TSTP Solution File: SYN510-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN510-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:31:23 EDT 2024

% Result   : Unsatisfiable 3.97s 1.16s
% Output   : CNFRefutation 3.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   81
% Syntax   : Number of clauses     :  290 (   2 unt; 184 nHn; 266 RR)
%            Number of literals    : 1266 (   0 equ; 641 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   48 (  47 usr;  44 prp; 0-1 aty)
%            Number of functors    :   15 (  15 usr;  15 con; 0-0 aty)
%            Number of variables   :  208 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_54,negated_conjecture,
    ( ~ hskp26
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

cnf(c_74,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

cnf(c_78,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(c_80,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(c_83,negated_conjecture,
    ( hskp31
    | hskp16
    | hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(c_84,negated_conjecture,
    ( hskp31
    | hskp22
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(c_93,negated_conjecture,
    ( hskp26
    | hskp6
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(c_95,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(c_96,negated_conjecture,
    ( ~ hskp31
    | c0_1(a563) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

cnf(c_97,negated_conjecture,
    ( ~ hskp31
    | c1_1(a563) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(c_98,negated_conjecture,
    ( ~ hskp31
    | c3_1(a563) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

cnf(c_99,negated_conjecture,
    ( ~ hskp30
    | c1_1(a562) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

cnf(c_100,negated_conjecture,
    ( ~ hskp30
    | c2_1(a562) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp30
    | c3_1(a562) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp22
    | c3_1(a584) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp21
    | c2_1(a582) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

cnf(c_116,negated_conjecture,
    ( ~ hskp21
    | c3_1(a582) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp20
    | c1_1(a580) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp19
    | c0_1(a576) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

cnf(c_120,negated_conjecture,
    ( ~ hskp16
    | c1_1(a570) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp14
    | c2_1(a566) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp14
    | c3_1(a566) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp13
    | c0_1(a565) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp13
    | c3_1(a565) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp12
    | c0_1(a564) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp12
    | c3_1(a564) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp10
    | c1_1(a551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp10
    | c3_1(a551) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp6
    | c3_1(a546) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(c_140,negated_conjecture,
    ( ~ hskp3
    | c0_1(a539) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(c_142,negated_conjecture,
    ( ~ hskp0
    | c0_1(a536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ hskp0
    | c2_1(a536) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(c_150,negated_conjecture,
    ( ~ c0_1(a587)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

cnf(c_151,negated_conjecture,
    ( ~ c2_1(a587)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

cnf(c_152,negated_conjecture,
    ( ~ c3_1(a587)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).

cnf(c_153,negated_conjecture,
    ( ~ c0_1(a584)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(c_154,negated_conjecture,
    ( ~ c2_1(a584)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ c1_1(a582)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(c_156,negated_conjecture,
    ( ~ c0_1(a580)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c3_1(a580)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c1_1(a576)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

cnf(c_159,negated_conjecture,
    ( ~ c3_1(a576)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

cnf(c_165,negated_conjecture,
    ( ~ c2_1(a570)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ c3_1(a570)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(c_168,negated_conjecture,
    ( ~ c0_1(a566)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a565)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c1_1(a564)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(c_172,negated_conjecture,
    ( ~ c0_1(a551)
    | ~ hskp10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

cnf(c_179,negated_conjecture,
    ( ~ c0_1(a546)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).

cnf(c_180,negated_conjecture,
    ( ~ c1_1(a546)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

cnf(c_184,negated_conjecture,
    ( ~ c2_1(a539)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

cnf(c_185,negated_conjecture,
    ( ~ c3_1(a539)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

cnf(c_191,negated_conjecture,
    ( ~ c3_1(a536)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(c_194,negated_conjecture,
    ( ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

cnf(c_195,negated_conjecture,
    ( ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp16
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).

cnf(c_202,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(c_204,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

cnf(c_208,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp30
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(c_211,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

cnf(c_212,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp21
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(c_215,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp21
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

cnf(c_223,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

cnf(c_227,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

cnf(c_229,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

cnf(c_234,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).

cnf(c_237,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c3_1(X1)
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).

cnf(c_238,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c2_1(X0)
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).

cnf(c_239,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | c1_1(X0)
    | hskp31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).

cnf(c_240,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X1)
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).

cnf(c_241,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).

cnf(c_243,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c2_1(X1)
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).

cnf(c_246,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c0_1(X1)
    | hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).

cnf(c_247,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).

cnf(c_249,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).

cnf(c_250,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).

cnf(c_251,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).

cnf(c_252,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).

cnf(c_254,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).

cnf(c_255,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).

cnf(c_256,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X2)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).

cnf(c_277,plain,
    ( ~ c0_1(a536)
    | ~ c2_1(a536)
    | ~ ndr1_0
    | c3_1(a536)
    | hskp21
    | hskp12 ),
    inference(instantiation,[status(thm)],[c_212]) ).

cnf(c_292,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_80,c_93,c_78,c_74,c_54]) ).

cnf(c_356,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp16
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_93,c_78,c_74,c_54,c_195]) ).

cnf(c_359,negated_conjecture,
    ( c1_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp15
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_93,c_78,c_74,c_54,c_194]) ).

cnf(c_371,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_93,c_78,c_74,c_54,c_205,c_211]) ).

cnf(c_374,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | hskp22
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_93,c_78,c_74,c_54,c_204]) ).

cnf(c_380,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_93,c_78,c_74,c_54,c_202]) ).

cnf(c_407,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_93,c_78,c_74,c_54,c_215]) ).

cnf(c_408,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp14 ),
    inference(renaming,[status(thm)],[c_407]) ).

cnf(c_416,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_93,c_78,c_74,c_54,c_212]) ).

cnf(c_417,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp21
    | hskp12 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_419,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | hskp6
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_371]) ).

cnf(c_427,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_93,c_78,c_74,c_54,c_208]) ).

cnf(c_428,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp30
    | hskp0 ),
    inference(renaming,[status(thm)],[c_427]) ).

cnf(c_450,negated_conjecture,
    ( ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_93,c_78,c_74,c_54,c_223]) ).

cnf(c_455,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_93,c_78,c_74,c_54,c_227]) ).

cnf(c_456,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_455]) ).

cnf(c_461,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_93,c_78,c_74,c_54,c_234]) ).

cnf(c_462,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_461]) ).

cnf(c_471,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_93,c_78,c_74,c_54,c_229]) ).

cnf(c_472,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | c2_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_471]) ).

cnf(c_477,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c2_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_93,c_78,c_74,c_54,c_243]) ).

cnf(c_478,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c2_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_477]) ).

cnf(c_481,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(global_subsumption_just,[status(thm)],[c_241,c_93,c_78,c_74,c_54,c_241]) ).

cnf(c_482,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp19 ),
    inference(renaming,[status(thm)],[c_481]) ).

cnf(c_484,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_93,c_78,c_74,c_54,c_240]) ).

cnf(c_485,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_484]) ).

cnf(c_486,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | hskp31 ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_93,c_78,c_74,c_54,c_239]) ).

cnf(c_487,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X0)
    | hskp31 ),
    inference(renaming,[status(thm)],[c_486]) ).

cnf(c_488,plain,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c2_1(X0)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_238,c_292]) ).

cnf(c_489,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | c0_1(X1)
    | c2_1(X0)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_488]) ).

cnf(c_490,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c3_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_93,c_78,c_74,c_54,c_237]) ).

cnf(c_491,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_490]) ).

cnf(c_496,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X1)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_93,c_78,c_74,c_54,c_247]) ).

cnf(c_497,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X1)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_496]) ).

cnf(c_498,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_93,c_78,c_74,c_54,c_246]) ).

cnf(c_499,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c0_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_498]) ).

cnf(c_503,plain,
    ( ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_250,c_93,c_78,c_74,c_54,c_250]) ).

cnf(c_504,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_503]) ).

cnf(c_505,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_249,c_93,c_78,c_74,c_54,c_249]) ).

cnf(c_506,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0) ),
    inference(renaming,[status(thm)],[c_505]) ).

cnf(c_507,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_251,c_93,c_78,c_74,c_54,c_251]) ).

cnf(c_508,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_507]) ).

cnf(c_512,plain,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_252,c_93,c_78,c_74,c_54,c_252]) ).

cnf(c_513,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_512]) ).

cnf(c_514,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_255,c_93,c_78,c_74,c_54,c_255]) ).

cnf(c_515,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | c1_1(X2)
    | c3_1(X0)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_514]) ).

cnf(c_516,plain,
    ( ~ c2_1(X2)
    | ~ c2_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_254,c_93,c_78,c_74,c_54,c_254]) ).

cnf(c_517,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X0)
    | ~ c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1) ),
    inference(renaming,[status(thm)],[c_516]) ).

cnf(c_518,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_256,c_93,c_78,c_74,c_54,c_256]) ).

cnf(c_519,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | c0_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_518]) ).

cnf(c_2946,plain,
    ( ~ c3_1(a587)
    | hskp22
    | hskp21 ),
    inference(resolution,[status(thm)],[c_95,c_152]) ).

cnf(c_2956,plain,
    ( ~ c2_1(a587)
    | hskp22
    | hskp21 ),
    inference(resolution,[status(thm)],[c_95,c_151]) ).

cnf(c_2966,plain,
    ( ~ c0_1(a587)
    | hskp22
    | hskp21 ),
    inference(resolution,[status(thm)],[c_95,c_150]) ).

cnf(c_3147,plain,
    ( ~ c3_1(a580)
    | hskp31
    | hskp22 ),
    inference(resolution,[status(thm)],[c_84,c_157]) ).

cnf(c_3157,plain,
    ( ~ c0_1(a580)
    | hskp31
    | hskp22 ),
    inference(resolution,[status(thm)],[c_84,c_156]) ).

cnf(c_4638,plain,
    ( ~ c0_1(a551)
    | hskp31
    | hskp16 ),
    inference(resolution,[status(thm)],[c_83,c_172]) ).

cnf(c_4648,plain,
    ( c3_1(a551)
    | hskp31
    | hskp16 ),
    inference(resolution,[status(thm)],[c_83,c_132]) ).

cnf(c_4658,plain,
    ( c1_1(a551)
    | hskp31
    | hskp16 ),
    inference(resolution,[status(thm)],[c_83,c_131]) ).

cnf(c_8794,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(a564)
    | c3_1(X0)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_417,c_170]) ).

cnf(c_8795,plain,
    ( ~ c0_1(a536)
    | ~ c1_1(a564)
    | ~ c2_1(a536)
    | c3_1(a536)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_8794]) ).

cnf(c_8811,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(a564)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_417,c_128]) ).

cnf(c_8812,plain,
    ( ~ c0_1(a536)
    | ~ c2_1(a536)
    | c3_1(a564)
    | c3_1(a536)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_8811]) ).

cnf(c_8828,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(a564)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_417,c_127]) ).

cnf(c_8829,plain,
    ( ~ c0_1(a536)
    | ~ c2_1(a536)
    | c0_1(a564)
    | c3_1(a536)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_8828]) ).

cnf(c_9385,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(a566)
    | c3_1(X0)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_408,c_168]) ).

cnf(c_9386,plain,
    ( ~ c0_1(a566)
    | ~ c0_1(a536)
    | ~ c2_1(a536)
    | c3_1(a536)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_9385]) ).

cnf(c_9402,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(a566)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_408,c_124]) ).

cnf(c_9403,plain,
    ( ~ c0_1(a536)
    | ~ c2_1(a536)
    | c3_1(a566)
    | c3_1(a536)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_9402]) ).

cnf(c_9419,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(a566)
    | hskp21 ),
    inference(resolution,[status(thm)],[c_408,c_123]) ).

cnf(c_9420,plain,
    ( ~ c0_1(a536)
    | ~ c2_1(a536)
    | c3_1(a536)
    | c2_1(a566)
    | hskp21 ),
    inference(instantiation,[status(thm)],[c_9419]) ).

cnf(c_18634,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_519]) ).

cnf(c_18635,negated_conjecture,
    ( c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_519]) ).

cnf(c_18636,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_519]) ).

cnf(c_18637,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

cnf(c_18638,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_517]) ).

cnf(c_18639,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_517]) ).

cnf(c_18640,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_517]) ).

cnf(c_18641,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

cnf(c_18642,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_515]) ).

cnf(c_18643,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_515]) ).

cnf(c_18644,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_515]) ).

cnf(c_18645,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

cnf(c_18647,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_513]) ).

cnf(c_18651,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_508]) ).

cnf(c_18652,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_508]) ).

cnf(c_18653,negated_conjecture,
    ( sP3_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

cnf(c_18654,negated_conjecture,
    ( c3_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_506]) ).

cnf(c_18657,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_504]) ).

cnf(c_18658,negated_conjecture,
    ( sP4_iProver_def
    | sP14_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

cnf(c_18660,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_499]) ).

cnf(c_18662,negated_conjecture,
    ( ~ c2_1(X0)
    | c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_497]) ).

cnf(c_18663,negated_conjecture,
    ( hskp23
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

cnf(c_18666,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_491]) ).

cnf(c_18667,negated_conjecture,
    ( hskp0
    | sP2_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

cnf(c_18668,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_489]) ).

cnf(c_18670,negated_conjecture,
    ( hskp31
    | sP3_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

cnf(c_18671,negated_conjecture,
    ( hskp13
    | sP14_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

cnf(c_18672,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_482]) ).

cnf(c_18673,negated_conjecture,
    ( hskp19
    | sP18_iProver_def
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

cnf(c_18675,negated_conjecture,
    ( c2_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_478]) ).

cnf(c_18676,negated_conjecture,
    ( hskp3
    | sP18_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).

cnf(c_18680,negated_conjecture,
    ( c2_1(X0)
    | c1_1(X0)
    | c0_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_472]) ).

cnf(c_18689,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_462]) ).

cnf(c_18690,negated_conjecture,
    ( sP2_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

cnf(c_18693,negated_conjecture,
    ( hskp6
    | sP10_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

cnf(c_18695,negated_conjecture,
    ( hskp0
    | sP12_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

cnf(c_18705,negated_conjecture,
    ( hskp30
    | hskp0
    | sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

cnf(c_18720,negated_conjecture,
    ( hskp20
    | hskp13
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

cnf(c_18722,negated_conjecture,
    ( hskp22
    | hskp21
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

cnf(c_18723,negated_conjecture,
    ( c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP31_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_def])],[c_419]) ).

cnf(c_18724,negated_conjecture,
    ( hskp6
    | hskp3
    | sP31_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

cnf(c_18728,negated_conjecture,
    ( c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | ~ sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP32_iProver_def])],[c_359]) ).

cnf(c_18730,negated_conjecture,
    ( hskp16
    | hskp3
    | sP32_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_18731,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_18637]) ).

cnf(c_18735,negated_conjecture,
    ( sP3_iProver_def
    | sP4_iProver_def
    | sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_18641]) ).

cnf(c_18739,negated_conjecture,
    ( sP6_iProver_def
    | sP7_iProver_def
    | sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_18645]) ).

cnf(c_18751,negated_conjecture,
    ( sP3_iProver_def
    | sP12_iProver_def
    | sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_18653]) ).

cnf(c_18753,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP13_iProver_def
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18652]) ).

cnf(c_18759,negated_conjecture,
    ( sP4_iProver_def
    | sP14_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_18658]) ).

cnf(c_18769,negated_conjecture,
    ( hskp23
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_18663]) ).

cnf(c_18778,negated_conjecture,
    ( hskp0
    | sP2_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_18667]) ).

cnf(c_18780,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP19_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18666]) ).

cnf(c_18784,negated_conjecture,
    ( hskp31
    | sP3_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_18670]) ).

cnf(c_18787,negated_conjecture,
    ( hskp13
    | sP14_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_18671]) ).

cnf(c_18790,negated_conjecture,
    ( hskp19
    | sP18_iProver_def
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_18673]) ).

cnf(c_18792,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP21_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18672]) ).

cnf(c_18796,negated_conjecture,
    ( hskp3
    | sP18_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_18676]) ).

cnf(c_18798,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP22_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18675]) ).

cnf(c_18820,negated_conjecture,
    ( sP2_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_18690]) ).

cnf(c_18824,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP6_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18642]) ).

cnf(c_18829,negated_conjecture,
    ( hskp6
    | sP10_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_18693]) ).

cnf(c_18830,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP18_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18662]) ).

cnf(c_18835,negated_conjecture,
    ( hskp0
    | sP12_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_18695]) ).

cnf(c_18837,negated_conjecture,
    ( ~ sP24_iProver_def
    | c0_1(X0)
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18680]) ).

cnf(c_18842,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_18660]) ).

cnf(c_18844,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_18634]) ).

cnf(c_18848,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_18636]) ).

cnf(c_18850,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP5_iProver_def ),
    inference(demodulation,[status(thm)],[c_18640]) ).

cnf(c_18853,negated_conjecture,
    ( hskp30
    | hskp0
    | sP20_iProver_def ),
    inference(demodulation,[status(thm)],[c_18705]) ).

cnf(c_18854,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP20_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18668]) ).

cnf(c_18856,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18638]) ).

cnf(c_18858,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP7_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18643]) ).

cnf(c_18868,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP8_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18644]) ).

cnf(c_18872,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP12_iProver_def
    | c0_1(X0)
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18651]) ).

cnf(c_18874,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP4_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18639]) ).

cnf(c_18876,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP16_iProver_def
    | c0_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18657]) ).

cnf(c_18878,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP1_iProver_def
    | c0_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18635]) ).

cnf(c_18883,negated_conjecture,
    ( hskp20
    | hskp13
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_18720]) ).

cnf(c_18884,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP14_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18654]) ).

cnf(c_18887,negated_conjecture,
    ( hskp22
    | hskp21
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_18722]) ).

cnf(c_18888,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP28_iProver_def
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18689]) ).

cnf(c_18889,negated_conjecture,
    ( hskp6
    | hskp3
    | sP31_iProver_def ),
    inference(demodulation,[status(thm)],[c_18724]) ).

cnf(c_18890,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP31_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18723]) ).

cnf(c_18896,negated_conjecture,
    ( ~ sP10_iProver_def
    | c0_1(X0)
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18647]) ).

cnf(c_18899,negated_conjecture,
    ( hskp16
    | hskp3
    | sP32_iProver_def ),
    inference(demodulation,[status(thm)],[c_18730]) ).

cnf(c_18900,negated_conjecture,
    ( ~ sP32_iProver_def
    | c1_1(X0)
    | c3_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18728]) ).

cnf(c_19030,plain,
    ( ~ c0_1(a536)
    | ~ c2_1(a536)
    | ~ sP8_iProver_def
    | c3_1(a536) ),
    inference(instantiation,[status(thm)],[c_18868]) ).

cnf(c_19052,plain,
    ( ~ c0_1(a582)
    | ~ c3_1(a582)
    | ~ sP6_iProver_def
    | c1_1(a582) ),
    inference(instantiation,[status(thm)],[c_18824]) ).

cnf(c_19054,plain,
    ( ~ c0_1(a564)
    | ~ c3_1(a564)
    | ~ sP6_iProver_def
    | c1_1(a564) ),
    inference(instantiation,[status(thm)],[c_18824]) ).

cnf(c_19060,plain,
    ( ~ c0_1(a582)
    | ~ c3_1(a582)
    | ~ c2_1(a582)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_18848]) ).

cnf(c_19068,plain,
    ( ~ c3_1(a582)
    | ~ c2_1(a582)
    | ~ sP3_iProver_def
    | c0_1(a582) ),
    inference(instantiation,[status(thm)],[c_18856]) ).

cnf(c_19072,plain,
    ( ~ c3_1(a551)
    | ~ c2_1(a551)
    | ~ sP3_iProver_def
    | c0_1(a551) ),
    inference(instantiation,[status(thm)],[c_18856]) ).

cnf(c_19073,plain,
    ( ~ c3_1(a546)
    | ~ c2_1(a546)
    | ~ sP3_iProver_def
    | c0_1(a546) ),
    inference(instantiation,[status(thm)],[c_18856]) ).

cnf(c_19075,plain,
    ( ~ c3_1(a584)
    | ~ sP12_iProver_def
    | c0_1(a584)
    | c1_1(a584) ),
    inference(instantiation,[status(thm)],[c_18872]) ).

cnf(c_19076,plain,
    ( ~ c3_1(a582)
    | ~ sP12_iProver_def
    | c0_1(a582)
    | c1_1(a582) ),
    inference(instantiation,[status(thm)],[c_18872]) ).

cnf(c_19081,plain,
    ( ~ c3_1(a546)
    | ~ sP12_iProver_def
    | c0_1(a546)
    | c1_1(a546) ),
    inference(instantiation,[status(thm)],[c_18872]) ).

cnf(c_19090,plain,
    ( ~ c3_1(a566)
    | ~ c2_1(a566)
    | ~ sP3_iProver_def
    | c0_1(a566) ),
    inference(instantiation,[status(thm)],[c_18856]) ).

cnf(c_19094,plain,
    ( ~ sP24_iProver_def
    | c0_1(a587)
    | c1_1(a587)
    | c2_1(a587) ),
    inference(instantiation,[status(thm)],[c_18837]) ).

cnf(c_19095,plain,
    ( ~ sP24_iProver_def
    | c0_1(a584)
    | c1_1(a584)
    | c2_1(a584) ),
    inference(instantiation,[status(thm)],[c_18837]) ).

cnf(c_19104,plain,
    ( ~ c0_1(a565)
    | ~ c3_1(a565)
    | ~ sP7_iProver_def
    | c2_1(a565) ),
    inference(instantiation,[status(thm)],[c_18858]) ).

cnf(c_19105,plain,
    ( ~ c0_1(a564)
    | ~ c3_1(a564)
    | ~ sP7_iProver_def
    | c2_1(a564) ),
    inference(instantiation,[status(thm)],[c_18858]) ).

cnf(c_19108,plain,
    ( ~ c0_1(a546)
    | ~ c3_1(a546)
    | ~ sP7_iProver_def
    | c2_1(a546) ),
    inference(instantiation,[status(thm)],[c_18858]) ).

cnf(c_19118,plain,
    ( ~ c1_1(a570)
    | ~ sP4_iProver_def
    | c0_1(a570)
    | c2_1(a570) ),
    inference(instantiation,[status(thm)],[c_18874]) ).

cnf(c_19127,plain,
    ( ~ sP24_iProver_def
    | c0_1(a546)
    | c1_1(a546)
    | c2_1(a546) ),
    inference(instantiation,[status(thm)],[c_18837]) ).

cnf(c_19129,plain,
    ( ~ c0_1(a563)
    | ~ c3_1(a563)
    | ~ sP7_iProver_def
    | c2_1(a563) ),
    inference(instantiation,[status(thm)],[c_18858]) ).

cnf(c_19134,plain,
    ( ~ c0_1(a563)
    | ~ c1_1(a563)
    | ~ c3_1(a563)
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_18844]) ).

cnf(c_19135,plain,
    ( ~ c0_1(a563)
    | ~ c1_1(a563)
    | ~ c2_1(a563)
    | ~ sP17_iProver_def ),
    inference(instantiation,[status(thm)],[c_18842]) ).

cnf(c_19146,plain,
    ( ~ c2_1(a546)
    | ~ sP13_iProver_def
    | c0_1(a546)
    | c1_1(a546) ),
    inference(instantiation,[status(thm)],[c_18753]) ).

cnf(c_19148,plain,
    ( ~ c2_1(a582)
    | ~ sP13_iProver_def
    | c0_1(a582)
    | c1_1(a582) ),
    inference(instantiation,[status(thm)],[c_18753]) ).

cnf(c_19157,plain,
    ( ~ c1_1(a584)
    | ~ sP4_iProver_def
    | c0_1(a584)
    | c2_1(a584) ),
    inference(instantiation,[status(thm)],[c_18874]) ).

cnf(c_19185,plain,
    ( ~ c1_1(a580)
    | ~ sP1_iProver_def
    | c0_1(a580)
    | c3_1(a580) ),
    inference(instantiation,[status(thm)],[c_18878]) ).

cnf(c_19193,plain,
    ( ~ c2_1(a580)
    | ~ sP19_iProver_def
    | c0_1(a580)
    | c3_1(a580) ),
    inference(instantiation,[status(thm)],[c_18780]) ).

cnf(c_19207,plain,
    ( ~ c0_1(a539)
    | ~ sP28_iProver_def
    | c3_1(a539)
    | c2_1(a539) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

cnf(c_19218,plain,
    ( ~ c0_1(a582)
    | ~ c2_1(a582)
    | ~ sP18_iProver_def
    | c1_1(a582) ),
    inference(instantiation,[status(thm)],[c_18830]) ).

cnf(c_19221,plain,
    ( ~ c0_1(a564)
    | ~ c2_1(a564)
    | ~ sP18_iProver_def
    | c1_1(a564) ),
    inference(instantiation,[status(thm)],[c_18830]) ).

cnf(c_19229,plain,
    ( ~ sP32_iProver_def
    | c1_1(a587)
    | c3_1(a587)
    | c2_1(a587) ),
    inference(instantiation,[status(thm)],[c_18900]) ).

cnf(c_19268,plain,
    ( ~ c3_1(a562)
    | ~ c2_1(a562)
    | ~ sP3_iProver_def
    | c0_1(a562) ),
    inference(instantiation,[status(thm)],[c_18856]) ).

cnf(c_19269,plain,
    ( ~ c0_1(a562)
    | ~ c3_1(a562)
    | ~ c2_1(a562)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_18848]) ).

cnf(c_19273,plain,
    ( ~ c0_1(a576)
    | ~ sP14_iProver_def
    | c1_1(a576)
    | c3_1(a576) ),
    inference(instantiation,[status(thm)],[c_18884]) ).

cnf(c_19301,plain,
    ( ~ c3_1(a564)
    | ~ c2_1(a564)
    | ~ sP21_iProver_def
    | c1_1(a564) ),
    inference(instantiation,[status(thm)],[c_18792]) ).

cnf(c_19307,plain,
    ( ~ sP10_iProver_def
    | c0_1(a587)
    | c3_1(a587)
    | c2_1(a587) ),
    inference(instantiation,[status(thm)],[c_18896]) ).

cnf(c_19340,plain,
    ( ~ sP10_iProver_def
    | c0_1(a546)
    | c3_1(a546)
    | c2_1(a546) ),
    inference(instantiation,[status(thm)],[c_18896]) ).

cnf(c_19344,plain,
    ( ~ c0_1(a546)
    | ~ sP28_iProver_def
    | c3_1(a546)
    | c2_1(a546) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

cnf(c_19406,plain,
    ( ~ sP10_iProver_def
    | c0_1(a570)
    | c3_1(a570)
    | c2_1(a570) ),
    inference(instantiation,[status(thm)],[c_18896]) ).

cnf(c_19410,plain,
    ( ~ c0_1(a570)
    | ~ sP28_iProver_def
    | c3_1(a570)
    | c2_1(a570) ),
    inference(instantiation,[status(thm)],[c_18888]) ).

cnf(c_19427,plain,
    ( ~ c1_1(a584)
    | ~ c3_1(a584)
    | ~ sP22_iProver_def
    | c2_1(a584) ),
    inference(instantiation,[status(thm)],[c_18798]) ).

cnf(c_19431,plain,
    ( ~ c1_1(a551)
    | ~ c3_1(a551)
    | ~ sP22_iProver_def
    | c2_1(a551) ),
    inference(instantiation,[status(thm)],[c_18798]) ).

cnf(c_19432,plain,
    ( ~ c1_1(a546)
    | ~ c3_1(a546)
    | ~ sP22_iProver_def
    | c2_1(a546) ),
    inference(instantiation,[status(thm)],[c_18798]) ).

cnf(c_19518,plain,
    ( ~ c3_1(a582)
    | ~ c2_1(a582)
    | ~ sP21_iProver_def
    | c1_1(a582) ),
    inference(instantiation,[status(thm)],[c_18792]) ).

cnf(c_19629,plain,
    ( ~ c1_1(a562)
    | ~ c3_1(a562)
    | ~ c2_1(a562)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_18850]) ).

cnf(c_19646,plain,
    ( ~ c3_1(a546)
    | ~ sP16_iProver_def
    | c0_1(a546)
    | c2_1(a546) ),
    inference(instantiation,[status(thm)],[c_18876]) ).

cnf(c_19671,plain,
    ( ~ sP10_iProver_def
    | c0_1(a580)
    | c3_1(a580)
    | c2_1(a580) ),
    inference(instantiation,[status(thm)],[c_18896]) ).

cnf(c_19699,plain,
    ( ~ c1_1(a563)
    | ~ sP31_iProver_def
    | c2_1(a563) ),
    inference(instantiation,[status(thm)],[c_18890]) ).

cnf(c_19703,plain,
    ( ~ c1_1(a570)
    | ~ sP31_iProver_def
    | c2_1(a570) ),
    inference(instantiation,[status(thm)],[c_18890]) ).

cnf(c_19711,plain,
    ( ~ c1_1(a584)
    | ~ sP31_iProver_def
    | c2_1(a584) ),
    inference(instantiation,[status(thm)],[c_18890]) ).

cnf(c_19713,plain,
    ( ~ c1_1(a587)
    | ~ sP31_iProver_def
    | c2_1(a587) ),
    inference(instantiation,[status(thm)],[c_18890]) ).

cnf(c_19718,plain,
    ( ~ c1_1(a584)
    | ~ c3_1(a584)
    | ~ sP20_iProver_def
    | c0_1(a584) ),
    inference(instantiation,[status(thm)],[c_18854]) ).

cnf(c_19883,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19718,c_19713,c_19711,c_19703,c_19699,c_19671,c_19646,c_19629,c_19518,c_19432,c_19431,c_19427,c_19406,c_19410,c_19340,c_19344,c_19307,c_19301,c_19273,c_19268,c_19269,c_19229,c_19221,c_19218,c_19207,c_19193,c_19185,c_19157,c_19148,c_19146,c_19134,c_19135,c_19129,c_19127,c_19118,c_19108,c_19105,c_19104,c_19095,c_19094,c_19090,c_19081,c_19076,c_19075,c_19073,c_19072,c_19068,c_19060,c_19054,c_19052,c_19030,c_18899,c_18889,c_18887,c_18883,c_18853,c_18835,c_18829,c_18796,c_18790,c_18787,c_18784,c_18778,c_18769,c_18759,c_18751,c_18739,c_18735,c_18731,c_18820,c_9420,c_9403,c_9386,c_8829,c_8812,c_8795,c_4658,c_4648,c_4638,c_3157,c_3147,c_2966,c_2956,c_2946,c_292,c_277,c_150,c_151,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_165,c_166,c_169,c_170,c_179,c_180,c_184,c_185,c_191,c_96,c_97,c_98,c_99,c_100,c_101,c_114,c_115,c_116,c_117,c_118,c_120,c_125,c_126,c_127,c_128,c_136,c_140,c_142,c_143]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN510-1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 21:03:21 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.97/1.16  % SZS status Started for theBenchmark.p
% 3.97/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.16  
% 3.97/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.97/1.16  
% 3.97/1.16  ------  iProver source info
% 3.97/1.16  
% 3.97/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.97/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.97/1.16  git: non_committed_changes: false
% 3.97/1.16  
% 3.97/1.16  ------ Parsing...successful
% 3.97/1.16  
% 3.97/1.16  ------  preprocesses with Option_epr_non_horn_non_eq
% 3.97/1.16  
% 3.97/1.16  
% 3.97/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.97/1.16  
% 3.97/1.16  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.97/1.16   gs_s  sp: 106 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.97/1.16  ------ Proving...
% 3.97/1.16  ------ Problem Properties 
% 3.97/1.16  
% 3.97/1.16  
% 3.97/1.16  clauses                                 208
% 3.97/1.16  conjectures                             208
% 3.97/1.16  EPR                                     208
% 3.97/1.16  Horn                                    113
% 3.97/1.16  unary                                   0
% 3.97/1.16  binary                                  97
% 3.97/1.16  lits                                    559
% 3.97/1.16  lits eq                                 0
% 3.97/1.16  fd_pure                                 0
% 3.97/1.16  fd_pseudo                               0
% 3.97/1.16  fd_cond                                 0
% 3.97/1.16  fd_pseudo_cond                          0
% 3.97/1.16  AC symbols                              0
% 3.97/1.16  
% 3.97/1.16  ------ Schedule EPR non Horn non eq is on
% 3.97/1.16  
% 3.97/1.16  ------ no equalities: superposition off 
% 3.97/1.16  
% 3.97/1.16  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.97/1.16  
% 3.97/1.16  
% 3.97/1.16  ------ 
% 3.97/1.16  Current options:
% 3.97/1.16  ------ 
% 3.97/1.16  
% 3.97/1.16  
% 3.97/1.16  
% 3.97/1.16  
% 3.97/1.16  ------ Proving...
% 3.97/1.16  
% 3.97/1.16  
% 3.97/1.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.97/1.16  
% 3.97/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.97/1.17  
% 3.97/1.17  
%------------------------------------------------------------------------------