TSTP Solution File: NUM588+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM588+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 : Mon Jul 18 14:11:58 EDT 2022

% Result   : Theorem 1.81s 2.07s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aElementOf0(Z,Y)
    | aElementOf0(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(2738,negated_conjecture,
    aSet0(sdtmndt0(sdtlpdtrp0(xN,'SKOLEMAAAV36'),szmzizndt0(sdtlpdtrp0(xN,'SKOLEMAAAV36')))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2745,negated_conjecture,
    aSubsetOf0('SKOLEMAAAV37',sdtmndt0(sdtlpdtrp0(xN,'SKOLEMAAAV36'),szmzizndt0(sdtlpdtrp0(xN,'SKOLEMAAAV36')))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2748,negated_conjecture,
    ( ~ aElementOf0(X,'SKOLEMAAAV38')
    | aElementOf0(X,'SKOLEMAAAV37') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2752,negated_conjecture,
    aElementOf0('SKOLEMAAAV39','SKOLEMAAAV38'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2753,negated_conjecture,
    ~ aElementOf0('SKOLEMAAAV39',sdtmndt0(sdtlpdtrp0(xN,'SKOLEMAAAV36'),szmzizndt0(sdtlpdtrp0(xN,'SKOLEMAAAV36')))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(2781,plain,
    aElementOf0('SKOLEMAAAV39','SKOLEMAAAV37'),
    inference('HYPERRESOLVE',[status(thm)],[2748,2752]) ).

cnf(2853,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,2738,2745,2753]),2781]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM588+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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 Jul  6 21:29:44 EDT 2022
% 0.13/0.35  % 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 2022-07-06T21:29:44
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-06T21:29:44
% 1.81/2.07  
% 1.81/2.07  
% 1.81/2.07  #||
% 1.81/2.07  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.07  % SZS output start Refutation
% See solution above
% 1.91/2.07  ||#
% 1.91/2.07  
% 1.91/2.07  ; Summary of computation:
% 1.91/2.07  ;      3317 formulas have been input or derived (from 78 formulas).
% 1.91/2.07  ;      2853 (86%) were retained.  Of these,
% 1.91/2.07  ;           82 ( 3%) were simplified or subsumed later,
% 1.91/2.07  ;         2771 (97%) are still being kept.
% 1.91/2.07  ; 
% 1.91/2.07  ; Run time in seconds excluding printing time:
% 1.91/2.07  ;     0.037   2%   Read assertion file          (1 call)
% 1.91/2.07  ;     0.150   9%   Assert                       (88 calls)
% 1.91/2.07  ;     0.312  20%   Process new row              (3,287 calls)
% 1.91/2.07  ;     0.067   4%   Resolution                   (154 calls)
% 1.91/2.07  ;     0.001   0%   Paramodulation               (77 calls)
% 1.91/2.07  ;     0.089   6%   Condensing                   (3,055 calls)
% 1.91/2.07  ;     0.594  37%   Forward subsumption          (3,055 calls)
% 1.91/2.07  ;     0.138   9%   Backward subsumption         (2,710 calls)
% 1.91/2.07  ;     0.015   1%   Clause clause subsumption    (3,176 calls)
% 1.91/2.07  ;     0.136   9%   Forward simplification       (3,287 calls)
% 1.91/2.07  ;     0.005   0%   Backward simplification      (2,841 calls)
% 1.91/2.07  ;     0.000   0%   Ordering                     (56 calls)
% 1.91/2.07  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.91/2.07  ;     0.015   1%   Purity testing               (1 call)
% 1.91/2.07  ;     0.033   2%   Other
% 1.91/2.07  ;     1.592        Total
% 1.91/2.07  ;     1.595        Real time
% 1.91/2.07  ; 
% 1.91/2.08  ; Term-hash-array has 594 terms in all.
% 1.91/2.08  ; Feature-vector-row-index has 2,640 entries (2,662 at peak, 2,710 added, 70 deleted).
% 1.91/2.08  ; Feature-vector-row-index has 36,066 nodes (36,660 at peak, 37,261 added, 1,195 deleted).
% 1.91/2.08  ;  Retrieved 4,436 possibly forward subsuming rows in 3,055 calls.
% 1.91/2.08  ;  Retrieved 121 possibly backward subsumed rows in 2,710 calls.
% 1.91/2.08  ; Path-index has 604 entries (604 at peak, 612 added, 8 deleted).
% 1.91/2.08  ; Path-index has 1,594 nodes (1,594 at peak, 1,598 added, 4 deleted).
% 1.91/2.08  ; Trie-index has 604 entries (604 at peak, 612 added, 8 deleted).
% 1.91/2.08  ; Trie-index has 1,472 nodes (1,472 at peak, 1,481 added, 9 deleted).
% 1.91/2.08  ; Retrieved 147 generalization terms in 29,247 calls.
% 1.91/2.08  ; Retrieved 130 instance terms in 130 calls.
% 1.91/2.08  ; Retrieved 12,913 unifiable terms in 846 calls.
% 1.91/2.08  ; 
% 1.91/2.08  ; The agenda of rows to process has 1 entry:
% 1.91/2.08  ;     1 with value 15
% 1.91/2.08  ; The agenda of input rows to give has 2596 entries:
% 1.91/2.08  ;     8 with value 15             11 with value 49              51 with value 82
% 1.91/2.08  ;     9 with value 16             10 with value 50              43 with value 83
% 1.91/2.08  ;    10 with value 17             15 with value 51              58 with value 84
% 1.91/2.08  ;     7 with value 18             20 with value 52              59 with value 85
% 1.91/2.08  ;     8 with value 19             24 with value 53              51 with value 86
% 1.91/2.08  ;     9 with value 20             17 with value 54              55 with value 87
% 1.91/2.08  ;    10 with value 21             33 with value 55              44 with value 88
% 1.91/2.08  ;     7 with value 22             36 with value 56              59 with value 89
% 1.91/2.08  ;     3 with value 23             35 with value 57              54 with value 90
% 1.91/2.08  ;    11 with value 24             32 with value 58              34 with value 91
% 1.91/2.08  ;    12 with value 25             27 with value 59              39 with value 92
% 1.91/2.08  ;     2 with value 26             40 with value 60              41 with value 93
% 1.91/2.08  ;     3 with value 27             37 with value 61              36 with value 94
% 1.91/2.08  ;     6 with value 28             26 with value 62              27 with value 95
% 1.91/2.08  ;     4 with value 29             28 with value 63              27 with value 96
% 1.91/2.08  ;     5 with value 30             40 with value 64              35 with value 97
% 1.91/2.08  ;     6 with value 31             39 with value 65              27 with value 98
% 1.91/2.08  ;     6 with value 32             44 with value 66              19 with value 99
% 1.91/2.08  ;     6 with value 33             39 with value 67              28 with value 100
% 1.91/2.08  ;     4 with value 34             53 with value 68              22 with value 101
% 1.91/2.08  ;     7 with value 35             62 with value 69              15 with value 102
% 1.91/2.08  ;     3 with value 36             49 with value 70              21 with value 103
% 1.91/2.08  ;     3 with value 37             59 with value 71              14 with value 104
% 1.91/2.08  ;     3 with value 38             64 with value 72              14 with value 105
% 1.91/2.08  ;    10 with value 39             72 with value 73              15 with value 106
% 1.91/2.08  ;     7 with value 40             70 with value 74              11 with value 107
% 1.91/2.08  ;     8 with value 41             58 with value 75              10 with value 108
% 1.91/2.08  ;     6 with value 42             70 with value 76               8 with value 109
% 1.91/2.08  ;     9 with value 43             68 with value 77              12 with value 110
% 1.91/2.08  ;    12 with value 44             54 with value 78               3 with value 111
% 1.91/2.08  ;     8 with value 45             52 with value 79               2 with value 112
% 1.91/2.08  ;     7 with value 46             60 with value 80               8 with value 113
% 1.91/2.08  ;    13 with value 47             59 with value 81               2 with value 116
% 1.91/2.08  ;    17 with value 48
% 1.91/2.08  ; The agenda of rows to give has 97 entries:
% 1.91/2.08  ;    11 with value (4 4)           5 with value (4 8)            1 with value (4 16)
% 1.91/2.08  ;    23 with value (4 5)           4 with value (4 9)            1 with value (4 22)
% 1.91/2.08  ;    11 with value (4 6)           3 with value (4 11)           1 with value (4 24)
% 1.91/2.08  ;    35 with value (4 7)           1 with value (4 13)           1 with value (4 38)
% 1.91/2.08  Evaluation took:
% 1.91/2.08    1.598 seconds of real time
% 1.91/2.08    1.534649 seconds of user run time
% 1.91/2.08    0.06182 seconds of system run time
% 1.91/2.08    [Run times include 0.095 seconds GC run time.]
% 1.91/2.08    0 calls to %EVAL
% 1.91/2.08    0 page faults and
% 1.91/2.08    171,317,312 bytes consed.
% 1.91/2.08  :PROOF-FOUND
% 1.91/2.08  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T21:29:46
% 1.91/2.08  :PROOF-FOUND
% 1.91/2.08  * 
%------------------------------------------------------------------------------