TSTP Solution File: MGT047-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT047-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 22:25:37 EDT 2022
% Result : Unsatisfiable 0.15s 0.50s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of clauses : 51 ( 30 unt; 6 nHn; 45 RR)
% Number of literals : 92 ( 13 equ; 44 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 : 49 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_1,axiom,
( ~ smaller_or_equal(X,Y)
| smaller(X,Y)
| X = Y ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(definition_greater_or_equal_5,axiom,
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).
cnf(definition_smaller_7,axiom,
( ~ smaller(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',assumption_4_50) ).
cnf(assumption_5_53,axiom,
( ~ organization(X)
| ~ greater(stock_of_knowledge(X,Y),stock_of_knowledge(X,Z))
| ~ smaller_or_equal(internal_friction(X,Y),internal_friction(X,Z))
| greater(capability(X,Y),capability(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_53) ).
cnf(assumption_6_56,axiom,
( ~ organization(X)
| ~ greater(external_ties(X,Y),external_ties(X,Z))
| greater(position(X,Y),position(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_56) ).
cnf(assumption_7_58,axiom,
( ~ organization(X)
| ~ greater(age(X,Y),age(X,Z))
| greater(stock_of_knowledge(X,Y),stock_of_knowledge(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_7_58) ).
cnf(assumption_8_59,axiom,
( ~ organization(X)
| ~ greater(age(X,Y),age(X,Z))
| greater(external_ties(X,Y),external_ties(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_59) ).
cnf(assumption_9_60,axiom,
( ~ organization(X)
| internal_friction(X,Y) = internal_friction(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_9_60) ).
cnf(theorem_2_61,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_61) ).
cnf(theorem_2_62,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_62) ).
cnf(theorem_2_63,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_63) ).
cnf(theorem_2_64,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_64) ).
cnf(theorem_2_65,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_65) ).
cnf(theorem_2_66,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_66) ).
cnf(theorem_2_67,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_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_2_63]) ).
cnf(48,plain,
greater(age(sk2,sk6),eta),
inference('HYPERRESOLVE',[status(thm)],[meaning_postulate_greater_transitive_10,theorem_2_66,theorem_2_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,
internal_friction(sk2,X) = internal_friction(sk2,Y),
inference('HYPERRESOLVE',[status(thm)],[assumption_9_60,theorem_2_61]) ).
cnf(52,plain,
has_immunity(sk2,sk4),
inference('HYPERRESOLVE',[status(thm)],[definition_1_42,theorem_2_62,theorem_2_64]) ).
cnf(53,plain,
~ has_immunity(sk2,sk5),
inference('UR-RESOLVE',[status(thm)],[definition_1_43,theorem_2_62,theorem_2_65]) ).
cnf(54,plain,
greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[assumption_7_58,theorem_2_61,theorem_2_66]) ).
cnf(55,plain,
greater(external_ties(sk2,sk6),external_ties(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[assumption_8_59,theorem_2_61,theorem_2_66]) ).
cnf(56,plain,
~ greater(age(sk2,sk4),eta),
inference('UR-RESOLVE',[status(thm)],[definition_1_43,52,theorem_2_62]) ).
cnf(63,plain,
~ has_immunity(sk2,sk6),
inference('UR-RESOLVE',[status(thm)],[definition_1_43,48,theorem_2_62]) ).
cnf(67,plain,
greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4)),
inference('UR-RESOLVE',[status(thm)],[assumption_3_49,63,theorem_2_61,52]) ).
cnf(68,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference('REWRITE',[status(thm)],[theorem_2_67,67]) ).
cnf(78,plain,
smaller_or_equal(internal_friction(sk2,X),internal_friction(sk2,Y)),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_3,51]) ).
cnf(86,plain,
greater(position(sk2,sk6),position(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[assumption_6_56,55,theorem_2_61]) ).
cnf(96,plain,
greater(capability(sk2,sk6),capability(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[assumption_5_53,78,theorem_2_61,54]) ).
cnf(100,plain,
greater_or_equal(position(sk2,sk6),position(sk2,sk5)),
inference('HYPERRESOLVE',[status(thm)],[definition_greater_or_equal_5,86]) ).
cnf(116,plain,
smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
inference('UR-RESOLVE',[status(thm)],[assumption_4_50,100,theorem_2_61,53,63,96]) ).
cnf(149,plain,
greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_7,116]) ).
cnf(150,plain,
hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3),
inference('REWRITE',[status(thm)],[68,149]) ).
cnf(152,plain,
~ has_immunity(sk2,sk3),
inference('UR-RESOLVE',[status(thm)],[assumption_2_48,150,theorem_2_61,52]) ).
cnf(153,plain,
~ smaller_or_equal(age(sk2,sk3),eta),
inference('UR-RESOLVE',[status(thm)],[definition_1_42,152,theorem_2_62]) ).
cnf(155,plain,
age(sk2,sk3) != eta,
inference('UR-RESOLVE',[status(thm)],[definition_smaller_or_equal_3,153]) ).
cnf(157,plain,
greater(age(sk2,sk3),eta),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[153,50]),155]) ).
cnf(161,plain,
~ greater(age(sk2,sk4),age(sk2,sk3)),
inference('UR-RESOLVE',[status(thm)],[meaning_postulate_greater_transitive_10,157,56]) ).
cnf(179,plain,
~ smaller(age(sk2,sk3),age(sk2,sk4)),
inference('UR-RESOLVE',[status(thm)],[definition_smaller_7,161]) ).
cnf(180,plain,
age(sk2,sk3) = age(sk2,sk4),
inference('REWRITE',[status(thm)],[47,179]) ).
cnf(181,plain,
$false,
inference('REWRITE',[status(thm)],[theorem_2_64,153,180,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : MGT047-1 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.10 % Command : run-snark %s %d
% 0.09/0.30 % Computer : n025.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Thu Jun 9 11:44:20 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.39 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 *
% 0.15/0.40 *
% 0.15/0.41 #<PACKAGE "SNARK-USER">
% 0.15/0.41 *
% 0.15/0.41 SNARK-TPTP-OPTIONS
% 0.15/0.41 *
% 0.15/0.41 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.41 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.41 (USE-FACTORING :POS)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.41 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.41 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.41 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.41 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.41 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.41 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.41 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.41 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.41 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.41 *
% 0.15/0.41 "."
% 0.15/0.41 *
% 0.15/0.41 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T11:44:20
% 0.15/0.41 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T11:44:20
% 0.15/0.50
% 0.15/0.50
% 0.15/0.50 #||
% 0.15/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.50 % SZS output start Refutation
% See solution above
% 0.15/0.51 ||#
% 0.15/0.51
% 0.15/0.51 ; Summary of computation:
% 0.15/0.51 ; 594 formulas have been input or derived (from 133 formulas).
% 0.15/0.51 ; 181 (30%) were retained. Of these,
% 0.15/0.51 ; 17 ( 9%) were simplified or subsumed later,
% 0.15/0.51 ; 164 (91%) are still being kept.
% 0.15/0.51 ;
% 0.15/0.51 ; Run time in seconds excluding printing time:
% 0.15/0.51 ; 0.009 10% Read assertion file (1 call)
% 0.15/0.51 ; 0.002 2% Assert (38 calls)
% 0.15/0.51 ; 0.010 11% Process new row (530 calls)
% 0.15/0.51 ; 0.019 20% Resolution (264 calls)
% 0.15/0.51 ; 0.001 1% Paramodulation (132 calls)
% 0.15/0.51 ; 0.000 0% Factoring (4 calls)
% 0.15/0.51 ; 0.006 6% Condensing (134 calls)
% 0.15/0.51 ; 0.008 9% Forward subsumption (134 calls)
% 0.15/0.51 ; 0.002 2% Backward subsumption (76 calls)
% 0.15/0.51 ; 0.002 2% Clause clause subsumption (101 calls)
% 0.15/0.51 ; 0.008 9% Forward simplification (530 calls)
% 0.15/0.51 ; 0.003 3% Backward simplification (181 calls)
% 0.15/0.51 ; 0.000 0% Ordering (361 calls)
% 0.15/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.51 ; 0.000 0% Purity testing (1 call)
% 0.15/0.51 ; 0.023 25% Other
% 0.15/0.51 ; 0.093 Total
% 0.15/0.51 ; 0.100 Real time
% 0.15/0.51 ;
% 0.15/0.51 ; Term-hash-array has 257 terms in all.
% 0.15/0.51 ; Feature-vector-row-index has 69 entries (74 at peak, 76 added, 7 deleted).
% 0.15/0.51 ; Feature-vector-row-index has 305 nodes (356 at peak, 388 added, 83 deleted).
% 0.15/0.51 ; Retrieved 152 possibly forward subsuming rows in 134 calls.
% 0.15/0.51 ; Retrieved 5 possibly backward subsumed rows in 76 calls.
% 0.15/0.51 ; Path-index has 246 entries (263 at peak, 269 added, 23 deleted).
% 0.15/0.51 ; Path-index has 551 nodes (557 at peak, 564 added, 13 deleted).
% 0.15/0.51 ; Trie-index has 246 entries (263 at peak, 269 added, 23 deleted).
% 0.15/0.51 ; Trie-index has 645 nodes (674 at peak, 688 added, 43 deleted).
% 0.15/0.51 ; Retrieved 379 generalization terms in 839 calls.
% 0.15/0.51 ; Retrieved 115 instance terms in 104 calls.
% 0.15/0.51 ; Retrieved 5,820 unifiable terms in 2,101 calls.
% 0.15/0.51 ;
% 0.15/0.51 ; The agenda of backward simplifiable rows to process has 12 entries:
% 0.15/0.51 ; 12 with value 0
% 0.15/0.51 ; The agenda of rows to process has 1 entry:
% 0.15/0.51 ; 1 with value 24
% 0.15/0.51 ; The agenda of rows to give has 42 entries:
% 0.15/0.51 ; 1 with value (4 10) 1 with value (4 22) 2 with value (4 27)
% 0.15/0.51 ; 3 with value (4 14) 7 with value (4 23) 5 with value (4 29)
% 0.15/0.51 ; 3 with value (4 15) 4 with value (4 24) 1 with value (4 30)
% 0.15/0.51 ; 2 with value (4 17) 6 with value (4 25) 1 with value (4 56)
% 0.15/0.51 ; 6 with value (4 20)
% 0.15/0.51 Evaluation took:
% 0.15/0.51 0.1 seconds of real time
% 0.15/0.51 0.080213 seconds of user run time
% 0.15/0.51 0.019732 seconds of system run time
% 0.15/0.51 0 calls to %EVAL
% 0.15/0.51 0 page faults and
% 0.15/0.51 8,442,936 bytes consed.
% 0.15/0.51 :PROOF-FOUND
% 0.15/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T11:44:20
% 0.15/0.51 :PROOF-FOUND
% 0.15/0.51 *
%------------------------------------------------------------------------------