TSTP Solution File: SWV629-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 : Wed Jul 20 21:44:37 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of clauses : 30 ( 28 unt; 0 nHn; 30 RR)
% Number of literals : 32 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(311,axiom,
( ~ class_OrderedGroup_Omonoid__mult(u)
| equal(c_Power_Opower__class_Opower(v,c_HOL_Oone__class_Oone(tc_nat),u),v) ),
file('SWV629-1.p',unknown),
[] ).
cnf(334,axiom,
equal(c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(u),u,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
file('SWV629-1.p',unknown),
[] ).
cnf(365,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(366,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(367,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(368,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(369,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(370,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(371,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(372,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(373,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(374,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(375,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(376,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(377,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(378,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(379,axiom,
class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(380,axiom,
class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(381,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(382,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(383,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(384,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(385,axiom,
class_Nat_Osemiring__char__0(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(386,axiom,
class_Ring__and__Field_Odvd(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(387,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(388,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('SWV629-1.p',unknown),
[] ).
cnf(389,axiom,
~ equal(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
file('SWV629-1.p',unknown),
[] ).
cnf(735,plain,
( ~ class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)
| equal(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) ),
inference(spr,[status(thm),theory(equality)],[311,334]),
[iquote('0:SpR:311.1,334.0')] ).
cnf(737,plain,
equal(c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
inference(ssi,[status(thm)],[735,387,377,368,367,365,386,380,374,373,372,385,375,366,378,369,388,381,384,382,379,376,370,383,371]),
[iquote('0:SSi:735.0,387.0,377.0,368.0,367.0,365.0,386.0,380.0,374.0,373.0,372.0,385.0,375.0,366.0,378.0,369.0,388.0,381.0,384.0,382.0,379.0,376.0,370.0,383.0,371.0')] ).
cnf(738,plain,
$false,
inference(mrr,[status(thm)],[737,389]),
[iquote('0:MRR:737.0,389.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV629-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 19:30:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48
% 0.20/0.48 SPASS V 3.9
% 0.20/0.48 SPASS beiseite: Proof found.
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 SPASS derived 301 clauses, backtracked 0 clauses, performed 0 splits and kept 320 clauses.
% 0.20/0.48 SPASS allocated 76269 KBytes.
% 0.20/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.48 0:00:00.04 for the input.
% 0.20/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.48 0:00:00.00 for inferences.
% 0.20/0.48 0:00:00.00 for the backtracking.
% 0.20/0.48 0:00:00.04 for the reduction.
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 Here is a proof with depth 1, length 30 :
% 0.20/0.48 % SZS output start Refutation
% See solution above
% 0.20/0.48 Formulae used in the proof : cls_power__one__right_0 cls_root__unity_0 clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra 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__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__Ring__and__Field_Odivision__ring clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1 clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0 clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult clsarity_Complex__Ocomplex__Ring__and__Field_Ofield clsarity_Complex__Ocomplex__Ring__and__Field_Oidom clsarity_Complex__Ocomplex__Nat_Osemiring__char__0 clsarity_Complex__Ocomplex__Ring__and__Field_Odvd clsarity_Complex__Ocomplex__Int_Onumber__ring clsarity_Complex__Ocomplex__Power_Opower cls_conjecture_0
% 0.20/0.48
%------------------------------------------------------------------------------