TSTP Solution File: MGT061-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT061-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 22:25:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   43 (  26 unt;   3 nHn;  41 RR)
%            Number of literals    :   78 (  12 equ;  41 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   32 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_2,axiom,
    ( ~ smaller(X,Y)
    | smaller_or_equal(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).

cnf(definition_smaller_8,axiom,
    ( ~ greater(X,Y)
    | smaller(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).

cnf(meaning_postulate_greater_transitive_10,axiom,
    ( ~ greater(X,Y)
    | ~ greater(Y,Z)
    | greater(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).

cnf(assumption_1_39,axiom,
    ( ~ organization(X)
    | has_endowment(X)
    | ~ has_immunity(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_39) ).

cnf(definition_2_42,axiom,
    ( ~ dissimilar(X,Y,Z)
    | ~ is_aligned(X,Y)
    | ~ is_aligned(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_42) ).

cnf(definition_2_44,axiom,
    ( ~ organization(X)
    | ~ is_aligned(X,Y)
    | is_aligned(X,Z)
    | dissimilar(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_44) ).

cnf(assumption_13_47,axiom,
    ( ~ organization(X)
    | age(X,Y) != zero
    | is_aligned(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_47) ).

cnf(assumption_15_48,axiom,
    ( ~ organization(X)
    | age(X,Y) != zero
    | ~ greater(age(X,Z),sigma)
    | dissimilar(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_48) ).

cnf(assumption_15_49,axiom,
    ( ~ organization(X)
    | age(X,Y) != zero
    | ~ dissimilar(X,Y,Z)
    | greater(age(X,Z),sigma) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_49) ).

cnf(definition_3_50,axiom,
    ( ~ fragile_position(X)
    | ~ smaller_or_equal(age(X,Y),sigma)
    | positional_advantage(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_50) ).

cnf(definition_3_51,axiom,
    ( ~ fragile_position(X)
    | ~ greater(age(X,Y),sigma)
    | ~ positional_advantage(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_51) ).

cnf(assumption_17_57,axiom,
    ( ~ organization(X)
    | has_immunity(X,Y)
    | ~ is_aligned(X,Y)
    | ~ positional_advantage(X,Y)
    | hazard_of_mortality(X,Y) = low ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_57) ).

cnf(assumption_17_60,axiom,
    ( ~ organization(X)
    | has_immunity(X,Y)
    | is_aligned(X,Y)
    | positional_advantage(X,Y)
    | hazard_of_mortality(X,Y) = high ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_60) ).

cnf(assumption_18d_64,axiom,
    greater(high,mod2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d_64) ).

cnf(assumption_18e_65,axiom,
    greater(mod2,low),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e_65) ).

cnf(theorem_7_66,negated_conjecture,
    organization(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_66) ).

cnf(theorem_7_67,negated_conjecture,
    fragile_position(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_67) ).

cnf(theorem_7_68,negated_conjecture,
    ~ has_endowment(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_68) ).

cnf(theorem_7_69,negated_conjecture,
    age(sk2,sk3) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_69) ).

cnf(theorem_7_70,negated_conjecture,
    greater(sigma,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_70) ).

cnf(theorem_7_71,negated_conjecture,
    smaller_or_equal(age(sk2,sk4),sigma),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_71) ).

cnf(theorem_7_72,negated_conjecture,
    greater(age(sk2,sk5),sigma),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_72) ).

cnf(theorem_7_73,negated_conjecture,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7_73) ).

cnf(58,plain,
    smaller(zero,sigma),
    inference('HYPERRESOLVE',[status(thm)],[definition_smaller_8,theorem_7_70]) ).

cnf(67,plain,
    ~ has_immunity(sk2,X),
    inference('UR-RESOLVE',[status(thm)],[assumption_1_39,theorem_7_66,theorem_7_68]) ).

cnf(69,plain,
    greater(high,low),
    inference('HYPERRESOLVE',[status(thm)],[meaning_postulate_greater_transitive_10,assumption_18d_64,assumption_18e_65]) ).

cnf(75,plain,
    is_aligned(sk2,sk3),
    inference('HYPERRESOLVE',[status(thm)],[assumption_13_47,theorem_7_66,theorem_7_69]) ).

cnf(76,plain,
    positional_advantage(sk2,sk4),
    inference('HYPERRESOLVE',[status(thm)],[definition_3_50,theorem_7_67,theorem_7_71]) ).

cnf(77,plain,
    ( ~ smaller_or_equal(zero,sigma)
    | positional_advantage(sk2,sk3) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[definition_3_50,theorem_7_69,theory(equality)]),theorem_7_67]) ).

cnf(78,plain,
    ~ positional_advantage(sk2,sk5),
    inference('UR-RESOLVE',[status(thm)],[definition_3_51,theorem_7_67,theorem_7_72]) ).

cnf(80,plain,
    dissimilar(sk2,sk3,sk5),
    inference('HYPERRESOLVE',[status(thm)],[assumption_15_48,theorem_7_66,theorem_7_69,theorem_7_72]) ).

cnf(89,plain,
    smaller_or_equal(zero,sigma),
    inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_2,58]) ).

cnf(90,plain,
    positional_advantage(sk2,sk3),
    inference('REWRITE',[status(thm)],[77,89]) ).

cnf(112,plain,
    ~ greater(age(sk2,sk4),sigma),
    inference('UR-RESOLVE',[status(thm)],[definition_3_51,76,theorem_7_67]) ).

cnf(115,plain,
    hazard_of_mortality(sk2,sk3) = low,
    inference('UR-RESOLVE',[status(thm)],[assumption_17_57,90,theorem_7_66,67,75]) ).

cnf(116,plain,
    ( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
    | hazard_of_mortality(sk2,sk4) != low ),
    inference('REWRITE',[status(thm)],[theorem_7_73,115,theory(equality)]) ).

cnf(117,plain,
    ~ is_aligned(sk2,sk5),
    inference('UR-RESOLVE',[status(thm)],[definition_2_42,80,75]) ).

cnf(129,plain,
    hazard_of_mortality(sk2,sk5) = high,
    inference('UR-RESOLVE',[status(thm)],[assumption_17_60,117,theorem_7_66,67,78]) ).

cnf(130,plain,
    ( ~ greater(high,hazard_of_mortality(sk2,sk4))
    | hazard_of_mortality(sk2,sk4) != low ),
    inference('REWRITE',[status(thm)],[116,129,theory(equality)]) ).

cnf(138,plain,
    ~ dissimilar(sk2,sk3,sk4),
    inference('UR-RESOLVE',[status(thm)],[assumption_15_49,112,theorem_7_66,theorem_7_69]) ).

cnf(141,plain,
    is_aligned(sk2,sk4),
    inference('UR-RESOLVE',[status(thm)],[definition_2_44,138,theorem_7_66,75]) ).

cnf(146,plain,
    hazard_of_mortality(sk2,sk4) = low,
    inference('UR-RESOLVE',[status(thm)],[assumption_17_57,141,theorem_7_66,67,76]) ).

cnf(147,plain,
    $false,
    inference('REWRITE',[status(thm)],[130,69,146,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT061-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 : Thu Jun  9 08:59:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T08:59:49
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-09T08:59:49
% 0.20/0.54  
% 0.20/0.54  
% 0.20/0.54  #||
% 0.20/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54  % SZS output start Refutation
% See solution above
% 0.20/0.55  ||#
% 0.20/0.55  
% 0.20/0.55  ; Summary of computation:
% 0.20/0.55  ;       338 formulas have been input or derived (from 120 formulas).
% 0.20/0.55  ;       147 (43%) were retained.  Of these,
% 0.20/0.55  ;            5 ( 3%) were simplified or subsumed later,
% 0.20/0.55  ;          142 (97%) are still being kept.
% 0.20/0.55  ; 
% 0.20/0.55  ; Run time in seconds excluding printing time:
% 0.20/0.55  ;     0.008  13%   Read assertion file          (1 call)
% 0.20/0.55  ;     0.002   3%   Assert                       (46 calls)
% 0.20/0.55  ;     0.008  13%   Process new row              (317 calls)
% 0.20/0.55  ;     0.011  18%   Resolution                   (238 calls)
% 0.20/0.55  ;     0.001   2%   Paramodulation               (119 calls)
% 0.20/0.55  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.55  ;     0.001   2%   Condensing                   (45 calls)
% 0.20/0.55  ;     0.003   5%   Forward subsumption          (45 calls)
% 0.20/0.55  ;     0.001   2%   Backward subsumption         (44 calls)
% 0.20/0.55  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.20/0.55  ;     0.001   2%   Forward simplification       (317 calls)
% 0.20/0.55  ;     0.002   3%   Backward simplification      (147 calls)
% 0.20/0.55  ;     0.000   0%   Ordering                     (47 calls)
% 0.20/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.55  ;     0.024  39%   Other
% 0.20/0.55  ;     0.062        Total
% 0.20/0.55  ;     0.067        Real time
% 0.20/0.55  ; 
% 0.20/0.55  ; Term-hash-array has 159 terms in all.
% 0.20/0.55  ; Feature-vector-row-index has 39 entries (41 at peak, 44 added, 5 deleted).
% 0.20/0.55  ; Feature-vector-row-index has 147 nodes (171 at peak, 204 added, 57 deleted).
% 0.20/0.55  ;  Retrieved 11 possibly forward subsuming rows in 45 calls.
% 0.20/0.55  ;  Retrieved 3 possibly backward subsumed rows in 44 calls.
% 0.20/0.55  ; Path-index has 166 entries (167 at peak, 174 added, 8 deleted).
% 0.20/0.55  ; Path-index has 238 nodes (240 at peak, 250 added, 12 deleted).
% 0.20/0.55  ; Trie-index has 166 entries (167 at peak, 174 added, 8 deleted).
% 0.20/0.55  ; Trie-index has 277 nodes (280 at peak, 299 added, 22 deleted).
% 0.20/0.55  ; Retrieved 218 generalization terms in 367 calls.
% 0.20/0.55  ; Retrieved 114 instance terms in 102 calls.
% 0.20/0.55  ; Retrieved 2,548 unifiable terms in 1,257 calls.
% 0.20/0.55  ; 
% 0.20/0.55  ; The agenda of rows to process has 4 entries:
% 0.20/0.55  ;     2 with value 14              1 with value 16               1 with value 20
% 0.20/0.55  ; The agenda of rows to give has 25 entries:
% 0.20/0.55  ;     6 with value (4 9)           2 with value (4 12)           1 with value (4 16)
% 0.20/0.55  ;     8 with value (4 10)          4 with value (4 13)           1 with value (4 28)
% 0.20/0.55  ;     2 with value (4 11)          1 with value (4 15)
% 0.20/0.55  Evaluation took:
% 0.20/0.55    0.067 seconds of real time
% 0.20/0.55    0.058588 seconds of user run time
% 0.20/0.55    0.008173 seconds of system run time
% 0.20/0.55    0 calls to %EVAL
% 0.20/0.55    0 page faults and
% 0.20/0.55    5,273,328 bytes consed.
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T08:59:50
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  * 
%------------------------------------------------------------------------------