TSTP Solution File: MGT055+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 22:25:41 EDT 2022

% Result   : Theorem 0.43s 0.59s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   52 (  31 unt;   6 nHn;  49 RR)
%            Number of literals    :   95 (  11 equ;  49 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   43 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ smaller_or_equal(X,Y)
    | smaller(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

cnf(2,axiom,
    ( smaller_or_equal(X,Y)
    | ~ smaller(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).

cnf(7,axiom,
    ( ~ smaller(X,Y)
    | greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

cnf(8,axiom,
    ( smaller(X,Y)
    | ~ greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).

cnf(9,axiom,
    ( ~ greater(X,Y)
    | ~ greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).

cnf(10,axiom,
    ( ~ greater(X,Y)
    | ~ greater(Y,Z)
    | greater(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).

cnf(13,axiom,
    ( ~ has_endowment(X)
    | ~ smaller_or_equal(age(X,Y),eta)
    | has_immunity(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).

cnf(14,axiom,
    ( ~ has_endowment(X)
    | ~ greater(age(X,Y),eta)
    | ~ has_immunity(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).

cnf(18,axiom,
    ( ~ organization(X)
    | ~ has_immunity(X,Y)
    | ~ has_immunity(X,Z)
    | hazard_of_mortality(X,Y) = hazard_of_mortality(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).

cnf(19,axiom,
    ( ~ organization(X)
    | ~ has_immunity(X,Y)
    | has_immunity(X,Z)
    | greater(hazard_of_mortality(X,Z),hazard_of_mortality(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).

cnf(21,axiom,
    ( ~ dissimilar(X,Y,Z)
    | ~ is_aligned(X,Y)
    | ~ is_aligned(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).

cnf(23,axiom,
    ( dissimilar(X,Y,Z)
    | ~ organization(X)
    | ~ is_aligned(X,Y)
    | is_aligned(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).

cnf(25,axiom,
    ( ~ organization(X)
    | age(X,Y) != zero
    | is_aligned(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).

cnf(26,axiom,
    ( ~ organization(X)
    | ~ is_aligned(X,Y)
    | is_aligned(X,Z)
    | greater(capability(X,Y),capability(X,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14) ).

cnf(27,axiom,
    ( ~ organization(X)
    | age(X,Y) != zero
    | ~ greater(age(X,Z),sigma)
    | dissimilar(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).

cnf(28,axiom,
    ( ~ organization(X)
    | age(X,Y) != zero
    | greater(age(X,Z),sigma)
    | ~ dissimilar(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).

cnf(29,axiom,
    ( ~ organization(X)
    | has_immunity(X,Y)
    | has_immunity(X,Z)
    | ~ greater(capability(X,Z),capability(X,Y))
    | greater(hazard_of_mortality(X,Y),hazard_of_mortality(X,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16) ).

cnf(30,negated_conjecture,
    organization('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(31,negated_conjecture,
    has_endowment('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(32,negated_conjecture,
    age('SKOLEMAAAV2','SKOLEMAAAV3') = zero,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(33,negated_conjecture,
    smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV4'),eta),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(34,negated_conjecture,
    greater(age('SKOLEMAAAV2','SKOLEMAAAV5'),eta),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(35,negated_conjecture,
    smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV5'),sigma),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(36,negated_conjecture,
    greater(age('SKOLEMAAAV2','SKOLEMAAAV6'),sigma),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(37,negated_conjecture,
    greater(sigma,eta),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(38,negated_conjecture,
    greater(eta,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(39,negated_conjecture,
    ( ~ greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'))
    | ~ greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4'))
    | hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8) ).

cnf(46,plain,
    smaller(zero,eta),
    inference('HYPERRESOLVE',[status(thm)],[8,38]) ).

cnf(54,plain,
    ( smaller(age('SKOLEMAAAV2','SKOLEMAAAV5'),sigma)
    | age('SKOLEMAAAV2','SKOLEMAAAV5') = sigma ),
    inference('HYPERRESOLVE',[status(thm)],[1,35]) ).

cnf(57,plain,
    greater(age('SKOLEMAAAV2','SKOLEMAAAV6'),eta),
    inference('HYPERRESOLVE',[status(thm)],[10,36,37]) ).

cnf(61,plain,
    has_immunity('SKOLEMAAAV2','SKOLEMAAAV4'),
    inference('HYPERRESOLVE',[status(thm)],[13,31,33]) ).

cnf(62,plain,
    ( ~ smaller_or_equal(zero,eta)
    | has_immunity('SKOLEMAAAV2','SKOLEMAAAV3') ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,32,theory(equality)]),31]) ).

cnf(63,plain,
    ~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[14,31,34]) ).

cnf(64,plain,
    is_aligned('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[25,30,32]) ).

cnf(65,plain,
    dissimilar('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV6'),
    inference('HYPERRESOLVE',[status(thm)],[27,30,32,36]) ).

cnf(69,plain,
    smaller_or_equal(zero,eta),
    inference('HYPERRESOLVE',[status(thm)],[2,46]) ).

cnf(70,plain,
    has_immunity('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[62,69]) ).

cnf(83,plain,
    greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4')),
    inference('UR-RESOLVE',[status(thm)],[19,63,30,61]) ).

cnf(84,plain,
    ( ~ greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'))
    | hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3') ),
    inference('REWRITE',[status(thm)],[39,83]) ).

cnf(89,plain,
    hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') = hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[18,70,30,61]) ).

cnf(92,plain,
    ~ greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5')),
    inference('REWRITE',[status(thm)],[84,89,theory(equality)]) ).

cnf(94,plain,
    ~ is_aligned('SKOLEMAAAV2','SKOLEMAAAV6'),
    inference('UR-RESOLVE',[status(thm)],[21,65,64]) ).

cnf(106,plain,
    ~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV6'),
    inference('UR-RESOLVE',[status(thm)],[14,57,31]) ).

cnf(110,plain,
    ~ greater(capability('SKOLEMAAAV2','SKOLEMAAAV5'),capability('SKOLEMAAAV2','SKOLEMAAAV6')),
    inference('UR-RESOLVE',[status(thm)],[29,106,30,63,92]) ).

cnf(153,plain,
    ~ is_aligned('SKOLEMAAAV2','SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[26,110,30,94]) ).

cnf(159,plain,
    dissimilar('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[23,153,30,64]) ).

cnf(166,plain,
    greater(age('SKOLEMAAAV2','SKOLEMAAAV5'),sigma),
    inference('HYPERRESOLVE',[status(thm)],[28,159,30,32]) ).

cnf(211,plain,
    ~ greater(sigma,age('SKOLEMAAAV2','SKOLEMAAAV5')),
    inference('UR-RESOLVE',[status(thm)],[9,166]) ).

cnf(274,plain,
    ~ smaller(age('SKOLEMAAAV2','SKOLEMAAAV5'),sigma),
    inference('UR-RESOLVE',[status(thm)],[7,211]) ).

cnf(275,plain,
    age('SKOLEMAAAV2','SKOLEMAAAV5') = sigma,
    inference('REWRITE',[status(thm)],[54,274]) ).

cnf(280,plain,
    greater(sigma,sigma),
    inference('REWRITE',[status(thm)],[166,275,theory(equality)]) ).

cnf(284,plain,
    $false,
    inference('REWRITE',[status(thm)],[211,280,275,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.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 09:08:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:08:04
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-09T09:08:04
% 0.43/0.59  
% 0.43/0.59  
% 0.43/0.59  #||
% 0.43/0.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.59  % SZS output start Refutation
% See solution above
% 0.43/0.59  ||#
% 0.43/0.59  
% 0.43/0.59  ; Summary of computation:
% 0.43/0.59  ;      1040 formulas have been input or derived (from 173 formulas).
% 0.43/0.59  ;       284 (27%) were retained.  Of these,
% 0.43/0.59  ;           42 (15%) were simplified or subsumed later,
% 0.43/0.59  ;          242 (85%) are still being kept.
% 0.43/0.59  ; 
% 0.43/0.59  ; Run time in seconds excluding printing time:
% 0.43/0.59  ;     0.006   5%   Read assertion file          (1 call)
% 0.43/0.59  ;     0.001   1%   Assert                       (15 calls)
% 0.43/0.59  ;     0.021  18%   Process new row              (925 calls)
% 0.43/0.59  ;     0.025  21%   Resolution                   (344 calls)
% 0.43/0.59  ;     0.003   3%   Paramodulation               (172 calls)
% 0.43/0.59  ;     0.000   0%   Factoring                    (13 calls)
% 0.43/0.59  ;     0.006   5%   Condensing                   (245 calls)
% 0.43/0.59  ;     0.006   5%   Forward subsumption          (245 calls)
% 0.43/0.59  ;     0.001   1%   Backward subsumption         (138 calls)
% 0.43/0.59  ;     0.007   6%   Clause clause subsumption    (283 calls)
% 0.43/0.59  ;     0.009   8%   Forward simplification       (925 calls)
% 0.43/0.59  ;     0.002   2%   Backward simplification      (284 calls)
% 0.43/0.59  ;     0.003   3%   Ordering                     (680 calls)
% 0.43/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.43/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.43/0.59  ;     0.028  24%   Other
% 0.43/0.59  ;     0.118        Total
% 0.43/0.59  ;     0.123        Real time
% 0.43/0.59  ; 
% 0.43/0.59  ; Term-hash-array has 295 terms in all.
% 0.43/0.59  ; Feature-vector-row-index has 124 entries (133 at peak, 138 added, 14 deleted).
% 0.43/0.59  ; Feature-vector-row-index has 570 nodes (615 at peak, 675 added, 105 deleted).
% 0.43/0.59  ;  Retrieved 413 possibly forward subsuming rows in 245 calls.
% 0.43/0.59  ;  Retrieved 11 possibly backward subsumed rows in 138 calls.
% 0.43/0.59  ; Path-index has 269 entries (292 at peak, 315 added, 46 deleted).
% 0.43/0.59  ; Path-index has 326 nodes (334 at peak, 351 added, 25 deleted).
% 0.43/0.59  ; Trie-index has 269 entries (292 at peak, 315 added, 46 deleted).
% 0.43/0.59  ; Trie-index has 494 nodes (525 at peak, 567 added, 73 deleted).
% 0.43/0.59  ; Retrieved 738 generalization terms in 2,191 calls.
% 0.43/0.59  ; Retrieved 155 instance terms in 145 calls.
% 0.43/0.59  ; Retrieved 6,134 unifiable terms in 2,346 calls.
% 0.43/0.59  ; 
% 0.43/0.59  ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.43/0.59  ;     4 with value 0
% 0.43/0.59  ; The agenda of rows to process has 7 entries:
% 0.43/0.59  ;     4 with value 15              3 with value 22
% 0.43/0.59  ; The agenda of rows to give has 96 entries:
% 0.43/0.59  ;     1 with value (4 6)          21 with value (4 15)           3 with value (4 22)
% 0.43/0.59  ;     1 with value (4 7)           2 with value (4 17)          12 with value (4 23)
% 0.43/0.59  ;     2 with value (4 8)           3 with value (4 18)           9 with value (4 24)
% 0.43/0.59  ;     1 with value (4 9)           2 with value (4 19)          16 with value (4 25)
% 0.43/0.59  ;     3 with value (4 10)          6 with value (4 20)           8 with value (4 27)
% 0.43/0.59  ;     1 with value (4 11)          2 with value (4 21)           1 with value (4 37)
% 0.43/0.59  ;     2 with value (4 14)
% 0.43/0.59  Evaluation took:
% 0.43/0.59    0.123 seconds of real time
% 0.43/0.59    0.108787 seconds of user run time
% 0.43/0.59    0.014237 seconds of system run time
% 0.43/0.59    0 calls to %EVAL
% 0.43/0.59    0 page faults and
% 0.43/0.59    10,187,416 bytes consed.
% 0.43/0.59  :PROOF-FOUND
% 0.43/0.59  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:08:04
% 0.43/0.59  :PROOF-FOUND
% 0.43/0.59  * 
%------------------------------------------------------------------------------