TSTP Solution File: SWV165+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV165+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 : Wed Jul 20 21:32:01 EDT 2022

% Result   : Theorem 22.92s 23.09s
% Output   : Refutation 22.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   15 (   3 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ gt(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

cnf(15,axiom,
    ( ~ leq(X,Y)
    | leq(X,succ(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).

cnf(16,axiom,
    ( ~ leq(X,Y)
    | gt(succ(Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

cnf(225,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).

cnf(256,negated_conjecture,
    leq(n0,'SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0001) ).

cnf(257,negated_conjecture,
    leq('SKOLEMAAAV28',tptp_minus_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0001) ).

cnf(282,axiom,
    ( ~ leq(n0,X)
    | ~ leq(X,n0)
    | X = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).

cnf(352,plain,
    leq('SKOLEMAAAV28',n0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,257]),225,theory(equality)]) ).

cnf(354,plain,
    gt(n0,'SKOLEMAAAV28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,257]),225,theory(equality)]) ).

cnf(15520,plain,
    n0 = 'SKOLEMAAAV28',
    inference('HYPERRESOLVE',[status(thm)],[282,352,256]) ).

cnf(15522,plain,
    $false,
    inference('REWRITE',[status(thm)],[354,3,15520,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWV165+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.15  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n005.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
% 0.14/0.37  % DateTime : Wed Jun 15 11:35:39 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.22/0.52  #<PACKAGE "SNARK-USER">
% 0.22/0.52  * 
% 0.22/0.52  SNARK-TPTP-OPTIONS
% 0.22/0.52  * 
% 0.22/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52   (USE-FACTORING :POS)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52  * 
% 0.22/0.52  "."
% 0.22/0.52  * 
% 0.22/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T11:35:39
% 0.22/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-15T11:35:39
% 0.41/0.56  WARNING:
% 0.41/0.56     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 22.92/23.09  
% 22.92/23.09  
% 22.92/23.09  #||
% 22.92/23.09  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.92/23.09  % SZS output start Refutation
% See solution above
% 22.92/23.09  ||#
% 22.92/23.09  
% 22.92/23.09  ; Summary of computation:
% 22.92/23.09  ;     47215 formulas have been input or derived (from 337 formulas).
% 22.92/23.09  ;     15522 (33%) were retained.  Of these,
% 22.92/23.09  ;         2666 (17%) were simplified or subsumed later,
% 22.92/23.09  ;        12856 (83%) are still being kept.
% 22.92/23.09  ; 
% 22.92/23.09  ; Run time in seconds excluding printing time:
% 22.92/23.09  ;     0.020   0%   Read assertion file          (1 call)
% 22.92/23.09  ;     0.012   0%   Assert                       (85 calls)
% 22.92/23.09  ;     1.373   6%   Process new row              (39,439 calls)
% 22.92/23.09  ;    16.164  72%   Resolution                   (672 calls)
% 22.92/23.09  ;     0.070   0%   Paramodulation               (336 calls)
% 22.92/23.09  ;     0.000   0%   Factoring                    (1 call)
% 22.92/23.09  ;     0.217   1%   Condensing                   (14,095 calls)
% 22.92/23.09  ;     2.410  11%   Forward subsumption          (14,095 calls)
% 22.92/23.09  ;     0.387   2%   Backward subsumption         (7,124 calls)
% 22.92/23.09  ;     0.103   0%   Clause clause subsumption    (15,976 calls)
% 22.92/23.09  ;     0.932   4%   Forward simplification       (39,438 calls)
% 22.92/23.09  ;     0.632   3%   Backward simplification      (15,518 calls)
% 22.92/23.09  ;     0.091   0%   Ordering                     (84,507 calls)
% 22.92/23.09  ;     0.001   0%   Sortal reasoning             (32 calls)
% 22.92/23.09  ;     0.001   0%   Purity testing               (1 call)
% 22.92/23.09  ;     0.154   1%   Other
% 22.92/23.09  ;    22.567        Total
% 22.92/23.09  ;    22.568        Real time
% 22.92/23.09  ; 
% 22.92/23.09  ; Term-hash-array has 20,631 terms in all.
% 22.92/23.09  ; Feature-vector-row-index has 6,510 entries (7,124 at peak, 7,124 added, 614 deleted).
% 22.92/23.09  ; Feature-vector-row-index has 33,593 nodes (34,372 at peak, 34,372 added, 779 deleted).
% 22.92/23.09  ;  Retrieved 20,853 possibly forward subsuming rows in 14,095 calls.
% 22.92/23.09  ;  Retrieved 3,594 possibly backward subsumed rows in 7,124 calls.
% 22.92/23.09  ; Path-index has 15,463 entries (20,639 at peak, 20,644 added, 5,181 deleted).
% 22.92/23.09  ; Path-index has 2,301 nodes (2,458 at peak, 2,463 added, 162 deleted).
% 22.92/23.09  ; Trie-index has 15,463 entries (20,639 at peak, 20,644 added, 5,181 deleted).
% 22.92/23.09  ; Trie-index has 32,490 nodes (46,140 at peak, 46,150 added, 13,660 deleted).
% 22.92/23.09  ; Retrieved 79,919 generalization terms in 137,163 calls.
% 22.92/23.09  ; Retrieved 16,785 instance terms in 8,393 calls.
% 22.92/23.09  ; Retrieved 31,722,197 unifiable terms in 149,918 calls.
% 22.92/23.09  ; 
% 22.92/23.09  ; The agenda of backward simplifiable rows to process has 2537 entries:
% 22.92/23.09  ;  2537 with value 0
% 22.92/23.09  ; The agenda of rows to process has 4293 entries:
% 22.92/23.09  ;    11 with value 6            3564 with value 19              44 with value 29
% 22.92/23.09  ;     4 with value 8               2 with value 21             128 with value 32
% 22.92/23.09  ;     1 with value 9              32 with value 23              32 with value 33
% 22.92/23.09  ;     1 with value 10            200 with value 24             256 with value 79
% 22.92/23.09  ;    18 with value 15
% 22.92/23.09  ; The agenda of rows to give has 12524 entries:
% 22.92/23.09  ;    23 with value (4 5)           5 with value (4 14)         281 with value (4 23)
% 22.92/23.09  ;    22 with value (4 6)          79 with value (4 15)        1621 with value (4 24)
% 22.92/23.09  ;    18 with value (4 7)           6 with value (4 17)         700 with value (4 29)
% 22.92/23.09  ;     8 with value (4 8)           2 with value (4 18)           1 with value (4 31)
% 22.92/23.09  ;    23 with value (4 9)        6083 with value (4 19)        1120 with value (4 32)
% 22.92/23.09  ;    13 with value (4 11)          1 with value (4 20)         200 with value (4 33)
% 22.92/23.09  ;    46 with value (4 13)         32 with value (4 21)        2240 with value (4 79)
% 22.92/23.09  Evaluation took:
% 22.92/23.09    22.572 seconds of real time
% 22.92/23.09    22.09254 seconds of user run time
% 22.92/23.09    0.480122 seconds of system run time
% 22.92/23.09    [Run times include 1.199 seconds GC run time.]
% 22.92/23.09    0 calls to %EVAL
% 22.92/23.09    0 page faults and
% 22.92/23.09    1,002,441,400 bytes consed.
% 22.92/23.09  :PROOF-FOUND
% 22.92/23.09  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-15T11:36:01
% 22.92/23.09  :PROOF-FOUND
% 22.92/23.09  * 
%------------------------------------------------------------------------------