TSTP Solution File: SYN487+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 12:29:02 EDT 2023
% Result : Theorem 7.98s 3.24s
% Output : Refutation 8.10s
% 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 : 2023 ( 0 equ; 0 cnn)
% Maximal formula atoms : 674 ( 505 avg)
% Number of connectives : 3881 ( 701 ~;1122 |; 606 &;1161 @)
% ( 0 <=>; 291 =>; 0 <=; 0 <~>)
% Maximal formula depth : 111 ( 83 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 : 291 ( 0 ^; 291 !; 0 ?; 291 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp0_type,type,
hskp0: $o ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a2276_type,type,
a2276: $i ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(a2277_type,type,
a2277: $i ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(a2279_type,type,
a2279: $i ).
thf(hskp3_type,type,
hskp3: $o ).
thf(a2280_type,type,
a2280: $i ).
thf(hskp4_type,type,
hskp4: $o ).
thf(a2282_type,type,
a2282: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(a2284_type,type,
a2284: $i ).
thf(hskp6_type,type,
hskp6: $o ).
thf(a2285_type,type,
a2285: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(a2286_type,type,
a2286: $i ).
thf(hskp8_type,type,
hskp8: $o ).
thf(a2287_type,type,
a2287: $i ).
thf(hskp9_type,type,
hskp9: $o ).
thf(a2291_type,type,
a2291: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a2293_type,type,
a2293: $i ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a2294_type,type,
a2294: $i ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a2295_type,type,
a2295: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(a2299_type,type,
a2299: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(a2302_type,type,
a2302: $i ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a2303_type,type,
a2303: $i ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a2304_type,type,
a2304: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a2306_type,type,
a2306: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a2308_type,type,
a2308: $i ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a2316_type,type,
a2316: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(a2323_type,type,
a2323: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a2324_type,type,
a2324: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(a2325_type,type,
a2325: $i ).
thf(hskp23_type,type,
hskp23: $o ).
thf(a2327_type,type,
a2327: $i ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a2337_type,type,
a2337: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(a2342_type,type,
a2342: $i ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a2345_type,type,
a2345: $i ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a2367_type,type,
a2367: $i ).
thf(hskp28_type,type,
hskp28: $o ).
thf(a2278_type,type,
a2278: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(a2309_type,type,
a2309: $i ).
thf(hskp30_type,type,
hskp30: $o ).
thf(a2315_type,type,
a2315: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a2387_type,type,
a2387: $i ).
thf(1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a2276 )
& ( c3_1 @ a2276 )
& ~ ( c0_1 @ a2276 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a2277 )
& ( c1_1 @ a2277 )
& ~ ( c2_1 @ a2277 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a2279 )
& ~ ( c2_1 @ a2279 )
& ~ ( c3_1 @ a2279 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c1_1 @ a2280 )
& ( c3_1 @ a2280 )
& ~ ( c2_1 @ a2280 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a2282 )
& ~ ( c0_1 @ a2282 )
& ~ ( c3_1 @ a2282 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a2284 )
& ~ ( c1_1 @ a2284 )
& ~ ( c3_1 @ a2284 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a2285 )
& ( c1_1 @ a2285 )
& ~ ( c3_1 @ a2285 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a2286 )
& ~ ( c0_1 @ a2286 )
& ~ ( c2_1 @ a2286 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a2287 )
& ( c2_1 @ a2287 )
& ~ ( c1_1 @ a2287 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a2291 )
& ~ ( c1_1 @ a2291 )
& ~ ( c2_1 @ a2291 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a2293 )
& ( c2_1 @ a2293 )
& ~ ( c3_1 @ a2293 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a2294 )
& ~ ( c1_1 @ a2294 )
& ~ ( c2_1 @ a2294 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a2295 )
& ~ ( c1_1 @ a2295 )
& ~ ( c3_1 @ a2295 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c2_1 @ a2299 )
& ~ ( c1_1 @ a2299 )
& ~ ( c3_1 @ a2299 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a2302 )
& ( c3_1 @ a2302 )
& ~ ( c0_1 @ a2302 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a2303 )
& ( c2_1 @ a2303 )
& ~ ( c3_1 @ a2303 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ ( c0_1 @ a2304 )
& ~ ( c2_1 @ a2304 )
& ~ ( c3_1 @ a2304 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c1_1 @ a2306 )
& ~ ( c2_1 @ a2306 )
& ~ ( c3_1 @ a2306 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c3_1 @ a2308 )
& ~ ( c1_1 @ a2308 )
& ~ ( c2_1 @ a2308 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a2316 )
& ~ ( c2_1 @ a2316 )
& ~ ( c3_1 @ a2316 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c2_1 @ a2323 )
& ( c3_1 @ a2323 )
& ~ ( c1_1 @ a2323 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a2324 )
& ~ ( c0_1 @ a2324 )
& ~ ( c3_1 @ a2324 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a2325 )
& ~ ( c0_1 @ a2325 )
& ~ ( c1_1 @ a2325 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a2327 )
& ~ ( c0_1 @ a2327 )
& ~ ( c2_1 @ a2327 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a2337 )
& ( c3_1 @ a2337 )
& ~ ( c1_1 @ a2337 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a2342 )
& ( c3_1 @ a2342 )
& ~ ( c2_1 @ a2342 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c3_1 @ a2345 )
& ~ ( c0_1 @ a2345 )
& ~ ( c1_1 @ a2345 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a2367 )
& ( c2_1 @ a2367 )
& ~ ( c0_1 @ a2367 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a2278 )
& ( c1_1 @ a2278 )
& ( c3_1 @ a2278 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a2309 )
& ( c1_1 @ a2309 )
& ( c2_1 @ a2309 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a2315 )
& ( c2_1 @ a2315 )
& ( c3_1 @ a2315 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a2387 )
& ( c2_1 @ a2387 )
& ( c3_1 @ a2387 ) ) )
& ( ! [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 )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( ! [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 ) ) )
| hskp28 )
& ( ! [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 )
| ( c2_1 @ A ) ) )
| hskp0
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_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 )
| ~ ( c2_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp6
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8
| hskp7 )
& ( ! [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
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp28
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp6
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp11
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp28
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp1
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp15
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_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 ) ) ) )
& ( ! [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 ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp8 )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14
| hskp17 )
& ( ! [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 ) ) )
| hskp8 )
& ( ! [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 ) ) )
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp12
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp30
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp20 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp21
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp23 )
& ( ! [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 ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_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
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp1
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp24
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp14 )
& ( ! [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 ) ) )
| hskp25 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp24
| hskp25 )
& ( ! [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 ) ) )
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp12
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp30
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp21
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp30
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp13
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp25
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp9 )
& ( hskp29
| hskp27
| hskp3 )
& ( hskp28
| hskp0
| hskp13 )
& ( hskp28
| hskp26
| hskp16 )
& ( hskp1
| hskp14
| hskp20 )
& ( hskp6
| hskp11
| hskp30 )
& ( hskp6
| hskp12
| hskp0 )
& ( hskp31
| hskp7
| hskp14 )
& ( hskp31
| hskp22
| hskp18 )
& ( hskp8
| hskp10
| hskp19 )
& ( hskp24
| hskp22
| hskp13 )
& ( hskp3
| hskp14
| hskp22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a2276 )
& ( c3_1 @ a2276 )
& ~ ( c0_1 @ a2276 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a2277 )
& ( c1_1 @ a2277 )
& ~ ( c2_1 @ a2277 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a2279 )
& ~ ( c2_1 @ a2279 )
& ~ ( c3_1 @ a2279 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c1_1 @ a2280 )
& ( c3_1 @ a2280 )
& ~ ( c2_1 @ a2280 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a2282 )
& ~ ( c0_1 @ a2282 )
& ~ ( c3_1 @ a2282 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a2284 )
& ~ ( c1_1 @ a2284 )
& ~ ( c3_1 @ a2284 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a2285 )
& ( c1_1 @ a2285 )
& ~ ( c3_1 @ a2285 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a2286 )
& ~ ( c0_1 @ a2286 )
& ~ ( c2_1 @ a2286 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a2287 )
& ( c2_1 @ a2287 )
& ~ ( c1_1 @ a2287 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a2291 )
& ~ ( c1_1 @ a2291 )
& ~ ( c2_1 @ a2291 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a2293 )
& ( c2_1 @ a2293 )
& ~ ( c3_1 @ a2293 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a2294 )
& ~ ( c1_1 @ a2294 )
& ~ ( c2_1 @ a2294 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a2295 )
& ~ ( c1_1 @ a2295 )
& ~ ( c3_1 @ a2295 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c2_1 @ a2299 )
& ~ ( c1_1 @ a2299 )
& ~ ( c3_1 @ a2299 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a2302 )
& ( c3_1 @ a2302 )
& ~ ( c0_1 @ a2302 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a2303 )
& ( c2_1 @ a2303 )
& ~ ( c3_1 @ a2303 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ ( c0_1 @ a2304 )
& ~ ( c2_1 @ a2304 )
& ~ ( c3_1 @ a2304 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c1_1 @ a2306 )
& ~ ( c2_1 @ a2306 )
& ~ ( c3_1 @ a2306 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c3_1 @ a2308 )
& ~ ( c1_1 @ a2308 )
& ~ ( c2_1 @ a2308 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a2316 )
& ~ ( c2_1 @ a2316 )
& ~ ( c3_1 @ a2316 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c2_1 @ a2323 )
& ( c3_1 @ a2323 )
& ~ ( c1_1 @ a2323 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a2324 )
& ~ ( c0_1 @ a2324 )
& ~ ( c3_1 @ a2324 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a2325 )
& ~ ( c0_1 @ a2325 )
& ~ ( c1_1 @ a2325 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a2327 )
& ~ ( c0_1 @ a2327 )
& ~ ( c2_1 @ a2327 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a2337 )
& ( c3_1 @ a2337 )
& ~ ( c1_1 @ a2337 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a2342 )
& ( c3_1 @ a2342 )
& ~ ( c2_1 @ a2342 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c3_1 @ a2345 )
& ~ ( c0_1 @ a2345 )
& ~ ( c1_1 @ a2345 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a2367 )
& ( c2_1 @ a2367 )
& ~ ( c0_1 @ a2367 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a2278 )
& ( c1_1 @ a2278 )
& ( c3_1 @ a2278 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a2309 )
& ( c1_1 @ a2309 )
& ( c2_1 @ a2309 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a2315 )
& ( c2_1 @ a2315 )
& ( c3_1 @ a2315 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a2387 )
& ( c2_1 @ a2387 )
& ( c3_1 @ a2387 ) ) )
& ( ! [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 )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( ! [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 ) ) )
| hskp28 )
& ( ! [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 )
| ( c2_1 @ A ) ) )
| hskp0
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_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 )
| ~ ( c2_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp6
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8
| hskp7 )
& ( ! [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
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp28
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp6
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp11
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp28
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp1
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp15
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_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 ) ) ) )
& ( ! [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 ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp8 )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14
| hskp17 )
& ( ! [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 ) ) )
| hskp8 )
& ( ! [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 ) ) )
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp12
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp30
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp20 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp21
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp23 )
& ( ! [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 ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_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
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp1
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp24
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp14 )
& ( ! [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 ) ) )
| hskp25 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp24
| hskp25 )
& ( ! [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 ) ) )
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp12
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp30
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp21
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp30
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp13
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp25
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp9 )
& ( hskp29
| hskp27
| hskp3 )
& ( hskp28
| hskp0
| hskp13 )
& ( hskp28
| hskp26
| hskp16 )
& ( hskp1
| hskp14
| hskp20 )
& ( hskp6
| hskp11
| hskp30 )
& ( hskp6
| hskp12
| hskp0 )
& ( hskp31
| hskp7
| hskp14 )
& ( hskp31
| hskp22
| hskp18 )
& ( hskp8
| hskp10
| hskp19 )
& ( hskp24
| hskp22
| hskp13 )
& ( hskp3
| hskp14
| hskp22 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c1_1 @ a2276 )
& ( c3_1 @ a2276 )
& ~ ( c0_1 @ a2276 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c0_1 @ a2277 )
& ( c1_1 @ a2277 )
& ~ ( c2_1 @ a2277 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c0_1 @ a2279 )
& ~ ( c2_1 @ a2279 )
& ~ ( c3_1 @ a2279 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c1_1 @ a2280 )
& ( c3_1 @ a2280 )
& ~ ( c2_1 @ a2280 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c2_1 @ a2282 )
& ~ ( c0_1 @ a2282 )
& ~ ( c3_1 @ a2282 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a2284 )
& ~ ( c1_1 @ a2284 )
& ~ ( c3_1 @ a2284 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ( c0_1 @ a2285 )
& ( c1_1 @ a2285 )
& ~ ( c3_1 @ a2285 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c1_1 @ a2286 )
& ~ ( c0_1 @ a2286 )
& ~ ( c2_1 @ a2286 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a2287 )
& ( c2_1 @ a2287 )
& ~ ( c1_1 @ a2287 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c0_1 @ a2291 )
& ~ ( c1_1 @ a2291 )
& ~ ( c2_1 @ a2291 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c0_1 @ a2293 )
& ( c2_1 @ a2293 )
& ~ ( c3_1 @ a2293 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a2294 )
& ~ ( c1_1 @ a2294 )
& ~ ( c2_1 @ a2294 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c0_1 @ a2295 )
& ~ ( c1_1 @ a2295 )
& ~ ( c3_1 @ a2295 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c2_1 @ a2299 )
& ~ ( c1_1 @ a2299 )
& ~ ( c3_1 @ a2299 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ( c2_1 @ a2302 )
& ( c3_1 @ a2302 )
& ~ ( c0_1 @ a2302 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c1_1 @ a2303 )
& ( c2_1 @ a2303 )
& ~ ( c3_1 @ a2303 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ ( c0_1 @ a2304 )
& ~ ( c2_1 @ a2304 )
& ~ ( c3_1 @ a2304 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c1_1 @ a2306 )
& ~ ( c2_1 @ a2306 )
& ~ ( c3_1 @ a2306 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c3_1 @ a2308 )
& ~ ( c1_1 @ a2308 )
& ~ ( c2_1 @ a2308 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a2316 )
& ~ ( c2_1 @ a2316 )
& ~ ( c3_1 @ a2316 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c2_1 @ a2323 )
& ( c3_1 @ a2323 )
& ~ ( c1_1 @ a2323 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c1_1 @ a2324 )
& ~ ( c0_1 @ a2324 )
& ~ ( c3_1 @ a2324 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a2325 )
& ~ ( c0_1 @ a2325 )
& ~ ( c1_1 @ a2325 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a2327 )
& ~ ( c0_1 @ a2327 )
& ~ ( c2_1 @ a2327 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c0_1 @ a2337 )
& ( c3_1 @ a2337 )
& ~ ( c1_1 @ a2337 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c0_1 @ a2342 )
& ( c3_1 @ a2342 )
& ~ ( c2_1 @ a2342 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ( c3_1 @ a2345 )
& ~ ( c0_1 @ a2345 )
& ~ ( c1_1 @ a2345 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c1_1 @ a2367 )
& ( c2_1 @ a2367 )
& ~ ( c0_1 @ a2367 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c0_1 @ a2278 )
& ( c1_1 @ a2278 )
& ( c3_1 @ a2278 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ( c0_1 @ a2309 )
& ( c1_1 @ a2309 )
& ( c2_1 @ a2309 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ( c1_1 @ a2315 )
& ( c2_1 @ a2315 )
& ( c3_1 @ a2315 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a2387 )
& ( c2_1 @ a2387 )
& ( c3_1 @ a2387 ) ) )
& ( ! [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 )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( ! [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 ) ) )
| hskp28 )
& ( ! [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 )
| ( c2_1 @ A ) ) )
| hskp0
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_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 )
| ~ ( c2_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp6
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8
| hskp7 )
& ( ! [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
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp28
| hskp9 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp6
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp11
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp28
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp11 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp1
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp15
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp14
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp17 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_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 ) ) ) )
& ( ! [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 ) ) )
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp29
| hskp8 )
& ( ! [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 ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp14
| hskp17 )
& ( ! [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 ) ) )
| hskp8 )
& ( ! [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 ) ) )
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp29
| hskp8 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp12
| hskp13 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp30
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp20 )
& ( ! [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 ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp21
| hskp22 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp23 )
& ( ! [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 ) ) )
| hskp1 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp0 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_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
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp19
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp1
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp24
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp14 )
& ( ! [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 ) ) )
| hskp25 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp24
| hskp25 )
& ( ! [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 ) ) )
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp12
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp30
| hskp21 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp3 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp21
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp30
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7
| hskp19 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp2
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp13
| hskp18 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp8
| hskp5 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp25
| hskp23 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp27
| hskp9 )
& ( hskp29
| hskp27
| hskp3 )
& ( hskp28
| hskp0
| hskp13 )
& ( hskp28
| hskp26
| hskp16 )
& ( hskp1
| hskp14
| hskp20 )
& ( hskp6
| hskp11
| hskp30 )
& ( hskp6
| hskp12
| hskp0 )
& ( hskp31
| hskp7
| hskp14 )
& ( hskp31
| hskp22
| hskp18 )
& ( hskp8
| hskp10
| hskp19 )
& ( hskp24
| hskp22
| hskp13 )
& ( hskp3
| hskp14
| hskp22 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(307,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13 % Command : run_Leo-III %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 19:39:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.79/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.30/1.04 % [INFO] Parsing done (211ms).
% 1.30/1.05 % [INFO] Running in sequential loop mode.
% 1.74/1.26 % [INFO] eprover registered as external prover.
% 1.74/1.27 % [INFO] cvc4 registered as external prover.
% 1.74/1.27 % [INFO] Scanning for conjecture ...
% 2.37/1.55 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.61/1.63 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.61/1.63 % [INFO] Problem is first-order (TPTP FOF).
% 2.61/1.64 % [INFO] Type checking passed.
% 2.61/1.65 % [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 ...
% 7.98/3.23 % External prover 'cvc4' found a proof!
% 7.98/3.23 % [INFO] Killing All external provers ...
% 7.98/3.24 % Time passed: 2738ms (effective reasoning time: 2182ms)
% 7.98/3.24 % 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)>
% 7.98/3.24 % Axioms used in derivation (0):
% 7.98/3.24 % No. of inferences in proof: 4
% 7.98/3.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2738 ms resp. 2182 ms w/o parsing
% 8.10/3.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.10/3.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------