TSTP Solution File: SYN462-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN462-1 : 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 : n027.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 01:52:05 EDT 2023
% Result : Unsatisfiable 1.25s 1.43s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 233
% Syntax : Number of formulae : 505 ( 2 unt; 115 typ; 0 def)
% Number of atoms : 1432 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1724 ( 682 ~;1009 |; 0 &)
% ( 33 <=>; 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 : 85 ( 84 usr; 81 prp; 0-1 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 172 ( 0 sgn; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hskp30: $o ).
tff(decl_23,type,
ndr1_0: $o ).
tff(decl_24,type,
hskp29: $o ).
tff(decl_25,type,
hskp28: $o ).
tff(decl_26,type,
hskp27: $o ).
tff(decl_27,type,
hskp26: $o ).
tff(decl_28,type,
hskp25: $o ).
tff(decl_29,type,
hskp24: $o ).
tff(decl_30,type,
hskp23: $o ).
tff(decl_31,type,
hskp22: $o ).
tff(decl_32,type,
hskp21: $o ).
tff(decl_33,type,
hskp20: $o ).
tff(decl_34,type,
hskp19: $o ).
tff(decl_35,type,
hskp18: $o ).
tff(decl_36,type,
hskp17: $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,
hskp2: $o ).
tff(decl_52,type,
hskp1: $o ).
tff(decl_53,type,
hskp0: $o ).
tff(decl_54,type,
a337: $i ).
tff(decl_55,type,
c0_1: $i > $o ).
tff(decl_56,type,
c2_1: $i > $o ).
tff(decl_57,type,
c3_1: $i > $o ).
tff(decl_58,type,
a304: $i ).
tff(decl_59,type,
c1_1: $i > $o ).
tff(decl_60,type,
a278: $i ).
tff(decl_61,type,
a276: $i ).
tff(decl_62,type,
a352: $i ).
tff(decl_63,type,
a318: $i ).
tff(decl_64,type,
a311: $i ).
tff(decl_65,type,
a307: $i ).
tff(decl_66,type,
a305: $i ).
tff(decl_67,type,
a303: $i ).
tff(decl_68,type,
a298: $i ).
tff(decl_69,type,
a295: $i ).
tff(decl_70,type,
a293: $i ).
tff(decl_71,type,
a291: $i ).
tff(decl_72,type,
a287: $i ).
tff(decl_73,type,
a286: $i ).
tff(decl_74,type,
a284: $i ).
tff(decl_75,type,
a282: $i ).
tff(decl_76,type,
a281: $i ).
tff(decl_77,type,
a280: $i ).
tff(decl_78,type,
a274: $i ).
tff(decl_79,type,
a273: $i ).
tff(decl_80,type,
a272: $i ).
tff(decl_81,type,
a270: $i ).
tff(decl_82,type,
a269: $i ).
tff(decl_83,type,
a268: $i ).
tff(decl_84,type,
a267: $i ).
tff(decl_85,type,
a356: $i ).
tff(decl_86,type,
a313: $i ).
tff(decl_87,type,
a275: $i ).
tff(decl_88,type,
a271: $i ).
tff(decl_89,type,
epred1_0: $o ).
tff(decl_90,type,
epred2_0: $o ).
tff(decl_91,type,
epred3_0: $o ).
tff(decl_92,type,
epred4_0: $o ).
tff(decl_93,type,
epred5_0: $o ).
tff(decl_94,type,
epred6_0: $o ).
tff(decl_95,type,
epred7_0: $o ).
tff(decl_96,type,
epred8_0: $o ).
tff(decl_97,type,
epred9_0: $o ).
tff(decl_98,type,
epred10_0: $o ).
tff(decl_99,type,
epred11_0: $o ).
tff(decl_100,type,
epred12_0: $o ).
tff(decl_101,type,
epred13_0: $o ).
tff(decl_102,type,
epred14_0: $o ).
tff(decl_103,type,
epred15_0: $o ).
tff(decl_104,type,
epred16_0: $o ).
tff(decl_105,type,
epred17_0: $o ).
tff(decl_106,type,
epred18_0: $o ).
tff(decl_107,type,
epred19_0: $o ).
tff(decl_108,type,
epred20_0: $o ).
tff(decl_109,type,
epred21_0: $o ).
tff(decl_110,type,
epred22_0: $o ).
tff(decl_111,type,
epred23_0: $o ).
tff(decl_112,type,
epred24_0: $o ).
tff(decl_113,type,
epred25_0: $o ).
tff(decl_114,type,
epred26_0: $o ).
tff(decl_115,type,
epred27_0: $o ).
tff(decl_116,type,
epred28_0: $o ).
tff(decl_117,type,
epred29_0: $o ).
tff(decl_118,type,
epred30_0: $o ).
tff(decl_119,type,
epred31_0: $o ).
tff(decl_120,type,
epred32_0: $o ).
tff(decl_121,type,
epred33_0: $o ).
tff(decl_122,type,
epred34_0: $o ).
tff(decl_123,type,
epred35_0: $o ).
tff(decl_124,type,
epred36_0: $o ).
tff(decl_125,type,
epred37_0: $o ).
tff(decl_126,type,
epred38_0: $o ).
tff(decl_127,type,
epred39_0: $o ).
tff(decl_128,type,
epred40_0: $o ).
tff(decl_129,type,
epred41_0: $o ).
tff(decl_130,type,
epred42_0: $o ).
tff(decl_131,type,
epred43_0: $o ).
tff(decl_132,type,
epred44_0: $o ).
tff(decl_133,type,
epred45_0: $o ).
tff(decl_134,type,
epred46_0: $o ).
tff(decl_135,type,
epred47_0: $o ).
tff(decl_136,type,
epred48_0: $o ).
cnf(clause1,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause36,negated_conjecture,
( hskp30
| hskp14
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(clause14,negated_conjecture,
( ndr1_0
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
cnf(clause17,negated_conjecture,
( ndr1_0
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(clause53,negated_conjecture,
( c3_1(a276)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(clause52,negated_conjecture,
( c2_1(a276)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(clause51,negated_conjecture,
( c1_1(a276)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(clause70,negated_conjecture,
( c1_1(a287)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(clause108,negated_conjecture,
( ~ c0_1(a287)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ c2_1(a287)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
cnf(clause137,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp14
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
cnf(clause136,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp9
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
cnf(clause92,negated_conjecture,
( ~ c3_1(a352)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
cnf(clause54,negated_conjecture,
( c1_1(a352)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(clause91,negated_conjecture,
( ~ c2_1(a352)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
cnf(clause138,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp8
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
cnf(clause73,negated_conjecture,
( c2_1(a284)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(clause111,negated_conjecture,
( ~ c0_1(a284)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(clause112,negated_conjecture,
( ~ c3_1(a284)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause77,negated_conjecture,
( c3_1(a280)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
cnf(clause76,negated_conjecture,
( c2_1(a280)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
cnf(clause117,negated_conjecture,
( ~ c1_1(a280)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
cnf(clause40,negated_conjecture,
( hskp14
| hskp25
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
cnf(clause81,negated_conjecture,
( c2_1(a273)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
cnf(clause80,negated_conjecture,
( c1_1(a273)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
cnf(clause122,negated_conjecture,
( ~ c0_1(a273)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
cnf(clause124,negated_conjecture,
( ~ c3_1(a272)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
cnf(clause123,negated_conjecture,
( ~ c1_1(a272)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
cnf(clause128,negated_conjecture,
( ~ c2_1(a270)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
cnf(clause83,negated_conjecture,
( c0_1(a270)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
cnf(clause84,negated_conjecture,
( c3_1(a270)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(clause120,negated_conjecture,
( ~ c3_1(a275)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause118,negated_conjecture,
( ~ c0_1(a275)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
cnf(clause119,negated_conjecture,
( ~ c2_1(a275)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(clause168,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp27
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
cnf(clause134,negated_conjecture,
( ~ c3_1(a267)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
cnf(clause133,negated_conjecture,
( ~ c2_1(a267)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
cnf(clause87,negated_conjecture,
( c0_1(a267)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
cnf(clause121,negated_conjecture,
( ~ c3_1(a274)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
cnf(clause79,negated_conjecture,
( c1_1(a274)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
cnf(clause101,negated_conjecture,
( ~ c3_1(a305)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
cnf(clause100,negated_conjecture,
( ~ c0_1(a305)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
cnf(clause145,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp27
| hskp19
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
cnf(clause143,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp1
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
cnf(clause148,negated_conjecture,
( c1_1(X1)
| hskp29
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
cnf(clause150,negated_conjecture,
( c1_1(X1)
| hskp22
| hskp0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
cnf(clause132,negated_conjecture,
( ~ c2_1(a268)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause131,negated_conjecture,
( ~ c1_1(a268)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(clause82,negated_conjecture,
( c0_1(a272)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
cnf(clause86,negated_conjecture,
( c3_1(a268)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
cnf(clause62,negated_conjecture,
( c2_1(a303)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
cnf(clause61,negated_conjecture,
( c1_1(a303)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
cnf(clause78,negated_conjecture,
( c0_1(a274)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
cnf(clause90,negated_conjecture,
( ~ c2_1(a356)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
cnf(clause56,negated_conjecture,
( c0_1(a311)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(clause57,negated_conjecture,
( c2_1(a311)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(clause98,negated_conjecture,
( ~ c3_1(a311)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
cnf(clause130,negated_conjecture,
( ~ c2_1(a269)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
cnf(clause85,negated_conjecture,
( c0_1(a269)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
cnf(clause129,negated_conjecture,
( ~ c1_1(a269)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
cnf(clause88,negated_conjecture,
( ~ c0_1(a356)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
cnf(clause89,negated_conjecture,
( ~ c1_1(a356)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(clause47,negated_conjecture,
( c2_1(a304)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(clause45,negated_conjecture,
( c0_1(a304)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(clause46,negated_conjecture,
( c1_1(a304)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause127,negated_conjecture,
( ~ c3_1(a271)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
cnf(clause125,negated_conjecture,
( ~ c0_1(a271)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
cnf(clause126,negated_conjecture,
( ~ c1_1(a271)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
cnf(clause184,negated_conjecture,
( c1_1(X2)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
cnf(clause182,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
cnf(clause181,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
cnf(clause180,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
cnf(clause178,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
cnf(clause177,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
cnf(clause176,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
cnf(clause175,negated_conjecture,
( c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
cnf(clause167,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp6
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
cnf(clause172,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp8
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
cnf(clause166,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
cnf(clause165,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp7
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
cnf(clause159,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp3
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
cnf(clause161,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
cnf(clause157,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp2
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
cnf(clause60,negated_conjecture,
( c1_1(a305)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(clause41,negated_conjecture,
( hskp12
| hskp1
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(c_0_85,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
clause1 ).
cnf(c_0_86,negated_conjecture,
( hskp30
| hskp14
| hskp17 ),
clause36 ).
cnf(c_0_87,negated_conjecture,
( ndr1_0
| ~ hskp17 ),
clause14 ).
cnf(c_0_88,negated_conjecture,
( ndr1_0
| ~ hskp14 ),
clause17 ).
fof(c_0_89,plain,
( ~ epred48_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_90,plain,
( ~ epred17_0
<=> ! [X2] :
( hskp27
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_91,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_88]) ).
fof(c_0_92,plain,
( ~ epred38_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
( epred48_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_89]) ).
cnf(c_0_94,negated_conjecture,
( c3_1(a276)
| ~ hskp27 ),
clause53 ).
cnf(c_0_95,negated_conjecture,
( c2_1(a276)
| ~ hskp27 ),
clause52 ).
cnf(c_0_96,negated_conjecture,
( c1_1(a276)
| ~ hskp27 ),
clause51 ).
cnf(c_0_97,negated_conjecture,
( epred17_0
| c2_1(X1)
| c0_1(X1)
| hskp27
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_90]),c_0_91])]) ).
cnf(c_0_98,negated_conjecture,
( c1_1(a287)
| ~ hskp14 ),
clause70 ).
cnf(c_0_99,negated_conjecture,
( ~ c0_1(a287)
| ~ hskp14 ),
clause108 ).
cnf(c_0_100,negated_conjecture,
( ~ c2_1(a287)
| ~ hskp14 ),
clause109 ).
cnf(c_0_101,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp14
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause137 ).
fof(c_0_102,plain,
( ~ epred18_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_103,plain,
( ~ epred27_0
<=> ! [X2] :
( hskp6
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_104,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp9
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause136 ).
cnf(c_0_105,negated_conjecture,
( ~ c3_1(a352)
| ~ hskp25 ),
clause92 ).
cnf(c_0_106,negated_conjecture,
( epred38_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_92]) ).
cnf(c_0_107,negated_conjecture,
( c1_1(a352)
| ~ hskp25 ),
clause54 ).
cnf(c_0_108,negated_conjecture,
( ~ c2_1(a352)
| ~ hskp25 ),
clause91 ).
cnf(c_0_109,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp8
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause138 ).
fof(c_0_110,plain,
( ~ epred33_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_111,negated_conjecture,
( epred48_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]) ).
cnf(c_0_112,negated_conjecture,
( epred17_0
| hskp27
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_113,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp14
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_91])]) ).
cnf(c_0_114,negated_conjecture,
( c2_1(a284)
| ~ hskp12 ),
clause73 ).
cnf(c_0_115,negated_conjecture,
( ~ c0_1(a284)
| ~ hskp12 ),
clause111 ).
cnf(c_0_116,negated_conjecture,
( ~ c3_1(a284)
| ~ hskp12 ),
clause112 ).
fof(c_0_117,plain,
( ~ epred44_0
<=> ! [X3] :
( c0_1(X3)
| ~ c2_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_118,negated_conjecture,
( epred18_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_102]) ).
cnf(c_0_119,negated_conjecture,
( c3_1(a280)
| ~ hskp9 ),
clause77 ).
cnf(c_0_120,negated_conjecture,
( c2_1(a280)
| ~ hskp9 ),
clause76 ).
cnf(c_0_121,negated_conjecture,
( epred27_0
| c1_1(X1)
| c0_1(X1)
| hskp6
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_103]),c_0_91])]) ).
cnf(c_0_122,negated_conjecture,
( ~ c1_1(a280)
| ~ hskp9 ),
clause117 ).
cnf(c_0_123,negated_conjecture,
( c2_1(X1)
| c0_1(X1)
| hskp9
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_91])]) ).
cnf(c_0_124,negated_conjecture,
( epred38_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108]) ).
cnf(c_0_125,negated_conjecture,
( hskp14
| hskp25
| hskp12 ),
clause40 ).
fof(c_0_126,plain,
( ~ epred15_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_127,plain,
( ~ epred7_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_128,plain,
( ~ epred40_0
<=> ! [X2] :
( c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_129,plain,
( ~ epred35_0
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_130,plain,
( ~ epred6_0
<=> ! [X2] :
( hskp5
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_131,plain,
( ~ epred26_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_132,plain,
( ~ epred16_0
<=> ! [X2] :
( hskp1
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_133,plain,
( ~ epred10_0
<=> ! [X1] :
( hskp3
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_134,plain,
( ~ epred2_0
<=> ! [X1] :
( c0_1(X1)
| c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_135,negated_conjecture,
( c1_1(X1)
| c2_1(X1)
| hskp8
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_91])]) ).
cnf(c_0_136,negated_conjecture,
( epred33_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_110]) ).
fof(c_0_137,plain,
( ~ epred41_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_138,plain,
( ~ epred32_0
<=> ! [X1] :
( c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_139,plain,
( ~ epred37_0
<=> ! [X3] :
( c2_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_140,negated_conjecture,
( epred48_0
| epred17_0
| ~ hskp14 ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_141,negated_conjecture,
( hskp14
| ~ hskp12 ),
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_142,negated_conjecture,
( epred44_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_117]) ).
cnf(c_0_143,negated_conjecture,
( c2_1(a273)
| ~ hskp6 ),
clause81 ).
cnf(c_0_144,negated_conjecture,
( c1_1(a273)
| ~ hskp6 ),
clause80 ).
cnf(c_0_145,negated_conjecture,
( ~ c0_1(a273)
| ~ hskp6 ),
clause122 ).
cnf(c_0_146,negated_conjecture,
( epred18_0
| ~ c0_1(a280)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_147,negated_conjecture,
( epred27_0
| c0_1(a280)
| hskp6
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_119]),c_0_122]) ).
cnf(c_0_148,negated_conjecture,
( hskp9
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_149,negated_conjecture,
( epred38_0
| hskp12
| hskp14 ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
fof(c_0_150,plain,
( ~ epred47_0
<=> ! [X3] :
( c1_1(X3)
| ~ c0_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_151,negated_conjecture,
( epred15_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_126]) ).
cnf(c_0_152,negated_conjecture,
( epred7_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
fof(c_0_153,plain,
( ~ epred43_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_154,negated_conjecture,
( epred40_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_91])]) ).
cnf(c_0_155,negated_conjecture,
( ~ c3_1(a272)
| ~ hskp5 ),
clause124 ).
cnf(c_0_156,negated_conjecture,
( epred35_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_129]),c_0_91])]) ).
cnf(c_0_157,negated_conjecture,
( ~ c1_1(a272)
| ~ hskp5 ),
clause123 ).
cnf(c_0_158,negated_conjecture,
( epred6_0
| c1_1(X1)
| c0_1(X1)
| hskp5
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_130]),c_0_91])]) ).
cnf(c_0_159,negated_conjecture,
( ~ c2_1(a270)
| ~ hskp3 ),
clause128 ).
cnf(c_0_160,negated_conjecture,
( epred26_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_131]) ).
cnf(c_0_161,negated_conjecture,
( c0_1(a270)
| ~ hskp3 ),
clause83 ).
cnf(c_0_162,negated_conjecture,
( epred16_0
| c1_1(X1)
| hskp1
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_132]),c_0_91])]) ).
cnf(c_0_163,negated_conjecture,
( c3_1(a270)
| ~ hskp3 ),
clause84 ).
cnf(c_0_164,negated_conjecture,
( epred10_0
| c1_1(X1)
| c0_1(X1)
| hskp3
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_133]),c_0_91])]) ).
cnf(c_0_165,negated_conjecture,
( ~ c3_1(a275)
| ~ hskp8 ),
clause120 ).
cnf(c_0_166,negated_conjecture,
( epred2_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_134]) ).
cnf(c_0_167,negated_conjecture,
( ~ c0_1(a275)
| ~ hskp8 ),
clause118 ).
cnf(c_0_168,negated_conjecture,
( ~ c2_1(a275)
| ~ hskp8 ),
clause119 ).
fof(c_0_169,plain,
( ~ epred1_0
<=> ! [X2] :
( hskp2
| c0_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_170,plain,
( ~ epred36_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_171,negated_conjecture,
( epred33_0
| c1_1(X1)
| c2_1(X1)
| hskp8 ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
fof(c_0_172,plain,
( ~ epred34_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_173,negated_conjecture,
( epred41_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_137]) ).
cnf(c_0_174,negated_conjecture,
( epred32_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_138]),c_0_91])]) ).
cnf(c_0_175,negated_conjecture,
( epred37_0
| c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_139]),c_0_91])]) ).
cnf(c_0_176,negated_conjecture,
( c0_1(X2)
| c2_1(X2)
| hskp27
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause168 ).
cnf(c_0_177,negated_conjecture,
( epred48_0
| epred17_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_178,negated_conjecture,
( epred44_0
| ~ hskp6 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]) ).
cnf(c_0_179,negated_conjecture,
( epred27_0
| epred18_0
| hskp6
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_180,negated_conjecture,
( hskp9
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_148,c_0_141]) ).
cnf(c_0_181,negated_conjecture,
( epred38_0
| hskp9
| hskp12 ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_182,negated_conjecture,
( epred47_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_150]) ).
fof(c_0_183,plain,
( ~ epred9_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_184,negated_conjecture,
( epred38_0
| epred15_0
| c2_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_106]) ).
cnf(c_0_185,negated_conjecture,
( epred7_0
| ~ c0_1(a352)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_152]),c_0_108]) ).
cnf(c_0_186,negated_conjecture,
( c0_1(a352)
| hskp9
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_107]),c_0_108]) ).
fof(c_0_187,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_188,plain,
( ~ epred42_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_189,plain,
( ~ epred5_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_190,plain,
( ~ epred20_0
<=> ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_191,negated_conjecture,
( ~ c3_1(a267)
| ~ hskp0 ),
clause134 ).
cnf(c_0_192,negated_conjecture,
( ~ c2_1(a267)
| ~ hskp0 ),
clause133 ).
cnf(c_0_193,negated_conjecture,
( epred43_0
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_153]),c_0_91])]) ).
cnf(c_0_194,negated_conjecture,
( c0_1(a267)
| ~ hskp0 ),
clause87 ).
cnf(c_0_195,negated_conjecture,
( epred40_0
| ~ c0_1(a280)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_119]),c_0_122]) ).
cnf(c_0_196,negated_conjecture,
( epred35_0
| ~ c2_1(a272)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_197,negated_conjecture,
( epred33_0
| c2_1(a272)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_136]),c_0_157]) ).
cnf(c_0_198,negated_conjecture,
( epred6_0
| c0_1(a280)
| hskp5
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_120]),c_0_122]) ).
cnf(c_0_199,negated_conjecture,
( epred26_0
| ~ c1_1(a270)
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).
cnf(c_0_200,negated_conjecture,
( epred16_0
| c1_1(a270)
| hskp1
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_161]) ).
cnf(c_0_201,negated_conjecture,
( epred16_0
| hskp1
| ~ c0_1(a280)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_119]),c_0_122]) ).
cnf(c_0_202,negated_conjecture,
( epred10_0
| c0_1(a280)
| hskp3
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_119]),c_0_122]) ).
cnf(c_0_203,negated_conjecture,
( epred2_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_168]) ).
cnf(c_0_204,negated_conjecture,
( epred1_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_169]),c_0_91])]) ).
fof(c_0_205,plain,
( ~ epred31_0
<=> ! [X2] :
( hskp0
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_206,negated_conjecture,
( ~ c3_1(a274)
| ~ hskp7 ),
clause121 ).
cnf(c_0_207,negated_conjecture,
( c1_1(a274)
| ~ hskp7 ),
clause79 ).
cnf(c_0_208,negated_conjecture,
( epred36_0
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_170]) ).
cnf(c_0_209,negated_conjecture,
( epred33_0
| c1_1(a275)
| c2_1(a275) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_136]),c_0_171]) ).
cnf(c_0_210,negated_conjecture,
( ~ c3_1(a305)
| ~ hskp20 ),
clause101 ).
cnf(c_0_211,negated_conjecture,
( ~ c0_1(a305)
| ~ hskp20 ),
clause100 ).
cnf(c_0_212,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp27
| hskp19
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause145 ).
cnf(c_0_213,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| hskp1
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause143 ).
cnf(c_0_214,negated_conjecture,
( c1_1(X1)
| hskp29
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause148 ).
cnf(c_0_215,negated_conjecture,
( c1_1(X1)
| hskp22
| hskp0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause150 ).
fof(c_0_216,plain,
( ~ epred45_0
<=> ! [X3] :
( c2_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_217,negated_conjecture,
( ~ c2_1(a268)
| ~ hskp1 ),
clause132 ).
cnf(c_0_218,negated_conjecture,
( ~ c1_1(a268)
| ~ hskp1 ),
clause131 ).
cnf(c_0_219,negated_conjecture,
( epred34_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_220,negated_conjecture,
( epred41_0
| ~ c0_1(a352)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_173]),c_0_107]) ).
cnf(c_0_221,negated_conjecture,
( epred17_0
| c0_1(a352)
| hskp27
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_107]),c_0_108]) ).
cnf(c_0_222,negated_conjecture,
( epred37_0
| epred32_0
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_223,negated_conjecture,
( c0_1(a272)
| ~ hskp5 ),
clause82 ).
cnf(c_0_224,negated_conjecture,
( epred32_0
| ~ c0_1(a280)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_120]),c_0_122]) ).
cnf(c_0_225,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_176,c_0_90]),c_0_102]) ).
cnf(c_0_226,negated_conjecture,
( epred48_0
| epred38_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_149]),c_0_177]) ).
cnf(c_0_227,negated_conjecture,
( epred44_0
| epred27_0
| epred18_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_228,negated_conjecture,
( epred38_0
| hskp9 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_229,negated_conjecture,
( epred47_0
| ~ c0_1(a280)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_120]),c_0_122]) ).
cnf(c_0_230,negated_conjecture,
( epred9_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_183]) ).
fof(c_0_231,plain,
( ~ epred14_0
<=> ! [X2] :
( hskp7
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_232,negated_conjecture,
( epred38_0
| epred15_0
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_184]),c_0_107]) ).
cnf(c_0_233,negated_conjecture,
( epred38_0
| epred15_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_184]),c_0_98]) ).
cnf(c_0_234,negated_conjecture,
( epred7_0
| hskp9
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_235,negated_conjecture,
( c3_1(a268)
| ~ hskp1 ),
clause86 ).
cnf(c_0_236,negated_conjecture,
( epred47_0
| epred37_0
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_175]) ).
cnf(c_0_237,negated_conjecture,
( epred22_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_187]) ).
cnf(c_0_238,negated_conjecture,
( c2_1(a303)
| ~ hskp19 ),
clause62 ).
cnf(c_0_239,negated_conjecture,
( c1_1(a303)
| ~ hskp19 ),
clause61 ).
cnf(c_0_240,negated_conjecture,
( epred42_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_188]) ).
cnf(c_0_241,negated_conjecture,
( epred5_0
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_189]) ).
cnf(c_0_242,negated_conjecture,
( c0_1(a274)
| ~ hskp7 ),
clause78 ).
cnf(c_0_243,negated_conjecture,
( epred20_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_190]) ).
fof(c_0_244,plain,
( ~ epred25_0
<=> ! [X2] :
( hskp8
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_245,negated_conjecture,
( epred38_0
| ~ c1_1(a267)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_106]),c_0_192]) ).
cnf(c_0_246,negated_conjecture,
( epred43_0
| c1_1(a267)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_193]),c_0_194]) ).
cnf(c_0_247,negated_conjecture,
( epred40_0
| epred27_0
| hskp6
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_195,c_0_147]) ).
cnf(c_0_248,negated_conjecture,
( epred35_0
| epred33_0
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_249,negated_conjecture,
( epred40_0
| epred6_0
| hskp5
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_195,c_0_198]) ).
cnf(c_0_250,negated_conjecture,
( epred18_0
| epred6_0
| hskp5
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_146,c_0_198]) ).
cnf(c_0_251,negated_conjecture,
( epred26_0
| epred16_0
| hskp1
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_252,negated_conjecture,
( epred16_0
| epred10_0
| hskp1
| hskp3
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_253,negated_conjecture,
( ~ c2_1(a356)
| ~ hskp26 ),
clause90 ).
cnf(c_0_254,negated_conjecture,
( epred2_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_166]),c_0_203]) ).
cnf(c_0_255,negated_conjecture,
( epred1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp2
| hskp8 ),
inference(spm,[status(thm)],[c_0_135,c_0_204]) ).
cnf(c_0_256,negated_conjecture,
( epred31_0
| c3_1(X1)
| hskp0
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_205]),c_0_91])]) ).
cnf(c_0_257,negated_conjecture,
( epred38_0
| c2_1(a274)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_106]),c_0_207]) ).
cnf(c_0_258,negated_conjecture,
( epred36_0
| epred1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp2 ),
inference(spm,[status(thm)],[c_0_208,c_0_204]) ).
cnf(c_0_259,negated_conjecture,
( epred33_0
| c1_1(a275)
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_168,c_0_209]) ).
cnf(c_0_260,negated_conjecture,
( epred2_0
| c2_1(a305)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_166]),c_0_211]) ).
cnf(c_0_261,negated_conjecture,
( epred1_0
| c1_1(a275)
| hskp2
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_204]),c_0_167]) ).
cnf(c_0_262,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp19
| hskp27
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_91])]) ).
cnf(c_0_263,negated_conjecture,
( c0_1(a311)
| ~ hskp22 ),
clause56 ).
cnf(c_0_264,negated_conjecture,
( c3_1(X1)
| c0_1(X1)
| hskp1
| hskp4
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_91])]) ).
cnf(c_0_265,negated_conjecture,
( c1_1(X1)
| hskp20
| hskp29
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_91])]) ).
cnf(c_0_266,negated_conjecture,
( c2_1(a311)
| ~ hskp22 ),
clause57 ).
cnf(c_0_267,negated_conjecture,
( c1_1(X1)
| hskp0
| hskp22
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_91])]) ).
cnf(c_0_268,negated_conjecture,
( epred45_0
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_216]),c_0_91])]) ).
cnf(c_0_269,negated_conjecture,
( ~ c3_1(a311)
| ~ hskp22 ),
clause98 ).
cnf(c_0_270,negated_conjecture,
( ~ c2_1(a269)
| ~ hskp2 ),
clause130 ).
cnf(c_0_271,negated_conjecture,
( c0_1(a269)
| ~ hskp2 ),
clause85 ).
cnf(c_0_272,negated_conjecture,
( ~ c1_1(a269)
| ~ hskp2 ),
clause129 ).
cnf(c_0_273,negated_conjecture,
( epred37_0
| ~ c0_1(a268)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_175]),c_0_218]) ).
cnf(c_0_274,negated_conjecture,
( epred34_0
| c0_1(a268)
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_219]),c_0_218]) ).
cnf(c_0_275,negated_conjecture,
( epred26_0
| ~ c1_1(a267)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_160]),c_0_194]) ).
cnf(c_0_276,negated_conjecture,
( epred37_0
| c1_1(a267)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_175]),c_0_194]) ).
cnf(c_0_277,negated_conjecture,
( epred41_0
| epred17_0
| hskp27
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_278,negated_conjecture,
( epred37_0
| epred32_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_157]) ).
cnf(c_0_279,negated_conjecture,
( epred32_0
| epred6_0
| hskp5
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_224,c_0_198]) ).
cnf(c_0_280,negated_conjecture,
( epred48_0
| epred38_0
| ~ epred18_0 ),
inference(spm,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_281,negated_conjecture,
( epred44_0
| epred38_0
| epred27_0
| epred18_0 ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
cnf(c_0_282,negated_conjecture,
( epred47_0
| epred27_0
| hskp6
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_229,c_0_147]) ).
cnf(c_0_283,negated_conjecture,
( epred9_0
| c0_1(a280)
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_120]),c_0_122]) ).
cnf(c_0_284,negated_conjecture,
( epred14_0
| c1_1(X1)
| c2_1(X1)
| hskp7
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_231]),c_0_91])]) ).
cnf(c_0_285,negated_conjecture,
( epred38_0
| epred15_0
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_125]),c_0_233]) ).
cnf(c_0_286,negated_conjecture,
( epred7_0
| hskp9
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_125]),c_0_148]) ).
cnf(c_0_287,negated_conjecture,
( hskp8
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_235]),c_0_217]),c_0_218]) ).
cnf(c_0_288,negated_conjecture,
( epred47_0
| epred37_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_223]),c_0_157]) ).
cnf(c_0_289,negated_conjecture,
( epred47_0
| epred6_0
| hskp5
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_229,c_0_198]) ).
cnf(c_0_290,negated_conjecture,
( epred22_0
| ~ c0_1(a276)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_95]),c_0_96]) ).
cnf(c_0_291,negated_conjecture,
( epred44_0
| c0_1(a276)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_95]),c_0_96]) ).
cnf(c_0_292,negated_conjecture,
( epred22_0
| ~ c0_1(a303)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).
cnf(c_0_293,negated_conjecture,
( epred44_0
| c0_1(a303)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_238]),c_0_239]) ).
cnf(c_0_294,negated_conjecture,
( epred44_0
| ~ c1_1(a284)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_114]),c_0_115]) ).
cnf(c_0_295,negated_conjecture,
( epred1_0
| c1_1(a284)
| hskp2
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_204]),c_0_115]) ).
cnf(c_0_296,negated_conjecture,
( epred42_0
| ~ c1_1(a275)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_240]),c_0_167]) ).
cnf(c_0_297,negated_conjecture,
( epred5_0
| ~ c2_1(a274)
| ~ hskp7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_241]),c_0_242]) ).
cnf(c_0_298,negated_conjecture,
( epred38_0
| ~ c1_1(a275)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_106]),c_0_168]) ).
cnf(c_0_299,negated_conjecture,
( ~ c0_1(a356)
| ~ hskp26 ),
clause88 ).
cnf(c_0_300,negated_conjecture,
( ~ c1_1(a356)
| ~ hskp26 ),
clause89 ).
cnf(c_0_301,negated_conjecture,
( c2_1(a304)
| ~ hskp29 ),
clause47 ).
cnf(c_0_302,negated_conjecture,
( c0_1(a304)
| ~ hskp29 ),
clause45 ).
cnf(c_0_303,negated_conjecture,
( c1_1(a304)
| ~ hskp29 ),
clause46 ).
cnf(c_0_304,negated_conjecture,
( epred20_0
| ~ c1_1(a284)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_243]),c_0_114]) ).
cnf(c_0_305,negated_conjecture,
( ~ c3_1(a271)
| ~ hskp4 ),
clause127 ).
cnf(c_0_306,negated_conjecture,
( ~ c0_1(a271)
| ~ hskp4 ),
clause125 ).
cnf(c_0_307,negated_conjecture,
( ~ c1_1(a271)
| ~ hskp4 ),
clause126 ).
cnf(c_0_308,negated_conjecture,
( epred25_0
| c1_1(X1)
| hskp8
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_244]),c_0_91])]) ).
cnf(c_0_309,negated_conjecture,
( c1_1(X2)
| c1_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X3)
| ~ c2_1(X3) ),
clause184 ).
cnf(c_0_310,negated_conjecture,
( c3_1(X1)
| c2_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X3) ),
clause182 ).
cnf(c_0_311,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X3)
| ~ c2_1(X3) ),
clause181 ).
cnf(c_0_312,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X3) ),
clause180 ).
cnf(c_0_313,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c2_1(X2)
| c3_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X3) ),
clause178 ).
cnf(c_0_314,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause177 ).
cnf(c_0_315,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause176 ).
cnf(c_0_316,negated_conjecture,
( c3_1(X2)
| hskp0
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ),
clause175 ).
cnf(c_0_317,negated_conjecture,
( c0_1(X2)
| c1_1(X2)
| hskp6
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause167 ).
cnf(c_0_318,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| hskp8
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2) ),
clause172 ).
cnf(c_0_319,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| hskp1
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause166 ).
cnf(c_0_320,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c2_1(X2)
| hskp7
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause165 ).
cnf(c_0_321,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp3
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause159 ).
cnf(c_0_322,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp5
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause161 ).
cnf(c_0_323,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp2
| ~ ndr1_0 ),
clause157 ).
cnf(c_0_324,negated_conjecture,
( epred38_0
| epred43_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_325,negated_conjecture,
( epred44_0
| epred40_0
| epred27_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_178,c_0_247]) ).
cnf(c_0_326,negated_conjecture,
( epred35_0
| epred33_0
| epred40_0
| epred6_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_327,negated_conjecture,
( epred35_0
| epred33_0
| epred18_0
| epred6_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_248,c_0_250]) ).
cnf(c_0_328,negated_conjecture,
( epred26_0
| epred16_0
| hskp1
| epred10_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_329,negated_conjecture,
( epred2_0
| c1_1(a356)
| c0_1(a356)
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_330,negated_conjecture,
( epred1_0
| c1_1(a356)
| c0_1(a356)
| hskp2
| hskp8
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_253,c_0_255]) ).
cnf(c_0_331,negated_conjecture,
( epred31_0
| c3_1(a274)
| hskp0
| epred38_0
| ~ c0_1(a274)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_332,negated_conjecture,
( epred22_0
| epred38_0
| ~ c1_1(a274)
| ~ c0_1(a274)
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_237,c_0_257]) ).
cnf(c_0_333,negated_conjecture,
( epred36_0
| epred1_0
| c1_1(a356)
| c0_1(a356)
| hskp2
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_253,c_0_258]) ).
cnf(c_0_334,negated_conjecture,
( epred17_0
| c2_1(a275)
| c0_1(a275)
| hskp27
| epred33_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_97,c_0_259]) ).
cnf(c_0_335,negated_conjecture,
( epred44_0
| c0_1(a305)
| epred2_0
| ~ c1_1(a305)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_142,c_0_260]) ).
cnf(c_0_336,negated_conjecture,
( c2_1(a275)
| c0_1(a275)
| hskp9
| epred1_0
| hskp2
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_123,c_0_261]) ).
cnf(c_0_337,negated_conjecture,
( c1_1(a311)
| c3_1(a311)
| hskp19
| hskp27
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_262,c_0_263]) ).
cnf(c_0_338,negated_conjecture,
( c3_1(a284)
| c0_1(a284)
| hskp1
| hskp4
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_264,c_0_114]) ).
cnf(c_0_339,negated_conjecture,
( c1_1(a311)
| hskp20
| hskp29
| ~ c0_1(a311)
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_340,negated_conjecture,
( c1_1(a280)
| hskp0
| hskp22
| ~ c2_1(a280)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_267,c_0_119]) ).
cnf(c_0_341,negated_conjecture,
( epred45_0
| c1_1(a268)
| c2_1(a268)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_268,c_0_235]) ).
cnf(c_0_342,negated_conjecture,
( epred43_0
| c1_1(a311)
| ~ hskp22
| ~ c0_1(a311) ),
inference(spm,[status(thm)],[c_0_269,c_0_193]) ).
cnf(c_0_343,negated_conjecture,
( epred37_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_175]),c_0_271]),c_0_272]) ).
cnf(c_0_344,negated_conjecture,
( epred37_0
| epred34_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_273,c_0_274]) ).
cnf(c_0_345,negated_conjecture,
( epred37_0
| epred26_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_346,negated_conjecture,
( epred41_0
| epred17_0
| hskp12
| hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_125]),c_0_112]) ).
cnf(c_0_347,negated_conjecture,
( epred37_0
| epred32_0
| epred6_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_348,negated_conjecture,
( epred31_0
| hskp0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_266]),c_0_263]),c_0_269]) ).
cnf(c_0_349,negated_conjecture,
( epred48_0
| epred44_0
| epred38_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_350,negated_conjecture,
( epred47_0
| epred44_0
| epred27_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_178,c_0_282]) ).
cnf(c_0_351,negated_conjecture,
( epred16_0
| epred9_0
| hskp1
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_201,c_0_283]) ).
cnf(c_0_352,negated_conjecture,
( epred14_0
| hskp7
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_271]),c_0_270]),c_0_272]) ).
cnf(c_0_353,negated_conjecture,
( epred38_0
| epred15_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_141]),c_0_285]) ).
cnf(c_0_354,negated_conjecture,
( epred7_0
| hskp9 ),
inference(spm,[status(thm)],[c_0_180,c_0_286]) ).
cnf(c_0_355,negated_conjecture,
( epred2_0
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_203,c_0_287]) ).
cnf(c_0_356,negated_conjecture,
( epred47_0
| epred37_0
| epred6_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_357,negated_conjecture,
( epred44_0
| epred22_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_358,negated_conjecture,
( epred44_0
| epred22_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_292,c_0_293]) ).
cnf(c_0_359,negated_conjecture,
( epred44_0
| epred1_0
| hskp2
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_294,c_0_295]) ).
cnf(c_0_360,negated_conjecture,
( epred42_0
| epred1_0
| hskp2
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_296,c_0_261]) ).
cnf(c_0_361,negated_conjecture,
( epred38_0
| epred5_0
| ~ hskp7 ),
inference(spm,[status(thm)],[c_0_297,c_0_257]) ).
cnf(c_0_362,negated_conjecture,
( epred38_0
| epred1_0
| hskp2
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_298,c_0_261]) ).
cnf(c_0_363,negated_conjecture,
( epred36_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_235]),c_0_217]),c_0_218]) ).
cnf(c_0_364,negated_conjecture,
( epred34_0
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_219]),c_0_299]),c_0_300]) ).
cnf(c_0_365,negated_conjecture,
( epred22_0
| ~ hskp29 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_301]),c_0_302]),c_0_303]) ).
cnf(c_0_366,negated_conjecture,
( epred22_0
| ~ c1_1(a311)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_266]),c_0_263]) ).
cnf(c_0_367,negated_conjecture,
( epred20_0
| epred1_0
| hskp2
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_304,c_0_295]) ).
cnf(c_0_368,negated_conjecture,
( epred7_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_152]),c_0_194]),c_0_192]) ).
cnf(c_0_369,negated_conjecture,
( epred5_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_241]),c_0_263]),c_0_266]) ).
cnf(c_0_370,negated_conjecture,
( epred1_0
| hskp2
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_204]),c_0_306]),c_0_307]) ).
cnf(c_0_371,negated_conjecture,
( epred25_0
| hskp8
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_119]),c_0_122]) ).
cnf(c_0_372,negated_conjecture,
( ~ epred48_0
| ~ epred47_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_309,c_0_128]),c_0_150]),c_0_89]) ).
cnf(c_0_373,negated_conjecture,
( ~ epred45_0
| ~ epred26_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_310,c_0_216]),c_0_190]),c_0_131]) ).
cnf(c_0_374,negated_conjecture,
( ~ epred44_0
| ~ epred43_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_311,c_0_153]),c_0_189]),c_0_117]) ).
cnf(c_0_375,negated_conjecture,
( ~ epred42_0
| ~ epred41_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_312,c_0_128]),c_0_137]),c_0_188]) ).
cnf(c_0_376,negated_conjecture,
( ~ epred38_0
| ~ epred37_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_313,c_0_139]),c_0_92]),c_0_127]) ).
cnf(c_0_377,negated_conjecture,
( ~ epred36_0
| ~ epred35_0
| ~ epred34_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_314,c_0_129]),c_0_170]),c_0_172]) ).
cnf(c_0_378,negated_conjecture,
( ~ epred34_0
| ~ epred33_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_315,c_0_138]),c_0_110]),c_0_172]) ).
cnf(c_0_379,negated_conjecture,
( ~ epred31_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_316,c_0_205]),c_0_187]) ).
cnf(c_0_380,negated_conjecture,
( ~ epred27_0
| ~ epred22_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_317,c_0_103]),c_0_187]) ).
cnf(c_0_381,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_318,c_0_109]),c_0_244]),c_0_131]) ).
cnf(c_0_382,negated_conjecture,
( ~ epred16_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_319,c_0_132]),c_0_127]) ).
cnf(c_0_383,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_320,c_0_231]),c_0_126]) ).
cnf(c_0_384,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_321,c_0_133]),c_0_183]) ).
cnf(c_0_385,negated_conjecture,
( ~ epred7_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_322,c_0_130]),c_0_127]) ).
cnf(c_0_386,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_323,c_0_169]),c_0_134]) ).
cnf(c_0_387,negated_conjecture,
( c1_1(a305)
| ~ hskp20 ),
clause60 ).
cnf(c_0_388,negated_conjecture,
( hskp12
| hskp1
| hskp26 ),
clause41 ).
cnf(c_0_389,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_324,c_0_325,c_0_326,c_0_327,c_0_328,c_0_329,c_0_330,c_0_331,c_0_332,c_0_333,c_0_334,c_0_335,c_0_336,c_0_337,c_0_338,c_0_339,c_0_340,c_0_341,c_0_342,c_0_343,c_0_344,c_0_345,c_0_346,c_0_347,c_0_348,c_0_349,c_0_350,c_0_351,c_0_352,c_0_353,c_0_354,c_0_228,c_0_180,c_0_355,c_0_287,c_0_356,c_0_111,c_0_357,c_0_358,c_0_359,c_0_360,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,c_0_369,c_0_203,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_225,c_0_382,c_0_383,c_0_384,c_0_385,c_0_386,c_0_218,c_0_217,c_0_206,c_0_168,c_0_167,c_0_122,c_0_116,c_0_115,c_0_211,c_0_269,c_0_300,c_0_299,c_0_207,c_0_387,c_0_120,c_0_242,c_0_263,c_0_388]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN462-1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n027.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 21:15:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 1.25/1.43 % Version : CSE_E---1.5
% 1.25/1.43 % Problem : theBenchmark.p
% 1.25/1.43 % Proof found
% 1.25/1.43 % SZS status Theorem for theBenchmark.p
% 1.25/1.43 % SZS output start Proof
% See solution above
% 1.25/1.45 % Total time : 0.842000 s
% 1.25/1.45 % SZS output end Proof
% 1.25/1.45 % Total time : 0.847000 s
%------------------------------------------------------------------------------