TSTP Solution File: LCL064-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 14:19:56 EDT 2022

% Result   : Unsatisfiable 12.25s 12.45s
% Output   : Refutation 12.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   9 unt;   0 nHn;   5 RR)
%            Number of literals    :   12 (   0 equ;   5 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 (   4 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_18,axiom,
    is_a_theorem(implies(X,implies(Y,X))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_18) ).

cnf(cn_35,axiom,
    is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_35) ).

cnf(prove_cn_1,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).

cnf(7,plain,
    ~ is_a_theorem(implies(implies(X,implies(Y,X)),implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_cn_1,cn_18]) ).

cnf(9,plain,
    is_a_theorem(implies(X,implies(implies(Y,implies(Z,U)),implies(implies(Y,Z),implies(Y,U))))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,cn_35,cn_18]) ).

cnf(1903,plain,
    is_a_theorem(implies(implies(X,implies(Y,implies(Z,U))),implies(X,implies(implies(Y,Z),implies(Y,U))))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,9,cn_35]) ).

cnf(18959,plain,
    is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,1903,cn_18]) ).

cnf(19303,plain,
    ~ is_a_theorem(implies(implies(X,implies(a,b)),implies(implies(b,c),implies(a,c)))),
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,18959,7]) ).

cnf(20473,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[condensed_detachment,19303,cn_35,18959]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL064-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n009.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 : Sun Jul  3 18:34:37 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  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 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 2022-07-03T18:34:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-03T18:34:37
% 12.25/12.45  
% 12.25/12.45  
% 12.25/12.45  #||
% 12.25/12.45  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.25/12.45  % SZS output start Refutation
% See solution above
% 12.29/12.45  ||#
% 12.29/12.45  
% 12.29/12.45  ; Summary of computation:
% 12.29/12.45  ;     35172 formulas have been input or derived (from 381 formulas).
% 12.29/12.45  ;     20473 (58%) were retained.  Of these,
% 12.29/12.45  ;          290 ( 1%) were simplified or subsumed later,
% 12.29/12.45  ;        20183 (99%) are still being kept.
% 12.29/12.45  ; 
% 12.29/12.45  ; Run time in seconds excluding printing time:
% 12.29/12.45  ;     0.001   0%   Read assertion file          (1 call)
% 12.29/12.45  ;     0.000   0%   Assert                       (4 calls)
% 12.29/12.45  ;     2.165  18%   Process new row              (32,279 calls)
% 12.29/12.45  ;     5.358  45%   Resolution                   (760 calls)
% 12.29/12.45  ;     0.286   2%   Paramodulation               (380 calls)
% 12.29/12.45  ;     0.000   0%   Condensing                   (1 call)
% 12.29/12.45  ;     0.000   0%   Forward subsumption          (1 call)
% 12.29/12.45  ;     0.000   0%   Backward subsumption         (1 call)
% 12.29/12.45  ;     2.017  17%   Forward simplification       (32,275 calls)
% 12.29/12.45  ;     2.023  17%   Backward simplification      (20,473 calls)
% 12.29/12.45  ;     0.001   0%   Sortal reasoning             (32 calls)
% 12.29/12.45  ;     0.000   0%   Purity testing               (1 call)
% 12.29/12.45  ;     0.128   1%   Other
% 12.29/12.45  ;    11.979        Total
% 12.29/12.45  ;    11.983        Real time
% 12.29/12.45  ; 
% 12.29/12.45  ; Term-hash-array has 44,294 terms in all.
% 12.29/12.45  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 12.29/12.45  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 12.29/12.45  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 12.29/12.45  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 12.29/12.45  ; Path-index has 43,716 entries (43,716 at peak, 44,305 added, 589 deleted).
% 12.29/12.45  ; Path-index has 1,103 nodes (1,103 at peak, 1,104 added, 1 deleted).
% 12.29/12.45  ; Trie-index has 43,716 entries (43,716 at peak, 44,305 added, 589 deleted).
% 12.29/12.45  ; Trie-index has 67,518 nodes (67,518 at peak, 68,158 added, 640 deleted).
% 12.29/12.45  ; Retrieved 1,119,490 generalization terms in 32,272 calls.
% 12.29/12.45  ; Retrieved 257,396 instance terms in 20,471 calls.
% 12.29/12.45  ; Retrieved 18,127,994 unifiable terms in 13,411 calls.
% 12.29/12.45  ; 
% 12.29/12.45  ; The agenda of rows to process has 92 entries:
% 12.29/12.45  ;     1 with value 8               1 with value 24               4 with value 34
% 12.29/12.45  ;     1 with value 11              3 with value 25               5 with value 35
% 12.29/12.45  ;     2 with value 14              1 with value 26               6 with value 36
% 12.29/12.45  ;     2 with value 16              1 with value 27               3 with value 37
% 12.29/12.45  ;     2 with value 18              1 with value 28               8 with value 38
% 12.29/12.45  ;     1 with value 19              5 with value 30              13 with value 39
% 12.29/12.45  ;     2 with value 21              1 with value 31              11 with value 40
% 12.29/12.45  ;     1 with value 22              5 with value 32               8 with value 41
% 12.29/12.45  ;     1 with value 23              2 with value 33               1 with value 43
% 12.29/12.45  ; The agenda of rows to give has 19821 entries:
% 12.29/12.45  ;     1 with value (4 22)        586 with value (4 31)        1890 with value (4 40)
% 12.29/12.45  ;    11 with value (4 23)        745 with value (4 32)        1457 with value (4 41)
% 12.29/12.45  ;     3 with value (4 24)        945 with value (4 33)         789 with value (4 42)
% 12.29/12.45  ;    42 with value (4 25)       1232 with value (4 34)         396 with value (4 43)
% 12.29/12.45  ;   166 with value (4 26)       1498 with value (4 35)         118 with value (4 44)
% 12.29/12.45  ;   210 with value (4 27)       1839 with value (4 36)          54 with value (4 45)
% 12.29/12.45  ;   274 with value (4 28)       2052 with value (4 37)           6 with value (4 46)
% 12.29/12.45  ;   399 with value (4 29)       2292 with value (4 38)           1 with value (4 47)
% 12.29/12.45  ;   478 with value (4 30)       2337 with value (4 39)
% 12.29/12.45  Evaluation took:
% 12.29/12.45    11.984 seconds of real time
% 12.29/12.45    11.666219 seconds of user run time
% 12.29/12.45    0.315495 seconds of system run time
% 12.29/12.45    [Run times include 1.385 seconds GC run time.]
% 12.29/12.45    0 calls to %EVAL
% 12.29/12.45    0 page faults and
% 12.29/12.45    685,730,720 bytes consed.
% 12.29/12.45  :PROOF-FOUND
% 12.29/12.45  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T18:34:49
% 12.29/12.45  :PROOF-FOUND
% 12.29/12.45  * 
%------------------------------------------------------------------------------