TSTP Solution File: ALG417-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG417-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 18:03:37 EDT 2022
% Result : Unsatisfiable 0.41s 0.59s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 46
% Syntax : Number of clauses : 50 ( 47 unt; 0 nHn; 50 RR)
% Number of literals : 53 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 44 ( 43 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(227,axiom,
( ~ class_HOL_Ozero(u)
| equal(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(u),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(u)),u),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(u))) ),
file('ALG417-1.p',unknown),
[] ).
cnf(408,axiom,
equal(c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_s____),
file('ALG417-1.p',unknown),
[] ).
cnf(409,axiom,
~ equal(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),
file('ALG417-1.p',unknown),
[] ).
cnf(412,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(413,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(464,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(465,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(466,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(467,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(468,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(469,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(470,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(471,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(472,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(473,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(474,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(475,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(476,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(477,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(478,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(479,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(480,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(481,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(482,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(483,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(484,axiom,
class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(485,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(486,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(487,axiom,
class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(488,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(489,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(490,axiom,
class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(491,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(492,axiom,
class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(493,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(494,axiom,
class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(495,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(496,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(497,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(498,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(499,axiom,
class_Ring__and__Field_Odvd(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(500,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(501,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(502,axiom,
class_SEQ_Obanach(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(503,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('ALG417-1.p',unknown),
[] ).
cnf(539,axiom,
equal(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),v_k____),
file('ALG417-1.p',unknown),
[] ).
cnf(1924,plain,
( ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| equal(c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
inference(spr,[status(thm),theory(equality)],[539,227]),
[iquote('0:SpR:539.0,227.1')] ).
cnf(1925,plain,
( ~ class_HOL_Ozero(tc_Complex_Ocomplex)
| equal(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____) ),
inference(rew,[status(thm),theory(equality)],[408,1924]),
[iquote('0:Rew:408.0,1924.1')] ).
cnf(1926,plain,
equal(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),
inference(ssi,[status(thm)],[1925,495,469,467,501,494,490,489,479,477,474,464,491,482,476,470,466,499,486,484,465,412,502,488,487,468,497,413,492,475,503,483,481,480,473,485,500,478,493,471,498,496,472]),
[iquote('0:SSi:1925.0,495.0,469.0,467.0,501.0,494.0,490.0,489.0,479.0,477.0,474.0,464.0,491.0,482.0,476.0,470.0,466.0,499.0,486.0,484.0,465.0,412.0,502.0,488.0,487.0,468.0,497.0,413.0,492.0,475.0,503.0,483.0,481.0,480.0,473.0,485.0,500.0,478.0,493.0,471.0,498.0,496.0,472.0')] ).
cnf(1927,plain,
$false,
inference(mrr,[status(thm)],[1926,409]),
[iquote('0:MRR:1926.0,409.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG417-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 8 07:45:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.41/0.59
% 0.41/0.59 SPASS V 3.9
% 0.41/0.59 SPASS beiseite: Proof found.
% 0.41/0.59 % SZS status Theorem
% 0.41/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.59 SPASS derived 1109 clauses, backtracked 0 clauses, performed 0 splits and kept 639 clauses.
% 0.41/0.59 SPASS allocated 77375 KBytes.
% 0.41/0.59 SPASS spent 0:00:00.23 on the problem.
% 0.41/0.59 0:00:00.05 for the input.
% 0.41/0.59 0:00:00.00 for the FLOTTER CNF translation.
% 0.41/0.59 0:00:00.01 for inferences.
% 0.41/0.59 0:00:00.00 for the backtracking.
% 0.41/0.59 0:00:00.11 for the reduction.
% 0.41/0.59
% 0.41/0.59
% 0.41/0.59 Here is a proof with depth 1, length 50 :
% 0.41/0.59 % SZS output start Refutation
% See solution above
% 0.41/0.59 Formulae used in the proof : cls_pCons__0__0_0 cls_CHAINED_0 cls_CHAINED_0_01 clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__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__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__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_Odivision__ring 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__Ring__and__Field_Ocomm__ring__1 clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__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__OrderedGroup_Omonoid__add clsarity_Complex__Ocomplex__RealVector_Oreal__vector clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1 clsarity_Complex__Ocomplex__RealVector_Oreal__field clsarity_Complex__Ocomplex__Ring__and__Field_Ofield clsarity_Complex__Ocomplex__Ring__and__Field_Oring clsarity_Complex__Ocomplex__Ring__and__Field_Oidom clsarity_Complex__Ocomplex__Ring__and__Field_Odvd clsarity_Complex__Ocomplex__Int_Onumber__ring clsarity_Complex__Ocomplex__Power_Opower clsarity_Complex__Ocomplex__SEQ_Obanach clsarity_Complex__Ocomplex__HOL_Ozero cls_conjecture_0
% 0.41/0.59
%------------------------------------------------------------------------------