TSTP Solution File: SWW231+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW231+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : Thu Jul 21 00:10:21 EDT 2022
% Result : Theorem 0.52s 24.69s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 47
% Syntax : Number of formulae : 239 ( 229 unt; 0 def)
% Number of atoms : 261 ( 229 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 14 |; 4 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 5 con; 0-3 aty)
% Number of variables : 314 ( 18 sgn 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_sin__minus,axiom,
! [X5] : c_Transcendental_Osin(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X5)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Osin(X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_sin__minus) ).
fof(fact_Im__cis,axiom,
! [X9] : c_Complex_OIm(c_Complex_Ocis(X9)) = c_Transcendental_Osin(X9),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Im__cis) ).
fof(fact_cis__rcis__eq,axiom,
! [X9] : c_Complex_Ocis(X9) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X9),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_cis__rcis__eq) ).
fof(fact_cos__periodic__pi,axiom,
! [X5] : c_Transcendental_Ocos(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X5,c_Transcendental_Opi)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Ocos(X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_cos__periodic__pi) ).
fof(fact_Re__cis,axiom,
! [X9] : c_Complex_ORe(c_Complex_Ocis(X9)) = c_Transcendental_Ocos(X9),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Re__cis) ).
fof(fact_sin__periodic__pi,axiom,
! [X5] : c_Transcendental_Osin(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X5,c_Transcendental_Opi)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Osin(X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_sin__periodic__pi) ).
fof(fact_Im_Ominus,axiom,
! [X5] : c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X5)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_OIm(X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Im_Ominus) ).
fof(fact_rcis__def,axiom,
! [X9,X44] : c_Complex_Orcis(X44,X9) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,X44)),c_Complex_Ocis(X9)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_rcis__def) ).
fof(fact_complex__of__real__def,axiom,
! [X44] : c_RealVector_Oof__real(tc_Complex_Ocomplex,X44) = c_Complex_Ocomplex_OComplex(X44,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_complex__of__real__def) ).
fof(fact_rcis__zero__arg,axiom,
! [X44] : c_Complex_Orcis(X44,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(tc_Complex_Ocomplex,X44),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_rcis__zero__arg) ).
fof(fact_Re__complex__of__real,axiom,
! [X17] : c_Complex_ORe(c_RealVector_Oof__real(tc_Complex_Ocomplex,X17)) = X17,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Re__complex__of__real) ).
fof(fact_Re_Ominus,axiom,
! [X5] : c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X5)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_ORe(X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Re_Ominus) ).
fof(fact_cis__mult,axiom,
! [X11,X9] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X9)),c_Complex_Ocis(X11)) = c_Complex_Ocis(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,X11)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_cis__mult) ).
fof(fact_Im__complex__of__real,axiom,
! [X17] : c_Complex_OIm(c_RealVector_Oof__real(tc_Complex_Ocomplex,X17)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Im__complex__of__real) ).
fof(fact_complex__surj,axiom,
! [X17] : c_Complex_Ocomplex_OComplex(c_Complex_ORe(X17),c_Complex_OIm(X17)) = X17,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_complex__surj) ).
fof(fact_sin__pi,axiom,
c_Transcendental_Osin(c_Transcendental_Opi) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_sin__pi) ).
fof(fact_cos__add,axiom,
! [X4,X5] : c_Transcendental_Ocos(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X5,X4)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X5)),c_Transcendental_Ocos(X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X5)),c_Transcendental_Osin(X4))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_cos__add) ).
fof(fact_Re__rcis,axiom,
! [X9,X44] : c_Complex_ORe(c_Complex_Orcis(X44,X9)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X44),c_Transcendental_Ocos(X9)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Re__rcis) ).
fof(fact_Im__rcis,axiom,
! [X9,X44] : c_Complex_OIm(c_Complex_Orcis(X44,X9)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X44),c_Transcendental_Osin(X9)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Im__rcis) ).
fof(fact_cos__diff2,axiom,
! [X4,X5] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X4)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X4)),c_Transcendental_Ocos(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X4)),c_Transcendental_Osin(X5))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_cos__diff2) ).
fof(fact_minus__real__def,axiom,
! [X4,X5] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X4) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X5,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X4)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_minus__real__def) ).
fof(fact_rcis__zero__mod,axiom,
! [X9] : c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X9) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_rcis__zero__mod) ).
fof(fact_Im_Ozero,axiom,
c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Im_Ozero) ).
fof(fact_real__add__eq__0__iff,axiom,
! [X18,X19] :
( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X19,X18) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
<=> X18 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X19) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__add__eq__0__iff) ).
fof(fact_cos__zero,axiom,
c_Transcendental_Ocos(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_cos__zero) ).
fof(fact_cis__zero,axiom,
c_Complex_Ocis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_cis__zero) ).
fof(fact_sin__zero,axiom,
c_Transcendental_Osin(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_sin__zero) ).
fof(fact_sin__diff2,axiom,
! [X4,X5] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X5,X4)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X4)),c_Transcendental_Osin(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X4)),c_Transcendental_Ocos(X5))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_sin__diff2) ).
fof(fact_Re,axiom,
! [X4,X5] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(X5,X4)) = X5,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Re) ).
fof(fact_Im,axiom,
! [X4,X5] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(X5,X4)) = X4,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Im) ).
fof(fact_Im_Oadd,axiom,
! [X4,X5] : c_Complex_OIm(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X5,X4)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_OIm(X5),c_Complex_OIm(X4)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Im_Oadd) ).
fof(fact_Complex__add__complex__of__real,axiom,
! [X44,X4,X5] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X5,X4),c_RealVector_Oof__real(tc_Complex_Ocomplex,X44)) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X5,X44),X4),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Complex__add__complex__of__real) ).
fof(fact_real__add__mult__distrib,axiom,
! [X6,X7,X8] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X8,X7)),X6) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X6),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X7),X6)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__add__mult__distrib) ).
fof(fact_real__mult__1,axiom,
! [X17] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X17) = X17,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__mult__1) ).
fof(fact_real__mult__commute,axiom,
! [X6,X17] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X17),X6) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X6),X17),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__mult__commute) ).
fof(fact_complex__of__real__add__Complex,axiom,
! [X4,X5,X44] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,X44),c_Complex_Ocomplex_OComplex(X5,X4)) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X44,X5),X4),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_complex__of__real__add__Complex) ).
fof(fact_Re_Ozero,axiom,
c_Complex_ORe(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_Re_Ozero) ).
fof(fact_complex__mod__minus__le__complex__mod,axiom,
! [X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_complex__mod__minus__le__complex__mod) ).
fof(fact_complex__mod__rcis,axiom,
! [X9,X44] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X44,X9)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X44),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_complex__mod__rcis) ).
fof(fact_rcis__mult,axiom,
! [X11,X21,X9,X22] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X22,X9)),c_Complex_Orcis(X21,X11)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X22),X21),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X9,X11)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_rcis__mult) ).
fof(conj_0,conjecture,
c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,v_a)) = c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)),v_a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_abs__le__interval__iff,axiom,
! [X43,X19] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X19),X43)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X43),X19)
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X43) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_abs__le__interval__iff) ).
fof(fact_real__le__refl,axiom,
! [X6] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X6),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__le__refl) ).
fof(fact_complex__Re__le__cmod,axiom,
! [X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_ORe(X5),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_complex__Re__le__cmod) ).
fof(fact_real__sqrt__mult,axiom,
! [X4,X5] : c_NthRoot_Osqrt(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5),X4)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5)),c_NthRoot_Osqrt(X4)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__sqrt__mult) ).
fof(fact_real__sqrt__abs2,axiom,
! [X5] : c_NthRoot_Osqrt(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X5),X5)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X5),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__sqrt__abs2) ).
fof(fact_real__le__antisym,axiom,
! [X6,X17] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X17,X6)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X17)
=> X17 = X6 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fact_real__le__antisym) ).
fof(c_0_47,plain,
! [X6] : c_Transcendental_Osin(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X6)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Osin(X6)),
inference(variable_rename,[status(thm)],[fact_sin__minus]) ).
fof(c_0_48,plain,
! [X10] : c_Complex_OIm(c_Complex_Ocis(X10)) = c_Transcendental_Osin(X10),
inference(variable_rename,[status(thm)],[fact_Im__cis]) ).
fof(c_0_49,plain,
! [X10] : c_Complex_Ocis(X10) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X10),
inference(variable_rename,[status(thm)],[fact_cis__rcis__eq]) ).
fof(c_0_50,plain,
! [X6] : c_Transcendental_Ocos(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X6,c_Transcendental_Opi)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Ocos(X6)),
inference(variable_rename,[status(thm)],[fact_cos__periodic__pi]) ).
fof(c_0_51,plain,
! [X10] : c_Complex_ORe(c_Complex_Ocis(X10)) = c_Transcendental_Ocos(X10),
inference(variable_rename,[status(thm)],[fact_Re__cis]) ).
fof(c_0_52,plain,
! [X6] : c_Transcendental_Osin(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X6,c_Transcendental_Opi)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Osin(X6)),
inference(variable_rename,[status(thm)],[fact_sin__periodic__pi]) ).
cnf(c_0_53,plain,
c_Transcendental_Osin(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Osin(X1)),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,plain,
c_Complex_OIm(c_Complex_Ocis(X1)) = c_Transcendental_Osin(X1),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
c_Complex_Ocis(X1) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_56,plain,
! [X6] : c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X6)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_OIm(X6)),
inference(variable_rename,[status(thm)],[fact_Im_Ominus]) ).
fof(c_0_57,plain,
! [X45,X46] : c_Complex_Orcis(X46,X45) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,X46)),c_Complex_Ocis(X45)),
inference(variable_rename,[status(thm)],[fact_rcis__def]) ).
fof(c_0_58,plain,
! [X45] : c_RealVector_Oof__real(tc_Complex_Ocomplex,X45) = c_Complex_Ocomplex_OComplex(X45,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(variable_rename,[status(thm)],[fact_complex__of__real__def]) ).
fof(c_0_59,plain,
! [X45] : c_Complex_Orcis(X45,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(tc_Complex_Ocomplex,X45),
inference(variable_rename,[status(thm)],[fact_rcis__zero__arg]) ).
fof(c_0_60,plain,
! [X18] : c_Complex_ORe(c_RealVector_Oof__real(tc_Complex_Ocomplex,X18)) = X18,
inference(variable_rename,[status(thm)],[fact_Re__complex__of__real]) ).
cnf(c_0_61,plain,
c_Transcendental_Ocos(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Ocos(X1)),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,plain,
c_Complex_ORe(c_Complex_Ocis(X1)) = c_Transcendental_Ocos(X1),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_63,plain,
! [X6] : c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X6)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_ORe(X6)),
inference(variable_rename,[status(thm)],[fact_Re_Ominus]) ).
cnf(c_0_64,plain,
c_Transcendental_Osin(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Osin(X1)),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_65,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_54]),c_0_55]),c_0_55]) ).
cnf(c_0_66,plain,
c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_OIm(X1)),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_67,plain,
! [X12,X13] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X13)),c_Complex_Ocis(X12)) = c_Complex_Ocis(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X12)),
inference(variable_rename,[status(thm)],[fact_cis__mult]) ).
cnf(c_0_68,plain,
c_Complex_Orcis(X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,X1)),c_Complex_Ocis(X2)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_69,plain,
! [X18] : c_Complex_OIm(c_RealVector_Oof__real(tc_Complex_Ocomplex,X18)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(variable_rename,[status(thm)],[fact_Im__complex__of__real]) ).
fof(c_0_70,plain,
! [X18] : c_Complex_Ocomplex_OComplex(c_Complex_ORe(X18),c_Complex_OIm(X18)) = X18,
inference(variable_rename,[status(thm)],[fact_complex__surj]) ).
cnf(c_0_71,plain,
c_Transcendental_Osin(c_Transcendental_Opi) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_sin__pi]) ).
cnf(c_0_72,plain,
c_RealVector_Oof__real(tc_Complex_Ocomplex,X1) = c_Complex_Ocomplex_OComplex(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_73,plain,
c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(tc_Complex_Ocomplex,X1),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,plain,
c_Complex_ORe(c_RealVector_Oof__real(tc_Complex_Ocomplex,X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_75,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62]),c_0_62]),c_0_55]),c_0_55]) ).
cnf(c_0_76,plain,
c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_ORe(X1)),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_77,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_54]),c_0_54]),c_0_55]),c_0_55]) ).
cnf(c_0_78,plain,
c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))) = c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))),
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_79,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Ocis(X1)),c_Complex_Ocis(X2)) = c_Complex_Ocis(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_80,plain,
c_Complex_Orcis(X1,X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,X1)),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)),
inference(rw,[status(thm)],[c_0_68,c_0_55]) ).
cnf(c_0_81,plain,
c_Complex_OIm(c_RealVector_Oof__real(tc_Complex_Ocomplex,X1)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_82,plain,
! [X6,X7] : c_Transcendental_Ocos(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,X6)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X7)),c_Transcendental_Ocos(X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X7)),c_Transcendental_Osin(X6))),
inference(variable_rename,[status(thm)],[fact_cos__add]) ).
fof(c_0_83,plain,
! [X45,X46] : c_Complex_ORe(c_Complex_Orcis(X46,X45)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X46),c_Transcendental_Ocos(X45)),
inference(variable_rename,[status(thm)],[fact_Re__rcis]) ).
fof(c_0_84,plain,
! [X45,X46] : c_Complex_OIm(c_Complex_Orcis(X46,X45)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X46),c_Transcendental_Osin(X45)),
inference(variable_rename,[status(thm)],[fact_Im__rcis]) ).
cnf(c_0_85,plain,
c_Complex_Ocomplex_OComplex(c_Complex_ORe(X1),c_Complex_OIm(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_86,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_54]),c_0_55]) ).
cnf(c_0_87,plain,
c_Complex_Ocomplex_OComplex(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_88,plain,
c_Complex_ORe(c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = X1,
inference(rw,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_89,plain,
c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))) = c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi))),
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_90,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1))) = c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_66]),c_0_78]) ).
cnf(c_0_91,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_55]),c_0_55]),c_0_55]) ).
cnf(c_0_92,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)) = c_Complex_Orcis(X1,X2),
inference(rw,[status(thm)],[c_0_80,c_0_73]) ).
cnf(c_0_93,plain,
c_Complex_OIm(c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_81,c_0_73]) ).
fof(c_0_94,plain,
! [X6,X7] : c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X6)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X6)),c_Transcendental_Ocos(X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X6)),c_Transcendental_Osin(X7))),
inference(variable_rename,[status(thm)],[fact_cos__diff2]) ).
cnf(c_0_95,plain,
c_Transcendental_Ocos(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X1)),c_Transcendental_Ocos(X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X1)),c_Transcendental_Osin(X2))),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_96,plain,
c_Complex_ORe(c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Transcendental_Ocos(X2)),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_97,plain,
c_Complex_OIm(c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Transcendental_Osin(X2)),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_98,plain,
c_Complex_Orcis(c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_99,plain,
c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),
inference(spm,[status(thm)],[c_0_76,c_0_88]) ).
cnf(c_0_100,plain,
c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_89]),c_0_78]),c_0_90]),c_0_85]) ).
cnf(c_0_101,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
fof(c_0_102,plain,
! [X6,X7] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X6) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X6)),
inference(variable_rename,[status(thm)],[fact_minus__real__def]) ).
cnf(c_0_103,plain,
c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_66,c_0_93]) ).
cnf(c_0_104,plain,
c_Transcendental_Ocos(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X2)),c_Transcendental_Ocos(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X2)),c_Transcendental_Osin(X1))),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_105,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_54]),c_0_54]),c_0_62]),c_0_62]),c_0_62]),c_0_55]),c_0_55]),c_0_55]),c_0_55]),c_0_55]) ).
cnf(c_0_106,plain,
c_Complex_ORe(c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_62]),c_0_55]) ).
cnf(c_0_107,plain,
c_Complex_OIm(c_Complex_Orcis(X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_54]),c_0_55]) ).
fof(c_0_108,plain,
! [X10] : c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X10) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(variable_rename,[status(thm)],[fact_rcis__zero__mod]) ).
cnf(c_0_109,plain,
c_Complex_Orcis(c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi)),X1) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_98]),c_0_91]) ).
cnf(c_0_110,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_111,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_112,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_100]),c_0_101]),c_0_86]) ).
cnf(c_0_113,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_54]),c_0_54]),c_0_62]),c_0_62]),c_0_62]),c_0_55]),c_0_55]),c_0_55]),c_0_55]),c_0_55]) ).
cnf(c_0_114,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_ORe(c_Complex_Orcis(c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X2)),c_Complex_OIm(c_Complex_Orcis(c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X2))) = c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106]),c_0_107]) ).
cnf(c_0_115,plain,
c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_116,plain,
c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_Im_Ozero]) ).
cnf(c_0_117,plain,
c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1)),
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_118,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
fof(c_0_119,plain,
! [X20,X21,X20,X21] :
( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X21,X20) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X20 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X21) )
& ( X20 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X21)
| c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X21,X20) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__eq__0__iff])])])]) ).
cnf(c_0_120,plain,
c_Transcendental_Ocos(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_cos__zero]) ).
cnf(c_0_121,plain,
c_Complex_Ocis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[fact_cis__zero]) ).
cnf(c_0_122,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_ORe(c_Complex_Orcis(c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X2)),c_Complex_OIm(c_Complex_Orcis(c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X2))) = c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_106]),c_0_107]) ).
cnf(c_0_123,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_110]),c_0_86]),c_0_115]),c_0_116]),c_0_117]),c_0_118]) ).
cnf(c_0_124,plain,
( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| X2 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_125,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_62]),c_0_55]) ).
cnf(c_0_126,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
inference(rw,[status(thm)],[c_0_121,c_0_55]) ).
cnf(c_0_127,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Transcendental_Opi))) = c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_110]),c_0_86]),c_0_115]),c_0_116]),c_0_117]),c_0_123]) ).
cnf(c_0_128,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_124]),c_0_111]) ).
cnf(c_0_129,plain,
c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_130,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_110]),c_0_89]) ).
cnf(c_0_131,plain,
c_Transcendental_Osin(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_sin__zero]) ).
cnf(c_0_132,plain,
c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_126]),c_0_129]),c_0_130]) ).
cnf(c_0_133,plain,
c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_66,c_0_86]) ).
cnf(c_0_134,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_54]),c_0_55]) ).
fof(c_0_135,plain,
! [X6,X7] : c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X7,X6)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X6)),c_Transcendental_Osin(X7)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X6)),c_Transcendental_Ocos(X7))),
inference(variable_rename,[status(thm)],[fact_sin__diff2]) ).
cnf(c_0_136,plain,
c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_130,c_0_132]) ).
cnf(c_0_137,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_133,c_0_100]) ).
cnf(c_0_138,plain,
c_Complex_OIm(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_134,c_0_126]) ).
fof(c_0_139,plain,
! [X6,X7] : c_Complex_ORe(c_Complex_Ocomplex_OComplex(X7,X6)) = X7,
inference(variable_rename,[status(thm)],[fact_Re]) ).
fof(c_0_140,plain,
! [X6,X7] : c_Complex_OIm(c_Complex_Ocomplex_OComplex(X7,X6)) = X6,
inference(variable_rename,[status(thm)],[fact_Im]) ).
cnf(c_0_141,plain,
c_Transcendental_Osin(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Ocos(X2)),c_Transcendental_Osin(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Transcendental_Osin(X2)),c_Transcendental_Ocos(X1))),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
fof(c_0_142,plain,
! [X6,X7] : c_Complex_OIm(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X7,X6)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_OIm(X7),c_Complex_OIm(X6)),
inference(variable_rename,[status(thm)],[fact_Im_Oadd]) ).
fof(c_0_143,plain,
! [X45,X46,X47] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X47,X46),c_RealVector_Oof__real(tc_Complex_Ocomplex,X45)) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X47,X45),X46),
inference(variable_rename,[status(thm)],[fact_Complex__add__complex__of__real]) ).
cnf(c_0_144,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_136]),c_0_137]),c_0_112]),c_0_87]),c_0_126]) ).
cnf(c_0_145,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_126]),c_0_138]),c_0_93]) ).
cnf(c_0_146,plain,
c_Complex_ORe(c_Complex_Ocomplex_OComplex(X1,X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_147,plain,
c_Complex_OIm(c_Complex_Ocomplex_OComplex(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_140]) ).
fof(c_0_148,plain,
! [X9,X10,X11] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X11,X10)),X9) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X11),X9),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X10),X9)),
inference(variable_rename,[status(thm)],[fact_real__add__mult__distrib]) ).
fof(c_0_149,plain,
! [X18] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X18) = X18,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
fof(c_0_150,plain,
! [X18,X19] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X19),X18) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X18),X19),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
cnf(c_0_151,plain,
c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_130]),c_0_137]),c_0_112]),c_0_87]) ).
cnf(c_0_152,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2))) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X2))),c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_54]),c_0_54]),c_0_54]),c_0_62]),c_0_62]),c_0_55]),c_0_55]),c_0_55]),c_0_55]),c_0_55]) ).
cnf(c_0_153,plain,
c_Complex_OIm(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_OIm(X1),c_Complex_OIm(X2)),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_154,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2),c_RealVector_Oof__real(tc_Complex_Ocomplex,X3)) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3),X2),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_155,plain,
c_Complex_ORe(c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_144]),c_0_129]) ).
cnf(c_0_156,plain,
c_Complex_OIm(c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_144]),c_0_138]),c_0_145]) ).
cnf(c_0_157,plain,
c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),
inference(spm,[status(thm)],[c_0_76,c_0_146]) ).
cnf(c_0_158,plain,
c_Complex_OIm(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),
inference(spm,[status(thm)],[c_0_66,c_0_147]) ).
cnf(c_0_159,plain,
c_Complex_OIm(c_Complex_Orcis(X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2))) = c_Complex_OIm(c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Transcendental_Opi))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_90]),c_0_107]) ).
cnf(c_0_160,plain,
c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)) = c_Complex_Orcis(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_101]),c_0_92]) ).
cnf(c_0_161,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_162,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_163,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(spm,[status(thm)],[c_0_111,c_0_132]) ).
cnf(c_0_164,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_165,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Complex_ORe(c_Complex_Orcis(X1,c_Transcendental_Opi)),
inference(spm,[status(thm)],[c_0_106,c_0_110]) ).
fof(c_0_166,plain,
! [X45,X46,X47] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,X47),c_Complex_Ocomplex_OComplex(X46,X45)) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X47,X46),X45),
inference(variable_rename,[status(thm)],[fact_complex__of__real__add__Complex]) ).
cnf(c_0_167,plain,
c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_151]),c_0_91]) ).
cnf(c_0_168,plain,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Orcis(c_Complex_ORe(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X2)),c_Complex_ORe(c_Complex_Orcis(c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),X2))) = c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_107]),c_0_106]) ).
cnf(c_0_169,plain,
c_Complex_ORe(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_Re_Ozero]) ).
cnf(c_0_170,plain,
c_Complex_OIm(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2),X3)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Complex_OIm(X3)),
inference(spm,[status(thm)],[c_0_153,c_0_147]) ).
cnf(c_0_171,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2),c_Complex_Orcis(X3,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3),X2),
inference(rw,[status(thm)],[c_0_154,c_0_73]) ).
cnf(c_0_172,plain,
c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_155]),c_0_156]),c_0_87]) ).
cnf(c_0_173,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi),
inference(rw,[status(thm)],[c_0_98,c_0_109]) ).
fof(c_0_174,plain,
! [X6] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X6)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X6)),
inference(variable_rename,[status(thm)],[fact_complex__mod__minus__le__complex__mod]) ).
fof(c_0_175,plain,
! [X45,X46] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X46,X45)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X46),
inference(variable_rename,[status(thm)],[fact_complex__mod__rcis]) ).
cnf(c_0_176,plain,
c_Complex_Ocomplex_OComplex(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Ocomplex_OComplex(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_157]),c_0_158]) ).
cnf(c_0_177,plain,
c_Complex_OIm(c_Complex_Orcis(X1,c_Transcendental_Opi)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_112]),c_0_93]),c_0_160]) ).
cnf(c_0_178,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X2),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_179,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(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_128,c_0_163]) ).
cnf(c_0_180,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),X1) = c_Complex_ORe(c_Complex_Orcis(X1,c_Transcendental_Opi)),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_181,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_164,c_0_145]) ).
fof(c_0_182,plain,
! [X23,X24,X25,X26] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X26,X25)),c_Complex_Orcis(X24,X23)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X26),X24),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X25,X23)),
inference(variable_rename,[status(thm)],[fact_rcis__mult]) ).
cnf(c_0_183,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,X1),c_Complex_Ocomplex_OComplex(X2,X3)) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_184,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi),X1)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1),
inference(rw,[status(thm)],[c_0_167,c_0_132]) ).
cnf(c_0_185,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Transcendental_Opi))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_110]),c_0_86]),c_0_115]),c_0_169]),c_0_117]),c_0_118]) ).
cnf(c_0_186,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_147]),c_0_93]) ).
cnf(c_0_187,plain,
c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi)) = c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_164]),c_0_162]) ).
cnf(c_0_188,plain,
c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Complex_Orcis(X1,c_Transcendental_Opi),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_173]),c_0_92]) ).
fof(c_0_189,negated_conjecture,
c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,v_a)) != c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)),v_a),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_190,plain,
! [X44,X45,X44,X45] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X44),X45)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X45),X44) )
& ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X45,X44)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X45),X44) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X44),X45)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X45,X44)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X45),X44) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__le__interval__iff])])])])]) ).
cnf(c_0_191,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_192,plain,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Complex_Orcis(X1,X2)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
fof(c_0_193,plain,
! [X7] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7,X7),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
fof(c_0_194,plain,
! [X6] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_ORe(X6),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X6)),
inference(variable_rename,[status(thm)],[fact_complex__Re__le__cmod]) ).
cnf(c_0_195,plain,
c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) = c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_112]),c_0_87]),c_0_87]) ).
cnf(c_0_196,plain,
c_Complex_Orcis(c_Complex_ORe(c_Complex_Orcis(X1,c_Transcendental_Opi)),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Orcis(X1,c_Transcendental_Opi),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_177]),c_0_87]) ).
cnf(c_0_197,plain,
( X1 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)
| c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_198,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Complex_ORe(c_Complex_Orcis(X1,c_Transcendental_Opi)),X1) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_181]) ).
cnf(c_0_199,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(X1,X2)),c_Complex_Orcis(X3,X4)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X3),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4)),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_200,plain,
c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_Complex_Ocomplex_OComplex(X2,X3)) = c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2),X3),
inference(rw,[status(thm)],[c_0_183,c_0_73]) ).
cnf(c_0_201,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi),X1)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1)),
inference(spm,[status(thm)],[c_0_184,c_0_111]) ).
cnf(c_0_202,plain,
c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Transcendental_Opi))) = c_Complex_OIm(c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1))),
inference(rw,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_203,plain,
c_Complex_ORe(c_Complex_Orcis(X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,c_Transcendental_Opi))) = c_Complex_ORe(c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X2))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_127]),c_0_106]) ).
cnf(c_0_204,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi))) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_187]),c_0_117]),c_0_188]) ).
fof(c_0_205,negated_conjecture,
c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,v_a)) != c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)),v_a),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_206,plain,
! [X6,X7] : c_NthRoot_Osqrt(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X7),X6)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7)),c_NthRoot_Osqrt(X6)),
inference(variable_rename,[status(thm)],[fact_real__sqrt__mult]) ).
fof(c_0_207,plain,
! [X6] : c_NthRoot_Osqrt(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X6),X6)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X6),
inference(variable_rename,[status(thm)],[fact_real__sqrt__abs2]) ).
fof(c_0_208,plain,
! [X18,X19] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X19,X18)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X18,X19)
| X19 = X18 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).
cnf(c_0_209,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_210,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_211,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_212,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Complex_ORe(X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_213,plain,
c_Complex_Orcis(c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Transcendental_Opi))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Transcendental_Opi)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_76]) ).
cnf(c_0_214,plain,
c_Complex_ORe(c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Transcendental_Opi))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_76]) ).
cnf(c_0_215,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)),c_Complex_Orcis(X2,X3)) = c_Complex_Orcis(X2,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X3)),
inference(spm,[status(thm)],[c_0_199,c_0_162]) ).
cnf(c_0_216,plain,
c_Complex_Ocomplex_OComplex(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1),X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X1,X2)),
inference(spm,[status(thm)],[c_0_200,c_0_126]) ).
cnf(c_0_217,plain,
c_Complex_OIm(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),X1)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Complex_OIm(X1)),
inference(spm,[status(thm)],[c_0_153,c_0_138]) ).
cnf(c_0_218,plain,
c_Complex_Orcis(X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi),X2)) = c_Complex_Orcis(X1,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_201]),c_0_92]) ).
cnf(c_0_219,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,c_Transcendental_Opi)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_202]),c_0_203]),c_0_85]) ).
cnf(c_0_220,plain,
c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,c_Transcendental_Opi))) = c_Complex_Orcis(X1,c_Transcendental_Opi),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_204]),c_0_92]) ).
cnf(c_0_221,negated_conjecture,
c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_NthRoot_Osqrt(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,v_a)) != c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)),v_a),
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_222,plain,
c_NthRoot_Osqrt(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1)),c_NthRoot_Osqrt(X2)),
inference(split_conjunct,[status(thm)],[c_0_206]) ).
cnf(c_0_223,plain,
c_NthRoot_Osqrt(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_207]) ).
cnf(c_0_224,plain,
( X1 = X2
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_225,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211])]) ).
cnf(c_0_226,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_88]),c_0_192]) ).
cnf(c_0_227,plain,
c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Orcis(X1,c_Transcendental_Opi)) = c_Complex_Orcis(X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_228,plain,
c_Complex_Orcis(c_Complex_ORe(c_Complex_Orcis(X1,c_Transcendental_Opi)),X2) = c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Transcendental_Opi)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_196]),c_0_215]),c_0_186]) ).
cnf(c_0_229,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_216]),c_0_217]),c_0_147]) ).
cnf(c_0_230,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Transcendental_Opi)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Transcendental_Opi),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_231,negated_conjecture,
c_Complex_Orcis(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,v_a)) != c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)),v_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222]),c_0_223]) ).
cnf(c_0_232,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226])]) ).
cnf(c_0_233,plain,
c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Complex_Orcis(X1,c_Transcendental_Opi),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_187]),c_0_195]),c_0_228]),c_0_229]) ).
cnf(c_0_234,plain,
c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Transcendental_Opi)) = c_Complex_Orcis(c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_230]),c_0_91]),c_0_111]),c_0_219]) ).
cnf(c_0_235,negated_conjecture,
c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r)),v_a) != c_Complex_Orcis(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,v_a)),
inference(rw,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_236,plain,
c_Complex_Orcis(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X1),X2) = c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Transcendental_Opi)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_233]),c_0_215]),c_0_186]) ).
cnf(c_0_237,plain,
c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,c_Transcendental_Opi)) = c_Complex_Orcis(X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Opi,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_234]),c_0_92]) ).
cnf(c_0_238,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_236]),c_0_237])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW231+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.14 % Command : run_ET %s %d
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sat Jun 4 12:02:31 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.51/23.52 eprover: CPU time limit exceeded, terminating
% 0.51/23.53 eprover: CPU time limit exceeded, terminating
% 0.51/23.54 eprover: CPU time limit exceeded, terminating
% 0.51/23.55 eprover: CPU time limit exceeded, terminating
% 0.52/24.69 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.52/24.69
% 0.52/24.69 # Failure: Resource limit exceeded (time)
% 0.52/24.69 # OLD status Res
% 0.52/24.69 # Preprocessing time : 0.121 s
% 0.52/24.69 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 0.52/24.69 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 0.52/24.69 # Preprocessing time : 0.042 s
% 0.52/24.69
% 0.52/24.69 # Proof found!
% 0.52/24.69 # SZS status Theorem
% 0.52/24.69 # SZS output start CNFRefutation
% See solution above
% 0.52/24.69 # Proof object total steps : 239
% 0.52/24.69 # Proof object clause steps : 150
% 0.52/24.69 # Proof object formula steps : 89
% 0.52/24.69 # Proof object conjectures : 7
% 0.52/24.69 # Proof object clause conjectures : 4
% 0.52/24.69 # Proof object formula conjectures : 3
% 0.52/24.69 # Proof object initial clauses used : 48
% 0.52/24.69 # Proof object initial formulas used : 47
% 0.52/24.69 # Proof object generating inferences : 64
% 0.52/24.69 # Proof object simplifying inferences : 174
% 0.52/24.69 # Training examples: 0 positive, 0 negative
% 0.52/24.69 # Parsed axioms : 1201
% 0.52/24.69 # Removed by relevancy pruning/SinE : 798
% 0.52/24.69 # Initial clauses : 551
% 0.52/24.69 # Removed in clause preprocessing : 16
% 0.52/24.69 # Initial clauses in saturation : 535
% 0.52/24.69 # Processed clauses : 5727
% 0.52/24.69 # ...of these trivial : 1696
% 0.52/24.69 # ...subsumed : 2225
% 0.52/24.69 # ...remaining for further processing : 1806
% 0.52/24.69 # Other redundant clauses eliminated : 46
% 0.52/24.69 # Clauses deleted for lack of memory : 0
% 0.52/24.69 # Backward-subsumed : 6
% 0.52/24.69 # Backward-rewritten : 500
% 0.52/24.69 # Generated clauses : 105538
% 0.52/24.69 # ...of the previous two non-trivial : 60251
% 0.52/24.69 # Contextual simplify-reflections : 7
% 0.52/24.69 # Paramodulations : 105462
% 0.52/24.69 # Factorizations : 10
% 0.52/24.69 # Equation resolutions : 66
% 0.52/24.69 # Current number of processed clauses : 1286
% 0.52/24.69 # Positive orientable unit clauses : 852
% 0.52/24.69 # Positive unorientable unit clauses: 38
% 0.52/24.69 # Negative unit clauses : 74
% 0.52/24.69 # Non-unit-clauses : 322
% 0.52/24.69 # Current number of unprocessed clauses: 33920
% 0.52/24.69 # ...number of literals in the above : 55360
% 0.52/24.69 # Current number of archived formulas : 0
% 0.52/24.69 # Current number of archived clauses : 509
% 0.52/24.69 # Clause-clause subsumption calls (NU) : 11892
% 0.52/24.69 # Rec. Clause-clause subsumption calls : 10324
% 0.52/24.69 # Non-unit clause-clause subsumptions : 76
% 0.52/24.69 # Unit Clause-clause subsumption calls : 4002
% 0.52/24.69 # Rewrite failures with RHS unbound : 0
% 0.52/24.69 # BW rewrite match attempts : 14081
% 0.52/24.69 # BW rewrite match successes : 577
% 0.52/24.69 # Condensation attempts : 0
% 0.52/24.69 # Condensation successes : 0
% 0.52/24.69 # Termbank termtop insertions : 2458658
% 0.52/24.69
% 0.52/24.69 # -------------------------------------------------
% 0.52/24.69 # User time : 1.083 s
% 0.52/24.69 # System time : 0.031 s
% 0.52/24.69 # Total time : 1.114 s
% 0.52/24.69 # Maximum resident set size: 54672 pages
% 0.52/46.56 eprover: CPU time limit exceeded, terminating
% 0.52/46.56 eprover: CPU time limit exceeded, terminating
% 0.52/46.58 eprover: CPU time limit exceeded, terminating
% 0.52/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.58 eprover: No such file or directory
% 0.52/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.58 eprover: No such file or directory
% 0.52/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.58 eprover: No such file or directory
% 0.52/46.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.58 eprover: No such file or directory
% 0.52/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.59 eprover: No such file or directory
% 0.52/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.59 eprover: No such file or directory
% 0.52/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.59 eprover: No such file or directory
% 0.52/46.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.59 eprover: No such file or directory
% 0.52/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.60 eprover: No such file or directory
% 0.52/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.60 eprover: No such file or directory
% 0.52/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.60 eprover: No such file or directory
% 0.52/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.60 eprover: No such file or directory
% 0.52/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.60 eprover: No such file or directory
% 0.52/46.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.60 eprover: No such file or directory
% 0.52/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.61 eprover: No such file or directory
% 0.52/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.61 eprover: No such file or directory
% 0.52/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.61 eprover: No such file or directory
% 0.52/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.61 eprover: No such file or directory
% 0.52/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.61 eprover: No such file or directory
% 0.52/46.61 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.61 eprover: No such file or directory
% 0.52/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.62 eprover: No such file or directory
% 0.52/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.62 eprover: No such file or directory
% 0.52/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.62 eprover: No such file or directory
% 0.52/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.62 eprover: No such file or directory
% 0.52/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.62 eprover: No such file or directory
% 0.52/46.62 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.62 eprover: No such file or directory
% 0.52/46.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.52/46.63 eprover: No such file or directory
% 0.52/46.63 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.63 eprover: No such file or directory
% 0.52/46.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.64 eprover: No such file or directory
% 0.52/46.64 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.52/46.64 eprover: No such file or directory
%------------------------------------------------------------------------------