TSTP Solution File: LCL075-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL075-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 14:20:00 EDT 2022

% Result   : Unsatisfiable 3.36s 3.59s
% Output   : Refutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   11 (  10 unt;   0 nHn;   3 RR)
%            Number of literals    :   13 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   32 (  12 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(cn_CAMerideth,axiom,
    is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(not(Z),not(U))),Z),V),implies(implies(V,X),implies(U,X)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_CAMerideth) ).

cnf(prove_cn_3,negated_conjecture,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_3) ).

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

cnf(7,plain,
    is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,cn_CAMerideth]) ).

cnf(19,plain,
    is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,cn_CAMerideth]) ).

cnf(44,plain,
    is_a_theorem(implies(X,implies(Y,implies(Z,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,19,19]) ).

cnf(56,plain,
    is_a_theorem(implies(implies(implies(X,implies(Y,Y)),Z),implies(U,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,44,cn_CAMerideth]) ).

cnf(442,plain,
    is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,56,cn_CAMerideth]) ).

cnf(474,plain,
    is_a_theorem(implies(implies(implies(implies(not(X),not(Y)),X),Z),implies(Y,Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,442,cn_CAMerideth]) ).

cnf(8036,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,474,442,prove_cn_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : LCL075-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul  3 16:00:14 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T16:00:14
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-03T16:00:14
% 3.36/3.59  
% 3.36/3.59  
% 3.36/3.59  #||
% 3.36/3.59  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/3.59  % SZS output start Refutation
% See solution above
% 3.36/3.59  ||#
% 3.36/3.59  
% 3.36/3.59  ; Summary of computation:
% 3.36/3.59  ;     16892 formulas have been input or derived (from 184 formulas).
% 3.36/3.59  ;      8036 (48%) were retained.  Of these,
% 3.36/3.59  ;           19 ( 0%) were simplified or subsumed later,
% 3.36/3.59  ;         8017 (100%) are still being kept.
% 3.36/3.59  ; 
% 3.36/3.59  ; Run time in seconds excluding printing time:
% 3.36/3.59  ;     0.002   0%   Read assertion file          (1 call)
% 3.36/3.59  ;     0.000   0%   Assert                       (3 calls)
% 3.36/3.59  ;     0.827  27%   Process new row              (13,447 calls)
% 3.36/3.59  ;     1.281  41%   Resolution                   (366 calls)
% 3.36/3.59  ;     0.096   3%   Paramodulation               (183 calls)
% 3.36/3.59  ;     0.000   0%   Condensing                   (1 call)
% 3.36/3.59  ;     0.000   0%   Forward subsumption          (1 call)
% 3.36/3.59  ;     0.000   0%   Backward subsumption         (1 call)
% 3.36/3.59  ;     0.537  17%   Forward simplification       (13,441 calls)
% 3.36/3.59  ;     0.291   9%   Backward simplification      (8,036 calls)
% 3.36/3.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.36/3.59  ;     0.000   0%   Purity testing               (1 call)
% 3.36/3.59  ;     0.069   2%   Other
% 3.36/3.59  ;     3.103        Total
% 3.36/3.59  ;     3.104        Real time
% 3.44/3.60  ; 
% 3.44/3.60  ; Term-hash-array has 18,516 terms in all.
% 3.44/3.60  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 3.44/3.60  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 3.44/3.60  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 3.44/3.60  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 3.44/3.60  ; Path-index has 18,447 entries (18,447 at peak, 18,522 added, 75 deleted).
% 3.44/3.60  ; Path-index has 6,857 nodes (6,857 at peak, 6,917 added, 60 deleted).
% 3.44/3.60  ; Trie-index has 18,447 entries (18,447 at peak, 18,522 added, 75 deleted).
% 3.44/3.60  ; Trie-index has 38,557 nodes (38,557 at peak, 38,913 added, 356 deleted).
% 3.44/3.60  ; Retrieved 300,012 generalization terms in 13,438 calls.
% 3.44/3.60  ; Retrieved 36,820 instance terms in 8,034 calls.
% 3.44/3.60  ; Retrieved 3,268,044 unifiable terms in 7,175 calls.
% 3.44/3.60  ; 
% 3.44/3.60  ; The agenda of rows to process has 421 entries:
% 3.44/3.60  ;     1 with value 14             21 with value 28               8 with value 38
% 3.44/3.60  ;     9 with value 17              8 with value 29              18 with value 39
% 3.44/3.60  ;     4 with value 19             10 with value 30              15 with value 40
% 3.44/3.60  ;    12 with value 20             11 with value 31              19 with value 41
% 3.44/3.60  ;     6 with value 21              9 with value 32              19 with value 42
% 3.44/3.60  ;    16 with value 22             13 with value 33              24 with value 43
% 3.44/3.60  ;    16 with value 23             26 with value 34              16 with value 44
% 3.44/3.60  ;     6 with value 24             27 with value 35               4 with value 45
% 3.44/3.60  ;    33 with value 25             17 with value 36               3 with value 46
% 3.44/3.60  ;    13 with value 26             24 with value 37               1 with value 53
% 3.44/3.60  ;    12 with value 27
% 3.44/3.60  ; The agenda of rows to give has 7835 entries:
% 3.44/3.60  ;    24 with value (4 27)        661 with value (4 37)          30 with value (4 47)
% 3.44/3.60  ;    67 with value (4 28)        689 with value (4 38)           8 with value (4 48)
% 3.44/3.60  ;    69 with value (4 29)        714 with value (4 39)          22 with value (4 49)
% 3.44/3.60  ;   129 with value (4 30)        837 with value (4 40)          23 with value (4 50)
% 3.44/3.60  ;   152 with value (4 31)        706 with value (4 41)          32 with value (4 51)
% 3.44/3.60  ;   223 with value (4 32)        639 with value (4 42)          22 with value (4 52)
% 3.44/3.60  ;   266 with value (4 33)        541 with value (4 43)          15 with value (4 53)
% 3.44/3.60  ;   318 with value (4 34)        366 with value (4 44)           6 with value (4 54)
% 3.44/3.60  ;   492 with value (4 35)        207 with value (4 45)           1 with value (4 58)
% 3.44/3.60  ;   451 with value (4 36)        124 with value (4 46)           1 with value (4 68)
% 3.44/3.60  Evaluation took:
% 3.44/3.60    3.105 seconds of real time
% 3.44/3.60    2.970129 seconds of user run time
% 3.44/3.60    0.135751 seconds of system run time
% 3.44/3.60    [Run times include 0.346 seconds GC run time.]
% 3.44/3.60    0 calls to %EVAL
% 3.44/3.60    0 page faults and
% 3.44/3.60    193,192,048 bytes consed.
% 3.44/3.60  :PROOF-FOUND
% 3.44/3.60  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T16:00:18
% 3.44/3.60  :PROOF-FOUND
% 3.44/3.60  * 
%------------------------------------------------------------------------------