%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV140^5 : 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 : n006.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 08:37:53 AM UTC 2026
% Result : Theorem 3.76s 1.02s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 9
% Syntax : Number of formulae : 150 ( 49 unt; 0 typ; 8 def)
% Number of atoms : 1361 ( 121 equ; 0 cnn)
% Maximal formula atoms : 4 ( 9 avg)
% Number of connectives : 4656 ( 126 ~; 169 |; 255 &;3021 @)
% ( 8 <=>; 401 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 444 ( 444 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 43 usr; 27 con; 0-4 aty)
% ( 676 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 813 ( 0 sgn 110 !; 0 ?; 813 :)
% 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,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_10,type,
vOR: $o > $o > $o ).
thf(func_def_11,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK0: a ).
thf(func_def_17,type,
sK1: a ).
thf(func_def_18,type,
sK2: a > a > $o ).
thf(func_def_19,type,
sK3: a > a > $o ).
thf(func_def_20,type,
sK4: a > a > $o ).
thf(func_def_22,type,
sK6: a ).
thf(func_def_23,type,
sK7: a ).
thf(func_def_24,type,
sK8: a > a > $o ).
thf(func_def_25,type,
sK9: a ).
thf(func_def_26,type,
sK10: a ).
thf(func_def_27,type,
sK11: a ).
thf(func_def_28,type,
sK12: a ).
thf(func_def_29,type,
sK13: a ).
thf(func_def_30,type,
sK14: a ).
thf(func_def_31,type,
sK15: a ).
thf(func_def_32,type,
sK16: a ).
thf(func_def_33,type,
sK17: a > a > $o ).
thf(func_def_34,type,
sK18: a ).
thf(func_def_35,type,
sK19: a ).
thf(func_def_36,type,
sK20: a ).
thf(func_def_37,type,
sK21: a ).
thf(f1,conjecture,
! [X1: a > a > $o,X0: a > a > $o,X2: a,X3: a] :
( ! [X4: a > a > $o] :
( ( ! [X6: a,X5: a] :
( ( ! [X7: a > a > $o] :
( ( ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
=> ( X7 @ X8 @ X9 ) )
& ! [X9: a,X10: a,X8: a] :
( ( ( X7 @ X9 @ X10 )
& ( X7 @ X8 @ X9 ) )
=> ( X7 @ X8 @ X10 ) ) )
=> ( X7 @ X5 @ X6 ) )
| ! [X7: a > a > $o] :
( ( ! [X9: a,X8: a] :
( ( X1 @ X8 @ X9 )
=> ( X7 @ X8 @ X9 ) )
& ! [X9: a,X8: a,X10: a] :
( ( ( X7 @ X8 @ X9 )
& ( X7 @ X9 @ X10 ) )
=> ( X7 @ X8 @ X10 ) ) )
=> ( X7 @ X5 @ X6 ) ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X10: a,X6: a,X5: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X10 ) )
=> ( X4 @ X5 @ X10 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
| ( X1 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X6: a,X10: a,X5: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X10 ) )
=> ( X4 @ X5 @ X10 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM250C_pme) ).
thf(f2,negated_conjecture,
~ ! [X1: a > a > $o,X0: a > a > $o,X2: a,X3: a] :
( ! [X4: a > a > $o] :
( ( ! [X6: a,X5: a] :
( ( ! [X7: a > a > $o] :
( ( ! [X8: a,X9: a] :
( ( X0 @ X8 @ X9 )
=> ( X7 @ X8 @ X9 ) )
& ! [X9: a,X10: a,X8: a] :
( ( ( X7 @ X9 @ X10 )
& ( X7 @ X8 @ X9 ) )
=> ( X7 @ X8 @ X10 ) ) )
=> ( X7 @ X5 @ X6 ) )
| ! [X7: a > a > $o] :
( ( ! [X9: a,X8: a] :
( ( X1 @ X8 @ X9 )
=> ( X7 @ X8 @ X9 ) )
& ! [X9: a,X8: a,X10: a] :
( ( ( X7 @ X8 @ X9 )
& ( X7 @ X9 @ X10 ) )
=> ( X7 @ X8 @ X10 ) ) )
=> ( X7 @ X5 @ X6 ) ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X10: a,X6: a,X5: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X10 ) )
=> ( X4 @ X5 @ X10 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ( ( X0 @ X5 @ X6 )
| ( X1 @ X5 @ X6 ) )
=> ( X4 @ X5 @ X6 ) )
& ! [X6: a,X10: a,X5: a] :
( ( ( X4 @ X5 @ X6 )
& ( X4 @ X6 @ X10 ) )
=> ( X4 @ X5 @ X10 ) ) )
=> ( X4 @ X2 @ X3 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > $o,X1: a > a > $o,X2: a,X3: a] :
( ! [X4: a > a > $o] :
( ( ! [X5: a,X6: a] :
( ( ! [X7: a > a > $o] :
( ( ! [X8: a,X9: a] :
( ( X1 @ X8 @ X9 )
=> ( X7 @ X8 @ X9 ) )
& ! [X10: a,X11: a,X12: a] :
( ( ( X7 @ X10 @ X11 )
& ( X7 @ X12 @ X10 ) )
=> ( X7 @ X12 @ X11 ) ) )
=> ( X7 @ X6 @ X5 ) )
| ! [X13: a > a > $o] :
( ( ! [X14: a,X15: a] :
( ( X0 @ X15 @ X14 )
=> ( X13 @ X15 @ X14 ) )
& ! [X16: a,X17: a,X18: a] :
( ( ( X13 @ X17 @ X16 )
& ( X13 @ X16 @ X18 ) )
=> ( X13 @ X17 @ X18 ) ) )
=> ( X13 @ X6 @ X5 ) ) )
=> ( X4 @ X6 @ X5 ) )
& ! [X19: a,X20: a,X21: a] :
( ( ( X4 @ X21 @ X20 )
& ( X4 @ X20 @ X19 ) )
=> ( X4 @ X21 @ X19 ) ) )
=> ( X4 @ X2 @ X3 ) )
=> ! [X22: a > a > $o] :
( ( ! [X23: a,X24: a] :
( ( ( X1 @ X23 @ X24 )
| ( X0 @ X23 @ X24 ) )
=> ( X22 @ X23 @ X24 ) )
& ! [X25: a,X26: a,X27: a] :
( ( ( X22 @ X27 @ X25 )
& ( X22 @ X25 @ X26 ) )
=> ( X22 @ X27 @ X26 ) ) )
=> ( X22 @ X2 @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y10 @ Y8 )
& ( Y7 @ Y9 @ Y10 ) )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y3 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y8 @ Y10 )
& ( Y7 @ Y10 @ Y9 ) )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y2 @ Y9 @ Y8 )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y5 @ Y7 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ~ ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y10 @ Y8 )
& ( Y7 @ Y9 @ Y10 ) )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y3 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y8 @ Y10 )
& ( Y7 @ Y10 @ Y9 ) )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y2 @ Y9 @ Y8 )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y5 @ Y7 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y10 @ Y8 )
& ( Y7 @ Y9 @ Y10 ) )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y3 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y8 @ Y10 )
& ( Y7 @ Y10 @ Y9 ) )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y2 @ Y9 @ Y8 )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y5 @ Y7 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y6 @ Y7 )
& ( Y4 @ Y5 @ Y6 ) )
=> ( Y4 @ Y5 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y10 @ Y8 )
& ( Y7 @ Y9 @ Y10 ) )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y3 @ Y8 @ Y9 )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y7: a > a > $o] :
( ( ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( !! @ a
@ ^ [Y10: a] :
( ( ( Y7 @ Y8 @ Y10 )
& ( Y7 @ Y10 @ Y9 ) )
=> ( Y7 @ Y8 @ Y9 ) ) ) ) )
& ( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( Y2 @ Y9 @ Y8 )
=> ( Y7 @ Y9 @ Y8 ) ) ) ) )
=> ( Y7 @ Y5 @ Y6 ) ) ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y6 )
& ( Y4 @ Y5 @ Y7 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
| ( Y2 @ Y6 @ Y5 ) )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y1 @ Y0 ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f8]) ).
thf(f12,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y6: a > a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y6 @ Y9 @ Y7 )
& ( Y6 @ Y8 @ Y9 ) )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y2 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y6: a > a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y6 @ Y7 @ Y9 )
& ( Y6 @ Y9 @ Y8 ) )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y1 @ Y8 @ Y7 )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y0 @ sK0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
& ( Y3 @ Y4 @ Y6 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
| ( Y1 @ Y5 @ Y4 ) )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 @ sK0 ) ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f13,plain,
( $false
= ( ^ [Y0: a] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y5 @ Y6 )
& ( Y3 @ Y4 @ Y5 ) )
=> ( Y3 @ Y4 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y6: a > a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y6 @ Y9 @ Y7 )
& ( Y6 @ Y8 @ Y9 ) )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y2 @ Y7 @ Y8 )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y6: a > a > $o] :
( ( ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( !! @ a
@ ^ [Y9: a] :
( ( ( Y6 @ Y7 @ Y9 )
& ( Y6 @ Y9 @ Y8 ) )
=> ( Y6 @ Y7 @ Y8 ) ) ) ) )
& ( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( Y1 @ Y8 @ Y7 )
=> ( Y6 @ Y8 @ Y7 ) ) ) ) )
=> ( Y6 @ Y4 @ Y5 ) ) ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y0 @ sK0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y5 )
& ( Y3 @ Y4 @ Y6 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
| ( Y1 @ Y5 @ Y4 ) )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
=> ( Y3 @ Y0 @ sK0 ) ) ) ) ) )
@ sK1 ) ),
inference(sigma_proxy_clausification,[],[f12]) ).
thf(f14,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y5: a > a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y5 @ Y8 @ Y6 )
& ( Y5 @ Y7 @ Y8 ) )
=> ( Y5 @ Y7 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y5: a > a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y5 @ Y6 @ Y8 )
& ( Y5 @ Y8 @ Y7 ) )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y5 @ Y7 @ Y6 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ sK1 @ sK0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
| ( Y0 @ Y4 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ sK1 @ sK0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f15,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y4 @ Y5 )
& ( Y2 @ Y3 @ Y4 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y5: a > a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y5 @ Y8 @ Y6 )
& ( Y5 @ Y7 @ Y8 ) )
=> ( Y5 @ Y7 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y1 @ Y6 @ Y7 )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y5: a > a > $o] :
( ( ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( !! @ a
@ ^ [Y8: a] :
( ( ( Y5 @ Y6 @ Y8 )
& ( Y5 @ Y8 @ Y7 ) )
=> ( Y5 @ Y6 @ Y7 ) ) ) ) )
& ( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( Y0 @ Y7 @ Y6 )
=> ( Y5 @ Y7 @ Y6 ) ) ) ) )
=> ( Y5 @ Y3 @ Y4 ) ) ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ sK1 @ sK0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y4 )
& ( Y2 @ Y3 @ Y5 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
| ( Y0 @ Y4 @ Y3 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ sK1 @ sK0 ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f14]) ).
thf(f16,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y5 )
& ( Y4 @ Y6 @ Y7 ) )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ sK1 @ sK0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y2 @ Y4 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ sK1 @ sK0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f15]) ).
thf(f17,plain,
( ( ^ [Y0: a > a > $o] :
( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y3 @ Y4 )
& ( Y1 @ Y2 @ Y3 ) )
=> ( Y1 @ Y2 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y7 @ Y5 )
& ( Y4 @ Y6 @ Y7 ) )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( Y0 @ Y5 @ Y6 )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y4: a > a > $o] :
( ( ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( !! @ a
@ ^ [Y7: a] :
( ( ( Y4 @ Y5 @ Y7 )
& ( Y4 @ Y7 @ Y6 ) )
=> ( Y4 @ Y5 @ Y6 ) ) ) ) )
& ( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( sK2 @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) ) ) )
=> ( Y4 @ Y2 @ Y3 ) ) ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ sK1 @ sK0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y3 )
& ( Y1 @ Y2 @ Y4 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
| ( sK2 @ Y3 @ Y2 ) )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ sK1 @ sK0 ) ) ) )
@ sK3 )
= $false ),
inference(sigma_proxy_clausification,[],[f16]) ).
thf(f18,plain,
( $false
= ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y4 )
& ( Y3 @ Y5 @ Y6 ) )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK3 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK1 @ sK0 ) ) )
=> ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK1 @ sK0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f17]) ).
thf(f19,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK1 @ sK0 ) ) ) ),
inference(imp_proxy_clausification,[],[f18]) ).
thf(f20,plain,
( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y4 )
& ( Y3 @ Y5 @ Y6 ) )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK3 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK1 @ sK0 ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f18]) ).
thf(f21,plain,
( $false
= ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y2 )
& ( Y0 @ Y1 @ Y3 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK3 @ Y2 @ Y1 )
| ( sK2 @ Y2 @ Y1 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK1 @ sK0 ) )
@ sK4 ) ),
inference(sigma_proxy_clausification,[],[f19]) ).
thf(f22,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y1 )
& ( sK4 @ Y0 @ Y2 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) )
=> ( sK4 @ sK1 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f21]) ).
thf(f23,plain,
( $false
= ( sK4 @ sK1 @ sK0 ) ),
inference(imp_proxy_clausification,[],[f22]) ).
thf(f24,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y1 )
& ( sK4 @ Y0 @ Y2 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) )
= $true ),
inference(imp_proxy_clausification,[],[f22]) ).
thf(f29,plain,
! [X1: a > a > $o] :
( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y2 @ Y3 )
& ( Y0 @ Y1 @ Y2 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y6 @ Y4 )
& ( Y3 @ Y5 @ Y6 ) )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK3 @ Y4 @ Y5 )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y3: a > a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( !! @ a
@ ^ [Y6: a] :
( ( ( Y3 @ Y4 @ Y6 )
& ( Y3 @ Y6 @ Y5 ) )
=> ( Y3 @ Y4 @ Y5 ) ) ) ) )
& ( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( sK2 @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) ) ) )
=> ( Y3 @ Y1 @ Y2 ) ) ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK1 @ sK0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f20]) ).
thf(f30,plain,
! [X1: a > a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( X1 @ Y1 @ Y2 )
& ( X1 @ Y0 @ Y1 ) )
=> ( X1 @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( X1 @ Y0 @ Y1 ) ) ) ) )
=> ( X1 @ sK1 @ sK0 ) )
= $true ),
inference(beta-eta_normalization,[],[f29]) ).
thf(f31,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f24]) ).
thf(f32,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y1 )
& ( sK4 @ Y0 @ Y2 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f24]) ).
thf(f34,plain,
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
=> $false ) ),
inference(superposition,[],[f30,f23]) ).
thf(f35,plain,
( ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f34]) ).
thf(f36,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK3 @ Y1 @ Y0 )
| ( sK2 @ Y1 @ Y0 ) )
=> ( sK4 @ Y1 @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f31]) ).
thf(f37,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK3 @ Y0 @ X1 )
| ( sK2 @ Y0 @ X1 ) )
=> ( sK4 @ Y0 @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK3 @ Y0 @ X1 )
| ( sK2 @ Y0 @ X1 ) )
=> ( sK4 @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X2: a,X1: a] :
( ( ( ( sK3 @ X2 @ X1 )
| ( sK2 @ X2 @ X1 ) )
=> ( sK4 @ X2 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f43,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y1 )
& ( sK4 @ Y0 @ Y2 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f32]) ).
thf(f44,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y1 @ Y0 )
& ( sK4 @ X1 @ Y1 ) )
=> ( sK4 @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f46,plain,
! [X2: a,X1: a] :
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y1 @ Y0 )
& ( sK4 @ X1 @ Y1 ) )
=> ( sK4 @ X1 @ Y0 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f44]) ).
thf(f47,plain,
! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( ( ( sK4 @ Y0 @ X2 )
& ( sK4 @ X1 @ Y0 ) )
=> ( sK4 @ X1 @ X2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f54,plain,
! [X2: a,X3: a,X1: a] :
( ( ^ [Y0: a] :
( ( ( sK4 @ Y0 @ X2 )
& ( sK4 @ X1 @ Y0 ) )
=> ( sK4 @ X1 @ X2 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f47]) ).
thf(f55,plain,
! [X2: a,X3: a,X1: a] :
( ( ( ( sK4 @ X3 @ X2 )
& ( sK4 @ X1 @ X3 ) )
=> ( sK4 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f89,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f35]) ).
thf(f97,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ Y2 ) ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f89]) ).
thf(f99,definition,
( spl5_1
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ Y2 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
thf(f101,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ Y2 ) ) ) ) )
= $false )
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f103,definition,
( spl5_2
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
thf(f105,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) )
= $false )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f106,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f97,f103,f99]) ).
thf(f116,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y5 @ Y3 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK3 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y5 )
& ( Y2 @ Y5 @ Y4 ) )
=> ( Y2 @ Y3 @ Y4 ) ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( sK2 @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
=> ( sK4 @ Y0 @ Y1 ) ) )
@ sK6 ) )
| ~ spl5_2 ),
inference(sigma_proxy_clausification,[],[f105]) ).
thf(f117,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y2 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ sK6 @ Y0 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ sK6 @ Y0 ) ) ) )
=> ( sK4 @ sK6 @ Y0 ) ) ) )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f118,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y4 @ Y2 )
& ( Y1 @ Y3 @ Y4 ) )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
=> ( Y1 @ sK6 @ Y0 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y1: a > a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( ( Y1 @ Y2 @ Y4 )
& ( Y1 @ Y4 @ Y3 ) )
=> ( Y1 @ Y2 @ Y3 ) ) ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK2 @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ sK6 @ Y0 ) ) ) )
=> ( sK4 @ sK6 @ Y0 ) )
@ sK7 ) )
| ~ spl5_2 ),
inference(sigma_proxy_clausification,[],[f117]) ).
thf(f119,plain,
( ( ( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) ) )
=> ( sK4 @ sK6 @ sK7 ) )
= $false )
| ~ spl5_2 ),
inference(beta-eta_normalization,[],[f118]) ).
thf(f120,plain,
( ( ( sK4 @ sK6 @ sK7 )
= $false )
| ~ spl5_2 ),
inference(imp_proxy_clausification,[],[f119]) ).
thf(f121,plain,
( ( $true
= ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
| ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) ) ) )
| ~ spl5_2 ),
inference(imp_proxy_clausification,[],[f119]) ).
thf(f136,plain,
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
= $true )
| ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
= $true )
| ~ spl5_2 ),
inference(or_proxy_clausification,[],[f121]) ).
thf(f138,definition,
( spl5_3
<=> ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
thf(f140,plain,
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
= $true )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f138]) ).
thf(f142,definition,
( spl5_4
<=> ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
thf(f144,plain,
( ( ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) ) )
= $true )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f145,plain,
( spl5_3
| spl5_4
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f136,f103,f142,f138]) ).
thf(f153,plain,
( ! [X1: a > a > $o] :
( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y3 )
& ( Y0 @ Y3 @ Y2 ) )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK2 @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) )
@ X1 )
= $true )
| ~ spl5_3 ),
inference(pi_proxy_clausification,[],[f140]) ).
thf(f154,plain,
( ! [X1: a > a > $o] :
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( X1 @ Y0 @ Y2 )
& ( X1 @ Y2 @ Y1 ) )
=> ( X1 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( X1 @ Y1 @ Y0 ) ) ) ) )
=> ( X1 @ sK6 @ sK7 ) )
= $true )
| ~ spl5_3 ),
inference(beta-eta_normalization,[],[f153]) ).
thf(f165,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y0 @ Y2 )
& ( sK4 @ Y2 @ Y1 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) )
=> $false )
= $true )
| ~ spl5_2
| ~ spl5_3 ),
inference(superposition,[],[f154,f120]) ).
thf(f166,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y0 @ Y2 )
& ( sK4 @ Y2 @ Y1 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) ) ) )
| ~ spl5_2
| ~ spl5_3 ),
inference(boolean_simplification,[],[f165]) ).
thf(f187,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y0 @ Y2 )
& ( sK4 @ Y2 @ Y1 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl5_2
| ~ spl5_3 ),
inference(not_proxy_clausification,[],[f166]) ).
thf(f200,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y0 @ Y2 )
& ( sK4 @ Y2 @ Y1 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ Y0 ) ) ) )
= $false )
| ~ spl5_2
| ~ spl5_3 ),
inference(and_proxy_clausification,[],[f187]) ).
thf(f202,definition,
( spl5_5
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y0 @ Y2 )
& ( sK4 @ Y2 @ Y1 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
thf(f204,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y0 @ Y2 )
& ( sK4 @ Y2 @ Y1 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
= $false )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f206,definition,
( spl5_6
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ Y0 ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
thf(f208,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ Y0 ) ) ) )
= $false )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f218,plain,
( ! [X1: a > a > $o] :
( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y3 @ Y1 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK3 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) )
=> ( Y0 @ sK6 @ sK7 ) )
@ X1 )
= $true )
| ~ spl5_4 ),
inference(pi_proxy_clausification,[],[f144]) ).
thf(f219,plain,
( ! [X1: a > a > $o] :
( $true
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( X1 @ Y2 @ Y0 )
& ( X1 @ Y1 @ Y2 ) )
=> ( X1 @ Y1 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( X1 @ Y0 @ Y1 ) ) ) ) )
=> ( X1 @ sK6 @ sK7 ) ) )
| ~ spl5_4 ),
inference(beta-eta_normalization,[],[f218]) ).
thf(f225,plain,
( ( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y0 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
=> $false )
= $true )
| ~ spl5_2
| ~ spl5_4 ),
inference(superposition,[],[f219,f120]) ).
thf(f230,plain,
( ( $true
= ( ~ ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y0 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl5_2
| ~ spl5_4 ),
inference(boolean_simplification,[],[f225]) ).
thf(f234,plain,
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y0 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl5_2
| ~ spl5_4 ),
inference(not_proxy_clausification,[],[f230]) ).
thf(f237,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y0 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
| ~ spl5_2
| ~ spl5_4 ),
inference(and_proxy_clausification,[],[f234]) ).
thf(f239,definition,
( spl5_7
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y0 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
thf(f241,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y0 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) ) ) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f239]) ).
thf(f243,definition,
( spl5_8
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
thf(f245,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ Y1 ) ) ) ) )
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f243]) ).
thf(f252,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y1 @ Y2 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ Y2 ) ) ) )
@ sK9 ) )
| ~ spl5_1 ),
inference(sigma_proxy_clausification,[],[f101]) ).
thf(f253,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK4 @ sK9 @ Y0 ) )
=> ( sK4 @ sK9 @ Y1 ) ) ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f252]) ).
thf(f255,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y0 @ Y1 )
& ( sK4 @ sK9 @ Y0 ) )
=> ( sK4 @ sK9 @ Y1 ) ) )
@ sK10 ) )
| ~ spl5_1 ),
inference(sigma_proxy_clausification,[],[f253]) ).
thf(f256,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK4 @ sK10 @ Y0 )
& ( sK4 @ sK9 @ sK10 ) )
=> ( sK4 @ sK9 @ Y0 ) ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f255]) ).
thf(f265,plain,
( ( ( ^ [Y0: a] :
( ( ( sK4 @ sK10 @ Y0 )
& ( sK4 @ sK9 @ sK10 ) )
=> ( sK4 @ sK9 @ Y0 ) )
@ sK11 )
= $false )
| ~ spl5_1 ),
inference(sigma_proxy_clausification,[],[f256]) ).
thf(f266,plain,
( ( $false
= ( ( ( sK4 @ sK10 @ sK11 )
& ( sK4 @ sK9 @ sK10 ) )
=> ( sK4 @ sK9 @ sK11 ) ) )
| ~ spl5_1 ),
inference(beta-eta_normalization,[],[f265]) ).
thf(f267,plain,
( ( $false = $true )
| ~ spl5_1 ),
inference(forward_demodulation,[],[f266,f55]) ).
thf(f268,plain,
( $false
| ~ spl5_1 ),
inference(trivial_inequality_removal,[],[f267]) ).
thf(f269,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f268]) ).
thf(f398,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y2 @ Y0 )
& ( sK4 @ Y1 @ Y2 ) )
=> ( sK4 @ Y1 @ Y0 ) ) ) )
@ sK12 ) )
| ~ spl5_7 ),
inference(sigma_proxy_clausification,[],[f241]) ).
thf(f399,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y1 @ sK12 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ sK12 ) ) ) ) )
| ~ spl5_7 ),
inference(beta-eta_normalization,[],[f398]) ).
thf(f400,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ Y1 @ sK12 )
& ( sK4 @ Y0 @ Y1 ) )
=> ( sK4 @ Y0 @ sK12 ) ) )
@ sK13 ) )
| ~ spl5_7 ),
inference(sigma_proxy_clausification,[],[f399]) ).
thf(f401,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK4 @ Y0 @ sK12 )
& ( sK4 @ sK13 @ Y0 ) )
=> ( sK4 @ sK13 @ sK12 ) ) ) )
| ~ spl5_7 ),
inference(beta-eta_normalization,[],[f400]) ).
thf(f402,plain,
( ( $false = $true )
| ~ spl5_7 ),
inference(forward_demodulation,[],[f401,f47]) ).
thf(f403,plain,
( $false
| ~ spl5_7 ),
inference(trivial_inequality_removal,[],[f402]) ).
thf(f404,plain,
~ spl5_7,
inference(avatar_contradiction_clause,[],[f403]) ).
thf(f409,plain,
( spl5_7
| spl5_8
| ~ spl5_2
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f237,f142,f103,f243,f239]) ).
thf(f412,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK3 @ Y0 @ Y1 )
=> ( sK4 @ Y0 @ Y1 ) ) )
@ sK14 ) )
| ~ spl5_8 ),
inference(sigma_proxy_clausification,[],[f245]) ).
thf(f413,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK4 @ sK14 @ Y0 ) ) )
= $false )
| ~ spl5_8 ),
inference(beta-eta_normalization,[],[f412]) ).
thf(f414,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK3 @ sK14 @ Y0 )
=> ( sK4 @ sK14 @ Y0 ) )
@ sK15 ) )
| ~ spl5_8 ),
inference(sigma_proxy_clausification,[],[f413]) ).
thf(f415,plain,
( ( ( ( sK3 @ sK14 @ sK15 )
=> ( sK4 @ sK14 @ sK15 ) )
= $false )
| ~ spl5_8 ),
inference(beta-eta_normalization,[],[f414]) ).
thf(f416,plain,
( ( $false
= ( sK4 @ sK14 @ sK15 ) )
| ~ spl5_8 ),
inference(imp_proxy_clausification,[],[f415]) ).
thf(f417,plain,
( ( ( sK3 @ sK14 @ sK15 )
= $true )
| ~ spl5_8 ),
inference(imp_proxy_clausification,[],[f415]) ).
thf(f424,plain,
( ( ( ( ( sK3 @ sK14 @ sK15 )
| ( sK2 @ sK14 @ sK15 ) )
=> $false )
= $true )
| ~ spl5_8 ),
inference(superposition,[],[f39,f416]) ).
thf(f429,plain,
( ( ( ~ ( ( sK3 @ sK14 @ sK15 )
| ( sK2 @ sK14 @ sK15 ) ) )
= $true )
| ~ spl5_8 ),
inference(boolean_simplification,[],[f424]) ).
thf(f432,plain,
( ( ( ~ ( $true
| ( sK2 @ sK14 @ sK15 ) ) )
= $true )
| ~ spl5_8 ),
inference(forward_demodulation,[],[f429,f417]) ).
thf(f433,plain,
( ( ( ~ $true ) = $true )
| ~ spl5_8 ),
inference(boolean_simplification,[],[f432]) ).
thf(f434,plain,
( ( $false = $true )
| ~ spl5_8 ),
inference(boolean_simplification,[],[f433]) ).
thf(f435,plain,
( $false
| ~ spl5_8 ),
inference(trivial_inequality_removal,[],[f434]) ).
thf(f436,plain,
~ spl5_8,
inference(avatar_contradiction_clause,[],[f435]) ).
thf(f466,plain,
( spl5_6
| spl5_5
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f200,f138,f103,f202,f206]) ).
thf(f491,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK2 @ Y1 @ Y0 )
=> ( sK4 @ Y1 @ Y0 ) ) )
@ sK16 ) )
| ~ spl5_6 ),
inference(sigma_proxy_clausification,[],[f208]) ).
thf(f492,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK2 @ Y0 @ sK16 )
=> ( sK4 @ Y0 @ sK16 ) ) ) )
| ~ spl5_6 ),
inference(beta-eta_normalization,[],[f491]) ).
thf(f495,plain,
( ( ( ^ [Y0: a] :
( ( sK2 @ Y0 @ sK16 )
=> ( sK4 @ Y0 @ sK16 ) )
@ sK18 )
= $false )
| ~ spl5_6 ),
inference(sigma_proxy_clausification,[],[f492]) ).
thf(f496,plain,
( ( $false
= ( ( sK2 @ sK18 @ sK16 )
=> ( sK4 @ sK18 @ sK16 ) ) )
| ~ spl5_6 ),
inference(beta-eta_normalization,[],[f495]) ).
thf(f506,plain,
( ( $false
= ( sK4 @ sK18 @ sK16 ) )
| ~ spl5_6 ),
inference(imp_proxy_clausification,[],[f496]) ).
thf(f507,plain,
( ( ( sK2 @ sK18 @ sK16 )
= $true )
| ~ spl5_6 ),
inference(imp_proxy_clausification,[],[f496]) ).
thf(f514,plain,
( ( ( ( ( sK3 @ sK18 @ sK16 )
| ( sK2 @ sK18 @ sK16 ) )
=> $false )
= $true )
| ~ spl5_6 ),
inference(superposition,[],[f39,f506]) ).
thf(f519,plain,
( ( $true
= ( ~ ( ( sK3 @ sK18 @ sK16 )
| ( sK2 @ sK18 @ sK16 ) ) ) )
| ~ spl5_6 ),
inference(boolean_simplification,[],[f514]) ).
thf(f524,plain,
( ( $true
= ( ~ ( ( sK3 @ sK18 @ sK16 )
| $true ) ) )
| ~ spl5_6 ),
inference(forward_demodulation,[],[f519,f507]) ).
thf(f525,plain,
( ( ( ~ $true ) = $true )
| ~ spl5_6 ),
inference(boolean_simplification,[],[f524]) ).
thf(f526,plain,
( ( $false = $true )
| ~ spl5_6 ),
inference(boolean_simplification,[],[f525]) ).
thf(f527,plain,
( $false
| ~ spl5_6 ),
inference(trivial_inequality_removal,[],[f526]) ).
thf(f528,plain,
~ spl5_6,
inference(avatar_contradiction_clause,[],[f527]) ).
thf(f563,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK4 @ Y0 @ Y2 )
& ( sK4 @ Y2 @ Y1 ) )
=> ( sK4 @ Y0 @ Y1 ) ) ) )
@ sK19 ) )
| ~ spl5_5 ),
inference(sigma_proxy_clausification,[],[f204]) ).
thf(f564,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ sK19 @ Y1 )
& ( sK4 @ Y1 @ Y0 ) )
=> ( sK4 @ sK19 @ Y0 ) ) ) )
= $false )
| ~ spl5_5 ),
inference(beta-eta_normalization,[],[f563]) ).
thf(f565,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK4 @ sK19 @ Y1 )
& ( sK4 @ Y1 @ Y0 ) )
=> ( sK4 @ sK19 @ Y0 ) ) )
@ sK20 )
= $false )
| ~ spl5_5 ),
inference(sigma_proxy_clausification,[],[f564]) ).
thf(f566,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK4 @ sK19 @ Y0 )
& ( sK4 @ Y0 @ sK20 ) )
=> ( sK4 @ sK19 @ sK20 ) ) ) )
| ~ spl5_5 ),
inference(beta-eta_normalization,[],[f565]) ).
thf(f567,plain,
( ( $false
= ( ^ [Y0: a] :
( ( ( sK4 @ sK19 @ Y0 )
& ( sK4 @ Y0 @ sK20 ) )
=> ( sK4 @ sK19 @ sK20 ) )
@ sK21 ) )
| ~ spl5_5 ),
inference(sigma_proxy_clausification,[],[f566]) ).
thf(f568,plain,
( ( $false
= ( ( ( sK4 @ sK19 @ sK21 )
& ( sK4 @ sK21 @ sK20 ) )
=> ( sK4 @ sK19 @ sK20 ) ) )
| ~ spl5_5 ),
inference(beta-eta_normalization,[],[f567]) ).
thf(f570,plain,
( ( ( ( sK4 @ sK19 @ sK21 )
& ( sK4 @ sK21 @ sK20 ) )
= $true )
| ~ spl5_5 ),
inference(imp_proxy_clausification,[],[f568]) ).
thf(f601,plain,
( ( ( sK4 @ sK19 @ sK21 )
= $true )
| ~ spl5_5 ),
inference(and_proxy_clausification,[],[f570]) ).
thf(f625,plain,
( ( ( ( $true
& ( sK4 @ sK21 @ sK20 ) )
=> ( sK4 @ sK19 @ sK20 ) )
= $false )
| ~ spl5_5 ),
inference(superposition,[],[f568,f601]) ).
thf(f629,plain,
( ! [X0: a] :
( $true
= ( ( ( sK4 @ sK21 @ X0 )
& $true )
=> ( sK4 @ sK19 @ X0 ) ) )
| ~ spl5_5 ),
inference(superposition,[],[f55,f601]) ).
thf(f632,plain,
( ! [X0: a] :
( ( ( sK4 @ sK21 @ X0 )
=> ( sK4 @ sK19 @ X0 ) )
= $true )
| ~ spl5_5 ),
inference(boolean_simplification,[],[f629]) ).
thf(f639,plain,
( ( $false
= ( ( sK4 @ sK21 @ sK20 )
=> ( sK4 @ sK19 @ sK20 ) ) )
| ~ spl5_5 ),
inference(boolean_simplification,[],[f625]) ).
thf(f640,plain,
( ( $false = $true )
| ~ spl5_5 ),
inference(forward_demodulation,[],[f639,f632]) ).
thf(f641,plain,
( $false
| ~ spl5_5 ),
inference(trivial_inequality_removal,[],[f640]) ).
thf(f642,plain,
~ spl5_5,
inference(avatar_contradiction_clause,[],[f641]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f106]) ).
cnf(s2,plain,
( ~ spl5_2
| spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f145]) ).
cnf(s5,plain,
~ spl5_1,
inference(sat_conversion,[],[f269]) ).
cnf(s6,plain,
~ spl5_7,
inference(sat_conversion,[],[f404]) ).
cnf(s7,plain,
( ~ spl5_2
| ~ spl5_4
| spl5_7
| spl5_8 ),
inference(sat_conversion,[],[f409]) ).
cnf(s8,plain,
~ spl5_8,
inference(sat_conversion,[],[f436]) ).
cnf(s10,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f466]) ).
cnf(s11,plain,
~ spl5_6,
inference(sat_conversion,[],[f528]) ).
cnf(s12,plain,
~ spl5_5,
inference(sat_conversion,[],[f642]) ).
cnf(s13,plain,
( ~ spl5_2
| ~ spl5_3 ),
inference(rat,[],[s10,s11,s12]) ).
cnf(s14,plain,
( ~ spl5_2
| ~ spl5_4
| spl5_7 ),
inference(rat,[],[s7,s8]) ).
cnf(s17,plain,
spl5_2,
inference(rat,[],[s1,s5]) ).
cnf(s18,plain,
~ spl5_3,
inference(rat,[],[s13,s17]) ).
cnf(s19,plain,
~ spl5_4,
inference(rat,[],[s14,s6,s17]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s2,s19,s18,s17]) ).
thf(f643,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV140^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n006.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 15:15:54 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.27 Running higher-order theorem proving
% 0.26/0.29 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
% 1.57/0.59 % (850984)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.57/0.59 % (850992)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=1805087959: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)
% 1.57/0.59 % (850990)lrs+10_16_si=on:nwc=1.5:random_seed=1464991659:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.57/0.59 % (850989)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1003114384:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.57/0.59 % (850991)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1561109216:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.57/0.59 % (850991)Instruction limit reached!
% 1.57/0.59 % (850991)------------------------------
% 1.57/0.59 % (850991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.59 % (850991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.59 % (850991)CaDiCaL version: 2.1.3
% 1.57/0.59 % (850991)Termination reason: Instruction limit
% 1.57/0.59 % (850991)Termination phase: Property scanning
% 1.57/0.59 % (850991)Time elapsed: 0.003 s
% 1.57/0.59 % (850991)Peak memory usage: 10 MB
% 1.57/0.59 % (850991)Instructions burned: 3 (million)
% 1.57/0.59 % (850995)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.57/0.59 % (850995)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
% 1.57/0.59 % (850993)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1928683873:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.57/0.59 % (850990)Instruction limit reached!
% 1.57/0.59 % (850990)------------------------------
% 1.57/0.59 % (850990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.59 % (850990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.59 % (850990)CaDiCaL version: 2.1.3
% 1.57/0.59 % (850990)Termination reason: Instruction limit
% 1.57/0.59 % (850990)Termination phase: Saturation
% 1.57/0.59 % (850990)Time elapsed: 0.016 s
% 1.57/0.59 % (850990)Peak memory usage: 12 MB
% 1.57/0.59 % (850990)Instructions burned: 18 (million)
% 1.57/0.59 % (850994)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=477369918:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.57/0.59 % (850995)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=792055197:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.57/0.59 % (850993)Instruction limit reached!
% 1.57/0.59 % (850993)------------------------------
% 1.57/0.59 % (850993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.59 % (850993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.59 % (850993)CaDiCaL version: 2.1.3
% 1.57/0.59 % (850993)Termination reason: Instruction limit
% 1.57/0.59 % (850993)Termination phase: Saturation
% 1.57/0.59 % (850993)Time elapsed: 0.024 s
% 1.57/0.59 % (850993)Peak memory usage: 12 MB
% 1.57/0.59 % (850993)Instructions burned: 24 (million)
% 1.57/0.59 % (851000)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3059821474:i=2:hud=10:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.57/0.59 % (851000)Instruction limit reached!
% 1.57/0.59 % (851000)------------------------------
% 1.57/0.59 % (851000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.59 % (851000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.59 % (851000)CaDiCaL version: 2.1.3
% 1.57/0.59 % (851000)Termination reason: Instruction limit
% 1.57/0.59 % (851000)Termination phase: Property scanning
% 1.57/0.59 % (851000)Time elapsed: 0.003 s
% 1.57/0.59 % (851000)Peak memory usage: 10 MB
% 1.57/0.59 % (851000)Instructions burned: 3 (million)
% 1.57/0.59 % (851005)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.57/0.59 % (851005)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=174371444:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.57/0.64 % (851003)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2554878186:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/5Mi)
% 1.57/0.64 % (851005)Instruction limit reached!
% 1.57/0.64 % (851005)------------------------------
% 1.57/0.64 % (851005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.64 % (851005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.64 % (851005)CaDiCaL version: 2.1.3
% 1.57/0.64 % (851005)Termination reason: Instruction limit
% 1.57/0.64 % (851005)Termination phase: Saturation
% 1.57/0.64 % (851005)Time elapsed: 0.007 s
% 1.57/0.64 % (851005)Peak memory usage: 12 MB
% 1.57/0.64 % (851005)Instructions burned: 8 (million)
% 1.57/0.64 % (850989)Instruction limit reached!
% 1.57/0.64 % (850989)------------------------------
% 1.57/0.64 % (850989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.64 % (850989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.64 % (850989)CaDiCaL version: 2.1.3
% 1.57/0.64 % (850989)Termination reason: Instruction limit
% 1.57/0.64 % (850989)Termination phase: Saturation
% 1.57/0.64 % (850989)Time elapsed: 0.077 s
% 1.57/0.64 % (850989)Peak memory usage: 13 MB
% 1.57/0.64 % (850989)Instructions burned: 88 (million)
% 1.57/0.64 % (850994)Instruction limit reached!
% 1.57/0.64 % (850994)------------------------------
% 1.57/0.64 % (850994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.64 % (850994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.64 % (850994)CaDiCaL version: 2.1.3
% 1.57/0.64 % (850994)Termination reason: Instruction limit
% 1.57/0.64 % (850994)Termination phase: Saturation
% 1.57/0.64 % (850994)Time elapsed: 0.063 s
% 1.57/0.64 % (850994)Peak memory usage: 13 MB
% 1.57/0.64 % (850994)Instructions burned: 76 (million)
% 1.57/0.64 % (851003)Instruction limit reached!
% 1.57/0.64 % (851003)------------------------------
% 1.57/0.64 % (851003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.64 % (851003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.64 % (851003)CaDiCaL version: 2.1.3
% 1.57/0.64 % (851003)Termination reason: Instruction limit
% 1.57/0.64 % (851003)Termination phase: Saturation
% 1.57/0.64 % (851003)Time elapsed: 0.005 s
% 1.57/0.64 % (851003)Peak memory usage: 11 MB
% 1.57/0.64 % (851003)Instructions burned: 5 (million)
% 1.57/0.64 % (851007)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3394835992:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.57/0.64 % (851007)Instruction limit reached!
% 1.57/0.64 % (851007)------------------------------
% 1.57/0.64 % (851007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.64 % (851007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.64 % (851007)CaDiCaL version: 2.1.3
% 1.57/0.64 % (851007)Termination reason: Instruction limit
% 1.57/0.64 % (851007)Termination phase: Saturation
% 1.57/0.64 % (851007)Time elapsed: 0.012 s
% 1.57/0.64 % (851007)Peak memory usage: 12 MB
% 1.57/0.64 % (851007)Instructions burned: 12 (million)
% 1.57/0.64 % (851010)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
% 1.57/0.64 % (851010)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.57/0.64 % (851013)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.57/0.64 % (851011)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=3410587620:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.57/0.64 % (851010)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1278584031:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.57/0.64 % (851012)lrs+10_1_si=on:cs=on:random_seed=1980308508:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.57/0.70 % (851013)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=2006566595:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.57/0.70 % (851013)Instruction limit reached!
% 1.57/0.70 % (851013)------------------------------
% 1.57/0.70 % (851013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (851013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (851013)CaDiCaL version: 2.1.3
% 1.57/0.70 % (851013)Termination reason: Instruction limit
% 1.57/0.70 % (851013)Termination phase: Clausification
% 1.57/0.70 % (851013)Time elapsed: 0.002 s
% 1.57/0.70 % (851013)Peak memory usage: 10 MB
% 1.57/0.70 % (851013)Instructions burned: 2 (million)
% 1.57/0.70 % (851012)Instruction limit reached!
% 1.57/0.70 % (851012)------------------------------
% 1.57/0.70 % (851012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (851012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (851012)CaDiCaL version: 2.1.3
% 1.57/0.70 % (851012)Termination reason: Instruction limit
% 1.57/0.70 % (851012)Termination phase: Saturation
% 1.57/0.70 % (851012)Time elapsed: 0.007 s
% 1.57/0.70 % (851012)Peak memory usage: 12 MB
% 1.57/0.70 % (851012)Instructions burned: 8 (million)
% 1.57/0.70 % (851010)Instruction limit reached!
% 1.57/0.70 % (851010)------------------------------
% 1.57/0.70 % (851010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (851010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (851010)CaDiCaL version: 2.1.3
% 1.57/0.70 % (851010)Termination reason: Instruction limit
% 1.57/0.70 % (851010)Termination phase: Saturation
% 1.57/0.70 % (851010)Time elapsed: 0.023 s
% 1.57/0.70 % (851010)Peak memory usage: 11 MB
% 1.57/0.70 % (851010)Instructions burned: 29 (million)
% 1.57/0.70 % (851015)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3908633351:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.57/0.70 % (851020)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2700530804:st=2:i=249:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/249Mi)
% 1.57/0.70 % (851021)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3197047023:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/25Mi)
% 1.57/0.70 % (851023)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1106500400:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.57/0.70 % (851015)Instruction limit reached!
% 1.57/0.70 % (851015)------------------------------
% 1.57/0.70 % (851015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (851015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (851015)CaDiCaL version: 2.1.3
% 1.57/0.70 % (851015)Termination reason: Instruction limit
% 1.57/0.70 % (851015)Termination phase: Saturation
% 1.57/0.70 % (851015)Time elapsed: 0.037 s
% 1.57/0.70 % (851015)Peak memory usage: 12 MB
% 1.57/0.70 % (851015)Instructions burned: 38 (million)
% 1.57/0.70 % (851021)Instruction limit reached!
% 1.57/0.70 % (851021)------------------------------
% 1.57/0.70 % (851021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (851021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (851021)CaDiCaL version: 2.1.3
% 1.57/0.70 % (851021)Termination reason: Instruction limit
% 1.57/0.70 % (851021)Termination phase: Saturation
% 1.57/0.70 % (851021)Time elapsed: 0.025 s
% 1.57/0.70 % (851021)Peak memory usage: 12 MB
% 1.57/0.70 % (851021)Instructions burned: 25 (million)
% 1.57/0.70 % (851023)Instruction limit reached!
% 1.57/0.70 % (851023)------------------------------
% 1.57/0.70 % (851023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (851023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (851023)CaDiCaL version: 2.1.3
% 1.57/0.70 % (851023)Termination reason: Instruction limit
% 1.57/0.70 % (851023)Termination phase: Saturation
% 1.57/0.70 % (851023)Time elapsed: 0.013 s
% 1.57/0.70 % (851023)Peak memory usage: 12 MB
% 1.57/0.70 % (851023)Instructions burned: 14 (million)
% 1.57/0.70 % (851011)Instruction limit reached!
% 1.57/0.70 % (851011)------------------------------
% 2.63/0.78 % (851011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.78 % (851011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.78 % (851011)CaDiCaL version: 2.1.3
% 2.63/0.78 % (851011)Termination reason: Instruction limit
% 2.63/0.78 % (851011)Termination phase: Saturation
% 2.63/0.78 % (851011)Time elapsed: 0.078 s
% 2.63/0.78 % (851011)Peak memory usage: 13 MB
% 2.63/0.78 % (851011)Instructions burned: 86 (million)
% 2.63/0.78 % (851027)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1546272988:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/327Mi)
% 2.63/0.78 % (851028)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1903974674:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 2.63/0.78 % (850995)Instruction limit reached!
% 2.63/0.78 % (850995)------------------------------
% 2.63/0.78 % (850995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.78 % (850995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.78 % (850995)CaDiCaL version: 2.1.3
% 2.63/0.78 % (850995)Termination reason: Instruction limit
% 2.63/0.78 % (850995)Termination phase: Saturation
% 2.63/0.78 % (850995)Time elapsed: 0.188 s
% 2.63/0.78 % (850995)Peak memory usage: 13 MB
% 2.63/0.78 % (850995)Instructions burned: 157 (million)
% 2.63/0.78 % (851029)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3450155169:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.63/0.78 % (851029)Instruction limit reached!
% 2.63/0.78 % (851029)------------------------------
% 2.63/0.78 % (851029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.78 % (851029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.78 % (851029)CaDiCaL version: 2.1.3
% 2.63/0.78 % (851029)Termination reason: Instruction limit
% 2.63/0.78 % (851029)Termination phase: Property scanning
% 2.63/0.78 % (851029)Time elapsed: 0.003 s
% 2.63/0.78 % (851029)Peak memory usage: 10 MB
% 2.63/0.78 % (851029)Instructions burned: 3 (million)
% 2.63/0.78 % (851030)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=137326646:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.63/0.78 % (851028)Instruction limit reached!
% 2.63/0.78 % (851028)------------------------------
% 2.63/0.78 % (851028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.78 % (851028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.78 % (851028)CaDiCaL version: 2.1.3
% 2.63/0.78 % (851028)Termination reason: Instruction limit
% 2.63/0.78 % (851028)Termination phase: Saturation
% 2.63/0.78 % (851028)Time elapsed: 0.013 s
% 2.63/0.78 % (851028)Peak memory usage: 12 MB
% 2.63/0.78 % (851028)Instructions burned: 14 (million)
% 2.63/0.78 % (851033)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3179181850:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 2.63/0.78 % (850992)Instruction limit reached!
% 2.63/0.78 % (850992)------------------------------
% 2.63/0.78 % (850992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.78 % (850992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.78 % (850992)CaDiCaL version: 2.1.3
% 2.63/0.78 % (850992)Termination reason: Instruction limit
% 2.63/0.78 % (850992)Termination phase: Saturation
% 2.63/0.78 % (850992)Time elapsed: 0.249 s
% 2.63/0.78 % (850992)Peak memory usage: 14 MB
% 2.63/0.78 % (850992)Instructions burned: 634 (million)
% 2.63/0.78 % (851030)Instruction limit reached!
% 2.63/0.78 % (851030)------------------------------
% 2.63/0.78 % (851030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.63/0.78 % (851030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/0.78 % (851030)CaDiCaL version: 2.1.3
% 2.63/0.78 % (851030)Termination reason: Instruction limit
% 2.63/0.78 % (851030)Termination phase: Saturation
% 2.63/0.78 % (851030)Time elapsed: 0.022 s
% 2.63/0.78 % (851030)Peak memory usage: 12 MB
% 2.63/0.78 % (851030)Instructions burned: 26 (million)
% 2.63/0.78 % (851037)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
% 2.73/0.90 % (851037)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.73/0.90 % (851035)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=118828079:cond=on:i=60:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/60Mi)
% 2.73/0.90 % (851037)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=2402920718:i=14:add=off:nm=40:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/14Mi)
% 2.73/0.90 % (851039)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.73/0.90 % (851039)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=713640944:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2996 on theBenchmark for (2996ds/8Mi)
% 2.73/0.90 % (851033)Instruction limit reached!
% 2.73/0.90 % (851033)------------------------------
% 2.73/0.90 % (851033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.90 % (851033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.90 % (851033)CaDiCaL version: 2.1.3
% 2.73/0.90 % (851033)Termination reason: Instruction limit
% 2.73/0.90 % (851033)Termination phase: Saturation
% 2.73/0.90 % (851033)Time elapsed: 0.022 s
% 2.73/0.90 % (851033)Peak memory usage: 12 MB
% 2.73/0.90 % (851033)Instructions burned: 24 (million)
% 2.73/0.90 % (851037)Instruction limit reached!
% 2.73/0.90 % (851037)------------------------------
% 2.73/0.90 % (851037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.90 % (851037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.90 % (851037)CaDiCaL version: 2.1.3
% 2.73/0.90 % (851037)Termination reason: Instruction limit
% 2.73/0.90 % (851037)Termination phase: Saturation
% 2.73/0.90 % (851037)Time elapsed: 0.013 s
% 2.73/0.90 % (851037)Peak memory usage: 12 MB
% 2.73/0.90 % (851037)Instructions burned: 15 (million)
% 2.73/0.90 % (851039)Instruction limit reached!
% 2.73/0.90 % (851039)------------------------------
% 2.73/0.90 % (851039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.73/0.90 % (851039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/0.90 % (851039)CaDiCaL version: 2.1.3
% 2.73/0.90 % (851039)Termination reason: Instruction limit
% 2.73/0.90 % (851039)Termination phase: Saturation
% 2.73/0.90 % (851039)Time elapsed: 0.008 s
% 2.73/0.90 % (851039)Peak memory usage: 12 MB
% 2.73/0.90 % (851039)Instructions burned: 16 (million)
% 2.73/0.90 % (851046)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2731437954:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 2.73/0.90 % (851040)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=1533514365:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.73/0.90 % (851044)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4015770877:i=7:hud=5:bd=preordered:rtra=on:bet=on_2996 on theBenchmark for (2996ds/7Mi)
% 2.73/0.90 % (851046)Instruction limit reached!
% 2.73/0.90 % (851046)------------------------------
% 3.26/0.90 % (851046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.90 % (851046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.90 % (851046)CaDiCaL version: 2.1.3
% 3.26/0.90 % (851046)Termination reason: Instruction limit
% 3.26/0.90 % (851046)Termination phase: Saturation
% 3.26/0.90 % (851046)Time elapsed: 0.009 s
% 3.26/0.90 % (851046)Peak memory usage: 12 MB
% 3.26/0.90 % (851046)Instructions burned: 20 (million)
% 3.26/0.90 % (851045)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1450851870:i=23:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/23Mi)
% 3.26/0.90 % (851035)Instruction limit reached!
% 3.26/0.90 % (851035)------------------------------
% 3.26/0.90 % (851035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.90 % (851035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.90 % (851035)CaDiCaL version: 2.1.3
% 3.26/0.90 % (851035)Termination reason: Instruction limit
% 3.26/0.90 % (851035)Termination phase: Saturation
% 3.26/0.90 % (851035)Time elapsed: 0.051 s
% 3.76/1.01 % (851035)Peak memory usage: 12 MB
% 3.76/1.01 % (851035)Instructions burned: 60 (million)
% 3.76/1.01 % (851044)Instruction limit reached!
% 3.76/1.01 % (851044)------------------------------
% 3.76/1.01 % (851044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (851044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (851044)CaDiCaL version: 2.1.3
% 3.76/1.01 % (851044)Termination reason: Instruction limit
% 3.76/1.01 % (851044)Termination phase: Saturation
% 3.76/1.01 % (851044)Time elapsed: 0.008 s
% 3.76/1.01 % (851044)Peak memory usage: 12 MB
% 3.76/1.01 % (851044)Instructions burned: 7 (million)
% 3.76/1.01 % (851051)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3394982923:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 3.76/1.01 % (851045)Instruction limit reached!
% 3.76/1.01 % (851045)------------------------------
% 3.76/1.01 % (851045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (851045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (851045)CaDiCaL version: 2.1.3
% 3.76/1.01 % (851045)Termination reason: Instruction limit
% 3.76/1.01 % (851045)Termination phase: Saturation
% 3.76/1.01 % (851045)Time elapsed: 0.017 s
% 3.76/1.01 % (851045)Peak memory usage: 11 MB
% 3.76/1.01 % (851045)Instructions burned: 23 (million)
% 3.76/1.01 % (851040)Instruction limit reached!
% 3.76/1.01 % (851040)------------------------------
% 3.76/1.01 % (851040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (851040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (851040)CaDiCaL version: 2.1.3
% 3.76/1.01 % (851040)Termination reason: Instruction limit
% 3.76/1.01 % (851040)Termination phase: Saturation
% 3.76/1.01 % (851040)Time elapsed: 0.035 s
% 3.76/1.01 % (851040)Peak memory usage: 12 MB
% 3.76/1.01 % (851040)Instructions burned: 31 (million)
% 3.76/1.01 % (851052)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1468004807:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/143Mi)
% 3.76/1.01 % (851053)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2939223979:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/193Mi)
% 3.76/1.01 % (851055)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3867245533:i=42:hud=10:rtra=on_2995 on theBenchmark for (2995ds/42Mi)
% 3.76/1.01 % (851056)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.76/1.01 % (851020)Instruction limit reached!
% 3.76/1.01 % (851020)------------------------------
% 3.76/1.01 % (851020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (851020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (851020)CaDiCaL version: 2.1.3
% 3.76/1.01 % (851020)Termination reason: Instruction limit
% 3.76/1.01 % (851020)Termination phase: Saturation
% 3.76/1.01 % (851020)Time elapsed: 0.213 s
% 3.76/1.01 % (851020)Peak memory usage: 13 MB
% 3.76/1.01 % (851020)Instructions burned: 250 (million)
% 3.76/1.01 % (851056)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1185934038:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2995 on theBenchmark for (2995ds/7Mi)
% 3.76/1.01 % (851056)Instruction limit reached!
% 3.76/1.01 % (851056)------------------------------
% 3.76/1.01 % (851056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (851056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (851056)CaDiCaL version: 2.1.3
% 3.76/1.01 % (851056)Termination reason: Instruction limit
% 3.76/1.01 % (851056)Termination phase: Saturation
% 3.76/1.01 % (851056)Time elapsed: 0.007 s
% 3.76/1.01 % (851056)Peak memory usage: 12 MB
% 3.76/1.01 % (851056)Instructions burned: 8 (million)
% 3.76/1.01 % (851055)Instruction limit reached!
% 3.76/1.01 % (851055)------------------------------
% 3.76/1.01 % (851055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (851055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (851055)CaDiCaL version: 2.1.3
% 3.76/1.01 % (851055)Termination reason: Instruction limit
% 3.76/1.01 % (851055)Termination phase: Saturation
% 3.76/1.01 % (851055)Time elapsed: 0.037 s
% 3.76/1.02 % (851055)Peak memory usage: 12 MB
% 3.76/1.02 % (851055)Instructions burned: 43 (million)
% 3.76/1.02 % (851060)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1373854682:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/181Mi)
% 3.76/1.02 % (851062)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=1041356285:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/169Mi)
% 3.76/1.02 % (851063)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.76/1.02 % (851063)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3792604420:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 3.76/1.02 % (851063)Instruction limit reached!
% 3.76/1.02 % (851063)------------------------------
% 3.76/1.02 % (851063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851063)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851063)Termination reason: Instruction limit
% 3.76/1.02 % (851063)Termination phase: Saturation
% 3.76/1.02 % (851063)Time elapsed: 0.006 s
% 3.76/1.02 % (851063)Peak memory usage: 12 MB
% 3.76/1.02 % (851063)Instructions burned: 7 (million)
% 3.76/1.02 % (851052)Instruction limit reached!
% 3.76/1.02 % (851052)------------------------------
% 3.76/1.02 % (851052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851052)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851052)Termination reason: Instruction limit
% 3.76/1.02 % (851052)Termination phase: Saturation
% 3.76/1.02 % (851067)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2400266043:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 3.76/1.02 % (851052)Time elapsed: 0.120 s
% 3.76/1.02 % (851052)Peak memory usage: 12 MB
% 3.76/1.02 % (851052)Instructions burned: 144 (million)
% 3.76/1.02 % (851067)Instruction limit reached!
% 3.76/1.02 % (851067)------------------------------
% 3.76/1.02 % (851067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851067)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851067)Termination reason: Instruction limit
% 3.76/1.02 % (851067)Termination phase: Saturation
% 3.76/1.02 % (851067)Time elapsed: 0.019 s
% 3.76/1.02 % (851067)Peak memory usage: 12 MB
% 3.76/1.02 % (851067)Instructions burned: 22 (million)
% 3.76/1.02 % (851027)Instruction limit reached!
% 3.76/1.02 % (851027)------------------------------
% 3.76/1.02 % (851027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851027)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851027)Termination reason: Instruction limit
% 3.76/1.02 % (851027)Termination phase: Saturation
% 3.76/1.02 % (851027)Time elapsed: 0.276 s
% 3.76/1.02 % (851027)Peak memory usage: 13 MB
% 3.76/1.02 % (851027)Instructions burned: 330 (million)
% 3.76/1.02 % (851069)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1234066747:i=19:add=on:rtra=on_2994 on theBenchmark for (2994ds/19Mi)
% 3.76/1.02 % (851053)Instruction limit reached!
% 3.76/1.02 % (851053)------------------------------
% 3.76/1.02 % (851053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851053)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851053)Termination reason: Instruction limit
% 3.76/1.02 % (851053)Termination phase: Saturation
% 3.76/1.02 % (851053)Time elapsed: 0.156 s
% 3.76/1.02 % (851053)Peak memory usage: 12 MB
% 3.76/1.02 % (851053)Instructions burned: 194 (million)
% 3.76/1.02 % (851069)Instruction limit reached!
% 3.76/1.02 % (851069)------------------------------
% 3.76/1.02 % (851069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851069)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851069)Termination reason: Instruction limit
% 3.76/1.02 % (851069)Termination phase: Saturation
% 3.76/1.02 % (851069)Time elapsed: 0.016 s
% 3.76/1.02 % (851069)Peak memory usage: 12 MB
% 3.76/1.02 % (851069)Instructions burned: 19 (million)
% 3.76/1.02 % (851070)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=436878482:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/316Mi)
% 3.76/1.02 % (851071)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=3566458142:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2994 on theBenchmark for (2994ds/853Mi)
% 3.76/1.02 % (851073)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=4282071668:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 3.76/1.02 % (851074)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1249196821:i=480:rtra=on_2993 on theBenchmark for (2993ds/480Mi)
% 3.76/1.02 % (851060)Instruction limit reached!
% 3.76/1.02 % (851060)------------------------------
% 3.76/1.02 % (851060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851060)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851060)Termination reason: Instruction limit
% 3.76/1.02 % (851060)Termination phase: Saturation
% 3.76/1.02 % (851060)Time elapsed: 0.150 s
% 3.76/1.02 % (851060)Peak memory usage: 14 MB
% 3.76/1.02 % (851060)Instructions burned: 181 (million)
% 3.76/1.02 % (851062)Instruction limit reached!
% 3.76/1.02 % (851062)------------------------------
% 3.76/1.02 % (851062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851062)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851062)Termination reason: Instruction limit
% 3.76/1.02 % (851062)Termination phase: Saturation
% 3.76/1.02 % (851062)Time elapsed: 0.153 s
% 3.76/1.02 % (851062)Peak memory usage: 13 MB
% 3.76/1.02 % (851062)Instructions burned: 169 (million)
% 3.76/1.02 % (851073)Instruction limit reached!
% 3.76/1.02 % (851073)------------------------------
% 3.76/1.02 % (851073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851073)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851073)Termination reason: Instruction limit
% 3.76/1.02 % (851073)Termination phase: Saturation
% 3.76/1.02 % (851073)Time elapsed: 0.043 s
% 3.76/1.02 % (851073)Peak memory usage: 12 MB
% 3.76/1.02 % (851073)Instructions burned: 45 (million)
% 3.76/1.02 % (851079)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3931872821:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/21Mi)
% 3.76/1.02 % (851080)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.76/1.02 % (851080)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2125370120:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/200Mi)
% 3.76/1.02 % (851070) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-850984-851070"...
% 3.76/1.02 % (851079)Instruction limit reached!
% 3.76/1.02 % (851079)------------------------------
% 3.76/1.02 % (851079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851079)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851079)Termination reason: Instruction limit
% 3.76/1.02 % (851079)Termination phase: Saturation
% 3.76/1.02 % (851079)Time elapsed: 0.021 s
% 3.76/1.02 % (851079)Peak memory usage: 12 MB
% 3.76/1.02 % (851079)Instructions burned: 21 (million)
% 3.76/1.02 % (851081)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=868405649:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/13Mi)
% 3.76/1.02 % (851081)Instruction limit reached!
% 3.76/1.02 % (851081)------------------------------
% 3.76/1.02 % (851081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.02 % (851081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.02 % (851081)CaDiCaL version: 2.1.3
% 3.76/1.02 % (851081)Termination reason: Instruction limit
% 3.76/1.02 % (851081)Termination phase: Saturation
% 3.76/1.02 % (851081)Time elapsed: 0.012 s
% 3.76/1.02 % (851081)Peak memory usage: 12 MB
% 3.76/1.02 % (851081)Instructions burned: 13 (million)
% 3.76/1.02 % (851070)...printing done.
% 3.76/1.02 % (851070)Refutation found. Thanks to Tanya!
% 3.76/1.02 % SZS status Theorem for theBenchmark
% 3.76/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.03 % (851070)------------------------------
% 3.76/1.03 % (851070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.03 % (851070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.03 % (851070)CaDiCaL version: 2.1.3
% 3.76/1.03 % (851070)Termination reason: Refutation
% 3.76/1.03 % (851070)Time elapsed: 0.107 s
% 3.76/1.03 % (851070)Peak memory usage: 14 MB
% 3.76/1.03 % (851070)Instructions burned: 118 (million)
% 3.76/1.03 % (850984)Success in time 0.721 s
% 3.76/1.03 % Vampire exiting
%------------------------------------------------------------------------------