TSTP Solution File: SWW412-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW412-1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 01:25:01 EDT 2022

% Result   : Unsatisfiable 200.36s 200.53s
% Output   : Refutation 200.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  13 unt;   2 nHn;  12 RR)
%            Number of literals    :   21 (   8 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   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_4,hypothesis,
    x3 != x2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).

cnf(premise_6,hypothesis,
    x1 != x4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).

cnf(premise_8,hypothesis,
    heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).

cnf(20,plain,
    heap(sep(next(x1,x4),sep(next(x2,x3),sep(lseg(x4,nil),sep(lseg(x3,nil),emp))))),
    inference('REWRITE',[status(thm)],[premise_8,associative_commutative,theory(equality)]) ).

cnf(conclusion_1,negated_conjecture,
    ~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).

cnf(26,plain,
    sep(X,sep(Y,sep(Z,U))) = sep(Z,sep(X,sep(Y,U))),
    inference('PARAMODULATE',[status(thm)],[associative_commutative,associative_commutative,theory(equality)]) ).

cnf(69,plain,
    ~ heap(sep(lseg(x2,X),sep(lseg(X,nil),sep(lseg(x1,nil),emp)))),
    inference('UR-RESOLVE',[status(thm)],[unfolding_3,conclusion_1]) ).

cnf(76,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(358,plain,
    sep(X,sep(Y,sep(Z,U))) = sep(Z,sep(Y,sep(X,U))),
    inference('PARAMODULATE',[status(thm)],[associative_commutative,26,theory(equality)]) ).

cnf(853,plain,
    heap(sep(next(x2,x3),sep(lseg(x1,x4),sep(lseg(x4,nil),sep(lseg(x3,nil),emp))))),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[76,20,premise_6]),associative_commutative,theory(equality)]) ).

cnf(2953,plain,
    heap(sep(lseg(x1,x4),sep(lseg(x4,nil),sep(lseg(x2,x3),sep(lseg(x3,nil),emp))))),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[76,853,premise_4]),associative_commutative,358,theory(equality)]) ).

cnf(5485,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[unfolding_3,2953]),69,associative_commutative,358,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW412-1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun  4 10:37:41 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T10:37:41
% 0.18/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-04T10:37:41
% 200.36/200.53  
% 200.36/200.53  
% 200.36/200.53  #||
% 200.36/200.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 200.36/200.53  % SZS output start Refutation
% See solution above
% 200.36/200.53  ||#
% 200.36/200.53  
% 200.36/200.53  ; Summary of computation:
% 200.36/200.53  ;    101711 formulas have been input or derived (from 760 formulas).
% 200.36/200.53  ;      5485 ( 5%) were retained.  Of these,
% 200.36/200.53  ;          516 ( 9%) were simplified or subsumed later,
% 200.36/200.53  ;         4969 (91%) are still being kept.
% 200.36/200.53  ; 
% 200.36/200.53  ; Run time in seconds excluding printing time:
% 200.36/200.53  ;     0.004   0%   Read assertion file          (1 call)
% 200.36/200.53  ;     0.001   0%   Assert                       (20 calls)
% 200.36/200.53  ;     0.873   0%   Process new row              (97,679 calls)
% 200.36/200.53  ;     0.390   0%   Resolution                   (1,518 calls)
% 200.36/200.53  ;     1.403   1%   Paramodulation               (759 calls)
% 200.36/200.53  ;     0.042   0%   Condensing                   (2,198 calls)
% 200.36/200.53  ;     0.090   0%   Forward subsumption          (2,198 calls)
% 200.36/200.53  ;     0.008   0%   Backward subsumption         (271 calls)
% 200.36/200.53  ;     0.017   0%   Clause clause subsumption    (4,151 calls)
% 200.36/200.53  ;    43.382  22%   Forward simplification       (97,679 calls)
% 200.36/200.53  ;     2.126   1%   Backward simplification      (5,484 calls)
% 200.36/200.53  ;   151.329  76%   Ordering                     (17,419,240 calls)
% 200.36/200.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 200.36/200.53  ;     0.000   0%   Purity testing               (1 call)
% 200.36/200.53  ;     0.404   0%   Other
% 200.36/200.53  ;   200.069        Total
% 200.36/200.53  ;   200.067        Real time
% 200.36/200.53  ; 
% 200.36/200.53  ; Term-hash-array has 20,862 terms in all.
% 200.36/200.53  ; Feature-vector-row-index has 271 entries (271 at peak, 271 added, 0 deleted).
% 200.36/200.53  ; Feature-vector-row-index has 790 nodes (790 at peak, 790 added, 0 deleted).
% 200.36/200.53  ;  Retrieved 5,103 possibly forward subsuming rows in 2,198 calls.
% 200.36/200.53  ;  Retrieved 805 possibly backward subsumed rows in 271 calls.
% 200.36/200.53  ; Path-index has 19,446 entries (19,446 at peak, 20,894 added, 1,448 deleted).
% 200.36/200.53  ; Path-index has 600 nodes (600 at peak, 609 added, 9 deleted).
% 200.36/200.53  ; Trie-index has 19,446 entries (19,446 at peak, 20,894 added, 1,448 deleted).
% 200.36/200.53  ; Trie-index has 54,272 nodes (54,272 at peak, 67,416 added, 13,144 deleted).
% 200.36/200.53  ; Retrieved 1,703,016 generalization terms in 663,448 calls.
% 200.36/200.53  ; Retrieved 552,413 instance terms in 5,748 calls.
% 200.36/200.53  ; Retrieved 461,274 unifiable terms in 12,559 calls.
% 200.36/200.53  ; 
% 200.36/200.53  ; The agenda of rows to process has 38 entries:
% 200.36/200.53  ;    38 with value 28
% 200.36/200.53  ; The agenda of rows to give has 4209 entries:
% 200.36/200.53  ;   597 with value (4 28)        270 with value (4 37)          15 with value (4 46)
% 200.36/200.53  ;   162 with value (4 29)         73 with value (4 38)          17 with value (4 47)
% 200.36/200.53  ;   252 with value (4 30)          3 with value (4 39)           9 with value (4 48)
% 200.36/200.53  ;  1119 with value (4 31)         10 with value (4 40)           4 with value (4 50)
% 200.36/200.53  ;   199 with value (4 32)         26 with value (4 41)           9 with value (4 51)
% 200.36/200.53  ;   382 with value (4 33)        130 with value (4 42)           6 with value (4 52)
% 200.36/200.53  ;   463 with value (4 34)        213 with value (4 43)           1 with value (4 54)
% 200.36/200.53  ;    58 with value (4 35)          9 with value (4 44)           1 with value (4 58)
% 200.36/200.53  ;   169 with value (4 36)         12 with value (4 45)
% 200.36/200.53  Evaluation took:
% 200.36/200.53    200.068 seconds of real time
% 200.36/200.53    181.31625 seconds of user run time
% 200.36/200.53    18.755816 seconds of system run time
% 200.36/200.53    [Run times include 8.561 seconds GC run time.]
% 200.36/200.53    0 calls to %EVAL
% 200.36/200.53    0 page faults and
% 200.36/200.53    12,854,705,336 bytes consed.
% 200.36/200.53  :PROOF-FOUND
% 200.36/200.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-04T10:41:01
% 200.36/200.53  :PROOF-FOUND
% 200.36/200.53  * 
%------------------------------------------------------------------------------