TSTP Solution File: KRS127+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS127+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 03:28:39 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  18 RR)
%            Number of literals    :   28 (   2 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(17,axiom,
    ( ~ cUnsatisfiable(X)
    | rr(X,'SKOLEMAAAU1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(18,axiom,
    ( ~ cUnsatisfiable(X)
    | cc('SKOLEMAAAU1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(19,axiom,
    ( ~ cUnsatisfiable(X)
    | rr(X,'SKOLEMAAAU2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(20,axiom,
    ( ~ cUnsatisfiable(X)
    | cd('SKOLEMAAAU2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(21,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rr(X,Y)
    | ~ rr(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(25,axiom,
    ( ~ cc(X)
    | cdxcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(26,axiom,
    ( ~ cd(X)
    | ~ ra_Px1(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(28,axiom,
    ( ~ cdxcomp(X)
    | ra_Px1(X,'SKOLEMAAAU6'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(30,axiom,
    cUnsatisfiable(i2003_11_14_17_22_27794),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(31,plain,
    cc('SKOLEMAAAU1'(i2003_11_14_17_22_27794)),
    inference('HYPERRESOLVE',[status(thm)],[18,30]) ).

cnf(32,plain,
    cd('SKOLEMAAAU2'(i2003_11_14_17_22_27794)),
    inference('HYPERRESOLVE',[status(thm)],[20,30]) ).

cnf(33,plain,
    rr(i2003_11_14_17_22_27794,'SKOLEMAAAU1'(i2003_11_14_17_22_27794)),
    inference('HYPERRESOLVE',[status(thm)],[17,30]) ).

cnf(34,plain,
    rr(i2003_11_14_17_22_27794,'SKOLEMAAAU2'(i2003_11_14_17_22_27794)),
    inference('HYPERRESOLVE',[status(thm)],[19,30]) ).

cnf(36,plain,
    cdxcomp('SKOLEMAAAU1'(i2003_11_14_17_22_27794)),
    inference('HYPERRESOLVE',[status(thm)],[25,31]) ).

cnf(37,plain,
    ~ ra_Px1('SKOLEMAAAU2'(i2003_11_14_17_22_27794),X),
    inference('UR-RESOLVE',[status(thm)],[26,32]) ).

cnf(38,plain,
    'SKOLEMAAAU1'(i2003_11_14_17_22_27794) = 'SKOLEMAAAU2'(i2003_11_14_17_22_27794),
    inference('HYPERRESOLVE',[status(thm)],[21,34,30,33]) ).

cnf(40,plain,
    ~ ra_Px1('SKOLEMAAAU1'(i2003_11_14_17_22_27794),X),
    inference('REWRITE',[status(thm)],[37,38,theory(equality)]) ).

cnf(42,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,36]),40]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS127+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 09:16:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44  * 
% 0.20/0.44  * 
% 0.20/0.45  #<PACKAGE "SNARK-USER">
% 0.20/0.45  * 
% 0.20/0.45  SNARK-TPTP-OPTIONS
% 0.20/0.45  * 
% 0.20/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.45   (USE-FACTORING :POS)
% 0.20/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.45  * 
% 0.20/0.45  "."
% 0.20/0.45  * 
% 0.20/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:16:46
% 0.20/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-07T09:16:46
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  #||
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  ||#
% 0.20/0.49  
% 0.20/0.49  ; Summary of computation:
% 0.20/0.49  ;        90 formulas have been input or derived (from 36 formulas).
% 0.20/0.49  ;        42 (47%) were retained.  Of these,
% 0.20/0.49  ;            5 (12%) were simplified or subsumed later,
% 0.20/0.49  ;           37 (88%) are still being kept.
% 0.20/0.49  ; 
% 0.20/0.49  ; Run time in seconds excluding printing time:
% 0.20/0.49  ;     0.004  11%   Read assertion file          (1 call)
% 0.20/0.49  ;     0.001   3%   Assert                       (19 calls)
% 0.20/0.49  ;     0.002   6%   Process new row              (70 calls)
% 0.20/0.49  ;     0.002   6%   Resolution                   (70 calls)
% 0.20/0.49  ;     0.000   0%   Paramodulation               (35 calls)
% 0.20/0.49  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.49  ;     0.000   0%   Condensing                   (33 calls)
% 0.20/0.49  ;     0.001   3%   Forward subsumption          (33 calls)
% 0.20/0.49  ;     0.000   0%   Backward subsumption         (29 calls)
% 0.20/0.49  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.20/0.49  ;     0.001   3%   Forward simplification       (61 calls)
% 0.20/0.49  ;     0.001   3%   Backward simplification      (42 calls)
% 0.20/0.49  ;     0.000   0%   Ordering                     (7 calls)
% 0.20/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.49  ;     0.023  66%   Other
% 0.20/0.49  ;     0.035        Total
% 0.20/0.49  ;     0.037        Real time
% 0.20/0.49  ; 
% 0.20/0.49  ; Term-hash-array has 56 terms in all.
% 0.20/0.49  ; Feature-vector-row-index has 27 entries (27 at peak, 29 added, 2 deleted).
% 0.20/0.49  ; Feature-vector-row-index has 60 nodes (60 at peak, 66 added, 6 deleted).
% 0.20/0.49  ;  Retrieved 6 possibly forward subsuming rows in 33 calls.
% 0.20/0.49  ;  Retrieved 2 possibly backward subsumed rows in 29 calls.
% 0.20/0.49  ; Path-index has 52 entries (53 at peak, 57 added, 5 deleted).
% 0.20/0.49  ; Path-index has 79 nodes (79 at peak, 82 added, 3 deleted).
% 0.20/0.49  ; Trie-index has 52 entries (53 at peak, 57 added, 5 deleted).
% 0.20/0.49  ; Trie-index has 77 nodes (78 at peak, 83 added, 6 deleted).
% 0.20/0.49  ; Retrieved 15 generalization terms in 27 calls.
% 0.20/0.49  ; Retrieved 14 instance terms in 12 calls.
% 0.20/0.49  ; Retrieved 1,068 unifiable terms in 363 calls.
% 0.20/0.49  ; 
% 0.20/0.49  ; The agenda of rows to give has 3 entries:
% 0.20/0.49  ;     1 with value (4 8)           1 with value (4 9)            1 with value (4 11)
% 0.20/0.49  Evaluation took:
% 0.20/0.49    0.037 seconds of real time
% 0.20/0.49    0.031693 seconds of user run time
% 0.20/0.49    0.005906 seconds of system run time
% 0.20/0.49    0 calls to %EVAL
% 0.20/0.49    0 page faults and
% 0.20/0.49    2,685,704 bytes consed.
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:16:46
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  * 
%------------------------------------------------------------------------------