TSTP Solution File: SWC037-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 21:56:31 EDT 2022

% Result   : Unsatisfiable 0.93s 1.08s
% Output   : Refutation 0.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  12 unt;   3 nHn;  17 RR)
%            Number of literals    :   25 (  11 equ;   7 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    3 (   0 sgn)

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

cnf(clause80,axiom,
    ( ~ segmentP(nil,X)
    | ~ ssList(X)
    | nil = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).

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

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

cnf(co1_6,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(189,plain,
    nil = sk4,
    inference('REWRITE',[status(thm)],[co1_6,co1_5,theory(equality)]) ).

cnf(co1_7,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_10,negated_conjecture,
    ( ssList(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(193,plain,
    ssList(sk5),
    inference('REWRITE',[status(thm)],[co1_10,co1_8,co1_7,theory(equality)]) ).

cnf(co1_14,negated_conjecture,
    ( neq(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(195,plain,
    neq(sk5,nil),
    inference('REWRITE',[status(thm)],[co1_14,co1_8,co1_7,theory(equality)]) ).

cnf(co1_15,negated_conjecture,
    ( segmentP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(197,plain,
    segmentP(nil,sk5),
    inference('REWRITE',[status(thm)],[co1_15,co1_8,co1_7,189,theory(equality)]) ).

cnf(652,plain,
    nil = sk5,
    inference('HYPERRESOLVE',[status(thm)],[clause80,197,193]) ).

cnf(653,plain,
    neq(nil,nil),
    inference('REWRITE',[status(thm)],[195,652,theory(equality)]) ).

cnf(4158,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[clause115,653,clause8,clause8,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jun 13 00:15:51 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50   (USE-FACTORING :POS)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50  * 
% 0.22/0.50  "."
% 0.22/0.50  * 
% 0.22/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T00:15:51
% 0.22/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-13T00:15:51
% 0.93/1.08  
% 0.93/1.08  
% 0.93/1.08  #||
% 0.93/1.08  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.08  % SZS output start Refutation
% See solution above
% 0.93/1.08  ||#
% 0.93/1.08  
% 0.93/1.08  ; Summary of computation:
% 0.93/1.08  ;      6078 formulas have been input or derived (from 117 formulas).
% 0.93/1.08  ;      4158 (68%) were retained.  Of these,
% 0.93/1.08  ;           21 ( 1%) were simplified or subsumed later,
% 0.93/1.08  ;         4137 (99%) are still being kept.
% 0.93/1.08  ; 
% 0.93/1.08  ; Run time in seconds excluding printing time:
% 0.93/1.08  ;     0.037   6%   Read assertion file          (1 call)
% 0.93/1.08  ;     0.007   1%   Assert                       (201 calls)
% 0.93/1.08  ;     0.203  35%   Process new row              (6,030 calls)
% 0.93/1.08  ;     0.133  23%   Resolution                   (232 calls)
% 0.93/1.08  ;     0.000   0%   Paramodulation               (116 calls)
% 0.93/1.08  ;     0.029   5%   Condensing                   (1,391 calls)
% 0.93/1.08  ;     0.015   3%   Forward subsumption          (1,391 calls)
% 0.93/1.08  ;     0.033   6%   Backward subsumption         (1,389 calls)
% 0.93/1.08  ;     0.002   0%   Clause clause subsumption    (1,195 calls)
% 0.93/1.08  ;     0.050   9%   Forward simplification       (6,029 calls)
% 0.93/1.08  ;     0.026   5%   Backward simplification      (4,153 calls)
% 0.93/1.08  ;     0.000   0%   Ordering                     (1,428 calls)
% 0.93/1.08  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.93/1.08  ;     0.001   0%   Purity testing               (1 call)
% 0.93/1.08  ;     0.041   7%   Other
% 0.93/1.08  ;     0.577        Total
% 0.93/1.08  ;     0.579        Real time
% 0.93/1.08  ; 
% 0.93/1.08  ; Term-hash-array has 6,895 terms in all.
% 0.93/1.08  ; Feature-vector-row-index has 1,388 entries (1,388 at peak, 1,389 added, 1 deleted).
% 0.93/1.08  ; Feature-vector-row-index has 1,069 nodes (1,069 at peak, 1,070 added, 1 deleted).
% 0.93/1.08  ;  Retrieved 6,698 possibly forward subsuming rows in 1,391 calls.
% 0.93/1.08  ;  Retrieved 6,662 possibly backward subsumed rows in 1,389 calls.
% 0.93/1.08  ; Path-index has 6,885 entries (6,885 at peak, 6,903 added, 18 deleted).
% 0.93/1.08  ; Path-index has 3,636 nodes (3,636 at peak, 3,653 added, 17 deleted).
% 0.93/1.08  ; Trie-index has 6,885 entries (6,885 at peak, 6,903 added, 18 deleted).
% 0.93/1.08  ; Trie-index has 16,032 nodes (16,032 at peak, 16,058 added, 26 deleted).
% 0.93/1.08  ; Retrieved 1,986 generalization terms in 8,703 calls.
% 0.93/1.08  ; Retrieved 2,763 instance terms in 2,763 calls.
% 0.93/1.08  ; Retrieved 229,374 unifiable terms in 7,214 calls.
% 0.93/1.08  ; 
% 0.93/1.08  ; The agenda of rows to process has 31 entries:
% 0.93/1.08  ;     1 with value 4              21 with value 8                6 with value 10
% 0.93/1.08  ;     3 with value 5
% 0.93/1.08  ; The agenda of input rows to give has 76 entries:
% 0.93/1.08  ;     1 with value 14              9 with value 21               1 with value 29
% 0.93/1.08  ;     3 with value 15              5 with value 22               1 with value 32
% 0.93/1.08  ;     3 with value 16              2 with value 23               1 with value 33
% 0.93/1.08  ;     4 with value 17              3 with value 24               1 with value 35
% 0.93/1.08  ;     7 with value 18              8 with value 25               2 with value 40
% 0.93/1.08  ;     2 with value 19              3 with value 26               3 with value 44
% 0.93/1.08  ;    11 with value 20              6 with value 27
% 0.93/1.08  ; The agenda of rows to give has 3948 entries:
% 0.93/1.08  ;    27 with value (4 5)         891 with value (4 10)         690 with value (4 15)
% 0.93/1.08  ;     2 with value (4 6)         755 with value (4 11)          54 with value (4 16)
% 0.93/1.08  ;    98 with value (4 7)         441 with value (4 12)         252 with value (4 17)
% 0.93/1.08  ;   150 with value (4 8)         168 with value (4 13)          48 with value (4 19)
% 0.93/1.08  ;   240 with value (4 9)         132 with value (4 14)
% 0.93/1.08  Evaluation took:
% 0.93/1.08    0.58 seconds of real time
% 0.93/1.08    0.529775 seconds of user run time
% 0.93/1.08    0.049084 seconds of system run time
% 0.93/1.08    [Run times include 0.055 seconds GC run time.]
% 0.93/1.08    0 calls to %EVAL
% 0.93/1.08    0 page faults and
% 0.93/1.08    41,825,400 bytes consed.
% 0.93/1.08  :PROOF-FOUND
% 0.93/1.08  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T00:15:52
% 0.93/1.08  :PROOF-FOUND
% 0.93/1.08  * 
%------------------------------------------------------------------------------