TSTP Solution File: SYN070-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN070-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 11:57:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (   9 unt;   5 nHn;  17 RR)
%            Number of literals    :   36 (   0 equ;  17 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( ~ big_f(X)
    | big_f(f(X))
    | big_g(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,axiom,
    ( ~ big_f(X)
    | big_h(f(X),X)
    | big_g(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,axiom,
    ( ~ big_f(X)
    | ~ big_g(f(X))
    | big_g(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_4,axiom,
    ( ~ big_f(X)
    | big_g(X)
    | big_f(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_5,axiom,
    ( ~ big_f(X)
    | big_g(X)
    | ~ big_g(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,axiom,
    ( ~ big_f(X)
    | big_g(X)
    | ~ big_f(Y)
    | big_g(Y)
    | big_j(a,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(7,plain,
    ( ~ big_f(X)
    | big_g(X)
    | big_j(a,X) ),
    inference('CONDENSE',[status(thm)],[clause_6]) ).

cnf(clause_7,axiom,
    ( ~ big_f(X)
    | ~ big_f(Y)
    | ~ big_h(X,Y)
    | ~ big_j(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(clause_8,negated_conjecture,
    big_f(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

cnf(clause_9,negated_conjecture,
    ~ big_g(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).

cnf(11,plain,
    big_f(a),
    inference('UR-RESOLVE',[status(thm)],[clause_4,clause_8,clause_9]) ).

cnf(12,plain,
    ~ big_g(a),
    inference('UR-RESOLVE',[status(thm)],[clause_5,clause_8,clause_9]) ).

cnf(18,plain,
    big_f(f(a)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_1,11]),12]) ).

cnf(19,plain,
    big_h(f(a),a),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause_2,11]),12]) ).

cnf(20,plain,
    ~ big_g(f(a)),
    inference('UR-RESOLVE',[status(thm)],[clause_3,12,11]) ).

cnf(28,plain,
    big_j(a,f(a)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,18]),20]) ).

cnf(32,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_7,19,18,11]),28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN070-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.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 : Mon Jul 11 13:25:49 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 2022-07-11T13:25:49
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-11T13:25:49
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        45 formulas have been input or derived (from 22 formulas).
% 0.19/0.50  ;        32 (71%) were retained.  Of these,
% 0.19/0.50  ;            3 ( 9%) were simplified or subsumed later,
% 0.19/0.50  ;           29 (91%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.001   3%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (9 calls)
% 0.19/0.50  ;     0.003  10%   Process new row              (44 calls)
% 0.19/0.50  ;     0.002   7%   Resolution                   (42 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (21 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (7 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (7 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (7 calls)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (43 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (31 calls)
% 0.19/0.50  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.022  73%   Other
% 0.19/0.50  ;     0.030        Total
% 0.19/0.50  ;     0.033        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 37 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 5 entries (7 at peak, 7 added, 2 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 16 nodes (26 at peak, 26 added, 10 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.19/0.50  ; Path-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.19/0.50  ; Path-index has 63 nodes (63 at peak, 63 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 66 nodes (66 at peak, 66 added, 0 deleted).
% 0.19/0.50  ; Retrieved 25 generalization terms in 44 calls.
% 0.19/0.50  ; Retrieved 23 instance terms in 23 calls.
% 0.19/0.50  ; Retrieved 366 unifiable terms in 287 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to give has 9 entries:
% 0.19/0.50  ;     2 with value (4 8)           2 with value (4 10)           1 with value (4 12)
% 0.19/0.50  ;     3 with value (4 9)           1 with value (4 11)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.033 seconds of real time
% 0.19/0.50    0.028657 seconds of user run time
% 0.19/0.50    0.003982 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,399,016 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T13:25:49
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------