TSTP Solution File: LCL018-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL018-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 14:19:36 EDT 2022

% Result   : Unsatisfiable 47.96s 48.14s
% Output   : Refutation 47.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   43 (  42 unt;   0 nHn;   5 RR)
%            Number of literals    :   45 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   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   :  158 (   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(pym,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pym) ).

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

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

cnf(6,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X)),equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_pyo,pym]) ).

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

cnf(8,plain,
    is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,X),equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,U),Z),V)))),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4,4]) ).

cnf(13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(Z,U)),Z),equivalent(U,Y))),equivalent(equivalent(equivalent(V,equivalent(W,X1)),W),equivalent(X1,V))),X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,pym]) ).

cnf(14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,equivalent(Z,equivalent(equivalent(equivalent(U,Z),Y),U)))),equivalent(equivalent(equivalent(V,equivalent(W,X1)),W),equivalent(X1,V))),X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,7,4]) ).

cnf(62,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X)),equivalent(equivalent(equivalent(U,equivalent(V,W)),V),equivalent(W,U)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,13]) ).

cnf(63,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(equivalent(Z,equivalent(U,V)),U),equivalent(V,Z)),equivalent(equivalent(Y,equivalent(W,X)),W)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,pym]) ).

cnf(64,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Y,equivalent(Z,X)),Z),equivalent(equivalent(equivalent(U,equivalent(V,W)),V),equivalent(W,U))))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,13,pym]) ).

cnf(86,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,equivalent(equivalent(Y,equivalent(U,X)),U))),Z)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,62,13]) ).

cnf(101,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),equivalent(Z,X)),equivalent(U,equivalent(V,equivalent(equivalent(equivalent(W,V),U),W))))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,86,8]) ).

cnf(167,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,X),Z),Y)),equivalent(U,Z)),U)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,86]) ).

cnf(169,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,X),Z),Y)),equivalent(U,Z)),U),equivalent(equivalent(equivalent(V,equivalent(W,X1)),W),equivalent(X1,V)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,64,4]) ).

cnf(192,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(equivalent(Z,Y),X),Z))),equivalent(equivalent(equivalent(U,equivalent(V,W)),V),equivalent(W,U)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,167,7]) ).

cnf(196,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,equivalent(U,V)),U),equivalent(V,Z))),X),equivalent(W,Y)),W)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,167,64]) ).

cnf(316,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,equivalent(Z,U)),Z),equivalent(U,Y))),V),X),V)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,192,pym]) ).

cnf(679,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,equivalent(U,equivalent(equivalent(equivalent(V,U),Z),V))),equivalent(equivalent(Y,equivalent(W,X)),W)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,14,pym]) ).

cnf(1151,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(X,equivalent(equivalent(Z,equivalent(U,V)),U)),equivalent(V,Z)))),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,169,196]) ).

cnf(1180,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Y),Z),equivalent(U,X)),U)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1151,64]) ).

cnf(1235,plain,
    is_a_theorem(equivalent(X,equivalent(equivalent(Y,X),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1180,316]) ).

cnf(1290,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(Z,Y),Z))),X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1235,1235]) ).

cnf(1476,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),X),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,pym]) ).

cnf(1477,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Y,equivalent(Z,X)),Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,63]) ).

cnf(1478,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),X),equivalent(Z,Y)),Z)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,pym]) ).

cnf(1479,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(equivalent(equivalent(Y,X),Z),Y)),Z)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1290,679]) ).

cnf(1589,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),X),equivalent(Z,Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1477,167]) ).

cnf(1646,plain,
    is_a_theorem(equivalent(X,equivalent(Y,equivalent(X,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1478,1477]) ).

cnf(1703,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,equivalent(Y,X)),equivalent(Z,Y)),Z)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1646,1477]) ).

cnf(2111,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),Y),X)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1479,1476]) ).

cnf(2158,plain,
    is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(equivalent(X,Z),Z))),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2111,1477]) ).

cnf(2413,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(equivalent(Z,X),Y),Z))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1589,167]) ).

cnf(2416,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),Z),X),Z),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1589,101]) ).

cnf(2801,plain,
    is_a_theorem(equivalent(equivalent(X,Y),equivalent(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1703,1589]) ).

cnf(2868,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(Z,equivalent(Y,X))),Z)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2801,1477]) ).

cnf(3035,plain,
    ~ is_a_theorem(equivalent(b,equivalent(a,equivalent(equivalent(a,equivalent(b,c)),c)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,2413,6]) ).

cnf(4481,plain,
    is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(Y,Z),equivalent(Z,X)),Y))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2416,pym]) ).

cnf(5879,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Y),Z),equivalent(Z,X))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,4481,2158]) ).

cnf(9764,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X,Y),Z),equivalent(Z,equivalent(Y,X)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,2868,4481]) ).

cnf(17079,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,equivalent(Y,Z)),Z),X),Y)),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,5879,2413]) ).

cnf(20783,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[condensed_detachment,9764,3035]),17079]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL018-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n029.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 : Sat Jul  2 20:15:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T20:15:10
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-02T20:15:10
% 47.96/48.14  
% 47.96/48.14  
% 47.96/48.14  #||
% 47.96/48.14  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.96/48.14  % SZS output start Refutation
% See solution above
% 47.96/48.16  ||#
% 47.96/48.16  
% 47.96/48.16  ; Summary of computation:
% 47.96/48.16  ;     54756 formulas have been input or derived (from 225 formulas).
% 47.96/48.16  ;     20783 (38%) were retained.  Of these,
% 47.96/48.16  ;        20783 (100%) are still being kept.
% 47.96/48.16  ; 
% 47.96/48.16  ; Run time in seconds excluding printing time:
% 47.96/48.16  ;     0.001   0%   Read assertion file          (1 call)
% 47.96/48.16  ;     0.000   0%   Assert                       (3 calls)
% 47.96/48.16  ;     3.145   7%   Process new row              (51,700 calls)
% 47.96/48.16  ;    34.003  71%   Resolution                   (448 calls)
% 47.96/48.16  ;     0.733   2%   Paramodulation               (224 calls)
% 47.96/48.16  ;     0.000   0%   Condensing                   (1 call)
% 47.96/48.16  ;     0.000   0%   Forward subsumption          (1 call)
% 47.96/48.16  ;     0.000   0%   Backward subsumption         (1 call)
% 47.96/48.16  ;     2.329   5%   Forward simplification       (51,700 calls)
% 47.96/48.16  ;     7.219  15%   Backward simplification      (20,783 calls)
% 47.96/48.16  ;     0.000   0%   Sortal reasoning             (32 calls)
% 47.96/48.16  ;     0.000   0%   Purity testing               (1 call)
% 47.96/48.16  ;     0.239   1%   Other
% 47.96/48.16  ;    47.669        Total
% 47.96/48.16  ;    47.692        Real time
% 47.96/48.16  ; 
% 47.96/48.16  ; Term-hash-array has 58,522 terms in all.
% 47.96/48.16  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 47.96/48.16  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 47.96/48.16  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 47.96/48.16  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 47.96/48.16  ; Path-index has 58,525 entries (58,525 at peak, 58,525 added, 0 deleted).
% 47.96/48.16  ; Path-index has 12,926 nodes (12,926 at peak, 12,926 added, 0 deleted).
% 47.96/48.16  ; Trie-index has 58,525 entries (58,525 at peak, 58,525 added, 0 deleted).
% 47.96/48.16  ; Trie-index has 166,946 nodes (166,946 at peak, 166,946 added, 0 deleted).
% 47.96/48.16  ; Retrieved 1,547,033 generalization terms in 51,698 calls.
% 47.96/48.16  ; Retrieved 1,799,349 instance terms in 20,781 calls.
% 47.96/48.16  ; Retrieved 74,842,592 unifiable terms in 28,440 calls.
% 47.96/48.16  ; 
% 47.96/48.16  ; The agenda of rows to process has 378 entries:
% 47.96/48.16  ;    28 with value 36              7 with value 48               1 with value 57
% 47.96/48.16  ;    30 with value 39             19 with value 49               1 with value 58
% 47.96/48.16  ;    84 with value 40             12 with value 50               4 with value 59
% 47.96/48.16  ;    22 with value 41              9 with value 51               1 with value 60
% 47.96/48.16  ;    24 with value 43              1 with value 52               1 with value 61
% 47.96/48.16  ;    22 with value 44             12 with value 53               3 with value 62
% 47.96/48.16  ;    37 with value 45             21 with value 54               1 with value 66
% 47.96/48.16  ;    17 with value 46              6 with value 55               3 with value 67
% 47.96/48.16  ;    10 with value 47              1 with value 56               1 with value 68
% 47.96/48.16  ; The agenda of rows to give has 20558 entries:
% 47.96/48.16  ;    23 with value (4 33)        455 with value (4 47)         436 with value (4 60)
% 47.96/48.16  ;   122 with value (4 34)        367 with value (4 48)         433 with value (4 61)
% 47.96/48.16  ;   117 with value (4 35)        252 with value (4 49)         246 with value (4 62)
% 47.96/48.16  ;    45 with value (4 36)        299 with value (4 50)         277 with value (4 63)
% 47.96/48.16  ;   108 with value (4 37)        424 with value (4 51)         310 with value (4 64)
% 47.96/48.16  ;   502 with value (4 38)        857 with value (4 52)         287 with value (4 65)
% 47.96/48.16  ;  1055 with value (4 39)        944 with value (4 53)         316 with value (4 66)
% 47.96/48.16  ;  1050 with value (4 40)        392 with value (4 54)         153 with value (4 67)
% 47.96/48.16  ;   428 with value (4 41)        329 with value (4 55)          47 with value (4 68)
% 47.96/48.16  ;   619 with value (4 42)        460 with value (4 56)          28 with value (4 69)
% 47.96/48.16  ;  1619 with value (4 43)        525 with value (4 57)          33 with value (4 70)
% 47.96/48.16  ;  1981 with value (4 44)        602 with value (4 58)          14 with value (4 71)
% 47.96/48.16  ;  2670 with value (4 45)        523 with value (4 59)           4 with value (4 72)
% 47.96/48.16  ;  1206 with value (4 46)
% 47.96/48.16  Evaluation took:
% 47.96/48.16    47.694 seconds of real time
% 47.96/48.16    46.883926 seconds of user run time
% 47.96/48.16    0.812136 seconds of system run time
% 47.96/48.16    [Run times include 4.471 seconds GC run time.]
% 47.96/48.16    0 calls to %EVAL
% 47.96/48.16    0 page faults and
% 47.96/48.16    1,640,924,240 bytes consed.
% 47.96/48.16  :PROOF-FOUND
% 47.96/48.16  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T20:15:58
% 47.96/48.16  :PROOF-FOUND
% 47.96/48.16  * 
%------------------------------------------------------------------------------