%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN500-1 : TPTP v9.2.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:38:49 PM UTC 2026
% Result : Unsatisfiable 4.66s 3.26s
% Output : CNFRefutation 4.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 170
% Syntax : Number of formulae : 600 ( 2 unt; 0 def)
% Number of atoms : 2420 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2891 (1071 ~;1769 |; 0 &)
% ( 51 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 81 ( 80 usr; 77 prp; 0-1 aty)
% Number of functors : 24 ( 24 usr; 24 con; 0-0 aty)
% Number of variables : 303 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause4,negated_conjecture,
( ndr1_0
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause1,negated_conjecture,
( hskp27
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause22,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
cnf(clause153,negated_conjecture,
( hskp25
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
cnf(clause58,negated_conjecture,
( c3_1(a47)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
cnf(clause57,negated_conjecture,
( c2_1(a47)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
cnf(clause90,negated_conjecture,
( ~ c0_1(a47)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
cnf(clause84,negated_conjecture,
( ~ c3_1(a73)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
cnf(clause104,negated_conjecture,
( ~ c3_1(a20)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
cnf(clause102,negated_conjecture,
( ~ c0_1(a20)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(clause103,negated_conjecture,
( ~ c2_1(a20)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
cnf(clause38,negated_conjecture,
( hskp11
| hskp21
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause73,negated_conjecture,
( c2_1(a19)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(clause72,negated_conjecture,
( c1_1(a19)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(clause105,negated_conjecture,
( ~ c0_1(a19)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(clause51,negated_conjecture,
( c0_1(a73)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause52,negated_conjecture,
( c2_1(a73)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(clause99,negated_conjecture,
( ~ c2_1(a25)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(clause69,negated_conjecture,
( c0_1(a25)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
cnf(clause83,negated_conjecture,
( c3_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(clause82,negated_conjecture,
( c1_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(clause128,negated_conjecture,
( ~ c2_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(clause70,negated_conjecture,
( c1_1(a25)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
cnf(clause42,negated_conjecture,
( c0_1(a23)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause43,negated_conjecture,
( c1_1(a23)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(clause133,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp19
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
cnf(clause47,negated_conjecture,
( c3_1(a13)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(clause45,negated_conjecture,
( c1_1(a13)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(clause46,negated_conjecture,
( c2_1(a13)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
cnf(clause80,negated_conjecture,
( c3_1(a3)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(clause125,negated_conjecture,
( ~ c2_1(a3)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(clause124,negated_conjecture,
( ~ c1_1(a3)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(clause61,negated_conjecture,
( c2_1(a40)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
cnf(clause92,negated_conjecture,
( ~ c0_1(a40)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
cnf(clause93,negated_conjecture,
( ~ c3_1(a40)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
cnf(clause160,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
cnf(clause151,negated_conjecture,
( c3_1(X1)
| hskp28
| hskp18
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
cnf(clause59,negated_conjecture,
( c0_1(a43)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(clause91,negated_conjecture,
( ~ c3_1(a43)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
cnf(clause149,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp21
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(clause64,negated_conjecture,
( c0_1(a33)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(clause96,negated_conjecture,
( ~ c3_1(a33)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
cnf(clause81,negated_conjecture,
( c0_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(clause127,negated_conjecture,
( ~ c2_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(clause79,negated_conjecture,
( c2_1(a5)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(clause123,negated_conjecture,
( ~ c1_1(a5)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(clause145,negated_conjecture,
( c0_1(X1)
| hskp17
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
cnf(clause56,negated_conjecture,
( c1_1(a48)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
cnf(clause89,negated_conjecture,
( ~ c3_1(a48)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(clause121,negated_conjecture,
( ~ c3_1(a7)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(clause120,negated_conjecture,
( ~ c1_1(a7)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(clause130,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp1
| hskp27
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(clause131,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp8
| hskp9
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
cnf(clause141,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp11
| hskp9
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
cnf(clause140,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp1
| hskp17
| ~ c0_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(clause134,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp0
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(clause144,negated_conjecture,
( c0_1(X1)
| hskp26
| hskp16
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
cnf(clause50,negated_conjecture,
( c3_1(a4)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(clause48,negated_conjecture,
( c0_1(a4)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
cnf(clause49,negated_conjecture,
( c1_1(a4)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(clause63,negated_conjecture,
( c3_1(a39)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(clause94,negated_conjecture,
( ~ c1_1(a39)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
cnf(clause62,negated_conjecture,
( c0_1(a39)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(clause88,negated_conjecture,
( ~ c0_1(a48)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(clause119,negated_conjecture,
( ~ c0_1(a7)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(clause187,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
cnf(clause60,negated_conjecture,
( c1_1(a43)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(clause74,negated_conjecture,
( c3_1(a14)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(clause112,negated_conjecture,
( ~ c0_1(a14)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(clause113,negated_conjecture,
( ~ c2_1(a14)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(clause159,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp1
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
cnf(clause111,negated_conjecture,
( ~ c2_1(a15)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
cnf(clause109,negated_conjecture,
( ~ c0_1(a15)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(clause110,negated_conjecture,
( ~ c1_1(a15)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(clause118,negated_conjecture,
( ~ c3_1(a8)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(clause78,negated_conjecture,
( c1_1(a8)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(clause71,negated_conjecture,
( c3_1(a22)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(clause68,negated_conjecture,
( c3_1(a28)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
cnf(clause67,negated_conjecture,
( c2_1(a28)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(clause98,negated_conjecture,
( ~ c1_1(a28)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(clause117,negated_conjecture,
( ~ c2_1(a8)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(clause34,negated_conjecture,
( hskp25
| hskp22
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause44,negated_conjecture,
( c2_1(a23)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause126,negated_conjecture,
( ~ c1_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(clause95,negated_conjecture,
( ~ c1_1(a33)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
cnf(clause37,negated_conjecture,
( hskp11
| hskp0
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause65,negated_conjecture,
( c0_1(a32)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(clause97,negated_conjecture,
( ~ c1_1(a32)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
cnf(clause198,negated_conjecture,
( c2_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
cnf(clause194,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
cnf(clause195,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
cnf(clause193,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
cnf(clause192,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(clause191,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(clause190,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(clause189,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
cnf(clause185,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(clause183,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(clause182,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
cnf(clause180,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
cnf(clause178,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(clause170,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
cnf(clause174,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp21
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(clause171,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
cnf(clause165,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
cnf(clause163,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
cnf(clause164,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(clause166,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
cnf(clause168,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp22
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
cnf(clause162,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp28
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
cnf(clause155,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp1
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
cnf(clause156,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp2
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(clause157,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
cnf(clause158,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(clause154,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
cnf(clause122,negated_conjecture,
( ~ c0_1(a5)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(clause101,negated_conjecture,
( ~ c1_1(a22)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
cnf(clause100,negated_conjecture,
( ~ c0_1(a22)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(clause36,negated_conjecture,
( hskp17
| hskp22
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(c_0_119,negated_conjecture,
( ndr1_0
| ~ hskp27 ),
clause4 ).
cnf(c_0_120,negated_conjecture,
( hskp27
| hskp9 ),
clause1 ).
cnf(c_0_121,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
clause22 ).
cnf(c_0_122,negated_conjecture,
( hskp25
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause153 ).
cnf(c_0_123,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
fof(c_0_124,plain,
( ~ epred40_0
<=> ! [X1] :
( c3_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_125,plain,
( ~ epred13_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_126,plain,
( ~ epred10_0
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_127,plain,
( ~ epred29_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_128,negated_conjecture,
( hskp25
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).
cnf(c_0_129,negated_conjecture,
( epred40_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_124]) ).
fof(c_0_130,plain,
( ~ epred50_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_131,negated_conjecture,
( epred13_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_125]) ).
cnf(c_0_132,negated_conjecture,
( c3_1(a47)
| ~ hskp21 ),
clause58 ).
cnf(c_0_133,negated_conjecture,
( c2_1(a47)
| ~ hskp21 ),
clause57 ).
cnf(c_0_134,negated_conjecture,
( ~ c0_1(a47)
| ~ hskp21 ),
clause90 ).
cnf(c_0_135,negated_conjecture,
( epred10_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_126]) ).
cnf(c_0_136,negated_conjecture,
( epred29_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_127]) ).
fof(c_0_137,plain,
( ~ epred2_0
<=> ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_138,plain,
( ~ epred4_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_139,plain,
( ~ epred54_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_140,plain,
( ~ epred57_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_141,negated_conjecture,
( ~ c3_1(a73)
| ~ hskp25 ),
clause84 ).
cnf(c_0_142,negated_conjecture,
( epred40_0
| hskp25
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
fof(c_0_143,plain,
( ~ epred11_0
<=> ! [X2] :
( hskp1
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
fof(c_0_144,plain,
( ~ epred17_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_145,plain,
( ~ epred52_0
<=> ! [X1] :
( c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_146,plain,
( ~ epred51_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_147,negated_conjecture,
( ~ c3_1(a20)
| ~ hskp12 ),
clause104 ).
cnf(c_0_148,negated_conjecture,
( epred50_0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_130]) ).
cnf(c_0_149,negated_conjecture,
( ~ c0_1(a20)
| ~ hskp12 ),
clause102 ).
cnf(c_0_150,negated_conjecture,
( ~ c2_1(a20)
| ~ hskp12 ),
clause103 ).
cnf(c_0_151,negated_conjecture,
( epred13_0
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]),c_0_134]) ).
cnf(c_0_152,negated_conjecture,
( hskp11
| hskp21
| hskp12 ),
clause38 ).
cnf(c_0_153,negated_conjecture,
( epred10_0
| ~ c1_1(a47)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_133]),c_0_134]) ).
cnf(c_0_154,negated_conjecture,
( epred29_0
| c1_1(a47)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_132]),c_0_134]) ).
cnf(c_0_155,negated_conjecture,
( c2_1(a19)
| ~ hskp11 ),
clause73 ).
cnf(c_0_156,negated_conjecture,
( c1_1(a19)
| ~ hskp11 ),
clause72 ).
cnf(c_0_157,negated_conjecture,
( ~ c0_1(a19)
| ~ hskp11 ),
clause105 ).
cnf(c_0_158,negated_conjecture,
( epred2_0
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_137]) ).
cnf(c_0_159,negated_conjecture,
( epred4_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_138]) ).
cnf(c_0_160,negated_conjecture,
( epred54_0
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_139]) ).
cnf(c_0_161,negated_conjecture,
( epred57_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_140]),c_0_123])]) ).
fof(c_0_162,plain,
( ~ epred20_0
<=> ! [X1] :
( hskp14
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_163,plain,
( ~ epred6_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_164,plain,
( ~ epred56_0
<=> ! [X1] :
( c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_165,plain,
( ~ epred14_0
<=> ! [X1] :
( hskp22
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
cnf(c_0_166,negated_conjecture,
( epred40_0
| ~ c1_1(a73)
| ~ c0_1(a73) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_129]),c_0_142]) ).
cnf(c_0_167,negated_conjecture,
( c0_1(a73)
| ~ hskp25 ),
clause51 ).
cnf(c_0_168,negated_conjecture,
( epred11_0
| c1_1(X1)
| c3_1(X1)
| hskp1
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_143]),c_0_123])]) ).
cnf(c_0_169,negated_conjecture,
( c2_1(a73)
| ~ hskp25 ),
clause52 ).
fof(c_0_170,plain,
( ~ epred12_0
<=> ! [X2] :
( hskp28
| c0_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_171,plain,
( ~ epred33_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_172,plain,
( ~ epred19_0
<=> ! [X2] :
( c0_1(X2)
| ~ c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_173,plain,
( ~ epred49_0
<=> ! [X1] :
( c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_174,plain,
( ~ epred3_0
<=> ! [X1] :
( hskp20
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition) ).
fof(c_0_175,plain,
( ~ epred60_0
<=> ! [X3] :
( c2_1(X3)
| c1_1(X3)
| ~ c3_1(X3) ) ),
introduced(definition) ).
cnf(c_0_176,negated_conjecture,
( epred17_0
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_144]) ).
fof(c_0_177,plain,
( ~ epred45_0
<=> ! [X3] :
( c0_1(X3)
| c2_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_178,plain,
( ~ epred7_0
<=> ! [X2] :
( hskp2
| c0_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_179,plain,
( ~ epred32_0
<=> ! [X2] :
( hskp21
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_180,plain,
( ~ epred44_0
<=> ! [X2] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_181,negated_conjecture,
( epred52_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_123])]) ).
cnf(c_0_182,negated_conjecture,
( epred51_0
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_146]),c_0_123])]) ).
cnf(c_0_183,negated_conjecture,
( epred50_0
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]) ).
cnf(c_0_184,negated_conjecture,
( epred13_0
| hskp11
| hskp12 ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_185,negated_conjecture,
( epred29_0
| epred10_0
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_186,negated_conjecture,
( epred10_0
| ~ hskp11 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_155]),c_0_156]),c_0_157]) ).
fof(c_0_187,plain,
( ~ epred36_0
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_188,plain,
( ~ epred46_0
<=> ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_189,negated_conjecture,
( epred2_0
| ~ c1_1(a20)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_158]),c_0_150]) ).
cnf(c_0_190,negated_conjecture,
( epred4_0
| c1_1(a20)
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_159]),c_0_150]) ).
cnf(c_0_191,negated_conjecture,
( ~ c2_1(a25)
| ~ hskp14 ),
clause99 ).
cnf(c_0_192,negated_conjecture,
( epred57_0
| epred54_0
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_193,negated_conjecture,
( c0_1(a25)
| ~ hskp14 ),
clause69 ).
cnf(c_0_194,negated_conjecture,
( epred20_0
| c3_1(X1)
| hskp14
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_162]),c_0_123])]) ).
cnf(c_0_195,negated_conjecture,
( c3_1(a1)
| ~ hskp0 ),
clause83 ).
cnf(c_0_196,negated_conjecture,
( c1_1(a1)
| ~ hskp0 ),
clause82 ).
cnf(c_0_197,negated_conjecture,
( ~ c2_1(a1)
| ~ hskp0 ),
clause128 ).
cnf(c_0_198,negated_conjecture,
( epred6_0
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_163]) ).
cnf(c_0_199,negated_conjecture,
( epred56_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_164]) ).
cnf(c_0_200,negated_conjecture,
( c1_1(a25)
| ~ hskp14 ),
clause70 ).
fof(c_0_201,plain,
( ~ epred18_0
<=> ! [X1] :
( hskp15
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_202,plain,
( ~ epred47_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| c1_1(X3) ) ),
introduced(definition) ).
fof(c_0_203,plain,
( ~ epred9_0
<=> ! [X2] :
( hskp1
| c0_1(X2)
| c3_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
cnf(c_0_204,negated_conjecture,
( epred14_0
| c1_1(X1)
| hskp22
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_165]),c_0_123])]) ).
cnf(c_0_205,negated_conjecture,
( epred40_0
| ~ c1_1(a73)
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_206,negated_conjecture,
( epred11_0
| c1_1(a73)
| hskp1
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_141]) ).
cnf(c_0_207,negated_conjecture,
( c0_1(a23)
| ~ hskp28 ),
clause42 ).
cnf(c_0_208,negated_conjecture,
( c1_1(a23)
| ~ hskp28 ),
clause43 ).
cnf(c_0_209,negated_conjecture,
( epred12_0
| c2_1(X1)
| c0_1(X1)
| hskp28
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_170]),c_0_123])]) ).
cnf(c_0_210,negated_conjecture,
( epred33_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_171]) ).
cnf(c_0_211,negated_conjecture,
( epred19_0
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_172]) ).
cnf(c_0_212,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| hskp19
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause133 ).
cnf(c_0_213,negated_conjecture,
( epred49_0
| c3_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_173]) ).
cnf(c_0_214,negated_conjecture,
( epred3_0
| c1_1(X1)
| hskp20
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_174]),c_0_123])]) ).
cnf(c_0_215,negated_conjecture,
( c3_1(a13)
| ~ hskp27 ),
clause47 ).
cnf(c_0_216,negated_conjecture,
( c1_1(a13)
| ~ hskp27 ),
clause45 ).
cnf(c_0_217,negated_conjecture,
( c2_1(a13)
| ~ hskp27 ),
clause46 ).
fof(c_0_218,plain,
( ~ epred61_0
<=> ! [X3] :
( c3_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_219,negated_conjecture,
( epred60_0
| c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_175]) ).
cnf(c_0_220,negated_conjecture,
( c3_1(a3)
| ~ hskp2 ),
clause80 ).
cnf(c_0_221,negated_conjecture,
( ~ c2_1(a3)
| ~ hskp2 ),
clause125 ).
cnf(c_0_222,negated_conjecture,
( ~ c1_1(a3)
| ~ hskp2 ),
clause124 ).
fof(c_0_223,plain,
( ~ epred26_0
<=> ! [X2] :
( c0_1(X2)
| c2_1(X2)
| ~ c3_1(X2) ) ),
introduced(definition) ).
fof(c_0_224,plain,
( ~ epred15_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
cnf(c_0_225,negated_conjecture,
( epred54_0
| epred17_0
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_176]) ).
cnf(c_0_226,negated_conjecture,
( epred45_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_177]) ).
cnf(c_0_227,negated_conjecture,
( c2_1(a40)
| ~ hskp19 ),
clause61 ).
cnf(c_0_228,negated_conjecture,
( ~ c0_1(a40)
| ~ hskp19 ),
clause92 ).
cnf(c_0_229,negated_conjecture,
( ~ c3_1(a40)
| ~ hskp19 ),
clause93 ).
cnf(c_0_230,negated_conjecture,
( epred7_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_123])]) ).
cnf(c_0_231,negated_conjecture,
( epred32_0
| c1_1(X1)
| c2_1(X1)
| hskp21
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_179]),c_0_123])]) ).
cnf(c_0_232,negated_conjecture,
( epred44_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_123])]) ).
fof(c_0_233,plain,
( ~ epred55_0
<=> ! [X3] :
( c0_1(X3)
| c1_1(X3)
| ~ ndr1_0
| ~ c3_1(X3) ) ),
introduced(definition) ).
fof(c_0_234,plain,
( ~ epred58_0
<=> ! [X3] :
( c0_1(X3)
| c3_1(X3)
| ~ c2_1(X3) ) ),
introduced(definition) ).
cnf(c_0_235,negated_conjecture,
( epred52_0
| epred51_0
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
fof(c_0_236,plain,
( ~ epred5_0
<=> ! [X1] :
( hskp4
| c0_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_237,plain,
( ~ epred24_0
<=> ! [X2] :
( hskp5
| c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2) ) ),
introduced(definition) ).
cnf(c_0_238,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause160 ).
cnf(c_0_239,negated_conjecture,
( epred50_0
| epred13_0
| hskp11 ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_240,negated_conjecture,
( epred29_0
| epred10_0
| hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_152]),c_0_186]) ).
cnf(c_0_241,negated_conjecture,
( epred36_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_187]) ).
fof(c_0_242,plain,
( ~ epred31_0
<=> ! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_243,negated_conjecture,
( epred46_0
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_188]),c_0_123])]) ).
cnf(c_0_244,negated_conjecture,
( epred4_0
| epred2_0
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
fof(c_0_245,plain,
( ~ epred8_0
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
fof(c_0_246,plain,
( ~ epred1_0
<=> ! [X2] :
( hskp0
| c0_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0 ) ),
introduced(definition) ).
fof(c_0_247,plain,
( ~ epred53_0
<=> ! [X1] :
( c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition) ).
fof(c_0_248,plain,
( ~ epred48_0
<=> ! [X2] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_249,negated_conjecture,
( epred57_0
| epred54_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_250,negated_conjecture,
( epred20_0
| hskp14
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_169]),c_0_167]),c_0_141]) ).
cnf(c_0_251,negated_conjecture,
( hskp25
| ~ c0_1(a1)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_195]),c_0_196]) ).
cnf(c_0_252,negated_conjecture,
( epred6_0
| c0_1(a1)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_196]) ).
cnf(c_0_253,negated_conjecture,
( epred56_0
| ~ hskp14 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_199]),c_0_193]),c_0_200]) ).
cnf(c_0_254,negated_conjecture,
( c3_1(X1)
| hskp28
| hskp18
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause151 ).
cnf(c_0_255,negated_conjecture,
( epred18_0
| c3_1(X1)
| c2_1(X1)
| hskp15
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_201]),c_0_123])]) ).
cnf(c_0_256,negated_conjecture,
( c0_1(a43)
| ~ hskp20 ),
clause59 ).
cnf(c_0_257,negated_conjecture,
( ~ c3_1(a43)
| ~ hskp20 ),
clause91 ).
cnf(c_0_258,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp21
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause149 ).
cnf(c_0_259,negated_conjecture,
( c0_1(a33)
| ~ hskp17 ),
clause64 ).
cnf(c_0_260,negated_conjecture,
( ~ c3_1(a33)
| ~ hskp17 ),
clause96 ).
cnf(c_0_261,negated_conjecture,
( c0_1(a2)
| ~ hskp1 ),
clause81 ).
cnf(c_0_262,negated_conjecture,
( ~ c2_1(a2)
| ~ hskp1 ),
clause127 ).
cnf(c_0_263,negated_conjecture,
( epred47_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_202]) ).
cnf(c_0_264,negated_conjecture,
( epred9_0
| c1_1(X1)
| c3_1(X1)
| c0_1(X1)
| hskp1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_203]),c_0_123])]) ).
cnf(c_0_265,negated_conjecture,
( epred14_0
| c1_1(a47)
| hskp22
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_132]),c_0_133]) ).
cnf(c_0_266,negated_conjecture,
( epred40_0
| epred11_0
| hskp1
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_205,c_0_206]) ).
cnf(c_0_267,negated_conjecture,
( epred40_0
| hskp25
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_207]),c_0_208]) ).
cnf(c_0_268,negated_conjecture,
( epred56_0
| ~ c0_1(a1)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_199]),c_0_196]) ).
cnf(c_0_269,negated_conjecture,
( epred12_0
| c0_1(a1)
| hskp28
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_195]),c_0_197]) ).
cnf(c_0_270,negated_conjecture,
( epred33_0
| ~ c1_1(a73)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_169]),c_0_167]) ).
cnf(c_0_271,negated_conjecture,
( epred19_0
| c0_1(a1)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_195]),c_0_196]) ).
cnf(c_0_272,negated_conjecture,
( c2_1(a5)
| ~ hskp3 ),
clause79 ).
cnf(c_0_273,negated_conjecture,
( ~ c1_1(a5)
| ~ hskp3 ),
clause123 ).
cnf(c_0_274,negated_conjecture,
( c0_1(X1)
| hskp17
| hskp5
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause145 ).
cnf(c_0_275,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| hskp19
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_123])]) ).
cnf(c_0_276,negated_conjecture,
( c1_1(a48)
| ~ hskp22 ),
clause56 ).
cnf(c_0_277,negated_conjecture,
( ~ c3_1(a48)
| ~ hskp22 ),
clause89 ).
cnf(c_0_278,negated_conjecture,
( epred49_0
| ~ c1_1(a73)
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_213]),c_0_169]) ).
cnf(c_0_279,negated_conjecture,
( epred3_0
| c1_1(a73)
| hskp20
| ~ hskp25 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_169]),c_0_167]) ).
cnf(c_0_280,negated_conjecture,
( hskp25
| ~ c0_1(a13)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_215]),c_0_216]) ).
cnf(c_0_281,negated_conjecture,
( epred13_0
| c0_1(a13)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_215]),c_0_217]) ).
cnf(c_0_282,negated_conjecture,
( ~ c3_1(a7)
| ~ hskp4 ),
clause121 ).
cnf(c_0_283,negated_conjecture,
( epred61_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_218]) ).
cnf(c_0_284,negated_conjecture,
( ~ c1_1(a7)
| ~ hskp4 ),
clause120 ).
cnf(c_0_285,negated_conjecture,
( epred60_0
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222]) ).
cnf(c_0_286,negated_conjecture,
( epred26_0
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_223]) ).
cnf(c_0_287,negated_conjecture,
( epred15_0
| c1_1(X1)
| c3_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_224]) ).
cnf(c_0_288,negated_conjecture,
( epred54_0
| epred17_0
| ~ c0_1(a3)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_221,c_0_225]) ).
cnf(c_0_289,negated_conjecture,
( epred45_0
| c0_1(a3)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_226]),c_0_222]) ).
cnf(c_0_290,negated_conjecture,
( epred10_0
| ~ c1_1(a40)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_227]),c_0_228]) ).
cnf(c_0_291,negated_conjecture,
( epred7_0
| c1_1(a40)
| hskp2
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_228]) ).
fof(c_0_292,plain,
( ~ epred59_0
<=> ! [X2] :
( c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition) ).
cnf(c_0_293,negated_conjecture,
( epred44_0
| epred32_0
| c1_1(X1)
| c2_1(X1)
| hskp21 ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_294,negated_conjecture,
( epred55_0
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_233]),c_0_123])]) ).
cnf(c_0_295,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp1
| hskp27
| ~ ndr1_0 ),
clause130 ).
cnf(c_0_296,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp8
| hskp9
| ~ ndr1_0 ),
clause131 ).
cnf(c_0_297,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp11
| hskp9
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause141 ).
cnf(c_0_298,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp1
| hskp17
| ~ c0_1(X1)
| ~ ndr1_0 ),
clause140 ).
cnf(c_0_299,negated_conjecture,
( c0_1(X1)
| c1_1(X1)
| hskp0
| hskp4
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause134 ).
cnf(c_0_300,negated_conjecture,
( c0_1(X1)
| hskp26
| hskp16
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause144 ).
fof(c_0_301,plain,
( ~ epred35_0
<=> ! [X2] :
( hskp13
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_302,plain,
( ~ epred30_0
<=> ! [X2] :
( hskp28
| c0_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X2) ) ),
introduced(definition) ).
fof(c_0_303,plain,
( ~ epred27_0
<=> ! [X1] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1) ) ),
introduced(definition) ).
fof(c_0_304,plain,
( ~ epred25_0
<=> ! [X1] :
( hskp3
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X1) ) ),
introduced(definition) ).
cnf(c_0_305,negated_conjecture,
( c3_1(a4)
| ~ hskp26 ),
clause50 ).
cnf(c_0_306,negated_conjecture,
( c0_1(a4)
| ~ hskp26 ),
clause48 ).
cnf(c_0_307,negated_conjecture,
( c1_1(a4)
| ~ hskp26 ),
clause49 ).
cnf(c_0_308,negated_conjecture,
( c3_1(a39)
| ~ hskp18 ),
clause63 ).
cnf(c_0_309,negated_conjecture,
( ~ c1_1(a39)
| ~ hskp18 ),
clause94 ).
cnf(c_0_310,negated_conjecture,
( c0_1(a39)
| ~ hskp18 ),
clause62 ).
cnf(c_0_311,negated_conjecture,
( epred58_0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_234]) ).
cnf(c_0_312,negated_conjecture,
( ~ c0_1(a48)
| ~ hskp22 ),
clause88 ).
cnf(c_0_313,negated_conjecture,
( epred52_0
| epred51_0
| c1_1(a73)
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_235,c_0_167]) ).
cnf(c_0_314,negated_conjecture,
( ~ c0_1(a7)
| ~ hskp4 ),
clause119 ).
cnf(c_0_315,negated_conjecture,
( epred5_0
| c3_1(X1)
| c0_1(X1)
| hskp4
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_236]),c_0_123])]) ).
cnf(c_0_316,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause187 ).
cnf(c_0_317,negated_conjecture,
( ~ epred24_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_238,c_0_237]),c_0_126]) ).
cnf(c_0_318,negated_conjecture,
( epred50_0
| epred13_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_239]) ).
cnf(c_0_319,negated_conjecture,
( epred50_0
| epred29_0
| epred10_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_240]) ).
cnf(c_0_320,negated_conjecture,
( c1_1(a43)
| ~ hskp20 ),
clause60 ).
cnf(c_0_321,negated_conjecture,
( c3_1(a14)
| ~ hskp8 ),
clause74 ).
cnf(c_0_322,negated_conjecture,
( ~ c0_1(a14)
| ~ hskp8 ),
clause112 ).
cnf(c_0_323,negated_conjecture,
( ~ c2_1(a14)
| ~ hskp8 ),
clause113 ).
cnf(c_0_324,negated_conjecture,
( epred36_0
| ~ c0_1(a13)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_215]),c_0_216]) ).
cnf(c_0_325,negated_conjecture,
( epred10_0
| c0_1(a13)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_217]),c_0_216]) ).
cnf(c_0_326,negated_conjecture,
( epred33_0
| ~ c0_1(a13)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_217]),c_0_216]) ).
cnf(c_0_327,negated_conjecture,
( epred19_0
| c0_1(a13)
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_215]),c_0_216]) ).
cnf(c_0_328,negated_conjecture,
( epred31_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_242]) ).
fof(c_0_329,plain,
( ~ epred23_0
<=> ! [X2] :
( c2_1(X2)
| c1_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition) ).
fof(c_0_330,plain,
( ~ epred21_0
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) ) ),
introduced(definition) ).
cnf(c_0_331,negated_conjecture,
( epred46_0
| epred45_0
| c1_1(X1)
| c0_1(X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_226]) ).
cnf(c_0_332,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp1
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause159 ).
cnf(c_0_333,negated_conjecture,
( epred13_0
| epred4_0
| epred2_0
| hskp11 ),
inference(spm,[status(thm)],[c_0_244,c_0_184]) ).
cnf(c_0_334,negated_conjecture,
( epred8_0
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_245]) ).
cnf(c_0_335,negated_conjecture,
( epred1_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_246]),c_0_123])]) ).
cnf(c_0_336,negated_conjecture,
( ~ c2_1(a15)
| ~ hskp9 ),
clause111 ).
cnf(c_0_337,negated_conjecture,
( ~ c0_1(a15)
| ~ hskp9 ),
clause109 ).
cnf(c_0_338,negated_conjecture,
( ~ c1_1(a15)
| ~ hskp9 ),
clause110 ).
cnf(c_0_339,negated_conjecture,
( epred53_0
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_247]),c_0_123])]) ).
cnf(c_0_340,negated_conjecture,
( epred48_0
| c1_1(X1)
| c3_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_248]),c_0_123])]) ).
cnf(c_0_341,negated_conjecture,
( epred57_0
| epred54_0
| epred20_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_342,negated_conjecture,
( epred6_0
| hskp25
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_343,negated_conjecture,
( epred56_0
| epred20_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_253,c_0_250]) ).
cnf(c_0_344,negated_conjecture,
( c3_1(X1)
| hskp18
| hskp28
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_123])]) ).
cnf(c_0_345,negated_conjecture,
( epred18_0
| c2_1(a43)
| hskp15
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).
cnf(c_0_346,negated_conjecture,
( c1_1(X1)
| hskp11
| hskp21
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_123])]) ).
cnf(c_0_347,negated_conjecture,
( epred18_0
| c2_1(a33)
| hskp15
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_259]),c_0_260]) ).
cnf(c_0_348,negated_conjecture,
( epred18_0
| c3_1(a2)
| hskp15
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_261]),c_0_262]) ).
cnf(c_0_349,negated_conjecture,
( epred47_0
| epred14_0
| c1_1(X1)
| c0_1(X1)
| hskp22
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_263]) ).
cnf(c_0_350,negated_conjecture,
( epred14_0
| epred9_0
| c1_1(X1)
| c0_1(X1)
| hskp1
| hskp22
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_264]) ).
cnf(c_0_351,negated_conjecture,
( epred14_0
| epred10_0
| hskp22
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_153,c_0_265]) ).
cnf(c_0_352,negated_conjecture,
( epred40_0
| epred11_0
| hskp1
| ~ hskp28 ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_353,negated_conjecture,
( epred56_0
| epred12_0
| hskp28
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_354,negated_conjecture,
( epred33_0
| epred11_0
| hskp1
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_270,c_0_206]) ).
cnf(c_0_355,negated_conjecture,
( epred19_0
| hskp25
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_251,c_0_271]) ).
cnf(c_0_356,negated_conjecture,
( epred11_0
| c3_1(a5)
| hskp1
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_272]),c_0_273]) ).
cnf(c_0_357,negated_conjecture,
( c0_1(X1)
| hskp5
| hskp17
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_123])]) ).
cnf(c_0_358,negated_conjecture,
( c2_1(a48)
| hskp19
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]) ).
cnf(c_0_359,negated_conjecture,
( epred49_0
| epred3_0
| hskp20
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_278,c_0_279]) ).
cnf(c_0_360,negated_conjecture,
( epred13_0
| hskp25
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
cnf(c_0_361,negated_conjecture,
( epred61_0
| ~ c2_1(a7)
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_284]) ).
cnf(c_0_362,negated_conjecture,
( epred60_0
| epred9_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp1 ),
inference(spm,[status(thm)],[c_0_219,c_0_264]) ).
cnf(c_0_363,negated_conjecture,
( epred60_0
| epred7_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_230]),c_0_285]) ).
cnf(c_0_364,negated_conjecture,
( epred26_0
| epred9_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp1 ),
inference(spm,[status(thm)],[c_0_286,c_0_264]) ).
cnf(c_0_365,negated_conjecture,
( epred13_0
| epred9_0
| c1_1(X1)
| c0_1(X1)
| hskp1
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_264]) ).
cnf(c_0_366,negated_conjecture,
( epred9_0
| c1_1(a40)
| hskp1
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_264]),c_0_228]) ).
cnf(c_0_367,negated_conjecture,
( epred54_0
| epred15_0
| c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_287]) ).
cnf(c_0_368,negated_conjecture,
( epred54_0
| epred4_0
| c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_159]) ).
cnf(c_0_369,negated_conjecture,
( epred54_0
| epred45_0
| epred17_0
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_370,negated_conjecture,
( epred10_0
| epred7_0
| hskp2
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
cnf(c_0_371,negated_conjecture,
( epred26_0
| epred7_0
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp2 ),
inference(spm,[status(thm)],[c_0_286,c_0_230]) ).
cnf(c_0_372,negated_conjecture,
( epred17_0
| c2_1(a33)
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_176]),c_0_259]) ).
cnf(c_0_373,negated_conjecture,
( epred59_0
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_292]),c_0_123])]) ).
cnf(c_0_374,negated_conjecture,
( epred44_0
| epred32_0
| epred13_0
| c1_1(X1)
| c2_1(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_293]) ).
cnf(c_0_375,negated_conjecture,
( epred55_0
| epred9_0
| c1_1(X1)
| c0_1(X1)
| hskp1 ),
inference(spm,[status(thm)],[c_0_294,c_0_264]) ).
cnf(c_0_376,negated_conjecture,
( epred2_0
| c2_1(a48)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_158]),c_0_276]) ).
cnf(c_0_377,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp1
| hskp27 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_123])]) ).
cnf(c_0_378,negated_conjecture,
( ~ c3_1(a8)
| ~ hskp5 ),
clause118 ).
cnf(c_0_379,negated_conjecture,
( c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| hskp8
| hskp9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_123])]) ).
cnf(c_0_380,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp11
| hskp9
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_123])]) ).
cnf(c_0_381,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| hskp1
| hskp17
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_123])]) ).
cnf(c_0_382,negated_conjecture,
( c1_1(X1)
| c0_1(X1)
| hskp0
| hskp4
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_123])]) ).
cnf(c_0_383,negated_conjecture,
( c0_1(X1)
| hskp16
| hskp26
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_123])]) ).
cnf(c_0_384,negated_conjecture,
( epred35_0
| c3_1(X1)
| c0_1(X1)
| hskp13
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_301]),c_0_123])]) ).
cnf(c_0_385,negated_conjecture,
( epred30_0
| c3_1(X1)
| c0_1(X1)
| hskp28
| ~ c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_302]),c_0_123])]) ).
cnf(c_0_386,negated_conjecture,
( epred27_0
| c1_1(X1)
| c3_1(X1)
| hskp3
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_303]),c_0_123])]) ).
cnf(c_0_387,negated_conjecture,
( epred25_0
| c2_1(X1)
| hskp3
| ~ c1_1(X1)
| ~ c0_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_304]),c_0_123])]) ).
cnf(c_0_388,negated_conjecture,
( c1_1(a8)
| ~ hskp5 ),
clause78 ).
cnf(c_0_389,negated_conjecture,
( epred24_0
| c1_1(X1)
| c0_1(X1)
| hskp5
| ~ c3_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_237]),c_0_123])]) ).
cnf(c_0_390,negated_conjecture,
( c3_1(a22)
| ~ hskp13 ),
clause71 ).
cnf(c_0_391,negated_conjecture,
( hskp25
| ~ hskp26 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_305]),c_0_306]),c_0_307]) ).
cnf(c_0_392,negated_conjecture,
( epred19_0
| ~ c1_1(a47)
| ~ hskp21 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_132]),c_0_134]) ).
cnf(c_0_393,negated_conjecture,
( epred14_0
| hskp22
| ~ c2_1(a39)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_308]),c_0_309]) ).
cnf(c_0_394,negated_conjecture,
( epred54_0
| c2_1(a39)
| ~ hskp18 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_308]),c_0_310]) ).
cnf(c_0_395,negated_conjecture,
( c3_1(a28)
| ~ hskp15 ),
clause68 ).
cnf(c_0_396,negated_conjecture,
( c2_1(a28)
| ~ hskp15 ),
clause67 ).
cnf(c_0_397,negated_conjecture,
( ~ c1_1(a28)
| ~ hskp15 ),
clause98 ).
cnf(c_0_398,negated_conjecture,
( epred11_0
| c1_1(a40)
| hskp1
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_227]),c_0_229]) ).
cnf(c_0_399,negated_conjecture,
( epred58_0
| ~ c2_1(a48)
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_311]),c_0_312]) ).
cnf(c_0_400,negated_conjecture,
( epred58_0
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_311]),c_0_227]),c_0_228]) ).
cnf(c_0_401,negated_conjecture,
( ~ c2_1(a8)
| ~ hskp5 ),
clause117 ).
cnf(c_0_402,negated_conjecture,
( epred52_0
| epred51_0
| epred33_0
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_270,c_0_313]) ).
cnf(c_0_403,negated_conjecture,
( epred9_0
| hskp1
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_264]),c_0_314]),c_0_284]) ).
cnf(c_0_404,negated_conjecture,
( epred5_0
| hskp4
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_276]),c_0_312]),c_0_277]) ).
cnf(c_0_405,negated_conjecture,
( epred54_0
| ~ c0_1(a1)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_195]),c_0_197]) ).
cnf(c_0_406,negated_conjecture,
( ~ epred48_0
| ~ epred29_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_316,c_0_248]),c_0_127]),c_0_125]) ).
cnf(c_0_407,negated_conjecture,
( epred50_0
| epred13_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_408,negated_conjecture,
( epred50_0
| epred29_0
| ~ epred24_0 ),
inference(spm,[status(thm)],[c_0_317,c_0_319]) ).
cnf(c_0_409,negated_conjecture,
( epred49_0
| ~ c2_1(a43)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_213]),c_0_320]) ).
cnf(c_0_410,negated_conjecture,
( epred17_0
| c2_1(a43)
| ~ hskp20 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_176]),c_0_256]) ).
cnf(c_0_411,negated_conjecture,
( epred19_0
| ~ c1_1(a14)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_321]),c_0_322]) ).
cnf(c_0_412,negated_conjecture,
( epred45_0
| c1_1(a14)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_226]),c_0_322]) ).
cnf(c_0_413,negated_conjecture,
( epred7_0
| c1_1(a20)
| hskp2
| ~ hskp12 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_230]),c_0_149]) ).
cnf(c_0_414,negated_conjecture,
( epred36_0
| epred10_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_415,negated_conjecture,
( epred33_0
| epred3_0
| hskp20
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_270,c_0_279]) ).
cnf(c_0_416,negated_conjecture,
( hskp25
| hskp22
| hskp9 ),
clause34 ).
cnf(c_0_417,negated_conjecture,
( epred36_0
| ~ c0_1(a1)
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_195]),c_0_196]) ).
cnf(c_0_418,negated_conjecture,
( c2_1(a23)
| ~ hskp28 ),
clause44 ).
cnf(c_0_419,negated_conjecture,
( epred33_0
| epred19_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_420,negated_conjecture,
( epred31_0
| ~ hskp27 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_215]),c_0_217]),c_0_216]) ).
cnf(c_0_421,negated_conjecture,
( epred23_0
| c1_1(X1)
| c2_1(X1)
| ~ c0_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_329]) ).
cnf(c_0_422,negated_conjecture,
( ~ c1_1(a2)
| ~ hskp1 ),
clause126 ).
cnf(c_0_423,negated_conjecture,
( epred21_0
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1) ),
inference(split_equiv,[status(thm)],[c_0_330]) ).
cnf(c_0_424,negated_conjecture,
( epred46_0
| epred45_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_331]),c_0_284]) ).
cnf(c_0_425,negated_conjecture,
( ~ c1_1(a33)
| ~ hskp17 ),
clause95 ).
cnf(c_0_426,negated_conjecture,
( ~ epred11_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_332,c_0_143]),c_0_137]) ).
cnf(c_0_427,negated_conjecture,
( epred13_0
| epred10_0
| epred4_0
| epred2_0 ),
inference(spm,[status(thm)],[c_0_186,c_0_333]) ).
cnf(c_0_428,negated_conjecture,
( epred8_0
| ~ c1_1(a14)
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_321]),c_0_323]) ).
cnf(c_0_429,negated_conjecture,
( epred1_0
| c1_1(a14)
| hskp0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_335]),c_0_322]) ).
cnf(c_0_430,negated_conjecture,
( epred8_0
| ~ hskp0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_195]),c_0_196]),c_0_197]) ).
cnf(c_0_431,negated_conjecture,
( epred1_0
| hskp0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_335]),c_0_337]),c_0_338]) ).
cnf(c_0_432,negated_conjecture,
( hskp11
| hskp0
| hskp22 ),
clause37 ).
cnf(c_0_433,negated_conjecture,
( epred53_0
| epred48_0
| c1_1(X1)
| ~ c2_1(X1) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
cnf(c_0_434,negated_conjecture,
( c0_1(a32)
| ~ hskp16 ),
clause65 ).
cnf(c_0_435,negated_conjecture,
( ~ c1_1(a32)
| ~ hskp16 ),
clause97 ).
cnf(c_0_436,negated_conjecture,
( epred52_0
| epred15_0
| c1_1(X1)
| ~ c0_1(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_287]) ).
cnf(c_0_437,negated_conjecture,
( epred10_0
| epred6_0
| c0_1(X1)
| ~ c1_1(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_198]) ).
cnf(c_0_438,negated_conjecture,
( c2_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause198 ).
cnf(c_0_439,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause194 ).
cnf(c_0_440,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
clause195 ).
cnf(c_0_441,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause193 ).
cnf(c_0_442,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c1_1(X3)
| c2_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X3) ),
clause192 ).
cnf(c_0_443,negated_conjecture,
( c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c2_1(X3) ),
clause191 ).
cnf(c_0_444,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X3) ),
clause190 ).
cnf(c_0_445,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c0_1(X3)
| c1_1(X3)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X3) ),
clause189 ).
cnf(c_0_446,negated_conjecture,
( c2_1(X1)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2) ),
clause185 ).
cnf(c_0_447,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c1_1(X3) ),
clause183 ).
cnf(c_0_448,negated_conjecture,
( c3_1(X1)
| c1_1(X2)
| c3_1(X2)
| c0_1(X3)
| c2_1(X3)
| c3_1(X3)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause182 ).
cnf(c_0_449,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c0_1(X3)
| c1_1(X3)
| c3_1(X3)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2) ),
clause180 ).
cnf(c_0_450,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| c0_1(X3)
| c1_1(X3)
| c2_1(X3)
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause178 ).
cnf(c_0_451,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp13
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause170 ).
cnf(c_0_452,negated_conjecture,
( c1_1(X2)
| c2_1(X2)
| hskp21
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause174 ).
cnf(c_0_453,negated_conjecture,
( c0_1(X2)
| c3_1(X2)
| hskp28
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause171 ).
cnf(c_0_454,negated_conjecture,
( c1_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c2_1(X2) ),
clause165 ).
cnf(c_0_455,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp3
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause163 ).
cnf(c_0_456,negated_conjecture,
( c3_1(X1)
| c0_1(X2)
| c3_1(X2)
| hskp14
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause164 ).
cnf(c_0_457,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| hskp15
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2) ),
clause166 ).
cnf(c_0_458,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| hskp22
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X2) ),
clause168 ).
cnf(c_0_459,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp28
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X2) ),
clause162 ).
cnf(c_0_460,negated_conjecture,
( c0_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp1
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause155 ).
cnf(c_0_461,negated_conjecture,
( c2_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2)
| hskp2
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0 ),
clause156 ).
cnf(c_0_462,negated_conjecture,
( c0_1(X1)
| c3_1(X1)
| c0_1(X2)
| c2_1(X2)
| hskp4
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2) ),
clause157 ).
cnf(c_0_463,negated_conjecture,
( c1_1(X1)
| c1_1(X2)
| c2_1(X2)
| c3_1(X2)
| hskp20
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0 ),
clause158 ).
cnf(c_0_464,negated_conjecture,
( c2_1(X1)
| c3_1(X1)
| c0_1(X2)
| c1_1(X2)
| c2_1(X2)
| hskp0
| ~ c1_1(X1)
| ~ ndr1_0 ),
clause154 ).
cnf(c_0_465,negated_conjecture,
( epred57_0
| epred54_0
| epred20_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_341,c_0_342]) ).
cnf(c_0_466,negated_conjecture,
( epred56_0
| epred20_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_343,c_0_342]) ).
cnf(c_0_467,negated_conjecture,
( c3_1(a43)
| hskp18
| hskp28
| epred18_0
| hskp15
| ~ c0_1(a43)
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_344,c_0_345]) ).
cnf(c_0_468,negated_conjecture,
( c1_1(a33)
| hskp11
| hskp21
| epred18_0
| hskp15
| ~ c0_1(a33)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_346,c_0_347]) ).
cnf(c_0_469,negated_conjecture,
( epred11_0
| c1_1(a33)
| c3_1(a33)
| hskp1
| epred18_0
| hskp15
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_168,c_0_347]) ).
cnf(c_0_470,negated_conjecture,
( epred52_0
| c1_1(a2)
| epred18_0
| hskp15
| ~ c0_1(a2)
| ~ hskp1 ),
inference(spm,[status(thm)],[c_0_181,c_0_348]) ).
cnf(c_0_471,negated_conjecture,
( epred47_0
| epred14_0
| c1_1(a5)
| c0_1(a5)
| hskp22
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_349,c_0_272]) ).
cnf(c_0_472,negated_conjecture,
( epred14_0
| epred9_0
| c1_1(a5)
| c0_1(a5)
| hskp1
| hskp22
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_350,c_0_272]) ).
cnf(c_0_473,negated_conjecture,
( epred14_0
| epred10_0
| hskp22
| hskp11
| hskp12 ),
inference(spm,[status(thm)],[c_0_351,c_0_152]) ).
cnf(c_0_474,negated_conjecture,
( epred40_0
| epred11_0
| hskp1
| epred56_0
| epred12_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_475,negated_conjecture,
( epred33_0
| epred11_0
| hskp1
| epred19_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
cnf(c_0_476,negated_conjecture,
( epred55_0
| c1_1(a5)
| c0_1(a5)
| epred11_0
| hskp1
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_294,c_0_356]) ).
cnf(c_0_477,negated_conjecture,
( epred53_0
| c1_1(a5)
| epred11_0
| hskp1
| ~ c2_1(a5)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_339,c_0_356]) ).
cnf(c_0_478,negated_conjecture,
( epred13_0
| c0_1(a5)
| epred11_0
| hskp1
| ~ c2_1(a5)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_131,c_0_356]) ).
cnf(c_0_479,negated_conjecture,
( c0_1(a48)
| hskp5
| hskp17
| hskp19
| ~ c1_1(a48)
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_480,negated_conjecture,
( epred49_0
| epred3_0
| hskp20
| epred13_0
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_359,c_0_360]) ).
cnf(c_0_481,negated_conjecture,
( epred61_0
| epred45_0
| c1_1(a7)
| c0_1(a7)
| ~ hskp4 ),
inference(spm,[status(thm)],[c_0_361,c_0_226]) ).
cnf(c_0_482,negated_conjecture,
( epred60_0
| epred9_0
| c1_1(a15)
| c0_1(a15)
| hskp1
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_336,c_0_362]) ).
cnf(c_0_483,negated_conjecture,
( epred60_0
| epred7_0
| c1_1(a15)
| c0_1(a15)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_336,c_0_363]) ).
cnf(c_0_484,negated_conjecture,
( epred26_0
| epred9_0
| c1_1(a15)
| c0_1(a15)
| hskp1
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_336,c_0_364]) ).
cnf(c_0_485,negated_conjecture,
( epred13_0
| epred9_0
| c1_1(a5)
| c0_1(a5)
| hskp1
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_365,c_0_272]) ).
cnf(c_0_486,negated_conjecture,
( epred5_0
| c3_1(a40)
| c0_1(a40)
| hskp4
| epred9_0
| hskp1
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_315,c_0_366]) ).
cnf(c_0_487,negated_conjecture,
( epred54_0
| epred15_0
| c1_1(a2)
| ~ hskp1
| ~ c0_1(a2) ),
inference(spm,[status(thm)],[c_0_262,c_0_367]) ).
cnf(c_0_488,negated_conjecture,
( epred54_0
| epred4_0
| c1_1(a2)
| ~ hskp1
| ~ c0_1(a2) ),
inference(spm,[status(thm)],[c_0_262,c_0_368]) ).
cnf(c_0_489,negated_conjecture,
( epred54_0
| epred45_0
| epred17_0
| epred10_0
| epred7_0
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_369,c_0_370]) ).
cnf(c_0_490,negated_conjecture,
( epred26_0
| epred7_0
| c1_1(a15)
| c0_1(a15)
| hskp2
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_336,c_0_371]) ).
cnf(c_0_491,negated_conjecture,
( c1_1(a33)
| hskp11
| hskp21
| epred17_0
| ~ c0_1(a33)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_346,c_0_372]) ).
cnf(c_0_492,negated_conjecture,
( epred59_0
| c1_1(a33)
| epred17_0
| ~ c0_1(a33)
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_373,c_0_372]) ).
cnf(c_0_493,negated_conjecture,
( epred44_0
| epred32_0
| epred13_0
| c1_1(a15)
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_336,c_0_374]) ).
cnf(c_0_494,negated_conjecture,
( epred55_0
| epred9_0
| c1_1(a15)
| hskp1
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_337,c_0_375]) ).
cnf(c_0_495,negated_conjecture,
( epred44_0
| epred32_0
| c1_1(a15)
| hskp21
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_336,c_0_293]) ).
cnf(c_0_496,negated_conjecture,
( c0_1(a48)
| hskp5
| hskp17
| epred2_0
| ~ c1_1(a48)
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_357,c_0_376]) ).
cnf(c_0_497,negated_conjecture,
( epred10_0
| c0_1(a48)
| epred2_0
| ~ c1_1(a48)
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_135,c_0_376]) ).
cnf(c_0_498,negated_conjecture,
( c2_1(a20)
| c0_1(a20)
| hskp1
| hskp27
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_147,c_0_377]) ).
cnf(c_0_499,negated_conjecture,
( c2_1(a8)
| c0_1(a8)
| hskp8
| hskp9
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_378,c_0_379]) ).
cnf(c_0_500,negated_conjecture,
( c1_1(a33)
| c3_1(a33)
| hskp11
| hskp9
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_380,c_0_259]) ).
cnf(c_0_501,negated_conjecture,
( c1_1(a73)
| c3_1(a73)
| hskp1
| hskp17
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_381,c_0_167]) ).
cnf(c_0_502,negated_conjecture,
( c1_1(a5)
| c0_1(a5)
| hskp0
| hskp4
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_382,c_0_272]) ).
cnf(c_0_503,negated_conjecture,
( c0_1(a40)
| hskp16
| hskp26
| ~ c1_1(a40)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_383,c_0_227]) ).
cnf(c_0_504,negated_conjecture,
( c0_1(a13)
| hskp5
| hskp17
| ~ c1_1(a13)
| ~ hskp27 ),
inference(spm,[status(thm)],[c_0_357,c_0_217]) ).
cnf(c_0_505,negated_conjecture,
( c0_1(a40)
| hskp5
| hskp17
| ~ c1_1(a40)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_357,c_0_227]) ).
cnf(c_0_506,negated_conjecture,
( c0_1(a19)
| hskp5
| hskp17
| ~ c1_1(a19)
| ~ hskp11 ),
inference(spm,[status(thm)],[c_0_357,c_0_155]) ).
cnf(c_0_507,negated_conjecture,
( epred59_0
| c1_1(a73)
| ~ c0_1(a73)
| ~ hskp25 ),
inference(spm,[status(thm)],[c_0_373,c_0_169]) ).
cnf(c_0_508,negated_conjecture,
( epred57_0
| c2_1(a33)
| ~ hskp17
| ~ c0_1(a33) ),
inference(spm,[status(thm)],[c_0_260,c_0_161]) ).
cnf(c_0_509,negated_conjecture,
( epred57_0
| c2_1(a8)
| ~ hskp5
| ~ c0_1(a8) ),
inference(spm,[status(thm)],[c_0_378,c_0_161]) ).
cnf(c_0_510,negated_conjecture,
( epred52_0
| c1_1(a3)
| ~ c0_1(a3)
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_181,c_0_220]) ).
cnf(c_0_511,negated_conjecture,
( epred48_0
| c1_1(a40)
| ~ hskp19
| ~ c2_1(a40) ),
inference(spm,[status(thm)],[c_0_229,c_0_340]) ).
cnf(c_0_512,negated_conjecture,
( epred48_0
| c1_1(a33)
| ~ hskp17
| ~ c2_1(a33) ),
inference(spm,[status(thm)],[c_0_260,c_0_340]) ).
cnf(c_0_513,negated_conjecture,
( epred46_0
| c1_1(a40)
| c0_1(a40)
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_243,c_0_227]) ).
cnf(c_0_514,negated_conjecture,
( epred46_0
| c1_1(a5)
| c0_1(a5)
| ~ hskp3 ),
inference(spm,[status(thm)],[c_0_243,c_0_272]) ).
cnf(c_0_515,negated_conjecture,
( epred35_0
| c3_1(a48)
| c0_1(a48)
| hskp13
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_384,c_0_276]) ).
cnf(c_0_516,negated_conjecture,
( epred32_0
| c1_1(a3)
| c2_1(a3)
| hskp21
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_231,c_0_220]) ).
cnf(c_0_517,negated_conjecture,
( epred30_0
| c3_1(a48)
| c0_1(a48)
| hskp28
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_385,c_0_276]) ).
cnf(c_0_518,negated_conjecture,
( epred27_0
| c1_1(a33)
| c3_1(a33)
| hskp3
| ~ hskp17 ),
inference(spm,[status(thm)],[c_0_386,c_0_259]) ).
cnf(c_0_519,negated_conjecture,
( epred25_0
| c2_1(a8)
| hskp3
| ~ c0_1(a8)
| ~ hskp5 ),
inference(spm,[status(thm)],[c_0_387,c_0_388]) ).
cnf(c_0_520,negated_conjecture,
( epred25_0
| c2_1(a1)
| hskp3
| ~ c0_1(a1)
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_387,c_0_196]) ).
cnf(c_0_521,negated_conjecture,
( epred24_0
| c1_1(a22)
| c0_1(a22)
| hskp5
| ~ hskp13 ),
inference(spm,[status(thm)],[c_0_389,c_0_390]) ).
cnf(c_0_522,negated_conjecture,
( epred24_0
| c1_1(a3)
| c0_1(a3)
| hskp5
| ~ hskp2 ),
inference(spm,[status(thm)],[c_0_389,c_0_220]) ).
cnf(c_0_523,negated_conjecture,
( epred56_0
| epred20_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_343,c_0_391]) ).
cnf(c_0_524,negated_conjecture,
( epred19_0
| epred14_0
| hskp22
| ~ hskp21 ),
inference(spm,[status(thm)],[c_0_392,c_0_265]) ).
cnf(c_0_525,negated_conjecture,
( epred54_0
| epred14_0
| hskp22
| ~ hskp18 ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_526,negated_conjecture,
( epred14_0
| hskp22
| ~ hskp15 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_395]),c_0_396]),c_0_397]) ).
cnf(c_0_527,negated_conjecture,
( epred11_0
| epred10_0
| hskp1
| ~ hskp19 ),
inference(spm,[status(thm)],[c_0_290,c_0_398]) ).
cnf(c_0_528,negated_conjecture,
( epred58_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_358]),c_0_400]) ).
cnf(c_0_529,negated_conjecture,
( hskp19
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_388]),c_0_401]),c_0_378]) ).
cnf(c_0_530,negated_conjecture,
( epred52_0
| epred51_0
| epred33_0
| ~ hskp26 ),
inference(spm,[status(thm)],[c_0_402,c_0_391]) ).
cnf(c_0_531,negated_conjecture,
( epred9_0
| epred5_0
| hskp1
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
cnf(c_0_532,negated_conjecture,
( epred54_0
| epred19_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_405,c_0_271]) ).
cnf(c_0_533,negated_conjecture,
( epred50_0
| ~ epred48_0
| ~ epred24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_408]) ).
cnf(c_0_534,negated_conjecture,
( epred49_0
| epred17_0
| ~ hskp20 ),
inference(spm,[status(thm)],[c_0_409,c_0_410]) ).
cnf(c_0_535,negated_conjecture,
( epred47_0
| c1_1(a40)
| ~ hskp19 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_263]),c_0_228]) ).
cnf(c_0_536,negated_conjecture,
( epred47_0
| ~ hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_263]),c_0_314]),c_0_284]) ).
cnf(c_0_537,negated_conjecture,
( epred45_0
| epred19_0
| ~ hskp8 ),
inference(spm,[status(thm)],[c_0_411,c_0_412]) ).
cnf(c_0_538,negated_conjecture,
( epred45_0
| ~ hskp9 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_226]),c_0_337]),c_0_338]) ).
cnf(c_0_539,negated_conjecture,
( epred7_0
| epred2_0
| hskp2
| ~ hskp12 ),
inference(spm,[status(thm)],[c_0_189,c_0_413]) ).
cnf(c_0_540,negated_conjecture,
( epred36_0
| epred10_0
| hskp9 ),
inference(spm,[status(thm)],[c_0_414,c_0_120]) ).
cnf(c_0_541,negated_conjecture,
( epred33_0
| epred3_0
| hskp20
| hskp22
| hskp9 ),
inference(spm,[status(thm)],[c_0_415,c_0_416]) ).
cnf(c_0_542,negated_conjecture,
( epred36_0
| epred19_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_417,c_0_271]) ).
cnf(c_0_543,negated_conjecture,
( epred36_0
| epred6_0
| ~ hskp0 ),
inference(spm,[status(thm)],[c_0_417,c_0_252]) ).
cnf(c_0_544,negated_conjecture,
( epred33_0
| ~ hskp28 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_418]),c_0_207]),c_0_208]) ).
cnf(c_0_545,negated_conjecture,
( epred33_0
| epred19_0
| hskp9 ),
inference(spm,[status(thm)],[c_0_419,c_0_120]) ).
cnf(c_0_546,negated_conjecture,
( epred31_0
| hskp9 ),
inference(spm,[status(thm)],[c_0_420,c_0_120]) ).
cnf(c_0_547,negated_conjecture,
( epred29_0
| c0_1(a3)
| ~ hskp2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_220]),c_0_222]) ).
cnf(c_0_548,negated_conjecture,
( epred23_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_421]),c_0_261]),c_0_422]) ).
cnf(c_0_549,negated_conjecture,
( epred21_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_423]),c_0_276]),c_0_312]) ).
cnf(c_0_550,negated_conjecture,
( epred21_0
| c0_1(a8)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_423]),c_0_388]) ).
cnf(c_0_551,negated_conjecture,
( epred46_0
| epred45_0
| epred5_0
| ~ hskp22 ),
inference(spm,[status(thm)],[c_0_424,c_0_404]) ).
cnf(c_0_552,negated_conjecture,
( epred5_0
| c0_1(a8)
| hskp4
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_388]),c_0_378]) ).
cnf(c_0_553,negated_conjecture,
( epred15_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_287]),c_0_259]),c_0_425]) ).
cnf(c_0_554,negated_conjecture,
( epred13_0
| epred10_0
| epred4_0
| ~ epred11_0 ),
inference(spm,[status(thm)],[c_0_426,c_0_427]) ).
cnf(c_0_555,negated_conjecture,
( epred8_0
| epred1_0
| ~ hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]) ).
cnf(c_0_556,negated_conjecture,
( epred8_0
| epred1_0
| ~ hskp9 ),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
cnf(c_0_557,negated_conjecture,
( epred8_0
| hskp11
| hskp22 ),
inference(spm,[status(thm)],[c_0_430,c_0_432]) ).
cnf(c_0_558,negated_conjecture,
( epred6_0
| c0_1(a8)
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_198]),c_0_388]) ).
cnf(c_0_559,negated_conjecture,
( epred2_0
| ~ hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_158]),c_0_388]),c_0_401]) ).
cnf(c_0_560,negated_conjecture,
( epred57_0
| epred54_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_192]),c_0_261]) ).
cnf(c_0_561,negated_conjecture,
( epred53_0
| epred48_0
| ~ hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_272]),c_0_273]) ).
cnf(c_0_562,negated_conjecture,
( epred52_0
| epred51_0
| ~ hskp17 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_259]),c_0_425]) ).
cnf(c_0_563,negated_conjecture,
( epred52_0
| epred51_0
| ~ hskp16 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_434]),c_0_435]) ).
cnf(c_0_564,negated_conjecture,
( epred52_0
| epred51_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_261]),c_0_422]) ).
cnf(c_0_565,negated_conjecture,
( epred52_0
| epred15_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_261]),c_0_422]) ).
cnf(c_0_566,negated_conjecture,
( epred54_0
| epred17_0
| ~ hskp1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_225]),c_0_261]) ).
cnf(c_0_567,negated_conjecture,
( epred10_0
| epred6_0
| ~ hskp22 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_437]),c_0_276]) ).
cnf(c_0_568,negated_conjecture,
( ~ epred54_0
| ~ epred48_0
| ~ epred36_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_438,c_0_248]),c_0_139]),c_0_187]) ).
cnf(c_0_569,negated_conjecture,
( ~ epred61_0
| ~ epred56_0
| ~ epred52_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_439,c_0_145]),c_0_218]),c_0_164]) ).
cnf(c_0_570,negated_conjecture,
( ~ epred48_0
| ~ epred33_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_440,c_0_248]),c_0_144]),c_0_171]) ).
cnf(c_0_571,negated_conjecture,
( ~ epred60_0
| ~ epred53_0
| ~ epred40_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_441,c_0_247]),c_0_175]),c_0_124]) ).
cnf(c_0_572,negated_conjecture,
( ~ epred59_0
| ~ epred54_0
| ~ epred23_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_442,c_0_292]),c_0_329]),c_0_139]) ).
cnf(c_0_573,negated_conjecture,
( ~ epred58_0
| ~ epred57_0
| ~ epred33_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_443,c_0_140]),c_0_234]),c_0_171]) ).
cnf(c_0_574,negated_conjecture,
( ~ epred56_0
| ~ epred55_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_444,c_0_233]),c_0_164]),c_0_125]) ).
cnf(c_0_575,negated_conjecture,
( ~ epred54_0
| ~ epred46_0
| ~ epred19_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_445,c_0_188]),c_0_139]),c_0_172]) ).
cnf(c_0_576,negated_conjecture,
( ~ epred52_0
| ~ epred45_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_446,c_0_145]),c_0_177]),c_0_245]) ).
cnf(c_0_577,negated_conjecture,
( ~ epred51_0
| ~ epred21_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_447,c_0_146]),c_0_137]),c_0_330]) ).
cnf(c_0_578,negated_conjecture,
( ~ epred50_0
| ~ epred49_0
| ~ epred48_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_448,c_0_248]),c_0_173]),c_0_130]) ).
cnf(c_0_579,negated_conjecture,
( ~ epred47_0
| ~ epred46_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_449,c_0_188]),c_0_202]),c_0_144]) ).
cnf(c_0_580,negated_conjecture,
( ~ epred45_0
| ~ epred44_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_450,c_0_180]),c_0_177]),c_0_137]) ).
cnf(c_0_581,negated_conjecture,
( ~ epred36_0
| ~ epred35_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_451,c_0_301]),c_0_187]) ).
cnf(c_0_582,negated_conjecture,
( ~ epred33_0
| ~ epred32_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_452,c_0_179]),c_0_171]) ).
cnf(c_0_583,negated_conjecture,
( ~ epred31_0
| ~ epred30_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_453,c_0_302]),c_0_242]) ).
cnf(c_0_584,negated_conjecture,
( ~ epred27_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_454,c_0_303]),c_0_126]) ).
cnf(c_0_585,negated_conjecture,
( ~ epred26_0
| ~ epred25_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_455,c_0_304]),c_0_223]) ).
cnf(c_0_586,negated_conjecture,
( ~ epred21_0
| ~ epred20_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_456,c_0_162]),c_0_330]) ).
cnf(c_0_587,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_457,c_0_201]),c_0_172]) ).
cnf(c_0_588,negated_conjecture,
( ~ epred15_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_458,c_0_165]),c_0_224]) ).
cnf(c_0_589,negated_conjecture,
( ~ epred13_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_459,c_0_170]),c_0_125]) ).
cnf(c_0_590,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_460,c_0_203]),c_0_126]) ).
cnf(c_0_591,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_461,c_0_178]),c_0_245]) ).
cnf(c_0_592,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_462,c_0_236]),c_0_163]) ).
cnf(c_0_593,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_463,c_0_174]),c_0_138]) ).
cnf(c_0_594,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_464,c_0_246]),c_0_137]) ).
cnf(c_0_595,negated_conjecture,
( ~ c0_1(a5)
| ~ hskp3 ),
clause122 ).
cnf(c_0_596,negated_conjecture,
( ~ c1_1(a22)
| ~ hskp13 ),
clause101 ).
cnf(c_0_597,negated_conjecture,
( ~ c0_1(a22)
| ~ hskp13 ),
clause100 ).
cnf(c_0_598,negated_conjecture,
( hskp17
| hskp22
| hskp19 ),
clause36 ).
cnf(c_0_599,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_465,c_0_466,c_0_467,c_0_468,c_0_469,c_0_470,c_0_471,c_0_472,c_0_473,c_0_474,c_0_475,c_0_476,c_0_477,c_0_478,c_0_479,c_0_480,c_0_481,c_0_482,c_0_483,c_0_484,c_0_485,c_0_486,c_0_487,c_0_488,c_0_489,c_0_490,c_0_491,c_0_492,c_0_493,c_0_494,c_0_495,c_0_496,c_0_497,c_0_498,c_0_499,c_0_500,c_0_501,c_0_502,c_0_503,c_0_504,c_0_505,c_0_506,c_0_507,c_0_508,c_0_509,c_0_510,c_0_511,c_0_512,c_0_513,c_0_514,c_0_515,c_0_516,c_0_517,c_0_518,c_0_519,c_0_520,c_0_521,c_0_522,c_0_523,c_0_343,c_0_524,c_0_351,c_0_525,c_0_526,c_0_527,c_0_398,c_0_528,c_0_529,c_0_530,c_0_355,c_0_400,c_0_366,c_0_531,c_0_403,c_0_532,c_0_533,c_0_534,c_0_535,c_0_536,c_0_537,c_0_538,c_0_370,c_0_539,c_0_166,c_0_540,c_0_324,c_0_541,c_0_542,c_0_543,c_0_544,c_0_545,c_0_419,c_0_270,c_0_546,c_0_547,c_0_548,c_0_549,c_0_550,c_0_551,c_0_404,c_0_271,c_0_552,c_0_553,c_0_554,c_0_184,c_0_290,c_0_186,c_0_555,c_0_556,c_0_557,c_0_430,c_0_558,c_0_559,c_0_431,c_0_560,c_0_561,c_0_562,c_0_563,c_0_564,c_0_565,c_0_566,c_0_567,c_0_568,c_0_569,c_0_570,c_0_571,c_0_572,c_0_573,c_0_574,c_0_575,c_0_576,c_0_406,c_0_577,c_0_578,c_0_579,c_0_580,c_0_581,c_0_582,c_0_583,c_0_584,c_0_585,c_0_317,c_0_586,c_0_587,c_0_588,c_0_589,c_0_426,c_0_590,c_0_591,c_0_592,c_0_593,c_0_594,c_0_197,c_0_422,c_0_222,c_0_221,c_0_273,c_0_595,c_0_284,c_0_314,c_0_401,c_0_157,c_0_150,c_0_149,c_0_596,c_0_597,c_0_425,c_0_260,c_0_229,c_0_228,c_0_257,c_0_277,c_0_312,c_0_141,c_0_338,c_0_337,c_0_156,c_0_276,c_0_216,c_0_272,c_0_227,c_0_261,c_0_259,c_0_256,c_0_167,c_0_432,c_0_598,c_0_416,c_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN500-1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n018.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 08:37:17 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 4.66/3.26 % Version : CSE_E---1.7
% 4.66/3.26 % Problem : theBenchmark.p
% 4.66/3.26 % SZS status Unsatisfiable for theBenchmark.p
% 4.66/3.26 % SZS output start CNFRefutation
% See solution above
% 4.66/3.28 % Total time : 2.372s
%------------------------------------------------------------------------------