $true
= ( ( sK3 @ sK8 @ sK22 )
| ( sK2 @ sK8 @ sK22 ) ) )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(imp_proxy_clausification,[],[f7129]) ).
thf(f7965,plain,
( ( $true
= ( sK3 @ sK8 @ sK22 ) )
| ( ( sK2 @ sK8 @ sK22 )
= $true )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(or_proxy_clausification,[],[f7144]) ).
thf(f7982,plain,
( ( $true
= ( $true
=> ( sK9 @ sK22 ) ) )
| ~ spl5_2
| ~ spl5_36 ),
inference(boolean_simplification,[],[f2614]) ).
thf(f7983,plain,
( ( $true
= ( sK9 @ sK22 ) )
| ~ spl5_2
| ~ spl5_36 ),
inference(boolean_simplification,[],[f7982]) ).
thf(f7989,plain,
( spl5_37
| spl5_36
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f7965,f297,f265,f261,f38,f2520,f2524]) ).
thf(f8002,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_36 ),
inference(forward_demodulation,[],[f7983,f7143]) ).
thf(f8003,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_36 ),
inference(trivial_inequality_removal,[],[f8002]) ).
thf(f8004,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_36 ),
inference(avatar_contradiction_clause,[],[f8003]) ).
thf(f8019,plain,
( ( $true
= ( sK9 @ sK22 ) )
| ~ spl5_2
| ~ spl5_37 ),
inference(boolean_simplification,[],[f2659]) ).
thf(f8036,plain,
( ( $true = $false )
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_37 ),
inference(forward_demodulation,[],[f8019,f7143]) ).
thf(f8037,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_37 ),
inference(trivial_inequality_removal,[],[f8036]) ).
thf(f8038,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_37 ),
inference(avatar_contradiction_clause,[],[f8037]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f41]) ).
cnf(s2,plain,
( ~ spl5_2
| spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f268]) ).
cnf(s4,plain,
( ~ spl5_4
| spl5_7
| spl5_8 ),
inference(sat_conversion,[],[f436]) ).
cnf(s5,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_7 ),
inference(sat_conversion,[],[f459]) ).
cnf(s8,plain,
( ~ spl5_1
| spl5_11
| spl5_12 ),
inference(sat_conversion,[],[f529]) ).
cnf(s9,plain,
( ~ spl5_1
| ~ spl5_11
| spl5_13
| spl5_14 ),
inference(sat_conversion,[],[f661]) ).
cnf(s10,plain,
( ~ spl5_1
| ~ spl5_12
| spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f744]) ).
cnf(s11,plain,
( ~ spl5_1
| ~ spl5_13 ),
inference(sat_conversion,[],[f785]) ).
cnf(s27,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| spl5_36
| spl5_37 ),
inference(sat_conversion,[],[f2527]) ).
cnf(s29,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_36 ),
inference(sat_conversion,[],[f2639]) ).
cnf(s30,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_5
| ~ spl5_37 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s31,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_8 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s46,plain,
( ~ spl5_1
| ~ spl5_14 ),
inference(sat_conversion,[],[f3320]) ).
cnf(s53,plain,
( ~ spl5_1
| ~ spl5_15 ),
inference(sat_conversion,[],[f3900]) ).
cnf(s55,plain,
( ~ spl5_1
| ~ spl5_16 ),
inference(sat_conversion,[],[f3932]) ).
cnf(s56,plain,
( ~ spl5_3
| spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f4397]) ).
cnf(s74,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| spl5_36
| spl5_37 ),
inference(sat_conversion,[],[f7989]) ).
cnf(s77,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_36 ),
inference(sat_conversion,[],[f8004]) ).
cnf(s80,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_4
| ~ spl5_6
| ~ spl5_37 ),
inference(sat_conversion,[],[f8038]) ).
cnf(s82,plain,
( ~ spl5_4
| ~ spl5_2 ),
inference(rat,[],[s4,s5,s31]) ).
cnf(s83,plain,
( ~ spl5_6
| ~ spl5_3
| ~ spl5_2
| spl5_4 ),
inference(rat,[],[s74,s77,s80]) ).
cnf(s84,plain,
( ~ spl5_5
| ~ spl5_3
| ~ spl5_2
| spl5_4 ),
inference(rat,[],[s27,s29,s30]) ).
cnf(s85,plain,
( ~ spl5_3
| spl5_4
| ~ spl5_2 ),
inference(rat,[],[s84,s56,s83]) ).
cnf(s86,plain,
( spl5_4
| ~ spl5_2 ),
inference(rat,[],[s85,s2]) ).
cnf(s87,plain,
~ spl5_2,
inference(rat,[],[s86,s82]) ).
cnf(s88,plain,
spl5_1,
inference(rat,[],[s1,s87]) ).
cnf(s89,plain,
~ spl5_16,
inference(rat,[],[s55,s88]) ).
cnf(s90,plain,
~ spl5_15,
inference(rat,[],[s53,s88]) ).
cnf(s91,plain,
~ spl5_14,
inference(rat,[],[s46,s88]) ).
cnf(s93,plain,
~ spl5_13,
inference(rat,[],[s11,s88]) ).
cnf(s94,plain,
~ spl5_12,
inference(rat,[],[s10,s89,s90,s88]) ).
cnf(s95,plain,
spl5_11,
inference(rat,[],[s8,s94,s88]) ).
cnf(s97,plain,
$false,
inference(rat,[],[s9,s91,s88,s95,s93]) ).
thf(f8041,plain,
$false,
inference(avatar_sat_refutation,[],[s97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV153^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.25 % Computer : n020.cluster.edu
% 0.12/0.25 % Model : x86_64 x86_64
% 0.12/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25 % Memory : 8046.5625MB
% 0.12/0.25 % OS : Linux 6.8.0-71-generic
% 0.12/0.25 % CPULimit : 300
% 0.12/0.25 % WCLimit : 300
% 0.12/0.25 % DateTime : Tue Sep 29 15:17:34 UTC 2026
% 0.12/0.25 % CPUTime :
% 0.12/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.32 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
% 1.27/0.51 % (1176458)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.27/0.51 % (1176467)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=270634097:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.27/0.51 % (1176469)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.27/0.51 % (1176469)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
% 1.27/0.51 % (1176467)Instruction limit reached!
% 1.27/0.51 % (1176467)------------------------------
% 1.27/0.51 % (1176467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.51 % (1176467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.51 % (1176465)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2005144037:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.27/0.51 % (1176463)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=871321401:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.27/0.51 % (1176467)CaDiCaL version: 2.1.3
% 1.27/0.51 % (1176467)Termination reason: Instruction limit
% 1.27/0.51 % (1176467)Termination phase: Saturation
% 1.27/0.51 % (1176467)Time elapsed: 0.013 s
% 1.27/0.51 % (1176467)Peak memory usage: 12 MB
% 1.27/0.51 % (1176467)Instructions burned: 26 (million)
% 1.27/0.51 % (1176464)lrs+10_16_si=on:nwc=1.5:random_seed=3021040335:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.27/0.51 % (1176466)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=2227650785:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.27/0.51 % (1176468)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2407439730:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.27/0.51 % (1176469)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=997407085:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.27/0.51 % (1176465)Instruction limit reached!
% 1.27/0.51 % (1176465)------------------------------
% 1.27/0.51 % (1176465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.51 % (1176465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.51 % (1176465)CaDiCaL version: 2.1.3
% 1.27/0.51 % (1176465)Termination reason: Instruction limit
% 1.27/0.51 % (1176465)Termination phase: Preprocessing 3
% 1.27/0.51 % (1176465)Time elapsed: 0.004 s
% 1.27/0.51 % (1176465)Peak memory usage: 10 MB
% 1.27/0.51 % (1176465)Instructions burned: 4 (million)
% 1.27/0.51 % (1176464)Instruction limit reached!
% 1.27/0.51 % (1176464)------------------------------
% 1.27/0.51 % (1176464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.51 % (1176464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.51 % (1176464)CaDiCaL version: 2.1.3
% 1.27/0.51 % (1176464)Termination reason: Instruction limit
% 1.27/0.51 % (1176464)Termination phase: Saturation
% 1.27/0.51 % (1176464)Time elapsed: 0.016 s
% 1.27/0.51 % (1176464)Peak memory usage: 12 MB
% 1.27/0.51 % (1176464)Instructions burned: 18 (million)
% 1.27/0.51 % (1176476)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2057853484:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.27/0.51 % (1176476)Instruction limit reached!
% 1.27/0.51 % (1176476)------------------------------
% 1.27/0.51 % (1176476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.51 % (1176476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.51 % (1176476)CaDiCaL version: 2.1.3
% 1.27/0.51 % (1176476)Termination reason: Instruction limit
% 1.27/0.51 % (1176476)Termination phase: Preprocessing 3
% 1.27/0.51 % (1176476)Time elapsed: 0.001 s
% 1.27/0.51 % (1176476)Peak memory usage: 10 MB
% 1.27/0.51 % (1176476)Instructions burned: 3 (million)
% 1.27/0.51 % (1176478)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2760874358:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.27/0.58 % (1176481)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3613041816:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.27/0.58 % (1176479)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.27/0.58 % (1176478)Instruction limit reached!
% 1.27/0.58 % (1176478)------------------------------
% 1.27/0.58 % (1176478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.58 % (1176478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.58 % (1176478)CaDiCaL version: 2.1.3
% 1.27/0.58 % (1176478)Termination reason: Instruction limit
% 1.27/0.58 % (1176478)Termination phase: Property scanning
% 1.27/0.58 % (1176478)Time elapsed: 0.004 s
% 1.27/0.58 % (1176478)Peak memory usage: 10 MB
% 1.27/0.58 % (1176478)Instructions burned: 5 (million)
% 1.27/0.58 % (1176481)Instruction limit reached!
% 1.27/0.58 % (1176481)------------------------------
% 1.27/0.58 % (1176481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.58 % (1176481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.58 % (1176481)CaDiCaL version: 2.1.3
% 1.27/0.58 % (1176481)Termination reason: Instruction limit
% 1.27/0.58 % (1176481)Termination phase: Saturation
% 1.27/0.58 % (1176481)Time elapsed: 0.007 s
% 1.27/0.58 % (1176481)Peak memory usage: 12 MB
% 1.27/0.58 % (1176481)Instructions burned: 13 (million)
% 1.27/0.58 % (1176479)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2052756150:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.27/0.58 % (1176479)Instruction limit reached!
% 1.27/0.58 % (1176479)------------------------------
% 1.27/0.58 % (1176479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.58 % (1176479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.58 % (1176479)CaDiCaL version: 2.1.3
% 1.27/0.58 % (1176479)Termination reason: Instruction limit
% 1.27/0.58 % (1176479)Termination phase: Saturation
% 1.27/0.58 % (1176479)Time elapsed: 0.007 s
% 1.27/0.58 % (1176479)Peak memory usage: 12 MB
% 1.27/0.58 % (1176479)Instructions burned: 7 (million)
% 1.27/0.58 % (1176468)Instruction limit reached!
% 1.27/0.58 % (1176468)------------------------------
% 1.27/0.58 % (1176468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.58 % (1176468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.58 % (1176468)CaDiCaL version: 2.1.3
% 1.27/0.58 % (1176468)Termination reason: Instruction limit
% 1.27/0.58 % (1176468)Termination phase: Saturation
% 1.27/0.58 % (1176468)Time elapsed: 0.067 s
% 1.27/0.58 % (1176468)Peak memory usage: 13 MB
% 1.27/0.58 % (1176468)Instructions burned: 75 (million)
% 1.27/0.58 % (1176485)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=1563276797:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.27/0.58 % (1176484)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
% 1.27/0.58 % (1176484)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.27/0.58 % (1176463)Instruction limit reached!
% 1.27/0.58 % (1176463)------------------------------
% 1.27/0.58 % (1176463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.27/0.58 % (1176463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.27/0.58 % (1176463)CaDiCaL version: 2.1.3
% 1.27/0.58 % (1176463)Termination reason: Instruction limit
% 1.27/0.58 % (1176463)Termination phase: Saturation
% 1.27/0.58 % (1176463)Time elapsed: 0.075 s
% 1.27/0.58 % (1176463)Peak memory usage: 13 MB
% 1.27/0.58 % (1176463)Instructions burned: 88 (million)
% 1.27/0.58 % (1176487)lrs+10_1_si=on:cs=on:random_seed=3462254683:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.27/0.58 % (1176484)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1093216170:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.27/0.58 % (1176487)Instruction limit reached!
% 1.92/0.62 % (1176487)------------------------------
% 1.92/0.62 % (1176487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (1176487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (1176487)CaDiCaL version: 2.1.3
% 1.92/0.62 % (1176487)Termination reason: Instruction limit
% 1.92/0.62 % (1176487)Termination phase: Saturation
% 1.92/0.62 % (1176487)Time elapsed: 0.004 s
% 1.92/0.62 % (1176487)Peak memory usage: 11 MB
% 1.92/0.62 % (1176487)Instructions burned: 8 (million)
% 1.92/0.62 % (1176488)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.92/0.62 % (1176493)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3985501868:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.92/0.62 % (1176488)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=2026754564:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.92/0.62 % (1176484)Instruction limit reached!
% 1.92/0.62 % (1176484)------------------------------
% 1.92/0.62 % (1176484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (1176484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (1176484)CaDiCaL version: 2.1.3
% 1.92/0.62 % (1176484)Termination reason: Instruction limit
% 1.92/0.62 % (1176484)Termination phase: Saturation
% 1.92/0.62 % (1176484)Time elapsed: 0.022 s
% 1.92/0.62 % (1176484)Peak memory usage: 12 MB
% 1.92/0.62 % (1176484)Instructions burned: 29 (million)
% 1.92/0.62 % (1176488)Instruction limit reached!
% 1.92/0.62 % (1176488)------------------------------
% 1.92/0.62 % (1176488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (1176488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (1176488)CaDiCaL version: 2.1.3
% 1.92/0.62 % (1176488)Termination reason: Instruction limit
% 1.92/0.62 % (1176488)Termination phase: Property scanning
% 1.92/0.62 % (1176488)Time elapsed: 0.002 s
% 1.92/0.62 % (1176488)Peak memory usage: 9 MB
% 1.92/0.62 % (1176488)Instructions burned: 3 (million)
% 1.92/0.62 % (1176491)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1827678257:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.92/0.62 % (1176496)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3131690543:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.92/0.62 % (1176497)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=560099659:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.92/0.62 % (1176491)Instruction limit reached!
% 1.92/0.62 % (1176491)------------------------------
% 1.92/0.62 % (1176491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (1176491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (1176491)CaDiCaL version: 2.1.3
% 1.92/0.62 % (1176491)Termination reason: Instruction limit
% 1.92/0.62 % (1176491)Termination phase: Saturation
% 1.92/0.62 % (1176491)Time elapsed: 0.035 s
% 1.92/0.62 % (1176491)Peak memory usage: 12 MB
% 1.92/0.62 % (1176491)Instructions burned: 38 (million)
% 1.92/0.62 % (1176485)Instruction limit reached!
% 1.92/0.62 % (1176485)------------------------------
% 1.92/0.62 % (1176485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (1176485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (1176485)CaDiCaL version: 2.1.3
% 1.92/0.62 % (1176485)Termination reason: Instruction limit
% 1.92/0.62 % (1176485)Termination phase: Saturation
% 1.92/0.62 % (1176485)Time elapsed: 0.072 s
% 1.92/0.62 % (1176485)Peak memory usage: 13 MB
% 1.92/0.62 % (1176485)Instructions burned: 86 (million)
% 1.92/0.62 % (1176469)Instruction limit reached!
% 1.92/0.62 % (1176469)------------------------------
% 1.92/0.62 % (1176469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (1176469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (1176469)CaDiCaL version: 2.1.3
% 1.92/0.62 % (1176469)Termination reason: Instruction limit
% 1.92/0.62 % (1176469)Termination phase: Saturation
% 2.52/0.71 % (1176469)Time elapsed: 0.143 s
% 2.52/0.71 % (1176469)Peak memory usage: 12 MB
% 2.52/0.71 % (1176469)Instructions burned: 157 (million)
% 2.52/0.71 % (1176497)Instruction limit reached!
% 2.52/0.71 % (1176497)------------------------------
% 2.52/0.71 % (1176497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.71 % (1176497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.71 % (1176497)CaDiCaL version: 2.1.3
% 2.52/0.71 % (1176497)Termination reason: Instruction limit
% 2.52/0.71 % (1176497)Termination phase: Saturation
% 2.52/0.71 % (1176497)Time elapsed: 0.014 s
% 2.52/0.71 % (1176497)Peak memory usage: 12 MB
% 2.52/0.71 % (1176497)Instructions burned: 15 (million)
% 2.52/0.71 % (1176496)Instruction limit reached!
% 2.52/0.71 % (1176496)------------------------------
% 2.52/0.71 % (1176496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.71 % (1176496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.71 % (1176496)CaDiCaL version: 2.1.3
% 2.52/0.71 % (1176496)Termination reason: Instruction limit
% 2.52/0.71 % (1176496)Termination phase: Saturation
% 2.52/0.71 % (1176496)Time elapsed: 0.024 s
% 2.52/0.71 % (1176496)Peak memory usage: 12 MB
% 2.52/0.71 % (1176496)Instructions burned: 25 (million)
% 2.52/0.71 % (1176501)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4000548624:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.52/0.71 % (1176502)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1038884949:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.52/0.71 % (1176503)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1774205291: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)
% 2.52/0.71 % (1176503)Instruction limit reached!
% 2.52/0.71 % (1176503)------------------------------
% 2.52/0.71 % (1176503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.71 % (1176504)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2145386006:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.52/0.71 % (1176503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.71 % (1176503)CaDiCaL version: 2.1.3
% 2.52/0.71 % (1176503)Termination reason: Instruction limit
% 2.52/0.71 % (1176503)Termination phase: Preprocessing 3
% 2.52/0.71 % (1176503)Time elapsed: 0.003 s
% 2.52/0.71 % (1176503)Peak memory usage: 10 MB
% 2.52/0.71 % (1176503)Instructions burned: 2 (million)
% 2.52/0.71 % (1176505)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=730702839:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.52/0.71 % (1176502)Instruction limit reached!
% 2.52/0.71 % (1176502)------------------------------
% 2.52/0.71 % (1176502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.71 % (1176502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.71 % (1176502)CaDiCaL version: 2.1.3
% 2.52/0.71 % (1176502)Termination reason: Instruction limit
% 2.52/0.71 % (1176502)Termination phase: Saturation
% 2.52/0.71 % (1176502)Time elapsed: 0.013 s
% 2.52/0.71 % (1176502)Peak memory usage: 12 MB
% 2.52/0.71 % (1176502)Instructions burned: 14 (million)
% 2.52/0.71 % (1176504)Instruction limit reached!
% 2.52/0.71 % (1176504)------------------------------
% 2.52/0.71 % (1176504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.71 % (1176504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.71 % (1176504)CaDiCaL version: 2.1.3
% 2.52/0.71 % (1176504)Termination reason: Instruction limit
% 2.52/0.71 % (1176504)Termination phase: Saturation
% 2.52/0.71 % (1176504)Time elapsed: 0.022 s
% 2.52/0.71 % (1176504)Peak memory usage: 12 MB
% 2.52/0.71 % (1176504)Instructions burned: 26 (million)
% 2.52/0.71 % (1176505)Instruction limit reached!
% 2.52/0.71 % (1176505)------------------------------
% 2.52/0.71 % (1176505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.71 % (1176505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.71 % (1176505)CaDiCaL version: 2.1.3
% 2.52/0.71 % (1176505)Termination reason: Instruction limit
% 2.52/0.71 % (1176505)Termination phase: Saturation
% 2.52/0.71 % (1176505)Time elapsed: 0.021 s
% 2.52/0.71 % (1176505)Peak memory usage: 11 MB
% 3.13/0.82 % (1176505)Instructions burned: 23 (million)
% 3.13/0.82 % (1176493)Instruction limit reached!
% 3.13/0.82 % (1176493)------------------------------
% 3.13/0.82 % (1176493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.82 % (1176493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.82 % (1176493)CaDiCaL version: 2.1.3
% 3.13/0.82 % (1176493)Termination reason: Instruction limit
% 3.13/0.82 % (1176493)Termination phase: Saturation
% 3.13/0.82 % (1176493)Time elapsed: 0.112 s
% 3.13/0.82 % (1176493)Peak memory usage: 13 MB
% 3.13/0.82 % (1176493)Instructions burned: 251 (million)
% 3.13/0.82 % (1176510)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1014660895:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 3.13/0.82 % (1176512)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
% 3.13/0.82 % (1176512)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 3.13/0.82 % (1176512)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=2377163322:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 3.13/0.82 % (1176514)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=2596834450:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 3.13/0.82 % (1176513)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 3.13/0.82 % (1176513)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=4200844832:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 3.13/0.82 % (1176512)Instruction limit reached!
% 3.13/0.82 % (1176512)------------------------------
% 3.13/0.82 % (1176512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.82 % (1176512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.82 % (1176512)CaDiCaL version: 2.1.3
% 3.13/0.82 % (1176512)Termination reason: Instruction limit
% 3.13/0.82 % (1176512)Termination phase: Saturation
% 3.13/0.82 % (1176512)Time elapsed: 0.013 s
% 3.13/0.82 % (1176512)Peak memory usage: 12 MB
% 3.13/0.82 % (1176512)Instructions burned: 15 (million)
% 3.13/0.82 % (1176514)Instruction limit reached!
% 3.13/0.82 % (1176514)------------------------------
% 3.13/0.82 % (1176514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.82 % (1176515)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3642613273:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 3.13/0.82 % (1176514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.82 % (1176514)CaDiCaL version: 2.1.3
% 3.13/0.82 % (1176514)Termination reason: Instruction limit
% 3.13/0.82 % (1176514)Termination phase: Saturation
% 3.13/0.82 % (1176514)Time elapsed: 0.014 s
% 3.13/0.82 % (1176514)Peak memory usage: 12 MB
% 3.13/0.82 % (1176514)Instructions burned: 33 (million)
% 3.13/0.82 % (1176513)Instruction limit reached!
% 3.13/0.82 % (1176513)------------------------------
% 3.13/0.82 % (1176513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.82 % (1176513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.82 % (1176513)CaDiCaL version: 2.1.3
% 3.13/0.82 % (1176513)Termination reason: Instruction limit
% 3.13/0.82 % (1176513)Termination phase: Property scanning
% 3.13/0.82 % (1176513)Time elapsed: 0.007 s
% 3.13/0.82 % (1176513)Peak memory usage: 10 MB
% 3.13/0.82 % (1176513)Instructions burned: 8 (million)
% 3.13/0.82 % (1176515)Instruction limit reached!
% 3.13/0.82 % (1176515)------------------------------
% 3.13/0.82 % (1176515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.13/0.82 % (1176515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/0.82 % (1176515)CaDiCaL version: 2.1.3
% 3.13/0.82 % (1176515)Termination reason: Instruction limit
% 3.13/0.82 % (1176515)Termination phase: Property scanning
% 3.13/0.82 % (1176515)Time elapsed: 0.007 s
% 3.13/0.82 % (1176515)Peak memory usage: 10 MB
% 3.65/0.92 % (1176515)Instructions burned: 8 (million)
% 3.65/0.92 % (1176520)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3526492398:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 3.65/0.92 % (1176510)Instruction limit reached!
% 3.65/0.92 % (1176510)------------------------------
% 3.65/0.92 % (1176510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.92 % (1176510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.92 % (1176510)CaDiCaL version: 2.1.3
% 3.65/0.92 % (1176510)Termination reason: Instruction limit
% 3.65/0.92 % (1176510)Termination phase: Saturation
% 3.65/0.92 % (1176510)Time elapsed: 0.054 s
% 3.65/0.92 % (1176510)Peak memory usage: 12 MB
% 3.65/0.92 % (1176510)Instructions burned: 61 (million)
% 3.65/0.92 % (1176520)Instruction limit reached!
% 3.65/0.92 % (1176520)------------------------------
% 3.65/0.92 % (1176520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.92 % (1176520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.92 % (1176520)CaDiCaL version: 2.1.3
% 3.65/0.92 % (1176520)Termination reason: Instruction limit
% 3.65/0.92 % (1176520)Termination phase: Saturation
% 3.65/0.92 % (1176520)Time elapsed: 0.013 s
% 3.65/0.92 % (1176520)Peak memory usage: 12 MB
% 3.65/0.92 % (1176520)Instructions burned: 25 (million)
% 3.65/0.92 % (1176522)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2408329318:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 3.65/0.92 % (1176523)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4288096074:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 3.65/0.92 % (1176524)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1688513988:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 3.65/0.92 % (1176526)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1513386210:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 3.65/0.92 % (1176522)Instruction limit reached!
% 3.65/0.92 % (1176522)------------------------------
% 3.65/0.92 % (1176522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.92 % (1176522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.92 % (1176522)CaDiCaL version: 2.1.3
% 3.65/0.92 % (1176522)Termination reason: Instruction limit
% 3.65/0.92 % (1176522)Termination phase: Saturation
% 3.65/0.92 % (1176522)Time elapsed: 0.018 s
% 3.65/0.92 % (1176522)Peak memory usage: 12 MB
% 3.65/0.92 % (1176522)Instructions burned: 20 (million)
% 3.65/0.92 % (1176527)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=588483560:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.65/0.92 % (1176532)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.65/0.92 % (1176532)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3338890902:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.65/0.92 % (1176532)Instruction limit reached!
% 3.65/0.92 % (1176532)------------------------------
% 3.65/0.92 % (1176532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.92 % (1176532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.92 % (1176532)CaDiCaL version: 2.1.3
% 3.65/0.92 % (1176532)Termination reason: Instruction limit
% 3.65/0.92 % (1176532)Termination phase: Saturation
% 3.65/0.92 % (1176532)Time elapsed: 0.005 s
% 3.65/0.92 % (1176532)Peak memory usage: 12 MB
% 3.65/0.92 % (1176532)Instructions burned: 9 (million)
% 3.65/0.92 % (1176535)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=991150146:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.65/0.92 % (1176527)Instruction limit reached!
% 3.65/0.92 % (1176527)------------------------------
% 3.65/0.92 % (1176527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.65/0.92 % (1176527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/0.92 % (1176527)CaDiCaL version: 2.1.3
% 3.65/0.92 % (1176527)Termination reason: Instruction limit
% 3.65/0.92 % (1176527)Termination phase: Saturation
% 3.65/0.92 % (1176527)Time elapsed: 0.037 s
% 5.13/1.05 % (1176527)Peak memory usage: 13 MB
% 5.13/1.05 % (1176527)Instructions burned: 42 (million)
% 5.13/1.05 % (1176537)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=2415494664: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)
% 5.13/1.05 % (1176526)Instruction limit reached!
% 5.13/1.05 % (1176526)------------------------------
% 5.13/1.05 % (1176526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.05 % (1176526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.05 % (1176526)CaDiCaL version: 2.1.3
% 5.13/1.05 % (1176526)Termination reason: Instruction limit
% 5.13/1.05 % (1176526)Termination phase: Saturation
% 5.13/1.05 % (1176526)Time elapsed: 0.086 s
% 5.13/1.05 % (1176526)Peak memory usage: 14 MB
% 5.13/1.05 % (1176526)Instructions burned: 194 (million)
% 5.13/1.05 % (1176524)Instruction limit reached!
% 5.13/1.05 % (1176524)------------------------------
% 5.13/1.05 % (1176524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.05 % (1176524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.05 % (1176524)CaDiCaL version: 2.1.3
% 5.13/1.05 % (1176524)Termination reason: Instruction limit
% 5.13/1.05 % (1176524)Termination phase: Saturation
% 5.13/1.05 % (1176524)Time elapsed: 0.120 s
% 5.13/1.05 % (1176524)Peak memory usage: 13 MB
% 5.13/1.05 % (1176524)Instructions burned: 143 (million)
% 5.13/1.05 % (1176539)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 5.13/1.05 % (1176539)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3389259819:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 5.13/1.05 % (1176539)Instruction limit reached!
% 5.13/1.05 % (1176539)------------------------------
% 5.13/1.05 % (1176539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.05 % (1176539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.05 % (1176539)CaDiCaL version: 2.1.3
% 5.13/1.05 % (1176539)Termination reason: Instruction limit
% 5.13/1.05 % (1176539)Termination phase: Saturation
% 5.13/1.05 % (1176539)Time elapsed: 0.005 s
% 5.13/1.05 % (1176539)Peak memory usage: 11 MB
% 5.13/1.05 % (1176539)Instructions burned: 6 (million)
% 5.13/1.05 % (1176540)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1720363639:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 5.13/1.05 % (1176540)Instruction limit reached!
% 5.13/1.05 % (1176540)------------------------------
% 5.13/1.05 % (1176540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.05 % (1176540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.05 % (1176540)CaDiCaL version: 2.1.3
% 5.13/1.05 % (1176540)Termination reason: Instruction limit
% 5.13/1.05 % (1176540)Termination phase: Saturation
% 5.13/1.05 % (1176540)Time elapsed: 0.012 s
% 5.13/1.05 % (1176540)Peak memory usage: 12 MB
% 5.13/1.05 % (1176540)Instructions burned: 23 (million)
% 5.13/1.05 % (1176501)Instruction limit reached!
% 5.13/1.05 % (1176501)------------------------------
% 5.13/1.05 % (1176501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.05 % (1176501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.05 % (1176501)CaDiCaL version: 2.1.3
% 5.13/1.05 % (1176501)Termination reason: Instruction limit
% 5.13/1.05 % (1176501)Termination phase: Saturation
% 5.13/1.05 % (1176501)Time elapsed: 0.281 s
% 5.13/1.05 % (1176501)Peak memory usage: 13 MB
% 5.13/1.05 % (1176501)Instructions burned: 328 (million)
% 5.13/1.05 % (1176542)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3891048431:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 5.13/1.05 % (1176537)Instruction limit reached!
% 5.13/1.05 % (1176537)------------------------------
% 5.13/1.05 % (1176537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.13/1.05 % (1176537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.05 % (1176537)CaDiCaL version: 2.1.3
% 5.13/1.05 % (1176537)Termination reason: Instruction limit
% 5.13/1.05 % (1176537)Termination phase: Saturation
% 6.11/1.21 % (1176537)Time elapsed: 0.086 s
% 6.11/1.21 % (1176537)Peak memory usage: 13 MB
% 6.11/1.21 % (1176537)Instructions burned: 170 (million)
% 6.11/1.21 % (1176544)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=2561888941:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 6.11/1.21 % (1176542)Instruction limit reached!
% 6.11/1.21 % (1176542)------------------------------
% 6.11/1.21 % (1176542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.21 % (1176542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.21 % (1176542)CaDiCaL version: 2.1.3
% 6.11/1.21 % (1176542)Termination reason: Instruction limit
% 6.11/1.21 % (1176542)Termination phase: Saturation
% 6.11/1.21 % (1176542)Time elapsed: 0.017 s
% 6.11/1.21 % (1176542)Peak memory usage: 12 MB
% 6.11/1.21 % (1176542)Instructions burned: 19 (million)
% 6.11/1.21 % (1176547)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=739513759:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 6.11/1.21 % (1176545)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=3794682742: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)
% 6.11/1.21 % (1176547)Instruction limit reached!
% 6.11/1.21 % (1176547)------------------------------
% 6.11/1.21 % (1176547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.21 % (1176547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.21 % (1176547)CaDiCaL version: 2.1.3
% 6.11/1.21 % (1176547)Termination reason: Instruction limit
% 6.11/1.21 % (1176547)Termination phase: Saturation
% 6.11/1.21 % (1176547)Time elapsed: 0.022 s
% 6.11/1.21 % (1176547)Peak memory usage: 12 MB
% 6.11/1.21 % (1176547)Instructions burned: 45 (million)
% 6.11/1.21 % (1176535)Instruction limit reached!
% 6.11/1.21 % (1176535)------------------------------
% 6.11/1.21 % (1176535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.21 % (1176535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.21 % (1176535)CaDiCaL version: 2.1.3
% 6.11/1.21 % (1176535)Termination reason: Instruction limit
% 6.11/1.21 % (1176535)Termination phase: Saturation
% 6.11/1.21 % (1176535)Time elapsed: 0.158 s
% 6.11/1.21 % (1176535)Peak memory usage: 14 MB
% 6.11/1.21 % (1176535)Instructions burned: 181 (million)
% 6.11/1.21 % (1176550)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1981332888:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 6.11/1.21 % (1176553)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 6.11/1.21 % (1176553)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1975433990:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 6.11/1.21 % (1176552)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3916273231: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)
% 6.11/1.21 % (1176466)Instruction limit reached!
% 6.11/1.21 % (1176466)------------------------------
% 6.11/1.21 % (1176466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.21 % (1176466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.21 % (1176466)CaDiCaL version: 2.1.3
% 6.11/1.21 % (1176466)Termination reason: Instruction limit
% 6.11/1.21 % (1176466)Termination phase: Saturation
% 6.11/1.21 % (1176466)Time elapsed: 0.537 s
% 6.11/1.21 % (1176466)Peak memory usage: 16 MB
% 6.11/1.21 % (1176466)Instructions burned: 634 (million)
% 6.11/1.21 % (1176552)Instruction limit reached!
% 6.11/1.21 % (1176552)------------------------------
% 6.11/1.21 % (1176552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.21 % (1176552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.21 % (1176552)CaDiCaL version: 2.1.3
% 6.11/1.21 % (1176552)Termination reason: Instruction limit
% 6.11/1.21 % (1176552)Termination phase: Saturation
% 7.01/1.42 % (1176552)Time elapsed: 0.020 s
% 7.01/1.42 % (1176552)Peak memory usage: 12 MB
% 7.01/1.42 % (1176552)Instructions burned: 21 (million)
% 7.01/1.42 % (1176557)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3622049165:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 7.01/1.42 % (1176557)Instruction limit reached!
% 7.01/1.42 % (1176557)------------------------------
% 7.01/1.42 % (1176557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.42 % (1176557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.42 % (1176557)CaDiCaL version: 2.1.3
% 7.01/1.42 % (1176557)Termination reason: Instruction limit
% 7.01/1.42 % (1176557)Termination phase: Saturation
% 7.01/1.42 % (1176557)Time elapsed: 0.008 s
% 7.01/1.42 % (1176557)Peak memory usage: 12 MB
% 7.01/1.42 % (1176557)Instructions burned: 14 (million)
% 7.01/1.42 % (1176558)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=5886591:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 7.01/1.42 % (1176560)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2682889474:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 7.01/1.42 % (1176553)Instruction limit reached!
% 7.01/1.42 % (1176553)------------------------------
% 7.01/1.42 % (1176553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.42 % (1176553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.42 % (1176553)CaDiCaL version: 2.1.3
% 7.01/1.42 % (1176553)Termination reason: Instruction limit
% 7.01/1.42 % (1176553)Termination phase: Saturation
% 7.01/1.42 % (1176553)Time elapsed: 0.086 s
% 7.01/1.42 % (1176553)Peak memory usage: 13 MB
% 7.01/1.42 % (1176553)Instructions burned: 202 (million)
% 7.01/1.42 % (1176563)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1657886187:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 7.01/1.42 % (1176560)Instruction limit reached!
% 7.01/1.42 % (1176560)------------------------------
% 7.01/1.42 % (1176560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.42 % (1176560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.42 % (1176560)CaDiCaL version: 2.1.3
% 7.01/1.42 % (1176560)Termination reason: Instruction limit
% 7.01/1.42 % (1176560)Termination phase: Saturation
% 7.01/1.42 % (1176560)Time elapsed: 0.043 s
% 7.01/1.42 % (1176560)Peak memory usage: 13 MB
% 7.01/1.42 % (1176560)Instructions burned: 52 (million)
% 7.01/1.42 % (1176558)Instruction limit reached!
% 7.01/1.42 % (1176558)------------------------------
% 7.01/1.42 % (1176558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.42 % (1176558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.42 % (1176558)CaDiCaL version: 2.1.3
% 7.01/1.42 % (1176558)Termination reason: Instruction limit
% 7.01/1.42 % (1176558)Termination phase: Saturation
% 7.01/1.42 % (1176558)Time elapsed: 0.059 s
% 7.01/1.42 % (1176558)Peak memory usage: 13 MB
% 7.01/1.42 % (1176558)Instructions burned: 66 (million)
% 7.01/1.42 % (1176563)Instruction limit reached!
% 7.01/1.42 % (1176563)------------------------------
% 7.01/1.42 % (1176563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.01/1.42 % (1176563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.42 % (1176563)CaDiCaL version: 2.1.3
% 7.01/1.42 % (1176563)Termination reason: Instruction limit
% 7.01/1.42 % (1176563)Termination phase: Saturation
% 7.01/1.42 % (1176563)Time elapsed: 0.016 s
% 7.01/1.42 % (1176563)Peak memory usage: 12 MB
% 7.01/1.42 % (1176563)Instructions burned: 31 (million)
% 7.01/1.42 % (1176566)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=2564233137:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 7.01/1.42 % (1176565)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3734570116:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 7.01/1.42 % (1176567)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4139818207:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 7.01/1.42 % (1176566)Instruction limit reached!
% 7.01/1.42 % (1176566)------------------------------
% 8.30/1.62 % (1176566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.62 % (1176566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.62 % (1176566)CaDiCaL version: 2.1.3
% 8.30/1.62 % (1176566)Termination reason: Instruction limit
% 8.30/1.62 % (1176566)Termination phase: Saturation
% 8.30/1.62 % (1176566)Time elapsed: 0.016 s
% 8.30/1.62 % (1176566)Peak memory usage: 12 MB
% 8.30/1.62 % (1176566)Instructions burned: 35 (million)
% 8.30/1.62 % (1176571)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 8.30/1.62 % (1176571)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2891262148:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 8.30/1.62 % (1176544)Instruction limit reached!
% 8.30/1.62 % (1176544)------------------------------
% 8.30/1.62 % (1176544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.62 % (1176544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.62 % (1176544)CaDiCaL version: 2.1.3
% 8.30/1.62 % (1176544)Termination reason: Instruction limit
% 8.30/1.62 % (1176544)Termination phase: Saturation
% 8.30/1.62 % (1176544)Time elapsed: 0.250 s
% 8.30/1.62 % (1176544)Peak memory usage: 15 MB
% 8.30/1.62 % (1176544)Instructions burned: 317 (million)
% 8.30/1.62 % (1176573)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4233671513:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 8.30/1.62 % (1176567)Instruction limit reached!
% 8.30/1.62 % (1176567)------------------------------
% 8.30/1.62 % (1176567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.62 % (1176567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.62 % (1176567)CaDiCaL version: 2.1.3
% 8.30/1.62 % (1176567)Termination reason: Instruction limit
% 8.30/1.62 % (1176567)Termination phase: Saturation
% 8.30/1.62 % (1176567)Time elapsed: 0.057 s
% 8.30/1.62 % (1176567)Peak memory usage: 13 MB
% 8.30/1.62 % (1176567)Instructions burned: 67 (million)
% 8.30/1.62 % (1176575)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1652331100:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 8.30/1.62 % (1176565)Instruction limit reached!
% 8.30/1.62 % (1176565)------------------------------
% 8.30/1.62 % (1176565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.62 % (1176565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.62 % (1176565)CaDiCaL version: 2.1.3
% 8.30/1.62 % (1176565)Termination reason: Instruction limit
% 8.30/1.62 % (1176565)Termination phase: Saturation
% 8.30/1.62 % (1176565)Time elapsed: 0.125 s
% 8.30/1.62 % (1176565)Peak memory usage: 13 MB
% 8.30/1.62 % (1176565)Instructions burned: 137 (million)
% 8.30/1.62 % (1176577)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3363506811:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 8.30/1.62 % (1176571)Instruction limit reached!
% 8.30/1.62 % (1176571)------------------------------
% 8.30/1.62 % (1176571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.62 % (1176571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.62 % (1176571)CaDiCaL version: 2.1.3
% 8.30/1.62 % (1176571)Termination reason: Instruction limit
% 8.30/1.62 % (1176571)Termination phase: Saturation
% 8.30/1.62 % (1176571)Time elapsed: 0.125 s
% 8.30/1.62 % (1176571)Peak memory usage: 12 MB
% 8.30/1.62 % (1176571)Instructions burned: 180 (million)
% 8.30/1.62 % (1176573)Instruction limit reached!
% 8.30/1.62 % (1176573)------------------------------
% 8.30/1.62 % (1176573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.62 % (1176573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/1.62 % (1176573)CaDiCaL version: 2.1.3
% 8.30/1.62 % (1176573)Termination reason: Instruction limit
% 8.30/1.62 % (1176573)Termination phase: Saturation
% 8.30/1.62 % (1176573)Time elapsed: 0.110 s
% 8.30/1.62 % (1176573)Peak memory usage: 14 MB
% 8.30/1.62 % (1176573)Instructions burned: 248 (million)
% 8.30/1.62 % (1176575)Instruction limit reached!
% 8.30/1.62 % (1176575)------------------------------
% 8.30/1.62 % (1176575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.30/1.62 % (1176575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.75 % (1176575)CaDiCaL version: 2.1.3
% 8.90/1.75 % (1176575)Termination reason: Instruction limit
% 8.90/1.75 % (1176575)Termination phase: Saturation
% 8.90/1.75 % (1176575)Time elapsed: 0.083 s
% 8.90/1.75 % (1176575)Peak memory usage: 13 MB
% 8.90/1.75 % (1176575)Instructions burned: 97 (million)
% 8.90/1.75 % (1176581)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=480649554:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 8.90/1.75 % (1176580)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1235507502:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 8.90/1.75 % (1176579)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2562833765:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 8.90/1.75 % (1176550)Instruction limit reached!
% 8.90/1.75 % (1176550)------------------------------
% 8.90/1.75 % (1176550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.75 % (1176550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.75 % (1176550)CaDiCaL version: 2.1.3
% 8.90/1.75 % (1176550)Termination reason: Instruction limit
% 8.90/1.75 % (1176550)Termination phase: Saturation
% 8.90/1.75 % (1176550)Time elapsed: 0.404 s
% 8.90/1.75 % (1176550)Peak memory usage: 15 MB
% 8.90/1.75 % (1176550)Instructions burned: 480 (million)
% 8.90/1.75 % (1176581)Instruction limit reached!
% 8.90/1.75 % (1176581)------------------------------
% 8.90/1.75 % (1176581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.75 % (1176581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.75 % (1176581)CaDiCaL version: 2.1.3
% 8.90/1.75 % (1176581)Termination reason: Instruction limit
% 8.90/1.75 % (1176581)Termination phase: Saturation
% 8.90/1.75 % (1176581)Time elapsed: 0.066 s
% 8.90/1.75 % (1176581)Peak memory usage: 14 MB
% 8.90/1.75 % (1176581)Instructions burned: 131 (million)
% 8.90/1.75 % (1176585)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1913254095:i=44:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/44Mi)
% 8.90/1.75 % (1176586)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2406800038:s2a=on:i=571:nm=16:rtra=on_2990 on theBenchmark for (2990ds/571Mi)
% 8.90/1.75 % (1176586)Refutation not found, incomplete strategy
% 8.90/1.75 % (1176586)------------------------------
% 8.90/1.75 % (1176586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.75 % (1176586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.75 % (1176586)CaDiCaL version: 2.1.3
% 8.90/1.75 % (1176586)Termination reason: Refutation not found, incomplete strategy
% 8.90/1.75 % (1176586)Time elapsed: 0.013 s
% 8.90/1.75 % (1176586)Peak memory usage: 12 MB
% 8.90/1.75 % (1176586)Instructions burned: 28 (million)
% 8.90/1.75 % (1176586)------------------------------
% 8.90/1.75 % (1176586)------------------------------
% 8.90/1.75 % (1176585)Instruction limit reached!
% 8.90/1.75 % (1176585)------------------------------
% 8.90/1.75 % (1176585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.75 % (1176585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.75 % (1176585)CaDiCaL version: 2.1.3
% 8.90/1.75 % (1176585)Termination reason: Instruction limit
% 8.90/1.75 % (1176585)Termination phase: Saturation
% 8.90/1.75 % (1176585)Time elapsed: 0.036 s
% 8.90/1.75 % (1176585)Peak memory usage: 12 MB
% 8.90/1.75 % (1176585)Instructions burned: 44 (million)
% 8.90/1.75 % (1176589)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3625452942:i=450:rtra=on:ixr=off:ntd=on_2990 on theBenchmark for (2990ds/450Mi)
% 8.90/1.75 % (1176590)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3014027023:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/95Mi)
% 8.90/1.75 % (1176590)Instruction limit reached!
% 8.90/1.75 % (1176590)------------------------------
% 8.90/1.75 % (1176590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.75 % (1176590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.75 % (1176590)CaDiCaL version: 2.1.3
% 8.90/1.75 % (1176590)Termination reason: Instruction limit
% 8.90/1.75 % (1176590)Termination phase: Saturation
% 8.90/1.75 % (1176590)Time elapsed: 0.064 s
% 8.90/1.75 % (1176590)Peak memory usage: 12 MB
% 9.42/1.99 % (1176590)Instructions burned: 96 (million)
% 9.42/1.99 % (1176593)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=1012015710:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2989 on theBenchmark for (2989ds/65Mi)
% 9.42/1.99 % (1176593)Instruction limit reached!
% 9.42/1.99 % (1176593)------------------------------
% 9.42/1.99 % (1176593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.42/1.99 % (1176593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.99 % (1176593)CaDiCaL version: 2.1.3
% 9.42/1.99 % (1176593)Termination reason: Instruction limit
% 9.42/1.99 % (1176593)Termination phase: Saturation
% 9.42/1.99 % (1176593)Time elapsed: 0.060 s
% 9.42/1.99 % (1176593)Peak memory usage: 13 MB
% 9.42/1.99 % (1176593)Instructions burned: 66 (million)
% 9.42/1.99 % (1176577)Instruction limit reached!
% 9.42/1.99 % (1176577)------------------------------
% 9.42/1.99 % (1176577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.42/1.99 % (1176577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.99 % (1176577)CaDiCaL version: 2.1.3
% 9.42/1.99 % (1176577)Termination reason: Instruction limit
% 9.42/1.99 % (1176577)Termination phase: Saturation
% 9.42/1.99 % (1176577)Time elapsed: 0.338 s
% 9.42/1.99 % (1176577)Peak memory usage: 16 MB
% 9.42/1.99 % (1176577)Instructions burned: 427 (million)
% 9.42/1.99 % (1176595)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=345419568: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_2988 on theBenchmark for (2988ds/105Mi)
% 9.42/1.99 % (1176596)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=1115834187:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2987 on theBenchmark for (2987ds/5755Mi)
% 9.42/1.99 % (1176545)Instruction limit reached!
% 9.42/1.99 % (1176545)------------------------------
% 9.42/1.99 % (1176545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.42/1.99 % (1176545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.99 % (1176545)CaDiCaL version: 2.1.3
% 9.42/1.99 % (1176545)Termination reason: Instruction limit
% 9.42/1.99 % (1176545)Termination phase: Saturation
% 9.42/1.99 % (1176545)Time elapsed: 0.726 s
% 9.42/1.99 % (1176545)Peak memory usage: 17 MB
% 9.42/1.99 % (1176545)Instructions burned: 854 (million)
% 9.42/1.99 % (1176589)Instruction limit reached!
% 9.42/1.99 % (1176589)------------------------------
% 9.42/1.99 % (1176589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.42/1.99 % (1176589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.99 % (1176589)CaDiCaL version: 2.1.3
% 9.42/1.99 % (1176589)Termination reason: Instruction limit
% 9.42/1.99 % (1176589)Termination phase: Saturation
% 9.42/1.99 % (1176589)Time elapsed: 0.238 s
% 9.42/1.99 % (1176589)Peak memory usage: 15 MB
% 9.42/1.99 % (1176589)Instructions burned: 451 (million)
% 9.42/1.99 % (1176595)Instruction limit reached!
% 9.42/1.99 % (1176595)------------------------------
% 9.42/1.99 % (1176595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.42/1.99 % (1176595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.42/1.99 % (1176595)CaDiCaL version: 2.1.3
% 9.42/1.99 % (1176595)Termination reason: Instruction limit
% 9.42/1.99 % (1176595)Termination phase: Saturation
% 9.42/1.99 % (1176595)Time elapsed: 0.056 s
% 9.42/1.99 % (1176595)Peak memory usage: 13 MB
% 9.42/1.99 % (1176595)Instructions burned: 106 (million)
% 9.42/1.99 % (1176600)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1552393659:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/495Mi)
% 9.42/1.99 % (1176599)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=494969707:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/375Mi)
% 9.42/1.99 % (1176580)Instruction limit reached!
% 9.42/1.99 % (1176580)------------------------------
% 9.42/1.99 % (1176580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.42/1.99 % (1176580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.12 % (1176580)CaDiCaL version: 2.1.3
% 11.58/2.12 % (1176580)Termination reason: Instruction limit
% 11.58/2.12 % (1176580)Termination phase: Saturation
% 11.58/2.12 % (1176580)Time elapsed: 0.389 s
% 11.58/2.12 % (1176580)Peak memory usage: 15 MB
% 11.58/2.12 % (1176580)Instructions burned: 516 (million)
% 11.58/2.12 % (1176601)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=1951959728:cond=on:i=34:hud=10:nm=10:rtra=on_2987 on theBenchmark for (2987ds/34Mi)
% 11.58/2.12 % (1176601)Instruction limit reached!
% 11.58/2.12 % (1176601)------------------------------
% 11.58/2.12 % (1176601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.12 % (1176601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.12 % (1176601)CaDiCaL version: 2.1.3
% 11.58/2.12 % (1176601)Termination reason: Instruction limit
% 11.58/2.12 % (1176601)Termination phase: Saturation
% 11.58/2.12 % (1176601)Time elapsed: 0.019 s
% 11.58/2.12 % (1176601)Peak memory usage: 12 MB
% 11.58/2.12 % (1176601)Instructions burned: 35 (million)
% 11.58/2.12 % (1176523)Instruction limit reached!
% 11.58/2.12 % (1176523)------------------------------
% 11.58/2.12 % (1176523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.12 % (1176523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.12 % (1176523)CaDiCaL version: 2.1.3
% 11.58/2.12 % (1176523)Termination reason: Instruction limit
% 11.58/2.12 % (1176523)Termination phase: Saturation
% 11.58/2.12 % (1176523)Time elapsed: 1.002 s
% 11.58/2.12 % (1176523)Peak memory usage: 15 MB
% 11.58/2.12 % (1176523)Instructions burned: 1240 (million)
% 11.58/2.12 % (1176604)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1688535045:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/91Mi)
% 11.58/2.12 % (1176607)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1959240496:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2986 on theBenchmark for (2986ds/66Mi)
% 11.58/2.12 % (1176608)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1863410195:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2986 on theBenchmark for (2986ds/22Mi)
% 11.58/2.12 % (1176607)Instruction limit reached!
% 11.58/2.12 % (1176607)------------------------------
% 11.58/2.12 % (1176607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.12 % (1176607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.12 % (1176607)CaDiCaL version: 2.1.3
% 11.58/2.12 % (1176607)Termination reason: Instruction limit
% 11.58/2.12 % (1176607)Termination phase: Saturation
% 11.58/2.12 % (1176607)Time elapsed: 0.035 s
% 11.58/2.12 % (1176607)Peak memory usage: 12 MB
% 11.58/2.12 % (1176607)Instructions burned: 68 (million)
% 11.58/2.12 % (1176608)Instruction limit reached!
% 11.58/2.12 % (1176608)------------------------------
% 11.58/2.12 % (1176608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.12 % (1176608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.12 % (1176608)CaDiCaL version: 2.1.3
% 11.58/2.12 % (1176608)Termination reason: Instruction limit
% 11.58/2.12 % (1176608)Termination phase: Saturation
% 11.58/2.12 % (1176608)Time elapsed: 0.019 s
% 11.58/2.12 % (1176608)Peak memory usage: 12 MB
% 11.58/2.12 % (1176608)Instructions burned: 23 (million)
% 11.58/2.12 % (1176614)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=2711424488:i=338:bd=all:ins=4:rtra=on_2986 on theBenchmark for (2986ds/338Mi)
% 11.58/2.12 % (1176615)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1648775721:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/28Mi)
% 11.58/2.12 % (1176604)Instruction limit reached!
% 11.58/2.12 % (1176604)------------------------------
% 11.58/2.12 % (1176604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/2.12 % (1176604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.12 % (1176604)CaDiCaL version: 2.1.3
% 11.58/2.12 % (1176604)Termination reason: Instruction limit
% 11.58/2.12 % (1176604)Termination phase: Saturation
% 11.58/2.12 % (1176604)Time elapsed: 0.079 s
% 11.58/2.12 % (1176604)Peak memory usage: 13 MB
% 11.58/2.12 % (1176604)Instructions burned: 92 (million)
% 11.58/2.12 % (1176619)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 13.72/2.43 % (1176619)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3224460700: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)
% 13.72/2.43 % (1176615)Instruction limit reached!
% 13.72/2.43 % (1176615)------------------------------
% 13.72/2.43 % (1176615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.72/2.43 % (1176615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.43 % (1176615)CaDiCaL version: 2.1.3
% 13.72/2.43 % (1176615)Termination reason: Instruction limit
% 13.72/2.43 % (1176615)Termination phase: Saturation
% 13.72/2.43 % (1176615)Time elapsed: 0.025 s
% 13.72/2.43 % (1176615)Peak memory usage: 12 MB
% 13.72/2.43 % (1176615)Instructions burned: 28 (million)
% 13.72/2.43 % (1176621)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=4244012402:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/340Mi)
% 13.72/2.43 % (1176619)Instruction limit reached!
% 13.72/2.43 % (1176619)------------------------------
% 13.72/2.43 % (1176619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.72/2.43 % (1176619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.43 % (1176619)CaDiCaL version: 2.1.3
% 13.72/2.43 % (1176619)Termination reason: Instruction limit
% 13.72/2.43 % (1176619)Termination phase: Saturation
% 13.72/2.43 % (1176619)Time elapsed: 0.074 s
% 13.72/2.43 % (1176619)Peak memory usage: 12 MB
% 13.72/2.43 % (1176619)Instructions burned: 137 (million)
% 13.72/2.43 % (1176600)Instruction limit reached!
% 13.72/2.43 % (1176600)------------------------------
% 13.72/2.43 % (1176600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.72/2.43 % (1176600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.43 % (1176600)CaDiCaL version: 2.1.3
% 13.72/2.43 % (1176600)Termination reason: Instruction limit
% 13.72/2.43 % (1176600)Termination phase: Saturation
% 13.72/2.43 % (1176600)Time elapsed: 0.223 s
% 13.72/2.43 % (1176600)Peak memory usage: 14 MB
% 13.72/2.43 % (1176600)Instructions burned: 497 (million)
% 13.72/2.43 % (1176624)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 13.72/2.43 % (1176624)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3681996985:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/373Mi)
% 13.72/2.43 % (1176623)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2644928375:i=227:sd=1:bd=all:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/227Mi)
% 13.72/2.43 % (1176599)Instruction limit reached!
% 13.72/2.43 % (1176599)------------------------------
% 13.72/2.43 % (1176599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.72/2.43 % (1176599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.43 % (1176599)CaDiCaL version: 2.1.3
% 13.72/2.43 % (1176599)Termination reason: Instruction limit
% 13.72/2.43 % (1176599)Termination phase: Saturation
% 13.72/2.43 % (1176599)Time elapsed: 0.344 s
% 13.72/2.43 % (1176599)Peak memory usage: 15 MB
% 13.72/2.43 % (1176599)Instructions burned: 375 (million)
% 13.72/2.43 % (1176579)Instruction limit reached!
% 13.72/2.43 % (1176579)------------------------------
% 13.72/2.43 % (1176579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.72/2.43 % (1176579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.43 % (1176579)CaDiCaL version: 2.1.3
% 13.72/2.43 % (1176579)Termination reason: Instruction limit
% 13.72/2.43 % (1176579)Termination phase: Saturation
% 13.72/2.43 % (1176579)Time elapsed: 0.738 s
% 13.72/2.43 % (1176579)Peak memory usage: 16 MB
% 13.72/2.43 % (1176579)Instructions burned: 874 (million)
% 13.72/2.43 % (1176634)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3927469234:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 13.72/2.43 % (1176624)Instruction limit reached!
% 13.72/2.43 % (1176624)------------------------------
% 13.72/2.43 % (1176624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.72/2.43 % (1176624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.43 % (1176624)CaDiCaL version: 2.1.3
% 15.11/2.81 % (1176624)Termination reason: Instruction limit
% 15.11/2.81 % (1176624)Termination phase: Saturation
% 15.11/2.81 % (1176624)Time elapsed: 0.139 s
% 15.11/2.81 % (1176624)Peak memory usage: 13 MB
% 15.11/2.81 % (1176624)Instructions burned: 375 (million)
% 15.11/2.81 % (1176635)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3432461126:i=575:rtra=on_2983 on theBenchmark for (2983ds/575Mi)
% 15.11/2.81 % (1176623)Instruction limit reached!
% 15.11/2.81 % (1176623)------------------------------
% 15.11/2.81 % (1176623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.81 % (1176623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.81 % (1176623)CaDiCaL version: 2.1.3
% 15.11/2.81 % (1176638)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2846363387:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2983 on theBenchmark for (2983ds/270Mi)
% 15.11/2.81 % (1176623)Termination reason: Instruction limit
% 15.11/2.81 % (1176623)Termination phase: Saturation
% 15.11/2.81 % (1176623)Time elapsed: 0.156 s
% 15.11/2.81 % (1176623)Peak memory usage: 13 MB
% 15.11/2.81 % (1176623)Instructions burned: 230 (million)
% 15.11/2.81 % (1176621)Instruction limit reached!
% 15.11/2.81 % (1176621)------------------------------
% 15.11/2.81 % (1176621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.81 % (1176621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.81 % (1176621)CaDiCaL version: 2.1.3
% 15.11/2.81 % (1176621)Termination reason: Instruction limit
% 15.11/2.81 % (1176621)Termination phase: Saturation
% 15.11/2.81 % (1176621)Time elapsed: 0.246 s
% 15.11/2.81 % (1176621)Peak memory usage: 13 MB
% 15.11/2.81 % (1176621)Instructions burned: 340 (million)
% 15.11/2.81 % (1176614)Instruction limit reached!
% 15.11/2.81 % (1176614)------------------------------
% 15.11/2.81 % (1176614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.81 % (1176614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.81 % (1176614)CaDiCaL version: 2.1.3
% 15.11/2.81 % (1176614)Termination reason: Instruction limit
% 15.11/2.81 % (1176614)Termination phase: Saturation
% 15.11/2.81 % (1176614)Time elapsed: 0.305 s
% 15.11/2.81 % (1176614)Peak memory usage: 15 MB
% 15.11/2.81 % (1176614)Instructions burned: 338 (million)
% 15.11/2.81 % (1176642)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=2465934799:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/9840Mi)
% 15.11/2.81 % (1176646)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.11/2.81 % (1176645)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=83443955:i=421:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/421Mi)
% 15.11/2.81 % (1176646)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=2702706650:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/270Mi)
% 15.11/2.81 % (1176634)Instruction limit reached!
% 15.11/2.81 % (1176634)------------------------------
% 15.11/2.81 % (1176634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.81 % (1176634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.81 % (1176634)CaDiCaL version: 2.1.3
% 15.11/2.81 % (1176634)Termination reason: Instruction limit
% 15.11/2.81 % (1176634)Termination phase: Saturation
% 15.11/2.81 % (1176634)Time elapsed: 0.101 s
% 15.11/2.81 % (1176634)Peak memory usage: 13 MB
% 15.11/2.81 % (1176634)Instructions burned: 116 (million)
% 15.11/2.81 % (1176638)Instruction limit reached!
% 15.11/2.81 % (1176638)------------------------------
% 15.11/2.81 % (1176638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.11/2.81 % (1176638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.11/2.81 % (1176638)CaDiCaL version: 2.1.3
% 15.11/2.81 % (1176638)Termination reason: Instruction limit
% 15.11/2.81 % (1176638)Termination phase: Saturation
% 15.11/2.81 % (1176638)Time elapsed: 0.111 s
% 15.11/2.81 % (1176638)Peak memory usage: 13 MB
% 14.33/2.91 % (1176638)Instructions burned: 270 (million)
% 14.33/2.91 % (1176652)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2465332926:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/31Mi)
% 14.33/2.91 % (1176654)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 14.33/2.91 % (1176654)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
% 14.33/2.91 % (1176654)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=2031226166:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2982 on theBenchmark for (2982ds/1440Mi)
% 14.33/2.91 % (1176652)Instruction limit reached!
% 14.33/2.91 % (1176652)------------------------------
% 14.33/2.91 % (1176652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176652)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176652)Termination reason: Instruction limit
% 14.33/2.91 % (1176652)Termination phase: Saturation
% 14.33/2.91 % (1176652)Time elapsed: 0.027 s
% 14.33/2.91 % (1176652)Peak memory usage: 12 MB
% 14.33/2.91 % (1176652)Instructions burned: 32 (million)
% 14.33/2.91 % (1176657)dis+10_2_sil=128000:si=on:random_seed=3836930327:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2981 on theBenchmark for (2981ds/339Mi)
% 14.33/2.91 % (1176646)Instruction limit reached!
% 14.33/2.91 % (1176646)------------------------------
% 14.33/2.91 % (1176646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176646)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176646)Termination reason: Instruction limit
% 14.33/2.91 % (1176646)Termination phase: Saturation
% 14.33/2.91 % (1176646)Time elapsed: 0.205 s
% 14.33/2.91 % (1176646)Peak memory usage: 14 MB
% 14.33/2.91 % (1176646)Instructions burned: 271 (million)
% 14.33/2.91 % (1176659)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2154771781:i=111:add=on:fgj=on:rtra=on:fdi=1024_2980 on theBenchmark for (2980ds/111Mi)
% 14.33/2.91 % (1176657)Instruction limit reached!
% 14.33/2.91 % (1176657)------------------------------
% 14.33/2.91 % (1176657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176657)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176657)Termination reason: Instruction limit
% 14.33/2.91 % (1176657)Termination phase: Saturation
% 14.33/2.91 % (1176657)Time elapsed: 0.161 s
% 14.33/2.91 % (1176657)Peak memory usage: 13 MB
% 14.33/2.91 % (1176657)Instructions burned: 339 (million)
% 14.33/2.91 % (1176661)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=619172487:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/122Mi)
% 14.33/2.91 % (1176659)Instruction limit reached!
% 14.33/2.91 % (1176659)------------------------------
% 14.33/2.91 % (1176659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176659)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176659)Termination reason: Instruction limit
% 14.33/2.91 % (1176659)Termination phase: Saturation
% 14.33/2.91 % (1176659)Time elapsed: 0.106 s
% 14.33/2.91 % (1176659)Peak memory usage: 12 MB
% 14.33/2.91 % (1176659)Instructions burned: 111 (million)
% 14.33/2.91 % (1176645)Instruction limit reached!
% 14.33/2.91 % (1176645)------------------------------
% 14.33/2.91 % (1176645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176645)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176645)Termination reason: Instruction limit
% 14.33/2.91 % (1176645)Termination phase: Saturation
% 14.33/2.91 % (1176645)Time elapsed: 0.339 s
% 14.33/2.91 % (1176645)Peak memory usage: 14 MB
% 14.33/2.91 % (1176645)Instructions burned: 421 (million)
% 14.33/2.91 % (1176663)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=3017465860:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/136Mi)
% 14.33/2.91 % (1176664)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1219940198:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/232Mi)
% 14.33/2.91 % (1176661)Instruction limit reached!
% 14.33/2.91 % (1176661)------------------------------
% 14.33/2.91 % (1176661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176661)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176661)Termination reason: Instruction limit
% 14.33/2.91 % (1176661)Termination phase: Saturation
% 14.33/2.91 % (1176661)Time elapsed: 0.078 s
% 14.33/2.91 % (1176661)Peak memory usage: 13 MB
% 14.33/2.91 % (1176661)Instructions burned: 122 (million)
% 14.33/2.91 % (1176635)Instruction limit reached!
% 14.33/2.91 % (1176635)------------------------------
% 14.33/2.91 % (1176635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176635)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176635)Termination reason: Instruction limit
% 14.33/2.91 % (1176635)Termination phase: Saturation
% 14.33/2.91 % (1176635)Time elapsed: 0.443 s
% 14.33/2.91 % (1176635)Peak memory usage: 15 MB
% 14.33/2.91 % (1176635)Instructions burned: 575 (million)
% 14.33/2.91 % (1176668)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 14.33/2.91 % (1176668)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=2384228159:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2978 on theBenchmark for (2978ds/281Mi)
% 14.33/2.91 % (1176667)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=3387156933:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2978 on theBenchmark for (2978ds/1254Mi)
% 14.33/2.91 % (1176663)Instruction limit reached!
% 14.33/2.91 % (1176663)------------------------------
% 14.33/2.91 % (1176663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176663)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176663)Termination reason: Instruction limit
% 14.33/2.91 % (1176663)Termination phase: Property scanning
% 14.33/2.91 % (1176663)Time elapsed: 0.055 s
% 14.33/2.91 % (1176663)Peak memory usage: 11 MB
% 14.33/2.91 % (1176663)Instructions burned: 137 (million)
% 14.33/2.91 % (1176671)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1013424449:i=619:add=on:rtra=on_2978 on theBenchmark for (2978ds/619Mi)
% 14.33/2.91 % (1176668)Instruction limit reached!
% 14.33/2.91 % (1176668)------------------------------
% 14.33/2.91 % (1176668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176668)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176668)Termination reason: Instruction limit
% 14.33/2.91 % (1176668)Termination phase: Saturation
% 14.33/2.91 % (1176668)Time elapsed: 0.130 s
% 14.33/2.91 % (1176668)Peak memory usage: 12 MB
% 14.33/2.91 % (1176668)Instructions burned: 283 (million)
% 14.33/2.91 % (1176664)Instruction limit reached!
% 14.33/2.91 % (1176664)------------------------------
% 14.33/2.91 % (1176664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176664)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176664)Termination reason: Instruction limit
% 14.33/2.91 % (1176664)Termination phase: Saturation
% 14.33/2.91 % (1176664)Time elapsed: 0.192 s
% 14.33/2.91 % (1176664)Peak memory usage: 13 MB
% 14.33/2.91 % (1176664)Instructions burned: 232 (million)
% 14.33/2.91 % (1176673)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=3445808556:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/865Mi)
% 14.33/2.91 % (1176674)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1445431307:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/212Mi)
% 14.33/2.91 % (1176674)Instruction limit reached!
% 14.33/2.91 % (1176674)------------------------------
% 14.33/2.91 % (1176674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176674)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176674)Termination reason: Instruction limit
% 14.33/2.91 % (1176674)Termination phase: Saturation
% 14.33/2.91 % (1176674)Time elapsed: 0.164 s
% 14.33/2.91 % (1176674)Peak memory usage: 14 MB
% 14.33/2.91 % (1176674)Instructions burned: 213 (million)
% 14.33/2.91 % (1176677)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3047696232:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/130Mi)
% 14.33/2.91 % (1176673) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1176458-1176673"...
% 14.33/2.91 % (1176673)...printing done.
% 14.33/2.91 % (1176673)Refutation found. Thanks to Tanya!
% 14.33/2.91 % SZS status Theorem for theBenchmark
% 14.33/2.91 % SZS output start Proof for theBenchmark
% See solution above
% 14.33/2.91 % (1176673)------------------------------
% 14.33/2.91 % (1176673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.33/2.91 % (1176673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.33/2.91 % (1176673)CaDiCaL version: 2.1.3
% 14.33/2.91 % (1176673)Termination reason: Refutation
% 14.33/2.91 % (1176673)Time elapsed: 0.272 s
% 14.33/2.91 % (1176673)Peak memory usage: 17 MB
% 14.33/2.91 % (1176673)Instructions burned: 569 (million)
% 14.33/2.91 % (1176458)Success in time 2.576 s
% 14.33/2.91 % Vampire exiting
%------------------------------------------------------------------------------