TSTP Solution File: SWC381-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC381-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 21:58:32 EDT 2022

% Result   : Unsatisfiable 0.88s 1.07s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  12 RR)
%            Number of literals    :   20 (   6 equ;  10 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   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

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

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_13,negated_conjecture,
    ( ~ ssItem(X)
    | cons(X,nil) != sk1
    | ~ memberP(sk2,X)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(191,plain,
    ( ~ ssItem(X)
    | cons(X,nil) != sk1
    | ~ memberP(sk2,X) ),
    inference('REWRITE',[status(thm)],[co1_13,co1_7,co1_5,theory(equality)]) ).

cnf(co1_14,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

cnf(193,plain,
    ssItem(sk5),
    inference('REWRITE',[status(thm)],[co1_14,co1_7,co1_5,theory(equality)]) ).

cnf(co1_15,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

cnf(195,plain,
    cons(sk5,nil) = sk1,
    inference('REWRITE',[status(thm)],[co1_15,co1_7,co1_5,co1_6,theory(equality)]) ).

cnf(co1_16,negated_conjecture,
    ( memberP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

cnf(197,plain,
    memberP(sk2,sk5),
    inference('REWRITE',[status(thm)],[co1_16,co1_7,co1_5,theory(equality)]) ).

cnf(4505,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[191,193,195,197]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC381-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n029.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 06:12:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:12:39
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-12T06:12:39
% 0.88/1.07  
% 0.88/1.07  
% 0.88/1.07  #||
% 0.88/1.07  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.07  % SZS output start Refutation
% See solution above
% 0.88/1.07  ||#
% 0.88/1.07  
% 0.88/1.07  ; Summary of computation:
% 0.88/1.07  ;      6508 formulas have been input or derived (from 117 formulas).
% 0.88/1.07  ;      4505 (69%) were retained.  Of these,
% 0.88/1.07  ;           11 ( 0%) were simplified or subsumed later,
% 0.88/1.07  ;         4494 (100%) are still being kept.
% 0.88/1.07  ; 
% 0.88/1.07  ; Run time in seconds excluding printing time:
% 0.88/1.07  ;     0.038   7%   Read assertion file          (1 call)
% 0.88/1.07  ;     0.006   1%   Assert                       (201 calls)
% 0.88/1.07  ;     0.225  39%   Process new row              (6,495 calls)
% 0.88/1.07  ;     0.115  20%   Resolution                   (232 calls)
% 0.88/1.07  ;     0.000   0%   Paramodulation               (116 calls)
% 0.88/1.07  ;     0.017   3%   Condensing                   (1,486 calls)
% 0.88/1.07  ;     0.017   3%   Forward subsumption          (1,486 calls)
% 0.88/1.07  ;     0.047   8%   Backward subsumption         (1,484 calls)
% 0.88/1.07  ;     0.002   0%   Clause clause subsumption    (1,285 calls)
% 0.88/1.07  ;     0.036   6%   Forward simplification       (6,495 calls)
% 0.88/1.07  ;     0.030   5%   Backward simplification      (4,501 calls)
% 0.88/1.07  ;     0.002   0%   Ordering                     (1,525 calls)
% 0.88/1.07  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.88/1.07  ;     0.001   0%   Purity testing               (1 call)
% 0.88/1.07  ;     0.044   8%   Other
% 0.88/1.07  ;     0.580        Total
% 0.88/1.07  ;     0.582        Real time
% 0.88/1.07  ; 
% 0.88/1.07  ; Term-hash-array has 7,390 terms in all.
% 0.88/1.07  ; Feature-vector-row-index has 1,479 entries (1,482 at peak, 1,484 added, 5 deleted).
% 0.88/1.07  ; Feature-vector-row-index has 1,133 nodes (1,151 at peak, 1,161 added, 28 deleted).
% 0.88/1.07  ;  Retrieved 6,887 possibly forward subsuming rows in 1,486 calls.
% 0.88/1.07  ;  Retrieved 6,851 possibly backward subsumed rows in 1,484 calls.
% 0.88/1.07  ; Path-index has 7,396 entries (7,396 at peak, 7,407 added, 11 deleted).
% 0.88/1.07  ; Path-index has 3,681 nodes (3,681 at peak, 3,691 added, 10 deleted).
% 0.88/1.07  ; Trie-index has 7,396 entries (7,396 at peak, 7,407 added, 11 deleted).
% 0.88/1.07  ; Trie-index has 16,814 nodes (16,814 at peak, 16,825 added, 11 deleted).
% 0.88/1.07  ; Retrieved 2,130 generalization terms in 11,110 calls.
% 0.88/1.07  ; Retrieved 3,058 instance terms in 3,016 calls.
% 0.88/1.07  ; Retrieved 261,454 unifiable terms in 7,810 calls.
% 0.88/1.07  ; 
% 0.88/1.07  ; The agenda of rows to process has 4 entries:
% 0.88/1.07  ;     1 with value 4               1 with value 8                1 with value 12
% 0.88/1.07  ;     1 with value 5
% 0.88/1.07  ; The agenda of input rows to give has 75 entries:
% 0.88/1.07  ;     3 with value 15              5 with value 22               1 with value 29
% 0.88/1.07  ;     3 with value 16              2 with value 23               1 with value 32
% 0.88/1.07  ;     4 with value 17              3 with value 24               1 with value 33
% 0.88/1.07  ;     7 with value 18              8 with value 25               1 with value 35
% 0.88/1.07  ;     2 with value 19              3 with value 26               2 with value 40
% 0.88/1.07  ;    11 with value 20              6 with value 27               3 with value 44
% 0.88/1.07  ;     9 with value 21
% 0.88/1.07  ; The agenda of rows to give has 4302 entries:
% 0.88/1.07  ;     7 with value (4 4)         324 with value (4 9)          132 with value (4 14)
% 0.88/1.07  ;    43 with value (4 5)         966 with value (4 10)         702 with value (4 15)
% 0.88/1.07  ;     4 with value (4 6)         782 with value (4 11)          54 with value (4 16)
% 0.88/1.07  ;   105 with value (4 7)         441 with value (4 12)         252 with value (4 17)
% 0.88/1.07  ;   196 with value (4 8)         246 with value (4 13)          48 with value (4 19)
% 0.88/1.07  Evaluation took:
% 0.88/1.07    0.583 seconds of real time
% 0.88/1.07    0.531397 seconds of user run time
% 0.88/1.07    0.050955 seconds of system run time
% 0.88/1.07    [Run times include 0.048 seconds GC run time.]
% 0.88/1.07    0 calls to %EVAL
% 0.88/1.07    0 page faults and
% 0.88/1.07    45,039,168 bytes consed.
% 0.88/1.07  :PROOF-FOUND
% 0.88/1.07  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T06:12:40
% 0.88/1.07  :PROOF-FOUND
% 0.88/1.07  * 
%------------------------------------------------------------------------------