%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ITP015+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 : 600s
% DateTime : Sat Jul 16 22:34:13 EDT 2022
% Result : Theorem 13.62s 3.16s
% Output : CNFRefutation 13.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of clauses : 75 ( 25 unt; 7 nHn; 75 RR)
% Number of literals : 227 ( 43 equ; 153 neg)
% Maximal clause size : 12 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 108 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_1) ).
cnf(i_0_78,plain,
mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_78) ).
cnf(i_0_20,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,X2),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X2))))),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,X2))) = ap(c_2Einteger__word_2Ei2w(X1),X2)
| ~ ne(X1)
| ~ mem(X2,ty_2Einteger_2Eint) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_20) ).
cnf(i_0_55,plain,
( ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X1)) = X1
| ~ mem(X1,ty_2Enum_2Enum) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_55) ).
cnf(i_0_54,plain,
ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_54) ).
cnf(i_0_83,plain,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_83) ).
cnf(i_0_37,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4) = ap(ap(ap(c_2Ebool_2ECOND(X1),X5),X6),X7)
| X3 != X6
| X4 != X7
| ~ ne(X1)
| ~ p(X5)
| ~ p(X2)
| ~ mem(X6,X1)
| ~ mem(X3,X1)
| ~ mem(X7,X1)
| ~ mem(X4,X1)
| ~ mem(X5,bool)
| ~ mem(X2,bool) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_37) ).
cnf(i_0_32,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_32) ).
cnf(i_0_74,plain,
mem(c_2Ebool_2ET,bool),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_74) ).
cnf(i_0_21,plain,
p(c_2Ebool_2ET),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_21) ).
cnf(i_0_61,plain,
( ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ ne(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_61) ).
cnf(i_0_86,plain,
( mem(c_2Ewords_2En2w(X1),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X1)))
| ~ ne(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_86) ).
cnf(i_0_56,negated_conjecture,
ap(c_2Einteger__word_2Ei2w(esk2_0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(esk2_0),c_2Enum_2E0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_56) ).
cnf(i_0_57,negated_conjecture,
ne(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_57) ).
cnf(i_0_33,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4) = ap(ap(ap(c_2Ebool_2ECOND(X1),X5),X6),X7)
| p(X5)
| p(X2)
| X3 != X6
| X4 != X7
| ~ ne(X1)
| ~ mem(X6,X1)
| ~ mem(X3,X1)
| ~ mem(X7,X1)
| ~ mem(X4,X1)
| ~ mem(X5,bool)
| ~ mem(X2,bool) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_33) ).
cnf(i_0_89,plain,
( ne(ty_2Efcp_2Ecart(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_89) ).
cnf(i_0_24,plain,
ne(bool),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_24) ).
cnf(i_0_31,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_31) ).
cnf(i_0_73,plain,
mem(c_2Ebool_2EF,bool),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_73) ).
cnf(i_0_11,plain,
~ p(c_2Ebool_2EF),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_11) ).
cnf(i_0_92,plain,
( ~ epred1_1(X1)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X1)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X2)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_92) ).
cnf(i_0_53,plain,
( epred1_1(X1)
| ~ mem(X1,ty_2Enum_2Enum) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_53) ).
cnf(i_0_22,plain,
( X1 = X2
| p(X2)
| p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_22) ).
cnf(i_0_76,plain,
mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jsoo6dsb/input.p',i_0_76) ).
cnf(c_0_117,plain,
( mem(ap(X1,X2),X3)
| ~ mem(X2,X4)
| ~ mem(X1,arr(X4,X3)) ),
i_0_1 ).
cnf(c_0_118,plain,
mem(c_2Einteger_2Eint__of__num,arr(ty_2Enum_2Enum,ty_2Einteger_2Eint)),
i_0_78 ).
cnf(c_0_119,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,X2),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,X2))))),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,X2))) = ap(c_2Einteger__word_2Ei2w(X1),X2)
| ~ ne(X1)
| ~ mem(X2,ty_2Einteger_2Eint) ),
i_0_20 ).
cnf(c_0_120,plain,
( ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,X1)) = X1
| ~ mem(X1,ty_2Enum_2Enum) ),
i_0_55 ).
cnf(c_0_121,plain,
( mem(ap(c_2Einteger_2Eint__of__num,X1),ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X2)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X2)))))),ap(c_2Ewords_2En2w(X1),X2)) = ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,X2))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_123,plain,
ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),
i_0_54 ).
cnf(c_0_124,plain,
mem(c_2Enum_2E0,ty_2Enum_2Enum),
i_0_83 ).
cnf(c_0_125,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4) = ap(ap(ap(c_2Ebool_2ECOND(X1),X5),X6),X7)
| X3 != X6
| X4 != X7
| ~ ne(X1)
| ~ p(X5)
| ~ p(X2)
| ~ mem(X6,X1)
| ~ mem(X3,X1)
| ~ mem(X7,X1)
| ~ mem(X4,X1)
| ~ mem(X5,bool)
| ~ mem(X2,bool) ),
i_0_37 ).
cnf(c_0_126,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),ap(c_2Einteger_2ENum,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))))),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).
cnf(c_0_127,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2ET),X2),X3) = X2
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
i_0_32 ).
cnf(c_0_128,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4) = ap(ap(ap(c_2Ebool_2ECOND(X1),X5),X3),X4)
| ~ mem(X5,bool)
| ~ mem(X2,bool)
| ~ mem(X4,X1)
| ~ mem(X3,X1)
| ~ p(X5)
| ~ p(X2)
| ~ ne(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_125])]) ).
cnf(c_0_129,plain,
mem(c_2Ebool_2ET,bool),
i_0_74 ).
cnf(c_0_130,plain,
p(c_2Ebool_2ET),
i_0_21 ).
cnf(c_0_131,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0))),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_120]),c_0_124])]) ).
cnf(c_0_132,plain,
( ap(c_2Ewords_2Eword__2comp(X1),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ ne(X1) ),
i_0_61 ).
cnf(c_0_133,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4) = X3
| ~ mem(X2,bool)
| ~ mem(X4,X1)
| ~ mem(X3,X1)
| ~ p(X2)
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130])]) ).
cnf(c_0_134,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_135,plain,
( mem(c_2Ewords_2En2w(X1),arr(ty_2Enum_2Enum,ty_2Efcp_2Ecart(bool,X1)))
| ~ ne(X1) ),
i_0_86 ).
cnf(c_0_136,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1))
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_137,plain,
( mem(ap(c_2Ewords_2En2w(X1),X2),ty_2Efcp_2Ecart(bool,X1))
| ~ mem(X2,ty_2Enum_2Enum)
| ~ ne(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_135]) ).
cnf(c_0_138,negated_conjecture,
ap(c_2Einteger__word_2Ei2w(esk2_0),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) != ap(c_2Ewords_2En2w(esk2_0),c_2Enum_2E0),
i_0_56 ).
cnf(c_0_139,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_124])]) ).
cnf(c_0_140,negated_conjecture,
ne(esk2_0),
i_0_57 ).
cnf(c_0_141,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4) = ap(ap(ap(c_2Ebool_2ECOND(X1),X5),X6),X7)
| p(X5)
| p(X2)
| X3 != X6
| X4 != X7
| ~ ne(X1)
| ~ mem(X6,X1)
| ~ mem(X3,X1)
| ~ mem(X7,X1)
| ~ mem(X4,X1)
| ~ mem(X5,bool)
| ~ mem(X2,bool) ),
i_0_33 ).
cnf(c_0_142,negated_conjecture,
( ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)))
| ~ ne(ty_2Efcp_2Ecart(bool,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).
cnf(c_0_143,plain,
( ne(ty_2Efcp_2Ecart(X1,X2))
| ~ ne(X2)
| ~ ne(X1) ),
i_0_89 ).
cnf(c_0_144,plain,
ne(bool),
i_0_24 ).
cnf(c_0_145,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),X2),X3),X4) = ap(ap(ap(c_2Ebool_2ECOND(X1),X5),X3),X4)
| p(X5)
| p(X2)
| ~ mem(X5,bool)
| ~ mem(X2,bool)
| ~ mem(X4,X1)
| ~ mem(X3,X1)
| ~ ne(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_141])]) ).
cnf(c_0_146,plain,
( ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_140]),c_0_144])]) ).
cnf(c_0_147,plain,
( ap(ap(ap(c_2Ebool_2ECOND(X1),c_2Ebool_2EF),X2),X3) = X3
| ~ ne(X1)
| ~ mem(X3,X1)
| ~ mem(X2,X1) ),
i_0_31 ).
cnf(c_0_148,plain,
( ap(ap(ap(c_2Ebool_2ECOND(ty_2Efcp_2Ecart(bool,X1)),X2),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)),ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)) = ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))
| p(X2)
| ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1))
| ~ mem(X2,bool)
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_134]),c_0_146]) ).
cnf(c_0_149,plain,
mem(c_2Ebool_2EF,bool),
i_0_73 ).
cnf(c_0_150,plain,
~ p(c_2Ebool_2EF),
i_0_11 ).
cnf(c_0_151,plain,
( ~ epred1_1(X1)
| ~ mem(X2,ty_2Enum_2Enum)
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X1)),ap(c_2Einteger_2Eint__neg,ap(c_2Einteger_2Eint__of__num,X2)))) ),
i_0_92 ).
cnf(c_0_152,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ mem(ap(c_2Ewords_2En2w(X1),c_2Enum_2E0),ty_2Efcp_2Ecart(bool,X1))
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]),c_0_150]) ).
cnf(c_0_153,plain,
( ~ epred1_1(X1)
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X1)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_123]),c_0_124])]) ).
cnf(c_0_154,plain,
( epred1_1(X1)
| ~ mem(X1,ty_2Enum_2Enum) ),
i_0_53 ).
cnf(c_0_155,plain,
( X1 = X2
| p(X2)
| p(X1)
| ~ mem(X2,bool)
| ~ mem(X1,bool) ),
i_0_22 ).
cnf(c_0_156,plain,
mem(c_2Einteger_2Eint__lt,arr(ty_2Einteger_2Eint,arr(ty_2Einteger_2Eint,bool))),
i_0_76 ).
cnf(c_0_157,plain,
( ap(c_2Einteger__word_2Ei2w(X1),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = ap(c_2Ewords_2En2w(X1),c_2Enum_2E0)
| ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ ne(ty_2Efcp_2Ecart(bool,X1))
| ~ ne(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_137]),c_0_124])]) ).
cnf(c_0_158,plain,
( ~ mem(X1,ty_2Enum_2Enum)
| ~ p(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X1)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0))) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,plain,
( X1 = c_2Ebool_2EF
| p(X1)
| ~ mem(X1,bool) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_149]),c_0_150]) ).
cnf(c_0_160,plain,
( mem(ap(c_2Einteger_2Eint__lt,X1),arr(ty_2Einteger_2Eint,bool))
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_117,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ ne(ty_2Efcp_2Ecart(bool,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_157]),c_0_140])]) ).
cnf(c_0_162,plain,
( ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X1)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = c_2Ebool_2EF
| ~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X1)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool)
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,plain,
( mem(ap(ap(c_2Einteger_2Eint__lt,X1),X2),bool)
| ~ mem(X2,ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Einteger_2Eint) ),
inference(spm,[status(thm)],[c_0_117,c_0_160]) ).
cnf(c_0_164,plain,
~ mem(ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)),bool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_143]),c_0_140]),c_0_144])]) ).
cnf(c_0_165,plain,
( ap(ap(c_2Einteger_2Eint__lt,ap(c_2Einteger_2Eint__of__num,X1)),ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0)) = c_2Ebool_2EF
| ~ mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint)
| ~ mem(X1,ty_2Enum_2Enum) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_121]) ).
cnf(c_0_166,plain,
~ mem(ap(c_2Einteger_2Eint__of__num,c_2Enum_2E0),ty_2Einteger_2Eint),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_149]),c_0_124])]) ).
cnf(c_0_167,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_121]),c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ITP015+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 3 14:18:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 13.62/3.16 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 13.62/3.16 # Version: 2.1pre011
% 13.62/3.16 # Preprocessing time : 0.017 s
% 13.62/3.16
% 13.62/3.16 # Proof found!
% 13.62/3.16 # SZS status Theorem
% 13.62/3.16 # SZS output start CNFRefutation
% See solution above
% 13.62/3.16 # Proof object total steps : 75
% 13.62/3.16 # Proof object clause steps : 51
% 13.62/3.16 # Proof object formula steps : 24
% 13.62/3.16 # Proof object conjectures : 6
% 13.62/3.16 # Proof object clause conjectures : 4
% 13.62/3.16 # Proof object formula conjectures : 2
% 13.62/3.16 # Proof object initial clauses used : 24
% 13.62/3.16 # Proof object initial formulas used : 24
% 13.62/3.16 # Proof object generating inferences : 25
% 13.62/3.16 # Proof object simplifying inferences : 39
% 13.62/3.16 # Training examples: 0 positive, 0 negative
% 13.62/3.16 # Parsed axioms : 77
% 13.62/3.16 # Removed by relevancy pruning/SinE : 0
% 13.62/3.16 # Initial clauses : 77
% 13.62/3.16 # Removed in clause preprocessing : 0
% 13.62/3.16 # Initial clauses in saturation : 77
% 13.62/3.16 # Processed clauses : 2408
% 13.62/3.16 # ...of these trivial : 5
% 13.62/3.16 # ...subsumed : 1157
% 13.62/3.16 # ...remaining for further processing : 1246
% 13.62/3.16 # Other redundant clauses eliminated : 29
% 13.62/3.16 # Clauses deleted for lack of memory : 0
% 13.62/3.16 # Backward-subsumed : 80
% 13.62/3.16 # Backward-rewritten : 48
% 13.62/3.16 # Generated clauses : 26156
% 13.62/3.16 # ...of the previous two non-trivial : 22738
% 13.62/3.16 # Contextual simplify-reflections : 1629
% 13.62/3.16 # Paramodulations : 26080
% 13.62/3.16 # Factorizations : 38
% 13.62/3.16 # Equation resolutions : 40
% 13.62/3.16 # Propositional unsat checks : 0
% 13.62/3.16 # Propositional unsat check successes : 0
% 13.62/3.16 # Current number of processed clauses : 1113
% 13.62/3.16 # Positive orientable unit clauses : 36
% 13.62/3.16 # Positive unorientable unit clauses: 0
% 13.62/3.16 # Negative unit clauses : 5
% 13.62/3.16 # Non-unit-clauses : 1072
% 13.62/3.16 # Current number of unprocessed clauses: 19055
% 13.62/3.16 # ...number of literals in the above : 148715
% 13.62/3.16 # Current number of archived formulas : 0
% 13.62/3.16 # Current number of archived clauses : 128
% 13.62/3.16 # Clause-clause subsumption calls (NU) : 426353
% 13.62/3.16 # Rec. Clause-clause subsumption calls : 56416
% 13.62/3.16 # Non-unit clause-clause subsumptions : 2662
% 13.62/3.16 # Unit Clause-clause subsumption calls : 2339
% 13.62/3.16 # Rewrite failures with RHS unbound : 0
% 13.62/3.16 # BW rewrite match attempts : 8
% 13.62/3.16 # BW rewrite match successes : 8
% 13.62/3.16 # Condensation attempts : 0
% 13.62/3.16 # Condensation successes : 0
% 13.62/3.16 # Termbank termtop insertions : 876134
% 13.62/3.16
% 13.62/3.16 # -------------------------------------------------
% 13.62/3.16 # User time : 0.812 s
% 13.62/3.16 # System time : 0.023 s
% 13.62/3.16 # Total time : 0.835 s
% 13.62/3.16 # ...preprocessing : 0.017 s
% 13.62/3.16 # ...main loop : 0.818 s
% 13.62/3.16 # Maximum resident set size: 28476 pages
% 13.62/3.16
%------------------------------------------------------------------------------