TSTP Solution File: SWW022_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW022_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 01:24:23 EDT 2022

% Result   : Theorem 102.48s 102.67s
% Output   : Refutation 102.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   19 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   76 (  22 equ)
%            Maximal formula atoms :   17 (   4 avg)
%            Number of connectives :   33 (  17   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   41 (  41 fml;   0 var)
%            Number arithmetic     :   30 (  12 atm;   0 fun;  14 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   0 usr;   6 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(17,negated_conjecture,
    z1 != z2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(18,negated_conjecture,
    z1 != z3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(19,negated_conjecture,
    z1 != z4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(21,negated_conjecture,
    z2 != z3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(22,negated_conjecture,
    z2 != z4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(24,negated_conjecture,
    z3 != z4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(434,negated_conjecture,
    ! [X: $int,Y: $int,Z: $int,U: $int] :
      ( ( X = Y )
      | ( X = Z )
      | ( X = U )
      | ( Y = Z )
      | ( Y = U )
      | ( Z = U )
      | ( a(X) != 12 )
      | ( a(Y) != 10 )
      | ( a(Z) != 4 )
      | ( a(U) != 11 )
      | ~ $less(b(Y),3)
      | ~ $less(b(Z),3)
      | ( b(U) != 5 )
      | ~ $less(Y,X)
      | ~ $less(U,X)
      | ~ $less(U,Y)
      | ~ $less(U,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(435,negated_conjecture,
    a(z1) = 12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(436,negated_conjecture,
    a(z2) = 10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(437,negated_conjecture,
    a(z3) = 4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(438,negated_conjecture,
    a(z4) = 11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(440,negated_conjecture,
    $less(b(z2),3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(441,negated_conjecture,
    $less(b(z3),3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(442,negated_conjecture,
    b(z4) = 5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(443,negated_conjecture,
    $less(z2,z1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(444,negated_conjecture,
    $less(z4,z1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(445,negated_conjecture,
    $less(z4,z2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(446,negated_conjecture,
    $less(z4,z3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

cnf(1034,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[434,17,18,19,21,22,24,435,436,437,438,440,441,442,443,444,445,446]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW022_1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Sun Jun  5 12:24:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-05T12:24:04
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-05T12:24:04
% 102.48/102.67  
% 102.48/102.67  
% 102.48/102.67  #||
% 102.48/102.67  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 102.48/102.67  % SZS output start Refutation
% See solution above
% 102.48/102.67  ||#
% 102.48/102.67  
% 102.48/102.67  ; Summary of computation:
% 102.48/102.67  ;      6172 formulas have been input or derived (from 368 formulas).
% 102.48/102.67  ;      1034 (17%) were retained.  Of these,
% 102.48/102.67  ;           87 ( 8%) were simplified or subsumed later,
% 102.48/102.67  ;          947 (92%) are still being kept.
% 102.48/102.67  ; 
% 102.48/102.67  ; Run time in seconds excluding printing time:
% 102.48/102.67  ;     0.190   0%   Read assertion file          (1 call)
% 102.48/102.67  ;     0.417   0%   Assert                       (1 call)
% 102.48/102.67  ;     0.129   0%   Process new row              (6,034 calls)
% 102.48/102.67  ;   100.450  98%   Resolution                   (734 calls)
% 102.48/102.67  ;     0.098   0%   Paramodulation               (367 calls)
% 102.48/102.67  ;     0.000   0%   Factoring                    (4 calls)
% 102.48/102.67  ;     0.042   0%   Condensing                   (1,003 calls)
% 102.48/102.67  ;     0.130   0%   Forward subsumption          (1,003 calls)
% 102.48/102.67  ;     0.039   0%   Backward subsumption         (988 calls)
% 102.48/102.67  ;     0.055   0%   Clause clause subsumption    (5,237 calls)
% 102.48/102.67  ;     0.521   1%   Forward simplification       (6,034 calls)
% 102.48/102.67  ;     0.007   0%   Backward simplification      (1,034 calls)
% 102.48/102.67  ;     0.034   0%   Ordering                     (33,795 calls)
% 102.48/102.67  ;     0.033   0%   Sortal reasoning             (55,478 calls)
% 102.48/102.67  ;     0.002   0%   Purity testing               (1 call)
% 102.48/102.67  ;     0.044   0%   Other
% 102.48/102.67  ;   102.191        Total
% 102.48/102.67  ;   102.197        Real time
% 102.48/102.67  ; 
% 102.48/102.68  ; Term-hash-array has 158 terms in all.
% 102.48/102.68  ; Feature-vector-row-index has 901 entries (901 at peak, 988 added, 87 deleted).
% 102.48/102.68  ; Feature-vector-row-index has 5,173 nodes (5,173 at peak, 5,896 added, 723 deleted).
% 102.48/102.68  ;  Retrieved 6,125 possibly forward subsuming rows in 1,003 calls.
% 102.48/102.68  ;  Retrieved 1,212 possibly backward subsumed rows in 988 calls.
% 102.48/102.68  ; Path-index has 174 entries (174 at peak, 351 added, 177 deleted).
% 102.48/102.68  ; Path-index has 131 nodes (131 at peak, 304 added, 173 deleted).
% 102.48/102.68  ; Trie-index has 174 entries (174 at peak, 351 added, 177 deleted).
% 102.48/102.68  ; Trie-index has 164 nodes (164 at peak, 337 added, 173 deleted).
% 102.48/102.68  ; Retrieved 14,715 generalization terms in 97,262 calls.
% 102.48/102.68  ; Retrieved 45 instance terms in 45 calls.
% 102.48/102.68  ; Retrieved 24,419,786 unifiable terms in 2,988,884 calls.
% 102.48/102.68  ; 
% 102.48/102.68  ; The agenda of rows to process has 116 entries:
% 102.48/102.68  ;    19 with value 5               8 with value 35               6 with value 45
% 102.48/102.68  ;    14 with value 7               5 with value 37               2 with value 47
% 102.48/102.68  ;     1 with value 25             12 with value 39               4 with value 49
% 102.48/102.68  ;     4 with value 29              5 with value 41               1 with value 53
% 102.48/102.68  ;     2 with value 31              8 with value 43              19 with value 81
% 102.48/102.68  ;     6 with value 33
% 102.48/102.68  ; The agenda of input rows to give has 38 entries:
% 102.48/102.68  ;    12 with value 86              7 with value 92               3 with value 104
% 102.48/102.68  ;    12 with value 88              3 with value 98               1 with value 110
% 102.48/102.68  ; The agenda of rows to give has 541 entries:
% 102.48/102.68  ;     6 with value (4 5)          15 with value (4 35)         191 with value (4 59)
% 102.48/102.68  ;     9 with value (4 7)          24 with value (4 41)          45 with value (4 65)
% 102.48/102.68  ;     1 with value (4 11)         19 with value (4 47)          36 with value (4 71)
% 102.48/102.68  ;     2 with value (4 15)        182 with value (4 53)           7 with value (4 77)
% 102.48/102.68  ;     4 with value (4 29)
% 102.48/102.68  Evaluation took:
% 102.48/102.68    102.198 seconds of real time
% 102.48/102.68    102.00299 seconds of user run time
% 102.48/102.68    0.190554 seconds of system run time
% 102.48/102.68    [Run times include 0.256 seconds GC run time.]
% 102.48/102.68    0 calls to %EVAL
% 102.48/102.68    0 page faults and
% 102.48/102.68    1,048,358,912 bytes consed.
% 102.48/102.68  :PROOF-FOUND
% 102.48/102.68  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T12:25:46
% 102.48/102.68  :PROOF-FOUND
% 102.48/102.68  * 
%------------------------------------------------------------------------------