TSTP Solution File: MGT050-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT050-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 22:25:38 EDT 2022

% Result   : Unsatisfiable 0.12s 0.40s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   25 (  15 unt;   1 nHn;  18 RR)
%            Number of literals    :   44 (   9 equ;  21 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   37 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_3,axiom,
    ( X != Y
    | smaller_or_equal(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).

cnf(definition_greater_or_equal_6,axiom,
    ( X != Y
    | greater_or_equal(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).

cnf(definition_smaller_7,axiom,
    ( ~ smaller(X,Y)
    | greater(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).

cnf(assumption_1_41,axiom,
    ( ~ organization(X)
    | has_endowment(X)
    | ~ has_immunity(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_41) ).

cnf(assumption_4_42,axiom,
    ( ~ organization(X)
    | has_immunity(X,Y)
    | has_immunity(X,Z)
    | ~ greater(capability(X,Z),capability(X,Y))
    | ~ greater_or_equal(position(X,Z),position(X,Y))
    | smaller(hazard_of_mortality(X,Z),hazard_of_mortality(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_42) ).

cnf(assumption_5_46,axiom,
    ( ~ organization(X)
    | ~ smaller_or_equal(stock_of_knowledge(X,Y),stock_of_knowledge(X,Z))
    | ~ greater(internal_friction(X,Y),internal_friction(X,Z))
    | smaller(capability(X,Y),capability(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_46) ).

cnf(assumption_6_49,axiom,
    ( ~ organization(X)
    | external_ties(X,Y) != external_ties(X,Z)
    | position(X,Z) = position(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_49) ).

cnf(assumption_10_50,axiom,
    ( ~ organization(X)
    | stock_of_knowledge(X,Y) = stock_of_knowledge(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10_50) ).

cnf(assumption_11_51,axiom,
    ( ~ organization(X)
    | external_ties(X,Y) = external_ties(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11_51) ).

cnf(assumption_12_52,axiom,
    ( ~ organization(X)
    | ~ greater(age(X,Y),age(X,Z))
    | greater(internal_friction(X,Y),internal_friction(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12_52) ).

cnf(theorem_3_53,negated_conjecture,
    organization(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_53) ).

cnf(theorem_3_54,negated_conjecture,
    ~ has_endowment(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_54) ).

cnf(theorem_3_55,negated_conjecture,
    greater(age(sk1,sk3),age(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_55) ).

cnf(theorem_3_56,negated_conjecture,
    ~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_56) ).

cnf(33,plain,
    ~ smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)),
    inference('UR-RESOLVE',[status(thm)],[definition_smaller_7,theorem_3_56]) ).

cnf(34,plain,
    ~ has_immunity(sk1,X),
    inference('UR-RESOLVE',[status(thm)],[assumption_1_41,theorem_3_53,theorem_3_54]) ).

cnf(37,plain,
    stock_of_knowledge(sk1,X) = stock_of_knowledge(sk1,Y),
    inference('HYPERRESOLVE',[status(thm)],[assumption_10_50,theorem_3_53]) ).

cnf(38,plain,
    external_ties(sk1,X) = external_ties(sk1,Y),
    inference('HYPERRESOLVE',[status(thm)],[assumption_11_51,theorem_3_53]) ).

cnf(39,plain,
    greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
    inference('HYPERRESOLVE',[status(thm)],[assumption_12_52,theorem_3_53,theorem_3_55]) ).

cnf(44,plain,
    smaller_or_equal(stock_of_knowledge(sk1,X),stock_of_knowledge(sk1,Y)),
    inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_3,37]) ).

cnf(49,plain,
    position(sk1,X) = position(sk1,Y),
    inference('HYPERRESOLVE',[status(thm)],[assumption_6_49,38,theorem_3_53]) ).

cnf(57,plain,
    smaller(capability(sk1,sk3),capability(sk1,sk2)),
    inference('HYPERRESOLVE',[status(thm)],[assumption_5_46,44,theorem_3_53,39]) ).

cnf(58,plain,
    greater_or_equal(position(sk1,X),position(sk1,Y)),
    inference('HYPERRESOLVE',[status(thm)],[definition_greater_or_equal_6,49]) ).

cnf(66,plain,
    greater(capability(sk1,sk2),capability(sk1,sk3)),
    inference('HYPERRESOLVE',[status(thm)],[definition_smaller_7,57]) ).

cnf(68,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[assumption_4_42,58,theorem_3_53,34,34,33]),66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem  : MGT050-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.09  % Command  : run-snark %s %d
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 600
% 0.08/0.27  % DateTime : Thu Jun  9 09:05:37 EDT 2022
% 0.08/0.27  % CPUTime  : 
% 0.12/0.36  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  * 
% 0.12/0.36  * 
% 0.12/0.37  #<PACKAGE "SNARK-USER">
% 0.12/0.37  * 
% 0.12/0.37  SNARK-TPTP-OPTIONS
% 0.12/0.37  * 
% 0.12/0.37  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.12/0.37   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.12/0.37   (USE-FACTORING :POS)
% 0.12/0.37   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.12/0.37   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.12/0.37   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.12/0.37   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.12/0.37   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.12/0.37   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.12/0.37   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.12/0.37   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.12/0.37   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.12/0.37   (DECLARE-TPTP-SYMBOLS2))
% 0.12/0.37  * 
% 0.12/0.37  "."
% 0.12/0.37  * 
% 0.12/0.37  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T09:05:37
% 0.12/0.37  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-09T09:05:37
% 0.12/0.40  
% 0.12/0.40  
% 0.12/0.40  #||
% 0.12/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40  % SZS output start Refutation
% See solution above
% 0.12/0.40  ||#
% 0.12/0.40  
% 0.12/0.40  ; Summary of computation:
% 0.12/0.40  ;       192 formulas have been input or derived (from 50 formulas).
% 0.12/0.40  ;        68 (35%) were retained.  Of these,
% 0.12/0.40  ;           68 (100%) are still being kept.
% 0.12/0.40  ; 
% 0.12/0.40  ; Run time in seconds excluding printing time:
% 0.12/0.40  ;     0.004  12%   Read assertion file          (1 call)
% 0.12/0.40  ;     0.001   3%   Assert                       (27 calls)
% 0.12/0.40  ;     0.003   9%   Process new row              (176 calls)
% 0.12/0.40  ;     0.004  12%   Resolution                   (98 calls)
% 0.12/0.40  ;     0.001   3%   Paramodulation               (49 calls)
% 0.12/0.40  ;     0.000   0%   Factoring                    (1 call)
% 0.12/0.40  ;     0.000   0%   Condensing                   (54 calls)
% 0.12/0.40  ;     0.002   6%   Forward subsumption          (54 calls)
% 0.12/0.40  ;     0.000   0%   Backward subsumption         (36 calls)
% 0.12/0.40  ;     0.000   0%   Clause clause subsumption    (39 calls)
% 0.12/0.40  ;     0.004  12%   Forward simplification       (176 calls)
% 0.12/0.40  ;     0.000   0%   Backward simplification      (68 calls)
% 0.12/0.40  ;     0.000   0%   Ordering                     (77 calls)
% 0.12/0.40  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.12/0.40  ;     0.000   0%   Purity testing               (1 call)
% 0.12/0.40  ;     0.014  42%   Other
% 0.12/0.40  ;     0.033        Total
% 0.12/0.40  ;     0.035        Real time
% 0.12/0.40  ; 
% 0.12/0.40  ; Term-hash-array has 119 terms in all.
% 0.12/0.40  ; Feature-vector-row-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.12/0.40  ; Feature-vector-row-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 0.12/0.40  ;  Retrieved 57 possibly forward subsuming rows in 54 calls.
% 0.12/0.40  ;  Retrieved 7 possibly backward subsumed rows in 36 calls.
% 0.12/0.40  ; Path-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.12/0.40  ; Path-index has 402 nodes (402 at peak, 402 added, 0 deleted).
% 0.12/0.40  ; Trie-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.12/0.40  ; Trie-index has 380 nodes (380 at peak, 380 added, 0 deleted).
% 0.12/0.40  ; Retrieved 176 generalization terms in 259 calls.
% 0.12/0.40  ; Retrieved 37 instance terms in 31 calls.
% 0.12/0.40  ; Retrieved 1,335 unifiable terms in 618 calls.
% 0.12/0.40  ; 
% 0.12/0.40  ; The agenda of rows to process has 5 entries:
% 0.12/0.40  ;     4 with value 13              1 with value 22
% 0.12/0.40  ; The agenda of rows to give has 18 entries:
% 0.12/0.40  ;     3 with value (4 12)          5 with value (4 20)           2 with value (4 29)
% 0.12/0.40  ;     4 with value (4 13)          2 with value (4 21)           2 with value (4 30)
% 0.12/0.40  Evaluation took:
% 0.12/0.40    0.036 seconds of real time
% 0.12/0.40    0.030629 seconds of user run time
% 0.12/0.40    0.00506 seconds of system run time
% 0.12/0.40    0 calls to %EVAL
% 0.12/0.40    0 page faults and
% 0.12/0.40    4,151,560 bytes consed.
% 0.12/0.40  :PROOF-FOUND
% 0.12/0.40  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T09:05:37
% 0.12/0.40  :PROOF-FOUND
% 0.12/0.40  * 
%------------------------------------------------------------------------------