TSTP Solution File: ALG387-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 18:00:42 EDT 2022

% Result   : Unsatisfiable 40.13s 40.38s
% Output   : Refutation 40.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   37 (  23 unt;   3 nHn;  24 RR)
%            Number of literals    :   54 (  14 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-3 aty)
%            Number of variables   :   41 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Re_Ozero_0,axiom,
    c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Re_Ozero_0) ).

cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
    | c_HOL_Oplus__class_Oplus(Y,Z,X) = c_HOL_Oplus__class_Oplus(Z,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).

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/sandbox/benchmark/theBenchmark.p',cls_diff__minus__eq__add_0) ).

cnf(cls_Im_Ozero_0,axiom,
    c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Im_Ozero_0) ).

cnf(491,plain,
    c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
    inference('REWRITE',[status(thm)],[cls_Im_Ozero_0,cls_Re_Ozero_0,theory(equality)]) ).

cnf(cls_real__abs__def_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal) = X
    | c_HOL_Oord__class_Oless(X,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__abs__def_1) ).

cnf(cls_less__le__not__le_1,axiom,
    ( ~ class_Orderings_Opreorder(X)
    | ~ c_lessequals(Y,Z,X)
    | ~ c_HOL_Oord__class_Oless(Z,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).

cnf(cls_poly__pCons_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
    | c_Polynomial_Opoly(c_Polynomial_OpCons(Y,Z,X),U,X) = c_HOL_Oplus__class_Oplus(Y,c_HOL_Otimes__class_Otimes(U,c_Polynomial_Opoly(Z,U,X),X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).

cnf(cls_norm__ge__zero_0,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(Y,X),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).

cnf(cls_v_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_v_0) ).

cnf(cls_v0_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_v0_0) ).

cnf(cls_real__le__linear_0,axiom,
    ( c_lessequals(X,Y,tc_RealDef_Oreal)
    | c_lessequals(Y,X,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__linear_0) ).

cnf(cls_order__trans_0,axiom,
    ( ~ class_Orderings_Opreorder(X)
    | c_lessequals(Y,Z,X)
    | ~ c_lessequals(U,Z,X)
    | ~ c_lessequals(Y,U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).

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

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

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

cnf(815,plain,
    c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_Re_Ozero_0,491,theory(equality)]) ).

cnf(818,plain,
    ( c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal) = X
    | c_HOL_Oord__class_Oless(X,c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_real__abs__def_1,815,theory(equality)]) ).

cnf(824,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X)
    | c_lessequals(c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_RealVector_Onorm__class_Onorm(Y,X),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_norm__ge__zero_0,815,theory(equality)]) ).

cnf(1049,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_class__semiring_Osemiring__rules_I24_J_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(1059,plain,
    c_lessequals(c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[824,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).

cnf(1232,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(1241,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)],[1049,1232,theory(equality)]) ).

cnf(2400,plain,
    c_Polynomial_Opoly(c_Polynomial_OpCons(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(Z,c_Polynomial_Opoly(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_poly__pCons_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]),1232,theory(equality)]) ).

cnf(2402,plain,
    ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X,c_Polynomial_Opoly(v_cs____,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(hAPP(v_x,X),c_Polynomial_Opoly(v_cs____,hAPP(v_x,X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,1241,2400,theory(equality)]) ).

cnf(2403,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X,c_Polynomial_Opoly(v_cs____,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_v_0,1241,2400,theory(equality)]) ).

cnf(2404,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(v_v____,c_Polynomial_Opoly(v_cs____,v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X,c_Polynomial_Opoly(v_cs____,X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_v0_0,1241,2400,theory(equality)]) ).

cnf(3820,plain,
    ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('UR-RESOLVE',[status(thm)],[2404,2402]) ).

cnf(3823,plain,
    ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('UR-RESOLVE',[status(thm)],[2403,2402]) ).

cnf(17475,plain,
    ~ c_lessequals(v_r____,c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),tc_RealDef_Oreal),
    inference('UR-RESOLVE',[status(thm)],[cls_order__trans_0,3820,clsarity_RealDef__Oreal__Orderings_Opreorder,1059]) ).

cnf(17478,plain,
    c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),v_r____,tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[3820,cls_real__le__linear_0]) ).

cnf(17534,plain,
    c_lessequals(c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),v_r____,tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[17475,cls_real__le__linear_0]) ).

cnf(19180,plain,
    c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal) = v_r____,
    inference('HYPERRESOLVE',[status(thm)],[cls_less__le__not__le_1,17534,clsarity_RealDef__Oreal__Orderings_Opreorder,818]) ).

cnf(19182,plain,
    $false,
    inference('REWRITE',[status(thm)],[3823,17478,19180,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 13:30:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T13:30:22
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-08T13:30:22
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Orderings_Obot| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Lattices_Obounded__lattice| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67  WARNING:
% 0.47/0.67     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 40.13/40.38  
% 40.13/40.38  
% 40.13/40.38  #||
% 40.13/40.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.13/40.38  % SZS output start Refutation
% See solution above
% 40.31/40.49  ||#
% 40.31/40.49  
% 40.31/40.49  ; Summary of computation:
% 40.31/40.49  ;     85039 formulas have been input or derived (from 1106 formulas).
% 40.31/40.49  ;     19182 (23%) were retained.  Of these,
% 40.31/40.49  ;         2912 (15%) were simplified or subsumed later,
% 40.31/40.49  ;        16270 (85%) are still being kept.
% 40.31/40.49  ; 
% 40.31/40.49  ; Run time in seconds excluding printing time:
% 40.31/40.49  ;     0.159   0%   Read assertion file          (1 call)
% 40.31/40.49  ;     0.017   0%   Assert                       (884 calls)
% 40.31/40.49  ;     2.787   7%   Process new row              (76,425 calls)
% 40.31/40.49  ;     5.490  14%   Resolution                   (2,210 calls)
% 40.31/40.49  ;     0.055   0%   Paramodulation               (1,105 calls)
% 40.31/40.49  ;     0.000   0%   Factoring                    (6 calls)
% 40.31/40.49  ;     0.427   1%   Condensing                   (31,171 calls)
% 40.31/40.49  ;    19.569  49%   Forward subsumption          (31,171 calls)
% 40.31/40.49  ;     2.223   6%   Backward subsumption         (10,239 calls)
% 40.31/40.49  ;     1.995   5%   Clause clause subsumption    (677,620 calls)
% 40.31/40.49  ;     5.309  13%   Forward simplification       (76,302 calls)
% 40.31/40.49  ;     0.399   1%   Backward simplification      (19,150 calls)
% 40.31/40.49  ;     1.019   3%   Ordering                     (214,689 calls)
% 40.31/40.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 40.31/40.49  ;     0.002   0%   Purity testing               (1 call)
% 40.31/40.49  ;     0.446   1%   Other
% 40.31/40.49  ;    39.897        Total
% 40.31/40.49  ;    40.011        Real time
% 40.31/40.49  ; 
% 40.33/40.49  ; Term-hash-array has 33,889 terms in all.
% 40.33/40.49  ; Feature-vector-row-index has 7,871 entries (7,874 at peak, 10,239 added, 2,368 deleted).
% 40.33/40.49  ; Feature-vector-row-index has 27,723 nodes (27,816 at peak, 43,325 added, 15,602 deleted).
% 40.33/40.49  ;  Retrieved 1,819,211 possibly forward subsuming rows in 31,171 calls.
% 40.33/40.49  ;  Retrieved 106,895 possibly backward subsumed rows in 10,239 calls.
% 40.33/40.49  ; Path-index has 30,441 entries (30,449 at peak, 34,524 added, 4,083 deleted).
% 40.33/40.49  ; Path-index has 51,049 nodes (51,052 at peak, 53,965 added, 2,916 deleted).
% 40.33/40.49  ; Trie-index has 30,441 entries (30,449 at peak, 34,524 added, 4,083 deleted).
% 40.33/40.49  ; Trie-index has 250,131 nodes (250,169 at peak, 270,460 added, 20,329 deleted).
% 40.33/40.49  ; Retrieved 738,619 generalization terms in 1,053,835 calls.
% 40.33/40.49  ; Retrieved 13,435 instance terms in 9,184 calls.
% 40.33/40.49  ; Retrieved 10,556,924 unifiable terms in 48,225 calls.
% 40.33/40.49  ; 
% 40.33/40.49  ; The agenda of backward simplifiable rows to process has 7 entries:
% 40.33/40.49  ;     7 with value 0
% 40.33/40.49  ; The agenda of rows to process has 2318 entries:
% 40.33/40.49  ;     8 with value 13             11 with value 33              19 with value 53
% 40.33/40.49  ;     1 with value 14             84 with value 34              34 with value 54
% 40.33/40.49  ;     3 with value 15             48 with value 35              18 with value 55
% 40.33/40.49  ;    37 with value 16             40 with value 36               2 with value 56
% 40.33/40.49  ;    48 with value 17             55 with value 37              51 with value 57
% 40.33/40.49  ;    71 with value 18             73 with value 38              11 with value 60
% 40.33/40.49  ;    18 with value 19             81 with value 39               6 with value 61
% 40.33/40.49  ;    38 with value 20            150 with value 40              12 with value 62
% 40.33/40.49  ;    26 with value 21            120 with value 41               6 with value 63
% 40.33/40.49  ;    34 with value 22            180 with value 42              33 with value 64
% 40.33/40.49  ;    57 with value 23            225 with value 43               9 with value 65
% 40.33/40.49  ;    56 with value 24            107 with value 44              21 with value 66
% 40.33/40.49  ;    28 with value 25             72 with value 45              27 with value 68
% 40.33/40.49  ;    13 with value 26             70 with value 46              27 with value 69
% 40.33/40.49  ;    22 with value 27              8 with value 47               9 with value 72
% 40.33/40.49  ;    35 with value 28             48 with value 48               9 with value 84
% 40.33/40.49  ;    14 with value 29              6 with value 50               3 with value 86
% 40.33/40.49  ;     3 with value 30             52 with value 51              29 with value 87
% 40.33/40.49  ;    15 with value 31              5 with value 52               6 with value 89
% 40.33/40.49  ;    24 with value 32
% 40.33/40.49  ; The agenda of input rows to give has 1 entry:
% 40.33/40.49  ;     1 with value 43
% 40.33/40.49  ; The agenda of rows to give has 15169 entries:
% 40.33/40.49  ;     1 with value (4 11)        304 with value (4 41)          21 with value (4 71)
% 40.33/40.49  ;     7 with value (4 12)        393 with value (4 42)          68 with value (4 72)
% 40.33/40.49  ;    77 with value (4 13)        351 with value (4 43)          31 with value (4 73)
% 40.33/40.49  ;   181 with value (4 14)        360 with value (4 44)          49 with value (4 74)
% 40.33/40.49  ;   309 with value (4 15)        397 with value (4 45)           4 with value (4 75)
% 40.33/40.49  ;   266 with value (4 16)        322 with value (4 46)         143 with value (4 76)
% 40.33/40.49  ;   322 with value (4 17)        244 with value (4 47)           5 with value (4 77)
% 40.33/40.49  ;   380 with value (4 18)        131 with value (4 48)         111 with value (4 78)
% 40.33/40.49  ;   301 with value (4 19)        276 with value (4 49)           4 with value (4 79)
% 40.33/40.49  ;   387 with value (4 20)        288 with value (4 50)          87 with value (4 80)
% 40.33/40.49  ;   334 with value (4 21)        121 with value (4 51)          10 with value (4 81)
% 40.33/40.49  ;   578 with value (4 22)        161 with value (4 52)          24 with value (4 82)
% 40.33/40.49  ;   432 with value (4 23)        166 with value (4 53)           4 with value (4 84)
% 40.33/40.49  ;   371 with value (4 24)        114 with value (4 54)           1 with value (4 85)
% 40.33/40.49  ;   420 with value (4 25)         87 with value (4 55)          13 with value (4 86)
% 40.33/40.49  ;   414 with value (4 26)         47 with value (4 56)           4 with value (4 88)
% 40.33/40.49  ;   420 with value (4 27)         93 with value (4 57)           3 with value (4 90)
% 40.33/40.49  ;   414 with value (4 28)        105 with value (4 58)           5 with value (4 91)
% 40.33/40.49  ;   436 with value (4 29)        103 with value (4 59)           4 with value (4 92)
% 40.33/40.49  ;   524 with value (4 30)        127 with value (4 60)           6 with value (4 93)
% 40.33/40.49  ;   282 with value (4 31)         69 with value (4 61)          11 with value (4 96)
% 40.33/40.49  ;   263 with value (4 32)         91 with value (4 62)           4 with value (4 97)
% 40.33/40.49  ;   326 with value (4 33)         57 with value (4 63)           8 with value (4 99)
% 40.33/40.49  ;   240 with value (4 34)         68 with value (4 64)           2 with value (4 109)
% 40.33/40.49  ;   350 with value (4 35)         50 with value (4 65)           6 with value (4 113)
% 40.33/40.49  ;   315 with value (4 36)        101 with value (4 66)           4 with value (4 125)
% 40.33/40.49  ;   344 with value (4 37)         56 with value (4 67)           1 with value (4 131)
% 40.33/40.49  ;   369 with value (4 38)        100 with value (4 68)           1 with value (4 144)
% 40.33/40.49  ;   265 with value (4 39)         41 with value (4 69)           4 with value (4 169)
% 40.33/40.49  ;   282 with value (4 40)         97 with value (4 70)           1 with value (4 230)
% 40.33/40.49  Evaluation took:
% 40.33/40.49    40.016 seconds of real time
% 40.33/40.49    37.646217 seconds of user run time
% 40.33/40.49    2.364746 seconds of system run time
% 40.33/40.49    [Run times include 7.115 seconds GC run time.]
% 40.33/40.49    0 calls to %EVAL
% 40.33/40.49    0 page faults and
% 40.33/40.49    3,766,516,032 bytes consed.
% 40.33/40.49  :PROOF-FOUND
% 40.33/40.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T13:31:02
% 40.33/40.49  :PROOF-FOUND
% 40.33/40.49  * 
%------------------------------------------------------------------------------