TSTP Solution File: SWC048+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC048+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 21:56:36 EDT 2022

% Result   : Theorem 0.78s 0.99s
% Output   : Refutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   21 (  10 unt;   6 nHn;  21 RR)
%            Number of literals    :   38 (  14 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

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

cnf(128,axiom,
    ( ~ ssList(X)
    | rearsegP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax49) ).

cnf(131,axiom,
    ( ~ ssList(X)
    | ~ rearsegP(nil,X)
    | nil = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax52) ).

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

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

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

cnf(195,negated_conjecture,
    ( nil = 'SKOLEMAAAV49'
    | ~ ssList(X)
    | ~ neq(X,nil)
    | ~ rearsegP('SKOLEMAAAV49',X)
    | ~ rearsegP('SKOLEMAAAV48',X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ( nil != 'SKOLEMAAAV48'
    | neq('SKOLEMAAAV49',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(198,negated_conjecture,
    ( nil = 'SKOLEMAAAV51'
    | neq('SKOLEMAAAV50',nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(199,plain,
    ( nil = 'SKOLEMAAAV49'
    | neq('SKOLEMAAAV48',nil) ),
    inference('REWRITE',[status(thm)],[198,193,192,theory(equality)]) ).

cnf(200,negated_conjecture,
    ( nil = 'SKOLEMAAAV51'
    | rearsegP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(201,plain,
    ( nil = 'SKOLEMAAAV49'
    | rearsegP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[200,193,192,theory(equality)]) ).

cnf(204,negated_conjecture,
    ( nil = 'SKOLEMAAAV50'
    | rearsegP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(205,plain,
    ( nil = 'SKOLEMAAAV48'
    | rearsegP('SKOLEMAAAV49','SKOLEMAAAV48') ),
    inference('REWRITE',[status(thm)],[204,192,193,theory(equality)]) ).

cnf(216,plain,
    rearsegP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[128,188]) ).

cnf(360,plain,
    ~ neq(nil,nil),
    inference('UR-RESOLVE',[status(thm)],[81,84,84,theory(equality)]) ).

cnf(630,plain,
    nil = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[195,216,188,199,201]) ).

cnf(632,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[196,360,630,theory(equality)]) ).

cnf(648,plain,
    rearsegP(nil,'SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[205,632,630,theory(equality)]) ).

cnf(657,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[131,632,188]),648]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC048+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n027.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 : Mon Jun 13 00:04:46 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-13T00:04:46
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T00:04:46
% 0.78/0.99  
% 0.78/0.99  
% 0.78/0.99  #||
% 0.78/0.99  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.99  % SZS output start Refutation
% See solution above
% 0.78/0.99  ||#
% 0.78/0.99  
% 0.78/0.99  ; Summary of computation:
% 0.78/0.99  ;      1486 formulas have been input or derived (from 213 formulas).
% 0.78/0.99  ;       657 (44%) were retained.  Of these,
% 0.78/0.99  ;          262 (40%) were simplified or subsumed later,
% 0.78/0.99  ;          395 (60%) are still being kept.
% 0.78/0.99  ; 
% 0.78/0.99  ; Run time in seconds excluding printing time:
% 0.78/0.99  ;     0.027   5%   Read assertion file          (1 call)
% 0.78/0.99  ;     0.009   2%   Assert                       (96 calls)
% 0.78/0.99  ;     0.044   9%   Process new row              (1,357 calls)
% 0.78/0.99  ;     0.337  68%   Resolution                   (424 calls)
% 0.78/0.99  ;     0.005   1%   Paramodulation               (212 calls)
% 0.78/0.99  ;     0.000   0%   Factoring                    (5 calls)
% 0.78/0.99  ;     0.003   1%   Condensing                   (320 calls)
% 0.78/0.99  ;     0.005   1%   Forward subsumption          (320 calls)
% 0.78/0.99  ;     0.008   2%   Backward subsumption         (313 calls)
% 0.78/0.99  ;     0.002   0%   Clause clause subsumption    (82 calls)
% 0.78/0.99  ;     0.019   4%   Forward simplification       (1,352 calls)
% 0.78/0.99  ;     0.010   2%   Backward simplification      (653 calls)
% 0.78/0.99  ;     0.000   0%   Ordering                     (444 calls)
% 0.78/0.99  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.78/0.99  ;     0.001   0%   Purity testing               (1 call)
% 0.78/0.99  ;     0.022   4%   Other
% 0.78/0.99  ;     0.492        Total
% 0.78/0.99  ;     0.494        Real time
% 0.78/0.99  ; 
% 0.78/0.99  ; Term-hash-array has 1,137 terms in all.
% 0.78/0.99  ; Feature-vector-row-index has 219 entries (313 at peak, 313 added, 94 deleted).
% 0.78/0.99  ; Feature-vector-row-index has 828 nodes (1,261 at peak, 1,261 added, 433 deleted).
% 0.78/0.99  ;  Retrieved 141 possibly forward subsuming rows in 320 calls.
% 0.78/0.99  ;  Retrieved 96 possibly backward subsumed rows in 313 calls.
% 0.78/0.99  ; Path-index has 697 entries (1,098 at peak, 1,172 added, 475 deleted).
% 0.78/0.99  ; Path-index has 1,438 nodes (1,712 at peak, 1,774 added, 336 deleted).
% 0.78/0.99  ; Trie-index has 697 entries (1,098 at peak, 1,172 added, 475 deleted).
% 0.78/0.99  ; Trie-index has 2,047 nodes (3,156 at peak, 3,287 added, 1,240 deleted).
% 0.78/0.99  ; Retrieved 1,223 generalization terms in 4,414 calls.
% 0.78/0.99  ; Retrieved 342 instance terms in 339 calls.
% 0.78/0.99  ; Retrieved 746,928 unifiable terms in 22,403 calls.
% 0.78/0.99  ; 
% 0.78/0.99  ; The agenda of rows to process has 37 entries:
% 0.78/0.99  ;     2 with value 5               6 with value 8                4 with value 11
% 0.78/0.99  ;     7 with value 6              16 with value 10               2 with value 13
% 0.78/0.99  ; The agenda of input rows to give has 2 entries:
% 0.78/0.99  ;     2 with value 4
% 0.78/0.99  ; The agenda of rows to give has 193 entries:
% 0.78/0.99  ;    19 with value (4 5)          16 with value (4 11)           4 with value (4 17)
% 0.78/0.99  ;     5 with value (4 6)           9 with value (4 12)           8 with value (4 18)
% 0.78/0.99  ;    18 with value (4 7)          17 with value (4 13)           4 with value (4 19)
% 0.78/0.99  ;    14 with value (4 8)           6 with value (4 14)           4 with value (4 21)
% 0.78/0.99  ;    39 with value (4 9)           8 with value (4 15)           1 with value (4 22)
% 0.78/0.99  ;     9 with value (4 10)          6 with value (4 16)           6 with value (4 25)
% 0.78/0.99  Evaluation took:
% 0.78/0.99    0.494 seconds of real time
% 0.78/0.99    0.467078 seconds of user run time
% 0.78/0.99    0.026869 seconds of system run time
% 0.78/0.99    [Run times include 0.026 seconds GC run time.]
% 0.78/0.99    0 calls to %EVAL
% 0.78/0.99    0 page faults and
% 0.78/0.99    41,329,584 bytes consed.
% 0.78/0.99  :PROOF-FOUND
% 0.78/0.99  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T00:04:47
% 0.78/0.99  :PROOF-FOUND
% 0.78/0.99  * 
%------------------------------------------------------------------------------