TSTP Solution File: SWC386-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC386-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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 21:58:34 EDT 2022

% Result   : Unsatisfiable 1.52s 1.72s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   24 (   9 unt;  11 nHn;  24 RR)
%            Number of literals    :   43 (  21 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

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

cnf(clause71,axiom,
    ( ~ memberP(nil,X)
    | ~ ssItem(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).

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,
    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,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(190,plain,
    ( ssItem(sk5)
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_7,co1_5,theory(equality)]) ).

cnf(co1_8,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(192,plain,
    ( ssItem(sk5)
    | nil = sk1 ),
    inference('REWRITE',[status(thm)],[co1_8,co1_6,theory(equality)]) ).

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

cnf(194,plain,
    ( cons(sk5,nil) = sk1
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_9,co1_5,co1_6,theory(equality)]) ).

cnf(co1_10,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(196,plain,
    ( memberP(sk2,sk5)
    | nil = sk2 ),
    inference('REWRITE',[status(thm)],[co1_10,co1_5,theory(equality)]) ).

cnf(co1_12,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(200,plain,
    ( memberP(sk2,sk5)
    | nil = sk1 ),
    inference('REWRITE',[status(thm)],[co1_12,co1_6,co1_5,theory(equality)]) ).

cnf(co1_14,negated_conjecture,
    ( nil = sk2
    | ~ ssItem(X)
    | cons(X,nil) != sk1
    | ~ memberP(sk2,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

cnf(co1_15,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

cnf(4476,plain,
    ~ neq(nil,nil),
    inference('UR-RESOLVE',[status(thm)],[clause115,clause8,clause8,theory(equality)]) ).

cnf(8801,plain,
    nil = sk2,
    inference('HYPERRESOLVE',[status(thm)],[co1_14,190,194,196]) ).

cnf(8803,plain,
    ( memberP(nil,sk5)
    | nil = sk1 ),
    inference('REWRITE',[status(thm)],[200,8801,theory(equality)]) ).

cnf(8804,plain,
    nil != sk1,
    inference('REWRITE',[status(thm)],[co1_15,4476,8801,theory(equality)]) ).

cnf(8805,plain,
    ssItem(sk5),
    inference('REWRITE',[status(thm)],[192,8804]) ).

cnf(9027,plain,
    memberP(nil,sk5),
    inference('REWRITE',[status(thm)],[8803,8804]) ).

cnf(9031,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause71,8805]),9027]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC386-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 11:42:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T11:42:56
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-12T11:42:56
% 1.52/1.72  
% 1.52/1.72  
% 1.52/1.72  #||
% 1.52/1.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.52/1.72  % SZS output start Refutation
% See solution above
% 1.52/1.73  ||#
% 1.52/1.73  
% 1.52/1.73  ; Summary of computation:
% 1.52/1.73  ;     13411 formulas have been input or derived (from 139 formulas).
% 1.52/1.73  ;      9031 (67%) were retained.  Of these,
% 1.52/1.73  ;         3187 (35%) were simplified or subsumed later,
% 1.52/1.73  ;         5844 (65%) are still being kept.
% 1.52/1.73  ; 
% 1.52/1.73  ; Run time in seconds excluding printing time:
% 1.52/1.73  ;     0.037   3%   Read assertion file          (1 call)
% 1.52/1.73  ;     0.006   0%   Assert                       (201 calls)
% 1.52/1.73  ;     0.460  37%   Process new row              (13,020 calls)
% 1.52/1.73  ;     0.279  22%   Resolution                   (276 calls)
% 1.52/1.73  ;     0.000   0%   Paramodulation               (138 calls)
% 1.52/1.73  ;     0.000   0%   Factoring                    (7 calls)
% 1.52/1.73  ;     0.014   1%   Condensing                   (1,995 calls)
% 1.52/1.73  ;     0.046   4%   Forward subsumption          (1,995 calls)
% 1.52/1.73  ;     0.051   4%   Backward subsumption         (1,932 calls)
% 1.52/1.73  ;     0.002   0%   Clause clause subsumption    (1,452 calls)
% 1.52/1.73  ;     0.114   9%   Forward simplification       (13,017 calls)
% 1.52/1.73  ;     0.159  13%   Backward simplification      (9,025 calls)
% 1.52/1.73  ;     0.018   1%   Ordering                     (4,924 calls)
% 1.52/1.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.52/1.73  ;     0.000   0%   Purity testing               (1 call)
% 1.52/1.73  ;     0.069   5%   Other
% 1.52/1.73  ;     1.255        Total
% 1.52/1.73  ;     1.257        Real time
% 1.52/1.73  ; 
% 1.52/1.73  ; Term-hash-array has 14,489 terms in all.
% 1.52/1.73  ; Feature-vector-row-index has 1,474 entries (1,853 at peak, 1,932 added, 458 deleted).
% 1.52/1.73  ; Feature-vector-row-index has 1,294 nodes (2,422 at peak, 2,782 added, 1,488 deleted).
% 1.52/1.73  ;  Retrieved 7,623 possibly forward subsuming rows in 1,995 calls.
% 1.52/1.73  ;  Retrieved 7,242 possibly backward subsumed rows in 1,932 calls.
% 1.52/1.73  ; Path-index has 10,309 entries (10,786 at peak, 14,813 added, 4,504 deleted).
% 1.52/1.73  ; Path-index has 5,465 nodes (5,696 at peak, 6,279 added, 814 deleted).
% 1.52/1.73  ; Trie-index has 10,309 entries (10,786 at peak, 14,813 added, 4,504 deleted).
% 1.52/1.73  ; Trie-index has 27,960 nodes (28,772 at peak, 40,631 added, 12,671 deleted).
% 1.52/1.73  ; Retrieved 4,305 generalization terms in 29,221 calls.
% 1.52/1.73  ; Retrieved 7,178 instance terms in 7,092 calls.
% 1.52/1.73  ; Retrieved 666,430 unifiable terms in 14,313 calls.
% 1.52/1.73  ; 
% 1.52/1.73  ; The agenda of rows to process has 351 entries:
% 1.52/1.73  ;     6 with value 5              41 with value 10              94 with value 13
% 1.52/1.73  ;    22 with value 7              27 with value 11              54 with value 15
% 1.52/1.73  ;     5 with value 8              42 with value 12              12 with value 17
% 1.52/1.73  ;    48 with value 9
% 1.52/1.73  ; The agenda of input rows to give has 63 entries:
% 1.52/1.73  ;     3 with value 4               2 with value 23               7 with value 32
% 1.52/1.73  ;     1 with value 7               2 with value 24               1 with value 33
% 1.52/1.73  ;     2 with value 19              8 with value 25               1 with value 35
% 1.52/1.73  ;    12 with value 20              3 with value 26               2 with value 40
% 1.52/1.73  ;     9 with value 21              1 with value 27               3 with value 44
% 1.52/1.73  ;     5 with value 22              1 with value 29
% 1.52/1.73  ; The agenda of rows to give has 5654 entries:
% 1.52/1.73  ;     8 with value (4 4)         141 with value (4 12)         138 with value (4 19)
% 1.52/1.73  ;    33 with value (4 5)         656 with value (4 13)          90 with value (4 20)
% 1.52/1.73  ;    97 with value (4 7)         490 with value (4 14)          21 with value (4 21)
% 1.52/1.73  ;   182 with value (4 8)        1230 with value (4 15)          21 with value (4 24)
% 1.52/1.73  ;   187 with value (4 9)          99 with value (4 16)           6 with value (4 25)
% 1.52/1.73  ;   507 with value (4 10)        996 with value (4 17)           6 with value (4 28)
% 1.52/1.73  ;   341 with value (4 11)        405 with value (4 18)
% 1.52/1.73  Evaluation took:
% 1.52/1.73    1.258 seconds of real time
% 1.52/1.73    1.148624 seconds of user run time
% 1.52/1.73    0.109153 seconds of system run time
% 1.52/1.73    [Run times include 0.153 seconds GC run time.]
% 1.52/1.73    0 calls to %EVAL
% 1.52/1.73    0 page faults and
% 1.52/1.73    104,313,000 bytes consed.
% 1.52/1.73  :PROOF-FOUND
% 1.52/1.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T11:42:57
% 1.52/1.73  :PROOF-FOUND
% 1.52/1.73  * 
%------------------------------------------------------------------------------