TSTP Solution File: SWC254+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC254+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 21:57:48 EDT 2022

% Result   : Theorem 0.15s 0.50s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   18 (   5 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ( ~ ssList(X)
    | singletonP(X)
    | ~ ssItem(Y)
    | cons(Y,nil) != X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).

cnf(188,negated_conjecture,
    ssList('SKOLEMAAAO48'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(192,negated_conjecture,
    'SKOLEMAAAO49' = 'SKOLEMAAAO51',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(193,negated_conjecture,
    'SKOLEMAAAO48' = 'SKOLEMAAAO50',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(194,negated_conjecture,
    neq('SKOLEMAAAO49',nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(195,negated_conjecture,
    ( ssItem('SKOLEMAAAO52')
    | ~ neq('SKOLEMAAAO51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(196,plain,
    ssItem('SKOLEMAAAO52'),
    inference('REWRITE',[status(thm)],[195,194,192,theory(equality)]) ).

cnf(199,negated_conjecture,
    ( cons('SKOLEMAAAO52',nil) = 'SKOLEMAAAO50'
    | ~ neq('SKOLEMAAAO51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(200,plain,
    cons('SKOLEMAAAO52',nil) = 'SKOLEMAAAO48',
    inference('REWRITE',[status(thm)],[199,194,192,193,theory(equality)]) ).

cnf(203,negated_conjecture,
    ( ~ singletonP('SKOLEMAAAO48')
    | ~ neq('SKOLEMAAAO51',nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(204,plain,
    ~ singletonP('SKOLEMAAAO48'),
    inference('REWRITE',[status(thm)],[203,194,192,theory(equality)]) ).

cnf(470,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[12,188,204,196,200]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SWC254+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.11  % Command  : run-snark %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Sun Jun 12 06:19:25 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.15/0.39  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40  * 
% 0.15/0.40  * 
% 0.15/0.40  #<PACKAGE "SNARK-USER">
% 0.15/0.40  * 
% 0.15/0.40  SNARK-TPTP-OPTIONS
% 0.15/0.40  * 
% 0.15/0.40  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.40   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.40   (USE-FACTORING :POS)
% 0.15/0.40   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.40   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.40   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.40   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.40   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.40   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.40   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.40   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.40   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.40   (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.40  * 
% 0.15/0.40  "."
% 0.15/0.40  * 
% 0.15/0.40  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:19:25
% 0.15/0.40  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-12T06:19:25
% 0.15/0.50  
% 0.15/0.50  
% 0.15/0.50  #||
% 0.15/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.50  % SZS output start Refutation
% See solution above
% 0.15/0.50  ||#
% 0.15/0.50  
% 0.15/0.50  ; Summary of computation:
% 0.15/0.50  ;       732 formulas have been input or derived (from 123 formulas).
% 0.15/0.50  ;       470 (64%) were retained.  Of these,
% 0.15/0.50  ;           27 ( 6%) were simplified or subsumed later,
% 0.15/0.50  ;          443 (94%) are still being kept.
% 0.15/0.50  ; 
% 0.15/0.50  ; Run time in seconds excluding printing time:
% 0.15/0.50  ;     0.016  17%   Read assertion file          (1 call)
% 0.15/0.50  ;     0.005   5%   Assert                       (96 calls)
% 0.15/0.50  ;     0.016  17%   Process new row              (713 calls)
% 0.15/0.50  ;     0.015  16%   Resolution                   (244 calls)
% 0.15/0.50  ;     0.000   0%   Paramodulation               (122 calls)
% 0.15/0.50  ;     0.006   6%   Condensing                   (282 calls)
% 0.15/0.50  ;     0.004   4%   Forward subsumption          (282 calls)
% 0.15/0.50  ;     0.002   2%   Backward subsumption         (281 calls)
% 0.15/0.50  ;     0.002   2%   Clause clause subsumption    (74 calls)
% 0.15/0.50  ;     0.008   8%   Forward simplification       (713 calls)
% 0.15/0.50  ;     0.003   3%   Backward simplification      (465 calls)
% 0.15/0.50  ;     0.002   2%   Ordering                     (213 calls)
% 0.15/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.15/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.15/0.50  ;     0.017  18%   Other
% 0.15/0.50  ;     0.096        Total
% 0.15/0.50  ;     0.098        Real time
% 0.15/0.50  ; 
% 0.15/0.50  ; Term-hash-array has 746 terms in all.
% 0.15/0.50  ; Feature-vector-row-index has 269 entries (269 at peak, 281 added, 12 deleted).
% 0.15/0.50  ; Feature-vector-row-index has 818 nodes (818 at peak, 844 added, 26 deleted).
% 0.15/0.50  ;  Retrieved 126 possibly forward subsuming rows in 282 calls.
% 0.15/0.50  ;  Retrieved 97 possibly backward subsumed rows in 281 calls.
% 0.15/0.50  ; Path-index has 745 entries (745 at peak, 781 added, 36 deleted).
% 0.15/0.50  ; Path-index has 1,287 nodes (1,287 at peak, 1,323 added, 36 deleted).
% 0.15/0.50  ; Trie-index has 745 entries (745 at peak, 781 added, 36 deleted).
% 0.15/0.50  ; Trie-index has 1,448 nodes (1,448 at peak, 1,486 added, 38 deleted).
% 0.15/0.50  ; Retrieved 294 generalization terms in 1,303 calls.
% 0.15/0.50  ; Retrieved 183 instance terms in 183 calls.
% 0.15/0.50  ; Retrieved 33,639 unifiable terms in 1,888 calls.
% 0.15/0.50  ; 
% 0.15/0.50  ; The agenda of rows to process has 11 entries:
% 0.15/0.50  ;     4 with value 4               6 with value 8                1 with value 14
% 0.15/0.50  ; The agenda of input rows to give has 75 entries:
% 0.15/0.50  ;     6 with value 16              5 with value 22               1 with value 29
% 0.15/0.50  ;     4 with value 17              2 with value 23               1 with value 32
% 0.15/0.50  ;     7 with value 18              3 with value 24               1 with value 35
% 0.15/0.50  ;     2 with value 19              8 with value 25               3 with value 40
% 0.15/0.50  ;    11 with value 20              3 with value 26               3 with value 44
% 0.15/0.50  ;     9 with value 21              6 with value 27
% 0.15/0.50  ; The agenda of rows to give has 245 entries:
% 0.15/0.50  ;     7 with value (4 4)          37 with value (4 7)           28 with value (4 10)
% 0.15/0.50  ;    50 with value (4 5)          29 with value (4 8)            6 with value (4 11)
% 0.15/0.50  ;     6 with value (4 6)          80 with value (4 9)            2 with value (4 12)
% 0.15/0.50  Evaluation took:
% 0.15/0.50    0.099 seconds of real time
% 0.15/0.50    0.089305 seconds of user run time
% 0.15/0.50    0.009084 seconds of system run time
% 0.15/0.50    0 calls to %EVAL
% 0.15/0.50    0 page faults and
% 0.15/0.50    8,241,744 bytes consed.
% 0.15/0.50  :PROOF-FOUND
% 0.15/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:19:25
% 0.15/0.50  :PROOF-FOUND
% 0.15/0.50  * 
%------------------------------------------------------------------------------