TSTP Solution File: SWC104-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC104-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 21:56:55 EDT 2022

% Result   : Unsatisfiable 3.61s 3.79s
% Output   : Refutation 3.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   21 (  14 unt;   2 nHn;  21 RR)
%            Number of literals    :   35 (  14 equ;  17 neg)
%            Maximal clause size   :    5 (   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   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause100,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(Y,X)
    | Y = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(clause115,axiom,
    ( Y != X
    | ~ neq(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(clause144,axiom,
    ( app(X,Y) != Z
    | ~ ssList(Y)
    | ~ ssList(X)
    | ~ ssList(Z)
    | frontsegP(Z,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

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

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

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

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_9,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(192,plain,
    app(sk1,sk5) = sk2,
    inference('REWRITE',[status(thm)],[co1_9,co1_5,co1_6,theory(equality)]) ).

cnf(co1_12,negated_conjecture,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(198,plain,
    ( nil = sk2
    | nil != sk1 ),
    inference('REWRITE',[status(thm)],[co1_12,co1_6,co1_5,theory(equality)]) ).

cnf(co1_13,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ frontsegP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

cnf(3254,plain,
    ( neq(sk1,nil)
    | nil = sk1 ),
    inference('HYPERRESOLVE',[status(thm)],[clause100,clause8,co1_1]) ).

cnf(4504,plain,
    nil != sk2,
    inference('UR-RESOLVE',[status(thm)],[clause115,co1_7,clause8,co1_2]) ).

cnf(4505,plain,
    nil != sk1,
    inference('REWRITE',[status(thm)],[198,4504]) ).

cnf(4509,plain,
    neq(sk1,nil),
    inference('REWRITE',[status(thm)],[3254,4505]) ).

cnf(4510,plain,
    ~ frontsegP(sk2,sk1),
    inference('REWRITE',[status(thm)],[co1_13,4509]) ).

cnf(10288,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[clause144,192,co1_8,co1_1,co1_2,4510]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC104-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n016.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 06:26:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T06:26:12
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-12T06:26:12
% 3.61/3.79  
% 3.61/3.79  
% 3.61/3.79  #||
% 3.61/3.79  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.61/3.79  % SZS output start Refutation
% See solution above
% 3.61/3.80  ||#
% 3.61/3.80  
% 3.61/3.80  ; Summary of computation:
% 3.61/3.80  ;     14660 formulas have been input or derived (from 150 formulas).
% 3.61/3.80  ;     10288 (70%) were retained.  Of these,
% 3.61/3.80  ;         2611 (25%) were simplified or subsumed later,
% 3.61/3.80  ;         7677 (75%) are still being kept.
% 3.61/3.80  ; 
% 3.61/3.80  ; Run time in seconds excluding printing time:
% 3.61/3.80  ;     0.021   1%   Read assertion file          (1 call)
% 3.61/3.80  ;     0.005   0%   Assert                       (198 calls)
% 3.61/3.80  ;     0.497  15%   Process new row              (14,614 calls)
% 3.61/3.80  ;     2.164  65%   Resolution                   (298 calls)
% 3.61/3.80  ;     0.002   0%   Paramodulation               (149 calls)
% 3.61/3.80  ;     0.013   0%   Condensing                   (2,463 calls)
% 3.61/3.80  ;     0.094   3%   Forward subsumption          (2,463 calls)
% 3.61/3.80  ;     0.095   3%   Backward subsumption         (2,461 calls)
% 3.61/3.80  ;     0.000   0%   Clause clause subsumption    (1,320 calls)
% 3.61/3.80  ;     0.143   4%   Forward simplification       (14,614 calls)
% 3.61/3.80  ;     0.203   6%   Backward simplification      (10,284 calls)
% 3.61/3.80  ;     0.017   1%   Ordering                     (5,998 calls)
% 3.61/3.80  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.61/3.80  ;     0.000   0%   Purity testing               (1 call)
% 3.61/3.80  ;     0.068   2%   Other
% 3.61/3.80  ;     3.322        Total
% 3.61/3.80  ;     3.323        Real time
% 3.61/3.80  ; 
% 3.61/3.80  ; Term-hash-array has 16,957 terms in all.
% 3.61/3.80  ; Feature-vector-row-index has 2,410 entries (2,410 at peak, 2,461 added, 51 deleted).
% 3.61/3.80  ; Feature-vector-row-index has 2,636 nodes (2,636 at peak, 2,996 added, 360 deleted).
% 3.61/3.80  ;  Retrieved 9,248 possibly forward subsuming rows in 2,463 calls.
% 3.61/3.80  ;  Retrieved 9,209 possibly backward subsumed rows in 2,461 calls.
% 3.61/3.80  ; Path-index has 13,282 entries (13,282 at peak, 17,054 added, 3,772 deleted).
% 3.61/3.80  ; Path-index has 5,908 nodes (5,908 at peak, 6,473 added, 565 deleted).
% 3.61/3.80  ; Trie-index has 13,282 entries (13,282 at peak, 17,054 added, 3,772 deleted).
% 3.61/3.80  ; Trie-index has 37,607 nodes (37,607 at peak, 48,586 added, 10,979 deleted).
% 3.61/3.80  ; Retrieved 5,574 generalization terms in 38,439 calls.
% 3.61/3.80  ; Retrieved 7,909 instance terms in 7,822 calls.
% 3.61/3.80  ; Retrieved 7,844,160 unifiable terms in 205,615 calls.
% 3.61/3.80  ; 
% 3.61/3.80  ; The agenda of rows to process has 36 entries:
% 3.61/3.80  ;     3 with value 4               4 with value 8                6 with value 11
% 3.61/3.80  ;     1 with value 5              21 with value 10               1 with value 18
% 3.61/3.80  ; The agenda of input rows to give has 47 entries:
% 3.61/3.80  ;     1 with value 20              8 with value 25               1 with value 33
% 3.61/3.80  ;     9 with value 21              3 with value 26               1 with value 35
% 3.61/3.80  ;     5 with value 22              1 with value 27               1 with value 36
% 3.61/3.80  ;     2 with value 23              1 with value 29               2 with value 40
% 3.61/3.80  ;     2 with value 24              7 with value 32               3 with value 44
% 3.61/3.80  ; The agenda of rows to give has 7483 entries:
% 3.61/3.80  ;    47 with value (4 5)         788 with value (4 13)         153 with value (4 20)
% 3.61/3.80  ;     3 with value (4 6)         548 with value (4 14)         462 with value (4 21)
% 3.61/3.80  ;   105 with value (4 7)        1591 with value (4 15)         126 with value (4 22)
% 3.61/3.80  ;   193 with value (4 8)         249 with value (4 16)          18 with value (4 23)
% 3.61/3.80  ;   275 with value (4 9)        1017 with value (4 17)         147 with value (4 24)
% 3.61/3.80  ;   576 with value (4 10)        412 with value (4 18)          42 with value (4 25)
% 3.61/3.80  ;   394 with value (4 11)        138 with value (4 19)           6 with value (4 28)
% 3.61/3.80  ;   193 with value (4 12)
% 3.61/3.80  Evaluation took:
% 3.61/3.80    3.324 seconds of real time
% 3.61/3.80    3.181616 seconds of user run time
% 3.61/3.80    0.142415 seconds of system run time
% 3.61/3.80    [Run times include 0.32 seconds GC run time.]
% 3.61/3.80    0 calls to %EVAL
% 3.61/3.80    0 page faults and
% 3.61/3.80    306,360,888 bytes consed.
% 3.61/3.80  :PROOF-FOUND
% 3.61/3.80  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T06:26:16
% 3.61/3.80  :PROOF-FOUND
% 3.61/3.80  * 
%------------------------------------------------------------------------------