TSTP Solution File: SYN510+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN510+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 12:29:09 EDT 2023
% Result : Theorem 7.73s 3.24s
% Output : Refutation 7.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 70
% Syntax : Number of formulae : 73 ( 1 unt; 69 typ; 0 def)
% Number of atoms : 2161 ( 0 equ; 0 cnn)
% Maximal formula atoms : 720 ( 540 avg)
% Number of connectives : 4181 ( 773 ~;1215 |; 621 &;1251 @)
% ( 0 <=>; 321 =>; 0 <=; 0 <~>)
% Maximal formula depth : 116 ( 87 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 69 usr; 66 con; 0-1 aty)
% Number of variables : 321 ( 0 ^; 321 !; 0 ?; 321 :)
% 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(a536_type,type,
a536: $i ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(a537_type,type,
a537: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(a538_type,type,
a538: $i ).
thf(hskp3_type,type,
hskp3: $o ).
thf(a539_type,type,
a539: $i ).
thf(hskp4_type,type,
hskp4: $o ).
thf(a540_type,type,
a540: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(a544_type,type,
a544: $i ).
thf(hskp6_type,type,
hskp6: $o ).
thf(a546_type,type,
a546: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(a547_type,type,
a547: $i ).
thf(hskp8_type,type,
hskp8: $o ).
thf(a548_type,type,
a548: $i ).
thf(hskp9_type,type,
hskp9: $o ).
thf(a549_type,type,
a549: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a551_type,type,
a551: $i ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a553_type,type,
a553: $i ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a564_type,type,
a564: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(a565_type,type,
a565: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(a566_type,type,
a566: $i ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a567_type,type,
a567: $i ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a570_type,type,
a570: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a571_type,type,
a571: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a573_type,type,
a573: $i ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a576_type,type,
a576: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(a580_type,type,
a580: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a582_type,type,
a582: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(a584_type,type,
a584: $i ).
thf(hskp23_type,type,
hskp23: $o ).
thf(a587_type,type,
a587: $i ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a590_type,type,
a590: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(a594_type,type,
a594: $i ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a604_type,type,
a604: $i ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a615_type,type,
a615: $i ).
thf(hskp28_type,type,
hskp28: $o ).
thf(a541_type,type,
a541: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(a552_type,type,
a552: $i ).
thf(hskp30_type,type,
hskp30: $o ).
thf(a562_type,type,
a562: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a563_type,type,
a563: $i ).
thf(1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a536 )
& ( c2_1 @ a536 )
& ~ ( c3_1 @ a536 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a537 )
& ~ ( c1_1 @ a537 )
& ~ ( c3_1 @ a537 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c1_1 @ a538 )
& ~ ( c2_1 @ a538 )
& ~ ( c3_1 @ a538 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a539 )
& ~ ( c2_1 @ a539 )
& ~ ( c3_1 @ a539 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a540 )
& ~ ( c1_1 @ a540 )
& ~ ( c2_1 @ a540 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a544 )
& ( c1_1 @ a544 )
& ~ ( c3_1 @ a544 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c3_1 @ a546 )
& ~ ( c0_1 @ a546 )
& ~ ( c1_1 @ a546 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a547 )
& ~ ( c0_1 @ a547 )
& ~ ( c3_1 @ a547 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c1_1 @ a548 )
& ( c2_1 @ a548 )
& ~ ( c0_1 @ a548 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a549 )
& ~ ( c1_1 @ a549 )
& ~ ( c2_1 @ a549 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a551 )
& ( c3_1 @ a551 )
& ~ ( c0_1 @ a551 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c1_1 @ a553 )
& ( c3_1 @ a553 )
& ~ ( c2_1 @ a553 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a564 )
& ( c3_1 @ a564 )
& ~ ( c1_1 @ a564 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a565 )
& ( c3_1 @ a565 )
& ~ ( c2_1 @ a565 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a566 )
& ( c3_1 @ a566 )
& ~ ( c0_1 @ a566 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a567 )
& ( c1_1 @ a567 )
& ~ ( c2_1 @ a567 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a570 )
& ~ ( c2_1 @ a570 )
& ~ ( c3_1 @ a570 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a571 )
& ~ ( c1_1 @ a571 )
& ~ ( c2_1 @ a571 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a573 )
& ~ ( c1_1 @ a573 )
& ~ ( c3_1 @ a573 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a576 )
& ~ ( c1_1 @ a576 )
& ~ ( c3_1 @ a576 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a580 )
& ~ ( c0_1 @ a580 )
& ~ ( c3_1 @ a580 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a582 )
& ( c3_1 @ a582 )
& ~ ( c1_1 @ a582 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c3_1 @ a584 )
& ~ ( c0_1 @ a584 )
& ~ ( c2_1 @ a584 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c0_1 @ a587 )
& ~ ( c2_1 @ a587 )
& ~ ( c3_1 @ a587 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a590 )
& ~ ( c0_1 @ a590 )
& ~ ( c2_1 @ a590 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a594 )
& ~ ( c0_1 @ a594 )
& ~ ( c1_1 @ a594 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a604 )
& ( c2_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c2_1 @ a615 )
& ~ ( c1_1 @ a615 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a541 )
& ( c1_1 @ a541 )
& ( c2_1 @ a541 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a552 )
& ( c2_1 @ a552 )
& ( c3_1 @ a552 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a562 )
& ( c2_1 @ a562 )
& ( c3_1 @ a562 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a563 )
& ( c1_1 @ a563 )
& ( c3_1 @ a563 ) ) )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp28
| hskp2 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp5
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_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 )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp8
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp8
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp11
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp10
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp31 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp13
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp15
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp3
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp12
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp13
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp21
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp3
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp25
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp15
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp30
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp25
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp5
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp26
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp10
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a536 )
& ( c2_1 @ a536 )
& ~ ( c3_1 @ a536 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a537 )
& ~ ( c1_1 @ a537 )
& ~ ( c3_1 @ a537 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c1_1 @ a538 )
& ~ ( c2_1 @ a538 )
& ~ ( c3_1 @ a538 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a539 )
& ~ ( c2_1 @ a539 )
& ~ ( c3_1 @ a539 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a540 )
& ~ ( c1_1 @ a540 )
& ~ ( c2_1 @ a540 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a544 )
& ( c1_1 @ a544 )
& ~ ( c3_1 @ a544 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c3_1 @ a546 )
& ~ ( c0_1 @ a546 )
& ~ ( c1_1 @ a546 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a547 )
& ~ ( c0_1 @ a547 )
& ~ ( c3_1 @ a547 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c1_1 @ a548 )
& ( c2_1 @ a548 )
& ~ ( c0_1 @ a548 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a549 )
& ~ ( c1_1 @ a549 )
& ~ ( c2_1 @ a549 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a551 )
& ( c3_1 @ a551 )
& ~ ( c0_1 @ a551 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c1_1 @ a553 )
& ( c3_1 @ a553 )
& ~ ( c2_1 @ a553 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a564 )
& ( c3_1 @ a564 )
& ~ ( c1_1 @ a564 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a565 )
& ( c3_1 @ a565 )
& ~ ( c2_1 @ a565 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a566 )
& ( c3_1 @ a566 )
& ~ ( c0_1 @ a566 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a567 )
& ( c1_1 @ a567 )
& ~ ( c2_1 @ a567 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a570 )
& ~ ( c2_1 @ a570 )
& ~ ( c3_1 @ a570 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a571 )
& ~ ( c1_1 @ a571 )
& ~ ( c2_1 @ a571 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a573 )
& ~ ( c1_1 @ a573 )
& ~ ( c3_1 @ a573 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a576 )
& ~ ( c1_1 @ a576 )
& ~ ( c3_1 @ a576 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a580 )
& ~ ( c0_1 @ a580 )
& ~ ( c3_1 @ a580 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a582 )
& ( c3_1 @ a582 )
& ~ ( c1_1 @ a582 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c3_1 @ a584 )
& ~ ( c0_1 @ a584 )
& ~ ( c2_1 @ a584 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c0_1 @ a587 )
& ~ ( c2_1 @ a587 )
& ~ ( c3_1 @ a587 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a590 )
& ~ ( c0_1 @ a590 )
& ~ ( c2_1 @ a590 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a594 )
& ~ ( c0_1 @ a594 )
& ~ ( c1_1 @ a594 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a604 )
& ( c2_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c2_1 @ a615 )
& ~ ( c1_1 @ a615 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a541 )
& ( c1_1 @ a541 )
& ( c2_1 @ a541 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a552 )
& ( c2_1 @ a552 )
& ( c3_1 @ a552 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a562 )
& ( c2_1 @ a562 )
& ( c3_1 @ a562 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a563 )
& ( c1_1 @ a563 )
& ( c3_1 @ a563 ) ) )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp28
| hskp2 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp5
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_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 )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp8
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp8
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp11
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp10
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp31 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp13
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp15
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp3
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp12
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp13
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp21
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp3
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp25
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp15
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp30
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp25
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp5
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp26
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp10
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a536 )
& ( c2_1 @ a536 )
& ~ ( c3_1 @ a536 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a537 )
& ~ ( c1_1 @ a537 )
& ~ ( c3_1 @ a537 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ~ ( c1_1 @ a538 )
& ~ ( c2_1 @ a538 )
& ~ ( c3_1 @ a538 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c0_1 @ a539 )
& ~ ( c2_1 @ a539 )
& ~ ( c3_1 @ a539 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a540 )
& ~ ( c1_1 @ a540 )
& ~ ( c2_1 @ a540 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c0_1 @ a544 )
& ( c1_1 @ a544 )
& ~ ( c3_1 @ a544 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c3_1 @ a546 )
& ~ ( c0_1 @ a546 )
& ~ ( c1_1 @ a546 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a547 )
& ~ ( c0_1 @ a547 )
& ~ ( c3_1 @ a547 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c1_1 @ a548 )
& ( c2_1 @ a548 )
& ~ ( c0_1 @ a548 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a549 )
& ~ ( c1_1 @ a549 )
& ~ ( c2_1 @ a549 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a551 )
& ( c3_1 @ a551 )
& ~ ( c0_1 @ a551 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c1_1 @ a553 )
& ( c3_1 @ a553 )
& ~ ( c2_1 @ a553 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a564 )
& ( c3_1 @ a564 )
& ~ ( c1_1 @ a564 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a565 )
& ( c3_1 @ a565 )
& ~ ( c2_1 @ a565 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a566 )
& ( c3_1 @ a566 )
& ~ ( c0_1 @ a566 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a567 )
& ( c1_1 @ a567 )
& ~ ( c2_1 @ a567 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a570 )
& ~ ( c2_1 @ a570 )
& ~ ( c3_1 @ a570 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a571 )
& ~ ( c1_1 @ a571 )
& ~ ( c2_1 @ a571 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a573 )
& ~ ( c1_1 @ a573 )
& ~ ( c3_1 @ a573 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c0_1 @ a576 )
& ~ ( c1_1 @ a576 )
& ~ ( c3_1 @ a576 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a580 )
& ~ ( c0_1 @ a580 )
& ~ ( c3_1 @ a580 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a582 )
& ( c3_1 @ a582 )
& ~ ( c1_1 @ a582 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c3_1 @ a584 )
& ~ ( c0_1 @ a584 )
& ~ ( c2_1 @ a584 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ~ ( c0_1 @ a587 )
& ~ ( c2_1 @ a587 )
& ~ ( c3_1 @ a587 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a590 )
& ~ ( c0_1 @ a590 )
& ~ ( c2_1 @ a590 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c2_1 @ a594 )
& ~ ( c0_1 @ a594 )
& ~ ( c1_1 @ a594 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c1_1 @ a604 )
& ( c2_1 @ a604 )
& ~ ( c3_1 @ a604 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a615 )
& ( c2_1 @ a615 )
& ~ ( c1_1 @ a615 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a541 )
& ( c1_1 @ a541 )
& ( c2_1 @ a541 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a552 )
& ( c2_1 @ a552 )
& ( c3_1 @ a552 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a562 )
& ( c2_1 @ a562 )
& ( c3_1 @ a562 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a563 )
& ( c1_1 @ a563 )
& ( c3_1 @ a563 ) ) )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp28
| hskp2 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp5
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_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 )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp8
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp8
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp11
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp10
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp31 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp13
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp15
| hskp2 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp3
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp12
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp13
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp21
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp3
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp25
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp15
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp30
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp25
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp5
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp26
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp10
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp20
| hskp14 )
& ( hskp28
| hskp15
| hskp23 )
& ( hskp31
| hskp12
| hskp14 )
& ( hskp31
| hskp10
| hskp16 )
& ( hskp31
| hskp20
| hskp22 )
& ( hskp5
| hskp27
| hskp25 )
& ( hskp5
| hskp10
| hskp14 )
& ( hskp12
| hskp7
| hskp4 )
& ( hskp13
| hskp24
| hskp6 )
& ( hskp13
| hskp14
| hskp6 )
& ( hskp13
| hskp25
| hskp22 )
& ( hskp3
| hskp24
| hskp18 )
& ( hskp26
| hskp7
| hskp22 )
& ( hskp26
| hskp6
| hskp2 )
& ( hskp24
| hskp9
| hskp2 )
& ( hskp21
| hskp22
| hskp23 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(351,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN510+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:33:28 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.90/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.41/0.98 % [INFO] Parsing done (151ms).
% 1.41/0.99 % [INFO] Running in sequential loop mode.
% 1.77/1.18 % [INFO] eprover registered as external prover.
% 1.77/1.18 % [INFO] cvc4 registered as external prover.
% 1.77/1.19 % [INFO] Scanning for conjecture ...
% 2.47/1.46 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.67/1.54 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.67/1.54 % [INFO] Problem is first-order (TPTP FOF).
% 2.67/1.55 % [INFO] Type checking passed.
% 2.67/1.55 % [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 ...
% 7.73/3.24 % External prover 'cvc4' found a proof!
% 7.73/3.24 % [INFO] Killing All external provers ...
% 7.73/3.24 % Time passed: 2727ms (effective reasoning time: 2247ms)
% 7.73/3.24 % 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)>
% 7.73/3.24 % Axioms used in derivation (0):
% 7.73/3.24 % No. of inferences in proof: 4
% 7.73/3.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2727 ms resp. 2247 ms w/o parsing
% 7.73/3.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.73/3.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------