TSTP Solution File: SYN624-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN624-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 12:02:08 EDT 2022

% Result   : Unsatisfiable 0.42s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   4 RR)
%            Number of literals    :   14 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p10_1,negated_conjecture,
    p10(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).

cnf(p5_2,negated_conjecture,
    p5(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).

cnf(p10_11,negated_conjecture,
    p10(f16(X,f14(f15(f7(c25)))),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_11) ).

cnf(p10_21,negated_conjecture,
    ( p10(X,Y)
    | ~ p10(Z,X)
    | ~ p10(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_21) ).

cnf(p10_26,negated_conjecture,
    p10(f13(f6(c22),X),f13(f6(c24),f16(c26,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).

cnf(not_p10_28,negated_conjecture,
    ~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_28) ).

cnf(p10_32,negated_conjecture,
    ( p10(f13(X,Y),f13(Z,U))
    | ~ p10(Y,U)
    | ~ p5(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_32) ).

cnf(46,plain,
    p10(f13(f6(c24),f16(c26,X)),f13(f6(c22),X)),
    inference('HYPERRESOLVE',[status(thm)],[p10_21,p10_26,p10_1]) ).

cnf(51,plain,
    p10(f13(X,f16(Y,f14(f15(f7(c25))))),f13(X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[p10_32,p10_11,p5_2]) ).

cnf(210,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p10_21,46,not_p10_28]),51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN624-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n006.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 : Tue Jul 12 07:25:05 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T07:25:05
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-12T07:25:05
% 0.42/0.58  
% 0.42/0.58  
% 0.42/0.58  #||
% 0.42/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58  % SZS output start Refutation
% See solution above
% 0.42/0.58  ||#
% 0.42/0.58  
% 0.42/0.58  ; Summary of computation:
% 0.42/0.58  ;       690 formulas have been input or derived (from 64 formulas).
% 0.42/0.58  ;       210 (30%) were retained.  Of these,
% 0.42/0.58  ;          210 (100%) are still being kept.
% 0.42/0.58  ; 
% 0.42/0.58  ; Run time in seconds excluding printing time:
% 0.42/0.58  ;     0.006   7%   Read assertion file          (1 call)
% 0.42/0.58  ;     0.001   1%   Assert                       (35 calls)
% 0.42/0.58  ;     0.024  29%   Process new row              (522 calls)
% 0.42/0.58  ;     0.018  22%   Resolution                   (126 calls)
% 0.42/0.58  ;     0.000   0%   Paramodulation               (63 calls)
% 0.42/0.58  ;     0.000   0%   Condensing                   (21 calls)
% 0.42/0.58  ;     0.000   0%   Forward subsumption          (21 calls)
% 0.42/0.58  ;     0.000   0%   Backward subsumption         (21 calls)
% 0.42/0.58  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.42/0.58  ;     0.005   6%   Forward simplification       (522 calls)
% 0.42/0.58  ;     0.003   4%   Backward simplification      (210 calls)
% 0.42/0.58  ;     0.000   0%   Ordering                     (2 calls)
% 0.42/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.42/0.58  ;     0.001   1%   Purity testing               (1 call)
% 0.42/0.58  ;     0.024  29%   Other
% 0.42/0.58  ;     0.082        Total
% 0.42/0.58  ;     0.084        Real time
% 0.42/0.58  ; 
% 0.42/0.58  ; Term-hash-array has 497 terms in all.
% 0.42/0.58  ; Feature-vector-row-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.42/0.58  ; Feature-vector-row-index has 72 nodes (72 at peak, 72 added, 0 deleted).
% 0.42/0.58  ;  Retrieved 1 possibly forward subsuming row in 21 calls.
% 0.42/0.58  ;  Retrieved 0 possibly backward subsumed rows in 21 calls.
% 0.42/0.58  ; Path-index has 502 entries (502 at peak, 502 added, 0 deleted).
% 0.42/0.58  ; Path-index has 1,275 nodes (1,275 at peak, 1,275 added, 0 deleted).
% 0.42/0.58  ; Trie-index has 502 entries (502 at peak, 502 added, 0 deleted).
% 0.42/0.58  ; Trie-index has 2,143 nodes (2,143 at peak, 2,143 added, 0 deleted).
% 0.42/0.58  ; Retrieved 634 generalization terms in 549 calls.
% 0.42/0.58  ; Retrieved 188 instance terms in 188 calls.
% 0.42/0.58  ; Retrieved 10,008 unifiable terms in 2,438 calls.
% 0.42/0.58  ; 
% 0.42/0.58  ; The agenda of rows to process has 32 entries:
% 0.42/0.58  ;     4 with value 23              4 with value 27               8 with value 29
% 0.42/0.58  ;     4 with value 26             12 with value 28
% 0.42/0.58  ; The agenda of rows to give has 146 entries:
% 0.42/0.58  ;    13 with value (4 15)         22 with value (4 20)          12 with value (4 25)
% 0.42/0.58  ;     4 with value (4 16)          9 with value (4 21)          10 with value (4 26)
% 0.42/0.58  ;     5 with value (4 17)          4 with value (4 23)           4 with value (4 27)
% 0.42/0.58  ;    46 with value (4 18)          5 with value (4 24)           5 with value (4 28)
% 0.42/0.58  ;     7 with value (4 19)
% 0.42/0.58  Evaluation took:
% 0.42/0.58    0.084 seconds of real time
% 0.42/0.58    0.074674 seconds of user run time
% 0.42/0.58    0.009681 seconds of system run time
% 0.42/0.58    0 calls to %EVAL
% 0.42/0.58    0 page faults and
% 0.42/0.58    4,953,792 bytes consed.
% 0.42/0.58  :PROOF-FOUND
% 0.42/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T07:25:05
% 0.42/0.58  :PROOF-FOUND
% 0.42/0.58  * 
%------------------------------------------------------------------------------