TSTP Solution File: SWC124-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC124-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 21:57:02 EDT 2022

% Result   : Unsatisfiable 65.19s 65.41s
% Output   : Refutation 65.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   23 (  15 unt;   2 nHn;  23 RR)
%            Number of literals    :   39 (  16 equ;  19 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   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   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause74,axiom,
    ( ~ ssList(X)
    | app(nil,X) = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(clause100,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | neq(Y,X)
    | Y = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

cnf(clause115,axiom,
    ( Y != X
    | ~ neq(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(clause173,axiom,
    ( app(app(X,Y),Z) != U
    | ~ ssList(Z)
    | ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(U)
    | segmentP(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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_8,negated_conjecture,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_9,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/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/sandbox2/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)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(633,plain,
    app(nil,sk1) = sk1,
    inference('HYPERRESOLVE',[status(thm)],[clause74,co1_1]) ).

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,
    ~ segmentP(sk2,sk1),
    inference('REWRITE',[status(thm)],[co1_13,4509]) ).

cnf(59064,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause173,co1_8,clause8,co1_1,co1_2,4510]),192,633,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC124-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n006.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 07:29:27 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:29:27
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-12T07:29:27
% 65.19/65.41  
% 65.19/65.41  
% 65.19/65.41  #||
% 65.19/65.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.19/65.41  % SZS output start Refutation
% See solution above
% 65.19/65.41  ||#
% 65.19/65.41  
% 65.19/65.41  ; Summary of computation:
% 65.19/65.41  ;    119374 formulas have been input or derived (from 179 formulas).
% 65.19/65.41  ;     59064 (49%) were retained.  Of these,
% 65.19/65.41  ;         2613 ( 4%) were simplified or subsumed later,
% 65.19/65.41  ;        56451 (96%) are still being kept.
% 65.19/65.41  ; 
% 65.19/65.41  ; Run time in seconds excluding printing time:
% 65.19/65.41  ;     0.037   0%   Read assertion file          (1 call)
% 65.19/65.41  ;     0.007   0%   Assert                       (198 calls)
% 65.19/65.41  ;     6.340  10%   Process new row              (113,662 calls)
% 65.19/65.41  ;    51.252  79%   Resolution                   (356 calls)
% 65.19/65.41  ;     0.045   0%   Paramodulation               (178 calls)
% 65.19/65.41  ;     0.035   0%   Condensing                   (3,365 calls)
% 65.19/65.41  ;     0.052   0%   Forward subsumption          (3,365 calls)
% 65.19/65.41  ;     0.143   0%   Backward subsumption         (3,333 calls)
% 65.19/65.41  ;     0.003   0%   Clause clause subsumption    (1,351 calls)
% 65.19/65.41  ;     2.261   3%   Forward simplification       (113,662 calls)
% 65.19/65.41  ;     3.781   6%   Backward simplification      (59,060 calls)
% 65.19/65.41  ;     0.546   1%   Ordering                     (118,039 calls)
% 65.19/65.41  ;     0.000   0%   Sortal reasoning             (32 calls)
% 65.19/65.41  ;     0.001   0%   Purity testing               (1 call)
% 65.19/65.41  ;     0.399   1%   Other
% 65.19/65.41  ;    64.902        Total
% 65.19/65.41  ;    64.938        Real time
% 65.19/65.41  ; 
% 65.19/65.41  ; Term-hash-array has 156,370 terms in all.
% 65.19/65.41  ; Feature-vector-row-index has 3,280 entries (3,280 at peak, 3,333 added, 53 deleted).
% 65.19/65.41  ; Feature-vector-row-index has 4,563 nodes (4,563 at peak, 4,926 added, 363 deleted).
% 65.19/65.41  ;  Retrieved 12,117 possibly forward subsuming rows in 3,365 calls.
% 65.19/65.41  ;  Retrieved 11,491 possibly backward subsumed rows in 3,333 calls.
% 65.19/65.41  ; Path-index has 152,695 entries (152,695 at peak, 156,469 added, 3,774 deleted).
% 65.19/65.41  ; Path-index has 7,357 nodes (7,357 at peak, 7,922 added, 565 deleted).
% 65.19/65.41  ; Trie-index has 152,695 entries (152,695 at peak, 156,469 added, 3,774 deleted).
% 65.19/65.41  ; Trie-index has 732,346 nodes (732,346 at peak, 743,327 added, 10,981 deleted).
% 65.19/65.41  ; Retrieved 103,724 generalization terms in 589,278 calls.
% 65.19/65.41  ; Retrieved 100,858 instance terms in 99,466 calls.
% 65.19/65.41  ; Retrieved 161,804,876 unifiable terms in 3,541,115 calls.
% 65.19/65.41  ; 
% 65.19/65.41  ; The agenda of rows to process has 958 entries:
% 65.19/65.41  ;    12 with value 11            465 with value 14              36 with value 16
% 65.19/65.41  ;    84 with value 12            252 with value 15               1 with value 24
% 65.19/65.41  ;   108 with value 13
% 65.19/65.41  ; The agenda of input rows to give has 18 entries:
% 65.19/65.41  ;     1 with value 26              7 with value 32               1 with value 36
% 65.19/65.41  ;     1 with value 27              1 with value 33               2 with value 40
% 65.19/65.41  ;     1 with value 29              1 with value 35               3 with value 44
% 65.19/65.41  ; The agenda of rows to give has 56257 entries:
% 65.19/65.41  ;    51 with value (4 5)         704 with value (4 14)       12762 with value (4 22)
% 65.19/65.41  ;     3 with value (4 6)        1708 with value (4 15)        2229 with value (4 23)
% 65.19/65.41  ;   105 with value (4 7)        1189 with value (4 16)        9354 with value (4 24)
% 65.19/65.41  ;   199 with value (4 8)        2451 with value (4 17)        7305 with value (4 25)
% 65.19/65.41  ;   273 with value (4 9)        2695 with value (4 18)        2466 with value (4 26)
% 65.19/65.41  ;   579 with value (4 10)        246 with value (4 19)        3906 with value (4 27)
% 65.19/65.41  ;   439 with value (4 11)       5112 with value (4 20)         222 with value (4 28)
% 65.19/65.41  ;   194 with value (4 12)        642 with value (4 21)         576 with value (4 29)
% 65.19/65.41  ;   847 with value (4 13)
% 65.19/65.41  Evaluation took:
% 65.19/65.41    64.941 seconds of real time
% 65.19/65.41    63.63684 seconds of user run time
% 65.19/65.41    1.270621 seconds of system run time
% 65.19/65.41    [Run times include 8.44 seconds GC run time.]
% 65.19/65.41    0 calls to %EVAL
% 65.19/65.41    0 page faults and
% 65.19/65.41    4,820,741,080 bytes consed.
% 65.19/65.41  :PROOF-FOUND
% 65.19/65.41  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T07:30:32
% 65.19/65.41  :PROOF-FOUND
% 65.19/65.41  * 
%------------------------------------------------------------------------------