TSTP Solution File: MGT062-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 22:25:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of clauses : 45 ( 26 unt; 4 nHn; 44 RR)
% Number of literals : 83 ( 14 equ; 46 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_2,axiom,
( ~ smaller(X,Y)
| smaller_or_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(definition_smaller_8,axiom,
( ~ greater(X,Y)
| smaller(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(assumption_1_39,axiom,
( ~ organization(X)
| has_endowment(X)
| ~ has_immunity(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_39) ).
cnf(definition_2_42,axiom,
( ~ dissimilar(X,Y,Z)
| ~ is_aligned(X,Y)
| ~ is_aligned(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_42) ).
cnf(definition_2_44,axiom,
( ~ organization(X)
| ~ is_aligned(X,Y)
| is_aligned(X,Z)
| dissimilar(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_44) ).
cnf(assumption_13_47,axiom,
( ~ organization(X)
| age(X,Y) != zero
| is_aligned(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_47) ).
cnf(assumption_15_48,axiom,
( ~ organization(X)
| age(X,Y) != zero
| ~ greater(age(X,Z),sigma)
| dissimilar(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_48) ).
cnf(assumption_15_49,axiom,
( ~ organization(X)
| age(X,Y) != zero
| ~ dissimilar(X,Y,Z)
| greater(age(X,Z),sigma) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_49) ).
cnf(definition_4_50,axiom,
( ~ robust_position(X)
| ~ smaller_or_equal(age(X,Y),tau)
| ~ positional_advantage(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_50) ).
cnf(definition_4_51,axiom,
( ~ robust_position(X)
| ~ greater(age(X,Y),tau)
| positional_advantage(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_51) ).
cnf(assumption_17_58,axiom,
( ~ organization(X)
| has_immunity(X,Y)
| is_aligned(X,Y)
| ~ positional_advantage(X,Y)
| hazard_of_mortality(X,Y) = mod1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_58) ).
cnf(assumption_17_59,axiom,
( ~ organization(X)
| has_immunity(X,Y)
| ~ is_aligned(X,Y)
| positional_advantage(X,Y)
| hazard_of_mortality(X,Y) = mod2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_59) ).
cnf(assumption_19_61,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19_61) ).
cnf(theorem_8_62,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_62) ).
cnf(theorem_8_63,negated_conjecture,
robust_position(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_63) ).
cnf(theorem_8_64,negated_conjecture,
~ has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_64) ).
cnf(theorem_8_65,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_65) ).
cnf(theorem_8_66,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_66) ).
cnf(theorem_8_68,negated_conjecture,
sigma = tau,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_68) ).
cnf(theorem_8_69,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_69) ).
cnf(theorem_8_70,negated_conjecture,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_70) ).
cnf(theorem_8_71,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8_71) ).
cnf(42,plain,
( ~ robust_position(X)
| ~ smaller_or_equal(age(X,Y),sigma)
| ~ positional_advantage(X,Y) ),
inference('REWRITE',[status(thm)],[definition_4_50,theorem_8_68,theory(equality)]) ).
cnf(43,plain,
( ~ robust_position(X)
| ~ greater(age(X,Y),sigma)
| positional_advantage(X,Y) ),
inference('REWRITE',[status(thm)],[definition_4_51,theorem_8_68,theory(equality)]) ).
cnf(52,plain,
smaller(mod1,mod2),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_8,assumption_19_61]) ).
cnf(53,plain,
smaller(zero,sigma),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_8,theorem_8_66]) ).
cnf(58,plain,
~ has_immunity(sk2,X),
inference('UR-RESOLVE',[status(thm)],[assumption_1_39,theorem_8_62,theorem_8_64]) ).
cnf(63,plain,
is_aligned(sk2,sk3),
inference('HYPERRESOLVE',[status(thm)],[assumption_13_47,theorem_8_62,theorem_8_65]) ).
cnf(64,plain,
~ positional_advantage(sk2,sk4),
inference('UR-RESOLVE',[status(thm)],[42,theorem_8_63,theorem_8_69]) ).
cnf(65,plain,
( ~ smaller_or_equal(zero,sigma)
| ~ positional_advantage(sk2,sk3) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,theorem_8_65,theory(equality)]),theorem_8_63]) ).
cnf(66,plain,
positional_advantage(sk2,sk5),
inference('HYPERRESOLVE',[status(thm)],[43,theorem_8_63,theorem_8_70]) ).
cnf(67,plain,
dissimilar(sk2,sk3,sk5),
inference('HYPERRESOLVE',[status(thm)],[assumption_15_48,theorem_8_62,theorem_8_65,theorem_8_70]) ).
cnf(72,plain,
smaller_or_equal(zero,sigma),
inference('HYPERRESOLVE',[status(thm)],[definition_smaller_or_equal_2,53]) ).
cnf(73,plain,
~ positional_advantage(sk2,sk3),
inference('REWRITE',[status(thm)],[65,72]) ).
cnf(80,plain,
hazard_of_mortality(sk2,sk3) = mod2,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[assumption_17_59,63,theorem_8_62]),73,58]) ).
cnf(81,plain,
( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != mod2 ),
inference('REWRITE',[status(thm)],[theorem_8_71,80,theory(equality)]) ).
cnf(82,plain,
~ greater(age(sk2,sk4),sigma),
inference('UR-RESOLVE',[status(thm)],[43,64,theorem_8_63]) ).
cnf(84,plain,
( is_aligned(sk2,sk5)
| hazard_of_mortality(sk2,sk5) = mod1 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[assumption_17_58,66,theorem_8_62]),58]) ).
cnf(85,plain,
~ is_aligned(sk2,sk5),
inference('UR-RESOLVE',[status(thm)],[definition_2_42,67,63]) ).
cnf(86,plain,
hazard_of_mortality(sk2,sk5) = mod1,
inference('REWRITE',[status(thm)],[84,85]) ).
cnf(87,plain,
( ~ smaller(mod1,hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != mod2 ),
inference('REWRITE',[status(thm)],[81,86,theory(equality)]) ).
cnf(96,plain,
~ dissimilar(sk2,sk3,sk4),
inference('UR-RESOLVE',[status(thm)],[assumption_15_49,82,theorem_8_62,theorem_8_65]) ).
cnf(99,plain,
is_aligned(sk2,sk4),
inference('UR-RESOLVE',[status(thm)],[definition_2_44,96,theorem_8_62,63]) ).
cnf(104,plain,
hazard_of_mortality(sk2,sk4) = mod2,
inference('UR-RESOLVE',[status(thm)],[assumption_17_59,99,theorem_8_62,58,64]) ).
cnf(105,plain,
$false,
inference('REWRITE',[status(thm)],[87,52,104,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 11:18:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.50 #<PACKAGE "SNARK-USER">
% 0.20/0.50 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T11:18:51
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-09T11:18:51
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 #||
% 0.20/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 ||#
% 0.20/0.55
% 0.20/0.55 ; Summary of computation:
% 0.20/0.55 ; 210 formulas have been input or derived (from 74 formulas).
% 0.20/0.55 ; 105 (50%) were retained. Of these,
% 0.20/0.55 ; 11 (10%) were simplified or subsumed later,
% 0.20/0.55 ; 94 (90%) are still being kept.
% 0.20/0.55 ;
% 0.20/0.55 ; Run time in seconds excluding printing time:
% 0.20/0.55 ; 0.009 18% Read assertion file (1 call)
% 0.20/0.55 ; 0.000 0% Assert (44 calls)
% 0.20/0.55 ; 0.006 12% Process new row (194 calls)
% 0.20/0.55 ; 0.006 12% Resolution (146 calls)
% 0.20/0.56 ; 0.001 2% Paramodulation (73 calls)
% 0.20/0.56 ; 0.000 0% Factoring (3 calls)
% 0.20/0.56 ; 0.003 6% Condensing (50 calls)
% 0.20/0.56 ; 0.000 0% Forward subsumption (50 calls)
% 0.20/0.56 ; 0.000 0% Backward subsumption (48 calls)
% 0.20/0.56 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.20/0.56 ; 0.001 2% Forward simplification (194 calls)
% 0.20/0.56 ; 0.001 2% Backward simplification (105 calls)
% 0.20/0.56 ; 0.000 0% Ordering (58 calls)
% 0.20/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.001 2% Purity testing (1 call)
% 0.20/0.56 ; 0.023 45% Other
% 0.20/0.56 ; 0.051 Total
% 0.20/0.56 ; 0.056 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 114 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 38 entries (40 at peak, 48 added, 10 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 143 nodes (167 at peak, 233 added, 90 deleted).
% 0.20/0.56 ; Retrieved 7 possibly forward subsuming rows in 50 calls.
% 0.20/0.56 ; Retrieved 3 possibly backward subsumed rows in 48 calls.
% 0.20/0.56 ; Path-index has 118 entries (119 at peak, 137 added, 19 deleted).
% 0.20/0.56 ; Path-index has 211 nodes (213 at peak, 239 added, 28 deleted).
% 0.20/0.56 ; Trie-index has 118 entries (119 at peak, 137 added, 19 deleted).
% 0.20/0.56 ; Trie-index has 213 nodes (216 at peak, 260 added, 47 deleted).
% 0.20/0.56 ; Retrieved 146 generalization terms in 269 calls.
% 0.20/0.56 ; Retrieved 64 instance terms in 56 calls.
% 0.20/0.56 ; Retrieved 1,704 unifiable terms in 797 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of rows to process has 3 entries:
% 0.20/0.56 ; 2 with value 14 1 with value 20
% 0.20/0.56 ; The agenda of rows to give has 23 entries:
% 0.20/0.56 ; 6 with value (4 9) 2 with value (4 12) 1 with value (4 15)
% 0.20/0.56 ; 7 with value (4 10) 4 with value (4 13) 1 with value (4 16)
% 0.20/0.56 ; 2 with value (4 11)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.056 seconds of real time
% 0.20/0.56 0.049135 seconds of user run time
% 0.20/0.56 0.007165 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 5,204,072 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T11:18:51
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------