TSTP Solution File: ALG360-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG360-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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 18:00:38 EDT 2022

% Result   : Unsatisfiable 22.08s 22.28s
% Output   : Refutation 22.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   35
% Syntax   : Number of clauses     :   69 (  54 unt;   2 nHn;  36 RR)
%            Number of literals    :   91 (  47 equ;  29 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;   6 con; 0-3 aty)
%            Number of variables   :   76 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_complex__Re__i_0,axiom,
    c_Complex_ORe(c_Complex_Oii) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__Re__i_0) ).

cnf(cls_inverse__inverse__eq_0,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X)
    | ~ class_Ring__and__Field_Odivision__by__zero(X)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(Y,X),X) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__inverse__eq_0) ).

cnf(cls_complex__of__real__def_0,axiom,
    c_RealVector_Oof__real(X,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__of__real__def_0) ).

cnf(232,plain,
    c_RealVector_Oof__real(X,tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_Complex_Oii)),
    inference('REWRITE',[status(thm)],[cls_complex__of__real__def_0,cls_complex__Re__i_0,theory(equality)]) ).

cnf(cls_diff__minus__eq__add_0,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X)
    | c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(Z,X),X) = c_HOL_Oplus__class_Oplus(Y,Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__minus__eq__add_0) ).

cnf(cls_divide__eq__eq_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | ~ class_Ring__and__Field_Odivision__by__zero(X)
    | Y = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(Y,Z,X),Z,X)
    | Z = c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__eq__eq_0) ).

cnf(cls_divide_OscaleR_0,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(Y,Z,X),U,X) = c_RealVector_OscaleR__class_OscaleR(Y,c_HOL_Oinverse__class_Odivide(Z,U,X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide_OscaleR_0) ).

cnf(cls_Complex__eq__1_2,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Complex__eq__1_2) ).

cnf(835,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Complex_ORe(c_Complex_Oii)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[cls_Complex__eq__1_2,cls_complex__Re__i_0,theory(equality)]) ).

cnf(cls_divide__self_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | c_HOL_Oinverse__class_Odivide(Y,Y,X) = c_HOL_Oone__class_Oone(X)
    | Y = c_HOL_Ozero__class_Ozero(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_divide__self_0) ).

cnf(cls_inverse__eq__divide_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | c_HOL_Oinverse__class_Oinverse(Y,X) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X),Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).

cnf(cls_norm__divide_0,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X)
    | ~ class_RealVector_Oreal__normed__field(X)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(Y,Z,X),X) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(Y,X),c_RealVector_Onorm__class_Onorm(Z,X),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__divide_0) ).

cnf(cls_scaleR__conv__of__real_0,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X)
    | c_RealVector_OscaleR__class_OscaleR(Y,Z,X) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(Y,X),Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_scaleR__conv__of__real_0) ).

cnf(cls_of__real__divide_0,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X)
    | ~ class_RealVector_Oreal__field(X)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(Y,Z,tc_RealDef_Oreal),X) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(Y,X),c_RealVector_Oof__real(Z,X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__real__divide_0) ).

cnf(cls_complex__Re__one_0,axiom,
    c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__Re__one_0) ).

cnf(cls_complex__divide__def_0,axiom,
    c_HOL_Oinverse__class_Odivide(X,Y,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,c_HOL_Oinverse__class_Oinverse(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__divide__def_0) ).

cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X)
    | c_HOL_Oplus__class_Oplus(Y,Z,X) = c_HOL_Oplus__class_Oplus(Z,Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).

cnf(cls_norm__one_0,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X),X) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__one_0) ).

cnf(971,plain,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X),X) = c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)) ),
    inference('REWRITE',[status(thm)],[cls_norm__one_0,cls_complex__Re__one_0,theory(equality)]) ).

cnf(cls_class__semiring_Omul__a_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
    | c_HOL_Otimes__class_Otimes(Y,c_HOL_Otimes__class_Otimes(Z,U,X),X) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(Y,Z,X),U,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__a_0) ).

cnf(cls_th0_0,axiom,
    c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_th0_0) ).

cnf(998,plain,
    c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
    inference('REWRITE',[status(thm)],[cls_th0_0,cls_complex__Re__one_0,232,theory(equality)]) ).

cnf(cls_mult__1__right_0,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X)
    | c_HOL_Otimes__class_Otimes(Y,c_HOL_Oone__class_Oone(X),X) = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__1__right_0) ).

cnf(cls_real__mult__1_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X,tc_RealDef_Oreal) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__1_0) ).

cnf(1014,plain,
    c_HOL_Otimes__class_Otimes(c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),X,tc_RealDef_Oreal) = X,
    inference('REWRITE',[status(thm)],[cls_real__mult__1_0,cls_complex__Re__one_0,theory(equality)]) ).

cnf(cls_v_0,axiom,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_v_0) ).

cnf(1030,plain,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_v_0,cls_complex__Re__one_0,232,theory(equality)]) ).

cnf(cls_mult__frac__num_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | ~ class_Ring__and__Field_Odivision__by__zero(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(Y,Z,X),U,X) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(Y,U,X),Z,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__frac__num_0) ).

cnf(cls_CHAINED_0_01,axiom,
    v_b != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(1038,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,1014,cls_complex__Re__one_0,998,232,theory(equality)]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__field) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).

cnf(1207,plain,
    c_Complex_Ocomplex_OComplex(c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),c_Complex_ORe(c_Complex_Oii)) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[835,cls_complex__Re__one_0,theory(equality)]) ).

cnf(1359,plain,
    c_HOL_Otimes__class_Otimes(X,c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_mult__1__right_0,clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).

cnf(1360,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1038,1359,theory(equality)]) ).

cnf(1396,plain,
    c_HOL_Oplus__class_Oplus(X,Y,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(Y,X,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_comm__monoid__add_Omult__commute_0,clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add]) ).

cnf(1402,plain,
    c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),
    inference('HYPERRESOLVE',[status(thm)],[971,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1]) ).

cnf(1456,plain,
    c_HOL_Oinverse__class_Oinverse(X,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_inverse__eq__divide_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).

cnf(1507,plain,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_inverse__inverse__eq_0,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).

cnf(1616,plain,
    c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X,Y,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_diff__minus__eq__add_0,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).

cnf(1623,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1360,1616,theory(equality)]) ).

cnf(1624,plain,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1030,1616,theory(equality)]) ).

cnf(1630,plain,
    c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[1396,1616,theory(equality)]) ).

cnf(1632,plain,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1624,1630,theory(equality)]) ).

cnf(1633,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1623,1630,theory(equality)]) ).

cnf(1739,plain,
    c_RealVector_OscaleR__class_OscaleR(X,Y,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_Complex_Oii)),Y,tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_scaleR__conv__of__real_0,clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1]),232,theory(equality)]) ).

cnf(1812,plain,
    c_HOL_Oinverse__class_Odivide(v_b,v_b,tc_Complex_Ocomplex) = c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),
    inference('UR-RESOLVE',[status(thm)],[cls_divide__self_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,cls_CHAINED_0_01]) ).

cnf(2154,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_Complex_Oii)),Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_Complex_Oii)),c_HOL_Oinverse__class_Odivide(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_divide_OscaleR_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field]),1739,theory(equality)]) ).

cnf(2183,plain,
    c_HOL_Otimes__class_Otimes(X,c_HOL_Otimes__class_Otimes(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Omul__a_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(2184,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[1633,2183,theory(equality)]) ).

cnf(2566,plain,
    X = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X,v_b,tc_Complex_Ocomplex),v_b,tc_Complex_Ocomplex),
    inference('UR-RESOLVE',[status(thm)],[cls_divide__eq__eq_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,cls_CHAINED_0_01]) ).

cnf(2567,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[2184,2154,2566,theory(equality)]) ).

cnf(2671,plain,
    c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(Y,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_norm__divide_0,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field]) ).

cnf(2673,plain,
    c_Complex_Ocomplex_OComplex(c_HOL_Oinverse__class_Odivide(X,Y,tc_RealDef_Oreal),c_Complex_ORe(c_Complex_Oii)) = c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(X,c_Complex_ORe(c_Complex_Oii)),c_Complex_Ocomplex_OComplex(Y,c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_of__real__divide_0,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,clsarity_Complex__Ocomplex__RealVector_Oreal__field]),232,theory(equality)]) ).

cnf(2681,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X,Z,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_mult__frac__num_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).

cnf(14235,plain,
    c_HOL_Oinverse__class_Odivide(X,c_HOL_Oinverse__class_Oinverse(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),
    inference('PARAMODULATE',[status(thm)],[cls_complex__divide__def_0,1507,theory(equality)]) ).

cnf(16528,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_v____,v_na____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Complex_Ocomplex_OComplex(c_RealVector_Onorm__class_Onorm(v_b,tc_Complex_Ocomplex),c_Complex_ORe(c_Complex_Oii)),v_b,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Complex_ORe(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[2567,14235,theory(equality)]) ).

cnf(16783,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X,Y,tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Odivide(X,c_HOL_Oinverse__class_Oinverse(Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[2681,14235,theory(equality)]) ).

cnf(16791,plain,
    $false,
    inference('REWRITE',[status(thm)],[16528,1632,1507,1456,1207,1402,1812,2671,2673,16783,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG360-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 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 : Thu Jun  9 07:13:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T07:13:57
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-09T07:13:57
% 0.50/0.69  
% 0.50/0.69  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.56/0.72  WARNING:
% 0.56/0.72     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.56/0.72  WARNING:
% 0.56/0.72     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 22.08/22.28  ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 22.08/22.28  
% 22.08/22.28  #||
% 22.08/22.28  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.08/22.28  % SZS output start Refutation
% See solution above
% 22.24/22.41  ||#
% 22.24/22.41  
% 22.24/22.41  ; Summary of computation:
% 22.24/22.41  ;     91875 formulas have been input or derived (from 1166 formulas).
% 22.24/22.41  ;     16791 (18%) were retained.  Of these,
% 22.24/22.41  ;         4300 (26%) were simplified or subsumed later,
% 22.24/22.41  ;        12491 (74%) are still being kept.
% 22.24/22.41  ; 
% 22.24/22.41  ; Run time in seconds excluding printing time:
% 22.24/22.41  ;     0.212   1%   Read assertion file          (1 call)
% 22.24/22.41  ;     0.025   0%   Assert                       (1,197 calls)
% 22.24/22.41  ;     2.281  10%   Process new row              (79,643 calls)
% 22.24/22.41  ;     4.853  22%   Resolution                   (2,330 calls)
% 22.24/22.41  ;     0.090   0%   Paramodulation               (1,165 calls)
% 22.24/22.41  ;     0.001   0%   Factoring                    (12 calls)
% 22.24/22.41  ;     0.374   2%   Condensing                   (28,333 calls)
% 22.24/22.41  ;     5.008  23%   Forward subsumption          (28,333 calls)
% 22.24/22.41  ;     0.625   3%   Backward subsumption         (6,576 calls)
% 22.24/22.41  ;     1.017   5%   Clause clause subsumption    (173,961 calls)
% 22.24/22.41  ;     4.946  23%   Forward simplification       (79,639 calls)
% 22.24/22.41  ;     1.031   5%   Backward simplification      (16,680 calls)
% 22.24/22.41  ;     1.017   5%   Ordering                     (205,196 calls)
% 22.24/22.41  ;     0.000   0%   Sortal reasoning             (32 calls)
% 22.24/22.41  ;     0.003   0%   Purity testing               (1 call)
% 22.24/22.41  ;     0.326   1%   Other
% 22.24/22.41  ;    21.809        Total
% 22.24/22.41  ;    21.939        Real time
% 22.24/22.41  ; 
% 22.24/22.41  ; Term-hash-array has 39,921 terms in all.
% 22.24/22.41  ; Feature-vector-row-index has 5,240 entries (5,359 at peak, 6,576 added, 1,336 deleted).
% 22.24/22.41  ; Feature-vector-row-index has 32,481 nodes (32,882 at peak, 45,144 added, 12,663 deleted).
% 22.24/22.41  ;  Retrieved 520,758 possibly forward subsuming rows in 28,333 calls.
% 22.24/22.41  ;  Retrieved 19,729 possibly backward subsumed rows in 6,576 calls.
% 22.24/22.41  ; Path-index has 28,574 entries (29,550 at peak, 40,824 added, 12,250 deleted).
% 22.24/22.41  ; Path-index has 51,819 nodes (52,382 at peak, 61,351 added, 9,532 deleted).
% 22.24/22.41  ; Trie-index has 28,574 entries (29,550 at peak, 40,824 added, 12,250 deleted).
% 22.24/22.41  ; Trie-index has 249,298 nodes (253,475 at peak, 360,547 added, 111,249 deleted).
% 22.24/22.41  ; Retrieved 581,734 generalization terms in 913,583 calls.
% 22.24/22.41  ; Retrieved 16,128 instance terms in 10,645 calls.
% 22.24/22.41  ; Retrieved 7,164,605 unifiable terms in 62,000 calls.
% 22.24/22.41  ; 
% 22.24/22.41  ; The agenda of backward simplifiable rows to process has 325 entries:
% 22.24/22.41  ;   325 with value 0
% 22.24/22.41  ; The agenda of rows to process has 28 entries:
% 22.24/22.41  ;     1 with value 19              4 with value 28               4 with value 30
% 22.24/22.41  ;     3 with value 22              4 with value 29               4 with value 33
% 22.24/22.41  ;     8 with value 24
% 22.24/22.41  ; The agenda of rows to give has 11351 entries:
% 22.24/22.41  ;    28 with value (4 11)        216 with value (4 43)           3 with value (4 74)
% 22.24/22.41  ;   109 with value (4 12)        199 with value (4 44)           5 with value (4 75)
% 22.24/22.41  ;   137 with value (4 13)        290 with value (4 45)           2 with value (4 76)
% 22.24/22.41  ;   174 with value (4 14)        234 with value (4 46)          12 with value (4 77)
% 22.24/22.41  ;   255 with value (4 15)        257 with value (4 47)           5 with value (4 78)
% 22.24/22.41  ;   334 with value (4 16)        105 with value (4 48)           2 with value (4 80)
% 22.24/22.41  ;   309 with value (4 17)        211 with value (4 49)           2 with value (4 82)
% 22.24/22.41  ;   327 with value (4 18)         75 with value (4 50)           2 with value (4 84)
% 22.24/22.41  ;   263 with value (4 19)        121 with value (4 51)           4 with value (4 85)
% 22.24/22.41  ;   258 with value (4 20)         82 with value (4 52)           3 with value (4 86)
% 22.24/22.41  ;   330 with value (4 21)        196 with value (4 53)           1 with value (4 87)
% 22.24/22.41  ;   382 with value (4 22)        105 with value (4 54)           3 with value (4 88)
% 22.24/22.41  ;   296 with value (4 23)        110 with value (4 55)           1 with value (4 89)
% 22.24/22.41  ;   262 with value (4 24)        113 with value (4 56)           4 with value (4 90)
% 22.24/22.41  ;   363 with value (4 25)         61 with value (4 57)           1 with value (4 91)
% 22.24/22.41  ;   389 with value (4 26)         78 with value (4 58)           2 with value (4 92)
% 22.24/22.41  ;   376 with value (4 27)         28 with value (4 59)           1 with value (4 93)
% 22.24/22.41  ;   285 with value (4 28)         64 with value (4 60)           4 with value (4 94)
% 22.24/22.41  ;   253 with value (4 29)         36 with value (4 61)           5 with value (4 95)
% 22.24/22.41  ;   232 with value (4 30)         18 with value (4 62)           1 with value (4 96)
% 22.24/22.41  ;   285 with value (4 31)         29 with value (4 63)           2 with value (4 97)
% 22.24/22.41  ;   309 with value (4 32)         19 with value (4 64)           1 with value (4 99)
% 22.24/22.41  ;   316 with value (4 33)         36 with value (4 65)           3 with value (4 100)
% 22.24/22.41  ;   257 with value (4 34)         18 with value (4 66)           1 with value (4 104)
% 22.24/22.41  ;   308 with value (4 35)         18 with value (4 67)           1 with value (4 116)
% 22.24/22.41  ;   227 with value (4 36)         12 with value (4 68)           4 with value (4 123)
% 22.24/22.41  ;   279 with value (4 37)         11 with value (4 69)           1 with value (4 131)
% 22.24/22.41  ;   250 with value (4 38)         10 with value (4 70)           1 with value (4 135)
% 22.24/22.41  ;   166 with value (4 39)         18 with value (4 71)           1 with value (4 140)
% 22.24/22.41  ;   330 with value (4 40)         11 with value (4 72)           1 with value (4 144)
% 22.24/22.41  ;   189 with value (4 41)          9 with value (4 73)           1 with value (4 230)
% 22.24/22.41  ;   203 with value (4 42)
% 22.24/22.41  Evaluation took:
% 22.24/22.41    21.945 seconds of real time
% 22.24/22.41    20.614792 seconds of user run time
% 22.24/22.41    1.331244 seconds of system run time
% 22.24/22.41    [Run times include 4.513 seconds GC run time.]
% 22.24/22.41    0 calls to %EVAL
% 22.24/22.41    0 page faults and
% 22.24/22.41    1,654,075,224 bytes consed.
% 22.24/22.41  :PROOF-FOUND
% 22.24/22.41  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T07:14:19
% 22.24/22.41  :PROOF-FOUND
% 22.24/22.41  * 
%------------------------------------------------------------------------------