TSTP Solution File: SWW285+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 01:28:15 EDT 2022
% Result : Theorem 16.49s 16.79s
% Output : Refutation 16.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 84
% Syntax : Number of clauses : 100 ( 57 unt; 0 nHn; 100 RR)
% Number of literals : 143 ( 0 equ; 46 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 46 ( 45 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(88,axiom,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(89,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(90,axiom,
class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(91,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(92,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(93,axiom,
class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(94,axiom,
class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(95,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(96,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(97,axiom,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(98,axiom,
class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(99,axiom,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(100,axiom,
class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(101,axiom,
class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(102,axiom,
class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(103,axiom,
class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(104,axiom,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(105,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(106,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(107,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(108,axiom,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(109,axiom,
class_Rings_Ocomm__semiring(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(110,axiom,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(111,axiom,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(112,axiom,
class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(113,axiom,
class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(114,axiom,
class_Groups_Omonoid__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(115,axiom,
class_Rings_Osemiring__0(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(116,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(117,axiom,
class_Rings_Omult__zero(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(118,axiom,
class_Rings_Ocomm__ring(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(119,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(120,axiom,
class_Rings_Osemiring(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(121,axiom,
class_Rings_Oring__1(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(122,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(123,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(124,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(125,axiom,
class_Rings_Oring(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(126,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(127,axiom,
class_Groups_Oone(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(128,axiom,
class_Rings_Odvd(tc_Complex_Ocomplex),
file('SWW285+1.p',unknown),
[] ).
cnf(135,axiom,
equal(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),
file('SWW285+1.p',unknown),
[] ).
cnf(141,axiom,
equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_HOL_Obool_Obool__size(c_fTrue)),
file('SWW285+1.p',unknown),
[] ).
cnf(142,axiom,
equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_HOL_Obool_Obool__size(c_fFalse)),
file('SWW285+1.p',unknown),
[] ).
cnf(164,axiom,
( ~ class_Groups_Ocancel__comm__monoid__add(u)
| class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(165,axiom,
( ~ class_Rings_Oidom(u)
| class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(173,axiom,
( ~ class_Groups_Ocancel__comm__monoid__add(u)
| class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(174,axiom,
( ~ class_Rings_Oidom(u)
| class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(177,axiom,
( ~ class_Rings_Oidom(u)
| class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ class_Groups_Ocancel__comm__monoid__add(u)
| class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ class_Rings_Ocomm__semiring__0(u)
| class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(184,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(185,axiom,
( ~ class_Groups_Ocomm__monoid__add(u)
| class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(187,axiom,
( ~ class_Rings_Oidom(u)
| class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(188,axiom,
( ~ class_Groups_Ocomm__monoid__add(u)
| class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(191,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(192,axiom,
( ~ class_Rings_Ocomm__semiring__0(u)
| class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(193,axiom,
( ~ class_Fields_Ofield(u)
| class_Divides_Osemiring__div(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ class_Rings_Ocomm__semiring__0(u)
| class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ class_Groups_Oab__group__add(u)
| class_Groups_Oab__group__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(196,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(198,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| class_Groups_Omonoid__mult(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(199,axiom,
( ~ class_Rings_Ocomm__ring__1(u)
| class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ class_Groups_Ocomm__monoid__add(u)
| class_Groups_Omonoid__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(201,axiom,
( ~ class_Rings_Ocomm__semiring__0(u)
| class_Rings_Osemiring__0(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(202,axiom,
( ~ class_Groups_Oab__group__add(u)
| class_Groups_Ogroup__add(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(203,axiom,
( ~ class_Fields_Ofield(u)
| class_Divides_Oring__div(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ class_Rings_Ocomm__semiring__0(u)
| class_Rings_Omult__zero(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ class_Rings_Ocomm__ring(u)
| class_Rings_Ocomm__ring(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(207,axiom,
( ~ class_Rings_Ocomm__semiring__0(u)
| class_Rings_Osemiring(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ class_Rings_Ocomm__ring__1(u)
| class_Rings_Oring__1(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(210,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| class_Power_Opower(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ class_Groups_Ozero(u)
| class_Groups_Ozero(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ class_Rings_Ocomm__ring(u)
| class_Rings_Oring(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(213,axiom,
( ~ class_Rings_Oidom(u)
| class_Rings_Oidom(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(214,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| class_Groups_Oone(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(215,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| class_Rings_Odvd(tc_Polynomial_Opoly(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(260,axiom,
( ~ class_Rings_Ozero__neq__one(u)
| ~ equal(c_Groups_Ozero__class_Ozero(u),c_Groups_Oone__class_Oone(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(321,axiom,
( ~ class_Groups_Ozero(u)
| equal(c_Polynomial_Odegree(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(427,axiom,
( ~ class_Rings_Omult__zero(u)
| equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(u),c_Groups_Ozero__class_Ozero(u)),v),c_Groups_Ozero__class_Ozero(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(453,axiom,
( ~ class_Power_Opower(u)
| equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Oone__class_Oone(u)) ),
file('SWW285+1.p',unknown),
[] ).
cnf(731,axiom,
equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),v_r____)),
file('SWW285+1.p',unknown),
[] ).
cnf(737,axiom,
equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),skc3)),
file('SWW285+1.p',unknown),
[] ).
cnf(1565,plain,
equal(c_HOL_Obool_Obool__size(c_fFalse),c_HOL_Obool_Obool__size(c_fTrue)),
inference(rew,[status(thm),theory(equality)],[142,141]),
[iquote('0:Rew:142.0,141.0')] ).
cnf(1566,plain,
equal(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_HOL_Obool_Obool__size(c_fTrue)),
inference(rew,[status(thm),theory(equality)],[1565,142]),
[iquote('0:Rew:1565.0,142.0')] ).
cnf(1609,plain,
( ~ class_Groups_Ozero(u)
| equal(c_Polynomial_Odegree(u,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(u))),c_HOL_Obool_Obool__size(c_fTrue)) ),
inference(rew,[status(thm),theory(equality)],[1566,321]),
[iquote('0:Rew:1566.0,321.1')] ).
cnf(1621,plain,
( ~ class_Power_Opower(u)
| equal(hAPP(hAPP(c_Power_Opower__class_Opower(u),v),c_HOL_Obool_Obool__size(c_fTrue)),c_Groups_Oone__class_Oone(u)) ),
inference(rew,[status(thm),theory(equality)],[1566,453]),
[iquote('0:Rew:1566.0,453.1')] ).
cnf(1681,plain,
equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),skc3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),v_r____)),
inference(rew,[status(thm),theory(equality)],[737,731]),
[iquote('0:Rew:737.0,731.0')] ).
cnf(1682,plain,
equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),v_r____)),
inference(rew,[status(thm),theory(equality)],[1681,737]),
[iquote('0:Rew:1681.0,737.0')] ).
cnf(2043,plain,
( ~ class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ equal(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v) ),
inference(spl,[status(thm),theory(equality)],[135,260]),
[iquote('0:SpL:135.0,260.1')] ).
cnf(2045,plain,
~ equal(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),
inference(ssi,[status(thm)],[2043,173,107,91,89,127,121,120,119,109,102,100,95,93,114,97,96,111,103,101,94,1,117,98,125,115,128,92,88,112,90,123,118,113,104,99,110,116,108,126,124,106,105,122,209,185,207,194,183,214,200,177,164,187,174,196,184,180,204,212,201,203,165,215,198,205,210,199,188,195,202,213,211,192,193,191]),
[iquote('0:SSi:2043.0,173.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,209.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,185.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,207.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,194.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,183.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,214.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,200.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,177.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,164.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,187.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,174.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,196.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,184.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,180.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,204.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,212.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,201.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,203.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,165.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,215.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,10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).
cnf(4678,plain,
( ~ class_Groups_Ozero(tc_Complex_Ocomplex)
| equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_HOL_Obool_Obool__size(c_fTrue)) ),
inference(spr,[status(thm),theory(equality)],[135,1609]),
[iquote('0:SpR:135.0,1609.1')] ).
cnf(4679,plain,
equal(c_Polynomial_Odegree(tc_Complex_Ocomplex,v),c_HOL_Obool_Obool__size(c_fTrue)),
inference(ssi,[status(thm)],[4678,107,91,89,127,121,120,119,109,102,100,95,93,114,97,96,111,103,101,94,1,117,98,125,115,128,92,88,112,90,123,118,113,104,99,110,116,108,126,124,106,105,122]),
[iquote('0:SSi:4678.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.0')] ).
cnf(26268,plain,
( ~ class_Rings_Omult__zero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),u),v) ),
inference(spr,[status(thm),theory(equality)],[135,427]),
[iquote('0:SpR:135.0,427.1')] ).
cnf(26279,plain,
equal(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),u),v),
inference(ssi,[status(thm)],[26268,173,107,91,89,127,121,120,119,109,102,100,95,93,114,97,96,111,103,101,94,1,117,98,125,115,128,92,88,112,90,123,118,113,104,99,110,116,108,126,124,106,105,122,209,185,207,194,183,214,200,177,164,187,174,196,184,180,204,212,201,203,165,215,198,205,210,199,188,195,202,213,211,192,193,191]),
[iquote('0:SSi:26268.0,173.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,209.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,185.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,207.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,194.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,183.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,214.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,200.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,177.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,164.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,187.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,174.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,196.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,184.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,180.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,204.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,212.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,201.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,203.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,165.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,215.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,1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).
cnf(26312,plain,
equal(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_HOL_Obool_Obool__size(c_fTrue)),v),
inference(rew,[status(thm),theory(equality)],[4679,1682,26279]),
[iquote('0:Rew:4679.0,1682.0,26279.0,1682.0')] ).
cnf(26317,plain,
( ~ class_Power_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| equal(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v) ),
inference(spr,[status(thm),theory(equality)],[26312,1621]),
[iquote('0:SpR:26312.0,1621.1')] ).
cnf(26326,plain,
equal(c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v),
inference(ssi,[status(thm)],[26317,173,107,91,89,127,121,120,119,109,102,100,95,93,114,97,96,111,103,101,94,1,117,98,125,115,128,92,88,112,90,123,118,113,104,99,110,116,108,126,124,106,105,122,209,185,207,194,183,214,200,177,164,187,174,196,184,180,204,212,201,203,165,215,198,205,210,199,188,195,202,213,211,192,193,191]),
[iquote('0:SSi:26317.0,173.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,209.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,185.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,207.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,194.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,183.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,214.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,200.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,177.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,164.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,187.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,174.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,196.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,184.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,180.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,204.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,212.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,201.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,203.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,165.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,215.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,198.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,205.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,210.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,199.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,188.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,195.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,202.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,213.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,211.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,192.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,193.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1,191.0,107.0,91.0,89.0,127.0,121.0,120.0,119.0,109.0,102.0,100.0,95.0,93.0,114.0,97.0,96.0,111.0,103.0,101.0,94.0,1.0,117.0,98.0,125.0,115.0,128.0,92.0,88.0,112.0,90.0,123.0,118.0,113.0,104.0,99.0,110.0,116.0,108.0,126.0,124.0,106.0,105.0,122.1')] ).
cnf(26327,plain,
$false,
inference(mrr,[status(thm)],[26326,2045]),
[iquote('0:MRR:26326.0,2045.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 11:37:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.49/16.79
% 16.49/16.79 SPASS V 3.9
% 16.49/16.79 SPASS beiseite: Proof found.
% 16.49/16.79 % SZS status Theorem
% 16.49/16.79 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.49/16.79 SPASS derived 18840 clauses, backtracked 5 clauses, performed 1 splits and kept 5576 clauses.
% 16.49/16.79 SPASS allocated 114537 KBytes.
% 16.49/16.79 SPASS spent 0:0:16.42 on the problem.
% 16.49/16.79 0:00:00.06 for the input.
% 16.49/16.79 0:00:00.77 for the FLOTTER CNF translation.
% 16.49/16.79 0:00:00.36 for inferences.
% 16.49/16.79 0:00:00.00 for the backtracking.
% 16.49/16.79 0:0:14.85 for the reduction.
% 16.49/16.79
% 16.49/16.79
% 16.49/16.79 Here is a proof with depth 1, length 100 :
% 16.49/16.79 % SZS output start Refutation
% See solution above
% 16.78/17.02 Formulae used in the proof : arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors arity_Complex__Ocomplex__RealVector_Oreal__normed__vector arity_Complex__Ocomplex__RealVector_Oreal__normed__field arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add arity_Complex__Ocomplex__Fields_Ofield__inverse__zero arity_Complex__Ocomplex__Groups_Oab__semigroup__mult arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult arity_Complex__Ocomplex__Groups_Oab__semigroup__add arity_Complex__Ocomplex__Rings_Ono__zero__divisors arity_Complex__Ocomplex__Groups_Ocomm__monoid__add arity_Complex__Ocomplex__Rings_Ocomm__semiring__1 arity_Complex__Ocomplex__Rings_Ocomm__semiring__0 arity_Complex__Ocomplex__RealVector_Oreal__field arity_Complex__Ocomplex__Rings_Odivision__ring arity_Complex__Ocomplex__Rings_Ocomm__semiring arity_Complex__Ocomplex__Groups_Oab__group__add arity_Complex__Ocomplex__Rings_Ozero__neq__one arity_Complex__Ocomplex__Groups_Omonoid__mult arity_Complex__Ocomplex__Rings_Ocomm__ring__1 arity_Complex__Ocomplex__Groups_Omonoid__add arity_Complex__Ocomplex__Rings_Osemiring__0 arity_Complex__Ocomplex__Groups_Ogroup__add arity_Complex__Ocomplex__Rings_Omult__zero arity_Complex__Ocomplex__Rings_Ocomm__ring arity_Complex__Ocomplex__Int_Oring__char__0 arity_Complex__Ocomplex__Rings_Osemiring arity_Complex__Ocomplex__Rings_Oring__1 arity_Complex__Ocomplex__Fields_Ofield arity_Complex__Ocomplex__Power_Opower arity_Complex__Ocomplex__Groups_Ozero arity_Complex__Ocomplex__Rings_Oring arity_Complex__Ocomplex__Rings_Oidom arity_Complex__Ocomplex__Groups_Oone arity_Complex__Ocomplex__Rings_Odvd fact_pe fact_bool_Osize_I1_J fact_bool_Osize_I2_J arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add arity_Polynomial__Opoly__Groups_Oab__semigroup__mult arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult arity_Polynomial__Opoly__Groups_Oab__semigroup__add arity_Polynomial__Opoly__Rings_Ono__zero__divisors arity_Polynomial__Opoly__Groups_Ocomm__monoid__add arity_Polynomial__Opoly__Rings_Ocomm__semiring__1 arity_Polynomial__Opoly__Rings_Ocomm__semiring__0 arity_Polynomial__Opoly__Divides_Osemiring__div arity_Polynomial__Opoly__Rings_Ocomm__semiring arity_Polynomial__Opoly__Groups_Oab__group__add arity_Polynomial__Opoly__Rings_Ozero__neq__one arity_Polynomial__Opoly__Groups_Omonoid__mult arity_Polynomial__Opoly__Rings_Ocomm__ring__1 arity_Polynomial__Opoly__Groups_Omonoid__add arity_Polynomial__Opoly__Rings_Osemiring__0 arity_Polynomial__Opoly__Groups_Ogroup__add arity_Polynomial__Opoly__Divides_Oring__div arity_Polynomial__Opoly__Rings_Omult__zero arity_Polynomial__Opoly__Rings_Ocomm__ring arity_Polynomial__Opoly__Rings_Osemiring arity_Polynomial__Opoly__Rings_Oring__1 arity_Polynomial__Opoly__Power_Opower arity_Polynomial__Opoly__Groups_Ozero arity_Polynomial__Opoly__Rings_Oring arity_Polynomial__Opoly__Rings_Oidom arity_Polynomial__Opoly__Groups_Oone arity_Polynomial__Opoly__Rings_Odvd fact_one__neq__zero fact_degree__0 fact_mult__zero__left fact_power__0 fact_r fact__096_B_Bthesis_O_A_I_B_Br_O_Aq_A_094_Adegree_Ap_A_061_Ap_A_K_Ar_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096
% 16.78/17.02
%------------------------------------------------------------------------------