TSTP Solution File: MGT055-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% 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 : n026.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 : Unsatisfiable 0.41s 0.62s
% Output : Refutation 0.41s
% 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(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_7,axiom,
( ~ smaller(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(definition_smaller_8,axiom,
( ~ greater(X,Y)
| smaller(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(X,Y)
| ~ greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
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(definition_1_39,axiom,
( ~ has_endowment(X)
| ~ smaller_or_equal(age(X,Y),eta)
| has_immunity(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_39) ).
cnf(definition_1_40,axiom,
( ~ has_endowment(X)
| ~ greater(age(X,Y),eta)
| ~ has_immunity(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_40) ).
cnf(assumption_2_45,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_45) ).
cnf(assumption_3_46,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_46) ).
cnf(definition_2_49,axiom,
( ~ dissimilar(X,Y,Z)
| ~ is_aligned(X,Y)
| ~ is_aligned(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_49) ).
cnf(definition_2_51,axiom,
( ~ organization(X)
| ~ is_aligned(X,Y)
| is_aligned(X,Z)
| dissimilar(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_51) ).
cnf(assumption_13_54,axiom,
( ~ organization(X)
| age(X,Y) != zero
| is_aligned(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_54) ).
cnf(assumption_14_55,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_55) ).
cnf(assumption_15_56,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_56) ).
cnf(assumption_15_57,axiom,
( ~ organization(X)
| age(X,Y) != zero
| ~ dissimilar(X,Y,Z)
| greater(age(X,Z),sigma) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_57) ).
cnf(assumption_16_58,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_58) ).
cnf(lemma_8_59,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_59) ).
cnf(lemma_8_60,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_60) ).
cnf(lemma_8_61,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_61) ).
cnf(lemma_8_62,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_62) ).
cnf(lemma_8_63,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_63) ).
cnf(lemma_8_64,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_64) ).
cnf(lemma_8_65,negated_conjecture,
greater(age(sk2,sk6),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_65) ).
cnf(lemma_8_66,negated_conjecture,
greater(sigma,eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_66) ).
cnf(lemma_8_67,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_67) ).
cnf(lemma_8_68,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',lemma_8_68) ).
cnf(46,plain,
smaller(zero,eta),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_8,lemma_8_67]) ).
cnf(54,plain,
( smaller(age(sk2,sk5),sigma)
| age(sk2,sk5) = sigma ),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_1,lemma_8_64]) ).
cnf(57,plain,
greater(age(sk2,sk6),eta),
inference('HYPERRESOLVE',[status(thm)],[meaning_postulate_greater_transitive_10,lemma_8_65,lemma_8_66]) ).
cnf(61,plain,
has_immunity(sk2,sk4),
inference('HYPERRESOLVE',[status(thm)],[definition_1_39,lemma_8_60,lemma_8_62]) ).
cnf(62,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sk2,sk3) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[definition_1_39,lemma_8_61,theory(equality)]),lemma_8_60]) ).
cnf(63,plain,
~ has_immunity(sk2,sk5),
inference('UR-RESOLVE',[status(thm)],[definition_1_40,lemma_8_60,lemma_8_63]) ).
cnf(64,plain,
is_aligned(sk2,sk3),
inference('HYPERRESOLVE',[status(thm)],[assumption_13_54,lemma_8_59,lemma_8_61]) ).
cnf(65,plain,
dissimilar(sk2,sk3,sk6),
inference('HYPERRESOLVE',[status(thm)],[assumption_15_56,lemma_8_59,lemma_8_61,lemma_8_65]) ).
cnf(69,plain,
smaller_or_equal(zero,eta),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_2,46]) ).
cnf(70,plain,
has_immunity(sk2,sk3),
inference('REWRITE',[status(thm)],[62,69]) ).
cnf(83,plain,
greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)),
inference('UR-RESOLVE',[status(thm)],[assumption_3_46,63,lemma_8_59,61]) ).
cnf(84,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)],[lemma_8_68,83]) ).
cnf(89,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference('HYPERRESOLVE',[status(thm)],[assumption_2_45,70,lemma_8_59,61]) ).
cnf(92,plain,
~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
inference('REWRITE',[status(thm)],[84,89,theory(equality)]) ).
cnf(94,plain,
~ is_aligned(sk2,sk6),
inference('UR-RESOLVE',[status(thm)],[definition_2_49,65,64]) ).
cnf(106,plain,
~ has_immunity(sk2,sk6),
inference('UR-RESOLVE',[status(thm)],[definition_1_40,57,lemma_8_60]) ).
cnf(110,plain,
~ greater(capability(sk2,sk5),capability(sk2,sk6)),
inference('UR-RESOLVE',[status(thm)],[assumption_16_58,106,lemma_8_59,63,92]) ).
cnf(153,plain,
~ is_aligned(sk2,sk5),
inference('UR-RESOLVE',[status(thm)],[assumption_14_55,110,lemma_8_59,94]) ).
cnf(159,plain,
dissimilar(sk2,sk3,sk5),
inference('UR-RESOLVE',[status(thm)],[definition_2_51,153,lemma_8_59,64]) ).
cnf(166,plain,
greater(age(sk2,sk5),sigma),
inference('HYPERRESOLVE',[status(thm)],[assumption_15_57,159,lemma_8_59,lemma_8_61]) ).
cnf(211,plain,
~ greater(sigma,age(sk2,sk5)),
inference('UR-RESOLVE',[status(thm)],[meaning_postulate_greater_strict_9,166]) ).
cnf(274,plain,
~ smaller(age(sk2,sk5),sigma),
inference('UR-RESOLVE',[status(thm)],[definition_smaller_7,211]) ).
cnf(275,plain,
age(sk2,sk5) = 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
% 0.03/0.13 % Problem : MGT055-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 9 11:02:33 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T11:02:33
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-09T11:02:33
% 0.41/0.62
% 0.41/0.62
% 0.41/0.62 #||
% 0.41/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/0.62 % SZS output start Refutation
% See solution above
% 0.41/0.63 ||#
% 0.41/0.63
% 0.41/0.63 ; Summary of computation:
% 0.41/0.63 ; 1040 formulas have been input or derived (from 173 formulas).
% 0.41/0.63 ; 284 (27%) were retained. Of these,
% 0.41/0.63 ; 42 (15%) were simplified or subsumed later,
% 0.41/0.63 ; 242 (85%) are still being kept.
% 0.41/0.63 ;
% 0.41/0.63 ; Run time in seconds excluding printing time:
% 0.41/0.63 ; 0.008 6% Read assertion file (1 call)
% 0.41/0.63 ; 0.002 1% Assert (42 calls)
% 0.41/0.63 ; 0.021 16% Process new row (925 calls)
% 0.41/0.63 ; 0.037 28% Resolution (344 calls)
% 0.41/0.63 ; 0.002 1% Paramodulation (172 calls)
% 0.41/0.63 ; 0.000 0% Factoring (13 calls)
% 0.41/0.63 ; 0.006 4% Condensing (245 calls)
% 0.41/0.63 ; 0.006 4% Forward subsumption (245 calls)
% 0.41/0.63 ; 0.001 1% Backward subsumption (138 calls)
% 0.41/0.63 ; 0.009 7% Clause clause subsumption (283 calls)
% 0.41/0.63 ; 0.011 8% Forward simplification (925 calls)
% 0.41/0.63 ; 0.001 1% Backward simplification (284 calls)
% 0.41/0.63 ; 0.001 1% Ordering (686 calls)
% 0.41/0.63 ; 0.002 1% Sortal reasoning (32 calls)
% 0.41/0.63 ; 0.000 0% Purity testing (1 call)
% 0.41/0.63 ; 0.027 20% Other
% 0.41/0.63 ; 0.134 Total
% 0.41/0.63 ; 0.138 Real time
% 0.41/0.63 ;
% 0.41/0.63 ; Term-hash-array has 297 terms in all.
% 0.41/0.63 ; Feature-vector-row-index has 124 entries (133 at peak, 138 added, 14 deleted).
% 0.41/0.63 ; Feature-vector-row-index has 570 nodes (615 at peak, 675 added, 105 deleted).
% 0.41/0.63 ; Retrieved 413 possibly forward subsuming rows in 245 calls.
% 0.41/0.63 ; Retrieved 11 possibly backward subsumed rows in 138 calls.
% 0.41/0.63 ; Path-index has 271 entries (294 at peak, 317 added, 46 deleted).
% 0.41/0.63 ; Path-index has 326 nodes (334 at peak, 351 added, 25 deleted).
% 0.41/0.63 ; Trie-index has 271 entries (294 at peak, 317 added, 46 deleted).
% 0.41/0.63 ; Trie-index has 494 nodes (525 at peak, 567 added, 73 deleted).
% 0.41/0.63 ; Retrieved 736 generalization terms in 2,188 calls.
% 0.41/0.63 ; Retrieved 155 instance terms in 145 calls.
% 0.41/0.63 ; Retrieved 6,343 unifiable terms in 2,384 calls.
% 0.41/0.63 ;
% 0.41/0.63 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.41/0.63 ; 4 with value 0
% 0.41/0.63 ; The agenda of rows to process has 7 entries:
% 0.41/0.63 ; 4 with value 15 3 with value 22
% 0.41/0.63 ; The agenda of rows to give has 96 entries:
% 0.41/0.63 ; 1 with value (4 6) 21 with value (4 15) 3 with value (4 22)
% 0.41/0.63 ; 1 with value (4 7) 2 with value (4 17) 12 with value (4 23)
% 0.41/0.63 ; 2 with value (4 8) 3 with value (4 18) 9 with value (4 24)
% 0.41/0.63 ; 1 with value (4 9) 2 with value (4 19) 16 with value (4 25)
% 0.41/0.63 ; 3 with value (4 10) 6 with value (4 20) 8 with value (4 27)
% 0.41/0.63 ; 1 with value (4 11) 2 with value (4 21) 1 with value (4 37)
% 0.41/0.63 ; 2 with value (4 14)
% 0.41/0.63 Evaluation took:
% 0.41/0.63 0.138 seconds of real time
% 0.41/0.63 0.123372 seconds of user run time
% 0.41/0.63 0.014808 seconds of system run time
% 0.41/0.63 0 calls to %EVAL
% 0.41/0.63 0 page faults and
% 0.41/0.63 9,999,624 bytes consed.
% 0.41/0.63 :PROOF-FOUND
% 0.41/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T11:02:33
% 0.41/0.63 :PROOF-FOUND
% 0.41/0.63 *
%------------------------------------------------------------------------------