TSTP Solution File: SWC105-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC105-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 21:56:56 EDT 2022

% Result   : Unsatisfiable 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   23 (   9 unt;   7 nHn;  23 RR)
%            Number of literals    :   41 (  17 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn)

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

cnf(clause58,axiom,
    ( ~ ssList(X)
    | rearsegP(X,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause58) ).

cnf(clause82,axiom,
    ( ~ rearsegP(nil,X)
    | ~ ssList(X)
    | nil = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause82) ).

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

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_8,negated_conjecture,
    ( nil = sk2
    | ~ neq(sk1,nil)
    | ~ rearsegP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_9,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_10,negated_conjecture,
    ( nil != sk1
    | ~ neq(sk1,nil)
    | ~ rearsegP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_11,negated_conjecture,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(194,plain,
    ( nil = sk2
    | neq(sk1,nil) ),
    inference('REWRITE',[status(thm)],[co1_11,co1_6,co1_5,theory(equality)]) ).

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

cnf(196,plain,
    ( nil = sk2
    | rearsegP(sk2,sk1) ),
    inference('REWRITE',[status(thm)],[co1_12,co1_6,co1_5,theory(equality)]) ).

cnf(co1_14,negated_conjecture,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(200,plain,
    ( nil = sk1
    | rearsegP(sk2,sk1) ),
    inference('REWRITE',[status(thm)],[co1_14,co1_5,co1_6,theory(equality)]) ).

cnf(279,plain,
    rearsegP(nil,nil),
    inference('HYPERRESOLVE',[status(thm)],[clause58,clause8]) ).

cnf(2062,plain,
    nil = sk2,
    inference('HYPERRESOLVE',[status(thm)],[co1_8,194,196]) ).

cnf(2064,plain,
    ( nil != sk1
    | neq(nil,nil) ),
    inference('REWRITE',[status(thm)],[co1_9,2062,theory(equality)]) ).

cnf(2065,plain,
    ( nil != sk1
    | ~ neq(sk1,nil)
    | ~ rearsegP(nil,sk1) ),
    inference('REWRITE',[status(thm)],[co1_10,2062,theory(equality)]) ).

cnf(2066,plain,
    ( nil = sk1
    | rearsegP(nil,sk1) ),
    inference('REWRITE',[status(thm)],[200,2062,theory(equality)]) ).

cnf(2067,plain,
    nil = sk1,
    inference('HYPERRESOLVE',[status(thm)],[clause82,2066,co1_1]) ).

cnf(2069,plain,
    neq(nil,nil),
    inference('REWRITE',[status(thm)],[2064,2067,theory(equality)]) ).

cnf(2070,plain,
    $false,
    inference('REWRITE',[status(thm)],[2065,279,2069,2067,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWC105-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09  % Command  : run-snark %s %d
% 0.08/0.29  % Computer : n022.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Sun Jun 12 04:59:18 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.13/0.37  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  * 
% 0.13/0.38  * 
% 0.13/0.39  #<PACKAGE "SNARK-USER">
% 0.13/0.39  * 
% 0.13/0.39  SNARK-TPTP-OPTIONS
% 0.13/0.39  * 
% 0.13/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.39   (USE-FACTORING :POS)
% 0.13/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.39  * 
% 0.13/0.39  "."
% 0.13/0.39  * 
% 0.13/0.39  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T04:59:19
% 0.13/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-12T04:59:19
% 0.55/0.74  
% 0.55/0.74  
% 0.55/0.74  #||
% 0.55/0.74  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  ||#
% 0.55/0.74  
% 0.55/0.74  ; Summary of computation:
% 0.55/0.74  ;      4132 formulas have been input or derived (from 99 formulas).
% 0.55/0.74  ;      2070 (50%) were retained.  Of these,
% 0.55/0.74  ;          189 ( 9%) were simplified or subsumed later,
% 0.55/0.74  ;         1881 (91%) are still being kept.
% 0.55/0.74  ; 
% 0.55/0.74  ; Run time in seconds excluding printing time:
% 0.55/0.74  ;     0.035  10%   Read assertion file          (1 call)
% 0.55/0.74  ;     0.005   1%   Assert                       (199 calls)
% 0.55/0.74  ;     0.117  33%   Process new row              (4,113 calls)
% 0.55/0.74  ;     0.063  18%   Resolution                   (196 calls)
% 0.55/0.74  ;     0.002   1%   Paramodulation               (98 calls)
% 0.55/0.74  ;     0.000   0%   Factoring                    (6 calls)
% 0.55/0.74  ;     0.002   1%   Condensing                   (228 calls)
% 0.55/0.74  ;     0.005   1%   Forward subsumption          (228 calls)
% 0.55/0.74  ;     0.005   1%   Backward subsumption         (226 calls)
% 0.55/0.74  ;     0.000   0%   Clause clause subsumption    (59 calls)
% 0.55/0.74  ;     0.051  15%   Forward simplification       (4,112 calls)
% 0.55/0.74  ;     0.020   6%   Backward simplification      (2,066 calls)
% 0.55/0.74  ;     0.000   0%   Ordering                     (256 calls)
% 0.55/0.74  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.74  ;     0.000   0%   Purity testing               (1 call)
% 0.55/0.74  ;     0.045  13%   Other
% 0.55/0.74  ;     0.350        Total
% 0.55/0.74  ;     0.353        Real time
% 0.55/0.74  ; 
% 0.55/0.74  ; Term-hash-array has 3,767 terms in all.
% 0.55/0.74  ; Feature-vector-row-index has 209 entries (223 at peak, 226 added, 17 deleted).
% 0.55/0.74  ; Feature-vector-row-index has 667 nodes (747 at peak, 768 added, 101 deleted).
% 0.55/0.74  ;  Retrieved 114 possibly forward subsuming rows in 228 calls.
% 0.55/0.74  ;  Retrieved 78 possibly backward subsumed rows in 226 calls.
% 0.55/0.74  ; Path-index has 3,442 entries (3,768 at peak, 3,777 added, 335 deleted).
% 0.55/0.74  ; Path-index has 2,704 nodes (2,745 at peak, 2,754 added, 50 deleted).
% 0.55/0.74  ; Trie-index has 3,442 entries (3,768 at peak, 3,777 added, 335 deleted).
% 0.55/0.74  ; Trie-index has 7,992 nodes (8,469 at peak, 8,480 added, 488 deleted).
% 0.55/0.74  ; Retrieved 2,262 generalization terms in 5,895 calls.
% 0.55/0.74  ; Retrieved 1,839 instance terms in 1,839 calls.
% 0.55/0.74  ; Retrieved 52,062 unifiable terms in 2,769 calls.
% 0.55/0.74  ; 
% 0.55/0.74  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.55/0.74  ;     1 with value 0
% 0.55/0.74  ; The agenda of input rows to give has 100 entries:
% 0.55/0.74  ;     2 with value 4              11 with value 20               6 with value 27
% 0.55/0.74  ;    11 with value 13              9 with value 21               1 with value 29
% 0.55/0.74  ;    12 with value 14              5 with value 22               1 with value 32
% 0.55/0.74  ;     3 with value 15              2 with value 23               1 with value 33
% 0.55/0.74  ;     3 with value 16              3 with value 24               1 with value 35
% 0.55/0.74  ;     4 with value 17              8 with value 25               2 with value 40
% 0.55/0.74  ;     7 with value 18              3 with value 26               3 with value 44
% 0.55/0.74  ;     2 with value 19
% 0.55/0.74  ; The agenda of rows to give has 1695 entries:
% 0.55/0.74  ;    13 with value (4 5)         792 with value (4 10)          12 with value (4 13)
% 0.55/0.74  ;    94 with value (4 7)         384 with value (4 11)          42 with value (4 14)
% 0.55/0.74  ;   127 with value (4 8)          36 with value (4 12)          12 with value (4 16)
% 0.55/0.74  ;   183 with value (4 9)
% 0.55/0.74  Evaluation took:
% 0.55/0.74    0.354 seconds of real time
% 0.55/0.74    0.314479 seconds of user run time
% 0.55/0.74    0.039095 seconds of system run time
% 0.55/0.74    [Run times include 0.018 seconds GC run time.]
% 0.55/0.74    0 calls to %EVAL
% 0.55/0.74    0 page faults and
% 0.55/0.74    20,308,568 bytes consed.
% 0.55/0.74  :PROOF-FOUND
% 0.55/0.74  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T04:59:19
% 0.55/0.74  :PROOF-FOUND
% 0.55/0.74  * 
%------------------------------------------------------------------------------