TSTP Solution File: SWC415+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC415+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:58:44 EDT 2022

% Result   : Theorem 3.44s 3.67s
% Output   : Refutation 3.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   21 (  11 unt;   3 nHn;  21 RR)
%            Number of literals    :   48 (  20 equ;  30 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   11 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(81,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ neq(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

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(94,axiom,
    ( ~ ssList(X)
    | nil = X
    | ssList(tl(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

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

cnf(189,negated_conjecture,
    ssList('SKOLEMAAAV49'),
    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,
    ( ~ ssList(X)
    | 'SKOLEMAAAV50' = X
    | tl('SKOLEMAAAV51') != X
    | ~ neq(nil,'SKOLEMAAAV51')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ( ~ ssList(X)
    | 'SKOLEMAAAV48' = X
    | tl('SKOLEMAAAV49') != X
    | ~ neq(nil,'SKOLEMAAAV49') ),
    inference('REWRITE',[status(thm)],[195,194,192,193,theory(equality)]) ).

cnf(197,negated_conjecture,
    ( ~ ssList(X)
    | tl('SKOLEMAAAV49') != X
    | 'SKOLEMAAAV48' != X
    | ~ neq(nil,'SKOLEMAAAV49')
    | ~ neq('SKOLEMAAAV51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(198,plain,
    ( ~ ssList(X)
    | tl('SKOLEMAAAV49') != X
    | 'SKOLEMAAAV48' != X
    | ~ neq(nil,'SKOLEMAAAV49') ),
    inference('REWRITE',[status(thm)],[197,194,192,theory(equality)]) ).

cnf(321,plain,
    ( nil = 'SKOLEMAAAV49'
    | ssList(tl('SKOLEMAAAV49')) ),
    inference('HYPERRESOLVE',[status(thm)],[94,189]) ).

cnf(352,plain,
    nil != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(356,plain,
    ssList(tl('SKOLEMAAAV49')),
    inference('REWRITE',[status(thm)],[321,352]) ).

cnf(364,plain,
    neq(nil,'SKOLEMAAAV49'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[82,84,189]),352]) ).

cnf(365,plain,
    ( ~ ssList(X)
    | 'SKOLEMAAAV48' = X
    | tl('SKOLEMAAAV49') != X ),
    inference('REWRITE',[status(thm)],[196,364]) ).

cnf(366,plain,
    ( ~ ssList(X)
    | tl('SKOLEMAAAV49') != X
    | 'SKOLEMAAAV48' != X ),
    inference('REWRITE',[status(thm)],[198,364]) ).

cnf(368,plain,
    tl('SKOLEMAAAV49') != 'SKOLEMAAAV48',
    inference('UR-RESOLVE',[status(thm)],[366,188,theory(equality)]) ).

cnf(1571,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[365,356,theory(equality)]),368]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC415+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 05:11:25 EDT 2022
% 0.13/0.34  % 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 2022-06-12T05:11:26
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-12T05:11:26
% 3.44/3.67  
% 3.44/3.67  
% 3.44/3.67  #||
% 3.44/3.67  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/3.67  % SZS output start Refutation
% See solution above
% 3.44/3.68  ||#
% 3.44/3.68  
% 3.44/3.68  ; Summary of computation:
% 3.44/3.68  ;      4541 formulas have been input or derived (from 233 formulas).
% 3.44/3.68  ;      1571 (35%) were retained.  Of these,
% 3.44/3.68  ;          444 (28%) were simplified or subsumed later,
% 3.44/3.68  ;         1127 (72%) are still being kept.
% 3.44/3.68  ; 
% 3.44/3.68  ; Run time in seconds excluding printing time:
% 3.44/3.68  ;     0.026   1%   Read assertion file          (1 call)
% 3.44/3.68  ;     0.009   0%   Assert                       (96 calls)
% 3.44/3.68  ;     0.075   2%   Process new row              (3,286 calls)
% 3.44/3.68  ;     2.951  92%   Resolution                   (464 calls)
% 3.44/3.68  ;     0.002   0%   Paramodulation               (232 calls)
% 3.44/3.68  ;     0.006   0%   Condensing                   (438 calls)
% 3.44/3.68  ;     0.006   0%   Forward subsumption          (438 calls)
% 3.44/3.68  ;     0.005   0%   Backward subsumption         (436 calls)
% 3.44/3.68  ;     0.000   0%   Clause clause subsumption    (97 calls)
% 3.44/3.68  ;     0.045   1%   Forward simplification       (3,193 calls)
% 3.44/3.68  ;     0.027   1%   Backward simplification      (1,569 calls)
% 3.44/3.68  ;     0.003   0%   Ordering                     (681 calls)
% 3.44/3.68  ;     0.001   0%   Sortal reasoning             (32 calls)
% 3.44/3.68  ;     0.001   0%   Purity testing               (1 call)
% 3.44/3.68  ;     0.039   1%   Other
% 3.44/3.68  ;     3.196        Total
% 3.44/3.68  ;     3.198        Real time
% 3.44/3.68  ; 
% 3.44/3.68  ; Term-hash-array has 2,788 terms in all.
% 3.44/3.68  ; Feature-vector-row-index has 359 entries (359 at peak, 436 added, 77 deleted).
% 3.44/3.68  ; Feature-vector-row-index has 1,527 nodes (1,575 at peak, 1,995 added, 468 deleted).
% 3.44/3.68  ;  Retrieved 159 possibly forward subsuming rows in 438 calls.
% 3.44/3.68  ;  Retrieved 117 possibly backward subsumed rows in 436 calls.
% 3.44/3.68  ; Path-index has 2,051 entries (2,051 at peak, 2,810 added, 759 deleted).
% 3.44/3.68  ; Path-index has 2,872 nodes (2,872 at peak, 3,218 added, 346 deleted).
% 3.44/3.68  ; Trie-index has 2,051 entries (2,051 at peak, 2,810 added, 759 deleted).
% 3.44/3.68  ; Trie-index has 6,622 nodes (6,622 at peak, 9,069 added, 2,447 deleted).
% 3.44/3.68  ; Retrieved 3,336 generalization terms in 13,506 calls.
% 3.44/3.68  ; Retrieved 1,154 instance terms in 1,132 calls.
% 3.44/3.68  ; Retrieved 8,256,360 unifiable terms in 187,696 calls.
% 3.44/3.68  ; 
% 3.44/3.68  ; The agenda of rows to process has 983 entries:
% 3.44/3.68  ;     8 with value 8              40 with value 15             152 with value 21
% 3.44/3.68  ;    22 with value 9              11 with value 16              40 with value 22
% 3.44/3.68  ;    16 with value 10             10 with value 17              22 with value 23
% 3.44/3.68  ;    36 with value 11            153 with value 18               1 with value 25
% 3.44/3.68  ;     8 with value 12            202 with value 19               1 with value 31
% 3.44/3.68  ;    70 with value 13             96 with value 20               6 with value 35
% 3.44/3.68  ;    89 with value 14
% 3.44/3.68  ; The agenda of rows to give has 895 entries:
% 3.44/3.68  ;     3 with value (4 6)          71 with value (4 14)          34 with value (4 22)
% 3.44/3.68  ;    21 with value (4 7)          63 with value (4 15)          47 with value (4 23)
% 3.44/3.68  ;    42 with value (4 8)          36 with value (4 16)          17 with value (4 24)
% 3.44/3.68  ;   121 with value (4 9)          63 with value (4 17)          38 with value (4 25)
% 3.44/3.68  ;    37 with value (4 10)         32 with value (4 18)           1 with value (4 26)
% 3.52/3.68  ;    45 with value (4 11)         38 with value (4 19)           1 with value (4 31)
% 3.52/3.68  ;    42 with value (4 12)         20 with value (4 20)           6 with value (4 35)
% 3.52/3.68  ;    65 with value (4 13)         52 with value (4 21)
% 3.52/3.68  Evaluation took:
% 3.52/3.68    3.198 seconds of real time
% 3.52/3.68    3.121529 seconds of user run time
% 3.52/3.68    0.077082 seconds of system run time
% 3.52/3.68    [Run times include 0.172 seconds GC run time.]
% 3.52/3.68    0 calls to %EVAL
% 3.52/3.68    0 page faults and
% 3.52/3.68    405,973,592 bytes consed.
% 3.52/3.68  :PROOF-FOUND
% 3.52/3.68  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T05:11:29
% 3.52/3.68  :PROOF-FOUND
% 3.52/3.68  * 
%------------------------------------------------------------------------------