TSTP Solution File: SYN475-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 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 Sep 1 01:52:14 EDT 2023
% Result : Unsatisfiable 1.54s 1.63s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 279
% Syntax : Number of formulae : 605 ( 2 unt; 127 typ; 0 def)
% Number of atoms : 1863 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2325 ( 940 ~;1344 |; 0 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of predicates : 98 ( 97 usr; 94 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 237 ( 0 sgn; 41 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp29: $o ).
tff(decl_23,type,
ndr1_0: $o ).
tff(decl_24,type,
hskp28: $o ).
tff(decl_25,type,
hskp27: $o ).
tff(decl_26,type,
hskp26: $o ).
tff(decl_27,type,
hskp25: $o ).
tff(decl_28,type,
hskp24: $o ).
tff(decl_29,type,
hskp23: $o ).
tff(decl_30,type,
hskp22: $o ).
tff(decl_31,type,
hskp21: $o ).
tff(decl_32,type,
hskp20: $o ).
tff(decl_33,type,
hskp19: $o ).
tff(decl_34,type,
hskp18: $o ).
tff(decl_35,type,
hskp17: $o ).
tff(decl_36,type,
hskp16: $o ).
tff(decl_37,type,
hskp15: $o ).
tff(decl_38,type,
hskp14: $o ).
tff(decl_39,type,
hskp13: $o ).
tff(decl_40,type,
hskp12: $o ).
tff(decl_41,type,
hskp11: $o ).
tff(decl_42,type,
hskp10: $o ).
tff(decl_43,type,
hskp9: $o ).
tff(decl_44,type,
hskp8: $o ).
tff(decl_45,type,
hskp7: $o ).
tff(decl_46,type,
hskp6: $o ).
tff(decl_47,type,
hskp5: $o ).
tff(decl_48,type,
hskp4: $o ).
tff(decl_49,type,
hskp3: $o ).
tff(decl_50,type,
hskp2: $o ).
tff(decl_51,type,
hskp1: $o ).
tff(decl_52,type,
hskp0: $o ).
tff(decl_53,type,
a1040: $i ).
tff(decl_54,type,
c0_1: $i > $o ).
tff(decl_55,type,
c1_1: $i > $o ).
tff(decl_56,type,
c3_1: $i > $o ).
tff(decl_57,type,
a1033: $i ).
tff(decl_58,type,
c2_1: $i > $o ).
tff(decl_59,type,
a1029: $i ).
tff(decl_60,type,
a1052: $i ).
tff(decl_61,type,
a1048: $i ).
tff(decl_62,type,
a1045: $i ).
tff(decl_63,type,
a1044: $i ).
tff(decl_64,type,
a1043: $i ).
tff(decl_65,type,
a1041: $i ).
tff(decl_66,type,
a1036: $i ).
tff(decl_67,type,
a1032: $i ).
tff(decl_68,type,
a1030: $i ).
tff(decl_69,type,
a1026: $i ).
tff(decl_70,type,
a1025: $i ).
tff(decl_71,type,
a1023: $i ).
tff(decl_72,type,
a1019: $i ).
tff(decl_73,type,
a1015: $i ).
tff(decl_74,type,
a1012: $i ).
tff(decl_75,type,
a1011: $i ).
tff(decl_76,type,
a1010: $i ).
tff(decl_77,type,
a1008: $i ).
tff(decl_78,type,
a1006: $i ).
tff(decl_79,type,
a1004: $i ).
tff(decl_80,type,
a1003: $i ).
tff(decl_81,type,
a1002: $i ).
tff(decl_82,type,
a1001: $i ).
tff(decl_83,type,
a1000: $i ).
tff(decl_84,type,
a1038: $i ).
tff(decl_85,type,
a1037: $i ).
tff(decl_86,type,
a1005: $i ).
tff(decl_87,type,
epred1_0: $o ).
tff(decl_88,type,
epred2_0: $o ).
tff(decl_89,type,
epred3_0: $o ).
tff(decl_90,type,
epred4_0: $o ).
tff(decl_91,type,
epred5_0: $o ).
tff(decl_92,type,
epred6_0: $o ).
tff(decl_93,type,
epred7_0: $o ).
tff(decl_94,type,
epred8_0: $o ).
tff(decl_95,type,
epred9_0: $o ).
tff(decl_96,type,
epred10_0: $o ).
tff(decl_97,type,
epred11_0: $o ).
tff(decl_98,type,
epred12_0: $o ).
tff(decl_99,type,
epred13_0: $o ).
tff(decl_100,type,
epred14_0: $o ).
tff(decl_101,type,
epred15_0: $o ).
tff(decl_102,type,
epred16_0: $o ).
tff(decl_103,type,
epred17_0: $o ).
tff(decl_104,type,
epred18_0: $o ).
tff(decl_105,type,
epred19_0: $o ).
tff(decl_106,type,
epred20_0: $o ).
tff(decl_107,type,
epred21_0: $o ).
tff(decl_108,type,
epred22_0: $o ).
tff(decl_109,type,
epred23_0: $o ).
tff(decl_110,type,
epred24_0: $o ).
tff(decl_111,type,
epred25_0: $o ).
tff(decl_112,type,
epred26_0: $o ).
tff(decl_113,type,
epred27_0: $o ).
tff(decl_114,type,
epred28_0: $o ).
tff(decl_115,type,
epred29_0: $o ).
tff(decl_116,type,
epred30_0: $o ).
tff(decl_117,type,
epred31_0: $o ).
tff(decl_118,type,
epred32_0: $o ).
tff(decl_119,type,
epred33_0: $o ).
tff(decl_120,type,
epred34_0: $o ).
tff(decl_121,type,
epred35_0: $o ).
tff(decl_122,type,
epred36_0: $o ).
tff(decl_123,type,
epred37_0: $o ).
tff(decl_124,type,
epred38_0: $o ).
tff(decl_125,type,
epred39_0: $o ).
tff(decl_126,type,
epred40_0: $o ).
tff(decl_127,type,
epred41_0: $o ).
tff(decl_128,type,
epred42_0: $o ).
tff(decl_129,type,
epred43_0: $o ).
tff(decl_130,type,
epred44_0: $o ).
tff(decl_131,type,
epred45_0: $o ).
tff(decl_132,type,
epred46_0: $o ).
tff(decl_133,type,
epred47_0: $o ).
tff(decl_134,type,
epred48_0: $o ).
tff(decl_135,type,
epred49_0: $o ).
tff(decl_136,type,
epred50_0: $o ).
tff(decl_137,type,
epred51_0: $o ).
tff(decl_138,type,
epred52_0: $o ).
tff(decl_139,type,
epred53_0: $o ).
tff(decl_140,type,
epred54_0: $o ).
tff(decl_141,type,
epred55_0: $o ).
tff(decl_142,type,
epred56_0: $o ).
tff(decl_143,type,
epred57_0: $o ).
tff(decl_144,type,
epred58_0: $o ).
tff(decl_145,type,
epred59_0: $o ).
tff(decl_146,type,
epred60_0: $o ).
tff(decl_147,type,
epred61_0: $o ).
tff(decl_148,type,
epred62_0: $o ).
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause33,negated_conjecture,
( hskp29
| hskp3
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause4,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause27,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(clause147,negated_conjecture,
( hskp7
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(clause138,negated_conjecture,
( c1_1(X1)
| hskp23
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
cnf(clause56,negated_conjecture,
( c2_1(a1041)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause94,negated_conjecture,
( ~ c3_1(a1041)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause119,negated_conjecture,
( ~ c3_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause73,negated_conjecture,
( c2_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause118,negated_conjecture,
( ~ c1_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause149,negated_conjecture,
( hskp24
| hskp3
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(clause105,negated_conjecture,
( ~ c0_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause62,negated_conjecture,
( c2_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause106,negated_conjecture,
( ~ c1_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause72,negated_conjecture,
( c3_1(a1010)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause71,negated_conjecture,
( c0_1(a1010)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause117,negated_conjecture,
( ~ c1_1(a1010)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause83,negated_conjecture,
( c0_1(a1000)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( c2_1(a1000)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause129,negated_conjecture,
( ~ c3_1(a1000)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
cnf(clause78,negated_conjecture,
( c1_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause125,negated_conjecture,
( ~ c0_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ c2_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause124,negated_conjecture,
( ~ c3_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause77,negated_conjecture,
( c2_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause93,negated_conjecture,
( ~ c0_1(a1041)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause134,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp2
| hskp1
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause50,negated_conjecture,
( c1_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause87,negated_conjecture,
( ~ c0_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause65,negated_conjecture,
( c1_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause111,negated_conjecture,
( ~ c0_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
cnf(clause49,negated_conjecture,
( c3_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause86,negated_conjecture,
( ~ c2_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
cnf(clause54,negated_conjecture,
( c1_1(a1044)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause90,negated_conjecture,
( ~ c3_1(a1044)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause85,negated_conjecture,
( ~ c0_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause135,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp28
| hskp8
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
cnf(clause139,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp25
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
cnf(clause132,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp8
| hskp7
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
cnf(clause141,negated_conjecture,
( c2_1(X1)
| hskp8
| hskp26
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
cnf(clause140,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp15
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause42,negated_conjecture,
( c3_1(a1040)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause41,negated_conjecture,
( c1_1(a1040)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause40,negated_conjecture,
( c0_1(a1040)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause53,negated_conjecture,
( c0_1(a1044)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
cnf(clause52,negated_conjecture,
( c3_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause51,negated_conjecture,
( c1_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause89,negated_conjecture,
( ~ c0_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause60,negated_conjecture,
( c3_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause59,negated_conjecture,
( c2_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause102,negated_conjecture,
( ~ c0_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause76,negated_conjecture,
( c1_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause38,negated_conjecture,
( hskp4
| hskp21
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause100,negated_conjecture,
( ~ c3_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause99,negated_conjecture,
( ~ c1_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause98,negated_conjecture,
( ~ c0_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause64,negated_conjecture,
( c3_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause63,negated_conjecture,
( c0_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause67,negated_conjecture,
( c3_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause108,negated_conjecture,
( ~ c3_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause75,negated_conjecture,
( c3_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause74,negated_conjecture,
( c0_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause120,negated_conjecture,
( ~ c2_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause123,negated_conjecture,
( ~ c3_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause121,negated_conjecture,
( ~ c1_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause122,negated_conjecture,
( ~ c2_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause43,negated_conjecture,
( c0_1(a1033)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause44,negated_conjecture,
( c1_1(a1033)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause45,negated_conjecture,
( c2_1(a1033)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause113,negated_conjecture,
( ~ c1_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause82,negated_conjecture,
( c3_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause81,negated_conjecture,
( c2_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause128,negated_conjecture,
( ~ c1_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(clause112,negated_conjecture,
( ~ c0_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause66,negated_conjecture,
( c2_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause88,negated_conjecture,
( ~ c3_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause79,negated_conjecture,
( c0_1(a1002)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause80,negated_conjecture,
( c2_1(a1002)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause127,negated_conjecture,
( ~ c1_1(a1002)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause143,negated_conjecture,
( c2_1(X1)
| hskp23
| hskp3
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
cnf(clause192,negated_conjecture,
( c2_1(X2)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause191,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause190,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause189,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause186,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(clause185,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause184,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(clause183,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause182,negated_conjecture,
( c3_1(X2)
| hskp17
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
cnf(clause174,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause179,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| hskp6
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause176,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| hskp8
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(clause177,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(clause178,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(clause165,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
cnf(clause164,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(clause167,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause166,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
cnf(clause168,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| hskp13
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause173,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause154,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
cnf(clause159,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp7
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
cnf(clause158,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp8
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(clause161,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
cnf(clause162,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp17
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause110,negated_conjecture,
( ~ c2_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause109,negated_conjecture,
( ~ c1_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause107,negated_conjecture,
( ~ c2_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause39,negated_conjecture,
( hskp24
| hskp25
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause32,negated_conjecture,
( hskp29
| hskp12
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
cnf(c_0_111,negated_conjecture,
( ndr1_0
| ~ hskp29 ),
clause1 ).
cnf(c_0_112,negated_conjecture,
( hskp29
| hskp3
| hskp26 ),
clause33 ).
cnf(c_0_113,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
clause4 ).
cnf(c_0_114,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
clause27 ).
cnf(c_0_115,negated_conjecture,
( hskp7
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause147 ).
cnf(c_0_116,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),c_0_114]) ).
fof(c_0_117,plain,
( ~ epred30_0
<=> ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_118,negated_conjecture,
( hskp7
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]) ).
cnf(c_0_119,negated_conjecture,
( epred30_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_117]) ).
fof(c_0_120,plain,
( ~ epred14_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_121,plain,
( ~ epred58_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_122,plain,
( ~ epred16_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_123,plain,
( ~ epred23_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_124,plain,
( ~ epred38_0
<=> ! [X1] :
( hskp15
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_125,negated_conjecture,
( c1_1(X1)
| hskp23
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause138 ).
fof(c_0_126,plain,
( ~ epred13_0
<=> ! [X2] :
( hskp8
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_127,plain,
( ~ epred60_0
<=> ! [X1] :
( c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred28_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_129,plain,
( ~ epred54_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_130,negated_conjecture,
( epred30_0
| hskp7
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_131,negated_conjecture,
( c2_1(a1041)
| ~ hskp21 ),
clause56 ).
cnf(c_0_132,negated_conjecture,
( ~ c3_1(a1041)
| ~ hskp21 ),
clause94 ).
cnf(c_0_133,negated_conjecture,
( epred14_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_120]) ).
cnf(c_0_134,negated_conjecture,
( ~ c3_1(a1008)
| ~ hskp7 ),
clause119 ).
cnf(c_0_135,negated_conjecture,
( c2_1(a1008)
| ~ hskp7 ),
clause73 ).
cnf(c_0_136,negated_conjecture,
( ~ c1_1(a1008)
| ~ hskp7 ),
clause118 ).
fof(c_0_137,plain,
( ~ epred37_0
<=> ! [X2] :
( hskp0
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_138,plain,
( ~ epred33_0
<=> ! [X2] :
( hskp11
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_139,plain,
( ~ epred31_0
<=> ! [X2] :
( hskp11
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_140,plain,
( ~ epred29_0
<=> ! [X1] :
( hskp13
| c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_141,plain,
( ~ epred22_0
<=> ! [X1] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_142,plain,
( ~ epred15_0
<=> ! [X1] :
( hskp7
| c1_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_143,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_144,negated_conjecture,
( epred58_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_121]) ).
cnf(c_0_145,negated_conjecture,
( epred16_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_122]) ).
fof(c_0_146,plain,
( ~ epred53_0
<=> ! [X3] :
( c0_1(X3)
| c1_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_147,plain,
( ~ epred51_0
<=> ! [X3] :
( c0_1(X3)
| c1_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_148,plain,
( ~ epred32_0
<=> ! [X1] :
( c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_149,plain,
( ~ epred49_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_150,negated_conjecture,
( hskp24
| hskp3
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause149 ).
fof(c_0_151,plain,
( ~ epred56_0
<=> ! [X1] :
( c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_152,plain,
( ~ epred40_0
<=> ! [X1] :
( hskp8
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_153,negated_conjecture,
( ~ c0_1(a1026)
| ~ hskp15 ),
clause105 ).
cnf(c_0_154,negated_conjecture,
( epred23_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_123]) ).
cnf(c_0_155,negated_conjecture,
( c2_1(a1026)
| ~ hskp15 ),
clause62 ).
cnf(c_0_156,negated_conjecture,
( ~ c1_1(a1026)
| ~ hskp15 ),
clause106 ).
cnf(c_0_157,negated_conjecture,
( epred38_0
| c1_1(X1)
| hskp15
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_124]),c_0_116])]) ).
cnf(c_0_158,negated_conjecture,
( c3_1(a1010)
| ~ hskp8 ),
clause72 ).
cnf(c_0_159,negated_conjecture,
( c0_1(a1010)
| ~ hskp8 ),
clause71 ).
cnf(c_0_160,negated_conjecture,
( ~ c1_1(a1010)
| ~ hskp8 ),
clause117 ).
cnf(c_0_161,negated_conjecture,
( c0_1(a1000)
| ~ hskp0 ),
clause83 ).
cnf(c_0_162,negated_conjecture,
( c2_1(a1000)
| ~ hskp0 ),
clause84 ).
cnf(c_0_163,negated_conjecture,
( ~ c3_1(a1000)
| ~ hskp0 ),
clause129 ).
fof(c_0_164,plain,
( ~ epred36_0
<=> ! [X1] :
( hskp4
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_165,plain,
( ~ epred27_0
<=> ! [X2] :
( hskp15
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_166,plain,
( ~ epred11_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_167,negated_conjecture,
( c1_1(X1)
| hskp23
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_116])]) ).
cnf(c_0_168,negated_conjecture,
( epred13_0
| c2_1(X1)
| c0_1(X1)
| hskp8
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_126]),c_0_116])]) ).
cnf(c_0_169,negated_conjecture,
( c1_1(a1003)
| ~ hskp3 ),
clause78 ).
cnf(c_0_170,negated_conjecture,
( ~ c0_1(a1003)
| ~ hskp3 ),
clause125 ).
cnf(c_0_171,negated_conjecture,
( ~ c2_1(a1003)
| ~ hskp3 ),
clause126 ).
fof(c_0_172,plain,
( ~ epred25_0
<=> ! [X2] :
( c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_173,plain,
( ~ epred12_0
<=> ! [X1] :
( hskp12
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_174,plain,
( ~ epred8_0
<=> ! [X1] :
( c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_175,plain,
( ~ epred61_0
<=> ! [X3] :
( c1_1(X3)
| ~ c3_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( epred60_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
cnf(c_0_177,negated_conjecture,
( ~ c3_1(a1004)
| ~ hskp4 ),
clause124 ).
cnf(c_0_178,negated_conjecture,
( epred28_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_128]) ).
cnf(c_0_179,negated_conjecture,
( c2_1(a1004)
| ~ hskp4 ),
clause77 ).
cnf(c_0_180,negated_conjecture,
( epred54_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_129]) ).
cnf(c_0_181,negated_conjecture,
( ~ c0_1(a1041)
| ~ hskp21 ),
clause93 ).
cnf(c_0_182,negated_conjecture,
( epred30_0
| hskp7
| ~ c1_1(a1041)
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_183,negated_conjecture,
( epred14_0
| c1_1(a1041)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_131]) ).
cnf(c_0_184,negated_conjecture,
( epred14_0
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_133]),c_0_135]),c_0_136]) ).
fof(c_0_185,plain,
( ~ epred50_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_186,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp2
| hskp1
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause134 ).
cnf(c_0_187,negated_conjecture,
( epred37_0
| c2_1(X1)
| c0_1(X1)
| hskp0
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_137]),c_0_116])]) ).
cnf(c_0_188,negated_conjecture,
( c1_1(a1048)
| ~ hskp25 ),
clause50 ).
cnf(c_0_189,negated_conjecture,
( ~ c0_1(a1048)
| ~ hskp25 ),
clause87 ).
fof(c_0_190,plain,
( ~ epred62_0
<=> ! [X2] :
( c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_191,negated_conjecture,
( epred33_0
| c3_1(X1)
| c0_1(X1)
| hskp11
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_116])]) ).
fof(c_0_192,plain,
( ~ epred44_0
<=> ! [X2] :
( hskp5
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_193,negated_conjecture,
( epred31_0
| c3_1(X1)
| c0_1(X1)
| hskp11
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_116])]) ).
cnf(c_0_194,negated_conjecture,
( c1_1(a1019)
| ~ hskp12 ),
clause65 ).
cnf(c_0_195,negated_conjecture,
( ~ c0_1(a1019)
| ~ hskp12 ),
clause111 ).
cnf(c_0_196,negated_conjecture,
( epred29_0
| c2_1(X1)
| c1_1(X1)
| hskp13
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_116])]) ).
cnf(c_0_197,negated_conjecture,
( c3_1(a1052)
| ~ hskp26 ),
clause49 ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a1052)
| ~ hskp26 ),
clause86 ).
fof(c_0_199,plain,
( ~ epred46_0
<=> ! [X2] :
( hskp17
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_200,negated_conjecture,
( epred22_0
| c2_1(X1)
| c3_1(X1)
| hskp3
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_116])]) ).
cnf(c_0_201,negated_conjecture,
( c1_1(a1044)
| ~ hskp23 ),
clause54 ).
cnf(c_0_202,negated_conjecture,
( ~ c3_1(a1044)
| ~ hskp23 ),
clause90 ).
cnf(c_0_203,negated_conjecture,
( epred15_0
| c3_1(X1)
| c1_1(X1)
| hskp7
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_142]),c_0_116])]) ).
cnf(c_0_204,negated_conjecture,
( epred45_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_143]) ).
cnf(c_0_205,negated_conjecture,
( epred58_0
| epred16_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_206,negated_conjecture,
( epred53_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_146]) ).
cnf(c_0_207,negated_conjecture,
( ~ c0_1(a1052)
| ~ hskp26 ),
clause85 ).
cnf(c_0_208,negated_conjecture,
( epred51_0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_147]) ).
cnf(c_0_209,negated_conjecture,
( epred32_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_148]) ).
cnf(c_0_210,negated_conjecture,
( epred49_0
| c2_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_149]) ).
cnf(c_0_211,negated_conjecture,
( hskp3
| hskp24
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_116])]) ).
cnf(c_0_212,negated_conjecture,
( epred56_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_151]),c_0_116])]) ).
cnf(c_0_213,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp28
| hskp8
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause135 ).
cnf(c_0_214,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp25
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause139 ).
cnf(c_0_215,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp8
| hskp7
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause132 ).
cnf(c_0_216,negated_conjecture,
( c2_1(X1)
| hskp8
| hskp26
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause141 ).
cnf(c_0_217,negated_conjecture,
( c1_1(X1)
| hskp24
| hskp15
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause140 ).
fof(c_0_218,plain,
( ~ epred59_0
<=> ! [X2] :
( c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_219,plain,
( ~ epred55_0
<=> ! [X1] :
( c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_220,plain,
( ~ epred52_0
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_221,negated_conjecture,
( epred40_0
| c1_1(X1)
| hskp8
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_152]),c_0_116])]) ).
fof(c_0_222,plain,
( ~ epred43_0
<=> ! [X1] :
( hskp6
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_223,negated_conjecture,
( epred23_0
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]),c_0_156]) ).
cnf(c_0_224,negated_conjecture,
( epred38_0
| hskp15
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_160]) ).
cnf(c_0_225,negated_conjecture,
( hskp7
| ~ c1_1(a1000)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_161]),c_0_162]) ).
cnf(c_0_226,negated_conjecture,
( epred14_0
| c1_1(a1000)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_133]),c_0_162]) ).
cnf(c_0_227,negated_conjecture,
( c3_1(a1040)
| ~ hskp29 ),
clause42 ).
cnf(c_0_228,negated_conjecture,
( c1_1(a1040)
| ~ hskp29 ),
clause41 ).
cnf(c_0_229,negated_conjecture,
( epred36_0
| c2_1(X1)
| hskp4
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_164]),c_0_116])]) ).
cnf(c_0_230,negated_conjecture,
( c0_1(a1040)
| ~ hskp29 ),
clause40 ).
cnf(c_0_231,negated_conjecture,
( c0_1(a1044)
| ~ hskp23 ),
clause53 ).
cnf(c_0_232,negated_conjecture,
( epred27_0
| c2_1(X1)
| c3_1(X1)
| hskp15
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_116])]) ).
cnf(c_0_233,negated_conjecture,
( c3_1(a1045)
| ~ hskp24 ),
clause52 ).
cnf(c_0_234,negated_conjecture,
( c1_1(a1045)
| ~ hskp24 ),
clause51 ).
cnf(c_0_235,negated_conjecture,
( ~ c0_1(a1045)
| ~ hskp24 ),
clause89 ).
cnf(c_0_236,negated_conjecture,
( epred11_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_166]) ).
cnf(c_0_237,negated_conjecture,
( hskp23
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_158]),c_0_159]),c_0_160]) ).
cnf(c_0_238,negated_conjecture,
( epred13_0
| hskp8
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_171]) ).
cnf(c_0_239,negated_conjecture,
( epred25_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_240,negated_conjecture,
( epred12_0
| c2_1(X1)
| hskp12
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_173]),c_0_116])]) ).
cnf(c_0_241,negated_conjecture,
( epred8_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_174]) ).
fof(c_0_242,plain,
( ~ epred10_0
<=> ! [X2] :
( hskp17
| c1_1(X2)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_243,negated_conjecture,
( c3_1(a1032)
| ~ hskp17 ),
clause60 ).
cnf(c_0_244,negated_conjecture,
( c2_1(a1032)
| ~ hskp17 ),
clause59 ).
cnf(c_0_245,negated_conjecture,
( epred61_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_175]) ).
cnf(c_0_246,negated_conjecture,
( ~ c0_1(a1032)
| ~ hskp17 ),
clause102 ).
cnf(c_0_247,negated_conjecture,
( epred60_0
| ~ c1_1(a1041)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_176]),c_0_131]) ).
cnf(c_0_248,negated_conjecture,
( c1_1(a1004)
| ~ hskp4 ),
clause76 ).
cnf(c_0_249,negated_conjecture,
( epred28_0
| ~ c0_1(a1004)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).
cnf(c_0_250,negated_conjecture,
( epred54_0
| c0_1(a1004)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_180]),c_0_179]) ).
cnf(c_0_251,negated_conjecture,
( epred54_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_180]),c_0_131]),c_0_181]) ).
cnf(c_0_252,negated_conjecture,
( hskp4
| hskp21
| hskp7 ),
clause38 ).
cnf(c_0_253,negated_conjecture,
( epred28_0
| ~ c0_1(a1008)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_178]),c_0_135]) ).
cnf(c_0_254,negated_conjecture,
( epred54_0
| c0_1(a1008)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_180]),c_0_135]) ).
cnf(c_0_255,negated_conjecture,
( ~ c3_1(a1037)
| ~ hskp19 ),
clause100 ).
cnf(c_0_256,negated_conjecture,
( ~ c1_1(a1037)
| ~ hskp19 ),
clause99 ).
cnf(c_0_257,negated_conjecture,
( ~ c0_1(a1037)
| ~ hskp19 ),
clause98 ).
cnf(c_0_258,negated_conjecture,
( epred30_0
| epred14_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
fof(c_0_259,plain,
( ~ epred4_0
<=> ! [X2] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_260,negated_conjecture,
( epred50_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_185]),c_0_116])]) ).
cnf(c_0_261,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp1
| hskp2
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_116])]) ).
cnf(c_0_262,negated_conjecture,
( epred37_0
| c2_1(a1048)
| hskp0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).
cnf(c_0_263,negated_conjecture,
( epred62_0
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_190]),c_0_116])]) ).
cnf(c_0_264,negated_conjecture,
( epred33_0
| c3_1(a1026)
| hskp11
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_155]),c_0_153]) ).
cnf(c_0_265,negated_conjecture,
( epred44_0
| c1_1(X1)
| c0_1(X1)
| hskp5
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_192]),c_0_116])]) ).
cnf(c_0_266,negated_conjecture,
( epred31_0
| c3_1(a1019)
| hskp11
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).
cnf(c_0_267,negated_conjecture,
( epred29_0
| c1_1(a1052)
| hskp13
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).
cnf(c_0_268,negated_conjecture,
( epred46_0
| c3_1(X1)
| hskp17
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_116])]) ).
cnf(c_0_269,negated_conjecture,
( epred22_0
| c2_1(a1044)
| hskp3
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).
cnf(c_0_270,negated_conjecture,
( epred15_0
| c3_1(a1026)
| hskp7
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_155]),c_0_156]) ).
cnf(c_0_271,negated_conjecture,
( epred58_0
| epred45_0
| epred16_0
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_205]) ).
cnf(c_0_272,negated_conjecture,
( epred53_0
| c1_1(a1052)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_197]),c_0_207]) ).
cnf(c_0_273,negated_conjecture,
( epred51_0
| c1_1(a1052)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_198]) ).
cnf(c_0_274,negated_conjecture,
( epred49_0
| epred32_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_275,negated_conjecture,
( epred56_0
| hskp3
| hskp24
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_276,negated_conjecture,
( c2_1(X1)
| c1_1(X1)
| hskp8
| hskp28
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_116])]) ).
cnf(c_0_277,negated_conjecture,
( c3_1(a1023)
| ~ hskp13 ),
clause64 ).
cnf(c_0_278,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp3
| hskp25
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_116])]) ).
cnf(c_0_279,negated_conjecture,
( c0_1(a1025)
| ~ hskp14 ),
clause63 ).
cnf(c_0_280,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp7
| hskp8
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_116])]) ).
cnf(c_0_281,negated_conjecture,
( c2_1(X1)
| hskp8
| hskp26
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_116])]) ).
cnf(c_0_282,negated_conjecture,
( c1_1(X1)
| hskp15
| hskp24
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_116])]) ).
cnf(c_0_283,negated_conjecture,
( c3_1(a1015)
| ~ hskp11 ),
clause67 ).
cnf(c_0_284,negated_conjecture,
( epred59_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_218]),c_0_116])]) ).
cnf(c_0_285,negated_conjecture,
( epred55_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_219]),c_0_116])]) ).
cnf(c_0_286,negated_conjecture,
( epred52_0
| c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_220]),c_0_116])]) ).
cnf(c_0_287,negated_conjecture,
( ~ c3_1(a1025)
| ~ hskp14 ),
clause108 ).
cnf(c_0_288,negated_conjecture,
( epred40_0
| epred14_0
| c1_1(X1)
| hskp8
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_221,c_0_133]) ).
cnf(c_0_289,negated_conjecture,
( epred43_0
| c1_1(X1)
| hskp6
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_222]),c_0_116])]) ).
cnf(c_0_290,negated_conjecture,
( epred38_0
| epred23_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_291,negated_conjecture,
( epred14_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_184]) ).
cnf(c_0_292,negated_conjecture,
( epred37_0
| hskp0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_169]),c_0_170]),c_0_171]) ).
cnf(c_0_293,negated_conjecture,
( epred58_0
| ~ c2_1(a1040)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_227]),c_0_228]) ).
cnf(c_0_294,negated_conjecture,
( epred36_0
| c2_1(a1040)
| hskp4
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_227]),c_0_230]) ).
cnf(c_0_295,negated_conjecture,
( hskp7
| ~ c2_1(a1044)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_231]),c_0_201]) ).
cnf(c_0_296,negated_conjecture,
( epred27_0
| c2_1(a1044)
| hskp15
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_201]),c_0_202]) ).
cnf(c_0_297,negated_conjecture,
( epred58_0
| ~ c2_1(a1045)
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_233]),c_0_234]) ).
cnf(c_0_298,negated_conjecture,
( epred13_0
| c2_1(a1045)
| hskp8
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_234]),c_0_235]) ).
cnf(c_0_299,negated_conjecture,
( epred11_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_236]),c_0_231]),c_0_201]) ).
cnf(c_0_300,negated_conjecture,
( epred13_0
| hskp23
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_301,negated_conjecture,
( epred25_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_158]),c_0_159]),c_0_160]) ).
cnf(c_0_302,negated_conjecture,
( epred12_0
| c2_1(a1040)
| hskp12
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_227]),c_0_230]) ).
cnf(c_0_303,negated_conjecture,
( epred8_0
| ~ c2_1(a1010)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_159]),c_0_160]) ).
cnf(c_0_304,negated_conjecture,
( epred12_0
| c2_1(a1010)
| hskp12
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_158]),c_0_159]) ).
cnf(c_0_305,negated_conjecture,
( c3_1(a1006)
| ~ hskp6 ),
clause75 ).
cnf(c_0_306,negated_conjecture,
( c0_1(a1006)
| ~ hskp6 ),
clause74 ).
cnf(c_0_307,negated_conjecture,
( ~ c2_1(a1006)
| ~ hskp6 ),
clause120 ).
cnf(c_0_308,negated_conjecture,
( ~ c3_1(a1005)
| ~ hskp5 ),
clause123 ).
cnf(c_0_309,negated_conjecture,
( epred10_0
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp17 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_242]),c_0_116])]) ).
cnf(c_0_310,negated_conjecture,
( ~ c1_1(a1005)
| ~ hskp5 ),
clause121 ).
cnf(c_0_311,negated_conjecture,
( ~ c2_1(a1005)
| ~ hskp5 ),
clause122 ).
cnf(c_0_312,negated_conjecture,
( c0_1(a1033)
| ~ hskp28 ),
clause43 ).
cnf(c_0_313,negated_conjecture,
( c1_1(a1033)
| ~ hskp28 ),
clause44 ).
cnf(c_0_314,negated_conjecture,
( c2_1(a1033)
| ~ hskp28 ),
clause45 ).
cnf(c_0_315,negated_conjecture,
( epred58_0
| ~ c1_1(a1032)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_243]),c_0_244]) ).
cnf(c_0_316,negated_conjecture,
( epred61_0
| c1_1(a1032)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_243]),c_0_244]) ).
cnf(c_0_317,negated_conjecture,
( epred32_0
| ~ c1_1(a1032)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_243]),c_0_246]) ).
cnf(c_0_318,negated_conjecture,
( ~ c1_1(a1015)
| ~ hskp11 ),
clause113 ).
cnf(c_0_319,negated_conjecture,
( c3_1(a1001)
| ~ hskp1 ),
clause82 ).
cnf(c_0_320,negated_conjecture,
( c2_1(a1001)
| ~ hskp1 ),
clause81 ).
cnf(c_0_321,negated_conjecture,
( ~ c1_1(a1001)
| ~ hskp1 ),
clause128 ).
cnf(c_0_322,negated_conjecture,
( epred60_0
| epred14_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_247,c_0_183]) ).
cnf(c_0_323,negated_conjecture,
( epred60_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_176]),c_0_248]),c_0_179]) ).
cnf(c_0_324,negated_conjecture,
( epred53_0
| c1_1(a1032)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_243]),c_0_246]) ).
cnf(c_0_325,negated_conjecture,
( epred54_0
| epred28_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_326,negated_conjecture,
( epred54_0
| hskp4
| hskp7 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_327,negated_conjecture,
( epred54_0
| epred28_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_328,negated_conjecture,
( epred32_0
| ~ c1_1(a1052)
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_197]),c_0_207]) ).
cnf(c_0_329,negated_conjecture,
( ~ c0_1(a1015)
| ~ hskp11 ),
clause112 ).
cnf(c_0_330,negated_conjecture,
( epred14_0
| ~ c2_1(a1037)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_133]),c_0_256]) ).
cnf(c_0_331,negated_conjecture,
( epred51_0
| c2_1(a1037)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_208]),c_0_256]) ).
cnf(c_0_332,negated_conjecture,
( c2_1(a1019)
| ~ hskp12 ),
clause66 ).
cnf(c_0_333,negated_conjecture,
( ~ c3_1(a1048)
| ~ hskp25 ),
clause88 ).
cnf(c_0_334,negated_conjecture,
( epred30_0
| hskp7
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_179]),c_0_248]) ).
cnf(c_0_335,negated_conjecture,
( epred30_0
| epred14_0
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_252]),c_0_184]) ).
cnf(c_0_336,negated_conjecture,
( c0_1(a1002)
| ~ hskp2 ),
clause79 ).
cnf(c_0_337,negated_conjecture,
( c2_1(a1002)
| ~ hskp2 ),
clause80 ).
cnf(c_0_338,negated_conjecture,
( ~ c1_1(a1002)
| ~ hskp2 ),
clause127 ).
cnf(c_0_339,negated_conjecture,
( epred4_0
| c2_1(X1)
| c3_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_259]) ).
cnf(c_0_340,negated_conjecture,
( c2_1(X1)
| hskp23
| hskp3
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause143 ).
cnf(c_0_341,negated_conjecture,
( epred50_0
| epred49_0
| c2_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_260,c_0_210]) ).
fof(c_0_342,plain,
( ~ epred39_0
<=> ! [X1] :
( hskp14
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_343,negated_conjecture,
( epred32_0
| epred16_0
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_145]) ).
cnf(c_0_344,negated_conjecture,
( c2_1(X2)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X3)
| ~ c3_1(X3) ),
clause192 ).
cnf(c_0_345,negated_conjecture,
( c0_1(X2)
| c0_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3)
| ~ c3_1(X3) ),
clause191 ).
cnf(c_0_346,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3)
| ~ c3_1(X3) ),
clause190 ).
cnf(c_0_347,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
clause189 ).
cnf(c_0_348,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X3) ),
clause186 ).
cnf(c_0_349,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause185 ).
cnf(c_0_350,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause184 ).
cnf(c_0_351,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause183 ).
cnf(c_0_352,negated_conjecture,
( c3_1(X2)
| hskp17
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause182 ).
cnf(c_0_353,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause174 ).
cnf(c_0_354,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| hskp6
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause179 ).
cnf(c_0_355,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| hskp8
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause176 ).
cnf(c_0_356,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause177 ).
cnf(c_0_357,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause178 ).
cnf(c_0_358,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause165 ).
cnf(c_0_359,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause164 ).
cnf(c_0_360,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause167 ).
cnf(c_0_361,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause166 ).
cnf(c_0_362,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| hskp13
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause168 ).
cnf(c_0_363,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause173 ).
cnf(c_0_364,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause154 ).
cnf(c_0_365,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp7
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause159 ).
cnf(c_0_366,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp8
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause158 ).
cnf(c_0_367,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp12
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause161 ).
cnf(c_0_368,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp17
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause162 ).
cnf(c_0_369,negated_conjecture,
( c3_1(a1048)
| c0_1(a1048)
| hskp1
| hskp2
| epred37_0
| hskp0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_370,negated_conjecture,
( epred62_0
| c0_1(a1026)
| epred33_0
| hskp11
| ~ c2_1(a1026)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_371,negated_conjecture,
( epred61_0
| c1_1(a1026)
| epred33_0
| hskp11
| ~ c2_1(a1026)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_245,c_0_264]) ).
cnf(c_0_372,negated_conjecture,
( epred53_0
| c1_1(a1026)
| c0_1(a1026)
| epred33_0
| hskp11
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_206,c_0_264]) ).
cnf(c_0_373,negated_conjecture,
( epred44_0
| c1_1(a1026)
| c0_1(a1026)
| hskp5
| epred33_0
| hskp11
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_265,c_0_264]) ).
cnf(c_0_374,negated_conjecture,
( epred62_0
| c0_1(a1019)
| epred31_0
| hskp11
| ~ c2_1(a1019)
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_263,c_0_266]) ).
cnf(c_0_375,negated_conjecture,
( epred37_0
| c2_1(a1052)
| c0_1(a1052)
| hskp0
| epred29_0
| hskp13
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_187,c_0_267]) ).
cnf(c_0_376,negated_conjecture,
( epred46_0
| c3_1(a1044)
| hskp17
| epred22_0
| hskp3
| ~ c0_1(a1044)
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_377,negated_conjecture,
( epred62_0
| c0_1(a1026)
| epred15_0
| hskp7
| ~ c2_1(a1026)
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_263,c_0_270]) ).
cnf(c_0_378,negated_conjecture,
( epred58_0
| epred45_0
| epred16_0
| ~ c1_1(a1004)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_271,c_0_179]) ).
cnf(c_0_379,negated_conjecture,
( epred58_0
| epred16_0
| ~ hskp24
| ~ c2_1(a1045)
| ~ c1_1(a1045) ),
inference(spm,[status(thm)],[c_0_235,c_0_205]) ).
cnf(c_0_380,negated_conjecture,
( epred58_0
| epred16_0
| ~ hskp12
| ~ c2_1(a1019)
| ~ c1_1(a1019) ),
inference(spm,[status(thm)],[c_0_195,c_0_205]) ).
cnf(c_0_381,negated_conjecture,
( epred13_0
| c2_1(a1052)
| c0_1(a1052)
| hskp8
| epred53_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_168,c_0_272]) ).
cnf(c_0_382,negated_conjecture,
( epred37_0
| c2_1(a1052)
| c0_1(a1052)
| hskp0
| epred51_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_187,c_0_273]) ).
cnf(c_0_383,negated_conjecture,
( epred13_0
| c2_1(a1052)
| c0_1(a1052)
| hskp8
| epred51_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_168,c_0_273]) ).
cnf(c_0_384,negated_conjecture,
( epred49_0
| epred32_0
| c2_1(a1003)
| ~ hskp3
| ~ c1_1(a1003) ),
inference(spm,[status(thm)],[c_0_170,c_0_274]) ).
cnf(c_0_385,negated_conjecture,
( epred56_0
| hskp3
| hskp24
| ~ c2_1(a1040)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_275,c_0_230]) ).
cnf(c_0_386,negated_conjecture,
( c2_1(a1023)
| c1_1(a1023)
| hskp8
| hskp28
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_276,c_0_277]) ).
cnf(c_0_387,negated_conjecture,
( c2_1(a1044)
| c3_1(a1044)
| hskp3
| hskp25
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_278,c_0_231]) ).
cnf(c_0_388,negated_conjecture,
( c2_1(a1025)
| c3_1(a1025)
| hskp3
| hskp25
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_389,negated_conjecture,
( c2_1(a1045)
| c0_1(a1045)
| hskp7
| hskp8
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_280,c_0_234]) ).
cnf(c_0_390,negated_conjecture,
( c2_1(a1040)
| hskp8
| hskp26
| ~ c1_1(a1040)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_281,c_0_230]) ).
cnf(c_0_391,negated_conjecture,
( c1_1(a1010)
| hskp15
| hskp24
| ~ c0_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_282,c_0_158]) ).
cnf(c_0_392,negated_conjecture,
( hskp3
| hskp24
| ~ c2_1(a1040)
| ~ c0_1(a1040)
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_211,c_0_227]) ).
cnf(c_0_393,negated_conjecture,
( hskp3
| hskp24
| ~ c2_1(a1010)
| ~ c0_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_211,c_0_158]) ).
cnf(c_0_394,negated_conjecture,
( epred62_0
| c0_1(a1045)
| ~ c2_1(a1045)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_263,c_0_233]) ).
cnf(c_0_395,negated_conjecture,
( epred62_0
| c0_1(a1032)
| ~ c2_1(a1032)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_263,c_0_243]) ).
cnf(c_0_396,negated_conjecture,
( epred62_0
| c0_1(a1015)
| ~ c2_1(a1015)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_263,c_0_283]) ).
cnf(c_0_397,negated_conjecture,
( epred59_0
| c2_1(a1010)
| ~ c0_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_284,c_0_158]) ).
cnf(c_0_398,negated_conjecture,
( epred58_0
| epred56_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_212]) ).
cnf(c_0_399,negated_conjecture,
( epred56_0
| ~ hskp23
| ~ c2_1(a1044)
| ~ c0_1(a1044) ),
inference(spm,[status(thm)],[c_0_202,c_0_212]) ).
cnf(c_0_400,negated_conjecture,
( epred56_0
| ~ hskp0
| ~ c2_1(a1000)
| ~ c0_1(a1000) ),
inference(spm,[status(thm)],[c_0_163,c_0_212]) ).
cnf(c_0_401,negated_conjecture,
( epred55_0
| c2_1(a1044)
| ~ c1_1(a1044)
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_285,c_0_231]) ).
cnf(c_0_402,negated_conjecture,
( epred52_0
| c2_1(a1044)
| ~ hskp23
| ~ c0_1(a1044) ),
inference(spm,[status(thm)],[c_0_202,c_0_286]) ).
cnf(c_0_403,negated_conjecture,
( epred52_0
| c2_1(a1025)
| ~ hskp14
| ~ c0_1(a1025) ),
inference(spm,[status(thm)],[c_0_287,c_0_286]) ).
cnf(c_0_404,negated_conjecture,
( epred50_0
| c2_1(a1052)
| c0_1(a1052)
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_260,c_0_197]) ).
cnf(c_0_405,negated_conjecture,
( epred50_0
| c2_1(a1045)
| c0_1(a1045)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_260,c_0_233]) ).
cnf(c_0_406,negated_conjecture,
( epred50_0
| c2_1(a1015)
| c0_1(a1015)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_260,c_0_283]) ).
cnf(c_0_407,negated_conjecture,
( epred40_0
| epred14_0
| c1_1(a1026)
| hskp8
| ~ hskp15 ),
inference(spm,[status(thm)],[c_0_288,c_0_155]) ).
cnf(c_0_408,negated_conjecture,
( epred44_0
| c1_1(a1015)
| c0_1(a1015)
| hskp5
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_265,c_0_283]) ).
cnf(c_0_409,negated_conjecture,
( epred43_0
| c1_1(a1010)
| hskp6
| ~ c2_1(a1010)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_289,c_0_158]) ).
cnf(c_0_410,negated_conjecture,
( epred38_0
| epred23_0
| epred13_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_290,c_0_238]) ).
cnf(c_0_411,negated_conjecture,
( epred37_0
| epred14_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_412,negated_conjecture,
( epred58_0
| epred36_0
| hskp4
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
cnf(c_0_413,negated_conjecture,
( epred27_0
| hskp7
| hskp15
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_295,c_0_296]) ).
cnf(c_0_414,negated_conjecture,
( epred22_0
| hskp3
| hskp7
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_295,c_0_269]) ).
cnf(c_0_415,negated_conjecture,
( epred58_0
| epred13_0
| hskp8
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_416,negated_conjecture,
( epred13_0
| epred11_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_417,negated_conjecture,
( epred25_0
| epred13_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_301,c_0_238]) ).
cnf(c_0_418,negated_conjecture,
( epred58_0
| epred12_0
| hskp12
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_293,c_0_302]) ).
cnf(c_0_419,negated_conjecture,
( epred12_0
| epred8_0
| hskp12
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_420,negated_conjecture,
( epred12_0
| hskp12
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_305]),c_0_306]),c_0_307]) ).
cnf(c_0_421,negated_conjecture,
( epred10_0
| hskp17
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310]),c_0_311]) ).
cnf(c_0_422,negated_conjecture,
( hskp7
| ~ c2_1(a1040)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_230]),c_0_228]) ).
cnf(c_0_423,negated_conjecture,
( hskp7
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_312]),c_0_313]),c_0_314]) ).
cnf(c_0_424,negated_conjecture,
( epred61_0
| epred58_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_315,c_0_316]) ).
cnf(c_0_425,negated_conjecture,
( epred61_0
| epred32_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_317,c_0_316]) ).
cnf(c_0_426,negated_conjecture,
( epred61_0
| ~ c2_1(a1015)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_283]),c_0_318]) ).
cnf(c_0_427,negated_conjecture,
( epred61_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_319]),c_0_320]),c_0_321]) ).
cnf(c_0_428,negated_conjecture,
( epred60_0
| ~ c2_1(a1044)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_176]),c_0_201]) ).
cnf(c_0_429,negated_conjecture,
( epred60_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_252]),c_0_184]),c_0_323]) ).
cnf(c_0_430,negated_conjecture,
( epred58_0
| epred53_0
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_315,c_0_324]) ).
cnf(c_0_431,negated_conjecture,
( epred54_0
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).
cnf(c_0_432,negated_conjecture,
( epred53_0
| epred32_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_328,c_0_272]) ).
cnf(c_0_433,negated_conjecture,
( epred53_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_283]),c_0_329]),c_0_318]) ).
cnf(c_0_434,negated_conjecture,
( epred51_0
| epred14_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_330,c_0_331]) ).
cnf(c_0_435,negated_conjecture,
( epred45_0
| ~ c2_1(a1044)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_231]),c_0_201]) ).
cnf(c_0_436,negated_conjecture,
( epred32_0
| ~ hskp24 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_233]),c_0_234]),c_0_235]) ).
cnf(c_0_437,negated_conjecture,
( epred30_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_119]),c_0_194]),c_0_332]) ).
cnf(c_0_438,negated_conjecture,
( epred16_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_145]),c_0_188]),c_0_189]) ).
cnf(c_0_439,negated_conjecture,
( epred30_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_184]) ).
cnf(c_0_440,negated_conjecture,
( epred8_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_336]),c_0_337]),c_0_338]) ).
cnf(c_0_441,negated_conjecture,
( epred4_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_339]),c_0_310]),c_0_311]) ).
cnf(c_0_442,negated_conjecture,
( c2_1(X1)
| hskp3
| hskp23
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_116])]) ).
cnf(c_0_443,negated_conjecture,
( epred50_0
| epred49_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_341]),c_0_171]) ).
cnf(c_0_444,negated_conjecture,
( epred39_0
| c2_1(X1)
| hskp14
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_342]),c_0_116])]) ).
cnf(c_0_445,negated_conjecture,
( epred32_0
| epred16_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_343]),c_0_194]) ).
cnf(c_0_446,negated_conjecture,
( epred32_0
| epred16_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_343]),c_0_169]) ).
cnf(c_0_447,negated_conjecture,
( ~ epred58_0
| ~ epred55_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_344,c_0_219]),c_0_172]),c_0_121]) ).
cnf(c_0_448,negated_conjecture,
( ~ epred62_0
| ~ epred58_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_345,c_0_190]),c_0_148]),c_0_121]) ).
cnf(c_0_449,negated_conjecture,
( ~ epred61_0
| ~ epred60_0
| ~ epred59_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_346,c_0_218]),c_0_127]),c_0_175]) ).
cnf(c_0_450,negated_conjecture,
( ~ epred56_0
| ~ epred25_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_347,c_0_151]),c_0_122]),c_0_172]) ).
cnf(c_0_451,negated_conjecture,
( ~ epred54_0
| ~ epred52_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_348,c_0_220]),c_0_129]),c_0_174]) ).
cnf(c_0_452,negated_conjecture,
( ~ epred53_0
| ~ epred50_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_349,c_0_185]),c_0_120]),c_0_146]) ).
cnf(c_0_453,negated_conjecture,
( ~ epred52_0
| ~ epred49_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_350,c_0_220]),c_0_149]),c_0_120]) ).
cnf(c_0_454,negated_conjecture,
( ~ epred51_0
| ~ epred50_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_351,c_0_185]),c_0_147]),c_0_123]) ).
cnf(c_0_455,negated_conjecture,
( ~ epred46_0
| ~ epred45_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_352,c_0_199]),c_0_143]) ).
cnf(c_0_456,negated_conjecture,
( ~ epred45_0
| ~ epred44_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_353,c_0_192]),c_0_143]) ).
cnf(c_0_457,negated_conjecture,
( ~ epred43_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_354,c_0_222]),c_0_174]) ).
cnf(c_0_458,negated_conjecture,
( ~ epred40_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_355,c_0_152]),c_0_117]) ).
cnf(c_0_459,negated_conjecture,
( ~ epred39_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_356,c_0_342]),c_0_117]) ).
cnf(c_0_460,negated_conjecture,
( ~ epred38_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_357,c_0_124]),c_0_148]) ).
cnf(c_0_461,negated_conjecture,
( ~ epred37_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_137]),c_0_117]) ).
cnf(c_0_462,negated_conjecture,
( ~ epred36_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_164]),c_0_123]) ).
cnf(c_0_463,negated_conjecture,
( ~ epred33_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_360,c_0_138]),c_0_172]) ).
cnf(c_0_464,negated_conjecture,
( ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_361,c_0_139]),c_0_148]) ).
cnf(c_0_465,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_362,c_0_140]),c_0_117]) ).
cnf(c_0_466,negated_conjecture,
( ~ epred28_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_363,c_0_165]),c_0_128]) ).
cnf(c_0_467,negated_conjecture,
( ~ epred23_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_364,c_0_141]),c_0_123]) ).
cnf(c_0_468,negated_conjecture,
( ~ epred16_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_365,c_0_142]),c_0_122]) ).
cnf(c_0_469,negated_conjecture,
( ~ epred14_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_366,c_0_126]),c_0_120]) ).
cnf(c_0_470,negated_conjecture,
( ~ epred12_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_367,c_0_173]),c_0_259]) ).
cnf(c_0_471,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_368,c_0_242]),c_0_166]) ).
cnf(c_0_472,negated_conjecture,
( ~ c2_1(a1023)
| ~ hskp13 ),
clause110 ).
cnf(c_0_473,negated_conjecture,
( ~ c1_1(a1023)
| ~ hskp13 ),
clause109 ).
cnf(c_0_474,negated_conjecture,
( ~ c2_1(a1025)
| ~ hskp14 ),
clause107 ).
cnf(c_0_475,negated_conjecture,
( hskp24
| hskp25
| hskp19 ),
clause39 ).
cnf(c_0_476,negated_conjecture,
( hskp29
| hskp12
| hskp5 ),
clause32 ).
cnf(c_0_477,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_369,c_0_370,c_0_371,c_0_372,c_0_373,c_0_374,c_0_375,c_0_376,c_0_377,c_0_378,c_0_379,c_0_380,c_0_381,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_387,c_0_388,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_396,c_0_397,c_0_398,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_406,c_0_407,c_0_408,c_0_409,c_0_410,c_0_290,c_0_224,c_0_411,c_0_292,c_0_412,c_0_413,c_0_414,c_0_415,c_0_298,c_0_416,c_0_300,c_0_417,c_0_238,c_0_418,c_0_419,c_0_304,c_0_420,c_0_421,c_0_237,c_0_422,c_0_423,c_0_295,c_0_291,c_0_424,c_0_425,c_0_426,c_0_427,c_0_428,c_0_429,c_0_323,c_0_293,c_0_297,c_0_430,c_0_431,c_0_432,c_0_433,c_0_434,c_0_435,c_0_436,c_0_437,c_0_301,c_0_223,c_0_438,c_0_439,c_0_184,c_0_440,c_0_441,c_0_281,c_0_442,c_0_284,c_0_285,c_0_443,c_0_444,c_0_445,c_0_446,c_0_447,c_0_448,c_0_449,c_0_450,c_0_451,c_0_452,c_0_453,c_0_454,c_0_455,c_0_456,c_0_457,c_0_458,c_0_459,c_0_460,c_0_461,c_0_462,c_0_463,c_0_464,c_0_465,c_0_466,c_0_467,c_0_468,c_0_469,c_0_470,c_0_471,c_0_171,c_0_160,c_0_318,c_0_329,c_0_195,c_0_472,c_0_473,c_0_474,c_0_287,c_0_156,c_0_153,c_0_246,c_0_202,c_0_235,c_0_333,c_0_189,c_0_198,c_0_207,c_0_162,c_0_332,c_0_155,c_0_244,c_0_227,c_0_169,c_0_248,c_0_194,c_0_201,c_0_234,c_0_228,c_0_161,c_0_159,c_0_279,c_0_231,c_0_230,c_0_475,c_0_476,c_0_112]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:00:14 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 1.54/1.63 % Version : CSE_E---1.5
% 1.54/1.63 % Problem : theBenchmark.p
% 1.54/1.63 % Proof found
% 1.54/1.63 % SZS status Theorem for theBenchmark.p
% 1.54/1.63 % SZS output start Proof
% See solution above
% 1.63/1.65 % Total time : 1.021000 s
% 1.63/1.65 % SZS output end Proof
% 1.63/1.65 % Total time : 1.027000 s
%------------------------------------------------------------------------------