TSTP Solution File: SWV409+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV409+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 21:33:12 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (   8 unt;   3 nHn;  14 RR)
%            Number of literals    :   31 (   0 equ;  14 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( less_than(X,Y)
    | less_than(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',totality) ).

cnf(6,axiom,
    ( strictly_less_than(X,Y)
    | ~ less_than(X,Y)
    | less_than(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).

cnf(26,axiom,
    ( ~ contains_slb(X,Y)
    | pair_in_list(X,Y,'SKOLEMAAAU1'(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_li4647) ).

cnf(27,axiom,
    ( ~ pair_in_list(X,Y,Z)
    | ~ strictly_less_than(Y,U)
    | ~ strictly_less_than(Z,U)
    | pair_in_list(update_slb(X,U),Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_l48) ).

cnf(28,axiom,
    ( ~ pair_in_list(X,Y,Z)
    | ~ strictly_less_than(Y,U)
    | ~ less_than(U,Z)
    | pair_in_list(update_slb(X,U),Y,'SKOLEMAAAU2'(X,U,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_l49) ).

cnf(29,axiom,
    ( ~ pair_in_list(X,Y,Z)
    | ~ strictly_less_than(Y,U)
    | ~ less_than(U,Z)
    | less_than(U,'SKOLEMAAAU2'(X,U,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_l49) ).

cnf(30,negated_conjecture,
    contains_slb('SKOLEMAAAU3','SKOLEMAAAU4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_co) ).

cnf(31,negated_conjecture,
    strictly_less_than('SKOLEMAAAU4','SKOLEMAAAU5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_co) ).

cnf(32,negated_conjecture,
    ~ pair_in_list(update_slb('SKOLEMAAAU3','SKOLEMAAAU5'),'SKOLEMAAAU4','SKOLEMAAAU5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_co) ).

cnf(33,negated_conjecture,
    ( ~ pair_in_list(update_slb('SKOLEMAAAU3','SKOLEMAAAU5'),'SKOLEMAAAU4',X)
    | ~ less_than('SKOLEMAAAU5',X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_co) ).

cnf(39,plain,
    ( less_than(X,Y)
    | strictly_less_than(Y,X) ),
    inference('HYPERRESOLVE',[status(thm)],[6,2]) ).

cnf(40,plain,
    pair_in_list('SKOLEMAAAU3','SKOLEMAAAU4','SKOLEMAAAU1'('SKOLEMAAAU3','SKOLEMAAAU4')),
    inference('HYPERRESOLVE',[status(thm)],[26,30]) ).

cnf(62,plain,
    less_than('SKOLEMAAAU5','SKOLEMAAAU1'('SKOLEMAAAU3','SKOLEMAAAU4')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,40,31,39]),32]) ).

cnf(74,plain,
    less_than('SKOLEMAAAU5','SKOLEMAAAU2'('SKOLEMAAAU3','SKOLEMAAAU5','SKOLEMAAAU4')),
    inference('HYPERRESOLVE',[status(thm)],[29,62,40,31]) ).

cnf(77,plain,
    pair_in_list(update_slb('SKOLEMAAAU3','SKOLEMAAAU5'),'SKOLEMAAAU4','SKOLEMAAAU2'('SKOLEMAAAU3','SKOLEMAAAU5','SKOLEMAAAU4')),
    inference('HYPERRESOLVE',[status(thm)],[28,62,40,31]) ).

cnf(98,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[33,74]),77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV409+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n007.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 : Tue Jun 14 16:55:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-14T16:55:10
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-14T16:55:10
% 0.18/0.53  
% 0.18/0.53  
% 0.18/0.53  #||
% 0.18/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53  % SZS output start Refutation
% See solution above
% 0.18/0.53  ||#
% 0.18/0.53  
% 0.18/0.53  ; Summary of computation:
% 0.18/0.53  ;       464 formulas have been input or derived (from 54 formulas).
% 0.18/0.53  ;        98 (21%) were retained.  Of these,
% 0.18/0.53  ;            5 ( 5%) were simplified or subsumed later,
% 0.18/0.53  ;           93 (95%) are still being kept.
% 0.18/0.53  ; 
% 0.18/0.53  ; Run time in seconds excluding printing time:
% 0.18/0.53  ;     0.006   9%   Read assertion file          (1 call)
% 0.18/0.53  ;     0.002   3%   Assert                       (22 calls)
% 0.18/0.53  ;     0.009  14%   Process new row              (400 calls)
% 0.18/0.53  ;     0.007  11%   Resolution                   (106 calls)
% 0.18/0.53  ;     0.001   2%   Paramodulation               (53 calls)
% 0.18/0.53  ;     0.000   0%   Factoring                    (3 calls)
% 0.18/0.53  ;     0.002   3%   Condensing                   (68 calls)
% 0.18/0.53  ;     0.001   2%   Forward subsumption          (68 calls)
% 0.18/0.53  ;     0.000   0%   Backward subsumption         (43 calls)
% 0.18/0.53  ;     0.002   3%   Clause clause subsumption    (54 calls)
% 0.18/0.53  ;     0.012  18%   Forward simplification       (397 calls)
% 0.18/0.53  ;     0.001   2%   Backward simplification      (98 calls)
% 0.18/0.53  ;     0.000   0%   Ordering                     (136 calls)
% 0.18/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.53  ;     0.023  35%   Other
% 0.18/0.53  ;     0.066        Total
% 0.18/0.53  ;     0.069        Real time
% 0.18/0.53  ; 
% 0.18/0.53  ; Term-hash-array has 195 terms in all.
% 0.18/0.53  ; Feature-vector-row-index has 38 entries (38 at peak, 43 added, 5 deleted).
% 0.18/0.53  ; Feature-vector-row-index has 227 nodes (227 at peak, 276 added, 49 deleted).
% 0.18/0.53  ;  Retrieved 73 possibly forward subsuming rows in 68 calls.
% 0.18/0.53  ;  Retrieved 8 possibly backward subsumed rows in 43 calls.
% 0.18/0.53  ; Path-index has 199 entries (199 at peak, 204 added, 5 deleted).
% 0.18/0.53  ; Path-index has 486 nodes (486 at peak, 496 added, 10 deleted).
% 0.18/0.53  ; Trie-index has 199 entries (199 at peak, 204 added, 5 deleted).
% 0.18/0.53  ; Trie-index has 616 nodes (616 at peak, 640 added, 24 deleted).
% 0.18/0.53  ; Retrieved 931 generalization terms in 1,017 calls.
% 0.18/0.53  ; Retrieved 70 instance terms in 54 calls.
% 0.18/0.53  ; Retrieved 2,170 unifiable terms in 516 calls.
% 0.18/0.53  ; 
% 0.18/0.53  ; The agenda of rows to process has 7 entries:
% 0.18/0.53  ;     6 with value 16              1 with value 30
% 0.18/0.53  ; The agenda of rows to give has 40 entries:
% 0.18/0.53  ;     3 with value (4 11)          1 with value (4 18)           1 with value (4 26)
% 0.18/0.53  ;     5 with value (4 12)          6 with value (4 20)           1 with value (4 27)
% 0.18/0.53  ;     2 with value (4 13)          3 with value (4 21)           2 with value (4 28)
% 0.18/0.53  ;     3 with value (4 14)          1 with value (4 23)           1 with value (4 30)
% 0.18/0.53  ;     3 with value (4 15)          4 with value (4 24)           1 with value (4 34)
% 0.18/0.53  ;     2 with value (4 17)          1 with value (4 25)
% 0.18/0.53  Evaluation took:
% 0.18/0.53    0.069 seconds of real time
% 0.18/0.53    0.060139 seconds of user run time
% 0.18/0.53    0.009211 seconds of system run time
% 0.18/0.53    0 calls to %EVAL
% 0.18/0.53    0 page faults and
% 0.18/0.53    4,368,328 bytes consed.
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T16:55:10
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  * 
%------------------------------------------------------------------------------