TSTP Solution File: LCL195-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL195-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 14:20:59 EDT 2022

% Result   : Unsatisfiable 24.53s 24.74s
% Output   : Refutation 24.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_4,axiom,
    axiom(or(not(or(X,Y)),or(Y,X))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X,or(Y,Z))),or(Y,or(X,Z)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(X),Y)),or(not(or(Z,X)),or(Z,Y)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ axiom(or(not(Y),X))
    | ~ theorem(Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(rule_3,axiom,
    ( theorem(or(not(X),Y))
    | ~ axiom(or(not(X),Z))
    | ~ theorem(or(not(Z),Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(not(q),r)),or(not(or(q,p)),or(r,p)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(12,plain,
    theorem(or(not(or(X,Y)),or(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_4]) ).

cnf(18,plain,
    ~ theorem(or(not(or(q,p)),or(not(or(not(q),r)),or(r,p)))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,prove_this,axiom_1_5]) ).

cnf(73,plain,
    theorem(or(not(or(X,or(Y,Z))),or(X,or(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,12,axiom_1_6]) ).

cnf(7070,plain,
    theorem(or(not(or(not(X),Y)),or(not(or(Z,X)),or(Y,Z)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,73,axiom_1_6]) ).

cnf(24608,plain,
    ~ theorem(or(not(or(p,q)),or(not(or(not(q),r)),or(r,p)))),
    inference('UR-RESOLVE',[status(thm)],[rule_3,18,axiom_1_4]) ).

cnf(68185,plain,
    theorem(or(not(or(X,Y)),or(not(or(not(Y),Z)),or(Z,X)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,7070,axiom_1_5]) ).

cnf(68186,plain,
    $false,
    inference('REWRITE',[status(thm)],[24608,68185]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL195-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul  4 15:32:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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 2022-07-04T15:32:42
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-04T15:32:42
% 24.53/24.74  
% 24.53/24.74  
% 24.53/24.74  #||
% 24.53/24.74  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.53/24.74  % SZS output start Refutation
% See solution above
% 24.53/24.74  ||#
% 24.53/24.74  
% 24.53/24.74  ; Summary of computation:
% 24.53/24.74  ;     73033 formulas have been input or derived (from 1045 formulas).
% 24.53/24.74  ;     68186 (93%) were retained.  Of these,
% 24.53/24.74  ;          496 ( 1%) were simplified or subsumed later,
% 24.53/24.74  ;        67690 (99%) are still being kept.
% 24.53/24.74  ; 
% 24.53/24.74  ; Run time in seconds excluding printing time:
% 24.53/24.74  ;     0.002   0%   Read assertion file          (1 call)
% 24.53/24.74  ;     0.001   0%   Assert                       (9 calls)
% 24.53/24.74  ;     9.555  39%   Process new row              (71,121 calls)
% 24.53/24.74  ;     4.924  20%   Resolution                   (2,088 calls)
% 24.53/24.74  ;     1.607   7%   Paramodulation               (1,044 calls)
% 24.53/24.74  ;     0.000   0%   Condensing                   (3 calls)
% 24.53/24.74  ;     0.000   0%   Forward subsumption          (3 calls)
% 24.53/24.74  ;     0.000   0%   Backward subsumption         (3 calls)
% 24.53/24.74  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 24.53/24.74  ;     2.302   9%   Forward simplification       (71,121 calls)
% 24.53/24.74  ;     5.554  23%   Backward simplification      (68,186 calls)
% 24.53/24.74  ;     0.000   0%   Sortal reasoning             (32 calls)
% 24.53/24.74  ;     0.000   0%   Purity testing               (1 call)
% 24.53/24.74  ;     0.311   1%   Other
% 24.53/24.74  ;    24.256        Total
% 24.53/24.74  ;    24.263        Real time
% 24.53/24.74  ; 
% 24.53/24.74  ; Term-hash-array has 139,360 terms in all.
% 24.53/24.74  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 24.53/24.74  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 24.53/24.74  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 24.53/24.74  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 24.53/24.74  ; Path-index has 138,381 entries (138,383 at peak, 139,363 added, 982 deleted).
% 24.53/24.74  ; Path-index has 5,581 nodes (5,581 at peak, 5,585 added, 4 deleted).
% 24.53/24.74  ; Trie-index has 138,381 entries (138,383 at peak, 139,363 added, 982 deleted).
% 24.53/24.74  ; Trie-index has 248,435 nodes (248,449 at peak, 249,513 added, 1,078 deleted).
% 24.53/24.74  ; Retrieved 817,230 generalization terms in 71,239 calls.
% 24.53/24.74  ; Retrieved 163,974 instance terms in 68,182 calls.
% 24.53/24.74  ; Retrieved 355,620 unifiable terms in 51,855 calls.
% 24.53/24.74  ; 
% 24.53/24.74  ; The agenda of rows to process has 157 entries:
% 24.53/24.74  ;     1 with value 27              3 with value 34              26 with value 39
% 24.53/24.74  ;     7 with value 29              6 with value 35              24 with value 40
% 24.53/24.74  ;     2 with value 30             15 with value 36              13 with value 41
% 24.53/24.74  ;     2 with value 31             18 with value 37               9 with value 42
% 24.53/24.74  ;     2 with value 32             25 with value 38               2 with value 43
% 24.53/24.74  ;     2 with value 33
% 24.53/24.74  ; The agenda of rows to give has 66657 entries:
% 24.53/24.74  ;   230 with value (4 23)       8659 with value (4 36)           1 with value (4 49)
% 24.53/24.74  ;   441 with value (4 24)       8329 with value (4 37)           1 with value (4 50)
% 24.53/24.74  ;   479 with value (4 25)       5861 with value (4 38)           1 with value (4 51)
% 24.53/24.74  ;   667 with value (4 26)       3441 with value (4 39)           3 with value (4 52)
% 24.53/24.74  ;   813 with value (4 27)       1870 with value (4 40)           1 with value (4 53)
% 24.53/24.74  ;  1185 with value (4 28)       1198 with value (4 41)           2 with value (4 54)
% 24.53/24.74  ;  1556 with value (4 29)        431 with value (4 42)           2 with value (4 55)
% 24.53/24.74  ;  2335 with value (4 30)         45 with value (4 43)           1 with value (4 56)
% 24.53/24.74  ;  2995 with value (4 31)          8 with value (4 44)           1 with value (4 58)
% 24.53/24.74  ;  4243 with value (4 32)          2 with value (4 45)           1 with value (4 59)
% 24.53/24.74  ;  5871 with value (4 33)          3 with value (4 46)           1 with value (4 60)
% 24.53/24.74  ;  7546 with value (4 34)          2 with value (4 47)           1 with value (4 62)
% 24.53/24.74  ;  8428 with value (4 35)          2 with value (4 48)           1 with value (4 63)
% 24.53/24.74  Evaluation took:
% 24.53/24.74    24.268 seconds of real time
% 24.53/24.74    23.319044 seconds of user run time
% 24.53/24.74    0.944168 seconds of system run time
% 24.53/24.74    [Run times include 5.053 seconds GC run time.]
% 24.53/24.74    0 calls to %EVAL
% 24.53/24.74    0 page faults and
% 24.53/24.74    1,100,341,176 bytes consed.
% 24.53/24.74  :PROOF-FOUND
% 24.53/24.74  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T15:33:07
% 24.53/24.74  :PROOF-FOUND
% 24.53/24.74  * 
%------------------------------------------------------------------------------