TSTP Solution File: MGT056+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 35 ( 21 unt; 4 nHn; 33 RR)
% Number of literals : 58 ( 10 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(4,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
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(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,negated_conjecture,
organization('SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(21,negated_conjecture,
has_endowment('SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(22,negated_conjecture,
age('SKOLEMAAAU2','SKOLEMAAAU3') = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(23,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAU2','SKOLEMAAAU4'),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(24,negated_conjecture,
greater(age('SKOLEMAAAU2','SKOLEMAAAU5'),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(25,negated_conjecture,
greater_or_equal(eta,sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(26,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(27,negated_conjecture,
( ~ greater(hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU5'),hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU4'))
| hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU4') != hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU3') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
cnf(34,plain,
~ greater(zero,sigma),
inference('UR-RESOLVE',[status(thm)],[9,26]) ).
cnf(37,plain,
( greater(eta,sigma)
| eta = sigma ),
inference('HYPERRESOLVE',[status(thm)],[4,25]) ).
cnf(40,plain,
has_immunity('SKOLEMAAAU2','SKOLEMAAAU4'),
inference('HYPERRESOLVE',[status(thm)],[13,21,23]) ).
cnf(41,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity('SKOLEMAAAU2','SKOLEMAAAU3') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[13,22,theory(equality)]),21]) ).
cnf(42,plain,
~ has_immunity('SKOLEMAAAU2','SKOLEMAAAU5'),
inference('UR-RESOLVE',[status(thm)],[14,21,24]) ).
cnf(49,plain,
greater(hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU5'),hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU4')),
inference('UR-RESOLVE',[status(thm)],[19,42,20,40]) ).
cnf(50,plain,
hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU4') != hazard_of_mortality('SKOLEMAAAU2','SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[27,49]) ).
cnf(51,plain,
~ has_immunity('SKOLEMAAAU2','SKOLEMAAAU3'),
inference('UR-RESOLVE',[status(thm)],[18,50,20,40]) ).
cnf(52,plain,
~ smaller_or_equal(zero,eta),
inference('REWRITE',[status(thm)],[41,51]) ).
cnf(53,plain,
zero != eta,
inference('UR-RESOLVE',[status(thm)],[3,52]) ).
cnf(54,plain,
~ smaller(zero,eta),
inference('UR-RESOLVE',[status(thm)],[2,52]) ).
cnf(56,plain,
greater(zero,eta),
inference('UR-RESOLVE',[status(thm)],[11,54,53]) ).
cnf(57,plain,
~ greater(eta,zero),
inference('UR-RESOLVE',[status(thm)],[8,54]) ).
cnf(61,plain,
~ greater(eta,sigma),
inference('UR-RESOLVE',[status(thm)],[10,56,34]) ).
cnf(62,plain,
eta = sigma,
inference('REWRITE',[status(thm)],[37,61]) ).
cnf(63,plain,
$false,
inference('REWRITE',[status(thm)],[26,57,62,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 11:45:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T11:45:53
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-09T11:45:53
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 115 formulas have been input or derived (from 43 formulas).
% 0.19/0.50 ; 63 (55%) were retained. Of these,
% 0.19/0.50 ; 13 (21%) were simplified or subsumed later,
% 0.19/0.50 ; 50 (79%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.004 10% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (10 calls)
% 0.19/0.50 ; 0.007 18% Process new row (89 calls)
% 0.19/0.50 ; 0.001 3% Resolution (84 calls)
% 0.19/0.50 ; 0.001 3% Paramodulation (42 calls)
% 0.19/0.50 ; 0.000 0% Factoring (1 call)
% 0.19/0.50 ; 0.000 0% Condensing (27 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (27 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (27 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (1 call)
% 0.19/0.50 ; 0.001 3% Forward simplification (89 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (63 calls)
% 0.19/0.50 ; 0.000 0% Ordering (24 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.023 59% Other
% 0.19/0.50 ; 0.039 Total
% 0.19/0.50 ; 0.042 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 70 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 23 entries (27 at peak, 27 added, 4 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 88 nodes (121 at peak, 121 added, 33 deleted).
% 0.19/0.50 ; Retrieved 3 possibly forward subsuming rows in 27 calls.
% 0.19/0.50 ; Retrieved 1 possibly backward subsumed row in 27 calls.
% 0.19/0.50 ; Path-index has 68 entries (77 at peak, 82 added, 14 deleted).
% 0.19/0.50 ; Path-index has 153 nodes (162 at peak, 167 added, 14 deleted).
% 0.19/0.50 ; Trie-index has 68 entries (77 at peak, 82 added, 14 deleted).
% 0.19/0.50 ; Trie-index has 148 nodes (161 at peak, 171 added, 23 deleted).
% 0.19/0.50 ; Retrieved 51 generalization terms in 101 calls.
% 0.19/0.50 ; Retrieved 43 instance terms in 35 calls.
% 0.19/0.50 ; Retrieved 795 unifiable terms in 345 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.19/0.50 ; 7 with value 0
% 0.19/0.50 ; The agenda of rows to process has 5 entries:
% 0.19/0.50 ; 5 with value 8
% 0.19/0.50 ; The agenda of rows to give has 15 entries:
% 0.19/0.50 ; 1 with value (4 5) 2 with value (4 9) 2 with value (4 13)
% 0.19/0.50 ; 1 with value (4 7) 1 with value (4 11) 2 with value (4 15)
% 0.19/0.50 ; 5 with value (4 8) 1 with value (4 12)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.043 seconds of real time
% 0.19/0.50 0.039391 seconds of user run time
% 0.19/0.50 0.002951 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 3,873,152 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T11:45:53
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------