TSTP Solution File: KRS079+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 03:28:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   27 (  14 unt;   0 nHn;  26 RR)
%            Number of literals    :   47 (   7 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   25 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( X != Y
    | ~ cp1(X)
    | cp1(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp1_substitution_1) ).

cnf(14,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

cnf(18,axiom,
    ( ~ cUnsatisfiable(X)
    | rf2(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(19,axiom,
    ( ~ cUnsatisfiable(X)
    | cp2('SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(20,axiom,
    ( ~ cUnsatisfiable(X)
    | rf1(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(21,axiom,
    ( ~ cUnsatisfiable(X)
    | cp1('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(22,axiom,
    ( ~ cUnsatisfiable(X)
    | rr(X,'SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(25,axiom,
    ( ~ cp1(X)
    | ~ cp2(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(26,axiom,
    ( ~ cowlThing(X)
    | ~ rf1(X,Y)
    | ~ rf1(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

cnf(27,plain,
    ( ~ rf1(X,Y)
    | ~ rf1(X,Z)
    | Y = Z ),
    inference('REWRITE',[status(thm)],[26,14]) ).

cnf(28,axiom,
    ( ~ cowlThing(X)
    | ~ rf2(X,Y)
    | ~ rf2(X,Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

cnf(29,plain,
    ( ~ rf2(X,Y)
    | ~ rf2(X,Z)
    | Y = Z ),
    inference('REWRITE',[status(thm)],[28,14]) ).

cnf(30,axiom,
    cUnsatisfiable(i2003_11_14_17_19_17492),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

cnf(31,axiom,
    ( ~ rr(X,Y)
    | rf1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

cnf(32,axiom,
    ( ~ rr(X,Y)
    | rf2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

cnf(33,plain,
    cp2('SKOLEMAAAV1'(i2003_11_14_17_19_17492)),
    inference('HYPERRESOLVE',[status(thm)],[19,30]) ).

cnf(34,plain,
    cp1('SKOLEMAAAV2'(i2003_11_14_17_19_17492)),
    inference('HYPERRESOLVE',[status(thm)],[21,30]) ).

cnf(35,plain,
    rf2(i2003_11_14_17_19_17492,'SKOLEMAAAV1'(i2003_11_14_17_19_17492)),
    inference('HYPERRESOLVE',[status(thm)],[18,30]) ).

cnf(36,plain,
    rf1(i2003_11_14_17_19_17492,'SKOLEMAAAV2'(i2003_11_14_17_19_17492)),
    inference('HYPERRESOLVE',[status(thm)],[20,30]) ).

cnf(37,plain,
    rr(i2003_11_14_17_19_17492,'SKOLEMAAAV3'(i2003_11_14_17_19_17492)),
    inference('HYPERRESOLVE',[status(thm)],[22,30]) ).

cnf(38,plain,
    ~ cp1('SKOLEMAAAV1'(i2003_11_14_17_19_17492)),
    inference('UR-RESOLVE',[status(thm)],[25,33]) ).

cnf(40,plain,
    rf2(i2003_11_14_17_19_17492,'SKOLEMAAAV3'(i2003_11_14_17_19_17492)),
    inference('HYPERRESOLVE',[status(thm)],[32,37]) ).

cnf(41,plain,
    rf1(i2003_11_14_17_19_17492,'SKOLEMAAAV3'(i2003_11_14_17_19_17492)),
    inference('HYPERRESOLVE',[status(thm)],[31,37]) ).

cnf(42,plain,
    'SKOLEMAAAV2'(i2003_11_14_17_19_17492) != 'SKOLEMAAAV1'(i2003_11_14_17_19_17492),
    inference('UR-RESOLVE',[status(thm)],[4,38,34]) ).

cnf(43,plain,
    'SKOLEMAAAV1'(i2003_11_14_17_19_17492) = 'SKOLEMAAAV3'(i2003_11_14_17_19_17492),
    inference('HYPERRESOLVE',[status(thm)],[29,40,35]) ).

cnf(45,plain,
    rf1(i2003_11_14_17_19_17492,'SKOLEMAAAV1'(i2003_11_14_17_19_17492)),
    inference('REWRITE',[status(thm)],[41,43,theory(equality)]) ).

cnf(46,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,45,36]),42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 18:56:34 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T18:56:34
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T18:56:34
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;       120 formulas have been input or derived (from 38 formulas).
% 0.19/0.50  ;        46 (38%) were retained.  Of these,
% 0.19/0.50  ;            8 (17%) were simplified or subsumed later,
% 0.19/0.50  ;           38 (83%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.005  14%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (22 calls)
% 0.19/0.50  ;     0.004  11%   Process new row              (80 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (74 calls)
% 0.19/0.50  ;     0.001   3%   Paramodulation               (37 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.50  ;     0.000   0%   Condensing                   (27 calls)
% 0.19/0.50  ;     0.001   3%   Forward subsumption          (27 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (26 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.19/0.50  ;     0.001   3%   Forward simplification       (73 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (43 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (4 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.001   3%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  61%   Other
% 0.19/0.50  ;     0.036        Total
% 0.19/0.50  ;     0.039        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 58 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 24 entries (24 at peak, 26 added, 2 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 52 nodes (52 at peak, 58 added, 6 deleted).
% 0.19/0.50  ;  Retrieved 4 possibly forward subsuming rows in 27 calls.
% 0.19/0.50  ;  Retrieved 4 possibly backward subsumed rows in 26 calls.
% 0.19/0.50  ; Path-index has 54 entries (55 at peak, 59 added, 5 deleted).
% 0.19/0.50  ; Path-index has 76 nodes (76 at peak, 80 added, 4 deleted).
% 0.19/0.50  ; Trie-index has 54 entries (55 at peak, 59 added, 5 deleted).
% 0.19/0.50  ; Trie-index has 73 nodes (75 at peak, 80 added, 7 deleted).
% 0.19/0.50  ; Retrieved 31 generalization terms in 38 calls.
% 0.19/0.50  ; Retrieved 18 instance terms in 16 calls.
% 0.19/0.50  ; Retrieved 815 unifiable terms in 329 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 7 entries:
% 0.19/0.50  ;     7 with value 10
% 0.19/0.50  ; The agenda of rows to give has 2 entries:
% 0.19/0.50  ;     2 with value (4 10)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.04 seconds of real time
% 0.19/0.50    0.03617 seconds of user run time
% 0.19/0.50    0.003188 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    3,230,064 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T18:56:34
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------