TSTP Solution File: SWV164+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 21:32:00 EDT 2022

% Result   : Theorem 126.43s 126.57s
% Output   : Refutation 126.43s
% 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/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

cnf(15,axiom,
    ( ~ leq(X,Y)
    | leq(X,succ(Y)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ) ).

cnf(16,axiom,
    ( ~ leq(X,Y)
    | gt(succ(Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

cnf(225,axiom,
    succ(tptp_minus_1) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',succ_tptp_minus_1) ).

cnf(259,negated_conjecture,
    leq(n0,'SKOLEMAAAV28'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0014) ).

cnf(260,negated_conjecture,
    leq('SKOLEMAAAV28',tptp_minus_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0014) ).

cnf(300,axiom,
    ( ~ leq(n0,X)
    | ~ leq(X,n0)
    | X = n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

cnf(413,plain,
    leq('SKOLEMAAAV28',n0),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,260]),225,theory(equality)]) ).

cnf(417,plain,
    gt(n0,'SKOLEMAAAV28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,260]),225,theory(equality)]) ).

cnf(45651,plain,
    n0 = 'SKOLEMAAAV28',
    inference('HYPERRESOLVE',[status(thm)],[300,413,259]) ).

cnf(45654,plain,
    $false,
    inference('REWRITE',[status(thm)],[417,3,45651,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 01:12:14 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T01:12:14
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-16T01:12:14
% 0.38/0.53  WARNING:
% 0.38/0.53     #:|true| is a proposition that occurs only positively; disabling rows that contain it.
% 126.43/126.57  
% 126.43/126.57  
% 126.43/126.57  #||
% 126.43/126.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 126.43/126.57  % SZS output start Refutation
% See solution above
% 126.43/126.57  ||#
% 126.43/126.57  
% 126.43/126.57  ; Summary of computation:
% 126.43/126.57  ;    117924 formulas have been input or derived (from 387 formulas).
% 126.43/126.57  ;     45654 (39%) were retained.  Of these,
% 126.43/126.57  ;         5672 (12%) were simplified or subsumed later,
% 126.43/126.57  ;        39982 (88%) are still being kept.
% 126.43/126.57  ; 
% 126.43/126.57  ; Run time in seconds excluding printing time:
% 126.43/126.57  ;     0.024   0%   Read assertion file          (1 call)
% 126.43/126.57  ;     0.011   0%   Assert                       (100 calls)
% 126.43/126.57  ;     4.354   3%   Process new row              (102,313 calls)
% 126.43/126.57  ;   108.695  86%   Resolution                   (772 calls)
% 126.43/126.57  ;     0.077   0%   Paramodulation               (386 calls)
% 126.43/126.57  ;     0.000   0%   Factoring                    (1 call)
% 126.43/126.57  ;     0.358   0%   Condensing                   (25,466 calls)
% 126.43/126.57  ;     3.997   3%   Forward subsumption          (25,466 calls)
% 126.43/126.57  ;     1.063   1%   Backward subsumption         (13,453 calls)
% 126.43/126.57  ;     0.186   0%   Clause clause subsumption    (27,834 calls)
% 126.43/126.57  ;     2.727   2%   Forward simplification       (102,312 calls)
% 126.43/126.57  ;     4.106   3%   Backward simplification      (45,650 calls)
% 126.43/126.57  ;     0.140   0%   Ordering                     (127,607 calls)
% 126.43/126.57  ;     0.000   0%   Sortal reasoning             (32 calls)
% 126.43/126.57  ;     0.002   0%   Purity testing               (1 call)
% 126.43/126.57  ;     0.352   0%   Other
% 126.43/126.57  ;   126.092        Total
% 126.43/126.57  ;   126.085        Real time
% 126.43/126.57  ; 
% 126.43/126.57  ; Term-hash-array has 72,108 terms in all.
% 126.43/126.57  ; Feature-vector-row-index has 12,615 entries (13,453 at peak, 13,453 added, 838 deleted).
% 126.43/126.57  ; Feature-vector-row-index has 35,397 nodes (38,456 at peak, 38,456 added, 3,059 deleted).
% 126.43/126.57  ;  Retrieved 78,395 possibly forward subsuming rows in 25,466 calls.
% 126.43/126.57  ;  Retrieved 21,658 possibly backward subsumed rows in 13,453 calls.
% 126.43/126.57  ; Path-index has 60,606 entries (72,109 at peak, 72,150 added, 11,544 deleted).
% 126.43/126.57  ; Path-index has 4,543 nodes (5,120 at peak, 5,346 added, 803 deleted).
% 126.43/126.57  ; Trie-index has 60,606 entries (72,109 at peak, 72,150 added, 11,544 deleted).
% 126.43/126.57  ; Trie-index has 119,223 nodes (149,723 at peak, 150,227 added, 31,004 deleted).
% 126.43/126.57  ; Retrieved 185,525 generalization terms in 303,921 calls.
% 126.43/126.57  ; Retrieved 64,705 instance terms in 32,196 calls.
% 126.43/126.57  ; Retrieved 162,417,851 unifiable terms in 309,228 calls.
% 126.43/126.57  ; 
% 126.43/126.57  ; The agenda of backward simplifiable rows to process has 5497 entries:
% 126.43/126.57  ;  5497 with value 0
% 126.43/126.57  ; The agenda of rows to process has 9131 entries:
% 126.43/126.57  ;    13 with value 6            8316 with value 19              44 with value 29
% 126.43/126.57  ;     4 with value 8               2 with value 21             128 with value 32
% 126.43/126.57  ;     1 with value 9              32 with value 23              32 with value 33
% 126.43/126.57  ;     1 with value 10            280 with value 24             256 with value 79
% 126.43/126.57  ;    22 with value 15
% 126.43/126.57  ; The agenda of input rows to give has 1 entry:
% 126.43/126.57  ;     1 with value 98
% 126.43/126.57  ; The agenda of rows to give has 39600 entries:
% 126.43/126.57  ;    38 with value (4 5)         160 with value (4 15)        3541 with value (4 24)
% 126.43/126.57  ;    39 with value (4 6)           4 with value (4 17)           8 with value (4 28)
% 126.43/126.57  ;    41 with value (4 7)          37 with value (4 18)        1596 with value (4 29)
% 126.43/126.57  ;    26 with value (4 8)       26860 with value (4 19)          33 with value (4 31)
% 126.43/126.57  ;    30 with value (4 9)           5 with value (4 20)        2024 with value (4 32)
% 126.43/126.57  ;    13 with value (4 11)         44 with value (4 21)         360 with value (4 33)
% 126.43/126.57  ;    76 with value (4 13)          8 with value (4 22)          64 with value (4 78)
% 126.43/126.57  ;     8 with value (4 14)        553 with value (4 23)        4032 with value (4 79)
% 126.43/126.57  Evaluation took:
% 126.43/126.57    126.091 seconds of real time
% 126.43/126.57    124.73855 seconds of user run time
% 126.43/126.57    1.360169 seconds of system run time
% 126.43/126.57    [Run times include 4.968 seconds GC run time.]
% 126.43/126.57    0 calls to %EVAL
% 126.43/126.57    0 page faults and
% 126.43/126.57    2,917,232,848 bytes consed.
% 126.43/126.57  :PROOF-FOUND
% 126.43/126.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T01:14:20
% 126.43/126.57  :PROOF-FOUND
% 126.43/126.57  * 
%------------------------------------------------------------------------------