TSTP Solution File: SYN447+1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN447+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 12:28:47 EDT 2023
% Result : Theorem 12.50s 3.83s
% Output : Refutation 12.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 134
% Syntax : Number of formulae : 137 ( 1 unt; 133 typ; 0 def)
% Number of atoms : 2335 ( 0 equ; 0 cnn)
% Maximal formula atoms : 778 ( 583 avg)
% Number of connectives : 4625 ( 881 ~;1107 |; 945 &;1413 @)
% ( 0 <=>; 279 =>; 0 <=; 0 <~>)
% Maximal formula depth : 132 ( 99 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 134 ( 133 usr; 130 con; 0-1 aty)
% Number of variables : 279 ( 0 ^; 279 !; 0 ?; 279 :)
% 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(a1020_type,type,
a1020: $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(a1023_type,type,
a1023: $i ).
thf(hskp2_type,type,
hskp2: $o ).
thf(a1024_type,type,
a1024: $i ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(hskp3_type,type,
hskp3: $o ).
thf(a1025_type,type,
a1025: $i ).
thf(hskp4_type,type,
hskp4: $o ).
thf(a1026_type,type,
a1026: $i ).
thf(hskp5_type,type,
hskp5: $o ).
thf(a1027_type,type,
a1027: $i ).
thf(hskp6_type,type,
hskp6: $o ).
thf(a1030_type,type,
a1030: $i ).
thf(hskp7_type,type,
hskp7: $o ).
thf(a1035_type,type,
a1035: $i ).
thf(hskp8_type,type,
hskp8: $o ).
thf(a1036_type,type,
a1036: $i ).
thf(hskp9_type,type,
hskp9: $o ).
thf(a1038_type,type,
a1038: $i ).
thf(hskp10_type,type,
hskp10: $o ).
thf(a1039_type,type,
a1039: $i ).
thf(hskp11_type,type,
hskp11: $o ).
thf(a1041_type,type,
a1041: $i ).
thf(hskp12_type,type,
hskp12: $o ).
thf(a1043_type,type,
a1043: $i ).
thf(hskp13_type,type,
hskp13: $o ).
thf(a1048_type,type,
a1048: $i ).
thf(hskp14_type,type,
hskp14: $o ).
thf(a1055_type,type,
a1055: $i ).
thf(hskp15_type,type,
hskp15: $o ).
thf(a1059_type,type,
a1059: $i ).
thf(hskp16_type,type,
hskp16: $o ).
thf(a1064_type,type,
a1064: $i ).
thf(hskp17_type,type,
hskp17: $o ).
thf(a1077_type,type,
a1077: $i ).
thf(hskp18_type,type,
hskp18: $o ).
thf(a1078_type,type,
a1078: $i ).
thf(hskp19_type,type,
hskp19: $o ).
thf(a1079_type,type,
a1079: $i ).
thf(hskp20_type,type,
hskp20: $o ).
thf(a1080_type,type,
a1080: $i ).
thf(hskp21_type,type,
hskp21: $o ).
thf(a1082_type,type,
a1082: $i ).
thf(hskp22_type,type,
hskp22: $o ).
thf(a1083_type,type,
a1083: $i ).
thf(hskp23_type,type,
hskp23: $o ).
thf(a1088_type,type,
a1088: $i ).
thf(hskp24_type,type,
hskp24: $o ).
thf(a1089_type,type,
a1089: $i ).
thf(hskp25_type,type,
hskp25: $o ).
thf(a1091_type,type,
a1091: $i ).
thf(hskp26_type,type,
hskp26: $o ).
thf(a1098_type,type,
a1098: $i ).
thf(hskp27_type,type,
hskp27: $o ).
thf(a1101_type,type,
a1101: $i ).
thf(hskp28_type,type,
hskp28: $o ).
thf(a1102_type,type,
a1102: $i ).
thf(hskp29_type,type,
hskp29: $o ).
thf(a1021_type,type,
a1021: $i ).
thf(hskp30_type,type,
hskp30: $o ).
thf(a1022_type,type,
a1022: $i ).
thf(hskp31_type,type,
hskp31: $o ).
thf(a1028_type,type,
a1028: $i ).
thf(hskp32_type,type,
hskp32: $o ).
thf(a1029_type,type,
a1029: $i ).
thf(hskp33_type,type,
hskp33: $o ).
thf(a1031_type,type,
a1031: $i ).
thf(hskp34_type,type,
hskp34: $o ).
thf(a1032_type,type,
a1032: $i ).
thf(hskp35_type,type,
hskp35: $o ).
thf(a1033_type,type,
a1033: $i ).
thf(hskp36_type,type,
hskp36: $o ).
thf(a1034_type,type,
a1034: $i ).
thf(hskp37_type,type,
hskp37: $o ).
thf(a1037_type,type,
a1037: $i ).
thf(hskp38_type,type,
hskp38: $o ).
thf(a1040_type,type,
a1040: $i ).
thf(hskp39_type,type,
hskp39: $o ).
thf(a1042_type,type,
a1042: $i ).
thf(hskp40_type,type,
hskp40: $o ).
thf(a1044_type,type,
a1044: $i ).
thf(hskp41_type,type,
hskp41: $o ).
thf(a1045_type,type,
a1045: $i ).
thf(hskp42_type,type,
hskp42: $o ).
thf(a1046_type,type,
a1046: $i ).
thf(hskp43_type,type,
hskp43: $o ).
thf(a1049_type,type,
a1049: $i ).
thf(hskp44_type,type,
hskp44: $o ).
thf(a1051_type,type,
a1051: $i ).
thf(hskp45_type,type,
hskp45: $o ).
thf(a1052_type,type,
a1052: $i ).
thf(hskp46_type,type,
hskp46: $o ).
thf(a1053_type,type,
a1053: $i ).
thf(hskp47_type,type,
hskp47: $o ).
thf(a1056_type,type,
a1056: $i ).
thf(hskp48_type,type,
hskp48: $o ).
thf(a1062_type,type,
a1062: $i ).
thf(hskp49_type,type,
hskp49: $o ).
thf(a1065_type,type,
a1065: $i ).
thf(hskp50_type,type,
hskp50: $o ).
thf(a1069_type,type,
a1069: $i ).
thf(hskp51_type,type,
hskp51: $o ).
thf(a1070_type,type,
a1070: $i ).
thf(hskp52_type,type,
hskp52: $o ).
thf(a1071_type,type,
a1071: $i ).
thf(hskp53_type,type,
hskp53: $o ).
thf(a1073_type,type,
a1073: $i ).
thf(hskp54_type,type,
hskp54: $o ).
thf(a1074_type,type,
a1074: $i ).
thf(hskp55_type,type,
hskp55: $o ).
thf(a1081_type,type,
a1081: $i ).
thf(hskp56_type,type,
hskp56: $o ).
thf(a1084_type,type,
a1084: $i ).
thf(hskp57_type,type,
hskp57: $o ).
thf(a1085_type,type,
a1085: $i ).
thf(hskp58_type,type,
hskp58: $o ).
thf(a1086_type,type,
a1086: $i ).
thf(hskp59_type,type,
hskp59: $o ).
thf(a1095_type,type,
a1095: $i ).
thf(hskp60_type,type,
hskp60: $o ).
thf(a1097_type,type,
a1097: $i ).
thf(hskp61_type,type,
hskp61: $o ).
thf(a1099_type,type,
a1099: $i ).
thf(hskp62_type,type,
hskp62: $o ).
thf(a1103_type,type,
a1103: $i ).
thf(hskp63_type,type,
hskp63: $o ).
thf(a1105_type,type,
a1105: $i ).
thf(1,conjecture,
~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a1020 )
& ~ ( c1_1 @ a1020 )
& ~ ( c2_1 @ a1020 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a1023 )
& ~ ( c1_1 @ a1023 )
& ~ ( c0_1 @ a1023 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a1024 )
& ( c1_1 @ a1024 )
& ~ ( c3_1 @ a1024 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c0_1 @ a1025 )
& ~ ( c3_1 @ a1025 )
& ~ ( c2_1 @ a1025 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c0_1 @ a1026 )
& ~ ( c2_1 @ a1026 )
& ~ ( c1_1 @ a1026 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a1027 )
& ( c2_1 @ a1027 )
& ~ ( c3_1 @ a1027 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c2_1 @ a1030 )
& ~ ( c3_1 @ a1030 )
& ~ ( c0_1 @ a1030 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a1035 )
& ( c1_1 @ a1035 )
& ~ ( c2_1 @ a1035 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a1036 )
& ~ ( c3_1 @ a1036 )
& ~ ( c1_1 @ a1036 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c1_1 @ a1038 )
& ( c2_1 @ a1038 )
& ~ ( c0_1 @ a1038 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a1039 )
& ~ ( c2_1 @ a1039 )
& ~ ( c0_1 @ a1039 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ ( c3_1 @ a1041 )
& ( c1_1 @ a1041 )
& ~ ( c2_1 @ a1041 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c1_1 @ a1043 )
& ( c0_1 @ a1043 )
& ~ ( c3_1 @ a1043 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a1048 )
& ( c3_1 @ a1048 )
& ~ ( c2_1 @ a1048 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a1055 )
& ~ ( c1_1 @ a1055 )
& ~ ( c2_1 @ a1055 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c3_1 @ a1059 )
& ( c2_1 @ a1059 )
& ~ ( c1_1 @ a1059 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a1064 )
& ( c0_1 @ a1064 )
& ~ ( c3_1 @ a1064 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a1077 )
& ( c3_1 @ a1077 )
& ~ ( c2_1 @ a1077 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c2_1 @ a1078 )
& ( c0_1 @ a1078 )
& ~ ( c1_1 @ a1078 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a1079 )
& ~ ( c0_1 @ a1079 )
& ~ ( c2_1 @ a1079 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c0_1 @ a1080 )
& ~ ( c2_1 @ a1080 )
& ~ ( c1_1 @ a1080 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ ( c3_1 @ a1082 )
& ~ ( c2_1 @ a1082 )
& ~ ( c0_1 @ a1082 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a1083 )
& ( c3_1 @ a1083 )
& ~ ( c1_1 @ a1083 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c1_1 @ a1088 )
& ( c3_1 @ a1088 )
& ~ ( c2_1 @ a1088 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c2_1 @ a1089 )
& ( c0_1 @ a1089 )
& ~ ( c1_1 @ a1089 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ ( c3_1 @ a1091 )
& ~ ( c0_1 @ a1091 )
& ~ ( c2_1 @ a1091 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c3_1 @ a1098 )
& ( c1_1 @ a1098 )
& ~ ( c0_1 @ a1098 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c3_1 @ a1101 )
& ( c1_1 @ a1101 )
& ~ ( c0_1 @ a1101 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ~ ( c0_1 @ a1102 )
& ( c2_1 @ a1102 )
& ~ ( c1_1 @ a1102 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c1_1 @ a1021 )
& ~ ( c3_1 @ a1021 )
& ( c2_1 @ a1021 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c2_1 @ a1022 )
& ( c3_1 @ a1022 )
& ( c1_1 @ a1022 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a1028 )
& ~ ( c1_1 @ a1028 )
& ( c3_1 @ a1028 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ ( c0_1 @ a1029 )
& ( c1_1 @ a1029 )
& ( c2_1 @ a1029 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ( c3_1 @ a1031 )
& ~ ( c1_1 @ a1031 )
& ( c2_1 @ a1031 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c2_1 @ a1032 )
& ~ ( c1_1 @ a1032 )
& ( c3_1 @ a1032 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ( c0_1 @ a1033 )
& ( c1_1 @ a1033 )
& ( c3_1 @ a1033 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c3_1 @ a1034 )
& ~ ( c0_1 @ a1034 )
& ( c1_1 @ a1034 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ~ ( c1_1 @ a1037 )
& ( c0_1 @ a1037 )
& ( c3_1 @ a1037 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ( c1_1 @ a1040 )
& ( c3_1 @ a1040 )
& ( c2_1 @ a1040 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ( c0_1 @ a1042 )
& ~ ( c1_1 @ a1042 )
& ( c2_1 @ a1042 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ~ ( c1_1 @ a1044 )
& ( c3_1 @ a1044 )
& ( c0_1 @ a1044 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ~ ( c1_1 @ a1045 )
& ~ ( c0_1 @ a1045 )
& ( c3_1 @ a1045 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ~ ( c2_1 @ a1046 )
& ( c1_1 @ a1046 )
& ( c0_1 @ a1046 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ( c0_1 @ a1049 )
& ( c2_1 @ a1049 )
& ( c1_1 @ a1049 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ( c1_1 @ a1051 )
& ~ ( c2_1 @ a1051 )
& ( c0_1 @ a1051 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ( c0_1 @ a1052 )
& ( c3_1 @ a1052 )
& ( c2_1 @ a1052 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ~ ( c1_1 @ a1053 )
& ~ ( c2_1 @ a1053 )
& ( c0_1 @ a1053 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ( c2_1 @ a1056 )
& ( c1_1 @ a1056 )
& ( c3_1 @ a1056 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ( c3_1 @ a1062 )
& ( c2_1 @ a1062 )
& ( c0_1 @ a1062 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ~ ( c0_1 @ a1065 )
& ~ ( c2_1 @ a1065 )
& ( c1_1 @ a1065 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c0_1 @ a1069 )
& ( c3_1 @ a1069 )
& ( c1_1 @ a1069 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c2_1 @ a1070 )
& ~ ( c1_1 @ a1070 )
& ( c0_1 @ a1070 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ( c1_1 @ a1071 )
& ( c0_1 @ a1071 )
& ( c3_1 @ a1071 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c1_1 @ a1073 )
& ( c2_1 @ a1073 )
& ( c0_1 @ a1073 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c3_1 @ a1074 )
& ( c0_1 @ a1074 )
& ( c2_1 @ a1074 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ( c1_1 @ a1081 )
& ~ ( c0_1 @ a1081 )
& ( c3_1 @ a1081 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c3_1 @ a1084 )
& ~ ( c1_1 @ a1084 )
& ( c0_1 @ a1084 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ( c2_1 @ a1085 )
& ( c0_1 @ a1085 )
& ( c3_1 @ a1085 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c0_1 @ a1086 )
& ( c2_1 @ a1086 )
& ( c3_1 @ a1086 ) ) )
& ( ~ hskp59
| ( ndr1_0
& ~ ( c0_1 @ a1095 )
& ~ ( c3_1 @ a1095 )
& ( c1_1 @ a1095 ) ) )
& ( ~ hskp60
| ( ndr1_0
& ( c2_1 @ a1097 )
& ~ ( c0_1 @ a1097 )
& ( c3_1 @ a1097 ) ) )
& ( ~ hskp61
| ( ndr1_0
& ~ ( c3_1 @ a1099 )
& ~ ( c0_1 @ a1099 )
& ( c2_1 @ a1099 ) ) )
& ( ~ hskp62
| ( ndr1_0
& ( c2_1 @ a1103 )
& ( c3_1 @ a1103 )
& ( c1_1 @ a1103 ) ) )
& ( ~ hskp63
| ( ndr1_0
& ~ ( c2_1 @ a1105 )
& ( c1_1 @ a1105 )
& ( c3_1 @ a1105 ) ) )
& ( hskp0
| hskp29
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( hskp2
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp3
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp4
| hskp5
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp31
| ! [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
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp32
| hskp6 )
& ( hskp33
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp35
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp36
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp8
| hskp37 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp9
| ! [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 ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp38
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp11
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp39 )
& ( hskp12
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp40
| hskp41
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp42
| ! [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 )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp13
| hskp43 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp44
| hskp45 )
& ( hskp46
| hskp38
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp10
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp43 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp15
| hskp33 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp36
| hskp48 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp42
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp49 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp1
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp7
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp50
| hskp51 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp52
| hskp34
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp53
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp54
| hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp39
| hskp17
| hskp18 )
& ( hskp19
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp20 )
& ( hskp55
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp21 )
& ( hskp22
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp56 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp57 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp58 )
& ( hskp33
| hskp23
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp36
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp25
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp51
| ! [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 ) ) ) )
& ( hskp48
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_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
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp59
| ! [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
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp35 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp60
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp61 )
& ( hskp43
| hskp27
| hskp28 )
& ( hskp62
| hskp56
| hskp63 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a1020 )
& ~ ( c1_1 @ a1020 )
& ~ ( c2_1 @ a1020 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a1023 )
& ~ ( c1_1 @ a1023 )
& ~ ( c0_1 @ a1023 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a1024 )
& ( c1_1 @ a1024 )
& ~ ( c3_1 @ a1024 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c0_1 @ a1025 )
& ~ ( c3_1 @ a1025 )
& ~ ( c2_1 @ a1025 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c0_1 @ a1026 )
& ~ ( c2_1 @ a1026 )
& ~ ( c1_1 @ a1026 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a1027 )
& ( c2_1 @ a1027 )
& ~ ( c3_1 @ a1027 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c2_1 @ a1030 )
& ~ ( c3_1 @ a1030 )
& ~ ( c0_1 @ a1030 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a1035 )
& ( c1_1 @ a1035 )
& ~ ( c2_1 @ a1035 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a1036 )
& ~ ( c3_1 @ a1036 )
& ~ ( c1_1 @ a1036 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c1_1 @ a1038 )
& ( c2_1 @ a1038 )
& ~ ( c0_1 @ a1038 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a1039 )
& ~ ( c2_1 @ a1039 )
& ~ ( c0_1 @ a1039 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ ( c3_1 @ a1041 )
& ( c1_1 @ a1041 )
& ~ ( c2_1 @ a1041 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c1_1 @ a1043 )
& ( c0_1 @ a1043 )
& ~ ( c3_1 @ a1043 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a1048 )
& ( c3_1 @ a1048 )
& ~ ( c2_1 @ a1048 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a1055 )
& ~ ( c1_1 @ a1055 )
& ~ ( c2_1 @ a1055 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c3_1 @ a1059 )
& ( c2_1 @ a1059 )
& ~ ( c1_1 @ a1059 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a1064 )
& ( c0_1 @ a1064 )
& ~ ( c3_1 @ a1064 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a1077 )
& ( c3_1 @ a1077 )
& ~ ( c2_1 @ a1077 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c2_1 @ a1078 )
& ( c0_1 @ a1078 )
& ~ ( c1_1 @ a1078 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a1079 )
& ~ ( c0_1 @ a1079 )
& ~ ( c2_1 @ a1079 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c0_1 @ a1080 )
& ~ ( c2_1 @ a1080 )
& ~ ( c1_1 @ a1080 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ ( c3_1 @ a1082 )
& ~ ( c2_1 @ a1082 )
& ~ ( c0_1 @ a1082 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a1083 )
& ( c3_1 @ a1083 )
& ~ ( c1_1 @ a1083 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c1_1 @ a1088 )
& ( c3_1 @ a1088 )
& ~ ( c2_1 @ a1088 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c2_1 @ a1089 )
& ( c0_1 @ a1089 )
& ~ ( c1_1 @ a1089 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ ( c3_1 @ a1091 )
& ~ ( c0_1 @ a1091 )
& ~ ( c2_1 @ a1091 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c3_1 @ a1098 )
& ( c1_1 @ a1098 )
& ~ ( c0_1 @ a1098 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c3_1 @ a1101 )
& ( c1_1 @ a1101 )
& ~ ( c0_1 @ a1101 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ~ ( c0_1 @ a1102 )
& ( c2_1 @ a1102 )
& ~ ( c1_1 @ a1102 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c1_1 @ a1021 )
& ~ ( c3_1 @ a1021 )
& ( c2_1 @ a1021 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c2_1 @ a1022 )
& ( c3_1 @ a1022 )
& ( c1_1 @ a1022 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a1028 )
& ~ ( c1_1 @ a1028 )
& ( c3_1 @ a1028 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ ( c0_1 @ a1029 )
& ( c1_1 @ a1029 )
& ( c2_1 @ a1029 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ( c3_1 @ a1031 )
& ~ ( c1_1 @ a1031 )
& ( c2_1 @ a1031 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c2_1 @ a1032 )
& ~ ( c1_1 @ a1032 )
& ( c3_1 @ a1032 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ( c0_1 @ a1033 )
& ( c1_1 @ a1033 )
& ( c3_1 @ a1033 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c3_1 @ a1034 )
& ~ ( c0_1 @ a1034 )
& ( c1_1 @ a1034 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ~ ( c1_1 @ a1037 )
& ( c0_1 @ a1037 )
& ( c3_1 @ a1037 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ( c1_1 @ a1040 )
& ( c3_1 @ a1040 )
& ( c2_1 @ a1040 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ( c0_1 @ a1042 )
& ~ ( c1_1 @ a1042 )
& ( c2_1 @ a1042 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ~ ( c1_1 @ a1044 )
& ( c3_1 @ a1044 )
& ( c0_1 @ a1044 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ~ ( c1_1 @ a1045 )
& ~ ( c0_1 @ a1045 )
& ( c3_1 @ a1045 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ~ ( c2_1 @ a1046 )
& ( c1_1 @ a1046 )
& ( c0_1 @ a1046 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ( c0_1 @ a1049 )
& ( c2_1 @ a1049 )
& ( c1_1 @ a1049 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ( c1_1 @ a1051 )
& ~ ( c2_1 @ a1051 )
& ( c0_1 @ a1051 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ( c0_1 @ a1052 )
& ( c3_1 @ a1052 )
& ( c2_1 @ a1052 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ~ ( c1_1 @ a1053 )
& ~ ( c2_1 @ a1053 )
& ( c0_1 @ a1053 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ( c2_1 @ a1056 )
& ( c1_1 @ a1056 )
& ( c3_1 @ a1056 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ( c3_1 @ a1062 )
& ( c2_1 @ a1062 )
& ( c0_1 @ a1062 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ~ ( c0_1 @ a1065 )
& ~ ( c2_1 @ a1065 )
& ( c1_1 @ a1065 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c0_1 @ a1069 )
& ( c3_1 @ a1069 )
& ( c1_1 @ a1069 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c2_1 @ a1070 )
& ~ ( c1_1 @ a1070 )
& ( c0_1 @ a1070 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ( c1_1 @ a1071 )
& ( c0_1 @ a1071 )
& ( c3_1 @ a1071 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c1_1 @ a1073 )
& ( c2_1 @ a1073 )
& ( c0_1 @ a1073 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c3_1 @ a1074 )
& ( c0_1 @ a1074 )
& ( c2_1 @ a1074 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ( c1_1 @ a1081 )
& ~ ( c0_1 @ a1081 )
& ( c3_1 @ a1081 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c3_1 @ a1084 )
& ~ ( c1_1 @ a1084 )
& ( c0_1 @ a1084 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ( c2_1 @ a1085 )
& ( c0_1 @ a1085 )
& ( c3_1 @ a1085 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c0_1 @ a1086 )
& ( c2_1 @ a1086 )
& ( c3_1 @ a1086 ) ) )
& ( ~ hskp59
| ( ndr1_0
& ~ ( c0_1 @ a1095 )
& ~ ( c3_1 @ a1095 )
& ( c1_1 @ a1095 ) ) )
& ( ~ hskp60
| ( ndr1_0
& ( c2_1 @ a1097 )
& ~ ( c0_1 @ a1097 )
& ( c3_1 @ a1097 ) ) )
& ( ~ hskp61
| ( ndr1_0
& ~ ( c3_1 @ a1099 )
& ~ ( c0_1 @ a1099 )
& ( c2_1 @ a1099 ) ) )
& ( ~ hskp62
| ( ndr1_0
& ( c2_1 @ a1103 )
& ( c3_1 @ a1103 )
& ( c1_1 @ a1103 ) ) )
& ( ~ hskp63
| ( ndr1_0
& ~ ( c2_1 @ a1105 )
& ( c1_1 @ a1105 )
& ( c3_1 @ a1105 ) ) )
& ( hskp0
| hskp29
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( hskp2
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp3
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp4
| hskp5
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp31
| ! [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
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp32
| hskp6 )
& ( hskp33
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp35
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp36
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp8
| hskp37 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp9
| ! [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 ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp38
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp11
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp39 )
& ( hskp12
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp40
| hskp41
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp42
| ! [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 )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp13
| hskp43 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp44
| hskp45 )
& ( hskp46
| hskp38
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp10
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp43 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp15
| hskp33 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp36
| hskp48 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp42
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp49 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp1
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp7
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp50
| hskp51 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp52
| hskp34
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp53
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp54
| hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp39
| hskp17
| hskp18 )
& ( hskp19
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp20 )
& ( hskp55
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp21 )
& ( hskp22
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp56 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp57 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp58 )
& ( hskp33
| hskp23
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp36
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp25
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp51
| ! [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 ) ) ) )
& ( hskp48
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_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
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp59
| ! [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
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp35 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp60
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp61 )
& ( hskp43
| hskp27
| hskp28 )
& ( hskp62
| hskp56
| hskp63 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ( ( ~ hskp0
| ( ndr1_0
& ( c0_1 @ a1020 )
& ~ ( c1_1 @ a1020 )
& ~ ( c2_1 @ a1020 ) ) )
& ( ~ hskp1
| ( ndr1_0
& ( c2_1 @ a1023 )
& ~ ( c1_1 @ a1023 )
& ~ ( c0_1 @ a1023 ) ) )
& ( ~ hskp2
| ( ndr1_0
& ( c2_1 @ a1024 )
& ( c1_1 @ a1024 )
& ~ ( c3_1 @ a1024 ) ) )
& ( ~ hskp3
| ( ndr1_0
& ~ ( c0_1 @ a1025 )
& ~ ( c3_1 @ a1025 )
& ~ ( c2_1 @ a1025 ) ) )
& ( ~ hskp4
| ( ndr1_0
& ( c0_1 @ a1026 )
& ~ ( c2_1 @ a1026 )
& ~ ( c1_1 @ a1026 ) ) )
& ( ~ hskp5
| ( ndr1_0
& ( c1_1 @ a1027 )
& ( c2_1 @ a1027 )
& ~ ( c3_1 @ a1027 ) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ ( c2_1 @ a1030 )
& ~ ( c3_1 @ a1030 )
& ~ ( c0_1 @ a1030 ) ) )
& ( ~ hskp7
| ( ndr1_0
& ( c0_1 @ a1035 )
& ( c1_1 @ a1035 )
& ~ ( c2_1 @ a1035 ) ) )
& ( ~ hskp8
| ( ndr1_0
& ( c0_1 @ a1036 )
& ~ ( c3_1 @ a1036 )
& ~ ( c1_1 @ a1036 ) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ ( c1_1 @ a1038 )
& ( c2_1 @ a1038 )
& ~ ( c0_1 @ a1038 ) ) )
& ( ~ hskp10
| ( ndr1_0
& ( c1_1 @ a1039 )
& ~ ( c2_1 @ a1039 )
& ~ ( c0_1 @ a1039 ) ) )
& ( ~ hskp11
| ( ndr1_0
& ~ ( c3_1 @ a1041 )
& ( c1_1 @ a1041 )
& ~ ( c2_1 @ a1041 ) ) )
& ( ~ hskp12
| ( ndr1_0
& ~ ( c1_1 @ a1043 )
& ( c0_1 @ a1043 )
& ~ ( c3_1 @ a1043 ) ) )
& ( ~ hskp13
| ( ndr1_0
& ( c0_1 @ a1048 )
& ( c3_1 @ a1048 )
& ~ ( c2_1 @ a1048 ) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ ( c0_1 @ a1055 )
& ~ ( c1_1 @ a1055 )
& ~ ( c2_1 @ a1055 ) ) )
& ( ~ hskp15
| ( ndr1_0
& ( c3_1 @ a1059 )
& ( c2_1 @ a1059 )
& ~ ( c1_1 @ a1059 ) ) )
& ( ~ hskp16
| ( ndr1_0
& ( c2_1 @ a1064 )
& ( c0_1 @ a1064 )
& ~ ( c3_1 @ a1064 ) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ ( c0_1 @ a1077 )
& ( c3_1 @ a1077 )
& ~ ( c2_1 @ a1077 ) ) )
& ( ~ hskp18
| ( ndr1_0
& ( c2_1 @ a1078 )
& ( c0_1 @ a1078 )
& ~ ( c1_1 @ a1078 ) ) )
& ( ~ hskp19
| ( ndr1_0
& ( c1_1 @ a1079 )
& ~ ( c0_1 @ a1079 )
& ~ ( c2_1 @ a1079 ) ) )
& ( ~ hskp20
| ( ndr1_0
& ~ ( c0_1 @ a1080 )
& ~ ( c2_1 @ a1080 )
& ~ ( c1_1 @ a1080 ) ) )
& ( ~ hskp21
| ( ndr1_0
& ~ ( c3_1 @ a1082 )
& ~ ( c2_1 @ a1082 )
& ~ ( c0_1 @ a1082 ) ) )
& ( ~ hskp22
| ( ndr1_0
& ( c2_1 @ a1083 )
& ( c3_1 @ a1083 )
& ~ ( c1_1 @ a1083 ) ) )
& ( ~ hskp23
| ( ndr1_0
& ( c1_1 @ a1088 )
& ( c3_1 @ a1088 )
& ~ ( c2_1 @ a1088 ) ) )
& ( ~ hskp24
| ( ndr1_0
& ~ ( c2_1 @ a1089 )
& ( c0_1 @ a1089 )
& ~ ( c1_1 @ a1089 ) ) )
& ( ~ hskp25
| ( ndr1_0
& ~ ( c3_1 @ a1091 )
& ~ ( c0_1 @ a1091 )
& ~ ( c2_1 @ a1091 ) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ ( c3_1 @ a1098 )
& ( c1_1 @ a1098 )
& ~ ( c0_1 @ a1098 ) ) )
& ( ~ hskp27
| ( ndr1_0
& ( c3_1 @ a1101 )
& ( c1_1 @ a1101 )
& ~ ( c0_1 @ a1101 ) ) )
& ( ~ hskp28
| ( ndr1_0
& ~ ( c0_1 @ a1102 )
& ( c2_1 @ a1102 )
& ~ ( c1_1 @ a1102 ) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ ( c1_1 @ a1021 )
& ~ ( c3_1 @ a1021 )
& ( c2_1 @ a1021 ) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ ( c2_1 @ a1022 )
& ( c3_1 @ a1022 )
& ( c1_1 @ a1022 ) ) )
& ( ~ hskp31
| ( ndr1_0
& ( c0_1 @ a1028 )
& ~ ( c1_1 @ a1028 )
& ( c3_1 @ a1028 ) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ ( c0_1 @ a1029 )
& ( c1_1 @ a1029 )
& ( c2_1 @ a1029 ) ) )
& ( ~ hskp33
| ( ndr1_0
& ( c3_1 @ a1031 )
& ~ ( c1_1 @ a1031 )
& ( c2_1 @ a1031 ) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ ( c2_1 @ a1032 )
& ~ ( c1_1 @ a1032 )
& ( c3_1 @ a1032 ) ) )
& ( ~ hskp35
| ( ndr1_0
& ( c0_1 @ a1033 )
& ( c1_1 @ a1033 )
& ( c3_1 @ a1033 ) ) )
& ( ~ hskp36
| ( ndr1_0
& ( c3_1 @ a1034 )
& ~ ( c0_1 @ a1034 )
& ( c1_1 @ a1034 ) ) )
& ( ~ hskp37
| ( ndr1_0
& ~ ( c1_1 @ a1037 )
& ( c0_1 @ a1037 )
& ( c3_1 @ a1037 ) ) )
& ( ~ hskp38
| ( ndr1_0
& ( c1_1 @ a1040 )
& ( c3_1 @ a1040 )
& ( c2_1 @ a1040 ) ) )
& ( ~ hskp39
| ( ndr1_0
& ( c0_1 @ a1042 )
& ~ ( c1_1 @ a1042 )
& ( c2_1 @ a1042 ) ) )
& ( ~ hskp40
| ( ndr1_0
& ~ ( c1_1 @ a1044 )
& ( c3_1 @ a1044 )
& ( c0_1 @ a1044 ) ) )
& ( ~ hskp41
| ( ndr1_0
& ~ ( c1_1 @ a1045 )
& ~ ( c0_1 @ a1045 )
& ( c3_1 @ a1045 ) ) )
& ( ~ hskp42
| ( ndr1_0
& ~ ( c2_1 @ a1046 )
& ( c1_1 @ a1046 )
& ( c0_1 @ a1046 ) ) )
& ( ~ hskp43
| ( ndr1_0
& ( c0_1 @ a1049 )
& ( c2_1 @ a1049 )
& ( c1_1 @ a1049 ) ) )
& ( ~ hskp44
| ( ndr1_0
& ( c1_1 @ a1051 )
& ~ ( c2_1 @ a1051 )
& ( c0_1 @ a1051 ) ) )
& ( ~ hskp45
| ( ndr1_0
& ( c0_1 @ a1052 )
& ( c3_1 @ a1052 )
& ( c2_1 @ a1052 ) ) )
& ( ~ hskp46
| ( ndr1_0
& ~ ( c1_1 @ a1053 )
& ~ ( c2_1 @ a1053 )
& ( c0_1 @ a1053 ) ) )
& ( ~ hskp47
| ( ndr1_0
& ( c2_1 @ a1056 )
& ( c1_1 @ a1056 )
& ( c3_1 @ a1056 ) ) )
& ( ~ hskp48
| ( ndr1_0
& ( c3_1 @ a1062 )
& ( c2_1 @ a1062 )
& ( c0_1 @ a1062 ) ) )
& ( ~ hskp49
| ( ndr1_0
& ~ ( c0_1 @ a1065 )
& ~ ( c2_1 @ a1065 )
& ( c1_1 @ a1065 ) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ ( c0_1 @ a1069 )
& ( c3_1 @ a1069 )
& ( c1_1 @ a1069 ) ) )
& ( ~ hskp51
| ( ndr1_0
& ( c2_1 @ a1070 )
& ~ ( c1_1 @ a1070 )
& ( c0_1 @ a1070 ) ) )
& ( ~ hskp52
| ( ndr1_0
& ( c1_1 @ a1071 )
& ( c0_1 @ a1071 )
& ( c3_1 @ a1071 ) ) )
& ( ~ hskp53
| ( ndr1_0
& ( c1_1 @ a1073 )
& ( c2_1 @ a1073 )
& ( c0_1 @ a1073 ) ) )
& ( ~ hskp54
| ( ndr1_0
& ( c3_1 @ a1074 )
& ( c0_1 @ a1074 )
& ( c2_1 @ a1074 ) ) )
& ( ~ hskp55
| ( ndr1_0
& ( c1_1 @ a1081 )
& ~ ( c0_1 @ a1081 )
& ( c3_1 @ a1081 ) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ ( c3_1 @ a1084 )
& ~ ( c1_1 @ a1084 )
& ( c0_1 @ a1084 ) ) )
& ( ~ hskp57
| ( ndr1_0
& ( c2_1 @ a1085 )
& ( c0_1 @ a1085 )
& ( c3_1 @ a1085 ) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ ( c0_1 @ a1086 )
& ( c2_1 @ a1086 )
& ( c3_1 @ a1086 ) ) )
& ( ~ hskp59
| ( ndr1_0
& ~ ( c0_1 @ a1095 )
& ~ ( c3_1 @ a1095 )
& ( c1_1 @ a1095 ) ) )
& ( ~ hskp60
| ( ndr1_0
& ( c2_1 @ a1097 )
& ~ ( c0_1 @ a1097 )
& ( c3_1 @ a1097 ) ) )
& ( ~ hskp61
| ( ndr1_0
& ~ ( c3_1 @ a1099 )
& ~ ( c0_1 @ a1099 )
& ( c2_1 @ a1099 ) ) )
& ( ~ hskp62
| ( ndr1_0
& ( c2_1 @ a1103 )
& ( c3_1 @ a1103 )
& ( c1_1 @ a1103 ) ) )
& ( ~ hskp63
| ( ndr1_0
& ~ ( c2_1 @ a1105 )
& ( c1_1 @ a1105 )
& ( c3_1 @ a1105 ) ) )
& ( hskp0
| hskp29
| hskp30 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp1 )
& ( hskp2
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| hskp3
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp4
| hskp5
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp31
| ! [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
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp32
| hskp6 )
& ( hskp33
| ! [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 ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp34 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp35
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp36
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp8
| hskp37 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp9
| ! [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 ) ) )
| hskp10 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp38
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) ) )
& ( hskp11
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp39 )
& ( hskp12
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( hskp40
| hskp41
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp42
| ! [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 )
| ~ ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp4 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c3_1 @ A ) ) )
| hskp13
| hskp43 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp7 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp44
| hskp45 )
& ( hskp46
| hskp38
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp10
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| hskp43 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp15
| hskp33 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp36
| hskp48 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp42
| hskp16 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp49 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A ) ) )
| hskp1
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp7
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) )
| hskp12 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp50
| hskp51 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( hskp52
| hskp34
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c0_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A ) ) )
| hskp53
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( hskp54
| hskp47
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ( c3_1 @ A ) ) ) )
& ( hskp39
| hskp17
| hskp18 )
& ( hskp19
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp20 )
& ( hskp55
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp21 )
& ( hskp22
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp56 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ A ) ) )
| hskp57 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp58 )
& ( hskp33
| hskp23
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ( c1_1 @ A )
| ( c0_1 @ A )
| ( c3_1 @ A ) ) )
| hskp24 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A ) ) )
| hskp36
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| hskp25
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A ) ) ) )
& ( hskp51
| ! [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 ) ) ) )
& ( hskp48
| ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A ) ) )
| hskp14 )
& ( ! [A: $i] :
( ndr1_0
=> ( ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_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
=> ( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ( c3_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c2_1 @ A ) ) ) )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ( c2_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp59
| ! [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
=> ( ( c2_1 @ A )
| ( c3_1 @ A )
| ~ ( c1_1 @ A ) ) )
| hskp35 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c0_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ A ) ) )
| hskp60
| hskp26 )
& ( ! [A: $i] :
( ndr1_0
=> ( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ( c0_1 @ A ) ) )
| ! [A: $i] :
( ndr1_0
=> ( ~ ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A ) ) )
| hskp61 )
& ( hskp43
| hskp27
| hskp28 )
& ( hskp62
| hskp56
| hskp63 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(928,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN447+1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 19:56:51 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.87/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/1.02 % [INFO] Parsing done (159ms).
% 1.56/1.03 % [INFO] Running in sequential loop mode.
% 1.87/1.22 % [INFO] eprover registered as external prover.
% 1.96/1.22 % [INFO] cvc4 registered as external prover.
% 1.96/1.23 % [INFO] Scanning for conjecture ...
% 2.63/1.57 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.79/1.66 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.79/1.66 % [INFO] Problem is first-order (TPTP FOF).
% 2.79/1.67 % [INFO] Type checking passed.
% 2.79/1.68 % [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 ...
% 12.50/3.83 % External prover 'cvc4' found a proof!
% 12.50/3.83 % [INFO] Killing All external provers ...
% 12.50/3.83 % Time passed: 3298ms (effective reasoning time: 2794ms)
% 12.50/3.83 % 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)>
% 12.50/3.83 % Axioms used in derivation (0):
% 12.50/3.83 % No. of inferences in proof: 4
% 12.50/3.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 3298 ms resp. 2794 ms w/o parsing
% 12.64/3.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 12.64/3.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------