TSTP Solution File: SWW002_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW002_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : Thu Jul 21 01:24:21 EDT 2022

% Result   : Theorem 1.64s 1.80s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   14 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (  20 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   23 (  12   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   29 (  29 fml;   0 var)
%            Number arithmetic     :   18 (   4 atm;   0 fun;  10 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    :    5 (   0 usr;   5 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(99,negated_conjecture,
    ! [X: $int,Y: $int,Z: $int,U: $int] :
      ( ( X = Y )
      | ( X = Z )
      | ( X = U )
      | ( Y = Z )
      | ( Y = U )
      | ( Z = U )
      | ( a(X) != 4 )
      | ( a(Y) != 10 )
      | ~ $less(b(Y),3)
      | ( b(Z) != 5 )
      | ( b(U) != 2 )
      | ~ $less(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(104,negated_conjecture,
    a(z1) = 4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(105,negated_conjecture,
    a(z2) = 10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(107,negated_conjecture,
    $less(b(z2),3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(108,negated_conjecture,
    b(z3) = 5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(109,negated_conjecture,
    b(z4) = 2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

tff(110,negated_conjecture,
    $less(z2,z1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',0) ).

cnf(220,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[99,17,18,19,21,22,24,104,105,107,108,109,110]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWW002_1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun  4 12:33:20 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T12:33:20
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-04T12:33:20
% 1.64/1.80  
% 1.64/1.80  
% 1.64/1.80  #||
% 1.64/1.80  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.64/1.80  % SZS output start Refutation
% See solution above
% 1.64/1.80  ||#
% 1.64/1.80  
% 1.64/1.80  ; Summary of computation:
% 1.64/1.80  ;       961 formulas have been input or derived (from 93 formulas).
% 1.64/1.80  ;       220 (23%) were retained.  Of these,
% 1.64/1.80  ;            6 ( 3%) were simplified or subsumed later,
% 1.64/1.80  ;          214 (97%) are still being kept.
% 1.64/1.80  ; 
% 1.64/1.80  ; Run time in seconds excluding printing time:
% 1.64/1.80  ;     0.041   3%   Read assertion file          (1 call)
% 1.64/1.80  ;     0.042   3%   Assert                       (1 call)
% 1.64/1.80  ;     0.014   1%   Process new row              (900 calls)
% 1.64/1.80  ;     1.082  83%   Resolution                   (184 calls)
% 1.64/1.80  ;     0.008   1%   Paramodulation               (92 calls)
% 1.64/1.80  ;     0.000   0%   Factoring                    (4 calls)
% 1.64/1.80  ;     0.017   1%   Condensing                   (191 calls)
% 1.64/1.80  ;     0.013   1%   Forward subsumption          (191 calls)
% 1.64/1.80  ;     0.005   0%   Backward subsumption         (182 calls)
% 1.64/1.80  ;     0.004   0%   Clause clause subsumption    (300 calls)
% 1.64/1.80  ;     0.045   3%   Forward simplification       (900 calls)
% 1.64/1.80  ;     0.002   0%   Backward simplification      (220 calls)
% 1.64/1.80  ;     0.003   0%   Ordering                     (2,632 calls)
% 1.64/1.80  ;     0.007   1%   Sortal reasoning             (6,707 calls)
% 1.64/1.80  ;     0.000   0%   Purity testing               (1 call)
% 1.64/1.80  ;     0.024   2%   Other
% 1.64/1.80  ;     1.307        Total
% 1.64/1.80  ;     1.309        Real time
% 1.64/1.80  ; 
% 1.64/1.80  ; Term-hash-array has 127 terms in all.
% 1.64/1.80  ; Feature-vector-row-index has 176 entries (176 at peak, 182 added, 6 deleted).
% 1.64/1.80  ; Feature-vector-row-index has 1,121 nodes (1,121 at peak, 1,177 added, 56 deleted).
% 1.64/1.80  ;  Retrieved 386 possibly forward subsuming rows in 191 calls.
% 1.64/1.80  ;  Retrieved 73 possibly backward subsumed rows in 182 calls.
% 1.64/1.80  ; Path-index has 143 entries (143 at peak, 157 added, 14 deleted).
% 1.64/1.80  ; Path-index has 122 nodes (122 at peak, 136 added, 14 deleted).
% 1.64/1.80  ; Trie-index has 143 entries (143 at peak, 157 added, 14 deleted).
% 1.64/1.80  ; Trie-index has 151 nodes (151 at peak, 165 added, 14 deleted).
% 1.64/1.80  ; Retrieved 1,579 generalization terms in 9,603 calls.
% 1.64/1.80  ; Retrieved 37 instance terms in 37 calls.
% 1.64/1.80  ; Retrieved 895,227 unifiable terms in 100,118 calls.
% 1.64/1.80  ; 
% 1.64/1.80  ; The agenda of rows to process has 43 entries:
% 1.64/1.80  ;    13 with value 5               1 with value 29               1 with value 35
% 1.64/1.80  ;    14 with value 7               1 with value 31              12 with value 57
% 1.64/1.80  ;     1 with value 25
% 1.64/1.80  ; The agenda of input rows to give has 17 entries:
% 1.64/1.80  ;     4 with value 58             10 with value 64               3 with value 70
% 1.64/1.80  ; The agenda of rows to give has 104 entries:
% 1.64/1.80  ;     3 with value (4 5)           2 with value (4 15)          52 with value (4 41)
% 1.64/1.80  ;     9 with value (4 7)           4 with value (4 29)          12 with value (4 47)
% 1.64/1.80  ;     1 with value (4 11)         17 with value (4 35)           4 with value (4 53)
% 1.64/1.80  Evaluation took:
% 1.64/1.80    1.309 seconds of real time
% 1.64/1.80    1.280032 seconds of user run time
% 1.64/1.80    0.028539 seconds of system run time
% 1.64/1.80    [Run times include 0.012 seconds GC run time.]
% 1.64/1.80    0 calls to %EVAL
% 1.64/1.80    0 page faults and
% 1.64/1.80    46,672,016 bytes consed.
% 1.64/1.81  :PROOF-FOUND
% 1.64/1.81  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T12:33:22
% 1.64/1.81  :PROOF-FOUND
% 1.64/1.81  * 
%------------------------------------------------------------------------------