TSTP Solution File: SYN436+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN436+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 12:28:44 EDT 2023
% Result : Theorem 10.42s 3.38s
% Output : Refutation 10.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 62
% Syntax : Number of formulae : 65 ( 1 unt; 61 typ; 0 def)
% Number of atoms : 1339 ( 0 equ; 0 cnn)
% Maximal formula atoms : 446 ( 334 avg)
% Number of connectives : 2636 ( 482 ~; 693 |; 453 &; 819 @)
% ( 0 <=>; 189 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 55 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 61 usr; 58 con; 0-1 aty)
% Number of variables : 189 ( 0 ^; 189 !; 0 ?; 189 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp0_type,type,
hskp0: $o ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a1_type,type,
a1: $i ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(a2_type,type,
a2: $i ).
thf(hskp2_type,type,
hskp2: $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a4_type,type,
a4: $i ).
thf(hskp3_type,type,
hskp3: $o ).
thf(a5_type,type,
a5: $i ).
thf(hskp4_type,type,
hskp4: $o ).
thf(a6_type,type,
a6: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(a7_type,type,
a7: $i ).
thf(hskp6_type,type,
hskp6: $o ).
thf(a8_type,type,
a8: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(a14_type,type,
a14: $i ).
thf(hskp8_type,type,
hskp8: $o ).
thf(a15_type,type,
a15: $i ).
thf(hskp9_type,type,
hskp9: $o ).
thf(a16_type,type,
a16: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a18_type,type,
a18: $i ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a19_type,type,
a19: $i ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a21_type,type,
a21: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(a22_type,type,
a22: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(a24_type,type,
a24: $i ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a25_type,type,
a25: $i ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a30_type,type,
a30: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a31_type,type,
a31: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a32_type,type,
a32: $i ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a33_type,type,
a33: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(a37_type,type,
a37: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a42_type,type,
a42: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(a45_type,type,
a45: $i ).
thf(hskp23_type,type,
hskp23: $o ).
thf(a53_type,type,
a53: $i ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a3_type,type,
a3: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(a9_type,type,
a9: $i ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a10_type,type,
a10: $i ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a11_type,type,
a11: $i ).
thf(1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c3_1 @ a1 )
& ~ ( c0_1 @ a1 )
& ~ ( c2_1 @ a1 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a2 )
& ~ ( c0_1 @ a2 )
& ~ ( c3_1 @ a2 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c1_1 @ a4 )
& ~ ( c2_1 @ a4 )
& ~ ( c3_1 @ a4 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c1_1 @ a5 )
& ~ ( c2_1 @ a5 )
& ~ ( c3_1 @ a5 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c1_1 @ a6 )
& ( c3_1 @ a6 )
& ~ ( c2_1 @ a6 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a7 )
& ( c3_1 @ a7 )
& ~ ( c0_1 @ a7 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a8 )
& ( c1_1 @ a8 )
& ~ ( c2_1 @ a8 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a14 )
& ( c3_1 @ a14 )
& ~ ( c2_1 @ a14 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a15 )
& ~ ( c1_1 @ a15 )
& ~ ( c2_1 @ a15 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a16 )
& ~ ( c2_1 @ a16 )
& ~ ( c3_1 @ a16 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a18 )
& ( c2_1 @ a18 )
& ~ ( c3_1 @ a18 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a19 )
& ~ ( c1_1 @ a19 )
& ~ ( c3_1 @ a19 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a21 )
& ~ ( c1_1 @ a21 )
& ~ ( c2_1 @ a21 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c0_1 @ a22 )
& ~ ( c2_1 @ a22 )
& ~ ( c3_1 @ a22 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a24 )
& ~ ( c0_1 @ a24 )
& ~ ( c1_1 @ a24 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a25 )
& ( c1_1 @ a25 )
& ~ ( c3_1 @ a25 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a30 )
& ~ ( c0_1 @ a30 )
& ~ ( c2_1 @ a30 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a31 )
& ( c2_1 @ a31 )
& ~ ( c1_1 @ a31 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a32 )
& ~ ( c1_1 @ a32 )
& ~ ( c3_1 @ a32 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c2_1 @ a33 )
& ( c3_1 @ a33 )
& ~ ( c0_1 @ a33 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a37 )
& ~ ( c0_1 @ a37 )
& ~ ( c3_1 @ a37 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a42 )
& ( c3_1 @ a42 )
& ~ ( c1_1 @ a42 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a45 )
& ~ ( c1_1 @ a45 )
& ~ ( c3_1 @ a45 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a53 )
& ~ ( c0_1 @ a53 )
& ~ ( c1_1 @ a53 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a3 )
& ( c2_1 @ a3 )
& ( c3_1 @ a3 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a9 )
& ( c1_1 @ a9 )
& ( c2_1 @ a9 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a10 )
& ( c2_1 @ a10 )
& ( c3_1 @ a10 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a11 )
& ( c1_1 @ a11 )
& ( c3_1 @ a11 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [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 ) ) ) )
& ( ! [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 ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_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 )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_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
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp5 )
& ( ! [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 ) ) )
| hskp6 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp25
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp27
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp27
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp8
| hskp9 )
& ( ! [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 ) ) )
| hskp4 )
& ( ! [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 ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp2
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp15 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_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 )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp26
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp17
| hskp18 )
& ( ! [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 ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp9
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp10 )
& ( hskp25
| hskp17
| hskp21 )
& ( hskp6
| hskp26
| hskp22 )
& ( hskp17
| hskp8
| hskp4 )
& ( hskp7
| hskp9
| hskp13 )
& ( hskp24
| hskp23
| hskp0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c3_1 @ a1 )
& ~ ( c0_1 @ a1 )
& ~ ( c2_1 @ a1 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a2 )
& ~ ( c0_1 @ a2 )
& ~ ( c3_1 @ a2 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c1_1 @ a4 )
& ~ ( c2_1 @ a4 )
& ~ ( c3_1 @ a4 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c1_1 @ a5 )
& ~ ( c2_1 @ a5 )
& ~ ( c3_1 @ a5 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c1_1 @ a6 )
& ( c3_1 @ a6 )
& ~ ( c2_1 @ a6 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a7 )
& ( c3_1 @ a7 )
& ~ ( c0_1 @ a7 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a8 )
& ( c1_1 @ a8 )
& ~ ( c2_1 @ a8 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a14 )
& ( c3_1 @ a14 )
& ~ ( c2_1 @ a14 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a15 )
& ~ ( c1_1 @ a15 )
& ~ ( c2_1 @ a15 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a16 )
& ~ ( c2_1 @ a16 )
& ~ ( c3_1 @ a16 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a18 )
& ( c2_1 @ a18 )
& ~ ( c3_1 @ a18 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a19 )
& ~ ( c1_1 @ a19 )
& ~ ( c3_1 @ a19 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a21 )
& ~ ( c1_1 @ a21 )
& ~ ( c2_1 @ a21 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c0_1 @ a22 )
& ~ ( c2_1 @ a22 )
& ~ ( c3_1 @ a22 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a24 )
& ~ ( c0_1 @ a24 )
& ~ ( c1_1 @ a24 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a25 )
& ( c1_1 @ a25 )
& ~ ( c3_1 @ a25 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a30 )
& ~ ( c0_1 @ a30 )
& ~ ( c2_1 @ a30 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a31 )
& ( c2_1 @ a31 )
& ~ ( c1_1 @ a31 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a32 )
& ~ ( c1_1 @ a32 )
& ~ ( c3_1 @ a32 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c2_1 @ a33 )
& ( c3_1 @ a33 )
& ~ ( c0_1 @ a33 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a37 )
& ~ ( c0_1 @ a37 )
& ~ ( c3_1 @ a37 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a42 )
& ( c3_1 @ a42 )
& ~ ( c1_1 @ a42 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a45 )
& ~ ( c1_1 @ a45 )
& ~ ( c3_1 @ a45 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a53 )
& ~ ( c0_1 @ a53 )
& ~ ( c1_1 @ a53 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a3 )
& ( c2_1 @ a3 )
& ( c3_1 @ a3 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a9 )
& ( c1_1 @ a9 )
& ( c2_1 @ a9 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a10 )
& ( c2_1 @ a10 )
& ( c3_1 @ a10 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a11 )
& ( c1_1 @ a11 )
& ( c3_1 @ a11 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [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 ) ) ) )
& ( ! [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 ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_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 )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_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
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp5 )
& ( ! [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 ) ) )
| hskp6 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp25
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp27
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp27
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp8
| hskp9 )
& ( ! [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 ) ) )
| hskp4 )
& ( ! [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 ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp2
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp15 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_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 )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp26
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp17
| hskp18 )
& ( ! [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 ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp9
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp10 )
& ( hskp25
| hskp17
| hskp21 )
& ( hskp6
| hskp26
| hskp22 )
& ( hskp17
| hskp8
| hskp4 )
& ( hskp7
| hskp9
| hskp13 )
& ( hskp24
| hskp23
| hskp0 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c3_1 @ a1 )
& ~ ( c0_1 @ a1 )
& ~ ( c2_1 @ a1 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a2 )
& ~ ( c0_1 @ a2 )
& ~ ( c3_1 @ a2 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c1_1 @ a4 )
& ~ ( c2_1 @ a4 )
& ~ ( c3_1 @ a4 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c1_1 @ a5 )
& ~ ( c2_1 @ a5 )
& ~ ( c3_1 @ a5 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c1_1 @ a6 )
& ( c3_1 @ a6 )
& ~ ( c2_1 @ a6 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a7 )
& ( c3_1 @ a7 )
& ~ ( c0_1 @ a7 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a8 )
& ( c1_1 @ a8 )
& ~ ( c2_1 @ a8 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a14 )
& ( c3_1 @ a14 )
& ~ ( c2_1 @ a14 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a15 )
& ~ ( c1_1 @ a15 )
& ~ ( c2_1 @ a15 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ( c0_1 @ a16 )
& ~ ( c2_1 @ a16 )
& ~ ( c3_1 @ a16 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a18 )
& ( c2_1 @ a18 )
& ~ ( c3_1 @ a18 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c2_1 @ a19 )
& ~ ( c1_1 @ a19 )
& ~ ( c3_1 @ a19 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c0_1 @ a21 )
& ~ ( c1_1 @ a21 )
& ~ ( c2_1 @ a21 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ~ ( c0_1 @ a22 )
& ~ ( c2_1 @ a22 )
& ~ ( c3_1 @ a22 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a24 )
& ~ ( c0_1 @ a24 )
& ~ ( c1_1 @ a24 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c0_1 @ a25 )
& ( c1_1 @ a25 )
& ~ ( c3_1 @ a25 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c1_1 @ a30 )
& ~ ( c0_1 @ a30 )
& ~ ( c2_1 @ a30 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ( c0_1 @ a31 )
& ( c2_1 @ a31 )
& ~ ( c1_1 @ a31 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ~ ( c0_1 @ a32 )
& ~ ( c1_1 @ a32 )
& ~ ( c3_1 @ a32 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c2_1 @ a33 )
& ( c3_1 @ a33 )
& ~ ( c0_1 @ a33 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a37 )
& ~ ( c0_1 @ a37 )
& ~ ( c3_1 @ a37 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a42 )
& ( c3_1 @ a42 )
& ~ ( c1_1 @ a42 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a45 )
& ~ ( c1_1 @ a45 )
& ~ ( c3_1 @ a45 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a53 )
& ~ ( c0_1 @ a53 )
& ~ ( c1_1 @ a53 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a3 )
& ( c2_1 @ a3 )
& ( c3_1 @ a3 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a9 )
& ( c1_1 @ a9 )
& ( c2_1 @ a9 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c0_1 @ a10 )
& ( c2_1 @ a10 )
& ( c3_1 @ a10 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c0_1 @ a11 )
& ( c1_1 @ a11 )
& ( c3_1 @ a11 ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [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 ) ) ) )
& ( ! [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 ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_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 )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_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
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp5 )
& ( ! [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 ) ) )
| hskp6 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp25
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp27
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp27
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp8
| hskp9 )
& ( ! [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 ) ) )
| hskp4 )
& ( ! [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 ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp2
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp15 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_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 )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp26
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp17
| hskp18 )
& ( ! [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 ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp9
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp26
| hskp20 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp6
| hskp10 )
& ( hskp25
| hskp17
| hskp21 )
& ( hskp6
| hskp26
| hskp22 )
& ( hskp17
| hskp8
| hskp4 )
& ( hskp7
| hskp9
| hskp13 )
& ( hskp24
| hskp23
| hskp0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(489,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN436+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n018.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu May 18 19:59:44 EDT 2023
% 0.17/0.37 % CPUTime :
% 1.02/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.08 % [INFO] Parsing done (165ms).
% 1.59/1.08 % [INFO] Running in sequential loop mode.
% 1.92/1.30 % [INFO] eprover registered as external prover.
% 1.92/1.30 % [INFO] cvc4 registered as external prover.
% 1.92/1.30 % [INFO] Scanning for conjecture ...
% 2.68/1.52 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.71/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.71/1.59 % [INFO] Problem is first-order (TPTP FOF).
% 2.71/1.60 % [INFO] Type checking passed.
% 2.71/1.60 % [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 ...
% 10.03/3.37 % External prover 'cvc4' found a proof!
% 10.42/3.37 % [INFO] Killing All external provers ...
% 10.42/3.38 % Time passed: 2840ms (effective reasoning time: 2287ms)
% 10.42/3.38 % 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)>
% 10.42/3.38 % Axioms used in derivation (0):
% 10.42/3.38 % No. of inferences in proof: 4
% 10.42/3.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2840 ms resp. 2287 ms w/o parsing
% 10.42/3.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.42/3.45 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------