TSTP Solution File: SYN625-1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (   9 unt;   4 nHn;  15 RR)
%            Number of literals    :   27 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-5 aty)
%            Number of variables   :   24 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c21_is_p15_1,negated_conjecture,
    p15(c21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c21_is_p15_1) ).

cnf(f4_is_not_p15_8,negated_conjecture,
    ~ p15(f4(f7(c19,c20),c21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f4_is_not_p15_8) ).

cnf(not_p15_10,negated_conjecture,
    ( ~ p15(X)
    | ~ p18(f9(X),Y,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_10) ).

cnf(p15_15,negated_conjecture,
    ( p15(X)
    | p18(f9(X),f14(X),f14(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_15) ).

cnf(not_p17_16,negated_conjecture,
    ( ~ p17(X,f11(c20))
    | ~ p16(f9(c21),X,c19) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_16) ).

cnf(p16_23,negated_conjecture,
    ( p16(X,Y,Z)
    | ~ p16(X,Y,U)
    | ~ p16(X,U,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_23) ).

cnf(p16_32,negated_conjecture,
    ( p16(f9(X),Y,Z)
    | p18(f9(X),Y,U)
    | ~ p18(f9(f4(f7(Z,V),X)),Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_32) ).

cnf(p18_33,negated_conjecture,
    ( p18(f9(X),Y,Z)
    | p17(f12(X,U,V,Y,Z),f11(V))
    | ~ p18(f9(f4(f7(U,V),X)),Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_33) ).

cnf(p18_34,negated_conjecture,
    ( p18(f9(X),Y,Z)
    | p16(f9(X),f12(X,U,V,Y,Z),Z)
    | ~ p18(f9(f4(f7(U,V),X)),Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_34) ).

cnf(37,plain,
    ~ p18(f9(c21),X,X),
    inference('UR-RESOLVE',[status(thm)],[not_p15_10,c21_is_p15_1]) ).

cnf(39,plain,
    p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
    inference('UR-RESOLVE',[status(thm)],[p15_15,f4_is_not_p15_8]) ).

cnf(46,plain,
    p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19),
    inference('UR-RESOLVE',[status(thm)],[p16_32,39,37]) ).

cnf(47,plain,
    p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)),
    inference('UR-RESOLVE',[status(thm)],[p18_33,39,37]) ).

cnf(48,plain,
    p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
    inference('UR-RESOLVE',[status(thm)],[p18_34,39,37]) ).

cnf(54,plain,
    ~ p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
    inference('UR-RESOLVE',[status(thm)],[not_p17_16,47]) ).

cnf(58,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p16_23,54,46]),48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN625-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n005.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 : Tue Jul 12 06:05:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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 2022-07-12T06:05:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-12T06:05:37
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       135 formulas have been input or derived (from 50 formulas).
% 0.19/0.52  ;        58 (43%) were retained.  Of these,
% 0.19/0.52  ;           58 (100%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.007  15%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   4%   Assert                       (35 calls)
% 0.19/0.52  ;     0.005  11%   Process new row              (107 calls)
% 0.19/0.52  ;     0.007  15%   Resolution                   (98 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (49 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.52  ;     0.000   0%   Condensing                   (33 calls)
% 0.19/0.52  ;     0.002   4%   Forward subsumption          (33 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (32 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 0.19/0.52  ;     0.002   4%   Forward simplification       (107 calls)
% 0.19/0.52  ;     0.000   0%   Backward simplification      (58 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (20 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  ;     0.021  45%   Other
% 0.19/0.52  ;     0.047        Total
% 0.35/0.52  ;     0.051        Real time
% 0.35/0.52  ; 
% 0.35/0.52  ; Term-hash-array has 135 terms in all.
% 0.35/0.52  ; Feature-vector-row-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.35/0.52  ; Feature-vector-row-index has 168 nodes (168 at peak, 168 added, 0 deleted).
% 0.35/0.52  ;  Retrieved 11 possibly forward subsuming rows in 33 calls.
% 0.35/0.52  ;  Retrieved 1 possibly backward subsumed row in 32 calls.
% 0.35/0.52  ; Path-index has 138 entries (138 at peak, 138 added, 0 deleted).
% 0.35/0.52  ; Path-index has 555 nodes (555 at peak, 555 added, 0 deleted).
% 0.35/0.52  ; Trie-index has 138 entries (138 at peak, 138 added, 0 deleted).
% 0.35/0.52  ; Trie-index has 454 nodes (454 at peak, 454 added, 0 deleted).
% 0.35/0.52  ; Retrieved 123 generalization terms in 140 calls.
% 0.35/0.52  ; Retrieved 35 instance terms in 25 calls.
% 0.35/0.52  ; Retrieved 1,313 unifiable terms in 437 calls.
% 0.35/0.52  ; 
% 0.35/0.52  ; The agenda of rows to process has 1 entry:
% 0.35/0.52  ;     1 with value 48
% 0.35/0.52  ; The agenda of rows to give has 8 entries:
% 0.35/0.52  ;     3 with value (4 32)          1 with value (4 39)           1 with value (4 53)
% 0.35/0.52  ;     1 with value (4 34)          1 with value (4 43)           1 with value (4 59)
% 0.35/0.52  Evaluation took:
% 0.35/0.52    0.051 seconds of real time
% 0.35/0.52    0.041872 seconds of user run time
% 0.35/0.52    0.008654 seconds of system run time
% 0.35/0.52    0 calls to %EVAL
% 0.35/0.52    0 page faults and
% 0.35/0.52    3,627,976 bytes consed.
% 0.35/0.52  :PROOF-FOUND
% 0.35/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T06:05:37
% 0.35/0.53  :PROOF-FOUND
% 0.35/0.53  * 
%------------------------------------------------------------------------------