TSTP Solution File: LCL111-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL111-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 : Sun Jul 17 14:20:17 EDT 2022

% Result   : Unsatisfiable 13.66s 13.89s
% Output   : Refutation 13.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   9 unt;   0 nHn;   3 RR)
%            Number of literals    :   12 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(implies(X,Y))
    | ~ is_a_theorem(X)
    | is_a_theorem(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(mv_1,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_1) ).

cnf(mv_2,axiom,
    is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).

cnf(mv_3,axiom,
    is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).

cnf(prove_mv_25,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_25) ).

cnf(9,plain,
    is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,mv_2,mv_1]) ).

cnf(12,plain,
    is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,mv_2,mv_2]) ).

cnf(58,plain,
    is_a_theorem(implies(X,implies(implies(X,Y),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,mv_3]) ).

cnf(125,plain,
    is_a_theorem(implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,58,mv_2]) ).

cnf(33801,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,12,125,prove_mv_25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL111-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n016.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 : Mon Jul  4 14:48:02 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T14:48:02
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-04T14:48:02
% 13.66/13.89  
% 13.66/13.89  
% 13.66/13.89  #||
% 13.66/13.89  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.66/13.89  % SZS output start Refutation
% See solution above
% 13.66/13.89  ||#
% 13.66/13.89  
% 13.66/13.89  ; Summary of computation:
% 13.66/13.89  ;     52120 formulas have been input or derived (from 400 formulas).
% 13.66/13.89  ;     33801 (65%) were retained.  Of these,
% 13.66/13.89  ;         1033 ( 3%) were simplified or subsumed later,
% 13.66/13.89  ;        32768 (97%) are still being kept.
% 13.66/13.89  ; 
% 13.66/13.89  ; Run time in seconds excluding printing time:
% 13.66/13.89  ;     0.001   0%   Read assertion file          (1 call)
% 13.66/13.89  ;     0.001   0%   Assert                       (6 calls)
% 13.66/13.89  ;     3.615  27%   Process new row              (47,059 calls)
% 13.66/13.89  ;     5.971  45%   Resolution                   (798 calls)
% 13.66/13.89  ;     0.305   2%   Paramodulation               (399 calls)
% 13.66/13.89  ;     0.000   0%   Condensing                   (1 call)
% 13.66/13.89  ;     0.000   0%   Forward subsumption          (1 call)
% 13.66/13.89  ;     0.000   0%   Backward subsumption         (1 call)
% 13.66/13.89  ;     1.549  12%   Forward simplification       (47,046 calls)
% 13.66/13.89  ;     1.778  13%   Backward simplification      (33,801 calls)
% 13.66/13.89  ;     0.000   0%   Sortal reasoning             (32 calls)
% 13.66/13.89  ;     0.000   0%   Purity testing               (1 call)
% 13.66/13.89  ;     0.192   1%   Other
% 13.66/13.89  ;    13.412        Total
% 13.66/13.89  ;    13.415        Real time
% 13.66/13.89  ; 
% 13.66/13.89  ; Term-hash-array has 72,526 terms in all.
% 13.66/13.89  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 13.66/13.89  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 13.66/13.89  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 13.66/13.89  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 13.66/13.89  ; Path-index has 70,369 entries (70,369 at peak, 72,543 added, 2,174 deleted).
% 13.66/13.89  ; Path-index has 9,021 nodes (9,021 at peak, 9,040 added, 19 deleted).
% 13.66/13.89  ; Trie-index has 70,369 entries (70,369 at peak, 72,543 added, 2,174 deleted).
% 13.66/13.89  ; Trie-index has 162,431 nodes (162,431 at peak, 166,172 added, 3,741 deleted).
% 13.66/13.89  ; Retrieved 800,618 generalization terms in 47,043 calls.
% 13.66/13.89  ; Retrieved 160,394 instance terms in 33,799 calls.
% 13.66/13.89  ; Retrieved 17,616,165 unifiable terms in 16,416 calls.
% 13.66/13.89  ; 
% 13.66/13.89  ; The agenda of rows to process has 680 entries:
% 13.66/13.89  ;     4 with value 11             38 with value 23              12 with value 32
% 13.66/13.89  ;     6 with value 14             29 with value 24               7 with value 33
% 13.66/13.89  ;     1 with value 15             30 with value 25               8 with value 34
% 13.66/13.89  ;    14 with value 16             53 with value 26              28 with value 35
% 13.66/13.89  ;    10 with value 17             44 with value 27              29 with value 36
% 13.66/13.89  ;    25 with value 18              5 with value 28              48 with value 37
% 13.66/13.89  ;    27 with value 19              5 with value 29              69 with value 38
% 13.66/13.89  ;    13 with value 20             11 with value 30              81 with value 39
% 13.66/13.89  ;    28 with value 21             11 with value 31              22 with value 40
% 13.66/13.89  ;    22 with value 22
% 13.66/13.89  ; The agenda of rows to give has 32381 entries:
% 13.66/13.89  ;   195 with value (4 22)       1636 with value (4 28)        3763 with value (4 34)
% 13.66/13.89  ;   324 with value (4 23)       2153 with value (4 29)        2821 with value (4 35)
% 13.66/13.89  ;   448 with value (4 24)       2890 with value (4 30)        1401 with value (4 36)
% 13.66/13.89  ;   627 with value (4 25)       3649 with value (4 31)         833 with value (4 37)
% 13.66/13.89  ;  1018 with value (4 26)       4407 with value (4 32)         111 with value (4 38)
% 13.66/13.89  ;  1283 with value (4 27)       4822 with value (4 33)
% 13.66/13.89  Evaluation took:
% 13.66/13.89    13.418 seconds of real time
% 13.66/13.89    12.888879 seconds of user run time
% 13.66/13.89    0.527367 seconds of system run time
% 13.66/13.89    [Run times include 2.474 seconds GC run time.]
% 13.66/13.89    0 calls to %EVAL
% 13.66/13.89    0 page faults and
% 13.66/13.89    714,514,896 bytes consed.
% 13.66/13.89  :PROOF-FOUND
% 13.66/13.89  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T14:48:15
% 13.66/13.89  :PROOF-FOUND
% 13.66/13.89  * 
%------------------------------------------------------------------------------