TSTP Solution File: SWW254+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW254+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 : Thu Jul 21 00:01:50 EDT 2022
% Result : Theorem 11.22s 3.32s
% Output : CNFRefutation 11.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 44
% Syntax : Number of clauses : 132 ( 69 unt; 14 nHn; 95 RR)
% Number of literals : 231 ( 84 equ; 102 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 145 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1193,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1193) ).
cnf(i_0_215,plain,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_215) ).
cnf(i_0_1386,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1386) ).
cnf(i_0_479,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_479) ).
cnf(i_0_1182,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)) = c_RealVector_Onorm__class_Onorm(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3))
| ~ class_Fields_Ofield__inverse__zero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1182) ).
cnf(i_0_218,plain,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_218) ).
cnf(i_0_189,plain,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_189) ).
cnf(i_0_1210,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1210) ).
cnf(i_0_1407,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1407) ).
cnf(i_0_720,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Rings_Oinverse__class_Oinverse(X2,X1) != c_Groups_Ozero__class_Ozero(X2)
| ~ class_Rings_Odivision__ring(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_720) ).
cnf(i_0_225,plain,
class_Rings_Odivision__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_225) ).
cnf(i_0_1634,plain,
( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
| c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1634) ).
cnf(i_0_191,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_191) ).
cnf(i_0_693,plain,
( c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Oinverse(X1,X2)) = X2
| ~ class_Rings_Odivision__ring__inverse__zero(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_693) ).
cnf(i_0_226,plain,
class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_226) ).
cnf(i_0_395,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_395) ).
cnf(i_0_1357,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1357) ).
cnf(i_0_1188,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__vector(X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1188) ).
cnf(i_0_219,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_219) ).
cnf(i_0_1381,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1381) ).
cnf(i_0_1383,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1383) ).
cnf(i_0_16,plain,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_16) ).
cnf(i_0_834,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_834) ).
cnf(i_0_210,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_210) ).
cnf(i_0_1184,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_RealVector_Onorm__class_Onorm(X2,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1184) ).
cnf(i_0_20,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_20) ).
cnf(i_0_19,plain,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_19) ).
cnf(i_0_2,plain,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_2) ).
cnf(i_0_250,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_250) ).
cnf(i_0_1361,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,X1)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1361) ).
cnf(i_0_654,plain,
( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2) = c_Rings_Oinverse__class_Oinverse(X1,X2)
| ~ class_Fields_Ofield(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_654) ).
cnf(i_0_1,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1) ).
cnf(i_0_1258,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1258) ).
cnf(i_0_213,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_213) ).
cnf(i_0_1641,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1641) ).
cnf(i_0_414,plain,
( c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
| ~ class_Rings_Odivision__ring(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_414) ).
cnf(i_0_657,plain,
( c_Rings_Oinverse__class_Oinverse(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Fields_Ofield__inverse__zero(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_657) ).
cnf(i_0_1260,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1260) ).
cnf(i_0_774,plain,
( c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4))
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
| ~ c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_774) ).
cnf(i_0_1269,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1269) ).
cnf(i_0_686,plain,
( c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,X3,X2)
| ~ class_Fields_Ofield__inverse__zero(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_686) ).
cnf(i_0_1200,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_1200) ).
cnf(i_0_831,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(X3,X2,X1)
| c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Olinorder(X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_831) ).
cnf(i_0_482,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
| ~ class_Rings_Odivision__ring(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-pnt7qo4s/lgb.p',i_0_482) ).
cnf(c_0_1686,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Oone__class_Oone(X1)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
i_0_1193 ).
cnf(c_0_1687,plain,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
i_0_215 ).
cnf(c_0_1688,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
i_0_1386 ).
cnf(c_0_1689,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X2)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2),
i_0_479 ).
cnf(c_0_1690,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X1,X3)) = c_RealVector_Onorm__class_Onorm(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3))
| ~ class_Fields_Ofield__inverse__zero(X1)
| ~ class_RealVector_Oreal__normed__field(X1) ),
i_0_1182 ).
cnf(c_0_1691,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_1686,c_0_1687]) ).
cnf(c_0_1692,plain,
c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1),
inference(spm,[status(thm)],[c_0_1688,c_0_1689]) ).
cnf(c_0_1693,plain,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
i_0_218 ).
cnf(c_0_1694,plain,
class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal),
i_0_189 ).
cnf(c_0_1695,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
i_0_1210 ).
cnf(c_0_1696,plain,
c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
i_0_1407 ).
cnf(c_0_1697,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Rings_Oinverse__class_Oinverse(X2,X1) != c_Groups_Ozero__class_Ozero(X2)
| ~ class_Rings_Odivision__ring(X2) ),
i_0_720 ).
cnf(c_0_1698,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1)) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1690,c_0_1691]),c_0_1692]),c_0_1692]),c_0_1693]),c_0_1694])]) ).
cnf(c_0_1699,plain,
class_Rings_Odivision__ring(tc_RealDef_Oreal),
i_0_225 ).
cnf(c_0_1700,plain,
( c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))
| c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3)) ),
i_0_1634 ).
cnf(c_0_1701,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
i_0_191 ).
cnf(c_0_1702,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_1695,c_0_1696]) ).
cnf(c_0_1703,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1697,c_0_1698]),c_0_1699])]) ).
cnf(c_0_1704,plain,
( c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Oinverse(X1,X2)) = X2
| ~ class_Rings_Odivision__ring__inverse__zero(X1) ),
i_0_693 ).
cnf(c_0_1705,plain,
class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal),
i_0_226 ).
cnf(c_0_1706,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1))),
i_0_395 ).
cnf(c_0_1707,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____),
i_0_1357 ).
cnf(c_0_1708,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1700,c_0_1692]),c_0_1701])]),c_0_1702]) ).
cnf(c_0_1709,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__vector(X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X2,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
i_0_1188 ).
cnf(c_0_1710,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1703,c_0_1704]),c_0_1705])]) ).
cnf(c_0_1711,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
i_0_219 ).
cnf(c_0_1712,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
i_0_1381 ).
cnf(c_0_1713,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
i_0_1383 ).
cnf(c_0_1714,plain,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
i_0_16 ).
cnf(c_0_1715,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
i_0_834 ).
cnf(c_0_1716,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1))),
inference(rw,[status(thm)],[c_0_1706,c_0_1707]) ).
cnf(c_0_1717,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
i_0_210 ).
cnf(c_0_1718,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1704]),c_0_1705])]) ).
cnf(c_0_1719,plain,
( c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1709,c_0_1710]),c_0_1711]),c_0_1712])]) ).
cnf(c_0_1720,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(er,[status(thm)],[c_0_1713]) ).
cnf(c_0_1721,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_RealVector_Onorm__class_Onorm(X2,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
i_0_1184 ).
cnf(c_0_1722,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
i_0_20 ).
cnf(c_0_1723,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_1686,c_0_1714]) ).
cnf(c_0_1724,plain,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
i_0_19 ).
cnf(c_0_1725,plain,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
i_0_2 ).
cnf(c_0_1726,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
i_0_250 ).
cnf(c_0_1727,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1715,c_0_1716]),c_0_1717])]) ).
cnf(c_0_1728,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,X1)) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1),
i_0_1361 ).
cnf(c_0_1729,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1718,c_0_1719]),c_0_1720]) ).
cnf(c_0_1730,plain,
( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2) = c_Rings_Oinverse__class_Oinverse(X1,X2)
| ~ class_Fields_Ofield(X1) ),
i_0_654 ).
cnf(c_0_1731,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
i_0_1 ).
cnf(c_0_1732,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_1721,c_0_1722]) ).
cnf(c_0_1733,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1690,c_0_1723]),c_0_1724]),c_0_1725])]) ).
cnf(c_0_1734,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1726,c_0_1707]),c_0_1707]) ).
cnf(c_0_1735,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),
inference(spm,[status(thm)],[c_0_1727,c_0_1728]) ).
cnf(c_0_1736,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X3) ),
i_0_1258 ).
cnf(c_0_1737,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
i_0_213 ).
cnf(c_0_1738,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
i_0_1641 ).
cnf(c_0_1739,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)) ),
inference(spm,[status(thm)],[c_0_1729,c_0_1710]) ).
cnf(c_0_1740,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1) = c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1),
inference(spm,[status(thm)],[c_0_1730,c_0_1731]) ).
cnf(c_0_1741,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_1732,c_0_1733]) ).
cnf(c_0_1742,plain,
( c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
| ~ class_Rings_Odivision__ring(X1) ),
i_0_414 ).
cnf(c_0_1743,plain,
( c_Rings_Oinverse__class_Oinverse(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Fields_Ofield__inverse__zero(X1) ),
i_0_657 ).
cnf(c_0_1744,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X4) ),
i_0_1260 ).
cnf(c_0_1745,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(sr,[status(thm)],[c_0_1734,c_0_1735]) ).
cnf(c_0_1746,plain,
( c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4))
| ~ class_Fields_Olinordered__field__inverse__zero(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)
| ~ c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3) ),
i_0_774 ).
cnf(c_0_1747,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X2)))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1736,c_0_1716]),c_0_1737])]) ).
cnf(c_0_1748,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
inference(spm,[status(thm)],[c_0_1738,c_0_1722]) ).
cnf(c_0_1749,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
i_0_1269 ).
cnf(c_0_1750,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1739,c_0_1704]),c_0_1705])]) ).
cnf(c_0_1751,plain,
c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1690,c_0_1723]),c_0_1692]),c_0_1740]),c_0_1724]),c_0_1725])]) ).
cnf(c_0_1752,plain,
( c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3)) = c_Rings_Oinverse__class_Odivide(X1,X3,X2)
| ~ class_Fields_Ofield__inverse__zero(X1) ),
i_0_686 ).
cnf(c_0_1753,plain,
( c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,X1,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_1742]),c_0_1699])]) ).
cnf(c_0_1754,plain,
c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_1743,c_0_1725]) ).
cnf(c_0_1755,plain,
( c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
i_0_1200 ).
cnf(c_0_1756,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1744,c_0_1745]),c_0_1737])]) ).
cnf(c_0_1757,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X2))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1746,c_0_1688]),c_0_1701])]) ).
cnf(c_0_1758,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1747,c_0_1748]),c_0_1749]) ).
cnf(c_0_1759,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(X3,X2,X1)
| c_Orderings_Oord__class_Oless(X3,X1,X2)
| ~ class_Orderings_Olinorder(X3) ),
i_0_831 ).
cnf(c_0_1760,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
inference(spm,[status(thm)],[c_0_1750,c_0_1751]) ).
cnf(c_0_1761,plain,
( c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1752,c_0_1753]),c_0_1754]),c_0_1740]),c_0_1725])]) ).
cnf(c_0_1762,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_1755,c_0_1722]) ).
cnf(c_0_1763,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_1755,c_0_1711]) ).
cnf(c_0_1764,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1756,c_0_1757]),c_0_1758])]),c_0_1720]) ).
cnf(c_0_1765,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[c_0_1759,c_0_1717]) ).
cnf(c_0_1766,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1760,c_0_1761]),c_0_1762]),c_0_1763])]) ).
cnf(c_0_1767,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1764,c_0_1765]),c_0_1735]) ).
cnf(c_0_1768,plain,
( X1 = c_Groups_Ozero__class_Ozero(X2)
| c_Rings_Oinverse__class_Odivide(X2,X1,X1) = c_Groups_Oone__class_Oone(X2)
| ~ class_Rings_Odivision__ring(X2) ),
i_0_482 ).
cnf(c_0_1769,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_1766,c_0_1758]) ).
cnf(c_0_1770,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),v_w____))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_1745,c_0_1767]) ).
cnf(c_0_1771,plain,
( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,X1,X1) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)
| X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_1768,c_0_1699]) ).
cnf(c_0_1772,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),X1)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_1769,c_0_1728]) ).
cnf(c_0_1773,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1770,c_0_1771]),c_0_1720]),c_0_1772]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW254+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 10:37:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.53 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.53 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.53 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.22/3.32 # ENIGMATIC: Solved by autoschedule-lgb:
% 11.22/3.32 # No SInE strategy applied
% 11.22/3.32 # Trying AutoSched0 for 150 seconds
% 11.22/3.32 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_TT_S0Y
% 11.22/3.32 # and selection function SelectMaxLComplexAvoidPosPred.
% 11.22/3.32 #
% 11.22/3.32 # Preprocessing time : 0.031 s
% 11.22/3.32 # Presaturation interreduction done
% 11.22/3.32
% 11.22/3.32 # Proof found!
% 11.22/3.32 # SZS status Theorem
% 11.22/3.32 # SZS output start CNFRefutation
% See solution above
% 11.22/3.33 # Training examples: 0 positive, 0 negative
% 11.22/3.33
% 11.22/3.33 # -------------------------------------------------
% 11.22/3.33 # User time : 0.336 s
% 11.22/3.33 # System time : 0.020 s
% 11.22/3.33 # Total time : 0.356 s
% 11.22/3.33 # Maximum resident set size: 7400 pages
% 11.22/3.33
%------------------------------------------------------------------------------