TSTP Solution File: KRS073+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 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 03:28:29 EDT 2022

% Result   : Unsatisfiable 0.36s 0.52s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   19 (  10 unt;   0 nHn;  19 RR)
%            Number of literals    :   32 (   3 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( X != Y
    | ~ rs(Z,X)
    | rs(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rs_substitution_2) ).

cnf(23,axiom,
    ( ~ cUnsatisfiable(X)
    | rf(X,'SKOLEMAAAU1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(24,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rinvS('SKOLEMAAAU1'(X),Y)
    | cp(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(25,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rinvF('SKOLEMAAAU1'(X),Y)
    | rs(Y,'SKOLEMAAAU2'(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(27,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ cp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(32,axiom,
    ( ~ rf(X,Y)
    | ~ rf(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(35,axiom,
    ( rinvF(X,Y)
    | ~ rf(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(39,axiom,
    ( rinvS(X,Y)
    | ~ rs(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

cnf(41,axiom,
    cUnsatisfiable(i2003_11_14_17_18_54369),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

cnf(43,axiom,
    ( ~ rs(X,Y)
    | rf(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

cnf(44,plain,
    ~ cp(i2003_11_14_17_18_54369),
    inference('UR-RESOLVE',[status(thm)],[27,41]) ).

cnf(45,plain,
    rf(i2003_11_14_17_18_54369,'SKOLEMAAAU1'(i2003_11_14_17_18_54369)),
    inference('HYPERRESOLVE',[status(thm)],[23,41]) ).

cnf(46,plain,
    ~ rinvS('SKOLEMAAAU1'(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
    inference('UR-RESOLVE',[status(thm)],[24,44,41]) ).

cnf(47,plain,
    rinvF('SKOLEMAAAU1'(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
    inference('HYPERRESOLVE',[status(thm)],[35,45]) ).

cnf(48,plain,
    ~ rs(i2003_11_14_17_18_54369,'SKOLEMAAAU1'(i2003_11_14_17_18_54369)),
    inference('UR-RESOLVE',[status(thm)],[39,46]) ).

cnf(50,plain,
    rs(i2003_11_14_17_18_54369,'SKOLEMAAAU2'(i2003_11_14_17_18_54369)),
    inference('HYPERRESOLVE',[status(thm)],[25,47,41]) ).

cnf(54,plain,
    rf(i2003_11_14_17_18_54369,'SKOLEMAAAU2'(i2003_11_14_17_18_54369)),
    inference('HYPERRESOLVE',[status(thm)],[43,50]) ).

cnf(56,plain,
    'SKOLEMAAAU2'(i2003_11_14_17_18_54369) != 'SKOLEMAAAU1'(i2003_11_14_17_18_54369),
    inference('UR-RESOLVE',[status(thm)],[16,50,48]) ).

cnf(61,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,54,45]),56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.15/0.34  % Computer : n020.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 600
% 0.15/0.35  % DateTime : Tue Jun  7 12:02:07 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T12:02:07
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-07T12:02:07
% 0.36/0.52  
% 0.36/0.52  
% 0.36/0.52  #||
% 0.36/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.52  % SZS output start Refutation
% See solution above
% 0.36/0.53  ||#
% 0.36/0.53  
% 0.36/0.53  ; Summary of computation:
% 0.36/0.53  ;       130 formulas have been input or derived (from 54 formulas).
% 0.36/0.53  ;        61 (47%) were retained.  Of these,
% 0.36/0.53  ;            2 ( 3%) were simplified or subsumed later,
% 0.36/0.53  ;           59 (97%) are still being kept.
% 0.36/0.53  ; 
% 0.36/0.53  ; Run time in seconds excluding printing time:
% 0.36/0.53  ;     0.006  14%   Read assertion file          (1 call)
% 0.36/0.53  ;     0.002   5%   Assert                       (30 calls)
% 0.36/0.53  ;     0.005  12%   Process new row              (99 calls)
% 0.36/0.53  ;     0.004  10%   Resolution                   (106 calls)
% 0.36/0.53  ;     0.000   0%   Paramodulation               (53 calls)
% 0.36/0.53  ;     0.000   0%   Factoring                    (1 call)
% 0.36/0.53  ;     0.002   5%   Condensing                   (41 calls)
% 0.36/0.53  ;     0.001   2%   Forward subsumption          (41 calls)
% 0.36/0.53  ;     0.000   0%   Backward subsumption         (40 calls)
% 0.36/0.53  ;     0.000   0%   Clause clause subsumption    (16 calls)
% 0.36/0.53  ;     0.000   0%   Forward simplification       (99 calls)
% 0.36/0.53  ;     0.000   0%   Backward simplification      (61 calls)
% 0.36/0.53  ;     0.000   0%   Ordering                     (4 calls)
% 0.36/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.36/0.53  ;     0.022  52%   Other
% 0.36/0.53  ;     0.042        Total
% 0.36/0.53  ;     0.044        Real time
% 0.36/0.53  ; 
% 0.36/0.53  ; Term-hash-array has 81 terms in all.
% 0.36/0.53  ; Feature-vector-row-index has 38 entries (38 at peak, 40 added, 2 deleted).
% 0.36/0.53  ; Feature-vector-row-index has 83 nodes (83 at peak, 86 added, 3 deleted).
% 0.36/0.53  ;  Retrieved 9 possibly forward subsuming rows in 41 calls.
% 0.36/0.53  ;  Retrieved 11 possibly backward subsumed rows in 40 calls.
% 0.36/0.53  ; Path-index has 80 entries (80 at peak, 82 added, 2 deleted).
% 0.36/0.53  ; Path-index has 106 nodes (106 at peak, 106 added, 0 deleted).
% 0.36/0.53  ; Trie-index has 80 entries (80 at peak, 82 added, 2 deleted).
% 0.36/0.53  ; Trie-index has 103 nodes (103 at peak, 103 added, 0 deleted).
% 0.36/0.53  ; Retrieved 36 generalization terms in 48 calls.
% 0.36/0.53  ; Retrieved 22 instance terms in 20 calls.
% 0.36/0.53  ; Retrieved 1,215 unifiable terms in 433 calls.
% 0.36/0.53  ; 
% 0.36/0.53  ; The agenda of rows to process has 8 entries:
% 0.36/0.53  ;     7 with value 12              1 with value 29
% 0.36/0.53  ; The agenda of rows to give has 5 entries:
% 0.36/0.53  ;     1 with value (4 9)           2 with value (4 10)           2 with value (4 11)
% 0.36/0.53  Evaluation took:
% 0.36/0.53    0.044 seconds of real time
% 0.36/0.53    0.0381 seconds of user run time
% 0.36/0.53    0.005858 seconds of system run time
% 0.36/0.53    0 calls to %EVAL
% 0.36/0.53    0 page faults and
% 0.36/0.53    2,989,248 bytes consed.
% 0.36/0.53  :PROOF-FOUND
% 0.36/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T12:02:07
% 0.36/0.53  :PROOF-FOUND
% 0.36/0.53  * 
%------------------------------------------------------------------------------