TSTP Solution File: LCL022-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL022-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 14:19:37 EDT 2022

% Result   : Unsatisfiable 0.42s 0.58s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (  10 unt;   0 nHn;   4 RR)
%            Number of literals    :   13 (   0 equ;   4 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   :   22 (   0 sgn)

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

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

cnf(prove_ec_1,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).

cnf(4,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(Y,Z),equivalent(U,Y))),equivalent(equivalent(U,Z),X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,yql,yql]) ).

cnf(6,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,yql]) ).

cnf(7,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(X,Z),equivalent(equivalent(U,Y),equivalent(Z,U))))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,4]) ).

cnf(11,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,Z)),equivalent(equivalent(Y,Z),X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,6,yql]) ).

cnf(14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,X)),equivalent(Z,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,11,yql]) ).

cnf(16,plain,
    ~ is_a_theorem(equivalent(equivalent(b,c),equivalent(equivalent(a,b),equivalent(c,a)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,11,prove_ec_1]) ).

cnf(22,plain,
    is_a_theorem(equivalent(X,X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,6]) ).

cnf(226,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,7,22,16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL022-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n015.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 : Mon Jul  4 15:48:31 EDT 2022
% 0.12/0.34  % 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 2022-07-04T15:48:31
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-04T15:48:31
% 0.42/0.58  
% 0.42/0.58  
% 0.42/0.58  #||
% 0.42/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58  % SZS output start Refutation
% See solution above
% 0.42/0.59  ||#
% 0.42/0.59  
% 0.42/0.59  ; Summary of computation:
% 0.42/0.59  ;       870 formulas have been input or derived (from 28 formulas).
% 0.42/0.59  ;       226 (26%) were retained.  Of these,
% 0.42/0.59  ;            8 ( 4%) were simplified or subsumed later,
% 0.42/0.59  ;          218 (96%) are still being kept.
% 0.42/0.59  ; 
% 0.42/0.59  ; Run time in seconds excluding printing time:
% 0.42/0.59  ;     0.001   1%   Read assertion file          (1 call)
% 0.42/0.59  ;     0.000   0%   Assert                       (3 calls)
% 0.42/0.59  ;     0.023  22%   Process new row              (707 calls)
% 0.42/0.59  ;     0.022  21%   Resolution                   (54 calls)
% 0.42/0.59  ;     0.002   2%   Paramodulation               (27 calls)
% 0.42/0.59  ;     0.000   0%   Condensing                   (1 call)
% 0.42/0.59  ;     0.000   0%   Forward subsumption          (1 call)
% 0.42/0.59  ;     0.000   0%   Backward subsumption         (1 call)
% 0.42/0.59  ;     0.013  12%   Forward simplification       (696 calls)
% 0.42/0.59  ;     0.018  17%   Backward simplification      (226 calls)
% 0.42/0.59  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.42/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.42/0.59  ;     0.024  23%   Other
% 0.42/0.59  ;     0.104        Total
% 0.42/0.59  ;     0.105        Real time
% 0.42/0.59  ; 
% 0.42/0.59  ; Term-hash-array has 653 terms in all.
% 0.42/0.59  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.42/0.59  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.42/0.59  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.42/0.59  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.42/0.59  ; Path-index has 632 entries (632 at peak, 656 added, 24 deleted).
% 0.42/0.59  ; Path-index has 546 nodes (546 at peak, 546 added, 0 deleted).
% 0.42/0.59  ; Trie-index has 632 entries (632 at peak, 656 added, 24 deleted).
% 0.42/0.59  ; Trie-index has 1,714 nodes (1,714 at peak, 1,844 added, 130 deleted).
% 0.42/0.59  ; Retrieved 2,967 generalization terms in 694 calls.
% 0.42/0.59  ; Retrieved 2,134 instance terms in 224 calls.
% 0.42/0.59  ; Retrieved 19,159 unifiable terms in 738 calls.
% 0.42/0.59  ; 
% 0.42/0.59  ; The agenda of rows to process has 72 entries:
% 0.42/0.59  ;     1 with value 11              6 with value 28               4 with value 34
% 0.42/0.59  ;     1 with value 19              4 with value 29               1 with value 35
% 0.42/0.59  ;     1 with value 20              8 with value 30               1 with value 36
% 0.42/0.59  ;     4 with value 22              4 with value 31               7 with value 37
% 0.42/0.59  ;     1 with value 23             12 with value 32               1 with value 39
% 0.42/0.59  ;     8 with value 27              8 with value 33
% 0.42/0.59  ; The agenda of rows to give has 193 entries:
% 0.42/0.59  ;     9 with value (4 23)         12 with value (4 29)           9 with value (4 34)
% 0.42/0.59  ;     1 with value (4 24)          9 with value (4 30)           7 with value (4 35)
% 0.42/0.59  ;     6 with value (4 25)         13 with value (4 31)          14 with value (4 36)
% 0.42/0.59  ;    16 with value (4 26)         17 with value (4 32)           3 with value (4 37)
% 0.42/0.59  ;    22 with value (4 27)          8 with value (4 33)           1 with value (4 39)
% 0.42/0.59  ;    46 with value (4 28)
% 0.42/0.59  Evaluation took:
% 0.42/0.59    0.106 seconds of real time
% 0.42/0.59    0.095693 seconds of user run time
% 0.42/0.59    0.010262 seconds of system run time
% 0.42/0.59    0 calls to %EVAL
% 0.42/0.59    0 page faults and
% 0.42/0.59    6,023,160 bytes consed.
% 0.42/0.59  :PROOF-FOUND
% 0.42/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T15:48:32
% 0.42/0.59  :PROOF-FOUND
% 0.42/0.59  * 
%------------------------------------------------------------------------------