%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX047+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 1 02:12:56 AM UTC 2025
% Result : Theorem 243.54s 32.30s
% Output : CNFRefutation 243.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 28
% Syntax : Number of clauses : 116 ( 46 unt; 16 nHn; 111 RR)
% Number of literals : 228 ( 68 equ; 105 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 110 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_141,plain,
( '@*'(X1,X2) = '@*'(X2,X1)
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_141) ).
cnf(i_0_205,negated_conjecture,
nat_succeeds(esk42_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_205) ).
cnf(i_0_147,plain,
( nat_succeeds(X1)
| ~ '@<_succeeds'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_147) ).
cnf(i_0_203,negated_conjecture,
'@<_succeeds'(esk43_0,esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_203) ).
cnf(i_0_136,plain,
( nat_succeeds('@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_136) ).
cnf(i_0_202,negated_conjecture,
nat_succeeds(esk44_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_202) ).
cnf(i_0_156,plain,
( X1 = X2
| '@<_succeeds'(X2,X1)
| '@<_succeeds'(X1,X2)
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_156) ).
cnf(i_0_92,plain,
( nat_succeeds(X1)
| X1 != s(X2)
| ~ nat_succeeds(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_92) ).
cnf(i_0_201,negated_conjecture,
~ '@<_succeeds'('@*'(esk42_0,esk43_0),'@*'(esk42_0,esk44_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_201) ).
cnf(i_0_165,plain,
( '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_165) ).
cnf(i_0_126,plain,
( X1 = X2
| '@+'(X3,X1) != '@+'(X3,X2)
| ~ nat_succeeds(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_126) ).
cnf(i_0_123,plain,
( '@+'(X1,'0') = X1
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_123) ).
cnf(i_0_125,plain,
( '@+'(X1,X2) = '@+'(X2,X1)
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_125) ).
cnf(i_0_193,plain,
( '@=<_succeeds'('@*'(X1,X2),'@*'(X3,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X3)
| ~ '@=<_succeeds'(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_193) ).
cnf(i_0_184,plain,
( '@=<_succeeds'(X1,'@+'(X2,X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_184) ).
cnf(i_0_168,plain,
( '@=<_succeeds'(X1,X2)
| '@<_succeeds'(X2,X1)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_168) ).
cnf(i_0_135,plain,
( '@+'(X1,'@*'(X2,X1)) = '@*'(s(X2),X1)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_135) ).
cnf(i_0_174,plain,
( X1 = X2
| ~ '@=<_succeeds'(X2,X1)
| ~ '@=<_succeeds'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_174) ).
cnf(i_0_204,negated_conjecture,
esk42_0 != '0',
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_204) ).
cnf(i_0_91,plain,
( nat_succeeds(X1)
| X1 != '0' ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_91) ).
cnf(i_0_177,plain,
( '@<_succeeds'('@+'(X1,X2),'@+'(X1,X3))
| ~ nat_succeeds(X1)
| ~ '@<_succeeds'(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_177) ).
cnf(i_0_120,plain,
( s('@+'(X1,X2)) = '@+'(s(X1),X2)
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_120) ).
cnf(i_0_119,plain,
'@+'('0',X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_119) ).
cnf(i_0_155,plain,
( X1 = X2
| '@<_succeeds'(X2,X1)
| ~ nat_succeeds(X1)
| ~ '@<_succeeds'(X2,s(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_155) ).
cnf(i_0_171,plain,
( '@<_succeeds'(X1,X2)
| ~ '@=<_succeeds'(X1,X3)
| ~ '@<_succeeds'(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_171) ).
cnf(i_0_153,plain,
( ~ nat_succeeds(X1)
| ~ '@<_succeeds'(X1,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_153) ).
cnf(i_0_175,plain,
( '@=<_succeeds'(X1,s(X1))
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_175) ).
cnf(i_0_1,plain,
s(X1) != '0',
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_etf_gm/input.p',i_0_1) ).
cnf(c_0_234,plain,
( '@*'(X1,X2) = '@*'(X2,X1)
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
i_0_141 ).
cnf(c_0_235,negated_conjecture,
nat_succeeds(esk42_0),
i_0_205 ).
cnf(c_0_236,plain,
( nat_succeeds(X1)
| ~ '@<_succeeds'(X1,X2) ),
i_0_147 ).
cnf(c_0_237,negated_conjecture,
'@<_succeeds'(esk43_0,esk44_0),
i_0_203 ).
cnf(c_0_238,plain,
( nat_succeeds('@*'(X1,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
i_0_136 ).
cnf(c_0_239,negated_conjecture,
( '@*'(X1,esk42_0) = '@*'(esk42_0,X1)
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_240,negated_conjecture,
nat_succeeds(esk43_0),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_241,negated_conjecture,
( nat_succeeds('@*'(X1,esk42_0))
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_238,c_0_235]) ).
cnf(c_0_242,negated_conjecture,
'@*'(esk43_0,esk42_0) = '@*'(esk42_0,esk43_0),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_243,negated_conjecture,
nat_succeeds(esk44_0),
i_0_202 ).
cnf(c_0_244,plain,
( X1 = X2
| '@<_succeeds'(X2,X1)
| '@<_succeeds'(X1,X2)
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
i_0_156 ).
cnf(c_0_245,negated_conjecture,
nat_succeeds('@*'(esk42_0,esk43_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_240]),c_0_242]) ).
cnf(c_0_246,negated_conjecture,
( nat_succeeds('@*'(X1,esk44_0))
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_238,c_0_243]) ).
cnf(c_0_247,plain,
( nat_succeeds(X1)
| X1 != s(X2)
| ~ nat_succeeds(X2) ),
i_0_92 ).
cnf(c_0_248,plain,
( X1 = '@*'(esk42_0,esk43_0)
| '@<_succeeds'('@*'(esk42_0,esk43_0),X1)
| '@<_succeeds'(X1,'@*'(esk42_0,esk43_0))
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
cnf(c_0_249,negated_conjecture,
nat_succeeds('@*'(esk42_0,esk44_0)),
inference(spm,[status(thm)],[c_0_246,c_0_235]) ).
cnf(c_0_250,negated_conjecture,
~ '@<_succeeds'('@*'(esk42_0,esk43_0),'@*'(esk42_0,esk44_0)),
i_0_201 ).
cnf(c_0_251,plain,
( '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X1,X2) ),
i_0_165 ).
cnf(c_0_252,plain,
( X1 = X2
| '@+'(X3,X1) != '@+'(X3,X2)
| ~ nat_succeeds(X3) ),
i_0_126 ).
cnf(c_0_253,plain,
( '@+'(X1,'0') = X1
| ~ nat_succeeds(X1) ),
i_0_123 ).
cnf(c_0_254,plain,
( '@+'(X1,X2) = '@+'(X2,X1)
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X1) ),
i_0_125 ).
cnf(c_0_255,plain,
( nat_succeeds(s(X1))
| ~ nat_succeeds(X1) ),
inference(er,[status(thm)],[c_0_247]) ).
cnf(c_0_256,negated_conjecture,
( '@*'(esk42_0,esk43_0) = '@*'(esk42_0,esk44_0)
| '@<_succeeds'('@*'(esk42_0,esk44_0),'@*'(esk42_0,esk43_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).
cnf(c_0_257,plain,
( '@=<_succeeds'('@*'(X1,X2),'@*'(X3,X2))
| ~ nat_succeeds(X2)
| ~ nat_succeeds(X3)
| ~ '@=<_succeeds'(X1,X3) ),
i_0_193 ).
cnf(c_0_258,negated_conjecture,
'@=<_succeeds'(esk43_0,esk44_0),
inference(spm,[status(thm)],[c_0_251,c_0_237]) ).
cnf(c_0_259,plain,
( '@=<_succeeds'(X1,'@+'(X2,X1))
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
i_0_184 ).
cnf(c_0_260,plain,
( X1 = X2
| '@+'('@*'(esk42_0,esk44_0),X1) != '@+'('@*'(esk42_0,esk44_0),X2) ),
inference(spm,[status(thm)],[c_0_252,c_0_249]) ).
cnf(c_0_261,plain,
'@+'('@*'(esk42_0,esk44_0),'0') = '@*'(esk42_0,esk44_0),
inference(spm,[status(thm)],[c_0_253,c_0_249]) ).
cnf(c_0_262,negated_conjecture,
( '@+'(X1,esk42_0) = '@+'(esk42_0,X1)
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_235]) ).
cnf(c_0_263,plain,
( '@=<_succeeds'(X1,X2)
| '@<_succeeds'(X2,X1)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
i_0_168 ).
cnf(c_0_264,plain,
( '@+'(X1,'@*'(X2,X1)) = '@*'(s(X2),X1)
| ~ nat_succeeds(X1)
| ~ nat_succeeds(X2) ),
i_0_135 ).
cnf(c_0_265,negated_conjecture,
nat_succeeds(s(esk43_0)),
inference(spm,[status(thm)],[c_0_255,c_0_240]) ).
cnf(c_0_266,plain,
( X1 = X2
| ~ '@=<_succeeds'(X2,X1)
| ~ '@=<_succeeds'(X1,X2) ),
i_0_174 ).
cnf(c_0_267,plain,
( '@*'(esk42_0,esk43_0) = '@*'(esk42_0,esk44_0)
| '@=<_succeeds'('@*'(esk42_0,esk44_0),'@*'(esk42_0,esk43_0)) ),
inference(spm,[status(thm)],[c_0_251,c_0_256]) ).
cnf(c_0_268,plain,
( '@=<_succeeds'('@*'(esk43_0,X1),'@*'(esk44_0,X1))
| ~ nat_succeeds(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_243])]) ).
cnf(c_0_269,negated_conjecture,
'@*'(esk44_0,esk42_0) = '@*'(esk42_0,esk44_0),
inference(spm,[status(thm)],[c_0_239,c_0_243]) ).
cnf(c_0_270,negated_conjecture,
nat_succeeds(s(esk44_0)),
inference(spm,[status(thm)],[c_0_255,c_0_243]) ).
cnf(c_0_271,negated_conjecture,
( '@=<_succeeds'(X1,'@+'(esk42_0,X1))
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_259,c_0_235]) ).
cnf(c_0_272,plain,
( X1 = '0'
| '@+'('@*'(esk42_0,esk44_0),X1) != '@*'(esk42_0,esk44_0) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
cnf(c_0_273,negated_conjecture,
'@+'('@*'(esk42_0,esk44_0),esk42_0) = '@+'(esk42_0,'@*'(esk42_0,esk44_0)),
inference(spm,[status(thm)],[c_0_262,c_0_249]) ).
cnf(c_0_274,negated_conjecture,
esk42_0 != '0',
i_0_204 ).
cnf(c_0_275,plain,
( nat_succeeds(X1)
| X1 != '0' ),
i_0_91 ).
cnf(c_0_276,negated_conjecture,
( '@=<_succeeds'(X1,esk44_0)
| '@<_succeeds'(esk44_0,X1)
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_263,c_0_243]) ).
cnf(c_0_277,plain,
( '@+'(X1,'@*'(esk43_0,X1)) = '@*'(s(esk43_0),X1)
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_240]) ).
cnf(c_0_278,negated_conjecture,
'@*'(s(esk43_0),esk42_0) = '@*'(esk42_0,s(esk43_0)),
inference(spm,[status(thm)],[c_0_239,c_0_265]) ).
cnf(c_0_279,plain,
( '@*'(esk42_0,esk43_0) = '@*'(esk42_0,esk44_0)
| ~ '@=<_succeeds'('@*'(esk42_0,esk43_0),'@*'(esk42_0,esk44_0)) ),
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_280,negated_conjecture,
'@=<_succeeds'('@*'(esk42_0,esk43_0),'@*'(esk42_0,esk44_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_235]),c_0_242]),c_0_269]) ).
cnf(c_0_281,negated_conjecture,
( '@+'(X1,'@*'(esk44_0,X1)) = '@*'(s(esk44_0),X1)
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_243]) ).
cnf(c_0_282,negated_conjecture,
'@*'(s(esk44_0),esk42_0) = '@*'(esk42_0,s(esk44_0)),
inference(spm,[status(thm)],[c_0_239,c_0_270]) ).
cnf(c_0_283,negated_conjecture,
'@=<_succeeds'('@*'(esk42_0,esk44_0),'@+'(esk42_0,'@*'(esk42_0,esk44_0))),
inference(spm,[status(thm)],[c_0_271,c_0_249]) ).
cnf(c_0_284,plain,
'@+'(esk42_0,'@*'(esk42_0,esk44_0)) != '@*'(esk42_0,esk44_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]) ).
cnf(c_0_285,plain,
( '@<_succeeds'('@+'(X1,X2),'@+'(X1,X3))
| ~ nat_succeeds(X1)
| ~ '@<_succeeds'(X2,X3) ),
i_0_177 ).
cnf(c_0_286,plain,
nat_succeeds('0'),
inference(er,[status(thm)],[c_0_275]) ).
cnf(c_0_287,plain,
( s('@+'(X1,X2)) = '@+'(s(X1),X2)
| ~ nat_succeeds(X1) ),
i_0_120 ).
cnf(c_0_288,plain,
'@+'('0',X1) = X1,
i_0_119 ).
cnf(c_0_289,negated_conjecture,
( '@=<_succeeds'(s(esk43_0),esk44_0)
| '@<_succeeds'(esk44_0,s(esk43_0)) ),
inference(spm,[status(thm)],[c_0_276,c_0_265]) ).
cnf(c_0_290,negated_conjecture,
'@+'(esk42_0,'@*'(esk42_0,esk43_0)) = '@*'(esk42_0,s(esk43_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_235]),c_0_242]),c_0_278]) ).
cnf(c_0_291,plain,
'@*'(esk42_0,esk43_0) = '@*'(esk42_0,esk44_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_280])]) ).
cnf(c_0_292,negated_conjecture,
'@+'(esk42_0,'@*'(esk42_0,esk44_0)) = '@*'(esk42_0,s(esk44_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_235]),c_0_269]),c_0_282]) ).
cnf(c_0_293,plain,
~ '@=<_succeeds'('@+'(esk42_0,'@*'(esk42_0,esk44_0)),'@*'(esk42_0,esk44_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_283]),c_0_284]) ).
cnf(c_0_294,negated_conjecture,
( '@<_succeeds'('@+'(X1,esk43_0),'@+'(X1,esk44_0))
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_285,c_0_237]) ).
cnf(c_0_295,plain,
nat_succeeds(s('0')),
inference(spm,[status(thm)],[c_0_255,c_0_286]) ).
cnf(c_0_296,plain,
'@+'(s('0'),X1) = s(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_286]),c_0_288]) ).
cnf(c_0_297,plain,
( '@=<_succeeds'('@*'(s(esk43_0),X1),'@*'(esk44_0,X1))
| '@<_succeeds'(esk44_0,s(esk43_0))
| ~ nat_succeeds(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_289]),c_0_243])]) ).
cnf(c_0_298,negated_conjecture,
'@*'(esk42_0,s(esk43_0)) = '@*'(esk42_0,s(esk44_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_299,plain,
~ '@=<_succeeds'('@*'(esk42_0,s(esk44_0)),'@*'(esk42_0,esk44_0)),
inference(rw,[status(thm)],[c_0_293,c_0_292]) ).
cnf(c_0_300,plain,
( X1 = X2
| '@<_succeeds'(X2,X1)
| ~ nat_succeeds(X1)
| ~ '@<_succeeds'(X2,s(X1)) ),
i_0_155 ).
cnf(c_0_301,plain,
'@<_succeeds'(s(esk43_0),s(esk44_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_296]),c_0_296]) ).
cnf(c_0_302,plain,
( '@<_succeeds'(X1,X2)
| ~ '@=<_succeeds'(X1,X3)
| ~ '@<_succeeds'(X3,X2) ),
i_0_171 ).
cnf(c_0_303,negated_conjecture,
'@<_succeeds'(esk44_0,s(esk43_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_235]),c_0_278]),c_0_298]),c_0_269]),c_0_299]) ).
cnf(c_0_304,plain,
( s(esk43_0) = esk44_0
| '@<_succeeds'(s(esk43_0),esk44_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_243])]) ).
cnf(c_0_305,plain,
( '@<_succeeds'(esk43_0,X1)
| ~ '@<_succeeds'(esk44_0,X1) ),
inference(spm,[status(thm)],[c_0_302,c_0_258]) ).
cnf(c_0_306,plain,
( esk43_0 = esk44_0
| '@<_succeeds'(esk44_0,esk43_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_303]),c_0_240])]) ).
cnf(c_0_307,negated_conjecture,
( X1 = X2
| '@+'(esk44_0,X1) != '@+'(esk44_0,X2) ),
inference(spm,[status(thm)],[c_0_252,c_0_243]) ).
cnf(c_0_308,negated_conjecture,
'@+'(esk44_0,'0') = esk44_0,
inference(spm,[status(thm)],[c_0_253,c_0_243]) ).
cnf(c_0_309,negated_conjecture,
( '@+'(X1,esk44_0) = '@+'(esk44_0,X1)
| ~ nat_succeeds(X1) ),
inference(spm,[status(thm)],[c_0_254,c_0_243]) ).
cnf(c_0_310,plain,
( s(esk43_0) = esk44_0
| '@=<_succeeds'(s(esk43_0),esk44_0) ),
inference(spm,[status(thm)],[c_0_251,c_0_304]) ).
cnf(c_0_311,plain,
( ~ nat_succeeds(X1)
| ~ '@<_succeeds'(X1,X1) ),
i_0_153 ).
cnf(c_0_312,plain,
( esk43_0 = esk44_0
| '@<_succeeds'(esk43_0,esk43_0) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
cnf(c_0_313,plain,
( '@=<_succeeds'(X1,s(X1))
| ~ nat_succeeds(X1) ),
i_0_175 ).
cnf(c_0_314,negated_conjecture,
( X1 = '0'
| '@+'(esk44_0,X1) != esk44_0 ),
inference(spm,[status(thm)],[c_0_307,c_0_308]) ).
cnf(c_0_315,negated_conjecture,
'@+'(esk44_0,s('0')) = s(esk44_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_295]),c_0_296]) ).
cnf(c_0_316,plain,
s(X1) != '0',
i_0_1 ).
cnf(c_0_317,plain,
( s(esk43_0) = esk44_0
| ~ '@=<_succeeds'(esk44_0,s(esk43_0)) ),
inference(spm,[status(thm)],[c_0_266,c_0_310]) ).
cnf(c_0_318,plain,
esk43_0 = esk44_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_240])]) ).
cnf(c_0_319,negated_conjecture,
'@=<_succeeds'(esk44_0,s(esk44_0)),
inference(spm,[status(thm)],[c_0_313,c_0_243]) ).
cnf(c_0_320,negated_conjecture,
s(esk44_0) != esk44_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_316]) ).
cnf(c_0_321,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_318]),c_0_318]),c_0_319])]),c_0_320]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWX047+1 : TPTP v9.1.0. Released v9.1.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.36 % Computer : n017.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Mar 31 14:55:26 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 243.54/32.30 # ENIGMATIC: Solved by blistrtune1572:
% 243.54/32.30 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,2,100,1.0)
% 243.54/32.30 # Preprocessing time : 0.016 s
% 243.54/32.30
% 243.54/32.30 # Proof found!
% 243.54/32.30 # SZS status Theorem
% 243.54/32.30 # SZS output start CNFRefutation
% See solution above
% 243.54/32.30 # Training examples: 0 positive, 0 negative
% 243.54/32.30
% 243.54/32.30 # -------------------------------------------------
% 243.54/32.30 # User time : 3.091 s
% 243.54/32.30 # System time : 0.082 s
% 243.54/32.30 # Total time : 3.173 s
% 243.54/32.30 # ...preprocessing : 0.016 s
% 243.54/32.30 # ...main loop : 3.157 s
% 243.54/32.30 # Maximum resident set size: 130692 pages
% 243.54/32.30
%------------------------------------------------------------------------------