TSTP Solution File: NUM450+6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:10:38 EDT 2022

% Result   : Theorem 0.90s 1.14s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   8 unt;   0 nHn;  19 RR)
%            Number of literals    :   32 (  11 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(132,hypothesis,
    xS = cS2043,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2046) ).

cnf(153,hypothesis,
    ( aElementOf0(X,stldt0(sbsmnsldt0(xS)))
    | X != sz10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).

cnf(154,plain,
    ( aElementOf0(X,stldt0(sbsmnsldt0(cS2043)))
    | X != sz10 ),
    inference('REWRITE',[status(thm)],[153,132,theory(equality)]) ).

cnf(157,hypothesis,
    stldt0(sbsmnsldt0(xS)) = cS2076,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2079) ).

cnf(158,plain,
    stldt0(sbsmnsldt0(cS2043)) = cS2076,
    inference('REWRITE',[status(thm)],[157,132,theory(equality)]) ).

cnf(212,hypothesis,
    ( ~ aElementOf0(X,stldt0(sbsmnsldt0(xS)))
    | aInteger0('SKOLEMAAAV24'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).

cnf(213,plain,
    ( ~ aElementOf0(X,cS2076)
    | aInteger0('SKOLEMAAAV24'(X)) ),
    inference('REWRITE',[status(thm)],[212,158,132,theory(equality)]) ).

cnf(214,hypothesis,
    ( ~ aElementOf0(X,stldt0(sbsmnsldt0(xS)))
    | 'SKOLEMAAAV24'(X) != sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).

cnf(215,plain,
    ( ~ aElementOf0(X,cS2076)
    | 'SKOLEMAAAV24'(X) != sz00 ),
    inference('REWRITE',[status(thm)],[214,158,132,theory(equality)]) ).

cnf(236,hypothesis,
    ( ~ aElementOf0(X,stldt0(sbsmnsldt0(xS)))
    | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X,'SKOLEMAAAV24'(X)),stldt0(sbsmnsldt0(xS))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2144) ).

cnf(237,plain,
    ( ~ aElementOf0(X,cS2076)
    | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X,'SKOLEMAAAV24'(X)),cS2076) ),
    inference('REWRITE',[status(thm)],[236,158,132,theory(equality)]) ).

cnf(259,negated_conjecture,
    ( ~ aInteger0(X)
    | X = sz00
    | ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X),stldt0(sbsmnsldt0(xS))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(260,plain,
    ( ~ aInteger0(X)
    | X = sz00
    | ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,X),cS2076) ),
    inference('REWRITE',[status(thm)],[259,158,132,theory(equality)]) ).

cnf(263,plain,
    ( aElementOf0(X,cS2076)
    | X != sz10 ),
    inference('REWRITE',[status(thm)],[154,158,theory(equality)]) ).

cnf(291,plain,
    aElementOf0(sz10,cS2076),
    inference('HYPERRESOLVE',[status(thm)],[263,theory(equality)]) ).

cnf(384,plain,
    aInteger0('SKOLEMAAAV24'(sz10)),
    inference('HYPERRESOLVE',[status(thm)],[213,291]) ).

cnf(386,plain,
    'SKOLEMAAAV24'(sz10) != sz00,
    inference('UR-RESOLVE',[status(thm)],[215,291]) ).

cnf(391,plain,
    aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,'SKOLEMAAAV24'(sz10)),cS2076),
    inference('HYPERRESOLVE',[status(thm)],[237,291]) ).

cnf(1381,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[260,386,384]),391]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM450+6 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n007.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 : Wed Jul  6 19:23:58 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T19:23:59
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-06T19:23:59
% 0.90/1.14  
% 0.90/1.14  
% 0.90/1.14  #||
% 0.90/1.14  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.90/1.14  % SZS output start Refutation
% See solution above
% 0.90/1.14  ||#
% 0.90/1.14  
% 0.90/1.14  ; Summary of computation:
% 0.90/1.14  ;      3603 formulas have been input or derived (from 217 formulas).
% 0.90/1.14  ;      1381 (38%) were retained.  Of these,
% 0.90/1.14  ;          178 (13%) were simplified or subsumed later,
% 0.90/1.14  ;         1203 (87%) are still being kept.
% 0.90/1.14  ; 
% 0.90/1.14  ; Run time in seconds excluding printing time:
% 0.90/1.14  ;     0.021   3%   Read assertion file          (1 call)
% 0.90/1.14  ;     0.007   1%   Assert                       (46 calls)
% 0.90/1.14  ;     0.107  16%   Process new row              (3,484 calls)
% 0.90/1.14  ;     0.364  54%   Resolution                   (432 calls)
% 0.90/1.14  ;     0.002   0%   Paramodulation               (216 calls)
% 0.90/1.14  ;     0.013   2%   Condensing                   (590 calls)
% 0.90/1.14  ;     0.041   6%   Forward subsumption          (590 calls)
% 0.90/1.14  ;     0.009   1%   Backward subsumption         (544 calls)
% 0.90/1.14  ;     0.000   0%   Clause clause subsumption    (471 calls)
% 0.90/1.14  ;     0.054   8%   Forward simplification       (3,484 calls)
% 0.90/1.14  ;     0.009   1%   Backward simplification      (1,316 calls)
% 0.90/1.14  ;     0.010   1%   Ordering                     (1,807 calls)
% 0.90/1.14  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.90/1.14  ;     0.001   0%   Purity testing               (1 call)
% 0.90/1.14  ;     0.036   5%   Other
% 0.90/1.14  ;     0.674        Total
% 0.90/1.14  ;     0.676        Real time
% 0.90/1.14  ; 
% 0.90/1.14  ; Term-hash-array has 2,598 terms in all.
% 0.90/1.14  ; Feature-vector-row-index has 507 entries (507 at peak, 544 added, 37 deleted).
% 0.90/1.14  ; Feature-vector-row-index has 3,613 nodes (3,613 at peak, 3,981 added, 368 deleted).
% 0.90/1.14  ;  Retrieved 547 possibly forward subsuming rows in 590 calls.
% 0.90/1.14  ;  Retrieved 56 possibly backward subsumed rows in 544 calls.
% 0.90/1.14  ; Path-index has 2,490 entries (2,490 at peak, 2,665 added, 175 deleted).
% 0.90/1.14  ; Path-index has 1,764 nodes (1,764 at peak, 1,880 added, 116 deleted).
% 0.90/1.14  ; Trie-index has 2,490 entries (2,490 at peak, 2,665 added, 175 deleted).
% 0.90/1.14  ; Trie-index has 10,195 nodes (10,195 at peak, 10,994 added, 799 deleted).
% 0.90/1.14  ; Retrieved 6,519 generalization terms in 18,999 calls.
% 0.90/1.14  ; Retrieved 771 instance terms in 771 calls.
% 0.90/1.14  ; Retrieved 823,624 unifiable terms in 39,436 calls.
% 0.90/1.14  ; 
% 0.90/1.14  ; The agenda of rows to process has 21 entries:
% 0.90/1.14  ;    11 with value 12              7 with value 13               3 with value 14
% 0.90/1.14  ; The agenda of rows to give has 994 entries:
% 0.90/1.14  ;     4 with value (4 8)          54 with value (4 24)          10 with value (4 40)
% 0.90/1.14  ;     7 with value (4 9)          49 with value (4 25)           7 with value (4 41)
% 0.90/1.14  ;    19 with value (4 10)         44 with value (4 26)          14 with value (4 42)
% 0.90/1.14  ;    24 with value (4 11)         22 with value (4 27)           7 with value (4 43)
% 0.90/1.14  ;    47 with value (4 12)         27 with value (4 28)          17 with value (4 44)
% 0.90/1.14  ;    38 with value (4 13)         25 with value (4 29)           1 with value (4 45)
% 0.90/1.14  ;    21 with value (4 14)          6 with value (4 30)           5 with value (4 46)
% 0.90/1.14  ;    41 with value (4 15)         12 with value (4 31)           4 with value (4 47)
% 0.90/1.14  ;    45 with value (4 16)          9 with value (4 32)           8 with value (4 48)
% 0.90/1.14  ;    51 with value (4 17)          6 with value (4 33)           4 with value (4 49)
% 0.90/1.14  ;    36 with value (4 18)         22 with value (4 34)           1 with value (4 50)
% 0.90/1.14  ;    24 with value (4 19)         12 with value (4 35)           1 with value (4 51)
% 0.90/1.14  ;    74 with value (4 20)          5 with value (4 36)           3 with value (4 52)
% 0.90/1.14  ;    26 with value (4 21)         10 with value (4 37)           2 with value (4 53)
% 0.90/1.14  ;    75 with value (4 22)         27 with value (4 38)           1 with value (4 56)
% 0.90/1.14  ;    36 with value (4 23)         11 with value (4 39)
% 0.90/1.14  Evaluation took:
% 0.90/1.14    0.677 seconds of real time
% 0.90/1.14    0.636388 seconds of user run time
% 0.90/1.14    0.040227 seconds of system run time
% 0.90/1.14    [Run times include 0.028 seconds GC run time.]
% 0.90/1.14    0 calls to %EVAL
% 0.90/1.14    0 page faults and
% 0.90/1.14    57,118,552 bytes consed.
% 0.90/1.14  :PROOF-FOUND
% 0.90/1.14  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T19:23:59
% 0.90/1.14  :PROOF-FOUND
% 0.90/1.14  * 
%------------------------------------------------------------------------------