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 : 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 22:25:37 EDT 2022
% Result : Theorem 0.40s 0.57s
% Output : Refutation 0.40s
% 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(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(5,axiom,
( greater_or_equal(X,Y)
| ~ greater(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(23,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/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
cnf(26,axiom,
( ~ organization(X)
| ~ greater(external_ties(X,Y),external_ties(X,Z))
| greater(position(X,Y),position(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
cnf(28,axiom,
( ~ organization(X)
| ~ greater(age(X,Y),age(X,Z))
| greater(stock_of_knowledge(X,Y),stock_of_knowledge(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7) ).
cnf(29,axiom,
( ~ organization(X)
| ~ greater(age(X,Y),age(X,Z))
| greater(external_ties(X,Y),external_ties(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
cnf(30,axiom,
( ~ organization(X)
| internal_friction(X,Y) = internal_friction(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9) ).
cnf(31,negated_conjecture,
organization('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2) ).
cnf(32,negated_conjecture,
has_endowment('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2) ).
cnf(33,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV3'),age('SKOLEMAAAV2','SKOLEMAAAV4')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2) ).
cnf(34,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV4'),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2) ).
cnf(35,negated_conjecture,
greater(age('SKOLEMAAAV2','SKOLEMAAAV5'),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2) ).
cnf(36,negated_conjecture,
greater(age('SKOLEMAAAV2','SKOLEMAAAV6'),age('SKOLEMAAAV2','SKOLEMAAAV5')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2) ).
cnf(37,negated_conjecture,
( ~ greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'))
| ~ greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4'))
| hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2) ).
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,
internal_friction('SKOLEMAAAV2',X) = internal_friction('SKOLEMAAAV2',Y),
inference('HYPERRESOLVE',[status(thm)],[30,31]) ).
cnf(52,plain,
has_immunity('SKOLEMAAAV2','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[13,32,34]) ).
cnf(53,plain,
~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[14,32,35]) ).
cnf(54,plain,
greater(stock_of_knowledge('SKOLEMAAAV2','SKOLEMAAAV6'),stock_of_knowledge('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[28,31,36]) ).
cnf(55,plain,
greater(external_ties('SKOLEMAAAV2','SKOLEMAAAV6'),external_ties('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[29,31,36]) ).
cnf(56,plain,
~ greater(age('SKOLEMAAAV2','SKOLEMAAAV4'),eta),
inference('UR-RESOLVE',[status(thm)],[14,52,32]) ).
cnf(63,plain,
~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV6'),
inference('UR-RESOLVE',[status(thm)],[14,48,32]) ).
cnf(67,plain,
greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[19,63,31,52]) ).
cnf(68,plain,
( ~ greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'))
| hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[37,67]) ).
cnf(78,plain,
smaller_or_equal(internal_friction('SKOLEMAAAV2',X),internal_friction('SKOLEMAAAV2',Y)),
inference('HYPERRESOLVE',[status(thm)],[3,51]) ).
cnf(86,plain,
greater(position('SKOLEMAAAV2','SKOLEMAAAV6'),position('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[26,55,31]) ).
cnf(96,plain,
greater(capability('SKOLEMAAAV2','SKOLEMAAAV6'),capability('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[23,78,31,54]) ).
cnf(99,plain,
greater_or_equal(position('SKOLEMAAAV2','SKOLEMAAAV6'),position('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[5,86]) ).
cnf(115,plain,
smaller(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[20,99,31,53,63,96]) ).
cnf(149,plain,
greater(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[7,115]) ).
cnf(150,plain,
hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[68,149]) ).
cnf(152,plain,
~ has_immunity('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('UR-RESOLVE',[status(thm)],[18,150,31,52]) ).
cnf(153,plain,
~ smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV3'),eta),
inference('UR-RESOLVE',[status(thm)],[13,152,32]) ).
cnf(155,plain,
age('SKOLEMAAAV2','SKOLEMAAAV3') != eta,
inference('UR-RESOLVE',[status(thm)],[3,153]) ).
cnf(157,plain,
greater(age('SKOLEMAAAV2','SKOLEMAAAV3'),eta),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[153,50]),155]) ).
cnf(161,plain,
~ greater(age('SKOLEMAAAV2','SKOLEMAAAV4'),age('SKOLEMAAAV2','SKOLEMAAAV3')),
inference('UR-RESOLVE',[status(thm)],[10,157,56]) ).
cnf(179,plain,
~ smaller(age('SKOLEMAAAV2','SKOLEMAAAV3'),age('SKOLEMAAAV2','SKOLEMAAAV4')),
inference('UR-RESOLVE',[status(thm)],[7,161]) ).
cnf(180,plain,
age('SKOLEMAAAV2','SKOLEMAAAV3') = age('SKOLEMAAAV2','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[47,179]) ).
cnf(181,plain,
$false,
inference('REWRITE',[status(thm)],[34,153,180,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT047+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 12:04:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T12:04:32
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-09T12:04:32
% 0.40/0.57
% 0.40/0.57
% 0.40/0.57 #||
% 0.40/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.57 % SZS output start Refutation
% See solution above
% 0.40/0.58 ||#
% 0.40/0.58
% 0.40/0.58 ; Summary of computation:
% 0.40/0.58 ; 594 formulas have been input or derived (from 133 formulas).
% 0.40/0.58 ; 181 (30%) were retained. Of these,
% 0.40/0.58 ; 17 ( 9%) were simplified or subsumed later,
% 0.40/0.58 ; 164 (91%) are still being kept.
% 0.40/0.58 ;
% 0.40/0.58 ; Run time in seconds excluding printing time:
% 0.40/0.58 ; 0.008 8% Read assertion file (1 call)
% 0.40/0.58 ; 0.001 1% Assert (16 calls)
% 0.40/0.58 ; 0.015 14% Process new row (531 calls)
% 0.40/0.58 ; 0.017 16% Resolution (264 calls)
% 0.40/0.58 ; 0.001 1% Paramodulation (132 calls)
% 0.40/0.58 ; 0.000 0% Factoring (4 calls)
% 0.40/0.58 ; 0.007 7% Condensing (135 calls)
% 0.40/0.58 ; 0.005 5% Forward subsumption (135 calls)
% 0.40/0.58 ; 0.004 4% Backward subsumption (76 calls)
% 0.40/0.58 ; 0.002 2% Clause clause subsumption (102 calls)
% 0.40/0.58 ; 0.011 11% Forward simplification (531 calls)
% 0.40/0.58 ; 0.002 2% Backward simplification (181 calls)
% 0.40/0.58 ; 0.001 1% Ordering (361 calls)
% 0.40/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.58 ; 0.000 0% Purity testing (1 call)
% 0.40/0.58 ; 0.030 29% Other
% 0.40/0.58 ; 0.104 Total
% 0.40/0.58 ; 0.111 Real time
% 0.40/0.58 ;
% 0.40/0.58 ; Term-hash-array has 256 terms in all.
% 0.40/0.58 ; Feature-vector-row-index has 69 entries (74 at peak, 76 added, 7 deleted).
% 0.40/0.58 ; Feature-vector-row-index has 305 nodes (356 at peak, 388 added, 83 deleted).
% 0.40/0.58 ; Retrieved 153 possibly forward subsuming rows in 135 calls.
% 0.40/0.58 ; Retrieved 5 possibly backward subsumed rows in 76 calls.
% 0.40/0.58 ; Path-index has 245 entries (262 at peak, 268 added, 23 deleted).
% 0.40/0.58 ; Path-index has 551 nodes (557 at peak, 564 added, 13 deleted).
% 0.40/0.58 ; Trie-index has 245 entries (262 at peak, 268 added, 23 deleted).
% 0.40/0.58 ; Trie-index has 645 nodes (674 at peak, 688 added, 43 deleted).
% 0.40/0.58 ; Retrieved 379 generalization terms in 842 calls.
% 0.40/0.58 ; Retrieved 115 instance terms in 104 calls.
% 0.40/0.58 ; Retrieved 5,735 unifiable terms in 2,094 calls.
% 0.40/0.58 ;
% 0.40/0.58 ; The agenda of backward simplifiable rows to process has 12 entries:
% 0.40/0.58 ; 12 with value 0
% 0.40/0.58 ; The agenda of rows to process has 1 entry:
% 0.40/0.58 ; 1 with value 24
% 0.40/0.58 ; The agenda of rows to give has 42 entries:
% 0.40/0.58 ; 1 with value (4 10) 1 with value (4 22) 2 with value (4 27)
% 0.40/0.58 ; 3 with value (4 14) 7 with value (4 23) 5 with value (4 29)
% 0.40/0.58 ; 3 with value (4 15) 4 with value (4 24) 1 with value (4 30)
% 0.40/0.58 ; 2 with value (4 17) 6 with value (4 25) 1 with value (4 56)
% 0.40/0.58 ; 6 with value (4 20)
% 0.40/0.58 Evaluation took:
% 0.40/0.58 0.111 seconds of real time
% 0.40/0.58 0.099151 seconds of user run time
% 0.40/0.58 0.011661 seconds of system run time
% 0.40/0.58 0 calls to %EVAL
% 0.40/0.58 0 page faults and
% 0.40/0.58 8,782,888 bytes consed.
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T12:04:33
% 0.40/0.58 :PROOF-FOUND
% 0.40/0.58 *
%------------------------------------------------------------------------------