TSTP Solution File: ALG400-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG400-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 18:00:44 EDT 2022

% Result   : Unsatisfiable 2.65s 2.90s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   23 (  13 unt;   3 nHn;  12 RR)
%            Number of literals    :   36 (  11 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_inverse__mult__distrib_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | ~ class_Ring__and__Field_Odivision__by__zero(X)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(Y,Z,X),X) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(Y,X),c_HOL_Oinverse__class_Oinverse(Z,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__mult__distrib_0) ).

cnf(cls_poly__smult_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
    | c_Polynomial_Opoly(c_Polynomial_Osmult(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(Y,c_Polynomial_Opoly(Z,U,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__smult_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/sandbox/benchmark/theBenchmark.p',cls_complex__divide__def_0) ).

cnf(cls_inverse__divide_0,axiom,
    ( ~ class_Ring__and__Field_Ofield(X)
    | ~ class_Ring__and__Field_Odivision__by__zero(X)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(Y,Z,X),X) = c_HOL_Oinverse__class_Odivide(Z,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__divide_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/sandbox/benchmark/theBenchmark.p',cls_inverse__inverse__eq_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_Osmult(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q____,tc_Complex_Ocomplex),v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_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/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).

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

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

cnf(664,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(685,plain,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(Y,X,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_inverse__divide_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).

cnf(696,plain,
    c_Polynomial_Opoly(c_Polynomial_Osmult(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,c_Polynomial_Opoly(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_poly__smult_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).

cnf(697,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,696,theory(equality)]) ).

cnf(698,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_conjecture_1,696,theory(equality)]) ).

cnf(723,plain,
    c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_inverse__mult__distrib_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]),cls_complex__divide__def_0,theory(equality)]) ).

cnf(2451,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_0,664,theory(equality)]) ).

cnf(2580,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[697,2451,theory(equality)]) ).

cnf(2581,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Oinverse(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[698,2451,theory(equality)]) ).

cnf(2635,plain,
    c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(X,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex) = c_HOL_Oinverse__class_Odivide(c_HOL_Oinverse__class_Oinverse(Y,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[723,685,2451,theory(equality)]) ).

cnf(2636,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(c_Polynomial_Opoly(v_q____,v_w____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_q____,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[2580,664,2635,theory(equality)]) ).

cnf(2637,plain,
    $false,
    inference('REWRITE',[status(thm)],[2581,2636,664,2635,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : ALG400-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11  % Command  : run-snark %s %d
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Thu Jun  9 02:13:22 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.17/0.39  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.40  * 
% 0.17/0.40  * 
% 0.17/0.41  #<PACKAGE "SNARK-USER">
% 0.17/0.41  * 
% 0.17/0.41  SNARK-TPTP-OPTIONS
% 0.17/0.41  * 
% 0.17/0.41  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.41   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.41   (USE-FACTORING :POS)
% 0.17/0.41   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.41   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.41   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.41   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.41   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.41   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.41   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.41   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.41   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.41   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.41  * 
% 0.17/0.41  "."
% 0.17/0.41  * 
% 0.17/0.41  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T02:13:22
% 0.17/0.41  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-09T02:13:22
% 0.17/0.53  WARNING:
% 0.17/0.53     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.65/2.90  
% 2.65/2.90  
% 2.65/2.90  #||
% 2.65/2.90  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/2.90  % SZS output start Refutation
% See solution above
% 2.65/2.90  ||#
% 2.65/2.90  
% 2.65/2.90  ; Summary of computation:
% 2.65/2.90  ;     18187 formulas have been input or derived (from 655 formulas).
% 2.65/2.90  ;      2637 (14%) were retained.  Of these,
% 2.65/2.90  ;          313 (12%) were simplified or subsumed later,
% 2.65/2.90  ;         2324 (88%) are still being kept.
% 2.65/2.90  ; 
% 2.65/2.90  ; Run time in seconds excluding printing time:
% 2.65/2.90  ;     0.099   4%   Read assertion file          (1 call)
% 2.65/2.90  ;     0.011   0%   Assert                       (604 calls)
% 2.65/2.90  ;     0.233   9%   Process new row              (16,696 calls)
% 2.65/2.90  ;     0.492  20%   Resolution                   (1,308 calls)
% 2.65/2.90  ;     0.027   1%   Paramodulation               (654 calls)
% 2.65/2.90  ;     0.000   0%   Factoring                    (7 calls)
% 2.65/2.90  ;     0.122   5%   Condensing                   (11,203 calls)
% 2.65/2.90  ;     0.520  21%   Forward subsumption          (11,203 calls)
% 2.65/2.90  ;     0.089   4%   Backward subsumption         (1,966 calls)
% 2.65/2.90  ;     0.322  13%   Clause clause subsumption    (46,699 calls)
% 2.65/2.90  ;     0.390  16%   Forward simplification       (16,694 calls)
% 2.65/2.90  ;     0.022   1%   Backward simplification      (2,637 calls)
% 2.65/2.90  ;     0.067   3%   Ordering                     (31,510 calls)
% 2.65/2.90  ;     0.001   0%   Sortal reasoning             (32 calls)
% 2.65/2.90  ;     0.001   0%   Purity testing               (1 call)
% 2.65/2.90  ;     0.095   4%   Other
% 2.65/2.90  ;     2.491        Total
% 2.65/2.90  ;     2.493        Real time
% 2.65/2.90  ; 
% 2.65/2.90  ; Term-hash-array has 2,719 terms in all.
% 2.65/2.90  ; Feature-vector-row-index has 1,677 entries (1,710 at peak, 1,966 added, 289 deleted).
% 2.65/2.90  ; Feature-vector-row-index has 5,247 nodes (5,454 at peak, 7,346 added, 2,099 deleted).
% 2.65/2.90  ;  Retrieved 209,634 possibly forward subsuming rows in 11,203 calls.
% 2.65/2.90  ;  Retrieved 6,768 possibly backward subsumed rows in 1,966 calls.
% 2.65/2.90  ; Path-index has 2,456 entries (2,506 at peak, 2,788 added, 332 deleted).
% 2.65/2.90  ; Path-index has 3,775 nodes (3,863 at peak, 4,318 added, 543 deleted).
% 2.65/2.90  ; Trie-index has 2,456 entries (2,506 at peak, 2,788 added, 332 deleted).
% 2.65/2.90  ; Trie-index has 6,884 nodes (7,074 at peak, 8,700 added, 1,816 deleted).
% 2.65/2.90  ; Retrieved 62,533 generalization terms in 80,200 calls.
% 2.65/2.90  ; Retrieved 1,011 instance terms in 769 calls.
% 2.65/2.90  ; Retrieved 532,646 unifiable terms in 27,521 calls.
% 2.65/2.90  ; 
% 2.65/2.90  ; The agenda of backward simplifiable rows to process has 37 entries:
% 2.65/2.90  ;    37 with value 0
% 2.65/2.90  ; The agenda of rows to process has 28 entries:
% 2.65/2.90  ;     1 with value 19              4 with value 28               4 with value 30
% 2.65/2.90  ;     3 with value 22              4 with value 29               4 with value 33
% 2.65/2.90  ;     8 with value 24
% 2.65/2.90  ; The agenda of input rows to give has 3 entries:
% 2.65/2.90  ;     1 with value 22              1 with value 24               1 with value 33
% 2.65/2.90  ; The agenda of rows to give has 1673 entries:
% 2.65/2.90  ;     1 with value (4 11)         13 with value (4 29)          30 with value (4 51)
% 2.65/2.90  ;   102 with value (4 12)        145 with value (4 30)           4 with value (4 54)
% 2.65/2.90  ;     3 with value (4 13)        118 with value (4 31)           2 with value (4 55)
% 2.65/2.90  ;    26 with value (4 14)         55 with value (4 32)           4 with value (4 56)
% 2.65/2.90  ;    25 with value (4 15)         18 with value (4 33)           2 with value (4 57)
% 2.65/2.90  ;    47 with value (4 16)         49 with value (4 34)           2 with value (4 58)
% 2.65/2.90  ;    29 with value (4 17)         23 with value (4 35)           8 with value (4 59)
% 2.65/2.90  ;    21 with value (4 18)          6 with value (4 36)           2 with value (4 60)
% 2.65/2.90  ;    51 with value (4 19)          4 with value (4 37)           4 with value (4 62)
% 2.65/2.90  ;    20 with value (4 20)         98 with value (4 38)          18 with value (4 63)
% 2.65/2.90  ;    26 with value (4 21)         86 with value (4 39)           4 with value (4 66)
% 2.65/2.90  ;    22 with value (4 22)         13 with value (4 40)          14 with value (4 68)
% 2.65/2.90  ;    36 with value (4 23)         16 with value (4 41)           2 with value (4 69)
% 2.65/2.90  ;    21 with value (4 24)          2 with value (4 42)           5 with value (4 75)
% 2.65/2.90  ;   172 with value (4 25)         13 with value (4 43)           2 with value (4 76)
% 2.65/2.90  ;   176 with value (4 26)         10 with value (4 44)           8 with value (4 81)
% 2.65/2.90  ;    20 with value (4 27)          4 with value (4 47)           4 with value (4 82)
% 2.65/2.90  ;    73 with value (4 28)         10 with value (4 49)           4 with value (4 88)
% 2.65/2.90  Evaluation took:
% 2.65/2.90    2.494 seconds of real time
% 2.65/2.90    2.273534 seconds of user run time
% 2.65/2.90    0.220893 seconds of system run time
% 2.65/2.90    [Run times include 0.17 seconds GC run time.]
% 2.65/2.90    0 calls to %EVAL
% 2.65/2.90    0 page faults and
% 2.65/2.90    245,447,000 bytes consed.
% 2.65/2.90  :PROOF-FOUND
% 2.65/2.90  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T02:13:25
% 2.65/2.90  :PROOF-FOUND
% 2.65/2.90  * 
%------------------------------------------------------------------------------