%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV150^5 : 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 : n011.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 19.30s 3.15s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 23
% Syntax : Number of formulae : 367 ( 29 unt; 0 typ; 22 def)
% Number of atoms : 3349 ( 307 equ; 0 cnn)
% Maximal formula atoms : 5 ( 9 avg)
% Number of connectives : 9117 ( 544 ~; 728 |; 646 &;5085 @)
% ( 22 <=>; 973 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 534 ( 534 >; 0 *; 0 +; 0 <<)
% Number of symbols : 105 ( 101 usr; 62 con; 0-4 aty)
% (1119 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 1342 ( 0 sgn 129 !; 0 ?;1342 :)
% 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,
vIMP: $o > $o > $o ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
vOR: $o > $o > $o ).
thf(func_def_6,type,
db8:
!>[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,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_20,type,
sK0: a > a > $o ).
thf(func_def_21,type,
sK1: a > a > $o ).
thf(func_def_22,type,
sK2: a ).
thf(func_def_23,type,
sK3: a ).
thf(func_def_25,type,
sK5: a > $o ).
thf(func_def_26,type,
sK6: a ).
thf(func_def_27,type,
sK7: a > $o ).
thf(func_def_28,type,
sK8: a ).
thf(func_def_29,type,
sK9: a ).
thf(func_def_30,type,
sK10: a ).
thf(func_def_31,type,
sK11: a > $o ).
thf(func_def_32,type,
sK12: a > $o ).
thf(func_def_33,type,
sK13: a ).
thf(func_def_34,type,
sK14: a ).
thf(func_def_35,type,
sK15: a > $o ).
thf(func_def_36,type,
sK16: a > $o ).
thf(func_def_37,type,
sK17: a ).
thf(func_def_38,type,
sK18: a ).
thf(func_def_39,type,
sK19: a > $o ).
thf(func_def_40,type,
sK20: a ).
thf(func_def_41,type,
sK21: a ).
thf(func_def_42,type,
sK22: a ).
thf(func_def_43,type,
sK23: a > $o ).
thf(func_def_44,type,
sK24: a ).
thf(func_def_45,type,
sK25: a ).
thf(func_def_46,type,
sK26: a ).
thf(func_def_47,type,
sK27: a ).
thf(func_def_48,type,
sK28: a ).
thf(func_def_49,type,
sK29: a ).
thf(func_def_50,type,
sK30: a ).
thf(func_def_51,type,
sK31: a ).
thf(func_def_52,type,
sK32: a ).
thf(func_def_53,type,
sK33: a ).
thf(func_def_54,type,
sK34: a ).
thf(func_def_55,type,
sK35: a ).
thf(func_def_56,type,
sK36: a ).
thf(func_def_57,type,
sK37: a ).
thf(func_def_58,type,
sK38: a ).
thf(func_def_59,type,
sK39: a ).
thf(func_def_60,type,
sK40: a > $o ).
thf(func_def_61,type,
sK41: a > $o ).
thf(func_def_62,type,
sK42: a ).
thf(func_def_63,type,
sK43: a ).
thf(func_def_64,type,
sK44: a ).
thf(func_def_65,type,
sK45: a ).
thf(func_def_66,type,
sK46: a ).
thf(func_def_67,type,
sK47: a ).
thf(func_def_68,type,
sK48: a > $o ).
thf(func_def_69,type,
sK49: a > $o ).
thf(func_def_70,type,
sK50: a > $o ).
thf(func_def_71,type,
sK51: a > $o ).
thf(func_def_72,type,
sK52: a > $o ).
thf(func_def_73,type,
sK53: a > $o ).
thf(func_def_74,type,
sK54: a ).
thf(func_def_75,type,
sK55: a ).
thf(func_def_76,type,
sK56: a > $o ).
thf(func_def_77,type,
sK57: a > $o ).
thf(func_def_78,type,
sK58: a > $o ).
thf(func_def_79,type,
sK59: a > $o ).
thf(func_def_80,type,
sK60: a > $o ).
thf(func_def_81,type,
sK61: ( a > $o ) > a ).
thf(f1,conjecture,
! [X1: a > a > $o,X0: a > a > $o] :
( ( ^ [X2: a,X3: a] :
! [X4: a > $o] :
( ( ! [X5: a] :
( ( ! [X8: a > $o] :
( ( ! [X9: a] :
( ( X0 @ X2 @ X9 )
=> ( X8 @ X9 ) )
& ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X8 @ X6 ) )
=> ( X8 @ X7 ) ) )
=> ( X8 @ X5 ) )
| ! [X8: a > $o] :
( ( ! [X9: a] :
( ( X1 @ X2 @ X9 )
=> ( X8 @ X9 ) )
& ! [X7: a,X6: a] :
( ( ( X8 @ X6 )
& ( X1 @ X6 @ X7 ) )
=> ( X8 @ X7 ) ) )
=> ( X8 @ X5 ) ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ! [X8: a > $o] :
( ( ! [X11: a,X10: a] :
( ( ( X1 @ X10 @ X11 )
& ( X8 @ X10 ) )
=> ( X8 @ X11 ) )
& ! [X5: a] :
( ( X1 @ X6 @ X5 )
=> ( X8 @ X5 ) ) )
=> ( X8 @ X7 ) )
| ! [X8: a > $o] :
( ( ! [X11: a,X10: a] :
( ( ( X0 @ X10 @ X11 )
& ( X8 @ X10 ) )
=> ( X8 @ X11 ) )
& ! [X5: a] :
( ( X0 @ X6 @ X5 )
=> ( X8 @ X5 ) ) )
=> ( X8 @ X7 ) ) ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) ) )
= ( ^ [X2: a,X3: a] :
! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ( X0 @ X6 @ X7 )
| ( X1 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM251A_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > $o,X0: a > a > $o] :
( ( ^ [X2: a,X3: a] :
! [X4: a > $o] :
( ( ! [X5: a] :
( ( ! [X8: a > $o] :
( ( ! [X9: a] :
( ( X0 @ X2 @ X9 )
=> ( X8 @ X9 ) )
& ! [X7: a,X6: a] :
( ( ( X0 @ X6 @ X7 )
& ( X8 @ X6 ) )
=> ( X8 @ X7 ) ) )
=> ( X8 @ X5 ) )
| ! [X8: a > $o] :
( ( ! [X9: a] :
( ( X1 @ X2 @ X9 )
=> ( X8 @ X9 ) )
& ! [X7: a,X6: a] :
( ( ( X8 @ X6 )
& ( X1 @ X6 @ X7 ) )
=> ( X8 @ X7 ) ) )
=> ( X8 @ X5 ) ) )
=> ( X4 @ X5 ) )
& ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ! [X8: a > $o] :
( ( ! [X11: a,X10: a] :
( ( ( X1 @ X10 @ X11 )
& ( X8 @ X10 ) )
=> ( X8 @ X11 ) )
& ! [X5: a] :
( ( X1 @ X6 @ X5 )
=> ( X8 @ X5 ) ) )
=> ( X8 @ X7 ) )
| ! [X8: a > $o] :
( ( ! [X11: a,X10: a] :
( ( ( X0 @ X10 @ X11 )
& ( X8 @ X10 ) )
=> ( X8 @ X11 ) )
& ! [X5: a] :
( ( X0 @ X6 @ X5 )
=> ( X8 @ X5 ) ) )
=> ( X8 @ X7 ) ) ) )
=> ( X4 @ X7 ) ) )
=> ( X4 @ X3 ) ) )
= ( ^ [X2: a,X3: a] :
! [X4: a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X4 @ X6 )
& ( ( X0 @ X6 @ X7 )
| ( X1 @ X6 @ X7 ) ) )
=> ( X4 @ X7 ) )
& ! [X5: a] :
( ( ( X0 @ X2 @ X5 )
| ( X1 @ X2 @ X5 ) )
=> ( X4 @ X5 ) ) )
=> ( X4 @ X3 ) ) ) ),
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] :
( ( ! [X6: a > $o] :
( ( ! [X7: a] :
( ( X1 @ X2 @ X7 )
=> ( X6 @ X7 ) )
& ! [X8: a,X9: a] :
( ( ( X1 @ X9 @ X8 )
& ( X6 @ X9 ) )
=> ( X6 @ X8 ) ) )
=> ( X6 @ X5 ) )
| ! [X10: a > $o] :
( ( ! [X11: a] :
( ( X0 @ X2 @ X11 )
=> ( X10 @ X11 ) )
& ! [X12: a,X13: a] :
( ( ( X10 @ X13 )
& ( X0 @ X13 @ X12 ) )
=> ( X10 @ X12 ) ) )
=> ( X10 @ X5 ) ) )
=> ( X4 @ X5 ) )
& ! [X14: a,X15: a] :
( ( ( X4 @ X14 )
& ( ! [X16: a > $o] :
( ( ! [X17: a,X18: a] :
( ( ( X0 @ X18 @ X17 )
& ( X16 @ X18 ) )
=> ( X16 @ X17 ) )
& ! [X19: a] :
( ( X0 @ X14 @ X19 )
=> ( X16 @ X19 ) ) )
=> ( X16 @ X15 ) )
| ! [X20: a > $o] :
( ( ! [X21: a,X22: a] :
( ( ( X1 @ X22 @ X21 )
& ( X20 @ X22 ) )
=> ( X20 @ X21 ) )
& ! [X23: a] :
( ( X1 @ X14 @ X23 )
=> ( X20 @ X23 ) ) )
=> ( X20 @ X15 ) ) ) )
=> ( X4 @ X15 ) ) )
=> ( X4 @ X3 ) ) )
= ( ^ [X24: a,X25: a] :
! [X26: a > $o] :
( ( ! [X27: a,X28: a] :
( ( ( X26 @ X27 )
& ( ( X1 @ X27 @ X28 )
| ( X0 @ X27 @ X28 ) ) )
=> ( X26 @ X28 ) )
& ! [X29: a] :
( ( ( X1 @ X24 @ X29 )
| ( X0 @ X24 @ X29 ) )
=> ( X26 @ X29 ) ) )
=> ( X26 @ X25 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y0 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y1 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y1 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y1 @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
= ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y2 @ Y5 )
| ( Y0 @ Y2 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y1 @ Y6 @ Y5 )
| ( Y0 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y0 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y1 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y1 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y1 @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
= ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y2 @ Y5 )
| ( Y0 @ Y2 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y1 @ Y6 @ Y5 )
| ( Y0 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y0 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y1 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y1 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y1 @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
= ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y2 @ Y5 )
| ( Y0 @ Y2 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y1 @ Y6 @ Y5 )
| ( Y0 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y0 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y0 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y7: a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( ( Y1 @ Y6 @ Y8 )
=> ( Y7 @ Y8 ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y7 @ Y8 )
& ( Y1 @ Y8 @ Y9 ) )
=> ( Y7 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 ) ) ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y1 @ Y7 @ Y8 )
& ( Y6 @ Y7 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y2 @ Y7 )
=> ( Y6 @ Y7 ) ) ) )
=> ( Y6 @ Y5 ) ) ) )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
= ( ^ [Y2: a,Y3: a] :
( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( ( Y1 @ Y2 @ Y5 )
| ( Y0 @ Y2 @ Y5 ) )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( ( Y1 @ Y6 @ Y5 )
| ( Y0 @ Y6 @ Y5 ) )
& ( Y4 @ Y6 ) )
=> ( Y4 @ Y5 ) ) ) ) )
=> ( Y4 @ Y3 ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f8]) ).
thf(f12,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ^ [Y1: a,Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( sK0 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( sK0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y0 @ Y6 @ Y7 )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y1 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK0 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( sK0 @ Y1 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) )
= ( ^ [Y1: a,Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y1 @ Y4 )
| ( sK0 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( Y0 @ Y5 @ Y4 )
| ( sK0 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f13,plain,
( ( ^ [Y0: a > a > $o] :
( ( ^ [Y1: a,Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( sK0 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( sK0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y6: a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y5 @ Y7 )
=> ( Y6 @ Y7 ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y6 @ Y7 )
& ( Y0 @ Y7 @ Y8 ) )
=> ( Y6 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 ) ) ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y0 @ Y6 @ Y7 )
& ( Y5 @ Y6 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y1 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK0 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( ( sK0 @ Y1 @ Y6 )
=> ( Y5 @ Y6 ) ) ) )
=> ( Y5 @ Y4 ) ) ) )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) )
= ( ^ [Y1: a,Y2: a] :
( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( ( Y0 @ Y1 @ Y4 )
| ( sK0 @ Y1 @ Y4 ) )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( ( Y0 @ Y5 @ Y4 )
| ( sK0 @ Y5 @ Y4 ) )
& ( Y3 @ Y5 ) )
=> ( Y3 @ Y4 ) ) ) ) )
=> ( Y3 @ Y2 ) ) ) ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f12]) ).
thf(f14,plain,
( $false
= ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( sK0 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK0 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( sK1 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK1 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( sK1 @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( sK1 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( sK0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( sK0 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y0 @ Y3 )
| ( sK0 @ Y0 @ Y3 ) )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK1 @ Y4 @ Y3 )
| ( sK0 @ Y4 @ Y3 ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) ) )
=> ( Y2 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f15,plain,
( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y0 @ Y3 )
| ( sK0 @ Y0 @ Y3 ) )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK1 @ Y4 @ Y3 )
| ( sK0 @ Y4 @ Y3 ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
!= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( sK0 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK0 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( sK1 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK1 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( sK1 @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( sK1 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( sK0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( sK0 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) ) ),
inference(equality_proxy_clausification,[],[f14]) ).
thf(f16,plain,
( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y0 @ Y3 )
| ( sK0 @ Y0 @ Y3 ) )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( sK1 @ Y4 @ Y3 )
| ( sK0 @ Y4 @ Y3 ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) ) )
=> ( Y2 @ Y1 ) ) )
@ sK2 )
!= ( ^ [Y0: a,Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( sK0 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK0 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y5: a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( ( sK1 @ Y4 @ Y6 )
=> ( Y5 @ Y6 ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y5 @ Y6 )
& ( sK1 @ Y6 @ Y7 ) )
=> ( Y5 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 ) ) ) )
& ( Y2 @ Y4 ) )
=> ( Y2 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( sK1 @ Y5 @ Y6 )
& ( Y4 @ Y5 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( sK1 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( sK0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( ( sK0 @ Y0 @ Y5 )
=> ( Y4 @ Y5 ) ) ) )
=> ( Y4 @ Y3 ) ) ) )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
@ sK2 ) ),
inference(negative_extensionality,[],[f15]) ).
thf(f17,plain,
( ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( sK0 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( sK0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( sK1 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( sK1 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 ) ) ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( sK1 @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
!= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ sK2 @ Y2 )
| ( sK0 @ sK2 @ Y2 ) )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK1 @ Y3 @ Y2 )
| ( sK0 @ Y3 @ Y2 ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f16]) ).
thf(f18,plain,
( ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ sK2 @ Y2 )
| ( sK0 @ sK2 @ Y2 ) )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( sK1 @ Y3 @ Y2 )
| ( sK0 @ Y3 @ Y2 ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 )
!= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( sK0 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( sK0 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y4: a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( ( sK1 @ Y3 @ Y5 )
=> ( Y4 @ Y5 ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y4 @ Y5 )
& ( sK1 @ Y5 @ Y6 ) )
=> ( Y4 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 ) ) ) )
& ( Y1 @ Y3 ) )
=> ( Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( sK1 @ Y4 @ Y5 )
& ( Y3 @ Y4 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ sK2 @ Y4 )
=> ( Y3 @ Y4 ) ) ) )
=> ( Y3 @ Y2 ) ) ) )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK3 ) ),
inference(negative_extensionality,[],[f17]) ).
thf(f19,plain,
( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) )
!= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) ) )
| ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) ) ) ) ),
inference(xor_proxy_clausification,[],[f19]) ).
thf(f21,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) )
= $false )
| ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) ) )
= $false ) ),
inference(xor_proxy_clausification,[],[f19]) ).
thf(f23,definition,
( spl4_1
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
thf(f25,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) ) )
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f23]) ).
thf(f27,definition,
( spl4_2
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
thf(f29,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) ) ) )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f27]) ).
thf(f30,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f20,f27,f23]) ).
thf(f32,definition,
( spl4_3
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
thf(f34,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) ) )
= $false )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f32]) ).
thf(f36,definition,
( spl4_4
<=> ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
thf(f38,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) ) )
= $false )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f36]) ).
thf(f39,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f21,f36,f32]) ).
thf(f40,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) )
@ X1 ) )
| ~ spl4_2 ),
inference(pi_proxy_clausification,[],[f29]) ).
thf(f41,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( X1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( X1 @ Y1 ) )
=> ( X1 @ Y0 ) ) ) ) )
=> ( X1 @ sK3 ) ) )
| ~ spl4_2 ),
inference(beta-eta_normalization,[],[f40]) ).
thf(f43,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) )
@ sK5 )
= $false )
| ~ spl4_3 ),
inference(sigma_proxy_clausification,[],[f34]) ).
thf(f44,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK5 @ Y0 ) ) ) )
=> ( sK5 @ sK3 ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
( ( $false
= ( sK5 @ sK3 ) )
| ~ spl4_3 ),
inference(imp_proxy_clausification,[],[f44]) ).
thf(f46,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK5 @ Y0 ) ) ) ) )
| ~ spl4_3 ),
inference(imp_proxy_clausification,[],[f44]) ).
thf(f48,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK5 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) ) )
=> $false ) )
| ~ spl4_2
| ~ spl4_3 ),
inference(superposition,[],[f41,f45]) ).
thf(f49,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK5 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) ) ) ) )
| ~ spl4_2
| ~ spl4_3 ),
inference(boolean_simplification,[],[f48]) ).
thf(f53,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK5 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) ) ) )
| ~ spl4_2
| ~ spl4_3 ),
inference(not_proxy_clausification,[],[f49]) ).
thf(f54,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK5 @ Y0 ) ) ) )
| ~ spl4_3 ),
inference(and_proxy_clausification,[],[f46]) ).
thf(f55,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) ) )
| ~ spl4_3 ),
inference(and_proxy_clausification,[],[f46]) ).
thf(f56,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK5 @ Y0 ) ) ) )
| ~ spl4_2
| ~ spl4_3 ),
inference(and_proxy_clausification,[],[f53]) ).
thf(f58,definition,
( spl4_5
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK5 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
thf(f60,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK5 @ Y0 ) ) ) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f58]) ).
thf(f62,definition,
( spl4_6
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
thf(f64,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) ) ) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f66,plain,
( ( $true = $false )
| ~ spl4_1
| ~ spl4_3 ),
inference(forward_demodulation,[],[f25,f34]) ).
thf(f67,plain,
( $false
| ~ spl4_1
| ~ spl4_3 ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f68,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(avatar_contradiction_clause,[],[f67]) ).
thf(f78,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK5 @ Y0 ) )
@ sK6 ) )
| ~ spl4_5 ),
inference(sigma_proxy_clausification,[],[f60]) ).
thf(f79,plain,
( ( $false
= ( ( ( sK1 @ sK2 @ sK6 )
| ( sK0 @ sK2 @ sK6 ) )
=> ( sK5 @ sK6 ) ) )
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f82,plain,
( ( ( sK5 @ sK6 )
= $false )
| ~ spl4_5 ),
inference(imp_proxy_clausification,[],[f79]) ).
thf(f83,plain,
( ( $true
= ( ( sK1 @ sK2 @ sK6 )
| ( sK0 @ sK2 @ sK6 ) ) )
| ~ spl4_5 ),
inference(imp_proxy_clausification,[],[f79]) ).
thf(f91,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK5 @ Y0 ) )
@ X1 ) )
| ~ spl4_3 ),
inference(pi_proxy_clausification,[],[f54]) ).
thf(f92,plain,
( ! [X1: a] :
( $true
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ X1 ) ) ) )
=> ( sK5 @ X1 ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f91]) ).
thf(f93,plain,
( ( ( sK0 @ sK2 @ sK6 )
= $true )
| ( $true
= ( sK1 @ sK2 @ sK6 ) )
| ~ spl4_5 ),
inference(or_proxy_clausification,[],[f83]) ).
thf(f97,definition,
( spl4_7
<=> ( ( sK0 @ sK2 @ sK6 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
thf(f99,plain,
( ( ( sK0 @ sK2 @ sK6 )
= $true )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f97]) ).
thf(f101,definition,
( spl4_8
<=> ( $true
= ( sK1 @ sK2 @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
thf(f103,plain,
( ( $true
= ( sK1 @ sK2 @ sK6 ) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f106,plain,
( ( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ sK2 @ Y1 )
| ( sK0 @ sK2 @ Y1 ) )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( sK1 @ Y2 @ Y1 )
| ( sK0 @ Y2 @ Y1 ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) ) )
=> ( Y0 @ sK3 ) )
@ sK7 )
= $false )
| ~ spl4_4 ),
inference(sigma_proxy_clausification,[],[f38]) ).
thf(f107,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) ) )
=> ( sK7 @ sK3 ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f106]) ).
thf(f110,plain,
( ( ( sK7 @ sK3 )
= $false )
| ~ spl4_4 ),
inference(imp_proxy_clausification,[],[f107]) ).
thf(f111,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) ) ) )
| ~ spl4_4 ),
inference(imp_proxy_clausification,[],[f107]) ).
thf(f116,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK0 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK0 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( sK1 @ Y2 @ Y4 )
=> ( Y3 @ Y4 ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y3 @ Y4 )
& ( sK1 @ Y4 @ Y5 ) )
=> ( Y3 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 ) ) ) )
& ( Y0 @ Y2 ) )
=> ( Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( sK1 @ Y3 @ Y4 )
& ( Y2 @ Y3 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ sK2 @ Y3 )
=> ( Y2 @ Y3 ) ) ) )
=> ( Y2 @ Y1 ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK3 ) )
@ X1 ) )
| ~ spl4_1 ),
inference(pi_proxy_clausification,[],[f25]) ).
thf(f117,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( X1 @ Y1 ) )
=> ( X1 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( X1 @ Y0 ) ) ) )
=> ( X1 @ sK3 ) ) )
| ~ spl4_1 ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f120,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK7 @ Y0 ) ) ) )
=> $false ) )
| ~ spl4_1
| ~ spl4_4 ),
inference(superposition,[],[f117,f110]) ).
thf(f121,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK7 @ Y0 ) ) ) ) ) )
| ~ spl4_1
| ~ spl4_4 ),
inference(boolean_simplification,[],[f120]) ).
thf(f122,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) ) )
| ~ spl4_4 ),
inference(and_proxy_clausification,[],[f111]) ).
thf(f123,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_4 ),
inference(and_proxy_clausification,[],[f111]) ).
thf(f124,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK1 @ sK2 @ Y0 )
| ( sK0 @ sK2 @ Y0 ) )
=> ( sK7 @ Y0 ) )
@ X1 ) )
| ~ spl4_4 ),
inference(pi_proxy_clausification,[],[f123]) ).
thf(f125,plain,
( ! [X1: a] :
( $true
= ( ( ( sK1 @ sK2 @ X1 )
| ( sK0 @ sK2 @ X1 ) )
=> ( sK7 @ X1 ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f129,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) )
@ X1 ) )
| ~ spl4_4 ),
inference(pi_proxy_clausification,[],[f122]) ).
thf(f130,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( ( sK1 @ Y0 @ X1 )
| ( sK0 @ Y0 @ X1 ) )
& ( sK7 @ Y0 ) )
=> ( sK7 @ X1 ) ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f129]) ).
thf(f132,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( ( sK1 @ Y0 @ X1 )
| ( sK0 @ Y0 @ X1 ) )
& ( sK7 @ Y0 ) )
=> ( sK7 @ X1 ) )
@ X2 ) )
| ~ spl4_4 ),
inference(pi_proxy_clausification,[],[f130]) ).
thf(f133,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( ( ( sK1 @ X2 @ X1 )
| ( sK0 @ X2 @ X1 ) )
& ( sK7 @ X2 ) )
=> ( sK7 @ X1 ) ) )
| ~ spl4_4 ),
inference(beta-eta_normalization,[],[f132]) ).
thf(f172,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK7 @ Y0 ) ) ) ) )
| ~ spl4_1
| ~ spl4_4 ),
inference(not_proxy_clausification,[],[f121]) ).
thf(f194,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_1
| ~ spl4_4 ),
inference(and_proxy_clausification,[],[f172]) ).
thf(f196,definition,
( spl4_9
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK7 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
thf(f198,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f196]) ).
thf(f200,definition,
( spl4_10
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
thf(f202,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) ) ) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f203,plain,
( spl4_9
| spl4_10
| ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f194,f36,f23,f200,f196]) ).
thf(f221,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( sK1 @ Y2 @ Y3 )
& ( Y1 @ Y2 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ sK2 @ Y2 )
=> ( Y1 @ Y2 ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
=> ( sK7 @ Y0 ) )
@ sK8 ) )
| ~ spl4_9 ),
inference(sigma_proxy_clausification,[],[f198]) ).
thf(f222,plain,
( ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) )
=> ( sK7 @ sK8 ) )
= $false )
| ~ spl4_9 ),
inference(beta-eta_normalization,[],[f221]) ).
thf(f240,plain,
( ( ( sK7 @ sK8 )
= $false )
| ~ spl4_9 ),
inference(imp_proxy_clausification,[],[f222]) ).
thf(f241,plain,
( ( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) ) )
| ~ spl4_9 ),
inference(imp_proxy_clausification,[],[f222]) ).
thf(f258,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) )
| ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) )
| ~ spl4_9 ),
inference(or_proxy_clausification,[],[f241]) ).
thf(f260,definition,
( spl4_11
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
thf(f262,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f264,definition,
( spl4_12
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
thf(f266,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) ) ) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f264]) ).
thf(f269,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) )
@ X1 ) )
| ~ spl4_11 ),
inference(pi_proxy_clausification,[],[f262]) ).
thf(f270,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( X1 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
=> ( X1 @ sK8 ) ) )
| ~ spl4_11 ),
inference(beta-eta_normalization,[],[f269]) ).
thf(f283,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
=> $false ) )
| ~ spl4_9
| ~ spl4_11 ),
inference(superposition,[],[f270,f240]) ).
thf(f284,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) ) ) )
| ~ spl4_9
| ~ spl4_11 ),
inference(boolean_simplification,[],[f283]) ).
thf(f368,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) ) )
| ~ spl4_9
| ~ spl4_11 ),
inference(not_proxy_clausification,[],[f284]) ).
thf(f384,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK7 @ Y1 ) )
=> ( sK7 @ Y0 ) ) )
@ sK9 ) )
| ~ spl4_10 ),
inference(sigma_proxy_clausification,[],[f202]) ).
thf(f385,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ sK9 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ sK9 ) ) ) )
& ( sK7 @ Y0 ) )
=> ( sK7 @ sK9 ) ) ) )
| ~ spl4_10 ),
inference(beta-eta_normalization,[],[f384]) ).
thf(f387,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ sK9 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ sK9 ) ) ) )
& ( sK7 @ Y0 ) )
=> ( sK7 @ sK9 ) )
@ sK10 ) )
| ~ spl4_10 ),
inference(sigma_proxy_clausification,[],[f385]) ).
thf(f388,plain,
( ( $false
= ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
& ( sK7 @ sK10 ) )
=> ( sK7 @ sK9 ) ) )
| ~ spl4_10 ),
inference(beta-eta_normalization,[],[f387]) ).
thf(f391,plain,
( ( $false
= ( sK7 @ sK9 ) )
| ~ spl4_10 ),
inference(imp_proxy_clausification,[],[f388]) ).
thf(f392,plain,
( ( $true
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
& ( sK7 @ sK10 ) ) )
| ~ spl4_10 ),
inference(imp_proxy_clausification,[],[f388]) ).
thf(f411,plain,
( ( $true
= ( sK7 @ sK10 ) )
| ~ spl4_10 ),
inference(and_proxy_clausification,[],[f392]) ).
thf(f412,plain,
( ( $true
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) ) )
| ~ spl4_10 ),
inference(and_proxy_clausification,[],[f392]) ).
thf(f416,plain,
( ( ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
& $true )
=> ( sK7 @ sK9 ) )
= $false )
| ~ spl4_10 ),
inference(superposition,[],[f388,f411]) ).
thf(f419,plain,
( ! [X0: a] :
( ( ( ( ( sK1 @ sK10 @ X0 )
| ( sK0 @ sK10 @ X0 ) )
& $true )
=> ( sK7 @ X0 ) )
= $true )
| ~ spl4_4
| ~ spl4_10 ),
inference(superposition,[],[f133,f411]) ).
thf(f427,plain,
( ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
=> ( sK7 @ sK9 ) )
= $false )
| ~ spl4_10 ),
inference(boolean_simplification,[],[f416]) ).
thf(f429,plain,
( ! [X0: a] :
( $true
= ( ( ( sK1 @ sK10 @ X0 )
| ( sK0 @ sK10 @ X0 ) )
=> ( sK7 @ X0 ) ) )
| ~ spl4_4
| ~ spl4_10 ),
inference(boolean_simplification,[],[f419]) ).
thf(f431,plain,
( ( $false
= ( $true
=> ( sK7 @ sK9 ) ) )
| ~ spl4_10 ),
inference(forward_demodulation,[],[f427,f412]) ).
thf(f576,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
| ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
| ~ spl4_10 ),
inference(or_proxy_clausification,[],[f412]) ).
thf(f578,definition,
( spl4_15
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
thf(f580,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f578]) ).
thf(f582,definition,
( spl4_16
<=> ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
thf(f584,plain,
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) ) ) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f582]) ).
thf(f585,plain,
( spl4_15
| spl4_16
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f576,f200,f582,f578]) ).
thf(f604,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) )
@ X1 ) )
| ~ spl4_16 ),
inference(pi_proxy_clausification,[],[f584]) ).
thf(f605,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( X1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( X1 @ Y1 ) ) ) ) )
=> ( X1 @ sK9 ) ) )
| ~ spl4_16 ),
inference(beta-eta_normalization,[],[f604]) ).
thf(f617,plain,
( ( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
=> $false ) )
| ~ spl4_10
| ~ spl4_16 ),
inference(superposition,[],[f605,f391]) ).
thf(f621,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) ) ) )
| ~ spl4_10
| ~ spl4_16 ),
inference(boolean_simplification,[],[f617]) ).
thf(f719,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) ) )
| ~ spl4_10
| ~ spl4_16 ),
inference(not_proxy_clausification,[],[f621]) ).
thf(f722,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| ~ spl4_10
| ~ spl4_16 ),
inference(and_proxy_clausification,[],[f719]) ).
thf(f724,definition,
( spl4_17
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
thf(f726,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f724]) ).
thf(f728,definition,
( spl4_18
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
thf(f729,plain,
( ( $false
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| spl4_18 ),
inference(avatar_component_clause,[],[f728]) ).
thf(f730,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f728]) ).
thf(f731,plain,
( spl4_17
| spl4_18
| ~ spl4_10
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f722,f582,f200,f728,f724]) ).
thf(f741,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) )
@ sK13 ) )
| ~ spl4_18 ),
inference(sigma_proxy_clausification,[],[f730]) ).
thf(f742,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK7 @ sK13 )
& ( sK0 @ sK13 @ Y0 ) )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_18 ),
inference(beta-eta_normalization,[],[f741]) ).
thf(f743,plain,
( ( ( ^ [Y0: a] :
( ( ( sK7 @ sK13 )
& ( sK0 @ sK13 @ Y0 ) )
=> ( sK7 @ Y0 ) )
@ sK14 )
= $false )
| ~ spl4_18 ),
inference(sigma_proxy_clausification,[],[f742]) ).
thf(f744,plain,
( ( $false
= ( ( ( sK7 @ sK13 )
& ( sK0 @ sK13 @ sK14 ) )
=> ( sK7 @ sK14 ) ) )
| ~ spl4_18 ),
inference(beta-eta_normalization,[],[f743]) ).
thf(f745,plain,
( ( $false
= ( sK7 @ sK14 ) )
| ~ spl4_18 ),
inference(imp_proxy_clausification,[],[f744]) ).
thf(f746,plain,
( ( $true
= ( ( sK7 @ sK13 )
& ( sK0 @ sK13 @ sK14 ) ) )
| ~ spl4_18 ),
inference(imp_proxy_clausification,[],[f744]) ).
thf(f774,plain,
( ( $true
= ( sK0 @ sK13 @ sK14 ) )
| ~ spl4_18 ),
inference(and_proxy_clausification,[],[f746]) ).
thf(f775,plain,
( ( $true
= ( sK7 @ sK13 ) )
| ~ spl4_18 ),
inference(and_proxy_clausification,[],[f746]) ).
thf(f823,plain,
( ( $true
= ( ( ( ( sK1 @ sK13 @ sK14 )
| $true )
& ( sK7 @ sK13 ) )
=> ( sK7 @ sK14 ) ) )
| ~ spl4_4
| ~ spl4_18 ),
inference(superposition,[],[f133,f774]) ).
thf(f824,plain,
( ( $true
= ( ( $true
& ( sK7 @ sK13 ) )
=> ( sK7 @ sK14 ) ) )
| ~ spl4_4
| ~ spl4_18 ),
inference(boolean_simplification,[],[f823]) ).
thf(f825,plain,
( ( $true
= ( ( sK7 @ sK13 )
=> ( sK7 @ sK14 ) ) )
| ~ spl4_4
| ~ spl4_18 ),
inference(boolean_simplification,[],[f824]) ).
thf(f828,plain,
( ( $true
= ( $true
=> ( sK7 @ sK14 ) ) )
| ~ spl4_4
| ~ spl4_18 ),
inference(forward_demodulation,[],[f825,f775]) ).
thf(f829,plain,
( ( $true
= ( sK7 @ sK14 ) )
| ~ spl4_4
| ~ spl4_18 ),
inference(boolean_simplification,[],[f828]) ).
thf(f832,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_18 ),
inference(forward_demodulation,[],[f829,f745]) ).
thf(f833,plain,
( $false
| ~ spl4_4
| ~ spl4_18 ),
inference(trivial_inequality_removal,[],[f832]) ).
thf(f834,plain,
( ~ spl4_4
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f833]) ).
thf(f835,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK0 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) )
@ sK17 ) )
| ~ spl4_17 ),
inference(sigma_proxy_clausification,[],[f726]) ).
thf(f836,plain,
( ( ( ( sK0 @ sK10 @ sK17 )
=> ( sK7 @ sK17 ) )
= $false )
| ~ spl4_17 ),
inference(beta-eta_normalization,[],[f835]) ).
thf(f837,plain,
( ( $false
= ( sK7 @ sK17 ) )
| ~ spl4_17 ),
inference(imp_proxy_clausification,[],[f836]) ).
thf(f838,plain,
( ( ( sK0 @ sK10 @ sK17 )
= $true )
| ~ spl4_17 ),
inference(imp_proxy_clausification,[],[f836]) ).
thf(f849,plain,
( ( $true
= ( ( ( sK1 @ sK10 @ sK17 )
| ( sK0 @ sK10 @ sK17 ) )
=> $false ) )
| ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(superposition,[],[f429,f837]) ).
thf(f859,plain,
( ( $true
= ( ~ ( ( sK1 @ sK10 @ sK17 )
| ( sK0 @ sK10 @ sK17 ) ) ) )
| ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(boolean_simplification,[],[f849]) ).
thf(f866,plain,
( ( $true
= ( ~ ( ( sK1 @ sK10 @ sK17 )
| $true ) ) )
| ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(forward_demodulation,[],[f859,f838]) ).
thf(f867,plain,
( ( $true = ( ~ $true ) )
| ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(boolean_simplification,[],[f866]) ).
thf(f868,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(boolean_simplification,[],[f867]) ).
thf(f869,plain,
( $false
| ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(trivial_inequality_removal,[],[f868]) ).
thf(f870,plain,
( ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f869]) ).
thf(f1140,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| ~ spl4_9
| ~ spl4_11 ),
inference(and_proxy_clausification,[],[f368]) ).
thf(f1141,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(forward_subsumption_resolution,[],[f1140,f729]) ).
thf(f1142,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) )
@ sK18 ) )
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(sigma_proxy_clausification,[],[f1141]) ).
thf(f1143,plain,
( ( $false
= ( ( sK0 @ sK2 @ sK18 )
=> ( sK7 @ sK18 ) ) )
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(beta-eta_normalization,[],[f1142]) ).
thf(f1144,plain,
( ( $false
= ( sK7 @ sK18 ) )
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(imp_proxy_clausification,[],[f1143]) ).
thf(f1145,plain,
( ( $true
= ( sK0 @ sK2 @ sK18 ) )
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(imp_proxy_clausification,[],[f1143]) ).
thf(f1147,plain,
( ( $true
= ( ( ( sK1 @ sK2 @ sK18 )
| ( sK0 @ sK2 @ sK18 ) )
=> $false ) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(superposition,[],[f125,f1144]) ).
thf(f1162,plain,
( ( $true
= ( ~ ( ( sK1 @ sK2 @ sK18 )
| ( sK0 @ sK2 @ sK18 ) ) ) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(boolean_simplification,[],[f1147]) ).
thf(f1177,plain,
( ( $true
= ( ~ ( ( sK1 @ sK2 @ sK18 )
| $true ) ) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(forward_demodulation,[],[f1162,f1145]) ).
thf(f1178,plain,
( ( $true = ( ~ $true ) )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(boolean_simplification,[],[f1177]) ).
thf(f1179,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(boolean_simplification,[],[f1178]) ).
thf(f1180,plain,
( $false
| ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(trivial_inequality_removal,[],[f1179]) ).
thf(f1181,plain,
( ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(avatar_contradiction_clause,[],[f1180]) ).
thf(f1182,plain,
( spl4_11
| spl4_12
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f258,f196,f264,f260]) ).
thf(f1211,plain,
( ! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK8 ) )
@ X1 )
= $true )
| ~ spl4_12 ),
inference(pi_proxy_clausification,[],[f266]) ).
thf(f1212,plain,
( ! [X1: a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( X1 @ Y0 ) )
=> ( X1 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
=> ( X1 @ sK8 ) ) )
| ~ spl4_12 ),
inference(beta-eta_normalization,[],[f1211]) ).
thf(f1231,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
=> $false )
= $true )
| ~ spl4_9
| ~ spl4_12 ),
inference(superposition,[],[f1212,f240]) ).
thf(f1238,plain,
( ( ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) ) )
= $true )
| ~ spl4_9
| ~ spl4_12 ),
inference(boolean_simplification,[],[f1231]) ).
thf(f1263,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) ) )
| ~ spl4_9
| ~ spl4_12 ),
inference(not_proxy_clausification,[],[f1238]) ).
thf(f1274,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_9
| ~ spl4_12 ),
inference(and_proxy_clausification,[],[f1263]) ).
thf(f1276,definition,
( spl4_19
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
thf(f1278,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f1276]) ).
thf(f1280,definition,
( spl4_20
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
thf(f1281,plain,
( ( $false
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| spl4_20 ),
inference(avatar_component_clause,[],[f1280]) ).
thf(f1282,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f1280]) ).
thf(f1283,plain,
( spl4_19
| spl4_20
| ~ spl4_9
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f1274,f264,f196,f1280,f1276]) ).
thf(f1295,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK7 @ Y0 ) )
@ sK20 ) )
| ~ spl4_19 ),
inference(sigma_proxy_clausification,[],[f1278]) ).
thf(f1296,plain,
( ( $false
= ( ( sK1 @ sK2 @ sK20 )
=> ( sK7 @ sK20 ) ) )
| ~ spl4_19 ),
inference(beta-eta_normalization,[],[f1295]) ).
thf(f1297,plain,
( ( $false
= ( sK7 @ sK20 ) )
| ~ spl4_19 ),
inference(imp_proxy_clausification,[],[f1296]) ).
thf(f1298,plain,
( ( $true
= ( sK1 @ sK2 @ sK20 ) )
| ~ spl4_19 ),
inference(imp_proxy_clausification,[],[f1296]) ).
thf(f1307,plain,
( ( ( ( ( sK1 @ sK2 @ sK20 )
| ( sK0 @ sK2 @ sK20 ) )
=> $false )
= $true )
| ~ spl4_4
| ~ spl4_19 ),
inference(superposition,[],[f125,f1297]) ).
thf(f1332,plain,
( ( $true
= ( ~ ( ( sK1 @ sK2 @ sK20 )
| ( sK0 @ sK2 @ sK20 ) ) ) )
| ~ spl4_4
| ~ spl4_19 ),
inference(boolean_simplification,[],[f1307]) ).
thf(f1353,plain,
( ( $true
= ( ~ ( $true
| ( sK0 @ sK2 @ sK20 ) ) ) )
| ~ spl4_4
| ~ spl4_19 ),
inference(forward_demodulation,[],[f1332,f1298]) ).
thf(f1354,plain,
( ( $true = ( ~ $true ) )
| ~ spl4_4
| ~ spl4_19 ),
inference(boolean_simplification,[],[f1353]) ).
thf(f1355,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_19 ),
inference(boolean_simplification,[],[f1354]) ).
thf(f1356,plain,
( $false
| ~ spl4_4
| ~ spl4_19 ),
inference(trivial_inequality_removal,[],[f1355]) ).
thf(f1357,plain,
( ~ spl4_4
| ~ spl4_19 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
thf(f1375,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) )
@ sK21 ) )
| ~ spl4_20 ),
inference(sigma_proxy_clausification,[],[f1282]) ).
thf(f1376,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ sK21 @ Y0 )
& ( sK7 @ sK21 ) )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_20 ),
inference(beta-eta_normalization,[],[f1375]) ).
thf(f1379,plain,
( ( ( ^ [Y0: a] :
( ( ( sK1 @ sK21 @ Y0 )
& ( sK7 @ sK21 ) )
=> ( sK7 @ Y0 ) )
@ sK22 )
= $false )
| ~ spl4_20 ),
inference(sigma_proxy_clausification,[],[f1376]) ).
thf(f1380,plain,
( ( $false
= ( ( ( sK1 @ sK21 @ sK22 )
& ( sK7 @ sK21 ) )
=> ( sK7 @ sK22 ) ) )
| ~ spl4_20 ),
inference(beta-eta_normalization,[],[f1379]) ).
thf(f1390,plain,
( ( $false
= ( sK7 @ sK22 ) )
| ~ spl4_20 ),
inference(imp_proxy_clausification,[],[f1380]) ).
thf(f1391,plain,
( ( ( ( sK1 @ sK21 @ sK22 )
& ( sK7 @ sK21 ) )
= $true )
| ~ spl4_20 ),
inference(imp_proxy_clausification,[],[f1380]) ).
thf(f1451,plain,
( ( ( sK7 @ sK21 )
= $true )
| ~ spl4_20 ),
inference(and_proxy_clausification,[],[f1391]) ).
thf(f1452,plain,
( ( $true
= ( sK1 @ sK21 @ sK22 ) )
| ~ spl4_20 ),
inference(and_proxy_clausification,[],[f1391]) ).
thf(f1531,plain,
( ( $true
= ( ( ( $true
| ( sK0 @ sK21 @ sK22 ) )
& ( sK7 @ sK21 ) )
=> ( sK7 @ sK22 ) ) )
| ~ spl4_4
| ~ spl4_20 ),
inference(superposition,[],[f133,f1452]) ).
thf(f1532,plain,
( ( $true
= ( ( $true
& ( sK7 @ sK21 ) )
=> ( sK7 @ sK22 ) ) )
| ~ spl4_4
| ~ spl4_20 ),
inference(boolean_simplification,[],[f1531]) ).
thf(f1533,plain,
( ( $true
= ( ( sK7 @ sK21 )
=> ( sK7 @ sK22 ) ) )
| ~ spl4_4
| ~ spl4_20 ),
inference(boolean_simplification,[],[f1532]) ).
thf(f1536,plain,
( ( $true
= ( $true
=> ( sK7 @ sK22 ) ) )
| ~ spl4_4
| ~ spl4_20 ),
inference(forward_demodulation,[],[f1533,f1451]) ).
thf(f1537,plain,
( ( $true
= ( sK7 @ sK22 ) )
| ~ spl4_4
| ~ spl4_20 ),
inference(boolean_simplification,[],[f1536]) ).
thf(f1540,plain,
( ( $true = $false )
| ~ spl4_4
| ~ spl4_20 ),
inference(forward_demodulation,[],[f1537,f1390]) ).
thf(f1541,plain,
( $false
| ~ spl4_4
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f1540]) ).
thf(f1542,plain,
( ~ spl4_4
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
thf(f1581,plain,
( ( $true = $false )
| ~ spl4_2
| ~ spl4_4 ),
inference(forward_demodulation,[],[f29,f38]) ).
thf(f1582,plain,
( $false
| ~ spl4_2
| ~ spl4_4 ),
inference(trivial_inequality_removal,[],[f1581]) ).
thf(f1583,plain,
( ~ spl4_2
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f1582]) ).
thf(f1617,plain,
( ( $false
= ( sK7 @ sK9 ) )
| ~ spl4_10 ),
inference(boolean_simplification,[],[f431]) ).
thf(f2156,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK7 @ Y0 ) )
=> ( sK7 @ Y1 ) ) )
@ X1 ) )
| spl4_20 ),
inference(pi_proxy_clausification,[],[f1281]) ).
thf(f2157,plain,
( ! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK1 @ X1 @ Y0 )
& ( sK7 @ X1 ) )
=> ( sK7 @ Y0 ) ) )
= $true )
| spl4_20 ),
inference(beta-eta_normalization,[],[f2156]) ).
thf(f2159,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK1 @ X1 @ Y0 )
& ( sK7 @ X1 ) )
=> ( sK7 @ Y0 ) )
@ X2 ) )
| spl4_20 ),
inference(pi_proxy_clausification,[],[f2157]) ).
thf(f2160,plain,
( ! [X2: a,X1: a] :
( $true
= ( ( ( sK1 @ X1 @ X2 )
& ( sK7 @ X1 ) )
=> ( sK7 @ X2 ) ) )
| spl4_20 ),
inference(beta-eta_normalization,[],[f2159]) ).
thf(f2182,plain,
( ! [X0: a] :
( $true
= ( ( ( sK1 @ sK10 @ X0 )
& $true )
=> ( sK7 @ X0 ) ) )
| ~ spl4_10
| spl4_20 ),
inference(superposition,[],[f2160,f411]) ).
thf(f2192,plain,
( ! [X0: a] :
( ( ( sK1 @ sK10 @ X0 )
=> ( sK7 @ X0 ) )
= $true )
| ~ spl4_10
| spl4_20 ),
inference(boolean_simplification,[],[f2182]) ).
thf(f2242,plain,
( ! [X1: a > $o] :
( $true
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK10 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK9 ) )
@ X1 ) )
| ~ spl4_15 ),
inference(pi_proxy_clausification,[],[f580]) ).
thf(f2243,plain,
( ! [X1: a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( X1 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( X1 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( X1 @ Y1 ) ) ) ) )
=> ( X1 @ sK9 ) )
= $true )
| ~ spl4_15 ),
inference(beta-eta_normalization,[],[f2242]) ).
thf(f2258,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
=> $false )
= $true )
| ~ spl4_10
| ~ spl4_15 ),
inference(superposition,[],[f2243,f1617]) ).
thf(f2263,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) ) ) )
| ~ spl4_10
| ~ spl4_15 ),
inference(boolean_simplification,[],[f2258]) ).
thf(f2928,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) ) )
| ~ spl4_10
| ~ spl4_15 ),
inference(not_proxy_clausification,[],[f2263]) ).
thf(f2930,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_10
| ~ spl4_15 ),
inference(and_proxy_clausification,[],[f2928]) ).
thf(f2932,definition,
( spl4_27
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
thf(f2934,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) ) ) )
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f2932]) ).
thf(f2936,definition,
( spl4_28
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).
thf(f2938,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f2936]) ).
thf(f2939,plain,
( spl4_27
| spl4_28
| ~ spl4_10
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f2930,f578,f200,f2936,f2932]) ).
thf(f2953,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK7 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK7 @ Y1 ) ) )
@ sK29 )
= $false )
| ~ spl4_27 ),
inference(sigma_proxy_clausification,[],[f2934]) ).
thf(f2954,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK7 @ sK29 )
& ( sK1 @ sK29 @ Y0 ) )
=> ( sK7 @ Y0 ) ) ) )
| ~ spl4_27 ),
inference(beta-eta_normalization,[],[f2953]) ).
thf(f2968,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK7 @ sK29 )
& ( sK1 @ sK29 @ Y0 ) )
=> ( sK7 @ Y0 ) )
@ sK30 ) )
| ~ spl4_27 ),
inference(sigma_proxy_clausification,[],[f2954]) ).
thf(f2969,plain,
( ( $false
= ( ( ( sK7 @ sK29 )
& ( sK1 @ sK29 @ sK30 ) )
=> ( sK7 @ sK30 ) ) )
| ~ spl4_27 ),
inference(beta-eta_normalization,[],[f2968]) ).
thf(f2984,plain,
( ( $true
= ( ( sK7 @ sK29 )
& ( sK1 @ sK29 @ sK30 ) ) )
| ~ spl4_27 ),
inference(imp_proxy_clausification,[],[f2969]) ).
thf(f3723,plain,
( ( $true
= ( sK7 @ sK29 ) )
| ~ spl4_27 ),
inference(and_proxy_clausification,[],[f2984]) ).
thf(f3727,plain,
( ( ( ( $true
& ( sK1 @ sK29 @ sK30 ) )
=> ( sK7 @ sK30 ) )
= $false )
| ~ spl4_27 ),
inference(superposition,[],[f2969,f3723]) ).
thf(f3744,plain,
( ! [X0: a] :
( ( ( ( sK1 @ sK29 @ X0 )
& $true )
=> ( sK7 @ X0 ) )
= $true )
| spl4_20
| ~ spl4_27 ),
inference(superposition,[],[f2160,f3723]) ).
thf(f3754,plain,
( ! [X0: a] :
( $true
= ( ( sK1 @ sK29 @ X0 )
=> ( sK7 @ X0 ) ) )
| spl4_20
| ~ spl4_27 ),
inference(boolean_simplification,[],[f3744]) ).
thf(f3772,plain,
( ( $false
= ( ( sK1 @ sK29 @ sK30 )
=> ( sK7 @ sK30 ) ) )
| ~ spl4_27 ),
inference(boolean_simplification,[],[f3727]) ).
thf(f3788,plain,
( ( $true = $false )
| spl4_20
| ~ spl4_27 ),
inference(forward_demodulation,[],[f3772,f3754]) ).
thf(f3789,plain,
( $false
| spl4_20
| ~ spl4_27 ),
inference(trivial_inequality_removal,[],[f3788]) ).
thf(f3790,plain,
( spl4_20
| ~ spl4_27 ),
inference(avatar_contradiction_clause,[],[f3789]) ).
thf(f3793,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK1 @ sK10 @ Y0 )
=> ( sK7 @ Y0 ) )
@ sK39 ) )
| ~ spl4_28 ),
inference(sigma_proxy_clausification,[],[f2938]) ).
thf(f3794,plain,
( ( ( ( sK1 @ sK10 @ sK39 )
=> ( sK7 @ sK39 ) )
= $false )
| ~ spl4_28 ),
inference(beta-eta_normalization,[],[f3793]) ).
thf(f3795,plain,
( ( $true = $false )
| ~ spl4_10
| spl4_20
| ~ spl4_28 ),
inference(forward_demodulation,[],[f3794,f2192]) ).
thf(f3796,plain,
( $false
| ~ spl4_10
| spl4_20
| ~ spl4_28 ),
inference(trivial_inequality_removal,[],[f3795]) ).
thf(f3797,plain,
( ~ spl4_10
| spl4_20
| ~ spl4_28 ),
inference(avatar_contradiction_clause,[],[f3796]) ).
thf(f3814,plain,
( spl4_5
| spl4_6
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f56,f32,f27,f62,f58]) ).
thf(f3912,plain,
( ( $true
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) ) )
=> $false ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(superposition,[],[f92,f82]) ).
thf(f3914,plain,
( ( $true
= ( ~ ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) ) ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(boolean_simplification,[],[f3912]) ).
thf(f3973,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK0 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y1 @ Y3 )
=> ( Y2 @ Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y2 @ Y3 )
& ( sK1 @ Y3 @ Y4 ) )
=> ( Y2 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 ) ) ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) )
@ X1 ) )
| ~ spl4_3 ),
inference(pi_proxy_clausification,[],[f55]) ).
thf(f3974,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ X1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ X1 ) ) ) )
& ( sK5 @ Y0 ) )
=> ( sK5 @ X1 ) ) ) )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f3973]) ).
thf(f3986,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK0 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ X1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y1 @ Y2 )
& ( sK1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y3 ) ) ) ) )
=> ( Y1 @ X1 ) ) ) )
& ( sK5 @ Y0 ) )
=> ( sK5 @ X1 ) )
@ X2 ) )
| ~ spl4_3 ),
inference(pi_proxy_clausification,[],[f3974]) ).
thf(f3987,plain,
( ! [X2: a,X1: a] :
( ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ X1 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ X2 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ X1 ) ) ) )
& ( sK5 @ X2 ) )
=> ( sK5 @ X1 ) )
= $true )
| ~ spl4_3 ),
inference(beta-eta_normalization,[],[f3986]) ).
thf(f4188,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(not_proxy_clausification,[],[f3914]) ).
thf(f4200,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) )
= $false )
| ~ spl4_3
| ~ spl4_5 ),
inference(or_proxy_clausification,[],[f4188]) ).
thf(f4201,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) ) )
= $false )
| ~ spl4_3
| ~ spl4_5 ),
inference(or_proxy_clausification,[],[f4188]) ).
thf(f4265,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) )
@ sK40 ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(sigma_proxy_clausification,[],[f4200]) ).
thf(f4266,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK40 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK40 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK40 @ Y0 ) ) ) )
=> ( sK40 @ sK6 ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f4265]) ).
thf(f4282,plain,
( ( $false
= ( sK40 @ sK6 ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(imp_proxy_clausification,[],[f4266]) ).
thf(f4283,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK40 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK40 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK40 @ Y0 ) ) ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(imp_proxy_clausification,[],[f4266]) ).
thf(f4288,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK1 @ Y1 @ Y2 )
& ( Y0 @ Y1 ) )
=> ( Y0 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK2 @ Y1 )
=> ( Y0 @ Y1 ) ) ) )
=> ( Y0 @ sK6 ) )
@ sK41 ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(sigma_proxy_clausification,[],[f4201]) ).
thf(f4289,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK41 @ Y0 ) )
=> ( sK41 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK41 @ Y0 ) ) ) )
=> ( sK41 @ sK6 ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f4288]) ).
thf(f4294,plain,
( ( $false
= ( sK41 @ sK6 ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(imp_proxy_clausification,[],[f4289]) ).
thf(f4295,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK1 @ Y0 @ Y1 )
& ( sK41 @ Y0 ) )
=> ( sK41 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK41 @ Y0 ) ) ) )
= $true )
| ~ spl4_3
| ~ spl4_5 ),
inference(imp_proxy_clausification,[],[f4289]) ).
thf(f4903,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK40 @ Y0 ) ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(and_proxy_clausification,[],[f4283]) ).
thf(f4906,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK41 @ Y0 ) ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(and_proxy_clausification,[],[f4295]) ).
thf(f5555,plain,
( ! [X1: a] :
( ( ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( sK40 @ Y0 ) )
@ X1 )
= $true )
| ~ spl4_3
| ~ spl4_5 ),
inference(pi_proxy_clausification,[],[f4903]) ).
thf(f5556,plain,
( ! [X1: a] :
( $true
= ( ( sK0 @ sK2 @ X1 )
=> ( sK40 @ X1 ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f5555]) ).
thf(f5598,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK1 @ sK2 @ Y0 )
=> ( sK41 @ Y0 ) )
@ X1 ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(pi_proxy_clausification,[],[f4906]) ).
thf(f5599,plain,
( ! [X1: a] :
( ( ( sK1 @ sK2 @ X1 )
=> ( sK41 @ X1 ) )
= $true )
| ~ spl4_3
| ~ spl4_5 ),
inference(beta-eta_normalization,[],[f5598]) ).
thf(f5603,plain,
( ( $true
= ( ( sK1 @ sK2 @ sK6 )
=> $false ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(superposition,[],[f5599,f4294]) ).
thf(f5619,plain,
( ( $true
= ( ~ ( sK1 @ sK2 @ sK6 ) ) )
| ~ spl4_3
| ~ spl4_5 ),
inference(boolean_simplification,[],[f5603]) ).
thf(f5626,plain,
( ( $true = ( ~ $true ) )
| ~ spl4_3
| ~ spl4_5
| ~ spl4_8 ),
inference(forward_demodulation,[],[f5619,f103]) ).
thf(f5627,plain,
( ( $true = $false )
| ~ spl4_3
| ~ spl4_5
| ~ spl4_8 ),
inference(boolean_simplification,[],[f5626]) ).
thf(f5628,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_8 ),
inference(trivial_inequality_removal,[],[f5627]) ).
thf(f5629,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f5628]) ).
thf(f5630,plain,
( spl4_8
| spl4_7
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f93,f58,f97,f101]) ).
thf(f5643,plain,
( ( $true
= ( $true
=> ( sK40 @ sK6 ) ) )
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(superposition,[],[f5556,f99]) ).
thf(f5651,plain,
( ( $true
= ( sK40 @ sK6 ) )
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(boolean_simplification,[],[f5643]) ).
thf(f5665,plain,
( ( $true = $false )
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(forward_demodulation,[],[f5651,f4282]) ).
thf(f5666,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(trivial_inequality_removal,[],[f5665]) ).
thf(f5667,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(avatar_contradiction_clause,[],[f5666]) ).
thf(f5761,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ( sK1 @ Y1 @ Y0 )
| ( sK0 @ Y1 @ Y0 ) )
& ( sK5 @ Y1 ) )
=> ( sK5 @ Y0 ) ) )
@ sK46 ) )
| ~ spl4_6 ),
inference(sigma_proxy_clausification,[],[f64]) ).
thf(f5762,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( ( sK1 @ Y0 @ sK46 )
| ( sK0 @ Y0 @ sK46 ) )
& ( sK5 @ Y0 ) )
=> ( sK5 @ sK46 ) ) ) )
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f5761]) ).
thf(f5777,plain,
( ( ( ^ [Y0: a] :
( ( ( ( sK1 @ Y0 @ sK46 )
| ( sK0 @ Y0 @ sK46 ) )
& ( sK5 @ Y0 ) )
=> ( sK5 @ sK46 ) )
@ sK47 )
= $false )
| ~ spl4_6 ),
inference(sigma_proxy_clausification,[],[f5762]) ).
thf(f5778,plain,
( ( ( ( ( ( sK1 @ sK47 @ sK46 )
| ( sK0 @ sK47 @ sK46 ) )
& ( sK5 @ sK47 ) )
=> ( sK5 @ sK46 ) )
= $false )
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f5777]) ).
thf(f5804,plain,
( ( ( sK5 @ sK46 )
= $false )
| ~ spl4_6 ),
inference(imp_proxy_clausification,[],[f5778]) ).
thf(f5805,plain,
( ( $true
= ( ( ( sK1 @ sK47 @ sK46 )
| ( sK0 @ sK47 @ sK46 ) )
& ( sK5 @ sK47 ) ) )
| ~ spl4_6 ),
inference(imp_proxy_clausification,[],[f5778]) ).
thf(f5810,plain,
( ! [X0: a] :
( $true
= ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ X0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ X0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) ) )
& ( sK5 @ X0 ) )
=> $false ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(superposition,[],[f3987,f5804]) ).
thf(f5821,plain,
( ! [X0: a] :
( $true
= ( ~ ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ X0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ X0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) ) )
& ( sK5 @ X0 ) ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(boolean_simplification,[],[f5810]) ).
thf(f5824,plain,
( ( $true
= ( sK5 @ sK47 ) )
| ~ spl4_6 ),
inference(and_proxy_clausification,[],[f5805]) ).
thf(f5825,plain,
( ( $true
= ( ( sK1 @ sK47 @ sK46 )
| ( sK0 @ sK47 @ sK46 ) ) )
| ~ spl4_6 ),
inference(and_proxy_clausification,[],[f5805]) ).
thf(f5846,plain,
( ( $true
= ( sK0 @ sK47 @ sK46 ) )
| ( ( sK1 @ sK47 @ sK46 )
= $true )
| ~ spl4_6 ),
inference(or_proxy_clausification,[],[f5825]) ).
thf(f5852,definition,
( spl4_65
<=> ( $true
= ( sK0 @ sK47 @ sK46 ) ) ),
introduced(definition,[new_symbols(definition,[spl4_65])],[avatar_definition]) ).
thf(f5854,plain,
( ( $true
= ( sK0 @ sK47 @ sK46 ) )
| ~ spl4_65 ),
inference(avatar_component_clause,[],[f5852]) ).
thf(f5856,definition,
( spl4_66
<=> ( ( sK1 @ sK47 @ sK46 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl4_66])],[avatar_definition]) ).
thf(f5858,plain,
( ( ( sK1 @ sK47 @ sK46 )
= $true )
| ~ spl4_66 ),
inference(avatar_component_clause,[],[f5856]) ).
thf(f5859,plain,
( spl4_65
| spl4_66
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f5846,f62,f5856,f5852]) ).
thf(f5994,plain,
( ! [X0: a] :
( $false
= ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ X0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ X0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) ) )
& ( sK5 @ X0 ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(not_proxy_clausification,[],[f5821]) ).
thf(f6016,plain,
( ( ( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) ) )
& $true )
= $false )
| ~ spl4_3
| ~ spl4_6 ),
inference(superposition,[],[f5994,f5824]) ).
thf(f6022,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) )
| ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(boolean_simplification,[],[f6016]) ).
thf(f6156,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(or_proxy_clausification,[],[f6022]) ).
thf(f6157,plain,
( ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) ) )
= $false )
| ~ spl4_3
| ~ spl4_6 ),
inference(or_proxy_clausification,[],[f6022]) ).
thf(f6381,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK1 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) )
@ sK52 ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(sigma_proxy_clausification,[],[f6156]) ).
thf(f6382,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK47 @ Y0 )
=> ( sK52 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK52 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK52 @ Y1 ) ) ) ) )
=> ( sK52 @ sK46 ) )
= $false )
| ~ spl4_3
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f6381]) ).
thf(f6386,plain,
( ( ( sK52 @ sK46 )
= $false )
| ~ spl4_3
| ~ spl4_6 ),
inference(imp_proxy_clausification,[],[f6382]) ).
thf(f6387,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK47 @ Y0 )
=> ( sK52 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK52 @ Y0 )
& ( sK1 @ Y0 @ Y1 ) )
=> ( sK52 @ Y1 ) ) ) ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(imp_proxy_clausification,[],[f6382]) ).
thf(f6392,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK47 @ Y1 )
=> ( Y0 @ Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( Y0 @ Y1 )
& ( sK0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y2 ) ) ) ) )
=> ( Y0 @ sK46 ) )
@ sK53 ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(sigma_proxy_clausification,[],[f6157]) ).
thf(f6393,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK47 @ Y0 )
=> ( sK53 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK53 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK53 @ Y1 ) ) ) ) )
=> ( sK53 @ sK46 ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f6392]) ).
thf(f6397,plain,
( ( $false
= ( sK53 @ sK46 ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(imp_proxy_clausification,[],[f6393]) ).
thf(f6398,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK47 @ Y0 )
=> ( sK53 @ Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK53 @ Y0 )
& ( sK0 @ Y0 @ Y1 ) )
=> ( sK53 @ Y1 ) ) ) ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(imp_proxy_clausification,[],[f6393]) ).
thf(f7866,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK47 @ Y0 )
=> ( sK52 @ Y0 ) ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(and_proxy_clausification,[],[f6387]) ).
thf(f7869,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK47 @ Y0 )
=> ( sK53 @ Y0 ) ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(and_proxy_clausification,[],[f6398]) ).
thf(f10346,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK1 @ sK47 @ Y0 )
=> ( sK52 @ Y0 ) )
@ X1 ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(pi_proxy_clausification,[],[f7866]) ).
thf(f10347,plain,
( ! [X1: a] :
( $true
= ( ( sK1 @ sK47 @ X1 )
=> ( sK52 @ X1 ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f10346]) ).
thf(f10377,plain,
( ( $true
= ( $true
=> ( sK52 @ sK46 ) ) )
| ~ spl4_3
| ~ spl4_6
| ~ spl4_66 ),
inference(superposition,[],[f10347,f5858]) ).
thf(f10379,plain,
( ( $true
= ( sK52 @ sK46 ) )
| ~ spl4_3
| ~ spl4_6
| ~ spl4_66 ),
inference(boolean_simplification,[],[f10377]) ).
thf(f10384,plain,
( ( $true = $false )
| ~ spl4_3
| ~ spl4_6
| ~ spl4_66 ),
inference(forward_demodulation,[],[f10379,f6386]) ).
thf(f10385,plain,
( $false
| ~ spl4_3
| ~ spl4_6
| ~ spl4_66 ),
inference(trivial_inequality_removal,[],[f10384]) ).
thf(f10386,plain,
( ~ spl4_3
| ~ spl4_6
| ~ spl4_66 ),
inference(avatar_contradiction_clause,[],[f10385]) ).
thf(f10738,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK0 @ sK47 @ Y0 )
=> ( sK53 @ Y0 ) )
@ X1 ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(pi_proxy_clausification,[],[f7869]) ).
thf(f10739,plain,
( ! [X1: a] :
( $true
= ( ( sK0 @ sK47 @ X1 )
=> ( sK53 @ X1 ) ) )
| ~ spl4_3
| ~ spl4_6 ),
inference(beta-eta_normalization,[],[f10738]) ).
thf(f10768,plain,
( ( $true
= ( $true
=> ( sK53 @ sK46 ) ) )
| ~ spl4_3
| ~ spl4_6
| ~ spl4_65 ),
inference(superposition,[],[f10739,f5854]) ).
thf(f10770,plain,
( ( $true
= ( sK53 @ sK46 ) )
| ~ spl4_3
| ~ spl4_6
| ~ spl4_65 ),
inference(boolean_simplification,[],[f10768]) ).
thf(f10775,plain,
( ( $true = $false )
| ~ spl4_3
| ~ spl4_6
| ~ spl4_65 ),
inference(forward_demodulation,[],[f10770,f6397]) ).
thf(f10776,plain,
( $false
| ~ spl4_3
| ~ spl4_6
| ~ spl4_65 ),
inference(trivial_inequality_removal,[],[f10775]) ).
thf(f10777,plain,
( ~ spl4_3
| ~ spl4_6
| ~ spl4_65 ),
inference(avatar_contradiction_clause,[],[f10776]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f39]) ).
cnf(s4,plain,
( ~ spl4_1
| ~ spl4_3 ),
inference(sat_conversion,[],[f68]) ).
cnf(s7,plain,
( ~ spl4_1
| ~ spl4_4
| spl4_9
| spl4_10 ),
inference(sat_conversion,[],[f203]) ).
cnf(s10,plain,
( ~ spl4_10
| spl4_15
| spl4_16 ),
inference(sat_conversion,[],[f585]) ).
cnf(s11,plain,
( ~ spl4_10
| ~ spl4_16
| spl4_17
| spl4_18 ),
inference(sat_conversion,[],[f731]) ).
cnf(s12,plain,
( ~ spl4_4
| ~ spl4_18 ),
inference(sat_conversion,[],[f834]) ).
cnf(s13,plain,
( ~ spl4_4
| ~ spl4_10
| ~ spl4_17 ),
inference(sat_conversion,[],[f870]) ).
cnf(s15,plain,
( ~ spl4_4
| ~ spl4_9
| ~ spl4_11
| spl4_18 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s16,plain,
( ~ spl4_9
| spl4_11
| spl4_12 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s17,plain,
( ~ spl4_9
| ~ spl4_12
| spl4_19
| spl4_20 ),
inference(sat_conversion,[],[f1283]) ).
cnf(s18,plain,
( ~ spl4_4
| ~ spl4_19 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s19,plain,
( ~ spl4_4
| ~ spl4_20 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s20,plain,
( ~ spl4_2
| ~ spl4_4 ),
inference(sat_conversion,[],[f1583]) ).
cnf(s24,plain,
( ~ spl4_10
| ~ spl4_15
| spl4_27
| spl4_28 ),
inference(sat_conversion,[],[f2939]) ).
cnf(s31,plain,
( spl4_20
| ~ spl4_27 ),
inference(sat_conversion,[],[f3790]) ).
cnf(s32,plain,
( ~ spl4_10
| spl4_20
| ~ spl4_28 ),
inference(sat_conversion,[],[f3797]) ).
cnf(s33,plain,
( ~ spl4_2
| ~ spl4_3
| spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f3814]) ).
cnf(s49,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_8 ),
inference(sat_conversion,[],[f5629]) ).
cnf(s50,plain,
( ~ spl4_5
| spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f5630]) ).
cnf(s51,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f5667]) ).
cnf(s52,plain,
( ~ spl4_6
| spl4_65
| spl4_66 ),
inference(sat_conversion,[],[f5859]) ).
cnf(s77,plain,
( ~ spl4_3
| ~ spl4_6
| ~ spl4_66 ),
inference(sat_conversion,[],[f10386]) ).
cnf(s82,plain,
( ~ spl4_3
| ~ spl4_6
| ~ spl4_65 ),
inference(sat_conversion,[],[f10777]) ).
cnf(s83,plain,
( ~ spl4_6
| ~ spl4_3 ),
inference(rat,[],[s52,s77,s82]) ).
cnf(s84,plain,
( ~ spl4_5
| ~ spl4_3 ),
inference(rat,[],[s50,s49,s51]) ).
cnf(s85,plain,
( spl4_6
| ~ spl4_3
| ~ spl4_2 ),
inference(rat,[],[s84,s33]) ).
cnf(s86,plain,
~ spl4_2,
inference(rat,[],[s85,s83,s2,s20]) ).
cnf(s87,plain,
spl4_1,
inference(rat,[],[s1,s86]) ).
cnf(s88,plain,
~ spl4_3,
inference(rat,[],[s4,s87]) ).
cnf(s89,plain,
spl4_4,
inference(rat,[],[s2,s88]) ).
cnf(s90,plain,
~ spl4_20,
inference(rat,[],[s19,s89]) ).
cnf(s91,plain,
~ spl4_19,
inference(rat,[],[s18,s89]) ).
cnf(s92,plain,
~ spl4_18,
inference(rat,[],[s12,s89]) ).
cnf(s93,plain,
~ spl4_27,
inference(rat,[],[s31,s90]) ).
cnf(s94,plain,
( ~ spl4_10
| spl4_28 ),
inference(rat,[],[s10,s11,s13,s24,s93,s89,s92]) ).
cnf(s95,plain,
~ spl4_10,
inference(rat,[],[s94,s32,s90]) ).
cnf(s96,plain,
spl4_9,
inference(rat,[],[s7,s89,s87,s95]) ).
cnf(s97,plain,
~ spl4_12,
inference(rat,[],[s17,s90,s91,s96]) ).
cnf(s98,plain,
spl4_11,
inference(rat,[],[s16,s97,s96]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s15,s92,s89,s98,s96]) ).
thf(f10778,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV150^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n011.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Sep 29 15:16:31 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running higher-order theorem proving
% 0.23/0.31 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
% 1.23/0.49 % (208539)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.23/0.49 % (208549)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4047264405:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.23/0.49 % (208547)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=1658022484: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)
% 1.23/0.49 % (208550)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.23/0.49 % (208550)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
% 1.23/0.49 % (208545)lrs+10_16_si=on:nwc=1.5:random_seed=1853022257:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.23/0.49 % (208548)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=809673213:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.23/0.49 % (208546)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2739189598:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.23/0.49 % (208544)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1683091040:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.23/0.49 % (208550)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=2798923048:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.23/0.49 % (208546)Instruction limit reached!
% 1.23/0.49 % (208546)------------------------------
% 1.23/0.49 % (208546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (208546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (208546)CaDiCaL version: 2.1.3
% 1.23/0.49 % (208546)Termination reason: Instruction limit
% 1.23/0.49 % (208546)Termination phase: Preprocessing 3
% 1.23/0.49 % (208546)Time elapsed: 0.003 s
% 1.23/0.49 % (208546)Peak memory usage: 10 MB
% 1.23/0.49 % (208546)Instructions burned: 3 (million)
% 1.23/0.49 % (208545)Instruction limit reached!
% 1.23/0.49 % (208545)------------------------------
% 1.23/0.49 % (208545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (208545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (208545)CaDiCaL version: 2.1.3
% 1.23/0.49 % (208545)Termination reason: Instruction limit
% 1.23/0.49 % (208545)Termination phase: Saturation
% 1.23/0.49 % (208545)Time elapsed: 0.017 s
% 1.23/0.49 % (208545)Peak memory usage: 12 MB
% 1.23/0.49 % (208545)Instructions burned: 19 (million)
% 1.23/0.49 % (208549)Instruction limit reached!
% 1.23/0.49 % (208549)------------------------------
% 1.23/0.49 % (208549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (208549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (208549)CaDiCaL version: 2.1.3
% 1.23/0.49 % (208549)Termination reason: Instruction limit
% 1.23/0.49 % (208549)Termination phase: Saturation
% 1.23/0.49 % (208549)Time elapsed: 0.031 s
% 1.23/0.49 % (208549)Peak memory usage: 12 MB
% 1.23/0.49 % (208549)Instructions burned: 75 (million)
% 1.23/0.49 % (208548)Instruction limit reached!
% 1.23/0.49 % (208548)------------------------------
% 1.23/0.49 % (208548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (208548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (208548)CaDiCaL version: 2.1.3
% 1.23/0.49 % (208548)Termination reason: Instruction limit
% 1.23/0.49 % (208548)Termination phase: Saturation
% 1.23/0.49 % (208548)Time elapsed: 0.021 s
% 1.23/0.49 % (208548)Peak memory usage: 12 MB
% 1.23/0.49 % (208548)Instructions burned: 25 (million)
% 1.23/0.49 % (208560)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.23/0.49 % (208558)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1422433747:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.23/0.49 % (208560)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3051399866:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.23/0.55 % (208558)Instruction limit reached!
% 1.23/0.55 % (208558)------------------------------
% 1.23/0.55 % (208558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (208558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (208558)CaDiCaL version: 2.1.3
% 1.23/0.55 % (208558)Termination reason: Instruction limit
% 1.23/0.55 % (208558)Termination phase: Preprocessing 3
% 1.23/0.55 % (208558)Time elapsed: 0.003 s
% 1.23/0.55 % (208558)Peak memory usage: 10 MB
% 1.23/0.55 % (208558)Instructions burned: 3 (million)
% 1.23/0.55 % (208560)Instruction limit reached!
% 1.23/0.55 % (208560)------------------------------
% 1.23/0.55 % (208560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (208560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (208560)CaDiCaL version: 2.1.3
% 1.23/0.55 % (208560)Termination reason: Instruction limit
% 1.23/0.55 % (208560)Termination phase: Saturation
% 1.23/0.55 % (208560)Time elapsed: 0.004 s
% 1.23/0.55 % (208560)Peak memory usage: 12 MB
% 1.23/0.55 % (208560)Instructions burned: 8 (million)
% 1.23/0.55 % (208561)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1110197395:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.23/0.55 % (208559)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2981343314:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.23/0.55 % (208561)Instruction limit reached!
% 1.23/0.55 % (208561)------------------------------
% 1.23/0.55 % (208561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (208561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (208564)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
% 1.23/0.55 % (208561)CaDiCaL version: 2.1.3
% 1.23/0.55 % (208561)Termination reason: Instruction limit
% 1.23/0.55 % (208561)Termination phase: Saturation
% 1.23/0.55 % (208561)Time elapsed: 0.008 s
% 1.23/0.55 % (208564)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.23/0.55 % (208561)Peak memory usage: 12 MB
% 1.23/0.55 % (208561)Instructions burned: 12 (million)
% 1.23/0.55 % (208559)Instruction limit reached!
% 1.23/0.55 % (208559)------------------------------
% 1.23/0.55 % (208559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (208559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (208559)CaDiCaL version: 2.1.3
% 1.23/0.55 % (208559)Termination reason: Instruction limit
% 1.23/0.55 % (208559)Termination phase: Saturation
% 1.23/0.55 % (208559)Time elapsed: 0.005 s
% 1.23/0.55 % (208559)Peak memory usage: 12 MB
% 1.23/0.55 % (208559)Instructions burned: 5 (million)
% 1.23/0.55 % (208564)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4069453549:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.23/0.55 % (208564)Instruction limit reached!
% 1.23/0.55 % (208564)------------------------------
% 1.23/0.55 % (208564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (208564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (208564)CaDiCaL version: 2.1.3
% 1.23/0.55 % (208564)Termination reason: Instruction limit
% 1.23/0.55 % (208564)Termination phase: Saturation
% 1.23/0.55 % (208564)Time elapsed: 0.012 s
% 1.23/0.55 % (208564)Peak memory usage: 12 MB
% 1.23/0.55 % (208564)Instructions burned: 28 (million)
% 1.23/0.55 % (208544)Instruction limit reached!
% 1.23/0.55 % (208544)------------------------------
% 1.23/0.55 % (208544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.55 % (208544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.55 % (208544)CaDiCaL version: 2.1.3
% 1.23/0.55 % (208544)Termination reason: Instruction limit
% 1.23/0.55 % (208544)Termination phase: Saturation
% 1.23/0.55 % (208544)Time elapsed: 0.069 s
% 1.23/0.55 % (208544)Peak memory usage: 12 MB
% 1.86/0.60 % (208544)Instructions burned: 87 (million)
% 1.86/0.60 % (208565)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=1128960300:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.86/0.60 % (208570)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.86/0.60 % (208570)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=832187010:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.86/0.60 % (208570)Instruction limit reached!
% 1.86/0.60 % (208570)------------------------------
% 1.86/0.60 % (208570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.60 % (208570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.60 % (208570)CaDiCaL version: 2.1.3
% 1.86/0.60 % (208570)Termination reason: Instruction limit
% 1.86/0.60 % (208570)Termination phase: Property scanning
% 1.86/0.60 % (208570)Time elapsed: 0.001 s
% 1.86/0.60 % (208570)Peak memory usage: 10 MB
% 1.86/0.60 % (208570)Instructions burned: 2 (million)
% 1.86/0.60 % (208568)lrs+10_1_si=on:cs=on:random_seed=831487858:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.86/0.60 % (208571)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=777639963:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.86/0.60 % (208568)Instruction limit reached!
% 1.86/0.60 % (208568)------------------------------
% 1.86/0.60 % (208568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.60 % (208568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.60 % (208568)CaDiCaL version: 2.1.3
% 1.86/0.60 % (208568)Termination reason: Instruction limit
% 1.86/0.60 % (208568)Termination phase: Saturation
% 1.86/0.60 % (208568)Time elapsed: 0.007 s
% 1.86/0.60 % (208568)Peak memory usage: 12 MB
% 1.86/0.60 % (208568)Instructions burned: 8 (million)
% 1.86/0.60 % (208572)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3349243918:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.86/0.60 % (208571)Instruction limit reached!
% 1.86/0.60 % (208571)------------------------------
% 1.86/0.60 % (208571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.60 % (208571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.60 % (208571)CaDiCaL version: 2.1.3
% 1.86/0.60 % (208571)Termination reason: Instruction limit
% 1.86/0.60 % (208571)Termination phase: Saturation
% 1.86/0.60 % (208571)Time elapsed: 0.016 s
% 1.86/0.60 % (208571)Peak memory usage: 12 MB
% 1.86/0.60 % (208571)Instructions burned: 39 (million)
% 1.86/0.60 % (208575)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2943469708:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.86/0.60 % (208580)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1752074087:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.86/0.60 % (208578)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4166433983:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.86/0.60 % (208550)Instruction limit reached!
% 1.86/0.60 % (208550)------------------------------
% 1.86/0.60 % (208550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.60 % (208550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.60 % (208550)CaDiCaL version: 2.1.3
% 1.86/0.60 % (208550)Termination reason: Instruction limit
% 1.86/0.60 % (208550)Termination phase: Saturation
% 1.86/0.60 % (208550)Time elapsed: 0.124 s
% 1.86/0.60 % (208550)Peak memory usage: 13 MB
% 1.86/0.60 % (208550)Instructions burned: 157 (million)
% 1.86/0.60 % (208575)Instruction limit reached!
% 1.86/0.60 % (208575)------------------------------
% 1.86/0.60 % (208575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.60 % (208575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.60 % (208575)CaDiCaL version: 2.1.3
% 1.86/0.60 % (208575)Termination reason: Instruction limit
% 1.86/0.60 % (208575)Termination phase: Saturation
% 1.86/0.60 % (208575)Time elapsed: 0.023 s
% 2.28/0.69 % (208575)Peak memory usage: 12 MB
% 2.28/0.69 % (208575)Instructions burned: 26 (million)
% 2.28/0.69 % (208578)Instruction limit reached!
% 2.28/0.69 % (208578)------------------------------
% 2.28/0.69 % (208578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.69 % (208578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.69 % (208578)CaDiCaL version: 2.1.3
% 2.28/0.69 % (208578)Termination reason: Instruction limit
% 2.28/0.69 % (208578)Termination phase: Saturation
% 2.28/0.69 % (208578)Time elapsed: 0.012 s
% 2.28/0.69 % (208578)Peak memory usage: 12 MB
% 2.28/0.69 % (208578)Instructions burned: 14 (million)
% 2.28/0.69 % (208584)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=625191803:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.28/0.69 % (208565)Instruction limit reached!
% 2.28/0.69 % (208565)------------------------------
% 2.28/0.69 % (208565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.69 % (208565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.69 % (208565)CaDiCaL version: 2.1.3
% 2.28/0.69 % (208565)Termination reason: Instruction limit
% 2.28/0.69 % (208565)Termination phase: Saturation
% 2.28/0.69 % (208565)Time elapsed: 0.075 s
% 2.28/0.69 % (208565)Peak memory usage: 12 MB
% 2.28/0.69 % (208565)Instructions burned: 86 (million)
% 2.28/0.69 % (208584)Instruction limit reached!
% 2.28/0.69 % (208584)------------------------------
% 2.28/0.69 % (208584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.69 % (208584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.69 % (208584)CaDiCaL version: 2.1.3
% 2.28/0.69 % (208584)Termination reason: Instruction limit
% 2.28/0.69 % (208584)Termination phase: Saturation
% 2.28/0.69 % (208584)Time elapsed: 0.006 s
% 2.28/0.69 % (208584)Peak memory usage: 12 MB
% 2.28/0.69 % (208584)Instructions burned: 14 (million)
% 2.28/0.69 % (208585)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3062103030: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)
% 2.28/0.69 % (208585)Instruction limit reached!
% 2.28/0.69 % (208585)------------------------------
% 2.28/0.69 % (208585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.69 % (208585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.69 % (208585)CaDiCaL version: 2.1.3
% 2.28/0.69 % (208585)Termination reason: Instruction limit
% 2.28/0.69 % (208585)Termination phase: SInE selection
% 2.28/0.69 % (208585)Time elapsed: 0.002 s
% 2.28/0.69 % (208585)Peak memory usage: 10 MB
% 2.28/0.69 % (208585)Instructions burned: 2 (million)
% 2.28/0.69 % (208589)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=761639258:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.28/0.69 % (208586)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2265898928:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 2.28/0.69 % (208588)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2047576731:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.28/0.69 % (208586)Instruction limit reached!
% 2.28/0.69 % (208586)------------------------------
% 2.28/0.69 % (208586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.69 % (208586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.69 % (208586)CaDiCaL version: 2.1.3
% 2.28/0.69 % (208586)Termination reason: Instruction limit
% 2.28/0.69 % (208586)Termination phase: Saturation
% 2.28/0.69 % (208586)Time elapsed: 0.022 s
% 2.28/0.69 % (208586)Peak memory usage: 12 MB
% 2.28/0.69 % (208586)Instructions burned: 26 (million)
% 2.28/0.69 % (208589)Instruction limit reached!
% 2.28/0.69 % (208589)------------------------------
% 2.28/0.69 % (208589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.69 % (208589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.69 % (208589)CaDiCaL version: 2.1.3
% 2.28/0.69 % (208589)Termination reason: Instruction limit
% 2.28/0.69 % (208589)Termination phase: Saturation
% 2.28/0.69 % (208589)Time elapsed: 0.025 s
% 2.28/0.69 % (208589)Peak memory usage: 12 MB
% 2.28/0.69 % (208589)Instructions burned: 60 (million)
% 2.28/0.69 % (208592)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.62/0.77 % (208592)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.62/0.77 % (208592)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=3095971366:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.62/0.77 % (208588)Instruction limit reached!
% 2.62/0.77 % (208588)------------------------------
% 2.62/0.77 % (208588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.77 % (208588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.77 % (208588)CaDiCaL version: 2.1.3
% 2.62/0.77 % (208588)Termination reason: Instruction limit
% 2.62/0.77 % (208588)Termination phase: Saturation
% 2.62/0.77 % (208588)Time elapsed: 0.020 s
% 2.62/0.77 % (208588)Peak memory usage: 12 MB
% 2.62/0.77 % (208588)Instructions burned: 24 (million)
% 2.62/0.77 % (208595)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.62/0.77 % (208595)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=3627089209:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.62/0.77 % (208592)Instruction limit reached!
% 2.62/0.77 % (208592)------------------------------
% 2.62/0.77 % (208592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.77 % (208592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.77 % (208592)CaDiCaL version: 2.1.3
% 2.62/0.77 % (208592)Termination reason: Instruction limit
% 2.62/0.77 % (208592)Termination phase: Saturation
% 2.62/0.77 % (208592)Time elapsed: 0.013 s
% 2.62/0.77 % (208592)Peak memory usage: 12 MB
% 2.62/0.77 % (208592)Instructions burned: 14 (million)
% 2.62/0.77 % (208595)Instruction limit reached!
% 2.62/0.77 % (208595)------------------------------
% 2.62/0.77 % (208595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.77 % (208595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.77 % (208595)CaDiCaL version: 2.1.3
% 2.62/0.77 % (208595)Termination reason: Instruction limit
% 2.62/0.77 % (208595)Termination phase: Saturation
% 2.62/0.77 % (208595)Time elapsed: 0.004 s
% 2.62/0.77 % (208595)Peak memory usage: 12 MB
% 2.62/0.77 % (208595)Instructions burned: 8 (million)
% 2.62/0.77 % (208596)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=1315953907:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.62/0.77 % (208600)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3779819675:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.62/0.77 % (208598)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=314993276:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.62/0.77 % (208600)Refutation not found, incomplete strategy
% 2.62/0.77 % (208600)------------------------------
% 2.62/0.77 % (208600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.77 % (208600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.77 % (208600)CaDiCaL version: 2.1.3
% 2.62/0.77 % (208600)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.77 % (208600)Time elapsed: 0.006 s
% 2.62/0.77 % (208600)Peak memory usage: 12 MB
% 2.62/0.77 % (208600)Instructions burned: 13 (million)
% 2.62/0.77 % (208600)------------------------------
% 2.62/0.77 % (208600)------------------------------
% 2.62/0.77 % (208596)Refutation not found, incomplete strategy
% 2.62/0.77 % (208596)------------------------------
% 2.62/0.77 % (208596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.62/0.77 % (208596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/0.77 % (208596)CaDiCaL version: 2.1.3
% 2.62/0.77 % (208596)Termination reason: Refutation not found, incomplete strategy
% 2.62/0.77 % (208596)Time elapsed: 0.012 s
% 2.62/0.77 % (208596)Peak memory usage: 12 MB
% 2.62/0.77 % (208596)Instructions burned: 13 (million)
% 2.98/0.89 % (208596)------------------------------
% 2.98/0.89 % (208596)------------------------------
% 2.98/0.89 % (208598)Instruction limit reached!
% 2.98/0.89 % (208598)------------------------------
% 2.98/0.89 % (208598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.89 % (208598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.89 % (208598)CaDiCaL version: 2.1.3
% 2.98/0.89 % (208598)Termination reason: Instruction limit
% 2.98/0.89 % (208598)Termination phase: Saturation
% 2.98/0.89 % (208598)Time elapsed: 0.007 s
% 2.98/0.89 % (208598)Peak memory usage: 12 MB
% 2.98/0.89 % (208598)Instructions burned: 8 (million)
% 2.98/0.89 % (208601)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4078593673:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.98/0.89 % (208606)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4109378872:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.98/0.89 % (208601)Instruction limit reached!
% 2.98/0.89 % (208601)------------------------------
% 2.98/0.89 % (208601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.89 % (208601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.89 % (208601)CaDiCaL version: 2.1.3
% 2.98/0.89 % (208601)Termination reason: Instruction limit
% 2.98/0.89 % (208601)Termination phase: Saturation
% 2.98/0.89 % (208601)Time elapsed: 0.017 s
% 2.98/0.89 % (208601)Peak memory usage: 12 MB
% 2.98/0.89 % (208601)Instructions burned: 20 (million)
% 2.98/0.89 % (208605)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2442428290:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.98/0.89 % (208608)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2754862980:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.98/0.89 % (208572)Instruction limit reached!
% 2.98/0.89 % (208572)------------------------------
% 2.98/0.89 % (208572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.89 % (208572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.89 % (208572)CaDiCaL version: 2.1.3
% 2.98/0.89 % (208572)Termination reason: Instruction limit
% 2.98/0.89 % (208572)Termination phase: Saturation
% 2.98/0.89 % (208572)Time elapsed: 0.193 s
% 2.98/0.89 % (208572)Peak memory usage: 13 MB
% 2.98/0.89 % (208572)Instructions burned: 250 (million)
% 2.98/0.89 % (208610)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1691473809:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.98/0.89 % (208614)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.98/0.89 % (208614)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=580873217:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.98/0.89 % (208606)Instruction limit reached!
% 2.98/0.89 % (208606)------------------------------
% 2.98/0.89 % (208606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.89 % (208606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.89 % (208606)CaDiCaL version: 2.1.3
% 2.98/0.89 % (208606)Termination reason: Instruction limit
% 2.98/0.89 % (208606)Termination phase: Saturation
% 2.98/0.89 % (208606)Time elapsed: 0.060 s
% 2.98/0.89 % (208606)Peak memory usage: 13 MB
% 2.98/0.89 % (208606)Instructions burned: 144 (million)
% 2.98/0.89 % (208614)Instruction limit reached!
% 2.98/0.89 % (208614)------------------------------
% 2.98/0.89 % (208614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.89 % (208614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.89 % (208614)CaDiCaL version: 2.1.3
% 2.98/0.89 % (208614)Termination reason: Instruction limit
% 2.98/0.89 % (208614)Termination phase: Saturation
% 2.98/0.89 % (208614)Time elapsed: 0.006 s
% 2.98/0.89 % (208614)Peak memory usage: 12 MB
% 2.98/0.89 % (208614)Instructions burned: 11 (million)
% 2.98/0.89 % (208610)Instruction limit reached!
% 2.98/0.89 % (208610)------------------------------
% 2.98/0.89 % (208610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.89 % (208610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.04 % (208610)CaDiCaL version: 2.1.3
% 3.55/1.04 % (208610)Termination reason: Instruction limit
% 3.55/1.04 % (208610)Termination phase: Saturation
% 3.55/1.04 % (208610)Time elapsed: 0.035 s
% 3.55/1.04 % (208610)Peak memory usage: 12 MB
% 3.55/1.04 % (208610)Instructions burned: 43 (million)
% 3.55/1.04 % (208580)Instruction limit reached!
% 3.55/1.04 % (208580)------------------------------
% 3.55/1.04 % (208580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/1.04 % (208580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.04 % (208580)CaDiCaL version: 2.1.3
% 3.55/1.04 % (208580)Termination reason: Instruction limit
% 3.55/1.04 % (208580)Termination phase: Saturation
% 3.55/1.04 % (208580)Time elapsed: 0.214 s
% 3.55/1.04 % (208580)Peak memory usage: 13 MB
% 3.55/1.04 % (208580)Instructions burned: 328 (million)
% 3.55/1.04 % (208617)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=255315911:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.55/1.04 % (208616)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2062010055:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.55/1.04 % (208619)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3917969544:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.55/1.04 % (208618)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.55/1.04 % (208619)Refutation not found, incomplete strategy
% 3.55/1.04 % (208619)------------------------------
% 3.55/1.04 % (208619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/1.04 % (208619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.04 % (208619)CaDiCaL version: 2.1.3
% 3.55/1.04 % (208619)Termination reason: Refutation not found, incomplete strategy
% 3.55/1.04 % (208619)Time elapsed: 0.004 s
% 3.55/1.04 % (208619)Peak memory usage: 12 MB
% 3.55/1.04 % (208619)Instructions burned: 9 (million)
% 3.55/1.04 % (208619)------------------------------
% 3.55/1.04 % (208619)------------------------------
% 3.55/1.04 % (208618)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2535273398:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.55/1.04 % (208618)Instruction limit reached!
% 3.55/1.04 % (208618)------------------------------
% 3.55/1.04 % (208618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/1.04 % (208618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.04 % (208618)CaDiCaL version: 2.1.3
% 3.55/1.04 % (208618)Termination reason: Instruction limit
% 3.55/1.04 % (208618)Termination phase: Saturation
% 3.55/1.04 % (208618)Time elapsed: 0.006 s
% 3.55/1.04 % (208618)Peak memory usage: 11 MB
% 3.55/1.04 % (208618)Instructions burned: 6 (million)
% 3.55/1.04 % (208623)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2522598505:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.55/1.04 % (208623)Instruction limit reached!
% 3.55/1.04 % (208623)------------------------------
% 3.55/1.04 % (208623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/1.04 % (208623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.04 % (208623)CaDiCaL version: 2.1.3
% 3.55/1.04 % (208623)Termination reason: Instruction limit
% 3.55/1.04 % (208623)Termination phase: Saturation
% 3.55/1.04 % (208623)Time elapsed: 0.011 s
% 3.55/1.04 % (208623)Peak memory usage: 13 MB
% 3.55/1.04 % (208623)Instructions burned: 20 (million)
% 3.55/1.04 % (208625)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=2032433807:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 3.55/1.04 % (208608)Instruction limit reached!
% 3.55/1.04 % (208608)------------------------------
% 3.55/1.04 % (208608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/1.04 % (208608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.04 % (208608)CaDiCaL version: 2.1.3
% 3.55/1.04 % (208608)Termination reason: Instruction limit
% 3.55/1.04 % (208608)Termination phase: Saturation
% 5.31/1.15 % (208608)Time elapsed: 0.146 s
% 5.31/1.15 % (208608)Peak memory usage: 13 MB
% 5.31/1.15 % (208608)Instructions burned: 193 (million)
% 5.31/1.15 % (208627)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=661555210:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.31/1.15 % (208630)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=1930416374: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)
% 5.31/1.15 % (208617)Instruction limit reached!
% 5.31/1.15 % (208617)------------------------------
% 5.31/1.15 % (208617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.31/1.15 % (208617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.15 % (208617)CaDiCaL version: 2.1.3
% 5.31/1.15 % (208617)Termination reason: Instruction limit
% 5.31/1.15 % (208617)Termination phase: Saturation
% 5.31/1.15 % (208617)Time elapsed: 0.134 s
% 5.31/1.15 % (208617)Peak memory usage: 13 MB
% 5.31/1.15 % (208617)Instructions burned: 170 (million)
% 5.31/1.15 % (208547)Instruction limit reached!
% 5.31/1.15 % (208547)------------------------------
% 5.31/1.15 % (208547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.31/1.15 % (208547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.15 % (208547)CaDiCaL version: 2.1.3
% 5.31/1.15 % (208547)Termination reason: Instruction limit
% 5.31/1.15 % (208547)Termination phase: Saturation
% 5.31/1.15 % (208547)Time elapsed: 0.493 s
% 5.31/1.15 % (208547)Peak memory usage: 16 MB
% 5.31/1.15 % (208547)Instructions burned: 634 (million)
% 5.31/1.15 % (208630)Instruction limit reached!
% 5.31/1.15 % (208630)------------------------------
% 5.31/1.15 % (208630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.31/1.15 % (208630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.15 % (208630)CaDiCaL version: 2.1.3
% 5.31/1.15 % (208630)Termination reason: Instruction limit
% 5.31/1.15 % (208630)Termination phase: Saturation
% 5.31/1.15 % (208630)Time elapsed: 0.038 s
% 5.31/1.15 % (208630)Peak memory usage: 12 MB
% 5.31/1.15 % (208630)Instructions burned: 46 (million)
% 5.31/1.15 % (208616)Instruction limit reached!
% 5.31/1.15 % (208616)------------------------------
% 5.31/1.15 % (208616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.31/1.15 % (208616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.15 % (208616)CaDiCaL version: 2.1.3
% 5.31/1.15 % (208616)Termination reason: Instruction limit
% 5.31/1.15 % (208616)Termination phase: Saturation
% 5.31/1.15 % (208616)Time elapsed: 0.141 s
% 5.31/1.15 % (208616)Peak memory usage: 13 MB
% 5.31/1.15 % (208616)Instructions burned: 182 (million)
% 5.31/1.15 % (208632)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2242022936:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 5.31/1.15 % (208634)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.31/1.15 % (208633)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=382407980:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.31/1.15 % (208634)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=211921455:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 5.31/1.15 % (208635)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3693739324:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 5.31/1.15 % (208635)Instruction limit reached!
% 5.31/1.15 % (208635)------------------------------
% 5.31/1.15 % (208635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.31/1.15 % (208635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.15 % (208635)CaDiCaL version: 2.1.3
% 5.31/1.15 % (208635)Termination reason: Instruction limit
% 5.31/1.15 % (208635)Termination phase: Saturation
% 5.31/1.15 % (208635)Time elapsed: 0.012 s
% 5.31/1.15 % (208635)Peak memory usage: 12 MB
% 5.31/1.15 % (208635)Instructions burned: 13 (million)
% 6.57/1.41 % (208633)Instruction limit reached!
% 6.57/1.41 % (208633)------------------------------
% 6.57/1.41 % (208633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.41 % (208633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.41 % (208633)CaDiCaL version: 2.1.3
% 6.57/1.41 % (208633)Termination reason: Instruction limit
% 6.57/1.41 % (208633)Termination phase: Saturation
% 6.57/1.41 % (208633)Time elapsed: 0.019 s
% 6.57/1.41 % (208633)Peak memory usage: 12 MB
% 6.57/1.41 % (208633)Instructions burned: 21 (million)
% 6.57/1.41 % (208641)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=340377378:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 6.57/1.41 % (208640)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=962943100:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 6.57/1.41 % (208641)Instruction limit reached!
% 6.57/1.41 % (208641)------------------------------
% 6.57/1.41 % (208641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.41 % (208641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.41 % (208641)CaDiCaL version: 2.1.3
% 6.57/1.41 % (208641)Termination reason: Instruction limit
% 6.57/1.41 % (208641)Termination phase: Saturation
% 6.57/1.41 % (208641)Time elapsed: 0.041 s
% 6.57/1.41 % (208641)Peak memory usage: 12 MB
% 6.57/1.41 % (208641)Instructions burned: 51 (million)
% 6.57/1.41 % (208640)Instruction limit reached!
% 6.57/1.41 % (208640)------------------------------
% 6.57/1.41 % (208640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.41 % (208640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.41 % (208640)CaDiCaL version: 2.1.3
% 6.57/1.41 % (208640)Termination reason: Instruction limit
% 6.57/1.41 % (208640)Termination phase: Saturation
% 6.57/1.41 % (208640)Time elapsed: 0.057 s
% 6.57/1.41 % (208640)Peak memory usage: 12 MB
% 6.57/1.41 % (208640)Instructions burned: 66 (million)
% 6.57/1.41 % (208644)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3208677781:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.57/1.41 % (208644)Refutation not found, incomplete strategy
% 6.57/1.41 % (208644)------------------------------
% 6.57/1.41 % (208644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.41 % (208644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.41 % (208644)CaDiCaL version: 2.1.3
% 6.57/1.41 % (208644)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.41 % (208644)Time elapsed: 0.007 s
% 6.57/1.41 % (208644)Peak memory usage: 12 MB
% 6.57/1.41 % (208644)Instructions burned: 12 (million)
% 6.57/1.41 % (208644)------------------------------
% 6.57/1.41 % (208644)------------------------------
% 6.57/1.41 % (208645)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2650950369:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 6.57/1.41 % (208634)Instruction limit reached!
% 6.57/1.41 % (208634)------------------------------
% 6.57/1.41 % (208634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.41 % (208634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.41 % (208634)CaDiCaL version: 2.1.3
% 6.57/1.41 % (208634)Termination reason: Instruction limit
% 6.57/1.41 % (208634)Termination phase: Saturation
% 6.57/1.41 % (208634)Time elapsed: 0.156 s
% 6.57/1.41 % (208634)Peak memory usage: 12 MB
% 6.57/1.41 % (208634)Instructions burned: 201 (million)
% 6.57/1.41 % (208625)Instruction limit reached!
% 6.57/1.41 % (208625)------------------------------
% 6.57/1.41 % (208625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.41 % (208625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.41 % (208625)CaDiCaL version: 2.1.3
% 6.57/1.41 % (208625)Termination reason: Instruction limit
% 6.57/1.41 % (208625)Termination phase: Saturation
% 6.57/1.41 % (208625)Time elapsed: 0.277 s
% 6.57/1.41 % (208625)Peak memory usage: 14 MB
% 6.57/1.41 % (208625)Instructions burned: 316 (million)
% 6.57/1.41 % (208647)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=2779514852:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 7.20/1.59 % (208649)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2975579983:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 7.20/1.59 % (208647)Instruction limit reached!
% 7.20/1.59 % (208647)------------------------------
% 7.20/1.59 % (208647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.20/1.59 % (208647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.59 % (208647)CaDiCaL version: 2.1.3
% 7.20/1.59 % (208647)Termination reason: Instruction limit
% 7.20/1.59 % (208647)Termination phase: Saturation
% 7.20/1.59 % (208647)Time elapsed: 0.034 s
% 7.20/1.59 % (208647)Peak memory usage: 12 MB
% 7.20/1.59 % (208647)Instructions burned: 34 (million)
% 7.20/1.59 % (208651)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 7.20/1.59 % (208651)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=86714315:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 7.20/1.59 % (208651)Refutation not found, incomplete strategy
% 7.20/1.59 % (208651)------------------------------
% 7.20/1.59 % (208651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.20/1.59 % (208651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.59 % (208651)CaDiCaL version: 2.1.3
% 7.20/1.59 % (208651)Termination reason: Refutation not found, incomplete strategy
% 7.20/1.59 % (208651)Time elapsed: 0.012 s
% 7.20/1.59 % (208651)Peak memory usage: 12 MB
% 7.20/1.59 % (208651)Instructions burned: 13 (million)
% 7.20/1.59 % (208651)------------------------------
% 7.20/1.59 % (208651)------------------------------
% 7.20/1.59 % (208653)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2122425354:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 7.20/1.59 % (208627)Instruction limit reached!
% 7.20/1.59 % (208627)------------------------------
% 7.20/1.59 % (208627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.20/1.59 % (208627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.59 % (208627)CaDiCaL version: 2.1.3
% 7.20/1.59 % (208627)Termination reason: Instruction limit
% 7.20/1.59 % (208627)Termination phase: Saturation
% 7.20/1.59 % (208627)Time elapsed: 0.349 s
% 7.20/1.59 % (208627)Peak memory usage: 17 MB
% 7.20/1.59 % (208627)Instructions burned: 855 (million)
% 7.20/1.59 % (208649)Instruction limit reached!
% 7.20/1.59 % (208649)------------------------------
% 7.20/1.59 % (208649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.20/1.59 % (208649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.59 % (208649)CaDiCaL version: 2.1.3
% 7.20/1.59 % (208649)Termination reason: Instruction limit
% 7.20/1.59 % (208649)Termination phase: Saturation
% 7.20/1.59 % (208649)Time elapsed: 0.054 s
% 7.20/1.59 % (208649)Peak memory usage: 12 MB
% 7.20/1.59 % (208649)Instructions burned: 68 (million)
% 7.20/1.59 % (208656)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=4160270034:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 7.20/1.59 % (208645)Instruction limit reached!
% 7.20/1.59 % (208645)------------------------------
% 7.20/1.59 % (208645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.20/1.59 % (208645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.59 % (208645)CaDiCaL version: 2.1.3
% 7.20/1.59 % (208645)Termination reason: Instruction limit
% 7.20/1.59 % (208645)Termination phase: Saturation
% 7.20/1.59 % (208645)Time elapsed: 0.110 s
% 7.20/1.59 % (208645)Peak memory usage: 12 MB
% 7.20/1.59 % (208645)Instructions burned: 138 (million)
% 7.20/1.59 % (208632)Instruction limit reached!
% 7.20/1.59 % (208632)------------------------------
% 7.20/1.59 % (208632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.20/1.59 % (208632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.59 % (208632)CaDiCaL version: 2.1.3
% 7.20/1.59 % (208632)Termination reason: Instruction limit
% 7.20/1.59 % (208632)Termination phase: Saturation
% 7.20/1.59 % (208632)Time elapsed: 0.292 s
% 7.20/1.59 % (208632)Peak memory usage: 15 MB
% 7.20/1.59 % (208632)Instructions burned: 481 (million)
% 7.20/1.59 % (208658)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2631334158:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 9.03/1.70 % (208657)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2497863698:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 9.03/1.70 % (208660)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3435914421:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 9.03/1.70 % (208661)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1465607375:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 9.03/1.70 % (208653)Instruction limit reached!
% 9.03/1.70 % (208653)------------------------------
% 9.03/1.70 % (208653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.70 % (208653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.70 % (208653)CaDiCaL version: 2.1.3
% 9.03/1.70 % (208653)Termination reason: Instruction limit
% 9.03/1.70 % (208653)Termination phase: Saturation
% 9.03/1.70 % (208653)Time elapsed: 0.109 s
% 9.03/1.70 % (208653)Peak memory usage: 13 MB
% 9.03/1.70 % (208653)Instructions burned: 250 (million)
% 9.03/1.70 % (208656)Instruction limit reached!
% 9.03/1.70 % (208656)------------------------------
% 9.03/1.70 % (208656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.70 % (208656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.70 % (208656)CaDiCaL version: 2.1.3
% 9.03/1.70 % (208656)Termination reason: Instruction limit
% 9.03/1.70 % (208656)Termination phase: Saturation
% 9.03/1.70 % (208656)Time elapsed: 0.078 s
% 9.03/1.70 % (208656)Peak memory usage: 12 MB
% 9.03/1.70 % (208656)Instructions burned: 97 (million)
% 9.03/1.70 % (208666)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=973409299:i=44:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/44Mi)
% 9.03/1.70 % (208667)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3416450005:s2a=on:i=571:nm=16:rtra=on_2991 on theBenchmark for (2991ds/571Mi)
% 9.03/1.70 % (208666)Instruction limit reached!
% 9.03/1.70 % (208666)------------------------------
% 9.03/1.70 % (208666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.70 % (208666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.70 % (208666)CaDiCaL version: 2.1.3
% 9.03/1.70 % (208666)Termination reason: Instruction limit
% 9.03/1.70 % (208666)Termination phase: Saturation
% 9.03/1.70 % (208666)Time elapsed: 0.023 s
% 9.03/1.70 % (208666)Peak memory usage: 13 MB
% 9.03/1.70 % (208666)Instructions burned: 44 (million)
% 9.03/1.70 % (208670)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3205914717:i=450:rtra=on:ixr=off:ntd=on_2990 on theBenchmark for (2990ds/450Mi)
% 9.03/1.70 % (208661)Instruction limit reached!
% 9.03/1.70 % (208661)------------------------------
% 9.03/1.70 % (208661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.70 % (208661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.70 % (208661)CaDiCaL version: 2.1.3
% 9.03/1.70 % (208661)Termination reason: Instruction limit
% 9.03/1.70 % (208661)Termination phase: Saturation
% 9.03/1.70 % (208661)Time elapsed: 0.106 s
% 9.03/1.70 % (208661)Peak memory usage: 12 MB
% 9.03/1.70 % (208661)Instructions burned: 130 (million)
% 9.03/1.70 % (208672)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3223063324:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/95Mi)
% 9.03/1.70 % (208672)Instruction limit reached!
% 9.03/1.70 % (208672)------------------------------
% 9.03/1.70 % (208672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.70 % (208672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.70 % (208672)CaDiCaL version: 2.1.3
% 9.03/1.70 % (208672)Termination reason: Instruction limit
% 9.03/1.70 % (208672)Termination phase: Saturation
% 9.03/1.70 % (208672)Time elapsed: 0.042 s
% 9.03/1.70 % (208672)Peak memory usage: 13 MB
% 9.03/1.70 % (208672)Instructions burned: 96 (million)
% 9.03/1.70 % (208674)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=2733969326:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2989 on theBenchmark for (2989ds/65Mi)
% 9.03/1.70 % (208674)Instruction limit reached!
% 9.03/1.70 % (208674)------------------------------
% 9.03/1.70 % (208674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.87 % (208674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.87 % (208674)CaDiCaL version: 2.1.3
% 9.13/1.87 % (208674)Termination reason: Instruction limit
% 9.13/1.87 % (208674)Termination phase: Saturation
% 9.13/1.87 % (208674)Time elapsed: 0.035 s
% 9.13/1.87 % (208674)Peak memory usage: 12 MB
% 9.13/1.87 % (208674)Instructions burned: 66 (million)
% 9.13/1.87 % (208676)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=733984518:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/105Mi)
% 9.13/1.87 % (208657)Instruction limit reached!
% 9.13/1.87 % (208657)------------------------------
% 9.13/1.87 % (208657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.87 % (208657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.87 % (208657)CaDiCaL version: 2.1.3
% 9.13/1.87 % (208657)Termination reason: Instruction limit
% 9.13/1.87 % (208657)Termination phase: Saturation
% 9.13/1.87 % (208657)Time elapsed: 0.329 s
% 9.13/1.87 % (208657)Peak memory usage: 14 MB
% 9.13/1.87 % (208657)Instructions burned: 428 (million)
% 9.13/1.87 % (208676)Instruction limit reached!
% 9.13/1.87 % (208676)------------------------------
% 9.13/1.87 % (208676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.87 % (208676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.87 % (208676)CaDiCaL version: 2.1.3
% 9.13/1.87 % (208676)Termination reason: Instruction limit
% 9.13/1.87 % (208676)Termination phase: Saturation
% 9.13/1.87 % (208676)Time elapsed: 0.059 s
% 9.13/1.87 % (208676)Peak memory usage: 13 MB
% 9.13/1.87 % (208676)Instructions burned: 111 (million)
% 9.13/1.87 % (208678)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=4009241739:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2988 on theBenchmark for (2988ds/5755Mi)
% 9.13/1.87 % (208678)Refutation not found, incomplete strategy
% 9.13/1.87 % (208678)------------------------------
% 9.13/1.87 % (208678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.87 % (208678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.87 % (208678)CaDiCaL version: 2.1.3
% 9.13/1.87 % (208678)Termination reason: Refutation not found, incomplete strategy
% 9.13/1.87 % (208678)Time elapsed: 0.006 s
% 9.13/1.87 % (208678)Peak memory usage: 13 MB
% 9.13/1.87 % (208678)Instructions burned: 12 (million)
% 9.13/1.87 % (208678)------------------------------
% 9.13/1.87 % (208678)------------------------------
% 9.13/1.87 % (208679)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2018576961:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/375Mi)
% 9.13/1.87 % (208681)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1853042423:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/495Mi)
% 9.13/1.87 % (208660)Instruction limit reached!
% 9.13/1.87 % (208660)------------------------------
% 9.13/1.87 % (208660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.87 % (208660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.87 % (208660)CaDiCaL version: 2.1.3
% 9.13/1.87 % (208660)Termination reason: Instruction limit
% 9.13/1.87 % (208660)Termination phase: Saturation
% 9.13/1.87 % (208660)Time elapsed: 0.397 s
% 9.13/1.87 % (208660)Peak memory usage: 15 MB
% 9.13/1.87 % (208660)Instructions burned: 516 (million)
% 9.13/1.87 % (208670)Instruction limit reached!
% 9.13/1.87 % (208670)------------------------------
% 9.13/1.87 % (208670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.87 % (208670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.87 % (208670)CaDiCaL version: 2.1.3
% 9.13/1.87 % (208670)Termination reason: Instruction limit
% 9.13/1.87 % (208670)Termination phase: Saturation
% 9.13/1.87 % (208670)Time elapsed: 0.298 s
% 9.13/1.87 % (208670)Peak memory usage: 14 MB
% 9.13/1.87 % (208670)Instructions burned: 450 (million)
% 9.13/1.87 % (208685)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=4108978672:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/91Mi)
% 10.52/1.98 % (208684)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=2355695584:cond=on:i=34:hud=10:nm=10:rtra=on_2987 on theBenchmark for (2987ds/34Mi)
% 10.52/1.98 % (208684)Instruction limit reached!
% 10.52/1.98 % (208684)------------------------------
% 10.52/1.98 % (208684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.52/1.98 % (208684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/1.98 % (208684)CaDiCaL version: 2.1.3
% 10.52/1.98 % (208684)Termination reason: Instruction limit
% 10.52/1.98 % (208684)Termination phase: Saturation
% 10.52/1.98 % (208684)Time elapsed: 0.030 s
% 10.52/1.98 % (208684)Peak memory usage: 12 MB
% 10.52/1.98 % (208684)Instructions burned: 34 (million)
% 10.52/1.98 % (208688)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3158971040: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)
% 10.52/1.98 % (208605)Instruction limit reached!
% 10.52/1.98 % (208605)------------------------------
% 10.52/1.98 % (208605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.52/1.98 % (208605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/1.98 % (208605)CaDiCaL version: 2.1.3
% 10.52/1.98 % (208605)Termination reason: Instruction limit
% 10.52/1.98 % (208605)Termination phase: Saturation
% 10.52/1.98 % (208605)Time elapsed: 1.031 s
% 10.52/1.98 % (208605)Peak memory usage: 16 MB
% 10.52/1.98 % (208605)Instructions burned: 1240 (million)
% 10.52/1.98 % (208679)Instruction limit reached!
% 10.52/1.98 % (208679)------------------------------
% 10.52/1.98 % (208679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.52/1.98 % (208679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/1.98 % (208679)CaDiCaL version: 2.1.3
% 10.52/1.98 % (208679)Termination reason: Instruction limit
% 10.52/1.98 % (208679)Termination phase: Saturation
% 10.52/1.98 % (208679)Time elapsed: 0.153 s
% 10.52/1.98 % (208679)Peak memory usage: 14 MB
% 10.52/1.98 % (208679)Instructions burned: 375 (million)
% 10.52/1.98 % (208685)Instruction limit reached!
% 10.52/1.98 % (208685)------------------------------
% 10.52/1.98 % (208685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.52/1.98 % (208685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/1.98 % (208685)CaDiCaL version: 2.1.3
% 10.52/1.98 % (208685)Termination reason: Instruction limit
% 10.52/1.98 % (208685)Termination phase: Saturation
% 10.52/1.98 % (208685)Time elapsed: 0.079 s
% 10.52/1.98 % (208685)Peak memory usage: 12 MB
% 10.52/1.98 % (208685)Instructions burned: 91 (million)
% 10.52/1.98 % (208667)Instruction limit reached!
% 10.52/1.98 % (208667)------------------------------
% 10.52/1.98 % (208667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.52/1.98 % (208667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/1.98 % (208667)CaDiCaL version: 2.1.3
% 10.52/1.98 % (208667)Termination reason: Instruction limit
% 10.52/1.98 % (208667)Termination phase: Saturation
% 10.52/1.98 % (208667)Time elapsed: 0.439 s
% 10.52/1.98 % (208667)Peak memory usage: 15 MB
% 10.52/1.98 % (208667)Instructions burned: 571 (million)
% 10.52/1.98 % (208691)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=3114063083:i=338:bd=all:ins=4:rtra=on_2986 on theBenchmark for (2986ds/338Mi)
% 10.52/1.98 % (208690)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2479295398:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2986 on theBenchmark for (2986ds/22Mi)
% 10.52/1.98 % (208688)Instruction limit reached!
% 10.52/1.98 % (208688)------------------------------
% 10.52/1.98 % (208688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.52/1.98 % (208688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/1.98 % (208688)CaDiCaL version: 2.1.3
% 10.52/1.98 % (208688)Termination reason: Instruction limit
% 10.52/1.98 % (208688)Termination phase: Saturation
% 10.52/1.98 % (208688)Time elapsed: 0.047 s
% 10.52/1.98 % (208688)Peak memory usage: 12 MB
% 10.52/1.98 % (208688)Instructions burned: 66 (million)
% 10.52/1.98 % (208690)Refutation not found, incomplete strategy
% 10.52/1.98 % (208690)------------------------------
% 10.52/1.98 % (208690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.21 % (208690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.21 % (208690)CaDiCaL version: 2.1.3
% 13.25/2.21 % (208690)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.21 % (208690)Time elapsed: 0.010 s
% 13.25/2.21 % (208690)Peak memory usage: 12 MB
% 13.25/2.21 % (208690)Instructions burned: 9 (million)
% 13.25/2.21 % (208692)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4208659761:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/28Mi)
% 13.25/2.21 % (208690)------------------------------
% 13.25/2.21 % (208690)------------------------------
% 13.25/2.21 % (208693)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 13.25/2.21 % (208696)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=184166130:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2986 on theBenchmark for (2986ds/340Mi)
% 13.25/2.21 % (208693)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=558690284: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)
% 13.25/2.21 % (208692)Instruction limit reached!
% 13.25/2.21 % (208692)------------------------------
% 13.25/2.21 % (208692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.21 % (208692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.21 % (208692)CaDiCaL version: 2.1.3
% 13.25/2.21 % (208692)Termination reason: Instruction limit
% 13.25/2.21 % (208692)Termination phase: Saturation
% 13.25/2.21 % (208692)Time elapsed: 0.024 s
% 13.25/2.21 % (208692)Peak memory usage: 12 MB
% 13.25/2.21 % (208692)Instructions burned: 28 (million)
% 13.25/2.21 % (208698)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1711012936:i=227:sd=1:bd=all:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/227Mi)
% 13.25/2.21 % (208701)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 13.25/2.21 % (208701)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=295582449:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/373Mi)
% 13.25/2.21 % (208658)Instruction limit reached!
% 13.25/2.21 % (208658)------------------------------
% 13.25/2.21 % (208658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.21 % (208658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.21 % (208658)CaDiCaL version: 2.1.3
% 13.25/2.21 % (208658)Termination reason: Instruction limit
% 13.25/2.21 % (208658)Termination phase: Saturation
% 13.25/2.21 % (208658)Time elapsed: 0.673 s
% 13.25/2.21 % (208658)Peak memory usage: 17 MB
% 13.25/2.21 % (208658)Instructions burned: 875 (million)
% 13.25/2.21 % (208693)Instruction limit reached!
% 13.25/2.21 % (208693)------------------------------
% 13.25/2.21 % (208693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.21 % (208693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.21 % (208693)CaDiCaL version: 2.1.3
% 13.25/2.21 % (208693)Termination reason: Instruction limit
% 13.25/2.21 % (208693)Termination phase: Saturation
% 13.25/2.21 % (208693)Time elapsed: 0.114 s
% 13.25/2.21 % (208693)Peak memory usage: 13 MB
% 13.25/2.21 % (208693)Instructions burned: 140 (million)
% 13.25/2.21 % (208696)Instruction limit reached!
% 13.25/2.21 % (208696)------------------------------
% 13.25/2.21 % (208696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.21 % (208696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.21 % (208696)CaDiCaL version: 2.1.3
% 13.25/2.21 % (208696)Termination reason: Instruction limit
% 13.25/2.21 % (208696)Termination phase: Saturation
% 13.25/2.21 % (208696)Time elapsed: 0.133 s
% 13.25/2.21 % (208696)Peak memory usage: 12 MB
% 13.25/2.21 % (208696)Instructions burned: 340 (million)
% 13.25/2.21 % (208708)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2251542477:i=116:ep=RSTC:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/116Mi)
% 13.25/2.21 % (208709)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3771184515:i=575:rtra=on_2984 on theBenchmark for (2984ds/575Mi)
% 13.25/2.21 % (208711)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3528822643:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 14.45/2.50 % (208681)Instruction limit reached!
% 14.45/2.50 % (208681)------------------------------
% 14.45/2.50 % (208681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.50 % (208681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.50 % (208681)CaDiCaL version: 2.1.3
% 14.45/2.50 % (208681)Termination reason: Instruction limit
% 14.45/2.50 % (208681)Termination phase: Saturation
% 14.45/2.50 % (208681)Time elapsed: 0.356 s
% 14.45/2.50 % (208681)Peak memory usage: 15 MB
% 14.45/2.50 % (208681)Instructions burned: 495 (million)
% 14.45/2.50 % (208708)Instruction limit reached!
% 14.45/2.50 % (208708)------------------------------
% 14.45/2.50 % (208708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.50 % (208708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.50 % (208708)CaDiCaL version: 2.1.3
% 14.45/2.51 % (208708)Termination reason: Instruction limit
% 14.45/2.51 % (208708)Termination phase: Saturation
% 14.45/2.51 % (208708)Time elapsed: 0.060 s
% 14.45/2.51 % (208708)Peak memory usage: 12 MB
% 14.45/2.51 % (208708)Instructions burned: 116 (million)
% 14.45/2.51 % (208698)Instruction limit reached!
% 14.45/2.51 % (208698)------------------------------
% 14.45/2.51 % (208698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (208698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (208698)CaDiCaL version: 2.1.3
% 14.45/2.51 % (208698)Termination reason: Instruction limit
% 14.45/2.51 % (208698)Termination phase: Saturation
% 14.45/2.51 % (208698)Time elapsed: 0.177 s
% 14.45/2.51 % (208698)Peak memory usage: 13 MB
% 14.45/2.51 % (208698)Instructions burned: 228 (million)
% 14.45/2.51 % (208714)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=2277392013:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2984 on theBenchmark for (2984ds/9840Mi)
% 14.45/2.51 % (208715)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1320051856:i=421:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/421Mi)
% 14.45/2.51 % (208716)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.45/2.51 % (208716)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=2830377299:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/270Mi)
% 14.45/2.51 % (208716)Refutation not found, incomplete strategy
% 14.45/2.51 % (208716)------------------------------
% 14.45/2.51 % (208716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (208716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (208716)CaDiCaL version: 2.1.3
% 14.45/2.51 % (208716)Termination reason: Refutation not found, incomplete strategy
% 14.45/2.51 % (208716)Time elapsed: 0.007 s
% 14.45/2.51 % (208716)Peak memory usage: 12 MB
% 14.45/2.51 % (208716)Instructions burned: 8 (million)
% 14.45/2.51 % (208716)------------------------------
% 14.45/2.51 % (208716)------------------------------
% 14.45/2.51 % (208711)Instruction limit reached!
% 14.45/2.51 % (208711)------------------------------
% 14.45/2.51 % (208711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (208711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (208711)CaDiCaL version: 2.1.3
% 14.45/2.51 % (208711)Termination reason: Instruction limit
% 14.45/2.51 % (208711)Termination phase: Saturation
% 14.45/2.51 % (208711)Time elapsed: 0.110 s
% 14.45/2.51 % (208711)Peak memory usage: 13 MB
% 14.45/2.51 % (208711)Instructions burned: 271 (million)
% 14.45/2.51 % (208691)Instruction limit reached!
% 14.45/2.51 % (208691)------------------------------
% 14.45/2.51 % (208691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.45/2.51 % (208691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.45/2.51 % (208691)CaDiCaL version: 2.1.3
% 14.45/2.51 % (208691)Termination reason: Instruction limit
% 15.12/2.67 % (208691)Termination phase: Saturation
% 15.12/2.67 % (208691)Time elapsed: 0.293 s
% 15.12/2.67 % (208691)Peak memory usage: 15 MB
% 15.12/2.67 % (208691)Instructions burned: 339 (million)
% 15.12/2.67 % (208720)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1767940848:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/31Mi)
% 15.12/2.67 % (208721)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 15.12/2.67 % (208721)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 15.12/2.67 % (208721)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=3362475848:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2983 on theBenchmark for (2983ds/1440Mi)
% 15.12/2.67 % (208720)Refutation not found, incomplete strategy
% 15.12/2.67 % (208720)------------------------------
% 15.12/2.67 % (208720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.67 % (208720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.67 % (208720)CaDiCaL version: 2.1.3
% 15.12/2.67 % (208720)Termination reason: Refutation not found, incomplete strategy
% 15.12/2.67 % (208720)Time elapsed: 0.011 s
% 15.12/2.67 % (208720)Peak memory usage: 12 MB
% 15.12/2.67 % (208720)Instructions burned: 12 (million)
% 15.12/2.67 % (208720)------------------------------
% 15.12/2.67 % (208720)------------------------------
% 15.12/2.67 % (208701)Instruction limit reached!
% 15.12/2.67 % (208701)------------------------------
% 15.12/2.67 % (208701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.67 % (208701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.67 % (208701)CaDiCaL version: 2.1.3
% 15.12/2.67 % (208701)Termination reason: Instruction limit
% 15.12/2.67 % (208701)Termination phase: Saturation
% 15.12/2.67 % (208701)Time elapsed: 0.260 s
% 15.12/2.67 % (208701)Peak memory usage: 14 MB
% 15.12/2.67 % (208701)Instructions burned: 373 (million)
% 15.12/2.67 % (208722)dis+10_2_sil=128000:si=on:random_seed=487898069:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2983 on theBenchmark for (2983ds/339Mi)
% 15.12/2.67 % (208725)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2341504793:i=111:add=on:fgj=on:rtra=on:fdi=1024_2983 on theBenchmark for (2983ds/111Mi)
% 15.12/2.67 % (208726)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=2568917046:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/122Mi)
% 15.12/2.67 % (208725)Instruction limit reached!
% 15.12/2.67 % (208725)------------------------------
% 15.12/2.67 % (208725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.67 % (208725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.67 % (208725)CaDiCaL version: 2.1.3
% 15.12/2.67 % (208725)Termination reason: Instruction limit
% 15.12/2.67 % (208725)Termination phase: Saturation
% 15.12/2.67 % (208725)Time elapsed: 0.088 s
% 15.12/2.67 % (208725)Peak memory usage: 12 MB
% 15.12/2.68 % (208725)Instructions burned: 112 (million)
% 15.12/2.68 % (208730)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=472338459:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/136Mi)
% 15.12/2.68 % (208726)Instruction limit reached!
% 15.12/2.68 % (208726)------------------------------
% 15.12/2.68 % (208726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.68 % (208726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.68 % (208726)CaDiCaL version: 2.1.3
% 15.12/2.68 % (208726)Termination reason: Instruction limit
% 15.12/2.68 % (208726)Termination phase: Saturation
% 15.12/2.68 % (208726)Time elapsed: 0.100 s
% 15.12/2.68 % (208726)Peak memory usage: 13 MB
% 15.12/2.68 % (208726)Instructions burned: 122 (million)
% 15.12/2.68 % (208732)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2505819040:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/232Mi)
% 15.12/2.68 % (208715)Instruction limit reached!
% 16.47/2.91 % (208715)------------------------------
% 16.47/2.91 % (208715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.47/2.91 % (208715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/2.91 % (208715)CaDiCaL version: 2.1.3
% 16.47/2.91 % (208715)Termination reason: Instruction limit
% 16.47/2.91 % (208715)Termination phase: Saturation
% 16.47/2.91 % (208715)Time elapsed: 0.274 s
% 16.47/2.91 % (208715)Peak memory usage: 14 MB
% 16.47/2.91 % (208715)Instructions burned: 421 (million)
% 16.47/2.91 % (208734)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=2555052953:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2981 on theBenchmark for (2981ds/1254Mi)
% 16.47/2.91 % (208730)Instruction limit reached!
% 16.47/2.91 % (208730)------------------------------
% 16.47/2.91 % (208730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.47/2.91 % (208730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/2.91 % (208730)CaDiCaL version: 2.1.3
% 16.47/2.91 % (208730)Termination reason: Instruction limit
% 16.47/2.91 % (208730)Termination phase: Saturation
% 16.47/2.91 % (208730)Time elapsed: 0.101 s
% 16.47/2.91 % (208730)Peak memory usage: 12 MB
% 16.47/2.91 % (208730)Instructions burned: 137 (million)
% 16.47/2.91 % (208736)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 16.47/2.91 % (208736)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=2107589729:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2980 on theBenchmark for (2980ds/281Mi)
% 16.47/2.91 % (208722)Instruction limit reached!
% 16.47/2.91 % (208722)------------------------------
% 16.47/2.91 % (208722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.47/2.91 % (208722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/2.91 % (208722)CaDiCaL version: 2.1.3
% 16.47/2.91 % (208722)Termination reason: Instruction limit
% 16.47/2.91 % (208722)Termination phase: Saturation
% 16.47/2.91 % (208722)Time elapsed: 0.276 s
% 16.47/2.91 % (208722)Peak memory usage: 13 MB
% 16.47/2.91 % (208722)Instructions burned: 340 (million)
% 16.47/2.91 % (208709)Instruction limit reached!
% 16.47/2.91 % (208709)------------------------------
% 16.47/2.91 % (208709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.47/2.91 % (208709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/2.91 % (208709)CaDiCaL version: 2.1.3
% 16.47/2.91 % (208709)Termination reason: Instruction limit
% 16.47/2.91 % (208709)Termination phase: Saturation
% 16.47/2.91 % (208709)Time elapsed: 0.437 s
% 16.47/2.91 % (208709)Peak memory usage: 15 MB
% 16.47/2.91 % (208709)Instructions burned: 576 (million)
% 16.47/2.91 % (208738)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=376242541:i=619:add=on:rtra=on_2980 on theBenchmark for (2980ds/619Mi)
% 16.47/2.91 % (208739)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=4236104633:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/865Mi)
% 16.47/2.91 % (208732)Instruction limit reached!
% 16.47/2.91 % (208732)------------------------------
% 16.47/2.91 % (208732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.47/2.91 % (208732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/2.91 % (208732)CaDiCaL version: 2.1.3
% 16.47/2.91 % (208732)Termination reason: Instruction limit
% 16.47/2.91 % (208732)Termination phase: Saturation
% 16.47/2.91 % (208732)Time elapsed: 0.181 s
% 16.47/2.91 % (208732)Peak memory usage: 13 MB
% 16.47/2.91 % (208732)Instructions burned: 233 (million)
% 16.47/2.91 % (208744)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2272249933:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/212Mi)
% 16.47/2.91 % (208736)Instruction limit reached!
% 16.47/2.91 % (208736)------------------------------
% 16.47/2.91 % (208736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.47/2.91 % (208736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/2.91 % (208736)CaDiCaL version: 2.1.3
% 16.47/2.91 % (208736)Termination reason: Instruction limit
% 16.47/2.91 % (208736)Termination phase: Saturation
% 16.47/2.91 % (208736)Time elapsed: 0.225 s
% 19.30/3.15 % (208736)Peak memory usage: 12 MB
% 19.30/3.15 % (208736)Instructions burned: 281 (million)
% 19.30/3.15 % (208721)Instruction limit reached!
% 19.30/3.15 % (208721)------------------------------
% 19.30/3.15 % (208721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208721)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208721)Termination reason: Instruction limit
% 19.30/3.15 % (208721)Termination phase: Saturation
% 19.30/3.15 % (208721)Time elapsed: 0.509 s
% 19.30/3.15 % (208721)Peak memory usage: 21 MB
% 19.30/3.15 % (208721)Instructions burned: 1440 (million)
% 19.30/3.15 % (208746)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=922177624:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/130Mi)
% 19.30/3.15 % (208747)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3752719711:st=1.5:i=346:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/346Mi)
% 19.30/3.15 % (208744)Instruction limit reached!
% 19.30/3.15 % (208744)------------------------------
% 19.30/3.15 % (208744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208744)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208744)Termination reason: Instruction limit
% 19.30/3.15 % (208744)Termination phase: Saturation
% 19.30/3.15 % (208744)Time elapsed: 0.165 s
% 19.30/3.15 % (208744)Peak memory usage: 13 MB
% 19.30/3.15 % (208744)Instructions burned: 212 (million)
% 19.30/3.15 % (208746)Instruction limit reached!
% 19.30/3.15 % (208746)------------------------------
% 19.30/3.15 % (208746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208746)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208746)Termination reason: Instruction limit
% 19.30/3.15 % (208746)Termination phase: Saturation
% 19.30/3.15 % (208746)Time elapsed: 0.059 s
% 19.30/3.15 % (208746)Peak memory usage: 13 MB
% 19.30/3.15 % (208746)Instructions burned: 131 (million)
% 19.30/3.15 % (208750)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3502961562:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2977 on theBenchmark for (2977ds/152Mi)
% 19.30/3.15 % (208751)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3490943796:i=75:ep=R:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/75Mi)
% 19.30/3.15 % (208750)Refutation not found, incomplete strategy
% 19.30/3.15 % (208750)------------------------------
% 19.30/3.15 % (208750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208750)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208750)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.15 % (208750)Time elapsed: 0.009 s
% 19.30/3.15 % (208750)Peak memory usage: 12 MB
% 19.30/3.15 % (208750)Instructions burned: 9 (million)
% 19.30/3.15 % (208750)------------------------------
% 19.30/3.15 % (208750)------------------------------
% 19.30/3.15 % (208754)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3537213449:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/387Mi)
% 19.30/3.15 % (208751)Instruction limit reached!
% 19.30/3.15 % (208751)------------------------------
% 19.30/3.15 % (208751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208751)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208751)Termination reason: Instruction limit
% 19.30/3.15 % (208751)Termination phase: Saturation
% 19.30/3.15 % (208751)Time elapsed: 0.042 s
% 19.30/3.15 % (208751)Peak memory usage: 12 MB
% 19.30/3.15 % (208751)Instructions burned: 77 (million)
% 19.30/3.15 % (208747)Instruction limit reached!
% 19.30/3.15 % (208747)------------------------------
% 19.30/3.15 % (208747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208747)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208747)Termination reason: Instruction limit
% 19.30/3.15 % (208747)Termination phase: Saturation
% 19.30/3.15 % (208747)Time elapsed: 0.140 s
% 19.30/3.15 % (208747)Peak memory usage: 12 MB
% 19.30/3.15 % (208747)Instructions burned: 347 (million)
% 19.30/3.15 % (208756)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=3889065096:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2976 on theBenchmark for (2976ds/148Mi)
% 19.30/3.15 % (208756)Refutation not found, incomplete strategy
% 19.30/3.15 % (208756)------------------------------
% 19.30/3.15 % (208756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208756)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208756)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.15 % (208756)Time elapsed: 0.008 s
% 19.30/3.15 % (208756)Peak memory usage: 12 MB
% 19.30/3.15 % (208756)Instructions burned: 13 (million)
% 19.30/3.15 % (208756)------------------------------
% 19.30/3.15 % (208756)------------------------------
% 19.30/3.15 % (208757)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=971465266:i=161:piset=and:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/161Mi)
% 19.30/3.15 % (208759)lrs+10_1_sil=128000:si=on:random_seed=1825503953:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/888Mi)
% 19.30/3.15 % (208757)Instruction limit reached!
% 19.30/3.15 % (208757)------------------------------
% 19.30/3.15 % (208757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208757)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208757)Termination reason: Instruction limit
% 19.30/3.15 % (208757)Termination phase: Saturation
% 19.30/3.15 % (208757)Time elapsed: 0.066 s
% 19.30/3.15 % (208757)Peak memory usage: 12 MB
% 19.30/3.15 % (208757)Instructions burned: 161 (million)
% 19.30/3.15 % (208762)ott-1003_1_sil=128000:plsq=on:plsqc=1:si=on:sp=weighted_frequency:lma=off:plsqr=1,32:urr=on:cbe=off:random_seed=2202298818:i=136:add=on:ins=4:rtra=on:sup=off_2975 on theBenchmark for (2975ds/136Mi)
% 19.30/3.15 % (208762)Refutation not found, incomplete strategy
% 19.30/3.15 % (208762)------------------------------
% 19.30/3.15 % (208762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208762)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208762)Termination reason: Refutation not found, incomplete strategy
% 19.30/3.15 % (208762)Time elapsed: 0.004 s
% 19.30/3.15 % (208762)Peak memory usage: 12 MB
% 19.30/3.15 % (208762)Instructions burned: 6 (million)
% 19.30/3.15 % (208762)------------------------------
% 19.30/3.15 % (208762)------------------------------
% 19.30/3.15 % (208764)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=731585011:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 19.30/3.15 % (208764)Instruction limit reached!
% 19.30/3.15 % (208764)------------------------------
% 19.30/3.15 % (208764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208764)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208764)Termination reason: Instruction limit
% 19.30/3.15 % (208764)Termination phase: Saturation
% 19.30/3.15 % (208764)Time elapsed: 0.044 s
% 19.30/3.15 % (208764)Peak memory usage: 13 MB
% 19.30/3.15 % (208764)Instructions burned: 88 (million)
% 19.30/3.15 % (208738)Instruction limit reached!
% 19.30/3.15 % (208738)------------------------------
% 19.30/3.15 % (208738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208738)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208738)Termination reason: Instruction limit
% 19.30/3.15 % (208738)Termination phase: Saturation
% 19.30/3.15 % (208738)Time elapsed: 0.527 s
% 19.30/3.15 % (208738)Peak memory usage: 15 MB
% 19.30/3.15 % (208738)Instructions burned: 620 (million)
% 19.30/3.15 % (208766)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=73565916:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2974 on theBenchmark for (2974ds/93Mi)
% 19.30/3.15 % (208767)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2889988207:i=2186:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/2186Mi)
% 19.30/3.15 % (208766)Instruction limit reached!
% 19.30/3.15 % (208766)------------------------------
% 19.30/3.15 % (208766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208766)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208766)Termination reason: Instruction limit
% 19.30/3.15 % (208766)Termination phase: Saturation
% 19.30/3.15 % (208766)Time elapsed: 0.041 s
% 19.30/3.15 % (208766)Peak memory usage: 12 MB
% 19.30/3.15 % (208766)Instructions burned: 95 (million)
% 19.30/3.15 % (208770)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3731086573:s2a=on:i=240:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/240Mi)
% 19.30/3.15 % (208754)Instruction limit reached!
% 19.30/3.15 % (208754)------------------------------
% 19.30/3.15 % (208754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.30/3.15 % (208754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.30/3.15 % (208754)CaDiCaL version: 2.1.3
% 19.30/3.15 % (208754)Termination reason: Instruction limit
% 19.30/3.15 % (208754)Termination phase: Saturation
% 19.30/3.15 % (208754)Time elapsed: 0.313 s
% 19.30/3.15 % (208754)Peak memory usage: 13 MB
% 19.30/3.15 % (208754)Instructions burned: 387 (million)
% 19.30/3.15 % (208772)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3428624216:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/805Mi)
% 19.30/3.15 % (208739) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-208539-208739"...
% 19.30/3.15 % (208739)...printing done.
% 19.30/3.15 % (208739)Refutation found. Thanks to Tanya!
% 19.30/3.15 % SZS status Theorem for theBenchmark
% 19.30/3.15 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/3.16 % (208739)------------------------------
% 0.23/3.16 % (208739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/3.16 % (208739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/3.16 % (208739)CaDiCaL version: 2.1.3
% 0.23/3.16 % (208739)Termination reason: Refutation
% 0.23/3.16 % (208739)Time elapsed: 0.804 s
% 0.23/3.16 % (208739)Peak memory usage: 20 MB
% 0.23/3.16 % (208739)Instructions burned: 903 (million)
% 0.23/3.16 % (208539)Success in time 2.827 s
% 0.23/3.16 % Vampire exiting
%------------------------------------------------------------------------------