TSTP Solution File: MGT062+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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 : 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 22:25:43 EDT 2022
% Result : Theorem 0.20s 0.52s
% 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(2,axiom,
( smaller_or_equal(X,Y)
| ~ smaller(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
cnf(8,axiom,
( smaller(X,Y)
| ~ greater(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
cnf(12,axiom,
( ~ organization(X)
| has_endowment(X)
| ~ has_immunity(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
cnf(14,axiom,
( ~ dissimilar(X,Y,Z)
| ~ is_aligned(X,Y)
| ~ is_aligned(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
cnf(16,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(18,axiom,
( ~ organization(X)
| age(X,Y) != zero
| is_aligned(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
cnf(19,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(20,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(21,axiom,
( ~ robust_position(X)
| ~ smaller_or_equal(age(X,Y),tau)
| ~ positional_advantage(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
cnf(22,axiom,
( ~ robust_position(X)
| ~ greater(age(X,Y),tau)
| positional_advantage(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
cnf(28,axiom,
( ~ organization(X)
| has_immunity(X,Y)
| is_aligned(X,Y)
| ~ positional_advantage(X,Y)
| hazard_of_mortality(X,Y) = mod1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
cnf(29,axiom,
( ~ organization(X)
| has_immunity(X,Y)
| ~ is_aligned(X,Y)
| positional_advantage(X,Y)
| hazard_of_mortality(X,Y) = mod2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
cnf(31,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
cnf(32,negated_conjecture,
organization('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(33,negated_conjecture,
robust_position('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(34,negated_conjecture,
~ has_endowment('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(35,negated_conjecture,
age('SKOLEMAAAV2','SKOLEMAAAV3') = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(36,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(38,negated_conjecture,
sigma = tau,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(39,negated_conjecture,
smaller_or_equal(age('SKOLEMAAAV2','SKOLEMAAAV4'),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(40,negated_conjecture,
greater(age('SKOLEMAAAV2','SKOLEMAAAV5'),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
cnf(41,negated_conjecture,
( ~ smaller(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_8) ).
cnf(42,plain,
( ~ robust_position(X)
| ~ smaller_or_equal(age(X,Y),sigma)
| ~ positional_advantage(X,Y) ),
inference('REWRITE',[status(thm)],[21,38,theory(equality)]) ).
cnf(43,plain,
( ~ robust_position(X)
| ~ greater(age(X,Y),sigma)
| positional_advantage(X,Y) ),
inference('REWRITE',[status(thm)],[22,38,theory(equality)]) ).
cnf(52,plain,
smaller(mod1,mod2),
inference('HYPERRESOLVE',[status(thm)],[8,31]) ).
cnf(53,plain,
smaller(zero,sigma),
inference('HYPERRESOLVE',[status(thm)],[8,36]) ).
cnf(58,plain,
~ has_immunity('SKOLEMAAAV2',X),
inference('UR-RESOLVE',[status(thm)],[12,32,34]) ).
cnf(63,plain,
is_aligned('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[18,32,35]) ).
cnf(64,plain,
~ positional_advantage('SKOLEMAAAV2','SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[42,33,39]) ).
cnf(65,plain,
( ~ smaller_or_equal(zero,sigma)
| ~ positional_advantage('SKOLEMAAAV2','SKOLEMAAAV3') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,35,theory(equality)]),33]) ).
cnf(66,plain,
positional_advantage('SKOLEMAAAV2','SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[43,33,40]) ).
cnf(67,plain,
dissimilar('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[19,32,35,40]) ).
cnf(72,plain,
smaller_or_equal(zero,sigma),
inference('HYPERRESOLVE',[status(thm)],[2,53]) ).
cnf(73,plain,
~ positional_advantage('SKOLEMAAAV2','SKOLEMAAAV3'),
inference('REWRITE',[status(thm)],[65,72]) ).
cnf(80,plain,
hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV3') = mod2,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[29,63,32]),73,58]) ).
cnf(81,plain,
( ~ smaller(hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5'),hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4'))
| hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != mod2 ),
inference('REWRITE',[status(thm)],[41,80,theory(equality)]) ).
cnf(82,plain,
~ greater(age('SKOLEMAAAV2','SKOLEMAAAV4'),sigma),
inference('UR-RESOLVE',[status(thm)],[43,64,33]) ).
cnf(84,plain,
( is_aligned('SKOLEMAAAV2','SKOLEMAAAV5')
| hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5') = mod1 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,66,32]),58]) ).
cnf(85,plain,
~ is_aligned('SKOLEMAAAV2','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[14,67,63]) ).
cnf(86,plain,
hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV5') = mod1,
inference('REWRITE',[status(thm)],[84,85]) ).
cnf(87,plain,
( ~ smaller(mod1,hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4'))
| hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') != mod2 ),
inference('REWRITE',[status(thm)],[81,86,theory(equality)]) ).
cnf(96,plain,
~ dissimilar('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[20,82,32,35]) ).
cnf(99,plain,
is_aligned('SKOLEMAAAV2','SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[16,96,32,63]) ).
cnf(104,plain,
hazard_of_mortality('SKOLEMAAAV2','SKOLEMAAAV4') = mod2,
inference('UR-RESOLVE',[status(thm)],[29,99,32,58,64]) ).
cnf(105,plain,
$false,
inference('REWRITE',[status(thm)],[87,52,104,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.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 09:31:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-06-09T09:31:47
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-09T09:31:47
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 210 formulas have been input or derived (from 74 formulas).
% 0.20/0.53 ; 105 (50%) were retained. Of these,
% 0.20/0.53 ; 11 (10%) were simplified or subsumed later,
% 0.20/0.53 ; 94 (90%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.006 12% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (14 calls)
% 0.20/0.53 ; 0.008 15% Process new row (194 calls)
% 0.20/0.53 ; 0.006 12% Resolution (146 calls)
% 0.20/0.53 ; 0.002 4% Paramodulation (73 calls)
% 0.20/0.53 ; 0.000 0% Factoring (3 calls)
% 0.20/0.53 ; 0.002 4% Condensing (50 calls)
% 0.20/0.53 ; 0.001 2% Forward subsumption (50 calls)
% 0.20/0.53 ; 0.001 2% Backward subsumption (48 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.20/0.53 ; 0.001 2% Forward simplification (194 calls)
% 0.20/0.53 ; 0.003 6% Backward simplification (105 calls)
% 0.20/0.53 ; 0.000 0% Ordering (60 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.021 40% Other
% 0.20/0.53 ; 0.052 Total
% 0.20/0.53 ; 0.057 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 112 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 38 entries (40 at peak, 48 added, 10 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 143 nodes (167 at peak, 233 added, 90 deleted).
% 0.20/0.53 ; Retrieved 7 possibly forward subsuming rows in 50 calls.
% 0.20/0.53 ; Retrieved 3 possibly backward subsumed rows in 48 calls.
% 0.20/0.53 ; Path-index has 116 entries (117 at peak, 135 added, 19 deleted).
% 0.20/0.53 ; Path-index has 211 nodes (213 at peak, 239 added, 28 deleted).
% 0.20/0.53 ; Trie-index has 116 entries (117 at peak, 135 added, 19 deleted).
% 0.20/0.53 ; Trie-index has 213 nodes (216 at peak, 260 added, 47 deleted).
% 0.20/0.53 ; Retrieved 146 generalization terms in 269 calls.
% 0.20/0.53 ; Retrieved 64 instance terms in 56 calls.
% 0.20/0.53 ; Retrieved 1,598 unifiable terms in 768 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 3 entries:
% 0.20/0.53 ; 2 with value 14 1 with value 20
% 0.20/0.53 ; The agenda of rows to give has 23 entries:
% 0.20/0.53 ; 6 with value (4 9) 2 with value (4 12) 1 with value (4 15)
% 0.20/0.53 ; 7 with value (4 10) 4 with value (4 13) 1 with value (4 16)
% 0.20/0.53 ; 2 with value (4 11)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.058 seconds of real time
% 0.20/0.53 0.046367 seconds of user run time
% 0.20/0.53 0.010822 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 5,301,928 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:31:47
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------