TSTP Solution File: SYN613-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 12:02:03 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (  11 unt;   0 nHn;  10 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p11_1,negated_conjecture,
    p11(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_1) ).

cnf(p3_4,negated_conjecture,
    p3(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_4) ).

cnf(p16_6,negated_conjecture,
    p16(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_6) ).

cnf(p11_7,negated_conjecture,
    p11(c23,f12(f9(c21))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).

cnf(p11_8,negated_conjecture,
    p11(c24,f12(f9(c21))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_8) ).

cnf(p11_15,negated_conjecture,
    ( p11(X,Y)
    | ~ p11(Z,X)
    | ~ p11(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_15) ).

cnf(p17_21,negated_conjecture,
    p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_21) ).

cnf(not_p17_22,negated_conjecture,
    ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_22) ).

cnf(p17_29,negated_conjecture,
    ( p17(X,Y,Z)
    | ~ p3(U,Y)
    | ~ p16(V,X)
    | ~ p11(W,Z)
    | ~ p17(V,U,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_29) ).

cnf(36,plain,
    p11(f12(f9(c21)),c23),
    inference('HYPERRESOLVE',[status(thm)],[p11_15,p11_7,p11_1]) ).

cnf(37,plain,
    p11(f12(f9(c21)),c24),
    inference('HYPERRESOLVE',[status(thm)],[p11_15,p11_8,p11_1]) ).

cnf(52,plain,
    ~ p11(c24,c23),
    inference('UR-RESOLVE',[status(thm)],[p17_29,not_p17_22,p3_4,p16_6,p17_21]) ).

cnf(55,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p11_15,36,52]),37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN613-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jul 12 06:10:30 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:10:30
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-12T06:10:30
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       150 formulas have been input or derived (from 35 formulas).
% 0.20/0.52  ;        55 (37%) were retained.  Of these,
% 0.20/0.52  ;           55 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.008  18%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.001   2%   Assert                       (31 calls)
% 0.20/0.52  ;     0.005  11%   Process new row              (103 calls)
% 0.20/0.52  ;     0.002   5%   Resolution                   (68 calls)
% 0.20/0.52  ;     0.000   0%   Paramodulation               (34 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (21 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (21 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (21 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.20/0.52  ;     0.005  11%   Forward simplification       (103 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (55 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (1 call)
% 0.20/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  48%   Other
% 0.20/0.52  ;     0.044        Total
% 0.20/0.52  ;     0.045        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 132 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 133 nodes (133 at peak, 133 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 1 possibly forward subsuming row in 21 calls.
% 0.20/0.52  ;  Retrieved 0 possibly backward subsumed rows in 21 calls.
% 0.20/0.52  ; Path-index has 139 entries (139 at peak, 139 added, 0 deleted).
% 0.20/0.52  ; Path-index has 261 nodes (261 at peak, 261 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 139 entries (139 at peak, 139 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 326 nodes (326 at peak, 326 added, 0 deleted).
% 0.20/0.52  ; Retrieved 124 generalization terms in 130 calls.
% 0.20/0.52  ; Retrieved 33 instance terms in 33 calls.
% 0.20/0.52  ; Retrieved 1,051 unifiable terms in 272 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 22 entries:
% 0.20/0.52  ;     1 with value 11              4 with value 15               1 with value 20
% 0.20/0.52  ;     4 with value 13             12 with value 17
% 0.20/0.52  ; The agenda of rows to give has 20 entries:
% 0.20/0.52  ;     1 with value (4 9)           4 with value (4 14)           2 with value (4 17)
% 0.20/0.52  ;     4 with value (4 12)          4 with value (4 16)           1 with value (4 19)
% 0.20/0.52  ;     4 with value (4 13)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.046 seconds of real time
% 0.20/0.52    0.040697 seconds of user run time
% 0.20/0.52    0.005216 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,677,448 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:10:30
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------