TSTP Solution File: SWC179-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC179-1 : 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 21:57:24 EDT 2022

% Result   : Unsatisfiable 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   8 unt;   3 nHn;   9 RR)
%            Number of literals    :   17 (   6 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause2) ).

cnf(clause65,axiom,
    ( ~ ssItem(X)
    | duplicatefreeP(cons(X,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause65) ).

cnf(clause72,axiom,
    ( ~ ssList(X)
    | duplicatefreeP(X)
    | ssItem(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    ~ duplicatefreeP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_18,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

cnf(211,plain,
    ( cons(sk5,nil) = sk1
    | nil = sk1 ),
    inference('REWRITE',[status(thm)],[co1_18,co1_6,theory(equality)]) ).

cnf(624,plain,
    ssItem(X),
    inference('UR-RESOLVE',[status(thm)],[clause72,co1_1,co1_7]) ).

cnf(644,plain,
    duplicatefreeP(cons(X,nil)),
    inference('REWRITE',[status(thm)],[clause65,624]) ).

cnf(871,plain,
    nil = sk1,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[644,211,theory(equality)]),co1_7]) ).

cnf(873,plain,
    $false,
    inference('REWRITE',[status(thm)],[co1_7,clause2,871,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC179-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.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 10:55:01 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  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 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 2022-06-12T10:55:01
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-12T10:55:01
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  #||
% 0.46/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.65  % SZS output start Refutation
% See solution above
% 0.46/0.65  ||#
% 0.46/0.65  
% 0.46/0.65  ; Summary of computation:
% 0.46/0.65  ;      1465 formulas have been input or derived (from 119 formulas).
% 0.46/0.65  ;       873 (60%) were retained.  Of these,
% 0.46/0.65  ;          399 (46%) were simplified or subsumed later,
% 0.46/0.65  ;          474 (54%) are still being kept.
% 0.46/0.65  ; 
% 0.46/0.65  ; Run time in seconds excluding printing time:
% 0.46/0.65  ;     0.038  24%   Read assertion file          (1 call)
% 0.46/0.65  ;     0.006   4%   Assert                       (206 calls)
% 0.46/0.65  ;     0.037  23%   Process new row              (1,392 calls)
% 0.46/0.65  ;     0.007   4%   Resolution                   (236 calls)
% 0.46/0.65  ;     0.000   0%   Paramodulation               (118 calls)
% 0.46/0.65  ;     0.000   0%   Factoring                    (9 calls)
% 0.46/0.65  ;     0.006   4%   Condensing                   (267 calls)
% 0.46/0.65  ;     0.003   2%   Forward subsumption          (267 calls)
% 0.46/0.65  ;     0.008   5%   Backward subsumption         (265 calls)
% 0.46/0.65  ;     0.002   1%   Clause clause subsumption    (85 calls)
% 0.46/0.65  ;     0.012   8%   Forward simplification       (1,354 calls)
% 0.46/0.65  ;     0.009   6%   Backward simplification      (859 calls)
% 0.46/0.65  ;     0.001   1%   Ordering                     (188 calls)
% 0.46/0.65  ;     0.002   1%   Sortal reasoning             (32 calls)
% 0.46/0.65  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.65  ;     0.027  17%   Other
% 0.46/0.65  ;     0.158        Total
% 0.46/0.65  ;     0.159        Real time
% 0.46/0.65  ; 
% 0.46/0.65  ; Term-hash-array has 1,065 terms in all.
% 0.46/0.65  ; Feature-vector-row-index has 113 entries (184 at peak, 265 added, 152 deleted).
% 0.46/0.65  ; Feature-vector-row-index has 484 nodes (854 at peak, 1,178 added, 694 deleted).
% 0.46/0.65  ;  Retrieved 65 possibly forward subsuming rows in 267 calls.
% 0.46/0.65  ;  Retrieved 32 possibly backward subsumed rows in 265 calls.
% 0.46/0.65  ; Path-index has 750 entries (824 at peak, 1,183 added, 433 deleted).
% 0.46/0.65  ; Path-index has 1,998 nodes (2,073 at peak, 2,423 added, 425 deleted).
% 0.46/0.65  ; Trie-index has 750 entries (824 at peak, 1,183 added, 433 deleted).
% 0.46/0.65  ; Trie-index has 1,936 nodes (2,053 at peak, 2,850 added, 914 deleted).
% 0.46/0.65  ; Retrieved 538 generalization terms in 2,021 calls.
% 0.46/0.65  ; Retrieved 831 instance terms in 593 calls.
% 0.46/0.65  ; Retrieved 7,540 unifiable terms in 1,180 calls.
% 0.46/0.65  ; 
% 0.46/0.65  ; The agenda of backward simplifiable rows to process has 36 entries:
% 0.46/0.65  ;    36 with value 0
% 0.46/0.65  ; The agenda of rows to process has 3 entries:
% 0.46/0.65  ;     1 with value 8               1 with value 9                1 with value 12
% 0.46/0.65  ; The agenda of input rows to give has 87 entries:
% 0.46/0.65  ;     1 with value 4               6 with value 19               2 with value 26
% 0.46/0.65  ;    12 with value 12              8 with value 20               6 with value 27
% 0.46/0.65  ;    12 with value 13              5 with value 21               1 with value 29
% 0.46/0.65  ;     2 with value 14              6 with value 22               1 with value 30
% 0.46/0.65  ;     2 with value 15              3 with value 23               1 with value 32
% 0.46/0.65  ;     2 with value 16              1 with value 24               2 with value 34
% 0.46/0.65  ;     6 with value 17              1 with value 25               3 with value 38
% 0.46/0.65  ;     4 with value 18
% 0.46/0.65  ; The agenda of rows to give has 310 entries:
% 0.46/0.65  ;     1 with value (4 4)          83 with value (4 8)           69 with value (4 11)
% 0.46/0.65  ;     9 with value (4 5)          21 with value (4 9)           18 with value (4 13)
% 0.46/0.65  ;    64 with value (4 7)          45 with value (4 10)
% 0.46/0.65  Evaluation took:
% 0.46/0.65    0.16 seconds of real time
% 0.46/0.65    0.145813 seconds of user run time
% 0.46/0.65    0.013973 seconds of system run time
% 0.46/0.65    0 calls to %EVAL
% 0.46/0.65    0 page faults and
% 0.46/0.65    10,500,824 bytes consed.
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T10:55:01
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  * 
%------------------------------------------------------------------------------