%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO844+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:48:44 PM UTC 2026
% Result : CounterSatisfiable 1.49s 0.62s
% Output : Saturation 1.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_135ERROR: Could not build tree for root c_0_202ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_85,plain,
asm(a4,asing(a0)) = asm(a4,apow(asing(a2))),
inference(split_conjunct,[status(thm)],[ax59]),
[final] ).
cnf(c_0_88,plain,
( ~ ain(X1,X2)
| ain(X1,asm(X2,X3))
| ain(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]),
[final] ).
cnf(c_0_89,plain,
asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a2)) = aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),
inference(split_conjunct,[status(thm)],[ax54]),
[final] ).
cnf(c_0_90,plain,
( ~ ain(X1,asm(X2,X3))
| ain(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]),
[final] ).
cnf(c_0_91,plain,
asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))) = apow(a2),
inference(split_conjunct,[status(thm)],[ax55]),
[final] ).
cnf(c_0_93,plain,
asm(asm(a4,asing(a0)),asing(a3)) = asm(apow(a2),apow(asing(a1))),
inference(rw,[status(thm)],[c_0_84,c_0_85]),
[final] ).
cnf(c_0_94,plain,
( ~ aal4(X1)
| ~ ain(X4,X3)
| ~ asubq(X1,aun(X2,X3))
| aal3(X3)
| aal3(X2)
| ain(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]),
[final] ).
cnf(c_0_95,plain,
( ~ ain(a0,X1)
| asubq(a1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]),
[final] ).
cnf(c_0_96,plain,
( ~ ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ain(X1,asing(a2))
| ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]),
[final] ).
cnf(c_0_97,plain,
( ~ ain(X1,apow(a2))
| ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]),
[final] ).
cnf(c_0_98,plain,
( ~ ain(X1,aun(X2,X3))
| ain(X1,X3)
| ain(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]),
[final] ).
cnf(c_0_100,plain,
( ~ ain(X1,asm(X3,X2))
| ~ ain(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]),
[final] ).
cnf(c_0_101,plain,
( ~ ain(X1,asm(a4,asing(a0)))
| ain(X1,asing(a3))
| ain(X1,asm(apow(a2),apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_88,c_0_93]),
[final] ).
cnf(c_0_106,plain,
( ~ ain(X3,X1)
| ~ ain(a0,aun(X2,X1))
| ~ aal4(a1)
| ain(X3,a1)
| aal3(X2)
| aal3(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]),
[final] ).
cnf(c_0_107,plain,
( ~ ain(X1,apow(a2))
| ain(X1,asing(a2))
| ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]),
[final] ).
cnf(c_0_108,plain,
ain(a0,apow(a2)),
inference(split_conjunct,[status(thm)],[ax14]),
[final] ).
cnf(c_0_109,plain,
( ~ ain(X1,apow(a2))
| ain(X1,apow(asing(asing(a1))))
| ain(X1,asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_97]),
[final] ).
cnf(c_0_110,plain,
asm(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))),asing(a0)) = aun(asing(asing(a1)),asing(asing(asing(a1)))),
inference(split_conjunct,[status(thm)],[ax53]),
[final] ).
cnf(c_0_111,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
inference(split_conjunct,[status(thm)],[ax40]),
[final] ).
cnf(c_0_113,plain,
( ~ ain(X1,asm(apow(a2),apow(asing(a1))))
| ain(X1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_90,c_0_93]),
[final] ).
cnf(c_0_117,plain,
( ~ ain(X1,apow(asing(a1)))
| ~ ain(X1,asm(a4,asing(a0)))
| ain(X1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]),
[final] ).
cnf(c_0_118,plain,
( ~ ain(X1,a4)
| ain(X1,apow(asing(a2)))
| ain(X1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_88,c_0_85]),
[final] ).
cnf(c_0_119,plain,
( ~ asubq(X1,X2)
| ain(X1,apow(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_102]),
[final] ).
cnf(c_0_120,plain,
( ~ asubq(X3,X2)
| ~ asubq(X1,X2)
| asubq(aun(X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]),
[final] ).
cnf(c_0_121,plain,
( ~ ain(a0,X1)
| ~ ain(asing(a1),X1)
| ~ asubq(X1,apow(asing(a1)))
| X1 = apow(asing(a1)) ),
inference(split_conjunct,[status(thm)],[c_0_104]),
[final] ).
cnf(c_0_124,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ aal4(a1)
| ain(X1,a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]),
[final] ).
cnf(c_0_125,plain,
( ~ ain(X1,apow(a2))
| ~ ain(X1,apow(asing(a2)))
| ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_109]),
[final] ).
cnf(c_0_126,plain,
asm(apow(a2),asing(asing(a1))) = a3,
inference(split_conjunct,[status(thm)],[ax52]),
[final] ).
cnf(c_0_127,plain,
( ~ ain(X1,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))))
| ain(X1,asing(a0))
| ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_88,c_0_110]),
[final] ).
cnf(c_0_128,plain,
ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
inference(split_conjunct,[status(thm)],[ax26]),
[final] ).
cnf(c_0_129,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
inference(split_conjunct,[status(thm)],[ax41]),
[final] ).
cnf(c_0_130,plain,
( ain(a1,asm(apow(a2),apow(asing(a1))))
| ain(a1,aun(asing(asing(a2)),asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_111]),
[final] ).
cnf(c_0_132,plain,
( ~ ain(X1,apow(asing(a2)))
| ~ ain(X1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_100,c_0_85]),
[final] ).
cnf(c_0_133,plain,
( ~ ain(X1,apow(a2))
| ain(X1,apow(asing(a1)))
| ain(X1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_113,c_0_88]),
[final] ).
cnf(c_0_138,plain,
( ~ ain(X1,apow(asing(a2)))
| ain(X1,aun(a3,asing(apow(a2))))
| ain(X1,asing(asing(a2))) ),
inference(split_conjunct,[status(thm)],[c_0_116]),
[final] ).
cnf(c_0_139,plain,
( ~ ain(X1,a4)
| ~ ain(X1,apow(asing(a1)))
| ain(X1,asing(a3))
| ain(X1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]),
[final] ).
cnf(c_0_140,plain,
( ~ asubq(X1,X3)
| ~ asubq(X2,X3)
| ain(aun(X1,X2),apow(X3)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]),
[final] ).
cnf(c_0_141,plain,
( ~ ain(a0,aun(X1,X2))
| ~ ain(asing(a1),aun(X1,X2))
| ~ asubq(X1,apow(asing(a1)))
| ~ asubq(X2,apow(asing(a1)))
| aun(X1,X2) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_121,c_0_120]),
[final] ).
cnf(c_0_142,plain,
~ ain(asing(a1),asing(a2)),
inference(split_conjunct,[status(thm)],[c_0_122]),
[final] ).
cnf(c_0_143,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ aal4(a1)
| ain(X1,a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_97]),c_0_108])]),
[final] ).
cnf(c_0_144,plain,
( ~ ain(X1,asm(a4,asing(a0)))
| ain(X1,apow(a2))
| ain(X1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_90,c_0_101]),
[final] ).
cnf(c_0_146,plain,
( ~ ain(X1,apow(a2))
| ain(X1,asing(a2))
| ain(X1,apow(asing(asing(a1))))
| ain(X1,aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_107]),
[final] ).
cnf(c_0_148,plain,
( ~ ain(X1,apow(a2))
| ~ ain(X1,apow(asing(a2)))
| ~ aal4(a1)
| ain(X1,a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]),
[final] ).
cnf(c_0_149,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ain(X1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_100,c_0_118]),
[final] ).
cnf(c_0_150,plain,
ain(asing(a2),aun(asing(a2),apow(asing(a2)))),
inference(split_conjunct,[status(thm)],[ax30]),
[final] ).
cnf(c_0_151,plain,
( ~ ain(X1,apow(a2))
| ~ ain(X1,asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_91]),
[final] ).
cnf(c_0_152,plain,
( ~ ain(X1,a3)
| ain(X1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_90,c_0_126]),
[final] ).
cnf(c_0_153,plain,
( ain(asing(asing(a1)),asing(a0))
| ain(asing(asing(a1)),aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]),
[final] ).
cnf(c_0_154,plain,
ain(a3,aun(apow(asing(a2)),asing(a3))),
inference(split_conjunct,[status(thm)],[ax35]),
[final] ).
cnf(c_0_155,plain,
( ain(a1,asm(apow(a2),apow(asing(a2))))
| ain(a1,aun(apow(asing(a2)),asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_129]),
[final] ).
cnf(c_0_156,plain,
( ain(a1,asm(a4,asing(a0)))
| ain(a1,aun(asing(asing(a2)),asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_113,c_0_130]),
[final] ).
cnf(c_0_157,plain,
~ ain(a1,apow(asing(a1))),
inference(split_conjunct,[status(thm)],[c_0_131]),
[final] ).
cnf(c_0_158,plain,
( ~ ain(X1,apow(a2))
| ~ ain(X1,apow(asing(a2)))
| ain(X1,apow(asing(a1))) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]),
[final] ).
cnf(c_0_160,plain,
( ~ ain(X1,asing(a3))
| ~ ain(X1,asm(apow(a2),apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_93]),
[final] ).
cnf(c_0_161,plain,
~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))),
inference(split_conjunct,[status(thm)],[c_0_135]),
[final] ).
cnf(c_0_164,plain,
( ~ ain(X1,asm(apow(a2),asing(a2)))
| ain(X1,a2)
| X1 = asing(a1) ),
inference(split_conjunct,[status(thm)],[c_0_136]),
[final] ).
cnf(c_0_167,plain,
asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))),
inference(split_conjunct,[status(thm)],[ax51]),
[final] ).
cnf(c_0_168,plain,
( ~ ain(X1,apow(asing(a2)))
| ain(X1,a3)
| ain(X1,asing(apow(a2)))
| ain(X1,asing(asing(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_138]),
[final] ).
cnf(c_0_169,plain,
( ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]),
[final] ).
cnf(c_0_170,plain,
( ~ ain(X3,X1)
| ~ asubq(X4,aun(X2,X1))
| ~ asubq(X5,aun(X2,X1))
| ~ aal4(aun(X4,X5))
| ain(X3,aun(X4,X5))
| aal3(X2)
| aal3(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_120]),
[final] ).
cnf(c_0_171,plain,
asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
inference(split_conjunct,[status(thm)],[ax45]),
[final] ).
cnf(c_0_172,plain,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
inference(split_conjunct,[status(thm)],[ax49]),
[final] ).
cnf(c_0_173,plain,
( ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_90,c_0_89]),
[final] ).
cnf(c_0_174,plain,
( ~ ain(asing(a1),apow(a2))
| ~ ain(a0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
| aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_107]),c_0_142]),
[final] ).
cnf(c_0_175,plain,
( ~ ain(X1,apow(a2))
| ~ ain(X1,apow(asing(a2)))
| ~ aal4(a1)
| ain(X1,a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_143,c_0_125]),
[final] ).
cnf(c_0_176,plain,
( ~ ain(X1,a4)
| ain(X1,asing(a3))
| ain(X1,apow(a2))
| ain(X1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_144,c_0_88]),
[final] ).
cnf(c_0_177,negated_conjecture,
asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
inference(split_conjunct,[status(thm)],[c_0_145]),
[final] ).
cnf(c_0_178,plain,
( ~ ain(X1,apow(a2))
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| ain(X1,asing(asing(a1)))
| ain(X1,apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_146]),
[final] ).
cnf(c_0_179,plain,
ain(a2,asm(a4,asing(a0))),
inference(rw,[status(thm)],[c_0_147,c_0_85]),
[final] ).
cnf(c_0_180,plain,
( ~ ain(a0,X1)
| ain(a1,apow(X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_95]),
[final] ).
cnf(c_0_181,plain,
( ~ ain(X1,a4)
| ain(X1,asing(a3))
| ain(X1,apow(a2))
| ain(X1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_144,c_0_118]),
[final] ).
cnf(c_0_182,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ~ ain(X1,apow(a2))
| ~ aal4(a1)
| ain(X1,a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]),
[final] ).
cnf(c_0_183,plain,
( ~ ain(X1,a4)
| ~ ain(X1,apow(asing(a2)))
| ain(X1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_132,c_0_88]),
[final] ).
cnf(c_0_184,plain,
( ain(asing(a2),asing(a2))
| ain(asing(a2),apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_150]),
[final] ).
cnf(c_0_185,plain,
( ~ ain(X1,a3)
| ~ ain(X1,asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]),
[final] ).
cnf(c_0_186,plain,
( ain(asing(asing(a1)),asing(a0))
| ain(asing(asing(a1)),asing(asing(a1)))
| ain(asing(asing(a1)),asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_153]),
[final] ).
cnf(c_0_187,plain,
( ~ ain(X1,a3)
| ~ ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_100,c_0_126]),
[final] ).
cnf(c_0_188,plain,
asubq(asing(a1),aun(asing(a1),asing(asing(a1)))),
inference(split_conjunct,[status(thm)],[ax17]),
[final] ).
cnf(c_0_189,plain,
( ain(a3,asing(a3))
| ain(a3,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_154]),
[final] ).
cnf(c_0_190,plain,
ain(a0,asm(a4,asing(a1))),
inference(split_conjunct,[status(thm)],[ax28]),
[final] ).
cnf(c_0_191,plain,
( ain(a1,apow(a2))
| ain(a1,aun(apow(asing(a2)),asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_90,c_0_155]),
[final] ).
cnf(c_0_192,plain,
( ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2)))
| ain(a1,asm(a4,asing(a0))) ),
inference(spm,[status(thm)],[c_0_98,c_0_156]),
[final] ).
cnf(c_0_193,plain,
( ~ ain(a1,apow(a2))
| ~ ain(a1,apow(asing(a2))) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]),
[final] ).
cnf(c_0_194,plain,
~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))),
inference(split_conjunct,[status(thm)],[c_0_159]),
[final] ).
cnf(c_0_196,plain,
( ~ ain(X1,apow(a2))
| ~ ain(X1,asing(a0))
| ain(X1,apow(asing(a1))) ),
inference(spm,[status(thm)],[c_0_100,c_0_133]),
[final] ).
cnf(c_0_197,plain,
( ~ ain(X1,apow(a2))
| ~ ain(X1,asing(a3))
| ain(X1,apow(asing(a1))) ),
inference(spm,[status(thm)],[c_0_160,c_0_88]),
[final] ).
cnf(c_0_198,plain,
ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
inference(split_conjunct,[status(thm)],[ax37]),
[final] ).
cnf(c_0_199,plain,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
inference(split_conjunct,[status(thm)],[ax36]),
[final] ).
cnf(c_0_200,plain,
( ~ ain(X1,asing(a0))
| ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_100,c_0_110]),
[final] ).
cnf(c_0_201,plain,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
inference(split_conjunct,[status(thm)],[ax25]),
[final] ).
cnf(c_0_202,plain,
( ~ ain(asing(a1),asm(a4,asing(a0)))
| ain(asing(a1),asing(a3)) ),
inference(spm,[status(thm)],[c_0_161,c_0_101]),
[final] ).
cnf(c_0_205,plain,
( ~ ain(X1,apow(a2))
| ain(X1,a2)
| ain(X1,asing(a2))
| X1 = asing(a1) ),
inference(spm,[status(thm)],[c_0_164,c_0_88]),
[final] ).
cnf(c_0_206,plain,
( ~ ain(X1,apow(a2))
| ain(X1,a4)
| ain(X1,apow(asing(a1))) ),
inference(spm,[status(thm)],[c_0_90,c_0_133]),
[final] ).
cnf(c_0_207,plain,
( ~ ain(X1,asm(a4,a2))
| ain(X1,asing(a2))
| X1 = a3 ),
inference(split_conjunct,[status(thm)],[c_0_165]),
[final] ).
cnf(c_0_212,plain,
( ~ ain(X1,apow(aun(asing(a1),asing(asing(a1)))))
| ain(X1,asing(a0))
| ain(X1,asing(aun(asing(a1),asing(asing(a1)))))
| ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_127,c_0_88]),
[final] ).
cnf(c_0_213,plain,
ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_119,c_0_167]),
[final] ).
cnf(c_0_214,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(X1,a1)
| ain(a0,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_106,c_0_138]),
[final] ).
cnf(c_0_215,plain,
( ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),asing(asing(a2)))
| ain(aun(X1,X2),asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]),
[final] ).
cnf(c_0_216,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ asubq(X2,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ aal4(aun(X2,asm(apow(a2),apow(asing(a1)))))
| ain(X1,aun(X2,asm(apow(a2),apow(asing(a1)))))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]),
[final] ).
cnf(c_0_217,plain,
ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(asing(a2))),
inference(spm,[status(thm)],[c_0_119,c_0_172]),
[final] ).
cnf(c_0_219,plain,
( ~ ain(X1,a4)
| ~ ain(X1,apow(asing(a1)))
| ain(X1,asing(a3))
| ain(X1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_117,c_0_88]),
[final] ).
cnf(c_0_220,plain,
( ~ ain(asing(a1),apow(a2))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
| ain(a0,asing(a2))
| aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_107]),c_0_108])]),
[final] ).
cnf(c_0_221,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ~ ain(X1,apow(a2))
| ~ aal4(a1)
| ain(X1,a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_149]),
[final] ).
cnf(c_0_222,plain,
asubq(a3,aun(a3,asing(apow(a2)))),
inference(split_conjunct,[status(thm)],[ax44]),
[final] ).
cnf(c_0_223,plain,
( ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),asing(asing(a2)))
| ain(aun(X1,X2),asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_168,c_0_140]),
[final] ).
cnf(c_0_224,plain,
asubq(a3,aun(a3,asing(apow(asing(a1))))),
inference(split_conjunct,[status(thm)],[ax43]),
[final] ).
cnf(c_0_225,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(asing(asing(a1))))
| ain(X1,asing(a0))
| ain(X1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_151,c_0_176]),
[final] ).
cnf(c_0_226,negated_conjecture,
ain(asm(apow(a2),asing(a2)),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_119,c_0_177]),
[final] ).
cnf(c_0_228,plain,
( ~ ain(X1,apow(X2))
| asubq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]),
[final] ).
cnf(c_0_229,plain,
( ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(X1,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ),
inference(spm,[status(thm)],[c_0_90,c_0_110]),
[final] ).
cnf(c_0_231,plain,
( ~ ain(X1,apow(a2))
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| ain(a0,asing(a2))
| ain(X1,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_124,c_0_178]),
[final] ).
cnf(c_0_232,plain,
( ain(a2,asing(a3))
| ain(a2,apow(a2)) ),
inference(spm,[status(thm)],[c_0_144,c_0_179]),
[final] ).
cnf(c_0_233,plain,
~ ain(a0,asing(a1)),
inference(spm,[status(thm)],[c_0_157,c_0_180]),
[final] ).
cnf(c_0_234,plain,
( ~ ain(X1,a4)
| ain(X1,apow(a2))
| ain(X1,asing(a3))
| ain(X1,asing(asing(a2)))
| ain(X1,asing(apow(a2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_181]),c_0_152]),
[final] ).
cnf(c_0_235,plain,
( ~ ain(X1,apow(a2))
| ain(X1,a3)
| ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_88,c_0_126]),
[final] ).
cnf(c_0_236,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ain(X1,a3)
| ain(X1,asing(asing(a2)))
| ain(X1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_168,c_0_149]),
[final] ).
cnf(c_0_237,plain,
( ~ ain(X1,a3)
| ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ~ aal4(a1)
| ain(X1,a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_182,c_0_152]),
[final] ).
cnf(c_0_238,plain,
( ~ ain(asing(a2),a4)
| ain(asing(a2),asing(a0))
| ain(asing(a2),asing(a2)) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]),
[final] ).
cnf(c_0_239,plain,
( ~ ain(asing(asing(a1)),a3)
| ain(asing(asing(a1)),asing(a0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),
[final] ).
cnf(c_0_240,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ aal4(aun(X2,asing(a1)))
| ain(X1,aun(X2,asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_170,c_0_188]),
[final] ).
cnf(c_0_241,plain,
( ~ ain(a3,a4)
| ain(a3,asing(a0))
| ain(a3,asing(a3)) ),
inference(spm,[status(thm)],[c_0_183,c_0_189]),
[final] ).
cnf(c_0_242,plain,
ain(a0,a4),
inference(spm,[status(thm)],[c_0_90,c_0_190]),
[final] ).
cnf(c_0_243,plain,
( ain(a1,apow(a2))
| ain(a1,apow(asing(a2)))
| ain(a1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_191]),
[final] ).
cnf(c_0_244,plain,
( ~ ain(a1,apow(asing(a2)))
| ain(a1,asing(apow(a2)))
| ain(a1,asing(asing(a2))) ),
inference(spm,[status(thm)],[c_0_132,c_0_192]),
[final] ).
cnf(c_0_245,plain,
( ~ ain(a1,asing(a3))
| ain(a1,aun(asing(asing(a2)),asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_160,c_0_130]),
[final] ).
cnf(c_0_246,plain,
( ain(a1,apow(a2))
| ain(a1,aun(asing(asing(a2)),asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_90,c_0_130]),
[final] ).
cnf(c_0_247,plain,
( ~ ain(a0,asing(a2))
| ~ ain(a1,apow(a2)) ),
inference(spm,[status(thm)],[c_0_193,c_0_180]),
[final] ).
cnf(c_0_248,plain,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
inference(split_conjunct,[status(thm)],[ax50]),
[final] ).
cnf(c_0_249,plain,
( ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2))))
| ~ asubq(aun(a4,asing(apow(a2))),aun(a4,asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_194,c_0_120]),
[final] ).
cnf(c_0_251,plain,
ain(a0,aun(a1,asing(a3))),
inference(split_conjunct,[status(thm)],[ax31]),
[final] ).
cnf(c_0_252,plain,
( ~ ain(a1,apow(a2))
| ~ ain(a1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_157,c_0_196]),
[final] ).
cnf(c_0_253,plain,
( ~ ain(a1,apow(a2))
| ~ ain(a1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_157,c_0_197]),
[final] ).
cnf(c_0_254,plain,
~ ain(asing(a2),asm(apow(a2),asing(a1))),
inference(spm,[status(thm)],[c_0_100,c_0_198]),
[final] ).
cnf(c_0_256,plain,
~ ain(a1,asm(apow(a2),asing(a1))),
inference(spm,[status(thm)],[c_0_100,c_0_199]),
[final] ).
cnf(c_0_258,plain,
~ ain(asing(a1),asing(a0)),
inference(spm,[status(thm)],[c_0_200,c_0_201]),
[final] ).
cnf(c_0_261,plain,
( ~ ain(X1,asm(a4,asing(a1)))
| ain(X1,asm(a4,a2))
| X1 = a0 ),
inference(split_conjunct,[status(thm)],[c_0_203]),
[final] ).
cnf(c_0_262,plain,
~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3),
inference(split_conjunct,[status(thm)],[c_0_204]),
[final] ).
cnf(c_0_264,plain,
( ~ ain(a1,a4)
| ~ ain(a0,asing(a2))
| ain(a1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_180]),
[final] ).
cnf(c_0_265,plain,
( ain(a0,a2)
| ain(a0,asing(a2))
| asing(a1) = a0 ),
inference(spm,[status(thm)],[c_0_205,c_0_108]),
[final] ).
cnf(c_0_266,plain,
( ~ ain(a1,apow(a2))
| ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_157,c_0_206]),
[final] ).
cnf(c_0_267,plain,
( ~ ain(X1,a4)
| ain(X1,a2)
| ain(X1,asing(a2))
| X1 = a3 ),
inference(spm,[status(thm)],[c_0_207,c_0_88]),
[final] ).
cnf(c_0_271,plain,
~ ain(a3,asm(apow(a2),asing(a1))),
inference(split_conjunct,[status(thm)],[c_0_209]),
[final] ).
cnf(c_0_284,plain,
( ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a0))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(aun(asing(a1),asing(asing(a1)))))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_212,c_0_213]),
[final] ).
cnf(c_0_285,plain,
( ~ ain(aun(X1,X2),a4)
| ~ ain(a0,apow(asing(a2)))
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),a3)
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_215]),
[final] ).
cnf(c_0_287,plain,
( ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(asing(a2)))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_168,c_0_217]),
[final] ).
cnf(c_0_288,plain,
( ~ ain(asing(a1),aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
| aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_97]),c_0_108])]),
[final] ).
cnf(c_0_289,plain,
( ~ asubq(X1,aun(asing(a1),asing(asing(a1))))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ain(aun(X1,X2),asing(a0))
| ain(aun(X1,X2),asing(aun(asing(a1),asing(asing(a1)))))
| ain(aun(X1,X2),aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_212,c_0_140]),
[final] ).
cnf(c_0_290,plain,
( ~ ain(aun(X1,X2),a4)
| ~ ain(aun(X1,X2),asing(a0))
| ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_182,c_0_140]),
[final] ).
cnf(c_0_291,plain,
( ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ain(aun(X1,X2),asing(a0))
| ain(aun(X1,X2),asing(a3)) ),
inference(spm,[status(thm)],[c_0_219,c_0_140]),
[final] ).
cnf(c_0_292,plain,
( ~ ain(asing(a1),apow(a2))
| ~ asubq(asing(a1),apow(asing(a1)))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ain(a0,asing(a2))
| aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_220,c_0_120]),
[final] ).
cnf(c_0_293,plain,
( ~ ain(asing(a1),apow(a2))
| ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ~ asubq(asing(a1),apow(asing(a1)))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ain(asing(a1),apow(asing(asing(a1))))
| aun(asing(a1),asing(asing(a1))) = apow(asing(a1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_146]),c_0_142]),
[final] ).
cnf(c_0_294,plain,
( ~ ain(aun(X1,X2),a4)
| ~ ain(aun(X1,X2),asing(a0))
| ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_221,c_0_140]),
[final] ).
cnf(c_0_295,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ asubq(X2,aun(a3,asing(apow(a2))))
| ~ aal4(aun(X2,a3))
| ain(X1,aun(X2,a3))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_170,c_0_222]),
[final] ).
cnf(c_0_296,plain,
asubq(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),aun(a3,asing(apow(a2)))),
inference(split_conjunct,[status(thm)],[ax82]),
[final] ).
cnf(c_0_297,plain,
( ~ ain(X1,apow(a2))
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| ain(X1,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_143,c_0_178]),
[final] ).
cnf(c_0_298,plain,
( ~ ain(X1,a3)
| ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ~ aal4(a1)
| ain(X1,a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_221,c_0_152]),
[final] ).
cnf(c_0_299,plain,
( ~ ain(a0,apow(asing(a2)))
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),a3)
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_223]),
[final] ).
cnf(c_0_300,plain,
( ~ ain(X1,asing(apow(asing(a1))))
| ~ asubq(X2,aun(a3,asing(apow(asing(a1)))))
| ~ aal4(aun(X2,a3))
| ain(X1,aun(X2,a3))
| aal3(a3)
| aal3(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_170,c_0_224]),
[final] ).
cnf(c_0_301,plain,
( ~ ain(asing(a1),apow(asing(a2)))
| ~ ain(a0,aun(a3,asing(apow(a2))))
| ~ asubq(a3,apow(asing(a1)))
| ~ asubq(asing(apow(a2)),apow(asing(a1)))
| ain(asing(a1),asing(asing(a2)))
| aun(a3,asing(apow(a2))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_141,c_0_138]),
[final] ).
cnf(c_0_302,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(a1)
| ain(X1,a1)
| ain(a0,asing(a2))
| ain(a0,apow(asing(asing(a1))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_146]),c_0_108])]),
[final] ).
cnf(c_0_303,plain,
( ~ ain(asing(asing(a1)),a4)
| ain(asing(asing(a1)),asing(a3))
| ain(asing(asing(a1)),asing(a0))
| ain(asing(asing(a1)),asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_225,c_0_186]),
[final] ).
cnf(c_0_304,negated_conjecture,
( ain(asm(apow(a2),asing(a2)),asing(a0))
| ain(asm(apow(a2),asing(a2)),asing(aun(asing(a1),asing(asing(a1)))))
| ain(asm(apow(a2),asing(a2)),aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_212,c_0_226]),
[final] ).
cnf(c_0_305,plain,
( ~ ain(asing(a1),apow(a2))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
| aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_97]),c_0_108])]),
[final] ).
cnf(c_0_306,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ aal4(a3)
| ain(X1,a3)
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_94,c_0_222]),
[final] ).
cnf(c_0_307,plain,
( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(a2))
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_148,c_0_217]),
[final] ).
cnf(c_0_308,plain,
( ~ ain(X3,X2)
| ~ ain(X5,apow(aun(X1,X2)))
| ~ asubq(X4,aun(X1,X2))
| ~ aal4(aun(X4,X5))
| ain(X3,aun(X4,X5))
| aal3(X2)
| aal3(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_228]),
[final] ).
cnf(c_0_309,plain,
( ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ain(X1,apow(aun(asing(a1),asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_90,c_0_229]),
[final] ).
cnf(c_0_310,plain,
( ~ aal3(aun(X1,X2))
| aal2(X2)
| aal2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_230]),
[final] ).
cnf(c_0_311,plain,
( ~ aal4(a1)
| ain(a2,a1)
| ain(a0,asing(a2))
| ain(a2,asing(a1))
| ain(a2,asing(a2))
| ain(a2,asing(a3))
| ain(a2,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_231,c_0_232]),
[final] ).
cnf(c_0_312,plain,
( ~ aal4(a1)
| ain(a0,a1)
| ain(a0,asing(a2))
| ain(a0,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_108]),c_0_233]),
[final] ).
cnf(c_0_313,plain,
( ~ ain(aun(X1,X2),apow(a2))
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_148,c_0_140]),
[final] ).
cnf(c_0_314,plain,
( ~ ain(X1,a4)
| ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,asing(a3))
| ain(X1,apow(a2))
| ain(X1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_234]),
[final] ).
cnf(c_0_315,plain,
( ain(asing(a2),a3)
| ain(asing(a2),asing(a2))
| ain(asing(a2),asing(asing(a2)))
| ain(asing(a2),asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_168,c_0_184]),
[final] ).
cnf(c_0_316,plain,
( ~ ain(X1,a4)
| ain(X1,a3)
| ain(X1,asing(a0))
| ain(X1,asing(a3))
| ain(X1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_235,c_0_176]),
[final] ).
cnf(c_0_317,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,a3)
| ain(X1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_236]),
[final] ).
cnf(c_0_318,plain,
( ~ ain(asing(a2),a3)
| ~ ain(asing(a2),a4)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asing(a2),a1)
| ain(asing(a2),asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_237,c_0_238]),
[final] ).
cnf(c_0_319,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_235,c_0_140]),
[final] ).
cnf(c_0_320,plain,
( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(a2))
| ~ aal4(a1)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_217]),
[final] ).
cnf(c_0_321,plain,
( ~ ain(asing(asing(a1)),a3)
| ~ ain(asing(asing(a1)),a4)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asing(asing(a1)),a1)
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_237,c_0_239]),
[final] ).
cnf(c_0_322,plain,
( ~ ain(aun(X1,X2),apow(a2))
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_140]),
[final] ).
cnf(c_0_323,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ ain(X2,apow(aun(asing(a1),asing(asing(a1)))))
| ~ aal4(aun(X2,asing(a1)))
| ain(X1,aun(X2,asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_228]),
[final] ).
cnf(c_0_324,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(asing(a1))
| ain(X1,asing(a1))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_94,c_0_188]),
[final] ).
cnf(c_0_325,plain,
( ain(a3,a3)
| ain(a3,asing(a3))
| ain(a3,asing(asing(a2)))
| ain(a3,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_168,c_0_189]),
[final] ).
cnf(c_0_326,plain,
asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))),
inference(split_conjunct,[status(thm)],[ax60]),
[final] ).
cnf(c_0_327,plain,
asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))),
inference(split_conjunct,[status(thm)],[ax19]),
[final] ).
cnf(c_0_328,plain,
( ~ ain(asing(a2),apow(a2))
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asing(a2),a1)
| ain(asing(a2),asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_148,c_0_184]),
[final] ).
cnf(c_0_329,plain,
( ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ain(a1,asing(a0))
| ain(a1,asing(aun(asing(a1),asing(asing(a1)))))
| ain(a1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_212,c_0_180]),
[final] ).
cnf(c_0_330,plain,
( ~ ain(a3,a3)
| ~ ain(a3,a4)
| ~ aal4(a1)
| ain(a3,a1)
| ain(a0,asing(a2))
| ain(a3,asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_237,c_0_241]),
[final] ).
cnf(c_0_331,plain,
( ~ ain(a0,asing(a0))
| ~ aal4(a1)
| ain(a0,a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_108]),c_0_242])]),
[final] ).
cnf(c_0_332,plain,
( ~ ain(a1,a4)
| ain(a1,asing(a0))
| ain(a1,apow(a2))
| ain(a1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_183,c_0_243]),
[final] ).
cnf(c_0_333,plain,
( ~ ain(a3,apow(a2))
| ~ aal4(a1)
| ain(a3,a1)
| ain(a0,asing(a2))
| ain(a3,asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_148,c_0_189]),
[final] ).
cnf(c_0_334,plain,
( ~ ain(a0,asing(a2))
| ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_244,c_0_180]),
[final] ).
cnf(c_0_335,plain,
( ~ ain(a1,asing(a0))
| ain(a1,asing(apow(a2)))
| ain(a1,asing(asing(a2))) ),
inference(spm,[status(thm)],[c_0_100,c_0_192]),
[final] ).
cnf(c_0_336,plain,
( ~ ain(a1,asing(a3))
| ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_245]),
[final] ).
cnf(c_0_337,plain,
( ain(a1,apow(a2))
| ain(a1,asing(asing(a2)))
| ain(a1,asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_246]),
[final] ).
cnf(c_0_338,plain,
( ain(a2,a3)
| ain(a2,asing(a3))
| ain(a2,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_235,c_0_232]),
[final] ).
cnf(c_0_339,plain,
( ~ ain(a0,a2)
| ain(a1,a3)
| ain(a1,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_235,c_0_180]),
[final] ).
cnf(c_0_340,plain,
( ~ ain(a0,a2)
| ~ ain(a0,asing(a2)) ),
inference(spm,[status(thm)],[c_0_247,c_0_180]),
[final] ).
cnf(c_0_341,plain,
ain(asm(asm(apow(a2),a2),asing(a2)),apow(asing(asing(a1)))),
inference(spm,[status(thm)],[c_0_119,c_0_248]),
[final] ).
cnf(c_0_342,plain,
( ain(a0,a3)
| ain(a0,asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_235,c_0_108]),
[final] ).
cnf(c_0_343,plain,
( ~ ain(a0,asing(asing(a1)))
| ~ aal4(a1)
| ain(a1,a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_124,c_0_180]),
[final] ).
cnf(c_0_344,plain,
( ~ ain(X3,X1)
| ~ ain(X4,apow(aun(X2,X1)))
| ~ aal4(X4)
| ain(X3,X4)
| aal3(X2)
| aal3(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_228]),
[final] ).
cnf(c_0_345,plain,
( ~ asubq(a4,aun(a4,asing(apow(a2))))
| ~ asubq(asing(apow(a2)),aun(a4,asing(apow(a2))))
| ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_249,c_0_120]),
[final] ).
cnf(c_0_346,plain,
~ ain(asm(a3,asing(a1)),asing(asing(a1))),
inference(split_conjunct,[status(thm)],[c_0_250]),
[final] ).
cnf(c_0_347,plain,
( ~ ain(X1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ain(X1,apow(a2))
| ain(X1,asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_88,c_0_91]),
[final] ).
cnf(c_0_348,plain,
( ~ ain(X1,asing(a3))
| ~ aal4(a1)
| ain(X1,a1)
| aal3(a1)
| aal3(asing(a3)) ),
inference(spm,[status(thm)],[c_0_106,c_0_251]),
[final] ).
cnf(c_0_349,plain,
( ain(a2,a2)
| ain(a2,asing(a2))
| ain(a2,asing(a3))
| asing(a1) = a2 ),
inference(spm,[status(thm)],[c_0_205,c_0_232]),
[final] ).
cnf(c_0_350,plain,
( ~ ain(a1,a3)
| ~ ain(a0,asing(a2)) ),
inference(spm,[status(thm)],[c_0_247,c_0_152]),
[final] ).
cnf(c_0_351,plain,
( ~ ain(a1,a3)
| ~ ain(a1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_252,c_0_152]),
[final] ).
cnf(c_0_352,plain,
( ~ ain(a1,a3)
| ~ ain(a1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_253,c_0_152]),
[final] ).
cnf(c_0_353,plain,
( ~ ain(asing(a2),apow(a2))
| ain(asing(a2),asing(a1)) ),
inference(spm,[status(thm)],[c_0_254,c_0_88]),
[final] ).
cnf(c_0_355,plain,
( ~ ain(a1,apow(a2))
| ain(a1,asing(a1)) ),
inference(spm,[status(thm)],[c_0_256,c_0_88]),
[final] ).
cnf(c_0_357,plain,
( ~ ain(asing(a1),a4)
| ain(asing(a1),asing(a3)) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]),
[final] ).
cnf(c_0_358,plain,
( ~ ain(a0,a1)
| ~ ain(asing(a1),a1)
| ~ ain(a0,apow(asing(a1)))
| apow(asing(a1)) = a1 ),
inference(spm,[status(thm)],[c_0_121,c_0_95]),
[final] ).
cnf(c_0_360,plain,
( ~ ain(X1,a4)
| ain(X1,asing(a1))
| ain(X1,asm(a4,a2))
| X1 = a0 ),
inference(spm,[status(thm)],[c_0_261,c_0_88]),
[final] ).
cnf(c_0_361,plain,
( ain(a0,a1)
| ain(a0,asing(a3)) ),
inference(spm,[status(thm)],[c_0_98,c_0_251]),
[final] ).
cnf(c_0_362,plain,
( ~ asubq(apow(asing(asing(a1))),a3)
| ~ asubq(asm(apow(a2),apow(asing(a1))),a3) ),
inference(spm,[status(thm)],[c_0_262,c_0_120]),
[final] ).
cnf(c_0_364,plain,
( ~ ain(a1,a4)
| ain(a0,a2)
| ain(a1,asing(a0))
| asing(a1) = a0 ),
inference(spm,[status(thm)],[c_0_264,c_0_265]),
[final] ).
cnf(c_0_365,plain,
( ~ ain(a1,a3)
| ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_266,c_0_152]),
[final] ).
cnf(c_0_366,plain,
( ~ ain(a1,a4)
| ain(a0,a2)
| ain(a1,asing(a0))
| a0 = a3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_267]),c_0_242])]),
[final] ).
cnf(c_0_367,plain,
ain(asing(a2),aun(asing(asing(a2)),a4)),
inference(spm,[status(thm)],[c_0_90,c_0_198]),
[final] ).
cnf(c_0_368,plain,
~ aal6(aun(asing(apow(asing(a1))),a4)),
inference(split_conjunct,[status(thm)],[c_0_268]),
[final] ).
cnf(c_0_369,plain,
( ~ aal4(X2)
| ~ aal2(X1)
| ~ adisjoint(X1,X2)
| aal6(aun(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_269]),
[final] ).
cnf(c_0_370,plain,
( ~ aal2(X2)
| ~ aal4(X1)
| ~ adisjoint(X1,X2)
| aal6(aun(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_270]),
[final] ).
cnf(c_0_371,plain,
ain(a1,aun(asing(asing(a2)),a4)),
inference(spm,[status(thm)],[c_0_90,c_0_199]),
[final] ).
cnf(c_0_372,plain,
ain(a3,aun(asing(asing(a2)),a4)),
inference(split_conjunct,[status(thm)],[ax38]),
[final] ).
cnf(c_0_373,plain,
( ~ ain(a3,apow(a2))
| ain(a3,asing(a1)) ),
inference(spm,[status(thm)],[c_0_271,c_0_88]),
[final] ).
cnf(c_0_374,plain,
( ~ ain(X1,asing(aun(asing(a1),asing(asing(a1)))))
| ~ ain(X1,aun(asing(asing(a1)),asing(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_100,c_0_229]),
[final] ).
cnf(c_0_376,plain,
( ain(asing(a1),asing(asing(a1)))
| ain(asing(a1),asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_201]),
[final] ).
cnf(c_0_382,plain,
~ asubq(a2,a1),
inference(split_conjunct,[status(thm)],[c_0_278]),
[final] ).
cnf(c_0_388,plain,
asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
inference(split_conjunct,[status(thm)],[ax63]),
[final] ).
cnf(c_0_389,plain,
asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))),
inference(split_conjunct,[status(thm)],[ax47]),
[final] ).
cnf(c_0_390,plain,
asubq(asm(apow(a2),apow(asing(a1))),a4),
inference(split_conjunct,[status(thm)],[ax61]),
[final] ).
cnf(c_0_391,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ asubq(X2,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ asubq(X3,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
| ~ aal4(aun(aun(X2,X3),asm(apow(a2),apow(asing(a1)))))
| ain(X1,aun(aun(X2,X3),asm(apow(a2),apow(asing(a1)))))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_216,c_0_120]),
[final] ).
cnf(c_0_392,plain,
( ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a0))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(asing(a1)))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(asing(asing(a1))))
| ain(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(aun(asing(a1),asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_98,c_0_284]),
[final] ).
cnf(c_0_393,plain,
( ~ ain(a0,asing(a0))
| ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a3))
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_149]),c_0_242])]),
[final] ).
cnf(c_0_394,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ ain(X2,apow(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))))
| ~ aal4(aun(X2,asm(apow(a2),apow(asing(a1)))))
| ain(X1,aun(X2,asm(apow(a2),apow(asing(a1)))))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_216,c_0_228]),
[final] ).
cnf(c_0_395,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ aal4(aun(a1,asm(apow(a2),apow(asing(a1)))))
| ain(X1,aun(a1,asm(apow(a2),apow(asing(a1)))))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_97]),c_0_108])]),
[final] ).
cnf(c_0_396,plain,
( ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(a0,asing(asing(a2)))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_287]),
[final] ).
cnf(c_0_397,plain,
( ~ ain(asm(apow(a2),apow(asing(a2))),apow(apow(asing(a1))))
| ~ ain(asing(a1),aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_288,c_0_228]),
[final] ).
cnf(c_0_398,plain,
( ~ asubq(X1,aun(asing(a1),asing(asing(a1))))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ain(aun(X1,X2),asing(a0))
| ain(aun(X1,X2),asing(asing(a1)))
| ain(aun(X1,X2),asing(asing(asing(a1))))
| ain(aun(X1,X2),asing(aun(asing(a1),asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_98,c_0_289]),
[final] ).
cnf(c_0_399,plain,
( ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]),
[final] ).
cnf(c_0_400,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a1))
| ain(aun(X1,X2),asing(a2))
| ain(aun(X1,X2),asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_231,c_0_140]),
[final] ).
cnf(c_0_401,plain,
( ~ ain(aun(X1,X2),a4)
| ~ ain(aun(X1,X2),apow(a2))
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_148,c_0_169]),
[final] ).
cnf(c_0_402,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ aal4(aun(asm(apow(a2),apow(asing(a1))),asm(apow(a2),apow(asing(a1)))))
| ain(X1,aun(asm(apow(a2),apow(asing(a1))),asm(apow(a2),apow(asing(a1)))))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_216,c_0_171]),
[final] ).
cnf(c_0_403,plain,
( ~ ain(aun(X1,X2),a3)
| ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_237,c_0_291]),
[final] ).
cnf(c_0_404,plain,
( ~ ain(asing(a1),apow(a2))
| ~ ain(apow(asing(asing(a1))),apow(apow(asing(a1))))
| ~ asubq(asing(a1),apow(asing(a1)))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ain(a0,asing(a2))
| aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_292,c_0_228]),
[final] ).
cnf(c_0_405,plain,
( ~ ain(X1,a4)
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| ain(X1,asing(a0))
| ain(X1,asing(a3))
| ain(a0,asing(a2))
| ain(X1,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_231,c_0_176]),
[final] ).
cnf(c_0_406,plain,
( ~ ain(asing(a1),apow(a2))
| ~ ain(asing(asing(a1)),apow(apow(asing(a1))))
| ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ~ asubq(asing(a1),apow(asing(a1)))
| ain(asing(a1),apow(asing(asing(a1))))
| aun(asing(a1),asing(asing(a1))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_293,c_0_228]),
[final] ).
cnf(c_0_407,plain,
( ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_294,c_0_291]),
[final] ).
cnf(c_0_408,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ aal4(aun(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),a3))
| ain(X1,aun(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),a3))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_295,c_0_296]),
[final] ).
cnf(c_0_409,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a1))
| ain(aun(X1,X2),asing(a2))
| ain(aun(X1,X2),asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_297,c_0_140]),
[final] ).
cnf(c_0_410,plain,
( ~ ain(asing(a1),apow(a2))
| ~ ain(aun(asing(a1),asing(asing(a1))),apow(apow(asing(a1))))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| ain(a0,asing(a2))
| aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_220,c_0_228]),
[final] ).
cnf(c_0_411,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ asubq(X3,aun(asing(a1),asing(asing(a1))))
| ~ aal4(aun(aun(X2,X3),asing(a1)))
| ain(X1,aun(aun(X2,X3),asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_120]),
[final] ).
cnf(c_0_412,plain,
( ~ ain(aun(X1,X2),a3)
| ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_298,c_0_291]),
[final] ).
cnf(c_0_413,plain,
( ~ ain(a0,asing(a0))
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),a1)
| ain(a0,asing(asing(a2)))
| ain(aun(X1,X2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_149]),c_0_242])]),
[final] ).
cnf(c_0_414,plain,
( ~ ain(X1,asing(apow(asing(a1))))
| ~ asubq(X2,aun(a3,asing(apow(asing(a1)))))
| ~ asubq(X3,aun(a3,asing(apow(asing(a1)))))
| ~ aal4(aun(aun(X2,X3),a3))
| ain(X1,aun(aun(X2,X3),a3))
| aal3(a3)
| aal3(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_300,c_0_120]),
[final] ).
cnf(c_0_415,plain,
( ~ ain(X1,a4)
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| ain(X1,asing(a0))
| ain(X1,asing(a3))
| ain(X1,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_297,c_0_176]),
[final] ).
cnf(c_0_416,plain,
( ~ ain(asing(a1),apow(asing(a2)))
| ~ ain(a0,aun(a3,asing(apow(a2))))
| ~ ain(asing(apow(a2)),apow(apow(asing(a1))))
| ~ asubq(a3,apow(asing(a1)))
| ain(asing(a1),asing(asing(a2)))
| aun(a3,asing(apow(a2))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_301,c_0_228]),
[final] ).
cnf(c_0_417,plain,
( ~ ain(asing(asing(a1)),a4)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asing(asing(a1)),a1)
| ain(a0,apow(asing(asing(a1))))
| ain(asing(asing(a1)),asing(a0))
| ain(asing(asing(a1)),asing(a3))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]),
[final] ).
cnf(c_0_418,negated_conjecture,
( ain(asm(apow(a2),asing(a2)),asing(a0))
| ain(asm(apow(a2),asing(a2)),asing(asing(a1)))
| ain(asm(apow(a2),asing(a2)),asing(asing(asing(a1))))
| ain(asm(apow(a2),asing(a2)),asing(aun(asing(a1),asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_98,c_0_304]),
[final] ).
cnf(c_0_419,plain,
( ~ ain(asing(a1),apow(a2))
| ~ ain(asm(apow(a2),apow(asing(a2))),apow(apow(asing(a1))))
| ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
| aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_305,c_0_228]),
[final] ).
cnf(c_0_420,plain,
( ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a3)
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),asing(a3))
| ain(aun(X1,X2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_306,c_0_215]),
[final] ).
cnf(c_0_421,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(aun(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a1)))
| ain(X1,aun(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_167]),
[final] ).
cnf(c_0_422,plain,
( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_307,c_0_152]),
[final] ).
cnf(c_0_423,plain,
( ~ ain(aun(X1,X2),a4)
| ~ ain(aun(X1,X2),apow(a2))
| ~ asubq(X1,asing(a1))
| ~ asubq(X2,asing(a1))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_169]),
[final] ).
cnf(c_0_424,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ ain(X3,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ aal4(aun(X2,X3))
| ain(X1,aun(X2,X3))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_308,c_0_309]),
[final] ).
cnf(c_0_425,plain,
( ~ aal4(a1)
| ain(a2,a1)
| ain(a2,asing(a3))
| ain(a2,asing(a2))
| ain(a2,asing(a1))
| ain(a0,asing(a2))
| ain(a2,asing(asing(a1)))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]),
[final] ).
cnf(c_0_426,plain,
( ~ ain(X1,a3)
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_152]),c_0_187]),
[final] ).
cnf(c_0_427,plain,
( ~ aal4(a1)
| ain(a0,a1)
| ain(a0,asing(a2))
| ain(a0,asing(asing(a1)))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_312]),
[final] ).
cnf(c_0_428,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ asubq(X2,aun(a3,asing(apow(a2))))
| ~ asubq(X3,aun(a3,asing(apow(a2))))
| ~ aal4(aun(aun(X2,X3),a3))
| ain(X1,aun(aun(X2,X3),a3))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_295,c_0_120]),
[final] ).
cnf(c_0_429,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_313,c_0_140]),
[final] ).
cnf(c_0_430,plain,
( ~ ain(aun(X1,X2),a3)
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| ain(a0,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_313,c_0_152]),
[final] ).
cnf(c_0_431,plain,
( ~ ain(X1,a4)
| ~ ain(a0,asing(a0))
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,apow(a2))
| ain(X1,asing(a3))
| ain(X1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_149]),c_0_242])]),
[final] ).
cnf(c_0_432,plain,
( ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(asing(a2),a1)
| ain(asing(a2),a3)
| ain(a0,asing(asing(a2)))
| ain(asing(a2),asing(a2))
| ain(asing(a2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_315]),
[final] ).
cnf(c_0_433,negated_conjecture,
( ~ ain(X1,asing(asing(a1)))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ aal4(aun(X2,asm(apow(a2),asing(a2))))
| ain(X1,aun(X2,asm(apow(a2),asing(a2))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_170,c_0_177]),
[final] ).
cnf(c_0_434,plain,
( ~ ain(X1,a4)
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,a3)
| ain(X1,asing(a3))
| ain(X1,asing(a0))
| ain(a0,asing(a2))
| ain(a0,apow(asing(asing(a1))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_302,c_0_316]),
[final] ).
cnf(c_0_435,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ~ ain(a0,asing(a0))
| ~ aal4(a1)
| ain(X1,a3)
| ain(X1,a1)
| ain(X1,asing(asing(a2)))
| ain(a0,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_149]),c_0_242])]),
[final] ).
cnf(c_0_436,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ aal4(aun(X2,asm(asm(apow(a2),apow(asing(a2))),asing(a2))))
| ain(X1,aun(X2,asm(asm(apow(a2),apow(asing(a2))),asing(a2))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_170,c_0_167]),
[final] ).
cnf(c_0_437,plain,
( ~ ain(asing(a2),a3)
| ~ ain(asing(a2),a4)
| ~ aal4(a1)
| ain(asing(a2),a1)
| ain(a0,asing(a2))
| ain(asing(a2),asing(a2))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_318]),
[final] ).
cnf(c_0_438,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| ain(aun(X1,X2),a3)
| ain(a0,apow(asing(asing(a1))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_302,c_0_319]),
[final] ).
cnf(c_0_439,plain,
( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
| ~ aal4(a1)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_320,c_0_152]),
[final] ).
cnf(c_0_440,plain,
( ~ aal4(a1)
| ain(a2,a1)
| ain(a2,asing(a1))
| ain(a2,asing(a2))
| ain(a2,asing(a3))
| ain(a2,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_297,c_0_232]),
[final] ).
cnf(c_0_441,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ asubq(X2,aun(a3,asing(apow(a2))))
| ~ aal4(aun(X2,asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2)))))
| ain(X1,aun(X2,asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2)))))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_170,c_0_296]),
[final] ).
cnf(c_0_442,plain,
( ~ ain(X1,a3)
| ~ aal4(a1)
| ain(X1,a1)
| ain(X1,asing(a1))
| ain(X1,asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_152]),c_0_187]),
[final] ).
cnf(c_0_443,plain,
( ~ aal4(a1)
| ain(a0,a1)
| ain(a0,asing(a2))
| ain(a0,asing(asing(a1)))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_108]),c_0_233]),
[final] ).
cnf(c_0_444,plain,
( ~ ain(asing(asing(a1)),a3)
| ~ ain(asing(asing(a1)),a4)
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asing(asing(a1)),a1)
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_321]),
[final] ).
cnf(c_0_445,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_322,c_0_140]),
[final] ).
cnf(c_0_446,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ ain(X2,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ aal4(aun(X2,asing(a1)))
| ain(X1,aun(X2,asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_323,c_0_309]),
[final] ).
cnf(c_0_447,plain,
( ~ asubq(X1,asing(asing(a1)))
| ~ asubq(X2,asing(asing(a1)))
| ~ aal4(a1)
| ain(a0,asing(a2))
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_124,c_0_140]),
[final] ).
cnf(c_0_448,plain,
( ~ ain(X3,X2)
| ~ asubq(X5,aun(X1,X2))
| ~ asubq(X6,aun(X1,X2))
| ~ asubq(X4,aun(X1,X2))
| ~ aal4(aun(X4,aun(X5,X6)))
| ain(X3,aun(X4,aun(X5,X6)))
| aal3(X2)
| aal3(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_120]),
[final] ).
cnf(c_0_449,plain,
( ~ ain(asing(asing(a1)),a4)
| ~ aal4(asing(a1))
| ain(asing(asing(a1)),asing(a1))
| ain(asing(asing(a1)),asing(a0))
| ain(asing(asing(a1)),asing(a3))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_324,c_0_303]),
[final] ).
cnf(c_0_450,plain,
( ~ ain(aun(X1,X2),a3)
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_322,c_0_152]),
[final] ).
cnf(c_0_451,plain,
( ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(a3,a1)
| ain(a3,a3)
| ain(a3,asing(a3))
| ain(a0,asing(asing(a2)))
| ain(a3,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_325]),
[final] ).
cnf(c_0_452,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ asubq(X2,aun(a4,asing(apow(a2))))
| ~ aal4(aun(X2,asm(a3,asing(a1))))
| ain(X1,aun(X2,asm(a3,asing(a1))))
| aal3(a4)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_170,c_0_326]),
[final] ).
cnf(c_0_453,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ asubq(X2,aun(asing(a1),asing(asing(a1))))
| ~ aal4(aun(X2,asing(asing(a1))))
| ain(X1,aun(X2,asing(asing(a1))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_170,c_0_327]),
[final] ).
cnf(c_0_454,plain,
( ~ ain(asing(a2),apow(a2))
| ~ aal4(a1)
| ain(asing(a2),a1)
| ain(a0,asing(a2))
| ain(asing(a2),asing(a2))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_328]),
[final] ).
cnf(c_0_455,plain,
( ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ain(a1,asing(a0))
| ain(a1,asing(asing(a1)))
| ain(a1,asing(asing(asing(a1))))
| ain(a1,asing(aun(asing(a1),asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_98,c_0_329]),
[final] ).
cnf(c_0_456,plain,
( ~ ain(a3,a3)
| ~ ain(a3,a4)
| ~ aal4(a1)
| ain(a3,a1)
| ain(a3,asing(a3))
| ain(a0,asing(a2))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_330]),
[final] ).
cnf(c_0_457,plain,
( ~ ain(a0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ asubq(asing(asing(a1)),apow(asing(a1)))
| ~ asubq(asing(asing(asing(a1))),apow(asing(a1)))
| aun(asing(asing(a1)),asing(asing(asing(a1)))) = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_141,c_0_201]),
[final] ).
cnf(c_0_458,plain,
( ~ ain(a0,asing(a0))
| ~ aal4(a1)
| ain(a0,a1)
| ain(a0,asing(a2))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_331]),
[final] ).
cnf(c_0_459,plain,
( ~ ain(a1,a4)
| ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(a1,a1)
| ain(a1,apow(a2))
| ain(a1,asing(a0))
| ain(a0,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_332]),
[final] ).
cnf(c_0_460,negated_conjecture,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(aun(asm(apow(a2),asing(a2)),asing(a1)))
| ain(X1,aun(asm(apow(a2),asing(a2)),asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_177]),
[final] ).
cnf(c_0_461,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ ain(a0,aun(asing(a1),asing(asing(a1))))
| ~ aal4(aun(a1,asing(a1)))
| ain(X1,aun(a1,asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_95]),
[final] ).
cnf(c_0_462,plain,
( ~ ain(X1,asing(apow(asing(a1))))
| ~ ain(X2,apow(aun(a3,asing(apow(asing(a1))))))
| ~ aal4(aun(X2,a3))
| ain(X1,aun(X2,a3))
| aal3(a3)
| aal3(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_300,c_0_228]),
[final] ).
cnf(c_0_463,plain,
( ~ ain(asing(a2),a3)
| ~ ain(asing(a2),a4)
| ~ aal4(a1)
| ain(asing(a2),a1)
| ain(asing(a2),asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_298,c_0_238]),
[final] ).
cnf(c_0_464,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(aun(asing(asing(a1)),asing(a1)))
| ain(X1,aun(asing(asing(a1)),asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_327]),
[final] ).
cnf(c_0_465,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(aun(asing(a1),asing(a1)))
| ain(X1,aun(asing(a1),asing(a1)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_188]),
[final] ).
cnf(c_0_466,plain,
( ~ aal4(a3)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_306,c_0_287]),
[final] ).
cnf(c_0_467,plain,
( ~ ain(X1,asing(apow(asing(a1))))
| ~ ain(a0,aun(a3,asing(apow(asing(a1)))))
| ~ aal4(aun(a1,a3))
| ain(X1,aun(a1,a3))
| aal3(a3)
| aal3(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_300,c_0_95]),
[final] ).
cnf(c_0_468,plain,
( ~ ain(a3,apow(a2))
| ~ aal4(a1)
| ain(a3,a1)
| ain(a3,asing(a3))
| ain(a0,asing(a2))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_333]),
[final] ).
cnf(c_0_469,plain,
( ~ ain(a0,asing(a2))
| ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(a1,a1)
| ain(a0,asing(asing(a2)))
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_334]),
[final] ).
cnf(c_0_470,plain,
( ~ ain(a1,asing(a0))
| ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(a1,a1)
| ain(a0,asing(asing(a2)))
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_335]),
[final] ).
cnf(c_0_471,plain,
( ~ ain(a1,asing(a3))
| ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(a1,a1)
| ain(a0,asing(asing(a2)))
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_336]),
[final] ).
cnf(c_0_472,plain,
( ~ ain(a0,apow(asing(a2)))
| ~ aal4(a1)
| ain(a1,a1)
| ain(a1,apow(a2))
| ain(a0,asing(asing(a2)))
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_214,c_0_337]),
[final] ).
cnf(c_0_473,plain,
( ~ ain(X1,asing(apow(asing(a1))))
| ~ aal4(aun(a3,a3))
| ain(X1,aun(a3,a3))
| aal3(a3)
| aal3(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_300,c_0_224]),
[final] ).
cnf(c_0_474,plain,
( ~ ain(asing(asing(a1)),a3)
| ~ ain(asing(asing(a1)),a4)
| ~ aal4(a1)
| ain(asing(asing(a1)),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_298,c_0_239]),
[final] ).
cnf(c_0_475,plain,
( ~ aal4(a1)
| ain(a2,a1)
| ain(a2,a3)
| ain(a0,asing(a2))
| ain(a2,asing(a3))
| ain(a0,apow(asing(asing(a1))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_302,c_0_338]),
[final] ).
cnf(c_0_476,plain,
( ~ asubq(X1,asing(asing(a1)))
| ~ asubq(X2,asing(asing(a1)))
| ~ aal4(a1)
| ain(aun(X1,X2),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_143,c_0_140]),
[final] ).
cnf(c_0_477,plain,
( ~ ain(a0,a2)
| ~ aal4(a1)
| ain(a1,a1)
| ain(a1,a3)
| ain(a0,apow(asing(asing(a1))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_339]),c_0_340]),
[final] ).
cnf(c_0_478,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ ain(X2,apow(aun(a3,asing(apow(a2)))))
| ~ aal4(aun(X2,a3))
| ain(X1,aun(X2,a3))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_295,c_0_228]),
[final] ).
cnf(c_0_479,plain,
( ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ~ aal4(a3)
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_306,c_0_223]),
[final] ).
cnf(c_0_480,plain,
( ~ ain(a3,a3)
| ~ ain(a3,a4)
| ~ aal4(a1)
| ain(a3,a1)
| ain(a3,asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_298,c_0_241]),
[final] ).
cnf(c_0_481,plain,
( ~ ain(a0,asing(a0))
| ~ aal4(a1)
| ain(a0,a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_108]),c_0_242])]),
[final] ).
cnf(c_0_482,plain,
( ~ ain(asing(a2),apow(a2))
| ~ aal4(a1)
| ain(asing(a2),a1)
| ain(asing(a2),asing(a2))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_184]),
[final] ).
cnf(c_0_483,plain,
( ~ ain(X1,a4)
| ~ aal4(asing(a1))
| ain(X1,a3)
| ain(X1,asing(a1))
| ain(X1,asing(a3))
| ain(X1,asing(a0))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_324,c_0_316]),
[final] ).
cnf(c_0_484,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ aal4(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))))
| ain(X1,asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_94,c_0_296]),
[final] ).
cnf(c_0_485,plain,
( ~ aal4(a1)
| ain(a0,asing(a2))
| ain(asm(asm(apow(a2),a2),asing(a2)),a1)
| aal3(apow(asing(asing(a1))))
| aal3(aun(asing(a1),asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_124,c_0_341]),
[final] ).
cnf(c_0_486,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ ain(a0,aun(a3,asing(apow(a2))))
| ~ aal4(aun(a1,a3))
| ain(X1,aun(a1,a3))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_295,c_0_95]),
[final] ).
cnf(c_0_487,plain,
( ~ aal4(a1)
| ain(a0,a1)
| ain(a0,a3)
| ain(a0,asing(a2))
| ain(a0,apow(asing(asing(a1))))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_302,c_0_342]),
[final] ).
cnf(c_0_488,plain,
( ~ ain(a0,asing(asing(a1)))
| ~ aal4(a1)
| ain(a1,a1)
| ain(a0,asing(a2))
| aal2(asing(a1))
| aal2(asing(asing(a1)))
| aal3(apow(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_310,c_0_343]),
[final] ).
cnf(c_0_489,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ ain(X2,aun(asing(asing(a1)),asing(asing(asing(a1)))))
| ~ aal4(X2)
| ain(X1,X2)
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_344,c_0_309]),
[final] ).
cnf(c_0_490,plain,
( ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ain(X1,apow(asing(asing(a1))))
| ain(X1,asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_173]),
[final] ).
cnf(c_0_491,plain,
( ~ ain(X1,a4)
| ~ aal4(a3)
| ain(X1,asing(a3))
| ain(X1,apow(a2))
| ain(X1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_234]),c_0_152]),
[final] ).
cnf(c_0_492,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ aal4(aun(a3,a3))
| ain(X1,aun(a3,a3))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_295,c_0_222]),
[final] ).
cnf(c_0_493,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ~ aal4(asing(a1))
| ain(aun(X1,X2),a3)
| ain(aun(X1,X2),asing(a1))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_324,c_0_319]),
[final] ).
cnf(c_0_494,plain,
( ~ ain(asing(apow(a2)),apow(aun(a4,asing(apow(a2)))))
| ~ asubq(a4,aun(a4,asing(apow(a2))))
| ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_345,c_0_228]),
[final] ).
cnf(c_0_495,plain,
( ~ ain(a3,apow(a2))
| ~ aal4(a1)
| ain(a3,a1)
| ain(a3,asing(a3))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_189]),
[final] ).
cnf(c_0_496,plain,
( ~ ain(X3,X2)
| ~ ain(a0,aun(X1,X2))
| ~ asubq(X4,aun(X1,X2))
| ~ aal4(aun(X4,a1))
| ain(X3,aun(X4,a1))
| aal3(X2)
| aal3(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_95]),
[final] ).
cnf(c_0_497,plain,
( ~ ain(asm(a3,asing(a1)),a4)
| ain(asm(a3,asing(a1)),a3)
| ain(asm(a3,asing(a1)),asing(a3))
| ain(asm(a3,asing(a1)),asing(a0)) ),
inference(spm,[status(thm)],[c_0_346,c_0_316]),
[final] ).
cnf(c_0_498,plain,
( ~ ain(X1,apow(asing(asing(a1))))
| ~ aal4(asm(apow(a2),apow(asing(a1))))
| ain(X1,asm(apow(a2),apow(asing(a1))))
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_94,c_0_171]),
[final] ).
cnf(c_0_499,plain,
( ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| ain(X1,apow(a2))
| ain(X1,asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_347,c_0_173]),
[final] ).
cnf(c_0_500,plain,
( ~ aal4(a1)
| ain(asm(asm(apow(a2),a2),asing(a2)),a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_143,c_0_341]),
[final] ).
cnf(c_0_501,plain,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(asm(asm(apow(a2),apow(asing(a2))),asing(a2)))
| ain(X1,asm(asm(apow(a2),apow(asing(a2))),asing(a2)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_94,c_0_167]),
[final] ).
cnf(c_0_502,plain,
( ~ aal4(a3)
| ain(asing(a2),a3)
| ain(asing(a2),asing(a2))
| ain(asing(a2),asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_306,c_0_315]),
[final] ).
cnf(c_0_503,plain,
( ~ ain(X1,a4)
| ~ ain(X1,asing(a0))
| ~ aal4(a3)
| ain(X1,a3)
| ain(X1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_306,c_0_236]),
[final] ).
cnf(c_0_504,plain,
( ~ ain(a0,asing(asing(a1)))
| ~ aal4(a1)
| ain(a1,a1)
| aal3(apow(asing(asing(a1))))
| aal3(asm(apow(a2),apow(asing(a2)))) ),
inference(spm,[status(thm)],[c_0_143,c_0_180]),
[final] ).
cnf(c_0_505,plain,
( ~ asubq(X1,a2)
| ~ asubq(X2,a2)
| ain(aun(X1,X2),a2)
| ain(aun(X1,X2),asing(a2))
| aun(X1,X2) = asing(a1) ),
inference(spm,[status(thm)],[c_0_205,c_0_140]),
[final] ).
cnf(c_0_506,negated_conjecture,
( ~ ain(X1,asing(asing(a1)))
| ~ aal4(asm(apow(a2),asing(a2)))
| ain(X1,asm(apow(a2),asing(a2)))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_94,c_0_177]),
[final] ).
cnf(c_0_507,plain,
( ~ ain(X1,a4)
| ain(X1,a2)
| ain(X1,asing(a2))
| ain(X1,asing(a0))
| ain(X1,asing(a3))
| X1 = asing(a1) ),
inference(spm,[status(thm)],[c_0_205,c_0_176]),
[final] ).
cnf(c_0_508,plain,
( ~ ain(a1,a4)
| ~ aal4(a3)
| ain(a1,apow(a2))
| ain(a1,asing(a0))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_332]),c_0_152]),
[final] ).
cnf(c_0_509,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ aal4(asm(a3,asing(a1)))
| ain(X1,asm(a3,asing(a1)))
| aal3(a4)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_94,c_0_326]),
[final] ).
cnf(c_0_510,plain,
( ~ ain(aun(a4,asing(apow(a2))),apow(aun(a4,asing(apow(a2)))))
| ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_249,c_0_228]),
[final] ).
cnf(c_0_511,plain,
( ~ aal4(asing(a1))
| ain(a2,a3)
| ain(a2,asing(a1))
| ain(a2,asing(a3))
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(spm,[status(thm)],[c_0_324,c_0_338]),
[final] ).
cnf(c_0_512,plain,
( ~ aal4(a1)
| ain(a2,a1)
| ain(a2,a2)
| ain(a2,asing(a2))
| aal3(a1)
| aal3(asing(a3))
| asing(a1) = a2 ),
inference(spm,[status(thm)],[c_0_348,c_0_349]),
[final] ).
cnf(c_0_513,plain,
( ~ aal4(a3)
| ain(a3,a3)
| ain(a3,asing(a3))
| ain(a3,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(spm,[status(thm)],[c_0_306,c_0_325]),
[final] ).
cnf(c_0_514,plain,
( ~ ain(a0,asing(a2))
| ~ aal4(a3)
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_334]),c_0_350]),
[final] ).
cnf(c_0_515,plain,
( ~ ain(a1,asing(a0))
| ~ aal4(a3)
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_335]),c_0_351]),
[final] ).
cnf(c_0_516,plain,
( ~ ain(a1,asing(a3))
| ~ aal4(a3)
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_336]),c_0_352]),
[final] ).
cnf(c_0_517,plain,
( ~ aal4(a3)
| ain(a1,apow(a2))
| ain(a1,asing(asing(a2)))
| aal3(a3)
| aal3(asing(apow(a2))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_337]),c_0_152]),
[final] ).
cnf(c_0_518,plain,
( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a4)
| ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_217]),
[final] ).
cnf(c_0_519,plain,
( ~ ain(asing(a2),a4)
| ain(asing(a2),asing(a1))
| ain(asing(a2),asing(a0))
| ain(asing(a2),asing(a3)) ),
inference(spm,[status(thm)],[c_0_353,c_0_176]),
[final] ).
cnf(c_0_520,plain,
( ~ aal4(asing(a1))
| ain(a0,a3)
| aal3(asing(a1))
| aal3(asing(asing(a1))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_342]),c_0_233]),
[final] ).
cnf(c_0_521,plain,
( ~ ain(aun(X1,X2),a4)
| ~ asubq(X1,asing(a2))
| ~ asubq(X2,asing(a2))
| ain(aun(X1,X2),asing(a0)) ),
inference(spm,[status(thm)],[c_0_183,c_0_140]),
[final] ).
cnf(c_0_522,plain,
( ~ aal5(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(X1)))
| ~ ain(X1,apow(asing(a2))) ),
inference(split_conjunct,[status(thm)],[c_0_354]),
[final] ).
cnf(c_0_523,plain,
( ~ ain(X1,asing(apow(asing(a1))))
| ~ aal4(a3)
| ain(X1,a3)
| aal3(a3)
| aal3(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_94,c_0_224]),
[final] ).
cnf(c_0_524,plain,
( ~ ain(a0,X1)
| ~ ain(asing(a1),X1)
| ~ ain(X1,apow(apow(asing(a1))))
| X1 = apow(asing(a1)) ),
inference(spm,[status(thm)],[c_0_121,c_0_228]),
[final] ).
cnf(c_0_525,plain,
( ~ ain(a1,a4)
| ain(a1,asing(a1))
| ain(a1,asing(a0))
| ain(a1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_355,c_0_176]),
[final] ).
cnf(c_0_526,plain,
( ~ ain(X1,asing(apow(a2)))
| ~ ain(X1,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(X1,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ),
inference(split_conjunct,[status(thm)],[c_0_356]),
[final] ).
cnf(c_0_527,plain,
( ~ ain(asing(a1),a4)
| ~ aal4(a1)
| ain(asing(a1),a1)
| aal3(a1)
| aal3(asing(a3)) ),
inference(spm,[status(thm)],[c_0_348,c_0_357]),
[final] ).
cnf(c_0_528,plain,
( ~ ain(a2,apow(asing(a1)))
| ain(a2,asing(a3)) ),
inference(spm,[status(thm)],[c_0_117,c_0_179]),
[final] ).
cnf(c_0_529,plain,
( ~ ain(a2,asing(asing(asing(a1))))
| ain(a2,asing(a3)) ),
inference(spm,[status(thm)],[c_0_151,c_0_232]),
[final] ).
cnf(c_0_530,plain,
( ~ ain(X1,asing(a2))
| ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(spm,[status(thm)],[c_0_100,c_0_89]),
[final] ).
cnf(c_0_531,plain,
( ~ ain(a0,a1)
| ~ ain(asing(a1),a1)
| ~ ain(a0,apow(asing(a2)))
| apow(asing(a1)) = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_158]),c_0_108])]),
[final] ).
cnf(c_0_532,plain,
( ~ ain(X1,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
| ~ ain(X1,a4)
| ain(X1,aun(apow(asing(a2)),asing(a3)))
| ain(X1,asing(a1)) ),
inference(split_conjunct,[status(thm)],[c_0_359]),
[final] ).
cnf(c_0_533,plain,
( ~ ain(a1,apow(asing(a2)))
| ain(a1,aun(apow(asing(a2)),asing(apow(a2)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_155]),
[final] ).
cnf(c_0_534,plain,
( ~ ain(X1,a4)
| ain(X1,asing(a2))
| ain(X1,asing(a1))
| X1 = a3
| X1 = a0 ),
inference(spm,[status(thm)],[c_0_207,c_0_360]),
[final] ).
cnf(c_0_535,plain,
( ~ aal4(a1)
| ain(a0,a1)
| aal3(a1)
| aal3(asing(a3)) ),
inference(spm,[status(thm)],[c_0_348,c_0_361]),
[final] ).
cnf(c_0_536,plain,
( ~ ain(a0,a1)
| ~ ain(a0,asing(a0))
| ~ ain(asing(a1),a1)
| apow(asing(a1)) = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_196]),c_0_108])]),
[final] ).
cnf(c_0_537,plain,
( ~ ain(a0,a1)
| ~ ain(a0,asing(a3))
| ~ ain(asing(a1),a1)
| apow(asing(a1)) = a1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_197]),c_0_108])]),
[final] ).
cnf(c_0_538,plain,
( ~ ain(asm(apow(a2),apow(asing(a1))),apow(a3))
| ~ asubq(apow(asing(asing(a1))),a3) ),
inference(spm,[status(thm)],[c_0_362,c_0_228]),
[final] ).
cnf(c_0_539,plain,
( ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X1)))
| ~ ain(X1,asm(apow(a2),asing(a2))) ),
inference(split_conjunct,[status(thm)],[c_0_363]),
[final] ).
cnf(c_0_540,plain,
( ~ ain(aun(X2,X1),asing(asing(asing(a1))))
| ~ asubq(X2,a2)
| ~ asubq(X1,a2) ),
inference(spm,[status(thm)],[c_0_151,c_0_140]),
[final] ).
cnf(c_0_541,plain,
( ~ ain(a0,a2)
| ~ ain(a1,asing(asing(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_151,c_0_180]),
[final] ).
cnf(c_0_542,plain,
( ~ ain(a1,a3)
| ain(a0,a2)
| asing(a1) = a0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_364]),c_0_365]),
[final] ).
cnf(c_0_543,plain,
( ~ ain(a1,a3)
| ain(a0,a2)
| a0 = a3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_366]),c_0_365]),
[final] ).
cnf(c_0_544,plain,
( ~ ain(a0,a2)
| ~ ain(a1,asing(a0)) ),
inference(spm,[status(thm)],[c_0_252,c_0_180]),
[final] ).
cnf(c_0_545,plain,
( ~ ain(a0,a2)
| ain(a1,a4) ),
inference(spm,[status(thm)],[c_0_266,c_0_180]),
[final] ).
cnf(c_0_546,plain,
( ~ ain(X1,a4)
| ~ ain(X1,a2)
| ain(X1,asing(a1))
| X1 = a0 ),
inference(spm,[status(thm)],[c_0_100,c_0_360]),
[final] ).
cnf(c_0_547,plain,
( ~ ain(X1,a3)
| ain(X1,a2)
| ain(X1,asing(a2))
| X1 = asing(a1) ),
inference(spm,[status(thm)],[c_0_205,c_0_152]),
[final] ).
cnf(c_0_548,plain,
( ~ ain(a0,a2)
| ain(a1,a2)
| ain(a1,asing(a2))
| asing(a1) = a1 ),
inference(spm,[status(thm)],[c_0_205,c_0_180]),
[final] ).
cnf(c_0_549,plain,
( ~ ain(asing(a2),a3)
| ain(asing(a2),asing(a1)) ),
inference(spm,[status(thm)],[c_0_353,c_0_152]),
[final] ).
cnf(c_0_550,plain,
( ain(asing(a2),a4)
| ain(asing(a2),asing(asing(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_367]),
[final] ).
cnf(c_0_551,plain,
( ~ ain(a0,a2)
| ~ ain(a1,asing(a3)) ),
inference(spm,[status(thm)],[c_0_253,c_0_180]),
[final] ).
cnf(c_0_552,plain,
( ~ ain(asing(a1),a4)
| ain(asing(a1),a2)
| asing(a1) = a3 ),
inference(spm,[status(thm)],[c_0_142,c_0_267]),
[final] ).
cnf(c_0_553,plain,
( ~ adisjoint(asing(apow(asing(a1))),a4)
| ~ aal2(asing(apow(asing(a1))))
| ~ aal4(a4) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]),
[final] ).
cnf(c_0_554,plain,
( ~ adisjoint(asing(apow(asing(a1))),a4)
| ~ aal2(a4)
| ~ aal4(asing(apow(asing(a1)))) ),
inference(spm,[status(thm)],[c_0_368,c_0_370]),
[final] ).
cnf(c_0_555,plain,
( ~ ain(a0,a2)
| ain(a1,asing(a1)) ),
inference(spm,[status(thm)],[c_0_355,c_0_180]),
[final] ).
cnf(c_0_556,plain,
( ~ ain(a1,a3)
| ain(a1,asing(a1)) ),
inference(spm,[status(thm)],[c_0_355,c_0_152]),
[final] ).
cnf(c_0_557,plain,
( ain(a1,a4)
| ain(a1,asing(asing(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_371]),
[final] ).
cnf(c_0_558,plain,
( ~ ain(asing(a1),apow(a2))
| ain(asing(a1),apow(asing(a1))) ),
inference(spm,[status(thm)],[c_0_161,c_0_88]),
[final] ).
cnf(c_0_559,plain,
( ain(a3,a4)
| ain(a3,asing(asing(a2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_372]),
[final] ).
cnf(c_0_560,plain,
( ~ ain(a3,a3)
| ain(a3,asing(a1)) ),
inference(spm,[status(thm)],[c_0_373,c_0_152]),
[final] ).
cnf(c_0_561,plain,
~ ain(asing(a1),asing(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_374,c_0_201]),
[final] ).
cnf(c_0_562,plain,
~ aal5(asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a1))),
inference(er,[status(thm)],[c_0_375]),
[final] ).
cnf(c_0_563,plain,
~ ain(asing(asing(a1)),asing(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_100,c_0_128]),
[final] ).
cnf(c_0_564,plain,
~ ain(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),apow(aun(a4,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_194,c_0_228]),
[final] ).
cnf(c_0_565,plain,
~ ain(asing(a1),a3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_376]),c_0_187]),
[final] ).
cnf(c_0_566,plain,
~ ain(a0,asing(asing(asing(a1)))),
inference(spm,[status(thm)],[c_0_151,c_0_108]),
[final] ).
cnf(c_0_567,plain,
~ ain(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),apow(a3)),
inference(spm,[status(thm)],[c_0_262,c_0_228]),
[final] ).
cnf(c_0_568,plain,
~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
inference(split_conjunct,[status(thm)],[c_0_377]),
[final] ).
cnf(c_0_569,plain,
~ aal5(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
inference(split_conjunct,[status(thm)],[c_0_378]),
[final] ).
cnf(c_0_570,plain,
~ ain(a2,apow(asing(a2))),
inference(spm,[status(thm)],[c_0_132,c_0_179]),
[final] ).
cnf(c_0_571,plain,
~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))),
inference(split_conjunct,[status(thm)],[c_0_379]),
[final] ).
cnf(c_0_572,plain,
~ ain(a0,aun(asing(asing(a1)),asing(a3))),
inference(split_conjunct,[status(thm)],[c_0_380]),
[final] ).
cnf(c_0_573,plain,
~ ain(a2,asing(a0)),
inference(spm,[status(thm)],[c_0_100,c_0_179]),
[final] ).
cnf(c_0_574,plain,
~ aal4(asm(apow(a2),apow(asing(a2)))),
inference(split_conjunct,[status(thm)],[c_0_381]),
[final] ).
cnf(c_0_575,plain,
~ ain(a2,apow(a1)),
inference(spm,[status(thm)],[c_0_382,c_0_228]),
[final] ).
cnf(c_0_576,plain,
~ ain(asm(apow(a2),a2),a4),
inference(split_conjunct,[status(thm)],[c_0_383]),
[final] ).
cnf(c_0_577,plain,
asm(apow(a2),a2) != apow(a2),
inference(split_conjunct,[status(thm)],[c_0_384]),
[final] ).
cnf(c_0_578,plain,
~ aal3(aun(a1,asing(a3))),
inference(split_conjunct,[status(thm)],[c_0_385]),
[final] ).
cnf(c_0_579,plain,
apow(asing(a1)) != a3,
inference(split_conjunct,[status(thm)],[c_0_386]),
[final] ).
cnf(c_0_580,plain,
~ aal5(apow(a2)),
inference(split_conjunct,[status(thm)],[c_0_387]),
[final] ).
cnf(c_0_581,plain,
ain(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),apow(aun(a3,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_119,c_0_296]),
[final] ).
cnf(c_0_582,plain,
ain(asm(apow(a2),apow(asing(a1))),apow(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))),
inference(spm,[status(thm)],[c_0_119,c_0_171]),
[final] ).
cnf(c_0_583,plain,
ain(asm(a3,asing(a1)),apow(aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2)))))),
inference(spm,[status(thm)],[c_0_119,c_0_388]),
[final] ).
cnf(c_0_584,plain,
aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a2)),aun(a4,asing(apow(a2)))))),
inference(split_conjunct,[status(thm)],[ax75]),
[final] ).
cnf(c_0_585,plain,
aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))) = asm(a3,asing(a1)),
inference(split_conjunct,[status(thm)],[ax64]),
[final] ).
cnf(c_0_586,plain,
aex3(asm(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
inference(split_conjunct,[status(thm)],[ax79]),
[final] ).
cnf(c_0_587,plain,
ain(asm(apow(a2),apow(asing(a1))),apow(asm(a3,asing(a0)))),
inference(spm,[status(thm)],[c_0_119,c_0_389]),
[final] ).
cnf(c_0_588,plain,
ain(asm(a3,asing(a1)),apow(aun(a4,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_119,c_0_326]),
[final] ).
cnf(c_0_589,plain,
ain(asing(asing(a1)),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_119,c_0_327]),
[final] ).
cnf(c_0_590,plain,
aex3(aun(asing(asing(asing(a1))),aun(a1,asing(apow(a2))))),
inference(split_conjunct,[status(thm)],[ax74]),
[final] ).
cnf(c_0_591,plain,
ain(asing(a1),apow(aun(asing(a1),asing(asing(a1))))),
inference(spm,[status(thm)],[c_0_119,c_0_188]),
[final] ).
cnf(c_0_592,plain,
ain(a3,apow(aun(a3,asing(apow(asing(a1)))))),
inference(spm,[status(thm)],[c_0_119,c_0_224]),
[final] ).
cnf(c_0_593,plain,
ain(asm(apow(a2),apow(asing(a1))),apow(a4)),
inference(spm,[status(thm)],[c_0_119,c_0_390]),
[final] ).
cnf(c_0_594,plain,
aex4(asm(aun(a4,asing(apow(a2))),asing(a3))),
inference(split_conjunct,[status(thm)],[ax78]),
[final] ).
cnf(c_0_595,plain,
ain(a3,apow(aun(a3,asing(apow(a2))))),
inference(spm,[status(thm)],[c_0_119,c_0_222]),
[final] ).
cnf(c_0_596,plain,
aex5(aun(a4,asing(asm(apow(a2),a2)))),
inference(split_conjunct,[status(thm)],[ax77]),
[final] ).
cnf(c_0_597,plain,
aal4(aun(a3,asing(asm(apow(a2),a2)))),
inference(split_conjunct,[status(thm)],[ax72]),
[final] ).
cnf(c_0_598,plain,
ain(a2,a4),
inference(spm,[status(thm)],[c_0_90,c_0_179]),
[final] ).
cnf(c_0_599,plain,
aex5(aun(asing(apow(asing(a1))),a4)),
inference(split_conjunct,[status(thm)],[ax76]),
[final] ).
cnf(c_0_600,plain,
ain(a2,aun(asing(asing(a2)),a4)),
inference(split_conjunct,[status(thm)],[ax39]),
[final] ).
cnf(c_0_601,plain,
aex3(aun(a2,asing(apow(a2)))),
inference(split_conjunct,[status(thm)],[ax73]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO844+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n009.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 12:24:42 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.49/0.62 % Version: 3.5.1
% 1.49/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.62 % Starting new_bool_3 with 300s (1) cores
% 1.49/0.62 % Starting new_bool_1 with 300s (1) cores
% 1.49/0.62 % Starting sh5l with 300s (1) cores
% 1.49/0.62 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1723184 completed with status 1
% 1.49/0.62 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.49/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.49/0.62 % No SInE strategy applied
% 1.49/0.62 % Search class: FGHSF-FFMM21-DFFFFFNN
% 1.49/0.62 % partial match(1): FGHSF-FFMM21-SFFFFFNN
% 1.49/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.49/0.62 % Starting SubtermCWHack with 136s (1) cores
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.49/0.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 1.49/0.62 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 1.49/0.62 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 1.49/0.62 % SubtermCWHack with pid 1723190 completed with status 1
% 1.49/0.62 % Result found by SubtermCWHack
% 1.49/0.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.49/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.49/0.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.49/0.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.49/0.62 % No SInE strategy applied
% 1.49/0.62 % Search class: FGHSF-FFMM21-DFFFFFNN
% 1.49/0.62 % partial match(1): FGHSF-FFMM21-SFFFFFNN
% 1.49/0.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.49/0.62 % Starting SubtermCWHack with 136s (1) cores
% 1.49/0.62 % Preprocessing time : 0.003 s
% 1.49/0.62
% 1.49/0.62 % No proof found!
% 1.49/0.62 % SZS status CounterSatisfiable
% 1.49/0.62 % SZS output start Saturation
% See solution above
% 1.49/0.63 % Parsed axioms : 84
% 1.49/0.63 % Removed by relevancy pruning/SinE : 0
% 1.49/0.63 % Initial clauses : 87
% 1.49/0.63 % Removed in clause preprocessing : 0
% 1.49/0.63 % Initial clauses in saturation : 87
% 1.49/0.63 % Processed clauses : 593
% 1.49/0.63 % ...of these trivial : 0
% 1.49/0.63 % ...subsumed : 143
% 1.49/0.63 % ...remaining for further processing : 450
% 1.49/0.63 % Other redundant clauses eliminated : 1
% 1.49/0.63 % Clauses deleted for lack of memory : 0
% 1.49/0.63 % Backward-subsumed : 4
% 1.49/0.63 % Backward-rewritten : 1
% 1.49/0.63 % Generated clauses : 582
% 1.49/0.63 % ...of the previous two non-redundant : 510
% 1.49/0.63 % ...aggressively subsumed : 0
% 1.49/0.63 % Contextual simplify-reflections : 14
% 1.49/0.63 % Paramodulations : 581
% 1.49/0.63 % Factorizations : 0
% 1.49/0.63 % NegExts : 0
% 1.49/0.63 % Equation resolutions : 1
% 1.49/0.63 % Disequality decompositions : 0
% 1.49/0.63 % Total rewrite steps : 47
% 1.49/0.63 % ...of those cached : 41
% 1.49/0.63 % Propositional unsat checks : 0
% 1.49/0.63 % Propositional check models : 0
% 1.49/0.63 % Propositional check unsatisfiable : 0
% 1.49/0.63 % Propositional clauses : 0
% 1.49/0.63 % Propositional clauses after purity: 0
% 1.49/0.63 % Propositional unsat core size : 0
% 1.49/0.63 % Propositional preprocessing time : 0.000
% 1.49/0.63 % Propositional encoding time : 0.000
% 1.49/0.63 % Propositional solver time : 0.000
% 1.49/0.63 % Success case prop preproc time : 0.000
% 1.49/0.63 % Success case prop encoding time : 0.000
% 1.49/0.63 % Success case prop solver time : 0.000
% 1.49/0.63 % Current number of processed clauses : 444
% 1.49/0.63 % Positive orientable unit clauses : 61
% 1.49/0.63 % Positive unorientable unit clauses: 0
% 1.49/0.63 % Negative unit clauses : 33
% 1.49/0.63 % Non-unit-clauses : 350
% 1.49/0.63 % Current number of unprocessed clauses: 0
% 1.49/0.63 % ...number of literals in the above : 0
% 1.49/0.63 % Current number of archived formulas : 0
% 1.49/0.63 % Current number of archived clauses : 5
% 1.49/0.63 % Clause-clause subsumption calls (NU) : 56113
% 1.49/0.63 % Rec. Clause-clause subsumption calls : 3400
% 1.49/0.63 % Non-unit clause-clause subsumptions : 150
% 1.49/0.63 % Unit Clause-clause subsumption calls : 63
% 1.49/0.63 % Rewrite failures with RHS unbound : 0
% 1.49/0.63 % BW rewrite match attempts : 5
% 1.49/0.63 % BW rewrite match successes : 1
% 1.49/0.63 % Condensation attempts : 0
% 1.49/0.63 % Condensation successes : 0
% 1.49/0.63 % Termbank termtop insertions : 25163
% 1.49/0.63 % Search garbage collected termcells : 392
% 1.49/0.63
% 1.49/0.63 % -------------------------------------------------
% 1.49/0.63 % User time : 0.158 s
% 1.49/0.63 % System time : 0.009 s
% 1.49/0.63 % Total time : 0.167 s
% 1.49/0.63 % Maximum resident set size: 3704 pages
% 1.49/0.63
% 1.49/0.63 % -------------------------------------------------
% 1.49/0.63 % User time : 0.713 s
% 1.49/0.63 % System time : 0.052 s
% 1.49/0.63 % Total time : 0.765 s
% 1.49/0.63 % Maximum resident set size: 4864 pages
% 1.49/0.63 % E exiting
%------------------------------------------------------------------------------