TSTP Solution File: SYN440+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN440+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:28:45 EDT 2023
% Result : Theorem 16.05s 4.34s
% Output : Refutation 16.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 140
% Syntax : Number of formulae : 143 ( 1 unt; 139 typ; 0 def)
% Number of atoms : 2416 ( 0 equ; 0 cnn)
% Maximal formula atoms : 805 ( 604 avg)
% Number of connectives : 4838 ( 950 ~;1140 |; 981 &;1476 @)
% ( 0 <=>; 291 =>; 0 <=; 0 <~>)
% Maximal formula depth : 137 ( 103 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 140 ( 139 usr; 136 con; 0-1 aty)
% Number of variables : 291 ( 0 ^; 291 !; 0 ?; 291 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp0_type,type,
hskp0: $o ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a597_type,type,
a597: $i ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(a598_type,type,
a598: $i ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(a601_type,type,
a601: $i ).
thf(hskp3_type,type,
hskp3: $o ).
thf(a603_type,type,
a603: $i ).
thf(hskp4_type,type,
hskp4: $o ).
thf(a604_type,type,
a604: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(a606_type,type,
a606: $i ).
thf(hskp6_type,type,
hskp6: $o ).
thf(a609_type,type,
a609: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(a610_type,type,
a610: $i ).
thf(hskp8_type,type,
hskp8: $o ).
thf(a612_type,type,
a612: $i ).
thf(hskp9_type,type,
hskp9: $o ).
thf(a613_type,type,
a613: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a615_type,type,
a615: $i ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a616_type,type,
a616: $i ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a620_type,type,
a620: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(a622_type,type,
a622: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(a624_type,type,
a624: $i ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a625_type,type,
a625: $i ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a627_type,type,
a627: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a628_type,type,
a628: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a632_type,type,
a632: $i ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a634_type,type,
a634: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(a635_type,type,
a635: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a637_type,type,
a637: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(a641_type,type,
a641: $i ).
thf(hskp23_type,type,
hskp23: $o ).
thf(a642_type,type,
a642: $i ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a643_type,type,
a643: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(a646_type,type,
a646: $i ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a652_type,type,
a652: $i ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a654_type,type,
a654: $i ).
thf(hskp28_type,type,
hskp28: $o ).
thf(a656_type,type,
a656: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(a660_type,type,
a660: $i ).
thf(hskp30_type,type,
hskp30: $o ).
thf(a666_type,type,
a666: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a667_type,type,
a667: $i ).
thf(hskp32_type,type,
hskp32: $o ).
thf(a677_type,type,
a677: $i ).
thf(hskp33_type,type,
hskp33: $o ).
thf(a599_type,type,
a599: $i ).
thf(hskp34_type,type,
hskp34: $o ).
thf(a600_type,type,
a600: $i ).
thf(hskp35_type,type,
hskp35: $o ).
thf(a602_type,type,
a602: $i ).
thf(hskp36_type,type,
hskp36: $o ).
thf(a605_type,type,
a605: $i ).
thf(hskp37_type,type,
hskp37: $o ).
thf(a607_type,type,
a607: $i ).
thf(hskp38_type,type,
hskp38: $o ).
thf(a608_type,type,
a608: $i ).
thf(hskp39_type,type,
hskp39: $o ).
thf(a611_type,type,
a611: $i ).
thf(hskp40_type,type,
hskp40: $o ).
thf(a614_type,type,
a614: $i ).
thf(hskp41_type,type,
hskp41: $o ).
thf(a617_type,type,
a617: $i ).
thf(hskp42_type,type,
hskp42: $o ).
thf(a618_type,type,
a618: $i ).
thf(hskp43_type,type,
hskp43: $o ).
thf(a619_type,type,
a619: $i ).
thf(hskp44_type,type,
hskp44: $o ).
thf(a621_type,type,
a621: $i ).
thf(hskp45_type,type,
hskp45: $o ).
thf(a623_type,type,
a623: $i ).
thf(hskp46_type,type,
hskp46: $o ).
thf(a626_type,type,
a626: $i ).
thf(hskp47_type,type,
hskp47: $o ).
thf(a636_type,type,
a636: $i ).
thf(hskp48_type,type,
hskp48: $o ).
thf(a638_type,type,
a638: $i ).
thf(hskp49_type,type,
hskp49: $o ).
thf(a639_type,type,
a639: $i ).
thf(hskp50_type,type,
hskp50: $o ).
thf(a640_type,type,
a640: $i ).
thf(hskp51_type,type,
hskp51: $o ).
thf(a644_type,type,
a644: $i ).
thf(hskp52_type,type,
hskp52: $o ).
thf(a647_type,type,
a647: $i ).
thf(hskp53_type,type,
hskp53: $o ).
thf(a648_type,type,
a648: $i ).
thf(hskp54_type,type,
hskp54: $o ).
thf(a651_type,type,
a651: $i ).
thf(hskp55_type,type,
hskp55: $o ).
thf(a653_type,type,
a653: $i ).
thf(hskp56_type,type,
hskp56: $o ).
thf(a658_type,type,
a658: $i ).
thf(hskp57_type,type,
hskp57: $o ).
thf(a662_type,type,
a662: $i ).
thf(hskp58_type,type,
hskp58: $o ).
thf(a663_type,type,
a663: $i ).
thf(hskp59_type,type,
hskp59: $o ).
thf(a665_type,type,
a665: $i ).
thf(hskp60_type,type,
hskp60: $o ).
thf(a669_type,type,
a669: $i ).
thf(hskp61_type,type,
hskp61: $o ).
thf(a670_type,type,
a670: $i ).
thf(hskp62_type,type,
hskp62: $o ).
thf(a671_type,type,
a671: $i ).
thf(hskp63_type,type,
hskp63: $o ).
thf(a672_type,type,
a672: $i ).
thf(hskp64_type,type,
hskp64: $o ).
thf(a673_type,type,
a673: $i ).
thf(hskp65_type,type,
hskp65: $o ).
thf(a674_type,type,
a674: $i ).
thf(hskp66_type,type,
hskp66: $o ).
thf(a675_type,type,
a675: $i ).
thf(1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a597 )
& ~ ( c3_1 @ a597 )
& ~ ( c1_1 @ a597 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a598 )
& ( c2_1 @ a598 )
& ~ ( c1_1 @ a598 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a601 )
& ~ ( c2_1 @ a601 )
& ~ ( c3_1 @ a601 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a603 )
& ~ ( c1_1 @ a603 )
& ~ ( c3_1 @ a603 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ ( c2_1 @ a604 )
& ~ ( c0_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a606 )
& ( c2_1 @ a606 )
& ~ ( c3_1 @ a606 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c2_1 @ a609 )
& ~ ( c0_1 @ a609 )
& ~ ( c1_1 @ a609 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a610 )
& ~ ( c2_1 @ a610 )
& ~ ( c0_1 @ a610 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c2_1 @ a612 )
& ( c3_1 @ a612 )
& ~ ( c1_1 @ a612 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c1_1 @ a613 )
& ( c2_1 @ a613 )
& ~ ( c3_1 @ a613 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c3_1 @ a615 )
& ~ ( c2_1 @ a615 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a616 )
& ( c1_1 @ a616 )
& ~ ( c2_1 @ a616 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a620 )
& ~ ( c3_1 @ a620 )
& ~ ( c1_1 @ a620 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c1_1 @ a622 )
& ~ ( c2_1 @ a622 )
& ~ ( c0_1 @ a622 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c3_1 @ a624 )
& ~ ( c1_1 @ a624 )
& ~ ( c2_1 @ a624 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c2_1 @ a625 )
& ~ ( c1_1 @ a625 )
& ~ ( c0_1 @ a625 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a627 )
& ( c0_1 @ a627 )
& ~ ( c3_1 @ a627 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a628 )
& ~ ( c2_1 @ a628 )
& ~ ( c1_1 @ a628 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a632 )
& ( c3_1 @ a632 )
& ~ ( c1_1 @ a632 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c1_1 @ a634 )
& ~ ( c0_1 @ a634 )
& ~ ( c3_1 @ a634 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c1_1 @ a635 )
& ~ ( c2_1 @ a635 )
& ~ ( c3_1 @ a635 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a637 )
& ( c0_1 @ a637 )
& ~ ( c3_1 @ a637 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a641 )
& ~ ( c1_1 @ a641 )
& ~ ( c2_1 @ a641 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c2_1 @ a642 )
& ( c3_1 @ a642 )
& ~ ( c0_1 @ a642 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c0_1 @ a643 )
& ( c3_1 @ a643 )
& ~ ( c1_1 @ a643 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c3_1 @ a646 )
& ~ ( c2_1 @ a646 )
& ~ ( c0_1 @ a646 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c1_1 @ a652 )
& ( c3_1 @ a652 )
& ~ ( c2_1 @ a652 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c3_1 @ a654 )
& ~ ( c0_1 @ a654 )
& ~ ( c1_1 @ a654 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ~ ( c3_1 @ a656 )
& ( c1_1 @ a656 )
& ~ ( c0_1 @ a656 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c1_1 @ a660 )
& ~ ( c3_1 @ a660 )
& ~ ( c0_1 @ a660 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c2_1 @ a666 )
& ( c0_1 @ a666 )
& ~ ( c3_1 @ a666 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ~ ( c2_1 @ a667 )
& ( c1_1 @ a667 )
& ~ ( c0_1 @ a667 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ( c0_1 @ a677 )
& ~ ( c3_1 @ a677 )
& ~ ( c2_1 @ a677 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ~ ( c2_1 @ a599 )
& ( c0_1 @ a599 )
& ( c3_1 @ a599 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c3_1 @ a600 )
& ( c2_1 @ a600 )
& ( c0_1 @ a600 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ~ ( c3_1 @ a602 )
& ~ ( c1_1 @ a602 )
& ( c2_1 @ a602 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c1_1 @ a605 )
& ~ ( c3_1 @ a605 )
& ( c0_1 @ a605 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ( c1_1 @ a607 )
& ~ ( c2_1 @ a607 )
& ( c0_1 @ a607 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ( c1_1 @ a608 )
& ( c3_1 @ a608 )
& ( c0_1 @ a608 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ ( c1_1 @ a611 )
& ( c3_1 @ a611 )
& ( c2_1 @ a611 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ( c2_1 @ a614 )
& ( c1_1 @ a614 )
& ( c0_1 @ a614 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ( c2_1 @ a617 )
& ~ ( c1_1 @ a617 )
& ( c3_1 @ a617 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ~ ( c2_1 @ a618 )
& ~ ( c3_1 @ a618 )
& ( c1_1 @ a618 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ~ ( c3_1 @ a619 )
& ~ ( c1_1 @ a619 )
& ( c0_1 @ a619 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ( c2_1 @ a621 )
& ~ ( c0_1 @ a621 )
& ( c3_1 @ a621 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ~ ( c0_1 @ a623 )
& ( c3_1 @ a623 )
& ( c2_1 @ a623 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ( c1_1 @ a626 )
& ( c0_1 @ a626 )
& ( c3_1 @ a626 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ~ ( c1_1 @ a636 )
& ~ ( c0_1 @ a636 )
& ( c3_1 @ a636 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ~ ( c3_1 @ a638 )
& ( c1_1 @ a638 )
& ( c2_1 @ a638 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ~ ( c2_1 @ a639 )
& ~ ( c0_1 @ a639 )
& ( c1_1 @ a639 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c3_1 @ a640 )
& ( c1_1 @ a640 )
& ( c0_1 @ a640 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c2_1 @ a644 )
& ~ ( c3_1 @ a644 )
& ( c0_1 @ a644 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ~ ( c2_1 @ a647 )
& ~ ( c1_1 @ a647 )
& ( c0_1 @ a647 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c3_1 @ a648 )
& ~ ( c2_1 @ a648 )
& ( c0_1 @ a648 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c3_1 @ a651 )
& ~ ( c0_1 @ a651 )
& ( c2_1 @ a651 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ~ ( c2_1 @ a653 )
& ( c3_1 @ a653 )
& ( c1_1 @ a653 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c1_1 @ a658 )
& ( c2_1 @ a658 )
& ( c3_1 @ a658 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ~ ( c0_1 @ a662 )
& ( c1_1 @ a662 )
& ( c2_1 @ a662 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c0_1 @ a663 )
& ~ ( c1_1 @ a663 )
& ( c3_1 @ a663 ) ) )
& ( ~ hskp59
| ( ndr1_0
& ~ ( c0_1 @ a665 )
& ( c2_1 @ a665 )
& ( c3_1 @ a665 ) ) )
& ( ~ hskp60
| ( ndr1_0
& ( c0_1 @ a669 )
& ~ ( c2_1 @ a669 )
& ( c1_1 @ a669 ) ) )
& ( ~ hskp61
| ( ndr1_0
& ~ ( c1_1 @ a670 )
& ~ ( c0_1 @ a670 )
& ( c2_1 @ a670 ) ) )
& ( ~ hskp62
| ( ndr1_0
& ~ ( c1_1 @ a671 )
& ( c3_1 @ a671 )
& ( c0_1 @ a671 ) ) )
& ( ~ hskp63
| ( ndr1_0
& ~ ( c0_1 @ a672 )
& ~ ( c2_1 @ a672 )
& ( c3_1 @ a672 ) ) )
& ( ~ hskp64
| ( ndr1_0
& ( c3_1 @ a673 )
& ~ ( c0_1 @ a673 )
& ( c1_1 @ a673 ) ) )
& ( ~ hskp65
| ( ndr1_0
& ( c2_1 @ a674 )
& ~ ( c1_1 @ a674 )
& ( c0_1 @ a674 ) ) )
& ( ~ hskp66
| ( ndr1_0
& ( c1_1 @ a675 )
& ~ ( c2_1 @ a675 )
& ( c3_1 @ a675 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp0
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp1 )
& ( hskp33
| hskp34
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp35
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp3
| hskp4
| hskp36 )
& ( hskp5
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp37 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp38
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp6
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp7
| hskp39 )
& ( hskp8
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp40
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp41
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp42
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp43
| hskp12
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp44
| hskp13
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp45 )
& ( hskp14
| hskp15
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp46 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp16
| hskp17
| hskp9 )
& ( hskp36
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp16
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp18
| hskp9
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp20 )
& ( hskp47
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp48
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp49 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp50
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp23
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp51
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp5 )
& ( hskp25
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp52 )
& ( hskp53
| hskp17
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp37
| hskp54
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp26
| hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp27
| hskp40
| hskp28 )
& ( hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp29 )
& ( hskp42
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp57
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp58
| hskp41 )
& ( hskp59
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp31
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp33
| hskp60
| hskp61 )
& ( hskp62
| hskp63
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp64
| hskp65
| hskp66 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp32
| hskp30
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a597 )
& ~ ( c3_1 @ a597 )
& ~ ( c1_1 @ a597 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a598 )
& ( c2_1 @ a598 )
& ~ ( c1_1 @ a598 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a601 )
& ~ ( c2_1 @ a601 )
& ~ ( c3_1 @ a601 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a603 )
& ~ ( c1_1 @ a603 )
& ~ ( c3_1 @ a603 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ ( c2_1 @ a604 )
& ~ ( c0_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a606 )
& ( c2_1 @ a606 )
& ~ ( c3_1 @ a606 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c2_1 @ a609 )
& ~ ( c0_1 @ a609 )
& ~ ( c1_1 @ a609 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a610 )
& ~ ( c2_1 @ a610 )
& ~ ( c0_1 @ a610 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c2_1 @ a612 )
& ( c3_1 @ a612 )
& ~ ( c1_1 @ a612 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c1_1 @ a613 )
& ( c2_1 @ a613 )
& ~ ( c3_1 @ a613 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c3_1 @ a615 )
& ~ ( c2_1 @ a615 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a616 )
& ( c1_1 @ a616 )
& ~ ( c2_1 @ a616 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a620 )
& ~ ( c3_1 @ a620 )
& ~ ( c1_1 @ a620 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c1_1 @ a622 )
& ~ ( c2_1 @ a622 )
& ~ ( c0_1 @ a622 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c3_1 @ a624 )
& ~ ( c1_1 @ a624 )
& ~ ( c2_1 @ a624 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c2_1 @ a625 )
& ~ ( c1_1 @ a625 )
& ~ ( c0_1 @ a625 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a627 )
& ( c0_1 @ a627 )
& ~ ( c3_1 @ a627 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a628 )
& ~ ( c2_1 @ a628 )
& ~ ( c1_1 @ a628 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a632 )
& ( c3_1 @ a632 )
& ~ ( c1_1 @ a632 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c1_1 @ a634 )
& ~ ( c0_1 @ a634 )
& ~ ( c3_1 @ a634 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c1_1 @ a635 )
& ~ ( c2_1 @ a635 )
& ~ ( c3_1 @ a635 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a637 )
& ( c0_1 @ a637 )
& ~ ( c3_1 @ a637 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a641 )
& ~ ( c1_1 @ a641 )
& ~ ( c2_1 @ a641 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c2_1 @ a642 )
& ( c3_1 @ a642 )
& ~ ( c0_1 @ a642 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c0_1 @ a643 )
& ( c3_1 @ a643 )
& ~ ( c1_1 @ a643 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c3_1 @ a646 )
& ~ ( c2_1 @ a646 )
& ~ ( c0_1 @ a646 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c1_1 @ a652 )
& ( c3_1 @ a652 )
& ~ ( c2_1 @ a652 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c3_1 @ a654 )
& ~ ( c0_1 @ a654 )
& ~ ( c1_1 @ a654 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ~ ( c3_1 @ a656 )
& ( c1_1 @ a656 )
& ~ ( c0_1 @ a656 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c1_1 @ a660 )
& ~ ( c3_1 @ a660 )
& ~ ( c0_1 @ a660 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c2_1 @ a666 )
& ( c0_1 @ a666 )
& ~ ( c3_1 @ a666 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ~ ( c2_1 @ a667 )
& ( c1_1 @ a667 )
& ~ ( c0_1 @ a667 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ( c0_1 @ a677 )
& ~ ( c3_1 @ a677 )
& ~ ( c2_1 @ a677 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ~ ( c2_1 @ a599 )
& ( c0_1 @ a599 )
& ( c3_1 @ a599 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c3_1 @ a600 )
& ( c2_1 @ a600 )
& ( c0_1 @ a600 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ~ ( c3_1 @ a602 )
& ~ ( c1_1 @ a602 )
& ( c2_1 @ a602 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c1_1 @ a605 )
& ~ ( c3_1 @ a605 )
& ( c0_1 @ a605 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ( c1_1 @ a607 )
& ~ ( c2_1 @ a607 )
& ( c0_1 @ a607 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ( c1_1 @ a608 )
& ( c3_1 @ a608 )
& ( c0_1 @ a608 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ ( c1_1 @ a611 )
& ( c3_1 @ a611 )
& ( c2_1 @ a611 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ( c2_1 @ a614 )
& ( c1_1 @ a614 )
& ( c0_1 @ a614 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ( c2_1 @ a617 )
& ~ ( c1_1 @ a617 )
& ( c3_1 @ a617 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ~ ( c2_1 @ a618 )
& ~ ( c3_1 @ a618 )
& ( c1_1 @ a618 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ~ ( c3_1 @ a619 )
& ~ ( c1_1 @ a619 )
& ( c0_1 @ a619 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ( c2_1 @ a621 )
& ~ ( c0_1 @ a621 )
& ( c3_1 @ a621 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ~ ( c0_1 @ a623 )
& ( c3_1 @ a623 )
& ( c2_1 @ a623 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ( c1_1 @ a626 )
& ( c0_1 @ a626 )
& ( c3_1 @ a626 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ~ ( c1_1 @ a636 )
& ~ ( c0_1 @ a636 )
& ( c3_1 @ a636 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ~ ( c3_1 @ a638 )
& ( c1_1 @ a638 )
& ( c2_1 @ a638 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ~ ( c2_1 @ a639 )
& ~ ( c0_1 @ a639 )
& ( c1_1 @ a639 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c3_1 @ a640 )
& ( c1_1 @ a640 )
& ( c0_1 @ a640 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c2_1 @ a644 )
& ~ ( c3_1 @ a644 )
& ( c0_1 @ a644 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ~ ( c2_1 @ a647 )
& ~ ( c1_1 @ a647 )
& ( c0_1 @ a647 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c3_1 @ a648 )
& ~ ( c2_1 @ a648 )
& ( c0_1 @ a648 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c3_1 @ a651 )
& ~ ( c0_1 @ a651 )
& ( c2_1 @ a651 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ~ ( c2_1 @ a653 )
& ( c3_1 @ a653 )
& ( c1_1 @ a653 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c1_1 @ a658 )
& ( c2_1 @ a658 )
& ( c3_1 @ a658 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ~ ( c0_1 @ a662 )
& ( c1_1 @ a662 )
& ( c2_1 @ a662 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c0_1 @ a663 )
& ~ ( c1_1 @ a663 )
& ( c3_1 @ a663 ) ) )
& ( ~ hskp59
| ( ndr1_0
& ~ ( c0_1 @ a665 )
& ( c2_1 @ a665 )
& ( c3_1 @ a665 ) ) )
& ( ~ hskp60
| ( ndr1_0
& ( c0_1 @ a669 )
& ~ ( c2_1 @ a669 )
& ( c1_1 @ a669 ) ) )
& ( ~ hskp61
| ( ndr1_0
& ~ ( c1_1 @ a670 )
& ~ ( c0_1 @ a670 )
& ( c2_1 @ a670 ) ) )
& ( ~ hskp62
| ( ndr1_0
& ~ ( c1_1 @ a671 )
& ( c3_1 @ a671 )
& ( c0_1 @ a671 ) ) )
& ( ~ hskp63
| ( ndr1_0
& ~ ( c0_1 @ a672 )
& ~ ( c2_1 @ a672 )
& ( c3_1 @ a672 ) ) )
& ( ~ hskp64
| ( ndr1_0
& ( c3_1 @ a673 )
& ~ ( c0_1 @ a673 )
& ( c1_1 @ a673 ) ) )
& ( ~ hskp65
| ( ndr1_0
& ( c2_1 @ a674 )
& ~ ( c1_1 @ a674 )
& ( c0_1 @ a674 ) ) )
& ( ~ hskp66
| ( ndr1_0
& ( c1_1 @ a675 )
& ~ ( c2_1 @ a675 )
& ( c3_1 @ a675 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp0
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp1 )
& ( hskp33
| hskp34
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp35
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp3
| hskp4
| hskp36 )
& ( hskp5
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp37 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp38
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp6
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp7
| hskp39 )
& ( hskp8
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp40
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp41
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp42
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp43
| hskp12
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp44
| hskp13
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp45 )
& ( hskp14
| hskp15
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp46 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp16
| hskp17
| hskp9 )
& ( hskp36
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp16
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp18
| hskp9
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp20 )
& ( hskp47
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp48
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp49 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp50
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp23
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp51
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp5 )
& ( hskp25
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp52 )
& ( hskp53
| hskp17
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp37
| hskp54
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp26
| hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp27
| hskp40
| hskp28 )
& ( hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp29 )
& ( hskp42
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp57
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp58
| hskp41 )
& ( hskp59
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp31
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp33
| hskp60
| hskp61 )
& ( hskp62
| hskp63
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp64
| hskp65
| hskp66 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp32
| hskp30
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a597 )
& ~ ( c3_1 @ a597 )
& ~ ( c1_1 @ a597 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a598 )
& ( c2_1 @ a598 )
& ~ ( c1_1 @ a598 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a601 )
& ~ ( c2_1 @ a601 )
& ~ ( c3_1 @ a601 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a603 )
& ~ ( c1_1 @ a603 )
& ~ ( c3_1 @ a603 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ~ ( c2_1 @ a604 )
& ~ ( c0_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a606 )
& ( c2_1 @ a606 )
& ~ ( c3_1 @ a606 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c2_1 @ a609 )
& ~ ( c0_1 @ a609 )
& ~ ( c1_1 @ a609 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a610 )
& ~ ( c2_1 @ a610 )
& ~ ( c0_1 @ a610 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c2_1 @ a612 )
& ( c3_1 @ a612 )
& ~ ( c1_1 @ a612 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c1_1 @ a613 )
& ( c2_1 @ a613 )
& ~ ( c3_1 @ a613 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c3_1 @ a615 )
& ~ ( c2_1 @ a615 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a616 )
& ( c1_1 @ a616 )
& ~ ( c2_1 @ a616 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a620 )
& ~ ( c3_1 @ a620 )
& ~ ( c1_1 @ a620 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c1_1 @ a622 )
& ~ ( c2_1 @ a622 )
& ~ ( c0_1 @ a622 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c3_1 @ a624 )
& ~ ( c1_1 @ a624 )
& ~ ( c2_1 @ a624 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c2_1 @ a625 )
& ~ ( c1_1 @ a625 )
& ~ ( c0_1 @ a625 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a627 )
& ( c0_1 @ a627 )
& ~ ( c3_1 @ a627 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c3_1 @ a628 )
& ~ ( c2_1 @ a628 )
& ~ ( c1_1 @ a628 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a632 )
& ( c3_1 @ a632 )
& ~ ( c1_1 @ a632 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c1_1 @ a634 )
& ~ ( c0_1 @ a634 )
& ~ ( c3_1 @ a634 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c1_1 @ a635 )
& ~ ( c2_1 @ a635 )
& ~ ( c3_1 @ a635 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a637 )
& ( c0_1 @ a637 )
& ~ ( c3_1 @ a637 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a641 )
& ~ ( c1_1 @ a641 )
& ~ ( c2_1 @ a641 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c2_1 @ a642 )
& ( c3_1 @ a642 )
& ~ ( c0_1 @ a642 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c0_1 @ a643 )
& ( c3_1 @ a643 )
& ~ ( c1_1 @ a643 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c3_1 @ a646 )
& ~ ( c2_1 @ a646 )
& ~ ( c0_1 @ a646 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c1_1 @ a652 )
& ( c3_1 @ a652 )
& ~ ( c2_1 @ a652 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c3_1 @ a654 )
& ~ ( c0_1 @ a654 )
& ~ ( c1_1 @ a654 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ~ ( c3_1 @ a656 )
& ( c1_1 @ a656 )
& ~ ( c0_1 @ a656 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c1_1 @ a660 )
& ~ ( c3_1 @ a660 )
& ~ ( c0_1 @ a660 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c2_1 @ a666 )
& ( c0_1 @ a666 )
& ~ ( c3_1 @ a666 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ~ ( c2_1 @ a667 )
& ( c1_1 @ a667 )
& ~ ( c0_1 @ a667 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ( c0_1 @ a677 )
& ~ ( c3_1 @ a677 )
& ~ ( c2_1 @ a677 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ~ ( c2_1 @ a599 )
& ( c0_1 @ a599 )
& ( c3_1 @ a599 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c3_1 @ a600 )
& ( c2_1 @ a600 )
& ( c0_1 @ a600 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ~ ( c3_1 @ a602 )
& ~ ( c1_1 @ a602 )
& ( c2_1 @ a602 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c1_1 @ a605 )
& ~ ( c3_1 @ a605 )
& ( c0_1 @ a605 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ( c1_1 @ a607 )
& ~ ( c2_1 @ a607 )
& ( c0_1 @ a607 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ( c1_1 @ a608 )
& ( c3_1 @ a608 )
& ( c0_1 @ a608 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ ( c1_1 @ a611 )
& ( c3_1 @ a611 )
& ( c2_1 @ a611 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ( c2_1 @ a614 )
& ( c1_1 @ a614 )
& ( c0_1 @ a614 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ( c2_1 @ a617 )
& ~ ( c1_1 @ a617 )
& ( c3_1 @ a617 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ~ ( c2_1 @ a618 )
& ~ ( c3_1 @ a618 )
& ( c1_1 @ a618 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ~ ( c3_1 @ a619 )
& ~ ( c1_1 @ a619 )
& ( c0_1 @ a619 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ( c2_1 @ a621 )
& ~ ( c0_1 @ a621 )
& ( c3_1 @ a621 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ~ ( c0_1 @ a623 )
& ( c3_1 @ a623 )
& ( c2_1 @ a623 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ( c1_1 @ a626 )
& ( c0_1 @ a626 )
& ( c3_1 @ a626 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ~ ( c1_1 @ a636 )
& ~ ( c0_1 @ a636 )
& ( c3_1 @ a636 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ~ ( c3_1 @ a638 )
& ( c1_1 @ a638 )
& ( c2_1 @ a638 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ~ ( c2_1 @ a639 )
& ~ ( c0_1 @ a639 )
& ( c1_1 @ a639 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c3_1 @ a640 )
& ( c1_1 @ a640 )
& ( c0_1 @ a640 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c2_1 @ a644 )
& ~ ( c3_1 @ a644 )
& ( c0_1 @ a644 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ~ ( c2_1 @ a647 )
& ~ ( c1_1 @ a647 )
& ( c0_1 @ a647 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c3_1 @ a648 )
& ~ ( c2_1 @ a648 )
& ( c0_1 @ a648 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c3_1 @ a651 )
& ~ ( c0_1 @ a651 )
& ( c2_1 @ a651 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ~ ( c2_1 @ a653 )
& ( c3_1 @ a653 )
& ( c1_1 @ a653 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c1_1 @ a658 )
& ( c2_1 @ a658 )
& ( c3_1 @ a658 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ~ ( c0_1 @ a662 )
& ( c1_1 @ a662 )
& ( c2_1 @ a662 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c0_1 @ a663 )
& ~ ( c1_1 @ a663 )
& ( c3_1 @ a663 ) ) )
& ( ~ hskp59
| ( ndr1_0
& ~ ( c0_1 @ a665 )
& ( c2_1 @ a665 )
& ( c3_1 @ a665 ) ) )
& ( ~ hskp60
| ( ndr1_0
& ( c0_1 @ a669 )
& ~ ( c2_1 @ a669 )
& ( c1_1 @ a669 ) ) )
& ( ~ hskp61
| ( ndr1_0
& ~ ( c1_1 @ a670 )
& ~ ( c0_1 @ a670 )
& ( c2_1 @ a670 ) ) )
& ( ~ hskp62
| ( ndr1_0
& ~ ( c1_1 @ a671 )
& ( c3_1 @ a671 )
& ( c0_1 @ a671 ) ) )
& ( ~ hskp63
| ( ndr1_0
& ~ ( c0_1 @ a672 )
& ~ ( c2_1 @ a672 )
& ( c3_1 @ a672 ) ) )
& ( ~ hskp64
| ( ndr1_0
& ( c3_1 @ a673 )
& ~ ( c0_1 @ a673 )
& ( c1_1 @ a673 ) ) )
& ( ~ hskp65
| ( ndr1_0
& ( c2_1 @ a674 )
& ~ ( c1_1 @ a674 )
& ( c0_1 @ a674 ) ) )
& ( ~ hskp66
| ( ndr1_0
& ( c1_1 @ a675 )
& ~ ( c2_1 @ a675 )
& ( c3_1 @ a675 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp0
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp1 )
& ( hskp33
| hskp34
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp35
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp3
| hskp4
| hskp36 )
& ( hskp5
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp37 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp38
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp6
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp7
| hskp39 )
& ( hskp8
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp40
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp41
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp42
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp43
| hskp12
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp44
| hskp13
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp45 )
& ( hskp14
| hskp15
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp46 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp16
| hskp17
| hskp9 )
& ( hskp36
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp16
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp18
| hskp9
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp20 )
& ( hskp47
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp48
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp49 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp50
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp23
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp51
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp5 )
& ( hskp25
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp52 )
& ( hskp53
| hskp17
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp37
| hskp54
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp26
| hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp27
| hskp40
| hskp28 )
& ( hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp29 )
& ( hskp42
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp57
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp58
| hskp41 )
& ( hskp59
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp31
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp33
| hskp60
| hskp61 )
& ( hskp62
| hskp63
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp64
| hskp65
| hskp66 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| hskp55
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp32
| hskp30
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(2996,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN440+1 : TPTP v8.1.2. Released v2.1.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:44:14 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.85/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.00 % [INFO] Parsing done (173ms).
% 1.30/1.01 % [INFO] Running in sequential loop mode.
% 1.87/1.21 % [INFO] eprover registered as external prover.
% 1.87/1.21 % [INFO] cvc4 registered as external prover.
% 1.87/1.21 % [INFO] Scanning for conjecture ...
% 2.64/1.57 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.82/1.67 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.82/1.67 % [INFO] Problem is first-order (TPTP FOF).
% 3.08/1.68 % [INFO] Type checking passed.
% 3.08/1.69 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 16.05/4.33 % External prover 'cvc4' found a proof!
% 16.05/4.33 % [INFO] Killing All external provers ...
% 16.05/4.34 % Time passed: 3828ms (effective reasoning time: 3319ms)
% 16.05/4.34 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 16.05/4.34 % Axioms used in derivation (0):
% 16.05/4.34 % No. of inferences in proof: 4
% 16.05/4.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3828 ms resp. 3319 ms w/o parsing
% 16.05/4.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.45/4.43 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------