TSTP Solution File: MGT022+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n004.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 : 300s
% DateTime : Wed Jul 27 13:06:02 EDT 2022
% Result : Theorem 1.59s 1.80s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 7 unt; 3 nHn; 14 RR)
% Number of literals : 27 ( 0 equ; 11 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ constant(A)
| ~ decreases(A) ),
file('MGT022+1.p',unknown),
[] ).
cnf(2,axiom,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
file('MGT022+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
file('MGT022+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ increases(difference(disbanding_rate(first_movers,dollar_c1),disbanding_rate(efficient_producers,dollar_c1)))
| constant(resources(dollar_c2,dollar_c1)) ),
file('MGT022+1.p',unknown),
[] ).
cnf(6,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('MGT022+1.p',unknown),
[] ).
cnf(7,axiom,
environment(dollar_c2),
file('MGT022+1.p',unknown),
[] ).
cnf(8,axiom,
subpopulations(first_movers,efficient_producers,dollar_c2,dollar_c1),
file('MGT022+1.p',unknown),
[] ).
cnf(9,axiom,
( decreases(resources(dollar_c2,dollar_c1))
| constant(resources(dollar_c2,dollar_c1)) ),
file('MGT022+1.p',unknown),
[] ).
cnf(10,axiom,
( decreases(resources(dollar_c2,dollar_c1))
| decreases(difference(disbanding_rate(first_movers,dollar_c1),disbanding_rate(efficient_producers,dollar_c1))) ),
file('MGT022+1.p',unknown),
[] ).
cnf(11,plain,
( constant(resources(dollar_c2,dollar_c1))
| increases(difference(disbanding_rate(first_movers,dollar_c1),disbanding_rate(efficient_producers,dollar_c1))) ),
inference(hyper,[status(thm)],[9,2,7,8,6]),
[iquote('hyper,9,2,7,8,6')] ).
cnf(14,plain,
constant(resources(dollar_c2,dollar_c1)),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[11,4])]),
[iquote('hyper,11,4,factor_simp')] ).
cnf(15,plain,
constant(difference(disbanding_rate(first_movers,dollar_c1),disbanding_rate(efficient_producers,dollar_c1))),
inference(hyper,[status(thm)],[14,3,7,8,6]),
[iquote('hyper,14,3,7,8,6')] ).
cnf(16,plain,
decreases(difference(disbanding_rate(first_movers,dollar_c1),disbanding_rate(efficient_producers,dollar_c1))),
inference(hyper,[status(thm)],[14,1,10]),
[iquote('hyper,14,1,10')] ).
cnf(17,plain,
$false,
inference(hyper,[status(thm)],[16,1,15]),
[iquote('hyper,16,1,15')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n004.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 03:59:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.59/1.80 ----- Otter 3.3f, August 2004 -----
% 1.59/1.80 The process was started by sandbox on n004.cluster.edu,
% 1.59/1.80 Wed Jul 27 03:59:36 2022
% 1.59/1.80 The command was "./otter". The process ID is 3082.
% 1.59/1.80
% 1.59/1.80 set(prolog_style_variables).
% 1.59/1.80 set(auto).
% 1.59/1.80 dependent: set(auto1).
% 1.59/1.80 dependent: set(process_input).
% 1.59/1.80 dependent: clear(print_kept).
% 1.59/1.80 dependent: clear(print_new_demod).
% 1.59/1.80 dependent: clear(print_back_demod).
% 1.59/1.80 dependent: clear(print_back_sub).
% 1.59/1.80 dependent: set(control_memory).
% 1.59/1.80 dependent: assign(max_mem, 12000).
% 1.59/1.80 dependent: assign(pick_given_ratio, 4).
% 1.59/1.80 dependent: assign(stats_level, 1).
% 1.59/1.80 dependent: assign(max_seconds, 10800).
% 1.59/1.80 clear(print_given).
% 1.59/1.80
% 1.59/1.80 formula_list(usable).
% 1.59/1.80 all X (constant(X)-> -decreases(X)).
% 1.59/1.80 all E S1 S2 T (environment(E)&subpopulations(S1,S2,E,T)&greater(resilience(S2),resilience(S1))-> (decreases(resources(E,T))->increases(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))))& (constant(resources(E,T))->constant(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))))).
% 1.59/1.80 greater(resilience(efficient_producers),resilience(first_movers)).
% 1.59/1.80 -(all E T (environment(E)&subpopulations(first_movers,efficient_producers,E,T)-> (decreases(resources(E,T))->increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))& (constant(resources(E,T))-> -decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))))).
% 1.59/1.80 end_of_list.
% 1.59/1.80
% 1.59/1.80 -------> usable clausifies to:
% 1.59/1.80
% 1.59/1.80 list(usable).
% 1.59/1.80 0 [] -constant(X)| -decreases(X).
% 1.59/1.80 0 [] -environment(E)| -subpopulations(S1,S2,E,T)| -greater(resilience(S2),resilience(S1))| -decreases(resources(E,T))|increases(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))).
% 1.59/1.80 0 [] -environment(E)| -subpopulations(S1,S2,E,T)| -greater(resilience(S2),resilience(S1))| -constant(resources(E,T))|constant(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))).
% 1.59/1.80 0 [] greater(resilience(efficient_producers),resilience(first_movers)).
% 1.59/1.80 0 [] environment($c2).
% 1.59/1.80 0 [] subpopulations(first_movers,efficient_producers,$c2,$c1).
% 1.59/1.80 0 [] decreases(resources($c2,$c1))|constant(resources($c2,$c1)).
% 1.59/1.80 0 [] decreases(resources($c2,$c1))|decreases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1))).
% 1.59/1.80 0 [] -increases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1)))|constant(resources($c2,$c1)).
% 1.59/1.80 0 [] -increases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1)))|decreases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1))).
% 1.59/1.80 end_of_list.
% 1.59/1.80
% 1.59/1.80 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 1.59/1.80
% 1.59/1.80 This is a non-Horn set without equality. The strategy will
% 1.59/1.80 be ordered hyper_res, unit deletion, and factoring, with
% 1.59/1.80 satellites in sos and with nuclei in usable.
% 1.59/1.80
% 1.59/1.80 dependent: set(hyper_res).
% 1.59/1.80 dependent: set(factor).
% 1.59/1.80 dependent: set(unit_deletion).
% 1.59/1.80
% 1.59/1.80 ------------> process usable:
% 1.59/1.80 ** KEPT (pick-wt=4): 1 [] -constant(A)| -decreases(A).
% 1.59/1.80 ** KEPT (pick-wt=24): 2 [] -environment(A)| -subpopulations(B,C,A,D)| -greater(resilience(C),resilience(B))| -decreases(resources(A,D))|increases(difference(disbanding_rate(B,D),disbanding_rate(C,D))).
% 1.59/1.80 ** KEPT (pick-wt=24): 3 [] -environment(A)| -subpopulations(B,C,A,D)| -greater(resilience(C),resilience(B))| -constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D))).
% 1.59/1.80 ** KEPT (pick-wt=12): 4 [] -increases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1)))|constant(resources($c2,$c1)).
% 1.59/1.80 ** KEPT (pick-wt=16): 5 [] -increases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1)))|decreases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1))).
% 1.59/1.80
% 1.59/1.80 ------------> process sos:
% 1.59/1.80 ** KEPT (pick-wt=5): 6 [] greater(resilience(efficient_producers),resilience(first_movers)).
% 1.59/1.80 ** KEPT (pick-wt=2): 7 [] environment($c2).
% 1.59/1.80 ** KEPT (pick-wt=5): 8 [] subpopulations(first_movers,efficient_producers,$c2,$c1).
% 1.59/1.80 ** KEPT (pick-wt=8): 9 [] decreases(resources($c2,$c1))|constant(resources($c2,$c1)).
% 1.59/1.80 ** KEPT (pick-wt=12): 10 [] decreases(resources($c2,$c1))|decreases(difference(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1))).
% 1.59/1.80
% 1.59/1.80 ======= end of input processing =======
% 1.59/1.80
% 1.59/1.80 =========== start of search ===========
% 1.59/1.80
% 1.59/1.80 -------- PROOF --------
% 1.59/1.80
% 1.59/1.80 -----> EMPTY CLAUSE at 0.00 sec ----> 17 [hyper,16,1,15] $F.
% 1.59/1.80
% 1.59/1.80 Length of proof is 4. Level of proof is 3.
% 1.59/1.80
% 1.59/1.80 ---------------- PROOF ----------------
% 1.59/1.80 % SZS status Theorem
% 1.59/1.80 % SZS output start Refutation
% See solution above
% 1.59/1.80 ------------ end of proof -------------
% 1.59/1.80
% 1.59/1.80
% 1.59/1.80 Search stopped by max_proofs option.
% 1.59/1.80
% 1.59/1.80
% 1.59/1.80 Search stopped by max_proofs option.
% 1.59/1.80
% 1.59/1.80 ============ end of search ============
% 1.59/1.80
% 1.59/1.80 -------------- statistics -------------
% 1.59/1.80 clauses given 9
% 1.59/1.80 clauses generated 7
% 1.59/1.80 clauses kept 16
% 1.59/1.80 clauses forward subsumed 0
% 1.59/1.80 clauses back subsumed 7
% 1.59/1.80 Kbytes malloced 976
% 1.59/1.80
% 1.59/1.80 ----------- times (seconds) -----------
% 1.59/1.80 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.59/1.80 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.59/1.80 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.59/1.80
% 1.59/1.80 That finishes the proof of the theorem.
% 1.59/1.80
% 1.59/1.80 Process 3082 finished Wed Jul 27 03:59:37 2022
% 1.59/1.80 Otter interrupted
% 1.59/1.80 PROOF FOUND
%------------------------------------------------------------------------------