TSTP Solution File: SWV188+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV188+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 21:32:05 EDT 2022

% Result   : Theorem 48.19s 48.44s
% Output   : Refutation 48.19s
% 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(262,negated_conjecture,
    leq(n0,'SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0116) ).

cnf(263,negated_conjecture,
    leq('SKOLEMAAAV28',tptp_minus_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0116) ).

cnf(295,axiom,
    ( ~ leq(n0,X)
    | ~ leq(X,n0)
    | X = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).

cnf(386,plain,
    leq('SKOLEMAAAV28',n0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,263]),225,theory(equality)]) ).

cnf(388,plain,
    gt(n0,'SKOLEMAAAV28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,263]),225,theory(equality)]) ).

cnf(27844,plain,
    n0 = 'SKOLEMAAAV28',
    inference('HYPERRESOLVE',[status(thm)],[295,386,262]) ).

cnf(27847,plain,
    $false,
    inference('REWRITE',[status(thm)],[388,3,27844,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV188+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 21:54:50 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  * 
% 0.20/0.51  * 
% 0.20/0.52  #<PACKAGE "SNARK-USER">
% 0.20/0.52  * 
% 0.20/0.52  SNARK-TPTP-OPTIONS
% 0.20/0.52  * 
% 0.20/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.52   (USE-FACTORING :POS)
% 0.20/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.52  * 
% 0.20/0.52  "."
% 0.20/0.52  * 
% 0.20/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T21:54:50
% 0.20/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T21:54:50
% 0.40/0.56  WARNING:
% 0.40/0.56     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 48.19/48.44  
% 48.19/48.44  
% 48.19/48.44  #||
% 48.19/48.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.19/48.44  % SZS output start Refutation
% See solution above
% 48.19/48.44  ||#
% 48.19/48.44  
% 48.19/48.44  ; Summary of computation:
% 48.19/48.44  ;     77891 formulas have been input or derived (from 364 formulas).
% 48.19/48.44  ;     27847 (36%) were retained.  Of these,
% 48.19/48.44  ;         3924 (14%) were simplified or subsumed later,
% 48.19/48.44  ;        23923 (86%) are still being kept.
% 48.19/48.44  ; 
% 48.19/48.44  ; Run time in seconds excluding printing time:
% 48.19/48.44  ;     0.022   0%   Read assertion file          (1 call)
% 48.19/48.44  ;     0.011   0%   Assert                       (92 calls)
% 48.19/48.44  ;     2.327   5%   Process new row              (66,556 calls)
% 48.19/48.44  ;    37.140  78%   Resolution                   (726 calls)
% 48.19/48.44  ;     0.072   0%   Paramodulation               (363 calls)
% 48.19/48.44  ;     0.000   0%   Factoring                    (1 call)
% 48.19/48.44  ;     0.287   1%   Condensing                   (22,116 calls)
% 48.19/48.44  ;     4.040   8%   Forward subsumption          (22,116 calls)
% 48.19/48.44  ;     0.686   1%   Backward subsumption         (11,531 calls)
% 48.19/48.44  ;     0.126   0%   Clause clause subsumption    (24,736 calls)
% 48.19/48.44  ;     1.372   3%   Forward simplification       (66,555 calls)
% 48.19/48.44  ;     1.495   3%   Backward simplification      (27,843 calls)
% 48.19/48.44  ;     0.108   0%   Ordering                     (106,243 calls)
% 48.19/48.44  ;     0.000   0%   Sortal reasoning             (32 calls)
% 48.19/48.44  ;     0.002   0%   Purity testing               (1 call)
% 48.19/48.44  ;     0.230   0%   Other
% 48.19/48.44  ;    47.918        Total
% 48.19/48.44  ;    47.919        Real time
% 48.19/48.44  ; 
% 48.19/48.44  ; Term-hash-array has 38,243 terms in all.
% 48.19/48.44  ; Feature-vector-row-index has 10,757 entries (11,531 at peak, 11,531 added, 774 deleted).
% 48.19/48.44  ; Feature-vector-row-index has 38,623 nodes (39,441 at peak, 39,441 added, 818 deleted).
% 48.19/48.44  ;  Retrieved 54,281 possibly forward subsuming rows in 22,116 calls.
% 48.19/48.44  ;  Retrieved 13,582 possibly backward subsumed rows in 11,531 calls.
% 48.19/48.44  ; Path-index has 30,551 entries (38,257 at peak, 38,265 added, 7,714 deleted).
% 48.19/48.44  ; Path-index has 2,462 nodes (2,649 at peak, 2,657 added, 195 deleted).
% 48.19/48.44  ; Trie-index has 30,551 entries (38,257 at peak, 38,265 added, 7,714 deleted).
% 48.19/48.44  ; Trie-index has 61,187 nodes (81,065 at peak, 81,081 added, 19,894 deleted).
% 48.19/48.44  ; Retrieved 130,411 generalization terms in 221,715 calls.
% 48.19/48.44  ; Retrieved 32,625 instance terms in 16,311 calls.
% 48.19/48.44  ; Retrieved 72,924,444 unifiable terms in 222,685 calls.
% 48.19/48.44  ; 
% 48.19/48.44  ; The agenda of backward simplifiable rows to process has 3765 entries:
% 48.19/48.44  ;  3765 with value 0
% 48.19/48.44  ; The agenda of rows to process has 6228 entries:
% 48.19/48.44  ;    12 with value 6            5440 with value 19              44 with value 29
% 48.19/48.44  ;     4 with value 8               2 with value 21             128 with value 32
% 48.19/48.44  ;     1 with value 9              32 with value 23              32 with value 33
% 48.19/48.44  ;     1 with value 10            256 with value 24             256 with value 79
% 48.19/48.44  ;    20 with value 15
% 48.19/48.44  ; The agenda of input rows to give has 1 entry:
% 48.19/48.44  ;     1 with value 7
% 48.19/48.44  ; The agenda of rows to give has 23564 entries:
% 48.19/48.44  ;    30 with value (4 5)           3 with value (4 14)         449 with value (4 23)
% 48.19/48.44  ;    29 with value (4 6)         114 with value (4 15)        2941 with value (4 24)
% 48.19/48.44  ;    32 with value (4 7)          19 with value (4 17)        1288 with value (4 29)
% 48.19/48.44  ;    15 with value (4 8)           2 with value (4 18)           1 with value (4 31)
% 48.19/48.44  ;    31 with value (4 9)       12768 with value (4 19)        1792 with value (4 32)
% 48.19/48.44  ;    40 with value (4 10)          1 with value (4 20)         308 with value (4 33)
% 48.19/48.44  ;    13 with value (4 11)         44 with value (4 21)        3584 with value (4 79)
% 48.19/48.44  ;    60 with value (4 13)
% 48.19/48.44  Evaluation took:
% 48.19/48.44    47.924 seconds of real time
% 48.19/48.44    47.127728 seconds of user run time
% 48.19/48.44    0.796096 seconds of system run time
% 48.19/48.44    [Run times include 2.281 seconds GC run time.]
% 48.19/48.44    0 calls to %EVAL
% 48.19/48.44    0 page faults and
% 48.19/48.44    1,836,515,296 bytes consed.
% 48.19/48.44  :PROOF-FOUND
% 48.19/48.44  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T21:55:38
% 48.19/48.44  :PROOF-FOUND
% 48.19/48.44  * 
%------------------------------------------------------------------------------