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 : n028.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 : Theorem 0.20s 0.58s
% 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(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(3,axiom,
( smaller_or_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
cnf(6,axiom,
( greater_or_equal(X,Y)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
cnf(7,axiom,
( ~ smaller(X,Y)
| greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
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(11,axiom,
( smaller(X,Y)
| X = Y
| greater(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
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(20,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) ).
cnf(24,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) ).
cnf(27,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) ).
cnf(28,axiom,
( ~ organization(X)
| stock_of_knowledge(X,Y) = stock_of_knowledge(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).
cnf(29,axiom,
( ~ organization(X)
| external_ties(X,Y) = external_ties(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).
cnf(30,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) ).
cnf(31,negated_conjecture,
organization('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
cnf(32,negated_conjecture,
has_endowment('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
cnf(33,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV3'),age('SKOLEMAAAV2','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
cnf(34,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV4'),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
cnf(35,negated_conjecture,
greater(age('SKOLEMAAAV2','SKOLEMAAAV5'),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
cnf(36,negated_conjecture,
greater(age('SKOLEMAAAV2','SKOLEMAAAV6'),age('SKOLEMAAAV2','SKOLEMAAAV5')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4) ).
cnf(37,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',theorem_4) ).
cnf(47,plain,
( smaller(age('SKOLEMAAAV2','SKOLEMAAAV3'),age('SKOLEMAAAV2','SKOLEMAAAV4'))
| age('SKOLEMAAAV2','SKOLEMAAAV3') = age('SKOLEMAAAV2','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[1,33]) ).
cnf(48,plain,
greater(age('SKOLEMAAAV2','SKOLEMAAAV6'),eta),
inference('HYPERRESOLVE',[status(thm)],[10,36,35]) ).
cnf(50,plain,
( X = Y
| greater(X,Y)
| smaller_or_equal(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[2,11]) ).
cnf(51,plain,
stock_of_knowledge('SKOLEMAAAV2',X) = stock_of_knowledge('SKOLEMAAAV2',Y),
inference('HYPERRESOLVE',[status(thm)],[28,31]) ).
cnf(52,plain,
external_ties('SKOLEMAAAV2',X) = external_ties('SKOLEMAAAV2',Y),
inference('HYPERRESOLVE',[status(thm)],[29,31]) ).
cnf(53,plain,
has_immunity('SKOLEMAAAV2','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[13,32,34]) ).
cnf(54,plain,
~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[14,32,35]) ).
cnf(55,plain,
greater(internal_friction('SKOLEMAAAV2','SKOLEMAAAV6'),internal_friction('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[30,31,36]) ).
cnf(56,plain,
~ greater(age('SKOLEMAAAV2','SKOLEMAAAV4'),eta),
inference('UR-RESOLVE',[status(thm)],[14,53,32]) ).
cnf(59,plain,
greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[19,54,31,53]) ).
cnf(60,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)],[37,59]) ).
cnf(64,plain,
~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[14,48,32]) ).
cnf(78,plain,
smaller_or_equal(stock_of_knowledge('SKOLEMAAAV2',X),stock_of_knowledge('SKOLEMAAAV2',Y)),
inference('HYPERRESOLVE',[status(thm)],[3,51]) ).
cnf(83,plain,
position('SKOLEMAAAV2',X) = position('SKOLEMAAAV2',Y),
inference('HYPERRESOLVE',[status(thm)],[27,52,31]) ).
cnf(97,plain,
smaller(capability('SKOLEMAAAV2','SKOLEMAAAV6'),capability('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[24,78,31,55]) ).
cnf(98,plain,
greater_or_equal(position('SKOLEMAAAV2',X),position('SKOLEMAAAV2',Y)),
inference('HYPERRESOLVE',[status(thm)],[6,83]) ).
cnf(114,plain,
greater(capability('SKOLEMAAAV2','SKOLEMAAAV5'),capability('SKOLEMAAAV2','SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[7,97]) ).
cnf(139,plain,
smaller(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[20,114,31,64,54,98]) ).
cnf(143,plain,
greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[7,139]) ).
cnf(144,plain,
hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[60,143]) ).
cnf(146,plain,
~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[18,144,31,53]) ).
cnf(147,plain,
~ smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV3'),eta),
inference('UR-RESOLVE',[status(thm)],[13,146,32]) ).
cnf(149,plain,
age('SKOLEMAAAV2','SKOLEMAAAV3') != eta,
inference('UR-RESOLVE',[status(thm)],[3,147]) ).
cnf(151,plain,
greater(age('SKOLEMAAAV2','SKOLEMAAAV3'),eta),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[147,50]),149]) ).
cnf(155,plain,
~ greater(age('SKOLEMAAAV2','SKOLEMAAAV4'),age('SKOLEMAAAV2','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[10,151,56]) ).
cnf(169,plain,
~ smaller(age('SKOLEMAAAV2','SKOLEMAAAV3'),age('SKOLEMAAAV2','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[7,155]) ).
cnf(170,plain,
age('SKOLEMAAAV2','SKOLEMAAAV3') = age('SKOLEMAAAV2','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[47,169]) ).
cnf(171,plain,
$false,
inference('REWRITE',[status(thm)],[34,147,170,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT051+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 08:52:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T08:52:17
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-09T08:52:17
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 #||
% 0.20/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58 % SZS output start Refutation
% See solution above
% 0.20/0.59 ||#
% 0.20/0.59
% 0.20/0.59 ; Summary of computation:
% 0.20/0.59 ; 590 formulas have been input or derived (from 124 formulas).
% 0.20/0.59 ; 171 (29%) were retained. Of these,
% 0.20/0.59 ; 17 (10%) were simplified or subsumed later,
% 0.20/0.59 ; 154 (90%) are still being kept.
% 0.20/0.59 ;
% 0.20/0.59 ; Run time in seconds excluding printing time:
% 0.20/0.59 ; 0.007 7% Read assertion file (1 call)
% 0.20/0.59 ; 0.002 2% Assert (16 calls)
% 0.20/0.59 ; 0.018 18% Process new row (519 calls)
% 0.20/0.59 ; 0.015 15% Resolution (246 calls)
% 0.20/0.59 ; 0.004 4% Paramodulation (123 calls)
% 0.20/0.59 ; 0.000 0% Factoring (4 calls)
% 0.20/0.59 ; 0.005 5% Condensing (135 calls)
% 0.20/0.59 ; 0.005 5% Forward subsumption (135 calls)
% 0.20/0.59 ; 0.002 2% Backward subsumption (74 calls)
% 0.20/0.59 ; 0.004 4% Clause clause subsumption (105 calls)
% 0.20/0.59 ; 0.005 5% Forward simplification (519 calls)
% 0.20/0.59 ; 0.004 4% Backward simplification (171 calls)
% 0.20/0.59 ; 0.001 1% Ordering (352 calls)
% 0.20/0.59 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.59 ; 0.000 0% Purity testing (1 call)
% 0.20/0.59 ; 0.028 28% Other
% 0.20/0.59 ; 0.101 Total
% 0.20/0.59 ; 0.106 Real time
% 0.20/0.59 ;
% 0.20/0.59 ; Term-hash-array has 240 terms in all.
% 0.20/0.59 ; Feature-vector-row-index has 67 entries (72 at peak, 74 added, 7 deleted).
% 0.20/0.59 ; Feature-vector-row-index has 336 nodes (387 at peak, 419 added, 83 deleted).
% 0.20/0.59 ; Retrieved 152 possibly forward subsuming rows in 135 calls.
% 0.20/0.59 ; Retrieved 7 possibly backward subsumed rows in 74 calls.
% 0.20/0.59 ; Path-index has 229 entries (246 at peak, 253 added, 24 deleted).
% 0.20/0.59 ; Path-index has 508 nodes (514 at peak, 523 added, 15 deleted).
% 0.20/0.59 ; Trie-index has 229 entries (246 at peak, 253 added, 24 deleted).
% 0.20/0.59 ; Trie-index has 592 nodes (621 at peak, 639 added, 47 deleted).
% 0.20/0.59 ; Retrieved 396 generalization terms in 844 calls.
% 0.20/0.59 ; Retrieved 107 instance terms in 96 calls.
% 0.20/0.59 ; Retrieved 5,613 unifiable terms in 2,023 calls.
% 0.20/0.59 ;
% 0.20/0.59 ; The agenda of backward simplifiable rows to process has 12 entries:
% 0.20/0.59 ; 12 with value 0
% 0.20/0.59 ; The agenda of rows to process has 1 entry:
% 0.20/0.59 ; 1 with value 24
% 0.20/0.59 ; The agenda of rows to give has 41 entries:
% 0.20/0.59 ; 1 with value (4 10) 1 with value (4 22) 5 with value (4 29)
% 0.20/0.59 ; 3 with value (4 14) 5 with value (4 23) 1 with value (4 30)
% 0.20/0.59 ; 4 with value (4 15) 2 with value (4 24) 2 with value (4 38)
% 0.20/0.59 ; 2 with value (4 17) 4 with value (4 25) 1 with value (4 39)
% 0.20/0.59 ; 8 with value (4 20) 2 with value (4 26)
% 0.20/0.59 Evaluation took:
% 0.20/0.59 0.106 seconds of real time
% 0.20/0.59 0.092704 seconds of user run time
% 0.20/0.59 0.012982 seconds of system run time
% 0.20/0.59 0 calls to %EVAL
% 0.20/0.59 0 page faults and
% 0.20/0.59 8,692,928 bytes consed.
% 0.20/0.59 :PROOF-FOUND
% 0.20/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T08:52:17
% 0.20/0.59 :PROOF-FOUND
% 0.20/0.59 *
%------------------------------------------------------------------------------