TSTP Solution File: KRS124+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 0.22s 0.52s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   8 unt;   0 nHn;  15 RR)
%            Number of literals    :   23 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   10 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ cUnsatisfiable(X)
    | rr(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(5,axiom,
    ( ~ cUnsatisfiable(X)
    | ~ rr(X,Y)
    | ca_Ax3(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

cnf(10,axiom,
    ( ~ cc(X)
    | cdxcomp(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

cnf(11,axiom,
    ( ~ cd(X)
    | ~ ra_Px1(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

cnf(13,axiom,
    ( ~ cdxcomp(X)
    | ra_Px1(X,'SKOLEMAAAV4'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

cnf(19,axiom,
    ( ~ ca_Ax3(X)
    | cd(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

cnf(20,axiom,
    ( ~ ca_Ax3(X)
    | cc(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

cnf(22,axiom,
    cUnsatisfiable(i2003_11_14_17_22_10903),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

cnf(23,plain,
    rr(i2003_11_14_17_22_10903,'SKOLEMAAAV1'(i2003_11_14_17_22_10903)),
    inference('HYPERRESOLVE',[status(thm)],[4,22]) ).

cnf(26,plain,
    ca_Ax3('SKOLEMAAAV1'(i2003_11_14_17_22_10903)),
    inference('HYPERRESOLVE',[status(thm)],[5,23,22]) ).

cnf(28,plain,
    cc('SKOLEMAAAV1'(i2003_11_14_17_22_10903)),
    inference('HYPERRESOLVE',[status(thm)],[20,26]) ).

cnf(29,plain,
    cd('SKOLEMAAAV1'(i2003_11_14_17_22_10903)),
    inference('HYPERRESOLVE',[status(thm)],[19,26]) ).

cnf(30,plain,
    cdxcomp('SKOLEMAAAV1'(i2003_11_14_17_22_10903)),
    inference('HYPERRESOLVE',[status(thm)],[10,28]) ).

cnf(31,plain,
    ~ ra_Px1('SKOLEMAAAV1'(i2003_11_14_17_22_10903),X),
    inference('UR-RESOLVE',[status(thm)],[11,29]) ).

cnf(32,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,30]),31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : KRS124+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun  7 09:39:40 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48  * 
% 0.22/0.48  * 
% 0.22/0.49  #<PACKAGE "SNARK-USER">
% 0.22/0.49  * 
% 0.22/0.49  SNARK-TPTP-OPTIONS
% 0.22/0.49  * 
% 0.22/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49   (USE-FACTORING :POS)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49  * 
% 0.22/0.49  "."
% 0.22/0.49  * 
% 0.22/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:39:40
% 0.22/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-07T09:39:40
% 0.22/0.50  WARNING:
% 0.22/0.50     |cf| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.22/0.50  WARNING:
% 0.22/0.50     |ce3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.22/0.50  WARNING:
% 0.22/0.50     |cc1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.22/0.50  WARNING:
% 0.22/0.50     |cowlNothing| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.22/0.52  
% 0.22/0.52  
% 0.22/0.52  #||
% 0.22/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.52  % SZS output start Refutation
% See solution above
% 0.22/0.52  ||#
% 0.22/0.52  
% 0.22/0.52  ; Summary of computation:
% 0.22/0.52  ;        49 formulas have been input or derived (from 28 formulas).
% 0.22/0.52  ;        32 (65%) were retained.  Of these,
% 0.22/0.52  ;            2 ( 6%) were simplified or subsumed later,
% 0.22/0.52  ;           30 (94%) are still being kept.
% 0.22/0.52  ; 
% 0.22/0.52  ; Run time in seconds excluding printing time:
% 0.22/0.52  ;     0.002   6%   Read assertion file          (1 call)
% 0.22/0.52  ;     0.001   3%   Assert                       (14 calls)
% 0.22/0.52  ;     0.001   3%   Process new row              (43 calls)
% 0.22/0.52  ;     0.002   6%   Resolution                   (54 calls)
% 0.22/0.52  ;     0.001   3%   Paramodulation               (27 calls)
% 0.22/0.52  ;     0.000   0%   Factoring                    (5 calls)
% 0.22/0.52  ;     0.001   3%   Condensing                   (22 calls)
% 0.22/0.52  ;     0.000   0%   Forward subsumption          (22 calls)
% 0.22/0.52  ;     0.000   0%   Backward subsumption         (21 calls)
% 0.22/0.52  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.22/0.52  ;     0.001   3%   Forward simplification       (38 calls)
% 0.22/0.52  ;     0.000   0%   Backward simplification      (30 calls)
% 0.22/0.52  ;     0.000   0%   Ordering                     (10 calls)
% 0.22/0.52  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.22/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.22/0.52  ;     0.022  69%   Other
% 0.22/0.52  ;     0.032        Total
% 0.22/0.52  ;     0.034        Real time
% 0.22/0.52  ; 
% 0.22/0.52  ; Term-hash-array has 35 terms in all.
% 0.22/0.52  ; Feature-vector-row-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.22/0.52  ; Feature-vector-row-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.22/0.52  ;  Retrieved 3 possibly forward subsuming rows in 22 calls.
% 0.22/0.52  ;  Retrieved 2 possibly backward subsumed rows in 21 calls.
% 0.22/0.52  ; Path-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.22/0.52  ; Path-index has 77 nodes (77 at peak, 77 added, 0 deleted).
% 0.22/0.52  ; Trie-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.22/0.52  ; Trie-index has 73 nodes (73 at peak, 73 added, 0 deleted).
% 0.22/0.52  ; Retrieved 10 generalization terms in 11 calls.
% 0.22/0.52  ; Retrieved 8 instance terms in 8 calls.
% 0.22/0.52  ; Retrieved 149 unifiable terms in 124 calls.
% 0.22/0.52  ; 
% 0.22/0.52  ; The agenda of rows to give has 2 entries:
% 0.22/0.52  ;     1 with value (4 10)          1 with value (4 11)
% 0.22/0.52  Evaluation took:
% 0.22/0.52    0.034 seconds of real time
% 0.22/0.52    0.026823 seconds of user run time
% 0.22/0.52    0.006954 seconds of system run time
% 0.22/0.52    0 calls to %EVAL
% 0.22/0.52    0 page faults and
% 0.22/0.52    2,247,696 bytes consed.
% 0.22/0.52  :PROOF-FOUND
% 0.22/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T09:39:40
% 0.22/0.52  :PROOF-FOUND
% 0.22/0.52  * 
%------------------------------------------------------------------------------