TSTP Solution File: SWW208+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW208+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 01:24:41 EDT 2022

% Result   : Theorem 32.37s 32.58s
% Output   : Refutation 32.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   7 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_rp) ).

cnf(4,axiom,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,X)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_th) ).

cnf(90,axiom,
    ( ~ class_Rings_Olinordered__semidom(X)
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X,Y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(X),Y),c_Groups_Oone__class_Oone(X)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__one) ).

cnf(148,axiom,
    ( ~ class_Orderings_Oorder(X)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(X,Y),Z))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(X,U),Y))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless(X,U),Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I7_J) ).

cnf(1397,axiom,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).

cnf(1424,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).

cnf(1525,negated_conjecture,
    ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_OIm,hAPP(v_s,hAPP(v_f____,hAPP(v_ga____,'SKOLEMAAAV76')))))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

cnf(1526,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference('REWRITE',[status(thm)],[1525,4]) ).

cnf(3125,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),X),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))),
    inference('HYPERRESOLVE',[status(thm)],[90,1397]) ).

cnf(10706,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[148,1424,2,1526]),3125]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW208+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun  4 17:28:55 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  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T17:28:55
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-04T17:28:55
% 0.61/0.78  WARNING:
% 0.61/0.78     |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 32.37/32.58  
% 32.37/32.58  
% 32.37/32.58  #||
% 32.37/32.58  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.37/32.58  % SZS output start Refutation
% See solution above
% 32.37/32.58  ||#
% 32.37/32.58  
% 32.37/32.58  ; Summary of computation:
% 32.37/32.58  ;    288045 formulas have been input or derived (from 946 formulas).
% 32.37/32.58  ;     10706 ( 4%) were retained.  Of these,
% 32.37/32.58  ;          446 ( 4%) were simplified or subsumed later,
% 32.37/32.58  ;        10260 (96%) are still being kept.
% 32.37/32.58  ; 
% 32.37/32.58  ; Run time in seconds:
% 32.37/32.58  ;     0.266   1%   Read assertion file          (1 call)
% 32.37/32.58  ;     0.029   0%   Assert                       (1,269 calls)
% 32.37/32.58  ;     2.113   7%   Process new row              (277,796 calls)
% 32.37/32.58  ;     7.133  22%   Resolution                   (1,890 calls)
% 32.37/32.58  ;     0.208   1%   Paramodulation               (945 calls)
% 32.37/32.58  ;     0.000   0%   Factoring                    (18 calls)
% 32.37/32.58  ;     0.365   1%   Condensing                   (28,476 calls)
% 32.37/32.58  ;     2.807   9%   Forward subsumption          (28,476 calls)
% 32.37/32.58  ;     0.528   2%   Backward subsumption         (5,172 calls)
% 32.37/32.58  ;     0.598   2%   Clause clause subsumption    (39,280 calls)
% 32.37/32.58  ;    13.240  41%   Forward simplification       (273,990 calls)
% 32.37/32.58  ;     0.150   0%   Backward simplification      (10,667 calls)
% 32.37/32.58  ;     3.731  12%   Ordering                     (875,039 calls)
% 32.37/32.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 32.37/32.58  ;     0.003   0%   Purity testing               (1 call)
% 32.37/32.58  ;     0.941   3%   Other
% 32.37/32.58  ;    32.112        Total
% 32.37/32.58  ;    32.113        Real time
% 32.37/32.58  ; 
% 32.42/32.58  ; Term-hash-array has 32,125 terms in all.
% 32.42/32.58  ; Feature-vector-row-index has 4,917 entries (4,917 at peak, 5,172 added, 255 deleted).
% 32.42/32.58  ; Feature-vector-row-index has 53,871 nodes (53,874 at peak, 56,813 added, 2,942 deleted).
% 32.42/32.58  ;  Retrieved 60,635 possibly forward subsuming rows in 28,476 calls.
% 32.42/32.58  ;  Retrieved 2,601 possibly backward subsumed rows in 5,172 calls.
% 32.42/32.58  ; Path-index has 31,619 entries (31,619 at peak, 32,439 added, 820 deleted).
% 32.42/32.58  ; Path-index has 65,508 nodes (65,508 at peak, 66,392 added, 884 deleted).
% 32.42/32.58  ; Trie-index has 31,619 entries (31,619 at peak, 32,439 added, 820 deleted).
% 32.42/32.58  ; Trie-index has 203,573 nodes (203,573 at peak, 207,464 added, 3,891 deleted).
% 32.42/32.58  ; Retrieved 1,682,742 generalization terms in 2,889,964 calls.
% 32.42/32.58  ; Retrieved 13,751 instance terms in 8,739 calls.
% 32.42/32.58  ; Retrieved 7,385,003 unifiable terms in 78,660 calls.
% 32.42/32.58  ; 
% 32.42/32.58  ; The agenda of rows to process has 259 entries:
% 32.42/32.58  ;     2 with value 18             15 with value 27               1 with value 36
% 32.42/32.58  ;    28 with value 19             15 with value 28               6 with value 37
% 32.42/32.58  ;    20 with value 20             11 with value 29               6 with value 38
% 32.42/32.58  ;    17 with value 21             15 with value 30               4 with value 39
% 32.42/32.58  ;    21 with value 22              8 with value 31               1 with value 40
% 32.42/32.58  ;    12 with value 23             13 with value 32               2 with value 41
% 32.42/32.59  ;    11 with value 24              6 with value 33               1 with value 48
% 32.42/32.59  ;    21 with value 25              8 with value 34               2 with value 50
% 32.42/32.59  ;    13 with value 26
% 32.42/32.59  ; The agenda of input rows to give has 533 entries:
% 32.42/32.59  ;    17 with value 30             11 with value 46               2 with value 62
% 32.42/32.59  ;    45 with value 31              7 with value 47               5 with value 63
% 32.42/32.59  ;    32 with value 32              6 with value 48               7 with value 64
% 32.42/32.59  ;    35 with value 33              4 with value 49               6 with value 65
% 32.42/32.59  ;    39 with value 34              6 with value 50               2 with value 66
% 32.42/32.59  ;    22 with value 35              3 with value 51               1 with value 67
% 32.42/32.59  ;    22 with value 36              7 with value 52               1 with value 68
% 32.42/32.59  ;    22 with value 37             10 with value 53               4 with value 69
% 32.42/32.59  ;    21 with value 38              4 with value 54               4 with value 70
% 32.42/32.59  ;    24 with value 39              6 with value 55               1 with value 71
% 32.42/32.59  ;    12 with value 40              2 with value 56               2 with value 72
% 32.42/32.59  ;    18 with value 41              4 with value 57               2 with value 85
% 32.42/32.59  ;    41 with value 42              2 with value 58               1 with value 87
% 32.42/32.59  ;    22 with value 43              3 with value 60               1 with value 102
% 32.42/32.59  ;    15 with value 44              1 with value 61               1 with value 103
% 32.42/32.59  ;    30 with value 45
% 32.42/32.59  ; The agenda of rows to give has 8804 entries:
% 32.42/32.59  ;     1 with value (4 4)         278 with value (4 28)          45 with value (4 52)
% 32.42/32.59  ;     1 with value (4 5)         280 with value (4 29)          37 with value (4 53)
% 32.42/32.59  ;   159 with value (4 6)         362 with value (4 30)          40 with value (4 54)
% 32.42/32.59  ;    14 with value (4 7)         200 with value (4 31)         126 with value (4 55)
% 32.42/32.59  ;    10 with value (4 8)         214 with value (4 32)          90 with value (4 56)
% 32.42/32.59  ;     9 with value (4 9)         359 with value (4 33)          53 with value (4 57)
% 32.42/32.59  ;    21 with value (4 10)        439 with value (4 34)          33 with value (4 58)
% 32.42/32.59  ;    31 with value (4 11)        393 with value (4 35)          23 with value (4 59)
% 32.42/32.59  ;    57 with value (4 12)        261 with value (4 36)          29 with value (4 60)
% 32.42/32.59  ;    73 with value (4 13)        190 with value (4 37)          26 with value (4 61)
% 32.42/32.59  ;    62 with value (4 14)        309 with value (4 38)          17 with value (4 62)
% 32.42/32.59  ;    79 with value (4 15)        213 with value (4 39)          18 with value (4 63)
% 32.42/32.59  ;    41 with value (4 16)        247 with value (4 40)          13 with value (4 64)
% 32.42/32.59  ;    50 with value (4 17)        260 with value (4 41)          15 with value (4 65)
% 32.42/32.59  ;    90 with value (4 18)        233 with value (4 42)          21 with value (4 66)
% 32.42/32.59  ;   118 with value (4 19)        103 with value (4 43)          11 with value (4 67)
% 32.42/32.59  ;   127 with value (4 20)        158 with value (4 44)           3 with value (4 68)
% 32.42/32.59  ;   144 with value (4 21)        283 with value (4 45)          11 with value (4 69)
% 32.42/32.59  ;   138 with value (4 22)        238 with value (4 46)          27 with value (4 70)
% 32.42/32.59  ;   309 with value (4 23)        203 with value (4 47)          42 with value (4 75)
% 32.42/32.59  ;   227 with value (4 24)        123 with value (4 48)          10 with value (4 76)
% 32.42/32.59  ;   209 with value (4 25)        136 with value (4 49)          10 with value (4 77)
% 32.42/32.59  ;   259 with value (4 26)         58 with value (4 50)           1 with value (4 81)
% 32.42/32.59  ;   220 with value (4 27)        104 with value (4 51)          10 with value (4 86)
% 32.42/32.59  Evaluation took:
% 32.42/32.59    32.12 seconds of real time
% 32.42/32.59    29.543716 seconds of user run time
% 32.42/32.59    2.575406 seconds of system run time
% 32.42/32.59    [Run times include 4.886 seconds GC run time.]
% 32.42/32.59    0 calls to %EVAL
% 32.42/32.59    0 page faults and
% 32.42/32.59    2,115,074,672 bytes consed.
% 32.42/32.59  :PROOF-FOUND
% 32.42/32.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T17:29:27
% 32.42/32.59  :PROOF-FOUND
% 32.42/32.59  * 
%------------------------------------------------------------------------------