TSTP Solution File: KRS089+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS089+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 03:28:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (  10 unt;   2 nHn;  12 RR)
%            Number of literals    :   31 (  14 equ;  15 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    cowlThing(X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

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

cnf(20,axiom,
    ( ~ cUnsatisfiable(X)
    | '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(22,axiom,
    ( ~ cowlThing(X)
    | rp(X,'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(23,plain,
    rp(X,'SKOLEMAAAV4'(X)),
    inference('REWRITE',[status(thm)],[22,12]) ).

cnf(24,axiom,
    ( ~ cowlThing(X)
    | 'SKOLEMAAAV4'(X) = ispy ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(25,plain,
    'SKOLEMAAAV4'(X) = ispy,
    inference('REWRITE',[status(thm)],[24,12]) ).

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

cnf(28,axiom,
    ( ~ rinvP(ispy,X)
    | ~ rinvP(ispy,Y)
    | ~ rinvP(ispy,Z)
    | X = Y
    | X = Z
    | Y = Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

cnf(29,axiom,
    cUnsatisfiable(i2003_11_14_17_19_53168),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

cnf(30,plain,
    rp(X,ispy),
    inference('REWRITE',[status(thm)],[23,25,theory(equality)]) ).

cnf(31,plain,
    rinvP(ispy,X),
    inference('HYPERRESOLVE',[status(thm)],[26,30]) ).

cnf(32,plain,
    ( X = Y
    | X = Z
    | Y = Z ),
    inference('REWRITE',[status(thm)],[28,31]) ).

cnf(36,plain,
    'SKOLEMAAAV1'(i2003_11_14_17_19_53168) != 'SKOLEMAAAV2'(i2003_11_14_17_19_53168),
    inference('UR-RESOLVE',[status(thm)],[19,29]) ).

cnf(37,plain,
    'SKOLEMAAAV1'(i2003_11_14_17_19_53168) != 'SKOLEMAAAV3'(i2003_11_14_17_19_53168),
    inference('UR-RESOLVE',[status(thm)],[20,29]) ).

cnf(38,plain,
    'SKOLEMAAAV2'(i2003_11_14_17_19_53168) != 'SKOLEMAAAV3'(i2003_11_14_17_19_53168),
    inference('UR-RESOLVE',[status(thm)],[21,29]) ).

cnf(52,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[32,37,36]),38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS089+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.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 20:19:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 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 2022-06-07T20:19:21
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-07T20:19:21
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       219 formulas have been input or derived (from 32 formulas).
% 0.20/0.52  ;        52 (24%) were retained.  Of these,
% 0.20/0.52  ;            6 (12%) were simplified or subsumed later,
% 0.20/0.52  ;           46 (88%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.004   8%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   2%   Assert                       (19 calls)
% 0.20/0.52  ;     0.007  15%   Process new row              (161 calls)
% 0.20/0.52  ;     0.008  17%   Resolution                   (62 calls)
% 0.20/0.52  ;     0.001   2%   Paramodulation               (31 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (2 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (98 calls)
% 0.20/0.52  ;     0.002   4%   Forward subsumption          (98 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (36 calls)
% 0.20/0.52  ;     0.002   4%   Clause clause subsumption    (75 calls)
% 0.20/0.52  ;     0.001   2%   Forward simplification       (161 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (50 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (299 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  44%   Other
% 0.20/0.52  ;     0.048        Total
% 0.20/0.52  ;     0.050        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 63 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 33 entries (33 at peak, 36 added, 3 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 56 nodes (56 at peak, 66 added, 10 deleted).
% 0.20/0.52  ;  Retrieved 97 possibly forward subsuming rows in 98 calls.
% 0.20/0.52  ;  Retrieved 8 possibly backward subsumed rows in 36 calls.
% 0.20/0.52  ; Path-index has 60 entries (60 at peak, 67 added, 7 deleted).
% 0.20/0.52  ; Path-index has 68 nodes (68 at peak, 69 added, 1 deleted).
% 0.20/0.52  ; Trie-index has 60 entries (60 at peak, 67 added, 7 deleted).
% 0.20/0.52  ; Trie-index has 87 nodes (87 at peak, 89 added, 2 deleted).
% 0.20/0.52  ; Retrieved 47 generalization terms in 282 calls.
% 0.20/0.52  ; Retrieved 17 instance terms in 13 calls.
% 0.20/0.52  ; Retrieved 1,264 unifiable terms in 366 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 17 entries:
% 0.20/0.52  ;    14 with value 9               3 with value 14
% 0.20/0.52  ; The agenda of rows to give has 14 entries:
% 0.20/0.53  ;     1 with value (4 8)           4 with value (4 13)           1 with value (4 15)
% 0.20/0.53  ;     1 with value (4 12)          1 with value (4 14)           6 with value (4 16)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.05 seconds of real time
% 0.20/0.53    0.043246 seconds of user run time
% 0.20/0.53    0.007262 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,111,920 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T20:19:21
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------