TSTP Solution File: SWW238+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWW238+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 01:28:10 EDT 2022
% Result : Theorem 8.05s 8.22s
% Output : Refutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 45
% Syntax : Number of clauses : 48 ( 46 unt; 0 nHn; 48 RR)
% Number of literals : 50 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 45 ( 44 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(171,axiom,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(172,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(173,axiom,
class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(174,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(175,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(176,axiom,
class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(177,axiom,
class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(178,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(179,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(180,axiom,
class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(181,axiom,
class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(182,axiom,
class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(183,axiom,
class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(184,axiom,
class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(185,axiom,
class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(186,axiom,
class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(187,axiom,
class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(188,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(189,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(190,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(191,axiom,
class_Rings_Odivision__ring(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(192,axiom,
class_Rings_Ocomm__semiring(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(193,axiom,
class_Groups_Oab__group__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(194,axiom,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(195,axiom,
class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(196,axiom,
class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(197,axiom,
class_Groups_Omonoid__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(198,axiom,
class_Rings_Osemiring__0(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(199,axiom,
class_Groups_Ogroup__add(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(200,axiom,
class_Rings_Omult__zero(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(201,axiom,
class_Rings_Ocomm__ring(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(202,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(203,axiom,
class_Rings_Osemiring(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(204,axiom,
class_Rings_Oring__1(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(205,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(206,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(207,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(208,axiom,
class_Rings_Oring(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(209,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(210,axiom,
class_Groups_Oone(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(211,axiom,
class_Rings_Odvd(tc_Complex_Ocomplex),
file('SWW238+1.p',unknown),
[] ).
cnf(500,axiom,
( ~ class_Rings_Ocomm__semiring__1(u)
| equal(c_Groups_Oplus__class_Oplus(u,v,w),c_Groups_Oplus__class_Oplus(u,w,v)) ),
file('SWW238+1.p',unknown),
[] ).
cnf(769,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,u),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,u,v)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v))),
file('SWW238+1.p',unknown),
[] ).
cnf(1501,axiom,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),
file('SWW238+1.p',unknown),
[] ).
cnf(27935,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,u),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v,u)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v))) ),
inference(spr,[status(thm),theory(equality)],[500,769]),
[iquote('0:SpR:500.1,769.0')] ).
cnf(27953,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,u),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v,u)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v))),
inference(ssi,[status(thm)],[27935,190,174,172,204,177,173,210,203,202,192,185,183,176,208,197,196,180,184,1,201,194,193,186,181,200,199,198,179,211,171,206,195,191,187,205,182,207,209,175,189,178,188]),
[iquote('0:SSi:27935.0,190.0,174.0,172.0,204.0,177.0,173.0,210.0,203.0,202.0,192.0,185.0,183.0,176.0,208.0,197.0,196.0,180.0,184.0,1.0,201.0,194.0,193.0,186.0,181.0,200.0,199.0,198.0,179.0,211.0,171.0,206.0,195.0,191.0,187.0,205.0,182.0,207.0,209.0,175.0,189.0,178.0,188.0')] ).
cnf(27954,plain,
$false,
inference(unc,[status(thm)],[27953,1501]),
[iquote('0:UnC:27953.0,1501.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW238+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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 : Sat Jun 4 12:15:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 8.05/8.22
% 8.05/8.22 SPASS V 3.9
% 8.05/8.22 SPASS beiseite: Proof found.
% 8.05/8.22 % SZS status Theorem
% 8.05/8.22 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.05/8.22 SPASS derived 22397 clauses, backtracked 0 clauses, performed 0 splits and kept 6180 clauses.
% 8.05/8.22 SPASS allocated 117015 KBytes.
% 8.05/8.22 SPASS spent 0:00:07.65 on the problem.
% 8.05/8.22 0:00:00.06 for the input.
% 8.05/8.22 0:00:00.53 for the FLOTTER CNF translation.
% 8.05/8.22 0:00:00.40 for inferences.
% 8.05/8.22 0:00:00.00 for the backtracking.
% 8.05/8.22 0:00:06.33 for the reduction.
% 8.05/8.22
% 8.05/8.22
% 8.05/8.22 Here is a proof with depth 1, length 48 :
% 8.05/8.22 % SZS output start Refutation
% See solution above
% 8.05/8.22 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_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J fact_complex__mod__triangle__sub conj_0
% 8.05/8.22
%------------------------------------------------------------------------------