TSTP Solution File: SYN575-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 12:01:48 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  11 unt;   1 nHn;  11 RR)
%            Number of literals    :   30 (   0 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p7_2,negated_conjecture,
    p7(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

cnf(p3_3,negated_conjecture,
    p3(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).

cnf(p2_4,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

cnf(p9_5,negated_conjecture,
    p9(c12,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).

cnf(p11_6,negated_conjecture,
    p11(c14,c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).

cnf(p3_8,negated_conjecture,
    p3(f6(f5(X)),f6(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

cnf(p9_10,negated_conjecture,
    ( p9(X,f6(c14))
    | ~ p9(X,c13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_10) ).

cnf(p3_16,negated_conjecture,
    ( p3(X,Y)
    | ~ p3(Z,X)
    | ~ p3(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_16) ).

cnf(p9_19,negated_conjecture,
    ( p9(X,Y)
    | ~ p7(Z,X)
    | ~ p9(Z,U)
    | ~ p3(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).

cnf(p9_21,negated_conjecture,
    ( p9(f8(X,Y),X)
    | p9(f8(X,Y),f6(Y))
    | ~ p11(Z,c15)
    | ~ p9(c12,X)
    | ~ p2(Y,f5(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_21) ).

cnf(not_p11_22,negated_conjecture,
    ( ~ p11(X,c15)
    | ~ p9(c12,Y)
    | ~ p2(Z,f5(X))
    | ~ p9(f8(Y,Z),Y)
    | ~ p9(f8(Y,Z),f6(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_22) ).

cnf(23,plain,
    p9(c12,f6(c14)),
    inference('HYPERRESOLVE',[status(thm)],[p9_10,p9_5]) ).

cnf(24,plain,
    p3(f6(X),f6(f5(X))),
    inference('HYPERRESOLVE',[status(thm)],[p3_16,p3_8,p3_3]) ).

cnf(30,plain,
    p9(c12,f6(f5(c14))),
    inference('HYPERRESOLVE',[status(thm)],[p9_19,24,p7_2,23]) ).

cnf(38,plain,
    p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14))),
    inference('HYPERRESOLVE',[status(thm)],[p9_21,30,p11_6,p2_4]) ).

cnf(39,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_p11_22,30,p11_6,p2_4]),38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SYN575-1 : TPTP v8.1.0. Released v2.5.0.
% 0.05/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 23:18:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:18:23
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-11T23:18:23
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;       105 formulas have been input or derived (from 27 formulas).
% 0.19/0.51  ;        39 (37%) were retained.  Of these,
% 0.19/0.51  ;           39 (100%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.004  11%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.000   0%   Assert                       (22 calls)
% 0.19/0.52  ;     0.003   8%   Process new row              (79 calls)
% 0.19/0.52  ;     0.004  11%   Resolution                   (52 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (26 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (16 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (16 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (16 calls)
% 0.19/0.52  ;     0.000   0%   Forward simplification       (79 calls)
% 0.19/0.52  ;     0.001   3%   Backward simplification      (39 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (6 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.024  67%   Other
% 0.19/0.52  ;     0.036        Total
% 0.19/0.52  ;     0.038        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 90 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 16 entries (16 at peak, 16 added, 0 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 81 nodes (81 at peak, 81 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 0 possibly forward subsuming rows in 16 calls.
% 0.19/0.52  ;  Retrieved 0 possibly backward subsumed rows in 16 calls.
% 0.19/0.52  ; Path-index has 94 entries (94 at peak, 94 added, 0 deleted).
% 0.19/0.52  ; Path-index has 151 nodes (151 at peak, 151 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 94 entries (94 at peak, 94 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 185 nodes (185 at peak, 185 added, 0 deleted).
% 0.19/0.52  ; Retrieved 88 generalization terms in 104 calls.
% 0.19/0.52  ; Retrieved 22 instance terms in 22 calls.
% 0.19/0.52  ; Retrieved 696 unifiable terms in 221 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to give has 12 entries:
% 0.19/0.52  ;     5 with value (4 13)          2 with value (4 16)           1 with value (4 21)
% 0.19/0.52  ;     2 with value (4 15)          1 with value (4 17)           1 with value (4 25)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.038 seconds of real time
% 0.19/0.52    0.029314 seconds of user run time
% 0.19/0.52    0.008935 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    2,665,784 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:18:23
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------