TSTP Solution File: KRS072+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS072+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (   9 unt;   0 nHn;  17 RR)
%            Number of literals    :   28 (   3 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

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

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

cnf(20,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rr('SKOLEMAAAV1'(X),Y)
    | ~ rr('SKOLEMAAAV1'(X),Z)
    | Y = Z ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(21,axiom,
    ( ~ cUnsatisfiable(X)
    | rr('SKOLEMAAAV1'(X),'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(22,axiom,
    ( ~ cUnsatisfiable(X)
    | cp1('SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(23,axiom,
    ( ~ cUnsatisfiable(X)
    | cp2(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

cnf(28,axiom,
    ( ~ cp1(X)
    | ~ cp2(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

cnf(37,axiom,
    ( ~ rinvR(X,Y)
    | rr(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

cnf(39,axiom,
    cUnsatisfiable(i2003_11_14_17_18_50190),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

cnf(40,plain,
    cp2(i2003_11_14_17_18_50190),
    inference('HYPERRESOLVE',[status(thm)],[23,39]) ).

cnf(41,plain,
    cp1('SKOLEMAAAV2'(i2003_11_14_17_18_50190)),
    inference('HYPERRESOLVE',[status(thm)],[22,39]) ).

cnf(42,plain,
    rinvR(i2003_11_14_17_18_50190,'SKOLEMAAAV1'(i2003_11_14_17_18_50190)),
    inference('HYPERRESOLVE',[status(thm)],[19,39]) ).

cnf(43,plain,
    rr('SKOLEMAAAV1'(i2003_11_14_17_18_50190),'SKOLEMAAAV2'(i2003_11_14_17_18_50190)),
    inference('HYPERRESOLVE',[status(thm)],[21,39]) ).

cnf(47,plain,
    ~ cp1(i2003_11_14_17_18_50190),
    inference('UR-RESOLVE',[status(thm)],[28,40]) ).

cnf(52,plain,
    'SKOLEMAAAV2'(i2003_11_14_17_18_50190) != i2003_11_14_17_18_50190,
    inference('UR-RESOLVE',[status(thm)],[4,41,47]) ).

cnf(53,plain,
    rr('SKOLEMAAAV1'(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190),
    inference('HYPERRESOLVE',[status(thm)],[37,42]) ).

cnf(56,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[20,53,39,43]),52]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS072+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n029.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 20:32:20 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  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45   (USE-FACTORING :POS)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45  * 
% 0.19/0.45  "."
% 0.19/0.45  * 
% 0.19/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T20:32:20
% 0.19/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-07T20:32:20
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;       106 formulas have been input or derived (from 51 formulas).
% 0.19/0.49  ;        56 (53%) were retained.  Of these,
% 0.19/0.49  ;            2 ( 4%) were simplified or subsumed later,
% 0.19/0.49  ;           54 (96%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.005  13%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.001   3%   Assert                       (23 calls)
% 0.19/0.49  ;     0.004  11%   Process new row              (84 calls)
% 0.19/0.49  ;     0.003   8%   Resolution                   (100 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (50 calls)
% 0.19/0.49  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.49  ;     0.000   0%   Condensing                   (37 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (37 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (36 calls)
% 0.19/0.49  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.19/0.49  ;     0.001   3%   Forward simplification       (84 calls)
% 0.19/0.49  ;     0.001   3%   Backward simplification      (56 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (2 calls)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.001   3%   Purity testing               (1 call)
% 0.19/0.49  ;     0.022  58%   Other
% 0.19/0.49  ;     0.038        Total
% 0.19/0.49  ;     0.039        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 64 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 34 entries (34 at peak, 36 added, 2 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 71 nodes (71 at peak, 74 added, 3 deleted).
% 0.19/0.49  ;  Retrieved 5 possibly forward subsuming rows in 37 calls.
% 0.19/0.49  ;  Retrieved 9 possibly backward subsumed rows in 36 calls.
% 0.19/0.49  ; Path-index has 63 entries (63 at peak, 65 added, 2 deleted).
% 0.19/0.49  ; Path-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 63 entries (63 at peak, 65 added, 2 deleted).
% 0.19/0.49  ; Trie-index has 89 nodes (89 at peak, 89 added, 0 deleted).
% 0.19/0.49  ; Retrieved 25 generalization terms in 35 calls.
% 0.19/0.49  ; Retrieved 21 instance terms in 19 calls.
% 0.19/0.49  ; Retrieved 982 unifiable terms in 394 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 4 entries:
% 0.19/0.49  ;     4 with value 9
% 0.19/0.49  ; The agenda of rows to give has 3 entries:
% 0.19/0.49  ;     1 with value (4 8)           2 with value (4 9)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.039 seconds of real time
% 0.19/0.49    0.032196 seconds of user run time
% 0.19/0.49    0.007265 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    2,697,984 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T20:32:20
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------