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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN433-1 : 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 : n014.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 05:38:17 PM UTC 2026

% Result   : Satisfiable 1.80s 1.85s
% Output   : Saturation 1.80s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause5,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(clause29,negated_conjecture,
    ( hskp8
    | hskp21
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

cnf(clause17,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

cnf(clause18,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

cnf(clause110,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp20
    | hskp5
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(clause68,negated_conjecture,
    ( c0_1(a205)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(clause28,negated_conjecture,
    ( hskp3
    | hskp18
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

cnf(clause102,negated_conjecture,
    ( ~ c2_1(a205)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(clause124,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(clause103,negated_conjecture,
    ( ~ c1_1(a205)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(clause43,negated_conjecture,
    ( c0_1(a214)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

cnf(clause42,negated_conjecture,
    ( c2_1(a214)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(clause70,negated_conjecture,
    ( c0_1(a202)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(clause27,negated_conjecture,
    ( hskp2
    | hskp16
    | hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

cnf(clause69,negated_conjecture,
    ( c2_1(a202)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(clause120,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp14
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(clause112,negated_conjecture,
    ( c1_1(X1)
    | hskp25
    | hskp11
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(clause74,negated_conjecture,
    ( ~ c3_1(a214)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause104,negated_conjecture,
    ( ~ c3_1(a202)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(clause121,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(clause116,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(clause113,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp10
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(clause108,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp13
    | hskp0
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(clause119,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | hskp1
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause83,negated_conjecture,
    ( ~ c1_1(a221)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(clause84,negated_conjecture,
    ( ~ c2_1(a221)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(clause85,negated_conjecture,
    ( ~ c3_1(a221)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(clause99,negated_conjecture,
    ( ~ c1_1(a210)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(clause98,negated_conjecture,
    ( ~ c2_1(a210)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

cnf(clause97,negated_conjecture,
    ( ~ c3_1(a210)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

cnf(clause111,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp7
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(clause115,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause123,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

cnf(clause118,negated_conjecture,
    ( c1_1(X2)
    | c0_1(X2)
    | c2_1(X2)
    | hskp12
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(clause117,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(clause114,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | c2_1(X2)
    | hskp15
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(clause122,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(clause109,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp23
    | hskp24
    | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(clause71,negated_conjecture,
    ( c3_1(a198)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

cnf(clause61,negated_conjecture,
    ( c3_1(a222)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

cnf(clause60,negated_conjecture,
    ( c3_1(a196)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

cnf(clause59,negated_conjecture,
    ( c3_1(a199)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(clause57,negated_conjecture,
    ( c3_1(a200)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(clause54,negated_conjecture,
    ( c3_1(a203)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(clause53,negated_conjecture,
    ( c3_1(a204)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(clause50,negated_conjecture,
    ( c3_1(a206)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(clause40,negated_conjecture,
    ( c3_1(a216)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(clause38,negated_conjecture,
    ( c3_1(a218)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(clause72,negated_conjecture,
    ( c0_1(a198)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(clause67,negated_conjecture,
    ( c0_1(a207)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(clause63,negated_conjecture,
    ( c0_1(a217)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(clause62,negated_conjecture,
    ( c0_1(a222)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(clause58,negated_conjecture,
    ( c0_1(a199)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(clause55,negated_conjecture,
    ( c0_1(a203)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(clause51,negated_conjecture,
    ( c0_1(a206)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(clause47,negated_conjecture,
    ( c0_1(a208)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(clause44,negated_conjecture,
    ( c0_1(a209)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(clause41,negated_conjecture,
    ( c0_1(a216)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(clause37,negated_conjecture,
    ( c0_1(a218)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(clause35,negated_conjecture,
    ( c0_1(a219)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(clause32,negated_conjecture,
    ( c0_1(a220)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(clause66,negated_conjecture,
    ( c2_1(a211)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(clause64,negated_conjecture,
    ( c2_1(a213)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(clause56,negated_conjecture,
    ( c2_1(a200)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(clause52,negated_conjecture,
    ( c2_1(a204)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(clause46,negated_conjecture,
    ( c2_1(a208)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(clause39,negated_conjecture,
    ( c2_1(a216)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(clause36,negated_conjecture,
    ( c2_1(a218)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(clause106,negated_conjecture,
    ( ~ c3_1(a197)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(clause107,negated_conjecture,
    ( ~ c0_1(a197)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(clause33,negated_conjecture,
    ( c2_1(a219)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(clause31,negated_conjecture,
    ( c2_1(a220)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

cnf(clause105,negated_conjecture,
    ( ~ c1_1(a198)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(clause73,negated_conjecture,
    ( c1_1(a197)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause100,negated_conjecture,
    ( ~ c3_1(a207)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause101,negated_conjecture,
    ( ~ c1_1(a207)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(clause65,negated_conjecture,
    ( c1_1(a212)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(clause95,negated_conjecture,
    ( ~ c3_1(a211)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(clause96,negated_conjecture,
    ( ~ c0_1(a211)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(clause94,negated_conjecture,
    ( ~ c3_1(a212)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(clause49,negated_conjecture,
    ( c1_1(a206)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(clause93,negated_conjecture,
    ( ~ c0_1(a212)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(clause91,negated_conjecture,
    ( ~ c3_1(a213)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(clause92,negated_conjecture,
    ( ~ c0_1(a213)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(clause90,negated_conjecture,
    ( ~ c0_1(a215)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(clause48,negated_conjecture,
    ( c1_1(a208)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(clause88,negated_conjecture,
    ( ~ c2_1(a215)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(clause89,negated_conjecture,
    ( ~ c1_1(a215)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(clause86,negated_conjecture,
    ( ~ c3_1(a217)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

cnf(clause87,negated_conjecture,
    ( ~ c1_1(a217)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(clause45,negated_conjecture,
    ( c1_1(a209)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(clause82,negated_conjecture,
    ( ~ c2_1(a222)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(clause34,negated_conjecture,
    ( c1_1(a219)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(clause81,negated_conjecture,
    ( ~ c0_1(a196)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(clause80,negated_conjecture,
    ( ~ c2_1(a196)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(clause79,negated_conjecture,
    ( ~ c2_1(a199)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(clause78,negated_conjecture,
    ( ~ c0_1(a200)
    | ~ hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(clause30,negated_conjecture,
    ( c1_1(a220)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(clause77,negated_conjecture,
    ( ~ c1_1(a203)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause76,negated_conjecture,
    ( ~ c0_1(a204)
    | ~ hskp17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(clause75,negated_conjecture,
    ( ~ c2_1(a209)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(c_0_101,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    clause5 ).

cnf(c_0_102,negated_conjecture,
    ( hskp8
    | hskp21
    | hskp9 ),
    clause29,
    [final] ).

cnf(c_0_103,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    clause17 ).

cnf(c_0_104,negated_conjecture,
    ( ndr1_0
    | ~ hskp8 ),
    clause18 ).

cnf(c_0_105,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp20
    | hskp5
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause110 ).

cnf(c_0_106,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104]),
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( c0_1(a205)
    | ~ hskp3 ),
    clause68,
    [final] ).

cnf(c_0_108,negated_conjecture,
    ( hskp3
    | hskp18
    | hskp4 ),
    clause28,
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( ~ c2_1(a205)
    | ~ hskp3 ),
    clause102,
    [final] ).

cnf(c_0_110,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X3) ),
    clause124 ).

cnf(c_0_111,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | hskp5
    | hskp20
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]),
    [final] ).

cnf(c_0_112,negated_conjecture,
    ( c0_1(a205)
    | hskp4
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]),
    [final] ).

cnf(c_0_113,negated_conjecture,
    ( hskp4
    | hskp18
    | ~ c2_1(a205) ),
    inference(spm,[status(thm)],[c_0_109,c_0_108]),
    [final] ).

cnf(c_0_114,negated_conjecture,
    ( ~ c1_1(a205)
    | ~ hskp3 ),
    clause103,
    [final] ).

cnf(c_0_115,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_106])]),
    [final] ).

cnf(c_0_116,negated_conjecture,
    ( c3_1(a205)
    | hskp4
    | hskp5
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]),
    [final] ).

cnf(c_0_117,negated_conjecture,
    ( hskp4
    | hskp18
    | ~ c1_1(a205) ),
    inference(spm,[status(thm)],[c_0_114,c_0_108]),
    [final] ).

cnf(c_0_118,negated_conjecture,
    ( c0_1(a214)
    | ~ hskp21 ),
    clause43,
    [final] ).

cnf(c_0_119,negated_conjecture,
    ( c2_1(a214)
    | ~ hskp21 ),
    clause42,
    [final] ).

cnf(c_0_120,negated_conjecture,
    ( c0_1(a202)
    | ~ hskp2 ),
    clause70,
    [final] ).

cnf(c_0_121,negated_conjecture,
    ( hskp2
    | hskp16
    | hskp17 ),
    clause27,
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( c2_1(a202)
    | ~ hskp2 ),
    clause69,
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp14
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause120 ).

cnf(c_0_124,negated_conjecture,
    ( c1_1(X1)
    | hskp25
    | hskp11
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    clause112 ).

cnf(c_0_125,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp5
    | hskp18
    | hskp20
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_112]),c_0_117]),
    [final] ).

cnf(c_0_126,negated_conjecture,
    ( c0_1(a214)
    | hskp8
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_118,c_0_102]),
    [final] ).

cnf(c_0_127,negated_conjecture,
    ( c2_1(a214)
    | hskp8
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_119,c_0_102]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ c3_1(a214)
    | ~ hskp21 ),
    clause74,
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( c0_1(a202)
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( c2_1(a202)
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_122,c_0_121]),
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( ~ c3_1(a202)
    | ~ hskp2 ),
    clause104,
    [final] ).

cnf(c_0_132,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | c2_1(X3)
    | c0_1(X3)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    clause121 ).

cnf(c_0_133,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp14
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_106])]),
    [final] ).

cnf(c_0_134,negated_conjecture,
    ( c1_1(X1)
    | hskp11
    | hskp25
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_106])]),
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( c3_1(X1)
    | c1_1(a214)
    | c1_1(X1)
    | hskp4
    | hskp5
    | hskp8
    | hskp9
    | hskp18
    | hskp20
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).

cnf(c_0_136,negated_conjecture,
    ( hskp8
    | hskp9
    | ~ c3_1(a214) ),
    inference(spm,[status(thm)],[c_0_128,c_0_102]),
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( c3_1(X1)
    | c1_1(a202)
    | c1_1(X1)
    | hskp4
    | hskp5
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_129]),c_0_130]) ).

cnf(c_0_138,negated_conjecture,
    ( hskp16
    | hskp17
    | ~ c3_1(a202) ),
    inference(spm,[status(thm)],[c_0_131,c_0_121]),
    [final] ).

cnf(c_0_139,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    clause116 ).

cnf(c_0_140,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_106])]),
    [final] ).

cnf(c_0_141,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp10
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2) ),
    clause113 ).

cnf(c_0_142,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp13
    | hskp0
    | ~ ndr1_0 ),
    clause108 ).

cnf(c_0_143,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp8
    | hskp9
    | hskp14
    | ~ c0_1(X1)
    | ~ c1_1(a214) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_126]),c_0_127]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( c1_1(a214)
    | hskp8
    | hskp9
    | hskp11
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_126]),c_0_127]),
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( c1_1(a214)
    | hskp4
    | hskp5
    | hskp8
    | hskp9
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_126]),c_0_136]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp14
    | hskp16
    | hskp17
    | ~ c0_1(X1)
    | ~ c1_1(a202) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_129]),c_0_130]),
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( c1_1(a202)
    | hskp4
    | hskp5
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_129]),c_0_138]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    ( c1_1(a202)
    | hskp11
    | hskp16
    | hskp17
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_129]),c_0_130]),
    [final] ).

cnf(c_0_149,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | hskp19
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_106])]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(a214)
    | c1_1(X2)
    | c1_1(X1)
    | hskp8
    | hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_126]),c_0_136]),
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(a202)
    | c1_1(X2)
    | c1_1(X1)
    | hskp16
    | hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_129]),c_0_138]),
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | hskp10
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_106])]),
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp0
    | hskp13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_106])]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( c1_1(X1)
    | hskp8
    | hskp9
    | hskp11
    | hskp14
    | hskp25
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_134]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp5
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_145]) ).

cnf(c_0_156,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp5
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_157,negated_conjecture,
    ( c1_1(X1)
    | hskp11
    | hskp14
    | hskp16
    | hskp17
    | hskp25
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_148]),c_0_134]),
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | hskp8
    | hskp9
    | hskp19
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_126]),c_0_127]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | c1_1(X1)
    | hskp8
    | hskp9 ),
    inference(ef,[status(thm)],[c_0_150]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | hskp16
    | hskp17
    | hskp19
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_129]),c_0_130]),
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | c1_1(X1)
    | hskp16
    | hskp17 ),
    inference(ef,[status(thm)],[c_0_151]),
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | hskp1
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    clause119 ).

cnf(c_0_163,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp0
    | hskp10
    | hskp13
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]),
    [final] ).

cnf(c_0_164,negated_conjecture,
    ( ~ c1_1(a221)
    | ~ hskp11 ),
    clause83,
    [final] ).

cnf(c_0_165,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp9
    | hskp11
    | hskp14
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_112]),c_0_117]),
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( ~ c2_1(a221)
    | ~ hskp11 ),
    clause84,
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( ~ c3_1(a221)
    | ~ hskp11 ),
    clause85,
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( ~ c1_1(a210)
    | ~ hskp5 ),
    clause99,
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( hskp4
    | hskp5
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( ~ c2_1(a210)
    | ~ hskp5 ),
    clause98,
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( ~ c3_1(a210)
    | ~ hskp5 ),
    clause97,
    [final] ).

cnf(c_0_172,negated_conjecture,
    ( hskp4
    | hskp5
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( hskp4
    | hskp11
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_112]),c_0_117]),
    [final] ).

cnf(c_0_174,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | hskp8
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]),
    [final] ).

cnf(c_0_175,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | hskp16
    | hskp17
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]),
    [final] ).

cnf(c_0_176,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | hskp1
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_106])]),
    [final] ).

cnf(c_0_177,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | hskp0
    | hskp10
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_163,c_0_153]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25
    | ~ c1_1(a221) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]),
    [final] ).

cnf(c_0_179,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25
    | ~ c2_1(a221) ),
    inference(spm,[status(thm)],[c_0_166,c_0_165]),
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25
    | ~ c3_1(a221) ),
    inference(spm,[status(thm)],[c_0_167,c_0_165]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20
    | ~ c1_1(a210) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20
    | ~ c2_1(a210) ),
    inference(spm,[status(thm)],[c_0_170,c_0_169]),
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20
    | ~ c3_1(a210) ),
    inference(spm,[status(thm)],[c_0_171,c_0_169]),
    [final] ).

cnf(c_0_184,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c1_1(a210) ),
    inference(spm,[status(thm)],[c_0_168,c_0_172]),
    [final] ).

cnf(c_0_185,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c2_1(a210) ),
    inference(spm,[status(thm)],[c_0_170,c_0_172]),
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c3_1(a210) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]),
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25
    | ~ c1_1(a221) ),
    inference(spm,[status(thm)],[c_0_164,c_0_173]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25
    | ~ c2_1(a221) ),
    inference(spm,[status(thm)],[c_0_166,c_0_173]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25
    | ~ c3_1(a221) ),
    inference(spm,[status(thm)],[c_0_167,c_0_173]),
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_112]),c_0_117]) ).

cnf(c_0_191,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp6
    | hskp7
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause111 ).

cnf(c_0_192,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(a214)
    | c1_1(X2)
    | hskp8
    | hskp9
    | hskp10
    | hskp19
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_174]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(a202)
    | c1_1(X2)
    | hskp10
    | hskp16
    | hskp17
    | hskp19
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_175]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp10
    | hskp13
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_177]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( c0_1(a221)
    | c1_1(a214)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_159]),c_0_179]),c_0_180]) ).

cnf(c_0_196,negated_conjecture,
    ( c0_1(a210)
    | c1_1(a214)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_159]),c_0_182]),c_0_183]) ).

cnf(c_0_197,negated_conjecture,
    ( c0_1(a210)
    | c1_1(a202)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_161]),c_0_185]),c_0_186]) ).

cnf(c_0_198,negated_conjecture,
    ( c0_1(a221)
    | c1_1(a202)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_161]),c_0_188]),c_0_189]) ).

cnf(c_0_199,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp8
    | hskp9
    | hskp14
    | hskp19
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_174]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp14
    | hskp16
    | hskp17
    | hskp19
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_175]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp18 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_190]),c_0_113]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_150]),c_0_179]),c_0_180]) ).

cnf(c_0_203,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_150]),c_0_182]),c_0_183]) ).

cnf(c_0_204,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_151]),c_0_188]),c_0_189]) ).

cnf(c_0_205,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_151]),c_0_185]),c_0_186]) ).

cnf(c_0_206,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp6
    | hskp7
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_106])]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(a214)
    | c1_1(X1)
    | hskp8
    | hskp9
    | hskp10
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_192,c_0_174]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(a202)
    | c1_1(X1)
    | hskp10
    | hskp16
    | hskp17
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_193,c_0_175]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c1_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp10
    | hskp13
    | hskp16
    | hskp17
    | ~ c1_1(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_151]),c_0_194]),c_0_163]),c_0_138]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( c0_1(a221)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_195]) ).

cnf(c_0_211,negated_conjecture,
    ( c0_1(a210)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_196]) ).

cnf(c_0_212,negated_conjecture,
    ( c0_1(a210)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_197]) ).

cnf(c_0_213,negated_conjecture,
    ( c0_1(a221)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_198]) ).

cnf(c_0_214,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(a214)
    | c1_1(X1)
    | hskp8
    | hskp9
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_158,c_0_150]),
    [final] ).

cnf(c_0_215,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(a202)
    | c1_1(X1)
    | hskp16
    | hskp17
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_160,c_0_151]),
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_218,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | hskp4
    | hskp8
    | hskp9
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_158,c_0_201]),
    [final] ).

cnf(c_0_219,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | hskp4
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_160,c_0_201]),
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_158,c_0_202]) ).

cnf(c_0_221,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_158,c_0_203]) ).

cnf(c_0_222,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_160,c_0_204]) ).

cnf(c_0_223,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_160,c_0_205]) ).

cnf(c_0_224,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(a214)
    | c1_1(X1)
    | c1_1(X2)
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_206]) ).

cnf(c_0_225,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(a202)
    | c1_1(X1)
    | c1_1(X2)
    | hskp6
    | hskp7
    | hskp10
    | hskp16
    | hskp17
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_208]),c_0_206]) ).

cnf(c_0_226,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp8
    | hskp9
    | hskp14
    | ~ c0_1(X3) ),
    inference(spm,[status(thm)],[c_0_143,c_0_150]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c1_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | ~ c1_1(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_150]),c_0_194]),c_0_163]),c_0_136]),
    [final] ).

cnf(c_0_228,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X4)
    | c0_1(X2)
    | c0_1(X5)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c1_1(a202)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X5)
    | hskp0
    | hskp1
    | hskp10
    | hskp13
    | hskp16
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_209,c_0_151]) ).

cnf(c_0_229,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_202]) ).

cnf(c_0_230,negated_conjecture,
    ( c0_1(a221)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_231,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_203]) ).

cnf(c_0_232,negated_conjecture,
    ( c0_1(a210)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_205]) ).

cnf(c_0_234,negated_conjecture,
    ( c0_1(a210)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_204]) ).

cnf(c_0_236,negated_conjecture,
    ( c0_1(a221)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_237,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | hskp8
    | hskp9
    | hskp14
    | hskp19
    | ~ c0_1(X3) ),
    inference(spm,[status(thm)],[c_0_143,c_0_214]),
    [final] ).

cnf(c_0_238,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | hskp14
    | hskp16
    | hskp17
    | hskp19
    | ~ c0_1(X3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_215]),
    [final] ).

cnf(c_0_239,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    clause115 ).

cnf(c_0_240,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_216]),
    [final] ).

cnf(c_0_241,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c2_1(X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_217]),
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_218]),c_0_201]) ).

cnf(c_0_243,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_219]),c_0_201]) ).

cnf(c_0_244,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19
    | hskp25
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_220]) ).

cnf(c_0_245,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19
    | hskp20
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_221]) ).

cnf(c_0_246,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp25
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_222]) ).

cnf(c_0_247,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp20
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_223]) ).

cnf(c_0_248,negated_conjecture,
    ( c0_1(X1)
    | c1_1(a214)
    | c1_1(X1)
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp19 ),
    inference(ef,[status(thm)],[c_0_224]),
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( c0_1(X1)
    | c1_1(a202)
    | c1_1(X1)
    | hskp6
    | hskp7
    | hskp10
    | hskp16
    | hskp17
    | hskp19 ),
    inference(ef,[status(thm)],[c_0_225]),
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp0
    | hskp6
    | hskp7
    | hskp10
    | hskp13 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_177]),c_0_206]) ).

cnf(c_0_251,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_252,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X4)
    | c0_1(X2)
    | c0_1(X5)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c1_1(a214)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X5)
    | hskp0
    | hskp1
    | hskp8
    | hskp9
    | hskp10
    | hskp13 ),
    inference(spm,[status(thm)],[c_0_227,c_0_150]) ).

cnf(c_0_253,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c1_1(a202)
    | c1_1(X2)
    | c1_1(X3)
    | hskp0
    | hskp1
    | hskp10
    | hskp13
    | hskp16
    | hskp17 ),
    inference(ef,[status(thm)],[c_0_228]),
    [final] ).

cnf(c_0_254,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_178]),c_0_179]),
    [final] ).

cnf(c_0_255,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_181]),c_0_182]),
    [final] ).

cnf(c_0_256,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_184]),c_0_185]),
    [final] ).

cnf(c_0_257,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_187]),c_0_188]),
    [final] ).

cnf(c_0_258,negated_conjecture,
    ( c0_1(X2)
    | c1_1(X2)
    | c0_1(X3)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X3) ),
    clause123 ).

cnf(c_0_259,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_260,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_261,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_106])]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_240,c_0_216]),
    [final] ).

cnf(c_0_263,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_241,c_0_217]),
    [final] ).

cnf(c_0_264,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_242]),c_0_113]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_243]),c_0_113]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ( c1_1(X2)
    | c0_1(X2)
    | c2_1(X2)
    | hskp12
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    clause118 ).

cnf(c_0_267,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_230]),c_0_178]),c_0_179]),
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18
    | hskp19
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_232]),c_0_181]),c_0_182]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_236]),c_0_187]),c_0_188]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp20 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_234]),c_0_184]),c_0_185]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_158,c_0_248]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | hskp6
    | hskp7
    | hskp10
    | hskp16
    | hskp17
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_160,c_0_249]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp0
    | hskp6
    | hskp7
    | hskp10
    | hskp13 ),
    inference(ef,[status(thm)],[c_0_250]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X4)
    | c0_1(X2)
    | c0_1(X5)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X5)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_227,c_0_251]) ).

cnf(c_0_275,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c1_1(a214)
    | c1_1(X2)
    | c1_1(X3)
    | hskp0
    | hskp1
    | hskp8
    | hskp9
    | hskp10
    | hskp13 ),
    inference(ef,[status(thm)],[c_0_252]),
    [final] ).

cnf(c_0_276,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X4)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c2_1(X5)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X5)
    | hskp0
    | hskp1
    | hskp10
    | hskp13
    | hskp14
    | hskp16
    | hskp17
    | ~ c0_1(X5) ),
    inference(spm,[status(thm)],[c_0_146,c_0_253]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X4)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | hskp18
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_227,c_0_254]) ).

cnf(c_0_278,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X4)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | hskp18
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_227,c_0_255]) ).

cnf(c_0_279,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X4)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(spm,[status(thm)],[c_0_209,c_0_256]) ).

cnf(c_0_280,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X4)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_209,c_0_257]) ).

cnf(c_0_281,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X4)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_227,c_0_201]) ).

cnf(c_0_282,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X4)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp16
    | hskp17
    | hskp18 ),
    inference(spm,[status(thm)],[c_0_209,c_0_201]) ).

cnf(c_0_283,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_106])]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X3)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_240,c_0_259]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X3)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_241,c_0_260]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(a214)
    | c1_1(X1)
    | c1_1(X3)
    | hskp8
    | hskp9
    | hskp10
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_192,c_0_214]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(a202)
    | c1_1(X1)
    | c1_1(X3)
    | hskp10
    | hskp16
    | hskp17
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_193,c_0_215]),
    [final] ).

cnf(c_0_288,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | hskp0
    | hskp10
    | hskp13
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_177]),c_0_153]),
    [final] ).

cnf(c_0_289,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_262]),c_0_262]),
    [final] ).

cnf(c_0_290,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | hskp1
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_263]),c_0_263]),
    [final] ).

cnf(c_0_291,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(a214)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_192,c_0_218]),
    [final] ).

cnf(c_0_292,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(a202)
    | c1_1(X2)
    | hskp4
    | hskp10
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_193,c_0_219]),
    [final] ).

cnf(c_0_293,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_240,c_0_264]),
    [final] ).

cnf(c_0_294,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_241,c_0_265]),
    [final] ).

cnf(c_0_295,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp12
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_106])]),
    [final] ).

cnf(c_0_296,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_240,c_0_267]),
    [final] ).

cnf(c_0_297,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp8
    | hskp9
    | hskp10
    | hskp11
    | hskp13
    | hskp25
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_144]),c_0_136]),
    [final] ).

cnf(c_0_298,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp10
    | hskp11
    | hskp13
    | hskp16
    | hskp17
    | hskp25
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_148]),c_0_138]),
    [final] ).

cnf(c_0_299,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_268]),c_0_268]),
    [final] ).

cnf(c_0_300,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp14
    | hskp16
    | hskp17
    | ~ c0_1(X3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_151]),
    [final] ).

cnf(c_0_301,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_269]),c_0_269]),
    [final] ).

cnf(c_0_302,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X2)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_270]),c_0_270]),
    [final] ).

cnf(c_0_303,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp19
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_271]),
    [final] ).

cnf(c_0_304,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp19
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_248]),
    [final] ).

cnf(c_0_305,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp6
    | hskp7
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp19
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_272]),
    [final] ).

cnf(c_0_306,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp6
    | hskp7
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp19
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_249]),
    [final] ).

cnf(c_0_307,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a214)
    | hskp0
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_158,c_0_273]) ).

cnf(c_0_308,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a202)
    | hskp0
    | hskp6
    | hskp7
    | hskp10
    | hskp13
    | hskp16
    | hskp17
    | hskp19 ),
    inference(spm,[status(thm)],[c_0_160,c_0_273]) ).

cnf(c_0_309,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp8
    | hskp9
    | hskp14
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_143,c_0_159]),
    [final] ).

cnf(c_0_310,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | hskp14
    | hskp16
    | hskp17
    | ~ c0_1(X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_161]),
    [final] ).

cnf(c_0_311,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    clause117 ).

cnf(c_0_312,negated_conjecture,
    ( c0_1(X2)
    | c3_1(X2)
    | c2_1(X2)
    | hskp15
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    clause114 ).

cnf(c_0_313,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X3)
    | c0_1(X3)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    clause122 ).

cnf(c_0_314,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp23
    | hskp24
    | ~ ndr1_0 ),
    clause109 ).

cnf(c_0_315,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | hskp18 ),
    inference(ef,[status(thm)],[c_0_274]),
    [final] ).

cnf(c_0_316,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X4)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c2_1(X5)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X5)
    | hskp0
    | hskp1
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | ~ c0_1(X5) ),
    inference(spm,[status(thm)],[c_0_143,c_0_275]),
    [final] ).

cnf(c_0_317,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c2_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp14
    | hskp16
    | hskp17
    | hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_318,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | hskp18
    | hskp25 ),
    inference(ef,[status(thm)],[c_0_277]),
    [final] ).

cnf(c_0_319,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | hskp18
    | hskp20 ),
    inference(ef,[status(thm)],[c_0_278]),
    [final] ).

cnf(c_0_320,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp20 ),
    inference(ef,[status(thm)],[c_0_279]),
    [final] ).

cnf(c_0_321,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(ef,[status(thm)],[c_0_280]),
    [final] ).

cnf(c_0_322,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp18 ),
    inference(ef,[status(thm)],[c_0_281]),
    [final] ).

cnf(c_0_323,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp16
    | hskp17
    | hskp18 ),
    inference(ef,[status(thm)],[c_0_282]),
    [final] ).

cnf(c_0_324,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c0_1(X4)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c1_1(X3)
    | c1_1(X4)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | ~ c3_1(X5)
    | ~ c0_1(X5)
    | ~ c2_1(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_259]),
    [final] ).

cnf(c_0_325,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c0_1(X4)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | c1_1(X3)
    | c1_1(X4)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c3_1(X5)
    | ~ c0_1(X5)
    | ~ c2_1(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_285]),c_0_260]),
    [final] ).

cnf(c_0_326,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c0_1(X4)
    | c2_1(X1)
    | c1_1(a214)
    | c1_1(X2)
    | c1_1(X1)
    | c1_1(X3)
    | c1_1(X4)
    | hskp8
    | hskp9
    | hskp10
    | hskp19
    | ~ c3_1(X5)
    | ~ c0_1(X5)
    | ~ c2_1(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_286]),c_0_214]),
    [final] ).

cnf(c_0_327,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c0_1(X4)
    | c2_1(X1)
    | c1_1(a202)
    | c1_1(X2)
    | c1_1(X1)
    | c1_1(X3)
    | c1_1(X4)
    | hskp10
    | hskp16
    | hskp17
    | hskp19
    | ~ c3_1(X5)
    | ~ c0_1(X5)
    | ~ c2_1(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_287]),c_0_215]),
    [final] ).

cnf(c_0_328,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp19
    | ~ c1_1(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_214]),c_0_194]),c_0_288]),c_0_136]),
    [final] ).

cnf(c_0_329,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_218]),c_0_201]),c_0_288]),c_0_136]),
    [final] ).

cnf(c_0_330,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X1)
    | c2_1(X4)
    | c1_1(X2)
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | ~ c1_1(X4) ),
    inference(spm,[status(thm)],[c_0_289,c_0_259]),
    [final] ).

cnf(c_0_331,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X3)
    | c2_1(X1)
    | c2_1(X4)
    | c1_1(X2)
    | hskp1
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c1_1(X4) ),
    inference(spm,[status(thm)],[c_0_290,c_0_260]),
    [final] ).

cnf(c_0_332,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X4)
    | c2_1(X1)
    | c2_1(X4)
    | c1_1(X2)
    | hskp0
    | hskp1
    | hskp10
    | hskp13
    | hskp16
    | hskp17
    | hskp19
    | ~ c1_1(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_215]),c_0_194]),c_0_288]),c_0_138]),
    [final] ).

cnf(c_0_333,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp13
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_219]),c_0_201]),c_0_288]),c_0_138]),
    [final] ).

cnf(c_0_334,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(a214)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp18
    | hskp19
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_291]),c_0_201]),
    [final] ).

cnf(c_0_335,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(a202)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp10
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_292]),c_0_201]),
    [final] ).

cnf(c_0_336,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_293]),c_0_201]),
    [final] ).

cnf(c_0_337,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X4)
    | c1_1(X3)
    | c1_1(X2)
    | c1_1(X4)
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp19
    | ~ c0_1(X4) ),
    inference(spm,[status(thm)],[c_0_143,c_0_286]),
    [final] ).

cnf(c_0_338,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X2)
    | c2_1(X4)
    | c1_1(X3)
    | c1_1(X2)
    | c1_1(X4)
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp19
    | ~ c0_1(X4) ),
    inference(spm,[status(thm)],[c_0_146,c_0_287]),
    [final] ).

cnf(c_0_339,negated_conjecture,
    ( c3_1(a205)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_294]),c_0_201]),
    [final] ).

cnf(c_0_340,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp12
    | hskp14
    | hskp18
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_262]),c_0_240]),c_0_240]),
    [final] ).

cnf(c_0_341,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | hskp4
    | hskp10
    | hskp12
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_263]),c_0_241]),c_0_241]),
    [final] ).

cnf(c_0_342,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | hskp25
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_296]),c_0_267]),
    [final] ).

cnf(c_0_343,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp11
    | hskp13
    | hskp18
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_297,c_0_201]),
    [final] ).

cnf(c_0_344,negated_conjecture,
    ( c3_1(a205)
    | c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp4
    | hskp10
    | hskp11
    | hskp13
    | hskp16
    | hskp17
    | hskp18
    | hskp25 ),
    inference(spm,[status(thm)],[c_0_298,c_0_201]),
    [final] ).

cnf(c_0_345,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | hskp20
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_299]),c_0_268]),
    [final] ).

cnf(c_0_346,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp4
    | hskp5
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp18
    | hskp20
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_145]),c_0_136]),
    [final] ).

cnf(c_0_347,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | hskp0
    | hskp1
    | hskp4
    | hskp5
    | hskp10
    | hskp13
    | hskp16
    | hskp17
    | hskp18
    | hskp20
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_147]),c_0_138]),
    [final] ).

cnf(c_0_348,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_349,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(a214)
    | c1_1(X1)
    | hskp8
    | hskp9
    | hskp10
    | hskp12
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_207]),c_0_192]),c_0_158]),
    [final] ).

cnf(c_0_350,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(a202)
    | c1_1(X1)
    | hskp10
    | hskp12
    | hskp16
    | hskp17
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_208]),c_0_193]),c_0_160]),
    [final] ).

cnf(c_0_351,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | hskp0
    | hskp4
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_216]),
    [final] ).

cnf(c_0_352,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(X1)
    | hskp0
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_263]),c_0_217]),
    [final] ).

cnf(c_0_353,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp25
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_301]),c_0_269]),
    [final] ).

cnf(c_0_354,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(a214)
    | c1_1(X1)
    | hskp0
    | hskp8
    | hskp9
    | hskp10
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_207]),c_0_174]),
    [final] ).

cnf(c_0_355,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X3)
    | c1_1(a202)
    | c1_1(X1)
    | hskp0
    | hskp10
    | hskp16
    | hskp17
    | hskp19
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_208]),c_0_175]),
    [final] ).

cnf(c_0_356,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | hskp4
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19
    | hskp20
    | ~ c3_1(X4)
    | ~ c0_1(X4)
    | ~ c2_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_302]),c_0_270]),
    [final] ).

cnf(c_0_357,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_358,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_359,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | hskp4
    | hskp6
    | hskp7
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_360,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp6
    | hskp7
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp18
    | hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_361,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | hskp8
    | hskp9
    | hskp10
    | hskp14
    | hskp19
    | ~ c0_1(X3) ),
    inference(spm,[status(thm)],[c_0_143,c_0_207]),
    [final] ).

cnf(c_0_362,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | c1_1(X3)
    | hskp10
    | hskp14
    | hskp16
    | hskp17
    | hskp19
    | ~ c0_1(X3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_208]),
    [final] ).

cnf(c_0_363,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp0
    | hskp6
    | hskp7
    | hskp8
    | hskp9
    | hskp10
    | hskp13
    | hskp14
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_307]),c_0_273]),
    [final] ).

cnf(c_0_364,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp0
    | hskp6
    | hskp7
    | hskp10
    | hskp13
    | hskp14
    | hskp16
    | hskp17
    | hskp19 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_308]),c_0_273]),
    [final] ).

cnf(c_0_365,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp8
    | hskp9
    | hskp14
    | hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_366,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp4
    | hskp14
    | hskp16
    | hskp17
    | hskp18 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_112]),c_0_117]),c_0_113]),
    [final] ).

cnf(c_0_367,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | hskp22
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_311,c_0_106])]),
    [final] ).

cnf(c_0_368,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp15
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_106])]),
    [final] ).

cnf(c_0_369,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | ~ c3_1(X3)
    | ~ c0_1(X1)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_106])]),
    [final] ).

cnf(c_0_370,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp23
    | hskp24 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_106])]),
    [final] ).

cnf(c_0_371,negated_conjecture,
    ( c3_1(a198)
    | ~ hskp1 ),
    clause71,
    [final] ).

cnf(c_0_372,negated_conjecture,
    ( c3_1(a222)
    | ~ hskp12 ),
    clause61,
    [final] ).

cnf(c_0_373,negated_conjecture,
    ( c3_1(a196)
    | ~ hskp13 ),
    clause60,
    [final] ).

cnf(c_0_374,negated_conjecture,
    ( c3_1(a199)
    | ~ hskp14 ),
    clause59,
    [final] ).

cnf(c_0_375,negated_conjecture,
    ( c3_1(a200)
    | ~ hskp15 ),
    clause57,
    [final] ).

cnf(c_0_376,negated_conjecture,
    ( c3_1(a203)
    | ~ hskp16 ),
    clause54,
    [final] ).

cnf(c_0_377,negated_conjecture,
    ( c3_1(a204)
    | ~ hskp17 ),
    clause53,
    [final] ).

cnf(c_0_378,negated_conjecture,
    ( c3_1(a206)
    | ~ hskp18 ),
    clause50,
    [final] ).

cnf(c_0_379,negated_conjecture,
    ( c3_1(a216)
    | ~ hskp22 ),
    clause40,
    [final] ).

cnf(c_0_380,negated_conjecture,
    ( c3_1(a218)
    | ~ hskp23 ),
    clause38,
    [final] ).

cnf(c_0_381,negated_conjecture,
    ( c0_1(a198)
    | ~ hskp1 ),
    clause72,
    [final] ).

cnf(c_0_382,negated_conjecture,
    ( c0_1(a207)
    | ~ hskp4 ),
    clause67,
    [final] ).

cnf(c_0_383,negated_conjecture,
    ( c0_1(a217)
    | ~ hskp10 ),
    clause63,
    [final] ).

cnf(c_0_384,negated_conjecture,
    ( c0_1(a222)
    | ~ hskp12 ),
    clause62,
    [final] ).

cnf(c_0_385,negated_conjecture,
    ( c0_1(a199)
    | ~ hskp14 ),
    clause58,
    [final] ).

cnf(c_0_386,negated_conjecture,
    ( c0_1(a203)
    | ~ hskp16 ),
    clause55,
    [final] ).

cnf(c_0_387,negated_conjecture,
    ( c0_1(a206)
    | ~ hskp18 ),
    clause51,
    [final] ).

cnf(c_0_388,negated_conjecture,
    ( c0_1(a208)
    | ~ hskp19 ),
    clause47,
    [final] ).

cnf(c_0_389,negated_conjecture,
    ( c0_1(a209)
    | ~ hskp20 ),
    clause44,
    [final] ).

cnf(c_0_390,negated_conjecture,
    ( c0_1(a216)
    | ~ hskp22 ),
    clause41,
    [final] ).

cnf(c_0_391,negated_conjecture,
    ( c0_1(a218)
    | ~ hskp23 ),
    clause37,
    [final] ).

cnf(c_0_392,negated_conjecture,
    ( c0_1(a219)
    | ~ hskp24 ),
    clause35,
    [final] ).

cnf(c_0_393,negated_conjecture,
    ( c0_1(a220)
    | ~ hskp25 ),
    clause32,
    [final] ).

cnf(c_0_394,negated_conjecture,
    ( c2_1(a211)
    | ~ hskp6 ),
    clause66,
    [final] ).

cnf(c_0_395,negated_conjecture,
    ( c2_1(a213)
    | ~ hskp8 ),
    clause64,
    [final] ).

cnf(c_0_396,negated_conjecture,
    ( c2_1(a200)
    | ~ hskp15 ),
    clause56,
    [final] ).

cnf(c_0_397,negated_conjecture,
    ( c2_1(a204)
    | ~ hskp17 ),
    clause52,
    [final] ).

cnf(c_0_398,negated_conjecture,
    ( c2_1(a208)
    | ~ hskp19 ),
    clause46,
    [final] ).

cnf(c_0_399,negated_conjecture,
    ( c2_1(a216)
    | ~ hskp22 ),
    clause39,
    [final] ).

cnf(c_0_400,negated_conjecture,
    ( c2_1(a218)
    | ~ hskp23 ),
    clause36,
    [final] ).

cnf(c_0_401,negated_conjecture,
    ( ~ c3_1(a197)
    | ~ hskp0 ),
    clause106,
    [final] ).

cnf(c_0_402,negated_conjecture,
    ( ~ c0_1(a197)
    | ~ hskp0 ),
    clause107,
    [final] ).

cnf(c_0_403,negated_conjecture,
    ( c2_1(a219)
    | ~ hskp24 ),
    clause33,
    [final] ).

cnf(c_0_404,negated_conjecture,
    ( c2_1(a220)
    | ~ hskp25 ),
    clause31,
    [final] ).

cnf(c_0_405,negated_conjecture,
    ( ~ c1_1(a198)
    | ~ hskp1 ),
    clause105,
    [final] ).

cnf(c_0_406,negated_conjecture,
    ( c1_1(a197)
    | ~ hskp0 ),
    clause73,
    [final] ).

cnf(c_0_407,negated_conjecture,
    ( ~ c3_1(a207)
    | ~ hskp4 ),
    clause100,
    [final] ).

cnf(c_0_408,negated_conjecture,
    ( ~ c1_1(a207)
    | ~ hskp4 ),
    clause101,
    [final] ).

cnf(c_0_409,negated_conjecture,
    ( c1_1(a212)
    | ~ hskp7 ),
    clause65,
    [final] ).

cnf(c_0_410,negated_conjecture,
    ( ~ c3_1(a211)
    | ~ hskp6 ),
    clause95,
    [final] ).

cnf(c_0_411,negated_conjecture,
    ( ~ c0_1(a211)
    | ~ hskp6 ),
    clause96,
    [final] ).

cnf(c_0_412,negated_conjecture,
    ( ~ c3_1(a212)
    | ~ hskp7 ),
    clause94,
    [final] ).

cnf(c_0_413,negated_conjecture,
    ( c1_1(a206)
    | ~ hskp18 ),
    clause49,
    [final] ).

cnf(c_0_414,negated_conjecture,
    ( ~ c0_1(a212)
    | ~ hskp7 ),
    clause93,
    [final] ).

cnf(c_0_415,negated_conjecture,
    ( ~ c3_1(a213)
    | ~ hskp8 ),
    clause91,
    [final] ).

cnf(c_0_416,negated_conjecture,
    ( ~ c0_1(a213)
    | ~ hskp8 ),
    clause92,
    [final] ).

cnf(c_0_417,negated_conjecture,
    ( ~ c0_1(a215)
    | ~ hskp9 ),
    clause90,
    [final] ).

cnf(c_0_418,negated_conjecture,
    ( c1_1(a208)
    | ~ hskp19 ),
    clause48,
    [final] ).

cnf(c_0_419,negated_conjecture,
    ( ~ c2_1(a215)
    | ~ hskp9 ),
    clause88,
    [final] ).

cnf(c_0_420,negated_conjecture,
    ( ~ c1_1(a215)
    | ~ hskp9 ),
    clause89,
    [final] ).

cnf(c_0_421,negated_conjecture,
    ( ~ c3_1(a217)
    | ~ hskp10 ),
    clause86,
    [final] ).

cnf(c_0_422,negated_conjecture,
    ( ~ c1_1(a217)
    | ~ hskp10 ),
    clause87,
    [final] ).

cnf(c_0_423,negated_conjecture,
    ( c1_1(a209)
    | ~ hskp20 ),
    clause45,
    [final] ).

cnf(c_0_424,negated_conjecture,
    ( ~ c2_1(a222)
    | ~ hskp12 ),
    clause82,
    [final] ).

cnf(c_0_425,negated_conjecture,
    ( c1_1(a219)
    | ~ hskp24 ),
    clause34,
    [final] ).

cnf(c_0_426,negated_conjecture,
    ( ~ c0_1(a196)
    | ~ hskp13 ),
    clause81,
    [final] ).

cnf(c_0_427,negated_conjecture,
    ( ~ c2_1(a196)
    | ~ hskp13 ),
    clause80,
    [final] ).

cnf(c_0_428,negated_conjecture,
    ( ~ c2_1(a199)
    | ~ hskp14 ),
    clause79,
    [final] ).

cnf(c_0_429,negated_conjecture,
    ( ~ c0_1(a200)
    | ~ hskp15 ),
    clause78,
    [final] ).

cnf(c_0_430,negated_conjecture,
    ( c1_1(a220)
    | ~ hskp25 ),
    clause30,
    [final] ).

cnf(c_0_431,negated_conjecture,
    ( ~ c1_1(a203)
    | ~ hskp16 ),
    clause77,
    [final] ).

cnf(c_0_432,negated_conjecture,
    ( ~ c0_1(a204)
    | ~ hskp17 ),
    clause76,
    [final] ).

cnf(c_0_433,negated_conjecture,
    ( ~ c2_1(a209)
    | ~ hskp20 ),
    clause75,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN433-1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12  % 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
% 0.14/0.33  % Computer : n014.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 08:32:07 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.80/1.85  % Version  : CSE_E---1.7
% 1.80/1.85  % Problem  : theBenchmark.p
% 1.80/1.85  % SZS status Satisfiable for theBenchmark.p
% 1.80/1.85  % SZS output start Saturation
% See solution above
% 1.80/1.86  % Total time : 1.371s
%------------------------------------------------------------------------------