TSTP Solution File: MGT028-1 by SOS---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SOS---2.0
% Problem  : MGT028-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sos-script %s

% Computer : n025.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 22:25:53 EDT 2022

% Result   : Unsatisfiable 0.39s 0.58s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT028-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : sos-script %s
% 0.13/0.34  % Computer : n025.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 11:03:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.36  ----- Otter 3.2, August 2001 -----
% 0.19/0.36  The process was started by sandbox2 on n025.cluster.edu,
% 0.19/0.36  Thu Jun  9 11:03:20 2022
% 0.19/0.36  The command was "./sos".  The process ID is 4117.
% 0.19/0.36  
% 0.19/0.36  set(prolog_style_variables).
% 0.19/0.36  set(auto).
% 0.19/0.36     dependent: set(auto1).
% 0.19/0.36     dependent: set(process_input).
% 0.19/0.36     dependent: clear(print_kept).
% 0.19/0.36     dependent: clear(print_new_demod).
% 0.19/0.36     dependent: clear(print_back_demod).
% 0.19/0.36     dependent: clear(print_back_sub).
% 0.19/0.36     dependent: set(control_memory).
% 0.19/0.36     dependent: assign(max_mem, 12000).
% 0.19/0.36     dependent: assign(pick_given_ratio, 4).
% 0.19/0.36     dependent: assign(stats_level, 1).
% 0.19/0.36     dependent: assign(pick_semantic_ratio, 3).
% 0.19/0.36     dependent: assign(sos_limit, 5000).
% 0.19/0.36     dependent: assign(max_weight, 60).
% 0.19/0.36  clear(print_given).
% 0.19/0.36  
% 0.19/0.36  list(usable).
% 0.19/0.36  
% 0.19/0.36  SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 0.19/0.36  
% 0.19/0.36  This is a non-Horn set without equality.  The strategy
% 0.19/0.36  will be ordered hyper_res, ur_res, unit deletion, and
% 0.19/0.36  factoring, with satellites in sos and nuclei in usable.
% 0.19/0.36  
% 0.19/0.36     dependent: set(hyper_res).
% 0.19/0.36     dependent: set(factor).
% 0.19/0.36     dependent: set(unit_deletion).
% 0.19/0.36  
% 0.19/0.36  ------------> process usable:
% 0.19/0.36  
% 0.19/0.36  ------------> process sos:
% 0.19/0.36  
% 0.19/0.36  ======= end of input processing =======
% 0.19/0.43  
% 0.19/0.43  Model 1 (0.00 seconds, 0 Inserts)
% 0.19/0.43  
% 0.19/0.43  Stopped by limit on number of solutions
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  -------------- Softie stats --------------
% 0.19/0.43  
% 0.19/0.43  UPDATE_STOP: 300
% 0.19/0.43  SFINDER_TIME_LIMIT: 2
% 0.19/0.43  SHORT_CLAUSE_CUTOFF: 4
% 0.19/0.43  number of clauses in intial UL: 12
% 0.19/0.43  number of clauses initially in problem: 14
% 0.19/0.43  percentage of clauses intially in UL: 85
% 0.19/0.43  percentage of distinct symbols occuring in initial UL: 100
% 0.19/0.43  percent of all initial clauses that are short: 92
% 0.19/0.43  absolute distinct symbol count: 16
% 0.19/0.43     distinct predicate count: 6
% 0.19/0.43     distinct function count: 6
% 0.19/0.43     distinct constant count: 4
% 0.19/0.43  
% 0.19/0.43  ---------- no more Softie stats ----------
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  =========== start of search ===========
% 0.39/0.58  
% 0.39/0.58  -------- PROOF -------- 
% 0.39/0.58  % SZS status Unsatisfiable
% 0.39/0.58  % SZS output start Refutation
% 0.39/0.58  
% 0.39/0.58  Stopped by limit on insertions
% 0.39/0.58  
% 0.39/0.58  -----> EMPTY CLAUSE at   0.20 sec ----> 37 [hyper,36,12,27] {-} $F.
% 0.39/0.58  
% 0.39/0.58  Length of proof is 14.  Level of proof is 11.
% 0.39/0.58  
% 0.39/0.58  ---------------- PROOF ----------------
% 0.39/0.58  % SZS status Unsatisfiable
% 0.39/0.58  % SZS output start Refutation
% 0.39/0.58  
% 0.39/0.58  1 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|greater(sk2(A),appear(efficient_producers,A)).
% 0.39/0.58  2 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_equal(sk1(B,A),B)|greater(sk2(A),appear(efficient_producers,A)).
% 0.39/0.58  3 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))| -subpopulations(first_movers,efficient_producers,A,C)| -greater_or_equal(C,sk2(A))|greater(zero,growth_rate(first_movers,C)).
% 0.39/0.58  4 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_equal(sk1(B,A),B)| -subpopulations(first_movers,efficient_producers,A,C)| -greater_or_equal(C,sk2(A))|greater(zero,growth_rate(first_movers,C)).
% 0.39/0.58  5 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,sk1(B,A)))|greater(sk2(A),appear(efficient_producers,A)).
% 0.39/0.58  6 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,sk1(B,A)))| -subpopulations(first_movers,efficient_producers,A,C)| -greater_or_equal(C,sk2(A))|greater(zero,growth_rate(first_movers,C)).
% 0.39/0.58  7 [] {+} -environment(A)| -stable(A)|in_environment(A,sk3(A)).
% 0.39/0.58  9 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,sk3(A))|greater(zero,growth_rate(first_movers,B)).
% 0.39/0.58  10 [] {+} -greater(A,appear(efficient_producers,sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(A)).
% 0.39/0.58  11 [] {+} -greater(A,appear(efficient_producers,sk4))|greater_or_equal(sk5(A),A).
% 0.39/0.58  12 [] {+} -greater(A,appear(efficient_producers,sk4))| -greater(zero,growth_rate(first_movers,sk5(A))).
% 0.39/0.58  13 [] {+} environment(sk4).
% 0.39/0.58  14 [] {-} stable(sk4).
% 0.39/0.58  15 [hyper,14,7,13] {+} in_environment(sk4,sk3(sk4)).
% 0.39/0.58  16 [hyper,15,2,13,14] {+} greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(sk2(sk4),appear(efficient_producers,sk4)).
% 0.39/0.58  17 [hyper,15,1,13,14] {-} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(sk2(sk4),appear(efficient_producers,sk4)).
% 0.39/0.58  18 [hyper,17,11] {+} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater_or_equal(sk5(sk2(sk4)),sk2(sk4)).
% 0.39/0.58  19 [hyper,17,10] {-} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))).
% 0.39/0.58  23 [hyper,19,3,13,14,15,18,factor_simp,factor_simp] {+} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))).
% 0.39/0.58  24 [hyper,23,12,17,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)).
% 0.39/0.58  25 [hyper,24,9,13,14,16] {+} greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater(sk2(sk4),appear(efficient_producers,sk4)).
% 0.39/0.58  27 [hyper,25,5,13,14,15,factor_simp] {-} greater(sk2(sk4),appear(efficient_producers,sk4)).
% 0.39/0.58  30 [hyper,27,11] {+} greater_or_equal(sk5(sk2(sk4)),sk2(sk4)).
% 0.39/0.58  31 [hyper,27,10] {-} subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))).
% 0.39/0.58  32 [hyper,30,4,13,14,15,31] {+} greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))).
% 0.39/0.58  33 [hyper,32,9,13,14,24] {+} greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))|greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))).
% 0.39/0.58  36 [hyper,33,6,13,14,15,31,30,factor_simp] {+} greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))).
% 0.39/0.58  37 [hyper,36,12,27] {-} $F.
% 0.39/0.58  
% 0.39/0.58  % SZS output end Refutation
% 0.39/0.58  ------------ end of proof -------------
% 0.39/0.58  
% 0.39/0.58  
% 0.39/0.58  Search stopped by max_proofs option.
% 0.39/0.58  
% 0.39/0.58  
% 0.39/0.58  Search stopped by max_proofs option.
% 0.39/0.58  
% 0.39/0.58  ============ end of search ============
% 0.39/0.58  
% 0.39/0.58  ----------- soft-scott stats ----------
% 0.39/0.58  
% 0.39/0.58  true clauses given          11      (64.7%)
% 0.39/0.58  false clauses given          6
% 0.39/0.58  
% 0.39/0.58        FALSE     TRUE
% 0.39/0.58  tot:  0         0      (-nan% true)
% 0.39/0.58  
% 0.39/0.58  
% 0.39/0.58  Model 1 (0.00 seconds, 0 Inserts)
% 0.39/0.58  
% 0.39/0.58  That finishes the proof of the theorem.
% 0.39/0.58  
% 0.39/0.58  Process 4117 finished Thu Jun  9 11:03:20 2022
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