%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN505-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:34:36 PM UTC 2026
% Result : Unsatisfiable 12.42s 2.23s
% Output : CNFRefutation 12.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 160
% Syntax : Number of formulae : 618 ( 2 unt; 0 def)
% Number of atoms : 2340 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2902 (1180 ~;1680 |; 0 &)
% ( 42 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 74 ( 73 usr; 70 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 285 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause13,negated_conjecture,
( ~ hskp19
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
cnf(clause1,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause22,negated_conjecture,
( ~ hskp10
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
cnf(clause35,negated_conjecture,
( hskp10
| hskp19
| hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
cnf(clause102,negated_conjecture,
( ~ hskp22
| ~ c2_1(a519) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause101,negated_conjecture,
( ~ hskp22
| ~ c0_1(a519) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause62,negated_conjecture,
( ~ hskp22
| c1_1(a519) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause116,negated_conjecture,
( ~ hskp13
| ~ c2_1(a482) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
cnf(clause75,negated_conjecture,
( ~ hskp13
| c3_1(a482) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(clause115,negated_conjecture,
( ~ hskp13
| ~ c1_1(a482) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
cnf(clause72,negated_conjecture,
( ~ hskp15
| c2_1(a484) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause71,negated_conjecture,
( ~ hskp15
| c0_1(a484) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause89,negated_conjecture,
( ~ hskp1
| c2_1(a463) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause137,negated_conjecture,
( ~ hskp1
| ~ c1_1(a463) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
cnf(clause138,negated_conjecture,
( ~ hskp1
| ~ c3_1(a463) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
cnf(clause43,negated_conjecture,
( hskp13
| hskp1
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause80,negated_conjecture,
( ~ hskp9
| c2_1(a477) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause122,negated_conjecture,
( ~ hskp9
| ~ c1_1(a477) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause52,negated_conjecture,
( ~ hskp29
| c2_1(a474) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause50,negated_conjecture,
( ~ hskp29
| c0_1(a474) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause51,negated_conjecture,
( ~ hskp29
| c1_1(a474) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause58,negated_conjecture,
( ~ hskp25
| c1_1(a545) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause96,negated_conjecture,
( ~ hskp25
| ~ c0_1(a545) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause73,negated_conjecture,
( ~ hskp14
| c1_1(a483) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause114,negated_conjecture,
( ~ hskp14
| ~ c0_1(a483) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
cnf(clause183,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause57,negated_conjecture,
( ~ hskp26
| c1_1(a559) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause56,negated_conjecture,
( ~ hskp26
| c0_1(a559) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause91,negated_conjecture,
( ~ hskp0
| c2_1(a462) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause90,negated_conjecture,
( ~ hskp0
| c0_1(a462) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause139,negated_conjecture,
( ~ hskp0
| ~ c1_1(a462) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
cnf(clause88,negated_conjecture,
( ~ hskp2
| c3_1(a464) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause136,negated_conjecture,
( ~ hskp2
| ~ c2_1(a464) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
cnf(clause127,negated_conjecture,
( ~ hskp6
| ~ c2_1(a470) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause126,negated_conjecture,
( ~ hskp6
| ~ c1_1(a470) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause184,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(clause195,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause33,negated_conjecture,
( hskp9
| hskp15
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause54,negated_conjecture,
( ~ hskp28
| c2_1(a469) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
cnf(clause53,negated_conjecture,
( ~ hskp28
| c0_1(a469) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
cnf(clause74,negated_conjecture,
( ~ hskp14
| c2_1(a483) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause113,negated_conjecture,
( ~ hskp15
| ~ c3_1(a484) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause106,negated_conjecture,
( ~ hskp19
| ~ c2_1(a500) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(clause107,negated_conjecture,
( ~ hskp19
| ~ c3_1(a500) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(clause66,negated_conjecture,
( ~ hskp19
| c1_1(a500) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(clause99,negated_conjecture,
( ~ hskp23
| ~ c2_1(a521) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause98,negated_conjecture,
( ~ hskp23
| ~ c0_1(a521) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause100,negated_conjecture,
( ~ hskp23
| ~ c3_1(a521) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause202,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
cnf(clause39,negated_conjecture,
( hskp25
| hskp14
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause45,negated_conjecture,
( ~ hskp31
| c1_1(a529) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause44,negated_conjecture,
( ~ hskp31
| c0_1(a529) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause46,negated_conjecture,
( ~ hskp31
| c3_1(a529) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause108,negated_conjecture,
( ~ hskp18
| ~ c2_1(a494) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(clause109,negated_conjecture,
( ~ hskp18
| ~ c3_1(a494) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause67,negated_conjecture,
( ~ hskp18
| c0_1(a494) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause161,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp30
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
cnf(clause85,negated_conjecture,
( ~ hskp7
| c3_1(a471) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(clause84,negated_conjecture,
( ~ hskp7
| c0_1(a471) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause97,negated_conjecture,
( ~ hskp24
| ~ c2_1(a525) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause60,negated_conjecture,
( ~ hskp24
| c0_1(a525) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause112,negated_conjecture,
( ~ hskp16
| ~ c2_1(a487) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause70,negated_conjecture,
( ~ hskp16
| c0_1(a487) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause68,negated_conjecture,
( ~ hskp17
| c2_1(a493) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause69,negated_conjecture,
( ~ hskp17
| c3_1(a493) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause147,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp18
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(clause148,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| hskp17
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
cnf(clause146,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp7
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
cnf(clause155,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp1
| hskp30
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
cnf(clause162,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp18
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause167,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(clause164,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(clause87,negated_conjecture,
( ~ hskp3
| c3_1(a465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(clause133,negated_conjecture,
( ~ hskp3
| ~ c0_1(a465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause134,negated_conjecture,
( ~ hskp3
| ~ c1_1(a465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause79,negated_conjecture,
( ~ hskp10
| c2_1(a478) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause120,negated_conjecture,
( ~ hskp10
| ~ c0_1(a478) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause121,negated_conjecture,
( ~ hskp10
| ~ c3_1(a478) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause125,negated_conjecture,
( ~ hskp6
| ~ c0_1(a470) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause135,negated_conjecture,
( ~ hskp2
| ~ c0_1(a464) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
cnf(clause37,negated_conjecture,
( hskp23
| hskp2
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause191,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause48,negated_conjecture,
( ~ hskp30
| c2_1(a488) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause47,negated_conjecture,
( ~ hskp30
| c1_1(a488) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause76,negated_conjecture,
( ~ hskp12
| c1_1(a481) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(clause124,negated_conjecture,
( ~ hskp7
| ~ c2_1(a471) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause49,negated_conjecture,
( ~ hskp30
| c3_1(a488) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause78,negated_conjecture,
( ~ hskp11
| c3_1(a479) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause81,negated_conjecture,
( ~ hskp9
| c3_1(a477) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause117,negated_conjecture,
( ~ hskp12
| ~ c0_1(a481) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause118,negated_conjecture,
( ~ hskp12
| ~ c3_1(a481) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause111,negated_conjecture,
( ~ hskp16
| ~ c1_1(a487) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
cnf(clause110,negated_conjecture,
( ~ hskp17
| ~ c0_1(a493) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause207,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).
cnf(clause206,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).
cnf(clause204,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
cnf(clause203,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
cnf(clause199,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
cnf(clause194,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause192,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause189,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause188,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp28
| c1_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
cnf(clause193,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause182,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
cnf(clause185,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause181,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp0
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
cnf(clause180,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp2
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
cnf(clause177,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(clause173,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
cnf(clause172,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp16
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
cnf(clause187,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X2)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
cnf(clause179,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(clause119,negated_conjecture,
( ~ hskp11
| ~ c1_1(a479) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause61,negated_conjecture,
( ~ hskp24
| c1_1(a525) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause77,negated_conjecture,
( ~ hskp11
| c0_1(a479) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(clause40,negated_conjecture,
( hskp9
| hskp12
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause34,negated_conjecture,
( hskp3
| hskp12
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause38,negated_conjecture,
( hskp10
| hskp30
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(c_0_118,negated_conjecture,
( ~ hskp19
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause13]) ).
cnf(c_0_119,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause1]) ).
cnf(c_0_120,negated_conjecture,
( ~ hskp10
| ndr1_0 ),
inference(fof_simplification,[status(thm)],[clause22]) ).
cnf(c_0_121,negated_conjecture,
( ~ hskp19
| ndr1_0 ),
c_0_118 ).
cnf(c_0_122,negated_conjecture,
( hskp10
| hskp19
| hskp31 ),
clause35 ).
cnf(c_0_123,negated_conjecture,
( ~ hskp31
| ndr1_0 ),
c_0_119 ).
cnf(c_0_124,negated_conjecture,
( ~ hskp10
| ndr1_0 ),
c_0_120 ).
cnf(c_0_125,negated_conjecture,
( ~ hskp22
| ~ c2_1(a519) ),
inference(fof_simplification,[status(thm)],[clause102]) ).
fof(c_0_126,plain,
( ~ epred12_0
<=> ! [X2] :
( ~ c3_1(X2)
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_127,negated_conjecture,
( ~ hskp22
| ~ c0_1(a519) ),
inference(fof_simplification,[status(thm)],[clause101]) ).
fof(c_0_128,plain,
( ~ epred26_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp13 ) ),
introduced(definition) ).
cnf(c_0_129,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( ~ hskp22
| c1_1(a519) ),
inference(fof_simplification,[status(thm)],[clause62]) ).
cnf(c_0_131,negated_conjecture,
( ~ hskp22
| ~ c2_1(a519) ),
c_0_125 ).
cnf(c_0_132,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( ~ hskp22
| ~ c0_1(a519) ),
c_0_127 ).
cnf(c_0_134,negated_conjecture,
( ~ c1_1(X1)
| hskp13
| c0_1(X1)
| c3_1(X1)
| epred26_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_128]),c_0_129])]) ).
cnf(c_0_135,negated_conjecture,
( ~ hskp22
| c1_1(a519) ),
c_0_130 ).
cnf(c_0_136,negated_conjecture,
( ~ hskp13
| ~ c2_1(a482) ),
inference(fof_simplification,[status(thm)],[clause116]) ).
fof(c_0_137,plain,
( ~ epred58_0
<=> ! [X3] :
( ~ c3_1(X3)
| c2_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
cnf(c_0_138,negated_conjecture,
( ~ hskp13
| c3_1(a482) ),
inference(fof_simplification,[status(thm)],[clause75]) ).
cnf(c_0_139,negated_conjecture,
( ~ hskp13
| ~ c1_1(a482) ),
inference(fof_simplification,[status(thm)],[clause115]) ).
cnf(c_0_140,negated_conjecture,
( ~ hskp22
| ~ c3_1(a519)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_141,negated_conjecture,
( ~ hskp22
| hskp13
| c3_1(a519)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_133]) ).
fof(c_0_142,plain,
( ~ epred4_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_143,negated_conjecture,
( ~ hskp15
| c2_1(a484) ),
inference(fof_simplification,[status(thm)],[clause72]) ).
cnf(c_0_144,negated_conjecture,
( ~ hskp15
| c0_1(a484) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
fof(c_0_145,plain,
( ~ epred27_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_146,plain,
( ~ epred25_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_147,plain,
( ~ epred48_0
<=> ! [X1] :
( ~ c1_1(X1)
| c3_1(X1)
| c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_148,plain,
( ~ epred54_0
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_149,negated_conjecture,
( ~ hskp1
| c2_1(a463) ),
inference(fof_simplification,[status(thm)],[clause89]) ).
cnf(c_0_150,negated_conjecture,
( ~ hskp1
| ~ c1_1(a463) ),
inference(fof_simplification,[status(thm)],[clause137]) ).
cnf(c_0_151,negated_conjecture,
( ~ hskp1
| ~ c3_1(a463) ),
inference(fof_simplification,[status(thm)],[clause138]) ).
cnf(c_0_152,negated_conjecture,
( ~ hskp13
| ~ c2_1(a482) ),
c_0_136 ).
cnf(c_0_153,negated_conjecture,
( ~ c3_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred58_0 ),
inference(split_equiv,[status(thm)],[c_0_137]) ).
cnf(c_0_154,negated_conjecture,
( ~ hskp13
| c3_1(a482) ),
c_0_138 ).
cnf(c_0_155,negated_conjecture,
( ~ hskp13
| ~ c1_1(a482) ),
c_0_139 ).
cnf(c_0_156,negated_conjecture,
( ~ hskp22
| hskp13
| epred12_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_157,negated_conjecture,
( hskp13
| hskp1
| hskp22 ),
clause43 ).
cnf(c_0_158,negated_conjecture,
( ~ hskp9
| c2_1(a477) ),
inference(fof_simplification,[status(thm)],[clause80]) ).
cnf(c_0_159,negated_conjecture,
( ~ hskp9
| ~ c1_1(a477) ),
inference(fof_simplification,[status(thm)],[clause122]) ).
fof(c_0_160,plain,
( ~ epred52_0
<=> ! [X3] :
( ~ c2_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_161,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_142]) ).
cnf(c_0_162,negated_conjecture,
( ~ hskp15
| c2_1(a484) ),
c_0_143 ).
cnf(c_0_163,negated_conjecture,
( ~ hskp15
| c0_1(a484) ),
c_0_144 ).
cnf(c_0_164,negated_conjecture,
( ~ c0_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred27_0 ),
inference(split_equiv,[status(thm)],[c_0_145]) ).
cnf(c_0_165,negated_conjecture,
( ~ hskp29
| c2_1(a474) ),
inference(fof_simplification,[status(thm)],[clause52]) ).
cnf(c_0_166,negated_conjecture,
( ~ hskp29
| c0_1(a474) ),
inference(fof_simplification,[status(thm)],[clause50]) ).
cnf(c_0_167,negated_conjecture,
( ~ hskp29
| c1_1(a474) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
fof(c_0_168,plain,
( ~ epred53_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1) ) ),
introduced(definition) ).
cnf(c_0_169,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c0_1(X1)
| epred25_0 ),
inference(split_equiv,[status(thm)],[c_0_146]) ).
cnf(c_0_170,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c3_1(X1)
| epred48_0 ),
inference(split_equiv,[status(thm)],[c_0_147]) ).
cnf(c_0_171,negated_conjecture,
( ~ hskp25
| c1_1(a545) ),
inference(fof_simplification,[status(thm)],[clause58]) ).
cnf(c_0_172,negated_conjecture,
( ~ hskp25
| ~ c0_1(a545) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_173,negated_conjecture,
( ~ hskp14
| c1_1(a483) ),
inference(fof_simplification,[status(thm)],[clause73]) ).
cnf(c_0_174,negated_conjecture,
( ~ hskp14
| ~ c0_1(a483) ),
inference(fof_simplification,[status(thm)],[clause114]) ).
cnf(c_0_175,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause183]) ).
cnf(c_0_176,negated_conjecture,
( ~ c2_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred54_0 ),
inference(split_equiv,[status(thm)],[c_0_148]) ).
cnf(c_0_177,negated_conjecture,
( ~ hskp1
| c2_1(a463) ),
c_0_149 ).
cnf(c_0_178,negated_conjecture,
( ~ hskp1
| ~ c1_1(a463) ),
c_0_150 ).
cnf(c_0_179,negated_conjecture,
( ~ hskp1
| ~ c3_1(a463) ),
c_0_151 ).
cnf(c_0_180,negated_conjecture,
( ~ hskp13
| epred58_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_155]) ).
cnf(c_0_181,negated_conjecture,
( hskp13
| hskp1
| epred12_0
| epred26_0 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_182,negated_conjecture,
( ~ hskp9
| c2_1(a477) ),
c_0_158 ).
cnf(c_0_183,negated_conjecture,
( ~ hskp9
| ~ c1_1(a477) ),
c_0_159 ).
cnf(c_0_184,negated_conjecture,
( ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred52_0 ),
inference(split_equiv,[status(thm)],[c_0_160]) ).
cnf(c_0_185,negated_conjecture,
( ~ hskp15
| ~ c1_1(a484)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).
cnf(c_0_186,negated_conjecture,
( ~ hskp15
| c1_1(a484)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_162]),c_0_163]) ).
cnf(c_0_187,negated_conjecture,
( ~ hskp29
| c2_1(a474) ),
c_0_165 ).
cnf(c_0_188,negated_conjecture,
( ~ hskp29
| c0_1(a474) ),
c_0_166 ).
cnf(c_0_189,negated_conjecture,
( ~ hskp29
| c1_1(a474) ),
c_0_167 ).
cnf(c_0_190,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| c2_1(X1)
| epred53_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_168]),c_0_129])]) ).
cnf(c_0_191,negated_conjecture,
( ~ hskp26
| c1_1(a559) ),
inference(fof_simplification,[status(thm)],[clause57]) ).
cnf(c_0_192,negated_conjecture,
( ~ hskp26
| c0_1(a559) ),
inference(fof_simplification,[status(thm)],[clause56]) ).
cnf(c_0_193,negated_conjecture,
( ~ hskp0
| c2_1(a462) ),
inference(fof_simplification,[status(thm)],[clause91]) ).
cnf(c_0_194,negated_conjecture,
( ~ hskp0
| c0_1(a462) ),
inference(fof_simplification,[status(thm)],[clause90]) ).
cnf(c_0_195,negated_conjecture,
( ~ hskp0
| ~ c1_1(a462) ),
inference(fof_simplification,[status(thm)],[clause139]) ).
cnf(c_0_196,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| epred25_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_197,negated_conjecture,
( ~ hskp25
| c1_1(a545) ),
c_0_171 ).
cnf(c_0_198,negated_conjecture,
( ~ hskp25
| ~ c0_1(a545) ),
c_0_172 ).
cnf(c_0_199,negated_conjecture,
( ~ hskp14
| c1_1(a483) ),
c_0_173 ).
cnf(c_0_200,negated_conjecture,
( ~ hskp14
| ~ c0_1(a483) ),
c_0_174 ).
fof(c_0_201,plain,
( ~ epred28_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp10 ) ),
introduced(definition) ).
cnf(c_0_202,negated_conjecture,
( ~ hskp2
| c3_1(a464) ),
inference(fof_simplification,[status(thm)],[clause88]) ).
cnf(c_0_203,negated_conjecture,
( ~ hskp2
| ~ c2_1(a464) ),
inference(fof_simplification,[status(thm)],[clause136]) ).
cnf(c_0_204,negated_conjecture,
( ~ hskp6
| ~ c2_1(a470) ),
inference(fof_simplification,[status(thm)],[clause127]) ).
cnf(c_0_205,negated_conjecture,
( ~ hskp6
| ~ c1_1(a470) ),
inference(fof_simplification,[status(thm)],[clause126]) ).
fof(c_0_206,plain,
( ~ epred18_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| hskp2 ) ),
introduced(definition) ).
cnf(c_0_207,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause184]) ).
cnf(c_0_208,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp10
| c2_1(X2)
| c0_1(X2)
| c2_1(X1) ),
c_0_175 ).
cnf(c_0_209,negated_conjecture,
( ~ hskp1
| epred54_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]),c_0_179]) ).
cnf(c_0_210,negated_conjecture,
( hskp1
| epred12_0
| epred26_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_211,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c1_1(X2) ),
inference(fof_simplification,[status(thm)],[clause195]) ).
cnf(c_0_212,negated_conjecture,
( ~ hskp9
| ~ c0_1(a477)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_182]),c_0_183]) ).
cnf(c_0_213,negated_conjecture,
( ~ hskp9
| c0_1(a477)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_182]),c_0_183]) ).
cnf(c_0_214,negated_conjecture,
( ~ hskp15
| epred4_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_215,negated_conjecture,
( hskp9
| hskp15
| hskp29 ),
clause33 ).
cnf(c_0_216,negated_conjecture,
( ~ hskp29
| epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_187]),c_0_188]),c_0_189]) ).
cnf(c_0_217,negated_conjecture,
( ~ hskp28
| c2_1(a469) ),
inference(fof_simplification,[status(thm)],[clause54]) ).
cnf(c_0_218,negated_conjecture,
( ~ hskp28
| c0_1(a469) ),
inference(fof_simplification,[status(thm)],[clause53]) ).
fof(c_0_219,plain,
( ~ epred35_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_220,negated_conjecture,
( ~ hskp14
| c2_1(a483) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
fof(c_0_221,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_222,negated_conjecture,
( ~ hskp15
| ~ c3_1(a484) ),
inference(fof_simplification,[status(thm)],[clause113]) ).
cnf(c_0_223,negated_conjecture,
( ~ hskp19
| ~ c2_1(a500) ),
inference(fof_simplification,[status(thm)],[clause106]) ).
fof(c_0_224,plain,
( ~ epred3_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_225,negated_conjecture,
( ~ hskp19
| ~ c3_1(a500) ),
inference(fof_simplification,[status(thm)],[clause107]) ).
cnf(c_0_226,negated_conjecture,
( ~ hskp19
| c1_1(a500) ),
inference(fof_simplification,[status(thm)],[clause66]) ).
cnf(c_0_227,negated_conjecture,
( ~ hskp23
| ~ c2_1(a521) ),
inference(fof_simplification,[status(thm)],[clause99]) ).
fof(c_0_228,plain,
( ~ epred47_0
<=> ! [X3] :
( c2_1(X3)
| c3_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_229,negated_conjecture,
( ~ hskp23
| ~ c0_1(a521) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_230,negated_conjecture,
( ~ hskp23
| ~ c3_1(a521) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_231,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_190]) ).
cnf(c_0_232,negated_conjecture,
( ~ hskp26
| c1_1(a559) ),
c_0_191 ).
cnf(c_0_233,negated_conjecture,
( ~ hskp26
| c0_1(a559) ),
c_0_192 ).
cnf(c_0_234,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause202]) ).
cnf(c_0_235,negated_conjecture,
( ~ hskp0
| c2_1(a462) ),
c_0_193 ).
cnf(c_0_236,negated_conjecture,
( ~ hskp0
| c0_1(a462) ),
c_0_194 ).
cnf(c_0_237,negated_conjecture,
( ~ hskp0
| ~ c1_1(a462) ),
c_0_195 ).
cnf(c_0_238,negated_conjecture,
( ~ hskp25
| epred25_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]) ).
cnf(c_0_239,negated_conjecture,
( hskp25
| hskp14
| hskp0 ),
clause39 ).
cnf(c_0_240,negated_conjecture,
( ~ hskp14
| epred25_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_199]),c_0_200]) ).
fof(c_0_241,plain,
( ~ epred32_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| hskp29 ) ),
introduced(definition) ).
cnf(c_0_242,negated_conjecture,
( ~ hskp31
| c1_1(a529) ),
inference(fof_simplification,[status(thm)],[clause45]) ).
cnf(c_0_243,negated_conjecture,
( ~ hskp31
| c0_1(a529) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
fof(c_0_244,plain,
( ~ epred29_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c0_1(X2)
| hskp6 ) ),
introduced(definition) ).
cnf(c_0_245,negated_conjecture,
( ~ hskp31
| c3_1(a529) ),
inference(fof_simplification,[status(thm)],[clause46]) ).
cnf(c_0_246,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp10
| c2_1(X1)
| epred28_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_129])]) ).
cnf(c_0_247,negated_conjecture,
( ~ hskp2
| c3_1(a464) ),
c_0_202 ).
cnf(c_0_248,negated_conjecture,
( ~ hskp2
| ~ c2_1(a464) ),
c_0_203 ).
cnf(c_0_249,negated_conjecture,
( ~ hskp6
| ~ c2_1(a470) ),
c_0_204 ).
cnf(c_0_250,negated_conjecture,
( ~ hskp6
| ~ c1_1(a470) ),
c_0_205 ).
cnf(c_0_251,negated_conjecture,
( hskp2
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred18_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_206]),c_0_129])]) ).
cnf(c_0_252,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp13
| c3_1(X2)
| c0_1(X2)
| c1_1(X1) ),
c_0_207 ).
cnf(c_0_253,negated_conjecture,
( ~ epred12_0
| ~ epred28_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_208,c_0_201]),c_0_126]) ).
cnf(c_0_254,negated_conjecture,
( epred12_0
| epred26_0
| epred54_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
fof(c_0_255,plain,
( ~ epred42_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| c1_1(X2)
| hskp18 ) ),
introduced(definition) ).
cnf(c_0_256,negated_conjecture,
( ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp18
| c1_1(X2) ),
c_0_211 ).
cnf(c_0_257,negated_conjecture,
( ~ hskp9
| epred27_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_258,negated_conjecture,
( hskp9
| epred4_0
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216]) ).
cnf(c_0_259,negated_conjecture,
( ~ hskp18
| ~ c2_1(a494) ),
inference(fof_simplification,[status(thm)],[clause108]) ).
cnf(c_0_260,negated_conjecture,
( ~ hskp18
| ~ c3_1(a494) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
fof(c_0_261,plain,
( ~ epred11_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1)
| hskp29 ) ),
introduced(definition) ).
cnf(c_0_262,negated_conjecture,
( ~ hskp18
| c0_1(a494) ),
inference(fof_simplification,[status(thm)],[clause67]) ).
cnf(c_0_263,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp30
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause161]) ).
fof(c_0_264,plain,
( ~ epred51_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_265,negated_conjecture,
( ~ hskp7
| c3_1(a471) ),
inference(fof_simplification,[status(thm)],[clause85]) ).
cnf(c_0_266,negated_conjecture,
( ~ hskp7
| c0_1(a471) ),
inference(fof_simplification,[status(thm)],[clause84]) ).
fof(c_0_267,plain,
( ~ epred5_0
<=> ! [X2] :
( ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_268,negated_conjecture,
( ~ hskp24
| ~ c2_1(a525) ),
inference(fof_simplification,[status(thm)],[clause97]) ).
cnf(c_0_269,negated_conjecture,
( ~ hskp24
| c0_1(a525) ),
inference(fof_simplification,[status(thm)],[clause60]) ).
cnf(c_0_270,negated_conjecture,
( ~ hskp16
| ~ c2_1(a487) ),
inference(fof_simplification,[status(thm)],[clause112]) ).
cnf(c_0_271,negated_conjecture,
( ~ hskp16
| c0_1(a487) ),
inference(fof_simplification,[status(thm)],[clause70]) ).
fof(c_0_272,plain,
( ~ epred19_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_273,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ c1_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_274,plain,
( ~ epred46_0
<=> ! [X2] :
( ~ c1_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_275,negated_conjecture,
( ~ hskp17
| c2_1(a493) ),
inference(fof_simplification,[status(thm)],[clause68]) ).
cnf(c_0_276,negated_conjecture,
( ~ hskp17
| c3_1(a493) ),
inference(fof_simplification,[status(thm)],[clause69]) ).
fof(c_0_277,plain,
( ~ epred8_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_278,plain,
( ~ epred6_0
<=> ! [X1] :
( ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_279,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_280,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp18
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause147]) ).
cnf(c_0_281,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| hskp17
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause148]) ).
cnf(c_0_282,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp7
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause146]) ).
cnf(c_0_283,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp1
| hskp30
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause155]) ).
cnf(c_0_284,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp18
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause162]) ).
cnf(c_0_285,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp24 ),
inference(fof_simplification,[status(thm)],[clause167]) ).
cnf(c_0_286,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp14 ),
inference(fof_simplification,[status(thm)],[clause164]) ).
cnf(c_0_287,negated_conjecture,
( ~ hskp28
| c2_1(a469) ),
c_0_217 ).
cnf(c_0_288,negated_conjecture,
( ~ hskp28
| c0_1(a469) ),
c_0_218 ).
fof(c_0_289,plain,
( ~ epred34_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c0_1(X2)
| hskp28 ) ),
introduced(definition) ).
cnf(c_0_290,negated_conjecture,
( ~ hskp3
| c3_1(a465) ),
inference(fof_simplification,[status(thm)],[clause87]) ).
cnf(c_0_291,negated_conjecture,
( ~ hskp3
| ~ c0_1(a465) ),
inference(fof_simplification,[status(thm)],[clause133]) ).
cnf(c_0_292,negated_conjecture,
( ~ hskp3
| ~ c1_1(a465) ),
inference(fof_simplification,[status(thm)],[clause134]) ).
cnf(c_0_293,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred35_0 ),
inference(split_equiv,[status(thm)],[c_0_219]) ).
cnf(c_0_294,negated_conjecture,
( ~ hskp14
| c2_1(a483) ),
c_0_220 ).
cnf(c_0_295,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c3_1(X1)
| epred33_0 ),
inference(split_equiv,[status(thm)],[c_0_221]) ).
fof(c_0_296,plain,
( ~ epred24_0
<=> ! [X2] :
( ~ c2_1(X2)
| ~ ndr1_0
| c3_1(X2)
| c0_1(X2)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_297,negated_conjecture,
( ~ hskp10
| c2_1(a478) ),
inference(fof_simplification,[status(thm)],[clause79]) ).
cnf(c_0_298,negated_conjecture,
( ~ hskp10
| ~ c0_1(a478) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_299,negated_conjecture,
( ~ hskp10
| ~ c3_1(a478) ),
inference(fof_simplification,[status(thm)],[clause121]) ).
fof(c_0_300,plain,
( ~ epred22_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp0 ) ),
introduced(definition) ).
cnf(c_0_301,negated_conjecture,
( ~ hskp6
| ~ c0_1(a470) ),
inference(fof_simplification,[status(thm)],[clause125]) ).
cnf(c_0_302,negated_conjecture,
( ~ hskp2
| ~ c0_1(a464) ),
inference(fof_simplification,[status(thm)],[clause135]) ).
cnf(c_0_303,negated_conjecture,
( ~ hskp15
| ~ c3_1(a484) ),
c_0_222 ).
fof(c_0_304,plain,
( ~ epred39_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_305,negated_conjecture,
( ~ hskp19
| ~ c2_1(a500) ),
c_0_223 ).
cnf(c_0_306,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_224]),c_0_129])]) ).
cnf(c_0_307,negated_conjecture,
( ~ hskp19
| ~ c3_1(a500) ),
c_0_225 ).
cnf(c_0_308,negated_conjecture,
( ~ hskp19
| c1_1(a500) ),
c_0_226 ).
cnf(c_0_309,negated_conjecture,
( ~ hskp23
| ~ c2_1(a521) ),
c_0_227 ).
cnf(c_0_310,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred47_0 ),
inference(split_equiv,[status(thm)],[c_0_228]) ).
cnf(c_0_311,negated_conjecture,
( ~ hskp23
| ~ c0_1(a521) ),
c_0_229 ).
cnf(c_0_312,negated_conjecture,
( ~ hskp23
| ~ c3_1(a521) ),
c_0_230 ).
cnf(c_0_313,negated_conjecture,
( ~ hskp26
| epred4_0
| epred53_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]) ).
cnf(c_0_314,negated_conjecture,
( hskp23
| hskp2
| hskp26 ),
clause37 ).
cnf(c_0_315,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause191]) ).
fof(c_0_316,plain,
( ~ epred50_0
<=> ! [X3] :
( ~ ndr1_0
| c3_1(X3)
| c1_1(X3)
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_317,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c1_1(X3)
| c0_1(X3)
| c0_1(X2)
| c1_1(X1) ),
c_0_234 ).
cnf(c_0_318,negated_conjecture,
( ~ hskp0
| epred27_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_235]),c_0_236]),c_0_237]) ).
cnf(c_0_319,negated_conjecture,
( hskp0
| epred25_0
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).
cnf(c_0_320,negated_conjecture,
( ~ hskp30
| c2_1(a488) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_321,negated_conjecture,
( ~ hskp30
| c1_1(a488) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
fof(c_0_322,plain,
( ~ epred59_0
<=> ! [X3] :
( ~ c2_1(X3)
| ~ c3_1(X3)
| ~ ndr1_0
| c0_1(X3) ) ),
introduced(definition) ).
cnf(c_0_323,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X1)
| epred32_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_241]),c_0_129])]) ).
cnf(c_0_324,negated_conjecture,
( ~ hskp31
| c1_1(a529) ),
c_0_242 ).
cnf(c_0_325,negated_conjecture,
( ~ hskp31
| c0_1(a529) ),
c_0_243 ).
cnf(c_0_326,negated_conjecture,
( hskp6
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred29_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_244]),c_0_129])]) ).
cnf(c_0_327,negated_conjecture,
( ~ hskp12
| c1_1(a481) ),
inference(fof_simplification,[status(thm)],[clause76]) ).
cnf(c_0_328,negated_conjecture,
( ~ hskp31
| c3_1(a529) ),
c_0_245 ).
cnf(c_0_329,negated_conjecture,
( ~ hskp2
| ~ c1_1(a464)
| hskp10
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]) ).
cnf(c_0_330,negated_conjecture,
( ~ hskp2
| c1_1(a464)
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_153]),c_0_247]) ).
cnf(c_0_331,negated_conjecture,
( ~ hskp6
| ~ c3_1(a470)
| epred58_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_153]),c_0_250]) ).
cnf(c_0_332,negated_conjecture,
( ~ hskp6
| hskp2
| c3_1(a470)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_251]),c_0_250]) ).
cnf(c_0_333,negated_conjecture,
( ~ epred26_0
| ~ epred27_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_252,c_0_128]),c_0_145]) ).
cnf(c_0_334,negated_conjecture,
( ~ epred28_0
| epred26_0
| epred54_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_335,negated_conjecture,
( ~ epred4_0
| ~ epred42_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_256,c_0_255]),c_0_142]) ).
cnf(c_0_336,negated_conjecture,
( epred4_0
| epred27_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_257,c_0_258]) ).
fof(c_0_337,plain,
( ~ epred38_0
<=> ! [X2] :
( ~ c0_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c3_1(X2)
| hskp6 ) ),
introduced(definition) ).
fof(c_0_338,plain,
( ~ epred7_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1)
| hskp14 ) ),
introduced(definition) ).
cnf(c_0_339,negated_conjecture,
( ~ hskp18
| ~ c2_1(a494) ),
c_0_259 ).
cnf(c_0_340,negated_conjecture,
( ~ hskp18
| ~ c3_1(a494) ),
c_0_260 ).
cnf(c_0_341,negated_conjecture,
( ~ c0_1(X1)
| hskp29
| c1_1(X1)
| c2_1(X1)
| epred11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_261]),c_0_129])]) ).
cnf(c_0_342,negated_conjecture,
( ~ hskp18
| c0_1(a494) ),
c_0_262 ).
cnf(c_0_343,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp12
| hskp30
| c3_1(X1) ),
c_0_263 ).
cnf(c_0_344,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| c1_1(X1)
| epred51_0 ),
inference(split_equiv,[status(thm)],[c_0_264]) ).
cnf(c_0_345,negated_conjecture,
( ~ hskp7
| c3_1(a471) ),
c_0_265 ).
cnf(c_0_346,negated_conjecture,
( ~ hskp7
| c0_1(a471) ),
c_0_266 ).
cnf(c_0_347,negated_conjecture,
( hskp16
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_267]),c_0_129])]) ).
cnf(c_0_348,negated_conjecture,
( ~ hskp24
| ~ c2_1(a525) ),
c_0_268 ).
cnf(c_0_349,negated_conjecture,
( ~ hskp24
| c0_1(a525) ),
c_0_269 ).
cnf(c_0_350,negated_conjecture,
( ~ hskp16
| ~ c2_1(a487) ),
c_0_270 ).
cnf(c_0_351,negated_conjecture,
( ~ hskp16
| c0_1(a487) ),
c_0_271 ).
cnf(c_0_352,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c1_1(X1)
| epred19_0 ),
inference(split_equiv,[status(thm)],[c_0_272]) ).
cnf(c_0_353,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_273]) ).
cnf(c_0_354,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| c2_1(X1)
| epred46_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_274]),c_0_129])]) ).
cnf(c_0_355,negated_conjecture,
( ~ hskp17
| c2_1(a493) ),
c_0_275 ).
cnf(c_0_356,negated_conjecture,
( ~ hskp17
| c3_1(a493) ),
c_0_276 ).
cnf(c_0_357,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_277]) ).
cnf(c_0_358,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_278]) ).
cnf(c_0_359,negated_conjecture,
( ~ c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_279]),c_0_129])]) ).
cnf(c_0_360,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp19
| hskp18
| c2_1(X1)
| c1_1(X1) ),
c_0_280 ).
cnf(c_0_361,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp9
| hskp17
| c2_1(X1)
| c1_1(X1) ),
c_0_281 ).
cnf(c_0_362,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| hskp16
| hskp7
| c3_1(X1)
| c0_1(X1) ),
c_0_282 ).
cnf(c_0_363,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp1
| hskp30
| c0_1(X1) ),
c_0_283 ).
cnf(c_0_364,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp17
| hskp18
| c3_1(X1) ),
c_0_284 ).
cnf(c_0_365,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp24 ),
c_0_285 ).
cnf(c_0_366,negated_conjecture,
( ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp10
| hskp14 ),
c_0_286 ).
cnf(c_0_367,negated_conjecture,
( ~ hskp7
| ~ c2_1(a471) ),
inference(fof_simplification,[status(thm)],[clause124]) ).
fof(c_0_368,plain,
( ~ epred49_0
<=> ! [X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1)
| c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_369,plain,
( ~ epred43_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| c0_1(X2)
| hskp16 ) ),
introduced(definition) ).
cnf(c_0_370,negated_conjecture,
( ~ hskp30
| c3_1(a488) ),
inference(fof_simplification,[status(thm)],[clause49]) ).
cnf(c_0_371,negated_conjecture,
( ~ hskp11
| c3_1(a479) ),
inference(fof_simplification,[status(thm)],[clause78]) ).
cnf(c_0_372,negated_conjecture,
( ~ hskp9
| c3_1(a477) ),
inference(fof_simplification,[status(thm)],[clause81]) ).
fof(c_0_373,plain,
( ~ epred37_0
<=> ! [X2] :
( ~ c3_1(X2)
| ~ ndr1_0
| c2_1(X2)
| c0_1(X2)
| hskp11 ) ),
introduced(definition) ).
fof(c_0_374,plain,
( ~ epred36_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| c2_1(X1)
| hskp12 ) ),
introduced(definition) ).
cnf(c_0_375,negated_conjecture,
( ~ hskp28
| ~ c1_1(a469)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_287]),c_0_288]) ).
cnf(c_0_376,negated_conjecture,
( ~ hskp28
| c1_1(a469)
| epred27_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_287]),c_0_288]) ).
cnf(c_0_377,negated_conjecture,
( ~ c3_1(X1)
| hskp28
| c0_1(X1)
| c1_1(X1)
| epred34_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_289]),c_0_129])]) ).
cnf(c_0_378,negated_conjecture,
( ~ hskp3
| c3_1(a465) ),
c_0_290 ).
cnf(c_0_379,negated_conjecture,
( ~ hskp3
| ~ c0_1(a465) ),
c_0_291 ).
cnf(c_0_380,negated_conjecture,
( ~ hskp3
| ~ c1_1(a465) ),
c_0_292 ).
cnf(c_0_381,negated_conjecture,
( ~ hskp12
| ~ c0_1(a481) ),
inference(fof_simplification,[status(thm)],[clause117]) ).
cnf(c_0_382,negated_conjecture,
( ~ hskp12
| ~ c3_1(a481) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_383,negated_conjecture,
( ~ hskp14
| ~ c3_1(a483)
| epred35_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_199]) ).
cnf(c_0_384,negated_conjecture,
( ~ hskp14
| c3_1(a483)
| epred33_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_294]),c_0_199]) ).
cnf(c_0_385,negated_conjecture,
( ~ c2_1(X1)
| hskp14
| c0_1(X1)
| c3_1(X1)
| epred24_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_296]),c_0_129])]) ).
cnf(c_0_386,negated_conjecture,
( ~ hskp10
| c2_1(a478) ),
c_0_297 ).
cnf(c_0_387,negated_conjecture,
( ~ hskp10
| ~ c0_1(a478) ),
c_0_298 ).
cnf(c_0_388,negated_conjecture,
( ~ hskp10
| ~ c3_1(a478) ),
c_0_299 ).
cnf(c_0_389,negated_conjecture,
( ~ c1_1(X1)
| hskp0
| c3_1(X1)
| c2_1(X1)
| epred22_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_300]),c_0_129])]) ).
cnf(c_0_390,negated_conjecture,
( ~ hskp6
| ~ c0_1(a470) ),
c_0_301 ).
cnf(c_0_391,negated_conjecture,
( ~ hskp2
| ~ c0_1(a464) ),
c_0_302 ).
cnf(c_0_392,negated_conjecture,
( ~ hskp15
| c1_1(a484)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_162]),c_0_303]) ).
cnf(c_0_393,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| epred39_0 ),
inference(split_equiv,[status(thm)],[c_0_304]) ).
cnf(c_0_394,negated_conjecture,
( ~ hskp19
| ~ c0_1(a500)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307]) ).
cnf(c_0_395,negated_conjecture,
( ~ hskp19
| c0_1(a500)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_170]),c_0_308]) ).
cnf(c_0_396,negated_conjecture,
( ~ hskp23
| epred47_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311]),c_0_312]) ).
cnf(c_0_397,negated_conjecture,
( hskp23
| hskp2
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
fof(c_0_398,plain,
( ~ epred30_0
<=> ! [X1] :
( ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition) ).
cnf(c_0_399,negated_conjecture,
( ~ c2_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| hskp12
| c1_1(X2)
| c2_1(X1) ),
c_0_315 ).
cnf(c_0_400,negated_conjecture,
( ~ epred25_0
| ~ epred50_0
| ~ epred51_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_317,c_0_316]),c_0_264]),c_0_146]) ).
cnf(c_0_401,negated_conjecture,
( epred25_0
| epred27_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_318,c_0_319]) ).
fof(c_0_402,plain,
( ~ epred23_0
<=> ! [X2] :
( ~ c0_1(X2)
| c2_1(X2)
| c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_403,negated_conjecture,
( ~ hskp30
| c2_1(a488) ),
c_0_320 ).
cnf(c_0_404,negated_conjecture,
( ~ hskp30
| c1_1(a488) ),
c_0_321 ).
cnf(c_0_405,negated_conjecture,
( ~ hskp16
| ~ c1_1(a487) ),
inference(fof_simplification,[status(thm)],[clause111]) ).
cnf(c_0_406,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| epred59_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_322]),c_0_129])]) ).
cnf(c_0_407,negated_conjecture,
( ~ hskp17
| ~ c0_1(a493) ),
inference(fof_simplification,[status(thm)],[clause110]) ).
cnf(c_0_408,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3) ),
inference(fof_simplification,[status(thm)],[clause207]) ).
cnf(c_0_409,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause206]) ).
cnf(c_0_410,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause204]) ).
cnf(c_0_411,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause203]) ).
cnf(c_0_412,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause199]) ).
cnf(c_0_413,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause194]) ).
cnf(c_0_414,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause192]) ).
cnf(c_0_415,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause189]) ).
cnf(c_0_416,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp28
| c1_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause188]) ).
cnf(c_0_417,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c3_1(X1) ),
inference(fof_simplification,[status(thm)],[clause193]) ).
cnf(c_0_418,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
inference(fof_simplification,[status(thm)],[clause182]) ).
cnf(c_0_419,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
inference(fof_simplification,[status(thm)],[clause185]) ).
cnf(c_0_420,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp0
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause181]) ).
cnf(c_0_421,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp2
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause180]) ).
cnf(c_0_422,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause177]) ).
cnf(c_0_423,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
inference(fof_simplification,[status(thm)],[clause173]) ).
cnf(c_0_424,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp16
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause172]) ).
cnf(c_0_425,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X2)
| c2_1(X2) ),
inference(fof_simplification,[status(thm)],[clause187]) ).
cnf(c_0_426,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
inference(fof_simplification,[status(thm)],[clause179]) ).
cnf(c_0_427,negated_conjecture,
( ~ hskp31
| hskp29
| c2_1(a529)
| epred32_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325]) ).
cnf(c_0_428,negated_conjecture,
( ~ c1_1(X1)
| hskp6
| c0_1(X1)
| c3_1(X1)
| epred29_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_295,c_0_326]) ).
cnf(c_0_429,negated_conjecture,
( ~ hskp12
| c1_1(a481) ),
c_0_327 ).
cnf(c_0_430,negated_conjecture,
( ~ hskp31
| hskp10
| c2_1(a529)
| epred28_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_328]),c_0_324]) ).
cnf(c_0_431,negated_conjecture,
( ~ hskp2
| hskp10
| epred28_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_432,negated_conjecture,
( ~ hskp6
| hskp2
| epred18_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_433,negated_conjecture,
( ~ epred27_0
| ~ epred28_0
| epred54_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_333,c_0_334]) ).
cnf(c_0_434,negated_conjecture,
( ~ epred42_0
| epred27_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_335,c_0_336]) ).
cnf(c_0_435,negated_conjecture,
( ~ c0_1(X1)
| hskp6
| c3_1(X1)
| c2_1(X1)
| epred38_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_337]),c_0_129])]) ).
cnf(c_0_436,negated_conjecture,
( ~ hskp19
| hskp13
| c0_1(a500)
| epred26_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_308]),c_0_307]) ).
cnf(c_0_437,negated_conjecture,
( ~ c1_1(X1)
| hskp14
| c3_1(X1)
| c2_1(X1)
| epred7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_338]),c_0_129])]) ).
cnf(c_0_438,negated_conjecture,
( ~ hskp18
| hskp2
| c1_1(a494)
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_251]),c_0_340]) ).
cnf(c_0_439,negated_conjecture,
( ~ hskp18
| hskp29
| c1_1(a494)
| epred11_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_339]) ).
cnf(c_0_440,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| hskp30
| hskp12
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_129])]) ).
cnf(c_0_441,negated_conjecture,
( ~ hskp0
| c3_1(a462)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_235]),c_0_237]) ).
cnf(c_0_442,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp18
| c1_1(X1)
| epred42_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_255]),c_0_129])]) ).
cnf(c_0_443,negated_conjecture,
( ~ hskp7
| c1_1(a471)
| epred51_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346]) ).
cnf(c_0_444,negated_conjecture,
( ~ hskp18
| hskp16
| c1_1(a494)
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_347]),c_0_340]) ).
cnf(c_0_445,negated_conjecture,
( ~ hskp24
| c3_1(a525)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_306]),c_0_349]) ).
cnf(c_0_446,negated_conjecture,
( ~ hskp16
| c3_1(a487)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_306]),c_0_351]) ).
cnf(c_0_447,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| epred12_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_352,c_0_132]) ).
cnf(c_0_448,negated_conjecture,
( ~ c1_1(X1)
| c0_1(X1)
| epred2_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_353,c_0_354]) ).
cnf(c_0_449,negated_conjecture,
( ~ hskp17
| c1_1(a493)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_355]),c_0_356]) ).
cnf(c_0_450,negated_conjecture,
( ~ hskp18
| c1_1(a494)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_357]),c_0_340]) ).
cnf(c_0_451,negated_conjecture,
( ~ hskp18
| c1_1(a494)
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_358]),c_0_342]) ).
cnf(c_0_452,negated_conjecture,
( ~ hskp18
| c1_1(a494)
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_359]),c_0_342]) ).
cnf(c_0_453,negated_conjecture,
( ~ c0_1(X1)
| hskp19
| hskp18
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_129])]) ).
cnf(c_0_454,negated_conjecture,
( ~ c0_1(X1)
| hskp17
| hskp9
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_129])]) ).
cnf(c_0_455,negated_conjecture,
( ~ c2_1(X1)
| hskp16
| hskp7
| c0_1(X1)
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_362,c_0_129])]) ).
cnf(c_0_456,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp30
| hskp1
| c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_129])]) ).
cnf(c_0_457,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| hskp18
| hskp17
| c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_129])]) ).
cnf(c_0_458,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp24
| hskp10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_129])]) ).
cnf(c_0_459,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| hskp14
| hskp10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_366,c_0_129])]) ).
cnf(c_0_460,negated_conjecture,
( ~ hskp7
| ~ c2_1(a471) ),
c_0_367 ).
cnf(c_0_461,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| epred50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_316]),c_0_129])]) ).
cnf(c_0_462,negated_conjecture,
( ~ c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_368]),c_0_129])]) ).
cnf(c_0_463,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| hskp16
| c0_1(X1)
| epred43_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_369]),c_0_129])]) ).
cnf(c_0_464,negated_conjecture,
( ~ hskp30
| c3_1(a488) ),
c_0_370 ).
cnf(c_0_465,negated_conjecture,
( ~ hskp11
| c3_1(a479) ),
c_0_371 ).
cnf(c_0_466,negated_conjecture,
( ~ hskp9
| c3_1(a477) ),
c_0_372 ).
cnf(c_0_467,negated_conjecture,
( ~ c3_1(X1)
| hskp11
| c0_1(X1)
| c2_1(X1)
| epred37_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_373]),c_0_129])]) ).
cnf(c_0_468,negated_conjecture,
( ~ c0_1(X1)
| ~ c3_1(X1)
| hskp12
| c2_1(X1)
| epred36_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_374]),c_0_129])]) ).
cnf(c_0_469,negated_conjecture,
( ~ hskp28
| epred4_0
| epred27_0 ),
inference(spm,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_470,negated_conjecture,
( ~ hskp3
| hskp28
| epred34_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_379]),c_0_380]) ).
cnf(c_0_471,negated_conjecture,
( ~ hskp12
| ~ c0_1(a481) ),
c_0_381 ).
cnf(c_0_472,negated_conjecture,
( ~ hskp12
| ~ c3_1(a481) ),
c_0_382 ).
cnf(c_0_473,negated_conjecture,
( ~ hskp14
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_383,c_0_384]) ).
cnf(c_0_474,negated_conjecture,
( ~ hskp10
| hskp14
| epred24_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]),c_0_388]) ).
cnf(c_0_475,negated_conjecture,
( ~ hskp19
| hskp0
| epred22_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_308]),c_0_307]),c_0_305]) ).
cnf(c_0_476,negated_conjecture,
( ~ hskp6
| ~ c3_1(a470)
| epred12_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_132]),c_0_390]) ).
cnf(c_0_477,negated_conjecture,
( ~ hskp2
| epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_132]),c_0_247]),c_0_391]) ).
cnf(c_0_478,negated_conjecture,
( ~ hskp15
| epred4_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_392]) ).
cnf(c_0_479,negated_conjecture,
( ~ hskp0
| ~ c3_1(a462)
| epred39_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_235]),c_0_236]) ).
cnf(c_0_480,negated_conjecture,
( ~ hskp0
| ~ c3_1(a462)
| epred19_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_235]),c_0_237]) ).
cnf(c_0_481,negated_conjecture,
( ~ hskp10
| ~ c1_1(a478)
| epred48_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_170]),c_0_387]) ).
cnf(c_0_482,negated_conjecture,
( ~ hskp10
| c1_1(a478)
| epred52_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_386]),c_0_387]) ).
cnf(c_0_483,negated_conjecture,
( ~ hskp19
| epred3_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_484,negated_conjecture,
( ~ hskp19
| ~ c0_1(a500)
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_308]) ).
cnf(c_0_485,negated_conjecture,
( ~ hskp19
| c0_1(a500)
| epred47_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_310]),c_0_307]) ).
cnf(c_0_486,negated_conjecture,
( hskp2
| epred4_0
| epred47_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_487,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred30_0 ),
inference(split_equiv,[status(thm)],[c_0_398]) ).
cnf(c_0_488,negated_conjecture,
( ~ epred27_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_399,c_0_374]),c_0_145]) ).
cnf(c_0_489,negated_conjecture,
( ~ epred50_0
| ~ epred51_0
| epred27_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
cnf(c_0_490,negated_conjecture,
( ~ c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| epred23_0 ),
inference(split_equiv,[status(thm)],[c_0_402]) ).
cnf(c_0_491,negated_conjecture,
( ~ hskp30
| ~ c0_1(a488)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_403]),c_0_404]) ).
cnf(c_0_492,negated_conjecture,
( ~ hskp30
| c0_1(a488)
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_403]),c_0_404]) ).
cnf(c_0_493,negated_conjecture,
( ~ hskp16
| ~ c1_1(a487) ),
c_0_405 ).
cnf(c_0_494,negated_conjecture,
( ~ c3_1(X1)
| c0_1(X1)
| epred12_0
| epred59_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_132]) ).
cnf(c_0_495,negated_conjecture,
( ~ hskp17
| ~ c0_1(a493) ),
c_0_407 ).
cnf(c_0_496,negated_conjecture,
( ~ c3_1(X3)
| ~ c2_1(X3)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c0_1(X3) ),
c_0_408 ).
cnf(c_0_497,negated_conjecture,
( ~ c3_1(X3)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X3)
| c1_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_409 ).
cnf(c_0_498,negated_conjecture,
( ~ c1_1(X3)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X3)
| c0_1(X3)
| c3_1(X2)
| c1_1(X2)
| c2_1(X1) ),
c_0_410 ).
cnf(c_0_499,negated_conjecture,
( ~ c2_1(X3)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X3)
| c0_1(X3)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_411 ).
cnf(c_0_500,negated_conjecture,
( ~ c1_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| c3_1(X3)
| c2_1(X3)
| c0_1(X3)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1) ),
c_0_412 ).
cnf(c_0_501,negated_conjecture,
( ~ c3_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp16
| c0_1(X2) ),
c_0_413 ).
cnf(c_0_502,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2) ),
c_0_414 ).
cnf(c_0_503,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp11
| c2_1(X2)
| c0_1(X2) ),
c_0_415 ).
cnf(c_0_504,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp28
| c1_1(X2)
| c0_1(X2) ),
c_0_416 ).
cnf(c_0_505,negated_conjecture,
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| hskp29
| c2_1(X2)
| c3_1(X1) ),
c_0_417 ).
cnf(c_0_506,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| hskp6
| c3_1(X2)
| c2_1(X2)
| c0_1(X2) ),
c_0_418 ).
cnf(c_0_507,negated_conjecture,
( ~ c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| hskp14
| c3_1(X2)
| c0_1(X2)
| c0_1(X1) ),
c_0_419 ).
cnf(c_0_508,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| hskp0
| c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_420 ).
cnf(c_0_509,negated_conjecture,
( ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| hskp2
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1) ),
c_0_421 ).
cnf(c_0_510,negated_conjecture,
( ~ c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| hskp29
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_422 ).
cnf(c_0_511,negated_conjecture,
( ~ ndr1_0
| ~ c1_1(X1)
| hskp14
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1) ),
c_0_423 ).
cnf(c_0_512,negated_conjecture,
( ~ ndr1_0
| ~ c0_1(X1)
| hskp16
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1) ),
c_0_424 ).
cnf(c_0_513,negated_conjecture,
( ~ c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| c3_1(X2)
| c2_1(X2) ),
c_0_425 ).
cnf(c_0_514,negated_conjecture,
( ~ c2_1(X2)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1) ),
c_0_426 ).
cnf(c_0_515,negated_conjecture,
( ~ hskp11
| ~ c1_1(a479) ),
inference(fof_simplification,[status(thm)],[clause119]) ).
cnf(c_0_516,negated_conjecture,
( ~ hskp24
| c1_1(a525) ),
inference(fof_simplification,[status(thm)],[clause61]) ).
cnf(c_0_517,negated_conjecture,
( ~ hskp11
| c0_1(a479) ),
inference(fof_simplification,[status(thm)],[clause77]) ).
cnf(c_0_518,negated_conjecture,
( ~ hskp31
| ~ c0_1(a529)
| ~ c1_1(a529)
| hskp29
| epred32_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_427]) ).
cnf(c_0_519,negated_conjecture,
( ~ hskp12
| hskp6
| c0_1(a481)
| c3_1(a481)
| epred29_0
| epred33_0 ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_520,negated_conjecture,
( ~ hskp31
| ~ c0_1(a529)
| ~ c1_1(a529)
| hskp10
| epred28_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_161,c_0_430]) ).
cnf(c_0_521,negated_conjecture,
( ~ hskp6
| epred18_0
| hskp10
| epred28_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_522,negated_conjecture,
( ~ epred42_0
| ~ epred28_0
| epred52_0
| epred54_0
| epred58_0 ),
inference(spm,[status(thm)],[c_0_433,c_0_434]) ).
cnf(c_0_523,negated_conjecture,
( ~ hskp19
| hskp13
| epred26_0
| hskp6
| c3_1(a500)
| c2_1(a500)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_436]) ).
cnf(c_0_524,negated_conjecture,
( ~ hskp18
| hskp2
| epred18_0
| hskp14
| c3_1(a494)
| c2_1(a494)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_437,c_0_438]) ).
cnf(c_0_525,negated_conjecture,
( ~ hskp18
| ~ c0_1(a494)
| hskp29
| epred11_0
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_439]) ).
cnf(c_0_526,negated_conjecture,
( ~ hskp18
| ~ c0_1(a494)
| hskp29
| epred11_0
| hskp30
| hskp12
| c3_1(a494) ),
inference(spm,[status(thm)],[c_0_440,c_0_439]) ).
cnf(c_0_527,negated_conjecture,
( ~ hskp0
| ~ c0_1(a462)
| epred54_0
| c1_1(a462)
| epred51_0 ),
inference(spm,[status(thm)],[c_0_344,c_0_441]) ).
cnf(c_0_528,negated_conjecture,
( ~ hskp0
| ~ c0_1(a462)
| epred54_0
| hskp18
| c1_1(a462)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_441]) ).
cnf(c_0_529,negated_conjecture,
( ~ hskp7
| ~ c0_1(a471)
| epred51_0
| hskp29
| c2_1(a471)
| epred32_0 ),
inference(spm,[status(thm)],[c_0_323,c_0_443]) ).
cnf(c_0_530,negated_conjecture,
( ~ hskp18
| ~ c0_1(a494)
| hskp16
| epred5_0
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_444]) ).
cnf(c_0_531,negated_conjecture,
( ~ hskp24
| ~ c1_1(a525)
| epred3_0
| hskp10
| c2_1(a525)
| epred28_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_445]) ).
cnf(c_0_532,negated_conjecture,
( ~ hskp16
| ~ c0_1(a487)
| epred3_0
| hskp18
| c1_1(a487)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_446]) ).
cnf(c_0_533,negated_conjecture,
( ~ hskp3
| c0_1(a465)
| c1_1(a465)
| epred12_0
| epred19_0 ),
inference(spm,[status(thm)],[c_0_447,c_0_378]) ).
cnf(c_0_534,negated_conjecture,
( ~ hskp17
| epred19_0
| c0_1(a493)
| epred2_0
| epred46_0 ),
inference(spm,[status(thm)],[c_0_448,c_0_449]) ).
cnf(c_0_535,negated_conjecture,
( ~ hskp18
| ~ c0_1(a494)
| epred8_0
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_450]) ).
cnf(c_0_536,negated_conjecture,
( ~ hskp18
| ~ c0_1(a494)
| epred6_0
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_451]) ).
cnf(c_0_537,negated_conjecture,
( ~ hskp18
| ~ c0_1(a494)
| epred1_0
| epred4_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_231,c_0_452]) ).
cnf(c_0_538,negated_conjecture,
( ~ hskp16
| hskp19
| hskp18
| c1_1(a487)
| c2_1(a487) ),
inference(spm,[status(thm)],[c_0_453,c_0_351]) ).
cnf(c_0_539,negated_conjecture,
( ~ hskp7
| hskp19
| hskp18
| c1_1(a471)
| c2_1(a471) ),
inference(spm,[status(thm)],[c_0_453,c_0_346]) ).
cnf(c_0_540,negated_conjecture,
( ~ hskp16
| hskp17
| hskp9
| c1_1(a487)
| c2_1(a487) ),
inference(spm,[status(thm)],[c_0_454,c_0_351]) ).
cnf(c_0_541,negated_conjecture,
( ~ hskp10
| hskp16
| hskp7
| c0_1(a478)
| c3_1(a478) ),
inference(spm,[status(thm)],[c_0_455,c_0_386]) ).
cnf(c_0_542,negated_conjecture,
( ~ hskp19
| ~ c0_1(a500)
| hskp30
| hskp12
| c3_1(a500) ),
inference(spm,[status(thm)],[c_0_440,c_0_308]) ).
cnf(c_0_543,negated_conjecture,
( ~ hskp10
| ~ c1_1(a478)
| hskp30
| hskp1
| c0_1(a478) ),
inference(spm,[status(thm)],[c_0_456,c_0_386]) ).
cnf(c_0_544,negated_conjecture,
( ~ hskp14
| ~ c1_1(a483)
| hskp18
| hskp17
| c3_1(a483) ),
inference(spm,[status(thm)],[c_0_457,c_0_294]) ).
cnf(c_0_545,negated_conjecture,
( ~ hskp10
| ~ c1_1(a478)
| hskp18
| hskp17
| c3_1(a478) ),
inference(spm,[status(thm)],[c_0_457,c_0_386]) ).
cnf(c_0_546,negated_conjecture,
( ~ hskp30
| ~ c0_1(a488)
| ~ c3_1(a488)
| hskp24
| hskp10 ),
inference(spm,[status(thm)],[c_0_458,c_0_403]) ).
cnf(c_0_547,negated_conjecture,
( ~ hskp30
| ~ c0_1(a488)
| ~ c1_1(a488)
| hskp14
| hskp10 ),
inference(spm,[status(thm)],[c_0_459,c_0_403]) ).
cnf(c_0_548,negated_conjecture,
( ~ hskp30
| ~ c3_1(a488)
| c0_1(a488)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_403]) ).
cnf(c_0_549,negated_conjecture,
( ~ hskp17
| ~ c3_1(a493)
| c0_1(a493)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_355]) ).
cnf(c_0_550,negated_conjecture,
( ~ hskp14
| ~ c3_1(a483)
| c0_1(a483)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_294]) ).
cnf(c_0_551,negated_conjecture,
( ~ hskp9
| ~ c3_1(a477)
| c0_1(a477)
| epred59_0 ),
inference(spm,[status(thm)],[c_0_406,c_0_182]) ).
cnf(c_0_552,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| epred53_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_293,c_0_190]) ).
cnf(c_0_553,negated_conjecture,
( ~ c0_1(a500)
| ~ c1_1(a500)
| ~ hskp19
| epred53_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_190]) ).
cnf(c_0_554,negated_conjecture,
( ~ c0_1(a471)
| ~ c1_1(a471)
| ~ hskp7
| epred53_0 ),
inference(spm,[status(thm)],[c_0_460,c_0_190]) ).
cnf(c_0_555,negated_conjecture,
( ~ hskp10
| c0_1(a478)
| c1_1(a478)
| epred50_0 ),
inference(spm,[status(thm)],[c_0_388,c_0_461]) ).
cnf(c_0_556,negated_conjecture,
( ~ c1_1(a500)
| ~ hskp19
| c3_1(a500)
| epred49_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_462]) ).
cnf(c_0_557,negated_conjecture,
( ~ c1_1(a500)
| ~ hskp19
| c0_1(a500)
| epred46_0 ),
inference(spm,[status(thm)],[c_0_305,c_0_354]) ).
cnf(c_0_558,negated_conjecture,
( ~ hskp30
| ~ c1_1(a488)
| hskp16
| c0_1(a488)
| epred43_0 ),
inference(spm,[status(thm)],[c_0_463,c_0_464]) ).
cnf(c_0_559,negated_conjecture,
( ~ hskp13
| ~ c0_1(a482)
| hskp18
| c1_1(a482)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_154]) ).
cnf(c_0_560,negated_conjecture,
( ~ hskp11
| ~ c0_1(a479)
| hskp18
| c1_1(a479)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_465]) ).
cnf(c_0_561,negated_conjecture,
( ~ hskp9
| ~ c0_1(a477)
| hskp18
| c1_1(a477)
| epred42_0 ),
inference(spm,[status(thm)],[c_0_442,c_0_466]) ).
cnf(c_0_562,negated_conjecture,
( ~ hskp18
| hskp6
| c3_1(a494)
| c2_1(a494)
| epred38_0 ),
inference(spm,[status(thm)],[c_0_435,c_0_342]) ).
cnf(c_0_563,negated_conjecture,
( ~ hskp13
| hskp11
| c0_1(a482)
| c2_1(a482)
| epred37_0 ),
inference(spm,[status(thm)],[c_0_467,c_0_154]) ).
cnf(c_0_564,negated_conjecture,
( ~ hskp31
| ~ c0_1(a529)
| hskp12
| c2_1(a529)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_328]) ).
cnf(c_0_565,negated_conjecture,
( ~ hskp7
| ~ c0_1(a471)
| hskp12
| c2_1(a471)
| epred36_0 ),
inference(spm,[status(thm)],[c_0_468,c_0_345]) ).
cnf(c_0_566,negated_conjecture,
( ~ hskp3
| epred4_0
| epred27_0
| epred34_0 ),
inference(spm,[status(thm)],[c_0_469,c_0_470]) ).
cnf(c_0_567,negated_conjecture,
( ~ hskp12
| hskp13
| epred26_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_429]),c_0_471]),c_0_472]) ).
cnf(c_0_568,negated_conjecture,
( ~ hskp10
| epred24_0
| epred33_0
| epred35_0 ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_569,negated_conjecture,
( hskp31
| hskp10
| hskp0
| epred22_0 ),
inference(spm,[status(thm)],[c_0_475,c_0_122]) ).
cnf(c_0_570,negated_conjecture,
( ~ hskp6
| epred12_0
| epred18_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_332]),c_0_477]) ).
cnf(c_0_571,negated_conjecture,
( hskp9
| epred4_0
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_478,c_0_215]),c_0_216]) ).
cnf(c_0_572,negated_conjecture,
( ~ hskp10
| c1_1(a478)
| epred54_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_386]),c_0_388]) ).
cnf(c_0_573,negated_conjecture,
( ~ hskp0
| epred39_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_479,c_0_441]) ).
cnf(c_0_574,negated_conjecture,
( ~ hskp0
| epred19_0
| epred54_0 ),
inference(spm,[status(thm)],[c_0_480,c_0_441]) ).
cnf(c_0_575,negated_conjecture,
( ~ hskp10
| epred48_0
| epred52_0 ),
inference(spm,[status(thm)],[c_0_481,c_0_482]) ).
cnf(c_0_576,negated_conjecture,
( hskp31
| hskp10
| epred3_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_483,c_0_122]) ).
cnf(c_0_577,negated_conjecture,
( ~ hskp12
| epred48_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_170]),c_0_429]),c_0_471]) ).
cnf(c_0_578,negated_conjecture,
( ~ hskp19
| epred4_0
| epred47_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_484,c_0_485]) ).
cnf(c_0_579,negated_conjecture,
( ~ hskp19
| epred3_0
| epred47_0 ),
inference(spm,[status(thm)],[c_0_394,c_0_485]) ).
cnf(c_0_580,negated_conjecture,
( epred4_0
| epred12_0
| epred47_0
| epred53_0 ),
inference(spm,[status(thm)],[c_0_477,c_0_486]) ).
cnf(c_0_581,negated_conjecture,
( ~ hskp30
| epred35_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_403]),c_0_404]),c_0_464]) ).
cnf(c_0_582,negated_conjecture,
( ~ hskp31
| epred30_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_328]),c_0_325]),c_0_324]) ).
cnf(c_0_583,negated_conjecture,
( ~ hskp7
| ~ c1_1(a471)
| epred30_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_345]),c_0_346]) ).
cnf(c_0_584,negated_conjecture,
( ~ epred36_0
| ~ epred50_0
| ~ epred51_0
| epred48_0 ),
inference(spm,[status(thm)],[c_0_488,c_0_489]) ).
cnf(c_0_585,negated_conjecture,
( ~ hskp18
| epred23_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_490]),c_0_342]),c_0_340]) ).
cnf(c_0_586,negated_conjecture,
( ~ hskp18
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_306]),c_0_342]),c_0_340]) ).
cnf(c_0_587,negated_conjecture,
( ~ hskp9
| epred19_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_182]),c_0_466]),c_0_183]) ).
cnf(c_0_588,negated_conjecture,
( ~ hskp30
| epred2_0
| epred4_0 ),
inference(spm,[status(thm)],[c_0_491,c_0_492]) ).
cnf(c_0_589,negated_conjecture,
( ~ hskp14
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_294]),c_0_199]),c_0_200]) ).
cnf(c_0_590,negated_conjecture,
( ~ hskp16
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_359]),c_0_351]),c_0_493]) ).
cnf(c_0_591,negated_conjecture,
( ~ hskp17
| epred12_0
| epred59_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_494,c_0_356]),c_0_495]) ).
cnf(c_0_592,negated_conjecture,
( ~ epred4_0
| ~ epred30_0
| ~ epred59_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_496,c_0_322]),c_0_142]),c_0_398]) ).
cnf(c_0_593,negated_conjecture,
( ~ epred49_0
| ~ epred51_0
| ~ epred58_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_497,c_0_368]),c_0_137]),c_0_264]) ).
cnf(c_0_594,negated_conjecture,
( ~ epred48_0
| ~ epred53_0
| ~ epred54_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_498,c_0_168]),c_0_148]),c_0_147]) ).
cnf(c_0_595,negated_conjecture,
( ~ epred3_0
| ~ epred19_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_499,c_0_224]),c_0_272]),c_0_160]) ).
cnf(c_0_596,negated_conjecture,
( ~ epred46_0
| ~ epred47_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_500,c_0_274]),c_0_228]),c_0_147]) ).
cnf(c_0_597,negated_conjecture,
( ~ epred35_0
| ~ epred43_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_501,c_0_369]),c_0_219]) ).
cnf(c_0_598,negated_conjecture,
( ~ epred38_0
| ~ epred39_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_502,c_0_337]),c_0_304]) ).
cnf(c_0_599,negated_conjecture,
( ~ epred35_0
| ~ epred37_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_503,c_0_373]),c_0_219]) ).
cnf(c_0_600,negated_conjecture,
( ~ epred34_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_504,c_0_289]),c_0_219]) ).
cnf(c_0_601,negated_conjecture,
( ~ epred32_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_505,c_0_241]),c_0_221]) ).
cnf(c_0_602,negated_conjecture,
( ~ epred29_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_506,c_0_244]),c_0_398]) ).
cnf(c_0_603,negated_conjecture,
( ~ epred24_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_507,c_0_296]),c_0_146]) ).
cnf(c_0_604,negated_conjecture,
( ~ epred22_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_508,c_0_300]),c_0_402]) ).
cnf(c_0_605,negated_conjecture,
( ~ epred18_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_509,c_0_206]),c_0_272]) ).
cnf(c_0_606,negated_conjecture,
( ~ epred11_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_510,c_0_261]),c_0_126]) ).
cnf(c_0_607,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_511,c_0_338]),c_0_277]) ).
cnf(c_0_608,negated_conjecture,
( ~ epred5_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_512,c_0_267]),c_0_278]) ).
cnf(c_0_609,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_513,c_0_224]),c_0_142]) ).
cnf(c_0_610,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_514,c_0_279]),c_0_273]) ).
cnf(c_0_611,negated_conjecture,
( ~ hskp11
| ~ c1_1(a479) ),
c_0_515 ).
cnf(c_0_612,negated_conjecture,
( ~ hskp24
| c1_1(a525) ),
c_0_516 ).
cnf(c_0_613,negated_conjecture,
( ~ hskp11
| c0_1(a479) ),
c_0_517 ).
cnf(c_0_614,negated_conjecture,
( hskp9
| hskp12
| hskp11 ),
clause40 ).
cnf(c_0_615,negated_conjecture,
( hskp3
| hskp12
| hskp29 ),
clause34 ).
cnf(c_0_616,negated_conjecture,
( hskp10
| hskp30
| hskp0 ),
clause38 ).
cnf(c_0_617,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_524,c_0_525,c_0_526,c_0_527,c_0_528,c_0_529,c_0_530,c_0_531,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_539,c_0_540,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_546,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_552,c_0_553,c_0_554,c_0_555,c_0_556,c_0_557,c_0_558,c_0_559,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_433,c_0_567,c_0_568,c_0_569,c_0_570,c_0_180,c_0_571,c_0_572,c_0_209,c_0_573,c_0_574,c_0_575,c_0_576,c_0_483,c_0_395,c_0_577,c_0_481,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_401,c_0_318,c_0_585,c_0_394,c_0_586,c_0_587,c_0_477,c_0_588,c_0_491,c_0_216,c_0_589,c_0_590,c_0_591,c_0_231,c_0_161,c_0_592,c_0_593,c_0_594,c_0_595,c_0_596,c_0_597,c_0_335,c_0_598,c_0_599,c_0_488,c_0_600,c_0_601,c_0_602,c_0_253,c_0_333,c_0_603,c_0_604,c_0_605,c_0_606,c_0_607,c_0_608,c_0_609,c_0_610,c_0_237,c_0_380,c_0_379,c_0_460,c_0_183,c_0_388,c_0_387,c_0_611,c_0_472,c_0_471,c_0_152,c_0_155,c_0_200,c_0_350,c_0_493,c_0_495,c_0_339,c_0_340,c_0_305,c_0_307,c_0_348,c_0_466,c_0_356,c_0_464,c_0_328,c_0_199,c_0_308,c_0_612,c_0_404,c_0_324,c_0_236,c_0_346,c_0_613,c_0_351,c_0_342,c_0_325,c_0_614,c_0_615,c_0_616,c_0_122]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN505-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:04:10 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.42/2.23 % Version: 3.5.1
% 12.42/2.23 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.42/2.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.42/2.23 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.42/2.23 % Starting new_bool_3 with 300s (1) cores
% 12.42/2.23 % Starting new_bool_1 with 300s (1) cores
% 12.42/2.23 % Starting sh5l with 300s (1) cores
% 12.42/2.23 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1735425 completed with status 0
% 12.42/2.23 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 12.42/2.23 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.42/2.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.42/2.23 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.42/2.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.42/2.23 % No SInE strategy applied
% 12.42/2.23 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.42/2.23 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.42/2.23 % Starting SubtermCWHack with 151s (1) cores
% 12.42/2.23 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.42/2.23 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 12.42/2.23 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 12.42/2.23 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 12.42/2.23 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 1735431 completed with status 0
% 12.42/2.23 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 12.42/2.23 % Preprocessing class: FSLSSLSMSSSNFFN.
% 12.42/2.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.42/2.23 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 12.42/2.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.42/2.23 % No SInE strategy applied
% 12.42/2.23 % Search class: FGHNF-FSMM00-SFFFFFNN
% 12.42/2.23 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 12.42/2.23 % Starting SubtermCWHack with 151s (1) cores
% 12.42/2.23 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 12.42/2.23 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 12.42/2.23 % Preprocessing time : 0.003 s
% 12.42/2.23 % SatCheck found unsatisfiable ground set
% 12.42/2.23
% 12.42/2.23 % Proof found!
% 12.42/2.23 % SZS status Unsatisfiable
% 12.42/2.23 % SZS output start CNFRefutation
% See solution above
% 12.42/2.23 % Parsed axioms : 208
% 12.42/2.23 % Removed by relevancy pruning/SinE : 0
% 12.42/2.23 % Initial clauses : 208
% 12.42/2.23 % Removed in clause preprocessing : 0
% 12.42/2.23 % Initial clauses in saturation : 208
% 12.42/2.23 % Processed clauses : 7289
% 12.42/2.23 % ...of these trivial : 0
% 12.42/2.23 % ...subsumed : 2289
% 12.42/2.23 % ...remaining for further processing : 5000
% 12.42/2.23 % Other redundant clauses eliminated : 0
% 12.42/2.23 % Clauses deleted for lack of memory : 0
% 12.42/2.23 % Backward-subsumed : 1085
% 12.42/2.23 % Backward-rewritten : 63
% 12.42/2.23 % Generated clauses : 60324
% 12.42/2.23 % ...of the previous two non-redundant : 56982
% 12.42/2.23 % ...aggressively subsumed : 0
% 12.42/2.23 % Contextual simplify-reflections : 456
% 12.42/2.23 % Paramodulations : 60226
% 12.42/2.23 % Factorizations : 0
% 12.42/2.23 % NegExts : 0
% 12.42/2.23 % Equation resolutions : 0
% 12.42/2.23 % Disequality decompositions : 0
% 12.42/2.23 % Total rewrite steps : 98
% 12.42/2.23 % ...of those cached : 97
% 12.42/2.23 % Propositional unsat checks : 1
% 12.42/2.23 % Propositional check models : 0
% 12.42/2.23 % Propositional check unsatisfiable : 1
% 12.42/2.23 % Propositional clauses : 52707
% 12.42/2.23 % Propositional clauses after purity: 51617
% 12.42/2.23 % Propositional unsat core size : 151
% 12.42/2.23 % Propositional preprocessing time : 0.000
% 12.42/2.23 % Propositional encoding time : 0.022
% 12.42/2.23 % Propositional solver time : 0.067
% 12.42/2.23 % Success case prop preproc time : 0.000
% 12.42/2.23 % Success case prop encoding time : 0.022
% 12.42/2.23 % Success case prop solver time : 0.067
% 12.42/2.23 % Current number of processed clauses : 3814
% 12.42/2.23 % Positive orientable unit clauses : 1
% 12.42/2.23 % Positive unorientable unit clauses: 0
% 12.42/2.23 % Negative unit clauses : 0
% 12.42/2.23 % Non-unit-clauses : 3813
% 12.42/2.23 % Current number of unprocessed clauses: 48893
% 12.42/2.23 % ...number of literals in the above : 325460
% 12.42/2.23 % Current number of archived formulas : 0
% 12.42/2.23 % Current number of archived clauses : 1148
% 12.42/2.23 % Clause-clause subsumption calls (NU) : 4525125
% 12.42/2.23 % Rec. Clause-clause subsumption calls : 194176
% 12.42/2.23 % Non-unit clause-clause subsumptions : 3882
% 12.42/2.23 % Unit Clause-clause subsumption calls : 14
% 12.42/2.23 % Rewrite failures with RHS unbound : 0
% 12.42/2.23 % BW rewrite match attempts : 1
% 12.42/2.23 % BW rewrite match successes : 1
% 12.42/2.23 % Condensation attempts : 7289
% 12.42/2.23 % Condensation successes : 0
% 12.42/2.23 % Termbank termtop insertions : 567183
% 12.42/2.23 % Search garbage collected termcells : 522
% 12.42/2.23
% 12.42/2.23 % -------------------------------------------------
% 12.42/2.23 % User time : 1.712 s
% 12.42/2.23 % System time : 0.075 s
% 12.42/2.23 % Total time : 1.787 s
% 12.42/2.23 % Maximum resident set size: 4052 pages
% 12.42/2.23
% 12.42/2.23 % -------------------------------------------------
% 12.42/2.23 % User time : 8.588 s
% 12.42/2.23 % System time : 0.231 s
% 12.42/2.23 % Total time : 8.820 s
% 12.42/2.23 % Maximum resident set size: 5120 pages
% 12.42/2.23 % E exiting
%------------------------------------------------------------------------------