TSTP Solution File: SYN454-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SYN454-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 03:30:49 EDT 2024

% Result   : Unsatisfiable 3.89s 1.14s
% Output   : CNFRefutation 3.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   98
% Syntax   : Number of clauses     :  330 (   2 unt; 208 nHn; 311 RR)
%            Number of literals    : 1418 (   0 equ; 699 neg)
%            Maximal clause size   :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   55 (  54 usr;  51 prp; 0-1 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  236 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( ~ hskp29
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(c_58,negated_conjecture,
    ( ~ hskp20
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).

cnf(c_78,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

cnf(c_82,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).

cnf(c_83,negated_conjecture,
    ( hskp29
    | hskp20
    | hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

cnf(c_84,negated_conjecture,
    ( hskp20
    | hskp8
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).

cnf(c_86,negated_conjecture,
    ( hskp14
    | hskp12
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).

cnf(c_87,negated_conjecture,
    ( hskp14
    | hskp3
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp29
    | c1_1(a165) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(c_92,negated_conjecture,
    ( ~ hskp29
    | c2_1(a165) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).

cnf(c_93,negated_conjecture,
    ( ~ hskp29
    | c3_1(a165) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).

cnf(c_100,negated_conjecture,
    ( ~ hskp26
    | c0_1(a94) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

cnf(c_101,negated_conjecture,
    ( ~ hskp26
    | c1_1(a94) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).

cnf(c_102,negated_conjecture,
    ( ~ hskp26
    | c2_1(a94) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).

cnf(c_109,negated_conjecture,
    ( ~ hskp20
    | c0_1(a133) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

cnf(c_110,negated_conjecture,
    ( ~ hskp20
    | c3_1(a133) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).

cnf(c_113,negated_conjecture,
    ( ~ hskp18
    | c0_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

cnf(c_114,negated_conjecture,
    ( ~ hskp18
    | c1_1(a125) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(c_115,negated_conjecture,
    ( ~ hskp16
    | c1_1(a118) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

cnf(c_116,negated_conjecture,
    ( ~ hskp15
    | c1_1(a116) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(c_117,negated_conjecture,
    ( ~ hskp15
    | c3_1(a116) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).

cnf(c_118,negated_conjecture,
    ( ~ hskp14
    | c0_1(a115) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).

cnf(c_119,negated_conjecture,
    ( ~ hskp13
    | c0_1(a112) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

cnf(c_120,negated_conjecture,
    ( ~ hskp13
    | c3_1(a112) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

cnf(c_121,negated_conjecture,
    ( ~ hskp12
    | c2_1(a110) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

cnf(c_122,negated_conjecture,
    ( ~ hskp12
    | c3_1(a110) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

cnf(c_123,negated_conjecture,
    ( ~ hskp11
    | c2_1(a109) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

cnf(c_124,negated_conjecture,
    ( ~ hskp10
    | c1_1(a106) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

cnf(c_125,negated_conjecture,
    ( ~ hskp10
    | c3_1(a106) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

cnf(c_126,negated_conjecture,
    ( ~ hskp9
    | c0_1(a105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

cnf(c_127,negated_conjecture,
    ( ~ hskp9
    | c2_1(a105) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

cnf(c_128,negated_conjecture,
    ( ~ hskp7
    | c0_1(a103) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

cnf(c_129,negated_conjecture,
    ( ~ hskp6
    | c1_1(a102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

cnf(c_130,negated_conjecture,
    ( ~ hskp6
    | c2_1(a102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

cnf(c_131,negated_conjecture,
    ( ~ hskp5
    | c3_1(a101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).

cnf(c_133,negated_conjecture,
    ( ~ hskp3
    | c2_1(a99) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

cnf(c_134,negated_conjecture,
    ( ~ hskp2
    | c1_1(a98) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

cnf(c_135,negated_conjecture,
    ( ~ hskp1
    | c2_1(a97) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).

cnf(c_136,negated_conjecture,
    ( ~ hskp1
    | c3_1(a97) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

cnf(c_146,negated_conjecture,
    ( ~ c2_1(a133)
    | ~ hskp20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

cnf(c_148,negated_conjecture,
    ( ~ c3_1(a125)
    | ~ hskp18 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

cnf(c_152,negated_conjecture,
    ( ~ c2_1(a118)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

cnf(c_153,negated_conjecture,
    ( ~ c3_1(a118)
    | ~ hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).

cnf(c_154,negated_conjecture,
    ( ~ c0_1(a116)
    | ~ hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).

cnf(c_155,negated_conjecture,
    ( ~ c2_1(a115)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).

cnf(c_156,negated_conjecture,
    ( ~ c3_1(a115)
    | ~ hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).

cnf(c_157,negated_conjecture,
    ( ~ c1_1(a112)
    | ~ hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).

cnf(c_158,negated_conjecture,
    ( ~ c0_1(a110)
    | ~ hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).

cnf(c_159,negated_conjecture,
    ( ~ c0_1(a109)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).

cnf(c_160,negated_conjecture,
    ( ~ c3_1(a109)
    | ~ hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a105)
    | ~ hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).

cnf(c_163,negated_conjecture,
    ( ~ c0_1(a104)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

cnf(c_164,negated_conjecture,
    ( ~ c2_1(a104)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

cnf(c_165,negated_conjecture,
    ( ~ c3_1(a104)
    | ~ hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).

cnf(c_166,negated_conjecture,
    ( ~ c1_1(a103)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

cnf(c_167,negated_conjecture,
    ( ~ c3_1(a103)
    | ~ hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

cnf(c_168,negated_conjecture,
    ( ~ c3_1(a102)
    | ~ hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

cnf(c_169,negated_conjecture,
    ( ~ c1_1(a101)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).

cnf(c_170,negated_conjecture,
    ( ~ c2_1(a101)
    | ~ hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).

cnf(c_173,negated_conjecture,
    ( ~ c1_1(a99)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).

cnf(c_174,negated_conjecture,
    ( ~ c3_1(a99)
    | ~ hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).

cnf(c_175,negated_conjecture,
    ( ~ c0_1(a98)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).

cnf(c_176,negated_conjecture,
    ( ~ c3_1(a98)
    | ~ hskp2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).

cnf(c_177,negated_conjecture,
    ( ~ c1_1(a97)
    | ~ hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

cnf(c_178,negated_conjecture,
    ( ~ c1_1(a96)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).

cnf(c_179,negated_conjecture,
    ( ~ c2_1(a96)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

cnf(c_180,negated_conjecture,
    ( ~ c3_1(a96)
    | ~ hskp0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).

cnf(c_183,negated_conjecture,
    ( ~ ndr1_0
    | c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp13
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).

cnf(c_186,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

cnf(c_187,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).

cnf(c_188,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

cnf(c_190,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp26
    | hskp11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).

cnf(c_191,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp14
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

cnf(c_193,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp26
    | hskp17 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).

cnf(c_194,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp18
    | hskp14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).

cnf(c_203,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).

cnf(c_205,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).

cnf(c_206,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

cnf(c_208,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).

cnf(c_209,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).

cnf(c_210,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | hskp12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).

cnf(c_211,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).

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)
    | hskp15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).

cnf(c_214,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).

cnf(c_215,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).

cnf(c_217,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X0)
    | hskp16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).

cnf(c_218,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c3_1(X1)
    | hskp8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).

cnf(c_219,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).

cnf(c_220,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).

cnf(c_221,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

cnf(c_222,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).

cnf(c_223,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/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(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).

cnf(c_225,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).

cnf(c_226,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).

cnf(c_227,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).

cnf(c_228,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).

cnf(c_257,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_78,c_83,c_78,c_58,c_49]) ).

cnf(c_320,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp13
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_83,c_78,c_58,c_49,c_183]) ).

cnf(c_329,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp12
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_83,c_78,c_58,c_49,c_188]) ).

cnf(c_332,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | hskp20
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_83,c_78,c_58,c_49,c_187]) ).

cnf(c_335,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp13 ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_83,c_78,c_58,c_49,c_186]) ).

cnf(c_336,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp13 ),
    inference(renaming,[status(thm)],[c_335]) ).

cnf(c_359,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp18
    | hskp14 ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_83,c_78,c_58,c_49,c_194]) ).

cnf(c_360,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp18
    | hskp14 ),
    inference(renaming,[status(thm)],[c_359]) ).

cnf(c_362,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp26
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_83,c_78,c_58,c_49,c_193]) ).

cnf(c_363,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp26
    | hskp17 ),
    inference(renaming,[status(thm)],[c_362]) ).

cnf(c_368,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_83,c_78,c_58,c_49,c_191]) ).

cnf(c_369,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp14
    | hskp10 ),
    inference(renaming,[status(thm)],[c_368]) ).

cnf(c_371,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp26
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_83,c_78,c_58,c_49,c_190]) ).

cnf(c_372,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp26
    | hskp11 ),
    inference(renaming,[status(thm)],[c_371]) ).

cnf(c_383,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_83,c_78,c_58,c_49,c_203]) ).

cnf(c_386,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_83,c_78,c_58,c_49,c_208]) ).

cnf(c_387,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(renaming,[status(thm)],[c_386]) ).

cnf(c_392,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_83,c_78,c_58,c_49,c_206]) ).

cnf(c_393,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | c1_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_392]) ).

cnf(c_395,plain,
    ( ~ c0_1(X1)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_83,c_78,c_58,c_49,c_205]) ).

cnf(c_396,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_395]) ).

cnf(c_399,plain,
    ( ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_83,c_78,c_58,c_49,c_214]) ).

cnf(c_400,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_399]) ).

cnf(c_403,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_83,c_78,c_58,c_49,c_212]) ).

cnf(c_404,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_403]) ).

cnf(c_406,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_83,c_78,c_58,c_49,c_211]) ).

cnf(c_407,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp3 ),
    inference(renaming,[status(thm)],[c_406]) ).

cnf(c_408,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_83,c_78,c_58,c_49,c_210]) ).

cnf(c_409,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X0)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_408]) ).

cnf(c_410,plain,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_83,c_78,c_58,c_49,c_209]) ).

cnf(c_411,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp7 ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_412,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c3_1(X1)
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_83,c_78,c_58,c_49,c_218]) ).

cnf(c_413,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | hskp8 ),
    inference(renaming,[status(thm)],[c_412]) ).

cnf(c_414,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c3_1(X0)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_83,c_78,c_58,c_49,c_217]) ).

cnf(c_415,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X1)
    | c3_1(X0)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_414]) ).

cnf(c_418,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_83,c_78,c_58,c_49,c_215]) ).

cnf(c_419,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c1_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_418]) ).

cnf(c_420,plain,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_83,c_78,c_58,c_49,c_219]) ).

cnf(c_421,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | c0_1(X0)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_420]) ).

cnf(c_422,plain,
    ( ~ c2_1(X1)
    | ~ c1_1(X0)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_83,c_78,c_58,c_49,c_220]) ).

cnf(c_423,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_422]) ).

cnf(c_424,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_83,c_78,c_58,c_49,c_221]) ).

cnf(c_425,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_424]) ).

cnf(c_426,plain,
    ( ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_83,c_78,c_58,c_49,c_223]) ).

cnf(c_427,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_426]) ).

cnf(c_428,plain,
    ( ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_222,c_257]) ).

cnf(c_429,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_428]) ).

cnf(c_430,plain,
    ( ~ c3_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_83,c_78,c_58,c_49,c_225]) ).

cnf(c_431,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_430]) ).

cnf(c_432,plain,
    ( ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_83,c_78,c_58,c_49,c_224]) ).

cnf(c_433,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | c2_1(X0)
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_432]) ).

cnf(c_434,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X2)
    | ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_83,c_78,c_58,c_49,c_226]) ).

cnf(c_435,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_434]) ).

cnf(c_436,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_83,c_78,c_58,c_49,c_228]) ).

cnf(c_437,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(renaming,[status(thm)],[c_436]) ).

cnf(c_439,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_83,c_78,c_58,c_49,c_227]) ).

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

cnf(c_1306,plain,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | ~ c0_1(X0)
    | c0_1(X1)
    | hskp1 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_419,c_421]) ).

cnf(c_1442,plain,
    ( ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c3_1(X0)
    | ~ c3_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X1)
    | c2_1(X2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_435,c_437]) ).

cnf(c_1725,plain,
    ( c3_1(a165)
    | hskp20
    | hskp0 ),
    inference(resolution,[status(thm)],[c_83,c_93]) ).

cnf(c_1735,plain,
    ( c2_1(a165)
    | hskp20
    | hskp0 ),
    inference(resolution,[status(thm)],[c_83,c_92]) ).

cnf(c_1745,plain,
    ( c1_1(a165)
    | hskp20
    | hskp0 ),
    inference(resolution,[status(thm)],[c_83,c_91]) ).

cnf(c_2121,plain,
    ( ~ c3_1(a98)
    | hskp14
    | hskp9 ),
    inference(resolution,[status(thm)],[c_82,c_176]) ).

cnf(c_2131,plain,
    ( ~ c0_1(a98)
    | hskp14
    | hskp9 ),
    inference(resolution,[status(thm)],[c_82,c_175]) ).

cnf(c_2141,plain,
    ( c1_1(a98)
    | hskp14
    | hskp9 ),
    inference(resolution,[status(thm)],[c_82,c_134]) ).

cnf(c_2927,plain,
    ( ~ c3_1(a109)
    | hskp14
    | hskp12 ),
    inference(resolution,[status(thm)],[c_86,c_160]) ).

cnf(c_2937,plain,
    ( ~ c0_1(a109)
    | hskp14
    | hskp12 ),
    inference(resolution,[status(thm)],[c_86,c_159]) ).

cnf(c_2947,plain,
    ( c2_1(a109)
    | hskp14
    | hskp12 ),
    inference(resolution,[status(thm)],[c_86,c_123]) ).

cnf(c_4796,plain,
    ( ~ c1_1(a97)
    | hskp14
    | hskp3 ),
    inference(resolution,[status(thm)],[c_87,c_177]) ).

cnf(c_4806,plain,
    ( c3_1(a97)
    | hskp14
    | hskp3 ),
    inference(resolution,[status(thm)],[c_87,c_136]) ).

cnf(c_4816,plain,
    ( c2_1(a97)
    | hskp14
    | hskp3 ),
    inference(resolution,[status(thm)],[c_87,c_135]) ).

cnf(c_6395,plain,
    ( ~ c3_1(a104)
    | hskp20
    | hskp3 ),
    inference(resolution,[status(thm)],[c_84,c_165]) ).

cnf(c_6405,plain,
    ( ~ c2_1(a104)
    | hskp20
    | hskp3 ),
    inference(resolution,[status(thm)],[c_84,c_164]) ).

cnf(c_6415,plain,
    ( ~ c0_1(a104)
    | hskp20
    | hskp3 ),
    inference(resolution,[status(thm)],[c_84,c_163]) ).

cnf(c_13804,plain,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_1442]) ).

cnf(c_13805,plain,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_1442]) ).

cnf(c_13806,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_1442]) ).

cnf(c_13807,plain,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1442]) ).

cnf(c_13809,plain,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_1306]) ).

cnf(c_13811,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_440]) ).

cnf(c_13812,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_def])],[c_440]) ).

cnf(c_13813,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_440]) ).

cnf(c_13814,negated_conjecture,
    ( sP5_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

cnf(c_13815,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP8_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_def])],[c_433]) ).

cnf(c_13816,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_def])],[c_433]) ).

cnf(c_13817,negated_conjecture,
    ( sP5_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

cnf(c_13818,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP10_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_def])],[c_431]) ).

cnf(c_13819,negated_conjecture,
    ( c0_1(X0)
    | ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_def])],[c_431]) ).

cnf(c_13820,negated_conjecture,
    ( sP6_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

cnf(c_13821,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | ~ sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_def])],[c_429]) ).

cnf(c_13822,negated_conjecture,
    ( c0_1(X0)
    | ~ c3_1(X0)
    | c2_1(X0)
    | ~ sP13_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_def])],[c_429]) ).

cnf(c_13823,negated_conjecture,
    ( c0_1(X0)
    | ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_def])],[c_429]) ).

cnf(c_13824,negated_conjecture,
    ( sP12_iProver_def
    | sP13_iProver_def
    | sP14_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

cnf(c_13825,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP15_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_def])],[c_427]) ).

cnf(c_13826,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_def])],[c_427]) ).

cnf(c_13827,negated_conjecture,
    ( sP9_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

cnf(c_13828,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_def])],[c_425]) ).

cnf(c_13829,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_def])],[c_425]) ).

cnf(c_13830,negated_conjecture,
    ( sP11_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

cnf(c_13831,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | ~ sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_def])],[c_423]) ).

cnf(c_13832,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP20_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_def])],[c_423]) ).

cnf(c_13835,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | ~ sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_def])],[c_415]) ).

cnf(c_13836,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | ~ c1_1(X0)
    | ~ sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_def])],[c_415]) ).

cnf(c_13837,negated_conjecture,
    ( hskp16
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

cnf(c_13838,negated_conjecture,
    ( ~ c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_def])],[c_413]) ).

cnf(c_13840,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_def])],[c_411]) ).

cnf(c_13841,negated_conjecture,
    ( hskp7
    | sP14_iProver_def
    | sP24_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_13842,negated_conjecture,
    ( hskp12
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

cnf(c_13843,negated_conjecture,
    ( hskp3
    | sP4_iProver_def
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

cnf(c_13844,negated_conjecture,
    ( hskp15
    | sP5_iProver_def
    | sP16_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

cnf(c_13846,negated_conjecture,
    ( c3_1(X0)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_def])],[c_400]) ).

cnf(c_13847,negated_conjecture,
    ( hskp5
    | sP20_iProver_def
    | sP25_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_400]) ).

cnf(c_13850,negated_conjecture,
    ( hskp9
    | sP8_iProver_def
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

cnf(c_13851,negated_conjecture,
    ( hskp10
    | sP10_iProver_def
    | sP17_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_393]) ).

cnf(c_13853,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_def])],[c_387]) ).

cnf(c_13854,negated_conjecture,
    ( sP12_iProver_def
    | sP27_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

cnf(c_13855,negated_conjecture,
    ( c0_1(X0)
    | c3_1(X0)
    | c2_1(X0)
    | ~ sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_def])],[c_383]) ).

cnf(c_13856,negated_conjecture,
    ( hskp6
    | sP24_iProver_def
    | sP28_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

cnf(c_13861,negated_conjecture,
    ( hskp26
    | hskp11
    | sP6_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

cnf(c_13862,negated_conjecture,
    ( hskp14
    | hskp10
    | sP21_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_369]) ).

cnf(c_13864,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | ~ sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_def])],[c_363]) ).

cnf(c_13866,negated_conjecture,
    ( hskp18
    | hskp14
    | sP30_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

cnf(c_13875,negated_conjecture,
    ( hskp20
    | hskp10
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_332]) ).

cnf(c_13876,negated_conjecture,
    ( hskp12
    | hskp5
    | sP23_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_329]) ).

cnf(c_13879,negated_conjecture,
    ( hskp13
    | hskp3
    | sP19_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_320]) ).

cnf(c_13880,negated_conjecture,
    ( sP5_iProver_def
    | sP6_iProver_def
    | sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_13814]) ).

cnf(c_13881,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_13813]) ).

cnf(c_13884,negated_conjecture,
    ( sP5_iProver_def
    | sP8_iProver_def
    | sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_13817]) ).

cnf(c_13888,negated_conjecture,
    ( sP6_iProver_def
    | sP10_iProver_def
    | sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_13820]) ).

cnf(c_13892,negated_conjecture,
    ( sP12_iProver_def
    | sP13_iProver_def
    | sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_13824]) ).

cnf(c_13896,negated_conjecture,
    ( sP9_iProver_def
    | sP15_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_13827]) ).

cnf(c_13897,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP9_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13816]) ).

cnf(c_13900,negated_conjecture,
    ( sP11_iProver_def
    | sP17_iProver_def
    | sP18_iProver_def ),
    inference(demodulation,[status(thm)],[c_13830]) ).

cnf(c_13909,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP13_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13822]) ).

cnf(c_13910,negated_conjecture,
    ( hskp16
    | sP21_iProver_def
    | sP22_iProver_def ),
    inference(demodulation,[status(thm)],[c_13837]) ).

cnf(c_13915,negated_conjecture,
    ( hskp7
    | sP14_iProver_def
    | sP24_iProver_def ),
    inference(demodulation,[status(thm)],[c_13841]) ).

cnf(c_13917,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP14_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13823]) ).

cnf(c_13918,negated_conjecture,
    ( hskp12
    | sP11_iProver_def
    | sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_13842]) ).

cnf(c_13919,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | ~ sP11_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13819]) ).

cnf(c_13921,negated_conjecture,
    ( hskp3
    | sP4_iProver_def
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13843]) ).

cnf(c_13923,negated_conjecture,
    ( hskp15
    | sP5_iProver_def
    | sP16_iProver_def ),
    inference(demodulation,[status(thm)],[c_13844]) ).

cnf(c_13924,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP5_iProver_def
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13811]) ).

cnf(c_13927,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ sP22_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13836]) ).

cnf(c_13929,negated_conjecture,
    ( hskp5
    | sP20_iProver_def
    | sP25_iProver_def ),
    inference(demodulation,[status(thm)],[c_13847]) ).

cnf(c_13931,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP20_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13832]) ).

cnf(c_13934,negated_conjecture,
    ( hskp9
    | sP8_iProver_def
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_13850]) ).

cnf(c_13935,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP8_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13815]) ).

cnf(c_13937,negated_conjecture,
    ( hskp10
    | sP10_iProver_def
    | sP17_iProver_def ),
    inference(demodulation,[status(thm)],[c_13851]) ).

cnf(c_13938,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP17_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13828]) ).

cnf(c_13939,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ sP10_iProver_def
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13818]) ).

cnf(c_13941,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ sP15_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13825]) ).

cnf(c_13942,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP16_iProver_def
    | c1_1(X0)
    | c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_13826]) ).

cnf(c_13943,negated_conjecture,
    ( sP12_iProver_def
    | sP27_iProver_def ),
    inference(demodulation,[status(thm)],[c_13854]) ).

cnf(c_13944,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ sP27_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13853]) ).

cnf(c_13945,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP12_iProver_def
    | c1_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13821]) ).

cnf(c_13946,negated_conjecture,
    ( hskp6
    | sP24_iProver_def
    | sP28_iProver_def ),
    inference(demodulation,[status(thm)],[c_13856]) ).

cnf(c_13947,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ sP24_iProver_def
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13840]) ).

cnf(c_13948,negated_conjecture,
    ( ~ sP28_iProver_def
    | c2_1(X0)
    | c3_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13855]) ).

cnf(c_13954,negated_conjecture,
    ( hskp26
    | hskp11
    | sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_13861]) ).

cnf(c_13955,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP6_iProver_def
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13812]) ).

cnf(c_13956,negated_conjecture,
    ( hskp14
    | hskp10
    | sP21_iProver_def ),
    inference(demodulation,[status(thm)],[c_13862]) ).

cnf(c_13959,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ sP21_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13835]) ).

cnf(c_13962,negated_conjecture,
    ( hskp18
    | hskp14
    | sP30_iProver_def ),
    inference(demodulation,[status(thm)],[c_13866]) ).

cnf(c_13967,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP30_iProver_def
    | c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_13864]) ).

cnf(c_13972,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ sP25_iProver_def
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13846]) ).

cnf(c_13977,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c1_1(X0)
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_336]) ).

cnf(c_13978,negated_conjecture,
    ( hskp20
    | hskp10
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_13875]) ).

cnf(c_13980,negated_conjecture,
    ( hskp12
    | hskp5
    | sP23_iProver_def ),
    inference(demodulation,[status(thm)],[c_13876]) ).

cnf(c_13983,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ sP23_iProver_def
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13838]) ).

cnf(c_13985,negated_conjecture,
    ( ~ sP18_iProver_def
    | c1_1(X0)
    | c2_1(X0)
    | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_13829]) ).

cnf(c_13986,negated_conjecture,
    ( hskp13
    | hskp3
    | sP19_iProver_def ),
    inference(demodulation,[status(thm)],[c_13879]) ).

cnf(c_13987,negated_conjecture,
    ( ~ sP19_iProver_def
    | c1_1(X0)
    | c2_1(X0)
    | c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_13831]) ).

cnf(c_14118,plain,
    ( ~ c1_1(a106)
    | ~ c3_1(a106)
    | ~ sP9_iProver_def
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_13897]) ).

cnf(c_14124,plain,
    ( ~ c1_1(a106)
    | ~ c3_1(a106)
    | ~ sP11_iProver_def
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

cnf(c_14135,plain,
    ( ~ c2_1(a109)
    | ~ sP10_iProver_def
    | c3_1(a109)
    | c0_1(a109) ),
    inference(instantiation,[status(thm)],[c_13939]) ).

cnf(c_14138,plain,
    ( ~ c2_1(a99)
    | ~ sP10_iProver_def
    | c3_1(a99)
    | c0_1(a99) ),
    inference(instantiation,[status(thm)],[c_13939]) ).

cnf(c_14142,plain,
    ( ~ c0_1(a115)
    | ~ sP12_iProver_def
    | c1_1(a115)
    | c3_1(a115) ),
    inference(instantiation,[status(thm)],[c_13945]) ).

cnf(c_14144,plain,
    ( ~ c0_1(a105)
    | ~ sP12_iProver_def
    | c1_1(a105)
    | c3_1(a105) ),
    inference(instantiation,[status(thm)],[c_13945]) ).

cnf(c_14145,plain,
    ( ~ c0_1(a103)
    | ~ sP12_iProver_def
    | c1_1(a103)
    | c3_1(a103) ),
    inference(instantiation,[status(thm)],[c_13945]) ).

cnf(c_14149,plain,
    ( ~ c1_1(a106)
    | ~ c0_1(a106)
    | ~ sP0_iProver_def
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_13804]) ).

cnf(c_14154,plain,
    ( ~ c3_1(a112)
    | ~ sP15_iProver_def
    | c1_1(a112)
    | c2_1(a112) ),
    inference(instantiation,[status(thm)],[c_13941]) ).

cnf(c_14157,plain,
    ( ~ c3_1(a101)
    | ~ sP15_iProver_def
    | c1_1(a101)
    | c2_1(a101) ),
    inference(instantiation,[status(thm)],[c_13941]) ).

cnf(c_14163,plain,
    ( ~ c2_1(a109)
    | ~ sP17_iProver_def
    | c1_1(a109)
    | c3_1(a109) ),
    inference(instantiation,[status(thm)],[c_13938]) ).

cnf(c_14166,plain,
    ( ~ c2_1(a99)
    | ~ sP17_iProver_def
    | c1_1(a99)
    | c3_1(a99) ),
    inference(instantiation,[status(thm)],[c_13938]) ).

cnf(c_14170,plain,
    ( ~ c1_1(a109)
    | ~ c2_1(a109)
    | ~ sP6_iProver_def
    | c0_1(a109) ),
    inference(instantiation,[status(thm)],[c_13955]) ).

cnf(c_14179,plain,
    ( ~ c2_1(a97)
    | ~ c3_1(a97)
    | c1_1(a97)
    | hskp13 ),
    inference(instantiation,[status(thm)],[c_13977]) ).

cnf(c_14187,plain,
    ( ~ sP19_iProver_def
    | c1_1(a96)
    | c2_1(a96)
    | c3_1(a96) ),
    inference(instantiation,[status(thm)],[c_13987]) ).

cnf(c_14191,plain,
    ( ~ c3_1(a106)
    | ~ sP13_iProver_def
    | c2_1(a106)
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_13909]) ).

cnf(c_14198,plain,
    ( ~ c2_1(a105)
    | ~ c0_1(a105)
    | ~ sP27_iProver_def
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_13944]) ).

cnf(c_14207,plain,
    ( ~ c1_1(a115)
    | ~ c0_1(a115)
    | ~ sP0_iProver_def
    | c2_1(a115) ),
    inference(instantiation,[status(thm)],[c_13804]) ).

cnf(c_14215,plain,
    ( ~ c1_1(a94)
    | ~ c2_1(a94)
    | ~ c0_1(a94)
    | ~ sP7_iProver_def ),
    inference(instantiation,[status(thm)],[c_13881]) ).

cnf(c_14226,plain,
    ( ~ c1_1(a98)
    | ~ sP8_iProver_def
    | c3_1(a98)
    | c0_1(a98) ),
    inference(instantiation,[status(thm)],[c_13935]) ).

cnf(c_14231,plain,
    ( ~ c0_1(a112)
    | ~ sP16_iProver_def
    | c1_1(a112)
    | c2_1(a112) ),
    inference(instantiation,[status(thm)],[c_13942]) ).

cnf(c_14236,plain,
    ( ~ c1_1(a118)
    | ~ sP20_iProver_def
    | c2_1(a118)
    | c3_1(a118) ),
    inference(instantiation,[status(thm)],[c_13931]) ).

cnf(c_14239,plain,
    ( ~ c1_1(a98)
    | ~ sP20_iProver_def
    | c2_1(a98)
    | c3_1(a98) ),
    inference(instantiation,[status(thm)],[c_13931]) ).

cnf(c_14265,plain,
    ( ~ c0_1(a125)
    | ~ sP23_iProver_def
    | c2_1(a125)
    | c3_1(a125) ),
    inference(instantiation,[status(thm)],[c_13983]) ).

cnf(c_14266,plain,
    ( ~ c0_1(a115)
    | ~ sP23_iProver_def
    | c2_1(a115)
    | c3_1(a115) ),
    inference(instantiation,[status(thm)],[c_13983]) ).

cnf(c_14272,plain,
    ( ~ c2_1(a110)
    | ~ c3_1(a110)
    | ~ sP14_iProver_def
    | c0_1(a110) ),
    inference(instantiation,[status(thm)],[c_13917]) ).

cnf(c_14281,plain,
    ( ~ c2_1(a112)
    | ~ c3_1(a112)
    | ~ c0_1(a112)
    | ~ sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_13809]) ).

cnf(c_14282,plain,
    ( ~ c2_1(a105)
    | ~ c3_1(a105)
    | ~ c0_1(a105)
    | ~ sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_13809]) ).

cnf(c_14316,plain,
    ( ~ c1_1(a102)
    | ~ c2_1(a102)
    | ~ sP25_iProver_def
    | c3_1(a102) ),
    inference(instantiation,[status(thm)],[c_13972]) ).

cnf(c_14331,plain,
    ( ~ c3_1(a112)
    | ~ c0_1(a112)
    | ~ sP21_iProver_def
    | c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_13959]) ).

cnf(c_14393,plain,
    ( ~ c2_1(a99)
    | ~ c0_1(a99)
    | ~ sP27_iProver_def
    | c1_1(a99) ),
    inference(instantiation,[status(thm)],[c_13944]) ).

cnf(c_14394,plain,
    ( ~ c0_1(a99)
    | ~ sP12_iProver_def
    | c1_1(a99)
    | c3_1(a99) ),
    inference(instantiation,[status(thm)],[c_13945]) ).

cnf(c_14418,plain,
    ( ~ c1_1(a116)
    | ~ c3_1(a116)
    | ~ sP11_iProver_def
    | c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_13919]) ).

cnf(c_14419,plain,
    ( ~ c1_1(a116)
    | ~ c3_1(a116)
    | ~ sP9_iProver_def
    | c2_1(a116) ),
    inference(instantiation,[status(thm)],[c_13897]) ).

cnf(c_14426,plain,
    ( ~ c1_1(a125)
    | ~ c2_1(a125)
    | ~ sP25_iProver_def
    | c3_1(a125) ),
    inference(instantiation,[status(thm)],[c_13972]) ).

cnf(c_14461,plain,
    ( ~ c1_1(a98)
    | ~ c2_1(a98)
    | ~ sP6_iProver_def
    | c0_1(a98) ),
    inference(instantiation,[status(thm)],[c_13955]) ).

cnf(c_14477,plain,
    ( ~ c1_1(a133)
    | ~ c3_1(a133)
    | ~ c0_1(a133)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_13806]) ).

cnf(c_14479,plain,
    ( ~ c3_1(a133)
    | ~ sP1_iProver_def
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_13805]) ).

cnf(c_14483,plain,
    ( ~ c3_1(a133)
    | ~ sP15_iProver_def
    | c1_1(a133)
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_13941]) ).

cnf(c_14489,plain,
    ( ~ c0_1(a133)
    | ~ sP16_iProver_def
    | c1_1(a133)
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_13942]) ).

cnf(c_14491,plain,
    ( ~ c1_1(a133)
    | ~ c0_1(a133)
    | ~ sP0_iProver_def
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_13804]) ).

cnf(c_14494,plain,
    ( ~ c3_1(a133)
    | ~ c0_1(a133)
    | ~ sP5_iProver_def
    | c2_1(a133) ),
    inference(instantiation,[status(thm)],[c_13924]) ).

cnf(c_14513,plain,
    ( ~ c1_1(a106)
    | ~ c3_1(a106)
    | ~ c0_1(a106)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_13806]) ).

cnf(c_14515,plain,
    ( ~ c3_1(a106)
    | ~ sP1_iProver_def
    | c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_13805]) ).

cnf(c_14571,plain,
    ( ~ c1_1(a106)
    | ~ sP24_iProver_def
    | c2_1(a106)
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_13947]) ).

cnf(c_14596,plain,
    ( ~ c1_1(a125)
    | ~ c0_1(a125)
    | ~ sP22_iProver_def
    | c3_1(a125) ),
    inference(instantiation,[status(thm)],[c_13927]) ).

cnf(c_14667,plain,
    ( ~ c3_1(a105)
    | ~ c0_1(a105)
    | ~ sP21_iProver_def
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_13959]) ).

cnf(c_14738,plain,
    ( ~ sP18_iProver_def
    | c1_1(a101)
    | c2_1(a101)
    | c0_1(a101) ),
    inference(instantiation,[status(thm)],[c_13985]) ).

cnf(c_14776,plain,
    ( ~ c0_1(a101)
    | ~ sP16_iProver_def
    | c1_1(a101)
    | c2_1(a101) ),
    inference(instantiation,[status(thm)],[c_13942]) ).

cnf(c_14796,plain,
    ( ~ c1_1(a116)
    | ~ c2_1(a116)
    | ~ sP6_iProver_def
    | c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_13955]) ).

cnf(c_14825,plain,
    ( ~ c1_1(a165)
    | ~ c3_1(a165)
    | ~ c0_1(a165)
    | ~ sP2_iProver_def ),
    inference(instantiation,[status(thm)],[c_13806]) ).

cnf(c_14845,plain,
    ( ~ sP19_iProver_def
    | c1_1(a104)
    | c2_1(a104)
    | c3_1(a104) ),
    inference(instantiation,[status(thm)],[c_13987]) ).

cnf(c_14889,plain,
    ( ~ c1_1(a104)
    | ~ sP8_iProver_def
    | c3_1(a104)
    | c0_1(a104) ),
    inference(instantiation,[status(thm)],[c_13935]) ).

cnf(c_14899,plain,
    ( ~ sP28_iProver_def
    | c2_1(a104)
    | c3_1(a104)
    | c0_1(a104) ),
    inference(instantiation,[status(thm)],[c_13948]) ).

cnf(c_14902,plain,
    ( ~ sP28_iProver_def
    | c2_1(a98)
    | c3_1(a98)
    | c0_1(a98) ),
    inference(instantiation,[status(thm)],[c_13948]) ).

cnf(c_14906,plain,
    ( ~ c2_1(a105)
    | ~ c3_1(a105)
    | ~ sP30_iProver_def
    | c1_1(a105) ),
    inference(instantiation,[status(thm)],[c_13967]) ).

cnf(c_14909,plain,
    ( ~ c2_1(a97)
    | ~ c3_1(a97)
    | ~ sP30_iProver_def
    | c1_1(a97) ),
    inference(instantiation,[status(thm)],[c_13967]) ).

cnf(c_15073,plain,
    ( ~ c3_1(a101)
    | ~ c0_1(a101)
    | ~ sP5_iProver_def
    | c2_1(a101) ),
    inference(instantiation,[status(thm)],[c_13924]) ).

cnf(c_15174,plain,
    ( ~ c2_1(a165)
    | ~ c3_1(a165)
    | ~ sP14_iProver_def
    | c0_1(a165) ),
    inference(instantiation,[status(thm)],[c_13917]) ).

cnf(c_15257,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15174,c_15073,c_14909,c_14906,c_14902,c_14899,c_14889,c_14845,c_14825,c_14796,c_14776,c_14738,c_14667,c_14596,c_14571,c_14513,c_14515,c_14489,c_14491,c_14494,c_14477,c_14479,c_14483,c_14461,c_14426,c_14418,c_14419,c_14393,c_14394,c_14331,c_14316,c_14282,c_14281,c_14272,c_14266,c_14265,c_14239,c_14236,c_14231,c_14226,c_14215,c_14207,c_14198,c_14191,c_14187,c_14179,c_14170,c_14166,c_14163,c_14157,c_14154,c_14149,c_14145,c_14144,c_14142,c_14138,c_14135,c_14124,c_14118,c_13986,c_13980,c_13978,c_13962,c_13956,c_13954,c_13946,c_13937,c_13934,c_13929,c_13923,c_13921,c_13918,c_13915,c_13910,c_13900,c_13896,c_13892,c_13888,c_13884,c_13880,c_13807,c_13943,c_6415,c_6405,c_6395,c_4816,c_4806,c_4796,c_2947,c_2937,c_2927,c_2141,c_2131,c_2121,c_1745,c_1735,c_1725,c_146,c_148,c_152,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_160,c_161,c_162,c_166,c_167,c_168,c_169,c_170,c_173,c_174,c_177,c_178,c_179,c_180,c_100,c_101,c_102,c_109,c_110,c_113,c_114,c_115,c_116,c_117,c_118,c_119,c_120,c_121,c_122,c_123,c_124,c_125,c_126,c_127,c_128,c_129,c_130,c_131,c_133,c_135,c_136,c_87]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN454-1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 20:50:40 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.89/1.14  % SZS status Started for theBenchmark.p
% 3.89/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.14  
% 3.89/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.89/1.14  
% 3.89/1.14  ------  iProver source info
% 3.89/1.14  
% 3.89/1.14  git: date: 2024-05-02 19:28:25 +0000
% 3.89/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.89/1.14  git: non_committed_changes: false
% 3.89/1.14  
% 3.89/1.14  ------ Parsing...successful
% 3.89/1.14  
% 3.89/1.14  ------  preprocesses with Option_epr_non_horn_non_eq
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.89/1.14  
% 3.89/1.14  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.89/1.14   gs_s  sp: 76 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.89/1.14  ------ Proving...
% 3.89/1.14  ------ Problem Properties 
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  clauses                                 178
% 3.89/1.14  conjectures                             165
% 3.89/1.14  EPR                                     178
% 3.89/1.14  Horn                                    101
% 3.89/1.14  unary                                   0
% 3.89/1.14  binary                                  85
% 3.89/1.14  lits                                    481
% 3.89/1.14  lits eq                                 0
% 3.89/1.14  fd_pure                                 0
% 3.89/1.14  fd_pseudo                               0
% 3.89/1.14  fd_cond                                 0
% 3.89/1.14  fd_pseudo_cond                          0
% 3.89/1.14  AC symbols                              0
% 3.89/1.14  
% 3.89/1.14  ------ Schedule EPR non Horn non eq is on
% 3.89/1.14  
% 3.89/1.14  ------ no equalities: superposition off 
% 3.89/1.14  
% 3.89/1.14  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  ------ 
% 3.89/1.14  Current options:
% 3.89/1.14  ------ 
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  ------ Proving...
% 3.89/1.14  
% 3.89/1.14  
% 3.89/1.14  % SZS status Unsatisfiable for theBenchmark.p
% 3.89/1.14  
% 3.89/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.89/1.14  
% 3.89/1.14  
%------------------------------------------------------------------------------