TSTP Solution File: LCL202-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL202-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 14:21:05 EDT 2022

% Result   : Unsatisfiable 0.55s 0.72s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (  12 unt;   0 nHn;   7 RR)
%            Number of literals    :   20 (   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
    axiom(or(not(or(X,X)),X)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X),or(Y,X))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

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(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(not(or(p,q))),or(p,not(q)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(11,plain,
    theorem(or(not(or(X,X)),X)),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).

cnf(17,plain,
    ~ theorem(or(p,or(not(not(or(p,q))),not(q)))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,axiom_1_5,prove_this]) ).

cnf(51,plain,
    theorem(or(not(X),X)),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,11,axiom_1_3]) ).

cnf(66,plain,
    theorem(or(X,not(X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,51,axiom_1_4]) ).

cnf(77,plain,
    theorem(or(not(X),not(not(or(Y,X))))),
    inference('HYPERRESOLVE',[status(thm)],[rule_3,66,axiom_1_3]) ).

cnf(1244,plain,
    ~ theorem(or(not(not(or(p,q))),not(q))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,17,axiom_1_3]) ).

cnf(1294,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[rule_2,1244,axiom_1_4]),77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL202-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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 : Sun Jul  3 13:46:30 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  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T13:46:30
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-03T13:46:30
% 0.55/0.72  
% 0.55/0.72  
% 0.55/0.72  #||
% 0.55/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.72  % SZS output start Refutation
% See solution above
% 0.55/0.72  ||#
% 0.55/0.72  
% 0.55/0.72  ; Summary of computation:
% 0.55/0.72  ;      1824 formulas have been input or derived (from 103 formulas).
% 0.55/0.72  ;      1294 (71%) were retained.  Of these,
% 0.55/0.72  ;            1 ( 0%) were simplified or subsumed later,
% 0.55/0.72  ;         1293 (100%) are still being kept.
% 0.55/0.72  ; 
% 0.55/0.72  ; Run time in seconds excluding printing time:
% 0.55/0.72  ;     0.002   1%   Read assertion file          (1 call)
% 0.55/0.72  ;     0.001   0%   Assert                       (9 calls)
% 0.55/0.72  ;     0.099  41%   Process new row              (1,611 calls)
% 0.55/0.72  ;     0.034  14%   Resolution                   (204 calls)
% 0.55/0.72  ;     0.006   2%   Paramodulation               (102 calls)
% 0.55/0.72  ;     0.000   0%   Condensing                   (3 calls)
% 0.55/0.72  ;     0.000   0%   Forward subsumption          (3 calls)
% 0.55/0.72  ;     0.000   0%   Backward subsumption         (3 calls)
% 0.55/0.72  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.55/0.72  ;     0.039  16%   Forward simplification       (1,611 calls)
% 0.55/0.72  ;     0.033  14%   Backward simplification      (1,294 calls)
% 0.55/0.72  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.55/0.72  ;     0.000   0%   Purity testing               (1 call)
% 0.55/0.72  ;     0.029  12%   Other
% 0.55/0.72  ;     0.244        Total
% 0.55/0.72  ;     0.245        Real time
% 0.55/0.72  ; 
% 0.55/0.72  ; Term-hash-array has 2,897 terms in all.
% 0.55/0.72  ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.55/0.72  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.55/0.72  ;  Retrieved 3 possibly forward subsuming rows in 3 calls.
% 0.55/0.72  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.55/0.72  ; Path-index has 2,898 entries (2,898 at peak, 2,900 added, 2 deleted).
% 0.55/0.72  ; Path-index has 1,293 nodes (1,293 at peak, 1,293 added, 0 deleted).
% 0.55/0.72  ; Trie-index has 2,898 entries (2,898 at peak, 2,900 added, 2 deleted).
% 0.55/0.72  ; Trie-index has 7,031 nodes (7,031 at peak, 7,031 added, 0 deleted).
% 0.55/0.72  ; Retrieved 7,974 generalization terms in 1,614 calls.
% 0.55/0.72  ; Retrieved 2,296 instance terms in 1,290 calls.
% 0.55/0.72  ; Retrieved 7,561 unifiable terms in 1,780 calls.
% 0.55/0.72  ; 
% 0.55/0.72  ; The agenda of rows to process has 50 entries:
% 0.55/0.72  ;     1 with value 17              1 with value 25               7 with value 28
% 0.55/0.72  ;     2 with value 20              6 with value 26              11 with value 29
% 0.55/0.72  ;     1 with value 24              4 with value 27              17 with value 30
% 0.55/0.72  ; The agenda of rows to give has 1190 entries:
% 0.55/0.72  ;    34 with value (4 18)         61 with value (4 24)         128 with value (4 30)
% 0.55/0.72  ;    24 with value (4 19)         98 with value (4 25)          93 with value (4 31)
% 0.55/0.72  ;    42 with value (4 20)        114 with value (4 26)          57 with value (4 32)
% 0.55/0.72  ;    42 with value (4 21)        121 with value (4 27)          14 with value (4 33)
% 0.55/0.72  ;    48 with value (4 22)        143 with value (4 28)           1 with value (4 34)
% 0.55/0.72  ;    74 with value (4 23)         95 with value (4 29)           1 with value (4 38)
% 0.55/0.72  Evaluation took:
% 0.55/0.72    0.247 seconds of real time
% 0.55/0.72    0.219187 seconds of user run time
% 0.55/0.72    0.027022 seconds of system run time
% 0.55/0.72    [Run times include 0.013 seconds GC run time.]
% 0.55/0.72    0 calls to %EVAL
% 0.55/0.72    0 page faults and
% 0.55/0.72    16,925,624 bytes consed.
% 0.55/0.72  :PROOF-FOUND
% 0.55/0.72  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-03T13:46:30
% 0.55/0.72  :PROOF-FOUND
% 0.55/0.72  * 
%------------------------------------------------------------------------------