TSTP Solution File: MSC012+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MSC012+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 22:58:41 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   5 unt;   4 nHn;   6 RR)
%            Number of literals    :   23 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   15 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ p(X)
    | ~ less(X,Y)
    | ~ p(Y)
    | goal ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_to_right) ).

cnf(2,axiom,
    ( p(X)
    | less(X,'SKOLEMAAAU1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_to_left) ).

cnf(3,axiom,
    ( p(X)
    | p('SKOLEMAAAU1'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_to_left) ).

cnf(4,axiom,
    ( ~ less(X,Y)
    | ~ less(Y,Z)
    | less(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_less) ).

cnf(5,axiom,
    less(X,'SKOLEMAAAU2'(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',serial_less) ).

cnf(6,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).

cnf(7,plain,
    ( ~ p(X)
    | ~ less(X,Y)
    | ~ p(Y) ),
    inference('REWRITE',[status(thm)],[1,6]) ).

cnf(10,plain,
    ( p('SKOLEMAAAU2'(X))
    | less(X,'SKOLEMAAAU1'('SKOLEMAAAU2'(X))) ),
    inference('HYPERRESOLVE',[status(thm)],[4,5,2]) ).

cnf(25,plain,
    ( p('SKOLEMAAAU2'('SKOLEMAAAU1'(X)))
    | p(X) ),
    inference('HYPERRESOLVE',[status(thm)],[7,10,3,3]) ).

cnf(30,plain,
    p(X),
    inference('HYPERRESOLVE',[status(thm)],[7,25,3,5]) ).

cnf(31,plain,
    ~ less(X,Y),
    inference('REWRITE',[status(thm)],[7,30]) ).

cnf(32,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : MSC012+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  1 16:43:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T16:43:02
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-01T16:43:02
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.50  ||#
% 0.18/0.50  
% 0.18/0.50  ; Summary of computation:
% 0.18/0.50  ;        73 formulas have been input or derived (from 12 formulas).
% 0.18/0.50  ;        32 (44%) were retained.  Of these,
% 0.18/0.50  ;           28 (88%) were simplified or subsumed later,
% 0.18/0.50  ;            4 (12%) are still being kept.
% 0.18/0.50  ; 
% 0.18/0.50  ; Run time in seconds:
% 0.18/0.50  ;     0.001   3%   Read assertion file          (1 call)
% 0.18/0.50  ;     0.001   3%   Assert                       (5 calls)
% 0.18/0.50  ;     0.000   0%   Process new row              (62 calls)
% 0.18/0.50  ;     0.001   3%   Resolution                   (22 calls)
% 0.18/0.50  ;     0.000   0%   Paramodulation               (11 calls)
% 0.18/0.50  ;     0.000   0%   Factoring                    (5 calls)
% 0.18/0.50  ;     0.000   0%   Condensing                   (36 calls)
% 0.18/0.50  ;     0.003   9%   Forward subsumption          (36 calls)
% 0.18/0.50  ;     0.001   3%   Backward subsumption         (22 calls)
% 0.18/0.50  ;     0.000   0%   Clause clause subsumption    (54 calls)
% 0.18/0.50  ;     0.003   9%   Forward simplification       (62 calls)
% 0.18/0.50  ;     0.002   6%   Backward simplification      (32 calls)
% 0.18/0.50  ;     0.000   0%   Ordering                     (42 calls)
% 0.18/0.50  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.18/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.50  ;     0.022  63%   Other
% 0.18/0.50  ;     0.035        Total
% 0.18/0.50  ;     0.035        Real time
% 0.18/0.50  ; 
% 0.18/0.50  ; Term-hash-array has 58 terms in all.
% 0.18/0.50  ; Feature-vector-row-index has 0 entries (19 at peak, 22 added, 22 deleted).
% 0.18/0.50  ; Feature-vector-row-index has 1 node (65 at peak, 81 added, 80 deleted).
% 0.18/0.50  ;  Retrieved 99 possibly forward subsuming rows in 36 calls.
% 0.18/0.50  ;  Retrieved 2 possibly backward subsumed rows in 22 calls.
% 0.18/0.50  ; Path-index has 3 entries (55 at peak, 61 added, 58 deleted).
% 0.18/0.50  ; Path-index has 62 nodes (111 at peak, 116 added, 54 deleted).
% 0.18/0.50  ; Trie-index has 3 entries (55 at peak, 61 added, 58 deleted).
% 0.18/0.50  ; Trie-index has 7 nodes (105 at peak, 115 added, 108 deleted).
% 0.18/0.50  ; Retrieved 60 generalization terms in 53 calls.
% 0.18/0.50  ; Retrieved 22 instance terms in 9 calls.
% 0.18/0.50  ; Retrieved 365 unifiable terms in 106 calls.
% 0.18/0.50  ; 
% 0.18/0.50  ; The agenda of rows to process has 4 entries:
% 0.18/0.50  ;     1 with value 11              2 with value 13               1 with value 15
% 0.18/0.50  ; The agenda of input rows to give has 1 entry:
% 0.18/0.50  ;     1 with value 4
% 0.18/0.50  ; The agenda of rows to give has 1 entry:
% 0.18/0.50  ;     1 with value (4 6)
% 0.18/0.50  Evaluation took:
% 0.18/0.50    0.035 seconds of real time
% 0.18/0.50    0.027974 seconds of user run time
% 0.18/0.50    0.007183 seconds of system run time
% 0.18/0.50    0 calls to %EVAL
% 0.18/0.50    0 page faults and
% 0.18/0.50    2,317,416 bytes consed.
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T16:43:02
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  * 
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