TSTP Solution File: SYN447-1 by Leo-III---1.7.7
View Problem
- 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 : n020.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 : Unsatisfiable 12.15s 3.22s
% Output : Refutation 12.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 449
% Syntax : Number of formulae : 766 ( 1 unt; 133 typ; 0 def)
% Number of atoms : 1859 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 3234 (1072 ~;1226 |; 0 &; 936 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 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 : 184 ( 0 ^; 184 !; 0 ?; 184 :)
% Comments :
%------------------------------------------------------------------------------
thf(hskp63_type,type,
hskp63: $o ).
thf(ndr1_0_type,type,
ndr1_0: $o ).
thf(hskp62_type,type,
hskp62: $o ).
thf(hskp61_type,type,
hskp61: $o ).
thf(hskp60_type,type,
hskp60: $o ).
thf(hskp59_type,type,
hskp59: $o ).
thf(hskp58_type,type,
hskp58: $o ).
thf(hskp57_type,type,
hskp57: $o ).
thf(hskp56_type,type,
hskp56: $o ).
thf(hskp55_type,type,
hskp55: $o ).
thf(hskp54_type,type,
hskp54: $o ).
thf(hskp53_type,type,
hskp53: $o ).
thf(hskp52_type,type,
hskp52: $o ).
thf(hskp51_type,type,
hskp51: $o ).
thf(hskp50_type,type,
hskp50: $o ).
thf(hskp49_type,type,
hskp49: $o ).
thf(hskp48_type,type,
hskp48: $o ).
thf(hskp47_type,type,
hskp47: $o ).
thf(hskp46_type,type,
hskp46: $o ).
thf(hskp45_type,type,
hskp45: $o ).
thf(hskp44_type,type,
hskp44: $o ).
thf(hskp43_type,type,
hskp43: $o ).
thf(hskp42_type,type,
hskp42: $o ).
thf(hskp41_type,type,
hskp41: $o ).
thf(hskp40_type,type,
hskp40: $o ).
thf(hskp39_type,type,
hskp39: $o ).
thf(hskp38_type,type,
hskp38: $o ).
thf(hskp37_type,type,
hskp37: $o ).
thf(hskp36_type,type,
hskp36: $o ).
thf(hskp35_type,type,
hskp35: $o ).
thf(hskp34_type,type,
hskp34: $o ).
thf(hskp33_type,type,
hskp33: $o ).
thf(hskp32_type,type,
hskp32: $o ).
thf(hskp31_type,type,
hskp31: $o ).
thf(hskp30_type,type,
hskp30: $o ).
thf(hskp29_type,type,
hskp29: $o ).
thf(hskp28_type,type,
hskp28: $o ).
thf(hskp27_type,type,
hskp27: $o ).
thf(hskp26_type,type,
hskp26: $o ).
thf(hskp25_type,type,
hskp25: $o ).
thf(hskp24_type,type,
hskp24: $o ).
thf(hskp23_type,type,
hskp23: $o ).
thf(hskp22_type,type,
hskp22: $o ).
thf(hskp21_type,type,
hskp21: $o ).
thf(hskp20_type,type,
hskp20: $o ).
thf(hskp19_type,type,
hskp19: $o ).
thf(hskp18_type,type,
hskp18: $o ).
thf(hskp17_type,type,
hskp17: $o ).
thf(hskp16_type,type,
hskp16: $o ).
thf(hskp15_type,type,
hskp15: $o ).
thf(hskp14_type,type,
hskp14: $o ).
thf(hskp13_type,type,
hskp13: $o ).
thf(hskp12_type,type,
hskp12: $o ).
thf(hskp11_type,type,
hskp11: $o ).
thf(hskp10_type,type,
hskp10: $o ).
thf(hskp9_type,type,
hskp9: $o ).
thf(hskp8_type,type,
hskp8: $o ).
thf(hskp7_type,type,
hskp7: $o ).
thf(hskp6_type,type,
hskp6: $o ).
thf(hskp5_type,type,
hskp5: $o ).
thf(hskp4_type,type,
hskp4: $o ).
thf(hskp3_type,type,
hskp3: $o ).
thf(hskp2_type,type,
hskp2: $o ).
thf(hskp1_type,type,
hskp1: $o ).
thf(hskp0_type,type,
hskp0: $o ).
thf(c1_1_type,type,
c1_1: $i > $o ).
thf(a1105_type,type,
a1105: $i ).
thf(c3_1_type,type,
c3_1: $i > $o ).
thf(c2_1_type,type,
c2_1: $i > $o ).
thf(a1103_type,type,
a1103: $i ).
thf(a1099_type,type,
a1099: $i ).
thf(a1097_type,type,
a1097: $i ).
thf(a1095_type,type,
a1095: $i ).
thf(a1086_type,type,
a1086: $i ).
thf(a1085_type,type,
a1085: $i ).
thf(c0_1_type,type,
c0_1: $i > $o ).
thf(a1084_type,type,
a1084: $i ).
thf(a1081_type,type,
a1081: $i ).
thf(a1074_type,type,
a1074: $i ).
thf(a1073_type,type,
a1073: $i ).
thf(a1071_type,type,
a1071: $i ).
thf(a1070_type,type,
a1070: $i ).
thf(a1069_type,type,
a1069: $i ).
thf(a1065_type,type,
a1065: $i ).
thf(a1062_type,type,
a1062: $i ).
thf(a1056_type,type,
a1056: $i ).
thf(a1053_type,type,
a1053: $i ).
thf(a1052_type,type,
a1052: $i ).
thf(a1051_type,type,
a1051: $i ).
thf(a1049_type,type,
a1049: $i ).
thf(a1046_type,type,
a1046: $i ).
thf(a1045_type,type,
a1045: $i ).
thf(a1044_type,type,
a1044: $i ).
thf(a1042_type,type,
a1042: $i ).
thf(a1040_type,type,
a1040: $i ).
thf(a1037_type,type,
a1037: $i ).
thf(a1034_type,type,
a1034: $i ).
thf(a1033_type,type,
a1033: $i ).
thf(a1032_type,type,
a1032: $i ).
thf(a1031_type,type,
a1031: $i ).
thf(a1029_type,type,
a1029: $i ).
thf(a1028_type,type,
a1028: $i ).
thf(a1022_type,type,
a1022: $i ).
thf(a1021_type,type,
a1021: $i ).
thf(a1102_type,type,
a1102: $i ).
thf(a1101_type,type,
a1101: $i ).
thf(a1098_type,type,
a1098: $i ).
thf(a1089_type,type,
a1089: $i ).
thf(a1088_type,type,
a1088: $i ).
thf(a1083_type,type,
a1083: $i ).
thf(a1079_type,type,
a1079: $i ).
thf(a1078_type,type,
a1078: $i ).
thf(a1077_type,type,
a1077: $i ).
thf(a1064_type,type,
a1064: $i ).
thf(a1059_type,type,
a1059: $i ).
thf(a1048_type,type,
a1048: $i ).
thf(a1043_type,type,
a1043: $i ).
thf(a1041_type,type,
a1041: $i ).
thf(a1039_type,type,
a1039: $i ).
thf(a1038_type,type,
a1038: $i ).
thf(a1036_type,type,
a1036: $i ).
thf(a1035_type,type,
a1035: $i ).
thf(a1027_type,type,
a1027: $i ).
thf(a1026_type,type,
a1026: $i ).
thf(a1024_type,type,
a1024: $i ).
thf(a1023_type,type,
a1023: $i ).
thf(a1020_type,type,
a1020: $i ).
thf(a1091_type,type,
a1091: $i ).
thf(a1082_type,type,
a1082: $i ).
thf(a1080_type,type,
a1080: $i ).
thf(a1055_type,type,
a1055: $i ).
thf(a1030_type,type,
a1030: $i ).
thf(a1025_type,type,
a1025: $i ).
thf(90,negated_conjecture,
( ~ hskp53
| ( c1_1 @ a1073 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
thf(629,plain,
( ~ hskp53
| ( c1_1 @ a1073 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(29,negated_conjecture,
( ~ hskp35
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
thf(365,plain,
( ~ hskp35
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(54,negated_conjecture,
( ~ hskp10
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
thf(479,plain,
( ~ hskp10
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(14,negated_conjecture,
( ~ hskp50
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
thf(347,plain,
( ~ hskp50
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(267,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c3_1 @ A )
| hskp36
| hskp48 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause267) ).
thf(518,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c3_1 @ A )
| hskp36
| hskp48 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(44,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
thf(468,plain,
( ~ hskp20
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(43,negated_conjecture,
( ~ hskp21
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
thf(555,plain,
( ~ hskp21
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(10,negated_conjecture,
( ~ hskp54
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
thf(333,plain,
( ~ hskp54
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(100,negated_conjecture,
( ~ hskp49
| ( c1_1 @ a1065 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
thf(628,plain,
( ~ hskp49
| ( c1_1 @ a1065 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(144,negated_conjecture,
( ~ hskp27
| ( c3_1 @ a1101 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
thf(481,plain,
( ~ hskp27
| ( c3_1 @ a1101 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(157,negated_conjecture,
( ~ hskp16
| ( c0_1 @ a1064 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
thf(352,plain,
( ~ hskp16
| ( c0_1 @ a1064 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(28,negated_conjecture,
( ~ hskp36
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
thf(408,plain,
( ~ hskp36
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(105,negated_conjecture,
( ~ hskp47
| ( c1_1 @ a1056 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
thf(449,plain,
( ~ hskp47
| ( c1_1 @ a1056 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(293,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c3_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause293) ).
thf(379,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c3_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(68,negated_conjecture,
( hskp43
| hskp27
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
thf(614,plain,
( hskp43
| hskp27
| hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(183,negated_conjecture,
( ~ ( c3_1 @ a1084 )
| ~ hskp56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
thf(597,plain,
( ~ ( c3_1 @ a1084 )
| ~ hskp56 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(241,negated_conjecture,
( ~ ( c2_1 @ a1039 )
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause241) ).
thf(523,plain,
( ~ ( c2_1 @ a1039 )
| ~ hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(235,negated_conjecture,
( ~ ( c2_1 @ a1055 )
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause235) ).
thf(582,plain,
( ~ ( c2_1 @ a1055 )
| ~ hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(41,negated_conjecture,
( ~ hskp23
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
thf(440,plain,
( ~ hskp23
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(251,negated_conjecture,
( ~ ( c3_1 @ a1027 )
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause251) ).
thf(511,plain,
( ~ ( c3_1 @ a1027 )
| ~ hskp5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(133,negated_conjecture,
( ~ hskp34
| ( c3_1 @ a1032 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
thf(385,plain,
( ~ hskp34
| ( c3_1 @ a1032 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(89,negated_conjecture,
( ~ hskp54
| ( c2_1 @ a1074 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
thf(384,plain,
( ~ hskp54
| ( c2_1 @ a1074 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(63,negated_conjecture,
( ~ hskp1
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
thf(533,plain,
( ~ hskp1
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(11,negated_conjecture,
( ~ hskp53
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
thf(550,plain,
( ~ hskp53
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(271,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp60
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause271) ).
thf(500,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp60
| hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(118,negated_conjecture,
( ~ hskp41
| ( c3_1 @ a1045 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
thf(472,plain,
( ~ hskp41
| ( c3_1 @ a1045 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(24,negated_conjecture,
( ~ hskp40
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
thf(340,plain,
( ~ hskp40
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(95,negated_conjecture,
( ~ hskp52
| ( c3_1 @ a1071 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
thf(538,plain,
( ~ hskp52
| ( c3_1 @ a1071 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(160,negated_conjecture,
( ~ hskp13
| ( c0_1 @ a1048 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
thf(404,plain,
( ~ hskp13
| ( c0_1 @ a1048 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(252,negated_conjecture,
( ~ ( c2_1 @ a1026 )
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause252) ).
thf(417,plain,
( ~ ( c2_1 @ a1026 )
| ~ hskp4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(225,negated_conjecture,
( ~ ( c1_1 @ a1080 )
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause225) ).
thf(436,plain,
( ~ ( c1_1 @ a1080 )
| ~ hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(249,negated_conjecture,
( ~ ( c3_1 @ a1030 )
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause249) ).
thf(320,plain,
( ~ ( c3_1 @ a1030 )
| ~ hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(26,negated_conjecture,
( ~ hskp38
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
thf(565,plain,
( ~ hskp38
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(74,negated_conjecture,
( ~ hskp62
| ( c1_1 @ a1103 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
thf(389,plain,
( ~ hskp62
| ( c1_1 @ a1103 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(139,negated_conjecture,
( ~ hskp31
| ( c3_1 @ a1028 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
thf(570,plain,
( ~ hskp31
| ( c3_1 @ a1028 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(84,negated_conjecture,
( ~ hskp56
| ( c0_1 @ a1084 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
thf(372,plain,
( ~ hskp56
| ( c0_1 @ a1084 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(213,negated_conjecture,
( ~ ( c3_1 @ a1091 )
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause213) ).
thf(504,plain,
( ~ ( c3_1 @ a1091 )
| ~ hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(25,negated_conjecture,
( ~ hskp39
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
thf(344,plain,
( ~ hskp39
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(284,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp33
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause284) ).
thf(357,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| hskp33
| hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(300,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause300) ).
thf(587,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(47,negated_conjecture,
( ~ hskp17
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
thf(619,plain,
( ~ hskp17
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(67,negated_conjecture,
( hskp39
| hskp17
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
thf(542,plain,
( hskp39
| hskp17
| hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(34,negated_conjecture,
( ~ hskp30
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
thf(460,plain,
( ~ hskp30
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(218,negated_conjecture,
( ~ ( c2_1 @ a1088 )
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause218) ).
thf(559,plain,
( ~ ( c2_1 @ a1088 )
| ~ hskp23 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(285,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ B )
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause285) ).
thf(421,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ B )
| hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(283,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| hskp54
| hskp47 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause283) ).
thf(606,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| hskp54
| hskp47 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(229,negated_conjecture,
( ~ ( c0_1 @ a1077 )
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause229) ).
thf(416,plain,
( ~ ( c0_1 @ a1077 )
| ~ hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(308,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ B )
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause308) ).
thf(325,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ B )
| hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(237,negated_conjecture,
( ~ ( c1_1 @ a1043 )
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause237) ).
thf(448,plain,
( ~ ( c1_1 @ a1043 )
| ~ hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(259,negated_conjecture,
( ~ ( c0_1 @ a1023 )
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause259) ).
thf(475,plain,
( ~ ( c0_1 @ a1023 )
| ~ hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(81,negated_conjecture,
( ~ hskp57
| ( c2_1 @ a1085 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
thf(492,plain,
( ~ hskp57
| ( c2_1 @ a1085 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(30,negated_conjecture,
( ~ hskp34
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
thf(591,plain,
( ~ hskp34
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(2,negated_conjecture,
( ~ hskp62
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(443,plain,
( ~ hskp62
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(234,negated_conjecture,
( ~ ( c1_1 @ a1055 )
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause234) ).
thf(321,plain,
( ~ ( c1_1 @ a1055 )
| ~ hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(280,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp52
| hskp34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause280) ).
thf(376,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp52
| hskp34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(83,negated_conjecture,
( ~ hskp57
| ( c3_1 @ a1085 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
thf(623,plain,
( ~ hskp57
| ( c3_1 @ a1085 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(86,negated_conjecture,
( ~ hskp55
| ( c3_1 @ a1081 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
thf(485,plain,
( ~ hskp55
| ( c3_1 @ a1081 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(223,negated_conjecture,
( ~ ( c0_1 @ a1080 )
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause223) ).
thf(514,plain,
( ~ ( c0_1 @ a1080 )
| ~ hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(189,negated_conjecture,
( ~ ( c2_1 @ a1065 )
| ~ hskp49 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
thf(353,plain,
( ~ ( c2_1 @ a1065 )
| ~ hskp49 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(313,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ B )
| ( c3_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause313) ).
thf(480,plain,
! [C: $i,B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c0_1 @ A )
| ~ ( c2_1 @ B )
| ( c3_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(184,negated_conjecture,
( ~ ( c1_1 @ a1084 )
| ~ hskp56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
thf(348,plain,
( ~ ( c1_1 @ a1084 )
| ~ hskp56 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(8,negated_conjecture,
( ~ hskp56
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(574,plain,
( ~ hskp56
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(268,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| ( c2_1 @ A )
| hskp42
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause268) ).
thf(602,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| ( c2_1 @ A )
| hskp42
| hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(6,negated_conjecture,
( ~ hskp58
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(397,plain,
( ~ hskp58
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(148,negated_conjecture,
( ~ hskp23
| ( c1_1 @ a1088 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
thf(453,plain,
( ~ hskp23
| ( c1_1 @ a1088 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(233,negated_conjecture,
( ~ ( c0_1 @ a1055 )
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause233) ).
thf(396,plain,
( ~ ( c0_1 @ a1055 )
| ~ hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(70,negated_conjecture,
( ~ hskp63
| ( c1_1 @ a1105 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
thf(411,plain,
( ~ hskp63
| ( c1_1 @ a1105 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(141,negated_conjecture,
( ~ hskp30
| ( c1_1 @ a1022 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
thf(428,plain,
( ~ hskp30
| ( c1_1 @ a1022 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(155,negated_conjecture,
( ~ hskp17
| ( c3_1 @ a1077 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
thf(507,plain,
( ~ hskp17
| ( c3_1 @ a1077 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(209,negated_conjecture,
( ~ ( c1_1 @ a1102 )
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause209) ).
thf(527,plain,
( ~ ( c1_1 @ a1102 )
| ~ hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(166,negated_conjecture,
( ~ hskp8
| ( c0_1 @ a1036 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
thf(452,plain,
( ~ hskp8
| ( c0_1 @ a1036 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(132,negated_conjecture,
( ~ hskp35
| ( c3_1 @ a1033 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
thf(380,plain,
( ~ hskp35
| ( c3_1 @ a1033 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(123,negated_conjecture,
( ~ hskp38
| ( c1_1 @ a1040 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
thf(529,plain,
( ~ hskp38
| ( c1_1 @ a1040 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(31,negated_conjecture,
( ~ hskp33
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
thf(546,plain,
( ~ hskp33
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(1,negated_conjecture,
( ~ hskp63
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(381,plain,
( ~ hskp63
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(216,negated_conjecture,
( ~ ( c2_1 @ a1089 )
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause216) ).
thf(366,plain,
( ~ ( c2_1 @ a1089 )
| ~ hskp24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(295,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ B )
| hskp42 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause295) ).
thf(534,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c2_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ B )
| hskp42 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(130,negated_conjecture,
( ~ hskp35
| ( c0_1 @ a1033 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
thf(512,plain,
( ~ hskp35
| ( c0_1 @ a1033 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(129,negated_conjecture,
( ~ hskp36
| ( c1_1 @ a1034 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
thf(439,plain,
( ~ hskp36
| ( c1_1 @ a1034 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(56,negated_conjecture,
( ~ hskp8
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
thf(334,plain,
( ~ hskp8
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(110,negated_conjecture,
( ~ hskp45
| ( c2_1 @ a1052 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
thf(349,plain,
( ~ hskp45
| ( c2_1 @ a1052 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(19,negated_conjecture,
( ~ hskp45
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
thf(598,plain,
( ~ hskp45
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(250,negated_conjecture,
( ~ ( c0_1 @ a1030 )
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause250) ).
thf(561,plain,
( ~ ( c0_1 @ a1030 )
| ~ hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(248,negated_conjecture,
( ~ ( c2_1 @ a1030 )
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause248) ).
thf(392,plain,
( ~ ( c2_1 @ a1030 )
| ~ hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(9,negated_conjecture,
( ~ hskp55
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
thf(424,plain,
( ~ hskp55
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(77,negated_conjecture,
( ~ hskp60
| ( c3_1 @ a1097 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
thf(429,plain,
( ~ hskp60
| ( c3_1 @ a1097 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(33,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
thf(407,plain,
( ~ hskp31
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(111,negated_conjecture,
( ~ hskp44
| ( c1_1 @ a1051 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
thf(630,plain,
( ~ hskp44
| ( c1_1 @ a1051 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(22,negated_conjecture,
( ~ hskp42
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
thf(467,plain,
( ~ hskp42
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(57,negated_conjecture,
( ~ hskp7
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
thf(361,plain,
( ~ hskp7
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(215,negated_conjecture,
( ~ ( c2_1 @ a1091 )
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause215) ).
thf(625,plain,
( ~ ( c2_1 @ a1091 )
| ~ hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(124,negated_conjecture,
( ~ hskp38
| ( c3_1 @ a1040 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
thf(435,plain,
( ~ hskp38
| ( c3_1 @ a1040 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(217,negated_conjecture,
( ~ ( c1_1 @ a1089 )
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause217) ).
thf(329,plain,
( ~ ( c1_1 @ a1089 )
| ~ hskp24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(279,negated_conjecture,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp50
| hskp51 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause279) ).
thf(461,plain,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp50
| hskp51 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(230,negated_conjecture,
( ~ ( c2_1 @ a1077 )
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause230) ).
thf(493,plain,
( ~ ( c2_1 @ a1077 )
| ~ hskp17 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(72,negated_conjecture,
( ~ hskp62
| ( c2_1 @ a1103 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
thf(551,plain,
( ~ hskp62
| ( c2_1 @ a1103 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(161,negated_conjecture,
( ~ hskp13
| ( c3_1 @ a1048 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
thf(456,plain,
( ~ hskp13
| ( c3_1 @ a1048 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(115,negated_conjecture,
( ~ hskp43
| ( c1_1 @ a1049 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
thf(324,plain,
( ~ hskp43
| ( c1_1 @ a1049 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(258,negated_conjecture,
( ~ ( c1_1 @ a1023 )
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause258) ).
thf(566,plain,
( ~ ( c1_1 @ a1023 )
| ~ hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(181,negated_conjecture,
( ~ ( c3_1 @ a1095 )
| ~ hskp59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
thf(484,plain,
( ~ ( c3_1 @ a1095 )
| ~ hskp59 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(246,negated_conjecture,
( ~ ( c1_1 @ a1036 )
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause246) ).
thf(583,plain,
( ~ ( c1_1 @ a1036 )
| ~ hskp8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(3,negated_conjecture,
( ~ hskp61
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(522,plain,
( ~ hskp61
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(69,negated_conjecture,
( hskp62
| hskp56
| hskp63 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
thf(317,plain,
( hskp62
| hskp56
| hskp63 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(62,negated_conjecture,
( ~ hskp2
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
thf(615,plain,
( ~ hskp2
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(260,negated_conjecture,
( ~ ( c1_1 @ a1020 )
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause260) ).
thf(403,plain,
( ~ ( c1_1 @ a1020 )
| ~ hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(312,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c1_1 @ C )
| ( c3_1 @ C )
| ( c0_1 @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause312) ).
thf(388,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c1_1 @ B )
| ( c1_1 @ C )
| ( c3_1 @ C )
| ( c0_1 @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(93,negated_conjecture,
( ~ hskp52
| ( c1_1 @ a1071 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
thf(356,plain,
( ~ hskp52
| ( c1_1 @ a1071 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(190,negated_conjecture,
( ~ ( c1_1 @ a1053 )
| ~ hskp46 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
thf(593,plain,
( ~ ( c1_1 @ a1053 )
| ~ hskp46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(294,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ B )
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause294) ).
thf(610,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ B )
| hskp31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(97,negated_conjecture,
( ~ hskp51
| ( c0_1 @ a1070 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
thf(420,plain,
( ~ hskp51
| ( c0_1 @ a1070 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(303,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ B )
| hskp47 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause303) ).
thf(499,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ B )
| hskp47 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(167,negated_conjecture,
( ~ hskp7
| ( c0_1 @ a1035 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
thf(519,plain,
( ~ hskp7
| ( c0_1 @ a1035 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(82,negated_conjecture,
( ~ hskp57
| ( c0_1 @ a1085 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
thf(578,plain,
( ~ hskp57
| ( c0_1 @ a1085 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(172,negated_conjecture,
( ~ hskp2
| ( c2_1 @ a1024 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
thf(488,plain,
( ~ hskp2
| ( c2_1 @ a1024 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(42,negated_conjecture,
( ~ hskp22
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
thf(339,plain,
( ~ hskp22
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(143,negated_conjecture,
( ~ hskp28
| ( c2_1 @ a1102 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
thf(554,plain,
( ~ hskp28
| ( c2_1 @ a1102 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(150,negated_conjecture,
( ~ hskp22
| ( c2_1 @ a1083 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
thf(537,plain,
( ~ hskp22
| ( c2_1 @ a1083 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(27,negated_conjecture,
( ~ hskp37
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
thf(476,plain,
( ~ hskp37
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(255,negated_conjecture,
( ~ ( c3_1 @ a1025 )
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause255) ).
thf(526,plain,
( ~ ( c3_1 @ a1025 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(113,negated_conjecture,
( ~ hskp43
| ( c0_1 @ a1049 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
thf(489,plain,
( ~ hskp43
| ( c0_1 @ a1049 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(146,negated_conjecture,
( ~ hskp26
| ( c1_1 @ a1098 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
thf(590,plain,
( ~ hskp26
| ( c1_1 @ a1098 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(177,negated_conjecture,
( ~ ( c3_1 @ a1099 )
| ~ hskp61 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
thf(547,plain,
( ~ ( c3_1 @ a1099 )
| ~ hskp61 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(202,negated_conjecture,
( ~ ( c1_1 @ a1031 )
| ~ hskp33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
thf(328,plain,
( ~ ( c1_1 @ a1031 )
| ~ hskp33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(59,negated_conjecture,
( ~ hskp5
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
thf(471,plain,
( ~ hskp5
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(122,negated_conjecture,
( ~ hskp39
| ( c2_1 @ a1042 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
thf(622,plain,
( ~ hskp39
| ( c2_1 @ a1042 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(270,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c1_1 @ A )
| hskp55
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause270) ).
thf(393,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c1_1 @ A )
| hskp55
| hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(306,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp51 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause306) ).
thf(515,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| hskp51 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(17,negated_conjecture,
( ~ hskp47
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
thf(457,plain,
( ~ hskp47
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(171,negated_conjecture,
( ~ hskp4
| ( c0_1 @ a1026 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
thf(569,plain,
( ~ hskp4
| ( c0_1 @ a1026 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(121,negated_conjecture,
( ~ hskp39
| ( c0_1 @ a1042 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
thf(371,plain,
( ~ hskp39
| ( c0_1 @ a1042 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(140,negated_conjecture,
( ~ hskp30
| ( c3_1 @ a1022 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
thf(503,plain,
( ~ hskp30
| ( c3_1 @ a1022 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(94,negated_conjecture,
( ~ hskp52
| ( c0_1 @ a1071 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
thf(605,plain,
( ~ hskp52
| ( c0_1 @ a1071 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(37,negated_conjecture,
( ~ hskp27
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
thf(343,plain,
( ~ hskp27
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(289,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause289) ).
thf(360,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c2_1 @ B )
| ( c3_1 @ B )
| hskp34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(198,negated_conjecture,
( ~ ( c1_1 @ a1037 )
| ~ hskp37 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
thf(508,plain,
( ~ ( c1_1 @ a1037 )
| ~ hskp37 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(50,negated_conjecture,
( ~ hskp14
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
thf(541,plain,
( ~ hskp14
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(60,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
thf(398,plain,
( ~ hskp4
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(203,negated_conjecture,
( ~ ( c0_1 @ a1029 )
| ~ hskp32 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
thf(558,plain,
( ~ ( c0_1 @ a1029 )
| ~ hskp32 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(194,negated_conjecture,
( ~ ( c1_1 @ a1045 )
| ~ hskp41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
thf(530,plain,
( ~ ( c1_1 @ a1045 )
| ~ hskp41 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(151,negated_conjecture,
( ~ hskp22
| ( c3_1 @ a1083 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
thf(586,plain,
( ~ hskp22
| ( c3_1 @ a1083 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(275,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp40
| hskp41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause275) ).
thf(412,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| hskp40
| hskp41 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(131,negated_conjecture,
( ~ hskp35
| ( c1_1 @ a1033 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
thf(618,plain,
( ~ hskp35
| ( c1_1 @ a1033 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(188,negated_conjecture,
( ~ ( c0_1 @ a1065 )
| ~ hskp49 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
thf(425,plain,
( ~ ( c0_1 @ a1065 )
| ~ hskp49 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(114,negated_conjecture,
( ~ hskp43
| ( c2_1 @ a1049 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
thf(573,plain,
( ~ hskp43
| ( c2_1 @ a1049 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(266,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp15
| hskp33 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause266) ).
thf(444,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp15
| hskp33 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(147,negated_conjecture,
( ~ hskp24
| ( c0_1 @ a1089 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
thf(375,plain,
( ~ hskp24
| ( c0_1 @ a1089 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(107,negated_conjecture,
( ~ hskp46
| ( c0_1 @ a1053 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
thf(601,plain,
( ~ hskp46
| ( c0_1 @ a1053 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(278,negated_conjecture,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp7
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause278) ).
thf(513,plain,
! [A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp7
| hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(193,negated_conjecture,
( ~ ( c2_1 @ a1046 )
| ~ hskp42 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
thf(430,plain,
( ~ ( c2_1 @ a1046 )
| ~ hskp42 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(214,negated_conjecture,
( ~ ( c0_1 @ a1091 )
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause214) ).
thf(584,plain,
( ~ ( c0_1 @ a1091 )
| ~ hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(231,negated_conjecture,
( ~ ( c3_1 @ a1064 )
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause231) ).
thf(562,plain,
( ~ ( c3_1 @ a1064 )
| ~ hskp16 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(156,negated_conjecture,
( ~ hskp16
| ( c2_1 @ a1064 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
thf(423,plain,
( ~ hskp16
| ( c2_1 @ a1064 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(302,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause302) ).
thf(402,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(272,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp4
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause272) ).
thf(577,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp4
| hskp5 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(290,negated_conjecture,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ B )
| ( c1_1 @ B )
| ( c0_1 @ B )
| ( c2_1 @ A )
| hskp49 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause290) ).
thf(579,plain,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ( c3_1 @ B )
| ( c1_1 @ B )
| ( c0_1 @ B )
| ( c2_1 @ A )
| hskp49 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(127,negated_conjecture,
( ~ hskp37
| ( c3_1 @ a1037 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
thf(545,plain,
( ~ hskp37
| ( c3_1 @ a1037 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(21,negated_conjecture,
( ~ hskp43
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
thf(413,plain,
( ~ hskp43
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(292,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| ( c1_1 @ B )
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause292) ).
thf(391,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| ( c1_1 @ B )
| hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(205,negated_conjecture,
( ~ ( c2_1 @ a1022 )
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).
thf(445,plain,
( ~ ( c2_1 @ a1022 )
| ~ hskp30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(265,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp36
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause265) ).
thf(382,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp36
| hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(55,negated_conjecture,
( ~ hskp9
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
thf(572,plain,
( ~ hskp9
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(126,negated_conjecture,
( ~ hskp37
| ( c0_1 @ a1037 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
thf(611,plain,
( ~ hskp37
| ( c0_1 @ a1037 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(98,negated_conjecture,
( ~ hskp50
| ( c3_1 @ a1069 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
thf(498,plain,
( ~ hskp50
| ( c3_1 @ a1069 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(191,negated_conjecture,
( ~ ( c2_1 @ a1053 )
| ~ hskp46 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
thf(466,plain,
( ~ ( c2_1 @ a1053 )
| ~ hskp46 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(142,negated_conjecture,
( ~ hskp29
| ( c2_1 @ a1021 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
thf(335,plain,
( ~ hskp29
| ( c2_1 @ a1021 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(125,negated_conjecture,
( ~ hskp38
| ( c2_1 @ a1040 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
thf(350,plain,
( ~ hskp38
| ( c2_1 @ a1040 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(310,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ A )
| hskp36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause310) ).
thf(540,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ A )
| hskp36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(195,negated_conjecture,
( ~ ( c0_1 @ a1045 )
| ~ hskp41 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
thf(604,plain,
( ~ ( c0_1 @ a1045 )
| ~ hskp41 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(165,negated_conjecture,
( ~ hskp9
| ( c2_1 @ a1038 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
thf(406,plain,
( ~ hskp9
| ( c2_1 @ a1038 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(65,negated_conjecture,
( hskp0
| hskp29
| hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
thf(419,plain,
( hskp0
| hskp29
| hskp30 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(61,negated_conjecture,
( ~ hskp3
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
thf(377,plain,
( ~ hskp3
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(138,negated_conjecture,
( ~ hskp31
| ( c0_1 @ a1028 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
thf(318,plain,
( ~ hskp31
| ( c0_1 @ a1028 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(178,negated_conjecture,
( ~ ( c0_1 @ a1099 )
| ~ hskp61 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
thf(616,plain,
( ~ ( c0_1 @ a1099 )
| ~ hskp61 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(305,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause305) ).
thf(599,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp25 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(316,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c1_1 @ C )
| ~ ( c3_1 @ C )
| ( c3_1 @ A )
| ( c3_1 @ B )
| ( c1_1 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause316) ).
thf(362,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c2_1 @ C )
| ~ ( c1_1 @ C )
| ~ ( c3_1 @ C )
| ( c3_1 @ A )
| ( c3_1 @ B )
| ( c1_1 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(298,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp35 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause298) ).
thf(451,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c2_1 @ A )
| ( c3_1 @ A )
| ( c0_1 @ B )
| hskp35 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(158,negated_conjecture,
( ~ hskp15
| ( c3_1 @ a1059 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
thf(567,plain,
( ~ hskp15
| ( c3_1 @ a1059 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(108,negated_conjecture,
( ~ hskp45
| ( c0_1 @ a1052 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
thf(509,plain,
( ~ hskp45
| ( c0_1 @ a1052 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(256,negated_conjecture,
( ~ ( c2_1 @ a1025 )
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause256) ).
thf(434,plain,
( ~ ( c2_1 @ a1025 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(71,negated_conjecture,
( ~ hskp63
| ( c3_1 @ a1105 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
thf(477,plain,
( ~ hskp63
| ( c3_1 @ a1105 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(243,negated_conjecture,
( ~ ( c1_1 @ a1038 )
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause243) ).
thf(387,plain,
( ~ ( c1_1 @ a1038 )
| ~ hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(76,negated_conjecture,
( ~ hskp60
| ( c2_1 @ a1097 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
thf(494,plain,
( ~ hskp60
| ( c2_1 @ a1097 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(254,negated_conjecture,
( ~ ( c0_1 @ a1025 )
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause254) ).
thf(631,plain,
( ~ ( c0_1 @ a1025 )
| ~ hskp3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(18,negated_conjecture,
( ~ hskp46
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
thf(535,plain,
( ~ hskp46
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(4,negated_conjecture,
( ~ hskp60
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(609,plain,
( ~ hskp60
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(170,negated_conjecture,
( ~ hskp5
| ( c2_1 @ a1027 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
thf(323,plain,
( ~ hskp5
| ( c2_1 @ a1027 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(273,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp32
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause273) ).
thf(594,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp32
| hskp6 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(200,negated_conjecture,
( ~ ( c2_1 @ a1032 )
| ~ hskp34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
thf(621,plain,
( ~ ( c2_1 @ a1032 )
| ~ hskp34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(236,negated_conjecture,
( ~ ( c2_1 @ a1048 )
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause236) ).
thf(483,plain,
( ~ ( c2_1 @ a1048 )
| ~ hskp13 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(35,negated_conjecture,
( ~ hskp29
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
thf(520,plain,
( ~ hskp29
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(222,negated_conjecture,
( ~ ( c0_1 @ a1082 )
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause222) ).
thf(626,plain,
( ~ ( c0_1 @ a1082 )
| ~ hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(276,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp13
| hskp43 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause276) ).
thf(330,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c3_1 @ A )
| hskp13
| hskp43 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(64,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
thf(462,plain,
( ~ hskp0
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(257,negated_conjecture,
( ~ ( c3_1 @ a1024 )
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause257) ).
thf(345,plain,
( ~ ( c3_1 @ a1024 )
| ~ hskp2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(164,negated_conjecture,
( ~ hskp10
| ( c1_1 @ a1039 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
thf(367,plain,
( ~ hskp10
| ( c1_1 @ a1039 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(175,negated_conjecture,
( ~ hskp0
| ( c0_1 @ a1020 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
thf(552,plain,
( ~ hskp0
| ( c0_1 @ a1020 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(226,negated_conjecture,
( ~ ( c0_1 @ a1079 )
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause226) ).
thf(521,plain,
( ~ ( c0_1 @ a1079 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(117,negated_conjecture,
( ~ hskp42
| ( c0_1 @ a1046 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
thf(399,plain,
( ~ hskp42
| ( c0_1 @ a1046 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(45,negated_conjecture,
( ~ hskp19
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
thf(455,plain,
( ~ hskp19
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(242,negated_conjecture,
( ~ ( c0_1 @ a1039 )
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause242) ).
thf(608,plain,
( ~ ( c0_1 @ a1039 )
| ~ hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(220,negated_conjecture,
( ~ ( c3_1 @ a1082 )
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause220) ).
thf(394,plain,
( ~ ( c3_1 @ a1082 )
| ~ hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(40,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
thf(563,plain,
( ~ hskp24
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(212,negated_conjecture,
( ~ ( c0_1 @ a1098 )
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause212) ).
thf(431,plain,
( ~ ( c0_1 @ a1098 )
| ~ hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(91,negated_conjecture,
( ~ hskp53
| ( c2_1 @ a1073 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
thf(505,plain,
( ~ hskp53
| ( c2_1 @ a1073 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(13,negated_conjecture,
( ~ hskp51
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
thf(438,plain,
( ~ hskp51
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(281,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp22
| hskp56 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause281) ).
thf(473,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c2_1 @ A )
| hskp22
| hskp56 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(219,negated_conjecture,
( ~ ( c1_1 @ a1083 )
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause219) ).
thf(490,plain,
( ~ ( c1_1 @ a1083 )
| ~ hskp22 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(53,negated_conjecture,
( ~ hskp11
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
thf(426,plain,
( ~ hskp11
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(36,negated_conjecture,
( ~ hskp28
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
thf(589,plain,
( ~ hskp28
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(145,negated_conjecture,
( ~ hskp27
| ( c1_1 @ a1101 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
thf(531,plain,
( ~ hskp27
| ( c1_1 @ a1101 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(182,negated_conjecture,
( ~ ( c0_1 @ a1086 )
| ~ hskp58 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
thf(548,plain,
( ~ ( c0_1 @ a1086 )
| ~ hskp58 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(253,negated_conjecture,
( ~ ( c1_1 @ a1026 )
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause253) ).
thf(374,plain,
( ~ ( c1_1 @ a1026 )
| ~ hskp4 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(187,negated_conjecture,
( ~ ( c0_1 @ a1069 )
| ~ hskp50 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
thf(487,plain,
( ~ ( c0_1 @ a1069 )
| ~ hskp50 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(301,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp38 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause301) ).
thf(342,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp38 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(46,negated_conjecture,
( ~ hskp18
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
thf(355,plain,
( ~ hskp18
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(314,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ C )
| ( c3_1 @ C )
| ( c1_1 @ C )
| ( c0_1 @ B )
| ( c2_1 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause314) ).
thf(553,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ C )
| ( c3_1 @ C )
| ( c1_1 @ C )
| ( c0_1 @ B )
| ( c2_1 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(149,negated_conjecture,
( ~ hskp23
| ( c3_1 @ a1088 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
thf(458,plain,
( ~ hskp23
| ( c3_1 @ a1088 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(277,negated_conjecture,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp10
| hskp43 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause277) ).
thf(617,plain,
! [A: $i] :
( ~ ( c1_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp10
| hskp43 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(135,negated_conjecture,
( ~ hskp33
| ( c2_1 @ a1031 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
thf(516,plain,
( ~ hskp33
| ( c2_1 @ a1031 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(162,negated_conjecture,
( ~ hskp12
| ( c0_1 @ a1043 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
thf(525,plain,
( ~ hskp12
| ( c0_1 @ a1043 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(87,negated_conjecture,
( ~ hskp54
| ( c3_1 @ a1074 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
thf(557,plain,
( ~ hskp54
| ( c3_1 @ a1074 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(119,negated_conjecture,
( ~ hskp40
| ( c3_1 @ a1044 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
thf(580,plain,
( ~ hskp40
| ( c3_1 @ a1044 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(137,negated_conjecture,
( ~ hskp32
| ( c2_1 @ a1029 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
thf(414,plain,
( ~ hskp32
| ( c2_1 @ a1029 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(269,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp19
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause269) ).
thf(327,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| hskp19
| hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(38,negated_conjecture,
( ~ hskp26
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
thf(409,plain,
( ~ hskp26
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(120,negated_conjecture,
( ~ hskp40
| ( c0_1 @ a1044 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
thf(331,plain,
( ~ hskp40
| ( c0_1 @ a1044 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(134,negated_conjecture,
( ~ hskp33
| ( c3_1 @ a1031 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
thf(441,plain,
( ~ hskp33
| ( c3_1 @ a1031 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(103,negated_conjecture,
( ~ hskp48
| ( c0_1 @ a1062 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
thf(502,plain,
( ~ hskp48
| ( c0_1 @ a1062 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(180,negated_conjecture,
( ~ ( c0_1 @ a1095 )
| ~ hskp59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
thf(463,plain,
( ~ ( c0_1 @ a1095 )
| ~ hskp59 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(185,negated_conjecture,
( ~ ( c0_1 @ a1081 )
| ~ hskp55 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
thf(338,plain,
( ~ ( c0_1 @ a1081 )
| ~ hskp55 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(228,negated_conjecture,
( ~ ( c1_1 @ a1078 )
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause228) ).
thf(359,plain,
( ~ ( c1_1 @ a1078 )
| ~ hskp18 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(16,negated_conjecture,
( ~ hskp48
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
thf(544,plain,
( ~ hskp48
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(287,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c2_1 @ B )
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause287) ).
thf(585,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c2_1 @ B )
| hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(238,negated_conjecture,
( ~ ( c3_1 @ a1043 )
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause238) ).
thf(370,plain,
( ~ ( c3_1 @ a1043 )
| ~ hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(291,negated_conjecture,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ A )
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause291) ).
thf(470,plain,
! [B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ A )
| ( c1_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| ( c0_1 @ A )
| hskp24 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(207,negated_conjecture,
( ~ ( c3_1 @ a1021 )
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).
thf(576,plain,
( ~ ( c3_1 @ a1021 )
| ~ hskp29 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(153,negated_conjecture,
( ~ hskp18
| ( c2_1 @ a1078 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
thf(336,plain,
( ~ hskp18
| ( c2_1 @ a1078 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(15,negated_conjecture,
( ~ hskp49
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
thf(613,plain,
( ~ hskp49
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(210,negated_conjecture,
( ~ ( c0_1 @ a1101 )
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause210) ).
thf(600,plain,
( ~ ( c0_1 @ a1101 )
| ~ hskp27 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(116,negated_conjecture,
( ~ hskp42
| ( c1_1 @ a1046 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
thf(386,plain,
( ~ hskp42
| ( c1_1 @ a1046 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(168,negated_conjecture,
( ~ hskp7
| ( c1_1 @ a1035 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
thf(595,plain,
( ~ hskp7
| ( c1_1 @ a1035 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(136,negated_conjecture,
( ~ hskp32
| ( c1_1 @ a1029 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
thf(612,plain,
( ~ hskp32
| ( c1_1 @ a1029 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(39,negated_conjecture,
( ~ hskp25
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
thf(497,plain,
( ~ hskp25
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(311,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ~ ndr1_0
| ~ ( c2_1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause311) ).
thf(446,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c0_1 @ B )
| ~ ( c1_1 @ A )
| ~ ( c3_1 @ B )
| ~ ( c2_1 @ B )
| ~ ndr1_0
| ~ ( c2_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(23,negated_conjecture,
( ~ hskp41
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
thf(571,plain,
( ~ hskp41
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(176,negated_conjecture,
( ~ ( c2_1 @ a1105 )
| ~ hskp63 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
thf(465,plain,
( ~ ( c2_1 @ a1105 )
| ~ hskp63 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(232,negated_conjecture,
( ~ ( c1_1 @ a1059 )
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause232) ).
thf(627,plain,
( ~ ( c1_1 @ a1059 )
| ~ hskp15 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(244,negated_conjecture,
( ~ ( c0_1 @ a1038 )
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause244) ).
thf(450,plain,
( ~ ( c0_1 @ a1038 )
| ~ hskp9 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(263,negated_conjecture,
! [A: $i] :
( ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A )
| hskp44
| hskp45 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause263) ).
thf(539,plain,
! [A: $i] :
( ~ ndr1_0
| ( c1_1 @ A )
| ( c3_1 @ A )
| ( c2_1 @ A )
| hskp44
| hskp45 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(49,negated_conjecture,
( ~ hskp15
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
thf(482,plain,
( ~ hskp15
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(7,negated_conjecture,
( ~ hskp57
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
thf(495,plain,
( ~ hskp57
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(179,negated_conjecture,
( ~ ( c0_1 @ a1097 )
| ~ hskp60 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
thf(368,plain,
( ~ ( c0_1 @ a1097 )
| ~ hskp60 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(78,negated_conjecture,
( ~ hskp59
| ( c1_1 @ a1095 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
thf(363,plain,
( ~ hskp59
| ( c1_1 @ a1095 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(99,negated_conjecture,
( ~ hskp50
| ( c1_1 @ a1069 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
thf(556,plain,
( ~ hskp50
| ( c1_1 @ a1069 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(80,negated_conjecture,
( ~ hskp58
| ( c3_1 @ a1086 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
thf(524,plain,
( ~ hskp58
| ( c3_1 @ a1086 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(58,negated_conjecture,
( ~ hskp6
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
thf(581,plain,
( ~ hskp6
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(315,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c2_1 @ A )
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause315) ).
thf(588,plain,
! [C: $i,B: $i,A: $i] :
( ~ ndr1_0
| ~ ( c2_1 @ A )
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ( c0_1 @ C )
| ( c1_1 @ C )
| ( c2_1 @ C )
| ( c3_1 @ A )
| ( c1_1 @ A )
| ( c0_1 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(299,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp61 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause299) ).
thf(517,plain,
! [B: $i,A: $i] :
( ~ ( c1_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c1_1 @ B )
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ B )
| hskp61 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(101,negated_conjecture,
( ~ hskp48
| ( c3_1 @ a1062 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
thf(319,plain,
( ~ hskp48
| ( c3_1 @ a1062 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(196,negated_conjecture,
( ~ ( c1_1 @ a1044 )
| ~ hskp40 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
thf(351,plain,
( ~ ( c1_1 @ a1044 )
| ~ hskp40 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(307,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c0_1 @ B )
| ( c2_1 @ A )
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause307) ).
thf(390,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c0_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c1_1 @ B )
| ~ ( c0_1 @ B )
| ( c2_1 @ A )
| hskp12 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(227,negated_conjecture,
( ~ ( c2_1 @ a1079 )
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause227) ).
thf(632,plain,
( ~ ( c2_1 @ a1079 )
| ~ hskp19 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(201,negated_conjecture,
( ~ ( c1_1 @ a1032 )
| ~ hskp34 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
thf(401,plain,
( ~ ( c1_1 @ a1032 )
| ~ hskp34 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(197,negated_conjecture,
( ~ ( c1_1 @ a1042 )
| ~ hskp39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
thf(418,plain,
( ~ ( c1_1 @ a1042 )
| ~ hskp39 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(186,negated_conjecture,
( ~ ( c1_1 @ a1070 )
| ~ hskp51 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
thf(568,plain,
( ~ ( c1_1 @ a1070 )
| ~ hskp51 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(221,negated_conjecture,
( ~ ( c2_1 @ a1082 )
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause221) ).
thf(378,plain,
( ~ ( c2_1 @ a1082 )
| ~ hskp21 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(12,negated_conjecture,
( ~ hskp52
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
thf(478,plain,
( ~ hskp52
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(206,negated_conjecture,
( ~ ( c1_1 @ a1021 )
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).
thf(383,plain,
( ~ ( c1_1 @ a1021 )
| ~ hskp29 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(52,negated_conjecture,
( ~ hskp12
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
thf(346,plain,
( ~ hskp12
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(154,negated_conjecture,
( ~ hskp18
| ( c0_1 @ a1078 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
thf(549,plain,
( ~ hskp18
| ( c0_1 @ a1078 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(282,negated_conjecture,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| hskp11
| hskp39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause282) ).
thf(536,plain,
! [A: $i] :
( ~ ( c0_1 @ A )
| ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| hskp11
| hskp39 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(109,negated_conjecture,
( ~ hskp45
| ( c3_1 @ a1052 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
thf(433,plain,
( ~ hskp45
| ( c3_1 @ a1052 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(240,negated_conjecture,
( ~ ( c2_1 @ a1041 )
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause240) ).
thf(510,plain,
( ~ ( c2_1 @ a1041 )
| ~ hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(163,negated_conjecture,
( ~ hskp11
| ( c1_1 @ a1041 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
thf(620,plain,
( ~ hskp11
| ( c1_1 @ a1041 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(128,negated_conjecture,
( ~ hskp36
| ( c3_1 @ a1034 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
thf(447,plain,
( ~ hskp36
| ( c3_1 @ a1034 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(96,negated_conjecture,
( ~ hskp51
| ( c2_1 @ a1070 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
thf(432,plain,
( ~ hskp51
| ( c2_1 @ a1070 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(297,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| hskp59 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause297) ).
thf(410,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c3_1 @ B )
| ~ ( c1_1 @ B )
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| hskp59 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(192,negated_conjecture,
( ~ ( c2_1 @ a1051 )
| ~ hskp44 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
thf(405,plain,
( ~ ( c2_1 @ a1051 )
| ~ hskp44 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(224,negated_conjecture,
( ~ ( c2_1 @ a1080 )
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause224) ).
thf(422,plain,
( ~ ( c2_1 @ a1080 )
| ~ hskp20 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(211,negated_conjecture,
( ~ ( c3_1 @ a1098 )
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause211) ).
thf(373,plain,
( ~ ( c3_1 @ a1098 )
| ~ hskp26 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(79,negated_conjecture,
( ~ hskp58
| ( c2_1 @ a1086 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
thf(603,plain,
( ~ hskp58
| ( c2_1 @ a1086 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(304,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp57 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause304) ).
thf(564,plain,
! [B: $i,A: $i] :
( ~ ( c2_1 @ A )
| ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c0_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ B )
| hskp57 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(5,negated_conjecture,
( ~ hskp59
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(326,plain,
( ~ hskp59
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(288,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause288) ).
thf(341,plain,
! [B: $i,A: $i] :
( ~ ( c0_1 @ A )
| ~ ndr1_0
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c3_1 @ B )
| ( c2_1 @ B )
| ( c0_1 @ B )
| hskp1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(66,negated_conjecture,
( hskp46
| hskp38
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
thf(506,plain,
( hskp46
| hskp38
| hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(152,negated_conjecture,
( ~ hskp19
| ( c1_1 @ a1079 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
thf(358,plain,
( ~ hskp19
| ( c1_1 @ a1079 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(173,negated_conjecture,
( ~ hskp2
| ( c1_1 @ a1024 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
thf(437,plain,
( ~ hskp2
| ( c1_1 @ a1024 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(204,negated_conjecture,
( ~ ( c1_1 @ a1028 )
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
thf(474,plain,
( ~ ( c1_1 @ a1028 )
| ~ hskp31 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(85,negated_conjecture,
( ~ hskp55
| ( c1_1 @ a1081 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
thf(400,plain,
( ~ hskp55
| ( c1_1 @ a1081 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(48,negated_conjecture,
( ~ hskp16
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
thf(532,plain,
( ~ hskp16
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(92,negated_conjecture,
( ~ hskp53
| ( c0_1 @ a1073 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
thf(415,plain,
( ~ hskp53
| ( c0_1 @ a1073 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(296,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| hskp58 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause296) ).
thf(464,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ~ ( c1_1 @ B )
| ~ ( c3_1 @ B )
| ( c1_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| hskp58 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(247,negated_conjecture,
( ~ ( c2_1 @ a1035 )
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause247) ).
thf(332,plain,
( ~ ( c2_1 @ a1035 )
| ~ hskp7 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(75,negated_conjecture,
( ~ hskp61
| ( c2_1 @ a1099 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
thf(575,plain,
( ~ hskp61
| ( c2_1 @ a1099 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(169,negated_conjecture,
( ~ hskp5
| ( c1_1 @ a1027 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
thf(427,plain,
( ~ hskp5
| ( c1_1 @ a1027 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(262,negated_conjecture,
! [A: $i] :
( ~ ndr1_0
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause262) ).
thf(596,plain,
! [A: $i] :
( ~ ndr1_0
| ( c3_1 @ A )
| ( c2_1 @ A )
| ( c0_1 @ A )
| hskp10 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(112,negated_conjecture,
( ~ hskp44
| ( c0_1 @ a1051 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
thf(528,plain,
( ~ hskp44
| ( c0_1 @ a1051 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(32,negated_conjecture,
( ~ hskp32
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
thf(459,plain,
( ~ hskp32
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(73,negated_conjecture,
( ~ hskp62
| ( c3_1 @ a1103 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
thf(442,plain,
( ~ hskp62
| ( c3_1 @ a1103 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(208,negated_conjecture,
( ~ ( c0_1 @ a1102 )
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause208) ).
thf(501,plain,
( ~ ( c0_1 @ a1102 )
| ~ hskp28 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(102,negated_conjecture,
( ~ hskp48
| ( c2_1 @ a1062 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
thf(395,plain,
( ~ hskp48
| ( c2_1 @ a1062 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(309,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| hskp53 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause309) ).
thf(624,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c2_1 @ A )
| ~ ndr1_0
| ~ ( c2_1 @ B )
| ~ ( c3_1 @ B )
| ~ ( c0_1 @ B )
| ( c1_1 @ A )
| hskp53 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(106,negated_conjecture,
( ~ hskp47
| ( c3_1 @ a1056 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
thf(369,plain,
( ~ hskp47
| ( c3_1 @ a1056 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(239,negated_conjecture,
( ~ ( c3_1 @ a1041 )
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause239) ).
thf(607,plain,
( ~ ( c3_1 @ a1041 )
| ~ hskp11 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(88,negated_conjecture,
( ~ hskp54
| ( c0_1 @ a1074 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
thf(322,plain,
( ~ hskp54
| ( c0_1 @ a1074 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(159,negated_conjecture,
( ~ hskp15
| ( c2_1 @ a1059 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
thf(486,plain,
( ~ hskp15
| ( c2_1 @ a1059 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(174,negated_conjecture,
( ~ hskp1
| ( c2_1 @ a1023 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
thf(337,plain,
( ~ hskp1
| ( c2_1 @ a1023 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(286,negated_conjecture,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp35 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause286) ).
thf(469,plain,
! [B: $i,A: $i] :
( ~ ( c3_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c2_1 @ B )
| ( c0_1 @ B )
| ( c3_1 @ B )
| hskp35 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(20,negated_conjecture,
( ~ hskp44
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
thf(354,plain,
( ~ hskp44
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(199,negated_conjecture,
( ~ ( c0_1 @ a1034 )
| ~ hskp36 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
thf(543,plain,
( ~ ( c0_1 @ a1034 )
| ~ hskp36 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(104,negated_conjecture,
( ~ hskp47
| ( c2_1 @ a1056 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
thf(560,plain,
( ~ hskp47
| ( c2_1 @ a1056 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(274,negated_conjecture,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp8
| hskp37 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause274) ).
thf(491,plain,
! [A: $i] :
( ~ ( c3_1 @ A )
| ~ ( c1_1 @ A )
| ~ ndr1_0
| ( c0_1 @ A )
| hskp8
| hskp37 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(51,negated_conjecture,
( ~ hskp13
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
thf(592,plain,
( ~ hskp13
| ndr1_0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(261,negated_conjecture,
( ~ ( c2_1 @ a1020 )
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause261) ).
thf(364,plain,
( ~ ( c2_1 @ a1020 )
| ~ hskp0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(245,negated_conjecture,
( ~ ( c3_1 @ a1036 )
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause245) ).
thf(496,plain,
( ~ ( c3_1 @ a1036 )
| ~ hskp8 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(264,negated_conjecture,
! [A: $i] :
( ~ ndr1_0
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A )
| hskp48
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause264) ).
thf(454,plain,
! [A: $i] :
( ~ ndr1_0
| ( c0_1 @ A )
| ( c2_1 @ A )
| ( c1_1 @ A )
| hskp48
| hskp14 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(1603,plain,
$false,
inference(cvc4,[status(thm)],[629,365,479,347,518,468,555,333,628,481,352,408,449,379,614,597,523,582,440,511,385,384,533,550,500,472,340,538,404,417,436,320,565,389,570,372,504,344,357,587,619,542,460,559,421,606,416,325,448,475,492,591,443,321,376,623,485,514,353,480,348,574,602,397,453,396,411,428,507,527,452,380,529,546,381,366,534,512,439,334,349,598,561,392,424,429,407,630,467,361,625,435,329,461,493,551,456,324,566,484,583,522,317,615,403,388,356,593,610,420,499,519,578,488,339,554,537,476,526,489,590,547,328,471,622,393,515,457,569,371,503,605,343,360,508,541,398,558,530,586,412,618,425,573,444,375,601,513,430,584,562,423,402,577,579,545,413,391,445,382,572,611,498,466,335,350,540,604,406,419,377,318,616,599,362,451,567,509,434,477,387,494,631,535,609,323,594,621,483,520,626,330,462,345,367,552,521,399,455,608,394,563,431,505,438,473,490,426,589,531,548,374,487,342,355,553,458,617,516,525,557,580,414,327,409,331,441,502,463,338,359,544,585,370,470,576,336,613,600,386,595,612,497,446,571,465,627,450,539,482,495,368,363,556,524,581,588,517,319,351,390,632,401,418,568,378,478,383,346,549,536,433,510,620,447,432,410,405,422,373,603,564,326,341,506,358,437,474,400,532,415,464,332,575,427,596,528,459,442,501,395,624,369,607,322,486,337,469,354,543,560,491,592,364,496,454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN447-1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n020.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 19:24:18 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.95/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.48/1.00 % [INFO] Parsing done (162ms).
% 1.48/1.01 % [INFO] Running in sequential loop mode.
% 1.85/1.21 % [INFO] eprover registered as external prover.
% 1.85/1.21 % [INFO] cvc4 registered as external prover.
% 2.07/1.22 % [INFO] Scanning for conjecture ...
% 2.51/1.41 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.77/1.50 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.77/1.51 % [INFO] Problem is propositional (TPTP CNF).
% 2.77/1.51 % [INFO] Type checking passed.
% 2.77/1.52 % [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 ...
% 12.15/3.21 % External prover 'cvc4' found a proof!
% 12.15/3.21 % [INFO] Killing All external provers ...
% 12.15/3.22 % Time passed: 2689ms (effective reasoning time: 2207ms)
% 12.15/3.22 % 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)>
% 12.15/3.22 % Axioms used in derivation (0):
% 12.15/3.22 % No. of inferences in proof: 633
% 12.15/3.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2689 ms resp. 2207 ms w/o parsing
% 12.15/3.29 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.15/3.30 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------