TSTP Solution File: SYN452-1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:07:22 EDT 2023

% Result   : Unsatisfiable 3.32s 1.21s
% Output   : CNFRefutation 3.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   90
% Syntax   : Number of clauses     :  254 (   2 unt; 152 nHn; 231 RR)
%            Number of literals    : 1156 (   0 equ; 576 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   51 (  50 usr;  47 prp; 0-1 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :  199 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( hskp14
    | hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(c_66,negated_conjecture,
    ( ~ hskp13
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

cnf(c_72,negated_conjecture,
    ( ~ hskp7
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

cnf(c_74,negated_conjecture,
    ( ~ hskp5
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

cnf(c_79,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

cnf(c_82,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(c_85,negated_conjecture,
    ( hskp13
    | hskp7
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

cnf(c_87,negated_conjecture,
    ( ~ hskp29
    | c1_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(c_88,negated_conjecture,
    ( ~ hskp29
    | c2_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(c_89,negated_conjecture,
    ( ~ hskp29
    | c3_1(a865) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(c_93,negated_conjecture,
    ( ~ hskp27
    | c0_1(a826) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp27
    | c2_1(a826) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(c_95,negated_conjecture,
    ( ~ hskp27
    | c3_1(a826) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp24
    | c1_1(a878) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

cnf(c_102,negated_conjecture,
    ( ~ hskp23
    | c0_1(a862) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

cnf(c_103,negated_conjecture,
    ( ~ hskp23
    | c3_1(a862) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(c_104,negated_conjecture,
    ( ~ hskp21
    | c0_1(a857) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(c_105,negated_conjecture,
    ( ~ hskp20
    | c3_1(a856) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(c_106,negated_conjecture,
    ( ~ hskp18
    | c1_1(a854) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).

cnf(c_111,negated_conjecture,
    ( ~ hskp14
    | c0_1(a842) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(c_112,negated_conjecture,
    ( ~ hskp14
    | c1_1(a842) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp13
    | c1_1(a839) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp13
    | c3_1(a839) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp9
    | c3_1(a831) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp7
    | c0_1(a828) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp5
    | c1_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp5
    | c3_1(a825) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp4
    | c2_1(a821) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp2
    | c2_1(a817) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp1
    | c0_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp1
    | c3_1(a816) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

cnf(c_132,negated_conjecture,
    ( ~ hskp0
    | c0_1(a815) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp0
    | c1_1(a815) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

cnf(c_135,negated_conjecture,
    ( ~ c0_1(a878)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ c3_1(a878)
    | ~ hskp24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

cnf(c_137,negated_conjecture,
    ( ~ c1_1(a862)
    | ~ hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

cnf(c_138,negated_conjecture,
    ( ~ c0_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

cnf(c_139,negated_conjecture,
    ( ~ c1_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

cnf(c_140,negated_conjecture,
    ( ~ c2_1(a860)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

cnf(c_141,negated_conjecture,
    ( ~ c2_1(a857)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).

cnf(c_142,negated_conjecture,
    ( ~ c3_1(a857)
    | ~ hskp21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

cnf(c_143,negated_conjecture,
    ( ~ c1_1(a856)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

cnf(c_144,negated_conjecture,
    ( ~ c2_1(a856)
    | ~ hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

cnf(c_148,negated_conjecture,
    ( ~ c0_1(a854)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(c_149,negated_conjecture,
    ( ~ c2_1(a854)
    | ~ hskp18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

cnf(c_155,negated_conjecture,
    ( ~ c2_1(a842)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

cnf(c_156,negated_conjecture,
    ( ~ c2_1(a839)
    | ~ hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

cnf(c_160,negated_conjecture,
    ( ~ c0_1(a831)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c1_1(a831)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c0_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

cnf(c_163,negated_conjecture,
    ( ~ c2_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(c_164,negated_conjecture,
    ( ~ c3_1(a830)
    | ~ hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

cnf(c_165,negated_conjecture,
    ( ~ c1_1(a828)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ c2_1(a828)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

cnf(c_168,negated_conjecture,
    ( ~ c0_1(a825)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c0_1(a821)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c1_1(a821)
    | ~ hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

cnf(c_173,negated_conjecture,
    ( ~ c0_1(a817)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c3_1(a817)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c2_1(a816)
    | ~ hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c3_1(a815)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

cnf(c_187,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp22
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

cnf(c_190,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp21
    | hskp13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

cnf(c_191,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp14
    | hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).

cnf(c_193,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp14
    | hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

cnf(c_197,negated_conjecture,
    ( ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c0_1(X1)
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(c_198,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

cnf(c_199,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(c_200,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

cnf(c_201,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(c_202,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c0_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).

cnf(c_203,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(c_207,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).

cnf(c_208,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(c_210,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).

cnf(c_212,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

cnf(c_213,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | hskp23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X1)
    | hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).

cnf(c_217,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

cnf(c_218,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

cnf(c_219,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

cnf(c_220,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

cnf(c_221,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

cnf(c_222,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

cnf(c_223,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X2)
    | c3_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

cnf(c_224,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).

cnf(c_225,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).

cnf(c_226,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

cnf(c_227,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c0_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).

cnf(c_242,plain,
    ( ~ c1_1(a815)
    | ~ c2_1(a815)
    | ~ ndr1_0
    | c3_1(a815)
    | hskp14
    | hskp7 ),
    inference(instantiation,[status(thm)],[c_193]) ).

cnf(c_256,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_79,c_85,c_74,c_72,c_66]) ).

cnf(c_328,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp22
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_85,c_74,c_72,c_66,c_187]) ).

cnf(c_355,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp14
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_85,c_74,c_72,c_66,c_193]) ).

cnf(c_356,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp14
    | hskp7 ),
    inference(renaming,[status(thm)],[c_355]) ).

cnf(c_361,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp22 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_85,c_74,c_72,c_66,c_191]) ).

cnf(c_362,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp22 ),
    inference(renaming,[status(thm)],[c_361]) ).

cnf(c_364,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_85,c_74,c_72,c_66,c_190]) ).

cnf(c_365,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp21
    | hskp13 ),
    inference(renaming,[status(thm)],[c_364]) ).

cnf(c_376,negated_conjecture,
    ( ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_85,c_74,c_72,c_66,c_198]) ).

cnf(c_378,negated_conjecture,
    ( c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c0_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_85,c_74,c_72,c_66,c_197]) ).

cnf(c_381,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_85,c_74,c_72,c_66,c_201]) ).

cnf(c_383,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_200,c_256]) ).

cnf(c_385,negated_conjecture,
    ( ~ c0_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_85,c_74,c_72,c_66,c_199]) ).

cnf(c_394,plain,
    ( ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_85,c_74,c_72,c_66,c_203]) ).

cnf(c_395,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_394]) ).

cnf(c_397,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c0_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_85,c_74,c_72,c_66,c_202]) ).

cnf(c_398,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c0_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_397]) ).

cnf(c_399,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | hskp23 ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_85,c_74,c_72,c_66,c_213]) ).

cnf(c_400,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | hskp23 ),
    inference(renaming,[status(thm)],[c_399]) ).

cnf(c_401,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_85,c_74,c_72,c_66,c_212]) ).

cnf(c_402,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_406,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_85,c_74,c_72,c_66,c_210]) ).

cnf(c_407,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_406]) ).

cnf(c_410,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_85,c_74,c_72,c_66,c_208]) ).

cnf(c_411,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_412,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_85,c_74,c_72,c_66,c_207]) ).

cnf(c_413,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_412]) ).

cnf(c_414,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_85,c_74,c_72,c_66,c_218]) ).

cnf(c_415,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_416,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_85,c_74,c_72,c_66,c_217]) ).

cnf(c_417,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp20 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_423,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X0)
    | c0_1(X1)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_85,c_74,c_72,c_66,c_214]) ).

cnf(c_424,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c0_1(X1)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_423]) ).

cnf(c_425,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c2_1(X1)
    | hskp29 ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_85,c_74,c_72,c_66,c_219]) ).

cnf(c_426,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | hskp29 ),
    inference(renaming,[status(thm)],[c_425]) ).

cnf(c_428,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_85,c_74,c_72,c_66,c_220]) ).

cnf(c_429,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_431,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_85,c_74,c_72,c_66,c_221]) ).

cnf(c_432,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_431]) ).

cnf(c_433,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_85,c_74,c_72,c_66,c_222]) ).

cnf(c_434,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2) ),
    inference(renaming,[status(thm)],[c_433]) ).

cnf(c_435,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_85,c_74,c_72,c_66,c_228]) ).

cnf(c_436,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_437,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_85,c_74,c_72,c_66,c_227]) ).

cnf(c_438,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c3_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_437]) ).

cnf(c_439,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_85,c_74,c_72,c_66,c_226]) ).

cnf(c_440,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_439]) ).

cnf(c_441,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_85,c_74,c_72,c_66,c_225]) ).

cnf(c_442,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_443,plain,
    ( ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_85,c_74,c_72,c_66,c_224]) ).

cnf(c_444,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_443]) ).

cnf(c_445,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c1_1(X2)
    | c3_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_85,c_74,c_72,c_66,c_223]) ).

cnf(c_446,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | c1_1(X2)
    | c3_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_1600,plain,
    ( ~ c3_1(a878)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_49,c_136]) ).

cnf(c_1607,plain,
    ( ~ c0_1(a878)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_49,c_135]) ).

cnf(c_1614,plain,
    ( c1_1(a878)
    | hskp14 ),
    inference(resolution,[status(thm)],[c_49,c_101]) ).

cnf(c_1924,plain,
    ( ~ c2_1(a854)
    | hskp27
    | hskp9 ),
    inference(resolution,[status(thm)],[c_82,c_149]) ).

cnf(c_1934,plain,
    ( ~ c0_1(a854)
    | hskp27
    | hskp9 ),
    inference(resolution,[status(thm)],[c_82,c_148]) ).

cnf(c_1944,plain,
    ( c1_1(a854)
    | hskp27
    | hskp9 ),
    inference(resolution,[status(thm)],[c_82,c_106]) ).

cnf(c_13658,negated_conjecture,
    ( c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_446]) ).

cnf(c_13660,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_446]) ).

cnf(c_13662,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_444]) ).

cnf(c_13663,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_444]) ).

cnf(c_13664,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_444]) ).

cnf(c_13665,negated_conjecture,
    ( sP3_iProver_split
    | sP4_iProver_split
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

cnf(c_13666,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_442]) ).

cnf(c_13667,negated_conjecture,
    ( c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_442]) ).

cnf(c_13668,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_13669,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_440]) ).

cnf(c_13670,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_440]) ).

cnf(c_13671,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_440]) ).

cnf(c_13672,negated_conjecture,
    ( sP8_iProver_split
    | sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_13675,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_438]) ).

cnf(c_13677,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_436]) ).

cnf(c_13678,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_436]) ).

cnf(c_13680,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_434]) ).

cnf(c_13681,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_434]) ).

cnf(c_13683,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_432]) ).

cnf(c_13684,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_432]) ).

cnf(c_13685,negated_conjecture,
    ( sP16_iProver_split
    | sP18_iProver_split
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_432]) ).

cnf(c_13686,negated_conjecture,
    ( hskp8
    | sP15_iProver_split
    | sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_13687,negated_conjecture,
    ( hskp29
    | sP3_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

cnf(c_13688,negated_conjecture,
    ( hskp9
    | sP0_iProver_split
    | sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

cnf(c_13691,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_417]) ).

cnf(c_13692,negated_conjecture,
    ( hskp20
    | sP6_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

cnf(c_13693,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_415]) ).

cnf(c_13695,negated_conjecture,
    ( c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_413]) ).

cnf(c_13697,negated_conjecture,
    ( hskp9
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_13700,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP24_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_407]) ).

cnf(c_13703,negated_conjecture,
    ( hskp9
    | sP3_iProver_split
    | sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_13704,negated_conjecture,
    ( hskp23
    | sP3_iProver_split
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_400]) ).

cnf(c_13705,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_398]) ).

cnf(c_13706,negated_conjecture,
    ( hskp2
    | sP24_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

cnf(c_13707,negated_conjecture,
    ( hskp2
    | sP8_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

cnf(c_13712,negated_conjecture,
    ( hskp1
    | sP14_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_385]) ).

cnf(c_13713,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_383]) ).

cnf(c_13714,negated_conjecture,
    ( hskp4
    | sP7_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_13715,negated_conjecture,
    ( hskp5
    | sP21_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).

cnf(c_13716,negated_conjecture,
    ( hskp0
    | sP16_iProver_split
    | sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).

cnf(c_13717,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_376]) ).

cnf(c_13718,negated_conjecture,
    ( sP22_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_376]) ).

cnf(c_13723,negated_conjecture,
    ( hskp21
    | hskp13
    | sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

cnf(c_13724,negated_conjecture,
    ( hskp14
    | hskp22
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

cnf(c_13726,negated_conjecture,
    ( hskp14
    | hskp7
    | sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_13736,negated_conjecture,
    ( hskp22
    | hskp1
    | sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).

cnf(c_13751,plain,
    ( ~ c0_1(a815)
    | ~ sP21_iProver_split
    | c2_1(a815)
    | c3_1(a815) ),
    inference(instantiation,[status(thm)],[c_13693]) ).

cnf(c_13757,plain,
    ( ~ c1_1(a815)
    | ~ c0_1(a815)
    | ~ sP2_iProver_split
    | c3_1(a815) ),
    inference(instantiation,[status(thm)],[c_13660]) ).

cnf(c_13765,plain,
    ( ~ c1_1(a815)
    | ~ c2_1(a815)
    | ~ sP19_iProver_split
    | c3_1(a815) ),
    inference(instantiation,[status(thm)],[c_13684]) ).

cnf(c_13767,plain,
    ( ~ c2_1(a815)
    | ~ c0_1(a815)
    | ~ sP24_iProver_split
    | c3_1(a815) ),
    inference(instantiation,[status(thm)],[c_13700]) ).

cnf(c_13790,plain,
    ( ~ c3_1(a856)
    | ~ sP8_iProver_split
    | c1_1(a856)
    | c2_1(a856) ),
    inference(instantiation,[status(thm)],[c_13669]) ).

cnf(c_13793,plain,
    ( ~ c3_1(a831)
    | ~ sP8_iProver_split
    | c1_1(a831)
    | c2_1(a831) ),
    inference(instantiation,[status(thm)],[c_13669]) ).

cnf(c_13804,plain,
    ( ~ sP16_iProver_split
    | c1_1(a860)
    | c2_1(a860)
    | c3_1(a860) ),
    inference(instantiation,[status(thm)],[c_13680]) ).

cnf(c_13809,plain,
    ( ~ sP16_iProver_split
    | c1_1(a828)
    | c2_1(a828)
    | c3_1(a828) ),
    inference(instantiation,[status(thm)],[c_13680]) ).

cnf(c_13815,plain,
    ( ~ c0_1(a842)
    | ~ sP21_iProver_split
    | c2_1(a842)
    | c3_1(a842) ),
    inference(instantiation,[status(thm)],[c_13693]) ).

cnf(c_13817,plain,
    ( ~ c0_1(a828)
    | ~ sP21_iProver_split
    | c2_1(a828)
    | c3_1(a828) ),
    inference(instantiation,[status(thm)],[c_13693]) ).

cnf(c_13822,plain,
    ( ~ c3_1(a856)
    | ~ sP22_iProver_split
    | c1_1(a856)
    | c0_1(a856) ),
    inference(instantiation,[status(thm)],[c_13695]) ).

cnf(c_13825,plain,
    ( ~ c3_1(a831)
    | ~ sP22_iProver_split
    | c1_1(a831)
    | c0_1(a831) ),
    inference(instantiation,[status(thm)],[c_13695]) ).

cnf(c_13863,plain,
    ( ~ c1_1(a817)
    | ~ c2_1(a817)
    | ~ sP9_iProver_split
    | c0_1(a817) ),
    inference(instantiation,[status(thm)],[c_13670]) ).

cnf(c_13869,plain,
    ( ~ c0_1(a828)
    | ~ sP14_iProver_split
    | c1_1(a828)
    | c2_1(a828) ),
    inference(instantiation,[status(thm)],[c_13677]) ).

cnf(c_13876,plain,
    ( ~ c1_1(a839)
    | ~ c3_1(a839)
    | ~ sP5_iProver_split
    | c2_1(a839) ),
    inference(instantiation,[status(thm)],[c_13664]) ).

cnf(c_13903,plain,
    ( ~ c3_1(a860)
    | ~ sP22_iProver_split
    | c1_1(a860)
    | c0_1(a860) ),
    inference(instantiation,[status(thm)],[c_13695]) ).

cnf(c_13904,plain,
    ( ~ c3_1(a860)
    | ~ sP8_iProver_split
    | c1_1(a860)
    | c2_1(a860) ),
    inference(instantiation,[status(thm)],[c_13669]) ).

cnf(c_13952,plain,
    ( ~ sP28_iProver_split
    | c1_1(a860)
    | c3_1(a860)
    | c0_1(a860) ),
    inference(instantiation,[status(thm)],[c_13717]) ).

cnf(c_13959,plain,
    ( ~ sP28_iProver_split
    | c1_1(a821)
    | c3_1(a821)
    | c0_1(a821) ),
    inference(instantiation,[status(thm)],[c_13717]) ).

cnf(c_13977,plain,
    ( ~ c1_1(a857)
    | ~ c0_1(a857)
    | ~ sP10_iProver_split
    | c2_1(a857) ),
    inference(instantiation,[status(thm)],[c_13671]) ).

cnf(c_13992,plain,
    ( ~ c1_1(a826)
    | ~ c3_1(a826)
    | ~ c0_1(a826)
    | ~ sP15_iProver_split ),
    inference(instantiation,[status(thm)],[c_13678]) ).

cnf(c_14007,plain,
    ( ~ c3_1(a828)
    | ~ c0_1(a828)
    | ~ sP3_iProver_split
    | c2_1(a828) ),
    inference(instantiation,[status(thm)],[c_13662]) ).

cnf(c_14009,plain,
    ( ~ c3_1(a816)
    | ~ c0_1(a816)
    | ~ sP3_iProver_split
    | c2_1(a816) ),
    inference(instantiation,[status(thm)],[c_13662]) ).

cnf(c_14020,plain,
    ( ~ c3_1(a826)
    | ~ c0_1(a826)
    | ~ sP6_iProver_split
    | c1_1(a826) ),
    inference(instantiation,[status(thm)],[c_13666]) ).

cnf(c_14022,plain,
    ( ~ c3_1(a862)
    | ~ c0_1(a862)
    | ~ sP6_iProver_split
    | c1_1(a862) ),
    inference(instantiation,[status(thm)],[c_13666]) ).

cnf(c_14025,plain,
    ( ~ c3_1(a828)
    | ~ c0_1(a828)
    | ~ sP6_iProver_split
    | c1_1(a828) ),
    inference(instantiation,[status(thm)],[c_13666]) ).

cnf(c_14066,plain,
    ( ~ c2_1(a826)
    | ~ c3_1(a826)
    | ~ sP20_iProver_split
    | c1_1(a826) ),
    inference(instantiation,[status(thm)],[c_13691]) ).

cnf(c_14071,plain,
    ( ~ c2_1(a831)
    | ~ c3_1(a831)
    | ~ sP20_iProver_split
    | c1_1(a831) ),
    inference(instantiation,[status(thm)],[c_13691]) ).

cnf(c_14083,plain,
    ( ~ c1_1(a817)
    | ~ c2_1(a817)
    | ~ sP19_iProver_split
    | c3_1(a817) ),
    inference(instantiation,[status(thm)],[c_13684]) ).

cnf(c_14141,plain,
    ( ~ c2_1(a821)
    | ~ c3_1(a821)
    | ~ sP20_iProver_split
    | c1_1(a821) ),
    inference(instantiation,[status(thm)],[c_13691]) ).

cnf(c_14181,plain,
    ( ~ sP16_iProver_split
    | c1_1(a857)
    | c2_1(a857)
    | c3_1(a857) ),
    inference(instantiation,[status(thm)],[c_13680]) ).

cnf(c_14203,plain,
    ( ~ c1_1(a825)
    | ~ c3_1(a825)
    | ~ sP0_iProver_split
    | c0_1(a825) ),
    inference(instantiation,[status(thm)],[c_13658]) ).

cnf(c_14255,plain,
    ( ~ c1_1(a839)
    | ~ c0_1(a839)
    | ~ sP10_iProver_split
    | c2_1(a839) ),
    inference(instantiation,[status(thm)],[c_13671]) ).

cnf(c_14294,plain,
    ( ~ c3_1(a856)
    | ~ c0_1(a856)
    | ~ sP3_iProver_split
    | c2_1(a856) ),
    inference(instantiation,[status(thm)],[c_13662]) ).

cnf(c_14297,plain,
    ( ~ c0_1(a856)
    | ~ sP14_iProver_split
    | c1_1(a856)
    | c2_1(a856) ),
    inference(instantiation,[status(thm)],[c_13677]) ).

cnf(c_14301,plain,
    ( ~ sP25_iProver_split
    | c1_1(a860)
    | c2_1(a860)
    | c0_1(a860) ),
    inference(instantiation,[status(thm)],[c_13705]) ).

cnf(c_14389,plain,
    ( ~ sP28_iProver_split
    | c1_1(a817)
    | c3_1(a817)
    | c0_1(a817) ),
    inference(instantiation,[status(thm)],[c_13717]) ).

cnf(c_14425,plain,
    ( ~ c1_1(a842)
    | ~ sP13_iProver_split
    | c2_1(a842)
    | c3_1(a842) ),
    inference(instantiation,[status(thm)],[c_13675]) ).

cnf(c_14427,plain,
    ( ~ c1_1(a830)
    | ~ sP13_iProver_split
    | c2_1(a830)
    | c3_1(a830) ),
    inference(instantiation,[status(thm)],[c_13675]) ).

cnf(c_14432,plain,
    ( ~ c3_1(a842)
    | ~ c0_1(a842)
    | ~ sP3_iProver_split
    | c2_1(a842) ),
    inference(instantiation,[status(thm)],[c_13662]) ).

cnf(c_14433,plain,
    ( ~ c1_1(a842)
    | ~ c3_1(a842)
    | ~ c0_1(a842)
    | ~ sP15_iProver_split ),
    inference(instantiation,[status(thm)],[c_13678]) ).

cnf(c_14434,plain,
    ( ~ c1_1(a842)
    | ~ c0_1(a842)
    | ~ sP10_iProver_split
    | c2_1(a842) ),
    inference(instantiation,[status(thm)],[c_13671]) ).

cnf(c_14502,plain,
    ( ~ sP16_iProver_split
    | c1_1(a830)
    | c2_1(a830)
    | c3_1(a830) ),
    inference(instantiation,[status(thm)],[c_13680]) ).

cnf(c_14513,plain,
    ( ~ c1_1(a878)
    | ~ c2_1(a878)
    | ~ sP19_iProver_split
    | c3_1(a878) ),
    inference(instantiation,[status(thm)],[c_13684]) ).

cnf(c_14549,plain,
    ( ~ c1_1(a865)
    | ~ c2_1(a865)
    | ~ c3_1(a865)
    | ~ sP17_iProver_split ),
    inference(instantiation,[status(thm)],[c_13681]) ).

cnf(c_14550,plain,
    ( ~ c1_1(a826)
    | ~ c2_1(a826)
    | ~ c3_1(a826)
    | ~ sP17_iProver_split ),
    inference(instantiation,[status(thm)],[c_13681]) ).

cnf(c_14563,plain,
    ( ~ c1_1(a878)
    | ~ sP13_iProver_split
    | c2_1(a878)
    | c3_1(a878) ),
    inference(instantiation,[status(thm)],[c_13675]) ).

cnf(c_14631,plain,
    ( ~ c1_1(a854)
    | ~ sP4_iProver_split
    | c2_1(a854)
    | c0_1(a854) ),
    inference(instantiation,[status(thm)],[c_13663]) ).

cnf(c_14648,plain,
    ( ~ c2_1(a878)
    | ~ sP18_iProver_split
    | c3_1(a878)
    | c0_1(a878) ),
    inference(instantiation,[status(thm)],[c_13683]) ).

cnf(c_14655,plain,
    ( ~ c2_1(a817)
    | ~ sP18_iProver_split
    | c3_1(a817)
    | c0_1(a817) ),
    inference(instantiation,[status(thm)],[c_13683]) ).

cnf(c_14730,plain,
    ( ~ sP27_iProver_split
    | c2_1(a860)
    | c3_1(a860)
    | c0_1(a860) ),
    inference(instantiation,[status(thm)],[c_13713]) ).

cnf(c_14758,plain,
    ( ~ sP28_iProver_split
    | c1_1(a830)
    | c3_1(a830)
    | c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_13717]) ).

cnf(c_14782,plain,
    ( ~ c3_1(a831)
    | ~ sP7_iProver_split
    | c2_1(a831)
    | c0_1(a831) ),
    inference(instantiation,[status(thm)],[c_13667]) ).

cnf(c_14838,plain,
    ( ~ c1_1(a839)
    | ~ sP4_iProver_split
    | c2_1(a839)
    | c0_1(a839) ),
    inference(instantiation,[status(thm)],[c_13663]) ).

cnf(c_15309,plain,
    ( ~ sP27_iProver_split
    | c2_1(a830)
    | c3_1(a830)
    | c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_13713]) ).

cnf(c_15310,plain,
    ( ~ sP25_iProver_split
    | c1_1(a830)
    | c2_1(a830)
    | c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_13705]) ).

cnf(c_15311,plain,
    ( ~ c1_1(a830)
    | ~ sP4_iProver_split
    | c2_1(a830)
    | c0_1(a830) ),
    inference(instantiation,[status(thm)],[c_13663]) ).

cnf(c_15464,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15309,c_15310,c_15311,c_14838,c_14782,c_14758,c_14730,c_14655,c_14648,c_14631,c_14563,c_14550,c_14549,c_14513,c_14502,c_14432,c_14433,c_14434,c_14427,c_14425,c_14389,c_14301,c_14294,c_14297,c_14255,c_14203,c_14181,c_14141,c_14083,c_14071,c_14066,c_14025,c_14022,c_14020,c_14009,c_14007,c_13992,c_13977,c_13959,c_13952,c_13903,c_13904,c_13876,c_13869,c_13863,c_13825,c_13822,c_13817,c_13815,c_13809,c_13804,c_13793,c_13790,c_13767,c_13765,c_13757,c_13751,c_13736,c_13726,c_13724,c_13723,c_13716,c_13715,c_13714,c_13712,c_13707,c_13706,c_13704,c_13703,c_13697,c_13692,c_13688,c_13687,c_13686,c_13685,c_13672,c_13668,c_13665,c_13718,c_1944,c_1934,c_1924,c_1614,c_1607,c_1600,c_256,c_242,c_137,c_138,c_139,c_140,c_141,c_142,c_143,c_144,c_155,c_156,c_160,c_161,c_162,c_163,c_164,c_165,c_166,c_168,c_169,c_170,c_173,c_174,c_175,c_176,c_87,c_88,c_89,c_93,c_94,c_95,c_102,c_103,c_104,c_105,c_111,c_112,c_113,c_114,c_121,c_122,c_125,c_126,c_127,c_129,c_130,c_131,c_132,c_133]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN452-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 18:51:26 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.32/1.21  % SZS status Started for theBenchmark.p
% 3.32/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 3.32/1.21  
% 3.32/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.32/1.21  
% 3.32/1.21  ------  iProver source info
% 3.32/1.21  
% 3.32/1.21  git: date: 2023-05-31 18:12:56 +0000
% 3.32/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.32/1.21  git: non_committed_changes: false
% 3.32/1.21  git: last_make_outside_of_git: false
% 3.32/1.21  
% 3.32/1.21  ------ Parsing...successful
% 3.32/1.21  
% 3.32/1.21  ------  preprocesses with Option_epr_non_horn_non_eq
% 3.32/1.21  
% 3.32/1.21  
% 3.32/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.32/1.21  
% 3.32/1.21  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.32/1.21   gs_s  sp: 91 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.32/1.21  ------ Proving...
% 3.32/1.21  ------ Problem Properties 
% 3.32/1.21  
% 3.32/1.21  
% 3.32/1.21  clauses                                 180
% 3.32/1.21  conjectures                             177
% 3.32/1.21  EPR                                     180
% 3.32/1.21  Horn                                    102
% 3.32/1.21  unary                                   0
% 3.32/1.21  binary                                  89
% 3.32/1.21  lits                                    483
% 3.32/1.21  lits eq                                 0
% 3.32/1.21  fd_pure                                 0
% 3.32/1.21  fd_pseudo                               0
% 3.32/1.21  fd_cond                                 0
% 3.32/1.21  fd_pseudo_cond                          0
% 3.32/1.21  AC symbols                              0
% 3.32/1.21  
% 3.32/1.21  ------ Schedule EPR non Horn non eq is on
% 3.32/1.21  
% 3.32/1.21  ------ no equalities: superposition off 
% 3.32/1.21  
% 3.32/1.21  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.32/1.21  
% 3.32/1.21  
% 3.32/1.21  ------ 
% 3.32/1.21  Current options:
% 3.32/1.21  ------ 
% 3.32/1.21  
% 3.32/1.21  
% 3.32/1.21  
% 3.32/1.21  
% 3.32/1.21  ------ Proving...
% 3.32/1.21  
% 3.32/1.21  
% 3.32/1.21  % SZS status Unsatisfiable for theBenchmark.p
% 3.32/1.21  
% 3.32/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/1.21  
% 3.32/1.21  
%------------------------------------------------------------------------------