TSTP Solution File: SWC408+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 21:58:42 EDT 2022

% Result   : Theorem 0.48s 0.64s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   10 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   4 equ;   5 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(109,axiom,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | memberP(app(Y,Z),X)
    | ~ memberP(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

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

cnf(192,negated_conjecture,
    app('SKOLEMAAAV51','SKOLEMAAAV51') = 'SKOLEMAAAV50',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAV49' = 'SKOLEMAAAV51',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

cnf(195,negated_conjecture,
    ssItem('SKOLEMAAAV52'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    memberP('SKOLEMAAAV49','SKOLEMAAAV52'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(197,negated_conjecture,
    ~ memberP('SKOLEMAAAV48','SKOLEMAAAV52'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    app('SKOLEMAAAV49','SKOLEMAAAV49') = 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[192,194,193,theory(equality)]) ).

cnf(458,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[109,195,189,189,196]),197,198,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n020.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 : Sun Jun 12 15:52:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T15:52:20
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-12T15:52:20
% 0.48/0.64  
% 0.48/0.64  
% 0.48/0.64  #||
% 0.48/0.64  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.64  % SZS output start Refutation
% See solution above
% 0.48/0.64  ||#
% 0.48/0.64  
% 0.48/0.64  ; Summary of computation:
% 0.48/0.64  ;       665 formulas have been input or derived (from 145 formulas).
% 0.48/0.64  ;       458 (69%) were retained.  Of these,
% 0.48/0.64  ;           33 ( 7%) were simplified or subsumed later,
% 0.48/0.64  ;          425 (93%) are still being kept.
% 0.48/0.64  ; 
% 0.48/0.64  ; Run time in seconds:
% 0.48/0.64  ;     0.026  17%   Read assertion file          (1 call)
% 0.48/0.64  ;     0.008   5%   Assert                       (96 calls)
% 0.48/0.64  ;     0.034  23%   Process new row              (653 calls)
% 0.48/0.64  ;     0.025  17%   Resolution                   (288 calls)
% 0.48/0.65  ;     0.002   1%   Paramodulation               (144 calls)
% 0.48/0.65  ;     0.004   3%   Condensing                   (284 calls)
% 0.48/0.65  ;     0.007   5%   Forward subsumption          (284 calls)
% 0.48/0.65  ;     0.004   3%   Backward subsumption         (282 calls)
% 0.48/0.65  ;     0.000   0%   Clause clause subsumption    (75 calls)
% 0.48/0.65  ;     0.005   3%   Forward simplification       (653 calls)
% 0.48/0.65  ;     0.003   2%   Backward simplification      (458 calls)
% 0.48/0.65  ;     0.001   1%   Ordering                     (234 calls)
% 0.48/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.48/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.65  ;     0.031  21%   Other
% 0.48/0.65  ;     0.151        Total
% 0.48/0.65  ;     0.152        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 758 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 282 entries (282 at peak, 282 added, 0 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 872 nodes (872 at peak, 872 added, 0 deleted).
% 0.48/0.65  ;  Retrieved 130 possibly forward subsuming rows in 284 calls.
% 0.48/0.65  ;  Retrieved 96 possibly backward subsumed rows in 282 calls.
% 0.48/0.65  ; Path-index has 720 entries (720 at peak, 766 added, 46 deleted).
% 0.48/0.65  ; Path-index has 1,317 nodes (1,322 at peak, 1,334 added, 17 deleted).
% 0.48/0.65  ; Trie-index has 720 entries (720 at peak, 766 added, 46 deleted).
% 0.48/0.65  ; Trie-index has 1,529 nodes (1,529 at peak, 1,593 added, 64 deleted).
% 0.48/0.65  ; Retrieved 200 generalization terms in 1,175 calls.
% 0.48/0.65  ; Retrieved 175 instance terms in 175 calls.
% 0.48/0.65  ; Retrieved 61,092 unifiable terms in 2,782 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of rows to process has 5 entries:
% 0.48/0.65  ;     5 with value 8
% 0.48/0.65  ; The agenda of input rows to give has 51 entries:
% 0.48/0.65  ;     6 with value 20              8 with value 25               1 with value 32
% 0.48/0.65  ;     9 with value 21              3 with value 26               1 with value 35
% 0.48/0.65  ;     5 with value 22              6 with value 27               3 with value 40
% 0.48/0.65  ;     2 with value 23              1 with value 29               3 with value 44
% 0.48/0.65  ;     3 with value 24
% 0.48/0.65  ; The agenda of rows to give has 229 entries:
% 0.48/0.65  ;    40 with value (4 5)          79 with value (4 9)            6 with value (4 12)
% 0.48/0.65  ;    29 with value (4 7)          24 with value (4 10)          21 with value (4 13)
% 0.48/0.65  ;     8 with value (4 8)          18 with value (4 11)           4 with value (4 15)
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.152 seconds of real time
% 0.48/0.65    0.141075 seconds of user run time
% 0.48/0.65    0.010973 seconds of system run time
% 0.48/0.65    0 calls to %EVAL
% 0.48/0.65    0 page faults and
% 0.48/0.65    9,163,392 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T15:52:20
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------