TSTP Solution File: LCL192-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL192-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n012.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 14:20:57 EDT 2022

% Result   : Unsatisfiable 0.99s 1.19s
% Output   : Refutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;   6 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   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   :   19 (   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(or(p,q),r)),or(p,or(q,r)))),
    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(20,plain,
    ~ theorem(or(not(or(r,or(p,q))),or(p,or(q,r)))),
    inference('UR-RESOLVE',[status(thm)],[rule_3,prove_this,axiom_1_4]) ).

cnf(208,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(4357,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_3,20,axiom_1_5]),208]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL192-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul  4 16:21:46 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  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T16:21:46
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-04T16:21:46
% 0.99/1.19  
% 0.99/1.19  
% 0.99/1.19  #||
% 0.99/1.19  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.99/1.19  % SZS output start Refutation
% See solution above
% 0.99/1.19  ||#
% 0.99/1.19  
% 0.99/1.19  ; Summary of computation:
% 0.99/1.19  ;      5186 formulas have been input or derived (from 189 formulas).
% 0.99/1.19  ;      4357 (84%) were retained.  Of these,
% 0.99/1.19  ;         4357 (100%) are still being kept.
% 0.99/1.19  ; 
% 0.99/1.19  ; Run time in seconds excluding printing time:
% 0.99/1.19  ;     0.002   0%   Read assertion file          (1 call)
% 0.99/1.19  ;     0.000   0%   Assert                       (9 calls)
% 0.99/1.19  ;     0.350  49%   Process new row              (4,843 calls)
% 0.99/1.19  ;     0.106  15%   Resolution                   (376 calls)
% 0.99/1.19  ;     0.020   3%   Paramodulation               (188 calls)
% 0.99/1.19  ;     0.000   0%   Condensing                   (3 calls)
% 0.99/1.19  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.99/1.19  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.99/1.19  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.99/1.19  ;     0.079  11%   Forward simplification       (4,843 calls)
% 0.99/1.19  ;     0.124  17%   Backward simplification      (4,357 calls)
% 0.99/1.19  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.99/1.19  ;     0.000   0%   Purity testing               (1 call)
% 0.99/1.19  ;     0.039   5%   Other
% 0.99/1.19  ;     0.720        Total
% 0.99/1.19  ;     0.722        Real time
% 0.99/1.19  ; 
% 0.99/1.19  ; Term-hash-array has 9,098 terms in all.
% 0.99/1.19  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.99/1.19  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.99/1.19  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 0.99/1.19  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.99/1.19  ; Path-index has 9,101 entries (9,101 at peak, 9,101 added, 0 deleted).
% 0.99/1.19  ; Path-index has 1,707 nodes (1,707 at peak, 1,707 added, 0 deleted).
% 0.99/1.19  ; Trie-index has 9,101 entries (9,101 at peak, 9,101 added, 0 deleted).
% 0.99/1.19  ; Trie-index has 15,727 nodes (15,727 at peak, 15,727 added, 0 deleted).
% 0.99/1.19  ; Retrieved 30,415 generalization terms in 4,861 calls.
% 0.99/1.19  ; Retrieved 7,767 instance terms in 4,353 calls.
% 0.99/1.19  ; Retrieved 22,576 unifiable terms in 4,261 calls.
% 0.99/1.19  ; 
% 0.99/1.19  ; The agenda of rows to process has 83 entries:
% 0.99/1.19  ;     2 with value 20              1 with value 28              11 with value 33
% 0.99/1.19  ;     2 with value 21              3 with value 29              19 with value 34
% 0.99/1.19  ;     2 with value 23              4 with value 30              25 with value 35
% 0.99/1.19  ;     1 with value 25              4 with value 31               1 with value 36
% 0.99/1.19  ;     1 with value 26              6 with value 32               1 with value 40
% 0.99/1.19  ; The agenda of rows to give has 4168 entries:
% 0.99/1.19  ;     2 with value (4 17)        216 with value (4 25)         222 with value (4 33)
% 0.99/1.19  ;     1 with value (4 18)        308 with value (4 26)         129 with value (4 34)
% 0.99/1.19  ;    62 with value (4 19)        248 with value (4 27)          71 with value (4 35)
% 0.99/1.19  ;    70 with value (4 20)        367 with value (4 28)          15 with value (4 36)
% 0.99/1.19  ;    63 with value (4 21)        376 with value (4 29)           5 with value (4 37)
% 0.99/1.19  ;   102 with value (4 22)        556 with value (4 30)           1 with value (4 38)
% 0.99/1.19  ;   144 with value (4 23)        617 with value (4 31)           1 with value (4 40)
% 0.99/1.19  ;   180 with value (4 24)        410 with value (4 32)           2 with value (4 43)
% 0.99/1.19  Evaluation took:
% 0.99/1.19    0.722 seconds of real time
% 0.99/1.19    0.674815 seconds of user run time
% 0.99/1.19    0.047175 seconds of system run time
% 0.99/1.19    [Run times include 0.059 seconds GC run time.]
% 0.99/1.19    0 calls to %EVAL
% 0.99/1.19    0 page faults and
% 0.99/1.19    52,719,000 bytes consed.
% 0.99/1.19  :PROOF-FOUND
% 0.99/1.19  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T16:21:47
% 0.99/1.19  :PROOF-FOUND
% 0.99/1.19  * 
%------------------------------------------------------------------------------