TSTP Solution File: SWC017+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC017+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 21:56:24 EDT 2022

% Result   : Theorem 0.78s 0.98s
% 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(118,axiom,
    ( ~ ssList(X)
    | frontsegP(X,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).

cnf(124,axiom,
    ( ~ ssList(X)
    | ~ frontsegP(nil,X)
    | nil = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).

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)
    | ~ frontsegP('SKOLEMAAAV49',X)
    | ~ frontsegP('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'
    | frontsegP('SKOLEMAAAV51','SKOLEMAAAV50') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

cnf(211,plain,
    frontsegP('SKOLEMAAAV48','SKOLEMAAAV48'),
    inference('HYPERRESOLVE',[status(thm)],[118,188]) ).

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

cnf(608,plain,
    nil = 'SKOLEMAAAV49',
    inference('HYPERRESOLVE',[status(thm)],[195,211,188,199,201]) ).

cnf(610,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[196,360,608,theory(equality)]) ).

cnf(626,plain,
    frontsegP(nil,'SKOLEMAAAV48'),
    inference('REWRITE',[status(thm)],[205,610,608,theory(equality)]) ).

cnf(642,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[124,610,188]),626]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC017+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n005.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 06:46:09 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T06:46:09
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-12T06:46:09
% 0.78/0.98  
% 0.78/0.98  
% 0.78/0.98  #||
% 0.78/0.98  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.98  % SZS output start Refutation
% See solution above
% 0.78/0.98  ||#
% 0.78/0.98  
% 0.78/0.98  ; Summary of computation:
% 0.78/0.98  ;      1384 formulas have been input or derived (from 208 formulas).
% 0.78/0.98  ;       642 (46%) were retained.  Of these,
% 0.78/0.98  ;          254 (40%) were simplified or subsumed later,
% 0.78/0.98  ;          388 (60%) are still being kept.
% 0.78/0.98  ; 
% 0.78/0.98  ; Run time in seconds excluding printing time:
% 0.78/0.98  ;     0.027   5%   Read assertion file          (1 call)
% 0.78/0.98  ;     0.007   1%   Assert                       (96 calls)
% 0.78/0.98  ;     0.040   8%   Process new row              (1,285 calls)
% 0.78/0.98  ;     0.324  66%   Resolution                   (414 calls)
% 0.78/0.98  ;     0.001   0%   Paramodulation               (207 calls)
% 0.78/0.98  ;     0.000   0%   Factoring                    (5 calls)
% 0.78/0.98  ;     0.005   1%   Condensing                   (324 calls)
% 0.78/0.98  ;     0.005   1%   Forward subsumption          (324 calls)
% 0.78/0.98  ;     0.006   1%   Backward subsumption         (317 calls)
% 0.78/0.98  ;     0.001   0%   Clause clause subsumption    (84 calls)
% 0.78/0.98  ;     0.022   4%   Forward simplification       (1,280 calls)
% 0.78/0.98  ;     0.022   4%   Backward simplification      (638 calls)
% 0.78/0.98  ;     0.000   0%   Ordering                     (421 calls)
% 0.78/0.98  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.78/0.98  ;     0.001   0%   Purity testing               (1 call)
% 0.78/0.98  ;     0.031   6%   Other
% 0.78/0.98  ;     0.492        Total
% 0.78/0.98  ;     0.494        Real time
% 0.78/0.98  ; 
% 0.78/0.98  ; Term-hash-array has 1,110 terms in all.
% 0.78/0.98  ; Feature-vector-row-index has 219 entries (317 at peak, 317 added, 98 deleted).
% 0.78/0.98  ; Feature-vector-row-index has 828 nodes (1,294 at peak, 1,294 added, 466 deleted).
% 0.78/0.98  ;  Retrieved 162 possibly forward subsuming rows in 324 calls.
% 0.78/0.98  ;  Retrieved 99 possibly backward subsumed rows in 317 calls.
% 0.78/0.98  ; Path-index has 684 entries (1,064 at peak, 1,145 added, 461 deleted).
% 0.78/0.98  ; Path-index has 1,420 nodes (1,684 at peak, 1,745 added, 325 deleted).
% 0.78/0.98  ; Trie-index has 684 entries (1,064 at peak, 1,145 added, 461 deleted).
% 0.78/0.98  ; Trie-index has 2,017 nodes (3,082 at peak, 3,228 added, 1,211 deleted).
% 0.78/0.98  ; Retrieved 1,159 generalization terms in 4,284 calls.
% 0.78/0.98  ; Retrieved 323 instance terms in 320 calls.
% 0.78/0.98  ; Retrieved 735,391 unifiable terms in 21,428 calls.
% 0.78/0.98  ; 
% 0.78/0.98  ; The agenda of rows to process has 35 entries:
% 0.78/0.98  ;     1 with value 5               6 with value 8                4 with value 11
% 0.78/0.98  ;     6 with value 6              16 with value 10               2 with value 13
% 0.78/0.98  ; The agenda of input rows to give has 2 entries:
% 0.78/0.98  ;     2 with value 4
% 0.78/0.98  ; The agenda of rows to give has 189 entries:
% 0.78/0.98  ;    23 with value (4 5)          16 with value (4 11)           4 with value (4 17)
% 0.78/0.98  ;     5 with value (4 6)           6 with value (4 12)           8 with value (4 18)
% 0.78/0.98  ;    18 with value (4 7)          19 with value (4 13)           4 with value (4 19)
% 0.78/0.98  ;    11 with value (4 8)           4 with value (4 14)           4 with value (4 21)
% 0.78/0.98  ;    37 with value (4 9)           8 with value (4 15)           1 with value (4 22)
% 0.78/0.98  ;     9 with value (4 10)          6 with value (4 16)           6 with value (4 25)
% 0.78/0.98  Evaluation took:
% 0.78/0.98    0.494 seconds of real time
% 0.78/0.98    0.466776 seconds of user run time
% 0.78/0.98    0.027658 seconds of system run time
% 0.78/0.98    [Run times include 0.025 seconds GC run time.]
% 0.78/0.98    0 calls to %EVAL
% 0.78/0.98    0 page faults and
% 0.78/0.98    40,728,704 bytes consed.
% 0.78/0.98  :PROOF-FOUND
% 0.78/0.98  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T06:46:09
% 0.78/0.98  :PROOF-FOUND
% 0.78/0.98  * 
%------------------------------------------------------------------------------