TSTP Solution File: SYN475-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 03:07:38 EDT 2023
% Result : Unsatisfiable 0.46s 1.17s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 102
% Syntax : Number of clauses : 341 ( 2 unt; 212 nHn; 317 RR)
% Number of literals : 1592 ( 0 equ; 817 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 53 ( 52 usr; 49 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 257 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_57,negated_conjecture,
( ~ hskp21
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(c_71,negated_conjecture,
( ~ hskp7
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
cnf(c_74,negated_conjecture,
( ~ hskp4
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
cnf(c_78,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
cnf(c_81,negated_conjecture,
( hskp29
| hskp26
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(c_86,negated_conjecture,
( hskp21
| hskp7
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(c_87,negated_conjecture,
( hskp25
| hskp24
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(c_88,negated_conjecture,
( ~ hskp29
| c0_1(a1040) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(c_89,negated_conjecture,
( ~ hskp29
| c1_1(a1040) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(c_90,negated_conjecture,
( ~ hskp29
| c3_1(a1040) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(c_97,negated_conjecture,
( ~ hskp26
| c3_1(a1052) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
cnf(c_98,negated_conjecture,
( ~ hskp25
| c1_1(a1048) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
cnf(c_99,negated_conjecture,
( ~ hskp24
| c1_1(a1045) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(c_100,negated_conjecture,
( ~ hskp24
| c3_1(a1045) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
cnf(c_107,negated_conjecture,
( ~ hskp17
| c2_1(a1032) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
cnf(c_108,negated_conjecture,
( ~ hskp17
| c3_1(a1032) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
cnf(c_110,negated_conjecture,
( ~ hskp15
| c2_1(a1026) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
cnf(c_111,negated_conjecture,
( ~ hskp14
| c0_1(a1025) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
cnf(c_112,negated_conjecture,
( ~ hskp13
| c3_1(a1023) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
cnf(c_113,negated_conjecture,
( ~ hskp12
| c1_1(a1019) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
cnf(c_114,negated_conjecture,
( ~ hskp12
| c2_1(a1019) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
cnf(c_115,negated_conjecture,
( ~ hskp11
| c3_1(a1015) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
cnf(c_119,negated_conjecture,
( ~ hskp8
| c0_1(a1010) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
cnf(c_120,negated_conjecture,
( ~ hskp8
| c3_1(a1010) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
cnf(c_121,negated_conjecture,
( ~ hskp7
| c2_1(a1008) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
cnf(c_122,negated_conjecture,
( ~ hskp6
| c0_1(a1006) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
cnf(c_123,negated_conjecture,
( ~ hskp6
| c3_1(a1006) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
cnf(c_124,negated_conjecture,
( ~ hskp4
| c1_1(a1004) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
cnf(c_125,negated_conjecture,
( ~ hskp4
| c2_1(a1004) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
cnf(c_126,negated_conjecture,
( ~ hskp3
| c1_1(a1003) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
cnf(c_127,negated_conjecture,
( ~ hskp2
| c0_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
cnf(c_128,negated_conjecture,
( ~ hskp2
| c2_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
cnf(c_129,negated_conjecture,
( ~ hskp1
| c2_1(a1001) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
cnf(c_130,negated_conjecture,
( ~ hskp1
| c3_1(a1001) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
cnf(c_131,negated_conjecture,
( ~ hskp0
| c0_1(a1000) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
cnf(c_133,negated_conjecture,
( ~ c0_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
cnf(c_134,negated_conjecture,
( ~ c2_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
cnf(c_135,negated_conjecture,
( ~ c0_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
cnf(c_136,negated_conjecture,
( ~ c3_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
cnf(c_137,negated_conjecture,
( ~ c0_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
cnf(c_146,negated_conjecture,
( ~ c0_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
cnf(c_147,negated_conjecture,
( ~ c1_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
cnf(c_148,negated_conjecture,
( ~ c3_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
cnf(c_150,negated_conjecture,
( ~ c0_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
cnf(c_153,negated_conjecture,
( ~ c0_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
cnf(c_154,negated_conjecture,
( ~ c1_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
cnf(c_155,negated_conjecture,
( ~ c2_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
cnf(c_156,negated_conjecture,
( ~ c3_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
cnf(c_157,negated_conjecture,
( ~ c1_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
cnf(c_158,negated_conjecture,
( ~ c2_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
cnf(c_159,negated_conjecture,
( ~ c0_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
cnf(c_160,negated_conjecture,
( ~ c0_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
cnf(c_161,negated_conjecture,
( ~ c1_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
cnf(c_165,negated_conjecture,
( ~ c1_1(a1010)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
cnf(c_166,negated_conjecture,
( ~ c1_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
cnf(c_167,negated_conjecture,
( ~ c3_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
cnf(c_168,negated_conjecture,
( ~ c2_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
cnf(c_169,negated_conjecture,
( ~ c1_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
cnf(c_170,negated_conjecture,
( ~ c2_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
cnf(c_171,negated_conjecture,
( ~ c3_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
cnf(c_172,negated_conjecture,
( ~ c3_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
cnf(c_173,negated_conjecture,
( ~ c0_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
cnf(c_174,negated_conjecture,
( ~ c2_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
cnf(c_175,negated_conjecture,
( ~ c1_1(a1002)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
cnf(c_176,negated_conjecture,
( ~ c1_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
cnf(c_178,negated_conjecture,
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp1
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
cnf(c_180,negated_conjecture,
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c2_1(X0)
| hskp8
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
cnf(c_182,negated_conjecture,
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp2
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
cnf(c_187,negated_conjecture,
( ~ c0_1(X0)
| ~ ndr1_0
| c3_1(X0)
| c2_1(X0)
| hskp25
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
cnf(c_188,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp24
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
cnf(c_189,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp26
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
cnf(c_195,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
cnf(c_197,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp24
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
cnf(c_198,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp26
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
cnf(c_199,negated_conjecture,
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c2_1(X1)
| hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
cnf(c_200,negated_conjecture,
( ~ c0_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c2_1(X1)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
cnf(c_203,negated_conjecture,
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
cnf(c_204,negated_conjecture,
( ~ c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X1)
| c2_1(X0)
| c2_1(X1)
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
cnf(c_206,negated_conjecture,
( ~ c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
cnf(c_207,negated_conjecture,
( ~ c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
cnf(c_209,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| c2_1(X1)
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
cnf(c_212,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| c2_1(X0)
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
cnf(c_213,negated_conjecture,
( ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
cnf(c_215,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X0)
| c3_1(X1)
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
cnf(c_218,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
cnf(c_222,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
cnf(c_224,negated_conjecture,
( ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X1)
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
cnf(c_225,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X0)
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
cnf(c_226,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X0)
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
cnf(c_227,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c1_1(X0)
| c1_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
cnf(c_228,negated_conjecture,
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| c1_1(X2)
| c3_1(X0)
| c3_1(X1)
| c3_1(X2)
| c2_1(X1)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
cnf(c_229,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c2_1(X1)
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
cnf(c_230,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c3_1(X1)
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
cnf(c_231,negated_conjecture,
( ~ c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| c2_1(X0)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
cnf(c_232,negated_conjecture,
( ~ c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c3_1(X2)
| c2_1(X0)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
cnf(c_233,negated_conjecture,
( ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
cnf(c_234,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c3_1(X2)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
cnf(c_235,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
cnf(c_236,negated_conjecture,
( ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X2)
| c3_1(X1)
| c2_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
cnf(c_238,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X2)
| c3_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
cnf(c_239,negated_conjecture,
( ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ ndr1_0
| c0_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
cnf(c_240,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ ndr1_0
| c1_1(X1)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
cnf(c_251,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ c2_1(a1000)
| ~ ndr1_0
| hskp7 ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_260,plain,
( ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1000)
| ~ ndr1_0
| hskp24
| hskp3 ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_262,plain,
( ~ ndr1_0
| c0_1(a1000)
| c1_1(a1000)
| c3_1(a1000)
| c2_1(a1000)
| hskp2 ),
inference(instantiation,[status(thm)],[c_199]) ).
cnf(c_265,plain,
( ~ c0_1(a1000)
| ~ c2_1(a1000)
| ~ ndr1_0
| c1_1(a1000)
| c3_1(a1000)
| hskp19 ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_269,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_78,c_86,c_74,c_71,c_57]) ).
cnf(c_329,negated_conjecture,
( c0_1(X0)
| c1_1(X0)
| c2_1(X0)
| hskp1
| hskp0 ),
inference(global_subsumption_just,[status(thm)],[c_178,c_86,c_74,c_71,c_57,c_178]) ).
cnf(c_332,negated_conjecture,
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0)
| hskp25
| hskp3 ),
inference(global_subsumption_just,[status(thm)],[c_187,c_86,c_74,c_71,c_57,c_187]) ).
cnf(c_347,negated_conjecture,
( ~ c2_1(X0)
| c0_1(X0)
| c3_1(X0)
| hskp2
| hskp1 ),
inference(global_subsumption_just,[status(thm)],[c_182,c_86,c_74,c_71,c_57,c_182]) ).
cnf(c_353,negated_conjecture,
( ~ c1_1(X0)
| c0_1(X0)
| c2_1(X0)
| hskp8
| hskp7 ),
inference(global_subsumption_just,[status(thm)],[c_180,c_86,c_74,c_71,c_57,c_180]) ).
cnf(c_359,plain,
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| hskp7 ),
inference(global_subsumption_just,[status(thm)],[c_195,c_86,c_74,c_71,c_57,c_195]) ).
cnf(c_360,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| hskp7 ),
inference(renaming,[status(thm)],[c_359]) ).
cnf(c_361,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ c2_1(a1000)
| hskp7 ),
inference(instantiation,[status(thm)],[c_360]) ).
cnf(c_377,plain,
( ~ c1_1(X0)
| ~ c0_1(X0)
| c2_1(X0)
| hskp26
| hskp8 ),
inference(global_subsumption_just,[status(thm)],[c_189,c_86,c_74,c_71,c_57,c_189]) ).
cnf(c_378,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| hskp26
| hskp8 ),
inference(renaming,[status(thm)],[c_377]) ).
cnf(c_380,plain,
( ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0)
| hskp24
| hskp15 ),
inference(global_subsumption_just,[status(thm)],[c_188,c_86,c_74,c_71,c_57,c_188]) ).
cnf(c_381,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0)
| hskp24
| hskp15 ),
inference(renaming,[status(thm)],[c_380]) ).
cnf(c_383,plain,
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| hskp26
| hskp19 ),
inference(global_subsumption_just,[status(thm)],[c_198,c_86,c_74,c_71,c_57,c_198]) ).
cnf(c_384,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| hskp26
| hskp19 ),
inference(renaming,[status(thm)],[c_383]) ).
cnf(c_386,plain,
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| hskp24
| hskp3 ),
inference(global_subsumption_just,[status(thm)],[c_197,c_86,c_74,c_71,c_57,c_197]) ).
cnf(c_387,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| hskp24
| hskp3 ),
inference(renaming,[status(thm)],[c_386]) ).
cnf(c_392,negated_conjecture,
( c0_1(X0)
| c1_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c2_1(X1)
| hskp2 ),
inference(global_subsumption_just,[status(thm)],[c_199,c_86,c_74,c_71,c_57,c_199]) ).
cnf(c_397,negated_conjecture,
( ~ c0_1(X0)
| c1_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c2_1(X1)
| hskp13 ),
inference(global_subsumption_just,[status(thm)],[c_200,c_86,c_74,c_71,c_57,c_200]) ).
cnf(c_405,plain,
( ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| c2_1(X1)
| hskp12 ),
inference(global_subsumption_just,[status(thm)],[c_209,c_86,c_74,c_71,c_57,c_209]) ).
cnf(c_406,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| c2_1(X1)
| hskp12 ),
inference(renaming,[status(thm)],[c_405]) ).
cnf(c_409,plain,
( ~ c2_1(X1)
| ~ c1_1(X0)
| c0_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| hskp7 ),
inference(global_subsumption_just,[status(thm)],[c_207,c_86,c_74,c_71,c_57,c_207]) ).
cnf(c_410,negated_conjecture,
( ~ c1_1(X0)
| ~ c2_1(X1)
| c0_1(X0)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| hskp7 ),
inference(renaming,[status(thm)],[c_409]) ).
cnf(c_411,plain,
( ~ c2_1(X1)
| ~ c1_1(X0)
| c0_1(X0)
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| hskp8 ),
inference(global_subsumption_just,[status(thm)],[c_206,c_86,c_74,c_71,c_57,c_206]) ).
cnf(c_412,negated_conjecture,
( ~ c1_1(X0)
| ~ c2_1(X1)
| c0_1(X0)
| c1_1(X1)
| c3_1(X1)
| c2_1(X0)
| hskp8 ),
inference(renaming,[status(thm)],[c_411]) ).
cnf(c_415,plain,
( ~ c3_1(X1)
| ~ c1_1(X0)
| c0_1(X0)
| c1_1(X1)
| c2_1(X0)
| c2_1(X1)
| hskp7 ),
inference(global_subsumption_just,[status(thm)],[c_204,c_86,c_74,c_71,c_57,c_204]) ).
cnf(c_416,negated_conjecture,
( ~ c1_1(X0)
| ~ c3_1(X1)
| c0_1(X0)
| c1_1(X1)
| c2_1(X0)
| c2_1(X1)
| hskp7 ),
inference(renaming,[status(thm)],[c_415]) ).
cnf(c_417,plain,
( ~ c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp6 ),
inference(global_subsumption_just,[status(thm)],[c_203,c_86,c_74,c_71,c_57,c_203]) ).
cnf(c_418,negated_conjecture,
( ~ c3_1(X0)
| ~ c2_1(X0)
| c0_1(X0)
| c0_1(X1)
| c3_1(X1)
| c2_1(X1)
| hskp6 ),
inference(renaming,[status(thm)],[c_417]) ).
cnf(c_427,plain,
( ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp19 ),
inference(global_subsumption_just,[status(thm)],[c_218,c_86,c_74,c_71,c_57,c_218]) ).
cnf(c_428,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| c1_1(X0)
| c1_1(X1)
| c3_1(X1)
| hskp19 ),
inference(renaming,[status(thm)],[c_427]) ).
cnf(c_434,plain,
( ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| c0_1(X1)
| c1_1(X0)
| c3_1(X1)
| hskp11 ),
inference(global_subsumption_just,[status(thm)],[c_215,c_86,c_74,c_71,c_57,c_215]) ).
cnf(c_435,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| c3_1(X1)
| hskp11 ),
inference(renaming,[status(thm)],[c_434]) ).
cnf(c_438,plain,
( ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp0 ),
inference(global_subsumption_just,[status(thm)],[c_213,c_86,c_74,c_71,c_57,c_213]) ).
cnf(c_439,negated_conjecture,
( ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| c0_1(X0)
| c0_1(X1)
| c2_1(X1)
| hskp0 ),
inference(renaming,[status(thm)],[c_438]) ).
cnf(c_440,plain,
( ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| c2_1(X0)
| hskp4 ),
inference(global_subsumption_just,[status(thm)],[c_212,c_86,c_74,c_71,c_57,c_212]) ).
cnf(c_441,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| c0_1(X1)
| c1_1(X1)
| c2_1(X0)
| hskp4 ),
inference(renaming,[status(thm)],[c_440]) ).
cnf(c_442,plain,
( ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| c1_1(X0)
| c1_1(X1)
| hskp6 ),
inference(global_subsumption_just,[status(thm)],[c_227,c_86,c_74,c_71,c_57,c_227]) ).
cnf(c_443,negated_conjecture,
( ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| c1_1(X0)
| c1_1(X1)
| hskp6 ),
inference(renaming,[status(thm)],[c_442]) ).
cnf(c_445,plain,
( ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0)
| c0_1(X1)
| c1_1(X0)
| hskp15 ),
inference(global_subsumption_just,[status(thm)],[c_226,c_86,c_74,c_71,c_57,c_226]) ).
cnf(c_446,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| c0_1(X1)
| c1_1(X0)
| hskp15 ),
inference(renaming,[status(thm)],[c_445]) ).
cnf(c_447,plain,
( ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0)
| c0_1(X1)
| c2_1(X0)
| hskp14 ),
inference(global_subsumption_just,[status(thm)],[c_225,c_86,c_74,c_71,c_57,c_225]) ).
cnf(c_448,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| hskp14 ),
inference(renaming,[status(thm)],[c_447]) ).
cnf(c_449,plain,
( ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| c0_1(X0)
| c1_1(X1)
| hskp8 ),
inference(global_subsumption_just,[status(thm)],[c_224,c_86,c_74,c_71,c_57,c_224]) ).
cnf(c_450,negated_conjecture,
( ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| c0_1(X0)
| c1_1(X1)
| hskp8 ),
inference(renaming,[status(thm)],[c_449]) ).
cnf(c_453,plain,
( ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp5 ),
inference(global_subsumption_just,[status(thm)],[c_222,c_86,c_74,c_71,c_57,c_222]) ).
cnf(c_454,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp5 ),
inference(renaming,[status(thm)],[c_453]) ).
cnf(c_455,plain,
( ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c3_1(X1)
| hskp17 ),
inference(global_subsumption_just,[status(thm)],[c_230,c_86,c_74,c_71,c_57,c_230]) ).
cnf(c_456,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| c3_1(X1)
| hskp17 ),
inference(renaming,[status(thm)],[c_455]) ).
cnf(c_458,plain,
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c2_1(X1)
| hskp6 ),
inference(global_subsumption_just,[status(thm)],[c_229,c_86,c_74,c_71,c_57,c_229]) ).
cnf(c_459,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c2_1(X1)
| hskp6 ),
inference(renaming,[status(thm)],[c_458]) ).
cnf(c_460,negated_conjecture,
( ~ c1_1(X0)
| c0_1(X0)
| c0_1(X1)
| c1_1(X2)
| c3_1(X0)
| c3_1(X1)
| c3_1(X2)
| c2_1(X1)
| c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_228,c_86,c_74,c_71,c_57,c_228]) ).
cnf(c_462,plain,
( ~ c2_1(X1)
| ~ c0_1(X0)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c3_1(X2)
| c2_1(X0)
| c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_232,c_86,c_74,c_71,c_57,c_232]) ).
cnf(c_463,negated_conjecture,
( ~ c0_1(X0)
| ~ c2_1(X1)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c3_1(X1)
| c3_1(X2)
| c2_1(X0)
| c2_1(X2) ),
inference(renaming,[status(thm)],[c_462]) ).
cnf(c_464,plain,
( ~ c2_1(X1)
| ~ c3_1(X0)
| c0_1(X0)
| c0_1(X1)
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| c2_1(X0)
| c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_231,c_86,c_74,c_71,c_57,c_231]) ).
cnf(c_465,negated_conjecture,
( ~ c3_1(X0)
| ~ c2_1(X1)
| c0_1(X0)
| c0_1(X1)
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| c2_1(X0)
| c2_1(X2) ),
inference(renaming,[status(thm)],[c_464]) ).
cnf(c_466,plain,
( ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_233,c_86,c_74,c_71,c_57,c_233]) ).
cnf(c_467,negated_conjecture,
( ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| c0_1(X0)
| c0_1(X1)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2)
| c2_1(X0) ),
inference(renaming,[status(thm)],[c_466]) ).
cnf(c_468,plain,
( ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c3_1(X2)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_234,c_86,c_74,c_71,c_57,c_234]) ).
cnf(c_469,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c3_1(X2)
| c2_1(X0) ),
inference(renaming,[status(thm)],[c_468]) ).
cnf(c_472,plain,
( ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| c0_1(X1)
| c1_1(X2)
| c3_1(X1)
| c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_236,c_86,c_74,c_71,c_57,c_236]) ).
cnf(c_473,negated_conjecture,
( ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X0)
| c0_1(X1)
| c1_1(X2)
| c3_1(X1)
| c2_1(X2) ),
inference(renaming,[status(thm)],[c_472]) ).
cnf(c_474,plain,
( ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_235,c_86,c_74,c_71,c_57,c_235]) ).
cnf(c_475,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c1_1(X2)
| c2_1(X0) ),
inference(renaming,[status(thm)],[c_474]) ).
cnf(c_476,plain,
( ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0)
| c1_1(X2)
| c3_1(X1)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_238,c_238,c_269]) ).
cnf(c_477,negated_conjecture,
( ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X0) ),
inference(renaming,[status(thm)],[c_476]) ).
cnf(c_478,plain,
( ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0)
| c1_1(X1)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_240,c_86,c_74,c_71,c_57,c_240]) ).
cnf(c_479,negated_conjecture,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| c1_1(X1)
| c2_1(X0) ),
inference(renaming,[status(thm)],[c_478]) ).
cnf(c_480,plain,
( ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| c0_1(X1)
| c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_239,c_86,c_74,c_71,c_57,c_239]) ).
cnf(c_481,negated_conjecture,
( ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2)
| c0_1(X1)
| c0_1(X2) ),
inference(renaming,[status(thm)],[c_480]) ).
cnf(c_482,plain,
( ~ c1_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1000)
| c0_1(a1000) ),
inference(instantiation,[status(thm)],[c_481]) ).
cnf(c_1890,plain,
( ~ c0_1(X0)
| ~ c3_1(a1048)
| c3_1(X0)
| c2_1(X0)
| hskp3 ),
inference(resolution,[status(thm)],[c_332,c_136]) ).
cnf(c_1891,plain,
( ~ c0_1(a1000)
| ~ c3_1(a1048)
| c3_1(a1000)
| c2_1(a1000)
| hskp3 ),
inference(instantiation,[status(thm)],[c_1890]) ).
cnf(c_1907,plain,
( ~ c0_1(X0)
| ~ c0_1(a1048)
| c3_1(X0)
| c2_1(X0)
| hskp3 ),
inference(resolution,[status(thm)],[c_332,c_135]) ).
cnf(c_1908,plain,
( ~ c0_1(a1048)
| ~ c0_1(a1000)
| c3_1(a1000)
| c2_1(a1000)
| hskp3 ),
inference(instantiation,[status(thm)],[c_1907]) ).
cnf(c_1924,plain,
( ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0)
| c1_1(a1048)
| hskp3 ),
inference(resolution,[status(thm)],[c_332,c_98]) ).
cnf(c_1925,plain,
( ~ c0_1(a1000)
| c1_1(a1048)
| c3_1(a1000)
| c2_1(a1000)
| hskp3 ),
inference(instantiation,[status(thm)],[c_1924]) ).
cnf(c_1941,plain,
( ~ c3_1(a1048)
| hskp24
| hskp19 ),
inference(resolution,[status(thm)],[c_87,c_136]) ).
cnf(c_1951,plain,
( ~ c0_1(a1048)
| hskp24
| hskp19 ),
inference(resolution,[status(thm)],[c_87,c_135]) ).
cnf(c_1961,plain,
( c1_1(a1048)
| hskp24
| hskp19 ),
inference(resolution,[status(thm)],[c_87,c_98]) ).
cnf(c_3065,plain,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(a1045)
| hskp3 ),
inference(resolution,[status(thm)],[c_387,c_137]) ).
cnf(c_3066,plain,
( ~ c0_1(a1045)
| ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1000)
| hskp3 ),
inference(instantiation,[status(thm)],[c_3065]) ).
cnf(c_3082,plain,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c3_1(a1045)
| hskp3 ),
inference(resolution,[status(thm)],[c_387,c_100]) ).
cnf(c_3083,plain,
( ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1000)
| c3_1(a1045)
| hskp3 ),
inference(instantiation,[status(thm)],[c_3082]) ).
cnf(c_3099,plain,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(a1045)
| hskp3 ),
inference(resolution,[status(thm)],[c_387,c_99]) ).
cnf(c_3100,plain,
( ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1000)
| c1_1(a1045)
| hskp3 ),
inference(instantiation,[status(thm)],[c_3099]) ).
cnf(c_3452,plain,
( c3_1(a1040)
| hskp26
| hskp3 ),
inference(resolution,[status(thm)],[c_81,c_90]) ).
cnf(c_3462,plain,
( c1_1(a1040)
| hskp26
| hskp3 ),
inference(resolution,[status(thm)],[c_81,c_89]) ).
cnf(c_3472,plain,
( c0_1(a1040)
| hskp26
| hskp3 ),
inference(resolution,[status(thm)],[c_81,c_88]) ).
cnf(c_3584,plain,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(a1032)
| c3_1(X1) ),
inference(resolution,[status(thm)],[c_456,c_150]) ).
cnf(c_3585,plain,
( ~ c0_1(a1032)
| ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ c2_1(a1000)
| c3_1(a1000) ),
inference(instantiation,[status(thm)],[c_3584]) ).
cnf(c_3607,plain,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| c3_1(X1)
| c3_1(a1032) ),
inference(resolution,[status(thm)],[c_456,c_108]) ).
cnf(c_3608,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ c2_1(a1000)
| c3_1(a1032)
| c3_1(a1000) ),
inference(instantiation,[status(thm)],[c_3607]) ).
cnf(c_3630,plain,
( ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| c3_1(X1)
| c2_1(a1032) ),
inference(resolution,[status(thm)],[c_456,c_107]) ).
cnf(c_3631,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ c2_1(a1000)
| c3_1(a1000)
| c2_1(a1032) ),
inference(instantiation,[status(thm)],[c_3630]) ).
cnf(c_6185,plain,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(a1003)
| hskp24 ),
inference(resolution,[status(thm)],[c_387,c_174]) ).
cnf(c_6186,plain,
( ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1003)
| ~ c2_1(a1000)
| hskp24 ),
inference(instantiation,[status(thm)],[c_6185]) ).
cnf(c_6202,plain,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(a1003)
| hskp24 ),
inference(resolution,[status(thm)],[c_387,c_173]) ).
cnf(c_6203,plain,
( ~ c0_1(a1003)
| ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1000)
| hskp24 ),
inference(instantiation,[status(thm)],[c_6202]) ).
cnf(c_6219,plain,
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c1_1(a1003)
| hskp24 ),
inference(resolution,[status(thm)],[c_387,c_126]) ).
cnf(c_6220,plain,
( ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ c2_1(a1000)
| c1_1(a1003)
| hskp24 ),
inference(instantiation,[status(thm)],[c_6219]) ).
cnf(c_7292,plain,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(a1008) ),
inference(resolution,[status(thm)],[c_360,c_167]) ).
cnf(c_7293,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ c3_1(a1008)
| ~ c2_1(a1000) ),
inference(instantiation,[status(thm)],[c_7292]) ).
cnf(c_7306,plain,
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c1_1(a1008) ),
inference(resolution,[status(thm)],[c_360,c_166]) ).
cnf(c_7307,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1008)
| ~ c1_1(a1000)
| ~ c2_1(a1000) ),
inference(instantiation,[status(thm)],[c_7306]) ).
cnf(c_15618,negated_conjecture,
( ~ c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0)
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_481]) ).
cnf(c_15619,negated_conjecture,
( ~ c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0)
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_481]) ).
cnf(c_15620,negated_conjecture,
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_481]) ).
cnf(c_15621,negated_conjecture,
( sP0_iProver_split
| sP1_iProver_split
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).
cnf(c_15622,negated_conjecture,
( ~ c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0)
| ~ sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_479]) ).
cnf(c_15623,negated_conjecture,
( c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_479]) ).
cnf(c_15625,negated_conjecture,
( ~ c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0)
| ~ sP5_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_477]) ).
cnf(c_15626,negated_conjecture,
( ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0)
| ~ sP6_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_477]) ).
cnf(c_15627,negated_conjecture,
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ sP7_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_477]) ).
cnf(c_15628,negated_conjecture,
( sP5_iProver_split
| sP6_iProver_split
| sP7_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).
cnf(c_15629,negated_conjecture,
( ~ c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0)
| ~ sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_475]) ).
cnf(c_15630,negated_conjecture,
( ~ c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ sP9_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_475]) ).
cnf(c_15632,negated_conjecture,
( c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0)
| ~ sP10_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_473]) ).
cnf(c_15633,negated_conjecture,
( c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0)
| ~ sP11_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_473]) ).
cnf(c_15637,negated_conjecture,
( ~ c2_1(X0)
| c3_1(X0)
| c0_1(X0)
| ~ sP13_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_469]) ).
cnf(c_15638,negated_conjecture,
( c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0)
| ~ sP14_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_469]) ).
cnf(c_15639,negated_conjecture,
( sP8_iProver_split
| sP13_iProver_split
| sP14_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).
cnf(c_15640,negated_conjecture,
( ~ c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ sP15_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_467]) ).
cnf(c_15641,negated_conjecture,
( ~ c2_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ sP16_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_467]) ).
cnf(c_15642,negated_conjecture,
( c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0)
| ~ sP17_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_467]) ).
cnf(c_15643,negated_conjecture,
( sP15_iProver_split
| sP16_iProver_split
| sP17_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).
cnf(c_15644,negated_conjecture,
( c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ sP18_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_465]) ).
cnf(c_15645,negated_conjecture,
( sP9_iProver_split
| sP17_iProver_split
| sP18_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).
cnf(c_15646,negated_conjecture,
( c2_1(X0)
| c3_1(X0)
| c0_1(X0)
| ~ sP19_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_463]) ).
cnf(c_15648,negated_conjecture,
( c2_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ sP20_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_460]) ).
cnf(c_15649,negated_conjecture,
( sP10_iProver_split
| sP19_iProver_split
| sP20_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).
cnf(c_15650,negated_conjecture,
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ sP21_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_459]) ).
cnf(c_15652,negated_conjecture,
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0)
| ~ sP22_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_456]) ).
cnf(c_15654,negated_conjecture,
( hskp5
| sP15_iProver_split
| sP22_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).
cnf(c_15656,negated_conjecture,
( ~ c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0)
| ~ sP23_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_450]) ).
cnf(c_15657,negated_conjecture,
( hskp8
| sP5_iProver_split
| sP23_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).
cnf(c_15658,negated_conjecture,
( hskp14
| sP7_iProver_split
| sP23_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).
cnf(c_15659,negated_conjecture,
( hskp15
| sP0_iProver_split
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).
cnf(c_15660,negated_conjecture,
( hskp6
| sP5_iProver_split
| sP8_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_443]) ).
cnf(c_15661,negated_conjecture,
( hskp4
| sP7_iProver_split
| sP9_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_441]) ).
cnf(c_15662,negated_conjecture,
( c2_1(X0)
| ~ c1_1(X0)
| c0_1(X0)
| ~ sP24_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP24_iProver_split])],[c_439]) ).
cnf(c_15665,negated_conjecture,
( hskp11
| sP3_iProver_split
| sP13_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).
cnf(c_15669,negated_conjecture,
( c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0)
| ~ sP26_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_428]) ).
cnf(c_15670,negated_conjecture,
( hskp19
| sP8_iProver_split
| sP26_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).
cnf(c_15675,negated_conjecture,
( hskp6
| sP1_iProver_split
| sP19_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).
cnf(c_15676,negated_conjecture,
( hskp7
| sP11_iProver_split
| sP24_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).
cnf(c_15678,negated_conjecture,
( hskp8
| sP16_iProver_split
| sP24_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_412]) ).
cnf(c_15679,negated_conjecture,
( hskp7
| sP10_iProver_split
| sP16_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).
cnf(c_15681,negated_conjecture,
( hskp12
| sP7_iProver_split
| sP20_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).
cnf(c_15685,negated_conjecture,
( hskp13
| sP20_iProver_split
| sP26_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).
cnf(c_15687,negated_conjecture,
( c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ sP28_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_392]) ).
cnf(c_15688,negated_conjecture,
( hskp2
| sP20_iProver_split
| sP28_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_392]) ).
cnf(c_15690,negated_conjecture,
( hskp24
| hskp3
| sP21_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).
cnf(c_15691,negated_conjecture,
( hskp26
| hskp19
| sP21_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_384]) ).
cnf(c_15692,negated_conjecture,
( hskp24
| hskp15
| sP3_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_381]) ).
cnf(c_15693,negated_conjecture,
( hskp26
| hskp8
| sP4_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_378]) ).
cnf(c_15701,negated_conjecture,
( hskp8
| hskp7
| sP24_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).
cnf(c_15703,negated_conjecture,
( hskp2
| hskp1
| sP13_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).
cnf(c_15708,negated_conjecture,
( hskp1
| hskp0
| sP18_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_329]) ).
cnf(c_15712,plain,
( ~ sP28_iProver_split
| c0_1(a1000)
| c1_1(a1000)
| c3_1(a1000) ),
inference(instantiation,[status(thm)],[c_15687]) ).
cnf(c_15717,plain,
( ~ c0_1(a1000)
| ~ sP14_iProver_split
| c3_1(a1000)
| c2_1(a1000) ),
inference(instantiation,[status(thm)],[c_15638]) ).
cnf(c_15719,plain,
( ~ c2_1(a1000)
| ~ sP16_iProver_split
| c1_1(a1000)
| c3_1(a1000) ),
inference(instantiation,[status(thm)],[c_15641]) ).
cnf(c_15720,plain,
( ~ c3_1(a1000)
| ~ sP17_iProver_split
| c0_1(a1000)
| c2_1(a1000) ),
inference(instantiation,[status(thm)],[c_15642]) ).
cnf(c_15721,plain,
( ~ c1_1(a1000)
| ~ sP24_iProver_split
| c0_1(a1000)
| c2_1(a1000) ),
inference(instantiation,[status(thm)],[c_15662]) ).
cnf(c_15723,plain,
( ~ c0_1(a1000)
| ~ sP26_iProver_split
| c1_1(a1000)
| c3_1(a1000) ),
inference(instantiation,[status(thm)],[c_15669]) ).
cnf(c_15725,plain,
( ~ c3_1(a1000)
| ~ c2_1(a1000)
| ~ sP1_iProver_split
| c0_1(a1000) ),
inference(instantiation,[status(thm)],[c_15619]) ).
cnf(c_15728,plain,
( ~ c3_1(a1000)
| ~ c2_1(a1000)
| ~ sP5_iProver_split
| c1_1(a1000) ),
inference(instantiation,[status(thm)],[c_15625]) ).
cnf(c_15729,plain,
( ~ c1_1(a1000)
| ~ c2_1(a1000)
| ~ sP6_iProver_split
| c3_1(a1000) ),
inference(instantiation,[status(thm)],[c_15626]) ).
cnf(c_15730,plain,
( ~ c0_1(a1000)
| ~ c3_1(a1000)
| ~ sP7_iProver_split
| c2_1(a1000) ),
inference(instantiation,[status(thm)],[c_15627]) ).
cnf(c_15733,plain,
( ~ c1_1(a1000)
| ~ c2_1(a1000)
| ~ sP23_iProver_split
| c0_1(a1000) ),
inference(instantiation,[status(thm)],[c_15656]) ).
cnf(c_15738,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ c2_1(a1000)
| ~ sP22_iProver_split ),
inference(instantiation,[status(thm)],[c_15652]) ).
cnf(c_15741,plain,
( ~ c1_1(a1019)
| ~ c3_1(a1019)
| ~ c2_1(a1019)
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_15620]) ).
cnf(c_15745,plain,
( ~ c3_1(a1032)
| ~ c2_1(a1032)
| ~ sP5_iProver_split
| c1_1(a1032) ),
inference(instantiation,[status(thm)],[c_15625]) ).
cnf(c_15747,plain,
( ~ c3_1(a1015)
| ~ c2_1(a1015)
| ~ sP5_iProver_split
| c1_1(a1015) ),
inference(instantiation,[status(thm)],[c_15625]) ).
cnf(c_15748,plain,
( ~ c3_1(a1010)
| ~ c2_1(a1010)
| ~ sP5_iProver_split
| c1_1(a1010) ),
inference(instantiation,[status(thm)],[c_15625]) ).
cnf(c_15750,plain,
( ~ c3_1(a1001)
| ~ c2_1(a1001)
| ~ sP5_iProver_split
| c1_1(a1001) ),
inference(instantiation,[status(thm)],[c_15625]) ).
cnf(c_15754,plain,
( ~ c2_1(a1026)
| ~ sP9_iProver_split
| c0_1(a1026)
| c1_1(a1026) ),
inference(instantiation,[status(thm)],[c_15630]) ).
cnf(c_15756,plain,
( ~ c2_1(a1008)
| ~ sP9_iProver_split
| c0_1(a1008)
| c1_1(a1008) ),
inference(instantiation,[status(thm)],[c_15630]) ).
cnf(c_15758,plain,
( ~ c2_1(a1001)
| ~ sP9_iProver_split
| c0_1(a1001)
| c1_1(a1001) ),
inference(instantiation,[status(thm)],[c_15630]) ).
cnf(c_15761,plain,
( ~ c1_1(a1019)
| ~ sP10_iProver_split
| c0_1(a1019)
| c3_1(a1019) ),
inference(instantiation,[status(thm)],[c_15632]) ).
cnf(c_15767,plain,
( ~ c0_1(a1025)
| ~ sP14_iProver_split
| c3_1(a1025)
| c2_1(a1025) ),
inference(instantiation,[status(thm)],[c_15638]) ).
cnf(c_15774,plain,
( ~ c3_1(a1032)
| ~ sP15_iProver_split
| c0_1(a1032)
| c1_1(a1032) ),
inference(instantiation,[status(thm)],[c_15640]) ).
cnf(c_15775,plain,
( ~ c3_1(a1023)
| ~ sP15_iProver_split
| c0_1(a1023)
| c1_1(a1023) ),
inference(instantiation,[status(thm)],[c_15640]) ).
cnf(c_15784,plain,
( ~ c1_1(a1003)
| ~ sP24_iProver_split
| c0_1(a1003)
| c2_1(a1003) ),
inference(instantiation,[status(thm)],[c_15662]) ).
cnf(c_15787,plain,
( ~ c0_1(a1023)
| ~ c3_1(a1023)
| ~ sP7_iProver_split
| c2_1(a1023) ),
inference(instantiation,[status(thm)],[c_15627]) ).
cnf(c_15789,plain,
( ~ c0_1(a1010)
| ~ c3_1(a1010)
| ~ sP7_iProver_split
| c2_1(a1010) ),
inference(instantiation,[status(thm)],[c_15627]) ).
cnf(c_15790,plain,
( ~ c0_1(a1006)
| ~ c3_1(a1006)
| ~ sP7_iProver_split
| c2_1(a1006) ),
inference(instantiation,[status(thm)],[c_15627]) ).
cnf(c_15803,plain,
( ~ c3_1(a1023)
| ~ sP17_iProver_split
| c0_1(a1023)
| c2_1(a1023) ),
inference(instantiation,[status(thm)],[c_15642]) ).
cnf(c_15804,plain,
( ~ c3_1(a1015)
| ~ sP17_iProver_split
| c0_1(a1015)
| c2_1(a1015) ),
inference(instantiation,[status(thm)],[c_15642]) ).
cnf(c_15811,plain,
( ~ c0_1(a1040)
| ~ c1_1(a1040)
| ~ sP4_iProver_split
| c2_1(a1040) ),
inference(instantiation,[status(thm)],[c_15623]) ).
cnf(c_15824,plain,
( ~ c1_1(a1045)
| ~ sP24_iProver_split
| c0_1(a1045)
| c2_1(a1045) ),
inference(instantiation,[status(thm)],[c_15662]) ).
cnf(c_15826,plain,
( ~ c1_1(a1045)
| ~ c3_1(a1045)
| ~ c2_1(a1045)
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_15620]) ).
cnf(c_15827,plain,
( ~ c3_1(a1045)
| ~ sP17_iProver_split
| c0_1(a1045)
| c2_1(a1045) ),
inference(instantiation,[status(thm)],[c_15642]) ).
cnf(c_15834,plain,
( ~ c1_1(a1048)
| ~ sP24_iProver_split
| c0_1(a1048)
| c2_1(a1048) ),
inference(instantiation,[status(thm)],[c_15662]) ).
cnf(c_15835,plain,
( ~ c1_1(a1048)
| ~ sP10_iProver_split
| c0_1(a1048)
| c3_1(a1048) ),
inference(instantiation,[status(thm)],[c_15632]) ).
cnf(c_15840,plain,
( ~ c2_1(a1026)
| ~ sP13_iProver_split
| c0_1(a1026)
| c3_1(a1026) ),
inference(instantiation,[status(thm)],[c_15637]) ).
cnf(c_15842,plain,
( ~ c2_1(a1008)
| ~ sP13_iProver_split
| c0_1(a1008)
| c3_1(a1008) ),
inference(instantiation,[status(thm)],[c_15637]) ).
cnf(c_15848,plain,
( ~ c2_1(a1026)
| ~ sP16_iProver_split
| c1_1(a1026)
| c3_1(a1026) ),
inference(instantiation,[status(thm)],[c_15641]) ).
cnf(c_15850,plain,
( ~ c2_1(a1008)
| ~ sP16_iProver_split
| c1_1(a1008)
| c3_1(a1008) ),
inference(instantiation,[status(thm)],[c_15641]) ).
cnf(c_15863,plain,
( ~ sP20_iProver_split
| c1_1(a1037)
| c3_1(a1037)
| c2_1(a1037) ),
inference(instantiation,[status(thm)],[c_15648]) ).
cnf(c_15868,plain,
( ~ sP20_iProver_split
| c1_1(a1005)
| c3_1(a1005)
| c2_1(a1005) ),
inference(instantiation,[status(thm)],[c_15648]) ).
cnf(c_15875,plain,
( ~ c3_1(a1002)
| ~ c2_1(a1002)
| ~ sP5_iProver_split
| c1_1(a1002) ),
inference(instantiation,[status(thm)],[c_15625]) ).
cnf(c_15884,plain,
( ~ c0_1(a1010)
| ~ c3_1(a1010)
| ~ sP3_iProver_split
| c1_1(a1010) ),
inference(instantiation,[status(thm)],[c_15622]) ).
cnf(c_15890,plain,
( ~ c1_1(a1045)
| ~ c3_1(a1045)
| ~ sP0_iProver_split
| c0_1(a1045) ),
inference(instantiation,[status(thm)],[c_15618]) ).
cnf(c_15894,plain,
( ~ c1_1(a1032)
| ~ c3_1(a1032)
| ~ sP0_iProver_split
| c0_1(a1032) ),
inference(instantiation,[status(thm)],[c_15618]) ).
cnf(c_15916,plain,
( ~ sP18_iProver_split
| c0_1(a1037)
| c1_1(a1037)
| c2_1(a1037) ),
inference(instantiation,[status(thm)],[c_15644]) ).
cnf(c_15919,plain,
( ~ sP18_iProver_split
| c0_1(a1015)
| c1_1(a1015)
| c2_1(a1015) ),
inference(instantiation,[status(thm)],[c_15644]) ).
cnf(c_15935,plain,
( ~ c3_1(a1010)
| ~ sP11_iProver_split
| c1_1(a1010)
| c2_1(a1010) ),
inference(instantiation,[status(thm)],[c_15633]) ).
cnf(c_15959,plain,
( ~ c2_1(a1048)
| ~ sP13_iProver_split
| c0_1(a1048)
| c3_1(a1048) ),
inference(instantiation,[status(thm)],[c_15637]) ).
cnf(c_15968,plain,
( ~ c0_1(a1010)
| ~ c2_1(a1010)
| ~ sP8_iProver_split
| c1_1(a1010) ),
inference(instantiation,[status(thm)],[c_15629]) ).
cnf(c_15969,plain,
( ~ c0_1(a1008)
| ~ c2_1(a1008)
| ~ sP8_iProver_split
| c1_1(a1008) ),
inference(instantiation,[status(thm)],[c_15629]) ).
cnf(c_15971,plain,
( ~ c0_1(a1002)
| ~ c2_1(a1002)
| ~ sP8_iProver_split
| c1_1(a1002) ),
inference(instantiation,[status(thm)],[c_15629]) ).
cnf(c_15973,plain,
( ~ sP19_iProver_split
| c0_1(a1048)
| c3_1(a1048)
| c2_1(a1048) ),
inference(instantiation,[status(thm)],[c_15646]) ).
cnf(c_15977,plain,
( ~ sP19_iProver_split
| c0_1(a1037)
| c3_1(a1037)
| c2_1(a1037) ),
inference(instantiation,[status(thm)],[c_15646]) ).
cnf(c_15982,plain,
( ~ c3_1(a1026)
| ~ c2_1(a1026)
| ~ sP5_iProver_split
| c1_1(a1026) ),
inference(instantiation,[status(thm)],[c_15625]) ).
cnf(c_15993,plain,
( ~ c1_1(a1019)
| ~ c3_1(a1019)
| ~ sP0_iProver_split
| c0_1(a1019) ),
inference(instantiation,[status(thm)],[c_15618]) ).
cnf(c_15995,plain,
( ~ c1_1(a1052)
| ~ sP24_iProver_split
| c0_1(a1052)
| c2_1(a1052) ),
inference(instantiation,[status(thm)],[c_15662]) ).
cnf(c_15996,plain,
( ~ sP18_iProver_split
| c0_1(a1052)
| c1_1(a1052)
| c2_1(a1052) ),
inference(instantiation,[status(thm)],[c_15644]) ).
cnf(c_15997,plain,
( ~ c3_1(a1052)
| ~ sP17_iProver_split
| c0_1(a1052)
| c2_1(a1052) ),
inference(instantiation,[status(thm)],[c_15642]) ).
cnf(c_16004,plain,
( ~ c2_1(a1037)
| ~ sP9_iProver_split
| c0_1(a1037)
| c1_1(a1037) ),
inference(instantiation,[status(thm)],[c_15630]) ).
cnf(c_16028,plain,
( ~ c3_1(a1052)
| ~ sP15_iProver_split
| c0_1(a1052)
| c1_1(a1052) ),
inference(instantiation,[status(thm)],[c_15640]) ).
cnf(c_16038,plain,
( ~ c1_1(a1048)
| ~ c2_1(a1048)
| ~ sP23_iProver_split
| c0_1(a1048) ),
inference(instantiation,[status(thm)],[c_15656]) ).
cnf(c_16066,plain,
( ~ c3_1(a1045)
| ~ c2_1(a1045)
| ~ sP1_iProver_split
| c0_1(a1045) ),
inference(instantiation,[status(thm)],[c_15619]) ).
cnf(c_16070,plain,
( ~ c3_1(a1032)
| ~ c2_1(a1032)
| ~ sP1_iProver_split
| c0_1(a1032) ),
inference(instantiation,[status(thm)],[c_15619]) ).
cnf(c_16072,plain,
( ~ c3_1(a1019)
| ~ c2_1(a1019)
| ~ sP1_iProver_split
| c0_1(a1019) ),
inference(instantiation,[status(thm)],[c_15619]) ).
cnf(c_16105,plain,
( ~ c0_1(a1040)
| ~ c3_1(a1040)
| ~ c2_1(a1040)
| ~ sP21_iProver_split ),
inference(instantiation,[status(thm)],[c_15650]) ).
cnf(c_16107,plain,
( ~ c0_1(a1010)
| ~ c3_1(a1010)
| ~ c2_1(a1010)
| ~ sP21_iProver_split ),
inference(instantiation,[status(thm)],[c_15650]) ).
cnf(c_16173,plain,
( ~ c0_1(a1008)
| ~ sP26_iProver_split
| c1_1(a1008)
| c3_1(a1008) ),
inference(instantiation,[status(thm)],[c_15669]) ).
cnf(c_16175,plain,
( ~ c0_1(a1002)
| ~ sP26_iProver_split
| c1_1(a1002)
| c3_1(a1002) ),
inference(instantiation,[status(thm)],[c_15669]) ).
cnf(c_16214,plain,
( ~ c1_1(a1032)
| ~ c3_1(a1032)
| ~ c2_1(a1032)
| ~ sP2_iProver_split ),
inference(instantiation,[status(thm)],[c_15620]) ).
cnf(c_16232,plain,
( ~ c0_1(a1001)
| ~ c2_1(a1001)
| ~ sP8_iProver_split
| c1_1(a1001) ),
inference(instantiation,[status(thm)],[c_15629]) ).
cnf(c_16283,plain,
( ~ sP28_iProver_split
| c0_1(a1026)
| c1_1(a1026)
| c3_1(a1026) ),
inference(instantiation,[status(thm)],[c_15687]) ).
cnf(c_16288,plain,
( ~ sP28_iProver_split
| c0_1(a1008)
| c1_1(a1008)
| c3_1(a1008) ),
inference(instantiation,[status(thm)],[c_15687]) ).
cnf(c_16310,plain,
( ~ c1_1(a1048)
| ~ c2_1(a1048)
| ~ sP6_iProver_split
| c3_1(a1048) ),
inference(instantiation,[status(thm)],[c_15626]) ).
cnf(c_16318,plain,
( ~ c1_1(a1004)
| ~ c2_1(a1004)
| ~ sP6_iProver_split
| c3_1(a1004) ),
inference(instantiation,[status(thm)],[c_15626]) ).
cnf(c_16401,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16318,c_16310,c_16288,c_16283,c_16232,c_16214,c_16175,c_16173,c_16107,c_16105,c_16072,c_16070,c_16066,c_16038,c_16028,c_16004,c_15995,c_15996,c_15997,c_15993,c_15982,c_15977,c_15973,c_15971,c_15969,c_15968,c_15959,c_15935,c_15919,c_15916,c_15894,c_15890,c_15884,c_15875,c_15868,c_15863,c_15850,c_15848,c_15842,c_15840,c_15834,c_15835,c_15827,c_15824,c_15826,c_15811,c_15804,c_15803,c_15790,c_15789,c_15787,c_15784,c_15775,c_15774,c_15767,c_15761,c_15758,c_15756,c_15754,c_15750,c_15748,c_15747,c_15745,c_15741,c_15738,c_15733,c_15730,c_15729,c_15728,c_15725,c_15723,c_15721,c_15720,c_15719,c_15717,c_15712,c_15708,c_15703,c_15701,c_15693,c_15692,c_15691,c_15690,c_15688,c_15685,c_15681,c_15679,c_15678,c_15676,c_15675,c_15670,c_15665,c_15661,c_15660,c_15659,c_15658,c_15657,c_15654,c_15649,c_15645,c_15643,c_15639,c_15628,c_15621,c_7307,c_7293,c_6220,c_6203,c_6186,c_3631,c_3608,c_3585,c_3472,c_3462,c_3452,c_3100,c_3083,c_3066,c_1961,c_1951,c_1941,c_1925,c_1908,c_1891,c_482,c_361,c_269,c_265,c_262,c_260,c_251,c_133,c_134,c_137,c_146,c_147,c_148,c_153,c_154,c_155,c_156,c_157,c_158,c_159,c_160,c_161,c_165,c_166,c_167,c_168,c_169,c_170,c_171,c_172,c_173,c_174,c_175,c_176,c_97,c_99,c_100,c_110,c_111,c_112,c_113,c_114,c_115,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]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN475-1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 20:58:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.17 % SZS status Started for theBenchmark.p
% 0.46/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.17
% 0.46/1.17 ------ iProver source info
% 0.46/1.17
% 0.46/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.17 git: non_committed_changes: false
% 0.46/1.17 git: last_make_outside_of_git: false
% 0.46/1.17
% 0.46/1.17 ------ Parsing...successful
% 0.46/1.17
% 0.46/1.17 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.46/1.17 gs_s sp: 114 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.46/1.17 ------ Proving...
% 0.46/1.17 ------ Problem Properties
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 clauses 192
% 0.46/1.17 conjectures 192
% 0.46/1.17 EPR 192
% 0.46/1.17 Horn 106
% 0.46/1.17 unary 0
% 0.46/1.17 binary 90
% 0.46/1.17 lits 518
% 0.46/1.17 lits eq 0
% 0.46/1.17 fd_pure 0
% 0.46/1.17 fd_pseudo 0
% 0.46/1.17 fd_cond 0
% 0.46/1.17 fd_pseudo_cond 0
% 0.46/1.17 AC symbols 0
% 0.46/1.17
% 0.46/1.17 ------ Schedule EPR non Horn non eq is on
% 0.46/1.17
% 0.46/1.17 ------ no equalities: superposition off
% 0.46/1.17
% 0.46/1.17 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------
% 0.46/1.17 Current options:
% 0.46/1.17 ------
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 ------ Proving...
% 0.46/1.17
% 0.46/1.17
% 0.46/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.17
% 0.46/1.17
%------------------------------------------------------------------------------