TSTP Solution File: SWC217+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 21:57:37 EDT 2022

% Result   : Theorem 0.43s 0.60s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   14 (  10 unt;   1 nHn;  14 RR)
%            Number of literals    :   21 (   7 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(82,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

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

cnf(85,axiom,
    ( ~ ssList(X)
    | ~ ssItem(Y)
    | cons(Y,X) != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAV48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV48' = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAV49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ~ neq('SKOLEMAAAV48',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[198,194,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV50'
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[200,194,192,193,theory(equality)]) ).

cnf(324,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[85,84,199]),201,theory(equality)]) ).

cnf(361,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[82,188,84,195]),324]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 11 23:25:49 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:25:49
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-11T23:25:49
% 0.43/0.60  
% 0.43/0.60  
% 0.43/0.60  #||
% 0.43/0.60  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.60  % SZS output start Refutation
% See solution above
% 0.43/0.60  ||#
% 0.43/0.60  
% 0.43/0.60  ; Summary of computation:
% 0.43/0.60  ;       560 formulas have been input or derived (from 108 formulas).
% 0.43/0.60  ;       361 (64%) were retained.  Of these,
% 0.43/0.60  ;           19 ( 5%) were simplified or subsumed later,
% 0.43/0.60  ;          342 (95%) are still being kept.
% 0.43/0.60  ; 
% 0.43/0.60  ; Run time in seconds excluding printing time:
% 0.43/0.60  ;     0.026  23%   Read assertion file          (1 call)
% 0.43/0.60  ;     0.009   8%   Assert                       (96 calls)
% 0.43/0.60  ;     0.029  25%   Process new row              (543 calls)
% 0.43/0.60  ;     0.010   9%   Resolution                   (214 calls)
% 0.43/0.60  ;     0.001   1%   Paramodulation               (107 calls)
% 0.43/0.60  ;     0.000   0%   Condensing                   (230 calls)
% 0.43/0.60  ;     0.008   7%   Forward subsumption          (230 calls)
% 0.43/0.60  ;     0.002   2%   Backward subsumption         (229 calls)
% 0.43/0.60  ;     0.001   1%   Clause clause subsumption    (64 calls)
% 0.43/0.60  ;     0.006   5%   Forward simplification       (543 calls)
% 0.43/0.60  ;     0.002   2%   Backward simplification      (357 calls)
% 0.43/0.60  ;     0.000   0%   Ordering                     (109 calls)
% 0.43/0.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.43/0.60  ;     0.001   1%   Purity testing               (1 call)
% 0.43/0.60  ;     0.020  17%   Other
% 0.43/0.60  ;     0.115        Total
% 0.43/0.60  ;     0.116        Real time
% 0.43/0.60  ; 
% 0.43/0.60  ; Term-hash-array has 554 terms in all.
% 0.43/0.60  ; Feature-vector-row-index has 216 entries (225 at peak, 229 added, 13 deleted).
% 0.43/0.60  ; Feature-vector-row-index has 705 nodes (734 at peak, 742 added, 37 deleted).
% 0.43/0.60  ;  Retrieved 114 possibly forward subsuming rows in 230 calls.
% 0.43/0.60  ;  Retrieved 85 possibly backward subsumed rows in 229 calls.
% 0.43/0.60  ; Path-index has 560 entries (560 at peak, 586 added, 26 deleted).
% 0.43/0.60  ; Path-index has 1,134 nodes (1,134 at peak, 1,160 added, 26 deleted).
% 0.43/0.60  ; Trie-index has 560 entries (560 at peak, 586 added, 26 deleted).
% 0.43/0.60  ; Trie-index has 1,195 nodes (1,195 at peak, 1,221 added, 26 deleted).
% 0.43/0.60  ; Retrieved 214 generalization terms in 935 calls.
% 0.43/0.60  ; Retrieved 127 instance terms in 127 calls.
% 0.43/0.60  ; Retrieved 16,283 unifiable terms in 1,102 calls.
% 0.43/0.60  ; 
% 0.43/0.60  ; The agenda of rows to process has 10 entries:
% 0.43/0.60  ;     1 with value 5               9 with value 9
% 0.43/0.60  ; The agenda of input rows to give has 91 entries:
% 0.43/0.60  ;    10 with value 14              9 with value 21               6 with value 27
% 0.43/0.60  ;     3 with value 15              5 with value 22               1 with value 29
% 0.43/0.60  ;     9 with value 16              2 with value 23               1 with value 32
% 0.43/0.60  ;     4 with value 17              3 with value 24               1 with value 35
% 0.43/0.60  ;     7 with value 18              8 with value 25               3 with value 40
% 0.43/0.60  ;     2 with value 19              3 with value 26               3 with value 44
% 0.43/0.60  ;    11 with value 20
% 0.43/0.60  ; The agenda of rows to give has 144 entries:
% 0.43/0.60  ;     7 with value (4 4)          26 with value (4 7)           38 with value (4 9)
% 0.43/0.60  ;    39 with value (4 5)          19 with value (4 8)            3 with value (4 11)
% 0.43/0.60  ;    12 with value (4 6)
% 0.43/0.60  Evaluation took:
% 0.43/0.60    0.117 seconds of real time
% 0.43/0.60    0.101755 seconds of user run time
% 0.43/0.60    0.015232 seconds of system run time
% 0.43/0.60    0 calls to %EVAL
% 0.43/0.60    0 page faults and
% 0.43/0.60    7,054,144 bytes consed.
% 0.43/0.60  :PROOF-FOUND
% 0.43/0.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T23:25:49
% 0.43/0.60  :PROOF-FOUND
% 0.43/0.60  * 
%------------------------------------------------------------------------------