TSTP Solution File: COM005-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : COM005-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Wed Aug 30 18:41:41 EDT 2023
% Result : Unsatisfiable 24.59s 4.21s
% Output : CNFRefutation 24.59s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
ap(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c001) ).
cnf(c_50,negated_conjecture,
( ~ ap(X0)
| ~ aq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c002) ).
cnf(c_51,negated_conjecture,
( ~ ap(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c003) ).
cnf(c_52,negated_conjecture,
( ~ aq(X0)
| ~ ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c004) ).
cnf(c_53,negated_conjecture,
( ap(X0)
| aq(X0)
| ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c005) ).
cnf(c_54,negated_conjecture,
( ~ pqr1(X0)
| ~ p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c006) ).
cnf(c_55,negated_conjecture,
( ~ pqr1(X0)
| pp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c007) ).
cnf(c_56,negated_conjecture,
( ~ pqr1(X0)
| ~ q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c008) ).
cnf(c_57,negated_conjecture,
( ~ pqr1(X0)
| ~ qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c009) ).
cnf(c_58,negated_conjecture,
( ~ pqr1(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c010) ).
cnf(c_59,negated_conjecture,
( ~ pqr1(X0)
| ~ rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c011) ).
cnf(c_60,negated_conjecture,
( ~ pqr1(X0)
| aq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c012) ).
cnf(c_61,negated_conjecture,
( ~ pqr2(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c013) ).
cnf(c_62,negated_conjecture,
( ~ pqr2(X0)
| pp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c014) ).
cnf(c_63,negated_conjecture,
( ~ pqr2(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c015) ).
cnf(c_64,negated_conjecture,
( ~ qq(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c016) ).
cnf(c_65,negated_conjecture,
( ~ r(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c017) ).
cnf(c_66,negated_conjecture,
( ~ rr(X0)
| ~ pqr2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c018) ).
cnf(c_67,negated_conjecture,
( ~ pqr2(X0)
| aq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c019) ).
cnf(c_68,negated_conjecture,
( ~ pqr3(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c020) ).
cnf(c_69,negated_conjecture,
( ~ pp(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c021) ).
cnf(c_70,negated_conjecture,
( ~ q(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c022) ).
cnf(c_71,negated_conjecture,
( ~ qq(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c023) ).
cnf(c_72,negated_conjecture,
( ~ r(X0)
| ~ pqr3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c024) ).
cnf(c_73,negated_conjecture,
( ~ pqr3(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c025) ).
cnf(c_74,negated_conjecture,
( ~ pqr3(X0)
| aq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c026) ).
cnf(c_75,negated_conjecture,
( ~ p(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c027) ).
cnf(c_76,negated_conjecture,
( ~ pp(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c028) ).
cnf(c_77,negated_conjecture,
( ~ pqr4(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c029) ).
cnf(c_78,negated_conjecture,
( ~ qq(X0)
| ~ pqr4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c030) ).
cnf(c_79,negated_conjecture,
( ~ pqr4(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c031) ).
cnf(c_80,negated_conjecture,
( ~ pqr4(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c032) ).
cnf(c_81,negated_conjecture,
( ~ pqr4(X0)
| aq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c033) ).
cnf(c_82,negated_conjecture,
( ~ q(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c034) ).
cnf(c_83,negated_conjecture,
( ~ qrp1(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c035) ).
cnf(c_84,negated_conjecture,
( ~ r(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c036) ).
cnf(c_85,negated_conjecture,
( ~ rr(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c037) ).
cnf(c_86,negated_conjecture,
( ~ qrp1(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c038) ).
cnf(c_87,negated_conjecture,
( ~ pp(X0)
| ~ qrp1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c039) ).
cnf(c_88,negated_conjecture,
( ~ qrp1(X0)
| ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c040) ).
cnf(c_89,negated_conjecture,
( ~ qrp2(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c041) ).
cnf(c_90,negated_conjecture,
( ~ qrp2(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c042) ).
cnf(c_91,negated_conjecture,
( ~ qrp2(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c043) ).
cnf(c_92,negated_conjecture,
( ~ rr(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c044) ).
cnf(c_93,negated_conjecture,
( ~ p(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c045) ).
cnf(c_94,negated_conjecture,
( ~ pp(X0)
| ~ qrp2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c046) ).
cnf(c_95,negated_conjecture,
( ~ qrp2(X0)
| ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c047) ).
cnf(c_96,negated_conjecture,
( ~ qrp3(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c048) ).
cnf(c_97,negated_conjecture,
( ~ qq(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c049) ).
cnf(c_98,negated_conjecture,
( ~ r(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c050) ).
cnf(c_99,negated_conjecture,
( ~ rr(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c051) ).
cnf(c_100,negated_conjecture,
( ~ p(X0)
| ~ qrp3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c052) ).
cnf(c_101,negated_conjecture,
( ~ qrp3(X0)
| pp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c053) ).
cnf(c_102,negated_conjecture,
( ~ qrp3(X0)
| ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c054) ).
cnf(c_103,negated_conjecture,
( ~ q(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c055) ).
cnf(c_104,negated_conjecture,
( ~ qq(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c056) ).
cnf(c_105,negated_conjecture,
( ~ qrp4(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c057) ).
cnf(c_106,negated_conjecture,
( ~ rr(X0)
| ~ qrp4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c058) ).
cnf(c_107,negated_conjecture,
( ~ qrp4(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c059) ).
cnf(c_108,negated_conjecture,
( ~ qrp4(X0)
| pp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c060) ).
cnf(c_109,negated_conjecture,
( ~ qrp4(X0)
| ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c061) ).
cnf(c_110,negated_conjecture,
( ~ r(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c062) ).
cnf(c_111,negated_conjecture,
( ~ rpq1(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c063) ).
cnf(c_112,negated_conjecture,
( ~ p(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c064) ).
cnf(c_113,negated_conjecture,
( ~ pp(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c065) ).
cnf(c_114,negated_conjecture,
( ~ rpq1(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c066) ).
cnf(c_115,negated_conjecture,
( ~ qq(X0)
| ~ rpq1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c067) ).
cnf(c_116,negated_conjecture,
( ~ rpq1(X0)
| ap(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c068) ).
cnf(c_117,negated_conjecture,
( ~ rpq2(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c069) ).
cnf(c_118,negated_conjecture,
( ~ rpq2(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c070) ).
cnf(c_119,negated_conjecture,
( ~ rpq2(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c071) ).
cnf(c_120,negated_conjecture,
( ~ pp(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c072) ).
cnf(c_121,negated_conjecture,
( ~ q(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c073) ).
cnf(c_122,negated_conjecture,
( ~ qq(X0)
| ~ rpq2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c074) ).
cnf(c_123,negated_conjecture,
( ~ rpq2(X0)
| ap(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c075) ).
cnf(c_124,negated_conjecture,
( ~ rpq3(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c076) ).
cnf(c_125,negated_conjecture,
( ~ rr(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c077) ).
cnf(c_126,negated_conjecture,
( ~ p(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c078) ).
cnf(c_127,negated_conjecture,
( ~ pp(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c079) ).
cnf(c_128,negated_conjecture,
( ~ q(X0)
| ~ rpq3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c080) ).
cnf(c_129,negated_conjecture,
( ~ rpq3(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c081) ).
cnf(c_130,negated_conjecture,
( ~ rpq3(X0)
| ap(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c082) ).
cnf(c_131,negated_conjecture,
( ~ r(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c083) ).
cnf(c_132,negated_conjecture,
( ~ rr(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c084) ).
cnf(c_133,negated_conjecture,
( ~ rpq4(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c085) ).
cnf(c_134,negated_conjecture,
( ~ pp(X0)
| ~ rpq4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c086) ).
cnf(c_135,negated_conjecture,
( ~ rpq4(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c087) ).
cnf(c_136,negated_conjecture,
( ~ rpq4(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c088) ).
cnf(c_137,negated_conjecture,
( ~ rpq4(X0)
| ap(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c089) ).
cnf(c_138,negated_conjecture,
( ~ qp(X0)
| ~ rq(X0)
| ~ pr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c090) ).
cnf(c_139,negated_conjecture,
( qp(X0)
| rq(X0)
| pr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c091) ).
cnf(c_140,negated_conjecture,
( ~ ap(X0)
| aq(s(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c092) ).
cnf(c_141,negated_conjecture,
( ~ aq(X0)
| ar(s(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c093) ).
cnf(c_142,negated_conjecture,
( ~ ar(X0)
| ap(s(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c094) ).
cnf(c_143,negated_conjecture,
( ~ aq(X0)
| q(s(X0))
| p(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c095) ).
cnf(c_144,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| p(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c096) ).
cnf(c_145,negated_conjecture,
( ~ aq(X0)
| ~ q(X0)
| q(s(X0))
| p(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c097) ).
cnf(c_146,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ q(X0)
| p(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c098) ).
cnf(c_147,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ q(X0)
| ~ r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c099) ).
cnf(c_148,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ q(X0)
| ~ r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c100) ).
cnf(c_149,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ r(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c101) ).
cnf(c_150,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ r(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c102) ).
cnf(c_151,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c103) ).
cnf(c_152,negated_conjecture,
( ~ aq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| pp(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c104) ).
cnf(c_153,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c105) ).
cnf(c_154,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c106) ).
cnf(c_155,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ q(X0)
| q(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c107) ).
cnf(c_156,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ q(X0)
| qq(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c108) ).
cnf(c_157,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| q(s(X0))
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c109) ).
cnf(c_158,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c110) ).
cnf(c_159,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c111) ).
cnf(c_160,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| qq(s(X0))
| q(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c112) ).
cnf(c_161,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c113) ).
cnf(c_162,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c114) ).
cnf(c_163,negated_conjecture,
( ~ aq(X0)
| ~ q(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c115) ).
cnf(c_164,negated_conjecture,
( ~ aq(X0)
| ~ q(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c116) ).
cnf(c_165,negated_conjecture,
( ~ aq(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| q(s(X0))
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c117) ).
cnf(c_166,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c118) ).
cnf(c_167,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| q(s(X0))
| pp(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c119) ).
cnf(c_168,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| qq(s(X0))
| pp(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c120) ).
cnf(c_169,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ qq(X0)
| q(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c121) ).
cnf(c_170,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ qq(X0)
| qq(s(X0))
| q(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c122) ).
cnf(c_171,negated_conjecture,
( ~ aq(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c123) ).
cnf(c_172,negated_conjecture,
( ~ aq(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c124) ).
cnf(c_173,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c125) ).
cnf(c_174,negated_conjecture,
( ~ aq(X0)
| ~ qq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c126) ).
cnf(c_175,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ rr(X0)
| q(s(X0))
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c127) ).
cnf(c_176,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ rr(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c128) ).
cnf(c_177,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ rr(X0)
| q(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c129) ).
cnf(c_178,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ rr(X0)
| q(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c130) ).
cnf(c_179,negated_conjecture,
( ~ aq(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| q(s(X0))
| p(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c131) ).
cnf(c_180,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c132) ).
cnf(c_181,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c133) ).
cnf(c_182,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c134) ).
cnf(c_183,negated_conjecture,
( ~ aq(X0)
| ~ pp(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| q(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c135) ).
cnf(c_184,negated_conjecture,
( ~ aq(X0)
| ~ pp(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| q(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c136) ).
cnf(c_185,negated_conjecture,
( ~ aq(X0)
| ~ pp(X0)
| ~ r(X0)
| pr(s(X0))
| p(X0)
| q(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c137) ).
cnf(c_186,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ rr(X0)
| q(s(X0))
| pp(X0)
| q(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c138) ).
cnf(c_187,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ rr(X0)
| qq(s(X0))
| pp(X0)
| q(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c139) ).
cnf(c_188,negated_conjecture,
( ~ pr(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ rr(X0)
| pp(X0)
| q(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c140) ).
cnf(c_189,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c141) ).
cnf(c_190,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| qq(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c142) ).
cnf(c_191,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| pr(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c143) ).
cnf(c_192,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c144) ).
cnf(c_193,negated_conjecture,
( ~ aq(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| qq(s(X0))
| p(X0)
| pp(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c145) ).
cnf(c_194,negated_conjecture,
( ~ pr(s(X0))
| ~ aq(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c146) ).
cnf(c_195,negated_conjecture,
( ~ q(s(X0))
| aq(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c147) ).
cnf(c_196,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| aq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c148) ).
cnf(c_197,negated_conjecture,
( ~ qq(s(X0))
| aq(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c149) ).
cnf(c_198,negated_conjecture,
( ~ qq(X0)
| qq(s(X0))
| aq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c150) ).
cnf(c_199,negated_conjecture,
( ~ pr(X0)
| pr(s(X0))
| pqr1(X0)
| pqr2(X0)
| pqr3(X0)
| pqr4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c151) ).
cnf(c_200,negated_conjecture,
( ~ pr(s(X0))
| pqr1(X0)
| pqr2(X0)
| pqr3(X0)
| pqr4(X0)
| pr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c152) ).
cnf(c_201,negated_conjecture,
( ~ ar(X0)
| r(s(X0))
| p(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c153) ).
cnf(c_202,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| p(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c154) ).
cnf(c_203,negated_conjecture,
( ~ ar(X0)
| ~ r(X0)
| r(s(X0))
| p(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c155) ).
cnf(c_204,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ r(X0)
| p(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c156) ).
cnf(c_205,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| ~ r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c157) ).
cnf(c_206,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| ~ r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c158) ).
cnf(c_207,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c159) ).
cnf(c_208,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c160) ).
cnf(c_209,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| q(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c161) ).
cnf(c_210,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| q(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c162) ).
cnf(c_211,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c163) ).
cnf(c_212,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c164) ).
cnf(c_213,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| ~ r(X0)
| r(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c165) ).
cnf(c_214,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| ~ r(X0)
| rr(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c166) ).
cnf(c_215,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| r(s(X0))
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c167) ).
cnf(c_216,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c168) ).
cnf(c_217,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ q(X0)
| p(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c169) ).
cnf(c_218,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| rr(s(X0))
| p(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c170) ).
cnf(c_219,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ rr(X0)
| p(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c171) ).
cnf(c_220,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ rr(X0)
| p(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c172) ).
cnf(c_221,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ r(X0)
| r(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c173) ).
cnf(c_222,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ r(X0)
| rr(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c174) ).
cnf(c_223,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| r(s(X0))
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c175) ).
cnf(c_224,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c176) ).
cnf(c_225,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| r(s(X0))
| p(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c177) ).
cnf(c_226,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| p(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c178) ).
cnf(c_227,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ q(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c179) ).
cnf(c_229,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| r(s(X0))
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c181) ).
cnf(c_230,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c182) ).
cnf(c_231,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ rr(X0)
| q(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c183) ).
cnf(c_232,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c184) ).
cnf(c_233,negated_conjecture,
( ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0))
| p(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c185) ).
cnf(c_234,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c186) ).
cnf(c_235,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| p(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c187) ).
cnf(c_236,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| p(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c188) ).
cnf(c_237,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| r(s(X0))
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c189) ).
cnf(c_238,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c190) ).
cnf(c_239,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ qq(X0)
| q(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c191) ).
cnf(c_240,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ qq(X0)
| q(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c192) ).
cnf(c_241,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| r(s(X0))
| pp(X0)
| q(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c193) ).
cnf(c_242,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| rr(s(X0))
| pp(X0)
| q(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c194) ).
cnf(c_243,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| qp(s(X0))
| pp(X0)
| q(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c195) ).
cnf(c_244,negated_conjecture,
( ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| r(s(X0))
| p(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c196) ).
cnf(c_245,negated_conjecture,
( ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| rr(s(X0))
| p(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c197) ).
cnf(c_246,negated_conjecture,
( ~ qp(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ q(X0)
| p(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c198) ).
cnf(c_247,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c199) ).
cnf(c_248,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| rr(s(X0))
| p(X0)
| pp(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c200) ).
cnf(c_249,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| qp(s(X0))
| p(X0)
| pp(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c201) ).
cnf(c_250,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c202) ).
cnf(c_251,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| rr(s(X0))
| q(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c203) ).
cnf(c_252,negated_conjecture,
( ~ qp(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| qq(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c204) ).
cnf(c_253,negated_conjecture,
( ~ r(s(X0))
| ar(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c205) ).
cnf(c_254,negated_conjecture,
( ~ r(X0)
| r(s(X0))
| ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c206) ).
cnf(c_255,negated_conjecture,
( ~ rr(s(X0))
| ar(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c207) ).
cnf(c_256,negated_conjecture,
( ~ rr(X0)
| rr(s(X0))
| ar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c208) ).
cnf(c_258,negated_conjecture,
( ~ qp(s(X0))
| qrp1(X0)
| qrp2(X0)
| qrp3(X0)
| qrp4(X0)
| qp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c210) ).
cnf(c_259,negated_conjecture,
( ~ ap(X0)
| p(s(X0))
| p(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c211) ).
cnf(c_260,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| p(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c212) ).
cnf(c_261,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| p(s(X0))
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c213) ).
cnf(c_262,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| q(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c214) ).
cnf(c_263,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c215) ).
cnf(c_264,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c216) ).
cnf(c_265,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ r(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c217) ).
cnf(c_266,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ r(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c218) ).
cnf(c_267,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ q(X0)
| p(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c219) ).
cnf(c_268,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| pp(s(X0))
| p(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c220) ).
cnf(c_269,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ rr(X0)
| p(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c221) ).
cnf(c_270,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ rr(X0)
| p(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c222) ).
cnf(c_271,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ r(X0)
| p(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c223) ).
cnf(c_272,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ r(X0)
| pp(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c224) ).
cnf(c_273,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c225) ).
cnf(c_274,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c226) ).
cnf(c_275,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c227) ).
cnf(c_276,negated_conjecture,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| p(X0)
| pp(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c228) ).
cnf(c_277,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c229) ).
cnf(c_278,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c230) ).
cnf(c_279,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| p(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c231) ).
cnf(c_280,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| pp(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c232) ).
cnf(c_281,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| p(s(X0))
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c233) ).
cnf(c_282,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c234) ).
cnf(c_283,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| p(s(X0))
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c235) ).
cnf(c_284,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c236) ).
cnf(c_285,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ r(X0)
| p(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c237) ).
cnf(c_286,negated_conjecture,
( ~ ap(X0)
| ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| p(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c238) ).
cnf(c_287,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| p(s(X0))
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c239) ).
cnf(c_288,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| pp(s(X0))
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c240) ).
cnf(c_289,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ q(X0)
| p(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c241) ).
cnf(c_290,negated_conjecture,
( ~ ap(X0)
| ~ pp(X0)
| ~ q(X0)
| pp(s(X0))
| p(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c242) ).
cnf(c_291,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c243) ).
cnf(c_292,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c244) ).
cnf(c_293,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c245) ).
cnf(c_294,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c246) ).
cnf(c_295,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c247) ).
cnf(c_296,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ rr(X0)
| pp(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c248) ).
cnf(c_297,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c249) ).
cnf(c_298,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c250) ).
cnf(c_299,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| ~ rr(X0)
| p(s(X0))
| p(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c251) ).
cnf(c_300,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| ~ rr(X0)
| pp(s(X0))
| p(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c252) ).
cnf(c_301,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| ~ rr(X0)
| rq(s(X0))
| p(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c253) ).
cnf(c_302,negated_conjecture,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| p(s(X0))
| p(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c254) ).
cnf(c_303,negated_conjecture,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| pp(s(X0))
| p(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c255) ).
cnf(c_304,negated_conjecture,
( ~ rq(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c256) ).
cnf(c_305,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c257) ).
cnf(c_306,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(s(X0))
| pp(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c258) ).
cnf(c_307,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| rq(s(X0))
| pp(X0)
| q(X0)
| qq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c259) ).
cnf(c_308,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c260) ).
cnf(c_309,negated_conjecture,
( ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c261) ).
cnf(c_310,negated_conjecture,
( ~ rq(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c262) ).
cnf(c_311,negated_conjecture,
( ~ p(s(X0))
| ap(X0)
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c263) ).
cnf(c_312,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| ap(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c264) ).
cnf(c_313,negated_conjecture,
( ~ pp(s(X0))
| ap(X0)
| pp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c265) ).
cnf(c_314,negated_conjecture,
( ~ pp(X0)
| pp(s(X0))
| ap(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c266) ).
cnf(c_315,negated_conjecture,
( ~ rq(X0)
| rq(s(X0))
| rpq1(X0)
| rpq2(X0)
| rpq3(X0)
| rpq4(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c267) ).
cnf(c_316,negated_conjecture,
( ~ rq(s(X0))
| rpq1(X0)
| rpq2(X0)
| rpq3(X0)
| rpq4(X0)
| rq(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c268) ).
cnf(c_357,plain,
( ~ ap(a)
| aq(s(a)) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_403,plain,
( ~ ap(a)
| ~ aq(a) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_575,plain,
( p(s(X0))
| ~ ap(X0)
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_259,c_259,c_261]) ).
cnf(c_576,negated_conjecture,
( ~ ap(X0)
| p(s(X0))
| q(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_575]) ).
cnf(c_578,plain,
( q(X0)
| p(X0)
| r(s(X0))
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_201,c_201,c_203]) ).
cnf(c_579,negated_conjecture,
( ~ ar(X0)
| r(s(X0))
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_578]) ).
cnf(c_581,plain,
( p(X0)
| q(s(X0))
| ~ aq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_143,c_143,c_145]) ).
cnf(c_582,negated_conjecture,
( ~ aq(X0)
| q(s(X0))
| p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_581]) ).
cnf(c_584,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_261,c_312,c_576]) ).
cnf(c_587,plain,
( ~ ap(X0)
| ~ pp(s(X0))
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_260,c_260,c_262]) ).
cnf(c_588,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| q(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_587]) ).
cnf(c_590,negated_conjecture,
( ~ r(X0)
| r(s(X0))
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_203,c_254,c_579]) ).
cnf(c_593,plain,
( q(X0)
| p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_202,c_202,c_204]) ).
cnf(c_594,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_593]) ).
cnf(c_596,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_145,c_196,c_145]) ).
cnf(c_599,plain,
( p(X0)
| ~ aq(X0)
| ~ qq(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_144,c_144,c_146]) ).
cnf(c_600,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_599]) ).
cnf(c_602,plain,
( rpq2(X0)
| rpq1(X0)
| ~ rq(s(X0))
| rpq4(X0)
| rq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_316,c_137,c_136,c_135,c_133,c_130,c_129,c_124,c_134,c_132,c_131,c_128,c_127,c_126,c_125,c_316,c_304,c_310]) ).
cnf(c_603,negated_conjecture,
( ~ rq(s(X0))
| rpq1(X0)
| rpq2(X0)
| rpq4(X0)
| rq(X0) ),
inference(renaming,[status(thm)],[c_602]) ).
cnf(c_605,plain,
( rpq2(X0)
| rpq1(X0)
| ~ rq(s(X0))
| rq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_603,c_137,c_136,c_135,c_133,c_134,c_132,c_131,c_310,c_603]) ).
cnf(c_606,negated_conjecture,
( ~ rq(s(X0))
| rpq1(X0)
| rpq2(X0)
| rq(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
cnf(c_608,plain,
( rq(s(X0))
| ~ rq(X0)
| rpq2(X0)
| rpq3(X0)
| rpq4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_315,c_123,c_119,c_118,c_117,c_116,c_114,c_111,c_122,c_121,c_120,c_115,c_113,c_112,c_110,c_315,c_301,c_307]) ).
cnf(c_609,negated_conjecture,
( ~ rq(X0)
| rq(s(X0))
| rpq2(X0)
| rpq3(X0)
| rpq4(X0) ),
inference(renaming,[status(thm)],[c_608]) ).
cnf(c_611,plain,
( rq(s(X0))
| ~ rq(X0)
| rpq3(X0)
| rpq4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_609,c_123,c_119,c_118,c_117,c_122,c_121,c_120,c_307,c_609]) ).
cnf(c_612,negated_conjecture,
( ~ rq(X0)
| rq(s(X0))
| rpq3(X0)
| rpq4(X0) ),
inference(renaming,[status(thm)],[c_611]) ).
cnf(c_614,plain,
( ~ ap(X0)
| ~ pp(s(X0))
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_262,c_588]) ).
cnf(c_615,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| q(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_614]) ).
cnf(c_616,plain,
( qrp2(X0)
| qrp1(X0)
| ~ qp(s(X0))
| qrp4(X0)
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_258,c_109,c_108,c_107,c_105,c_102,c_101,c_96,c_106,c_104,c_103,c_100,c_99,c_98,c_97,c_258,c_246,c_252]) ).
cnf(c_617,negated_conjecture,
( ~ qp(s(X0))
| qrp1(X0)
| qrp2(X0)
| qrp4(X0)
| qp(X0) ),
inference(renaming,[status(thm)],[c_616]) ).
cnf(c_619,plain,
( qrp2(X0)
| qrp1(X0)
| ~ qp(s(X0))
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_617,c_109,c_108,c_107,c_105,c_106,c_104,c_103,c_252,c_617]) ).
cnf(c_620,negated_conjecture,
( ~ qp(s(X0))
| qrp1(X0)
| qrp2(X0)
| qp(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
cnf(c_628,plain,
( ~ ar(X0)
| ~ rr(s(X0))
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_204,c_594]) ).
cnf(c_629,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_628]) ).
cnf(c_630,plain,
( pqr2(X0)
| pqr1(X0)
| ~ pr(s(X0))
| pqr4(X0)
| pr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_200,c_81,c_80,c_79,c_77,c_74,c_73,c_68,c_78,c_76,c_75,c_72,c_71,c_70,c_69,c_200,c_188,c_194]) ).
cnf(c_631,negated_conjecture,
( ~ pr(s(X0))
| pqr1(X0)
| pqr2(X0)
| pqr4(X0)
| pr(X0) ),
inference(renaming,[status(thm)],[c_630]) ).
cnf(c_633,plain,
( pqr2(X0)
| pqr1(X0)
| ~ pr(s(X0))
| pr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_631,c_81,c_80,c_79,c_77,c_78,c_76,c_75,c_194,c_631]) ).
cnf(c_634,negated_conjecture,
( ~ pr(s(X0))
| pqr1(X0)
| pqr2(X0)
| pr(X0) ),
inference(renaming,[status(thm)],[c_633]) ).
cnf(c_636,plain,
( pr(s(X0))
| ~ pr(X0)
| pqr2(X0)
| pqr3(X0)
| pqr4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_199,c_67,c_63,c_62,c_61,c_60,c_58,c_55,c_66,c_65,c_64,c_59,c_57,c_56,c_54,c_199,c_185,c_191]) ).
cnf(c_637,negated_conjecture,
( ~ pr(X0)
| pr(s(X0))
| pqr2(X0)
| pqr3(X0)
| pqr4(X0) ),
inference(renaming,[status(thm)],[c_636]) ).
cnf(c_639,plain,
( pr(s(X0))
| ~ pr(X0)
| pqr3(X0)
| pqr4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_637,c_67,c_63,c_62,c_61,c_66,c_65,c_64,c_191,c_637]) ).
cnf(c_640,negated_conjecture,
( ~ pr(X0)
| pr(s(X0))
| pqr3(X0)
| pqr4(X0) ),
inference(renaming,[status(thm)],[c_639]) ).
cnf(c_642,plain,
( ~ aq(X0)
| ~ qq(s(X0))
| p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_146,c_144,c_146]) ).
cnf(c_643,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_642]) ).
cnf(c_644,plain,
( ~ r(X0)
| ~ q(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_266,c_266,c_264]) ).
cnf(c_645,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_644]) ).
cnf(c_647,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ r(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_265,c_311,c_265]) ).
cnf(c_650,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_208,c_208,c_206]) ).
cnf(c_651,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_650]) ).
cnf(c_653,negated_conjecture,
( ~ r(s(X0))
| ~ p(X0)
| ~ q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_207,c_253,c_207]) ).
cnf(c_656,plain,
( ~ r(X0)
| ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_150,c_150,c_148]) ).
cnf(c_657,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_656]) ).
cnf(c_659,negated_conjecture,
( ~ q(s(X0))
| ~ p(X0)
| ~ r(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_149,c_195,c_149]) ).
cnf(c_662,plain,
( ~ ap(X0)
| ~ pp(s(X0))
| ~ q(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_264,c_645]) ).
cnf(c_663,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_662]) ).
cnf(c_664,plain,
( ~ ap(X0)
| ~ p(s(X0))
| ~ q(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_263,c_311,c_265,c_263]) ).
cnf(c_665,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_664]) ).
cnf(c_667,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_206,c_651]) ).
cnf(c_668,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_667]) ).
cnf(c_669,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_205,c_205,c_653]) ).
cnf(c_670,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ q(X0) ),
inference(renaming,[status(thm)],[c_669]) ).
cnf(c_672,plain,
( ~ p(X0)
| ~ aq(X0)
| ~ qq(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_148,c_657]) ).
cnf(c_673,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_672]) ).
cnf(c_674,plain,
( ~ p(X0)
| ~ aq(X0)
| ~ q(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_147,c_195,c_149,c_147]) ).
cnf(c_675,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_674]) ).
cnf(c_677,plain,
( pp(s(X0))
| ~ r(X0)
| ~ ap(X0)
| pp(X0)
| q(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_276,c_276,c_272,c_306]) ).
cnf(c_678,negated_conjecture,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| pp(X0)
| q(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_677]) ).
cnf(c_680,plain,
( pp(s(X0))
| ~ q(X0)
| ~ ap(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_268,c_268,c_280,c_309]) ).
cnf(c_681,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_680]) ).
cnf(c_683,plain,
( pp(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ ar(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_218,c_218,c_214,c_248]) ).
cnf(c_684,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| rr(s(X0))
| p(X0)
| pp(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_683]) ).
cnf(c_686,plain,
( qq(X0)
| q(X0)
| rr(s(X0))
| ~ p(X0)
| ~ ar(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_210,c_210,c_222,c_251]) ).
cnf(c_687,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| q(X0)
| qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_686]) ).
cnf(c_689,plain,
( qq(s(X0))
| ~ p(X0)
| ~ aq(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_160,c_156,c_190]) ).
cnf(c_690,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| qq(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
cnf(c_692,plain,
( pp(X0)
| p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ aq(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_152,c_152,c_164,c_193]) ).
cnf(c_693,negated_conjecture,
( ~ aq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| pp(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_692]) ).
cnf(c_695,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| pp(s(X0))
| p(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290,c_314,c_290]) ).
cnf(c_698,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| p(X0)
| q(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_286,c_314,c_286]) ).
cnf(c_701,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| pp(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_280,c_280,c_300,c_681]) ).
cnf(c_704,plain,
( p(s(X0))
| ~ p(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_279,c_312,c_279,c_287,c_584]) ).
cnf(c_705,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_704]) ).
cnf(c_707,negated_conjecture,
( ~ p(s(X0))
| ~ r(X0)
| p(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_275,c_311,c_275,c_285,c_647]) ).
cnf(c_710,negated_conjecture,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_272,c_272,c_303,c_678]) ).
cnf(c_713,plain,
( p(s(X0))
| ~ p(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_271,c_312,c_259,c_261,c_271,c_283]) ).
cnf(c_714,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_713]) ).
cnf(c_716,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_267,c_311,c_265,c_267,c_289]) ).
cnf(c_719,negated_conjecture,
( ~ p(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_232,c_256,c_232]) ).
cnf(c_725,plain,
( ~ p(X0)
| ~ ar(X0)
| rr(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_222,c_210,c_222,c_242,c_251]) ).
cnf(c_726,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_725]) ).
cnf(c_728,plain,
( q(X0)
| pp(X0)
| r(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221,c_254,c_221,c_229,c_590]) ).
cnf(c_729,negated_conjecture,
( ~ r(X0)
| r(s(X0))
| pp(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_728]) ).
cnf(c_731,plain,
( r(X0)
| pp(X0)
| ~ r(s(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_217,c_253,c_207,c_217,c_227]) ).
cnf(c_732,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| pp(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_731]) ).
cnf(c_734,plain,
( ~ q(X0)
| ~ ar(X0)
| rr(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_214,c_214,c_245,c_684]) ).
cnf(c_735,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| rr(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_734]) ).
cnf(c_737,plain,
( qq(X0)
| p(X0)
| r(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_213,c_254,c_213,c_225,c_590]) ).
cnf(c_738,negated_conjecture,
( ~ r(X0)
| r(s(X0))
| p(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_737]) ).
cnf(c_740,plain,
( r(X0)
| qq(X0)
| ~ r(s(X0))
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_209,c_253,c_209,c_231,c_653]) ).
cnf(c_741,negated_conjecture,
( ~ r(s(X0))
| ~ p(X0)
| qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_740]) ).
cnf(c_743,negated_conjecture,
( ~ qq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_174,c_198,c_174]) ).
cnf(c_746,negated_conjecture,
( ~ p(X0)
| ~ qq(X0)
| qq(s(X0))
| q(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_170,c_198,c_170]) ).
cnf(c_749,negated_conjecture,
( ~ aq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_164,c_164,c_184,c_693]) ).
cnf(c_752,plain,
( p(X0)
| q(s(X0))
| ~ q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_163,c_196,c_163,c_171,c_596]) ).
cnf(c_753,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| p(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_752]) ).
cnf(c_755,negated_conjecture,
( ~ q(s(X0))
| ~ p(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_159,c_195,c_149,c_159,c_169]) ).
cnf(c_758,plain,
( ~ p(X0)
| ~ aq(X0)
| qq(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_156,c_156,c_187,c_690]) ).
cnf(c_759,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| qq(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_758]) ).
cnf(c_761,plain,
( pp(X0)
| q(s(X0))
| ~ q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_155,c_196,c_155,c_167,c_582]) ).
cnf(c_762,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| pp(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_761]) ).
cnf(c_764,plain,
( q(X0)
| pp(X0)
| ~ q(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_151,c_195,c_149,c_151,c_173]) ).
cnf(c_765,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_764]) ).
cnf(c_767,plain,
( p(X0)
| ~ q(X0)
| ~ p(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289,c_311,c_265,c_267,c_289]) ).
cnf(c_768,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| p(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_767]) ).
cnf(c_772,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_287,c_705]) ).
cnf(c_774,plain,
( p(X0)
| ~ r(X0)
| ~ p(s(X0))
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_285,c_707]) ).
cnf(c_775,negated_conjecture,
( ~ p(s(X0))
| ~ r(X0)
| p(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_774]) ).
cnf(c_776,negated_conjecture,
( ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_284,c_314,c_284]) ).
cnf(c_779,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_283,c_714]) ).
cnf(c_781,negated_conjecture,
( ~ r(s(X0))
| ~ p(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_231,c_741]) ).
cnf(c_783,negated_conjecture,
( ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_230,c_256,c_230]) ).
cnf(c_786,negated_conjecture,
( ~ r(X0)
| r(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_229,c_729]) ).
cnf(c_788,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| pp(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_227,c_732]) ).
cnf(c_790,negated_conjecture,
( ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| p(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_226,c_256,c_226]) ).
cnf(c_793,negated_conjecture,
( ~ r(X0)
| r(s(X0))
| p(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_225,c_254,c_213,c_225,c_590]) ).
cnf(c_795,plain,
( ~ r(X0)
| ~ q(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_173,c_195,c_149,c_151,c_173]) ).
cnf(c_796,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| pp(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_795]) ).
cnf(c_797,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_172,c_198,c_172]) ).
cnf(c_800,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| p(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171,c_753]) ).
cnf(c_802,plain,
( q(X0)
| ~ q(s(X0))
| ~ p(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169,c_755]) ).
cnf(c_803,negated_conjecture,
( ~ q(s(X0))
| ~ p(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_802]) ).
cnf(c_804,negated_conjecture,
( ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| qq(s(X0))
| pp(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_168,c_198,c_168]) ).
cnf(c_807,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| pp(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_167,c_762]) ).
cnf(c_809,plain,
( pp(s(X0))
| ~ r(X0)
| ~ ap(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_303,c_710]) ).
cnf(c_810,negated_conjecture,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_809]) ).
cnf(c_811,plain,
( p(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_302,c_302,c_576,c_714]) ).
cnf(c_812,negated_conjecture,
( ~ ap(X0)
| ~ qq(X0)
| p(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_811]) ).
cnf(c_814,plain,
( pp(s(X0))
| ~ ap(X0)
| ~ q(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_300,c_701]) ).
cnf(c_815,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| pp(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_814]) ).
cnf(c_816,plain,
( p(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_299,c_259,c_261,c_299,c_705]) ).
cnf(c_817,negated_conjecture,
( ~ ap(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_816]) ).
cnf(c_819,negated_conjecture,
( ~ p(X0)
| ~ pp(X0)
| p(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_281,c_312,c_281,c_584,c_705]) ).
cnf(c_822,plain,
( ~ qq(X0)
| ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0))
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_278,c_260,c_278]) ).
cnf(c_823,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_822]) ).
cnf(c_825,plain,
( p(X0)
| ~ r(X0)
| ~ p(s(X0))
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_277,c_311,c_277,c_647,c_707]) ).
cnf(c_826,negated_conjecture,
( ~ p(s(X0))
| ~ pp(X0)
| ~ r(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_825]) ).
cnf(c_828,negated_conjecture,
( ~ p(X0)
| ~ pp(X0)
| p(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_273,c_312,c_273,c_714,c_819]) ).
cnf(c_831,plain,
( ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_270,c_270,c_588]) ).
cnf(c_832,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| ~ rr(X0)
| p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_831]) ).
cnf(c_834,plain,
( p(X0)
| ~ p(s(X0))
| ~ pp(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_269,c_311,c_269,c_716,c_826]) ).
cnf(c_835,negated_conjecture,
( ~ p(s(X0))
| ~ pp(X0)
| ~ q(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_834]) ).
cnf(c_837,plain,
( qq(X0)
| p(X0)
| rr(s(X0))
| ~ q(X0)
| ~ ar(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_245,c_735]) ).
cnf(c_838,negated_conjecture,
( ~ ar(X0)
| ~ q(X0)
| rr(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_837]) ).
cnf(c_839,plain,
( qq(X0)
| p(X0)
| r(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_244,c_254,c_201,c_203,c_213,c_225,c_244,c_590]) ).
cnf(c_840,negated_conjecture,
( ~ ar(X0)
| ~ pp(X0)
| r(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_839]) ).
cnf(c_842,plain,
( q(X0)
| pp(X0)
| rr(s(X0))
| ~ ar(X0)
| ~ p(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_242,c_726]) ).
cnf(c_843,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_842]) ).
cnf(c_844,plain,
( q(X0)
| pp(X0)
| r(s(X0))
| ~ qq(X0)
| ~ ar(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_241,c_241,c_579,c_729]) ).
cnf(c_845,negated_conjecture,
( ~ ar(X0)
| ~ qq(X0)
| r(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_844]) ).
cnf(c_847,negated_conjecture,
( ~ r(X0)
| ~ rr(X0)
| r(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_223,c_254,c_223,c_590,c_729]) ).
cnf(c_850,plain,
( ~ pp(X0)
| ~ ar(X0)
| ~ rr(s(X0))
| ~ rr(X0)
| p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_220,c_220,c_594]) ).
cnf(c_851,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ rr(X0)
| p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_850]) ).
cnf(c_853,plain,
( ~ rr(X0)
| ~ q(X0)
| ~ r(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_219,c_253,c_207,c_219,c_732]) ).
cnf(c_854,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ rr(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_853]) ).
cnf(c_856,negated_conjecture,
( ~ r(X0)
| ~ rr(X0)
| r(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_215,c_254,c_215,c_738,c_847]) ).
cnf(c_859,plain,
( ~ ar(X0)
| ~ rr(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_212,c_212,c_594]) ).
cnf(c_860,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_859]) ).
cnf(c_862,plain,
( ~ rr(X0)
| ~ r(s(X0))
| ~ p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_211,c_253,c_211,c_741,c_854]) ).
cnf(c_863,negated_conjecture,
( ~ r(s(X0))
| ~ p(X0)
| ~ rr(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_862]) ).
cnf(c_865,plain,
( pp(X0)
| qq(s(X0))
| ~ aq(X0)
| ~ p(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_187,c_759]) ).
cnf(c_866,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| qq(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_865]) ).
cnf(c_867,plain,
( pp(X0)
| q(s(X0))
| ~ rr(X0)
| ~ aq(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_186,c_186,c_582,c_762]) ).
cnf(c_868,negated_conjecture,
( ~ aq(X0)
| ~ rr(X0)
| q(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_867]) ).
cnf(c_870,plain,
( p(X0)
| qq(s(X0))
| ~ r(X0)
| ~ aq(X0)
| qq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_184,c_749]) ).
cnf(c_871,negated_conjecture,
( ~ aq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_870]) ).
cnf(c_872,plain,
( p(X0)
| q(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| qq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_183,c_183,c_582,c_753]) ).
cnf(c_873,negated_conjecture,
( ~ aq(X0)
| ~ pp(X0)
| q(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_872]) ).
cnf(c_875,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| q(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165,c_196,c_165,c_582,c_753]) ).
cnf(c_878,plain,
( ~ aq(X0)
| ~ qq(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_162,c_162,c_600]) ).
cnf(c_879,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_878]) ).
cnf(c_881,plain,
( q(X0)
| ~ q(s(X0))
| ~ p(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_161,c_195,c_149,c_161,c_755]) ).
cnf(c_882,negated_conjecture,
( ~ q(s(X0))
| ~ p(X0)
| ~ qq(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_881]) ).
cnf(c_884,negated_conjecture,
( ~ q(X0)
| ~ qq(X0)
| q(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_157,c_196,c_167,c_157,c_875]) ).
cnf(c_887,plain,
( ~ qq(X0)
| ~ pp(X0)
| ~ aq(X0)
| ~ qq(s(X0))
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_154,c_144,c_146,c_154]) ).
cnf(c_888,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_887]) ).
cnf(c_890,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_153,c_195,c_153,c_659,c_765]) ).
cnf(c_891,negated_conjecture,
( ~ q(s(X0))
| ~ qq(X0)
| ~ r(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_890]) ).
cnf(c_893,plain,
( ~ q(X0)
| ~ ap(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_309,c_681]) ).
cnf(c_894,negated_conjecture,
( ~ ap(X0)
| ~ q(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_893]) ).
cnf(c_895,plain,
( ~ r(X0)
| ~ ap(X0)
| pp(s(X0))
| pp(X0)
| q(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_306,c_276,c_272,c_306]) ).
cnf(c_896,negated_conjecture,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| pp(X0)
| q(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_895]) ).
cnf(c_897,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_282,c_282,c_588]) ).
cnf(c_898,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_897]) ).
cnf(c_900,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0))
| ~ rr(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_274,c_274,c_588]) ).
cnf(c_901,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ rr(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_900]) ).
cnf(c_903,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| q(X0)
| qq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_251,c_687]) ).
cnf(c_907,plain,
( ~ ar(X0)
| ~ rr(s(X0))
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_224,c_224,c_594]) ).
cnf(c_908,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_907]) ).
cnf(c_910,plain,
( ~ ar(X0)
| ~ rr(s(X0))
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_216,c_216,c_594]) ).
cnf(c_911,negated_conjecture,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_910]) ).
cnf(c_913,plain,
( ~ r(X0)
| ~ aq(X0)
| qq(s(X0))
| p(X0)
| pp(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_193,c_693]) ).
cnf(c_914,negated_conjecture,
( ~ aq(X0)
| ~ r(X0)
| qq(s(X0))
| p(X0)
| pp(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_913]) ).
cnf(c_915,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| qq(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_190,c_690]) ).
cnf(c_917,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ aq(X0)
| ~ qq(s(X0))
| ~ rr(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_166,c_144,c_146,c_166]) ).
cnf(c_918,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ rr(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_917]) ).
cnf(c_920,plain,
( ~ aq(X0)
| ~ qq(s(X0))
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_158,c_158,c_600]) ).
cnf(c_921,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ q(X0)
| ~ qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_920]) ).
cnf(c_923,plain,
( pp(X0)
| ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| ~ ap(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_308,c_311,c_265,c_308,c_297,c_665,c_716,c_835]) ).
cnf(c_924,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_923]) ).
cnf(c_926,plain,
( pp(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ p(s(X0))
| ~ ap(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_305,c_311,c_263,c_305,c_293,c_647,c_707,c_826]) ).
cnf(c_927,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_926]) ).
cnf(c_929,plain,
( ~ rr(X0)
| ~ qq(X0)
| ~ pp(s(X0))
| pp(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_298,c_313,c_260,c_262,c_298,c_294,c_296,c_292,c_645]) ).
cnf(c_930,negated_conjecture,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| pp(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_929]) ).
cnf(c_932,plain,
( pp(X0)
| ~ rr(X0)
| ~ qq(X0)
| ~ pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_930,c_313,c_294,c_292,c_645,c_930]) ).
cnf(c_933,negated_conjecture,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| pp(X0) ),
inference(renaming,[status(thm)],[c_932]) ).
cnf(c_935,plain,
( ~ qq(X0)
| ~ q(X0)
| ~ p(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_297,c_311,c_265,c_297,c_716,c_835]) ).
cnf(c_936,negated_conjecture,
( ~ p(s(X0))
| ~ q(X0)
| ~ qq(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_935]) ).
cnf(c_938,plain,
( p(s(X0))
| ~ rr(X0)
| ~ p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_295,c_312,c_279,c_287,c_295,c_584,c_819]) ).
cnf(c_939,negated_conjecture,
( ~ p(X0)
| ~ rr(X0)
| p(s(X0))
| r(X0) ),
inference(renaming,[status(thm)],[c_938]) ).
cnf(c_943,negated_conjecture,
( ~ p(s(X0))
| ~ r(X0)
| ~ rr(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293,c_311,c_293,c_647,c_707,c_826]) ).
cnf(c_946,plain,
( p(s(X0))
| ~ qq(X0)
| ~ p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_291,c_312,c_261,c_291,c_714,c_828]) ).
cnf(c_947,negated_conjecture,
( ~ p(X0)
| ~ qq(X0)
| p(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_946]) ).
cnf(c_949,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| qq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_250,c_250,c_670,c_741]) ).
cnf(c_952,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_247,c_205,c_247,c_653,c_732]) ).
cnf(c_955,plain,
( q(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ rr(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_240,c_255,c_240,c_238,c_594]) ).
cnf(c_956,negated_conjecture,
( ~ rr(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_955]) ).
cnf(c_958,plain,
( ~ qq(X0)
| ~ pp(X0)
| ~ rr(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_956,c_255,c_236,c_234,c_651,c_956]) ).
cnf(c_959,negated_conjecture,
( ~ rr(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_958]) ).
cnf(c_961,plain,
( r(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_239,c_253,c_207,c_239,c_741,c_863]) ).
cnf(c_962,negated_conjecture,
( ~ r(s(X0))
| ~ p(X0)
| ~ pp(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_961]) ).
cnf(c_964,plain,
( q(X0)
| r(s(X0))
| ~ r(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_237,c_254,c_237,c_590,c_729,c_847]) ).
cnf(c_965,negated_conjecture,
( ~ qq(X0)
| ~ r(X0)
| r(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_964]) ).
cnf(c_969,plain,
( r(X0)
| ~ r(s(X0))
| ~ q(X0)
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_235,c_253,c_207,c_217,c_227,c_235,c_854]) ).
cnf(c_970,negated_conjecture,
( ~ r(s(X0))
| ~ q(X0)
| ~ qq(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_969]) ).
cnf(c_972,plain,
( p(X0)
| r(s(X0))
| ~ r(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_233,c_254,c_233,c_590,c_738,c_856]) ).
cnf(c_973,negated_conjecture,
( ~ pp(X0)
| ~ r(X0)
| r(s(X0))
| p(X0) ),
inference(renaming,[status(thm)],[c_972]) ).
cnf(c_975,plain,
( ~ rr(X0)
| ~ r(X0)
| ~ q(s(X0))
| ~ aq(X0)
| pp(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_192,c_195,c_149,c_151,c_173,c_192,c_675]) ).
cnf(c_976,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_975]) ).
cnf(c_978,plain,
( qq(X0)
| ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_189,c_195,c_149,c_189,c_177,c_675,c_755,c_882]) ).
cnf(c_979,negated_conjecture,
( ~ q(s(X0))
| ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_978]) ).
cnf(c_981,plain,
( p(X0)
| ~ rr(X0)
| ~ qq(s(X0))
| ~ pp(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_182,c_197,c_182,c_180,c_600]) ).
cnf(c_982,negated_conjecture,
( ~ qq(s(X0))
| ~ pp(X0)
| ~ rr(X0)
| p(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_981]) ).
cnf(c_984,plain,
( ~ rr(X0)
| ~ pp(X0)
| ~ qq(s(X0))
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_982,c_197,c_178,c_176,c_657,c_982]) ).
cnf(c_985,negated_conjecture,
( ~ qq(s(X0))
| ~ pp(X0)
| ~ rr(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_984]) ).
cnf(c_987,plain,
( q(X0)
| ~ q(s(X0))
| ~ r(X0)
| ~ rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_181,c_195,c_149,c_151,c_173,c_181,c_659,c_891]) ).
cnf(c_988,negated_conjecture,
( ~ q(s(X0))
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_987]) ).
cnf(c_990,plain,
( p(X0)
| q(s(X0))
| ~ q(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_179,c_196,c_179,c_596,c_753,c_875]) ).
cnf(c_991,negated_conjecture,
( ~ pp(X0)
| ~ q(X0)
| q(s(X0))
| p(X0) ),
inference(renaming,[status(thm)],[c_990]) ).
cnf(c_995,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ q(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177,c_195,c_149,c_177,c_755,c_882]) ).
cnf(c_996,negated_conjecture,
( ~ q(s(X0))
| ~ p(X0)
| ~ pp(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_995]) ).
cnf(c_998,plain,
( q(s(X0))
| ~ rr(X0)
| ~ q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_175,c_196,c_175,c_596,c_762,c_884]) ).
cnf(c_999,negated_conjecture,
( ~ q(X0)
| ~ rr(X0)
| q(s(X0))
| r(X0) ),
inference(renaming,[status(thm)],[c_998]) ).
cnf(c_1003,plain,
( pp(X0)
| ~ rr(X0)
| ~ pp(s(X0))
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292,c_933]) ).
cnf(c_1004,negated_conjecture,
( ~ pp(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| pp(X0) ),
inference(renaming,[status(thm)],[c_1003]) ).
cnf(c_1007,plain,
( ~ pp(X0)
| ~ rr(s(X0))
| ~ qq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_234,c_959]) ).
cnf(c_1008,negated_conjecture,
( ~ rr(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_1007]) ).
cnf(c_1011,plain,
( qq(X0)
| ~ rr(X0)
| ~ qq(s(X0))
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_176,c_985]) ).
cnf(c_1012,negated_conjecture,
( ~ qq(s(X0))
| ~ pp(X0)
| ~ rr(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_1011]) ).
cnf(c_3217,plain,
( ~ qp(s(X0))
| ar(X0)
| qrp2(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_620,c_88]) ).
cnf(c_3219,plain,
( ar(X0)
| ~ qp(s(X0))
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3217,c_109,c_95,c_88,c_617]) ).
cnf(c_3220,plain,
( ~ qp(s(X0))
| ar(X0)
| qp(X0) ),
inference(renaming,[status(thm)],[c_3219]) ).
cnf(c_3259,plain,
( ~ qp(s(X0))
| ~ rr(X0)
| qrp2(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_620,c_85]) ).
cnf(c_3261,plain,
( ~ rr(X0)
| ~ qp(s(X0))
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3259,c_92,c_3259]) ).
cnf(c_3262,plain,
( ~ qp(s(X0))
| ~ rr(X0)
| qp(X0) ),
inference(renaming,[status(thm)],[c_3261]) ).
cnf(c_3273,plain,
( ~ qp(s(X0))
| ~ r(X0)
| qrp2(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_620,c_84]) ).
cnf(c_3697,plain,
( ~ rq(s(X0))
| ap(X0)
| rpq2(X0)
| rq(X0) ),
inference(resolution,[status(thm)],[c_606,c_116]) ).
cnf(c_3698,plain,
( ap(X0)
| ~ rq(s(X0))
| rq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3697,c_137,c_123,c_116,c_603]) ).
cnf(c_3699,plain,
( ~ rq(s(X0))
| ap(X0)
| rq(X0) ),
inference(renaming,[status(thm)],[c_3698]) ).
cnf(c_3933,plain,
( ~ rq(X0)
| rq(s(X0))
| ap(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_612,c_130]) ).
cnf(c_3934,plain,
( ap(X0)
| rq(s(X0))
| ~ rq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3933,c_137,c_130,c_123,c_609]) ).
cnf(c_3935,plain,
( ~ rq(X0)
| rq(s(X0))
| ap(X0) ),
inference(renaming,[status(thm)],[c_3934]) ).
cnf(c_7224,plain,
( ~ ap(s(X0))
| ~ aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_7225,plain,
( ~ ap(s(a))
| ~ aq(s(a)) ),
inference(instantiation,[status(thm)],[c_7224]) ).
cnf(c_7226,plain,
( ~ aq(s(X0))
| ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_141]) ).
cnf(c_7228,plain,
( ~ q(s(s(X0)))
| ~ p(s(X0))
| ~ qq(s(X0))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_882]) ).
cnf(c_7229,plain,
( ~ q(s(s(X0)))
| ~ aq(s(X0))
| ~ p(s(X0))
| ~ r(s(X0)) ),
inference(instantiation,[status(thm)],[c_675]) ).
cnf(c_7230,plain,
( ~ qq(s(s(X0)))
| ~ aq(s(X0))
| ~ p(s(X0))
| ~ r(s(X0)) ),
inference(instantiation,[status(thm)],[c_673]) ).
cnf(c_7231,plain,
( ~ pqr1(s(X0))
| ~ p(s(X0)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_7232,plain,
( ~ q(s(s(X0)))
| ~ p(s(X0))
| ~ r(s(X0))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_659]) ).
cnf(c_7238,plain,
( ~ p(s(X0))
| p(s(s(X0)))
| q(s(X0))
| rr(s(X0)) ),
inference(instantiation,[status(thm)],[c_779]) ).
cnf(c_7240,plain,
( ~ p(s(X0))
| ~ qq(s(X0))
| p(s(s(X0)))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_947]) ).
cnf(c_7244,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(s(X0))
| pp(s(s(X0)))
| q(s(X0))
| rr(s(X0)) ),
inference(instantiation,[status(thm)],[c_776]) ).
cnf(c_7245,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| p(s(s(X0)))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_828]) ).
cnf(c_7248,plain,
( ~ rr(s(s(X0)))
| ~ pp(s(X0))
| ~ qq(s(X0))
| rr(s(X0)) ),
inference(instantiation,[status(thm)],[c_1008]) ).
cnf(c_7249,plain,
( ~ q(s(s(X0)))
| ~ p(s(X0))
| ~ pp(s(X0))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_996]) ).
cnf(c_7250,plain,
( ~ p(s(s(X0)))
| ~ pp(s(X0))
| ~ r(s(X0))
| p(s(X0)) ),
inference(instantiation,[status(thm)],[c_826]) ).
cnf(c_7258,plain,
( ~ pp(s(X0))
| ~ rpq3(s(X0)) ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_7260,plain,
( ~ rq(s(s(X0)))
| rpq1(s(X0))
| rpq2(s(X0))
| rq(s(X0)) ),
inference(instantiation,[status(thm)],[c_606]) ).
cnf(c_7262,plain,
( qp(s(X0))
| rq(s(X0))
| pr(s(X0)) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_7264,plain,
( ~ rpq3(s(X0))
| ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_130]) ).
cnf(c_7265,plain,
( ~ rpq2(s(X0))
| ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_7266,plain,
( ~ rpq1(s(X0))
| ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_7267,plain,
( ~ pp(s(X0))
| pp(s(s(X0)))
| ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_314]) ).
cnf(c_7268,plain,
( ~ pp(s(s(X0)))
| ap(s(X0))
| pp(s(X0)) ),
inference(instantiation,[status(thm)],[c_313]) ).
cnf(c_7269,plain,
( ~ p(s(X0))
| p(s(s(X0)))
| ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_312]) ).
cnf(c_7270,plain,
( ~ p(s(s(X0)))
| ap(s(X0))
| p(s(X0)) ),
inference(instantiation,[status(thm)],[c_311]) ).
cnf(c_7271,plain,
( ~ rpq4(s(X0))
| ap(s(X0)) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_7272,plain,
( ap(s(X0))
| aq(s(X0))
| ar(s(X0)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_7283,plain,
( ~ rr(s(s(s(X0))))
| ~ ar(s(s(X0)))
| p(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_629]) ).
cnf(c_7284,plain,
( ~ aq(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_7285,plain,
( ~ ar(s(s(X0)))
| ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_7286,plain,
( ~ ap(s(s(X0)))
| ~ ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7296,plain,
( ~ ap(s(s(X0)))
| ~ p(s(s(X0)))
| ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| rq(s(s(s(X0))))
| pp(s(s(X0)))
| q(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_307]) ).
cnf(c_7297,plain,
( ~ qp(s(s(s(X0))))
| ~ ar(s(s(X0)))
| ~ p(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ r(s(s(X0)))
| q(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_252]) ).
cnf(c_7298,plain,
( ~ pr(s(s(s(X0))))
| ~ aq(s(s(X0)))
| ~ q(s(s(X0)))
| ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| p(s(s(X0)))
| pp(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_7299,plain,
( ~ aq(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ r(s(s(X0)))
| pr(s(s(s(X0))))
| p(s(s(X0)))
| q(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_185]) ).
cnf(c_7301,plain,
( ~ q(s(s(s(X0))))
| ~ aq(s(s(X0)))
| ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| pp(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_976]) ).
cnf(c_7302,plain,
( ~ r(s(s(s(X0))))
| ~ ar(s(s(X0)))
| ~ p(s(s(X0)))
| ~ pp(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_7303,plain,
( ~ aq(s(s(X0)))
| ~ r(s(s(X0)))
| qq(s(s(s(X0))))
| p(s(s(X0)))
| pp(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_914]) ).
cnf(c_7304,plain,
( ~ ap(s(s(X0)))
| ~ r(s(s(X0)))
| pp(s(s(s(X0))))
| pp(s(s(X0)))
| q(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_7305,plain,
( ~ aq(s(s(X0)))
| ~ pp(s(s(X0)))
| q(s(s(s(X0))))
| p(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_873]) ).
cnf(c_7306,plain,
( ~ ar(s(s(X0)))
| ~ p(s(s(X0)))
| rr(s(s(s(X0))))
| q(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_903]) ).
cnf(c_7307,plain,
( ~ aq(s(s(X0)))
| ~ r(s(s(X0)))
| qq(s(s(s(X0))))
| p(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_871]) ).
cnf(c_7308,plain,
( ~ ar(s(s(X0)))
| ~ pp(s(s(X0)))
| r(s(s(s(X0))))
| p(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_840]) ).
cnf(c_7309,plain,
( ~ ar(s(s(X0)))
| ~ q(s(s(X0)))
| rr(s(s(s(X0))))
| p(s(s(X0)))
| qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_838]) ).
cnf(c_7310,plain,
( ~ q(s(s(X0)))
| ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| rr(s(s(s(X0))))
| p(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_790]) ).
cnf(c_7311,plain,
( ~ pp(s(s(X0)))
| ~ r(s(s(X0)))
| pp(s(s(s(X0))))
| p(s(s(X0)))
| q(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_698]) ).
cnf(c_7312,plain,
( ~ r(s(s(X0)))
| r(s(s(s(X0))))
| p(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_793]) ).
cnf(c_7313,plain,
( ~ p(s(s(s(X0))))
| ~ ap(s(s(X0)))
| ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| pp(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_927]) ).
cnf(c_7314,plain,
( ~ qq(s(s(s(X0))))
| aq(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_197]) ).
cnf(c_7315,plain,
( ~ p(s(s(s(X0))))
| ~ r(s(s(X0)))
| p(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_775]) ).
cnf(c_7316,plain,
( ~ qq(s(s(s(X0))))
| ~ pp(s(s(X0)))
| ~ rr(s(s(X0)))
| qq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_1012]) ).
cnf(c_7342,plain,
( ~ q(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| qq(s(s(X0)))
| p(s(X0))
| rr(s(X0)) ),
inference(instantiation,[status(thm)],[c_797]) ).
cnf(c_7343,plain,
( ~ qq(s(X0))
| ~ r(s(X0))
| qq(s(s(X0)))
| p(s(X0))
| pp(s(X0))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_743]) ).
cnf(c_7344,plain,
( ~ qq(s(X0))
| qq(s(s(X0)))
| aq(s(X0)) ),
inference(instantiation,[status(thm)],[c_198]) ).
cnf(c_7348,plain,
( ~ rq(s(X0))
| rq(s(s(X0)))
| rpq3(s(X0))
| rpq4(s(X0)) ),
inference(instantiation,[status(thm)],[c_612]) ).
cnf(c_7414,plain,
( ~ ap(s(X0))
| aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_7418,plain,
( ~ ap(s(s(s(X0))))
| ~ aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7224]) ).
cnf(c_7430,plain,
( ~ ap(s(s(s(X0))))
| ~ ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7286]) ).
cnf(c_7441,plain,
( ~ qp(s(s(s(s(X0)))))
| qrp1(s(s(s(X0))))
| qrp2(s(s(s(X0))))
| qp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_620]) ).
cnf(c_7449,plain,
( ~ rr(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_256]) ).
cnf(c_7451,plain,
( ~ rr(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_911]) ).
cnf(c_7452,plain,
( ~ rr(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_7453,plain,
( ~ pp(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_7454,plain,
( ~ pp(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_1004]) ).
cnf(c_7455,plain,
( ~ q(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_988]) ).
cnf(c_7456,plain,
( ~ p(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_943]) ).
cnf(c_7469,plain,
( ~ rr(s(s(s(X0))))
| ar(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_255]) ).
cnf(c_7471,plain,
( ~ ap(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| rq(s(s(s(s(X0)))))
| pp(s(s(s(X0))))
| q(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7296]) ).
cnf(c_7472,plain,
( ~ qq(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7316]) ).
cnf(c_7473,plain,
( ~ rr(s(s(s(X0))))
| ~ pp(s(s(X0)))
| ~ qq(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7248]) ).
cnf(c_7531,plain,
( ~ qq(s(s(X0)))
| qq(s(s(s(X0))))
| aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7344]) ).
cnf(c_7565,plain,
( ~ p(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| pp(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7313]) ).
cnf(c_7570,plain,
( ~ rpq2(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_7572,plain,
( ~ qrp2(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_7574,plain,
( ~ rq(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| r(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_310]) ).
cnf(c_7576,plain,
( ~ qp(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| p(s(s(s(X0))))
| qq(s(s(s(X0))))
| r(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_7579,plain,
( ~ pr(s(s(s(s(X0)))))
| ~ aq(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| pp(s(s(s(X0))))
| q(s(s(s(X0))))
| qq(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_188]) ).
cnf(c_7583,plain,
( ~ aq(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| pp(s(s(s(X0))))
| qq(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_868]) ).
cnf(c_7590,plain,
( ~ p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| q(s(s(s(X0))))
| qq(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_719]) ).
cnf(c_7598,plain,
( ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(X0))))
| qq(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_781]) ).
cnf(c_7600,plain,
( ~ pp(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0))))
| q(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_615]) ).
cnf(c_7602,plain,
( ~ aq(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| pp(s(s(s(X0))))
| qq(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_866]) ).
cnf(c_7608,plain,
( ~ r(s(s(s(s(X0)))))
| ar(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_253]) ).
cnf(c_7611,plain,
( ~ qq(s(s(s(s(X0)))))
| ~ aq(s(s(s(X0))))
| p(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_643]) ).
cnf(c_7612,plain,
( ~ ap(s(s(s(X0))))
| p(s(s(s(s(X0)))))
| q(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_576]) ).
cnf(c_7613,plain,
( ~ r(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_970]) ).
cnf(c_7614,plain,
( ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_962]) ).
cnf(c_7616,plain,
( ~ r(s(s(s(s(X0)))))
| ~ p(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_863]) ).
cnf(c_7670,plain,
( ~ pp(s(s(X0)))
| ~ r(s(s(X0)))
| r(s(s(s(X0))))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_973]) ).
cnf(c_7672,plain,
( ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| r(s(s(s(X0))))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_856]) ).
cnf(c_7673,plain,
( ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| r(s(s(s(X0))))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_7674,plain,
( ~ r(s(s(X0)))
| r(s(s(s(X0))))
| pp(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_786]) ).
cnf(c_7676,plain,
( ~ ar(s(s(X0)))
| r(s(s(s(X0))))
| p(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_579]) ).
cnf(c_7677,plain,
( ~ r(s(s(X0)))
| r(s(s(s(X0))))
| ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_7699,plain,
( ~ ap(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| pp(s(s(s(X0))))
| q(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7304]) ).
cnf(c_7743,plain,
( ~ ap(s(s(s(X0))))
| aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7414]) ).
cnf(c_7748,plain,
( ~ aq(s(s(X0)))
| ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7226]) ).
cnf(c_7759,plain,
( ~ qq(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| pp(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7343]) ).
cnf(c_7760,plain,
( ~ p(s(s(s(s(X0)))))
| ap(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7270]) ).
cnf(c_7762,plain,
( ~ p(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7250]) ).
cnf(c_7763,plain,
( ~ ap(s(s(X0)))
| ~ qq(s(s(X0)))
| p(s(s(s(X0))))
| pp(s(s(X0)))
| q(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_812]) ).
cnf(c_7769,plain,
( ~ pp(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| q(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7311]) ).
cnf(c_7770,plain,
( ~ ar(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| qq(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7308]) ).
cnf(c_7771,plain,
( ~ p(s(s(s(s(X0)))))
| ~ r(s(s(s(X0))))
| p(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7315]) ).
cnf(c_7772,plain,
( ~ r(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7312]) ).
cnf(c_7773,plain,
( ~ rr(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0))))
| p(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7283]) ).
cnf(c_7774,plain,
( ~ p(s(s(X0)))
| p(s(s(s(X0))))
| ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7269]) ).
cnf(c_7775,plain,
( ~ p(s(s(X0)))
| p(s(s(s(X0))))
| q(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7238]) ).
cnf(c_7776,plain,
( ~ p(s(s(X0)))
| ~ pp(s(s(X0)))
| p(s(s(s(X0))))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7245]) ).
cnf(c_7787,plain,
( ~ pp(s(s(s(s(X0)))))
| ap(s(s(s(X0))))
| pp(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7268]) ).
cnf(c_7788,plain,
( ~ ap(s(s(X0)))
| ~ r(s(s(X0)))
| pp(s(s(s(X0))))
| pp(s(s(X0)))
| q(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_810]) ).
cnf(c_7792,plain,
( ~ pp(s(s(X0)))
| pp(s(s(s(X0))))
| ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7267]) ).
cnf(c_7793,plain,
( ~ p(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ r(s(s(X0)))
| pp(s(s(s(X0))))
| q(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7244]) ).
cnf(c_7997,plain,
( ~ rq(s(s(s(X0))))
| rq(s(s(s(s(X0)))))
| rpq3(s(s(s(X0))))
| rpq4(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7348]) ).
cnf(c_7998,plain,
( ~ rq(s(s(s(X0))))
| ~ ap(s(s(X0)))
| ~ qq(s(s(X0)))
| ~ r(s(s(X0)))
| p(s(s(X0)))
| pp(s(s(X0)))
| q(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_304]) ).
cnf(c_8001,plain,
( ~ rq(s(s(s(X0))))
| rpq1(s(s(X0)))
| rpq2(s(s(X0)))
| rq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7260]) ).
cnf(c_8024,plain,
( ~ rr(s(s(s(s(X0)))))
| ar(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7469]) ).
cnf(c_8118,plain,
( ~ r(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7677]) ).
cnf(c_8131,plain,
( ~ qp(s(s(s(X0))))
| qrp1(s(s(X0)))
| qrp2(s(s(X0)))
| qp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_620]) ).
cnf(c_8134,plain,
( qp(s(s(X0)))
| rq(s(s(X0)))
| pr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7262]) ).
cnf(c_8150,plain,
( ~ r(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7616]) ).
cnf(c_8170,plain,
( ~ r(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7598]) ).
cnf(c_8265,plain,
( ~ pp(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7670]) ).
cnf(c_8307,plain,
( ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7672]) ).
cnf(c_8310,plain,
( ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7673]) ).
cnf(c_8342,plain,
( ~ ar(s(s(s(X0))))
| r(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7676]) ).
cnf(c_8440,plain,
( ~ aq(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| pr(s(s(s(s(s(X0))))))
| p(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7299]) ).
cnf(c_8441,plain,
( ~ aq(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7307]) ).
cnf(c_8442,plain,
( ~ aq(s(s(s(s(X0)))))
| ~ pp(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| p(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7305]) ).
cnf(c_8443,plain,
( ~ aq(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7303]) ).
cnf(c_8444,plain,
( ~ aq(s(s(s(s(X0)))))
| ~ ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7284]) ).
cnf(c_8450,plain,
( ~ aq(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7583]) ).
cnf(c_8452,plain,
( ~ aq(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| qq(s(s(s(s(s(X0))))))
| pp(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7602]) ).
cnf(c_8453,plain,
( ~ qq(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7611]) ).
cnf(c_8456,plain,
( ~ ap(s(s(s(s(X0)))))
| ~ aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7418]) ).
cnf(c_8467,plain,
( ~ aq(s(s(s(s(X0)))))
| ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7748]) ).
cnf(c_8749,plain,
( ~ q(s(s(s(X0))))
| ~ rpq3(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_8750,plain,
( ~ ar(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| qp(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| pp(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_249]) ).
cnf(c_8753,plain,
( ~ pp(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_991]) ).
cnf(c_8754,plain,
( ~ q(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_875]) ).
cnf(c_8756,plain,
( ~ p(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| pp(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_924]) ).
cnf(c_8757,plain,
( ~ q(s(s(s(X0))))
| q(s(s(s(s(X0)))))
| aq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_8758,plain,
( ~ p(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| p(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_768]) ).
cnf(c_8759,plain,
( ~ p(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_936]) ).
cnf(c_8761,plain,
( ~ p(s(s(s(s(X0)))))
| ~ pp(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_835]) ).
cnf(c_8762,plain,
( ~ r(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_670]) ).
cnf(c_8763,plain,
( ~ rr(s(s(s(s(X0)))))
| ~ ar(s(s(s(X0))))
| ~ p(s(s(s(X0))))
| ~ q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_668]) ).
cnf(c_8765,plain,
( ~ pp(s(s(s(s(X0)))))
| ~ ap(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_663]) ).
cnf(c_8766,plain,
( ~ p(s(s(s(s(X0)))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_647]) ).
cnf(c_8785,plain,
( ~ q(s(s(s(X0))))
| ~ qq(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| qq(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7342]) ).
cnf(c_8786,plain,
( ~ q(s(s(s(X0))))
| ~ p(s(s(X0)))
| q(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_803]) ).
cnf(c_8788,plain,
( ~ q(s(s(s(X0))))
| aq(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_195]) ).
cnf(c_8789,plain,
( ~ q(s(s(s(X0))))
| ~ qq(s(s(X0)))
| ~ r(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_8795,plain,
( ~ q(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7310]) ).
cnf(c_8796,plain,
( ~ ar(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| rr(s(s(s(s(X0)))))
| p(s(s(s(X0))))
| qq(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7309]) ).
cnf(c_8797,plain,
( ~ pr(s(s(s(s(X0)))))
| ~ aq(s(s(s(X0))))
| ~ q(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| ~ rr(s(s(s(X0))))
| p(s(s(s(X0))))
| pp(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7298]) ).
cnf(c_8798,plain,
( ~ q(s(s(s(X0))))
| ~ p(s(s(X0)))
| ~ pp(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7249]) ).
cnf(c_8799,plain,
( ~ q(s(s(s(X0))))
| ~ p(s(s(X0)))
| ~ r(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7232]) ).
cnf(c_9145,plain,
( qp(s(s(s(s(X0)))))
| rq(s(s(s(s(X0)))))
| pr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8134]) ).
cnf(c_9236,plain,
( ~ qrp2(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_9240,plain,
( ~ qp(s(s(s(X0))))
| ~ ar(s(s(X0)))
| ~ pp(s(s(X0)))
| ~ q(s(s(X0)))
| p(s(s(X0)))
| qq(s(s(X0)))
| r(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_246]) ).
cnf(c_9244,plain,
( ~ ap(s(s(X0)))
| ~ q(s(s(X0)))
| pp(s(s(s(X0))))
| pp(s(s(X0)))
| r(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_9250,plain,
( ~ p(s(s(X0)))
| ~ q(s(s(X0)))
| ~ qq(s(s(X0)))
| qq(s(s(s(X0))))
| pp(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_804]) ).
cnf(c_9254,plain,
( ~ p(s(s(X0)))
| ~ rr(s(s(X0)))
| rr(s(s(s(X0))))
| q(s(s(X0)))
| qq(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_719]) ).
cnf(c_9255,plain,
( ~ pp(s(s(X0)))
| ~ q(s(s(X0)))
| pp(s(s(s(X0))))
| p(s(s(X0)))
| r(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_695]) ).
cnf(c_9257,plain,
( ~ q(s(s(X0)))
| ~ qq(s(s(X0)))
| q(s(s(s(X0))))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_884]) ).
cnf(c_9259,plain,
( ~ q(s(s(X0)))
| q(s(s(s(X0))))
| pp(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_807]) ).
cnf(c_9260,plain,
( ~ p(s(s(X0)))
| ~ rr(s(s(X0)))
| p(s(s(s(X0))))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_939]) ).
cnf(c_9263,plain,
( ~ p(s(s(X0)))
| p(s(s(s(X0))))
| qq(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_772]) ).
cnf(c_9265,plain,
( ~ q(s(s(X0)))
| q(s(s(s(X0))))
| p(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_596]) ).
cnf(c_9268,plain,
( ~ p(s(s(X0)))
| p(s(s(s(X0))))
| q(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_584]) ).
cnf(c_9280,plain,
( ~ r(s(s(s(X0))))
| ~ p(s(s(X0)))
| ~ rr(s(s(X0)))
| r(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_863]) ).
cnf(c_9334,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| r(s(s(X0)))
| p(s(X0)) ),
inference(instantiation,[status(thm)],[c_973]) ).
cnf(c_9335,plain,
( ~ qq(s(X0))
| ~ r(s(X0))
| r(s(s(X0)))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_965]) ).
cnf(c_9336,plain,
( ~ r(s(X0))
| ~ rr(s(X0))
| r(s(s(X0)))
| p(s(X0)) ),
inference(instantiation,[status(thm)],[c_856]) ).
cnf(c_9339,plain,
( ~ r(s(X0))
| r(s(s(X0)))
| p(s(X0))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_590]) ).
cnf(c_9341,plain,
( ~ r(s(X0))
| r(s(s(X0)))
| ar(s(X0)) ),
inference(instantiation,[status(thm)],[c_254]) ).
cnf(c_9368,plain,
( ~ pp(s(s(s(s(s(X0))))))
| ap(s(s(s(s(X0)))))
| pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7787]) ).
cnf(c_9369,plain,
( ~ p(s(s(s(s(s(X0))))))
| ap(s(s(s(s(X0)))))
| p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7760]) ).
cnf(c_9371,plain,
( ~ ar(s(s(s(X0))))
| ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7285]) ).
cnf(c_9494,plain,
( ~ qp(s(s(s(s(s(X0))))))
| qrp1(s(s(s(s(X0)))))
| qrp2(s(s(s(s(X0)))))
| qp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8131]) ).
cnf(c_9499,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7301]) ).
cnf(c_9831,plain,
( ~ ap(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| pp(s(s(s(X0))))
| q(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7788]) ).
cnf(c_9862,plain,
( ~ ar(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7770]) ).
cnf(c_9863,plain,
( ~ qp(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7576]) ).
cnf(c_9864,plain,
( ~ ar(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8342]) ).
cnf(c_9866,plain,
( ~ rr(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7773]) ).
cnf(c_9870,plain,
( ~ rr(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7452]) ).
cnf(c_9871,plain,
( ~ rr(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7451]) ).
cnf(c_9872,plain,
( ~ ap(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7430]) ).
cnf(c_9885,plain,
( ~ aq(s(s(s(s(s(X0))))))
| ~ ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8444]) ).
cnf(c_9921,plain,
( ~ ar(s(s(s(s(s(X0))))))
| ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9371]) ).
cnf(c_9944,plain,
( ~ r(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8762]) ).
cnf(c_9947,plain,
( ~ qq(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7531]) ).
cnf(c_9948,plain,
( ~ rr(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7473]) ).
cnf(c_9949,plain,
( ~ qq(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7230]) ).
cnf(c_9955,plain,
( ~ r(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7613]) ).
cnf(c_9956,plain,
( ~ qq(s(s(s(s(s(X0))))))
| aq(s(s(s(s(X0)))))
| qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7314]) ).
cnf(c_9960,plain,
( ~ qq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7472]) ).
cnf(c_9982,plain,
( ~ rr(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8763]) ).
cnf(c_10045,plain,
( ~ pp(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8765]) ).
cnf(c_10047,plain,
( ~ p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8766]) ).
cnf(c_10049,plain,
( ~ q(s(s(s(s(X0)))))
| ~ qq(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8789]) ).
cnf(c_10051,plain,
( ~ q(s(s(s(s(X0)))))
| ~ p(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8798]) ).
cnf(c_10053,plain,
( ~ q(s(s(s(s(X0)))))
| ~ p(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8799]) ).
cnf(c_10068,plain,
( ~ p(s(s(s(X0))))
| ~ pp(s(s(s(X0))))
| ~ r(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| q(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7793]) ).
cnf(c_10071,plain,
( ~ pp(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| pp(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7454]) ).
cnf(c_10072,plain,
( ~ pp(s(s(s(X0))))
| pp(s(s(s(s(X0)))))
| ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7792]) ).
cnf(c_10118,plain,
( ~ p(s(s(s(s(s(X0))))))
| ~ ap(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8756]) ).
cnf(c_10120,plain,
( ~ p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8758]) ).
cnf(c_10192,plain,
( ~ qp(s(s(s(s(X0)))))
| ~ rq(s(s(s(s(X0)))))
| ~ pr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_138]) ).
cnf(c_10193,plain,
( ~ pr(s(s(s(s(X0)))))
| pr(s(s(s(s(s(X0))))))
| pqr3(s(s(s(s(X0)))))
| pqr4(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_640]) ).
cnf(c_10196,plain,
( ~ pr(s(s(s(s(X0)))))
| pqr1(s(s(s(X0))))
| pqr2(s(s(s(X0))))
| pr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_634]) ).
cnf(c_10269,plain,
( ~ pr(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0)))))
| ~ p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| qq(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7579]) ).
cnf(c_10604,plain,
( ~ q(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9259]) ).
cnf(c_10606,plain,
( ~ p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9250]) ).
cnf(c_10607,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9257]) ).
cnf(c_10629,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8786]) ).
cnf(c_10631,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8754]) ).
cnf(c_10635,plain,
( ~ q(s(s(s(s(s(X0))))))
| aq(s(s(s(s(X0)))))
| q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8788]) ).
cnf(c_10636,plain,
( ~ q(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8757]) ).
cnf(c_10688,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8785]) ).
cnf(c_10690,plain,
( ~ ar(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| qp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8750]) ).
cnf(c_10695,plain,
( ~ ar(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8796]) ).
cnf(c_10718,plain,
( ~ ap(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9244]) ).
cnf(c_10735,plain,
( ~ pp(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9255]) ).
cnf(c_10737,plain,
( ~ pr(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8797]) ).
cnf(c_10817,plain,
( ~ ap(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| pp(s(s(s(s(s(X0))))))
| pp(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9831]) ).
cnf(c_10837,plain,
( ~ ap(s(s(s(s(X0)))))
| aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7743]) ).
cnf(c_10848,plain,
( ~ ap(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8456]) ).
cnf(c_10852,plain,
( ~ ap(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9872]) ).
cnf(c_11051,plain,
( ~ r(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9339]) ).
cnf(c_11052,plain,
( ~ r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9336]) ).
cnf(c_11053,plain,
( ~ pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9334]) ).
cnf(c_11079,plain,
( ~ p(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9268]) ).
cnf(c_11080,plain,
( ~ p(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9263]) ).
cnf(c_11081,plain,
( ~ p(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9260]) ).
cnf(c_11083,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8761]) ).
cnf(c_11084,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8759]) ).
cnf(c_11085,plain,
( ~ pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7769]) ).
cnf(c_11094,plain,
( ~ r(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7772]) ).
cnf(c_11098,plain,
( ~ p(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7775]) ).
cnf(c_11099,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7771]) ).
cnf(c_11100,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7762]) ).
cnf(c_11101,plain,
( ~ p(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7774]) ).
cnf(c_11102,plain,
( ~ ap(s(s(s(s(X0)))))
| ~ qq(s(s(s(s(X0)))))
| p(s(s(s(s(s(X0))))))
| pp(s(s(s(s(X0)))))
| q(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7763]) ).
cnf(c_11103,plain,
( ~ qq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7759]) ).
cnf(c_11124,plain,
( ~ aq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8442]) ).
cnf(c_11125,plain,
( ~ aq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8441]) ).
cnf(c_11126,plain,
( ~ aq(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| pr(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8440]) ).
cnf(c_11130,plain,
( ~ qq(s(s(s(s(s(s(X0)))))))
| ~ aq(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8453]) ).
cnf(c_11131,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9369]) ).
cnf(c_11434,plain,
( ~ pp(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10045]) ).
cnf(c_11436,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10047]) ).
cnf(c_11438,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10049]) ).
cnf(c_11615,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10118]) ).
cnf(c_11661,plain,
( ~ qq(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9956]) ).
cnf(c_11671,plain,
( ~ pp(s(s(s(s(X0)))))
| pp(s(s(s(s(s(X0))))))
| ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_10072]) ).
cnf(c_11705,plain,
( ~ q(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10635]) ).
cnf(c_11797,plain,
( ~ rpq1(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_11799,plain,
( ~ rpq1(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_114]) ).
cnf(c_11800,plain,
( ~ pp(s(s(X0)))
| ~ rpq1(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_11808,plain,
( ~ rpq1(s(s(X0)))
| ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7266]) ).
cnf(c_11810,plain,
( ~ rq(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ q(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7574]) ).
cnf(c_11813,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10120]) ).
cnf(c_11898,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10068]) ).
cnf(c_11900,plain,
( ~ rr(s(s(s(s(s(s(s(X0))))))))
| ar(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8024]) ).
cnf(c_11908,plain,
( ~ rr(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(s(X0)))))))
| ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7449]) ).
cnf(c_11913,plain,
( ~ rr(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9948]) ).
cnf(c_12532,plain,
( ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10629]) ).
cnf(c_12677,plain,
( ~ ap(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10718]) ).
cnf(c_12718,plain,
( ~ ap(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10817]) ).
cnf(c_12742,plain,
( ~ ap(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10837]) ).
cnf(c_12781,plain,
( ~ aq(s(s(s(s(s(X0))))))
| ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_8467]) ).
cnf(c_13013,plain,
( ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11434]) ).
cnf(c_13051,plain,
( ~ q(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_11438]) ).
cnf(c_13544,plain,
( ~ rr(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(s(X0))))))))
| ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11908]) ).
cnf(c_13546,plain,
( ~ rpq2(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_118]) ).
cnf(c_13548,plain,
( ~ q(s(s(X0)))
| ~ rpq2(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_121]) ).
cnf(c_13549,plain,
( ~ pp(s(s(X0)))
| ~ rpq2(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_13550,plain,
( ~ rpq2(s(s(X0)))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_119]) ).
cnf(c_13556,plain,
( ~ rpq2(s(s(X0)))
| ap(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7265]) ).
cnf(c_13558,plain,
( ~ rq(s(s(s(s(X0)))))
| rpq1(s(s(s(X0))))
| rpq2(s(s(s(X0))))
| rq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_8001]) ).
cnf(c_13706,plain,
( ~ q(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10604]) ).
cnf(c_13707,plain,
( ~ q(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(s(X0))))))))
| aq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10636]) ).
cnf(c_13769,plain,
( ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11615]) ).
cnf(c_14085,plain,
( ~ pp(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11671]) ).
cnf(c_14087,plain,
( ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ rr(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9960]) ).
cnf(c_14097,plain,
( ~ pp(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10071]) ).
cnf(c_14100,plain,
( ~ pp(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9368]) ).
cnf(c_14109,plain,
( ~ rq(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(s(X0)))))))
| rpq3(s(s(s(s(s(X0))))))
| rpq4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7997]) ).
cnf(c_14110,plain,
( qp(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(X0)))))))
| pr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9145]) ).
cnf(c_14156,plain,
( ~ pqr3(s(s(s(s(X0)))))
| aq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_14159,plain,
( ~ qq(s(s(s(s(X0)))))
| ~ pqr3(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_14173,plain,
( ~ pr(s(s(s(s(s(s(X0)))))))
| pqr1(s(s(s(s(s(X0))))))
| pqr2(s(s(s(s(s(X0))))))
| pr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10196]) ).
cnf(c_14221,plain,
( ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| pr(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11126]) ).
cnf(c_14222,plain,
( ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11125]) ).
cnf(c_14223,plain,
( ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11124]) ).
cnf(c_14225,plain,
( ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11130]) ).
cnf(c_14230,plain,
( ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_9885]) ).
cnf(c_14243,plain,
( ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10848]) ).
cnf(c_14253,plain,
( ~ aq(s(s(s(s(s(s(s(X0))))))))
| ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12781]) ).
cnf(c_14305,plain,
( ~ pqr3(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_14156]) ).
cnf(c_14535,plain,
( ~ qq(s(s(s(s(s(X0))))))
| ~ pqr3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_14159]) ).
cnf(c_15016,plain,
( ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11813]) ).
cnf(c_15017,plain,
( ~ ap(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11102]) ).
cnf(c_15018,plain,
( ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11099]) ).
cnf(c_15020,plain,
( ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11085]) ).
cnf(c_15021,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11098]) ).
cnf(c_15024,plain,
( ~ r(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11094]) ).
cnf(c_15025,plain,
( ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11053]) ).
cnf(c_15026,plain,
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11052]) ).
cnf(c_15027,plain,
( ~ r(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11051]) ).
cnf(c_15035,plain,
( ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11436]) ).
cnf(c_15038,plain,
( ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11084]) ).
cnf(c_15039,plain,
( ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11131]) ).
cnf(c_15040,plain,
( ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11083]) ).
cnf(c_15042,plain,
( ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10735]) ).
cnf(c_15044,plain,
( ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10695]) ).
cnf(c_15046,plain,
( ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| qp(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10690]) ).
cnf(c_15047,plain,
( ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10688]) ).
cnf(c_15049,plain,
( ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_9862]) ).
cnf(c_15051,plain,
( ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10631]) ).
cnf(c_15224,plain,
( ~ qp(s(s(s(s(s(s(X0)))))))
| ~ ar(s(s(s(s(s(X0))))))
| ~ p(s(s(s(s(s(X0))))))
| ~ pp(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| qq(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7297]) ).
cnf(c_15227,plain,
( ~ qp(s(s(s(s(s(s(X0)))))))
| ~ rq(s(s(s(s(s(s(X0)))))))
| ~ pr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10192]) ).
cnf(c_15228,plain,
( ~ qp(s(s(s(s(s(s(X0)))))))
| qrp1(s(s(s(s(s(X0))))))
| qrp2(s(s(s(s(s(X0))))))
| qp(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7441]) ).
cnf(c_15240,plain,
( ~ pp(s(s(s(X0))))
| ~ rpq1(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_11800]) ).
cnf(c_15241,plain,
( ~ rpq1(s(s(s(X0))))
| q(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_11799]) ).
cnf(c_15243,plain,
( ~ rpq1(s(s(s(X0))))
| rr(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_11797]) ).
cnf(c_15245,plain,
( ~ rpq1(s(s(s(X0))))
| ap(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_11808]) ).
cnf(c_15480,plain,
( ~ rq(s(s(s(s(X0)))))
| rq(s(s(s(s(s(X0))))))
| rpq3(s(s(s(s(X0)))))
| rpq4(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7997]) ).
cnf(c_15481,plain,
( qp(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(X0))))))
| pr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_9145]) ).
cnf(c_15492,plain,
( ~ qp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_9863]) ).
cnf(c_15508,plain,
( ~ pp(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_14085]) ).
cnf(c_15510,plain,
( ~ ar(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_9921]) ).
cnf(c_15533,plain,
( ~ pp(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_14100]) ).
cnf(c_15747,plain,
( ~ ap(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_10852]) ).
cnf(c_15755,plain,
( ~ aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_14230]) ).
cnf(c_15759,plain,
( ~ pr(s(s(s(s(s(X0))))))
| pr(s(s(s(s(s(s(X0)))))))
| pqr3(s(s(s(s(s(X0))))))
| pqr4(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_10193]) ).
cnf(c_15838,plain,
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_15510]) ).
cnf(c_15848,plain,
( ~ rpq1(s(s(s(s(X0)))))
| ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_15245]) ).
cnf(c_16009,plain,
( ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| aq(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11661]) ).
cnf(c_16021,plain,
( ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_14087]) ).
cnf(c_16023,plain,
( ~ qq(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| aq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9947]) ).
cnf(c_16024,plain,
( ~ p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_10606]) ).
cnf(c_16832,plain,
( ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15533]) ).
cnf(c_16849,plain,
( ~ rq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ p(s(s(s(s(s(s(X0)))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11810]) ).
cnf(c_17152,plain,
( ~ rq(s(s(s(s(s(X0))))))
| rpq1(s(s(s(s(X0)))))
| rpq2(s(s(s(s(X0)))))
| rq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13558]) ).
cnf(c_18638,plain,
( qp(s(s(s(s(s(s(s(s(X0)))))))))
| rq(s(s(s(s(s(s(s(s(X0)))))))))
| pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15481]) ).
cnf(c_18640,plain,
( ~ rq(s(s(s(s(s(s(s(X0))))))))
| rq(s(s(s(s(s(s(s(s(X0)))))))))
| rpq3(s(s(s(s(s(s(s(X0))))))))
| rpq4(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_14109]) ).
cnf(c_18672,plain,
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15044]) ).
cnf(c_18776,plain,
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15049]) ).
cnf(c_18787,plain,
( ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15046]) ).
cnf(c_18819,plain,
( ~ ap(s(s(s(s(s(s(s(X0))))))))
| aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_12742]) ).
cnf(c_18849,plain,
( ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_14243]) ).
cnf(c_18860,plain,
( ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_15747]) ).
cnf(c_18934,plain,
( ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16021]) ).
cnf(c_18949,plain,
( ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_16009]) ).
cnf(c_18964,plain,
( ~ qq(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_16023]) ).
cnf(c_19101,plain,
( ~ pr(s(s(s(s(s(s(s(s(X0)))))))))
| pqr1(s(s(s(s(s(s(s(X0))))))))
| pqr2(s(s(s(s(s(s(s(X0))))))))
| pr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_14173]) ).
cnf(c_19102,plain,
( ~ pr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ rr(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_10737]) ).
cnf(c_19133,plain,
( ~ pr(s(s(s(s(s(s(s(s(X0)))))))))
| pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pqr3(s(s(s(s(s(s(s(s(X0)))))))))
| pqr4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15759]) ).
cnf(c_19280,plain,
( ~ rq(s(s(s(s(s(s(X0)))))))
| rpq1(s(s(s(s(s(X0))))))
| rpq2(s(s(s(s(s(X0))))))
| rq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_17152]) ).
cnf(c_19297,plain,
( ~ qrp1(s(s(s(X0))))
| ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_19298,plain,
( ~ pp(s(s(s(X0))))
| ~ qrp1(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_19299,plain,
( ~ qrp1(s(s(s(X0))))
| p(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_19300,plain,
( ~ rr(s(s(s(X0))))
| ~ qrp1(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_19302,plain,
( ~ q(s(s(s(X0))))
| ~ qrp1(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_82]) ).
cnf(c_19860,plain,
( ~ rq(s(s(s(s(s(s(X0)))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| rpq3(s(s(s(s(s(s(X0)))))))
| rpq4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_14109]) ).
cnf(c_19861,plain,
( qp(s(s(s(s(s(s(s(X0))))))))
| rq(s(s(s(s(s(s(s(X0))))))))
| pr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_14110]) ).
cnf(c_20099,plain,
( ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ar(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_13544]) ).
cnf(c_20111,plain,
( ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15026]) ).
cnf(c_20113,plain,
( ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ar(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11900]) ).
cnf(c_20114,plain,
( ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11913]) ).
cnf(c_20386,plain,
( ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18819]) ).
cnf(c_20409,plain,
( ~ aq(s(s(s(s(s(s(s(s(X0)))))))))
| ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_14253]) ).
cnf(c_20434,plain,
( ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_16832]) ).
cnf(c_20440,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(X0))))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18787]) ).
cnf(c_20446,plain,
( ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15042]) ).
cnf(c_20447,plain,
( ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15508]) ).
cnf(c_20536,plain,
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_13707]) ).
cnf(c_20545,plain,
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15051]) ).
cnf(c_20614,plain,
( ~ r(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_8118]) ).
cnf(c_20631,plain,
( ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ aq(s(s(s(s(s(s(s(X0))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_9949]) ).
cnf(c_20638,plain,
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ar(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_7608]) ).
cnf(c_20662,plain,
( ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ ap(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_13013]) ).
cnf(c_20666,plain,
( ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(s(X0))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_11898]) ).
cnf(c_20669,plain,
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ q(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_9955]) ).
cnf(c_20974,plain,
( ~ rq(s(s(s(s(s(s(s(s(X0)))))))))
| rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq3(s(s(s(s(s(s(s(s(X0)))))))))
| rpq4(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18640]) ).
cnf(c_21041,plain,
( ~ qp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15227]) ).
cnf(c_21148,plain,
( ~ q(s(s(s(s(X0)))))
| ~ qrp1(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19302]) ).
cnf(c_21150,plain,
( ~ rr(s(s(s(s(X0)))))
| ~ qrp1(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19300]) ).
cnf(c_21151,plain,
( ~ qrp1(s(s(s(s(X0)))))
| p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19299]) ).
cnf(c_21153,plain,
( ~ qrp1(s(s(s(s(X0)))))
| ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_19297]) ).
cnf(c_21423,plain,
( ~ qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp1(s(s(s(s(s(s(s(s(X0)))))))))
| qrp2(s(s(s(s(s(s(s(s(X0)))))))))
| qp(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15228]) ).
cnf(c_21462,plain,
( ~ rq(s(s(s(s(s(s(s(s(X0)))))))))
| rpq1(s(s(s(s(s(s(s(X0))))))))
| rpq2(s(s(s(s(s(s(s(X0))))))))
| rq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_19280]) ).
cnf(c_21768,plain,
( ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15025]) ).
cnf(c_21928,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_15755]) ).
cnf(c_21938,plain,
( ~ ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_18849]) ).
cnf(c_21987,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_20409]) ).
cnf(c_22558,plain,
( ~ qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15224]) ).
cnf(c_22734,plain,
( ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20111]) ).
cnf(c_22736,plain,
( ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ar(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_20113]) ).
cnf(c_22737,plain,
( ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20099]) ).
cnf(c_22739,plain,
( ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_20114]) ).
cnf(c_22749,plain,
( ~ ar(s(X0))
| ~ ap(X0) ),
inference(superposition,[status(thm)],[c_140,c_52]) ).
cnf(c_22750,plain,
( ~ ar(s(a))
| ~ ap(a) ),
inference(instantiation,[status(thm)],[c_22749]) ).
cnf(c_22751,plain,
( ~ ar(s(X0))
| ~ ar(X0) ),
inference(superposition,[status(thm)],[c_142,c_51]) ).
cnf(c_22752,plain,
( ~ aq(s(X0))
| ~ ar(X0) ),
inference(superposition,[status(thm)],[c_142,c_50]) ).
cnf(c_22773,plain,
( ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18934]) ).
cnf(c_22939,plain,
( ~ pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ ap(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20662]) ).
cnf(c_23223,plain,
( ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0))))))))
| r(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_20669]) ).
cnf(c_23495,plain,
( ~ qrp2(s(s(s(s(X0)))))
| ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_23496,plain,
( ~ rr(s(s(s(s(X0)))))
| ~ qrp2(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_23497,plain,
( ~ qrp2(s(s(s(s(X0)))))
| q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_23499,plain,
( ~ p(s(s(s(s(X0)))))
| ~ qrp2(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_23505,plain,
( ~ qrp2(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_9236]) ).
cnf(c_23510,plain,
( ~ rpq2(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(superposition,[status(thm)],[c_198,c_122]) ).
cnf(c_23511,plain,
( ~ rpq1(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(superposition,[status(thm)],[c_198,c_115]) ).
cnf(c_23662,plain,
( ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_18964]) ).
cnf(c_23691,plain,
( ~ pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20434]) ).
cnf(c_23817,plain,
( ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20536]) ).
cnf(c_23886,plain,
( ~ r(s(s(s(s(s(s(s(s(s(X0))))))))))
| r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20614]) ).
cnf(c_25297,plain,
( ~ qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ ar(s(s(s(s(s(s(s(s(X0)))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0)))))))))
| r(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15492]) ).
cnf(c_25466,plain,
( ~ rpq1(s(X0))
| ~ r(X0)
| ar(X0) ),
inference(superposition,[status(thm)],[c_254,c_110]) ).
cnf(c_25648,plain,
( qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| pr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_18638]) ).
cnf(c_25666,plain,
( ~ qrp1(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21151]) ).
cnf(c_25669,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ qrp1(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21148]) ).
cnf(c_25671,plain,
( ~ qrp1(s(s(s(s(s(X0))))))
| ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_21153]) ).
cnf(c_25762,plain,
( ~ rpq3(s(s(s(s(s(X0))))))
| ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7264]) ).
cnf(c_25763,plain,
( ~ pp(s(s(s(s(s(X0))))))
| ~ rpq3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7258]) ).
cnf(c_25772,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ rpq3(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8749]) ).
cnf(c_25800,plain,
( ~ q(s(s(s(s(X0)))))
| ~ rpq2(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13548]) ).
cnf(c_25802,plain,
( ~ rpq2(s(s(s(s(X0)))))
| rr(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13546]) ).
cnf(c_25803,plain,
( ~ rpq2(s(s(s(s(X0)))))
| ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_13556]) ).
cnf(c_25810,plain,
( ~ rpq2(s(s(s(s(X0)))))
| r(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7570]) ).
cnf(c_26323,plain,
( ~ rpq1(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(superposition,[status(thm)],[c_312,c_112]) ).
cnf(c_26449,plain,
( ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_20440]) ).
cnf(c_26455,plain,
( ~ ap(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_18860]) ).
cnf(c_26466,plain,
( ~ aq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ ar(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_21928]) ).
cnf(c_27009,plain,
( ~ p(s(s(s(X0))))
| ~ pp(s(s(X0)))
| ~ r(s(s(X0)))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7250]) ).
cnf(c_27956,plain,
( ~ qq(s(s(X0)))
| ~ aq(s(X0))
| ~ pp(s(X0))
| ~ q(s(X0))
| ~ qq(s(X0))
| r(s(X0)) ),
inference(instantiation,[status(thm)],[c_921]) ).
cnf(c_28074,plain,
( ~ r(s(s(X0)))
| ar(s(X0))
| r(s(X0)) ),
inference(instantiation,[status(thm)],[c_253]) ).
cnf(c_28085,plain,
( ~ pp(s(s(s(X0))))
| ap(s(s(X0)))
| pp(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_7268]) ).
cnf(c_28209,plain,
( ~ qq(s(s(s(s(s(s(s(X0))))))))
| aq(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11661]) ).
cnf(c_28214,plain,
( ~ q(s(s(s(s(s(s(s(X0))))))))
| aq(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11705]) ).
cnf(c_28381,plain,
( ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_23662]) ).
cnf(c_28575,plain,
( ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| r(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_23886]) ).
cnf(c_28887,plain,
( ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_15038]) ).
cnf(c_28889,plain,
( ~ p(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_15035]) ).
cnf(c_29872,plain,
( ~ r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_8310]) ).
cnf(c_29972,plain,
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_12532]) ).
cnf(c_30032,plain,
( ~ qrp2(s(s(s(s(s(X0))))))
| r(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23505]) ).
cnf(c_30033,plain,
( ~ p(s(s(s(s(s(X0))))))
| ~ qrp2(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23499]) ).
cnf(c_30035,plain,
( ~ qrp2(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23497]) ).
cnf(c_30036,plain,
( ~ rr(s(s(s(s(s(X0))))))
| ~ qrp2(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23496]) ).
cnf(c_30037,plain,
( ~ qrp2(s(s(s(s(s(X0))))))
| ar(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_23495]) ).
cnf(c_30046,plain,
( ~ rpq1(s(X0))
| ~ r(X0)
| p(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_590,c_110]) ).
cnf(c_30073,plain,
( ~ pqr4(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_30074,plain,
( ~ pqr4(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_30598,plain,
( ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| q(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_20545]) ).
cnf(c_31236,plain,
( ~ p(s(s(X0)))
| ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| rr(s(s(s(X0))))
| pp(s(s(X0)))
| q(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_783]) ).
cnf(c_31237,plain,
( ~ rr(s(s(X0)))
| rr(s(s(s(X0))))
| ar(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_256]) ).
cnf(c_31244,plain,
( ~ p(s(s(s(X0))))
| ~ r(s(s(X0)))
| ~ rr(s(s(X0)))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_943]) ).
cnf(c_31245,plain,
( ~ pqr1(s(s(X0)))
| ~ rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_31258,plain,
( ~ rr(s(s(X0)))
| ar(s(X0))
| rr(s(X0)) ),
inference(instantiation,[status(thm)],[c_255]) ).
cnf(c_31311,plain,
( ~ qq(s(s(X0)))
| ~ aq(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| q(s(X0))
| r(s(X0)) ),
inference(instantiation,[status(thm)],[c_879]) ).
cnf(c_31354,plain,
( ~ rpq1(s(X0))
| ~ p(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_772,c_112]) ).
cnf(c_31955,plain,
( ~ q(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| q(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7455]) ).
cnf(c_32455,plain,
( ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15038]) ).
cnf(c_32603,plain,
( ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15040]) ).
cnf(c_33875,plain,
( ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15039]) ).
cnf(c_34240,plain,
( ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_22736]) ).
cnf(c_35091,plain,
( ~ rq(s(s(s(s(s(s(X0)))))))
| ~ ap(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0))))))
| rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7998]) ).
cnf(c_35526,plain,
( ~ p(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15016]) ).
cnf(c_37886,plain,
( ~ rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq1(s(s(s(s(s(s(s(s(X0)))))))))
| rpq2(s(s(s(s(s(s(s(s(X0)))))))))
| rq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_21462]) ).
cnf(c_37887,plain,
( ~ rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_20974]) ).
cnf(c_37889,plain,
( ~ qp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_21041]) ).
cnf(c_37894,plain,
( qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_25648]) ).
cnf(c_38240,plain,
( ~ rpq4(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_135]) ).
cnf(c_38241,plain,
( ~ pp(s(s(s(s(s(s(X0)))))))
| ~ rpq4(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_38242,plain,
( ~ rpq4(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_38248,plain,
( ~ rpq4(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_7271]) ).
cnf(c_39517,plain,
( ~ rpq1(s(X0))
| ~ r(X0)
| p(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_793,c_110]) ).
cnf(c_40015,plain,
( ~ qp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(X0))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(X0))))))))))
| qp(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_21423]) ).
cnf(c_40165,plain,
( ~ rpq4(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_38248]) ).
cnf(c_44107,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ aq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rr(s(s(s(s(s(s(s(s(X0)))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| pp(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_19102]) ).
cnf(c_44108,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(X0))))))))))
| pqr4(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_19133]) ).
cnf(c_44109,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(X0))))))))))
| pqr1(s(s(s(s(s(s(s(s(X0)))))))))
| pqr2(s(s(s(s(s(s(s(s(X0)))))))))
| pr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_19101]) ).
cnf(c_44207,plain,
( ~ qp(s(s(s(s(s(s(s(X0))))))))
| qrp1(s(s(s(s(s(s(X0)))))))
| qrp2(s(s(s(s(s(s(X0)))))))
| qp(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_15228]) ).
cnf(c_45104,plain,
( ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ pp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_27009]) ).
cnf(c_45180,plain,
( ~ p(s(s(s(s(s(s(s(X0))))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11099]) ).
cnf(c_45182,plain,
( ~ pp(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11085]) ).
cnf(c_45186,plain,
( ~ r(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(X0)))))))
| qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11094]) ).
cnf(c_45189,plain,
( ~ r(s(s(s(s(s(s(X0)))))))
| r(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_11051]) ).
cnf(c_45193,plain,
( ~ p(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_11101]) ).
cnf(c_45301,plain,
( p(X0)
| ~ r(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_775,c_140,c_51,c_50,c_311,c_255,c_303,c_304,c_590,c_647,c_707,c_743,c_826,c_891,c_943,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046]) ).
cnf(c_45302,negated_conjecture,
( ~ p(s(X0))
| ~ r(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_45301]) ).
cnf(c_47044,plain,
( ~ rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_37886]) ).
cnf(c_47055,plain,
( ~ rpq4(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_38242]) ).
cnf(c_47909,plain,
( ~ rq(s(s(s(s(s(s(s(X0))))))))
| ~ ap(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0)))))))
| pp(s(s(s(s(s(s(X0)))))))
| q(s(s(s(s(s(s(X0)))))))
| rr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_35091]) ).
cnf(c_48117,plain,
( ~ rpq4(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_40165]) ).
cnf(c_50522,plain,
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_25772]) ).
cnf(c_50527,plain,
( ~ rpq3(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_25762]) ).
cnf(c_50548,plain,
( ~ rpq1(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15848]) ).
cnf(c_50551,plain,
( ~ rpq1(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15243]) ).
cnf(c_50554,plain,
( ~ pp(s(s(s(s(s(s(s(X0))))))))
| ~ rpq1(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15240]) ).
cnf(c_50575,plain,
( ~ rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rpq1(s(s(s(s(s(s(s(s(s(X0))))))))))
| rpq2(s(s(s(s(s(s(s(s(s(X0))))))))))
| rq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_37886]) ).
cnf(c_50838,plain,
( ~ pqr1(s(s(s(s(s(s(s(s(X0)))))))))
| ~ p(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_7231]) ).
cnf(c_50865,plain,
( ~ qrp2(s(s(s(s(s(s(X0)))))))
| ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_30037]) ).
cnf(c_51460,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ~ aq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ rr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pp(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_44107]) ).
cnf(c_53001,plain,
( ~ rpq2(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_25802]) ).
cnf(c_53003,plain,
( ~ q(s(s(s(s(s(s(s(X0))))))))
| ~ rpq2(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_25800]) ).
cnf(c_53006,plain,
( ~ rpq2(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_25803]) ).
cnf(c_53063,plain,
( ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq3(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_50522]) ).
cnf(c_53122,plain,
( ~ qrp1(s(s(s(s(s(s(X0)))))))
| ar(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_25671]) ).
cnf(c_54056,plain,
( ~ r(X0)
| ~ rpq1(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_25466,c_52,c_51,c_23511,c_25466,c_26323,c_39517]) ).
cnf(c_54057,plain,
( ~ rpq1(s(X0))
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_54056]) ).
cnf(c_54206,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| pqr4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_44108]) ).
cnf(c_54207,plain,
( qp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37894]) ).
cnf(c_56702,plain,
( ~ pp(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_50554]) ).
cnf(c_56705,plain,
( ~ rpq1(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_50551]) ).
cnf(c_56707,plain,
( ~ rpq1(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_50548]) ).
cnf(c_56863,plain,
( ~ pr(s(s(s(s(s(s(s(X0))))))))
| pqr1(s(s(s(s(s(s(X0)))))))
| pqr2(s(s(s(s(s(s(X0)))))))
| pr(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_14173]) ).
cnf(c_60414,plain,
( ~ rpq2(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_53006]) ).
cnf(c_60415,plain,
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_53003]) ).
cnf(c_60417,plain,
( ~ rpq2(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_53001]) ).
cnf(c_61394,plain,
( ~ qrp1(s(s(s(s(s(s(s(X0))))))))
| ar(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_53122]) ).
cnf(c_61415,plain,
( ~ pqr4(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_30074]) ).
cnf(c_61416,plain,
( ~ pqr4(s(s(s(s(s(s(s(X0))))))))
| aq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_30073]) ).
cnf(c_61458,plain,
( ~ pqr1(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_61459,plain,
( ~ pqr1(s(s(s(s(s(s(X0)))))))
| ~ qq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_62124,plain,
( ~ rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rpq4(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_37887]) ).
cnf(c_62465,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_812,c_45302]) ).
cnf(c_63152,plain,
( ~ qp(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ rq(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| ~ pr(s(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))) ),
inference(instantiation,[status(thm)],[c_37889]) ).
cnf(c_63298,negated_conjecture,
~ rpq3(X0),
inference(global_subsumption_just,[status(thm)],[c_124,c_130,c_129,c_124,c_128,c_127,c_126,c_125,c_62465]) ).
cnf(c_63305,plain,
( ~ rq(X0)
| rq(s(X0))
| rpq4(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_612,c_63298]) ).
cnf(c_63511,plain,
( ~ ap(s(X0))
| ~ ap(X0) ),
inference(resolution,[status(thm)],[c_50,c_140]) ).
cnf(c_63522,plain,
( ~ ap(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_141,c_51]) ).
cnf(c_63523,plain,
( ~ aq(s(X0))
| ~ aq(X0) ),
inference(resolution,[status(thm)],[c_141,c_52]) ).
cnf(c_63904,plain,
( p(X0)
| ~ r(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_775,c_45302]) ).
cnf(c_63905,negated_conjecture,
( ~ p(s(X0))
| ~ r(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_63904]) ).
cnf(c_65072,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_812,c_63905]) ).
cnf(c_65386,plain,
( ~ ap(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_823,c_260,c_294,c_823,c_62465]) ).
cnf(c_65387,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_65386]) ).
cnf(c_65553,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| pp(X0)
| q(X0)
| r(X0)
| rr(X0)
| qrp1(X0)
| qrp2(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_620,c_243]) ).
cnf(c_65867,plain,
( ~ qp(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_138,c_640]) ).
cnf(c_65887,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ pr(X0)
| pp(X0)
| q(X0)
| qq(X0)
| r(X0)
| pqr3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_188,c_640]) ).
cnf(c_66084,plain,
( ~ qp(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| qrp1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qrp2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qp(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_40015]) ).
cnf(c_66141,plain,
( ~ rpq1(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(superposition,[status(thm)],[c_198,c_115]) ).
cnf(c_66161,plain,
( ~ rpq1(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(superposition,[status(thm)],[c_312,c_112]) ).
cnf(c_66179,plain,
( ~ qq(X0)
| ~ rpq1(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_66141,c_7266,c_23511,c_63522]) ).
cnf(c_66180,plain,
( ~ rpq1(s(X0))
| ~ qq(X0) ),
inference(renaming,[status(thm)],[c_66179]) ).
cnf(c_66261,plain,
( p(X0)
| ~ r(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_775,c_140,c_51,c_50,c_311,c_255,c_303,c_304,c_590,c_647,c_707,c_743,c_826,c_891,c_943,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046]) ).
cnf(c_66262,negated_conjecture,
( ~ p(s(X0))
| ~ r(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_66261]) ).
cnf(c_66466,plain,
( ~ p(X0)
| ~ rpq1(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_66161,c_31354,c_54057,c_66180]) ).
cnf(c_66467,plain,
( ~ rpq1(s(X0))
| ~ p(X0) ),
inference(renaming,[status(thm)],[c_66466]) ).
cnf(c_66673,plain,
( ~ rpq2(s(X0))
| ~ ap(X0)
| ~ r(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_810,c_120]) ).
cnf(c_66923,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(s(X0))))))))))
| rr(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_61415]) ).
cnf(c_66929,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_61416]) ).
cnf(c_66954,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| pqr1(X0)
| qq(X0)
| r(X0)
| rr(X0)
| pqr2(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_191,c_634]) ).
cnf(c_67096,plain,
( ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq2(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_60415]) ).
cnf(c_67099,plain,
( ~ rpq2(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_60414]) ).
cnf(c_67259,plain,
( ~ pqr2(s(s(s(s(s(s(X0)))))))
| aq(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_67265,plain,
( ~ pqr2(s(s(s(s(s(s(X0)))))))
| p(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_67852,plain,
( ~ rq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| rpq3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rpq4(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_37887]) ).
cnf(c_68795,plain,
( ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_14535]) ).
cnf(c_68796,plain,
( ~ pqr3(s(s(s(s(s(s(s(s(s(X0))))))))))
| aq(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_14305]) ).
cnf(c_68825,plain,
( ~ ar(X0)
| ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| rr(X0)
| qrp1(X0)
| qrp2(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_249,c_620]) ).
cnf(c_69165,plain,
( ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ rpq1(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_56702]) ).
cnf(c_69167,plain,
( ~ rpq1(s(s(s(s(s(s(s(s(s(X0))))))))))
| ap(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_56707]) ).
cnf(c_69227,plain,
( ~ aq(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| ~ pr(X0)
| p(X0)
| pp(X0)
| qq(X0)
| pqr3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_194,c_640]) ).
cnf(c_69238,plain,
( ~ pqr1(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_69239,plain,
( ~ pqr1(s(s(s(s(s(X0))))))
| ~ qq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_69246,plain,
( ~ pqr1(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31245]) ).
cnf(c_69593,plain,
( ~ qrp2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_50865]) ).
cnf(c_69690,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_66929]) ).
cnf(c_69871,plain,
( ~ rpq4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_48117]) ).
cnf(c_69973,plain,
( ~ ap(X0)
| ~ pp(s(X0))
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_823,c_260,c_294,c_823,c_62465]) ).
cnf(c_69974,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_69973]) ).
cnf(c_70149,plain,
( ~ pr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pr(s(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))))
| pqr3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| pqr4(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_54206]) ).
cnf(c_70247,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_69690]) ).
cnf(c_70751,plain,
( ~ pr(X0)
| ~ rq(s(X0))
| ~ qp(s(X0))
| pqr4(X0) ),
inference(global_subsumption_just,[status(thm)],[c_65867,c_81,c_80,c_74,c_73,c_50,c_138,c_3262,c_3699,c_65867]) ).
cnf(c_70752,plain,
( ~ qp(s(X0))
| ~ rq(s(X0))
| ~ pr(X0)
| pqr4(X0) ),
inference(renaming,[status(thm)],[c_70751]) ).
cnf(c_70754,plain,
( ~ pr(X0)
| ~ rq(s(X0))
| ~ qp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_70752,c_81,c_80,c_50,c_138,c_3262,c_3699,c_70752]) ).
cnf(c_70755,plain,
( ~ qp(s(X0))
| ~ rq(s(X0))
| ~ pr(X0) ),
inference(renaming,[status(thm)],[c_70754]) ).
cnf(c_71172,plain,
( ~ pqr2(s(s(s(s(s(X0))))))
| aq(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_71174,plain,
( ~ r(s(s(s(s(s(X0))))))
| ~ pqr2(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_71176,plain,
( ~ pqr2(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_71178,plain,
( ~ pqr2(s(s(s(s(s(X0))))))
| p(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_71209,plain,
( ~ qq(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_898,c_140,c_51,c_50,c_255,c_254,c_195,c_260,c_262,c_282,c_588,c_645,c_828,c_901,c_7226,c_7230,c_7249,c_7269,c_7267,c_7286,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7612,c_7608,c_7572,c_7743,c_7774,c_7792,c_8170,c_8444,c_8456,c_8452,c_8450,c_8467,c_8798,c_9341,c_9368,c_9494,c_9872,c_9885,c_9921,c_9944,c_9947,c_9982,c_10051,c_10269,c_10604,c_10848,c_10852,c_11080,c_14100,c_14173,c_15228,c_16849,c_19297,c_19861,c_21153,c_22749,c_23495,c_25669,c_30032,c_31258,c_44207,c_45193,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172]) ).
cnf(c_71210,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ qq(X0) ),
inference(renaming,[status(thm)],[c_71209]) ).
cnf(c_71222,plain,
( ~ pp(X0)
| ~ p(X0)
| ~ ap(X0)
| ~ pp(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_901,c_140,c_51,c_50,c_255,c_254,c_195,c_260,c_262,c_828,c_901,c_7226,c_7230,c_7249,c_7269,c_7267,c_7286,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7612,c_7608,c_7572,c_7743,c_7774,c_7792,c_8170,c_8444,c_8456,c_8452,c_8450,c_8467,c_8798,c_9341,c_9368,c_9494,c_9872,c_9885,c_9921,c_9944,c_9947,c_9982,c_10051,c_10269,c_10604,c_10848,c_10852,c_11080,c_14100,c_14173,c_15228,c_16849,c_19297,c_19861,c_21153,c_22749,c_23495,c_25669,c_30032,c_31258,c_44207,c_45193,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172]) ).
cnf(c_71223,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_71222]) ).
cnf(c_71229,plain,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_776,c_71223]) ).
cnf(c_71271,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ ap(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_304,c_140,c_51,c_255,c_254,c_302,c_710,c_714,c_891,c_7226,c_7230,c_7229,c_7244,c_7269,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7743,c_7775,c_7793,c_8150,c_8444,c_8456,c_8452,c_8450,c_8467,c_8786,c_9341,c_9368,c_9494,c_9872,c_9885,c_9921,c_9947,c_9955,c_9982,c_10051,c_10269,c_10607,c_10848,c_10852,c_11081,c_14100,c_14173,c_15228,c_16849,c_19297,c_19861,c_21153,c_22749,c_23495,c_25669,c_30032,c_31258,c_44207,c_45193,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172]) ).
cnf(c_71272,negated_conjecture,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_71271]) ).
cnf(c_71275,plain,
( ~ qq(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| pp(s(X0))
| q(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_71272]) ).
cnf(c_71476,plain,
( ~ qrp1(s(s(s(s(s(s(s(s(s(X0))))))))))
| ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_61394]) ).
cnf(c_71501,plain,
( ~ qp(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| rpq4(X0) ),
inference(resolution,[status(thm)],[c_70755,c_63305]) ).
cnf(c_72073,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_66923]) ).
cnf(c_72682,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ ap(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_65072,c_71272]) ).
cnf(c_72683,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_72682]) ).
cnf(c_72716,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| pp(s(X0))
| q(s(X0))
| ar(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_72683,c_255]) ).
cnf(c_72717,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| pp(s(X0))
| q(s(X0))
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_72683,c_629]) ).
cnf(c_72719,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| pp(s(X0))
| q(s(X0))
| rr(X0) ),
inference(resolution,[status(thm)],[c_72683,c_1008]) ).
cnf(c_72721,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| ~ rr(X0)
| pp(s(X0))
| q(s(X0))
| q(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_72683,c_860]) ).
cnf(c_72723,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(s(X0))
| q(s(X0))
| p(X0) ),
inference(resolution,[status(thm)],[c_72683,c_911]) ).
cnf(c_73543,plain,
( ~ q(s(s(s(s(s(s(X0)))))))
| ~ r(s(s(s(s(s(X0))))))
| ~ rr(s(s(s(s(s(X0))))))
| q(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_31955]) ).
cnf(c_74899,plain,
( ~ r(s(s(s(s(X0)))))
| r(s(s(s(s(s(X0))))))
| ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8118]) ).
cnf(c_75257,plain,
( ~ pp(s(s(s(s(s(X0))))))
| pp(s(s(s(s(s(s(X0)))))))
| ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_11671]) ).
cnf(c_75504,plain,
( ~ rr(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_34240]) ).
cnf(c_78013,plain,
( ~ rpq3(s(s(s(s(s(s(s(X0))))))))
| ap(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_25762]) ).
cnf(c_78047,plain,
( ~ pqr2(s(s(s(s(s(s(s(X0))))))))
| q(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_71176]) ).
cnf(c_78049,plain,
( ~ r(s(s(s(s(s(s(s(X0))))))))
| ~ pqr2(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_71174]) ).
cnf(c_78068,plain,
( ~ rpq2(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_66673,c_7265,c_63511]) ).
cnf(c_78237,plain,
( ~ p(X0)
| ~ ap(X0)
| ~ r(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_71229,c_140,c_51,c_50,c_255,c_254,c_195,c_272,c_714,c_7226,c_7230,c_7229,c_7238,c_7267,c_7286,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7743,c_7774,c_7792,c_8150,c_8444,c_8456,c_8452,c_8450,c_8467,c_8786,c_9341,c_9368,c_9494,c_9872,c_9885,c_9921,c_9944,c_9947,c_9982,c_10051,c_10269,c_10604,c_10848,c_10852,c_11079,c_14100,c_14173,c_15228,c_16849,c_19297,c_19861,c_21153,c_22749,c_23495,c_25669,c_30033,c_31258,c_44207,c_45193,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172,c_71229]) ).
cnf(c_78238,plain,
( ~ ap(X0)
| ~ p(X0)
| ~ r(X0)
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_78237]) ).
cnf(c_78241,plain,
( ~ p(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| q(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_78238]) ).
cnf(c_78289,plain,
( ~ ar(X0)
| ~ r(s(X0))
| ~ p(s(X0))
| rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_78241,c_52,c_51,c_311,c_195,c_205,c_653,c_78241]) ).
cnf(c_78290,plain,
( ~ p(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| rr(s(X0)) ),
inference(renaming,[status(thm)],[c_78289]) ).
cnf(c_78291,plain,
( ~ p(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| rr(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_845,c_78290]) ).
cnf(c_78294,plain,
( ~ p(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| rr(s(X0))
| q(X0) ),
inference(superposition,[status(thm)],[c_965,c_78290]) ).
cnf(c_78295,plain,
( ~ p(s(X0))
| ~ ar(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| p(X0) ),
inference(superposition,[status(thm)],[c_856,c_78290]) ).
cnf(c_78296,plain,
( ~ p(s(X0))
| ~ ar(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0) ),
inference(superposition,[status(thm)],[c_847,c_78290]) ).
cnf(c_78298,plain,
( ~ p(s(X0))
| ~ ar(X0)
| ~ r(X0)
| rr(s(X0))
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_786,c_78290]) ).
cnf(c_78300,plain,
( ~ p(s(X0))
| ~ ar(X0)
| rr(s(X0))
| p(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_579,c_78290]) ).
cnf(c_78605,plain,
( p(X0)
| ~ p(s(X0))
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_78300,c_51,c_311]) ).
cnf(c_78606,plain,
( ~ p(s(X0))
| ~ ar(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_78605]) ).
cnf(c_78762,plain,
( ~ qrp2(s(s(s(s(s(s(s(s(s(X0))))))))))
| ar(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_50865]) ).
cnf(c_78925,plain,
( ~ qq(s(s(X0)))
| ~ aq(s(X0))
| p(s(X0))
| r(s(X0)) ),
inference(instantiation,[status(thm)],[c_643]) ).
cnf(c_79464,plain,
( ~ pqr3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_68796]) ).
cnf(c_79465,plain,
( ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pqr3(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_68795]) ).
cnf(c_79788,plain,
( ar(X0)
| ~ ap(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_72716,c_53,c_63511,c_63522]) ).
cnf(c_79789,plain,
( ~ ap(s(X0))
| ar(X0) ),
inference(renaming,[status(thm)],[c_79788]) ).
cnf(c_79802,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| pp(s(X0))
| q(s(X0))
| q(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_72721,c_79789]) ).
cnf(c_80152,plain,
( ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_32455]) ).
cnf(c_80155,plain,
( ~ p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ pp(s(s(s(s(s(s(s(s(s(X0))))))))))
| ~ q(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(s(X0)))))))))) ),
inference(instantiation,[status(thm)],[c_32603]) ).
cnf(c_80248,plain,
( ~ p(s(s(s(s(s(s(s(X0))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(X0))))))))
| rr(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_15021]) ).
cnf(c_81130,plain,
( rr(s(X0))
| ~ r(X0)
| ~ ar(X0)
| ~ p(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_78298,c_51,c_311,c_687,c_78296,c_78294]) ).
cnf(c_81131,plain,
( ~ p(s(X0))
| ~ ar(X0)
| ~ r(X0)
| rr(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_81130]) ).
cnf(c_81138,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ r(X0)
| rr(s(X0))
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_779,c_81131]) ).
cnf(c_81142,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ r(X0)
| rr(s(X0))
| ap(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_312,c_81131]) ).
cnf(c_81143,plain,
( qrp1(X0)
| rr(X0)
| r(X0)
| q(X0)
| pp(X0)
| ~ qq(X0)
| ~ ar(X0)
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_65553,c_91,c_142,c_52,c_51,c_313,c_198,c_195,c_845,c_65553,c_72717]) ).
cnf(c_81144,plain,
( ~ ar(X0)
| ~ qq(X0)
| pp(X0)
| q(X0)
| r(X0)
| rr(X0)
| qrp1(X0)
| qp(X0) ),
inference(renaming,[status(thm)],[c_81143]) ).
cnf(c_83276,plain,
( ~ ar(s(X0))
| ~ qq(s(X0))
| pp(s(X0))
| q(s(X0))
| r(s(X0))
| rr(s(X0))
| qrp1(s(X0))
| qrp1(X0)
| qrp2(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_81144,c_620]) ).
cnf(c_86495,plain,
( ~ qrp2(s(s(s(X0))))
| ar(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_86498,plain,
( ~ pp(s(s(s(X0))))
| ~ qrp2(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_86512,plain,
( q(X0)
| rr(s(X0))
| ~ r(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_81138,c_51,c_81142]) ).
cnf(c_86513,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ r(X0)
| rr(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_86512]) ).
cnf(c_86521,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_86513,c_908]) ).
cnf(c_86889,plain,
( ~ rpq4(s(s(s(s(s(X0))))))
| ap(s(s(s(s(s(X0)))))) ),
inference(instantiation,[status(thm)],[c_7271]) ).
cnf(c_91790,plain,
( ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| ap(X0)
| aq(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_53,c_86521]) ).
cnf(c_91791,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(s(X0))
| ~ rr(s(X0))
| ~ aq(X0)
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_86521]) ).
cnf(c_91796,plain,
( ~ p(s(X0))
| ~ rr(X0)
| rr(s(X0))
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_78295,c_256,c_78606]) ).
cnf(c_91808,plain,
( ~ ap(X0)
| ~ rr(X0)
| rr(s(X0))
| p(X0)
| q(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_576,c_91796]) ).
cnf(c_91881,plain,
( rr(s(X0))
| ~ rr(X0)
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_91808,c_51,c_256]) ).
cnf(c_91882,plain,
( ~ ap(X0)
| ~ rr(X0)
| rr(s(X0)) ),
inference(renaming,[status(thm)],[c_91881]) ).
cnf(c_96254,plain,
( ~ qrp1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ar(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_71476]) ).
cnf(c_96383,plain,
( ~ p(s(X0))
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_78296,c_256,c_687,c_45302,c_78296,c_78294]) ).
cnf(c_96396,plain,
( ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| ap(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_312,c_96383]) ).
cnf(c_100024,plain,
( rr(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_96396,c_312,c_256,c_687,c_78296,c_78294,c_91882]) ).
cnf(c_100025,plain,
( ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_100024]) ).
cnf(c_100046,plain,
( pqr3(X0)
| r(X0)
| qq(X0)
| q(X0)
| pp(X0)
| ~ pr(X0)
| ~ rr(X0)
| ~ p(X0)
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_65887,c_79,c_188,c_640]) ).
cnf(c_100047,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ rr(X0)
| ~ pr(X0)
| pp(X0)
| q(X0)
| qq(X0)
| r(X0)
| pqr3(X0) ),
inference(renaming,[status(thm)],[c_100046]) ).
cnf(c_100929,plain,
( ~ q(X0)
| ~ pp(X0)
| ~ p(X0)
| ~ aq(X0)
| qq(X0)
| r(X0)
| rr(X0)
| pqr2(X0)
| pr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_66954,c_56,c_66954]) ).
cnf(c_100930,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ q(X0)
| qq(X0)
| r(X0)
| rr(X0)
| pqr2(X0)
| pr(X0) ),
inference(renaming,[status(thm)],[c_100929]) ).
cnf(c_101346,plain,
( ~ pqr3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| aq(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_79464]) ).
cnf(c_103391,plain,
( ap(X0)
| ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_91790,c_314,c_312,c_847,c_988,c_91790,c_91791,c_100025]) ).
cnf(c_103392,plain,
( ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| ap(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_103391]) ).
cnf(c_108115,plain,
( ~ pqr4(s(s(X0)))
| aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_109140,plain,
( ~ pqr1(s(s(s(s(s(s(s(X0))))))))
| ~ qq(s(s(s(s(s(s(s(X0)))))))) ),
inference(instantiation,[status(thm)],[c_69239]) ).
cnf(c_109179,plain,
( ~ aq(s(X0))
| ~ p(s(X0))
| ~ rr(s(X0))
| ~ pr(X0)
| pp(s(X0))
| q(s(X0))
| qq(s(X0))
| r(s(X0))
| pqr3(s(X0))
| pqr3(X0)
| pqr4(X0) ),
inference(resolution,[status(thm)],[c_100047,c_640]) ).
cnf(c_109201,plain,
( ~ pp(s(s(s(s(s(s(X0)))))))
| ~ rpq3(s(s(s(s(s(s(X0))))))) ),
inference(instantiation,[status(thm)],[c_25763]) ).
cnf(c_109337,plain,
( ~ ar(X0)
| ~ qq(X0)
| rr(s(X0))
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_78291,c_52,c_51,c_313,c_198,c_195,c_845,c_71275]) ).
cnf(c_109351,plain,
( ~ ar(X0)
| ~ qq(X0)
| p(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_109337,c_629]) ).
cnf(c_109373,plain,
( ~ aq(s(X0))
| ~ p(s(X0))
| ~ pp(s(X0))
| ~ q(s(X0))
| qq(s(X0))
| r(s(X0))
| rr(s(X0))
| pqr2(s(X0))
| pqr1(X0)
| pqr2(X0)
| pr(X0) ),
inference(resolution,[status(thm)],[c_100930,c_634]) ).
cnf(c_109417,plain,
( ~ rpq2(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_67099]) ).
cnf(c_110021,plain,
( q(X0)
| pp(X0)
| p(X0)
| ~ qq(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_109351,c_142,c_52,c_51,c_313,c_198,c_195,c_201,c_203,c_72723,c_79802,c_109351]) ).
cnf(c_110022,plain,
( ~ ar(X0)
| ~ qq(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_110021]) ).
cnf(c_110023,plain,
( ~ qq(X0)
| ap(X0)
| aq(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_53,c_110022]) ).
cnf(c_110024,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| p(s(X0))
| pp(s(X0))
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_110022]) ).
cnf(c_110649,plain,
( ~ aq(X0)
| ~ r(X0)
| ap(s(X0))
| aq(s(X0))
| p(s(X0))
| pp(s(X0))
| q(s(X0))
| p(X0)
| pp(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_914,c_110023]) ).
cnf(c_112357,plain,
( ~ q(s(s(s(X0))))
| ~ rpq2(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_13548]) ).
cnf(c_112699,plain,
( ~ pqr2(s(s(s(s(s(s(s(s(X0)))))))))
| q(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_78047]) ).
cnf(c_115301,plain,
( ~ pp(s(s(X0)))
| ~ q(s(s(X0)))
| q(s(s(s(X0))))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_991]) ).
cnf(c_115305,plain,
( ~ q(s(s(X0)))
| q(s(s(s(X0))))
| aq(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_115306,plain,
( ~ p(s(s(s(X0))))
| ~ q(s(s(X0)))
| p(s(s(X0)))
| rr(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_768]) ).
cnf(c_115309,plain,
( ~ p(s(s(s(X0))))
| ~ pp(s(s(X0)))
| ~ q(s(s(X0)))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_835]) ).
cnf(c_115314,plain,
( ~ p(s(s(s(X0))))
| ~ q(s(s(X0)))
| ~ r(s(s(X0)))
| p(s(s(X0))) ),
inference(instantiation,[status(thm)],[c_647]) ).
cnf(c_115340,plain,
( ~ q(s(s(X0)))
| ~ r(s(X0))
| pp(s(X0))
| q(s(X0)) ),
inference(instantiation,[status(thm)],[c_796]) ).
cnf(c_115358,plain,
( ~ aq(X0)
| p(s(X0))
| pp(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_110024,c_50,c_314,c_312,c_172,c_165,c_582,c_743,c_63523,c_63522,c_110024,c_110649]) ).
cnf(c_115371,plain,
( ~ aq(X0)
| ~ qq(X0)
| ~ rr(X0)
| p(s(X0))
| q(s(X0))
| pp(X0) ),
inference(superposition,[status(thm)],[c_115358,c_1004]) ).
cnf(c_115373,plain,
( ~ aq(X0)
| p(s(X0))
| q(s(X0))
| ap(X0)
| pp(X0) ),
inference(superposition,[status(thm)],[c_115358,c_313]) ).
cnf(c_115844,plain,
( rr(X0)
| pp(X0)
| p(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ ar(X0)
| qrp2(X0)
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_68825,c_142,c_52,c_51,c_313,c_198,c_195,c_201,c_203,c_249,c_3273,c_72723,c_79802,c_109351]) ).
cnf(c_115845,plain,
( ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| rr(X0)
| qrp2(X0)
| qp(X0) ),
inference(renaming,[status(thm)],[c_115844]) ).
cnf(c_116032,plain,
( ~ ar(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| p(s(X0))
| pp(s(X0))
| rr(s(X0))
| qrp2(s(X0))
| qrp1(X0)
| qrp2(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_115845,c_620]) ).
cnf(c_117880,plain,
( q(s(X0))
| p(s(X0))
| ~ aq(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_115373,c_50,c_115373]) ).
cnf(c_117881,plain,
( ~ aq(X0)
| p(s(X0))
| q(s(X0))
| pp(X0) ),
inference(renaming,[status(thm)],[c_117880]) ).
cnf(c_117887,plain,
( ~ aq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_117881,c_976]) ).
cnf(c_117888,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ r(X0)
| p(s(X0))
| pp(X0) ),
inference(superposition,[status(thm)],[c_117881,c_675]) ).
cnf(c_117891,plain,
( ~ aq(X0)
| ~ qq(X0)
| ~ r(X0)
| p(s(X0))
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_117881,c_891]) ).
cnf(c_117895,plain,
( ~ aq(X0)
| ~ r(X0)
| p(s(X0))
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_117881,c_796]) ).
cnf(c_119830,plain,
( ~ rr(X0)
| ~ r(X0)
| ~ aq(X0)
| p(X0)
| pp(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_69227,c_311,c_293,c_647,c_707,c_826,c_117887]) ).
cnf(c_119831,plain,
( ~ aq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_119830]) ).
cnf(c_119910,plain,
( ~ aq(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| qq(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_119831,c_256]) ).
cnf(c_120551,plain,
( qq(s(X0))
| pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ r(s(X0))
| ~ aq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_119910,c_22752,c_119910]) ).
cnf(c_120552,plain,
( ~ aq(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| qq(s(X0)) ),
inference(renaming,[status(thm)],[c_120551]) ).
cnf(c_120626,plain,
( ~ aq(s(X0))
| ~ ar(X0)
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| qq(s(X0))
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_120552,c_579]) ).
cnf(c_120627,plain,
( ~ aq(s(X0))
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| qq(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_120552,c_254]) ).
cnf(c_123476,plain,
( ~ aq(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_117895,c_96383]) ).
cnf(c_123485,plain,
( ~ aq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_117895,c_66262]) ).
cnf(c_123573,plain,
( ~ q(s(s(s(s(s(s(s(s(X0)))))))))
| ~ qq(s(s(s(s(s(s(s(s(X0)))))))))
| ~ r(s(s(s(s(s(s(s(s(X0)))))))))
| qq(s(s(s(s(s(s(s(s(s(X0))))))))))
| p(s(s(s(s(s(s(s(s(X0)))))))))
| rr(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_15047]) ).
cnf(c_126245,plain,
( qq(s(X0))
| pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ aq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_120627,c_22752,c_120627]) ).
cnf(c_126246,plain,
( ~ aq(s(X0))
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| qq(s(X0)) ),
inference(renaming,[status(thm)],[c_126245]) ).
cnf(c_126352,plain,
( ~ aq(s(X0))
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| aq(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_126246,c_197]) ).
cnf(c_126480,plain,
( ~ pqr3(s(s(s(s(s(s(s(s(X0)))))))))
| aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_14305]) ).
cnf(c_126631,plain,
( ~ qq(s(s(s(s(X0)))))
| aq(s(s(s(X0))))
| qq(s(s(s(X0)))) ),
inference(instantiation,[status(thm)],[c_7314]) ).
cnf(c_127588,plain,
( ~ r(s(X0))
| ~ ap(X0)
| p(s(X0))
| pp(s(X0))
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_123485]) ).
cnf(c_130564,plain,
( ~ rr(s(s(s(s(X0)))))
| rr(s(s(s(s(s(X0))))))
| ar(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31237]) ).
cnf(c_130565,plain,
( ~ p(s(s(s(s(s(X0))))))
| ~ r(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| p(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_31244]) ).
cnf(c_130583,plain,
( p(s(X0))
| ~ aq(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_117888,c_50,c_312]) ).
cnf(c_130584,plain,
( ~ aq(X0)
| ~ p(X0)
| p(s(X0)) ),
inference(renaming,[status(thm)],[c_130583]) ).
cnf(c_130622,plain,
( ~ aq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_117887,c_66262]) ).
cnf(c_130811,plain,
( ~ qq(s(s(X0)))
| ~ aq(s(X0))
| ~ q(s(X0))
| ~ qq(s(X0))
| ~ rr(s(X0))
| p(s(X0)) ),
inference(instantiation,[status(thm)],[c_918]) ).
cnf(c_130840,plain,
( ~ rr(s(X0))
| rr(s(s(X0)))
| ar(s(X0)) ),
inference(instantiation,[status(thm)],[c_256]) ).
cnf(c_131433,plain,
( ~ rpq3(s(s(s(s(X0)))))
| ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7264]) ).
cnf(c_131455,plain,
( pp(s(X0))
| p(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ aq(s(X0))
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_126352,c_63523,c_126352]) ).
cnf(c_131456,plain,
( ~ aq(s(X0))
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| qq(X0) ),
inference(renaming,[status(thm)],[c_131455]) ).
cnf(c_131583,plain,
( ~ aq(s(X0))
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| ap(X0)
| pp(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_131456,c_313]) ).
cnf(c_131586,plain,
( ~ aq(s(X0))
| ~ ap(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| qq(X0) ),
inference(resolution,[status(thm)],[c_131456,c_663]) ).
cnf(c_133262,plain,
( ~ aq(s(X0))
| ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_131583,c_53,c_22752,c_63523]) ).
cnf(c_133373,plain,
( ~ aq(s(X0))
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_131586,c_133262]) ).
cnf(c_133421,plain,
( ~ aq(s(X0))
| p(s(X0))
| pp(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_120626,c_254,c_195,c_576,c_22752,c_63523,c_127588,c_133262]) ).
cnf(c_133473,plain,
( ~ r(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| p(s(X0))
| pp(s(X0))
| qq(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_130622]) ).
cnf(c_133488,plain,
( ~ aq(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_133421,c_1004]) ).
cnf(c_134527,plain,
( ~ qq(X0)
| ~ r(X0)
| p(s(X0))
| pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_117891,c_254,c_195,c_260,c_294,c_576,c_823,c_947,c_62465,c_110022,c_110023,c_117891,c_127588]) ).
cnf(c_134535,plain,
( ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_134527,c_96383]) ).
cnf(c_134537,plain,
( ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| rr(s(X0))
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_134527,c_81131]) ).
cnf(c_138148,plain,
( p(s(X0))
| ~ aq(s(X0))
| ~ qq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_133488,c_261,c_291,c_714,c_828,c_65387,c_133262,c_133421]) ).
cnf(c_138149,plain,
( ~ aq(s(X0))
| ~ qq(X0)
| p(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_138148]) ).
cnf(c_138172,plain,
( ~ aq(s(X0))
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_138149,c_63905]) ).
cnf(c_143411,plain,
( ~ rpq4(s(s(s(s(X0)))))
| ap(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_7271]) ).
cnf(c_144034,plain,
( ~ pqr4(s(s(s(s(s(s(s(s(X0)))))))))
| aq(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_108115]) ).
cnf(c_144087,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_138172,c_140]) ).
cnf(c_144099,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ ar(X0)
| p(s(X0))
| q(s(X0))
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_144087,c_579]) ).
cnf(c_144179,plain,
( ~ rpq1(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_69167]) ).
cnf(c_144269,plain,
( ~ aq(X0)
| ~ rr(X0)
| rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_123476,c_52,c_256]) ).
cnf(c_145899,plain,
( ~ ap(X0)
| p(s(X0))
| pp(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_127588,c_51,c_50,c_254,c_196,c_195,c_576,c_127588]) ).
cnf(c_145911,plain,
( ~ ap(X0)
| ~ qq(X0)
| p(s(X0))
| q(s(X0))
| p(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_145899,c_69974]) ).
cnf(c_145912,plain,
( ~ ap(X0)
| ~ q(X0)
| ~ r(X0)
| p(s(X0))
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_145899,c_663]) ).
cnf(c_147181,plain,
( ~ q(X0)
| p(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_145912,c_50,c_196,c_991,c_115373,c_130584]) ).
cnf(c_149187,plain,
( ~ qq(s(X0))
| ~ ar(X0)
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_144099,c_142,c_52,c_195,c_78606,c_144099]) ).
cnf(c_149210,plain,
( ~ ar(X0)
| ~ qq(X0)
| aq(X0)
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_149187,c_198]) ).
cnf(c_149587,plain,
( ~ qq(X0)
| ~ ar(X0)
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_149210,c_52,c_149210]) ).
cnf(c_149588,plain,
( ~ ar(X0)
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_149587]) ).
cnf(c_149612,plain,
( ~ ar(s(X0))
| ~ qq(X0)
| p(s(X0))
| q(s(X0))
| aq(X0) ),
inference(resolution,[status(thm)],[c_149588,c_198]) ).
cnf(c_149880,plain,
( ~ ap(X0)
| ~ qq(X0)
| p(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_145911,c_140,c_138149]) ).
cnf(c_149883,plain,
( ~ pp(s(X0))
| ~ r(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| ap(s(X0))
| q(s(X0))
| q(X0) ),
inference(superposition,[status(thm)],[c_149880,c_103392]) ).
cnf(c_151894,plain,
( ~ qq(X0)
| p(s(X0))
| q(s(X0))
| aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_149612,c_53,c_947,c_147181,c_149588,c_149880]) ).
cnf(c_152316,plain,
( ~ qq(X0)
| p(s(X0))
| q(s(X0))
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_115371,c_50,c_196,c_991,c_115373,c_130584,c_149880,c_151894]) ).
cnf(c_152333,plain,
( ~ qq(X0)
| p(s(X0))
| aq(X0)
| pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_152316,c_195]) ).
cnf(c_153123,plain,
( ~ rpq4(s(s(s(s(s(s(s(s(X0)))))))))
| ap(s(s(s(s(s(s(s(s(X0))))))))) ),
inference(instantiation,[status(thm)],[c_143411]) ).
cnf(c_153161,plain,
( ~ qq(X0)
| p(s(X0))
| aq(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_151894,c_195]) ).
cnf(c_154349,plain,
( aq(X0)
| p(s(X0))
| ~ qq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_152333,c_153161]) ).
cnf(c_154350,plain,
( ~ qq(X0)
| p(s(X0))
| aq(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_154349]) ).
cnf(c_154358,plain,
( ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| rr(s(X0))
| aq(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_154350,c_81131]) ).
cnf(c_154359,plain,
( ~ ar(X0)
| ~ qq(X0)
| aq(X0)
| p(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_154350,c_78606]) ).
cnf(c_154367,plain,
( ~ qq(X0)
| ap(X0)
| aq(X0)
| p(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_154350,c_311]) ).
cnf(c_161480,plain,
( ~ qq(X0)
| ap(s(X0))
| aq(s(X0))
| p(s(X0))
| q(s(X0))
| aq(X0) ),
inference(superposition,[status(thm)],[c_198,c_154367]) ).
cnf(c_162417,plain,
( ~ rpq3(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_131433]) ).
cnf(c_162482,plain,
( ~ qq(X0)
| ap(X0)
| aq(X0)
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_153161,c_311]) ).
cnf(c_162484,plain,
( ~ qq(X0)
| ~ r(X0)
| aq(X0)
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_153161,c_63905]) ).
cnf(c_162611,plain,
( ~ qq(X0)
| ap(s(X0))
| aq(s(X0))
| p(s(X0))
| q(s(X0))
| aq(X0) ),
inference(resolution,[status(thm)],[c_162482,c_198]) ).
cnf(c_163128,plain,
( ~ qq(X0)
| ~ ar(X0)
| p(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_154359,c_52,c_198,c_149187]) ).
cnf(c_163129,plain,
( ~ ar(X0)
| ~ qq(X0)
| p(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_163128]) ).
cnf(c_163131,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| p(s(X0))
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_163129]) ).
cnf(c_165051,plain,
( ~ qq(s(X0))
| p(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_163131,c_197,c_151894,c_163131]) ).
cnf(c_165058,plain,
( ~ q(X0)
| ~ qq(X0)
| ~ r(X0)
| p(s(X0))
| q(s(X0))
| p(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_797,c_165051]) ).
cnf(c_168106,plain,
( ~ qq(s(X0))
| ~ r(X0)
| aq(s(X0))
| p(s(X0))
| q(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_162484,c_254]) ).
cnf(c_169263,plain,
( ~ rpq3(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_162417]) ).
cnf(c_171435,plain,
( ap(s(X0))
| aq(s(X0))
| aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_161480,c_142,c_140,c_53]) ).
cnf(c_171440,plain,
( ~ ar(s(X0))
| ap(s(X0))
| aq(X0) ),
inference(superposition,[status(thm)],[c_171435,c_52]) ).
cnf(c_173864,plain,
( ~ ar(s(X0))
| aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_171440,c_53,c_22749,c_22751]) ).
cnf(c_176406,plain,
( ap(s(X0))
| aq(s(X0))
| aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_162611,c_171435]) ).
cnf(c_176430,plain,
( ap(s(X0))
| ap(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_176406,c_133262]) ).
cnf(c_176526,plain,
( rr(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ qq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_134535,c_256,c_144269,c_154358]) ).
cnf(c_176527,plain,
( ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_176526]) ).
cnf(c_176536,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_176527,c_908]) ).
cnf(c_177715,plain,
( q(s(X0))
| p(s(X0))
| ~ qq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_168106,c_197,c_151894,c_163131]) ).
cnf(c_177716,plain,
( ~ qq(s(X0))
| p(s(X0))
| q(s(X0)) ),
inference(renaming,[status(thm)],[c_177715]) ).
cnf(c_177734,plain,
( ~ qq(X0)
| ~ r(X0)
| p(s(X0))
| q(s(X0))
| p(X0)
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_177716,c_743]) ).
cnf(c_177817,plain,
( pp(X0)
| ~ qq(X0)
| p(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_177734,c_152316]) ).
cnf(c_177818,plain,
( ~ qq(X0)
| p(s(X0))
| q(s(X0))
| pp(X0) ),
inference(renaming,[status(thm)],[c_177817]) ).
cnf(c_177867,plain,
( ~ qq(X0)
| ~ r(X0)
| p(s(X0))
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_177818,c_891]) ).
cnf(c_177891,plain,
( ~ qq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_177867,c_63905]) ).
cnf(c_177909,plain,
( ~ qq(s(X0))
| ~ r(X0)
| p(s(X0))
| pp(s(X0))
| q(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_177891,c_254]) ).
cnf(c_177990,plain,
( ~ pp(X0)
| ~ r(s(X0))
| pp(s(X0))
| q(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_72719,c_51,c_50,c_314,c_253,c_196,c_284,c_45302,c_127588]) ).
cnf(c_177991,plain,
( ~ r(s(X0))
| ~ pp(X0)
| pp(s(X0))
| q(s(X0))
| rr(X0) ),
inference(renaming,[status(thm)],[c_177990]) ).
cnf(c_178087,plain,
( ~ ar(X0)
| ~ pp(X0)
| pp(s(X0))
| q(s(X0))
| p(X0)
| q(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_177991,c_579]) ).
cnf(c_178088,plain,
( ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| q(s(X0))
| ar(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_177991,c_254]) ).
cnf(c_178101,plain,
( q(s(X0))
| pp(s(X0))
| ~ r(X0)
| ~ pp(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178088,c_51,c_314,c_178088]) ).
cnf(c_178102,plain,
( ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| q(s(X0))
| rr(X0) ),
inference(renaming,[status(thm)],[c_178101]) ).
cnf(c_178128,plain,
( ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| aq(X0)
| q(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_178102,c_195]) ).
cnf(c_178135,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| rr(X0) ),
inference(resolution,[status(thm)],[c_178102,c_675]) ).
cnf(c_178141,plain,
( pp(s(X0))
| ~ r(X0)
| ~ pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178128,c_50,c_314,c_178128]) ).
cnf(c_178142,plain,
( ~ pp(X0)
| ~ r(X0)
| pp(s(X0))
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_178141]) ).
cnf(c_178160,plain,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| q(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_810,c_178142]) ).
cnf(c_178170,plain,
( ~ ap(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| p(X0)
| q(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_178142,c_65387]) ).
cnf(c_178192,plain,
( pp(s(X0))
| ~ aq(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178135,c_50,c_314]) ).
cnf(c_178193,plain,
( ~ aq(X0)
| ~ pp(X0)
| pp(s(X0)) ),
inference(renaming,[status(thm)],[c_178192]) ).
cnf(c_178215,plain,
( p(s(X0))
| pp(s(X0))
| q(s(X0))
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177909,c_53,c_115358,c_145899]) ).
cnf(c_178237,plain,
( p(s(X0))
| pp(s(X0))
| aq(X0)
| ar(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_178215,c_195]) ).
cnf(c_178238,plain,
( ~ r(X0)
| p(s(X0))
| pp(s(X0))
| ar(X0)
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_178215,c_796]) ).
cnf(c_178240,plain,
( ~ p(X0)
| ~ r(X0)
| p(s(X0))
| pp(s(X0))
| ar(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_178215,c_659]) ).
cnf(c_178243,plain,
( ~ qq(X0)
| ~ r(X0)
| p(s(X0))
| pp(s(X0))
| ar(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_178215,c_891]) ).
cnf(c_178267,plain,
( ~ ap(X0)
| p(s(X0))
| aq(X0)
| ar(X0)
| q(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_178237,c_615]) ).
cnf(c_181590,plain,
( ~ rpq4(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| ap(s(s(s(s(s(s(s(s(s(s(s(X0)))))))))))) ),
inference(instantiation,[status(thm)],[c_153123]) ).
cnf(c_182899,plain,
( rr(s(X0))
| ~ r(X0)
| ~ qq(X0)
| ~ ar(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_134537,c_52,c_154358]) ).
cnf(c_182900,plain,
( ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| rr(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_182899]) ).
cnf(c_182912,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_182900,c_1008]) ).
cnf(c_184641,plain,
( q(X0)
| ~ r(X0)
| ~ qq(X0)
| ~ pp(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_182912,c_176536,c_182912]) ).
cnf(c_184642,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ qq(X0)
| ~ r(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_184641]) ).
cnf(c_184644,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| ~ aq(X0)
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_184642]) ).
cnf(c_185574,plain,
( ~ q(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ qq(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| ~ r(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| qq(s(s(s(s(s(s(s(s(s(s(s(X0))))))))))))
| p(s(s(s(s(s(s(s(s(s(s(X0)))))))))))
| rr(s(s(s(s(s(s(s(s(s(s(X0))))))))))) ),
inference(instantiation,[status(thm)],[c_123573]) ).
cnf(c_185728,plain,
( p(s(X0))
| aq(X0)
| ar(X0)
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178267,c_53,c_178267]) ).
cnf(c_185883,plain,
( ar(X0)
| pp(s(X0))
| p(s(X0))
| ~ r(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178238,c_195,c_149,c_151,c_173,c_698,c_178215,c_178243,c_178240]) ).
cnf(c_185884,plain,
( ~ r(X0)
| p(s(X0))
| pp(s(X0))
| ar(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_185883]) ).
cnf(c_185908,plain,
( ~ r(X0)
| p(s(X0))
| ap(X0)
| ar(X0)
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_185884,c_313]) ).
cnf(c_185932,plain,
( ~ r(X0)
| ap(X0)
| ar(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_185908,c_63905]) ).
cnf(c_188504,plain,
( ~ qq(s(X0))
| ~ r(s(X0))
| ~ aq(X0)
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_184644,c_52,c_50,c_311,c_253,c_197,c_657,c_151894,c_163131]) ).
cnf(c_188511,plain,
( ~ r(s(X0))
| ~ aq(X0)
| ~ p(X0)
| q(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_915,c_188504]) ).
cnf(c_202467,plain,
( p(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_165058,c_140,c_51,c_50,c_311,c_255,c_196,c_303,c_304,c_590,c_596,c_647,c_707,c_743,c_826,c_891,c_943,c_991,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046,c_115373,c_130584]) ).
cnf(c_202468,plain,
( ~ q(X0)
| q(s(X0))
| p(X0) ),
inference(renaming,[status(thm)],[c_202467]) ).
cnf(c_208114,plain,
( ~ ar(s(X0))
| pp(s(X0))
| q(s(X0))
| r(s(X0))
| rr(s(X0))
| qrp1(s(X0))
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_83276,c_95,c_88,c_314,c_311,c_256,c_254,c_156,c_187,c_690,c_746,c_762,c_22749,c_22751,c_83276,c_173864,c_178215]) ).
cnf(c_208149,plain,
( ~ ar(s(X0))
| pp(s(X0))
| q(s(X0))
| qq(s(X0))
| r(s(X0))
| rr(s(X0))
| qp(X0) ),
inference(resolution,[status(thm)],[c_83,c_208114]) ).
cnf(c_209453,plain,
( ~ ar(X0)
| ~ pp(X0)
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_178087,c_51,c_314]) ).
cnf(c_209479,plain,
( q(X0)
| ~ ap(X0)
| ~ qq(X0)
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_178170,c_140,c_51,c_50,c_256,c_254,c_198,c_195,c_7226,c_7230,c_7228,c_7240,c_7268,c_7286,c_7285,c_7284,c_7314,c_7418,c_7430,c_7449,c_7471,c_7565,c_7673,c_7699,c_7743,c_7774,c_8118,c_8444,c_8456,c_8467,c_8788,c_9335,c_9369,c_9872,c_9870,c_9885,c_9921,c_9960,c_10053,c_10848,c_10852,c_11100,c_11085,c_11661,c_11671,c_11705,c_11900,c_12742,c_14109,c_14230,c_14223,c_14222,c_14221,c_14243,c_14253,c_15039,c_15027,c_15020,c_15480,c_15747,c_15755,c_15838,c_18640,c_18849,c_18860,c_19133,c_19860,c_20113,c_20386,c_20536,c_20974,c_21768,c_21928,c_21938,c_21987,c_22739,c_22749,c_22939,c_23662,c_23691,c_23817,c_23886,c_25762,c_26455,c_26449,c_26466,c_28085,c_28209,c_28214,c_28381,c_28575,c_28887,c_29872,c_30598,c_31236,c_31955,c_33875,c_34240,c_37887,c_38240,c_40165,c_44108,c_45104,c_45189,c_45182,c_47055,c_50527,c_53063,c_54206,c_62124,c_63152,c_63511,c_66929,c_67852,c_68796,c_69871,c_70149,c_70247,c_72073,c_74899,c_75504,c_78013,c_78238,c_79465,c_80152,c_86889,c_101346,c_109201,c_126480,c_126631,c_130564,c_130840,c_131433,c_138172,c_143411,c_144034,c_149883,c_151894,c_153123,c_162417,c_169263,c_181590,c_185574]) ).
cnf(c_209480,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_209479]) ).
cnf(c_209504,plain,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| pp(X0)
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_896,c_209480]) ).
cnf(c_209518,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ r(X0)
| q(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_209480,c_254]) ).
cnf(c_209524,plain,
( ~ ap(s(X0))
| ~ qq(s(X0))
| ~ qq(X0)
| ~ r(X0)
| q(s(X0))
| q(X0) ),
inference(resolution,[status(thm)],[c_209480,c_965]) ).
cnf(c_209535,plain,
( pp(s(X0))
| ~ r(X0)
| ~ ap(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_209504,c_140,c_51,c_50,c_254,c_195,c_576,c_7226,c_7230,c_7269,c_7268,c_7286,c_7285,c_7284,c_7314,c_7418,c_7430,c_7449,c_7471,c_7565,c_7674,c_7699,c_7743,c_7774,c_8118,c_8444,c_8456,c_8467,c_8788,c_9341,c_9872,c_9870,c_9885,c_9921,c_9960,c_10053,c_10848,c_10852,c_11094,c_11131,c_11661,c_11671,c_11900,c_12742,c_14109,c_14230,c_14223,c_14222,c_14221,c_14243,c_14253,c_15024,c_15020,c_15018,c_15480,c_15747,c_15755,c_15838,c_18640,c_18849,c_18860,c_19133,c_19860,c_20113,c_20386,c_20447,c_20536,c_20974,c_21768,c_21928,c_21938,c_21987,c_22739,c_22749,c_22939,c_23662,c_23691,c_23817,c_23886,c_25762,c_26455,c_26449,c_26466,c_28085,c_28209,c_28214,c_28381,c_28575,c_28889,c_30598,c_31236,c_31955,c_33875,c_34240,c_37887,c_38241,c_40165,c_44108,c_45186,c_45182,c_45180,c_47055,c_50527,c_53063,c_54206,c_62124,c_63152,c_63511,c_66929,c_67852,c_68796,c_69871,c_70149,c_70247,c_72073,c_73543,c_74899,c_75257,c_75504,c_78013,c_79465,c_80155,c_86889,c_96383,c_101346,c_109201,c_115340,c_126480,c_126631,c_127588,c_130565,c_130564,c_130840,c_131433,c_143411,c_144034,c_153123,c_162417,c_169263,c_178160,c_181590,c_185574]) ).
cnf(c_209536,plain,
( ~ ap(X0)
| ~ r(X0)
| pp(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_209535]) ).
cnf(c_209556,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_209536,c_1004]) ).
cnf(c_209561,plain,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_209536,c_901]) ).
cnf(c_209597,plain,
( q(s(X0))
| ~ r(X0)
| ~ qq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_209518,c_197,c_196,c_657,c_45302,c_165051,c_176430,c_209480,c_209524]) ).
cnf(c_209598,plain,
( ~ qq(s(X0))
| ~ r(X0)
| q(s(X0)) ),
inference(renaming,[status(thm)],[c_209597]) ).
cnf(c_209619,plain,
( ~ qq(X0)
| ~ r(X0)
| q(s(X0))
| aq(X0) ),
inference(resolution,[status(thm)],[c_209598,c_198]) ).
cnf(c_209625,plain,
( ~ aq(X0)
| ~ r(X0)
| q(s(X0))
| p(X0)
| pp(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_209598,c_914]) ).
cnf(c_209643,plain,
( ~ qq(X0)
| ~ r(X0)
| aq(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_209619,c_891]) ).
cnf(c_209694,plain,
( ~ ar(s(X0))
| ~ r(s(X0))
| p(s(X0))
| pp(s(X0))
| rr(s(X0))
| qrp2(s(X0))
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_116032,c_95,c_88,c_314,c_312,c_256,c_253,c_693,c_797,c_22749,c_22751,c_116032,c_173864,c_185884]) ).
cnf(c_209736,plain,
( ~ ar(s(X0))
| ~ r(s(X0))
| p(s(X0))
| pp(s(X0))
| qq(s(X0))
| rr(s(X0))
| qp(X0) ),
inference(resolution,[status(thm)],[c_90,c_209694]) ).
cnf(c_209796,plain,
( pp(X0)
| p(X0)
| q(s(X0))
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_209625,c_582,c_123485,c_202468]) ).
cnf(c_209797,plain,
( ~ aq(X0)
| q(s(X0))
| p(X0)
| pp(X0) ),
inference(renaming,[status(thm)],[c_209796]) ).
cnf(c_209817,plain,
( ~ aq(X0)
| ~ r(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_209797,c_796]) ).
cnf(c_210411,plain,
( ~ q(s(X0))
| q(s(s(X0)))
| p(s(X0))
| rr(s(X0)) ),
inference(instantiation,[status(thm)],[c_800]) ).
cnf(c_215646,plain,
( ~ q(s(X0))
| ~ qq(s(X0))
| q(s(s(X0)))
| p(s(X0)) ),
inference(instantiation,[status(thm)],[c_875]) ).
cnf(c_216268,plain,
( ~ r(X0)
| ~ qq(X0)
| ~ ar(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_176536,c_52,c_209643]) ).
cnf(c_216269,plain,
( ~ ar(X0)
| ~ qq(X0)
| ~ r(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_216268]) ).
cnf(c_216270,plain,
( ~ qq(X0)
| ~ r(X0)
| ap(X0)
| aq(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_53,c_216269]) ).
cnf(c_216298,plain,
( ~ rr(X0)
| ~ ap(X0)
| ~ qq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_209556,c_140,c_51,c_50,c_253,c_198,c_195,c_261,c_291,c_714,c_828,c_7226,c_7228,c_7269,c_7286,c_7285,c_7284,c_7314,c_7418,c_7430,c_7612,c_7608,c_7600,c_7590,c_7743,c_7774,c_8150,c_8456,c_8452,c_8450,c_8467,c_8788,c_9280,c_9254,c_9368,c_9872,c_9885,c_9921,c_9944,c_9947,c_9982,c_10604,c_10852,c_11101,c_11900,c_12677,c_12742,c_13706,c_13769,c_14100,c_14230,c_14225,c_14243,c_14253,c_15051,c_15042,c_15038,c_15747,c_15755,c_15838,c_16024,c_16849,c_18672,c_18776,c_18849,c_18860,c_18949,c_20113,c_20386,c_20446,c_20536,c_20638,c_21462,c_21928,c_21938,c_22737,c_22734,c_22749,c_22773,c_22939,c_23223,c_23817,c_25297,c_28074,c_31311,c_35526,c_37886,c_40015,c_45193,c_47044,c_50548,c_50575,c_51460,c_53006,c_54207,c_56707,c_60414,c_63511,c_65387,c_66084,c_67096,c_69165,c_69593,c_71476,c_78762,c_80155,c_91882,c_96254,c_109417,c_126631,c_130840,c_133421,c_144179,c_209643]) ).
cnf(c_216299,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_216298]) ).
cnf(c_217036,plain,
( ~ pr(s(s(s(s(s(X0))))))
| ~ aq(s(s(s(s(X0)))))
| ~ q(s(s(s(s(X0)))))
| ~ r(s(s(s(s(X0)))))
| ~ rr(s(s(s(s(X0)))))
| p(s(s(s(s(X0)))))
| pp(s(s(s(s(X0)))))
| qq(s(s(s(s(X0))))) ),
inference(instantiation,[status(thm)],[c_8797]) ).
cnf(c_221402,plain,
( ~ r(X0)
| ~ qq(X0)
| aq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_216270,c_209643]) ).
cnf(c_221403,plain,
( ~ qq(X0)
| ~ r(X0)
| aq(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_221402]) ).
cnf(c_221412,plain,
( ~ r(s(X0))
| ~ qq(X0)
| aq(s(X0))
| q(s(X0))
| aq(X0) ),
inference(superposition,[status(thm)],[c_198,c_221403]) ).
cnf(c_222133,plain,
( ~ qq(X0)
| ~ r(s(X0))
| q(s(X0))
| aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_221412,c_253,c_22752,c_209619,c_221412]) ).
cnf(c_222134,plain,
( ~ r(s(X0))
| ~ qq(X0)
| q(s(X0))
| aq(X0) ),
inference(renaming,[status(thm)],[c_222133]) ).
cnf(c_222136,plain,
( ~ ar(X0)
| ~ qq(X0)
| q(s(X0))
| aq(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_845,c_222134]) ).
cnf(c_244097,plain,
( ~ p(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_209561,c_103392,c_209561]) ).
cnf(c_244118,plain,
( ~ p(X0)
| ~ r(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_783,c_244097]) ).
cnf(c_244128,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| q(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_244097,c_256]) ).
cnf(c_244149,plain,
( ~ p(X0)
| ~ rr(X0)
| rr(s(X0))
| q(X0)
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_719,c_244118]) ).
cnf(c_244173,plain,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| q(X0)
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_903,c_244149]) ).
cnf(c_244202,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| q(s(X0))
| q(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_244173,c_244097]) ).
cnf(c_248984,plain,
( q(s(X0))
| ~ aq(s(X0))
| ~ rr(s(X0))
| ~ pr(X0)
| r(s(X0))
| pqr3(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_109179,c_81,c_74,c_255,c_254,c_197,c_196,c_260,c_262,c_582,c_584,c_22752,c_63523,c_109179,c_133262,c_185728,c_216299]) ).
cnf(c_248985,plain,
( ~ aq(s(X0))
| ~ rr(s(X0))
| ~ pr(X0)
| q(s(X0))
| r(s(X0))
| pqr3(s(X0)) ),
inference(renaming,[status(thm)],[c_248984]) ).
cnf(c_248999,plain,
( ~ pp(s(X0))
| ~ aq(s(X0))
| qq(s(X0))
| r(s(X0))
| rr(s(X0))
| pqr2(s(X0))
| pr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_109373,c_67,c_60,c_254,c_196,c_260,c_262,c_7224,c_7226,c_7270,c_7267,c_7286,c_7285,c_7284,c_7314,c_7309,c_7308,c_7418,c_7441,c_7456,c_7472,c_7743,c_7792,c_8307,c_8444,c_8443,c_8456,c_8467,c_8765,c_8757,c_8795,c_9240,c_9369,c_9368,c_9494,c_9499,c_9872,c_9866,c_9864,c_9885,c_9921,c_10848,c_10852,c_11103,c_11131,c_11705,c_14097,c_14173,c_15228,c_19298,c_19861,c_21153,c_22752,c_23495,c_25666,c_28074,c_30035,c_31258,c_44207,c_47909,c_50865,c_53122,c_56863,c_61458,c_63523,c_67259,c_69238,c_71172,c_74899,c_78925,c_86498,c_109373,c_115309,c_115301,c_130564,c_133262,c_173864,c_210411,c_217036]) ).
cnf(c_249000,plain,
( ~ aq(s(X0))
| ~ pp(s(X0))
| qq(s(X0))
| r(s(X0))
| rr(s(X0))
| pqr2(s(X0))
| pr(X0) ),
inference(renaming,[status(thm)],[c_248999]) ).
cnf(c_249074,plain,
( ~ rr(X0)
| ~ r(s(X0))
| ~ pp(s(X0))
| ~ p(s(X0))
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_244128,c_140,c_53,c_51,c_50,c_313,c_311,c_255,c_253,c_208,c_206,c_303,c_304,c_590,c_647,c_665,c_675,c_707,c_743,c_826,c_863,c_891,c_943,c_988,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046,c_78290,c_78606,c_86521,c_244128]) ).
cnf(c_249075,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0)
| ar(X0) ),
inference(renaming,[status(thm)],[c_249074]) ).
cnf(c_249077,plain,
( ~ rr(X0)
| ~ r(s(X0))
| ~ pp(s(X0))
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_249075,c_51,c_313,c_208,c_206,c_863,c_78290,c_78606,c_103392,c_209561,c_249075]) ).
cnf(c_249078,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(s(X0))
| ~ rr(X0) ),
inference(renaming,[status(thm)],[c_249077]) ).
cnf(c_249097,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ ar(X0)
| ~ rr(X0)
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_249078,c_579]) ).
cnf(c_249098,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(X0)
| ~ rr(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_249078,c_254]) ).
cnf(c_249124,plain,
( ~ p(s(X0))
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| ap(X0)
| ar(X0) ),
inference(resolution,[status(thm)],[c_249098,c_314]) ).
cnf(c_249138,plain,
( ~ p(s(X0))
| ~ ap(X0)
| ~ r(X0)
| ~ rr(X0)
| ar(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_249098,c_209536]) ).
cnf(c_252359,plain,
( ~ ar(X0)
| ~ qq(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_222136,c_52,c_195,c_222136]) ).
cnf(c_252361,plain,
( ~ qq(X0)
| ap(X0)
| aq(X0)
| pp(X0)
| q(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_53,c_252359]) ).
cnf(c_252362,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| pp(s(X0))
| q(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_252359]) ).
cnf(c_258784,plain,
( ~ rr(X0)
| ~ r(X0)
| ~ pp(X0)
| ~ p(s(X0))
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_249124,c_311,c_263,c_293,c_647,c_707,c_826,c_103392,c_209561,c_249124]) ).
cnf(c_258785,plain,
( ~ p(s(X0))
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| ar(X0) ),
inference(renaming,[status(thm)],[c_258784]) ).
cnf(c_259260,plain,
( q(s(X0))
| pp(s(X0))
| ~ aq(X0)
| ~ qq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_252362,c_52,c_50,c_311,c_255,c_197,c_196,c_155,c_167,c_186,c_582,c_657,c_879,c_45302,c_115358,c_165051,c_176430,c_178193,c_209480,c_209524,c_252362]) ).
cnf(c_259261,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| pp(s(X0))
| q(s(X0)) ),
inference(renaming,[status(thm)],[c_259260]) ).
cnf(c_259264,plain,
( ~ aq(X0)
| ~ p(X0)
| pp(s(X0))
| q(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_866,c_259261]) ).
cnf(c_259267,plain,
( ~ aq(X0)
| ~ p(X0)
| pp(s(X0))
| q(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_915,c_259261]) ).
cnf(c_263566,plain,
( q(s(X0))
| pp(s(X0))
| ~ aq(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_259267,c_50,c_311,c_170,c_155,c_167,c_582,c_115358,c_178193,c_259261,c_259264]) ).
cnf(c_263567,plain,
( ~ aq(X0)
| pp(s(X0))
| q(s(X0))
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_263566]) ).
cnf(c_263581,plain,
( ~ aq(X0)
| q(s(X0))
| ap(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_263567,c_313]) ).
cnf(c_264703,plain,
( q(s(X0))
| ~ aq(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_263581,c_50,c_313,c_263567]) ).
cnf(c_264704,plain,
( ~ aq(X0)
| q(s(X0))
| pp(X0)
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_264703]) ).
cnf(c_264715,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ qq(X0)
| pp(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_264704,c_882]) ).
cnf(c_264717,plain,
( ~ aq(X0)
| ~ p(X0)
| pp(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_264704,c_803]) ).
cnf(c_264720,plain,
( p(X0)
| ~ p(s(X0))
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_249097,c_78606]) ).
cnf(c_264721,plain,
( ~ p(s(X0))
| ~ ar(X0)
| p(X0) ),
inference(renaming,[status(thm)],[c_264720]) ).
cnf(c_264738,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ r(s(X0))
| ~ ar(X0)
| q(s(X0))
| q(X0)
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_244202,c_264721]) ).
cnf(c_264781,plain,
( ~ aq(s(X0))
| ~ rr(s(X0))
| ~ pr(X0)
| p(s(X0))
| q(s(X0))
| r(s(X0)) ),
inference(resolution,[status(thm)],[c_68,c_248985]) ).
cnf(c_264815,plain,
( ~ rr(s(X0))
| ~ pr(X0)
| p(s(X0))
| q(s(X0))
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_264781,c_51,c_312,c_254,c_201,c_203,c_582,c_584,c_147181,c_185728]) ).
cnf(c_264840,plain,
( ~ rr(X0)
| ~ pr(X0)
| p(s(X0))
| q(s(X0))
| r(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_264815,c_256]) ).
cnf(c_265392,plain,
( ~ p(s(X0))
| ap(s(X0))
| pp(s(X0))
| q(s(X0))
| r(s(X0))
| rr(s(X0))
| aq(X0) ),
inference(superposition,[status(thm)],[c_171435,c_264717]) ).
cnf(c_265393,plain,
( ~ p(s(X0))
| ~ ap(X0)
| pp(s(X0))
| q(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_264717]) ).
cnf(c_265398,plain,
( ~ p(X0)
| ~ qq(X0)
| pp(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_264715,c_255,c_253,c_260,c_262,c_882,c_947,c_22752,c_209619,c_221412,c_252359,c_252361,c_264704,c_265393]) ).
cnf(c_265401,plain,
( ~ qq(s(X0))
| ~ qq(X0)
| pp(s(X0))
| q(s(X0))
| r(s(X0))
| rr(s(X0))
| aq(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_154350,c_265398]) ).
cnf(c_265417,plain,
( ~ qq(s(X0))
| ~ p(X0)
| pp(s(X0))
| q(s(X0))
| r(s(X0))
| rr(s(X0))
| ap(X0) ),
inference(superposition,[status(thm)],[c_312,c_265398]) ).
cnf(c_268296,plain,
( p(s(X0))
| q(s(X0))
| r(s(X0))
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_264840,c_51,c_312,c_254,c_201,c_203,c_582,c_584,c_147181,c_185728]) ).
cnf(c_268299,plain,
( r(s(X0))
| q(s(X0))
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_268296,c_51,c_312,c_201,c_203,c_147181,c_268296]) ).
cnf(c_268300,plain,
( p(s(X0))
| q(s(X0))
| r(s(X0)) ),
inference(renaming,[status(thm)],[c_268299]) ).
cnf(c_268376,plain,
( p(s(X0))
| q(s(X0))
| ar(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_268300,c_253]) ).
cnf(c_268377,plain,
( ~ p(X0)
| p(s(X0))
| q(s(X0))
| qq(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_268300,c_781]) ).
cnf(c_268380,plain,
( ~ q(X0)
| ~ rr(X0)
| p(s(X0))
| q(s(X0))
| r(X0) ),
inference(resolution,[status(thm)],[c_268300,c_854]) ).
cnf(c_269233,plain,
( ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_268377,c_140,c_51,c_312,c_255,c_253,c_198,c_279,c_287,c_309,c_310,c_584,c_819,c_939,c_7226,c_7260,c_7270,c_7267,c_7286,c_7285,c_7284,c_7314,c_7309,c_7308,c_7418,c_7430,c_7441,c_7743,c_7772,c_7792,c_8001,c_8444,c_8456,c_8766,c_8765,c_8757,c_8795,c_9240,c_9494,c_11808,c_13550,c_13558,c_15240,c_15481,c_15848,c_17152,c_19297,c_21153,c_22749,c_23495,c_25803,c_28074,c_31258,c_63511,c_66467,c_78068,c_78925,c_86495,c_112357,c_115309,c_115305,c_126631,c_130584,c_185728,c_215646,c_217036,c_268376]) ).
cnf(c_269436,plain,
( ~ ap(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_269233,c_924]) ).
cnf(c_269443,plain,
( q(s(X0))
| p(s(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_268380,c_50,c_196,c_991,c_115373,c_130584]) ).
cnf(c_269444,plain,
( ~ q(X0)
| p(s(X0))
| q(s(X0)) ),
inference(renaming,[status(thm)],[c_269443]) ).
cnf(c_269479,plain,
( ~ aq(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_269444,c_976]) ).
cnf(c_269483,plain,
( ~ ap(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_269436,c_140,c_51,c_50,c_255,c_253,c_198,c_196,c_681,c_924,c_7226,c_7270,c_7267,c_7286,c_7285,c_7284,c_7314,c_7309,c_7308,c_7430,c_7441,c_7472,c_7743,c_7772,c_7792,c_8444,c_8443,c_8456,c_8467,c_8765,c_8761,c_8753,c_8795,c_9265,c_9240,c_9369,c_9368,c_9494,c_9499,c_9872,c_9871,c_9885,c_9921,c_10848,c_10852,c_11051,c_11103,c_11131,c_14097,c_14173,c_15228,c_19297,c_19861,c_21153,c_22749,c_23495,c_25666,c_27956,c_28074,c_30036,c_31258,c_44207,c_47909,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172,c_73543,c_74899,c_86495,c_115306,c_130564,c_210411,c_217036]) ).
cnf(c_269486,plain,
( ~ ap(X0)
| ~ qq(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_269483,c_51,c_50,c_255,c_253,c_198,c_195,c_260,c_262,c_265401,c_269483]) ).
cnf(c_269573,plain,
( ~ aq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_269479,c_117887]) ).
cnf(c_269756,plain,
( q(s(X0))
| pp(s(X0))
| r(s(X0))
| rr(s(X0))
| qp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_208149,c_53,c_52,c_51,c_312,c_311,c_254,c_198,c_196,c_201,c_203,c_144269,c_147181,c_244173,c_263567,c_265393,c_265417,c_268296]) ).
cnf(c_269757,plain,
( pp(s(X0))
| q(s(X0))
| r(s(X0))
| rr(s(X0))
| qp(X0) ),
inference(renaming,[status(thm)],[c_269756]) ).
cnf(c_269784,plain,
( pp(s(X0))
| q(s(X0))
| r(s(X0))
| ar(X0)
| rr(X0)
| qp(X0) ),
inference(resolution,[status(thm)],[c_269757,c_255]) ).
cnf(c_269794,plain,
( rr(X0)
| ar(X0)
| r(s(X0))
| q(s(X0))
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_269784,c_53,c_255,c_254,c_63511,c_63522,c_263567,c_265392,c_268296]) ).
cnf(c_269795,plain,
( pp(s(X0))
| q(s(X0))
| r(s(X0))
| ar(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_269794]) ).
cnf(c_269823,plain,
( pp(s(X0))
| q(s(X0))
| ar(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_269795,c_253]) ).
cnf(c_269854,plain,
( pp(s(X0))
| aq(X0)
| ar(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_269823,c_195]) ).
cnf(c_269856,plain,
( ~ p(X0)
| pp(s(X0))
| ar(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_269823,c_803]) ).
cnf(c_269869,plain,
( aq(X0)
| ar(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_269854,c_53,c_195,c_260,c_262,c_269823]) ).
cnf(c_274187,plain,
( r(X0)
| ~ p(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_188511,c_253,c_207,c_239,c_653,c_741,c_863,c_252359]) ).
cnf(c_274188,plain,
( ~ r(s(X0))
| ~ p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_274187]) ).
cnf(c_274672,plain,
( ~ ap(X0)
| q(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_265393,c_51,c_50,c_254,c_196,c_260,c_262,c_63511,c_265392,c_268300]) ).
cnf(c_274688,plain,
( ~ ap(X0)
| q(s(X0))
| r(s(X0))
| ar(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_274672,c_255]) ).
cnf(c_277079,plain,
( ~ ap(X0)
| ~ p(X0)
| ar(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_269856,c_615]) ).
cnf(c_279638,plain,
( ~ pr(X0)
| ~ rq(X0)
| ~ qp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_71501,c_51,c_138,c_3220,c_3935,c_70755]) ).
cnf(c_279639,plain,
( ~ qp(s(X0))
| ~ rq(X0)
| ~ pr(X0) ),
inference(renaming,[status(thm)],[c_279638]) ).
cnf(c_282732,plain,
( ~ aq(s(X0))
| q(s(s(X0)))
| p(s(X0))
| r(s(X0)) ),
inference(instantiation,[status(thm)],[c_582]) ).
cnf(c_285815,plain,
( r(s(X0))
| q(s(X0))
| ~ ap(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_274688,c_51,c_274688]) ).
cnf(c_285816,plain,
( ~ ap(X0)
| q(s(X0))
| r(s(X0))
| rr(X0) ),
inference(renaming,[status(thm)],[c_285815]) ).
cnf(c_285824,plain,
( ~ ap(X0)
| ~ qq(X0)
| q(s(X0))
| aq(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_285816,c_222134]) ).
cnf(c_285836,plain,
( ~ ap(X0)
| q(s(X0))
| ar(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_285816,c_253]) ).
cnf(c_285849,plain,
( q(s(X0))
| ~ ap(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_285836,c_51,c_50,c_196,c_269869]) ).
cnf(c_285850,plain,
( ~ ap(X0)
| q(s(X0))
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_285849]) ).
cnf(c_285866,plain,
( ~ ap(X0)
| aq(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_285850,c_195]) ).
cnf(c_285877,plain,
( ~ ap(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_285866,c_50,c_285866]) ).
cnf(c_285881,plain,
( ~ ar(X0)
| q(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_285877]) ).
cnf(c_285910,plain,
( ~ ar(X0)
| ~ qq(X0)
| ~ rr(X0)
| q(s(X0))
| r(s(X0))
| q(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_285881,c_860]) ).
cnf(c_285913,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ qq(X0)
| q(s(X0))
| r(s(X0))
| rr(X0) ),
inference(superposition,[status(thm)],[c_285881,c_1008]) ).
cnf(c_285918,plain,
( ~ qq(X0)
| q(s(X0))
| aq(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_285824,c_53,c_196,c_209619,c_216299,c_222134,c_252361,c_269869,c_285816,c_285913,c_285910]) ).
cnf(c_285921,plain,
( aq(X0)
| q(s(X0))
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_285918,c_53,c_196,c_209619,c_216299,c_222134,c_285910,c_285918]) ).
cnf(c_285922,plain,
( ~ qq(X0)
| q(s(X0))
| aq(X0) ),
inference(renaming,[status(thm)],[c_285921]) ).
cnf(c_285938,plain,
( ~ qq(X0)
| aq(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_285922,c_195]) ).
cnf(c_285945,plain,
( ~ aq(X0)
| ~ p(X0)
| aq(s(X0))
| q(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_915,c_285938]) ).
cnf(c_285946,plain,
( ~ p(X0)
| ~ qq(X0)
| aq(s(X0))
| q(s(X0))
| q(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_746,c_285938]) ).
cnf(c_288676,plain,
( ~ ar(s(X0))
| ~ ar(X0) ),
inference(superposition,[status(thm)],[c_142,c_51]) ).
cnf(c_288773,plain,
( p(s(X0))
| ~ p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_584,c_269233]) ).
cnf(c_288774,negated_conjecture,
( ~ p(X0)
| p(s(X0))
| r(X0) ),
inference(renaming,[status(thm)],[c_288773]) ).
cnf(c_288784,plain,
( q(s(X0))
| ~ q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_596,c_140,c_51,c_50,c_311,c_255,c_196,c_167,c_303,c_157,c_304,c_590,c_596,c_647,c_707,c_743,c_826,c_891,c_943,c_991,c_999,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046,c_63523,c_115373,c_130584,c_285945]) ).
cnf(c_288785,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| r(X0) ),
inference(renaming,[status(thm)],[c_288784]) ).
cnf(c_288821,plain,
( p(X0)
| q(s(X0))
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_800,c_140,c_51,c_50,c_311,c_255,c_196,c_303,c_304,c_590,c_596,c_647,c_707,c_743,c_826,c_891,c_943,c_991,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046,c_115373,c_130584]) ).
cnf(c_288822,negated_conjecture,
( ~ q(X0)
| q(s(X0))
| p(X0) ),
inference(renaming,[status(thm)],[c_288821]) ).
cnf(c_288832,negated_conjecture,
( ~ p(s(X0))
| p(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_768,c_140,c_51,c_50,c_311,c_255,c_303,c_304,c_590,c_647,c_707,c_716,c_743,c_826,c_891,c_943,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046,c_78606,c_269869]) ).
cnf(c_288841,plain,
( ~ p(X0)
| ~ r(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_781,c_274188]) ).
cnf(c_288842,negated_conjecture,
( ~ r(s(X0))
| ~ p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_288841]) ).
cnf(c_288945,negated_conjecture,
( ~ pp(X0)
| pp(s(X0))
| p(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_695,c_314,c_290,c_178193,c_209453,c_269869]) ).
cnf(c_288963,negated_conjecture,
( ~ p(X0)
| rr(s(X0))
| q(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_719,c_755,c_133262,c_244149,c_244173,c_269869,c_285836,c_285945]) ).
cnf(c_288966,plain,
( q(X0)
| rr(s(X0))
| ~ p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_288963,c_882,c_63523,c_144269,c_285938,c_285946,c_288963]) ).
cnf(c_288967,negated_conjecture,
( ~ p(X0)
| rr(s(X0))
| q(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_288966]) ).
cnf(c_288973,plain,
( ~ p(X0)
| ar(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_288967,c_255]) ).
cnf(c_289001,negated_conjecture,
( ~ r(s(X0))
| ~ qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_970,c_52,c_253,c_970,c_285938]) ).
cnf(c_289021,plain,
( ~ qq(X0)
| ~ pp(s(X0))
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1004,c_50,c_313,c_260,c_262,c_298,c_294,c_296,c_292,c_645,c_269486,c_285938]) ).
cnf(c_289022,negated_conjecture,
( ~ pp(s(X0))
| ~ qq(X0)
| pp(X0) ),
inference(renaming,[status(thm)],[c_289021]) ).
cnf(c_289044,negated_conjecture,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_903,c_52,c_51,c_312,c_195,c_78290,c_285881]) ).
cnf(c_289073,plain,
( ~ ap(X0)
| ~ p(s(X0))
| ~ r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_665,c_140,c_51,c_50,c_311,c_255,c_254,c_195,c_265,c_263,c_272,c_303,c_304,c_590,c_647,c_707,c_714,c_743,c_826,c_891,c_943,c_7226,c_7232,c_7230,c_7229,c_7238,c_7248,c_7244,c_7260,c_7267,c_7286,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7774,c_7793,c_7792,c_8001,c_8150,c_8444,c_8456,c_8452,c_8450,c_8467,c_8786,c_8799,c_9341,c_9335,c_9368,c_9494,c_9872,c_9885,c_9921,c_9944,c_9947,c_9982,c_10051,c_10269,c_10604,c_10848,c_10852,c_11079,c_11799,c_13549,c_13558,c_14100,c_14173,c_15228,c_15241,c_15481,c_15848,c_16849,c_17152,c_19298,c_19297,c_19861,c_21153,c_21150,c_22749,c_23497,c_23495,c_23510,c_25669,c_25810,c_30033,c_30046,c_31258,c_44207,c_45193,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172,c_71229,c_249138]) ).
cnf(c_289074,negated_conjecture,
( ~ p(s(X0))
| ~ ap(X0)
| ~ r(X0) ),
inference(renaming,[status(thm)],[c_289073]) ).
cnf(c_289150,plain,
( pp(s(X0))
| ~ ap(X0)
| q(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_810,c_50,c_195,c_209536,c_285850]) ).
cnf(c_289151,negated_conjecture,
( ~ ap(X0)
| pp(s(X0))
| q(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_289150]) ).
cnf(c_289158,plain,
( ~ ap(X0)
| q(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_289151,c_615]) ).
cnf(c_289164,plain,
( q(X0)
| ~ qq(X0)
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_812,c_50,c_285938]) ).
cnf(c_289165,negated_conjecture,
( ~ ap(X0)
| ~ qq(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_289164]) ).
cnf(c_289168,plain,
( ~ qq(s(X0))
| ~ ar(X0)
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_289165]) ).
cnf(c_289176,negated_conjecture,
( ~ ap(X0)
| p(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_817,c_140,c_51,c_255,c_253,c_259,c_261,c_701,c_817,c_7226,c_7270,c_7267,c_7286,c_7285,c_7284,c_7314,c_7309,c_7308,c_7418,c_7430,c_7441,c_7449,c_7743,c_7792,c_8265,c_8444,c_8443,c_8456,c_8467,c_8765,c_8761,c_8757,c_9265,c_9240,c_9369,c_9368,c_9494,c_9499,c_9872,c_9871,c_9885,c_9921,c_10848,c_10852,c_11051,c_11103,c_11131,c_13051,c_14097,c_14173,c_15228,c_19297,c_19861,c_21153,c_22749,c_23495,c_25666,c_28074,c_30036,c_31258,c_44207,c_47909,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172,c_74899,c_78925,c_86495,c_115309,c_126631,c_130564,c_217036,c_282732]) ).
cnf(c_289187,plain,
( ~ ap(X0)
| p(X0)
| pp(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_289176,c_288832]) ).
cnf(c_289212,plain,
( q(X0)
| ~ qq(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_845,c_52,c_285938]) ).
cnf(c_289213,negated_conjecture,
( ~ ar(X0)
| ~ qq(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_289212]) ).
cnf(c_289215,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| q(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_289213]) ).
cnf(c_289243,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ p(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_949,c_52,c_51,c_312,c_195,c_205,c_653,c_209453,c_216269,c_264738,c_274188]) ).
cnf(c_289269,negated_conjecture,
( ~ aq(X0)
| q(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_868,c_50,c_313,c_209797,c_259264]) ).
cnf(c_289307,negated_conjecture,
( ~ ap(X0)
| pp(s(X0))
| pp(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_894,c_51,c_50,c_681,c_269869]) ).
cnf(c_289343,plain,
( ~ ar(X0)
| ~ r(s(X0))
| ~ qq(X0)
| pp(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_952,c_952,c_289213]) ).
cnf(c_289344,negated_conjecture,
( ~ r(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| pp(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_289343]) ).
cnf(c_289367,plain,
( ~ pp(X0)
| ~ ap(X0)
| ~ pp(s(X0))
| p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_832,c_140,c_51,c_50,c_311,c_255,c_253,c_196,c_303,c_269,c_304,c_588,c_590,c_596,c_647,c_707,c_716,c_743,c_826,c_832,c_891,c_943,c_991,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7270,c_7267,c_7286,c_7285,c_7284,c_7314,c_7309,c_7308,c_7306,c_7302,c_7297,c_7418,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7772,c_7793,c_7792,c_8001,c_8444,c_8443,c_8456,c_8467,c_8765,c_8761,c_8757,c_8799,c_8795,c_9240,c_9335,c_9369,c_9368,c_9494,c_9499,c_9872,c_9871,c_9885,c_9921,c_10051,c_10269,c_10848,c_10852,c_11051,c_11103,c_11131,c_11799,c_13549,c_13558,c_14097,c_14173,c_15228,c_15241,c_15481,c_15848,c_17152,c_19298,c_19297,c_19861,c_21153,c_21150,c_22749,c_23497,c_23495,c_23510,c_25666,c_25810,c_28074,c_30036,c_30046,c_31258,c_44207,c_47909,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172,c_73543,c_74899,c_78925,c_86495,c_115309,c_115305,c_115373,c_126631,c_130564,c_130584,c_210411,c_217036]) ).
cnf(c_289368,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ pp(X0)
| p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_289367]) ).
cnf(c_289377,plain,
( ~ ap(X0)
| ~ pp(X0)
| p(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_288945,c_289368]) ).
cnf(c_289390,plain,
( q(X0)
| ~ qq(s(X0))
| ~ qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_879,c_53,c_197,c_196,c_195,c_153,c_600,c_659,c_765,c_882,c_209619,c_216299,c_222134,c_252361,c_269869,c_285816,c_285913,c_285910,c_289215]) ).
cnf(c_289391,negated_conjecture,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0) ),
inference(renaming,[status(thm)],[c_289390]) ).
cnf(c_289418,negated_conjecture,
( ~ aq(X0)
| ~ p(X0)
| ~ pp(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_191,c_979,c_63523,c_285945]) ).
cnf(c_289420,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ ap(X0)
| qq(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_289418]) ).
cnf(c_289441,plain,
( ~ qq(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_898,c_140,c_51,c_50,c_313,c_311,c_255,c_253,c_196,c_260,c_262,c_266,c_264,c_303,c_269,c_304,c_298,c_294,c_296,c_292,c_588,c_590,c_596,c_645,c_647,c_707,c_716,c_743,c_826,c_832,c_891,c_943,c_991,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7270,c_7267,c_7286,c_7285,c_7284,c_7314,c_7309,c_7308,c_7306,c_7302,c_7297,c_7418,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7772,c_7793,c_7792,c_8001,c_8444,c_8443,c_8456,c_8467,c_8765,c_8761,c_8757,c_8799,c_8795,c_9240,c_9335,c_9369,c_9368,c_9494,c_9499,c_9872,c_9871,c_9885,c_9921,c_10051,c_10269,c_10848,c_10852,c_11051,c_11103,c_11131,c_11799,c_13549,c_13558,c_14097,c_14173,c_15228,c_15241,c_15481,c_15848,c_17152,c_19298,c_19297,c_19861,c_21153,c_21150,c_22749,c_23497,c_23495,c_23510,c_25666,c_25810,c_28074,c_30036,c_30046,c_31258,c_44207,c_47909,c_50865,c_53122,c_56863,c_61458,c_63511,c_67259,c_69238,c_71172,c_71210,c_73543,c_74899,c_78925,c_86495,c_115309,c_115305,c_115373,c_126631,c_130564,c_130584,c_210411,c_217036,c_269486,c_285938,c_289165]) ).
cnf(c_289442,negated_conjecture,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ qq(X0) ),
inference(renaming,[status(thm)],[c_289441]) ).
cnf(c_289484,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ rr(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_918,c_144,c_146,c_180,c_918,c_976,c_988,c_289215]) ).
cnf(c_289486,plain,
( ~ aq(X0)
| ~ r(X0)
| ~ rr(X0)
| p(X0)
| pp(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_914,c_289484]) ).
cnf(c_289493,negated_conjecture,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_921,c_195,c_149,c_189,c_177,c_176,c_600,c_755,c_882,c_921,c_289215]) ).
cnf(c_289511,negated_conjecture,
( ~ ap(X0)
| pp(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_310,c_51,c_50,c_255,c_253,c_197,c_269486,c_289176,c_289307,c_289420]) ).
cnf(c_289515,plain,
( ~ ar(X0)
| pp(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_289511]) ).
cnf(c_289541,plain,
( ~ ar(X0)
| q(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_289158]) ).
cnf(c_289550,plain,
( ~ qq(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_289168,c_53,c_197,c_196,c_209619,c_216299,c_222134,c_252361,c_269869,c_285816,c_285913,c_285910,c_289215]) ).
cnf(c_289558,plain,
( ~ aq(X0)
| ~ p(X0)
| q(s(X0))
| qq(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_915,c_289550]) ).
cnf(c_289667,plain,
( ~ ap(X0)
| p(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289377,c_289377,c_289511]) ).
cnf(c_289671,plain,
( ~ ar(X0)
| p(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_289667]) ).
cnf(c_289681,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| pp(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_289515,c_668]) ).
cnf(c_289685,plain,
( q(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_289541,c_53,c_51,c_312,c_311,c_256,c_254,c_201,c_203,c_167,c_157,c_999,c_133262,c_147181,c_268296,c_274672,c_285881,c_285945,c_288973]) ).
cnf(c_289692,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ r(X0)
| ~ rr(X0)
| q(s(X0))
| r(s(X0))
| q(X0) ),
inference(superposition,[status(thm)],[c_289685,c_908]) ).
cnf(c_289693,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ rr(X0)
| q(s(X0))
| r(s(X0))
| p(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_289685,c_851]) ).
cnf(c_289694,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| q(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_289685,c_668]) ).
cnf(c_289695,plain,
( ~ pp(X0)
| ~ qq(X0)
| q(s(X0))
| r(s(X0))
| rr(X0) ),
inference(superposition,[status(thm)],[c_289685,c_1008]) ).
cnf(c_289697,plain,
( q(s(X0))
| r(s(X0))
| ar(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_289685,c_255]) ).
cnf(c_289712,plain,
( q(s(X0))
| ar(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_289697,c_253]) ).
cnf(c_289718,plain,
( ~ q(X0)
| q(s(X0))
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_289694,c_52,c_254,c_196,c_288785]) ).
cnf(c_289781,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ rr(X0)
| p(s(X0))
| r(s(X0))
| p(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_289671,c_851]) ).
cnf(c_289782,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| p(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_289671,c_668]) ).
cnf(c_289840,plain,
( ~ ap(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289187,c_51,c_50,c_255,c_253,c_197,c_279,c_288,c_287,c_584,c_269869,c_289420,c_289511,c_289667]) ).
cnf(c_289844,plain,
( ~ ar(X0)
| qq(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_289840]) ).
cnf(c_289854,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| qq(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_289844,c_668]) ).
cnf(c_289856,plain,
( ~ ar(X0)
| qq(s(X0))
| r(s(X0))
| p(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_289844,c_629]) ).
cnf(c_289923,plain,
( ~ qq(X0)
| q(s(X0))
| r(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289695,c_52,c_285922,c_289697]) ).
cnf(c_289929,plain,
( ~ ar(X0)
| ~ qq(X0)
| q(s(X0))
| pp(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_289923,c_289344]) ).
cnf(c_289973,plain,
( ~ ar(X0)
| ~ qq(X0)
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_289929,c_53,c_52,c_196,c_209619,c_216299,c_222134,c_252361,c_269869,c_285816,c_285913,c_285910]) ).
cnf(c_290038,plain,
( q(s(X0))
| ~ aq(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289558,c_52,c_289712]) ).
cnf(c_290039,plain,
( ~ aq(X0)
| q(s(X0))
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_290038]) ).
cnf(c_290070,plain,
( ~ r(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| p(s(X0))
| pp(s(X0))
| qq(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_289486]) ).
cnf(c_290092,plain,
( pp(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289681,c_205,c_653,c_289681]) ).
cnf(c_290093,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| pp(s(X0)) ),
inference(renaming,[status(thm)],[c_290092]) ).
cnf(c_290101,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| ~ qq(X0)
| pp(X0) ),
inference(superposition,[status(thm)],[c_290093,c_289022]) ).
cnf(c_290103,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| ap(X0)
| pp(X0) ),
inference(superposition,[status(thm)],[c_290093,c_313]) ).
cnf(c_290110,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290103,c_51,c_290103]) ).
cnf(c_290111,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| pp(X0) ),
inference(renaming,[status(thm)],[c_290110]) ).
cnf(c_290113,plain,
( ~ p(X0)
| ~ q(X0)
| ap(X0)
| aq(X0)
| pp(X0) ),
inference(superposition,[status(thm)],[c_53,c_290111]) ).
cnf(c_290114,plain,
( ~ p(s(X0))
| ~ q(s(X0))
| ~ aq(X0)
| pp(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_290111]) ).
cnf(c_290179,plain,
( ~ p(X0)
| ~ ar(X0)
| ~ qq(X0)
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290101,c_52,c_285938,c_290101]) ).
cnf(c_290180,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| pp(X0) ),
inference(renaming,[status(thm)],[c_290179]) ).
cnf(c_290183,plain,
( ~ p(s(X0))
| ~ qq(s(X0))
| ~ aq(X0)
| pp(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_290180]) ).
cnf(c_290208,plain,
( ~ aq(X0)
| ~ qq(s(X0))
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290183,c_50,c_313,c_311,c_675,c_289215,c_289493,c_290114]) ).
cnf(c_290209,plain,
( ~ p(s(X0))
| ~ qq(s(X0))
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_290208]) ).
cnf(c_290215,plain,
( ~ p(s(X0))
| ~ aq(X0)
| ~ p(X0)
| qq(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_915,c_290209]) ).
cnf(c_290254,plain,
( ~ p(X0)
| p(s(X0))
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_289782,c_51,c_312,c_254,c_269233]) ).
cnf(c_290261,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ pp(X0)
| p(s(X0)) ),
inference(superposition,[status(thm)],[c_290254,c_289243]) ).
cnf(c_290276,plain,
( ~ p(X0)
| ~ ar(X0)
| p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290261,c_51,c_312]) ).
cnf(c_290277,plain,
( ~ ar(X0)
| ~ p(X0)
| p(s(X0)) ),
inference(renaming,[status(thm)],[c_290276]) ).
cnf(c_290312,plain,
( qq(s(X0))
| ~ q(X0)
| ~ p(X0)
| ~ ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289854,c_205,c_653,c_289854]) ).
cnf(c_290313,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| qq(s(X0)) ),
inference(renaming,[status(thm)],[c_290312]) ).
cnf(c_290329,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| aq(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_290313,c_197]) ).
cnf(c_290332,plain,
( ~ q(X0)
| ~ p(X0)
| ~ ar(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290329,c_52,c_290329]) ).
cnf(c_290333,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_290332]) ).
cnf(c_290335,plain,
( ~ p(X0)
| ~ q(X0)
| ap(X0)
| aq(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_53,c_290333]) ).
cnf(c_290336,plain,
( ~ p(s(X0))
| ~ q(s(X0))
| ~ aq(X0)
| qq(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_290333]) ).
cnf(c_290348,plain,
( ~ aq(X0)
| ~ q(s(X0))
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290336,c_290209,c_290336]) ).
cnf(c_290349,plain,
( ~ p(s(X0))
| ~ q(s(X0))
| ~ aq(X0) ),
inference(renaming,[status(thm)],[c_290348]) ).
cnf(c_290353,plain,
( ~ p(s(X0))
| ~ aq(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_290039,c_290349]) ).
cnf(c_290362,plain,
( ~ p(s(X0))
| ~ aq(X0)
| ~ q(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_288785,c_290349]) ).
cnf(c_290367,plain,
( ~ p(X0)
| ~ aq(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290215,c_130584,c_290353]) ).
cnf(c_290368,plain,
( ~ aq(X0)
| ~ p(X0)
| r(X0)
| rr(X0) ),
inference(renaming,[status(thm)],[c_290367]) ).
cnf(c_290369,plain,
( ~ p(s(X0))
| ~ ap(X0)
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_290368]) ).
cnf(c_290371,plain,
( ~ ap(X0)
| r(s(X0))
| rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290369,c_51,c_254,c_91882,c_269233,c_289377,c_289511,c_290369]) ).
cnf(c_290383,plain,
( ~ ap(X0)
| r(s(X0))
| ar(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_290371,c_255]) ).
cnf(c_290399,plain,
( r(s(X0))
| ~ ap(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290383,c_51,c_290383]) ).
cnf(c_290400,plain,
( ~ ap(X0)
| r(s(X0))
| rr(X0) ),
inference(renaming,[status(thm)],[c_290399]) ).
cnf(c_290412,plain,
( ~ ap(X0)
| ar(X0)
| r(X0)
| rr(X0) ),
inference(superposition,[status(thm)],[c_290400,c_253]) ).
cnf(c_290416,plain,
( ~ ap(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290412,c_51,c_290412]) ).
cnf(c_290420,plain,
( ~ ar(X0)
| r(s(X0))
| rr(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_290416]) ).
cnf(c_290430,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0)
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_290420,c_668]) ).
cnf(c_290431,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ qq(X0)
| r(s(X0))
| rr(X0) ),
inference(superposition,[status(thm)],[c_290420,c_1008]) ).
cnf(c_290474,plain,
( ~ aq(X0)
| ~ p(X0)
| ~ q(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_288774,c_290362]) ).
cnf(c_290478,plain,
( ~ p(s(X0))
| ~ q(s(X0))
| ~ ap(X0)
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_290474]) ).
cnf(c_290480,plain,
( ~ p(X0)
| ~ q(X0)
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290430,c_53,c_289718,c_290254,c_290349,c_290430,c_290478]) ).
cnf(c_290488,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ q(X0) ),
inference(superposition,[status(thm)],[c_290480,c_670]) ).
cnf(c_290492,plain,
( ~ p(X0)
| ~ q(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_290480,c_288842]) ).
cnf(c_290501,plain,
( ~ q(s(X0))
| ~ p(X0)
| r(s(X0))
| r(X0) ),
inference(superposition,[status(thm)],[c_288774,c_290492]) ).
cnf(c_290503,plain,
( ~ q(s(X0))
| ~ p(X0)
| r(s(X0))
| ap(X0) ),
inference(superposition,[status(thm)],[c_312,c_290492]) ).
cnf(c_290510,plain,
( ~ p(X0)
| ~ q(X0)
| ap(X0)
| aq(X0) ),
inference(superposition,[status(thm)],[c_53,c_290488]) ).
cnf(c_290525,plain,
( ~ q(s(X0))
| ~ p(X0)
| ap(s(X0))
| aq(s(X0))
| ap(X0) ),
inference(superposition,[status(thm)],[c_312,c_290510]) ).
cnf(c_290531,plain,
( ~ p(X0)
| ~ q(s(X0))
| ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290503,c_53,c_312,c_195,c_208,c_149,c_206,c_63511,c_63522,c_78290,c_133262,c_274188,c_290503,c_290525]) ).
cnf(c_290532,plain,
( ~ q(s(X0))
| ~ p(X0)
| ap(X0) ),
inference(renaming,[status(thm)],[c_290531]) ).
cnf(c_290537,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ qq(X0)
| ap(X0) ),
inference(superposition,[status(thm)],[c_289973,c_290532]) ).
cnf(c_290564,plain,
( ~ p(X0)
| ~ q(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290501,c_50,c_195,c_290492,c_290532]) ).
cnf(c_290565,plain,
( ~ q(s(X0))
| ~ p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_290564]) ).
cnf(c_290577,plain,
( ~ aq(X0)
| ~ p(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_289269,c_290565]) ).
cnf(c_290586,plain,
( ~ p(s(X0))
| ~ ap(X0)
| pp(s(X0))
| qq(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_140,c_290577]) ).
cnf(c_290599,plain,
( ~ ap(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290478,c_51,c_50,c_253,c_196,c_260,c_262,c_289074,c_289550,c_290478,c_290586]) ).
cnf(c_290600,plain,
( ~ p(s(X0))
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_290599]) ).
cnf(c_290601,plain,
( ~ p(s(a))
| ~ ap(a) ),
inference(instantiation,[status(thm)],[c_290600]) ).
cnf(c_290604,plain,
( ~ ap(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_289176,c_290600]) ).
cnf(c_290607,plain,
( ~ ap(X0)
| ~ p(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_288774,c_290600]) ).
cnf(c_290608,plain,
( ~ ap(X0)
| q(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_576,c_290600]) ).
cnf(c_290635,plain,
( p(X0)
| r(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_289693,c_51,c_312,c_311,c_201,c_203,c_147181,c_268296,c_290600]) ).
cnf(c_290636,plain,
( q(s(X0))
| r(s(X0))
| p(X0) ),
inference(renaming,[status(thm)],[c_290635]) ).
cnf(c_290648,plain,
( q(s(X0))
| ar(X0)
| p(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_290636,c_253]) ).
cnf(c_290678,plain,
( ~ ar(X0)
| q(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_290608]) ).
cnf(c_290687,plain,
( ~ p(s(X0))
| ~ ar(X0)
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_290607]) ).
cnf(c_290689,plain,
( ~ ar(X0)
| pp(s(X0))
| qq(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_142,c_290604]) ).
cnf(c_290731,plain,
( ~ ar(X0)
| ~ p(X0)
| q(s(X0))
| r(X0) ),
inference(superposition,[status(thm)],[c_290678,c_288842]) ).
cnf(c_290739,plain,
( ~ r(X0)
| r(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_289692,c_52,c_254,c_195,c_290678]) ).
cnf(c_290777,plain,
( ~ ar(X0)
| ~ p(X0)
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_290277,c_290687]) ).
cnf(c_290809,plain,
( ~ ar(X0)
| qq(s(X0))
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290689,c_52,c_51,c_313,c_254,c_198,c_213,c_225,c_244,c_220,c_590,c_289856,c_290420,c_290689,c_290777]) ).
cnf(c_290822,plain,
( ~ ar(X0)
| ~ qq(X0)
| r(s(X0))
| q(X0) ),
inference(superposition,[status(thm)],[c_290809,c_289391]) ).
cnf(c_290824,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ rr(X0)
| r(s(X0))
| qq(X0) ),
inference(superposition,[status(thm)],[c_290809,c_1012]) ).
cnf(c_290826,plain,
( ~ ar(X0)
| r(s(X0))
| aq(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_290809,c_197]) ).
cnf(c_290827,plain,
( pp(s(X0))
| ~ r(s(X0))
| ~ rr(s(X0))
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290070,c_140,c_51,c_50,c_253,c_196,c_260,c_262,c_7226,c_7270,c_7285,c_7284,c_7314,c_7310,c_7418,c_7430,c_7456,c_7449,c_7672,c_7743,c_7772,c_8444,c_8443,c_8456,c_8467,c_8765,c_8757,c_9341,c_9368,c_9499,c_9872,c_9866,c_9864,c_9885,c_9921,c_10047,c_10848,c_10852,c_11103,c_11131,c_11705,c_11900,c_12718,c_12742,c_14097,c_14173,c_14230,c_14253,c_15017,c_16023,c_19101,c_20113,c_20614,c_20631,c_20666,c_21462,c_22558,c_22749,c_25648,c_28214,c_29972,c_37886,c_44109,c_45189,c_47909,c_50551,c_50838,c_53001,c_56705,c_56863,c_60417,c_61459,c_63511,c_67265,c_69246,c_71178,c_74899,c_78049,c_80248,c_109140,c_112699,c_115314,c_115305,c_126631,c_130564,c_130811,c_130840,c_133473,c_145899,c_215646,c_217036,c_289074,c_289550,c_290478,c_290586]) ).
cnf(c_290828,plain,
( ~ r(s(X0))
| ~ rr(s(X0))
| ~ ap(X0)
| pp(s(X0)) ),
inference(renaming,[status(thm)],[c_290827]) ).
cnf(c_290843,plain,
( ~ r(s(X0))
| ~ ap(X0)
| ~ rr(X0)
| pp(s(X0))
| ar(X0) ),
inference(superposition,[status(thm)],[c_256,c_290828]) ).
cnf(c_290886,plain,
( r(s(X0))
| ~ ar(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290826,c_52,c_290826]) ).
cnf(c_290887,plain,
( ~ ar(X0)
| r(s(X0))
| qq(X0) ),
inference(renaming,[status(thm)],[c_290886]) ).
cnf(c_290895,plain,
( ~ ar(X0)
| ~ q(X0)
| ~ rr(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_290887,c_854]) ).
cnf(c_290896,plain,
( ~ ar(X0)
| ~ q(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_290887,c_788]) ).
cnf(c_290897,plain,
( ~ ar(X0)
| ~ p(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_290887,c_288842]) ).
cnf(c_290899,plain,
( ~ p(X0)
| ~ ar(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290897,c_51,c_290537,c_290897]) ).
cnf(c_290900,plain,
( ~ ar(X0)
| ~ p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_290899]) ).
cnf(c_290902,plain,
( ~ p(X0)
| ap(X0)
| aq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_53,c_290900]) ).
cnf(c_290903,plain,
( ~ p(s(X0))
| ~ aq(X0)
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_290900]) ).
cnf(c_290904,plain,
( ~ p(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290902,c_53,c_269233,c_274188,c_290565,c_290607,c_290731,c_290903]) ).
cnf(c_290909,plain,
( ~ ap(X0)
| r(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_289176,c_290904]) ).
cnf(c_290914,plain,
( ~ p(X0)
| r(s(X0))
| ap(X0) ),
inference(superposition,[status(thm)],[c_312,c_290904]) ).
cnf(c_290918,plain,
( r(s(X0))
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290914,c_254,c_290777,c_290904]) ).
cnf(c_290919,plain,
( ~ p(X0)
| r(s(X0)) ),
inference(renaming,[status(thm)],[c_290918]) ).
cnf(c_290925,plain,
( ~ ar(X0)
| ~ p(X0)
| ~ pp(X0) ),
inference(superposition,[status(thm)],[c_290919,c_289243]) ).
cnf(c_290940,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| ~ aq(X0) ),
inference(superposition,[status(thm)],[c_141,c_290925]) ).
cnf(c_290941,plain,
( ~ p(s(X0))
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290903,c_311,c_290600,c_290919]) ).
cnf(c_291033,plain,
( ~ ar(X0)
| r(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290822,c_254,c_579,c_290777,c_290904]) ).
cnf(c_291050,plain,
( ~ pp(s(X0))
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290940,c_53,c_313,c_311,c_289243,c_290600,c_290940,c_290941]) ).
cnf(c_291051,plain,
( ~ p(s(X0))
| ~ pp(s(X0)) ),
inference(renaming,[status(thm)],[c_291050]) ).
cnf(c_291063,plain,
( ~ p(s(X0))
| ~ pp(X0)
| ap(X0) ),
inference(superposition,[status(thm)],[c_314,c_291051]) ).
cnf(c_291066,plain,
( ~ pp(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_291063,c_290600,c_291063]) ).
cnf(c_291067,plain,
( ~ p(s(X0))
| ~ pp(X0) ),
inference(renaming,[status(thm)],[c_291066]) ).
cnf(c_291073,plain,
( ~ p(X0)
| ~ pp(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_828,c_291067]) ).
cnf(c_291105,plain,
( ~ q(s(X0))
| ~ aq(X0)
| pp(s(X0))
| qq(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_290896]) ).
cnf(c_291106,plain,
( qq(X0)
| pp(X0)
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290909,c_53,c_313,c_144,c_146,c_738,c_268300,c_289176,c_290887,c_290919,c_290941,c_291105]) ).
cnf(c_291107,plain,
( r(s(X0))
| pp(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_291106]) ).
cnf(c_291117,plain,
( ~ q(X0)
| pp(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_291107,c_788]) ).
cnf(c_291141,plain,
( pp(s(X0))
| qq(s(X0))
| r(s(X0))
| ar(X0)
| p(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_290648,c_291117]) ).
cnf(c_291152,plain,
( ~ q(X0)
| pp(s(X0))
| qq(s(X0))
| r(s(X0))
| p(X0) ),
inference(superposition,[status(thm)],[c_288822,c_291117]) ).
cnf(c_291155,plain,
( ~ q(X0)
| pp(s(X0))
| qq(s(X0))
| r(s(X0))
| aq(X0) ),
inference(superposition,[status(thm)],[c_196,c_291117]) ).
cnf(c_291220,plain,
( ~ q(s(X0))
| ~ rr(s(X0))
| ~ aq(X0)
| qq(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_290895]) ).
cnf(c_291223,plain,
( r(s(X0))
| ~ ar(X0)
| ~ pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290431,c_254,c_236,c_973,c_289671,c_289781,c_290777,c_290887,c_290904,c_290941,c_291033]) ).
cnf(c_291224,plain,
( ~ ar(X0)
| ~ pp(X0)
| r(s(X0)) ),
inference(renaming,[status(thm)],[c_291223]) ).
cnf(c_291231,plain,
( ~ ar(X0)
| ~ pp(X0)
| ~ qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_291224,c_289001]) ).
cnf(c_291239,plain,
( ~ pp(s(X0))
| ~ qq(s(X0))
| ~ aq(X0)
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_141,c_291231]) ).
cnf(c_291270,plain,
( qq(s(X0))
| r(s(X0))
| aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_291155,c_53,c_254,c_198,c_270,c_588,c_63511,c_63522,c_176430,c_289176,c_290383,c_290777,c_290809,c_290904,c_290941,c_291141]) ).
cnf(c_291282,plain,
( q(s(X0))
| r(s(X0))
| aq(X0) ),
inference(superposition,[status(thm)],[c_291270,c_289550]) ).
cnf(c_291285,plain,
( ~ qq(X0)
| r(s(X0))
| aq(X0)
| q(X0) ),
inference(superposition,[status(thm)],[c_291270,c_289391]) ).
cnf(c_291289,plain,
( r(s(X0))
| aq(X0)
| qq(X0) ),
inference(superposition,[status(thm)],[c_291270,c_197]) ).
cnf(c_291300,plain,
( ~ q(X0)
| ~ rr(X0)
| aq(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_291289,c_854]) ).
cnf(c_291303,plain,
( aq(X0)
| ar(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_291289,c_253]) ).
cnf(c_291307,plain,
( r(s(X0))
| q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_291282,c_254,c_290636,c_290777,c_290904]) ).
cnf(c_291308,plain,
( q(s(X0))
| r(s(X0)) ),
inference(renaming,[status(thm)],[c_291307]) ).
cnf(c_291320,plain,
( q(s(X0))
| ar(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_291308,c_253]) ).
cnf(c_291356,plain,
( ~ ar(X0)
| aq(s(X0))
| qq(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_291303,c_288676]) ).
cnf(c_291365,plain,
( r(s(X0))
| aq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_291285,c_195,c_291308]) ).
cnf(c_291414,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_291239,c_52,c_254,c_600,c_130584,c_290209]) ).
cnf(c_291444,plain,
( r(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290353,c_53,c_311,c_269233,c_274188,c_290565,c_290600,c_290607,c_290731,c_290903]) ).
cnf(c_291445,plain,
( ~ p(s(X0))
| r(X0) ),
inference(renaming,[status(thm)],[c_291444]) ).
cnf(c_291471,plain,
( ~ rr(X0)
| r(s(X0))
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_290824,c_197,c_178,c_176,c_657,c_982,c_144269,c_291107,c_291220,c_291289,c_291308]) ).
cnf(c_291484,plain,
( ~ rr(X0)
| ar(X0)
| qq(X0)
| r(X0) ),
inference(superposition,[status(thm)],[c_291471,c_253]) ).
cnf(c_291497,plain,
( ~ rr(X0)
| ar(s(X0))
| qq(s(X0))
| r(s(X0))
| ar(X0) ),
inference(superposition,[status(thm)],[c_256,c_291484]) ).
cnf(c_291506,plain,
( r(s(X0))
| qq(s(X0))
| ar(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_291497,c_141,c_291270]) ).
cnf(c_291507,plain,
( ar(s(X0))
| qq(s(X0))
| r(s(X0)) ),
inference(renaming,[status(thm)],[c_291506]) ).
cnf(c_291511,plain,
( ~ q(s(X0))
| pp(s(X0))
| qq(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_291507,c_290896]) ).
cnf(c_291524,plain,
( pp(s(X0))
| ~ rr(X0)
| ~ ap(X0)
| ~ r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_290843,c_51,c_290843]) ).
cnf(c_291525,plain,
( ~ r(s(X0))
| ~ ap(X0)
| ~ rr(X0)
| pp(s(X0)) ),
inference(renaming,[status(thm)],[c_291524]) ).
cnf(c_291545,plain,
( ~ ap(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(s(X0))
| p(X0) ),
inference(superposition,[status(thm)],[c_856,c_291525]) ).
cnf(c_291551,plain,
( ~ ap(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(s(X0))
| ar(X0) ),
inference(superposition,[status(thm)],[c_254,c_291525]) ).
cnf(c_291565,plain,
( pp(s(X0))
| ~ rr(X0)
| ~ r(X0)
| ~ ap(X0) ),
inference(global_subsumption_just,[status(thm)],[c_291545,c_51,c_291551]) ).
cnf(c_291566,plain,
( ~ ap(X0)
| ~ r(X0)
| ~ rr(X0)
| pp(s(X0)) ),
inference(renaming,[status(thm)],[c_291565]) ).
cnf(c_291575,plain,
( ~ ap(X0)
| ~ qq(X0)
| ~ r(X0)
| ~ rr(X0) ),
inference(superposition,[status(thm)],[c_291566,c_289442]) ).
cnf(c_291577,plain,
( ~ ap(X0)
| ~ q(X0)
| ~ r(X0)
| ~ rr(X0) ),
inference(superposition,[status(thm)],[c_291566,c_663]) ).
cnf(c_291633,plain,
( ~ q(s(X0))
| ~ r(s(X0))
| ~ rr(s(X0))
| ~ ar(X0) ),
inference(superposition,[status(thm)],[c_142,c_291577]) ).
cnf(c_291693,plain,
( r(s(X0))
| qq(s(X0))
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_291152,c_291308,c_291511]) ).
cnf(c_291694,plain,
( pp(s(X0))
| qq(s(X0))
| r(s(X0)) ),
inference(renaming,[status(thm)],[c_291693]) ).
cnf(c_291704,plain,
( ~ aq(X0)
| pp(s(X0))
| r(s(X0)) ),
inference(superposition,[status(thm)],[c_291694,c_291414]) ).
cnf(c_291859,plain,
( r(X0)
| ~ p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_277079,c_53,c_269233,c_274188,c_290565,c_290607,c_290731,c_290903]) ).
cnf(c_291860,plain,
( ~ p(X0)
| r(X0) ),
inference(renaming,[status(thm)],[c_291859]) ).
cnf(c_291876,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_643,c_291860]) ).
cnf(c_291910,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_673,c_291860]) ).
cnf(c_291971,plain,
( ~ p(s(X0))
| ar(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_291860,c_253]) ).
cnf(c_292149,plain,
( ~ p(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_291971,c_291445]) ).
cnf(c_292163,plain,
( ~ ap(X0)
| q(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_576,c_292149]) ).
cnf(c_292180,plain,
( ~ p(s(X0))
| ~ pp(X0)
| ~ rr(X0)
| ar(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_258785,c_292149]) ).
cnf(c_292185,plain,
( ~ p(s(X0))
| ~ ap(X0)
| ~ q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_665,c_292149]) ).
cnf(c_292186,plain,
( ~ p(s(X0))
| p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_63905,c_292149]) ).
cnf(c_292246,plain,
( ~ ap(X0)
| pp(s(X0))
| pp(X0)
| qq(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_815,c_292163]) ).
cnf(c_292319,plain,
( ~ qq(s(X0))
| ~ aq(X0)
| ~ pp(X0)
| ~ qq(X0)
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_888,c_291910]) ).
cnf(c_292348,plain,
( ~ ap(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_292185,c_51,c_50,c_253,c_196,c_260,c_262,c_289074,c_289550,c_290478,c_290586]) ).
cnf(c_292349,plain,
( ~ p(s(X0))
| ~ ap(X0) ),
inference(renaming,[status(thm)],[c_292348]) ).
cnf(c_292364,plain,
( ~ ap(X0)
| ~ p(X0)
| ~ pp(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_292349,c_828]) ).
cnf(c_292371,plain,
( rr(s(X0))
| qq(s(X0))
| pp(s(X0))
| p(s(X0))
| ~ ar(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_209736,c_314,c_312,c_256,c_253,c_693,c_797,c_22749,c_22751,c_173864,c_185884,c_291694]) ).
cnf(c_292372,plain,
( ~ ar(s(X0))
| p(s(X0))
| pp(s(X0))
| qq(s(X0))
| rr(s(X0)) ),
inference(renaming,[status(thm)],[c_292371]) ).
cnf(c_292384,plain,
( ~ aq(s(X0))
| r(s(X0))
| rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_249000,c_133262,c_290371]) ).
cnf(c_292430,plain,
( ~ aq(s(X0))
| r(s(X0))
| ar(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_292384,c_255]) ).
cnf(c_292439,plain,
( ~ p(X0)
| ~ pp(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292364,c_291073]) ).
cnf(c_292457,plain,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0))
| q(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_843,c_292439]) ).
cnf(c_292462,plain,
( ~ p(s(X0))
| ~ pp(s(X0))
| aq(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_292439,c_195]) ).
cnf(c_292469,plain,
( r(s(X0))
| ~ aq(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292430,c_22752,c_292430]) ).
cnf(c_292470,plain,
( ~ aq(s(X0))
| r(s(X0))
| rr(X0) ),
inference(renaming,[status(thm)],[c_292469]) ).
cnf(c_292491,plain,
( ~ aq(s(X0))
| ar(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_292470,c_253]) ).
cnf(c_292501,plain,
( ~ aq(s(X0))
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292491,c_22752,c_292491]) ).
cnf(c_292515,plain,
( ~ ap(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_292501,c_140]) ).
cnf(c_292516,plain,
( ap(s(X0))
| aq(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_292501,c_176406]) ).
cnf(c_292537,plain,
( ~ ap(s(X0))
| ~ pp(X0)
| ~ qq(X0)
| r(s(X0))
| rr(X0) ),
inference(resolution,[status(thm)],[c_292515,c_1008]) ).
cnf(c_292544,plain,
( ~ ap(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292246,c_51,c_50,c_291303]) ).
cnf(c_292571,plain,
( ~ ap(s(X0))
| ~ q(X0)
| qq(s(X0))
| pp(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_292544,c_788]) ).
cnf(c_292585,plain,
( ~ p(s(X0))
| ~ pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_292462,c_291051]) ).
cnf(c_292595,plain,
( ~ p(s(X0))
| ~ pp(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_292585,c_314]) ).
cnf(c_292604,plain,
( ~ pp(X0)
| ~ p(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_292595,c_290600,c_291063]) ).
cnf(c_292605,plain,
( ~ p(s(X0))
| ~ pp(X0) ),
inference(renaming,[status(thm)],[c_292604]) ).
cnf(c_292618,plain,
( ~ p(X0)
| ~ pp(X0)
| ap(X0) ),
inference(resolution,[status(thm)],[c_292605,c_312]) ).
cnf(c_292758,plain,
( ~ ar(X0)
| ~ p(X0)
| rr(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_292457,c_205,c_653,c_289044,c_290919]) ).
cnf(c_292772,plain,
( ~ ar(X0)
| ~ q(X0)
| rr(s(X0))
| qq(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_838,c_292758]) ).
cnf(c_292864,plain,
( qq(X0)
| ~ ar(X0)
| ~ q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292772,c_52,c_51,c_196,c_735,c_790,c_290335,c_290887,c_291300,c_291633]) ).
cnf(c_292865,plain,
( ~ ar(X0)
| ~ q(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_292864]) ).
cnf(c_292880,plain,
( ~ r(s(X0))
| ~ ar(X0)
| ~ q(X0)
| pp(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_952,c_292865]) ).
cnf(c_292884,plain,
( ~ ar(s(X0))
| ~ q(s(X0))
| aq(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_292865,c_197]) ).
cnf(c_292885,plain,
( ~ ar(s(X0))
| ~ q(s(X0))
| ~ pp(X0)
| ~ rr(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_292865,c_1012]) ).
cnf(c_292891,plain,
( ~ ar(s(X0))
| ~ q(s(X0))
| ~ aq(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_292865,c_291876]) ).
cnf(c_292894,plain,
( aq(X0)
| ~ ar(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_292884,c_173864]) ).
cnf(c_292895,plain,
( ~ ar(s(X0))
| aq(X0) ),
inference(renaming,[status(thm)],[c_292894]) ).
cnf(c_292908,plain,
( ~ ar(s(X0))
| ~ q(s(X0))
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_292891,c_292895]) ).
cnf(c_292936,plain,
( qq(s(X0))
| ~ q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292571,c_141,c_198,c_288785,c_291303,c_292865,c_292908]) ).
cnf(c_292937,plain,
( ~ q(X0)
| qq(s(X0))
| r(X0) ),
inference(renaming,[status(thm)],[c_292936]) ).
cnf(c_292951,plain,
( ~ q(X0)
| ~ qq(X0)
| qq(s(X0))
| p(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_797,c_292937]) ).
cnf(c_292956,plain,
( ~ q(X0)
| aq(X0)
| qq(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_292937,c_197]) ).
cnf(c_292963,plain,
( ~ aq(X0)
| ~ q(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_292937,c_291876]) ).
cnf(c_292967,plain,
( ~ q(X0)
| qq(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292956,c_292963,c_292956]) ).
cnf(c_292984,plain,
( ~ r(s(X0))
| ~ q(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_970,c_292967]) ).
cnf(c_292986,plain,
( ~ aq(s(X0))
| ~ q(X0)
| ~ rr(X0)
| p(s(X0))
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_133373,c_292967]) ).
cnf(c_292987,plain,
( ~ q(X0)
| ~ rr(X0)
| rr(s(X0))
| p(X0)
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_790,c_292967]) ).
cnf(c_292996,plain,
( ~ q(s(X0))
| qq(s(X0))
| ar(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_292967,c_253]) ).
cnf(c_293051,plain,
( qq(s(X0))
| ar(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292996,c_291320,c_292996]) ).
cnf(c_293075,plain,
( ~ aq(X0)
| ar(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293051,c_291876]) ).
cnf(c_293134,plain,
( ~ rr(X0)
| ~ q(X0)
| p(X0)
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292987,c_140,c_53,c_51,c_50,c_311,c_255,c_196,c_303,c_304,c_590,c_596,c_647,c_707,c_743,c_826,c_891,c_943,c_991,c_7226,c_7232,c_7230,c_7238,c_7248,c_7244,c_7260,c_7272,c_7285,c_7284,c_7314,c_7306,c_7302,c_7297,c_7430,c_7441,c_7453,c_7449,c_7472,c_7614,c_7612,c_7572,c_7570,c_7743,c_7776,c_7793,c_8001,c_8456,c_8799,c_9335,c_9494,c_10051,c_10269,c_11799,c_13549,c_13558,c_15241,c_15481,c_15848,c_17152,c_19298,c_21150,c_23497,c_23510,c_25810,c_30046,c_63511,c_63522,c_115373,c_117887,c_130584,c_290600,c_291577,c_292865,c_292885,c_292967,c_292986]) ).
cnf(c_293135,plain,
( ~ q(X0)
| ~ rr(X0)
| p(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_293134]) ).
cnf(c_293160,plain,
( ~ q(s(X0))
| ~ rr(X0)
| p(s(X0))
| qq(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_293135,c_256]) ).
cnf(c_293226,plain,
( ~ qq(s(X0))
| ~ qq(X0)
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292319,c_195,c_153,c_600,c_659,c_765,c_882,c_289550]) ).
cnf(c_293243,plain,
( ~ ar(s(X0))
| ~ q(s(X0))
| ~ qq(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_293226,c_292865]) ).
cnf(c_293249,plain,
( ~ qq(X0)
| ar(X0)
| q(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293226,c_293051]) ).
cnf(c_293290,plain,
( ~ pp(X0)
| r(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_292537,c_53,c_973,c_63511,c_63522,c_290919,c_291224,c_292516,c_293075]) ).
cnf(c_293315,plain,
( ~ pp(X0)
| ar(X0)
| r(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_293290,c_253]) ).
cnf(c_293319,plain,
( ar(X0)
| r(X0)
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293315,c_53,c_63511,c_63522,c_292516,c_293075]) ).
cnf(c_293342,plain,
( ~ ar(X0)
| ar(s(X0))
| r(s(X0))
| p(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_293319,c_629]) ).
cnf(c_293374,plain,
( r(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293342,c_579,c_290739,c_290919,c_291365,c_293075]) ).
cnf(c_293392,plain,
( ar(X0)
| q(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293374,c_253]) ).
cnf(c_293401,plain,
( ~ rr(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| q(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_860,c_293392]) ).
cnf(c_293410,plain,
( ap(X0)
| ar(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_185932,c_293392]) ).
cnf(c_293422,plain,
( ~ qq(X0)
| q(X0)
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293401,c_289213,c_293249]) ).
cnf(c_293468,plain,
( ~ rr(X0)
| ~ q(s(X0))
| qq(s(X0))
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293160,c_53,c_52,c_51,c_312,c_198,c_195,c_208,c_149,c_206,c_647,c_988,c_22752,c_63511,c_63522,c_78290,c_133262,c_274188,c_289074,c_290113,c_290209,c_290336,c_290503,c_290525,c_291356,c_291633,c_292180,c_292987,c_293051,c_293160]) ).
cnf(c_293469,plain,
( ~ q(s(X0))
| ~ rr(X0)
| qq(s(X0))
| ar(X0) ),
inference(renaming,[status(thm)],[c_293468]) ).
cnf(c_293471,plain,
( qq(s(X0))
| ~ rr(X0)
| ~ q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_293469,c_53,c_52,c_51,c_312,c_198,c_195,c_208,c_149,c_206,c_22752,c_63511,c_63522,c_78290,c_133262,c_274188,c_290503,c_290525,c_291356,c_291633,c_292987,c_293469]) ).
cnf(c_293472,plain,
( ~ q(s(X0))
| ~ rr(X0)
| qq(s(X0)) ),
inference(renaming,[status(thm)],[c_293471]) ).
cnf(c_293493,plain,
( ~ q(s(X0))
| ~ rr(X0)
| aq(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_293472,c_197]) ).
cnf(c_293505,plain,
( ~ rr(X0)
| ~ q(s(X0))
| qq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293493,c_50,c_313,c_311,c_675,c_130584,c_289484,c_289493,c_290114,c_293472,c_293493]) ).
cnf(c_293506,plain,
( ~ q(s(X0))
| ~ rr(X0)
| qq(X0) ),
inference(renaming,[status(thm)],[c_293505]) ).
cnf(c_293523,plain,
( ~ q(X0)
| ~ rr(X0)
| aq(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_293506,c_196]) ).
cnf(c_293525,plain,
( ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| ar(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_293506,c_178215]) ).
cnf(c_293548,plain,
( ~ q(s(X0))
| ~ rr(X0)
| aq(s(X0))
| qq(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_293523,c_256]) ).
cnf(c_293558,plain,
( ~ q(s(X0))
| aq(s(X0))
| qq(s(X0))
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293548,c_140,c_53,c_52,c_312,c_198,c_195,c_208,c_149,c_206,c_749,c_7272,c_63511,c_63522,c_78290,c_133262,c_274188,c_290503,c_290525,c_291356,c_291633,c_292772,c_292951,c_293243,c_293319,c_293472]) ).
cnf(c_293561,plain,
( qq(s(X0))
| aq(s(X0))
| ~ q(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_293558,c_52,c_198,c_195,c_291356,c_291633,c_292772,c_293472,c_293558]) ).
cnf(c_293562,plain,
( ~ q(s(X0))
| aq(s(X0))
| qq(s(X0)) ),
inference(renaming,[status(thm)],[c_293561]) ).
cnf(c_293580,plain,
( ~ q(s(X0))
| aq(s(X0))
| aq(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_293562,c_197]) ).
cnf(c_293648,plain,
( qq(s(X0))
| pp(s(X0))
| p(s(X0))
| ~ ar(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_292372,c_22749,c_22751,c_133262,c_178215,c_293562]) ).
cnf(c_293649,plain,
( ~ ar(s(X0))
| p(s(X0))
| pp(s(X0))
| qq(s(X0)) ),
inference(renaming,[status(thm)],[c_293648]) ).
cnf(c_293695,plain,
( ~ ar(s(X0))
| ~ qq(s(X0))
| ~ r(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| p(s(X0))
| pp(s(X0))
| rr(s(X0))
| qrp2(s(X0)) ),
inference(resolution,[status(thm)],[c_279639,c_115845]) ).
cnf(c_293818,plain,
( pp(s(X0))
| p(s(X0))
| ~ pr(X0)
| ~ rq(X0)
| ~ ar(s(X0))
| qrp2(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_293695,c_312,c_255,c_138,c_22749,c_22751,c_173864,c_209694,c_289484,c_291704,c_293649]) ).
cnf(c_293819,plain,
( ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| p(s(X0))
| pp(s(X0))
| qrp2(s(X0)) ),
inference(renaming,[status(thm)],[c_293818]) ).
cnf(c_293882,plain,
( ~ ar(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| p(s(X0))
| pp(s(X0))
| r(s(X0)) ),
inference(resolution,[status(thm)],[c_293819,c_91]) ).
cnf(c_293884,plain,
( ~ ar(s(X0))
| ~ rr(s(X0))
| ~ rq(X0)
| ~ pr(X0)
| p(s(X0))
| pp(s(X0)) ),
inference(resolution,[status(thm)],[c_293819,c_92]) ).
cnf(c_293910,plain,
( ~ ar(s(X0))
| r(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_293882,c_254,c_22751,c_173864,c_293075]) ).
cnf(c_293927,plain,
( ~ ar(s(X0))
| ar(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293910,c_253]) ).
cnf(c_293934,plain,
( ~ ar(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293927,c_22751,c_173864,c_293075]) ).
cnf(c_293951,plain,
( ap(s(X0))
| aq(s(X0))
| r(X0) ),
inference(resolution,[status(thm)],[c_293934,c_53]) ).
cnf(c_293953,plain,
( ~ aq(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293934,c_141]) ).
cnf(c_293964,plain,
( ~ aq(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0)
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_269573,c_293953]) ).
cnf(c_293965,plain,
( ~ aq(X0)
| qq(s(X0))
| p(X0)
| qq(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_871,c_293953]) ).
cnf(c_293973,plain,
( ~ aq(X0)
| p(X0)
| pp(X0)
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_209817,c_293953]) ).
cnf(c_293974,plain,
( ~ aq(s(X0))
| ar(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293953,c_253]) ).
cnf(c_293979,plain,
( ap(s(X0))
| r(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293951,c_142,c_293951,c_293974]) ).
cnf(c_294000,plain,
( ~ ap(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293979,c_63511]) ).
cnf(c_294002,plain,
( ar(X0)
| r(X0) ),
inference(resolution,[status(thm)],[c_293979,c_79789]) ).
cnf(c_294057,plain,
( ~ ar(s(X0))
| ~ rr(s(X0))
| p(s(X0))
| pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_293884,c_312,c_255,c_22749,c_22751,c_133262,c_173864,c_178215,c_289484,c_293562]) ).
cnf(c_294101,plain,
( ~ ar(s(X0))
| ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| ar(X0) ),
inference(resolution,[status(thm)],[c_294057,c_256]) ).
cnf(c_294112,plain,
( ~ rr(X0)
| p(s(X0))
| pp(s(X0))
| ar(X0) ),
inference(global_subsumption_just,[status(thm)],[c_294101,c_53,c_7272,c_63511,c_63522,c_133262,c_291575,c_293525,c_293951,c_293974,c_294101]) ).
cnf(c_294132,plain,
( ~ rr(X0)
| p(s(X0))
| ap(X0)
| ar(X0)
| pp(X0) ),
inference(resolution,[status(thm)],[c_294112,c_313]) ).
cnf(c_294133,plain,
( ~ qq(X0)
| ~ rr(X0)
| p(s(X0))
| ar(X0)
| pp(X0) ),
inference(resolution,[status(thm)],[c_294112,c_1004]) ).
cnf(c_294375,plain,
r(s(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_293910,c_294002]) ).
cnf(c_294385,plain,
( ~ ar(X0)
| ~ q(X0)
| pp(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_292880,c_294375]) ).
cnf(c_294386,plain,
( ~ q(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_292984,c_294375]) ).
cnf(c_294392,plain,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_663,c_294000]) ).
cnf(c_294393,plain,
( ~ pp(s(a))
| ~ ap(a)
| ~ q(a) ),
inference(instantiation,[status(thm)],[c_294392]) ).
cnf(c_294400,plain,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_65387,c_294392]) ).
cnf(c_294413,plain,
( ~ qq(X0)
| ~ ap(X0)
| ~ pp(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_294400,c_289442]) ).
cnf(c_294414,plain,
( ~ pp(s(X0))
| ~ ap(X0)
| ~ qq(X0) ),
inference(renaming,[status(thm)],[c_294413]) ).
cnf(c_294443,plain,
( ~ qq(X0)
| r(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_293422,c_294386]) ).
cnf(c_294457,plain,
( ~ rr(s(X0))
| ~ ar(X0)
| ~ qq(X0)
| ~ rr(X0)
| p(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_911,c_294443]) ).
cnf(c_294458,plain,
( ~ rr(s(X0))
| ~ ar(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_294457,c_52,c_196,c_594,c_291633,c_294375]) ).
cnf(c_294561,plain,
( pp(X0)
| p(s(X0))
| ~ rr(X0)
| ~ aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_293964,c_52,c_293964,c_294133]) ).
cnf(c_294562,plain,
( ~ aq(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0) ),
inference(renaming,[status(thm)],[c_294561]) ).
cnf(c_294667,plain,
( ~ aq(s(X0))
| p(s(X0))
| pp(s(X0))
| aq(X0)
| q(X0) ),
inference(resolution,[status(thm)],[c_293973,c_195]) ).
cnf(c_294679,plain,
( pp(s(X0))
| ~ aq(s(X0))
| q(X0) ),
inference(global_subsumption_just,[status(thm)],[c_294667,c_7224,c_133262,c_209536,c_293979]) ).
cnf(c_294680,plain,
( ~ aq(s(X0))
| pp(s(X0))
| q(X0) ),
inference(renaming,[status(thm)],[c_294679]) ).
cnf(c_294694,plain,
( ~ aq(s(X0))
| ~ p(s(X0))
| ap(s(X0))
| q(X0) ),
inference(resolution,[status(thm)],[c_294680,c_292618]) ).
cnf(c_294800,plain,
( ap(s(X0))
| aq(s(X0))
| ar(s(X0))
| p(s(X0))
| pp(s(X0))
| aq(X0)
| qq(X0) ),
inference(resolution,[status(thm)],[c_293410,c_293580]) ).
cnf(c_295017,plain,
( ~ ar(s(X0))
| ~ q(s(X0))
| pp(s(X0))
| ar(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_294385,c_255]) ).
cnf(c_295040,plain,
( ~ aq(X0)
| p(s(X0))
| pp(X0) ),
inference(global_subsumption_just,[status(thm)],[c_294562,c_141,c_52,c_50,c_313,c_115373,c_294132,c_295017]) ).
cnf(c_295055,plain,
( ~ aq(X0)
| p(X0)
| pp(X0) ),
inference(resolution,[status(thm)],[c_295040,c_292186]) ).
cnf(c_295104,plain,
( ap(s(X0))
| ar(s(X0))
| p(s(X0))
| pp(s(X0))
| aq(X0)
| qq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_294800,c_295055]) ).
cnf(c_295107,plain,
( ap(s(a))
| ar(s(a))
| p(s(a))
| pp(s(a))
| aq(a)
| qq(a) ),
inference(instantiation,[status(thm)],[c_295104]) ).
cnf(c_295112,plain,
( ~ aq(s(X0))
| ~ qq(X0)
| ~ rr(X0)
| p(s(X0))
| pp(X0) ),
inference(resolution,[status(thm)],[c_295055,c_1004]) ).
cnf(c_295115,plain,
( ~ aq(s(X0))
| ~ ap(X0)
| ~ qq(X0)
| p(s(X0)) ),
inference(resolution,[status(thm)],[c_295055,c_294414]) ).
cnf(c_295116,plain,
( ~ aq(s(a))
| ~ ap(a)
| ~ qq(a)
| p(s(a)) ),
inference(instantiation,[status(thm)],[c_295115]) ).
cnf(c_295121,plain,
( ~ qq(X0)
| ~ aq(s(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_295112,c_253,c_196,c_260,c_262,c_22752,c_63523,c_133262,c_289074,c_289550,c_290478,c_290586,c_295115]) ).
cnf(c_295122,plain,
( ~ aq(s(X0))
| ~ qq(X0) ),
inference(renaming,[status(thm)],[c_295121]) ).
cnf(c_295135,plain,
( ~ ap(X0)
| ~ qq(X0) ),
inference(resolution,[status(thm)],[c_295122,c_140]) ).
cnf(c_295136,plain,
( ~ qq(X0)
| ap(s(X0))
| aq(X0) ),
inference(resolution,[status(thm)],[c_295122,c_176406]) ).
cnf(c_295148,plain,
( ~ ap(s(X0))
| ~ qq(X0)
| aq(X0) ),
inference(resolution,[status(thm)],[c_295135,c_198]) ).
cnf(c_295157,plain,
( ~ qq(X0)
| aq(X0) ),
inference(global_subsumption_just,[status(thm)],[c_295148,c_295136,c_295148]) ).
cnf(c_295167,plain,
( ~ qq(s(X0))
| aq(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_197,c_295157]) ).
cnf(c_295172,plain,
( ~ q(s(X0))
| aq(s(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_293562,c_295157]) ).
cnf(c_295195,plain,
~ qq(s(X0)),
inference(global_subsumption_just,[status(thm)],[c_295167,c_63523,c_289550,c_295172,c_295167]) ).
cnf(c_295202,plain,
( ~ aq(X0)
| p(X0)
| qq(X0)
| rr(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_293965,c_295195]) ).
cnf(c_295494,plain,
( ~ aq(s(X0))
| p(s(X0))
| qq(s(X0))
| ar(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_295202,c_255]) ).
cnf(c_295501,plain,
( ~ aq(s(X0))
| rr(X0) ),
inference(global_subsumption_just,[status(thm)],[c_295494,c_253,c_196,c_260,c_262,c_22752,c_63523,c_133262,c_289074,c_289550,c_290478,c_290586,c_295195,c_295494]) ).
cnf(c_295514,plain,
( ~ ap(X0)
| rr(X0) ),
inference(resolution,[status(thm)],[c_295501,c_140]) ).
cnf(c_295530,plain,
( ~ ap(s(X0))
| ~ ar(X0)
| p(X0) ),
inference(resolution,[status(thm)],[c_295514,c_294458]) ).
cnf(c_295745,plain,
( ~ ar(X0)
| p(X0) ),
inference(global_subsumption_just,[status(thm)],[c_295530,c_142,c_295530]) ).
cnf(c_295760,plain,
( ~ ar(s(X0))
| p(X0) ),
inference(resolution,[status(thm)],[c_295745,c_292186]) ).
cnf(c_295790,plain,
( ~ aq(X0)
| p(X0) ),
inference(resolution,[status(thm)],[c_295760,c_141]) ).
cnf(c_295801,plain,
( ~ aq(s(X0))
| ap(s(X0))
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_294694,c_295790]) ).
cnf(c_295802,plain,
( ~ aq(s(a))
| ap(s(a))
| q(a) ),
inference(instantiation,[status(thm)],[c_295801]) ).
cnf(c_295803,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_295802,c_295116,c_295107,c_294393,c_290601,c_22750,c_7225,c_403,c_357,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM005-1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 13:34:59 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.59/4.21 % SZS status Started for theBenchmark.p
% 24.59/4.21 % SZS status Unsatisfiable for theBenchmark.p
% 24.59/4.21
% 24.59/4.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.59/4.21
% 24.59/4.21 ------ iProver source info
% 24.59/4.21
% 24.59/4.21 git: date: 2023-05-31 18:12:56 +0000
% 24.59/4.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.59/4.21 git: non_committed_changes: false
% 24.59/4.21 git: last_make_outside_of_git: false
% 24.59/4.21
% 24.59/4.21 ------ Parsing...successful
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 24.59/4.21
% 24.59/4.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.59/4.21 ------ Proving...
% 24.59/4.21 ------ Problem Properties
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21 clauses 229
% 24.59/4.21 conjectures 229
% 24.59/4.21 EPR 91
% 24.59/4.21 Horn 122
% 24.59/4.21 unary 1
% 24.59/4.21 binary 90
% 24.59/4.21 lits 862
% 24.59/4.21 lits eq 0
% 24.59/4.21 fd_pure 0
% 24.59/4.21 fd_pseudo 0
% 24.59/4.21 fd_cond 0
% 24.59/4.21 fd_pseudo_cond 0
% 24.59/4.21 AC symbols 0
% 24.59/4.21
% 24.59/4.21 ------ Input Options Time Limit: Unbounded
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21 ------
% 24.59/4.21 Current options:
% 24.59/4.21 ------
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21 ------ Proving...
% 24.59/4.21
% 24.59/4.21
% 24.59/4.21 % SZS status Unsatisfiable for theBenchmark.p
% 24.59/4.21
% 24.59/4.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.59/4.22
% 24.59/4.22
%------------------------------------------------------------------------------