TSTP Solution File: MGT051-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT051-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 22:25:39 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of clauses : 52 ( 31 unt; 6 nHn; 42 RR)
% Number of literals : 92 ( 19 equ; 43 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 : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 55 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_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_1) ).
cnf(definition_smaller_or_equal_2,axiom,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(definition_smaller_or_equal_3,axiom,
( X != Y
| smaller_or_equal(X,Y) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
cnf(definition_smaller_7,axiom,
( ~ smaller(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
cnf(meaning_postulate_greater_comparable_11,axiom,
( smaller(X,Y)
| X = Y
| greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
cnf(definition_1_42,axiom,
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,Y),eta)
| has_immunity(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
cnf(definition_1_43,axiom,
( ~ has_endowment(X)
| ~ greater(age(X,Y),eta)
| ~ has_immunity(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_43) ).
cnf(assumption_2_48,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_48) ).
cnf(assumption_3_49,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_49) ).
cnf(assumption_4_50,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/sandbox2/benchmark/theBenchmark.p',assumption_4_50) ).
cnf(assumption_5_54,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/sandbox2/benchmark/theBenchmark.p',assumption_5_54) ).
cnf(assumption_6_57,axiom,
( ~ organization(X)
| external_ties(X,Y) != external_ties(X,Z)
| position(X,Z) = position(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_57) ).
cnf(assumption_10_58,axiom,
( ~ organization(X)
| stock_of_knowledge(X,Y) = stock_of_knowledge(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_58) ).
cnf(assumption_11_59,axiom,
( ~ organization(X)
| external_ties(X,Y) = external_ties(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_59) ).
cnf(assumption_12_60,axiom,
( ~ organization(X)
| ~ greater(age(X,Y),age(X,Z))
| greater(internal_friction(X,Y),internal_friction(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_60) ).
cnf(theorem_4_61,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_61) ).
cnf(theorem_4_62,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_62) ).
cnf(theorem_4_63,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_63) ).
cnf(theorem_4_64,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_64) ).
cnf(theorem_4_65,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_65) ).
cnf(theorem_4_66,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_66) ).
cnf(theorem_4_67,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_67) ).
cnf(47,plain,
( smaller(age(sk2,sk3),age(sk2,sk4))
| age(sk2,sk3) = age(sk2,sk4) ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_1,theorem_4_63]) ).
cnf(48,plain,
greater(age(sk2,sk6),eta),
inference('HYPERRESOLVE',[status(thm)],[meaning_postulate_greater_transitive_10,theorem_4_66,theorem_4_65]) ).
cnf(50,plain,
( X = Y
| greater(X,Y)
| smaller_or_equal(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_2,meaning_postulate_greater_comparable_11]) ).
cnf(51,plain,
stock_of_knowledge(sk2,X) = stock_of_knowledge(sk2,Y),
inference('HYPERRESOLVE',[status(thm)],[assumption_10_58,theorem_4_61]) ).
cnf(52,plain,
external_ties(sk2,X) = external_ties(sk2,Y),
inference('HYPERRESOLVE',[status(thm)],[assumption_11_59,theorem_4_61]) ).
cnf(53,plain,
has_immunity(sk2,sk4),
inference('HYPERRESOLVE',[status(thm)],[definition_1_42,theorem_4_62,theorem_4_64]) ).
cnf(54,plain,
~ has_immunity(sk2,sk5),
inference('UR-RESOLVE',[status(thm)],[definition_1_43,theorem_4_62,theorem_4_65]) ).
cnf(55,plain,
greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[assumption_12_60,theorem_4_61,theorem_4_66]) ).
cnf(56,plain,
~ greater(age(sk2,sk4),eta),
inference('UR-RESOLVE',[status(thm)],[definition_1_43,53,theorem_4_62]) ).
cnf(59,plain,
greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)),
inference('UR-RESOLVE',[status(thm)],[assumption_3_49,54,theorem_4_61,53]) ).
cnf(60,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference('REWRITE',[status(thm)],[theorem_4_67,59]) ).
cnf(64,plain,
~ has_immunity(sk2,sk6),
inference('UR-RESOLVE',[status(thm)],[definition_1_43,48,theorem_4_62]) ).
cnf(78,plain,
smaller_or_equal(stock_of_knowledge(sk2,X),stock_of_knowledge(sk2,Y)),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_3,51]) ).
cnf(83,plain,
position(sk2,X) = position(sk2,Y),
inference('HYPERRESOLVE',[status(thm)],[assumption_6_57,52,theorem_4_61]) ).
cnf(97,plain,
smaller(capability(sk2,sk6),capability(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[assumption_5_54,78,theorem_4_61,55]) ).
cnf(98,plain,
greater_or_equal(position(sk2,X),position(sk2,Y)),
inference('HYPERRESOLVE',[status(thm)],[definition_greater_or_equal_6,83]) ).
cnf(114,plain,
greater(capability(sk2,sk5),capability(sk2,sk6)),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_7,97]) ).
cnf(139,plain,
smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)),
inference('UR-RESOLVE',[status(thm)],[assumption_4_50,114,theorem_4_61,64,54,98]) ).
cnf(143,plain,
greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_7,139]) ).
cnf(144,plain,
hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3),
inference('REWRITE',[status(thm)],[60,143]) ).
cnf(146,plain,
~ has_immunity(sk2,sk3),
inference('UR-RESOLVE',[status(thm)],[assumption_2_48,144,theorem_4_61,53]) ).
cnf(147,plain,
~ smaller_or_equal(age(sk2,sk3),eta),
inference('UR-RESOLVE',[status(thm)],[definition_1_42,146,theorem_4_62]) ).
cnf(149,plain,
age(sk2,sk3) != eta,
inference('UR-RESOLVE',[status(thm)],[definition_smaller_or_equal_3,147]) ).
cnf(151,plain,
greater(age(sk2,sk3),eta),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[147,50]),149]) ).
cnf(155,plain,
~ greater(age(sk2,sk4),age(sk2,sk3)),
inference('UR-RESOLVE',[status(thm)],[meaning_postulate_greater_transitive_10,151,56]) ).
cnf(169,plain,
~ smaller(age(sk2,sk3),age(sk2,sk4)),
inference('UR-RESOLVE',[status(thm)],[definition_smaller_7,155]) ).
cnf(170,plain,
age(sk2,sk3) = age(sk2,sk4),
inference('REWRITE',[status(thm)],[47,169]) ).
cnf(171,plain,
$false,
inference('REWRITE',[status(thm)],[theorem_4_64,147,170,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT051-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 09:42:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.45 #<PACKAGE "SNARK-USER">
% 0.20/0.45 *
% 0.20/0.45 SNARK-TPTP-OPTIONS
% 0.20/0.45 *
% 0.20/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:42:06
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-09T09:42:06
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 590 formulas have been input or derived (from 124 formulas).
% 0.20/0.56 ; 171 (29%) were retained. Of these,
% 0.20/0.56 ; 17 (10%) were simplified or subsumed later,
% 0.20/0.56 ; 154 (90%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds excluding printing time:
% 0.20/0.56 ; 0.009 9% Read assertion file (1 call)
% 0.20/0.56 ; 0.001 1% Assert (38 calls)
% 0.20/0.56 ; 0.019 18% Process new row (518 calls)
% 0.20/0.56 ; 0.018 17% Resolution (246 calls)
% 0.20/0.56 ; 0.006 6% Paramodulation (123 calls)
% 0.20/0.56 ; 0.000 0% Factoring (4 calls)
% 0.20/0.56 ; 0.002 2% Condensing (134 calls)
% 0.20/0.56 ; 0.006 6% Forward subsumption (134 calls)
% 0.20/0.56 ; 0.000 0% Backward subsumption (74 calls)
% 0.20/0.56 ; 0.004 4% Clause clause subsumption (104 calls)
% 0.20/0.56 ; 0.010 10% Forward simplification (518 calls)
% 0.20/0.56 ; 0.003 3% Backward simplification (171 calls)
% 0.20/0.56 ; 0.001 1% Ordering (352 calls)
% 0.20/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.001 1% Purity testing (1 call)
% 0.20/0.56 ; 0.024 23% Other
% 0.20/0.56 ; 0.104 Total
% 0.20/0.56 ; 0.108 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 241 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 67 entries (72 at peak, 74 added, 7 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 336 nodes (387 at peak, 419 added, 83 deleted).
% 0.20/0.56 ; Retrieved 151 possibly forward subsuming rows in 134 calls.
% 0.20/0.56 ; Retrieved 7 possibly backward subsumed rows in 74 calls.
% 0.20/0.56 ; Path-index has 230 entries (247 at peak, 254 added, 24 deleted).
% 0.20/0.56 ; Path-index has 508 nodes (514 at peak, 523 added, 15 deleted).
% 0.20/0.56 ; Trie-index has 230 entries (247 at peak, 254 added, 24 deleted).
% 0.20/0.56 ; Trie-index has 592 nodes (621 at peak, 639 added, 47 deleted).
% 0.20/0.56 ; Retrieved 396 generalization terms in 841 calls.
% 0.20/0.56 ; Retrieved 107 instance terms in 96 calls.
% 0.20/0.56 ; Retrieved 5,687 unifiable terms in 2,030 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of backward simplifiable rows to process has 12 entries:
% 0.20/0.56 ; 12 with value 0
% 0.20/0.56 ; The agenda of rows to process has 1 entry:
% 0.20/0.56 ; 1 with value 24
% 0.20/0.56 ; The agenda of rows to give has 41 entries:
% 0.20/0.56 ; 1 with value (4 10) 1 with value (4 22) 5 with value (4 29)
% 0.20/0.56 ; 3 with value (4 14) 5 with value (4 23) 1 with value (4 30)
% 0.20/0.56 ; 4 with value (4 15) 2 with value (4 24) 2 with value (4 38)
% 0.20/0.56 ; 2 with value (4 17) 4 with value (4 25) 1 with value (4 39)
% 0.20/0.56 ; 8 with value (4 20) 2 with value (4 26)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.108 seconds of real time
% 0.20/0.56 0.097299 seconds of user run time
% 0.20/0.56 0.010944 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 8,357,376 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:42:06
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------