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 : 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 *
%------------------------------------------------------------------------------