TSTP Solution File: SWW011_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW011_1 : TPTP v8.1.0. Released v5.0.0.
% 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 01:24:22 EDT 2022

% Result   : Theorem 87.35s 87.55s
% Output   : Refutation 87.35s
% 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(407,negated_conjecture,
    ! [X: $int,Y: $int,Z: $int,U: $int] :
      ( ( X = Y )
      | ( X = Z )
      | ( X = U )
      | ( Y = Z )
      | ( Y = U )
      | ( Z = U )
      | ( a(X) != 1 )
      | ( a(Y) != 10 )
      | ( a(Z) != 6 )
      | ( 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(416,negated_conjecture,
    a(z1) = 1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(417,negated_conjecture,
    a(z2) = 10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(418,negated_conjecture,
    a(z3) = 6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(419,negated_conjecture,
    a(z4) = 11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(421,negated_conjecture,
    $less(b(z2),3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(422,negated_conjecture,
    $less(b(z3),3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(423,negated_conjecture,
    b(z4) = 5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(424,negated_conjecture,
    $less(z2,z1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(425,negated_conjecture,
    $less(z4,z1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(426,negated_conjecture,
    $less(z4,z2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(427,negated_conjecture,
    $less(z4,z3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

cnf(935,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[407,17,18,19,21,22,24,416,417,418,419,421,422,423,424,425,426,427]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWW011_1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.15  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jun  5 23:44:02 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.23/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.50  * 
% 0.23/0.50  * 
% 0.23/0.51  #<PACKAGE "SNARK-USER">
% 0.23/0.51  * 
% 0.23/0.51  SNARK-TPTP-OPTIONS
% 0.23/0.51  * 
% 0.23/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.51   (USE-FACTORING :POS)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.51  * 
% 0.23/0.51  "."
% 0.23/0.51  * 
% 0.23/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T23:44:02
% 0.23/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-05T23:44:02
% 87.35/87.55  
% 87.35/87.55  
% 87.35/87.55  #||
% 87.35/87.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.35/87.55  % SZS output start Refutation
% See solution above
% 87.35/87.55  ||#
% 87.35/87.55  
% 87.35/87.55  ; Summary of computation:
% 87.35/87.55  ;      5870 formulas have been input or derived (from 353 formulas).
% 87.35/87.55  ;       935 (16%) were retained.  Of these,
% 87.35/87.55  ;           66 ( 7%) were simplified or subsumed later,
% 87.35/87.55  ;          869 (93%) are still being kept.
% 87.35/87.55  ; 
% 87.35/87.55  ; Run time in seconds excluding printing time:
% 87.35/87.55  ;     0.179   0%   Read assertion file          (1 call)
% 87.35/87.55  ;     0.367   0%   Assert                       (1 call)
% 87.35/87.55  ;     0.119   0%   Process new row              (5,735 calls)
% 87.35/87.55  ;    85.422  98%   Resolution                   (704 calls)
% 87.35/87.55  ;     0.095   0%   Paramodulation               (352 calls)
% 87.35/87.55  ;     0.000   0%   Factoring                    (4 calls)
% 87.35/87.55  ;     0.043   0%   Condensing                   (896 calls)
% 87.35/87.55  ;     0.114   0%   Forward subsumption          (896 calls)
% 87.35/87.55  ;     0.045   0%   Backward subsumption         (889 calls)
% 87.35/87.55  ;     0.050   0%   Clause clause subsumption    (4,669 calls)
% 87.35/87.55  ;     0.473   1%   Forward simplification       (5,735 calls)
% 87.35/87.55  ;     0.003   0%   Backward simplification      (935 calls)
% 87.35/87.55  ;     0.034   0%   Ordering                     (30,782 calls)
% 87.35/87.55  ;     0.034   0%   Sortal reasoning             (52,465 calls)
% 87.35/87.55  ;     0.001   0%   Purity testing               (1 call)
% 87.35/87.55  ;     0.047   0%   Other
% 87.35/87.55  ;    87.026        Total
% 87.35/87.55  ;    87.042        Real time
% 87.35/87.55  ; 
% 87.35/87.56  ; Term-hash-array has 158 terms in all.
% 87.35/87.56  ; Feature-vector-row-index has 823 entries (823 at peak, 889 added, 66 deleted).
% 87.35/87.56  ; Feature-vector-row-index has 4,627 nodes (4,627 at peak, 5,146 added, 519 deleted).
% 87.35/87.56  ;  Retrieved 5,167 possibly forward subsuming rows in 896 calls.
% 87.35/87.56  ;  Retrieved 1,125 possibly backward subsumed rows in 889 calls.
% 87.35/87.56  ; Path-index has 174 entries (174 at peak, 312 added, 138 deleted).
% 87.35/87.56  ; Path-index has 131 nodes (131 at peak, 265 added, 134 deleted).
% 87.35/87.56  ; Trie-index has 174 entries (174 at peak, 312 added, 138 deleted).
% 87.35/87.56  ; Trie-index has 164 nodes (164 at peak, 298 added, 134 deleted).
% 87.35/87.56  ; Retrieved 13,443 generalization terms in 91,600 calls.
% 87.35/87.56  ; Retrieved 45 instance terms in 45 calls.
% 87.35/87.56  ; Retrieved 22,662,566 unifiable terms in 2,808,013 calls.
% 87.35/87.56  ; 
% 87.35/87.56  ; The agenda of rows to process has 116 entries:
% 87.35/87.56  ;    19 with value 5               8 with value 35               6 with value 45
% 87.35/87.56  ;    14 with value 7               5 with value 37               2 with value 47
% 87.35/87.56  ;     1 with value 25             12 with value 39               4 with value 49
% 87.35/87.56  ;     4 with value 29              5 with value 41               1 with value 53
% 87.35/87.56  ;     2 with value 31              8 with value 43              19 with value 81
% 87.35/87.56  ;     6 with value 33
% 87.35/87.56  ; The agenda of input rows to give has 42 entries:
% 87.35/87.56  ;     2 with value 82              7 with value 92               3 with value 104
% 87.35/87.56  ;    13 with value 86              3 with value 98               1 with value 110
% 87.35/87.56  ;    13 with value 88
% 87.35/87.56  ; The agenda of rows to give has 474 entries:
% 87.35/87.56  ;     6 with value (4 5)          15 with value (4 35)         172 with value (4 59)
% 87.35/87.56  ;     9 with value (4 7)          23 with value (4 41)          33 with value (4 65)
% 87.35/87.56  ;     1 with value (4 11)         19 with value (4 47)          19 with value (4 71)
% 87.35/87.56  ;     2 with value (4 15)        166 with value (4 53)           5 with value (4 77)
% 87.35/87.56  ;     4 with value (4 29)
% 87.35/87.56  Evaluation took:
% 87.35/87.56    87.043 seconds of real time
% 87.35/87.56    86.85189 seconds of user run time
% 87.35/87.56    0.175967 seconds of system run time
% 87.35/87.56    [Run times include 0.236 seconds GC run time.]
% 87.35/87.56    0 calls to %EVAL
% 87.35/87.56    0 page faults and
% 87.35/87.56    978,294,432 bytes consed.
% 87.35/87.56  :PROOF-FOUND
% 87.35/87.56  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T23:45:30
% 87.35/87.56  :PROOF-FOUND
% 87.35/87.56  * 
%------------------------------------------------------------------------------