TSTP Solution File: SWC371-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC371-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 21:58:28 EDT 2022

% Result   : Unsatisfiable 61.48s 61.65s
% Output   : Refutation 61.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;  13 RR)
%            Number of literals    :   19 (   7 equ;   7 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   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(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,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    app(sk3,sk5) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(191,plain,
    app(sk1,sk5) = sk2,
    inference('REWRITE',[status(thm)],[co1_8,co1_5,co1_6,theory(equality)]) ).

cnf(co1_11,negated_conjecture,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(632,plain,
    app(nil,sk1) = sk1,
    inference('HYPERRESOLVE',[status(thm)],[clause74,co1_1]) ).

cnf(58647,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause173,co1_7,clause8,co1_1,co1_2,co1_11]),191,632,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC371-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 15:18:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-12T15:18:55
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-12T15:18:55
% 61.48/61.65  
% 61.48/61.65  
% 61.48/61.65  #||
% 61.48/61.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.48/61.65  % SZS output start Refutation
% See solution above
% 61.48/61.65  ||#
% 61.48/61.65  
% 61.48/61.65  ; Summary of computation:
% 61.48/61.65  ;    118523 formulas have been input or derived (from 176 formulas).
% 61.48/61.65  ;     58647 (49%) were retained.  Of these,
% 61.48/61.65  ;         2600 ( 4%) were simplified or subsumed later,
% 61.48/61.65  ;        56047 (96%) are still being kept.
% 61.48/61.65  ; 
% 61.48/61.65  ; Run time in seconds excluding printing time:
% 61.48/61.65  ;     0.037   0%   Read assertion file          (1 call)
% 61.48/61.65  ;     0.007   0%   Assert                       (197 calls)
% 61.48/61.65  ;     5.865  10%   Process new row              (112,814 calls)
% 61.48/61.65  ;    47.599  78%   Resolution                   (350 calls)
% 61.48/61.65  ;     0.048   0%   Paramodulation               (175 calls)
% 61.48/61.65  ;     0.074   0%   Condensing                   (3,497 calls)
% 61.48/61.65  ;     0.052   0%   Forward subsumption          (3,497 calls)
% 61.48/61.65  ;     0.184   0%   Backward subsumption         (3,463 calls)
% 61.48/61.65  ;     0.001   0%   Clause clause subsumption    (1,355 calls)
% 61.48/61.65  ;     2.360   4%   Forward simplification       (112,814 calls)
% 61.48/61.65  ;     3.722   6%   Backward simplification      (58,643 calls)
% 61.48/61.65  ;     0.758   1%   Ordering                     (118,158 calls)
% 61.48/61.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 61.48/61.65  ;     0.001   0%   Purity testing               (1 call)
% 61.48/61.65  ;     0.476   1%   Other
% 61.48/61.65  ;    61.184        Total
% 61.48/61.65  ;    61.184        Real time
% 61.48/61.66  ; 
% 61.48/61.66  ; Term-hash-array has 155,933 terms in all.
% 61.48/61.66  ; Feature-vector-row-index has 3,419 entries (3,419 at peak, 3,463 added, 44 deleted).
% 61.48/61.66  ; Feature-vector-row-index has 5,096 nodes (5,096 at peak, 5,428 added, 332 deleted).
% 61.48/61.66  ;  Retrieved 12,208 possibly forward subsuming rows in 3,497 calls.
% 61.48/61.66  ;  Retrieved 11,580 possibly backward subsumed rows in 3,463 calls.
% 61.48/61.66  ; Path-index has 152,261 entries (152,261 at peak, 156,019 added, 3,758 deleted).
% 61.48/61.66  ; Path-index has 7,360 nodes (7,360 at peak, 7,912 added, 552 deleted).
% 61.48/61.66  ; Trie-index has 152,261 entries (152,261 at peak, 156,019 added, 3,758 deleted).
% 61.48/61.66  ; Trie-index has 731,184 nodes (731,184 at peak, 742,144 added, 10,960 deleted).
% 61.48/61.66  ; Retrieved 102,416 generalization terms in 584,512 calls.
% 61.48/61.66  ; Retrieved 100,311 instance terms in 98,919 calls.
% 61.48/61.66  ; Retrieved 161,758,563 unifiable terms in 3,540,940 calls.
% 61.48/61.66  ; 
% 61.48/61.66  ; The agenda of rows to process has 958 entries:
% 61.48/61.66  ;    12 with value 11            465 with value 14              36 with value 16
% 61.48/61.66  ;    84 with value 12            252 with value 15               1 with value 24
% 61.48/61.66  ;   108 with value 13
% 61.48/61.66  ; The agenda of input rows to give has 18 entries:
% 61.48/61.66  ;     1 with value 26              7 with value 32               1 with value 36
% 61.48/61.66  ;     1 with value 27              1 with value 33               2 with value 40
% 61.48/61.66  ;     1 with value 29              1 with value 35               3 with value 44
% 61.48/61.66  ; The agenda of rows to give has 55854 entries:
% 61.48/61.66  ;    41 with value (4 5)         660 with value (4 14)       12774 with value (4 22)
% 61.48/61.66  ;   105 with value (4 7)        1688 with value (4 15)        2229 with value (4 23)
% 61.48/61.66  ;   191 with value (4 8)         922 with value (4 16)        9354 with value (4 24)
% 61.48/61.66  ;   281 with value (4 9)        2498 with value (4 17)        7305 with value (4 25)
% 61.48/61.66  ;   541 with value (4 10)       2697 with value (4 18)        2466 with value (4 26)
% 61.48/61.66  ;   375 with value (4 11)        246 with value (4 19)        3906 with value (4 27)
% 61.48/61.66  ;   195 with value (4 12)       5154 with value (4 20)         222 with value (4 28)
% 61.48/61.66  ;   786 with value (4 13)        642 with value (4 21)         576 with value (4 29)
% 61.48/61.66  Evaluation took:
% 61.48/61.66    61.188 seconds of real time
% 61.48/61.66    60.01824 seconds of user run time
% 61.48/61.66    1.170835 seconds of system run time
% 61.48/61.66    [Run times include 7.56 seconds GC run time.]
% 61.48/61.66    0 calls to %EVAL
% 61.48/61.66    0 page faults and
% 61.48/61.66    4,818,595,744 bytes consed.
% 61.48/61.66  :PROOF-FOUND
% 61.48/61.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T15:19:56
% 61.48/61.66  :PROOF-FOUND
% 61.48/61.66  * 
%------------------------------------------------------------------------------