TSTP Solution File: SWW829_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW829_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 21 01:25:49 EDT 2022

% Result   : Unsatisfiable 6.22s 6.47s
% Output   : Refutation 6.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')

% Comments : 
%------------------------------------------------------------------------------
tff(2,axiom,
    ! [X: 'S2'] : ( 'SKOLEMAAAV1.S3'(X) = f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).

tff(3,axiom,
    ! [X: 'S2'] : ( 'SKOLEMAAAV2.$int'(X) = $product(2,f13(f14,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).

tff(4,axiom,
    ! [X: 'S2'] : ( f3(f4,X) = f5(f6(f7,f5(f6(f7,f3('SKOLEMAAAV1.S3'(X),f16)),f3('SKOLEMAAAV1.S3'(X),f11(f12,f17(f18(f19,f13(f14,f16)),'SKOLEMAAAV2.$int'(X)))))),f3(f20,f11(f12,$sum('SKOLEMAAAV2.$int'(X),1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).

tff(5,plain,
    ! [X: 'S2'] : ( f3(f4,X) = f5(f6(f7,f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f11(f12,f17(f18(f19,f13(f14,f16)),$product(2,f13(f14,X))))))),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,X)))))) ),
    inference('REWRITE',[status(thm)],[4,'CODE-FOR-$$SUM',3,2,theory(equality)]) ).

tff(14,axiom,
    ! [X: 'S2'] : ( f3(f24,X) = f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X)),f3(f20,f11(f12,$sum($product(2,f13(f14,X)),1))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).

tff(15,plain,
    ! [X: 'S2'] : ( f3(f24,X) = f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X)),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,X))))))) ),
    inference('REWRITE',[status(thm)],[14,'CODE-FOR-$$SUM']) ).

tff(129,axiom,
    f78(f79(f80,f4),'SKOLEMAAAV22.S34') != f78(f79(f80,f24),'SKOLEMAAAV22.S34'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_64) ).

tff(144,axiom,
    ! [X: 'S2',Y: 'S2',Z: 'S2'] : ( 'SKOLEMAAAV23.S10'(X,Y,Z) = f18(f19,f13(f14,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_67) ).

tff(145,axiom,
    ! [X: 'S2',Y: 'S2',Z: 'S2'] : ( 'SKOLEMAAAV24.$int'(X,Y,Z) = f13(f14,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_67) ).

tff(146,axiom,
    ! [X: 'S2',Y: 'S2',Z: 'S2'] : ( f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X))))),f11(f12,f17('SKOLEMAAAV23.S10'(Y,Z,X),$product(2,'SKOLEMAAAV24.$int'(Y,Z,X))))) = f3(f8(f9,f3(f10,X)),f11(f12,f17('SKOLEMAAAV23.S10'(Y,Z,X),'SKOLEMAAAV24.$int'(Y,Z,X)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_67) ).

tff(147,plain,
    ! [X: 'S2',Y: 'S2',Z: 'S2'] : ( f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,X))))),f11(f12,f17(f18(f19,f13(f14,Y)),$product(2,f13(f14,Z))))) = f3(f8(f9,f3(f10,X)),f11(f12,f17(f18(f19,f13(f14,Y)),f13(f14,Z)))) ),
    inference('REWRITE',[status(thm)],[146,145,144,theory(equality)]) ).

tff(537,axiom,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( 'SKOLEMAAAV164.S5'(X,Y,Z) = f6(f7,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_204) ).

tff(538,axiom,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( f5(f6(f7,f5('SKOLEMAAAV164.S5'(X,Y,Z),Y)),Z) = f5('SKOLEMAAAV164.S5'(X,Y,Z),f5(f6(f7,Y),Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_204) ).

tff(539,plain,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( f5(f6(f7,f5(f6(f7,X),Y)),Z) = f5(f6(f7,X),f5(f6(f7,Y),Z)) ),
    inference('REWRITE',[status(thm)],[538,537,theory(equality)]) ).

tff(555,axiom,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( 'SKOLEMAAAV174.S5'(X,Y,Z) = f6(f7,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_212) ).

tff(556,axiom,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( 'SKOLEMAAAV175.S5'(X,Y,Z) = f6(f7,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_212) ).

tff(557,axiom,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( f5('SKOLEMAAAV174.S5'(X,Y,Z),f5('SKOLEMAAAV175.S5'(X,Y,Z),Z)) = f5('SKOLEMAAAV175.S5'(X,Y,Z),f5('SKOLEMAAAV174.S5'(X,Y,Z),Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_212) ).

tff(558,plain,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( f5(f6(f7,X),f5(f6(f7,Y),Z)) = f5(f6(f7,Y),f5(f6(f7,X),Z)) ),
    inference('REWRITE',[status(thm)],[557,556,555,theory(equality)]) ).

tff(565,axiom,
    ! [X: 'S4',Y: 'S4'] : ( f5(f6(f7,X),Y) = f5(f6(f7,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_216) ).

tff(701,axiom,
    ! [X: 'S4',Y: 'S2',Z: 'S2'] : ( 'SKOLEMAAAV229.S3'(X,Y,Z) = f8(f9,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_274) ).

tff(702,axiom,
    ! [X: 'S4',Y: 'S2',Z: 'S2'] : ( f3(f8(f9,f3('SKOLEMAAAV229.S3'(X,Y,Z),Y)),Z) = f3('SKOLEMAAAV229.S3'(X,Y,Z),f11(f12,f17(f18(f19,f13(f14,Y)),f13(f14,Z)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_274) ).

tff(703,plain,
    ! [X: 'S4',Y: 'S2',Z: 'S2'] : ( f3(f8(f9,f3(f8(f9,X),Y)),Z) = f3(f8(f9,X),f11(f12,f17(f18(f19,f13(f14,Y)),f13(f14,Z)))) ),
    inference('REWRITE',[status(thm)],[702,701,theory(equality)]) ).

tff(972,axiom,
    ! [X: 'S34',Y: 'S34',Z: 'S3',U: 'S3'] :
      ( ( X != Y )
      | ( f3(Z,'SKOLEMAAAV306.S2'(Y,Z,U)) != f3(U,'SKOLEMAAAV306.S2'(Y,Z,U)) )
      | ( f78(f79(f80,Z),X) = f78(f79(f80,U),Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_370) ).

tff(1013,plain,
    ! [X: 'S2'] : ( f3(f24,X) = f5(f6(f7,f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X)),f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f3(f20,f11(f12,$sum(1,$product(2,f13(f14,X))))))) ),
    inference('REWRITE',[status(thm)],[15,558,theory(equality)]) ).

tff(1021,plain,
    ! [X: 'S2'] : ( f3(f4,X) = f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f20,f11(f12,$sum(1,$product(2,f13(f14,X)))))),f3(f8(f9,f3(f10,f15)),f11(f12,f17(f18(f19,f13(f14,f16)),f13(f14,X)))))) ),
    inference('REWRITE',[status(thm)],[5,565,539,147,theory(equality)]) ).

tff(1452,plain,
    ! [X: 'S4',Y: 'S4',Z: 'S4'] : ( f5(f6(f7,X),f5(f6(f7,Y),Z)) = f5(f6(f7,f5(f6(f7,X),Z)),Y) ),
    inference('PARAMODULATE',[status(thm)],[565,558,theory(equality)]) ).

tff(2776,plain,
    f3(f24,'SKOLEMAAAV306.S2'('SKOLEMAAAV22.S34',f24,f4)) != f3(f4,'SKOLEMAAAV306.S2'('SKOLEMAAAV22.S34',f24,f4)),
    inference('UR-RESOLVE',[status(thm)],[972,129,theory(equality)]) ).

tff(5068,plain,
    ! [X: 'S2'] : ( f5(f6(f7,f3(f8(f9,f3(f10,f11(f12,$product(2,f13(f14,f15))))),f16)),f5(f6(f7,f3(f20,f11(f12,$sum(1,$product(2,f13(f14,X)))))),f3(f8(f9,f3(f8(f9,f3(f10,f15)),f16)),X))) = f3(f24,X) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[539,1013,theory(equality)]),1452,565,theory(equality)]) ).

tff(5227,plain,
    ! [X: 'S2'] : ( f3(f4,X) = f3(f24,X) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1021,703,theory(equality)]),5068,theory(equality)]) ).

cnf(5228,plain,
    $false,
    inference('REWRITE',[status(thm)],[2776,5227,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW829_1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun  5 16:03:17 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T16:03:17
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-05T16:03:17
% 6.22/6.47  
% 6.22/6.47  
% 6.22/6.47  #||
% 6.22/6.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.22/6.47  % SZS output start Refutation
% See solution above
% 6.22/6.47  ||#
% 6.22/6.47  
% 6.22/6.47  ; Summary of computation:
% 6.22/6.47  ;     12736 formulas have been input or derived (from 625 formulas).
% 6.22/6.47  ;      5228 (41%) were retained.  Of these,
% 6.22/6.47  ;          552 (11%) were simplified or subsumed later,
% 6.22/6.47  ;         4676 (89%) are still being kept.
% 6.22/6.47  ; 
% 6.22/6.47  ; Run time in seconds excluding printing time:
% 6.22/6.47  ;     0.144   2%   Read assertion file          (1 call)
% 6.22/6.47  ;     0.021   0%   Assert                       (391 calls)
% 6.22/6.47  ;     1.064  18%   Process new row              (10,090 calls)
% 6.22/6.47  ;     0.353   6%   Resolution                   (1,248 calls)
% 6.22/6.47  ;     0.151   3%   Paramodulation               (624 calls)
% 6.22/6.47  ;     0.000   0%   Factoring                    (12 calls)
% 6.22/6.47  ;     0.033   1%   Condensing                   (1,537 calls)
% 6.22/6.47  ;     0.322   5%   Forward subsumption          (1,537 calls)
% 6.22/6.47  ;     0.057   1%   Backward subsumption         (990 calls)
% 6.22/6.47  ;     0.016   0%   Clause clause subsumption    (1,981 calls)
% 6.22/6.47  ;     1.633  27%   Forward simplification       (9,697 calls)
% 6.22/6.47  ;     0.285   5%   Backward simplification      (4,902 calls)
% 6.22/6.47  ;     1.401  23%   Ordering                     (148,537 calls)
% 6.22/6.47  ;     0.379   6%   Ordering ac                  (8,214 calls)
% 6.22/6.47  ;     0.064   1%   Sortal reasoning             (81,090 calls)
% 6.22/6.47  ;     0.001   0%   Purity testing               (1 call)
% 6.22/6.47  ;     0.058   1%   Other
% 6.22/6.47  ;     5.982        Total
% 6.22/6.47  ;     5.988        Real time
% 6.31/6.47  ; 
% 6.31/6.48  ; Term-hash-array has 25,331 terms in all.
% 6.31/6.48  ; Feature-vector-row-index has 953 entries (953 at peak, 990 added, 37 deleted).
% 6.31/6.48  ; Feature-vector-row-index has 21,578 nodes (21,578 at peak, 22,033 added, 455 deleted).
% 6.31/6.48  ;  Retrieved 2,620 possibly forward subsuming rows in 1,537 calls.
% 6.31/6.48  ;  Retrieved 268 possibly backward subsumed rows in 990 calls.
% 6.31/6.48  ; Path-index has 24,802 entries (24,824 at peak, 25,821 added, 1,019 deleted).
% 6.31/6.48  ; Path-index has 69,870 nodes (69,900 at peak, 71,067 added, 1,197 deleted).
% 6.31/6.48  ; Trie-index has 24,802 entries (24,824 at peak, 25,821 added, 1,019 deleted).
% 6.31/6.48  ; Trie-index has 128,781 nodes (128,936 at peak, 133,352 added, 4,571 deleted).
% 6.31/6.48  ; Retrieved 1,697,427 generalization terms in 98,451 calls.
% 6.31/6.48  ; Retrieved 16,038 instance terms in 9,468 calls.
% 6.31/6.48  ; Retrieved 310,248 unifiable terms in 6,893 calls.
% 6.31/6.48  ; 
% 6.31/6.48  ; The agenda of backward simplifiable rows to process has 5 entries:
% 6.31/6.48  ;     5 with value 0
% 6.31/6.48  ; The agenda of rows to process has 45 entries:
% 6.31/6.48  ;     1 with value 57              1 with value 74               1 with value 107
% 6.31/6.48  ;     5 with value 61              1 with value 75               1 with value 114
% 6.31/6.48  ;     6 with value 62              2 with value 78               1 with value 115
% 6.31/6.48  ;     1 with value 63              3 with value 79               4 with value 136
% 6.31/6.48  ;     3 with value 70              2 with value 87               1 with value 137
% 6.31/6.48  ;     3 with value 71              1 with value 102              4 with value 142
% 6.31/6.48  ;     2 with value 72              2 with value 105
% 6.31/6.48  ; The agenda of input rows to give has 43 entries:
% 6.31/6.48  ;     1 with value 60              1 with value 72               8 with value 106
% 6.31/6.48  ;     1 with value 61              1 with value 86               8 with value 109
% 6.31/6.48  ;     1 with value 62              8 with value 91               2 with value 121
% 6.31/6.48  ;     1 with value 64              8 with value 94               2 with value 124
% 6.31/6.48  ;     1 with value 70
% 6.31/6.48  ; The agenda of rows to give has 4034 entries:
% 6.31/6.48  ;     1 with value (4 8)          62 with value (4 52)          12 with value (4 94)
% 6.31/6.48  ;     1 with value (4 10)         69 with value (4 53)           9 with value (4 95)
% 6.31/6.48  ;     4 with value (4 11)         76 with value (4 54)           3 with value (4 96)
% 6.31/6.48  ;     4 with value (4 12)         84 with value (4 55)           7 with value (4 97)
% 6.31/6.48  ;     1 with value (4 13)         91 with value (4 56)           9 with value (4 98)
% 6.31/6.48  ;     4 with value (4 14)         48 with value (4 57)          11 with value (4 99)
% 6.31/6.48  ;     3 with value (4 15)         78 with value (4 58)           5 with value (4 100)
% 6.31/6.48  ;     4 with value (4 16)         89 with value (4 59)           6 with value (4 101)
% 6.31/6.48  ;     3 with value (4 17)         98 with value (4 60)          10 with value (4 102)
% 6.31/6.48  ;     2 with value (4 18)         65 with value (4 61)           3 with value (4 103)
% 6.31/6.48  ;     3 with value (4 19)         58 with value (4 62)           1 with value (4 104)
% 6.31/6.48  ;    18 with value (4 20)         66 with value (4 63)           6 with value (4 105)
% 6.31/6.48  ;     8 with value (4 21)         57 with value (4 64)           9 with value (4 106)
% 6.31/6.48  ;     8 with value (4 22)         76 with value (4 65)           7 with value (4 107)
% 6.31/6.48  ;     1 with value (4 23)         56 with value (4 66)           1 with value (4 108)
% 6.31/6.48  ;    12 with value (4 24)         37 with value (4 67)           2 with value (4 110)
% 6.31/6.48  ;    41 with value (4 25)         63 with value (4 68)           4 with value (4 111)
% 6.31/6.48  ;    29 with value (4 26)         68 with value (4 69)           2 with value (4 114)
% 6.31/6.48  ;    24 with value (4 27)         41 with value (4 70)           5 with value (4 115)
% 6.31/6.48  ;    15 with value (4 28)         44 with value (4 71)           1 with value (4 116)
% 6.31/6.48  ;    64 with value (4 29)         40 with value (4 72)           1 with value (4 118)
% 6.31/6.48  ;    89 with value (4 30)         46 with value (4 73)           5 with value (4 119)
% 6.31/6.48  ;    56 with value (4 31)         24 with value (4 74)           2 with value (4 120)
% 6.31/6.48  ;    80 with value (4 32)         25 with value (4 75)           1 with value (4 121)
% 6.31/6.48  ;    87 with value (4 33)         38 with value (4 76)           1 with value (4 122)
% 6.31/6.48  ;   138 with value (4 34)         40 with value (4 77)           2 with value (4 123)
% 6.31/6.48  ;   108 with value (4 35)         19 with value (4 78)           2 with value (4 124)
% 6.31/6.48  ;    88 with value (4 36)         17 with value (4 79)           1 with value (4 125)
% 6.31/6.48  ;    67 with value (4 37)         22 with value (4 80)           4 with value (4 127)
% 6.31/6.48  ;    74 with value (4 38)         26 with value (4 81)           3 with value (4 130)
% 6.31/6.48  ;    79 with value (4 39)         13 with value (4 82)           1 with value (4 131)
% 6.31/6.48  ;    60 with value (4 40)          8 with value (4 83)           1 with value (4 133)
% 6.31/6.48  ;    70 with value (4 41)         12 with value (4 84)           2 with value (4 134)
% 6.31/6.48  ;   103 with value (4 42)          9 with value (4 85)           2 with value (4 135)
% 6.31/6.48  ;    87 with value (4 43)          7 with value (4 86)           5 with value (4 138)
% 6.31/6.48  ;    70 with value (4 44)         11 with value (4 87)           2 with value (4 139)
% 6.31/6.48  ;    78 with value (4 45)          9 with value (4 88)           4 with value (4 142)
% 6.31/6.48  ;    76 with value (4 46)         14 with value (4 89)           2 with value (4 146)
% 6.31/6.48  ;    74 with value (4 47)          7 with value (4 90)           2 with value (4 159)
% 6.31/6.48  ;    79 with value (4 48)         15 with value (4 91)           1 with value (4 177)
% 6.31/6.48  ;    82 with value (4 49)         10 with value (4 92)           1 with value (4 350)
% 6.31/6.48  ;   106 with value (4 50)          9 with value (4 93)           1 with value (4 358)
% 6.31/6.48  ;   127 with value (4 51)
% 6.31/6.48  Evaluation took:
% 6.31/6.48    5.991 seconds of real time
% 6.31/6.48    5.532732 seconds of user run time
% 6.31/6.48    0.455952 seconds of system run time
% 6.31/6.48    [Run times include 0.995 seconds GC run time.]
% 6.31/6.48    0 calls to %EVAL
% 6.31/6.48    0 page faults and
% 6.31/6.48    357,700,800 bytes consed.
% 6.31/6.48  :PROOF-FOUND
% 6.31/6.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-05T16:03:23
% 6.31/6.48  :PROOF-FOUND
% 6.31/6.48  * 
%------------------------------------------------------------------------------