TSTP Solution File: KRS101+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS101+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 03:28:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   8 unt;   1 nHn;  15 RR)
%            Number of literals    :   27 (   3 equ;  15 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(16,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rr(X,Y)
    | cd(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(17,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rr(X,Y)
    | ~ rs(Y,Z)
    | ~ rs(Y,U)
    | Z = U
    | cc(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(18,axiom,
    ( ~ cUnsatisfiable(X)
    | rr(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(19,axiom,
    ( ~ cUnsatisfiable(X)
    | rs('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(20,axiom,
    ( ~ cUnsatisfiable(X)
    | rs('SKOLEMAAAV1'(X),'SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(21,axiom,
    ( ~ cUnsatisfiable(X)
    | 'SKOLEMAAAV2'(X) != 'SKOLEMAAAV3'(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(32,axiom,
    ( ~ cc(X)
    | ~ cd(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(33,axiom,
    cUnsatisfiable(i2003_11_14_17_20_36582),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

cnf(34,plain,
    rr(i2003_11_14_17_20_36582,'SKOLEMAAAV1'(i2003_11_14_17_20_36582)),
    inference('HYPERRESOLVE',[status(thm)],[18,33]) ).

cnf(35,plain,
    rs('SKOLEMAAAV1'(i2003_11_14_17_20_36582),'SKOLEMAAAV2'(i2003_11_14_17_20_36582)),
    inference('HYPERRESOLVE',[status(thm)],[19,33]) ).

cnf(36,plain,
    rs('SKOLEMAAAV1'(i2003_11_14_17_20_36582),'SKOLEMAAAV3'(i2003_11_14_17_20_36582)),
    inference('HYPERRESOLVE',[status(thm)],[20,33]) ).

cnf(37,plain,
    'SKOLEMAAAV2'(i2003_11_14_17_20_36582) != 'SKOLEMAAAV3'(i2003_11_14_17_20_36582),
    inference('UR-RESOLVE',[status(thm)],[21,33]) ).

cnf(38,plain,
    cd('SKOLEMAAAV1'(i2003_11_14_17_20_36582)),
    inference('HYPERRESOLVE',[status(thm)],[16,34,33]) ).

cnf(39,plain,
    ~ cc('SKOLEMAAAV1'(i2003_11_14_17_20_36582)),
    inference('UR-RESOLVE',[status(thm)],[32,38]) ).

cnf(40,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,36,33,34,35]),39,37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS101+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun  7 20:39:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T20:39:06
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-07T20:39:06
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        85 formulas have been input or derived (from 36 formulas).
% 0.20/0.51  ;        40 (47%) were retained.  Of these,
% 0.20/0.51  ;            2 ( 5%) were simplified or subsumed later,
% 0.20/0.51  ;           38 (95%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.003   8%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (16 calls)
% 0.20/0.51  ;     0.004  11%   Process new row              (54 calls)
% 0.20/0.51  ;     0.003   8%   Resolution                   (70 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (35 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.51  ;     0.001   3%   Condensing                   (31 calls)
% 0.20/0.51  ;     0.001   3%   Forward subsumption          (31 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (30 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (54 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (40 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (28 calls)
% 0.20/0.51  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.024  63%   Other
% 0.20/0.51  ;     0.038        Total
% 0.20/0.51  ;     0.040        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 54 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 28 entries (28 at peak, 30 added, 2 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 102 nodes (102 at peak, 108 added, 6 deleted).
% 0.20/0.51  ;  Retrieved 5 possibly forward subsuming rows in 31 calls.
% 0.20/0.51  ;  Retrieved 3 possibly backward subsumed rows in 30 calls.
% 0.20/0.51  ; Path-index has 53 entries (53 at peak, 55 added, 2 deleted).
% 0.20/0.51  ; Path-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 53 entries (53 at peak, 55 added, 2 deleted).
% 0.20/0.51  ; Trie-index has 88 nodes (88 at peak, 88 added, 0 deleted).
% 0.20/0.51  ; Retrieved 15 generalization terms in 26 calls.
% 0.20/0.51  ; Retrieved 11 instance terms in 9 calls.
% 0.20/0.51  ; Retrieved 1,044 unifiable terms in 437 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 15 entries:
% 0.20/0.51  ;     3 with value 14              4 with value 24               8 with value 25
% 0.20/0.51  ; The agenda of rows to give has 2 entries:
% 0.20/0.51  ;     2 with value (4 8)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.041 seconds of real time
% 0.20/0.51    0.033488 seconds of user run time
% 0.20/0.51    0.007046 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,750,720 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T20:39:06
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------