TSTP Solution File: ALG376-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG376-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 18:00:40 EDT 2022

% Result   : Unsatisfiable 24.05s 24.28s
% Output   : Refutation 24.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  10 unt;   1 nHn;  12 RR)
%            Number of literals    :   24 (   4 equ;  10 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  11 con; 0-3 aty)
%            Number of variables   :   14 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_norm__not__less__zero_0,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(Y,X),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__not__less__zero_0) ).

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_le__add1_0,axiom,
    c_lessequals(X,c_HOL_Oplus__class_Oplus(X,Y,tc_nat),tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__add1_0) ).

cnf(cls_s1_2,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_s1_2) ).

cnf(cls_N1_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(X)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
    | ~ c_lessequals(v_N1____,X,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_N1_0) ).

cnf(cls_th1_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_th1_0) ).

cnf(cls_abs__minus__cancel_0,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(Y,X),X) = c_HOL_Oabs__class_Oabs(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__minus__cancel_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

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

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(1139,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('UR-RESOLVE',[status(thm)],[cls_norm__not__less__zero_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).

cnf(1413,plain,
    c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X,tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_abs__minus__cancel_0,clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs]) ).

cnf(2421,plain,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,X,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal),
    inference('HYPERRESOLVE',[status(thm)],[cls_N1_0,cls_le__add1_0]) ).

cnf(3356,plain,
    c_HOL_Oabs__class_Oabs(v_s____,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_s1_2,cls_real__abs__def_1]),1139,1413,theory(equality)]) ).

cnf(3363,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
    inference('REWRITE',[status(thm)],[cls_th1_0,3356,theory(equality)]) ).

cnf(3365,plain,
    ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,3356,theory(equality)]) ).

cnf(10011,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3363,3365]),2421]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG376-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 14:50:51 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T14:50:51
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T14:50:51
% 0.53/0.72  WARNING:
% 0.53/0.72     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.72  WARNING:
% 0.53/0.72     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 24.05/24.28  
% 24.05/24.28  
% 24.05/24.28  #||
% 24.05/24.28  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.05/24.28  % SZS output start Refutation
% See solution above
% 24.05/24.28  ||#
% 24.05/24.28  
% 24.05/24.28  ; Summary of computation:
% 24.05/24.28  ;     61704 formulas have been input or derived (from 1030 formulas).
% 24.05/24.28  ;     10011 (16%) were retained.  Of these,
% 24.05/24.28  ;         1527 (15%) were simplified or subsumed later,
% 24.05/24.28  ;         8484 (85%) are still being kept.
% 24.05/24.28  ; 
% 24.05/24.28  ; Run time in seconds excluding printing time:
% 24.05/24.28  ;     0.227   1%   Read assertion file          (1 call)
% 24.05/24.28  ;     0.029   0%   Assert                       (1,242 calls)
% 24.05/24.28  ;     1.620   7%   Process new row              (55,461 calls)
% 24.05/24.28  ;     3.391  14%   Resolution                   (2,058 calls)
% 24.05/24.28  ;     0.069   0%   Paramodulation               (1,029 calls)
% 24.05/24.28  ;     0.000   0%   Factoring                    (6 calls)
% 24.05/24.28  ;     0.233   1%   Condensing                   (20,230 calls)
% 24.05/24.28  ;     9.475  40%   Forward subsumption          (20,230 calls)
% 24.05/24.28  ;     0.628   3%   Backward subsumption         (5,590 calls)
% 24.05/24.28  ;     0.491   2%   Clause clause subsumption    (87,076 calls)
% 24.05/24.28  ;     4.687  20%   Forward simplification       (55,444 calls)
% 24.05/24.28  ;     0.340   1%   Backward simplification      (10,006 calls)
% 24.05/24.28  ;     2.399  10%   Ordering                     (365,512 calls)
% 24.05/24.28  ;     0.000   0%   Sortal reasoning             (32 calls)
% 24.05/24.28  ;     0.003   0%   Purity testing               (1 call)
% 24.05/24.28  ;     0.222   1%   Other
% 24.05/24.28  ;    23.814        Total
% 24.05/24.28  ;    23.825        Real time
% 24.05/24.28  ; 
% 24.05/24.28  ; Term-hash-array has 19,775 terms in all.
% 24.05/24.28  ; Feature-vector-row-index has 5,043 entries (5,252 at peak, 5,590 added, 547 deleted).
% 24.05/24.28  ; Feature-vector-row-index has 45,991 nodes (48,426 at peak, 51,512 added, 5,521 deleted).
% 24.05/24.28  ;  Retrieved 253,100 possibly forward subsuming rows in 20,230 calls.
% 24.05/24.28  ;  Retrieved 7,453 possibly backward subsumed rows in 5,590 calls.
% 24.05/24.28  ; Path-index has 17,323 entries (18,016 at peak, 20,102 added, 2,779 deleted).
% 24.05/24.28  ; Path-index has 87,988 nodes (87,988 at peak, 90,921 added, 2,933 deleted).
% 24.05/24.28  ; Trie-index has 17,323 entries (18,016 at peak, 20,102 added, 2,779 deleted).
% 24.05/24.28  ; Trie-index has 194,613 nodes (200,739 at peak, 223,186 added, 28,573 deleted).
% 24.05/24.28  ; Retrieved 515,909 generalization terms in 807,743 calls.
% 24.05/24.28  ; Retrieved 5,917 instance terms in 4,605 calls.
% 24.05/24.28  ; Retrieved 5,352,699 unifiable terms in 29,832 calls.
% 24.05/24.28  ; 
% 24.05/24.28  ; The agenda of input rows to give has 2 entries:
% 24.05/24.28  ;     1 with value 57              1 with value 83
% 24.05/24.28  ; The agenda of rows to give has 7480 entries:
% 24.05/24.28  ;     2 with value (4 5)          35 with value (4 71)           2 with value (4 139)
% 24.05/24.28  ;     3 with value (4 6)          24 with value (4 72)           6 with value (4 140)
% 24.05/24.28  ;    11 with value (4 7)          37 with value (4 73)           4 with value (4 142)
% 24.05/24.28  ;    27 with value (4 8)          23 with value (4 74)           4 with value (4 143)
% 24.05/24.28  ;    38 with value (4 9)          21 with value (4 75)           1 with value (4 144)
% 24.05/24.28  ;    54 with value (4 10)         20 with value (4 76)           2 with value (4 146)
% 24.05/24.28  ;    81 with value (4 11)         19 with value (4 77)           3 with value (4 148)
% 24.05/24.28  ;    71 with value (4 12)         26 with value (4 78)           4 with value (4 149)
% 24.05/24.28  ;    75 with value (4 13)         14 with value (4 79)           4 with value (4 150)
% 24.05/24.28  ;    80 with value (4 14)         28 with value (4 80)           1 with value (4 151)
% 24.05/24.28  ;    57 with value (4 15)          7 with value (4 81)           4 with value (4 153)
% 24.05/24.28  ;    98 with value (4 16)         24 with value (4 82)           2 with value (4 154)
% 24.05/24.28  ;    91 with value (4 17)         15 with value (4 83)           1 with value (4 156)
% 24.05/24.28  ;   135 with value (4 18)         11 with value (4 84)           9 with value (4 157)
% 24.05/24.28  ;   119 with value (4 19)         15 with value (4 85)           5 with value (4 158)
% 24.05/24.28  ;   156 with value (4 20)         12 with value (4 86)           2 with value (4 159)
% 24.05/24.28  ;   136 with value (4 21)         15 with value (4 87)           2 with value (4 161)
% 24.05/24.28  ;   150 with value (4 22)          9 with value (4 88)           9 with value (4 162)
% 24.05/24.28  ;   158 with value (4 23)         19 with value (4 89)           3 with value (4 163)
% 24.05/24.28  ;   133 with value (4 24)          5 with value (4 90)           4 with value (4 164)
% 24.05/24.28  ;   223 with value (4 25)         20 with value (4 91)           6 with value (4 166)
% 24.05/24.28  ;   190 with value (4 26)         13 with value (4 92)           1 with value (4 167)
% 24.05/24.28  ;   199 with value (4 27)          7 with value (4 93)           5 with value (4 168)
% 24.05/24.28  ;   152 with value (4 28)         11 with value (4 94)           1 with value (4 169)
% 24.05/24.28  ;   202 with value (4 29)         14 with value (4 95)           2 with value (4 170)
% 24.05/24.28  ;   136 with value (4 30)         22 with value (4 96)           1 with value (4 172)
% 24.05/24.28  ;   164 with value (4 31)         22 with value (4 97)           1 with value (4 173)
% 24.05/24.28  ;   175 with value (4 32)         15 with value (4 98)           1 with value (4 175)
% 24.05/24.28  ;   175 with value (4 33)         15 with value (4 99)           2 with value (4 176)
% 24.05/24.28  ;   192 with value (4 34)         16 with value (4 100)          1 with value (4 177)
% 24.05/24.28  ;   219 with value (4 35)         15 with value (4 101)          1 with value (4 178)
% 24.05/24.28  ;   159 with value (4 36)         18 with value (4 102)          1 with value (4 182)
% 24.05/24.28  ;   145 with value (4 37)         14 with value (4 103)          1 with value (4 183)
% 24.05/24.28  ;   138 with value (4 38)         18 with value (4 104)          1 with value (4 184)
% 24.05/24.28  ;   112 with value (4 39)         12 with value (4 105)          1 with value (4 185)
% 24.05/24.28  ;   144 with value (4 40)         10 with value (4 106)          2 with value (4 186)
% 24.05/24.28  ;   116 with value (4 41)         16 with value (4 107)          1 with value (4 191)
% 24.05/24.28  ;    86 with value (4 42)          9 with value (4 108)          1 with value (4 192)
% 24.05/24.28  ;   120 with value (4 43)         10 with value (4 109)          2 with value (4 193)
% 24.05/24.28  ;    71 with value (4 44)         12 with value (4 110)          1 with value (4 194)
% 24.05/24.28  ;    98 with value (4 45)          7 with value (4 111)          1 with value (4 196)
% 24.05/24.28  ;   130 with value (4 46)          8 with value (4 112)          2 with value (4 198)
% 24.05/24.28  ;   139 with value (4 47)         12 with value (4 113)          2 with value (4 199)
% 24.05/24.28  ;   101 with value (4 48)         11 with value (4 114)          2 with value (4 208)
% 24.05/24.28  ;    96 with value (4 49)         11 with value (4 115)          4 with value (4 210)
% 24.05/24.28  ;    75 with value (4 50)          9 with value (4 116)          1 with value (4 211)
% 24.05/24.28  ;    84 with value (4 51)         17 with value (4 117)          2 with value (4 212)
% 24.05/24.28  ;   107 with value (4 52)          7 with value (4 118)          1 with value (4 215)
% 24.05/24.28  ;    58 with value (4 53)          5 with value (4 119)          1 with value (4 216)
% 24.05/24.28  ;    68 with value (4 54)          5 with value (4 120)          1 with value (4 218)
% 24.05/24.28  ;    63 with value (4 55)          4 with value (4 121)          1 with value (4 223)
% 24.05/24.28  ;    53 with value (4 56)         10 with value (4 122)          1 with value (4 225)
% 24.05/24.28  ;    72 with value (4 57)          8 with value (4 125)          1 with value (4 226)
% 24.05/24.28  ;    57 with value (4 58)          5 with value (4 126)          1 with value (4 231)
% 24.05/24.28  ;    71 with value (4 59)          4 with value (4 127)          2 with value (4 232)
% 24.05/24.28  ;    54 with value (4 60)          4 with value (4 128)          1 with value (4 234)
% 24.05/24.28  ;    65 with value (4 61)          2 with value (4 129)          1 with value (4 237)
% 24.05/24.28  ;    39 with value (4 62)          2 with value (4 130)          1 with value (4 248)
% 24.05/24.28  ;    40 with value (4 63)          6 with value (4 131)          3 with value (4 256)
% 24.05/24.28  ;    49 with value (4 64)          3 with value (4 132)          2 with value (4 257)
% 24.05/24.28  ;    50 with value (4 65)          3 with value (4 133)          1 with value (4 264)
% 24.05/24.28  ;    37 with value (4 66)          1 with value (4 134)          2 with value (4 279)
% 24.05/24.28  ;    34 with value (4 67)          1 with value (4 135)          1 with value (4 470)
% 24.05/24.28  ;    27 with value (4 68)          3 with value (4 136)          1 with value (4 473)
% 24.05/24.28  ;    34 with value (4 69)          5 with value (4 137)          1 with value (4 601)
% 24.05/24.28  ;    16 with value (4 70)          6 with value (4 138)          1 with value (4 634)
% 24.05/24.28  Evaluation took:
% 24.05/24.28    23.832 seconds of real time
% 24.05/24.28    22.441051 seconds of user run time
% 24.05/24.28    1.381154 seconds of system run time
% 24.05/24.28    [Run times include 3.742 seconds GC run time.]
% 24.05/24.28    0 calls to %EVAL
% 24.05/24.28    0 page faults and
% 24.05/24.28    2,127,419,216 bytes consed.
% 24.05/24.28  :PROOF-FOUND
% 24.05/24.28  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T14:51:15
% 24.05/24.28  :PROOF-FOUND
% 24.05/24.28  * 
%------------------------------------------------------------------------------