TSTP Solution File: ALG368-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG368-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 14 18:03:30 EDT 2022
% Result : Unsatisfiable 183.25s 183.46s
% Output : Refutation 186.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 51
% Syntax : Number of clauses : 72 ( 55 unt; 0 nHn; 72 RR)
% Number of literals : 91 ( 0 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 44 ( 43 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(325,axiom,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
file('ALG368-1.p',unknown),
[] ).
cnf(326,axiom,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(c_Transcendental_Opi)),
file('ALG368-1.p',unknown),
[] ).
cnf(582,axiom,
( ~ class_RealVector_Ometric__space(u)
| equal(c_RealVector_Odist__class_Odist(v,v,u),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
file('ALG368-1.p',unknown),
[] ).
cnf(720,axiom,
( ~ class_RealVector_Ometric__space(u)
| equal(c_RealVector_Odist__class_Odist(v,w,u),c_RealVector_Odist__class_Odist(w,v,u)) ),
file('ALG368-1.p',unknown),
[] ).
cnf(807,axiom,
equal(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(u,v,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Odist__class_Odist(u,v,tc_Complex_Ocomplex)),
file('ALG368-1.p',unknown),
[] ).
cnf(823,axiom,
( ~ class_Ring__and__Field_Oidom(u)
| equal(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),v,u),c_HOL_Ozero__class_Ozero(u)) ),
file('ALG368-1.p',unknown),
[] ).
cnf(836,axiom,
( ~ class_OrderedGroup_Ogroup__add(u)
| equal(c_HOL_Ominus__class_Ominus(v,c_HOL_Ozero__class_Ozero(u),u),v) ),
file('ALG368-1.p',unknown),
[] ).
cnf(848,axiom,
( ~ class_RealVector_Oreal__normed__vector(u)
| equal(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v,w,u),u),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(w,v,u),u)) ),
file('ALG368-1.p',unknown),
[] ).
cnf(849,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_e,tc_RealDef_Oreal),
file('ALG368-1.p',unknown),
[] ).
cnf(852,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(853,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(955,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(956,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(957,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(958,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(959,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(960,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(961,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(962,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(963,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(964,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(965,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(966,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(967,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(968,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(969,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(970,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(971,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(972,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(973,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(974,axiom,
class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(975,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(976,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(977,axiom,
class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(978,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(979,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(980,axiom,
class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(981,axiom,
class_RealVector_Ometric__space(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(982,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(983,axiom,
class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(984,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(985,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(986,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(987,axiom,
class_RealVector_Odist__norm(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(988,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(989,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(990,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(991,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(992,axiom,
class_SEQ_Obanach(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(993,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('ALG368-1.p',unknown),
[] ).
cnf(1044,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,u),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),u,tc_RealDef_Oreal) ),
file('ALG368-1.p',unknown),
[] ).
cnf(1045,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Otan(c_Transcendental_Opi),v_e,tc_RealDef_Oreal),
inference(rew,[status(thm),theory(equality)],[326,849]),
[iquote('0:Rew:326.0,849.0')] ).
cnf(1052,plain,
equal(c_Transcendental_Otan(c_Transcendental_Opi),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[326,325]),
[iquote('0:Rew:326.0,325.0')] ).
cnf(1053,plain,
equal(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(rew,[status(thm),theory(equality)],[1052,326]),
[iquote('0:Rew:1052.0,326.0')] ).
cnf(1054,plain,
c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),v_e,tc_RealDef_Oreal),
inference(rew,[status(thm),theory(equality)],[1052,1045]),
[iquote('0:Rew:1052.0,1045.0')] ).
cnf(1089,plain,
( ~ class_RealVector_Ometric__space(u)
| equal(c_RealVector_Odist__class_Odist(v,v,u),c_Transcendental_Osin(c_Transcendental_Opi)) ),
inference(rew,[status(thm),theory(equality)],[1053,582]),
[iquote('0:Rew:1053.0,582.1')] ).
cnf(1240,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),u,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,u),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal) ),
inference(rew,[status(thm),theory(equality)],[1053,1044,807]),
[iquote('0:Rew:1053.0,1044.1,807.0,1044.0')] ).
cnf(1682,plain,
( ~ class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| equal(c_RealVector_Odist__class_Odist(u,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(u,tc_Complex_Ocomplex)) ),
inference(spr,[status(thm),theory(equality)],[836,807]),
[iquote('0:SpR:836.1,807.0')] ).
cnf(1687,plain,
equal(c_RealVector_Odist__class_Odist(u,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(u,tc_Complex_Ocomplex)),
inference(ssi,[status(thm)],[1682,987,985,974,980,955,991,988,979,970,969,966,960,958,957,853,992,982,973,968,961,959,956,976,852,984,978,977,990,981,971,983,975,993,972,989,964,986,965,963,967,962]),
[iquote('0:SSi:1682.0,987.0,985.0,974.0,980.0,955.0,991.0,988.0,979.0,970.0,969.0,966.0,960.0,958.0,957.0,853.0,992.0,982.0,973.0,968.0,961.0,959.0,956.0,976.0,852.0,984.0,978.0,977.0,990.0,981.0,971.0,983.0,975.0,993.0,972.0,989.0,964.0,986.0,965.0,963.0,967.0,962.0')] ).
cnf(1692,plain,
( ~ class_RealVector_Ometric__space(tc_Complex_Ocomplex)
| equal(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Transcendental_Osin(c_Transcendental_Opi)) ),
inference(spr,[status(thm),theory(equality)],[1687,1089]),
[iquote('0:SpR:1687.0,1089.1')] ).
cnf(1694,plain,
equal(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Transcendental_Osin(c_Transcendental_Opi)),
inference(ssi,[status(thm)],[1692,987,985,974,980,955,991,988,979,970,969,966,960,958,957,853,992,982,973,968,961,959,956,976,852,984,978,977,990,981,971,983,975,993,972,989,964,986,965,963,967,962]),
[iquote('0:SSi:1692.0,987.0,985.0,974.0,980.0,955.0,991.0,988.0,979.0,970.0,969.0,966.0,960.0,958.0,957.0,853.0,992.0,982.0,973.0,968.0,961.0,959.0,956.0,976.0,852.0,984.0,978.0,977.0,990.0,981.0,971.0,983.0,975.0,993.0,972.0,989.0,964.0,986.0,965.0,963.0,967.0,962.0')] ).
cnf(3594,plain,
( ~ class_RealVector_Ometric__space(tc_Complex_Ocomplex)
| equal(c_RealVector_Odist__class_Odist(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),u,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(u,tc_Complex_Ocomplex)) ),
inference(spr,[status(thm),theory(equality)],[720,1687]),
[iquote('0:SpR:720.1,1687.0')] ).
cnf(3633,plain,
equal(c_RealVector_Odist__class_Odist(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),u,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(u,tc_Complex_Ocomplex)),
inference(ssi,[status(thm)],[3594,987,985,974,980,955,991,988,979,970,969,966,960,958,957,853,992,982,973,968,961,959,956,976,852,984,978,977,990,981,971,983,975,993,972,989,964,986,965,963,967,962]),
[iquote('0:SSi:3594.0,987.0,985.0,974.0,980.0,955.0,991.0,988.0,979.0,970.0,969.0,966.0,960.0,958.0,957.0,853.0,992.0,982.0,973.0,968.0,961.0,959.0,956.0,976.0,852.0,984.0,978.0,977.0,990.0,981.0,971.0,983.0,975.0,993.0,972.0,989.0,964.0,986.0,965.0,963.0,967.0,962.0')] ).
cnf(13645,plain,
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| equal(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(u,v,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Odist__class_Odist(v,u,tc_Complex_Ocomplex)) ),
inference(spr,[status(thm),theory(equality)],[848,807]),
[iquote('0:SpR:848.1,807.0')] ).
cnf(13726,plain,
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| equal(c_RealVector_Odist__class_Odist(u,v,tc_Complex_Ocomplex),c_RealVector_Odist__class_Odist(v,u,tc_Complex_Ocomplex)) ),
inference(rew,[status(thm),theory(equality)],[807,13645]),
[iquote('0:Rew:807.0,13645.1')] ).
cnf(13727,plain,
equal(c_RealVector_Odist__class_Odist(u,v,tc_Complex_Ocomplex),c_RealVector_Odist__class_Odist(v,u,tc_Complex_Ocomplex)),
inference(ssi,[status(thm)],[13726,987,985,974,980,955,991,988,979,970,969,966,960,958,957,853,992,982,973,968,961,959,956,976,852,984,978,977,990,981,971,983,975,993,972,989,964,986,965,963,967,962]),
[iquote('0:SSi:13726.0,987.0,985.0,974.0,980.0,955.0,991.0,988.0,979.0,970.0,969.0,966.0,960.0,958.0,957.0,853.0,992.0,982.0,973.0,968.0,961.0,959.0,956.0,976.0,852.0,984.0,978.0,977.0,990.0,981.0,971.0,983.0,975.0,993.0,972.0,989.0,964.0,986.0,965.0,963.0,967.0,962.0')] ).
cnf(13748,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),u,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(v_z,v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,u),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal) ),
inference(rew,[status(thm),theory(equality)],[13727,1240]),
[iquote('0:Rew:13727.0,1240.1')] ).
cnf(100381,plain,
( ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),u,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Odist__class_Odist(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_HOL_Ominus__class_Ominus(hAPP(v_x,u),v_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_e,tc_RealDef_Oreal) ),
inference(spl,[status(thm),theory(equality)],[823,13748]),
[iquote('0:SpL:823.1,13748.1')] ).
cnf(100466,plain,
( ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),u,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),v_e,tc_RealDef_Oreal) ),
inference(rew,[status(thm),theory(equality)],[1694,100381,823,3633]),
[iquote('0:Rew:1694.0,100381.2,823.1,100381.2,3633.0,100381.2')] ).
cnf(100467,plain,
( ~ class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),v_e,tc_RealDef_Oreal) ),
inference(con,[status(thm)],[100466]),
[iquote('0:Con:100466.1')] ).
cnf(100468,plain,
~ c_HOL_Oord__class_Oless(c_Transcendental_Osin(c_Transcendental_Opi),v_e,tc_RealDef_Oreal),
inference(ssi,[status(thm)],[100467,987,985,974,980,955,991,988,979,970,969,966,960,958,957,853,992,982,973,968,961,959,956,976,852,984,978,977,990,981,971,983,975,993,972,989,964,986,965,963,967,962]),
[iquote('0:SSi:100467.0,987.0,985.0,974.0,980.0,955.0,991.0,988.0,979.0,970.0,969.0,966.0,960.0,958.0,957.0,853.0,992.0,982.0,973.0,968.0,961.0,959.0,956.0,976.0,852.0,984.0,978.0,977.0,990.0,981.0,971.0,983.0,975.0,993.0,972.0,989.0,964.0,986.0,965.0,963.0,967.0,962.0')] ).
cnf(100469,plain,
$false,
inference(mrr,[status(thm)],[100468,1054]),
[iquote('0:MRR:100468.0,1054.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG368-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 19:15:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 183.25/183.46
% 183.25/183.46 SPASS V 3.9
% 183.25/183.46 SPASS beiseite: Proof found.
% 183.25/183.46 % SZS status Theorem
% 183.25/183.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 183.25/183.46 SPASS derived 72772 clauses, backtracked 662 clauses, performed 16 splits and kept 29004 clauses.
% 183.25/183.46 SPASS allocated 177120 KBytes.
% 183.25/183.46 SPASS spent 0:03:02.90 on the problem.
% 183.25/183.46 0:00:00.08 for the input.
% 183.25/183.46 0:00:00.00 for the FLOTTER CNF translation.
% 183.25/183.46 0:00:01.47 for inferences.
% 183.25/183.46 0:00:07.98 for the backtracking.
% 183.25/183.46 0:2:51.11 for the reduction.
% 183.25/183.46
% 183.25/183.46
% 183.25/183.46 Here is a proof with depth 2, length 72 :
% 183.25/183.46 % SZS output start Refutation
% See solution above
% 186.96/187.18 Formulae used in the proof : cls_sin__pi_0 cls_tan__pi_0 cls_dist__self_0 cls_dist__commute_0 cls_dist__complex__def_0 cls_order__root_1 cls_diff__0__right_0 cls_norm__minus__commute_0 cls_CHAINED_0 clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1 clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1 clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1 clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0 clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1 clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring clsarity_Complex__Ocomplex__RealVector_Oreal__algebra clsarity_Complex__Ocomplex__RealVector_Ometric__space clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add clsarity_Complex__Ocomplex__RealVector_Oreal__vector clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add clsarity_Complex__Ocomplex__RealVector_Oreal__field clsarity_Complex__Ocomplex__Ring__and__Field_Ofield clsarity_Complex__Ocomplex__RealVector_Odist__norm clsarity_Complex__Ocomplex__Ring__and__Field_Oring clsarity_Complex__Ocomplex__Ring__and__Field_Oidom clsarity_Complex__Ocomplex__Int_Onumber__ring clsarity_Complex__Ocomplex__Power_Opower clsarity_Complex__Ocomplex__SEQ_Obanach clsarity_Complex__Ocomplex__HOL_Ozero cls_conjecture_2
% 186.96/187.18
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