TSTP Solution File: SWW289+1 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW289+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:11:30 EDT 2024
% Result : Theorem 152.12s 19.96s
% Output : CNFRefutation 152.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 50
% Syntax : Number of formulae : 213 ( 87 unt; 0 def)
% Number of atoms : 391 ( 203 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 307 ( 129 ~; 116 |; 7 &)
% ( 4 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 5 con; 0-3 aty)
% Number of variables : 368 ( 31 sgn 194 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(arity_Polynomial__Opoly__Power_Opower,axiom,
! [X88] :
( class_Rings_Ocomm__semiring__1(X88)
=> class_Power_Opower(tc_Polynomial_Opoly(X88)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Polynomial__Opoly__Power_Opower) ).
fof(fact_one__poly__def,axiom,
! [X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)) = c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_one__poly__def) ).
fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
! [X88] :
( class_Rings_Ocomm__semiring__1(X88)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X88)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(fact_power__power__power,axiom,
! [X5] :
( class_Power_Opower(X5)
=> c_Power_Opower__class_Opower(X5) = c_Power_Opower_Opower(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Otimes__class_Otimes(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_power__power__power) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_power_Opower_Opower__Suc,axiom,
! [X23,X7,X56,X57,X5] : hAPP(hAPP(c_Power_Opower_Opower(X5,X57,X56),X7),c_Nat_OSuc(X23)) = hAPP(hAPP(X56,X7),hAPP(hAPP(c_Power_Opower_Opower(X5,X57,X56),X7),X23)),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_power_Opower_Opower__Suc) ).
fof(fact_Suc__eq__plus1,axiom,
! [X24] : c_Nat_OSuc(X24) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X24,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_Suc__eq__plus1) ).
fof(fact_plus__nat_Oadd__0,axiom,
! [X24] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X24) = X24,
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_plus__nat_Oadd__0) ).
fof(fact_power_Opower_Opower__0,axiom,
! [X7,X56,X57,X5] : hAPP(hAPP(c_Power_Opower_Opower(X5,X57,X56),X7),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X57,
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_power_Opower_Opower__0) ).
fof(fact_one__neq__zero,axiom,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Oone__class_Oone(X5) != c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_one__neq__zero) ).
fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,
! [X88] :
( class_Rings_Ocomm__semiring__1(X88)
=> class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X88)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Polynomial__Opoly__Rings_Ozero__neq__one) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
! [X13,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X13),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X13 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J) ).
fof(fact_bool_Osize_I1_J,axiom,
c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_bool_Osize_I1_J) ).
fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,
! [X88] :
( class_Fields_Ofield(X88)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(X88)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Polynomial__Opoly__Divides_Osemiring__div) ).
fof(fact_div__mult__self1,axiom,
! [X10,X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,c_Groups_Oplus__class_Oplus(X5,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X11)),X11) = c_Groups_Oplus__class_Oplus(X5,X10,c_Divides_Odiv__class_Odiv(X5,X4,X11)) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_div__mult__self1) ).
fof(fact_div__by__1,axiom,
! [X4,X5] :
( class_Divides_Osemiring__div(X5)
=> c_Divides_Odiv__class_Odiv(X5,X4,c_Groups_Oone__class_Oone(X5)) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_div__by__1) ).
fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
! [X88] :
( class_Rings_Oidom(X88)
=> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X88)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct) ).
fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,
! [X88] :
( class_Groups_Oab__group__add(X88)
=> class_Groups_Ogroup__add(tc_Polynomial_Opoly(X88)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Polynomial__Opoly__Groups_Ogroup__add) ).
fof(fact_add__0__iff,axiom,
! [X7,X9,X5] :
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)
=> ( X9 = c_Groups_Oplus__class_Oplus(X5,X9,X7)
<=> X7 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_add__0__iff) ).
fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(fact_diff__minus__eq__add,axiom,
! [X11,X4,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,X4,c_Groups_Ouminus__class_Ouminus(X5,X11)) = c_Groups_Oplus__class_Oplus(X5,X4,X11) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_diff__minus__eq__add) ).
fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Complex__Ocomplex__Groups_Oab__group__add) ).
fof(fact_equation__minus__iff,axiom,
! [X9,X7,X5] :
( class_Groups_Ogroup__add(X5)
=> ( X7 = c_Groups_Ouminus__class_Ouminus(X5,X9)
<=> X9 = c_Groups_Ouminus__class_Ouminus(X5,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_equation__minus__iff) ).
fof(fact_diff__add__cancel,axiom,
! [X11,X4,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Oplus__class_Oplus(X5,c_Groups_Ominus__class_Ominus(X5,X4,X11),X11) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_diff__add__cancel) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X10,X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> c_Groups_Oplus__class_Oplus(X5,X4,X10) = c_Groups_Oplus__class_Oplus(X5,X10,X4) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(fact_add__diff__cancel,axiom,
! [X11,X4,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,c_Groups_Oplus__class_Oplus(X5,X4,X11),X11) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_add__diff__cancel) ).
fof(fact_dvd__eq__mod__eq__0,axiom,
! [X9,X7,X5] :
( class_Divides_Osemiring__div(X5)
=> ( c_Rings_Odvd__class_Odvd(X5,X7,X9)
<=> c_Divides_Odiv__class_Omod(X5,X9,X7) = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_dvd__eq__mod__eq__0) ).
fof(fact_mod__self,axiom,
! [X4,X5] :
( class_Divides_Osemiring__div(X5)
=> c_Divides_Odiv__class_Omod(X5,X4,X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_mod__self) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> c_Groups_Oplus__class_Oplus(X5,X4,c_Groups_Ozero__class_Ozero(X5)) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J) ).
fof(fact_monom__eq__0,axiom,
! [X24,X5] :
( class_Groups_Ozero(X5)
=> c_Polynomial_Omonom(X5,c_Groups_Ozero__class_Ozero(X5),X24) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_monom__eq__0) ).
fof(fact_leading__coeff__neq__0,axiom,
! [X14,X5] :
( class_Groups_Ozero(X5)
=> ( X14 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
=> hAPP(c_Polynomial_Ocoeff(X5,X14),c_Polynomial_Odegree(X5,X14)) != c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_leading__coeff__neq__0) ).
fof(fact_degree__pCons__0,axiom,
! [X4,X5] :
( class_Groups_Ozero(X5)
=> c_Polynomial_Odegree(X5,c_Polynomial_OpCons(X5,X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_degree__pCons__0) ).
fof(fact_assms,axiom,
c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,v_q),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_assms) ).
fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(fact_ext,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_ext) ).
fof(fact_mpoly__base__conv_I2_J,axiom,
! [X13,X10] : X10 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X10,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X13),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_mpoly__base__conv_I2_J) ).
fof(fact_coeff__0,axiom,
! [X24,X5] :
( class_Groups_Ozero(X5)
=> hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X24) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_coeff__0) ).
fof(fact_pCons__0__0,axiom,
! [X5] :
( class_Groups_Ozero(X5)
=> c_Polynomial_OpCons(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_pCons__0__0) ).
fof(fact_coeff__pCons__0,axiom,
! [X14,X4,X5] :
( class_Groups_Ozero(X5)
=> hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_OpCons(X5,X4,X14)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_coeff__pCons__0) ).
fof(fact_coeff__monom,axiom,
! [X4,X24,X28,X5] :
( class_Groups_Ozero(X5)
=> ( ( X28 = X24
=> hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Omonom(X5,X4,X28)),X24) = X4 )
& ( X28 != X24
=> hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Omonom(X5,X4,X28)),X24) = c_Groups_Ozero__class_Ozero(X5) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_coeff__monom) ).
fof(fact_smult__0__left,axiom,
! [X14,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> c_Polynomial_Osmult(X5,c_Groups_Ozero__class_Ozero(X5),X14) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_smult__0__left) ).
fof(fact_dvd__mod__iff,axiom,
! [X41,X23,X42,X5] :
( class_Divides_Osemiring__div(X5)
=> ( c_Rings_Odvd__class_Odvd(X5,X42,X23)
=> ( c_Rings_Odvd__class_Odvd(X5,X42,c_Divides_Odiv__class_Omod(X5,X41,X23))
<=> c_Rings_Odvd__class_Odvd(X5,X42,X41) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_dvd__mod__iff) ).
fof(fact_mod__pCons,axiom,
! [X13,X4,X17,X5] :
( class_Fields_Ofield(X5)
=> ( X17 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
=> c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X4,X13),X17) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X4,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X13,X17)),c_Polynomial_Osmult(X5,c_Rings_Oinverse__class_Odivide(X5,hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_OpCons(X5,X4,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X13,X17))),c_Polynomial_Odegree(X5,X17)),hAPP(c_Polynomial_Ocoeff(X5,X17),c_Polynomial_Odegree(X5,X17))),X17)) ) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_mod__pCons) ).
fof(fact_divide__zero__left,axiom,
! [X4,X5] :
( class_Rings_Odivision__ring(X5)
=> c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ozero__class_Ozero(X5),X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_divide__zero__left) ).
fof(fact_diff__0__right,axiom,
! [X4,X5] :
( class_Groups_Ogroup__add(X5)
=> c_Groups_Ominus__class_Ominus(X5,X4,c_Groups_Ozero__class_Ozero(X5)) = X4 ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_diff__0__right) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_dvd__0__right,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> c_Rings_Odvd__class_Odvd(X5,X4,c_Groups_Ozero__class_Ozero(X5)) ),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',fact_dvd__0__right) ).
fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',arity_Complex__Ocomplex__Rings_Odivision__ring) ).
fof(conj_0,conjecture,
c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),v_q)),
file('/export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p',conj_0) ).
fof(c_0_50,plain,
! [X3056] :
( ~ class_Rings_Ocomm__semiring__1(X3056)
| class_Power_Opower(tc_Polynomial_Opoly(X3056)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Power_Opower])])]) ).
fof(c_0_51,plain,
! [X270] :
( ~ class_Rings_Ocomm__semiring__1(X270)
| c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X270)) = c_Polynomial_OpCons(X270,c_Groups_Oone__class_Oone(X270),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X270))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__poly__def])])]) ).
fof(c_0_52,plain,
! [X3037] :
( ~ class_Rings_Ocomm__semiring__1(X3037)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X3037)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])])]) ).
fof(c_0_53,plain,
! [X939] :
( ~ class_Power_Opower(X939)
| c_Power_Opower__class_Opower(X939) = c_Power_Opower_Opower(X939,c_Groups_Oone__class_Oone(X939),c_Groups_Otimes__class_Otimes(X939)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__power__power])])]) ).
cnf(c_0_54,plain,
( class_Power_Opower(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
cnf(c_0_56,plain,
( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)) = c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_57,plain,
! [X990,X991,X992,X993,X994] : hAPP(hAPP(c_Power_Opower_Opower(X994,X993,X992),X991),c_Nat_OSuc(X990)) = hAPP(hAPP(X992,X991),hAPP(hAPP(c_Power_Opower_Opower(X994,X993,X992),X991),X990)),
inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__Suc]) ).
fof(c_0_58,plain,
! [X779] : c_Nat_OSuc(X779) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X779,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
fof(c_0_59,plain,
! [X766] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X766) = X766,
inference(variable_rename,[status(thm)],[fact_plus__nat_Oadd__0]) ).
fof(c_0_60,plain,
! [X986,X987,X988,X989] : hAPP(hAPP(c_Power_Opower_Opower(X989,X988,X987),X986),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X988,
inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__0]) ).
fof(c_0_61,plain,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Oone__class_Oone(X5) != c_Groups_Ozero__class_Ozero(X5) ),
inference(fof_simplification,[status(thm)],[fact_one__neq__zero]) ).
fof(c_0_62,plain,
! [X3042] :
( ~ class_Rings_Ocomm__semiring__1(X3042)
| class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X3042)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ozero__neq__one])])]) ).
fof(c_0_63,plain,
! [X706,X707] :
( ~ class_Rings_Ocomm__semiring__1(X707)
| hAPP(hAPP(c_Power_Opower__class_Opower(X707),X706),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X706 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])])]) ).
cnf(c_0_64,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_65,plain,
( c_Power_Opower__class_Opower(X1) = c_Power_Opower_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1))
| ~ class_Power_Opower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_66,plain,
class_Power_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_67,plain,
c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
cnf(c_0_68,plain,
hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Nat_OSuc(X5)) = hAPP(hAPP(X3,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_69,plain,
c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_70,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(split_conjunct,[status(thm)],[fact_bool_Osize_I1_J]) ).
cnf(c_0_72,plain,
hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_73,plain,
! [X3039] :
( ~ class_Fields_Ofield(X3039)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(X3039)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])])]) ).
fof(c_0_74,plain,
! [X281] :
( ~ class_Rings_Ozero__neq__one(X281)
| c_Groups_Oone__class_Oone(X281) != c_Groups_Ozero__class_Ozero(X281) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])]) ).
cnf(c_0_75,plain,
( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_76,plain,
! [X10,X4,X11,X5] :
( class_Divides_Osemiring__div(X5)
=> ( X11 != c_Groups_Ozero__class_Ozero(X5)
=> c_Divides_Odiv__class_Odiv(X5,c_Groups_Oplus__class_Oplus(X5,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X10),X11)),X11) = c_Groups_Oplus__class_Oplus(X5,X10,c_Divides_Odiv__class_Odiv(X5,X4,X11)) ) ),
inference(fof_simplification,[status(thm)],[fact_div__mult__self1]) ).
cnf(c_0_77,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_78,plain,
class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_64,c_0_55]) ).
cnf(c_0_79,plain,
c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Power_Opower_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_80,plain,
hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = hAPP(hAPP(X3,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5)),
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_81,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_HOL_Obool_Obool__size(c_fTrue),X1) = X1,
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,plain,
hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_HOL_Obool_Obool__size(c_fTrue)) = X2,
inference(rw,[status(thm)],[c_0_72,c_0_71]) ).
fof(c_0_83,plain,
! [X2442,X2443] :
( ~ class_Divides_Osemiring__div(X2443)
| c_Divides_Odiv__class_Odiv(X2443,X2442,c_Groups_Oone__class_Oone(X2443)) = X2442 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__by__1])])]) ).
cnf(c_0_84,plain,
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
| ~ class_Fields_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_85,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).
cnf(c_0_86,plain,
( ~ class_Rings_Ozero__neq__one(X1)
| c_Groups_Oone__class_Oone(X1) != c_Groups_Ozero__class_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,plain,
class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_75,c_0_55]) ).
fof(c_0_88,plain,
! [X3011] :
( ~ class_Rings_Oidom(X3011)
| class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X3011)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct])])]) ).
fof(c_0_89,plain,
! [X2627,X2628,X2629,X2630] :
( ~ class_Divides_Osemiring__div(X2630)
| X2629 = c_Groups_Ozero__class_Ozero(X2630)
| c_Divides_Odiv__class_Odiv(X2630,c_Groups_Oplus__class_Oplus(X2630,X2628,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2630),X2627),X2629)),X2629) = c_Groups_Oplus__class_Oplus(X2630,X2627,c_Divides_Odiv__class_Odiv(X2630,X2628,X2629)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])]) ).
cnf(c_0_90,plain,
hAPP(hAPP(c_Power_Opower_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_91,plain,
hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(hAPP(X3,X4),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_92,plain,
( c_Divides_Odiv__class_Odiv(X1,X2,c_Groups_Oone__class_Oone(X1)) = X2
| ~ class_Divides_Osemiring__div(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,plain,
class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_94,plain,
c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_95,plain,
! [X3048] :
( ~ class_Groups_Oab__group__add(X3048)
| class_Groups_Ogroup__add(tc_Polynomial_Opoly(X3048)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ogroup__add])])]) ).
fof(c_0_96,plain,
! [X322,X323,X324] :
( ( X323 != c_Groups_Oplus__class_Oplus(X324,X323,X322)
| X322 = c_Groups_Ozero__class_Ozero(X324)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X324) )
& ( X322 != c_Groups_Ozero__class_Ozero(X324)
| X323 = c_Groups_Oplus__class_Oplus(X324,X323,X322)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X324) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])])]) ).
cnf(c_0_97,plain,
( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_98,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
fof(c_0_99,plain,
! [X1234,X1235,X1236] :
( ~ class_Groups_Ogroup__add(X1236)
| c_Groups_Ominus__class_Ominus(X1236,X1235,c_Groups_Ouminus__class_Ouminus(X1236,X1234)) = c_Groups_Oplus__class_Oplus(X1236,X1235,X1234) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__minus__eq__add])])]) ).
cnf(c_0_100,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| c_Divides_Odiv__class_Odiv(X1,c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),X2) = c_Groups_Oplus__class_Oplus(X1,X4,c_Divides_Odiv__class_Odiv(X1,X3,X2))
| ~ class_Divides_Osemiring__div(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_101,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) = X1,
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,plain,
c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_67]) ).
cnf(c_0_103,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(rw,[status(thm)],[c_0_94,c_0_67]) ).
cnf(c_0_104,plain,
( class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_105,plain,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__group__add]) ).
fof(c_0_106,plain,
! [X410,X411,X412] :
( ( X411 != c_Groups_Ouminus__class_Ouminus(X412,X410)
| X410 = c_Groups_Ouminus__class_Ouminus(X412,X411)
| ~ class_Groups_Ogroup__add(X412) )
& ( X410 != c_Groups_Ouminus__class_Ouminus(X412,X411)
| X411 = c_Groups_Ouminus__class_Ouminus(X412,X410)
| ~ class_Groups_Ogroup__add(X412) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equation__minus__iff])])])]) ).
fof(c_0_107,plain,
! [X1134,X1135,X1136] :
( ~ class_Groups_Ogroup__add(X1136)
| c_Groups_Oplus__class_Oplus(X1136,c_Groups_Ominus__class_Ominus(X1136,X1135,X1134),X1134) = X1135 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])])]) ).
cnf(c_0_108,plain,
( X3 = c_Groups_Ozero__class_Ozero(X2)
| X1 != c_Groups_Oplus__class_Oplus(X2,X1,X3)
| ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_109,plain,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_110,plain,
( c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3)) = c_Groups_Oplus__class_Oplus(X1,X2,X3)
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_111,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_102]),c_0_93])]),c_0_103]) ).
cnf(c_0_112,plain,
class_Groups_Ogroup__add(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,plain,
( X3 = c_Groups_Ouminus__class_Ouminus(X2,X1)
| X1 != c_Groups_Ouminus__class_Ouminus(X2,X3)
| ~ class_Groups_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
fof(c_0_114,plain,
! [X630,X631,X632] :
( ~ class_Rings_Ocomm__semiring__1(X632)
| c_Groups_Oplus__class_Oplus(X632,X631,X630) = c_Groups_Oplus__class_Oplus(X632,X630,X631) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])])]) ).
cnf(c_0_115,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_116,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,X1) != X2 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_117,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).
cnf(c_0_118,plain,
( c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(er,[status(thm)],[c_0_113]) ).
fof(c_0_119,plain,
! [X1131,X1132,X1133] :
( ~ class_Groups_Ogroup__add(X1133)
| c_Groups_Ominus__class_Ominus(X1133,c_Groups_Oplus__class_Oplus(X1133,X1132,X1131),X1131) = X1132 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__cancel])])]) ).
cnf(c_0_120,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2),X2) = X1,
inference(spm,[status(thm)],[c_0_115,c_0_112]) ).
fof(c_0_122,plain,
! [X2151,X2152,X2153] :
( ( ~ c_Rings_Odvd__class_Odvd(X2153,X2152,X2151)
| c_Divides_Odiv__class_Omod(X2153,X2151,X2152) = c_Groups_Ozero__class_Ozero(X2153)
| ~ class_Divides_Osemiring__div(X2153) )
& ( c_Divides_Odiv__class_Omod(X2153,X2151,X2152) != c_Groups_Ozero__class_Ozero(X2153)
| c_Rings_Odvd__class_Odvd(X2153,X2152,X2151)
| ~ class_Divides_Osemiring__div(X2153) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__eq__mod__eq__0])])])]) ).
fof(c_0_123,plain,
! [X2265,X2266] :
( ~ class_Divides_Osemiring__div(X2266)
| c_Divides_Odiv__class_Omod(X2266,X2265,X2265) = c_Groups_Ozero__class_Ozero(X2266) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__self])])]) ).
cnf(c_0_124,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2)) != X2 ),
inference(rw,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_125,plain,
c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1)) = X1,
inference(spm,[status(thm)],[c_0_118,c_0_112]) ).
cnf(c_0_126,plain,
( c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_127,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,X1)) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_78])]) ).
cnf(c_0_128,plain,
( c_Divides_Odiv__class_Omod(X1,X3,X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,X2,X3)
| ~ class_Divides_Osemiring__div(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_129,plain,
! [X320,X321] :
( ~ class_Rings_Ocomm__semiring__1(X321)
| c_Groups_Oplus__class_Oplus(X321,X320,c_Groups_Ozero__class_Ozero(X321)) = X320 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])])]) ).
cnf(c_0_130,plain,
( c_Divides_Odiv__class_Omod(X1,X2,X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
fof(c_0_131,plain,
! [X213,X214] :
( ~ class_Groups_Ozero(X214)
| c_Polynomial_Omonom(X214,c_Groups_Ozero__class_Ozero(X214),X213) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X214)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monom__eq__0])])]) ).
fof(c_0_132,plain,
! [X14,X5] :
( class_Groups_Ozero(X5)
=> ( X14 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
=> hAPP(c_Polynomial_Ocoeff(X5,X14),c_Polynomial_Odegree(X5,X14)) != c_Groups_Ozero__class_Ozero(X5) ) ),
inference(fof_simplification,[status(thm)],[fact_leading__coeff__neq__0]) ).
fof(c_0_133,plain,
! [X1295,X1296] :
( ~ class_Groups_Ozero(X1296)
| c_Polynomial_Odegree(X1296,c_Polynomial_OpCons(X1296,X1295,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1296)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__pCons__0])])]) ).
cnf(c_0_134,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2) != c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_135,plain,
c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2)) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_112])]) ).
cnf(c_0_136,plain,
( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_93]) ).
cnf(c_0_137,plain,
c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,v_q),
inference(split_conjunct,[status(thm)],[fact_assms]) ).
cnf(c_0_138,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_139,plain,
c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_130,c_0_93]) ).
cnf(c_0_140,plain,
( c_Polynomial_Omonom(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_141,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
fof(c_0_142,plain,
! [X89,X90] :
( hAPP(X90,esk1_2(X89,X90)) != hAPP(X89,esk1_2(X89,X90))
| X90 = X89 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])])]) ).
fof(c_0_143,plain,
! [X155,X156] : X156 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X156,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X155),
inference(variable_rename,[status(thm)],[fact_mpoly__base__conv_I2_J]) ).
fof(c_0_144,plain,
! [X1248,X1249] :
( ~ class_Groups_Ozero(X1249)
| hAPP(c_Polynomial_Ocoeff(X1249,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1249))),X1248) = c_Groups_Ozero__class_Ozero(X1249) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__0])])]) ).
fof(c_0_145,plain,
! [X94] :
( ~ class_Groups_Ozero(X94)
| c_Polynomial_OpCons(X94,c_Groups_Ozero__class_Ozero(X94),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X94))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X94)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons__0__0])])]) ).
fof(c_0_146,plain,
! [X1101,X1102] :
( ~ class_Groups_Ozero(X1102)
| X1101 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1102))
| hAPP(c_Polynomial_Ocoeff(X1102,X1101),c_Polynomial_Odegree(X1102,X1101)) != c_Groups_Ozero__class_Ozero(X1102) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])]) ).
cnf(c_0_147,plain,
( c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_148,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2)) != X2 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_149,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_150,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_78])]) ).
fof(c_0_151,plain,
! [X1253,X1254,X1255] :
( ~ class_Groups_Ozero(X1255)
| hAPP(c_Polynomial_Ocoeff(X1255,c_Polynomial_OpCons(X1255,X1254,X1253)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1254 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__pCons__0])])]) ).
fof(c_0_152,plain,
! [X4,X24,X28,X5] :
( class_Groups_Ozero(X5)
=> ( ( X28 = X24
=> hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Omonom(X5,X4,X28)),X24) = X4 )
& ( X28 != X24
=> hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Omonom(X5,X4,X28)),X24) = c_Groups_Ozero__class_Ozero(X5) ) ) ),
inference(fof_simplification,[status(thm)],[fact_coeff__monom]) ).
cnf(c_0_153,plain,
c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_154,plain,
( X1 = X2
| hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_155,plain,
X1 = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X2),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_156,plain,
( hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_157,plain,
( c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_158,plain,
( X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Groups_Ozero(X1)
| hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2)) != c_Groups_Ozero__class_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_159,plain,
( c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))) = c_HOL_Obool_Obool__size(c_fTrue)
| ~ class_Groups_Ozero(X1) ),
inference(rw,[status(thm)],[c_0_147,c_0_71]) ).
cnf(c_0_160,plain,
( X1 = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p)
| c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2)) != X2 ),
inference(rw,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_161,plain,
c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X1),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2)) = X2,
inference(rw,[status(thm)],[c_0_150,c_0_117]) ).
cnf(c_0_162,plain,
( hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
fof(c_0_163,plain,
! [X1265,X1266,X1267,X1268] :
( ( X1267 != X1266
| hAPP(c_Polynomial_Ocoeff(X1268,c_Polynomial_Omonom(X1268,X1265,X1267)),X1266) = X1265
| ~ class_Groups_Ozero(X1268) )
& ( X1267 = X1266
| hAPP(c_Polynomial_Ocoeff(X1268,c_Polynomial_Omonom(X1268,X1265,X1267)),X1266) = c_Groups_Ozero__class_Ozero(X1268)
| ~ class_Groups_Ozero(X1268) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])])])]) ).
cnf(c_0_164,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_153]),c_0_78])]) ).
cnf(c_0_165,plain,
( X1 = c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))
| hAPP(X1,esk1_2(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1)) != X2 ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_166,plain,
hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_156,c_0_141]) ).
cnf(c_0_167,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_157,c_0_141]) ).
fof(c_0_168,plain,
! [X145,X146] :
( ~ class_Rings_Ocomm__semiring__0(X146)
| c_Polynomial_Osmult(X146,c_Groups_Ozero__class_Ozero(X146),X145) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X146)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__left])])]) ).
fof(c_0_169,plain,
! [X2354,X2355,X2356,X2357] :
( ( ~ c_Rings_Odvd__class_Odvd(X2357,X2356,c_Divides_Odiv__class_Omod(X2357,X2354,X2355))
| c_Rings_Odvd__class_Odvd(X2357,X2356,X2354)
| ~ c_Rings_Odvd__class_Odvd(X2357,X2356,X2355)
| ~ class_Divides_Osemiring__div(X2357) )
& ( ~ c_Rings_Odvd__class_Odvd(X2357,X2356,X2354)
| c_Rings_Odvd__class_Odvd(X2357,X2356,c_Divides_Odiv__class_Omod(X2357,X2354,X2355))
| ~ c_Rings_Odvd__class_Odvd(X2357,X2356,X2355)
| ~ class_Divides_Osemiring__div(X2357) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mod__iff])])])]) ).
fof(c_0_170,plain,
! [X13,X4,X17,X5] :
( class_Fields_Ofield(X5)
=> ( X17 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
=> c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X4,X13),X17) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X4,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X13,X17)),c_Polynomial_Osmult(X5,c_Rings_Oinverse__class_Odivide(X5,hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_OpCons(X5,X4,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X13,X17))),c_Polynomial_Odegree(X5,X17)),hAPP(c_Polynomial_Ocoeff(X5,X17),c_Polynomial_Odegree(X5,X17))),X17)) ) ),
inference(fof_simplification,[status(thm)],[fact_mod__pCons]) ).
cnf(c_0_171,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X1)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_158,c_0_141]) ).
cnf(c_0_172,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p))) = c_HOL_Obool_Obool__size(c_fTrue),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_149]),c_0_141])]) ).
cnf(c_0_173,plain,
c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X1) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_174,plain,
( hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X2,X3)),c_HOL_Obool_Obool__size(c_fTrue)) = X2
| ~ class_Groups_Ozero(X1) ),
inference(rw,[status(thm)],[c_0_162,c_0_71]) ).
cnf(c_0_175,plain,
( hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X4,X1)),X2) = X4
| X1 != X2
| ~ class_Groups_Ozero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_176,plain,
c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2)) = X2,
inference(rw,[status(thm)],[c_0_164,c_0_117]) ).
cnf(c_0_177,plain,
c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166])]),c_0_167]) ).
fof(c_0_178,plain,
! [X1918,X1919] :
( ~ class_Rings_Odivision__ring(X1919)
| c_Rings_Oinverse__class_Odivide(X1919,c_Groups_Ozero__class_Ozero(X1919),X1918) = c_Groups_Ozero__class_Ozero(X1919) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero__left])])]) ).
fof(c_0_179,plain,
! [X1113,X1114] :
( ~ class_Groups_Ogroup__add(X1114)
| c_Groups_Ominus__class_Ominus(X1114,X1113,c_Groups_Ozero__class_Ozero(X1114)) = X1113 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0__right])])]) ).
cnf(c_0_180,plain,
( c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_181,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
fof(c_0_182,plain,
! [X92,X93] :
( ~ class_Rings_Ocomm__semiring__1(X93)
| c_Rings_Odvd__class_Odvd(X93,X92,c_Groups_Ozero__class_Ozero(X93)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__right])])]) ).
cnf(c_0_183,plain,
( c_Rings_Odvd__class_Odvd(X1,X2,X3)
| ~ c_Rings_Odvd__class_Odvd(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4))
| ~ c_Rings_Odvd__class_Odvd(X1,X2,X4)
| ~ class_Divides_Osemiring__div(X1) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
fof(c_0_184,plain,
! [X2102,X2103,X2104,X2105] :
( ~ class_Fields_Ofield(X2105)
| X2104 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2105))
| c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X2105),c_Polynomial_OpCons(X2105,X2103,X2102),X2104) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X2105),c_Polynomial_OpCons(X2105,X2103,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X2105),X2102,X2104)),c_Polynomial_Osmult(X2105,c_Rings_Oinverse__class_Odivide(X2105,hAPP(c_Polynomial_Ocoeff(X2105,c_Polynomial_OpCons(X2105,X2103,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X2105),X2102,X2104))),c_Polynomial_Odegree(X2105,X2104)),hAPP(c_Polynomial_Ocoeff(X2105,X2104),c_Polynomial_Odegree(X2105,X2104))),X2104)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_170])])]) ).
cnf(c_0_185,plain,
( X1 = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p)
| hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X1)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(rw,[status(thm)],[c_0_171,c_0_149]) ).
cnf(c_0_186,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,X2))) = c_HOL_Obool_Obool__size(c_fTrue),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_187,plain,
hAPP(c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X1,X2)),c_HOL_Obool_Obool__size(c_fTrue)) = X1,
inference(spm,[status(thm)],[c_0_174,c_0_141]) ).
cnf(c_0_188,plain,
( hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Omonom(X1,X2,X3)),X3) = X2
| ~ class_Groups_Ozero(X1) ),
inference(er,[status(thm)],[c_0_175]) ).
cnf(c_0_189,plain,
c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p),
inference(spm,[status(thm)],[c_0_160,c_0_176]) ).
cnf(c_0_190,plain,
c_Polynomial_Ocoeff(tc_Complex_Ocomplex,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p)) = c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_149]),c_0_149]) ).
cnf(c_0_191,plain,
( c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Odivision__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_192,plain,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring]) ).
cnf(c_0_193,plain,
( c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ozero__class_Ozero(X1)) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_194,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_195,plain,
( c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Ozero__class_Ozero(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
fof(c_0_196,negated_conjecture,
~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),v_q)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_197,plain,
( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X2)
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X2,X3))
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X3) ),
inference(spm,[status(thm)],[c_0_183,c_0_93]) ).
cnf(c_0_198,plain,
( X2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X3,X4),X2) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X3,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X4,X2)),c_Polynomial_Osmult(X1,c_Rings_Oinverse__class_Odivide(X1,hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X3,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X4,X2))),c_Polynomial_Odegree(X1,X2)),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))),X2))
| ~ class_Fields_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_199,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,X1)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p),
inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187])]) ).
cnf(c_0_200,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p)),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_141])]),c_0_190]) ).
cnf(c_0_201,plain,
c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_202,plain,
c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X2)) = X1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_112])]) ).
cnf(c_0_203,plain,
c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(spm,[status(thm)],[c_0_195,c_0_78]) ).
fof(c_0_204,negated_conjecture,
~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),v_q)),
inference(fof_nnf,[status(thm)],[c_0_196]) ).
cnf(c_0_205,plain,
( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X1)
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,v_q)) ),
inference(spm,[status(thm)],[c_0_197,c_0_137]) ).
cnf(c_0_206,plain,
( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1),X1) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p)
| X1 = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p) ),
inference(cn,[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(spm,[status(thm)],[c_0_198,c_0_199]),c_0_190]),c_0_200]),c_0_201]),c_0_202]),c_0_149]),c_0_85])]) ).
cnf(c_0_207,plain,
c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p)),
inference(rw,[status(thm)],[c_0_203,c_0_149]) ).
cnf(c_0_208,negated_conjecture,
~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),v_q)),
inference(split_conjunct,[status(thm)],[c_0_204]) ).
cnf(c_0_209,plain,
c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_q,v_p) = v_q,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]),c_0_208]) ).
cnf(c_0_210,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_q,
inference(rw,[status(thm)],[c_0_149,c_0_209]) ).
cnf(c_0_211,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),v_q) = v_q,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_210]),c_0_141])]) ).
cnf(c_0_212,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_211]),c_0_137])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SWW289+1 : TPTP v8.2.0. Released v5.2.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Jun 19 09:35:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.49/0.65 Running first-order theorem proving
% 0.49/0.65 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.yMQ5GCGQBB/E---3.1_19305.p
% 152.12/19.96 # Version: 3.2.0
% 152.12/19.96 # Preprocessing class: FMLMSMSSSSSNFFN.
% 152.12/19.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 152.12/19.96 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 152.12/19.96 # Starting new_bool_3 with 300s (1) cores
% 152.12/19.96 # Starting new_bool_1 with 300s (1) cores
% 152.12/19.96 # Starting sh5l with 300s (1) cores
% 152.12/19.96 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 19383 completed with status 0
% 152.12/19.96 # Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 152.12/19.96 # Preprocessing class: FMLMSMSSSSSNFFN.
% 152.12/19.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 152.12/19.96 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 152.12/19.96 # No SInE strategy applied
% 152.12/19.96 # Search class: FGHSM-SMLM32-DFFFFFNN
% 152.12/19.96 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 152.12/19.96 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 152.12/19.96 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 152.12/19.96 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 152.12/19.96 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 152.12/19.96 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 152.12/19.96 # G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with pid 19393 completed with status 0
% 152.12/19.96 # Result found by G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN
% 152.12/19.96 # Preprocessing class: FMLMSMSSSSSNFFN.
% 152.12/19.96 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 152.12/19.96 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 1500s (5) cores
% 152.12/19.96 # No SInE strategy applied
% 152.12/19.96 # Search class: FGHSM-SMLM32-DFFFFFNN
% 152.12/19.96 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 152.12/19.96 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 152.12/19.96 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 151s (1) cores
% 152.12/19.96 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 152.12/19.96 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 152.12/19.96 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 152.12/19.96 # Preprocessing time : 0.019 s
% 152.12/19.96 # Presaturation interreduction done
% 152.12/19.96
% 152.12/19.96 # Proof found!
% 152.12/19.96 # SZS status Theorem
% 152.12/19.96 # SZS output start CNFRefutation
% See solution above
% 152.12/19.96 # Parsed axioms : 1180
% 152.12/19.96 # Removed by relevancy pruning/SinE : 0
% 152.12/19.96 # Initial clauses : 1619
% 152.12/19.96 # Removed in clause preprocessing : 76
% 152.12/19.96 # Initial clauses in saturation : 1543
% 152.12/19.96 # Processed clauses : 49241
% 152.12/19.96 # ...of these trivial : 2538
% 152.12/19.96 # ...subsumed : 33249
% 152.12/19.96 # ...remaining for further processing : 13454
% 152.12/19.96 # Other redundant clauses eliminated : 4802
% 152.12/19.96 # Clauses deleted for lack of memory : 0
% 152.12/19.96 # Backward-subsumed : 103
% 152.12/19.96 # Backward-rewritten : 1662
% 152.12/19.96 # Generated clauses : 596543
% 152.12/19.96 # ...of the previous two non-redundant : 537332
% 152.12/19.96 # ...aggressively subsumed : 0
% 152.12/19.96 # Contextual simplify-reflections : 44
% 152.12/19.96 # Paramodulations : 591092
% 152.12/19.96 # Factorizations : 423
% 152.12/19.96 # NegExts : 0
% 152.12/19.96 # Equation resolutions : 5062
% 152.12/19.96 # Disequality decompositions : 0
% 152.12/19.96 # Total rewrite steps : 489687
% 152.12/19.96 # ...of those cached : 431388
% 152.12/19.96 # Propositional unsat checks : 0
% 152.12/19.96 # Propositional check models : 0
% 152.12/19.96 # Propositional check unsatisfiable : 0
% 152.12/19.96 # Propositional clauses : 0
% 152.12/19.96 # Propositional clauses after purity: 0
% 152.12/19.96 # Propositional unsat core size : 0
% 152.12/19.96 # Propositional preprocessing time : 0.000
% 152.12/19.96 # Propositional encoding time : 0.000
% 152.12/19.96 # Propositional solver time : 0.000
% 152.12/19.96 # Success case prop preproc time : 0.000
% 152.12/19.96 # Success case prop encoding time : 0.000
% 152.12/19.96 # Success case prop solver time : 0.000
% 152.12/19.96 # Current number of processed clauses : 10246
% 152.12/19.96 # Positive orientable unit clauses : 6207
% 152.12/19.96 # Positive unorientable unit clauses: 247
% 152.12/19.96 # Negative unit clauses : 733
% 152.12/19.96 # Non-unit-clauses : 3059
% 152.12/19.96 # Current number of unprocessed clauses: 487371
% 152.12/19.96 # ...number of literals in the above : 1031771
% 152.12/19.96 # Current number of archived formulas : 0
% 152.12/19.96 # Current number of archived clauses : 3051
% 152.12/19.96 # Clause-clause subsumption calls (NU) : 1200487
% 152.12/19.96 # Rec. Clause-clause subsumption calls : 836765
% 152.12/19.96 # Non-unit clause-clause subsumptions : 8236
% 152.12/19.96 # Unit Clause-clause subsumption calls : 51105
% 152.12/19.96 # Rewrite failures with RHS unbound : 65400
% 152.12/19.96 # BW rewrite match attempts : 315926
% 152.12/19.96 # BW rewrite match successes : 2450
% 152.12/19.96 # Condensation attempts : 0
% 152.12/19.96 # Condensation successes : 0
% 152.12/19.96 # Termbank termtop insertions : 23223460
% 152.12/19.96 # Search garbage collected termcells : 20705
% 152.12/19.96
% 152.12/19.96 # -------------------------------------------------
% 152.12/19.96 # User time : 18.528 s
% 152.12/19.96 # System time : 0.430 s
% 152.12/19.96 # Total time : 18.958 s
% 152.12/19.96 # Maximum resident set size: 8416 pages
% 152.12/19.96
% 152.12/19.96 # -------------------------------------------------
% 152.12/19.96 # User time : 92.038 s
% 152.12/19.96 # System time : 2.548 s
% 152.12/19.96 # Total time : 94.586 s
% 152.12/19.96 # Maximum resident set size: 3104 pages
% 152.12/19.96 % E---3.1 exiting
% 152.12/19.96 % E exiting
%------------------------------------------------------------------------------