TSTP Solution File: SWW400-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW400-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 : Thu Jul 21 01:25:00 EDT 2022

% Result   : Unsatisfiable 0.78s 0.98s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   2 nHn;   8 RR)
%            Number of literals    :   15 (   5 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associative_commutative,axiom,
    sep(X,sep(Y,Z)) = sep(Y,sep(X,Z)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

cnf(normalization,axiom,
    sep(lseg(X,X),Y) = Y,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',normalization) ).

cnf(unfolding_2,axiom,
    ( ~ heap(sep(next(X,Y),sep(lseg(Y,Z),U)))
    | X = Y
    | heap(sep(lseg(X,Z),U)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).

cnf(unfolding_3,axiom,
    ( ~ heap(sep(lseg(X,Y),sep(lseg(Y,nil),Z)))
    | heap(sep(lseg(X,nil),Z)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).

cnf(premise_2,hypothesis,
    nil != x2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).

cnf(premise_3,hypothesis,
    heap(sep(next(x2,nil),sep(lseg(x1,x2),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x1,nil),emp)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).

cnf(29,plain,
    ~ heap(sep(lseg(x1,X),sep(lseg(X,nil),emp))),
    inference('UR-RESOLVE',[status(thm)],[unfolding_3,conclusion_1]) ).

cnf(33,plain,
    ( ~ heap(sep(next(X,Y),Z))
    | X = Y
    | heap(sep(lseg(X,Y),Z)) ),
    inference('PARAMODULATE',[status(thm)],[unfolding_2,normalization,theory(equality)]) ).

cnf(274,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[33,premise_3,premise_2]),29,associative_commutative,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW400-1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun  5 10:29:20 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T10:29:20
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-05T10:29:20
% 0.78/0.98  
% 0.78/0.98  
% 0.78/0.98  #||
% 0.78/0.98  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.98  % SZS output start Refutation
% See solution above
% 0.83/0.98  ||#
% 0.83/0.98  
% 0.83/0.98  ; Summary of computation:
% 0.83/0.98  ;      2056 formulas have been input or derived (from 85 formulas).
% 0.83/0.98  ;       274 (13%) were retained.  Of these,
% 0.83/0.98  ;            6 ( 2%) were simplified or subsumed later,
% 0.83/0.98  ;          268 (98%) are still being kept.
% 0.83/0.98  ; 
% 0.83/0.98  ; Run time in seconds excluding printing time:
% 0.83/0.98  ;     0.004   1%   Read assertion file          (1 call)
% 0.83/0.98  ;     0.000   0%   Assert                       (15 calls)
% 0.83/0.98  ;     0.038   8%   Process new row              (1,773 calls)
% 0.83/0.98  ;     0.015   3%   Resolution                   (168 calls)
% 0.83/0.98  ;     0.033   7%   Paramodulation               (84 calls)
% 0.83/0.98  ;     0.005   1%   Condensing                   (195 calls)
% 0.83/0.98  ;     0.009   2%   Forward subsumption          (195 calls)
% 0.83/0.98  ;     0.006   1%   Backward subsumption         (63 calls)
% 0.83/0.98  ;     0.001   0%   Clause clause subsumption    (284 calls)
% 0.83/0.98  ;     0.124  25%   Forward simplification       (1,773 calls)
% 0.83/0.98  ;     0.014   3%   Backward simplification      (274 calls)
% 0.83/0.98  ;     0.224  45%   Ordering                     (27,434 calls)
% 0.83/0.98  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.83/0.98  ;     0.000   0%   Purity testing               (1 call)
% 0.83/0.98  ;     0.026   5%   Other
% 0.83/0.98  ;     0.500        Total
% 0.83/0.98  ;     0.506        Real time
% 0.83/0.98  ; 
% 0.83/0.98  ; Term-hash-array has 1,171 terms in all.
% 0.83/0.98  ; Feature-vector-row-index has 63 entries (63 at peak, 63 added, 0 deleted).
% 0.83/0.98  ; Feature-vector-row-index has 381 nodes (381 at peak, 381 added, 0 deleted).
% 0.83/0.98  ;  Retrieved 325 possibly forward subsuming rows in 195 calls.
% 0.83/0.98  ;  Retrieved 42 possibly backward subsumed rows in 63 calls.
% 0.83/0.98  ; Path-index has 1,158 entries (1,158 at peak, 1,175 added, 17 deleted).
% 0.83/0.98  ; Path-index has 349 nodes (349 at peak, 349 added, 0 deleted).
% 0.83/0.98  ; Trie-index has 1,158 entries (1,158 at peak, 1,175 added, 17 deleted).
% 0.83/0.98  ; Trie-index has 2,848 nodes (2,848 at peak, 2,951 added, 103 deleted).
% 0.83/0.98  ; Retrieved 14,414 generalization terms in 8,847 calls.
% 0.83/0.98  ; Retrieved 1,694 instance terms in 239 calls.
% 0.83/0.98  ; Retrieved 9,568 unifiable terms in 1,033 calls.
% 0.83/0.98  ; 
% 0.83/0.98  ; The agenda of rows to process has 95 entries:
% 0.83/0.98  ;     8 with value 17             40 with value 23               1 with value 34
% 0.83/0.98  ;     7 with value 20              4 with value 24               3 with value 35
% 0.83/0.98  ;     8 with value 21              8 with value 25               2 with value 36
% 0.83/0.98  ;    12 with value 22              2 with value 29
% 0.83/0.98  ; The agenda of rows to give has 183 entries:
% 0.83/0.98  ;    14 with value (4 23)          5 with value (4 31)           3 with value (4 39)
% 0.83/0.98  ;    11 with value (4 24)         11 with value (4 32)           6 with value (4 40)
% 0.83/0.98  ;    27 with value (4 25)          1 with value (4 33)           3 with value (4 41)
% 0.83/0.98  ;    26 with value (4 26)          4 with value (4 34)           3 with value (4 44)
% 0.83/0.98  ;    11 with value (4 27)          4 with value (4 35)           2 with value (4 45)
% 0.83/0.98  ;    24 with value (4 28)          3 with value (4 36)           1 with value (4 47)
% 0.83/0.98  ;    17 with value (4 29)          1 with value (4 37)           1 with value (4 51)
% 0.83/0.98  ;     3 with value (4 30)          2 with value (4 38)
% 0.83/0.98  Evaluation took:
% 0.83/0.98    0.506 seconds of real time
% 0.83/0.98    0.438115 seconds of user run time
% 0.83/0.98    0.067797 seconds of system run time
% 0.83/0.98    [Run times include 0.01 seconds GC run time.]
% 0.83/0.98    0 calls to %EVAL
% 0.83/0.98    0 page faults and
% 0.83/0.98    25,873,224 bytes consed.
% 0.83/0.98  :PROOF-FOUND
% 0.83/0.98  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T10:29:21
% 0.83/0.98  :PROOF-FOUND
% 0.83/0.98  * 
%------------------------------------------------------------------------------