TSTP Solution File: SYN578-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 12:01:49 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   16 (  11 unt;   1 nHn;  14 RR)
%            Number of literals    :   27 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

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

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(p2_7,negated_conjecture,
    p2(c16,f5(c14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

cnf(p3_8,negated_conjecture,
    p3(f4(f5(X)),f4(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

cnf(p9_11,negated_conjecture,
    ( p9(X,f4(c16))
    | ~ p9(X,c13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_11) ).

cnf(p3_14,negated_conjecture,
    ( p3(f4(X),f4(Y))
    | ~ p2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).

cnf(p9_20,negated_conjecture,
    ( p9(X,Y)
    | ~ p7(Z,X)
    | ~ p9(Z,U)
    | ~ p3(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).

cnf(p9_22,negated_conjecture,
    ( p9(f8(X,Y),X)
    | p9(f8(X,Y),f4(Y))
    | ~ p11(Y,c15)
    | ~ p9(c12,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_22) ).

cnf(not_p11_23,negated_conjecture,
    ( ~ p11(X,c15)
    | ~ p9(c12,Y)
    | ~ p9(f8(Y,X),Y)
    | ~ p9(f8(Y,X),f4(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_23) ).

cnf(24,plain,
    p9(c12,f4(c16)),
    inference('HYPERRESOLVE',[status(thm)],[p9_11,p9_5]) ).

cnf(27,plain,
    p3(f4(c16),f4(f5(c14))),
    inference('HYPERRESOLVE',[status(thm)],[p3_14,p2_7]) ).

cnf(54,plain,
    p9(c12,f4(f5(c14))),
    inference('HYPERRESOLVE',[status(thm)],[p9_20,27,p7_2,24]) ).

cnf(76,plain,
    p9(c12,f4(c14)),
    inference('HYPERRESOLVE',[status(thm)],[p9_20,54,p7_2,p3_8]) ).

cnf(79,plain,
    p9(f8(f4(c14),c14),f4(c14)),
    inference('HYPERRESOLVE',[status(thm)],[p9_22,76,p11_6]) ).

cnf(80,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_p11_23,76,p11_6]),79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 00:58:28 EDT 2022
% 0.13/0.35  % 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 2022-07-12T00:58:28
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-12T00:58:28
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       223 formulas have been input or derived (from 33 formulas).
% 0.20/0.53  ;        80 (36%) were retained.  Of these,
% 0.20/0.53  ;           80 (100%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.004   9%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.001   2%   Assert                       (23 calls)
% 0.20/0.53  ;     0.007  16%   Process new row              (175 calls)
% 0.20/0.53  ;     0.005  11%   Resolution                   (64 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (32 calls)
% 0.20/0.53  ;     0.000   0%   Condensing                   (17 calls)
% 0.20/0.53  ;     0.000   0%   Forward subsumption          (17 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (17 calls)
% 0.20/0.53  ;     0.003   7%   Forward simplification       (175 calls)
% 0.20/0.53  ;     0.001   2%   Backward simplification      (80 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (5 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.023  52%   Other
% 0.20/0.53  ;     0.044        Total
% 0.20/0.53  ;     0.045        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 174 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 0 possibly forward subsuming rows in 17 calls.
% 0.20/0.53  ;  Retrieved 0 possibly backward subsumed rows in 17 calls.
% 0.20/0.53  ; Path-index has 179 entries (179 at peak, 179 added, 0 deleted).
% 0.20/0.53  ; Path-index has 212 nodes (212 at peak, 212 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 179 entries (179 at peak, 179 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 453 nodes (453 at peak, 453 added, 0 deleted).
% 0.20/0.53  ; Retrieved 245 generalization terms in 199 calls.
% 0.20/0.53  ; Retrieved 80 instance terms in 62 calls.
% 0.20/0.53  ; Retrieved 1,243 unifiable terms in 320 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to give has 47 entries:
% 0.20/0.53  ;     1 with value (4 10)          4 with value (4 14)           6 with value (4 19)
% 0.20/0.53  ;     3 with value (4 11)          2 with value (4 15)           1 with value (4 22)
% 0.20/0.53  ;     5 with value (4 12)          8 with value (4 16)           1 with value (4 28)
% 0.20/0.53  ;     6 with value (4 13)         10 with value (4 17)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.045 seconds of real time
% 0.20/0.53    0.038898 seconds of user run time
% 0.20/0.53    0.006954 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    2,988,464 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T00:58:28
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------