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