TSTP Solution File: LCL176-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 14:20:46 EDT 2022

% Result   : Unsatisfiable 0.46s 0.72s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (  12 unt;   0 nHn;   5 RR)
%            Number of literals    :   17 (   1 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   23 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
    axiom(implies(or(X,X),X)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X,or(Y,X))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

cnf(implies_definition,axiom,
    implies(X,Y) = or(not(X),Y),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

cnf(rule_1,axiom,
    ( theorem(X)
    | ~ axiom(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

cnf(rule_2,axiom,
    ( theorem(X)
    | ~ theorem(implies(Y,X))
    | ~ theorem(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(implies(p,p)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(11,plain,
    theorem(implies(or(X,X),X)),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_2]) ).

cnf(12,plain,
    theorem(implies(X,or(Y,X))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_3]) ).

cnf(21,plain,
    theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y)))),
    inference('HYPERRESOLVE',[status(thm)],[rule_1,axiom_1_6]) ).

cnf(29,plain,
    ~ theorem(implies(implies(X,or(Y,X)),implies(p,p))),
    inference('UR-RESOLVE',[status(thm)],[rule_2,12,prove_this]) ).

cnf(447,plain,
    theorem(implies(or(X,or(Y,Y)),or(X,Y))),
    inference('HYPERRESOLVE',[status(thm)],[rule_2,21,11]) ).

cnf(477,plain,
    theorem(implies(implies(X,or(Y,Y)),implies(X,Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[447,implies_definition,theory(equality)]),implies_definition,theory(equality)]) ).

cnf(1067,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[29,477]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL176-3 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul  4 04:39:56 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.50  #<PACKAGE "SNARK-USER">
% 0.20/0.50  * 
% 0.20/0.50  SNARK-TPTP-OPTIONS
% 0.20/0.50  * 
% 0.20/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50   (USE-FACTORING :POS)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50  * 
% 0.20/0.50  "."
% 0.20/0.50  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T04:39:56
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-04T04:39:56
% 0.46/0.72  
% 0.46/0.72  
% 0.46/0.72  #||
% 0.46/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.72  % SZS output start Refutation
% See solution above
% 0.46/0.72  ||#
% 0.46/0.72  
% 0.46/0.72  ; Summary of computation:
% 0.46/0.72  ;      1984 formulas have been input or derived (from 94 formulas).
% 0.46/0.72  ;      1067 (54%) were retained.  Of these,
% 0.46/0.72  ;         1067 (100%) are still being kept.
% 0.46/0.72  ; 
% 0.46/0.72  ; Run time in seconds excluding printing time:
% 0.46/0.72  ;     0.002   1%   Read assertion file          (1 call)
% 0.46/0.72  ;     0.001   0%   Assert                       (9 calls)
% 0.46/0.72  ;     0.097  44%   Process new row              (1,612 calls)
% 0.46/0.72  ;     0.028  13%   Resolution                   (186 calls)
% 0.46/0.72  ;     0.010   5%   Paramodulation               (93 calls)
% 0.46/0.72  ;     0.000   0%   Condensing                   (2 calls)
% 0.46/0.72  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.46/0.72  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.46/0.72  ;     0.024  11%   Forward simplification       (1,612 calls)
% 0.46/0.72  ;     0.022  10%   Backward simplification      (1,067 calls)
% 0.46/0.72  ;     0.000   0%   Ordering                     (73 calls)
% 0.46/0.72  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.46/0.72  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.72  ;     0.034  16%   Other
% 0.46/0.72  ;     0.219        Total
% 0.46/0.72  ;     0.221        Real time
% 0.46/0.72  ; 
% 0.46/0.72  ; Term-hash-array has 2,329 terms in all.
% 0.46/0.72  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.46/0.72  ; Feature-vector-row-index has 6 nodes (6 at peak, 6 added, 0 deleted).
% 0.46/0.72  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.46/0.72  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.46/0.72  ; Path-index has 2,330 entries (2,330 at peak, 2,330 added, 0 deleted).
% 0.46/0.72  ; Path-index has 2,660 nodes (2,660 at peak, 2,660 added, 0 deleted).
% 0.46/0.72  ; Trie-index has 2,330 entries (2,330 at peak, 2,330 added, 0 deleted).
% 0.46/0.72  ; Trie-index has 9,062 nodes (9,062 at peak, 9,062 added, 0 deleted).
% 0.46/0.72  ; Retrieved 3,528 generalization terms in 4,289 calls.
% 0.46/0.72  ; Retrieved 1,273 instance terms in 1,064 calls.
% 0.46/0.72  ; Retrieved 18,593 unifiable terms in 1,314 calls.
% 0.46/0.72  ; 
% 0.46/0.72  ; The agenda of rows to process has 69 entries:
% 0.46/0.72  ;     1 with value 10              4 with value 20               2 with value 26
% 0.46/0.72  ;     9 with value 13              8 with value 21               4 with value 27
% 0.46/0.72  ;     6 with value 15              3 with value 22               5 with value 28
% 0.46/0.72  ;     4 with value 16              3 with value 23               7 with value 29
% 0.46/0.72  ;     7 with value 18              2 with value 24               1 with value 33
% 0.46/0.72  ;     3 with value 19
% 0.46/0.72  ; The agenda of rows to give has 973 entries:
% 0.46/0.72  ;     8 with value (4 17)         57 with value (4 23)          78 with value (4 29)
% 0.46/0.72  ;    32 with value (4 18)         81 with value (4 24)          16 with value (4 30)
% 0.46/0.72  ;    45 with value (4 19)         85 with value (4 25)          13 with value (4 31)
% 0.46/0.72  ;    40 with value (4 20)        138 with value (4 26)           4 with value (4 32)
% 0.46/0.72  ;    71 with value (4 21)        142 with value (4 27)           8 with value (4 33)
% 0.46/0.72  ;    53 with value (4 22)        100 with value (4 28)           2 with value (4 37)
% 0.46/0.72  Evaluation took:
% 0.46/0.72    0.221 seconds of real time
% 0.46/0.72    0.186764 seconds of user run time
% 0.46/0.72    0.033937 seconds of system run time
% 0.46/0.72    [Run times include 0.018 seconds GC run time.]
% 0.46/0.72    0 calls to %EVAL
% 0.46/0.72    0 page faults and
% 0.46/0.72    14,177,960 bytes consed.
% 0.46/0.72  :PROOF-FOUND
% 0.46/0.72  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-04T04:39:57
% 0.46/0.72  :PROOF-FOUND
% 0.46/0.72  * 
%------------------------------------------------------------------------------