TSTP Solution File: SYN485-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN485-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 01:52:22 EDT 2023
% Result : Unsatisfiable 1.19s 1.40s
% Output : CNFRefutation 1.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 265
% Syntax : Number of formulae : 565 ( 2 unt; 129 typ; 0 def)
% Number of atoms : 1671 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2006 ( 771 ~;1197 |; 0 &)
% ( 38 <=>; 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 : 100 ( 99 usr; 96 prp; 0-1 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 202 ( 0 sgn; 38 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp17: $o ).
tff(decl_23,type,
hskp2: $o ).
tff(decl_24,type,
hskp29: $o ).
tff(decl_25,type,
ndr1_0: $o ).
tff(decl_26,type,
hskp28: $o ).
tff(decl_27,type,
hskp27: $o ).
tff(decl_28,type,
hskp26: $o ).
tff(decl_29,type,
hskp25: $o ).
tff(decl_30,type,
hskp24: $o ).
tff(decl_31,type,
hskp23: $o ).
tff(decl_32,type,
hskp22: $o ).
tff(decl_33,type,
hskp21: $o ).
tff(decl_34,type,
hskp20: $o ).
tff(decl_35,type,
hskp19: $o ).
tff(decl_36,type,
hskp18: $o ).
tff(decl_37,type,
hskp16: $o ).
tff(decl_38,type,
hskp15: $o ).
tff(decl_39,type,
hskp14: $o ).
tff(decl_40,type,
hskp13: $o ).
tff(decl_41,type,
hskp12: $o ).
tff(decl_42,type,
hskp11: $o ).
tff(decl_43,type,
hskp10: $o ).
tff(decl_44,type,
hskp9: $o ).
tff(decl_45,type,
hskp8: $o ).
tff(decl_46,type,
hskp7: $o ).
tff(decl_47,type,
hskp6: $o ).
tff(decl_48,type,
hskp5: $o ).
tff(decl_49,type,
hskp4: $o ).
tff(decl_50,type,
hskp3: $o ).
tff(decl_51,type,
hskp1: $o ).
tff(decl_52,type,
hskp0: $o ).
tff(decl_53,type,
a2077: $i ).
tff(decl_54,type,
c1_1: $i > $o ).
tff(decl_55,type,
c2_1: $i > $o ).
tff(decl_56,type,
c3_1: $i > $o ).
tff(decl_57,type,
a2075: $i ).
tff(decl_58,type,
c0_1: $i > $o ).
tff(decl_59,type,
a2073: $i ).
tff(decl_60,type,
a2069: $i ).
tff(decl_61,type,
a2172: $i ).
tff(decl_62,type,
a2160: $i ).
tff(decl_63,type,
a2149: $i ).
tff(decl_64,type,
a2140: $i ).
tff(decl_65,type,
a2136: $i ).
tff(decl_66,type,
a2122: $i ).
tff(decl_67,type,
a2116: $i ).
tff(decl_68,type,
a2110: $i ).
tff(decl_69,type,
a2104: $i ).
tff(decl_70,type,
a2099: $i ).
tff(decl_71,type,
a2096: $i ).
tff(decl_72,type,
a2095: $i ).
tff(decl_73,type,
a2093: $i ).
tff(decl_74,type,
a2087: $i ).
tff(decl_75,type,
a2084: $i ).
tff(decl_76,type,
a2082: $i ).
tff(decl_77,type,
a2079: $i ).
tff(decl_78,type,
a2078: $i ).
tff(decl_79,type,
a2076: $i ).
tff(decl_80,type,
a2074: $i ).
tff(decl_81,type,
a2071: $i ).
tff(decl_82,type,
a2070: $i ).
tff(decl_83,type,
a2068: $i ).
tff(decl_84,type,
a2130: $i ).
tff(decl_85,type,
a2097: $i ).
tff(decl_86,type,
a2072: $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 ).
tff(decl_149,type,
epred63_0: $o ).
tff(decl_150,type,
epred64_0: $o ).
cnf(clause29,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(clause1,negated_conjecture,
( hskp17
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause14,negated_conjecture,
( ndr1_0
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
cnf(clause137,negated_conjecture,
( c0_1(X1)
| hskp0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause42,negated_conjecture,
( c3_1(a2077)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(clause40,negated_conjecture,
( c1_1(a2077)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause41,negated_conjecture,
( c2_1(a2077)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(clause86,negated_conjecture,
( c3_1(a2068)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause129,negated_conjecture,
( ~ c2_1(a2068)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause128,negated_conjecture,
( ~ c0_1(a2068)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause79,negated_conjecture,
( c3_1(a2076)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause78,negated_conjecture,
( c1_1(a2076)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause121,negated_conjecture,
( ~ c0_1(a2076)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause133,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp5
| hskp4
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause81,negated_conjecture,
( c3_1(a2074)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause80,negated_conjecture,
( c1_1(a2074)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause122,negated_conjecture,
( ~ c2_1(a2074)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause125,negated_conjecture,
( ~ c3_1(a2072)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause124,negated_conjecture,
( ~ c1_1(a2072)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause123,negated_conjecture,
( ~ c0_1(a2072)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause37,negated_conjecture,
( hskp29
| hskp5
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause56,negated_conjecture,
( c3_1(a2149)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause55,negated_conjecture,
( c0_1(a2149)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
cnf(clause90,negated_conjecture,
( ~ c1_1(a2149)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause141,negated_conjecture,
( c2_1(X1)
| hskp22
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
cnf(clause48,negated_conjecture,
( c3_1(a2073)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
cnf(clause46,negated_conjecture,
( c0_1(a2073)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause47,negated_conjecture,
( c1_1(a2073)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause62,negated_conjecture,
( c1_1(a2116)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause98,negated_conjecture,
( ~ c2_1(a2116)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause119,negated_conjecture,
( ~ c1_1(a2078)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause77,negated_conjecture,
( c0_1(a2078)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause120,negated_conjecture,
( ~ c2_1(a2078)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause154,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
cnf(clause32,negated_conjecture,
( hskp27
| hskp23
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(clause87,negated_conjecture,
( ~ c0_1(a2172)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause52,negated_conjecture,
( c1_1(a2172)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause117,negated_conjecture,
( ~ c0_1(a2082)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause74,negated_conjecture,
( c2_1(a2082)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
cnf(clause91,negated_conjecture,
( ~ c0_1(a2140)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause57,negated_conjecture,
( c2_1(a2140)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause99,negated_conjecture,
( ~ c3_1(a2116)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
cnf(clause36,negated_conjecture,
( hskp6
| hskp5
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause88,negated_conjecture,
( ~ c3_1(a2172)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause73,negated_conjecture,
( c1_1(a2082)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause146,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp10
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
cnf(clause139,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp1
| hskp8
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
cnf(clause70,negated_conjecture,
( c2_1(a2087)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause115,negated_conjecture,
( ~ c3_1(a2087)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
cnf(clause126,negated_conjecture,
( ~ c3_1(a2071)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause83,negated_conjecture,
( c2_1(a2071)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause134,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp17
| hskp1
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause144,negated_conjecture,
( c0_1(X1)
| hskp11
| hskp0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
cnf(clause152,negated_conjecture,
( hskp17
| hskp22
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
cnf(clause156,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
cnf(clause68,negated_conjecture,
( c1_1(a2095)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(clause111,negated_conjecture,
( ~ c2_1(a2095)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause110,negated_conjecture,
( ~ c0_1(a2095)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
cnf(clause39,negated_conjecture,
( hskp12
| hskp25
| hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause113,negated_conjecture,
( ~ c3_1(a2093)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
cnf(clause112,negated_conjecture,
( ~ c1_1(a2093)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause100,negated_conjecture,
( ~ c1_1(a2110)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause63,negated_conjecture,
( c0_1(a2110)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
cnf(clause85,negated_conjecture,
( c3_1(a2070)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause58,negated_conjecture,
( c3_1(a2140)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(clause82,negated_conjecture,
( c0_1(a2071)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause54,negated_conjecture,
( c2_1(a2160)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause69,negated_conjecture,
( c0_1(a2093)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(clause64,negated_conjecture,
( c2_1(a2110)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
cnf(clause51,negated_conjecture,
( c3_1(a2069)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause50,negated_conjecture,
( c2_1(a2069)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause49,negated_conjecture,
( c0_1(a2069)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
cnf(clause84,negated_conjecture,
( c0_1(a2070)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause127,negated_conjecture,
( ~ c2_1(a2070)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause114,negated_conjecture,
( ~ c1_1(a2087)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
cnf(clause196,negated_conjecture,
( c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
cnf(clause194,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
cnf(clause193,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
cnf(clause190,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
cnf(clause187,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c2_1(X1)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
cnf(clause188,negated_conjecture,
( c0_1(X2)
| hskp26
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
cnf(clause182,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause186,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
cnf(clause181,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause176,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp10
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause185,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| hskp12
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
cnf(clause159,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause165,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp1
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause172,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause174,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
cnf(clause167,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp11
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause173,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp17
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
cnf(clause155,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/sandbox2/benchmark/theBenchmark.p',clause155) ).
cnf(clause157,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause89,negated_conjecture,
( ~ c3_1(a2160)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause53,negated_conjecture,
( c1_1(a2160)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause35,negated_conjecture,
( hskp23
| hskp24
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
cnf(clause34,negated_conjecture,
( hskp17
| hskp23
| hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(c_0_98,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
clause29 ).
cnf(c_0_99,negated_conjecture,
( hskp17
| hskp2 ),
clause1 ).
cnf(c_0_100,negated_conjecture,
( ndr1_0
| ~ hskp17 ),
clause14 ).
fof(c_0_101,plain,
( ~ epred45_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_102,negated_conjecture,
( c0_1(X1)
| hskp0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause137 ).
cnf(c_0_103,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).
fof(c_0_104,plain,
( ~ epred34_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_105,plain,
( ~ epred10_0
<=> ! [X2] :
( hskp4
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_106,negated_conjecture,
( epred45_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_101]) ).
cnf(c_0_107,negated_conjecture,
( c3_1(a2077)
| ~ hskp29 ),
clause42 ).
cnf(c_0_108,negated_conjecture,
( c1_1(a2077)
| ~ hskp29 ),
clause40 ).
cnf(c_0_109,negated_conjecture,
( c0_1(X1)
| hskp0
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_110,negated_conjecture,
( epred34_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_104]) ).
cnf(c_0_111,negated_conjecture,
( c2_1(a2077)
| ~ hskp29 ),
clause41 ).
fof(c_0_112,plain,
( ~ epred30_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_113,negated_conjecture,
( epred10_0
| c0_1(X1)
| c2_1(X1)
| hskp4
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_105]),c_0_103])]) ).
cnf(c_0_114,negated_conjecture,
( c3_1(a2068)
| ~ hskp0 ),
clause86 ).
cnf(c_0_115,negated_conjecture,
( ~ c2_1(a2068)
| ~ hskp0 ),
clause129 ).
cnf(c_0_116,negated_conjecture,
( ~ c0_1(a2068)
| ~ hskp0 ),
clause128 ).
cnf(c_0_117,negated_conjecture,
( c3_1(a2076)
| ~ hskp5 ),
clause79 ).
cnf(c_0_118,negated_conjecture,
( c1_1(a2076)
| ~ hskp5 ),
clause78 ).
cnf(c_0_119,negated_conjecture,
( ~ c0_1(a2076)
| ~ hskp5 ),
clause121 ).
cnf(c_0_120,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp5
| hskp4
| ~ ndr1_0 ),
clause133 ).
cnf(c_0_121,negated_conjecture,
( epred45_0
| ~ c0_1(a2077)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_122,negated_conjecture,
( c0_1(a2077)
| hskp0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_107]),c_0_108]) ).
cnf(c_0_123,negated_conjecture,
( epred34_0
| ~ c0_1(a2077)
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_107]),c_0_111]) ).
cnf(c_0_124,negated_conjecture,
( epred30_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_112]) ).
cnf(c_0_125,negated_conjecture,
( c3_1(a2074)
| ~ hskp4 ),
clause81 ).
cnf(c_0_126,negated_conjecture,
( c1_1(a2074)
| ~ hskp4 ),
clause80 ).
cnf(c_0_127,negated_conjecture,
( ~ c2_1(a2074)
| ~ hskp4 ),
clause122 ).
cnf(c_0_128,negated_conjecture,
( epred10_0
| hskp4
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_116]) ).
cnf(c_0_129,negated_conjecture,
( hskp0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_117]),c_0_118]),c_0_119]) ).
cnf(c_0_130,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp4
| hskp5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_103])]) ).
fof(c_0_131,plain,
( ~ epred3_0
<=> ! [X2] :
( hskp4
| c1_1(X2)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_132,negated_conjecture,
( epred45_0
| hskp0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_133,negated_conjecture,
( epred34_0
| hskp0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_123,c_0_122]) ).
fof(c_0_134,plain,
( ~ epred11_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_135,negated_conjecture,
( epred30_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_127]) ).
cnf(c_0_136,negated_conjecture,
( epred10_0
| hskp4
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_137,negated_conjecture,
( epred10_0
| c0_1(X1)
| c2_1(X1)
| hskp4
| hskp5 ),
inference(spm,[status(thm)],[c_0_113,c_0_130]) ).
cnf(c_0_138,negated_conjecture,
( ~ c3_1(a2072)
| ~ hskp3 ),
clause125 ).
cnf(c_0_139,negated_conjecture,
( epred3_0
| c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| hskp4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_131]),c_0_103])]) ).
cnf(c_0_140,negated_conjecture,
( ~ c1_1(a2072)
| ~ hskp3 ),
clause124 ).
cnf(c_0_141,negated_conjecture,
( ~ c0_1(a2072)
| ~ hskp3 ),
clause123 ).
cnf(c_0_142,negated_conjecture,
( epred45_0
| epred10_0
| hskp4
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_128,c_0_132]) ).
cnf(c_0_143,negated_conjecture,
( hskp29
| hskp5
| hskp3 ),
clause37 ).
cnf(c_0_144,negated_conjecture,
( epred34_0
| epred10_0
| hskp4
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_128,c_0_133]) ).
cnf(c_0_145,negated_conjecture,
( c3_1(a2149)
| ~ hskp23 ),
clause56 ).
cnf(c_0_146,negated_conjecture,
( c0_1(a2149)
| ~ hskp23 ),
clause55 ).
cnf(c_0_147,negated_conjecture,
( epred11_0
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_134]) ).
cnf(c_0_148,negated_conjecture,
( ~ c1_1(a2149)
| ~ hskp23 ),
clause90 ).
fof(c_0_149,plain,
( ~ epred59_0
<=> ! [X2] :
( c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_150,plain,
( ~ epred62_0
<=> ! [X3] :
( c3_1(X3)
| c0_1(X3)
| ~ ndr1_0
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_151,negated_conjecture,
( c2_1(X1)
| hskp22
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause141 ).
fof(c_0_152,plain,
( ~ epred9_0
<=> ! [X2] :
( hskp8
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_153,plain,
( ~ epred8_0
<=> ! [X1] :
( c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_154,plain,
( ~ epred4_0
<=> ! [X1] :
( c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_155,negated_conjecture,
( epred30_0
| epred10_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_156,negated_conjecture,
( epred30_0
| epred10_0
| c0_1(X1)
| c2_1(X1)
| hskp5 ),
inference(spm,[status(thm)],[c_0_135,c_0_137]) ).
cnf(c_0_157,negated_conjecture,
( epred3_0
| hskp4
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]),c_0_141]) ).
cnf(c_0_158,negated_conjecture,
( epred45_0
| epred10_0
| hskp3
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_136]) ).
cnf(c_0_159,negated_conjecture,
( epred34_0
| epred10_0
| hskp3
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_143]),c_0_136]) ).
cnf(c_0_160,negated_conjecture,
( c3_1(a2073)
| ~ hskp27 ),
clause48 ).
cnf(c_0_161,negated_conjecture,
( c0_1(a2073)
| ~ hskp27 ),
clause46 ).
cnf(c_0_162,negated_conjecture,
( c1_1(a2073)
| ~ hskp27 ),
clause47 ).
cnf(c_0_163,negated_conjecture,
( epred34_0
| ~ c2_1(a2149)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_145]),c_0_146]) ).
cnf(c_0_164,negated_conjecture,
( epred11_0
| c2_1(a2149)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_145]),c_0_148]) ).
cnf(c_0_165,negated_conjecture,
( epred59_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_149]),c_0_103])]) ).
cnf(c_0_166,negated_conjecture,
( epred62_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_150]),c_0_103])]) ).
cnf(c_0_167,negated_conjecture,
( c2_1(X1)
| hskp22
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_103])]) ).
cnf(c_0_168,negated_conjecture,
( c1_1(a2116)
| ~ hskp18 ),
clause62 ).
cnf(c_0_169,negated_conjecture,
( ~ c2_1(a2116)
| ~ hskp18 ),
clause98 ).
cnf(c_0_170,negated_conjecture,
( epred9_0
| c0_1(X1)
| c2_1(X1)
| hskp8
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_152]),c_0_103])]) ).
fof(c_0_171,plain,
( ~ epred27_0
<=> ! [X1] :
( hskp8
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_172,negated_conjecture,
( ~ c1_1(a2078)
| ~ hskp6 ),
clause119 ).
cnf(c_0_173,negated_conjecture,
( epred8_0
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_153]) ).
cnf(c_0_174,negated_conjecture,
( c0_1(a2078)
| ~ hskp6 ),
clause77 ).
cnf(c_0_175,negated_conjecture,
( ~ c2_1(a2078)
| ~ hskp6 ),
clause120 ).
fof(c_0_176,plain,
( ~ epred23_0
<=> ! [X2] :
( hskp11
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_177,plain,
( ~ epred60_0
<=> ! [X3] :
( c1_1(X3)
| c0_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
fof(c_0_178,plain,
( ~ epred12_0
<=> ! [X1] :
( hskp17
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_179,negated_conjecture,
( epred4_0
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_154]) ).
cnf(c_0_180,negated_conjecture,
( epred30_0
| epred10_0
| c0_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_181,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause154 ).
cnf(c_0_182,negated_conjecture,
( epred45_0
| epred10_0
| epred3_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_183,negated_conjecture,
( epred34_0
| epred10_0
| epred3_0
| hskp4 ),
inference(spm,[status(thm)],[c_0_157,c_0_159]) ).
cnf(c_0_184,negated_conjecture,
( epred30_0
| ~ c1_1(a2068)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_114]),c_0_115]) ).
cnf(c_0_185,negated_conjecture,
( epred11_0
| c1_1(a2068)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_114]),c_0_115]) ).
cnf(c_0_186,negated_conjecture,
( epred34_0
| ~ c2_1(a2073)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_160]),c_0_161]) ).
cnf(c_0_187,negated_conjecture,
( epred30_0
| c2_1(a2073)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_160]),c_0_162]) ).
cnf(c_0_188,negated_conjecture,
( epred34_0
| epred11_0
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_189,negated_conjecture,
( hskp27
| hskp23
| hskp5 ),
clause32 ).
cnf(c_0_190,negated_conjecture,
( ~ c0_1(a2172)
| ~ hskp25 ),
clause87 ).
cnf(c_0_191,negated_conjecture,
( epred62_0
| epred59_0
| c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_192,negated_conjecture,
( c1_1(a2172)
| ~ hskp25 ),
clause52 ).
cnf(c_0_193,negated_conjecture,
( ~ c0_1(a2082)
| ~ hskp8 ),
clause117 ).
cnf(c_0_194,negated_conjecture,
( c2_1(a2082)
| ~ hskp8 ),
clause74 ).
cnf(c_0_195,negated_conjecture,
( ~ c0_1(a2140)
| ~ hskp22 ),
clause91 ).
cnf(c_0_196,negated_conjecture,
( c2_1(a2140)
| ~ hskp22 ),
clause57 ).
cnf(c_0_197,negated_conjecture,
( hskp22
| ~ c0_1(a2116)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_169]) ).
cnf(c_0_198,negated_conjecture,
( epred9_0
| c0_1(a2116)
| hskp8
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_168]),c_0_169]) ).
cnf(c_0_199,negated_conjecture,
( epred27_0
| c3_1(X1)
| c2_1(X1)
| hskp8
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_171]),c_0_103])]) ).
cnf(c_0_200,negated_conjecture,
( ~ c3_1(a2116)
| ~ hskp18 ),
clause99 ).
cnf(c_0_201,negated_conjecture,
( epred8_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175]) ).
cnf(c_0_202,negated_conjecture,
( hskp6
| hskp5
| hskp18 ),
clause36 ).
cnf(c_0_203,negated_conjecture,
( epred23_0
| c0_1(X1)
| hskp11
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_176]),c_0_103])]) ).
cnf(c_0_204,negated_conjecture,
( epred60_0
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_177]) ).
cnf(c_0_205,negated_conjecture,
( epred12_0
| c3_1(X1)
| c2_1(X1)
| hskp17
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_103])]) ).
cnf(c_0_206,negated_conjecture,
( ~ c3_1(a2172)
| ~ hskp25 ),
clause88 ).
cnf(c_0_207,negated_conjecture,
( c1_1(a2082)
| ~ hskp8 ),
clause73 ).
fof(c_0_208,plain,
( ~ epred7_0
<=> ! [X2] :
( hskp11
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_209,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp10
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause146 ).
fof(c_0_210,plain,
( ~ epred64_0
<=> ! [X3] :
( c1_1(X3)
| c3_1(X3)
| ~ ndr1_0
| ~ c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_211,plain,
( ~ epred16_0
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_212,plain,
( ~ epred52_0
<=> ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_213,negated_conjecture,
( epred4_0
| ~ c2_1(a2072)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_179]),c_0_140]) ).
cnf(c_0_214,negated_conjecture,
( epred30_0
| epred10_0
| c2_1(a2072)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_141,c_0_180]) ).
cnf(c_0_215,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_181,c_0_131]),c_0_154]) ).
cnf(c_0_216,negated_conjecture,
( epred45_0
| epred30_0
| epred10_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_182]) ).
cnf(c_0_217,negated_conjecture,
( epred34_0
| epred30_0
| epred10_0
| epred3_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_183]) ).
cnf(c_0_218,negated_conjecture,
( epred30_0
| epred11_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_219,negated_conjecture,
( epred34_0
| epred30_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_220,negated_conjecture,
( epred34_0
| epred11_0
| hskp5
| hskp27 ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_221,negated_conjecture,
( epred62_0
| epred59_0
| ~ c2_1(a2172)
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_222,negated_conjecture,
( epred9_0
| c2_1(a2172)
| hskp8
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_192]),c_0_190]) ).
cnf(c_0_223,negated_conjecture,
( epred62_0
| epred59_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_191]),c_0_194]) ).
cnf(c_0_224,negated_conjecture,
( epred62_0
| epred59_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_191]),c_0_196]) ).
cnf(c_0_225,negated_conjecture,
( epred9_0
| hskp8
| hskp22
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_197,c_0_198]) ).
fof(c_0_226,plain,
( ~ epred26_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_227,plain,
( ~ epred53_0
<=> ! [X3] :
( c1_1(X3)
| c2_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
fof(c_0_228,plain,
( ~ epred42_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_229,plain,
( ~ epred6_0
<=> ! [X2] :
( c1_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_230,plain,
( ~ epred18_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_231,negated_conjecture,
( epred27_0
| hskp8
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_168]),c_0_169]),c_0_200]) ).
cnf(c_0_232,negated_conjecture,
( epred8_0
| hskp5
| hskp18 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_233,negated_conjecture,
( epred60_0
| epred23_0
| c0_1(X1)
| hskp11
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_234,negated_conjecture,
( hskp22
| ~ c0_1(a2074)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_126]),c_0_127]) ).
cnf(c_0_235,negated_conjecture,
( epred9_0
| c0_1(a2074)
| hskp8
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_126]),c_0_127]) ).
cnf(c_0_236,negated_conjecture,
( epred23_0
| hskp11
| ~ c2_1(a2172)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_192]),c_0_190]) ).
cnf(c_0_237,negated_conjecture,
( epred12_0
| c2_1(a2172)
| hskp17
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_192]),c_0_206]) ).
cnf(c_0_238,negated_conjecture,
( epred23_0
| hskp11
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_207]),c_0_194]),c_0_193]) ).
cnf(c_0_239,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp1
| hskp8
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause139 ).
cnf(c_0_240,negated_conjecture,
( epred7_0
| c0_1(X1)
| c3_1(X1)
| hskp11
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_208]),c_0_103])]) ).
cnf(c_0_241,negated_conjecture,
( c2_1(a2087)
| ~ hskp10 ),
clause70 ).
cnf(c_0_242,negated_conjecture,
( ~ c3_1(a2087)
| ~ hskp10 ),
clause115 ).
fof(c_0_243,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_244,negated_conjecture,
( ~ c3_1(a2071)
| ~ hskp2 ),
clause126 ).
cnf(c_0_245,negated_conjecture,
( c2_1(a2071)
| ~ hskp2 ),
clause83 ).
cnf(c_0_246,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp17
| hskp1
| ~ ndr1_0 ),
clause134 ).
cnf(c_0_247,negated_conjecture,
( c1_1(X1)
| hskp10
| hskp11
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_103])]) ).
cnf(c_0_248,negated_conjecture,
( epred64_0
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_103])]) ).
cnf(c_0_249,negated_conjecture,
( c0_1(X1)
| hskp11
| hskp0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause144 ).
cnf(c_0_250,negated_conjecture,
( hskp17
| hskp22
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause152 ).
fof(c_0_251,plain,
( ~ epred50_0
<=> ! [X2] :
( hskp26
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_252,plain,
( ~ epred49_0
<=> ! [X1] :
( hskp3
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_253,plain,
( ~ epred47_0
<=> ! [X1] :
( hskp4
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_254,plain,
( ~ epred41_0
<=> ! [X2] :
( hskp8
| c1_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_255,plain,
( ~ epred40_0
<=> ! [X2] :
( hskp10
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_256,plain,
( ~ epred37_0
<=> ! [X1] :
( hskp12
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_257,plain,
( ~ epred54_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| c0_1(X3)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_258,plain,
( ~ epred33_0
<=> ! [X2] :
( hskp0
| c1_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_259,plain,
( ~ epred31_0
<=> ! [X1] :
( hskp1
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_260,plain,
( ~ epred29_0
<=> ! [X2] :
( hskp3
| c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_261,negated_conjecture,
( epred16_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_211]) ).
cnf(c_0_262,negated_conjecture,
( epred52_0
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_212]),c_0_103])]) ).
cnf(c_0_263,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause156 ).
cnf(c_0_264,negated_conjecture,
( epred30_0
| epred10_0
| epred4_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_265,negated_conjecture,
( epred45_0
| epred30_0
| epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_266,negated_conjecture,
( epred34_0
| epred30_0
| epred10_0
| ~ epred4_0 ),
inference(spm,[status(thm)],[c_0_215,c_0_217]) ).
cnf(c_0_267,negated_conjecture,
( epred30_0
| epred11_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_218,c_0_129]) ).
cnf(c_0_268,negated_conjecture,
( epred34_0
| epred30_0
| epred11_0
| hskp5 ),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_269,negated_conjecture,
( c1_1(a2095)
| ~ hskp12 ),
clause68 ).
cnf(c_0_270,negated_conjecture,
( ~ c2_1(a2095)
| ~ hskp12 ),
clause111 ).
cnf(c_0_271,negated_conjecture,
( ~ c0_1(a2095)
| ~ hskp12 ),
clause110 ).
cnf(c_0_272,negated_conjecture,
( epred62_0
| epred59_0
| epred9_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).
cnf(c_0_273,negated_conjecture,
( hskp12
| hskp25
| hskp18 ),
clause39 ).
cnf(c_0_274,negated_conjecture,
( epred62_0
| epred59_0
| epred9_0
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_223]) ).
cnf(c_0_275,negated_conjecture,
( epred26_0
| c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_226]) ).
fof(c_0_276,plain,
( ~ epred61_0
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_277,negated_conjecture,
( epred53_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_227]) ).
cnf(c_0_278,negated_conjecture,
( epred42_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_228]) ).
fof(c_0_279,plain,
( ~ epred32_0
<=> ! [X2] :
( c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_280,plain,
( ~ epred13_0
<=> ! [X2] :
( c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_281,negated_conjecture,
( ~ c3_1(a2093)
| ~ hskp11 ),
clause113 ).
cnf(c_0_282,negated_conjecture,
( ~ c1_1(a2093)
| ~ hskp11 ),
clause112 ).
cnf(c_0_283,negated_conjecture,
( epred6_0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_229]) ).
cnf(c_0_284,negated_conjecture,
( epred18_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_230]) ).
cnf(c_0_285,negated_conjecture,
( epred27_0
| epred8_0
| hskp5
| hskp8 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_286,negated_conjecture,
( epred60_0
| epred23_0
| hskp11
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_196]),c_0_195]) ).
cnf(c_0_287,negated_conjecture,
( epred9_0
| hskp8
| hskp22
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_288,negated_conjecture,
( epred23_0
| epred12_0
| hskp11
| hskp17
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_289,negated_conjecture,
( epred23_0
| epred9_0
| hskp11
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_222]),c_0_238]) ).
cnf(c_0_290,negated_conjecture,
( ~ c1_1(a2110)
| ~ hskp17 ),
clause100 ).
cnf(c_0_291,negated_conjecture,
( epred34_0
| epred4_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_179]) ).
cnf(c_0_292,negated_conjecture,
( c3_1(X1)
| c1_1(X1)
| hskp1
| hskp8
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_103])]) ).
cnf(c_0_293,negated_conjecture,
( epred7_0
| c0_1(a2087)
| hskp11
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]) ).
cnf(c_0_294,negated_conjecture,
( epred39_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_243]) ).
cnf(c_0_295,negated_conjecture,
( epred4_0
| c1_1(a2071)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_179]),c_0_245]) ).
cnf(c_0_296,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp1
| hskp17 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_103])]) ).
cnf(c_0_297,negated_conjecture,
( epred64_0
| c1_1(X1)
| hskp10
| hskp11
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_298,negated_conjecture,
( c0_1(a2110)
| ~ hskp17 ),
clause63 ).
cnf(c_0_299,negated_conjecture,
( c3_1(a2070)
| ~ hskp1 ),
clause85 ).
cnf(c_0_300,negated_conjecture,
( c0_1(X1)
| hskp0
| hskp11
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_103])]) ).
cnf(c_0_301,negated_conjecture,
( c3_1(a2140)
| ~ hskp22 ),
clause58 ).
cnf(c_0_302,negated_conjecture,
( hskp22
| hskp17
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_103])]) ).
cnf(c_0_303,negated_conjecture,
( epred50_0
| c0_1(X1)
| hskp26
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_251]),c_0_103])]) ).
cnf(c_0_304,negated_conjecture,
( epred49_0
| c2_1(X1)
| hskp3
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_252]),c_0_103])]) ).
cnf(c_0_305,negated_conjecture,
( epred47_0
| c3_1(X1)
| hskp4
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_253]),c_0_103])]) ).
cnf(c_0_306,negated_conjecture,
( c0_1(a2071)
| ~ hskp2 ),
clause82 ).
cnf(c_0_307,negated_conjecture,
( epred41_0
| c2_1(X1)
| c1_1(X1)
| hskp8
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_254]),c_0_103])]) ).
cnf(c_0_308,negated_conjecture,
( epred40_0
| c0_1(X1)
| c2_1(X1)
| hskp10
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_255]),c_0_103])]) ).
cnf(c_0_309,negated_conjecture,
( epred37_0
| c3_1(X1)
| hskp12
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_256]),c_0_103])]) ).
cnf(c_0_310,negated_conjecture,
( c2_1(a2160)
| ~ hskp24 ),
clause54 ).
cnf(c_0_311,negated_conjecture,
( epred54_0
| c0_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_257]),c_0_103])]) ).
cnf(c_0_312,negated_conjecture,
( epred33_0
| c0_1(X1)
| c2_1(X1)
| c1_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_258]),c_0_103])]) ).
cnf(c_0_313,negated_conjecture,
( epred31_0
| c0_1(X1)
| hskp1
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_259]),c_0_103])]) ).
cnf(c_0_314,negated_conjecture,
( epred29_0
| c3_1(X1)
| c1_1(X1)
| hskp3
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_260]),c_0_103])]) ).
cnf(c_0_315,negated_conjecture,
( c0_1(a2093)
| ~ hskp11 ),
clause69 ).
cnf(c_0_316,negated_conjecture,
( epred16_0
| ~ c0_1(a2074)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_126]),c_0_127]) ).
cnf(c_0_317,negated_conjecture,
( epred52_0
| c0_1(a2074)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_126]),c_0_127]) ).
cnf(c_0_318,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_263,c_0_105]),c_0_134]) ).
cnf(c_0_319,negated_conjecture,
( epred45_0
| epred30_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_158]),c_0_135]),c_0_265]) ).
cnf(c_0_320,negated_conjecture,
( epred34_0
| epred30_0
| epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_159]),c_0_135]),c_0_266]) ).
cnf(c_0_321,negated_conjecture,
( epred34_0
| epred30_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_322,negated_conjecture,
( epred23_0
| hskp11
| ~ c2_1(a2076)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_118]),c_0_119]) ).
cnf(c_0_323,negated_conjecture,
( epred9_0
| c2_1(a2076)
| hskp8
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_118]),c_0_119]) ).
cnf(c_0_324,negated_conjecture,
( epred9_0
| hskp8
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_269]),c_0_270]),c_0_271]) ).
cnf(c_0_325,negated_conjecture,
( epred62_0
| epred59_0
| epred9_0
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_326,negated_conjecture,
( epred45_0
| epred30_0
| epred11_0
| ~ hskp29 ),
inference(spm,[status(thm)],[c_0_218,c_0_132]) ).
cnf(c_0_327,negated_conjecture,
( epred16_0
| ~ c0_1(a2116)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_168]),c_0_169]) ).
cnf(c_0_328,negated_conjecture,
( epred26_0
| ~ c0_1(a2074)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_125]),c_0_127]) ).
cnf(c_0_329,negated_conjecture,
( epred61_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_276]) ).
cnf(c_0_330,negated_conjecture,
( c2_1(a2110)
| ~ hskp17 ),
clause64 ).
cnf(c_0_331,negated_conjecture,
( epred53_0
| c2_1(a2072)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_277]),c_0_141]) ).
cnf(c_0_332,negated_conjecture,
( epred42_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_107]),c_0_108]),c_0_111]) ).
cnf(c_0_333,negated_conjecture,
( c3_1(a2069)
| ~ hskp26 ),
clause51 ).
cnf(c_0_334,negated_conjecture,
( c2_1(a2069)
| ~ hskp26 ),
clause50 ).
cnf(c_0_335,negated_conjecture,
( c0_1(a2069)
| ~ hskp26 ),
clause49 ).
cnf(c_0_336,negated_conjecture,
( epred32_0
| c0_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_279]) ).
cnf(c_0_337,negated_conjecture,
( c0_1(a2070)
| ~ hskp1 ),
clause84 ).
cnf(c_0_338,negated_conjecture,
( ~ c2_1(a2070)
| ~ hskp1 ),
clause127 ).
cnf(c_0_339,negated_conjecture,
( epred13_0
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_280]) ).
cnf(c_0_340,negated_conjecture,
( epred4_0
| ~ c2_1(a2093)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_179]),c_0_282]) ).
cnf(c_0_341,negated_conjecture,
( epred6_0
| c2_1(a2093)
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_283]),c_0_282]) ).
cnf(c_0_342,negated_conjecture,
( ~ c1_1(a2087)
| ~ hskp10 ),
clause114 ).
cnf(c_0_343,negated_conjecture,
( epred18_0
| epred4_0
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_284,c_0_179]) ).
cnf(c_0_344,negated_conjecture,
( c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3) ),
clause196 ).
cnf(c_0_345,negated_conjecture,
( c2_1(X1)
| c2_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause194 ).
cnf(c_0_346,negated_conjecture,
( c1_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause193 ).
cnf(c_0_347,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause190 ).
cnf(c_0_348,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X1)
| c2_1(X1)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ ndr1_0
| ~ c1_1(X1) ),
clause187 ).
cnf(c_0_349,negated_conjecture,
( c0_1(X2)
| hskp26
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause188 ).
cnf(c_0_350,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause182 ).
cnf(c_0_351,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| hskp4
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause186 ).
cnf(c_0_352,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause181 ).
cnf(c_0_353,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp10
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause176 ).
cnf(c_0_354,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| hskp12
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2) ),
clause185 ).
cnf(c_0_355,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause159 ).
cnf(c_0_356,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp1
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause165 ).
cnf(c_0_357,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp3
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause172 ).
cnf(c_0_358,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp8
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause174 ).
cnf(c_0_359,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp11
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause167 ).
cnf(c_0_360,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp17
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause173 ).
cnf(c_0_361,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp8
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause155 ).
cnf(c_0_362,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp11
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause157 ).
cnf(c_0_363,negated_conjecture,
( epred23_0
| hskp11
| epred27_0
| epred8_0
| hskp5 ),
inference(spm,[status(thm)],[c_0_238,c_0_285]) ).
cnf(c_0_364,negated_conjecture,
( epred60_0
| epred23_0
| hskp11
| epred9_0
| hskp8
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_286,c_0_287]) ).
cnf(c_0_365,negated_conjecture,
( epred23_0
| epred12_0
| hskp11
| hskp17
| hskp12
| hskp18 ),
inference(spm,[status(thm)],[c_0_288,c_0_273]) ).
cnf(c_0_366,negated_conjecture,
( epred23_0
| epred9_0
| hskp11
| hskp12
| hskp18 ),
inference(spm,[status(thm)],[c_0_289,c_0_273]) ).
cnf(c_0_367,negated_conjecture,
( epred34_0
| epred4_0
| ~ hskp17
| ~ c0_1(a2110)
| ~ c2_1(a2110) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_368,negated_conjecture,
( c3_1(a2087)
| c1_1(a2087)
| hskp1
| hskp8
| epred7_0
| hskp11
| ~ hskp10 ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_369,negated_conjecture,
( epred39_0
| epred4_0
| ~ c0_1(a2071)
| ~ c2_1(a2071)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_370,negated_conjecture,
( c2_1(a2093)
| c1_1(a2093)
| hskp1
| hskp17
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_281,c_0_296]) ).
cnf(c_0_371,negated_conjecture,
( epred64_0
| c1_1(a2110)
| hskp10
| hskp11
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_372,negated_conjecture,
( c1_1(a2149)
| hskp10
| hskp11
| ~ c0_1(a2149)
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_247,c_0_145]) ).
cnf(c_0_373,negated_conjecture,
( c1_1(a2070)
| hskp10
| hskp11
| ~ c0_1(a2070)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_247,c_0_299]) ).
cnf(c_0_374,negated_conjecture,
( c0_1(a2140)
| hskp0
| hskp11
| ~ c2_1(a2140)
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
cnf(c_0_375,negated_conjecture,
( hskp22
| hskp17
| ~ c0_1(a2070)
| ~ c1_1(a2070)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_302,c_0_299]) ).
cnf(c_0_376,negated_conjecture,
( epred64_0
| c1_1(a2093)
| ~ hskp11
| ~ c0_1(a2093) ),
inference(spm,[status(thm)],[c_0_281,c_0_248]) ).
cnf(c_0_377,negated_conjecture,
( epred62_0
| c0_1(a2072)
| ~ hskp3
| ~ c2_1(a2072) ),
inference(spm,[status(thm)],[c_0_138,c_0_166]) ).
cnf(c_0_378,negated_conjecture,
( epred50_0
| c0_1(a2140)
| hskp26
| ~ c2_1(a2140)
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_303,c_0_301]) ).
cnf(c_0_379,negated_conjecture,
( epred49_0
| c2_1(a2070)
| hskp3
| ~ c0_1(a2070)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_304,c_0_299]) ).
cnf(c_0_380,negated_conjecture,
( epred47_0
| c3_1(a2071)
| hskp4
| ~ c2_1(a2071)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_381,negated_conjecture,
( epred41_0
| c2_1(a2149)
| c1_1(a2149)
| hskp8
| ~ hskp23 ),
inference(spm,[status(thm)],[c_0_307,c_0_145]) ).
cnf(c_0_382,negated_conjecture,
( epred40_0
| c0_1(a2068)
| c2_1(a2068)
| hskp10
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_308,c_0_114]) ).
cnf(c_0_383,negated_conjecture,
( epred37_0
| c3_1(a2160)
| hskp12
| ~ c1_1(a2160)
| ~ hskp24 ),
inference(spm,[status(thm)],[c_0_309,c_0_310]) ).
cnf(c_0_384,negated_conjecture,
( epred37_0
| c3_1(a2071)
| hskp12
| ~ c1_1(a2071)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_309,c_0_245]) ).
cnf(c_0_385,negated_conjecture,
( epred54_0
| c0_1(a2072)
| c2_1(a2072)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_138,c_0_311]) ).
cnf(c_0_386,negated_conjecture,
( epred33_0
| c0_1(a2072)
| c2_1(a2072)
| hskp0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_140,c_0_312]) ).
cnf(c_0_387,negated_conjecture,
( epred31_0
| c0_1(a2082)
| hskp1
| ~ c2_1(a2082)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_313,c_0_207]) ).
cnf(c_0_388,negated_conjecture,
( epred29_0
| c3_1(a2093)
| c1_1(a2093)
| hskp3
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_314,c_0_315]) ).
cnf(c_0_389,negated_conjecture,
( epred52_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_269]),c_0_270]),c_0_271]) ).
cnf(c_0_390,negated_conjecture,
( epred52_0
| epred16_0
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_391,negated_conjecture,
( epred45_0
| epred30_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
cnf(c_0_392,negated_conjecture,
( epred34_0
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_320]),c_0_321]) ).
cnf(c_0_393,negated_conjecture,
( epred23_0
| epred9_0
| hskp11
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_238]) ).
cnf(c_0_394,negated_conjecture,
( epred62_0
| epred59_0
| epred9_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_223]) ).
cnf(c_0_395,negated_conjecture,
( epred30_0
| epred10_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_180]),c_0_115]) ).
cnf(c_0_396,negated_conjecture,
( epred45_0
| epred30_0
| epred11_0
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_143]),c_0_267]) ).
cnf(c_0_397,negated_conjecture,
( epred16_0
| epred9_0
| hskp8
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_327,c_0_198]) ).
cnf(c_0_398,negated_conjecture,
( epred26_0
| epred9_0
| hskp8
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_328,c_0_235]) ).
cnf(c_0_399,negated_conjecture,
( epred61_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_329]),c_0_330]),c_0_298]) ).
cnf(c_0_400,negated_conjecture,
( epred60_0
| ~ c2_1(a2072)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_204]),c_0_141]) ).
cnf(c_0_401,negated_conjecture,
( epred53_0
| epred4_0
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_213,c_0_331]) ).
cnf(c_0_402,negated_conjecture,
( epred45_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_160]),c_0_162]),c_0_161]) ).
cnf(c_0_403,negated_conjecture,
( epred42_0
| hskp3
| hskp5 ),
inference(spm,[status(thm)],[c_0_332,c_0_143]) ).
cnf(c_0_404,negated_conjecture,
( epred34_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_333]),c_0_334]),c_0_335]) ).
cnf(c_0_405,negated_conjecture,
( epred32_0
| ~ c2_1(a2072)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_336]),c_0_141]) ).
cnf(c_0_406,negated_conjecture,
( epred26_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_299]),c_0_337]),c_0_338]) ).
cnf(c_0_407,negated_conjecture,
( epred18_0
| ~ c2_1(a2149)
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_145]),c_0_148]) ).
cnf(c_0_408,negated_conjecture,
( epred13_0
| ~ hskp23 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_145]),c_0_146]),c_0_148]) ).
cnf(c_0_409,negated_conjecture,
( epred6_0
| epred4_0
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_340,c_0_341]) ).
cnf(c_0_410,negated_conjecture,
( epred4_0
| ~ hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_179]),c_0_241]),c_0_342]) ).
cnf(c_0_411,negated_conjecture,
( epred18_0
| epred4_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_343]),c_0_330]) ).
cnf(c_0_412,negated_conjecture,
( ~ epred64_0
| ~ epred45_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_344,c_0_210]),c_0_101]),c_0_104]) ).
cnf(c_0_413,negated_conjecture,
( ~ epred62_0
| ~ epred30_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_345,c_0_150]),c_0_112]),c_0_226]) ).
cnf(c_0_414,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_149]),c_0_177]),c_0_276]) ).
cnf(c_0_415,negated_conjecture,
( ~ epred54_0
| ~ epred30_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_347,c_0_257]),c_0_154]),c_0_112]) ).
cnf(c_0_416,negated_conjecture,
( ~ epred53_0
| ~ epred52_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_348,c_0_212]),c_0_227]),c_0_229]) ).
cnf(c_0_417,negated_conjecture,
( ~ epred50_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_349,c_0_251]),c_0_243]) ).
cnf(c_0_418,negated_conjecture,
( ~ epred49_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_350,c_0_252]),c_0_230]) ).
cnf(c_0_419,negated_conjecture,
( ~ epred47_0
| ~ epred26_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_351,c_0_253]),c_0_226]) ).
cnf(c_0_420,negated_conjecture,
( ~ epred42_0
| ~ epred41_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_352,c_0_254]),c_0_228]) ).
cnf(c_0_421,negated_conjecture,
( ~ epred40_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_353,c_0_255]),c_0_104]) ).
cnf(c_0_422,negated_conjecture,
( ~ epred37_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_354,c_0_256]),c_0_211]) ).
cnf(c_0_423,negated_conjecture,
( ~ epred34_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_355,c_0_258]),c_0_104]) ).
cnf(c_0_424,negated_conjecture,
( ~ epred32_0
| ~ epred31_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_356,c_0_259]),c_0_279]) ).
cnf(c_0_425,negated_conjecture,
( ~ epred30_0
| ~ epred29_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_357,c_0_260]),c_0_112]) ).
cnf(c_0_426,negated_conjecture,
( ~ epred27_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_358,c_0_171]),c_0_280]) ).
cnf(c_0_427,negated_conjecture,
( ~ epred23_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_359,c_0_176]),c_0_154]) ).
cnf(c_0_428,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_360,c_0_178]),c_0_280]) ).
cnf(c_0_429,negated_conjecture,
( ~ epred9_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_361,c_0_152]),c_0_154]) ).
cnf(c_0_430,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_362,c_0_208]),c_0_153]) ).
cnf(c_0_431,negated_conjecture,
( ~ c3_1(a2160)
| ~ hskp24 ),
clause89 ).
cnf(c_0_432,negated_conjecture,
( c1_1(a2160)
| ~ hskp24 ),
clause53 ).
cnf(c_0_433,negated_conjecture,
( hskp23
| hskp24
| hskp5 ),
clause35 ).
cnf(c_0_434,negated_conjecture,
( hskp17
| hskp23
| hskp1 ),
clause34 ).
cnf(c_0_435,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,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_231,c_0_389,c_0_390,c_0_391,c_0_392,c_0_393,c_0_394,c_0_395,c_0_238,c_0_396,c_0_129,c_0_397,c_0_398,c_0_324,c_0_399,c_0_400,c_0_401,c_0_402,c_0_403,c_0_404,c_0_405,c_0_135,c_0_218,c_0_406,c_0_407,c_0_157,c_0_408,c_0_409,c_0_340,c_0_410,c_0_295,c_0_213,c_0_411,c_0_412,c_0_413,c_0_414,c_0_415,c_0_416,c_0_417,c_0_418,c_0_419,c_0_420,c_0_421,c_0_422,c_0_423,c_0_424,c_0_425,c_0_426,c_0_427,c_0_428,c_0_318,c_0_429,c_0_430,c_0_215,c_0_116,c_0_115,c_0_338,c_0_141,c_0_193,c_0_242,c_0_342,c_0_281,c_0_282,c_0_195,c_0_148,c_0_431,c_0_244,c_0_290,c_0_337,c_0_306,c_0_315,c_0_298,c_0_146,c_0_245,c_0_194,c_0_330,c_0_196,c_0_432,c_0_433,c_0_189,c_0_434,c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN485-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 17:19:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 1.19/1.40 % Version : CSE_E---1.5
% 1.19/1.40 % Problem : theBenchmark.p
% 1.19/1.40 % Proof found
% 1.19/1.40 % SZS status Theorem for theBenchmark.p
% 1.19/1.40 % SZS output start Proof
% See solution above
% 1.19/1.42 % Total time : 0.825000 s
% 1.19/1.42 % SZS output end Proof
% 1.19/1.42 % Total time : 0.830000 s
%------------------------------------------------------------------------------