TSTP Solution File: MGT020+1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n027.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 22:25:50 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : sos-script %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 12:43:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 ----- Otter 3.2, August 2001 -----
% 0.13/0.35 The process was started by sandbox on n027.cluster.edu,
% 0.13/0.35 Thu Jun 9 12:43:12 2022
% 0.13/0.35 The command was "./sos". The process ID is 9349.
% 0.13/0.35
% 0.13/0.35 set(prolog_style_variables).
% 0.13/0.35 set(auto).
% 0.13/0.35 dependent: set(auto1).
% 0.13/0.35 dependent: set(process_input).
% 0.13/0.35 dependent: clear(print_kept).
% 0.13/0.35 dependent: clear(print_new_demod).
% 0.13/0.35 dependent: clear(print_back_demod).
% 0.13/0.35 dependent: clear(print_back_sub).
% 0.13/0.35 dependent: set(control_memory).
% 0.13/0.35 dependent: assign(max_mem, 12000).
% 0.13/0.35 dependent: assign(pick_given_ratio, 4).
% 0.13/0.35 dependent: assign(stats_level, 1).
% 0.13/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.13/0.35 dependent: assign(sos_limit, 5000).
% 0.13/0.35 dependent: assign(max_weight, 60).
% 0.13/0.35 clear(print_given).
% 0.13/0.35
% 0.13/0.35 formula_list(usable).
% 0.13/0.35
% 0.13/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 0.13/0.35
% 0.13/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.13/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.13/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.13/0.35 clauses in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(knuth_bendix).
% 0.13/0.35 dependent: set(para_from).
% 0.13/0.35 dependent: set(para_into).
% 0.13/0.35 dependent: clear(para_from_right).
% 0.13/0.35 dependent: clear(para_into_right).
% 0.13/0.35 dependent: set(para_from_vars).
% 0.13/0.35 dependent: set(eq_units_both_ways).
% 0.13/0.35 dependent: set(dynamic_demod_all).
% 0.13/0.35 dependent: set(dynamic_demod).
% 0.13/0.35 dependent: set(order_eq).
% 0.13/0.35 dependent: set(back_demod).
% 0.13/0.35 dependent: set(lrpo).
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35 Following clause subsumed by 16 during input processing: 0 [copy,16,flip.1] {-} A=A.
% 0.13/0.35
% 0.13/0.35 ======= end of input processing =======
% 0.20/0.56
% 0.20/0.56 Stopped by limit on insertions
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 Failed to model usable list: disabling FINDER
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 -------------- Softie stats --------------
% 0.20/0.56
% 0.20/0.56 UPDATE_STOP: 300
% 0.20/0.56 SFINDER_TIME_LIMIT: 2
% 0.20/0.56 SHORT_CLAUSE_CUTOFF: 4
% 0.20/0.56 number of clauses in intial UL: 13
% 0.20/0.56 number of clauses initially in problem: 16
% 0.20/0.56 percentage of clauses intially in UL: 81
% 0.20/0.56 percentage of distinct symbols occuring in initial UL: 93
% 0.20/0.56 percent of all initial clauses that are short: 93
% 0.20/0.56 absolute distinct symbol count: 15
% 0.20/0.56 distinct predicate count: 7
% 0.20/0.56 distinct function count: 4
% 0.20/0.56 distinct constant count: 4
% 0.20/0.56
% 0.20/0.56 ---------- no more Softie stats ----------
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 =========== start of search ===========
% 0.20/0.56
% 0.20/0.56 -------- PROOF --------
% 0.20/0.56 % SZS status Theorem
% 0.20/0.56 % SZS output start Refutation
% 0.20/0.56
% 0.20/0.56 -----> EMPTY CLAUSE at 0.19 sec ----> 254 [hyper,242,1,14,217] {-} $F.
% 0.20/0.56
% 0.20/0.56 Length of proof is 10. Level of proof is 7.
% 0.20/0.56
% 0.20/0.56 ---------------- PROOF ----------------
% 0.20/0.56 % SZS status Theorem
% 0.20/0.56 % SZS output start Refutation
% 0.20/0.56
% 0.20/0.56 1 [] {+} -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)| -decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))).
% 0.20/0.56 2 [] {+} -environment(A)| -in_environment(A,initial_FM_EP(A))|subpopulations(first_movers,efficient_producers,A,initial_FM_EP(A)).
% 0.20/0.56 3 [] {+} -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)|greater_or_equal(B,initial_FM_EP(A)).
% 0.20/0.56 4 [] {+} -environment(A)| -greater_or_equal(B,C)| -greater_or_equal(D,B)| -subpopulations(first_movers,efficient_producers,A,D)| -greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))|decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))|greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D)).
% 0.20/0.56 5 [] {+} -environment(A)| -subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B).
% 0.20/0.56 6 [] {+} -environment(A)|greater_or_equal(initial_FM_EP(A),start_time(A)).
% 0.20/0.56 7 [] {+} -environment(A)| -greater_or_equal(B,start_time(A))| -greater(C,B)| -in_environment(A,C)|in_environment(A,B).
% 0.20/0.56 9 [] {+} -greater_or_equal(A,B)|greater(A,B)|A=B.
% 0.20/0.56 10 [] {+} -environment(A)|greater(disbanding_rate(first_movers,initial_FM_EP(A)),disbanding_rate(efficient_producers,initial_FM_EP(A))).
% 0.20/0.56 12 [] {+} -greater(disbanding_rate(first_movers,$c1),disbanding_rate(efficient_producers,$c1)).
% 0.20/0.56 14 [] {-} environment($c2).
% 0.20/0.56 15 [] {-} subpopulations(first_movers,efficient_producers,$c2,$c1).
% 0.20/0.56 17 [hyper,14,10] {-} greater(disbanding_rate(first_movers,initial_FM_EP($c2)),disbanding_rate(efficient_producers,initial_FM_EP($c2))).
% 0.20/0.56 18 [hyper,14,6] {-} greater_or_equal(initial_FM_EP($c2),start_time($c2)).
% 0.20/0.56 20 [hyper,15,5,14] {-} in_environment($c2,$c1).
% 0.20/0.56 21 [hyper,15,3,14] {-} greater_or_equal($c1,initial_FM_EP($c2)).
% 0.20/0.56 28 [hyper,21,9,flip.2] {-} greater($c1,initial_FM_EP($c2))|initial_FM_EP($c2)=$c1.
% 0.20/0.56 47 [hyper,28,7,14,18,20] {-} initial_FM_EP($c2)=$c1|in_environment($c2,initial_FM_EP($c2)).
% 0.20/0.56 70 [hyper,47,2,14] {-} initial_FM_EP($c2)=$c1|subpopulations(first_movers,efficient_producers,$c2,initial_FM_EP($c2)).
% 0.20/0.56 217 [para_from,70.1.1,2.2.2,unit_del,14,20,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c2,initial_FM_EP($c2)).
% 0.20/0.56 219 [hyper,217,3,14] {-} greater_or_equal(initial_FM_EP($c2),initial_FM_EP($c2)).
% 0.20/0.56 242 [hyper,219,4,14,21,15,17,unit_del,12] {-} decreases(difference(disbanding_rate(first_movers,initial_FM_EP($c2)),disbanding_rate(efficient_producers,initial_FM_EP($c2)))).
% 0.20/0.56 254 [hyper,242,1,14,217] {-} $F.
% 0.20/0.56
% 0.20/0.56 % SZS output end Refutation
% 0.20/0.56 ------------ end of proof -------------
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 Search stopped by max_proofs option.
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 Search stopped by max_proofs option.
% 0.20/0.56
% 0.20/0.56 ============ end of search ============
% 0.20/0.56
% 0.20/0.56 That finishes the proof of the theorem.
% 0.20/0.56
% 0.20/0.56 Process 9349 finished Thu Jun 9 12:43:13 2022
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