TSTP Solution File: SYN460+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN460+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 12:28:52 EDT 2023
% Result : Theorem 13.00s 4.11s
% Output : Refutation 13.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 124
% Syntax : Number of formulae : 127 ( 1 unt; 123 typ; 0 def)
% Number of atoms : 2359 ( 0 equ; 0 cnn)
% Maximal formula atoms : 786 ( 589 avg)
% Number of connectives : 4691 ( 869 ~;1158 |; 885 &;1467 @)
% ( 0 <=>; 312 =>; 0 <=; 0 <~>)
% Maximal formula depth : 129 ( 97 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 124 ( 123 usr; 120 con; 0-1 aty)
% Number of variables : 312 ( 0 ^; 312 !; 0 ?; 312 :)
% 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(a2181_type,type,
a2181: $i ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(a2182_type,type,
a2182: $i ).
thf(hskp2_type,type,
hskp2: $o ).
thf(a2187_type,type,
a2187: $i ).
thf(hskp3_type,type,
hskp3: $o ).
thf(a2190_type,type,
a2190: $i ).
thf(hskp4_type,type,
hskp4: $o ).
thf(a2191_type,type,
a2191: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(a2192_type,type,
a2192: $i ).
thf(hskp6_type,type,
hskp6: $o ).
thf(a2197_type,type,
a2197: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(a2198_type,type,
a2198: $i ).
thf(hskp8_type,type,
hskp8: $o ).
thf(a2202_type,type,
a2202: $i ).
thf(hskp9_type,type,
hskp9: $o ).
thf(a2203_type,type,
a2203: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a2206_type,type,
a2206: $i ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a2209_type,type,
a2209: $i ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a2211_type,type,
a2211: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(a2212_type,type,
a2212: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(a2213_type,type,
a2213: $i ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a2217_type,type,
a2217: $i ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a2220_type,type,
a2220: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a2221_type,type,
a2221: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a2222_type,type,
a2222: $i ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a2233_type,type,
a2233: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(a2237_type,type,
a2237: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a2239_type,type,
a2239: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(a2244_type,type,
a2244: $i ).
thf(hskp23_type,type,
hskp23: $o ).
thf(a2245_type,type,
a2245: $i ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a2246_type,type,
a2246: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(a2249_type,type,
a2249: $i ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a2178_type,type,
a2178: $i ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a2179_type,type,
a2179: $i ).
thf(hskp28_type,type,
hskp28: $o ).
thf(a2180_type,type,
a2180: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(a2183_type,type,
a2183: $i ).
thf(hskp30_type,type,
hskp30: $o ).
thf(a2184_type,type,
a2184: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a2185_type,type,
a2185: $i ).
thf(hskp32_type,type,
hskp32: $o ).
thf(a2186_type,type,
a2186: $i ).
thf(hskp33_type,type,
hskp33: $o ).
thf(a2188_type,type,
a2188: $i ).
thf(hskp34_type,type,
hskp34: $o ).
thf(a2189_type,type,
a2189: $i ).
thf(hskp35_type,type,
hskp35: $o ).
thf(a2193_type,type,
a2193: $i ).
thf(hskp36_type,type,
hskp36: $o ).
thf(a2194_type,type,
a2194: $i ).
thf(hskp37_type,type,
hskp37: $o ).
thf(a2196_type,type,
a2196: $i ).
thf(hskp38_type,type,
hskp38: $o ).
thf(a2200_type,type,
a2200: $i ).
thf(hskp39_type,type,
hskp39: $o ).
thf(a2201_type,type,
a2201: $i ).
thf(hskp40_type,type,
hskp40: $o ).
thf(a2204_type,type,
a2204: $i ).
thf(hskp41_type,type,
hskp41: $o ).
thf(a2205_type,type,
a2205: $i ).
thf(hskp42_type,type,
hskp42: $o ).
thf(a2207_type,type,
a2207: $i ).
thf(hskp43_type,type,
hskp43: $o ).
thf(a2208_type,type,
a2208: $i ).
thf(hskp44_type,type,
hskp44: $o ).
thf(a2215_type,type,
a2215: $i ).
thf(hskp45_type,type,
hskp45: $o ).
thf(a2216_type,type,
a2216: $i ).
thf(hskp46_type,type,
hskp46: $o ).
thf(a2218_type,type,
a2218: $i ).
thf(hskp47_type,type,
hskp47: $o ).
thf(a2226_type,type,
a2226: $i ).
thf(hskp48_type,type,
hskp48: $o ).
thf(a2228_type,type,
a2228: $i ).
thf(hskp49_type,type,
hskp49: $o ).
thf(a2229_type,type,
a2229: $i ).
thf(hskp50_type,type,
hskp50: $o ).
thf(a2231_type,type,
a2231: $i ).
thf(hskp51_type,type,
hskp51: $o ).
thf(a2232_type,type,
a2232: $i ).
thf(hskp52_type,type,
hskp52: $o ).
thf(a2234_type,type,
a2234: $i ).
thf(hskp53_type,type,
hskp53: $o ).
thf(a2235_type,type,
a2235: $i ).
thf(hskp54_type,type,
hskp54: $o ).
thf(a2240_type,type,
a2240: $i ).
thf(hskp55_type,type,
hskp55: $o ).
thf(a2241_type,type,
a2241: $i ).
thf(hskp56_type,type,
hskp56: $o ).
thf(a2242_type,type,
a2242: $i ).
thf(hskp57_type,type,
hskp57: $o ).
thf(a2243_type,type,
a2243: $i ).
thf(hskp58_type,type,
hskp58: $o ).
thf(a2252_type,type,
a2252: $i ).
thf(1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ ( c0_1 @ a2181 )
& ~ ( c1_1 @ a2181 )
& ~ ( c2_1 @ a2181 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c3_1 @ a2182 )
& ~ ( c0_1 @ a2182 )
& ~ ( c2_1 @ a2182 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c3_1 @ a2187 )
& ( c1_1 @ a2187 )
& ~ ( c2_1 @ a2187 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a2190 )
& ~ ( c1_1 @ a2190 )
& ~ ( c0_1 @ a2190 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a2191 )
& ~ ( c2_1 @ a2191 )
& ~ ( c1_1 @ a2191 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a2192 )
& ( c1_1 @ a2192 )
& ~ ( c3_1 @ a2192 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c0_1 @ a2197 )
& ~ ( c3_1 @ a2197 )
& ~ ( c1_1 @ a2197 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a2198 )
& ( c0_1 @ a2198 )
& ~ ( c3_1 @ a2198 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c2_1 @ a2202 )
& ~ ( c1_1 @ a2202 )
& ~ ( c0_1 @ a2202 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c1_1 @ a2203 )
& ( c0_1 @ a2203 )
& ~ ( c3_1 @ a2203 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ ( c2_1 @ a2206 )
& ~ ( c0_1 @ a2206 )
& ~ ( c3_1 @ a2206 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a2209 )
& ~ ( c1_1 @ a2209 )
& ~ ( c2_1 @ a2209 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a2211 )
& ~ ( c1_1 @ a2211 )
& ~ ( c3_1 @ a2211 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a2212 )
& ( c2_1 @ a2212 )
& ~ ( c3_1 @ a2212 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c1_1 @ a2213 )
& ( c2_1 @ a2213 )
& ~ ( c0_1 @ a2213 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c3_1 @ a2217 )
& ( c1_1 @ a2217 )
& ~ ( c0_1 @ a2217 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ ( c2_1 @ a2220 )
& ~ ( c1_1 @ a2220 )
& ~ ( c3_1 @ a2220 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a2221 )
& ( c2_1 @ a2221 )
& ~ ( c3_1 @ a2221 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a2222 )
& ( c3_1 @ a2222 )
& ~ ( c2_1 @ a2222 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c0_1 @ a2233 )
& ~ ( c1_1 @ a2233 )
& ~ ( c3_1 @ a2233 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a2237 )
& ( c0_1 @ a2237 )
& ~ ( c3_1 @ a2237 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a2239 )
& ~ ( c0_1 @ a2239 )
& ~ ( c3_1 @ a2239 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a2244 )
& ~ ( c2_1 @ a2244 )
& ~ ( c1_1 @ a2244 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a2245 )
& ( c0_1 @ a2245 )
& ~ ( c1_1 @ a2245 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a2246 )
& ~ ( c0_1 @ a2246 )
& ~ ( c3_1 @ a2246 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c3_1 @ a2249 )
& ( c2_1 @ a2249 )
& ~ ( c0_1 @ a2249 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c3_1 @ a2178 )
& ( c0_1 @ a2178 )
& ( c2_1 @ a2178 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c1_1 @ a2179 )
& ~ ( c2_1 @ a2179 )
& ( c0_1 @ a2179 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c3_1 @ a2180 )
& ( c1_1 @ a2180 )
& ( c2_1 @ a2180 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c0_1 @ a2183 )
& ( c2_1 @ a2183 )
& ( c3_1 @ a2183 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c3_1 @ a2184 )
& ~ ( c1_1 @ a2184 )
& ( c0_1 @ a2184 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c1_1 @ a2185 )
& ~ ( c2_1 @ a2185 )
& ( c3_1 @ a2185 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ ( c3_1 @ a2186 )
& ~ ( c2_1 @ a2186 )
& ( c0_1 @ a2186 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ~ ( c3_1 @ a2188 )
& ~ ( c2_1 @ a2188 )
& ( c1_1 @ a2188 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c0_1 @ a2189 )
& ( c1_1 @ a2189 )
& ( c3_1 @ a2189 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ( c2_1 @ a2193 )
& ~ ( c0_1 @ a2193 )
& ( c3_1 @ a2193 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c3_1 @ a2194 )
& ~ ( c2_1 @ a2194 )
& ( c1_1 @ a2194 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ( c1_1 @ a2196 )
& ~ ( c0_1 @ a2196 )
& ( c2_1 @ a2196 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ~ ( c0_1 @ a2200 )
& ~ ( c2_1 @ a2200 )
& ( c1_1 @ a2200 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ ( c1_1 @ a2201 )
& ~ ( c0_1 @ a2201 )
& ( c3_1 @ a2201 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ( c2_1 @ a2204 )
& ~ ( c1_1 @ a2204 )
& ( c3_1 @ a2204 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ( c2_1 @ a2205 )
& ~ ( c0_1 @ a2205 )
& ( c1_1 @ a2205 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ( c1_1 @ a2207 )
& ~ ( c3_1 @ a2207 )
& ( c0_1 @ a2207 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ~ ( c2_1 @ a2208 )
& ( c3_1 @ a2208 )
& ( c0_1 @ a2208 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ~ ( c0_1 @ a2215 )
& ( c2_1 @ a2215 )
& ( c1_1 @ a2215 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ( c2_1 @ a2216 )
& ( c3_1 @ a2216 )
& ( c0_1 @ a2216 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ( c0_1 @ a2218 )
& ~ ( c3_1 @ a2218 )
& ( c2_1 @ a2218 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ( c2_1 @ a2226 )
& ~ ( c1_1 @ a2226 )
& ( c0_1 @ a2226 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ~ ( c0_1 @ a2228 )
& ( c3_1 @ a2228 )
& ( c2_1 @ a2228 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ( c0_1 @ a2229 )
& ~ ( c1_1 @ a2229 )
& ( c3_1 @ a2229 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c3_1 @ a2231 )
& ( c2_1 @ a2231 )
& ( c1_1 @ a2231 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c0_1 @ a2232 )
& ( c3_1 @ a2232 )
& ( c2_1 @ a2232 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ( c1_1 @ a2234 )
& ( c3_1 @ a2234 )
& ( c2_1 @ a2234 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c0_1 @ a2235 )
& ( c2_1 @ a2235 )
& ( c3_1 @ a2235 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c1_1 @ a2240 )
& ( c3_1 @ a2240 )
& ( c0_1 @ a2240 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ( c1_1 @ a2241 )
& ( c0_1 @ a2241 )
& ( c2_1 @ a2241 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c1_1 @ a2242 )
& ~ ( c3_1 @ a2242 )
& ( c2_1 @ a2242 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ( c1_1 @ a2243 )
& ( c0_1 @ a2243 )
& ( c3_1 @ a2243 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c2_1 @ a2252 )
& ~ ( c1_1 @ a2252 )
& ( c0_1 @ a2252 ) ) )
& ( hskp26
| ! [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
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp27
| hskp28 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp0
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( hskp1
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp29
| hskp30
| hskp31 )
& ( hskp32
| hskp2
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp33
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [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
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp3 )
& ( ! [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 ) ) )
| hskp4 )
& ( hskp5
| hskp35
| hskp36 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp34
| hskp37
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp7
| hskp37 )
& ( hskp38
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp39
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp8
| hskp9
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp40 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp41
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp42
| hskp43 )
& ( hskp11
| hskp3
| hskp12 )
& ( hskp13
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( hskp14
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [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 ) ) ) )
& ( hskp44
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp45
| hskp15
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp46
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp16
| hskp17
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp18
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp31 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp33
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp33
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp18
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_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 )
| ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp48 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp49
| hskp31 )
& ( hskp50
| hskp51
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp19
| hskp52 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp53
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp10
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp20
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp10 )
& ( hskp21
| hskp54
| hskp55 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp57
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp22 )
& ( hskp23
| hskp24
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp17
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_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 )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_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 )
| ( c1_1 @ A ) ) ) )
& ( hskp32
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp25 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_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
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp40 )
& ( hskp58
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ~ ( c0_1 @ a2181 )
& ~ ( c1_1 @ a2181 )
& ~ ( c2_1 @ a2181 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c3_1 @ a2182 )
& ~ ( c0_1 @ a2182 )
& ~ ( c2_1 @ a2182 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c3_1 @ a2187 )
& ( c1_1 @ a2187 )
& ~ ( c2_1 @ a2187 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a2190 )
& ~ ( c1_1 @ a2190 )
& ~ ( c0_1 @ a2190 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a2191 )
& ~ ( c2_1 @ a2191 )
& ~ ( c1_1 @ a2191 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a2192 )
& ( c1_1 @ a2192 )
& ~ ( c3_1 @ a2192 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c0_1 @ a2197 )
& ~ ( c3_1 @ a2197 )
& ~ ( c1_1 @ a2197 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a2198 )
& ( c0_1 @ a2198 )
& ~ ( c3_1 @ a2198 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c2_1 @ a2202 )
& ~ ( c1_1 @ a2202 )
& ~ ( c0_1 @ a2202 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c1_1 @ a2203 )
& ( c0_1 @ a2203 )
& ~ ( c3_1 @ a2203 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ ( c2_1 @ a2206 )
& ~ ( c0_1 @ a2206 )
& ~ ( c3_1 @ a2206 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a2209 )
& ~ ( c1_1 @ a2209 )
& ~ ( c2_1 @ a2209 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a2211 )
& ~ ( c1_1 @ a2211 )
& ~ ( c3_1 @ a2211 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a2212 )
& ( c2_1 @ a2212 )
& ~ ( c3_1 @ a2212 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c1_1 @ a2213 )
& ( c2_1 @ a2213 )
& ~ ( c0_1 @ a2213 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c3_1 @ a2217 )
& ( c1_1 @ a2217 )
& ~ ( c0_1 @ a2217 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ ( c2_1 @ a2220 )
& ~ ( c1_1 @ a2220 )
& ~ ( c3_1 @ a2220 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a2221 )
& ( c2_1 @ a2221 )
& ~ ( c3_1 @ a2221 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a2222 )
& ( c3_1 @ a2222 )
& ~ ( c2_1 @ a2222 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c0_1 @ a2233 )
& ~ ( c1_1 @ a2233 )
& ~ ( c3_1 @ a2233 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a2237 )
& ( c0_1 @ a2237 )
& ~ ( c3_1 @ a2237 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a2239 )
& ~ ( c0_1 @ a2239 )
& ~ ( c3_1 @ a2239 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a2244 )
& ~ ( c2_1 @ a2244 )
& ~ ( c1_1 @ a2244 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a2245 )
& ( c0_1 @ a2245 )
& ~ ( c1_1 @ a2245 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a2246 )
& ~ ( c0_1 @ a2246 )
& ~ ( c3_1 @ a2246 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c3_1 @ a2249 )
& ( c2_1 @ a2249 )
& ~ ( c0_1 @ a2249 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c3_1 @ a2178 )
& ( c0_1 @ a2178 )
& ( c2_1 @ a2178 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c1_1 @ a2179 )
& ~ ( c2_1 @ a2179 )
& ( c0_1 @ a2179 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c3_1 @ a2180 )
& ( c1_1 @ a2180 )
& ( c2_1 @ a2180 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c0_1 @ a2183 )
& ( c2_1 @ a2183 )
& ( c3_1 @ a2183 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c3_1 @ a2184 )
& ~ ( c1_1 @ a2184 )
& ( c0_1 @ a2184 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c1_1 @ a2185 )
& ~ ( c2_1 @ a2185 )
& ( c3_1 @ a2185 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ ( c3_1 @ a2186 )
& ~ ( c2_1 @ a2186 )
& ( c0_1 @ a2186 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ~ ( c3_1 @ a2188 )
& ~ ( c2_1 @ a2188 )
& ( c1_1 @ a2188 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c0_1 @ a2189 )
& ( c1_1 @ a2189 )
& ( c3_1 @ a2189 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ( c2_1 @ a2193 )
& ~ ( c0_1 @ a2193 )
& ( c3_1 @ a2193 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c3_1 @ a2194 )
& ~ ( c2_1 @ a2194 )
& ( c1_1 @ a2194 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ( c1_1 @ a2196 )
& ~ ( c0_1 @ a2196 )
& ( c2_1 @ a2196 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ~ ( c0_1 @ a2200 )
& ~ ( c2_1 @ a2200 )
& ( c1_1 @ a2200 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ ( c1_1 @ a2201 )
& ~ ( c0_1 @ a2201 )
& ( c3_1 @ a2201 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ( c2_1 @ a2204 )
& ~ ( c1_1 @ a2204 )
& ( c3_1 @ a2204 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ( c2_1 @ a2205 )
& ~ ( c0_1 @ a2205 )
& ( c1_1 @ a2205 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ( c1_1 @ a2207 )
& ~ ( c3_1 @ a2207 )
& ( c0_1 @ a2207 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ~ ( c2_1 @ a2208 )
& ( c3_1 @ a2208 )
& ( c0_1 @ a2208 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ~ ( c0_1 @ a2215 )
& ( c2_1 @ a2215 )
& ( c1_1 @ a2215 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ( c2_1 @ a2216 )
& ( c3_1 @ a2216 )
& ( c0_1 @ a2216 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ( c0_1 @ a2218 )
& ~ ( c3_1 @ a2218 )
& ( c2_1 @ a2218 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ( c2_1 @ a2226 )
& ~ ( c1_1 @ a2226 )
& ( c0_1 @ a2226 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ~ ( c0_1 @ a2228 )
& ( c3_1 @ a2228 )
& ( c2_1 @ a2228 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ( c0_1 @ a2229 )
& ~ ( c1_1 @ a2229 )
& ( c3_1 @ a2229 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c3_1 @ a2231 )
& ( c2_1 @ a2231 )
& ( c1_1 @ a2231 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c0_1 @ a2232 )
& ( c3_1 @ a2232 )
& ( c2_1 @ a2232 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ( c1_1 @ a2234 )
& ( c3_1 @ a2234 )
& ( c2_1 @ a2234 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c0_1 @ a2235 )
& ( c2_1 @ a2235 )
& ( c3_1 @ a2235 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c1_1 @ a2240 )
& ( c3_1 @ a2240 )
& ( c0_1 @ a2240 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ( c1_1 @ a2241 )
& ( c0_1 @ a2241 )
& ( c2_1 @ a2241 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c1_1 @ a2242 )
& ~ ( c3_1 @ a2242 )
& ( c2_1 @ a2242 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ( c1_1 @ a2243 )
& ( c0_1 @ a2243 )
& ( c3_1 @ a2243 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c2_1 @ a2252 )
& ~ ( c1_1 @ a2252 )
& ( c0_1 @ a2252 ) ) )
& ( hskp26
| ! [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
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp27
| hskp28 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp0
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( hskp1
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp29
| hskp30
| hskp31 )
& ( hskp32
| hskp2
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp33
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [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
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp3 )
& ( ! [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 ) ) )
| hskp4 )
& ( hskp5
| hskp35
| hskp36 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp34
| hskp37
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp7
| hskp37 )
& ( hskp38
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp39
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp8
| hskp9
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp40 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp41
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp42
| hskp43 )
& ( hskp11
| hskp3
| hskp12 )
& ( hskp13
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( hskp14
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [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 ) ) ) )
& ( hskp44
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp45
| hskp15
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp46
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp16
| hskp17
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp18
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp31 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp33
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp33
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp18
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_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 )
| ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp48 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp49
| hskp31 )
& ( hskp50
| hskp51
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp19
| hskp52 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp53
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp10
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp20
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp10 )
& ( hskp21
| hskp54
| hskp55 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp57
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp22 )
& ( hskp23
| hskp24
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp17
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_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 )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_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 )
| ( c1_1 @ A ) ) ) )
& ( hskp32
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp25 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_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
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp40 )
& ( hskp58
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ~ ( c0_1 @ a2181 )
& ~ ( c1_1 @ a2181 )
& ~ ( c2_1 @ a2181 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c3_1 @ a2182 )
& ~ ( c0_1 @ a2182 )
& ~ ( c2_1 @ a2182 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c3_1 @ a2187 )
& ( c1_1 @ a2187 )
& ~ ( c2_1 @ a2187 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ( c2_1 @ a2190 )
& ~ ( c1_1 @ a2190 )
& ~ ( c0_1 @ a2190 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c3_1 @ a2191 )
& ~ ( c2_1 @ a2191 )
& ~ ( c1_1 @ a2191 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ ( c0_1 @ a2192 )
& ( c1_1 @ a2192 )
& ~ ( c3_1 @ a2192 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c0_1 @ a2197 )
& ~ ( c3_1 @ a2197 )
& ~ ( c1_1 @ a2197 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c2_1 @ a2198 )
& ( c0_1 @ a2198 )
& ~ ( c3_1 @ a2198 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ ( c2_1 @ a2202 )
& ~ ( c1_1 @ a2202 )
& ~ ( c0_1 @ a2202 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c1_1 @ a2203 )
& ( c0_1 @ a2203 )
& ~ ( c3_1 @ a2203 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ ( c2_1 @ a2206 )
& ~ ( c0_1 @ a2206 )
& ~ ( c3_1 @ a2206 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ( c0_1 @ a2209 )
& ~ ( c1_1 @ a2209 )
& ~ ( c2_1 @ a2209 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ( c2_1 @ a2211 )
& ~ ( c1_1 @ a2211 )
& ~ ( c3_1 @ a2211 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a2212 )
& ( c2_1 @ a2212 )
& ~ ( c3_1 @ a2212 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c1_1 @ a2213 )
& ( c2_1 @ a2213 )
& ~ ( c0_1 @ a2213 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ ( c3_1 @ a2217 )
& ( c1_1 @ a2217 )
& ~ ( c0_1 @ a2217 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ ( c2_1 @ a2220 )
& ~ ( c1_1 @ a2220 )
& ~ ( c3_1 @ a2220 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a2221 )
& ( c2_1 @ a2221 )
& ~ ( c3_1 @ a2221 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c0_1 @ a2222 )
& ( c3_1 @ a2222 )
& ~ ( c2_1 @ a2222 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ ( c0_1 @ a2233 )
& ~ ( c1_1 @ a2233 )
& ~ ( c3_1 @ a2233 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ( c1_1 @ a2237 )
& ( c0_1 @ a2237 )
& ~ ( c3_1 @ a2237 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ( c2_1 @ a2239 )
& ~ ( c0_1 @ a2239 )
& ~ ( c3_1 @ a2239 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c0_1 @ a2244 )
& ~ ( c2_1 @ a2244 )
& ~ ( c1_1 @ a2244 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c3_1 @ a2245 )
& ( c0_1 @ a2245 )
& ~ ( c1_1 @ a2245 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ( c1_1 @ a2246 )
& ~ ( c0_1 @ a2246 )
& ~ ( c3_1 @ a2246 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ( c3_1 @ a2249 )
& ( c2_1 @ a2249 )
& ~ ( c0_1 @ a2249 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c3_1 @ a2178 )
& ( c0_1 @ a2178 )
& ( c2_1 @ a2178 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ ( c1_1 @ a2179 )
& ~ ( c2_1 @ a2179 )
& ( c0_1 @ a2179 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ( c3_1 @ a2180 )
& ( c1_1 @ a2180 )
& ( c2_1 @ a2180 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c0_1 @ a2183 )
& ( c2_1 @ a2183 )
& ( c3_1 @ a2183 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c3_1 @ a2184 )
& ~ ( c1_1 @ a2184 )
& ( c0_1 @ a2184 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c1_1 @ a2185 )
& ~ ( c2_1 @ a2185 )
& ( c3_1 @ a2185 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ ( c3_1 @ a2186 )
& ~ ( c2_1 @ a2186 )
& ( c0_1 @ a2186 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ~ ( c3_1 @ a2188 )
& ~ ( c2_1 @ a2188 )
& ( c1_1 @ a2188 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c0_1 @ a2189 )
& ( c1_1 @ a2189 )
& ( c3_1 @ a2189 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ( c2_1 @ a2193 )
& ~ ( c0_1 @ a2193 )
& ( c3_1 @ a2193 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c3_1 @ a2194 )
& ~ ( c2_1 @ a2194 )
& ( c1_1 @ a2194 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ( c1_1 @ a2196 )
& ~ ( c0_1 @ a2196 )
& ( c2_1 @ a2196 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ~ ( c0_1 @ a2200 )
& ~ ( c2_1 @ a2200 )
& ( c1_1 @ a2200 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ ( c1_1 @ a2201 )
& ~ ( c0_1 @ a2201 )
& ( c3_1 @ a2201 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ( c2_1 @ a2204 )
& ~ ( c1_1 @ a2204 )
& ( c3_1 @ a2204 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ( c2_1 @ a2205 )
& ~ ( c0_1 @ a2205 )
& ( c1_1 @ a2205 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ( c1_1 @ a2207 )
& ~ ( c3_1 @ a2207 )
& ( c0_1 @ a2207 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ~ ( c2_1 @ a2208 )
& ( c3_1 @ a2208 )
& ( c0_1 @ a2208 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ~ ( c0_1 @ a2215 )
& ( c2_1 @ a2215 )
& ( c1_1 @ a2215 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ( c2_1 @ a2216 )
& ( c3_1 @ a2216 )
& ( c0_1 @ a2216 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ( c0_1 @ a2218 )
& ~ ( c3_1 @ a2218 )
& ( c2_1 @ a2218 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ( c2_1 @ a2226 )
& ~ ( c1_1 @ a2226 )
& ( c0_1 @ a2226 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ~ ( c0_1 @ a2228 )
& ( c3_1 @ a2228 )
& ( c2_1 @ a2228 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ( c0_1 @ a2229 )
& ~ ( c1_1 @ a2229 )
& ( c3_1 @ a2229 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c3_1 @ a2231 )
& ( c2_1 @ a2231 )
& ( c1_1 @ a2231 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c0_1 @ a2232 )
& ( c3_1 @ a2232 )
& ( c2_1 @ a2232 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ( c1_1 @ a2234 )
& ( c3_1 @ a2234 )
& ( c2_1 @ a2234 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c0_1 @ a2235 )
& ( c2_1 @ a2235 )
& ( c3_1 @ a2235 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c1_1 @ a2240 )
& ( c3_1 @ a2240 )
& ( c0_1 @ a2240 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ( c1_1 @ a2241 )
& ( c0_1 @ a2241 )
& ( c2_1 @ a2241 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c1_1 @ a2242 )
& ~ ( c3_1 @ a2242 )
& ( c2_1 @ a2242 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ( c1_1 @ a2243 )
& ( c0_1 @ a2243 )
& ( c3_1 @ a2243 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c2_1 @ a2252 )
& ~ ( c1_1 @ a2252 )
& ( c0_1 @ a2252 ) ) )
& ( hskp26
| ! [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
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp27
| hskp28 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp0
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( hskp1
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp29
| hskp30
| hskp31 )
& ( hskp32
| hskp2
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp33
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [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
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp3 )
& ( ! [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 ) ) )
| hskp4 )
& ( hskp5
| hskp35
| hskp36 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp34
| hskp37
| hskp6 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp7
| hskp37 )
& ( hskp38
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp39
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp8
| hskp9
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp40 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp41
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp42
| hskp43 )
& ( hskp11
| hskp3
| hskp12 )
& ( hskp13
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( hskp14
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [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 ) ) ) )
& ( hskp44
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp45
| hskp15
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp46
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp16
| hskp17
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp18
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp31 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp33
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp33
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) ) )
& ( hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp18
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_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 )
| ( c0_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp48 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp49
| hskp31 )
& ( hskp50
| hskp51
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp19
| hskp52 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp53
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp10
| ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp20
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp10 )
& ( hskp21
| hskp54
| hskp55 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp57
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp22 )
& ( hskp23
| hskp24
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp17
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_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 )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_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 )
| ( c1_1 @ A ) ) ) )
& ( hskp32
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| hskp25 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp56
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_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
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp40 )
& ( hskp58
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(797,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN460+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n022.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 18 19:42:32 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.85/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.45/1.04 % [INFO] Parsing done (181ms).
% 1.45/1.04 % [INFO] Running in sequential loop mode.
% 1.94/1.26 % [INFO] eprover registered as external prover.
% 1.94/1.26 % [INFO] cvc4 registered as external prover.
% 1.94/1.27 % [INFO] Scanning for conjecture ...
% 2.74/1.66 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.86/1.76 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.86/1.76 % [INFO] Problem is first-order (TPTP FOF).
% 3.17/1.77 % [INFO] Type checking passed.
% 3.17/1.77 % [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 ...
% 13.00/4.11 % External prover 'e' found a proof!
% 13.00/4.11 % [INFO] Killing All external provers ...
% 13.00/4.11 % Time passed: 3584ms (effective reasoning time: 3060ms)
% 13.00/4.11 % 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)>
% 13.00/4.11 % Axioms used in derivation (0):
% 13.00/4.11 % No. of inferences in proof: 4
% 13.00/4.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3584 ms resp. 3060 ms w/o parsing
% 13.00/4.18 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.00/4.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------