TSTP Solution File: SWW020_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW020_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 96.69s 96.89s
% Output   : Refutation 96.69s
% 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/sandbox/benchmark/theBenchmark.p',0) ).

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

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

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

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

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

tff(431,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) != 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/sandbox/benchmark/theBenchmark.p',0) ).

tff(433,negated_conjecture,
    a(z1) = 1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(434,negated_conjecture,
    a(z2) = 10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(435,negated_conjecture,
    a(z3) = 4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(436,negated_conjecture,
    a(z4) = 11,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(438,negated_conjecture,
    $less(b(z2),3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(439,negated_conjecture,
    $less(b(z3),3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(440,negated_conjecture,
    b(z4) = 5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(441,negated_conjecture,
    $less(z2,z1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(442,negated_conjecture,
    $less(z4,z1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(443,negated_conjecture,
    $less(z4,z2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

tff(444,negated_conjecture,
    $less(z4,z3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',0) ).

cnf(1024,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[431,17,18,19,21,22,24,433,434,435,436,438,439,440,441,442,443,444]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWW020_1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n028.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 14:50:41 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T14:50:41
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-04T14:50:41
% 96.69/96.89  
% 96.69/96.89  
% 96.69/96.89  #||
% 96.69/96.89  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 96.69/96.89  % SZS output start Refutation
% See solution above
% 96.69/96.89  ||#
% 96.69/96.89  
% 96.69/96.89  ; Summary of computation:
% 96.69/96.89  ;      6130 formulas have been input or derived (from 366 formulas).
% 96.69/96.89  ;      1024 (17%) were retained.  Of these,
% 96.69/96.89  ;           83 ( 8%) were simplified or subsumed later,
% 96.69/96.89  ;          941 (92%) are still being kept.
% 96.69/96.89  ; 
% 96.69/96.89  ; Run time in seconds excluding printing time:
% 96.69/96.89  ;     0.196   0%   Read assertion file          (1 call)
% 96.69/96.89  ;     0.388   0%   Assert                       (1 call)
% 96.69/96.89  ;     0.115   0%   Process new row              (5,993 calls)
% 96.69/96.89  ;    94.761  98%   Resolution                   (730 calls)
% 96.69/96.89  ;     0.103   0%   Paramodulation               (365 calls)
% 96.69/96.89  ;     0.000   0%   Factoring                    (4 calls)
% 96.69/96.89  ;     0.032   0%   Condensing                   (991 calls)
% 96.69/96.89  ;     0.111   0%   Forward subsumption          (991 calls)
% 96.69/96.89  ;     0.036   0%   Backward subsumption         (978 calls)
% 96.69/96.89  ;     0.082   0%   Clause clause subsumption    (5,209 calls)
% 96.69/96.89  ;     0.458   0%   Forward simplification       (5,993 calls)
% 96.69/96.89  ;     0.004   0%   Backward simplification      (1,024 calls)
% 96.69/96.89  ;     0.022   0%   Ordering                     (33,475 calls)
% 96.69/96.89  ;     0.043   0%   Sortal reasoning             (55,074 calls)
% 96.69/96.89  ;     0.005   0%   Purity testing               (1 call)
% 96.69/96.89  ;     0.029   0%   Other
% 96.69/96.89  ;    96.385        Total
% 96.69/96.89  ;    96.403        Real time
% 96.69/96.89  ; 
% 96.69/96.89  ; Term-hash-array has 158 terms in all.
% 96.69/96.89  ; Feature-vector-row-index has 895 entries (895 at peak, 978 added, 83 deleted).
% 96.69/96.89  ; Feature-vector-row-index has 5,109 nodes (5,109 at peak, 5,798 added, 689 deleted).
% 96.69/96.89  ;  Retrieved 6,045 possibly forward subsuming rows in 991 calls.
% 96.69/96.89  ;  Retrieved 1,220 possibly backward subsumed rows in 978 calls.
% 96.69/96.89  ; Path-index has 174 entries (174 at peak, 345 added, 171 deleted).
% 96.69/96.89  ; Path-index has 131 nodes (131 at peak, 298 added, 167 deleted).
% 96.69/96.89  ; Trie-index has 174 entries (174 at peak, 345 added, 171 deleted).
% 96.69/96.89  ; Trie-index has 164 nodes (164 at peak, 331 added, 167 deleted).
% 96.69/96.89  ; Retrieved 14,472 generalization terms in 96,402 calls.
% 96.69/96.89  ; Retrieved 45 instance terms in 45 calls.
% 96.69/96.89  ; Retrieved 24,279,204 unifiable terms in 2,967,913 calls.
% 96.69/96.89  ; 
% 96.69/96.89  ; The agenda of rows to process has 116 entries:
% 96.69/96.89  ;    19 with value 5               8 with value 35               6 with value 45
% 96.69/96.89  ;    14 with value 7               5 with value 37               2 with value 47
% 96.69/96.89  ;     1 with value 25             12 with value 39               4 with value 49
% 96.69/96.89  ;     4 with value 29              5 with value 41               1 with value 53
% 96.69/96.89  ;     2 with value 31              8 with value 43              19 with value 81
% 96.69/96.89  ;     6 with value 33
% 96.69/96.89  ; The agenda of input rows to give has 39 entries:
% 96.69/96.89  ;     1 with value 82              7 with value 92               3 with value 104
% 96.69/96.89  ;    12 with value 86              3 with value 98               1 with value 110
% 96.69/96.89  ;    12 with value 88
% 96.69/96.89  ; The agenda of rows to give has 536 entries:
% 96.69/96.89  ;     6 with value (4 5)          15 with value (4 35)         191 with value (4 59)
% 96.69/96.89  ;     9 with value (4 7)          24 with value (4 41)          45 with value (4 65)
% 96.69/96.89  ;     1 with value (4 11)         19 with value (4 47)          31 with value (4 71)
% 96.69/96.89  ;     2 with value (4 15)        182 with value (4 53)           7 with value (4 77)
% 96.69/96.89  ;     4 with value (4 29)
% 96.69/96.89  Evaluation took:
% 96.69/96.89    96.404 seconds of real time
% 96.69/96.89    96.20873 seconds of user run time
% 96.69/96.89    0.178731 seconds of system run time
% 96.69/96.89    [Run times include 0.228 seconds GC run time.]
% 96.69/96.89    0 calls to %EVAL
% 96.69/96.89    0 page faults and
% 96.69/96.89    1,040,874,296 bytes consed.
% 96.69/96.89  :PROOF-FOUND
% 96.69/96.89  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T14:52:18
% 96.69/96.89  :PROOF-FOUND
% 96.69/96.89  * 
%------------------------------------------------------------------------------