TSTP Solution File: KRS003_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS003_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 : Sun Jul 17 03:28:20 EDT 2022

% Result   : Theorem 0.22s 0.55s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   18 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   20 (  20 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  13 usr;   4 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   10 (   0 sgn  10   !;   0   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(1,axiom,
    ! [X: unreal] :
      ( ~ c(X)
      | s2least(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

tff(3,axiom,
    ! [X: unreal] :
      ( ~ s2least(X)
      | ~ equalish(u1r2(X),u1r1(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).

tff(4,axiom,
    ! [X: unreal] :
      ( ~ s2least(X)
      | s(X,u1r1(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

tff(5,axiom,
    ! [X: unreal] :
      ( ~ s2least(X)
      | s(X,u1r2(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

tff(7,axiom,
    ! [X: unreal] :
      ( ~ d(X)
      | s1most(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

tff(9,axiom,
    ! [X: unreal,Y: real,Z: real] :
      ( ~ s1most(X)
      | ~ s(X,Y)
      | ~ s(X,Z)
      | equalish(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).

tff(13,axiom,
    ! [X: unreal] :
      ( ~ e(X)
      | c(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).

tff(14,axiom,
    ! [X: unreal] :
      ( ~ f(X)
      | d(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).

tff(15,negated_conjecture,
    e(exist),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1__clause_2) ).

tff(16,negated_conjecture,
    f(exist),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1__clause_2) ).

tff(17,plain,
    c(exist),
    inference('HYPERRESOLVE',[status(thm)],[13,15]) ).

tff(18,plain,
    d(exist),
    inference('HYPERRESOLVE',[status(thm)],[14,16]) ).

tff(23,plain,
    s2least(exist),
    inference('HYPERRESOLVE',[status(thm)],[1,17]) ).

tff(24,plain,
    s1most(exist),
    inference('HYPERRESOLVE',[status(thm)],[7,18]) ).

tff(25,plain,
    s(exist,u1r2(exist)),
    inference('HYPERRESOLVE',[status(thm)],[5,23]) ).

tff(26,plain,
    s(exist,u1r1(exist)),
    inference('HYPERRESOLVE',[status(thm)],[4,23]) ).

tff(27,plain,
    ~ equalish(u1r2(exist),u1r1(exist)),
    inference('UR-RESOLVE',[status(thm)],[3,23]) ).

cnf(31,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,26,24,25]),27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : KRS003_1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.37  % Computer : n020.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Tue Jun  7 16:51:06 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T16:51:07
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-07T16:51:07
% 0.22/0.55  
% 0.22/0.55  
% 0.22/0.55  #||
% 0.22/0.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.55  % SZS output start Refutation
% See solution above
% 0.22/0.56  ||#
% 0.22/0.56  
% 0.22/0.56  ; Summary of computation:
% 0.22/0.56  ;        75 formulas have been input or derived (from 23 formulas).
% 0.22/0.56  ;        31 (41%) were retained.  Of these,
% 0.22/0.56  ;           31 (100%) are still being kept.
% 0.22/0.56  ; 
% 0.22/0.56  ; Run time in seconds excluding printing time:
% 0.22/0.56  ;     0.005  15%   Read assertion file          (1 call)
% 0.22/0.56  ;     0.001   3%   Assert                       (15 calls)
% 0.22/0.56  ;     0.002   6%   Process new row              (49 calls)
% 0.22/0.56  ;     0.002   6%   Resolution                   (44 calls)
% 0.22/0.56  ;     0.000   0%   Paramodulation               (22 calls)
% 0.22/0.56  ;     0.000   0%   Factoring                    (2 calls)
% 0.22/0.56  ;     0.001   3%   Condensing                   (18 calls)
% 0.22/0.56  ;     0.000   0%   Forward subsumption          (18 calls)
% 0.22/0.56  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.22/0.56  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.22/0.56  ;     0.001   3%   Forward simplification       (49 calls)
% 0.22/0.56  ;     0.000   0%   Backward simplification      (31 calls)
% 0.22/0.56  ;     0.000   0%   Ordering                     (20 calls)
% 0.22/0.56  ;     0.000   0%   Sortal reasoning             (34 calls)
% 0.22/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.22/0.56  ;     0.022  65%   Other
% 0.22/0.56  ;     0.034        Total
% 0.22/0.56  ;     0.036        Real time
% 0.22/0.56  ; 
% 0.22/0.56  ; Term-hash-array has 36 terms in all.
% 0.22/0.56  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.22/0.56  ; Feature-vector-row-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.22/0.56  ;  Retrieved 1 possibly forward subsuming row in 18 calls.
% 0.22/0.56  ;  Retrieved 1 possibly backward subsumed row in 18 calls.
% 0.22/0.56  ; Path-index has 37 entries (37 at peak, 37 added, 0 deleted).
% 0.22/0.56  ; Path-index has 69 nodes (69 at peak, 69 added, 0 deleted).
% 0.22/0.56  ; Trie-index has 37 entries (37 at peak, 37 added, 0 deleted).
% 0.22/0.56  ; Trie-index has 76 nodes (76 at peak, 76 added, 0 deleted).
% 0.22/0.56  ; Retrieved 25 generalization terms in 41 calls.
% 0.22/0.56  ; Retrieved 12 instance terms in 12 calls.
% 0.22/0.56  ; Retrieved 300 unifiable terms in 161 calls.
% 0.22/0.56  ; 
% 0.22/0.56  ; The agenda of rows to process has 17 entries:
% 0.22/0.56  ;     5 with value 11              8 with value 14               4 with value 17
% 0.22/0.56  ; The agenda of rows to give has 8 entries:
% 0.22/0.56  ;     1 with value (4 10)          3 with value (4 11)           4 with value (4 14)
% 0.22/0.56  Evaluation took:
% 0.22/0.56    0.037 seconds of real time
% 0.22/0.56    0.031013 seconds of user run time
% 0.22/0.56    0.005731 seconds of system run time
% 0.22/0.56    0 calls to %EVAL
% 0.22/0.56    0 page faults and
% 0.22/0.56    2,538,248 bytes consed.
% 0.22/0.56  :PROOF-FOUND
% 0.22/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T16:51:07
% 0.22/0.56  :PROOF-FOUND
% 0.22/0.56  * 
%------------------------------------------------------------------------------