TSTP Solution File: SWC207+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC207+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 21:57:33 EDT 2022

% Result   : Theorem 0.43s 0.61s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   19 (  11 unt;   5 nHn;  19 RR)
%            Number of literals    :   33 (  15 equ;  14 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   :    6 (   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(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(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,
    ~ neq('SKOLEMAAAV48',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,negated_conjecture,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV51' ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(197,plain,
    ( ssItem('SKOLEMAAAV52')
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[196,192,theory(equality)]) ).

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

cnf(201,plain,
    ( cons('SKOLEMAAAV52',nil) = 'SKOLEMAAAV48'
    | nil = 'SKOLEMAAAV49' ),
    inference('REWRITE',[status(thm)],[200,192,193,theory(equality)]) ).

cnf(380,plain,
    ( nil = 'SKOLEMAAAV49'
    | ~ ssItem('SKOLEMAAAV52')
    | nil != 'SKOLEMAAAV48' ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,201,theory(equality)]),84]) ).

cnf(398,plain,
    nil != 'SKOLEMAAAV49',
    inference('UR-RESOLVE',[status(thm)],[81,189,84,194]) ).

cnf(399,plain,
    ssItem('SKOLEMAAAV52'),
    inference('REWRITE',[status(thm)],[197,398]) ).

cnf(427,plain,
    nil != 'SKOLEMAAAV48',
    inference('REWRITE',[status(thm)],[380,399,398]) ).

cnf(447,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[82,188,84,195]),427]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC207+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n007.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 : Sat Jun 11 22:40:22 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/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  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T22:40:23
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-11T22:40:23
% 0.43/0.61  
% 0.43/0.61  
% 0.43/0.61  #||
% 0.43/0.61  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.61  % SZS output start Refutation
% See solution above
% 0.43/0.61  ||#
% 0.43/0.61  
% 0.43/0.61  ; Summary of computation:
% 0.43/0.61  ;       633 formulas have been input or derived (from 112 formulas).
% 0.43/0.61  ;       447 (71%) were retained.  Of these,
% 0.43/0.61  ;          107 (24%) were simplified or subsumed later,
% 0.43/0.61  ;          340 (76%) are still being kept.
% 0.43/0.61  ; 
% 0.43/0.61  ; Run time in seconds excluding printing time:
% 0.43/0.61  ;     0.027  21%   Read assertion file          (1 call)
% 0.43/0.61  ;     0.009   7%   Assert                       (96 calls)
% 0.43/0.61  ;     0.018  14%   Process new row              (610 calls)
% 0.43/0.61  ;     0.019  15%   Resolution                   (222 calls)
% 0.43/0.61  ;     0.001   1%   Paramodulation               (111 calls)
% 0.43/0.61  ;     0.000   0%   Factoring                    (6 calls)
% 0.43/0.61  ;     0.007   6%   Condensing                   (324 calls)
% 0.43/0.61  ;     0.007   6%   Forward subsumption          (324 calls)
% 0.43/0.61  ;     0.003   2%   Backward subsumption         (314 calls)
% 0.43/0.61  ;     0.000   0%   Clause clause subsumption    (88 calls)
% 0.43/0.61  ;     0.012   9%   Forward simplification       (610 calls)
% 0.43/0.61  ;     0.002   2%   Backward simplification      (439 calls)
% 0.43/0.61  ;     0.000   0%   Ordering                     (258 calls)
% 0.43/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.43/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.43/0.61  ;     0.022  17%   Other
% 0.43/0.61  ;     0.127        Total
% 0.43/0.61  ;     0.129        Real time
% 0.43/0.61  ; 
% 0.43/0.62  ; Term-hash-array has 633 terms in all.
% 0.43/0.62  ; Feature-vector-row-index has 217 entries (302 at peak, 314 added, 97 deleted).
% 0.43/0.62  ; Feature-vector-row-index has 710 nodes (976 at peak, 1,010 added, 300 deleted).
% 0.43/0.62  ;  Retrieved 157 possibly forward subsuming rows in 324 calls.
% 0.43/0.62  ;  Retrieved 105 possibly backward subsumed rows in 314 calls.
% 0.43/0.62  ; Path-index has 560 entries (630 at peak, 674 added, 114 deleted).
% 0.43/0.62  ; Path-index has 1,134 nodes (1,211 at peak, 1,243 added, 109 deleted).
% 0.43/0.62  ; Trie-index has 560 entries (630 at peak, 674 added, 114 deleted).
% 0.43/0.62  ; Trie-index has 1,195 nodes (1,273 at peak, 1,323 added, 128 deleted).
% 0.43/0.62  ; Retrieved 189 generalization terms in 1,059 calls.
% 0.43/0.62  ; Retrieved 124 instance terms in 124 calls.
% 0.43/0.62  ; Retrieved 20,076 unifiable terms in 1,158 calls.
% 0.43/0.62  ; 
% 0.43/0.62  ; The agenda of rows to process has 9 entries:
% 0.43/0.62  ;     9 with value 9
% 0.43/0.62  ; The agenda of input rows to give has 92 entries:
% 0.43/0.62  ;    10 with value 14              9 with value 21               6 with value 27
% 0.43/0.62  ;     4 with value 15              5 with value 22               1 with value 29
% 0.43/0.62  ;     9 with value 16              2 with value 23               1 with value 32
% 0.43/0.62  ;     4 with value 17              3 with value 24               1 with value 35
% 0.43/0.62  ;     7 with value 18              8 with value 25               3 with value 40
% 0.43/0.62  ;     2 with value 19              3 with value 26               3 with value 44
% 0.43/0.62  ;    11 with value 20
% 0.43/0.62  ; The agenda of rows to give has 142 entries:
% 0.43/0.62  ;     7 with value (4 4)          26 with value (4 7)           38 with value (4 9)
% 0.43/0.62  ;    37 with value (4 5)          19 with value (4 8)            3 with value (4 11)
% 0.43/0.62  ;    12 with value (4 6)
% 0.43/0.62  Evaluation took:
% 0.43/0.62    0.129 seconds of real time
% 0.43/0.62    0.113136 seconds of user run time
% 0.43/0.62    0.016033 seconds of system run time
% 0.43/0.62    0 calls to %EVAL
% 0.43/0.62    0 page faults and
% 0.43/0.62    8,282,336 bytes consed.
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T22:40:23
% 0.43/0.62  :PROOF-FOUND
% 0.43/0.62  * 
%------------------------------------------------------------------------------