TSTP Solution File: SYN581-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN581-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 12:01:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  10 unt;   0 nHn;  10 RR)
%            Number of literals    :   22 (   0 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_2,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).

cnf(p5_3,negated_conjecture,
    p5(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).

cnf(p2_5,negated_conjecture,
    p2(c18,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(p11_8,negated_conjecture,
    p11(f4(f6(c15,c14)),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).

cnf(not_p11_9,negated_conjecture,
    ~ p11(f4(f6(c15,c18)),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).

cnf(p2_14,negated_conjecture,
    ( p2(f4(X),f4(Y))
    | ~ p2(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).

cnf(p2_18,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).

cnf(p11_21,negated_conjecture,
    ( p11(X,Y)
    | ~ p2(Z,X)
    | ~ p2(U,Y)
    | ~ p11(Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).

cnf(p2_23,negated_conjecture,
    ( p2(f6(X,Y),f6(Z,U))
    | ~ p2(Y,U)
    | ~ p5(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).

cnf(38,plain,
    p2(c14,c18),
    inference('HYPERRESOLVE',[status(thm)],[p2_18,p2_5,p2_2]) ).

cnf(41,plain,
    ~ p2(f4(f6(c15,c14)),f4(f6(c15,c18))),
    inference('UR-RESOLVE',[status(thm)],[p11_21,not_p11_9,p2_2,p11_8]) ).

cnf(53,plain,
    p2(f6(X,c14),f6(X,c18)),
    inference('HYPERRESOLVE',[status(thm)],[p2_23,38,p5_3]) ).

cnf(95,plain,
    p2(f4(f6(X,c14)),f4(f6(X,c18))),
    inference('HYPERRESOLVE',[status(thm)],[p2_14,53]) ).

cnf(96,plain,
    $false,
    inference('REWRITE',[status(thm)],[41,95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN581-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 20:34:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:34:43
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-11T20:34:43
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % 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  ;       507 formulas have been input or derived (from 62 formulas).
% 0.19/0.52  ;        96 (19%) were retained.  Of these,
% 0.19/0.52  ;            1 ( 1%) were simplified or subsumed later,
% 0.19/0.52  ;           95 (99%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.004   7%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.001   2%   Assert                       (25 calls)
% 0.19/0.52  ;     0.007  12%   Process new row              (467 calls)
% 0.19/0.52  ;     0.013  22%   Resolution                   (122 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (61 calls)
% 0.19/0.52  ;     0.001   2%   Condensing                   (18 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (18 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.52  ;     0.005   9%   Forward simplification       (467 calls)
% 0.19/0.52  ;     0.001   2%   Backward simplification      (96 calls)
% 0.19/0.52  ;     0.001   2%   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  ;     0.025  43%   Other
% 0.19/0.52  ;     0.058        Total
% 0.19/0.52  ;     0.060        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 164 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 75 nodes (75 at peak, 75 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 9 possibly forward subsuming rows in 18 calls.
% 0.19/0.52  ;  Retrieved 0 possibly backward subsumed rows in 18 calls.
% 0.19/0.52  ; Path-index has 169 entries (170 at peak, 170 added, 1 deleted).
% 0.19/0.52  ; Path-index has 321 nodes (321 at peak, 321 added, 0 deleted).
% 0.19/0.52  ; Trie-index has 169 entries (170 at peak, 170 added, 1 deleted).
% 0.19/0.52  ; Trie-index has 382 nodes (386 at peak, 386 added, 4 deleted).
% 0.19/0.52  ; Retrieved 461 generalization terms in 501 calls.
% 0.19/0.52  ; Retrieved 88 instance terms in 77 calls.
% 0.19/0.52  ; Retrieved 6,965 unifiable terms in 1,718 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to process has 4 entries:
% 0.19/0.52  ;     3 with value 15              1 with value 17
% 0.19/0.52  ; The agenda of rows to give has 33 entries:
% 0.19/0.52  ;     6 with value (4 11)          6 with value (4 14)           2 with value (4 16)
% 0.19/0.52  ;     6 with value (4 12)          4 with value (4 15)           2 with value (4 19)
% 0.19/0.52  ;     7 with value (4 13)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.06 seconds of real time
% 0.19/0.52    0.048577 seconds of user run time
% 0.19/0.52    0.011865 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    3,537,880 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T20:34:43
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------