TSTP Solution File: SWC206-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC206-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 21:57:32 EDT 2022

% Result   : Unsatisfiable 0.91s 1.10s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  14 unt;   1 nHn;  19 RR)
%            Number of literals    :   27 (   6 equ;   9 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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause80,axiom,
    ( ~ segmentP(nil,X)
    | ~ ssList(X)
    | nil = X ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).

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

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

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,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_10,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(194,plain,
    ssList(sk5),
    inference('REWRITE',[status(thm)],[co1_10,co1_7,co1_5,theory(equality)]) ).

cnf(co1_11,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(196,plain,
    neq(sk5,nil),
    inference('REWRITE',[status(thm)],[co1_11,co1_7,co1_5,theory(equality)]) ).

cnf(co1_13,negated_conjecture,
    ( segmentP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

cnf(200,plain,
    segmentP(sk1,sk5),
    inference('REWRITE',[status(thm)],[co1_13,co1_7,co1_5,co1_6,theory(equality)]) ).

cnf(3246,plain,
    nil = sk1,
    inference('UR-RESOLVE',[status(thm)],[clause100,clause8,co1_1,co1_8]) ).

cnf(3248,plain,
    ~ neq(nil,nil),
    inference('REWRITE',[status(thm)],[co1_8,3246,theory(equality)]) ).

cnf(3249,plain,
    segmentP(nil,sk5),
    inference('REWRITE',[status(thm)],[200,3246,theory(equality)]) ).

cnf(4145,plain,
    nil = sk5,
    inference('HYPERRESOLVE',[status(thm)],[clause80,3249,194]) ).

cnf(4146,plain,
    $false,
    inference('REWRITE',[status(thm)],[196,3248,4145,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWC206-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.09  % Command  : run-snark %s %d
% 0.08/0.29  % Computer : n026.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 18:28:35 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.13/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  * 
% 0.13/0.38  * 
% 0.13/0.38  #<PACKAGE "SNARK-USER">
% 0.13/0.38  * 
% 0.13/0.38  SNARK-TPTP-OPTIONS
% 0.13/0.38  * 
% 0.13/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38   (USE-FACTORING :POS)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38  * 
% 0.13/0.38  "."
% 0.13/0.38  * 
% 0.13/0.38  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T18:28:35
% 0.13/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-12T18:28:35
% 0.91/1.10  
% 0.91/1.10  
% 0.91/1.10  #||
% 0.91/1.10  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.10  % SZS output start Refutation
% See solution above
% 0.91/1.10  ||#
% 0.91/1.10  
% 0.91/1.10  ; Summary of computation:
% 0.91/1.10  ;      6510 formulas have been input or derived (from 111 formulas).
% 0.91/1.10  ;      4146 (64%) were retained.  Of these,
% 0.91/1.10  ;          317 ( 8%) were simplified or subsumed later,
% 0.91/1.10  ;         3829 (92%) are still being kept.
% 0.91/1.10  ; 
% 0.91/1.10  ; Run time in seconds excluding printing time:
% 0.91/1.10  ;     0.034   5%   Read assertion file          (1 call)
% 0.91/1.10  ;     0.005   1%   Assert                       (198 calls)
% 0.91/1.10  ;     0.284  40%   Process new row              (6,316 calls)
% 0.91/1.10  ;     0.128  18%   Resolution                   (220 calls)
% 0.91/1.10  ;     0.000   0%   Paramodulation               (110 calls)
% 0.91/1.10  ;     0.013   2%   Condensing                   (1,176 calls)
% 0.91/1.10  ;     0.018   3%   Forward subsumption          (1,176 calls)
% 0.91/1.10  ;     0.038   5%   Backward subsumption         (1,174 calls)
% 0.91/1.10  ;     0.031   4%   Clause clause subsumption    (985 calls)
% 0.91/1.10  ;     0.058   8%   Forward simplification       (6,255 calls)
% 0.91/1.10  ;     0.051   7%   Backward simplification      (4,141 calls)
% 0.91/1.10  ;     0.000   0%   Ordering                     (207 calls)
% 0.91/1.10  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.91/1.10  ;     0.001   0%   Purity testing               (1 call)
% 0.91/1.10  ;     0.051   7%   Other
% 0.91/1.10  ;     0.712        Total
% 0.91/1.10  ;     0.713        Real time
% 0.91/1.10  ; 
% 0.91/1.10  ; Term-hash-array has 6,803 terms in all.
% 0.91/1.10  ; Feature-vector-row-index has 1,106 entries (1,168 at peak, 1,174 added, 68 deleted).
% 0.91/1.10  ; Feature-vector-row-index has 1,045 nodes (1,097 at peak, 1,120 added, 75 deleted).
% 0.91/1.10  ;  Retrieved 4,865 possibly forward subsuming rows in 1,176 calls.
% 0.91/1.10  ;  Retrieved 4,829 possibly backward subsumed rows in 1,174 calls.
% 0.91/1.10  ; Path-index has 6,308 entries (6,599 at peak, 6,812 added, 504 deleted).
% 0.91/1.10  ; Path-index has 3,482 nodes (3,512 at peak, 3,545 added, 63 deleted).
% 0.91/1.10  ; Trie-index has 6,308 entries (6,599 at peak, 6,812 added, 504 deleted).
% 0.91/1.10  ; Trie-index has 14,885 nodes (15,305 at peak, 15,615 added, 730 deleted).
% 0.91/1.10  ; Retrieved 2,287 generalization terms in 8,969 calls.
% 0.91/1.10  ; Retrieved 2,966 instance terms in 2,966 calls.
% 0.91/1.10  ; Retrieved 236,558 unifiable terms in 5,355 calls.
% 0.91/1.10  ; 
% 0.91/1.10  ; The agenda of backward simplifiable rows to process has 176 entries:
% 0.91/1.10  ;   176 with value 0
% 0.91/1.10  ; The agenda of input rows to give has 86 entries:
% 0.91/1.10  ;    11 with value 14              9 with value 21               1 with value 29
% 0.91/1.10  ;     3 with value 15              5 with value 22               1 with value 32
% 0.91/1.10  ;     3 with value 16              2 with value 23               1 with value 33
% 0.91/1.10  ;     4 with value 17              3 with value 24               1 with value 35
% 0.91/1.10  ;     7 with value 18              8 with value 25               2 with value 40
% 0.91/1.10  ;     2 with value 19              3 with value 26               3 with value 44
% 0.91/1.10  ;    11 with value 20              6 with value 27
% 0.91/1.10  ; The agenda of rows to give has 3641 entries:
% 0.91/1.10  ;    19 with value (4 5)         755 with value (4 11)         465 with value (4 15)
% 0.91/1.10  ;    98 with value (4 7)         441 with value (4 12)          54 with value (4 16)
% 0.91/1.10  ;   135 with value (4 8)         108 with value (4 13)         252 with value (4 17)
% 0.91/1.10  ;   241 with value (4 9)         132 with value (4 14)          48 with value (4 19)
% 0.91/1.10  ;   893 with value (4 10)
% 0.91/1.10  Evaluation took:
% 0.91/1.10    0.714 seconds of real time
% 0.91/1.10    0.654272 seconds of user run time
% 0.91/1.10    0.059996 seconds of system run time
% 0.91/1.10    [Run times include 0.072 seconds GC run time.]
% 0.91/1.10    0 calls to %EVAL
% 0.91/1.10    0 page faults and
% 0.91/1.10    40,689,880 bytes consed.
% 0.91/1.10  :PROOF-FOUND
% 0.91/1.10  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T18:28:36
% 0.91/1.10  :PROOF-FOUND
% 0.91/1.10  * 
%------------------------------------------------------------------------------