TSTP Solution File: SWC007+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC007+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 : Tue Jul 19 21:56:20 EDT 2022

% Result   : Theorem 3.03s 3.23s
% Output   : Refutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;  13 RR)
%            Number of literals    :   23 (  12 equ;  12 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(84,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

cnf(98,axiom,
    ( ~ ssList(X)
    | app(nil,X) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

cnf(175,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    nil = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,plain,
    'SKOLEMAAAV48' = nil,
    inference('REWRITE',[status(thm)],[194,192,theory(equality)]) ).

cnf(196,negated_conjecture,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) != 'SKOLEMAAAV49'
    | app(X,Z) != 'SKOLEMAAAV48' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) != 'SKOLEMAAAV49'
    | app(X,Z) != nil ),
    inference('REWRITE',[status(thm)],[196,195,theory(equality)]) ).

cnf(229,plain,
    app(nil,'SKOLEMAAAV49') = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[98,189]) ).

cnf(230,plain,
    app(nil,nil) = nil,
    inference('HYPERRESOLVE',[status(thm)],[98,84]) ).

cnf(231,plain,
    app('SKOLEMAAAV49',nil) = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[175,189]) ).

cnf(2240,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[197,230,84,189,84]),231,229,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC007+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n008.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
% 0.14/0.36  % DateTime : Sat Jun 11 23:12:22 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:12:22
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-11T23:12:22
% 3.03/3.23  
% 3.03/3.23  
% 3.03/3.23  #||
% 3.03/3.23  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.03/3.23  % SZS output start Refutation
% See solution above
% 3.03/3.23  ||#
% 3.03/3.23  
% 3.03/3.23  ; Summary of computation:
% 3.03/3.23  ;      7180 formulas have been input or derived (from 237 formulas).
% 3.03/3.23  ;      2240 (31%) were retained.  Of these,
% 3.03/3.23  ;          587 (26%) were simplified or subsumed later,
% 3.03/3.23  ;         1653 (74%) are still being kept.
% 3.03/3.23  ; 
% 3.03/3.23  ; Run time in seconds excluding printing time:
% 3.03/3.23  ;     0.026   1%   Read assertion file          (1 call)
% 3.03/3.23  ;     0.007   0%   Assert                       (96 calls)
% 3.03/3.23  ;     0.147   5%   Process new row              (6,961 calls)
% 3.03/3.23  ;     2.248  82%   Resolution                   (472 calls)
% 3.03/3.23  ;     0.004   0%   Paramodulation               (236 calls)
% 3.03/3.23  ;     0.007   0%   Condensing                   (328 calls)
% 3.03/3.23  ;     0.007   0%   Forward subsumption          (328 calls)
% 3.03/3.23  ;     0.005   0%   Backward subsumption         (322 calls)
% 3.03/3.23  ;     0.001   0%   Clause clause subsumption    (136 calls)
% 3.03/3.23  ;     0.155   6%   Forward simplification       (6,961 calls)
% 3.03/3.23  ;     0.077   3%   Backward simplification      (2,238 calls)
% 3.03/3.23  ;     0.001   0%   Ordering                     (476 calls)
% 3.03/3.23  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.03/3.23  ;     0.001   0%   Purity testing               (1 call)
% 3.03/3.23  ;     0.042   2%   Other
% 3.03/3.23  ;     2.728        Total
% 3.03/3.23  ;     2.730        Real time
% 3.03/3.23  ; 
% 3.03/3.23  ; Term-hash-array has 3,261 terms in all.
% 3.03/3.23  ; Feature-vector-row-index has 322 entries (322 at peak, 322 added, 0 deleted).
% 3.03/3.23  ; Feature-vector-row-index has 1,416 nodes (1,416 at peak, 1,416 added, 0 deleted).
% 3.03/3.23  ;  Retrieved 241 possibly forward subsuming rows in 328 calls.
% 3.03/3.23  ;  Retrieved 103 possibly backward subsumed rows in 322 calls.
% 3.03/3.23  ; Path-index has 2,513 entries (2,513 at peak, 3,288 added, 775 deleted).
% 3.03/3.23  ; Path-index has 3,095 nodes (3,095 at peak, 3,184 added, 89 deleted).
% 3.03/3.23  ; Trie-index has 2,513 entries (2,513 at peak, 3,288 added, 775 deleted).
% 3.03/3.23  ; Trie-index has 9,226 nodes (9,226 at peak, 12,032 added, 2,806 deleted).
% 3.03/3.23  ; Retrieved 12,744 generalization terms in 47,621 calls.
% 3.03/3.23  ; Retrieved 1,943 instance terms in 1,915 calls.
% 3.03/3.23  ; Retrieved 5,118,325 unifiable terms in 166,118 calls.
% 3.03/3.23  ; 
% 3.03/3.23  ; The agenda of rows to process has 15 entries:
% 3.03/3.23  ;     1 with value 12              2 with value 19               1 with value 23
% 3.03/3.23  ;     3 with value 15              4 with value 22               3 with value 25
% 3.03/3.23  ;     1 with value 16
% 3.03/3.23  ; The agenda of rows to give has 1416 entries:
% 3.03/3.23  ;    19 with value (4 8)          36 with value (4 17)          93 with value (4 25)
% 3.03/3.23  ;    54 with value (4 9)          34 with value (4 18)         168 with value (4 26)
% 3.03/3.23  ;    19 with value (4 10)         64 with value (4 19)          18 with value (4 27)
% 3.03/3.23  ;    31 with value (4 11)         34 with value (4 20)         162 with value (4 28)
% 3.03/3.23  ;    34 with value (4 12)         83 with value (4 21)          27 with value (4 29)
% 3.03/3.23  ;    28 with value (4 13)         43 with value (4 22)         111 with value (4 30)
% 3.03/3.23  ;    30 with value (4 14)        107 with value (4 23)           1 with value (4 37)
% 3.03/3.23  ;    10 with value (4 15)        120 with value (4 24)           6 with value (4 42)
% 3.03/3.23  ;    84 with value (4 16)
% 3.03/3.23  Evaluation took:
% 3.03/3.23    2.73 seconds of real time
% 3.03/3.23    2.650136 seconds of user run time
% 3.03/3.23    0.080129 seconds of system run time
% 3.03/3.23    [Run times include 0.148 seconds GC run time.]
% 3.03/3.23    0 calls to %EVAL
% 3.03/3.23    0 page faults and
% 3.03/3.23    292,020,664 bytes consed.
% 3.03/3.23  :PROOF-FOUND
% 3.03/3.23  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:12:25
% 3.03/3.23  :PROOF-FOUND
% 3.03/3.23  * 
%------------------------------------------------------------------------------