TSTP Solution File: MGT027-1 by SOS---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% 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 22:25:52 EDT 2022
% Result : Unsatisfiable 10.72s 10.94s
% Output : Refutation 10.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT027-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : sos-script %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 9 09:24:21 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.34 ----- Otter 3.2, August 2001 -----
% 0.11/0.34 The process was started by sandbox on n020.cluster.edu,
% 0.11/0.34 Thu Jun 9 09:24:21 2022
% 0.11/0.34 The command was "./sos". The process ID is 12367.
% 0.11/0.34
% 0.11/0.34 set(prolog_style_variables).
% 0.11/0.34 set(auto).
% 0.11/0.34 dependent: set(auto1).
% 0.11/0.34 dependent: set(process_input).
% 0.11/0.34 dependent: clear(print_kept).
% 0.11/0.34 dependent: clear(print_new_demod).
% 0.11/0.34 dependent: clear(print_back_demod).
% 0.11/0.34 dependent: clear(print_back_sub).
% 0.11/0.34 dependent: set(control_memory).
% 0.11/0.34 dependent: assign(max_mem, 12000).
% 0.11/0.34 dependent: assign(pick_given_ratio, 4).
% 0.11/0.34 dependent: assign(stats_level, 1).
% 0.11/0.34 dependent: assign(pick_semantic_ratio, 3).
% 0.11/0.34 dependent: assign(sos_limit, 5000).
% 0.11/0.34 dependent: assign(max_weight, 60).
% 0.11/0.34 clear(print_given).
% 0.11/0.34
% 0.11/0.34 list(usable).
% 0.11/0.34
% 0.11/0.34 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.11/0.34
% 0.11/0.34 This ia a non-Horn set with equality. The strategy will be
% 0.11/0.34 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.11/0.34 unit deletion, with positive clauses in sos and nonpositive
% 0.11/0.34 clauses in usable.
% 0.11/0.34
% 0.11/0.34 dependent: set(knuth_bendix).
% 0.11/0.34 dependent: set(para_from).
% 0.11/0.34 dependent: set(para_into).
% 0.11/0.34 dependent: clear(para_from_right).
% 0.11/0.34 dependent: clear(para_into_right).
% 0.11/0.34 dependent: set(para_from_vars).
% 0.11/0.34 dependent: set(eq_units_both_ways).
% 0.11/0.34 dependent: set(dynamic_demod_all).
% 0.11/0.34 dependent: set(dynamic_demod).
% 0.11/0.34 dependent: set(order_eq).
% 0.11/0.34 dependent: set(back_demod).
% 0.11/0.34 dependent: set(lrpo).
% 0.11/0.34 dependent: set(hyper_res).
% 0.11/0.34 dependent: set(unit_deletion).
% 0.11/0.34 dependent: set(factor).
% 0.11/0.34
% 0.11/0.34 ------------> process usable:
% 0.11/0.34
% 0.11/0.34 ------------> process sos:
% 0.11/0.34 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] {-} A=A.
% 0.11/0.34
% 0.11/0.34 ======= end of input processing =======
% 0.36/0.55
% 0.36/0.55 Stopped by limit on insertions
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 Failed to model usable list: disabling FINDER
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 -------------- Softie stats --------------
% 0.36/0.55
% 0.36/0.55 UPDATE_STOP: 300
% 0.36/0.55 SFINDER_TIME_LIMIT: 2
% 0.36/0.55 SHORT_CLAUSE_CUTOFF: 4
% 0.36/0.55 number of clauses in intial UL: 14
% 0.36/0.55 number of clauses initially in problem: 17
% 0.36/0.55 percentage of clauses intially in UL: 82
% 0.36/0.55 percentage of distinct symbols occuring in initial UL: 100
% 0.36/0.55 percent of all initial clauses that are short: 94
% 0.36/0.55 absolute distinct symbol count: 17
% 0.36/0.55 distinct predicate count: 8
% 0.36/0.55 distinct function count: 5
% 0.36/0.55 distinct constant count: 4
% 0.36/0.55
% 0.36/0.55 ---------- no more Softie stats ----------
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 =========== start of search ===========
% 7.42/7.64
% 7.42/7.64
% 7.42/7.64 Changing weight limit from 60 to 35.
% 7.42/7.64
% 7.42/7.64 Modelling stopped after 300 given clauses and 0.00 seconds
% 7.42/7.64
% 7.42/7.64
% 7.42/7.64 Resetting weight limit to 35 after 635 givens.
% 7.42/7.64
% 7.70/7.92
% 7.70/7.92
% 7.70/7.92 Changing weight limit from 35 to 32.
% 7.70/7.92
% 7.70/7.92 Resetting weight limit to 32 after 640 givens.
% 7.70/7.92
% 7.87/8.12
% 7.87/8.12
% 7.87/8.12 Changing weight limit from 32 to 30.
% 7.87/8.12
% 7.87/8.12 Resetting weight limit to 30 after 645 givens.
% 7.87/8.12
% 8.54/8.73
% 8.54/8.73
% 8.54/8.73 Changing weight limit from 30 to 29.
% 8.54/8.73
% 8.54/8.73 Resetting weight limit to 29 after 660 givens.
% 8.54/8.73
% 8.89/9.11
% 8.89/9.11
% 8.89/9.11 Changing weight limit from 29 to 28.
% 8.89/9.11
% 8.89/9.11 Resetting weight limit to 28 after 670 givens.
% 8.89/9.11
% 9.64/9.82
% 9.64/9.82
% 9.64/9.82 Changing weight limit from 28 to 27.
% 9.64/9.82
% 9.64/9.82 Resetting weight limit to 27 after 685 givens.
% 9.64/9.82
% 10.72/10.94
% 10.72/10.94 -- HEY sandbox, WE HAVE A PROOF!! --
% 10.72/10.94
% 10.72/10.94 -----> EMPTY CLAUSE at 10.57 sec ----> 7089 [hyper,7088,14,19] {-} $F.
% 10.72/10.94
% 10.72/10.94 Length of proof is 33. Level of proof is 23.
% 10.72/10.94
% 10.72/10.94 ---------------- PROOF ----------------
% 10.72/10.94 % SZS status Unsatisfiable
% 10.72/10.94 % SZS output start Refutation
% 10.72/10.94
% 10.72/10.94 1 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater(cardinality_at_time(first_movers,sk1(B,A)),zero)|contracts_from(B,first_movers).
% 10.72/10.94 2 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_equal(sk1(B,A),B)|contracts_from(B,first_movers).
% 10.72/10.94 3 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,sk1(B,A)))|contracts_from(B,first_movers).
% 10.72/10.94 4 [] {+} -environment(A)| -in_environment(A,B)| -greater(cardinality_at_time(first_movers,B),zero)| -greater(cardinality_at_time(efficient_producers,B),zero)|subpopulations(first_movers,efficient_producers,A,B).
% 10.72/10.94 5 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(C,B)|in_environment(A,C).
% 10.72/10.94 6 [] {+} -environment(A)| -stable(A)|in_environment(A,appear(efficient_producers,A)).
% 10.72/10.94 7 [] {+} -greater(A,B)| -greater(B,C)|greater(A,C).
% 10.72/10.94 8 [] {+} -greater_or_equal(A,B)|greater(A,B)|A=B.
% 10.72/10.94 9 [] {+} -greater(A,B)|greater_or_equal(A,B).
% 10.72/10.94 10 [] {+} A!=B|greater_or_equal(A,B).
% 10.72/10.94 11 [] {+} -environment(A)| -in_environment(A,B)| -greater_or_equal(B,appear(efficient_producers,A))|greater(cardinality_at_time(efficient_producers,B),zero).
% 10.72/10.94 12 [] {+} -environment(A)| -stable(A)|greater(sk2(A),appear(efficient_producers,A)).
% 10.72/10.94 13 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,sk2(A))|greater(zero,growth_rate(first_movers,B)).
% 10.72/10.94 14 [] {+} -greater(A,appear(efficient_producers,sk3))| -contracts_from(A,first_movers).
% 10.72/10.94 15 [] {-} environment(sk3).
% 10.72/10.94 16 [] {-} stable(sk3).
% 10.72/10.94 17 [] {-} A=A.
% 10.72/10.94 19 [hyper,16,12,15] {-} greater(sk2(sk3),appear(efficient_producers,sk3)).
% 10.72/10.94 20 [hyper,16,6,15] {-} in_environment(sk3,appear(efficient_producers,sk3)).
% 10.72/10.94 22 [hyper,17,10] {-} greater_or_equal(A,A).
% 10.72/10.94 32 [hyper,19,9] {-} greater_or_equal(sk2(sk3),appear(efficient_producers,sk3)).
% 10.72/10.94 33 [hyper,19,5,15,16,20] {-} in_environment(sk3,sk2(sk3)).
% 10.72/10.94 39 [hyper,33,2,15,16] {-} greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))|contracts_from(sk2(sk3),first_movers).
% 10.72/10.94 40 [hyper,33,1,15,16] {-} greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)|contracts_from(sk2(sk3),first_movers).
% 10.72/10.94 44 [hyper,32,11,15,33] {-} greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero).
% 10.72/10.94 126 [hyper,39,8] {-} contracts_from(sk2(sk3),first_movers)|greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk1(sk2(sk3),sk3)=sk2(sk3).
% 10.72/10.94 1816 [hyper,126,5,15,16,33] {-} contracts_from(sk2(sk3),first_movers)|sk1(sk2(sk3),sk3)=sk2(sk3)|in_environment(sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 1834 [para_from,126.3.1,40.1.1.2,factor_simp] {-} greater(cardinality_at_time(first_movers,sk2(sk3)),zero)|contracts_from(sk2(sk3),first_movers)|greater(sk1(sk2(sk3),sk3),sk2(sk3)).
% 10.72/10.94 1835 [para_from,126.3.1,3.4.2.2,unit_del,15,16,33,factor_simp] {-} -greater(zero,growth_rate(first_movers,sk2(sk3)))|contracts_from(sk2(sk3),first_movers)|greater(sk1(sk2(sk3),sk3),sk2(sk3)).
% 10.72/10.94 2133 [para_from,1816.2.1,3.4.2.2,unit_del,15,16,33,factor_simp] {-} -greater(zero,growth_rate(first_movers,sk2(sk3)))|contracts_from(sk2(sk3),first_movers)|in_environment(sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 2197 [hyper,1834,4,15,33,44] {-} contracts_from(sk2(sk3),first_movers)|greater(sk1(sk2(sk3),sk3),sk2(sk3))|subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)).
% 10.72/10.94 2418 [hyper,2197,7,19] {-} contracts_from(sk2(sk3),first_movers)|subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)).
% 10.72/10.94 2419 [hyper,2197,5,15,16,33] {-} contracts_from(sk2(sk3),first_movers)|subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|in_environment(sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 3468 [hyper,2418,9] {-} contracts_from(sk2(sk3),first_movers)|subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)).
% 10.72/10.94 4210 [hyper,3468,11,15,2419,factor_simp,factor_simp] {-} contracts_from(sk2(sk3),first_movers)|subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero).
% 10.72/10.94 4897 [hyper,4210,4,15,2419,40,factor_simp,factor_simp,factor_simp] {-} contracts_from(sk2(sk3),first_movers)|subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 5955 [hyper,4897,14,19] {-} subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 5967 [hyper,5955,13,15,16,39] {-} subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))|contracts_from(sk2(sk3),first_movers).
% 10.72/10.94 6842 [hyper,5967,3,15,16,33,factor_simp] {-} subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|contracts_from(sk2(sk3),first_movers).
% 10.72/10.94 6843 [hyper,6842,14,19] {-} subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)).
% 10.72/10.94 6844 [hyper,6843,13,15,16,22] {-} greater(zero,growth_rate(first_movers,sk2(sk3))).
% 10.72/10.94 6850 [hyper,6844,2133] {-} contracts_from(sk2(sk3),first_movers)|in_environment(sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 6851 [hyper,6844,1835] {-} contracts_from(sk2(sk3),first_movers)|greater(sk1(sk2(sk3),sk3),sk2(sk3)).
% 10.72/10.94 6935 [hyper,6851,7,19] {-} contracts_from(sk2(sk3),first_movers)|greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)).
% 10.72/10.94 7006 [hyper,6935,9] {-} contracts_from(sk2(sk3),first_movers)|greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3)).
% 10.72/10.94 7022 [hyper,7006,11,15,6850,factor_simp] {-} contracts_from(sk2(sk3),first_movers)|greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero).
% 10.72/10.94 7037 [hyper,7022,4,15,6850,40,factor_simp,factor_simp] {-} contracts_from(sk2(sk3),first_movers)|subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 7058 [hyper,7037,14,19] {-} subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)).
% 10.72/10.94 7059 [hyper,7058,13,15,16,39] {-} greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))|contracts_from(sk2(sk3),first_movers).
% 10.72/10.94 7088 [hyper,7059,3,15,16,33,factor_simp] {-} contracts_from(sk2(sk3),first_movers).
% 10.72/10.94 7089 [hyper,7088,14,19] {-} $F.
% 10.72/10.94
% 10.72/10.94 % SZS output end Refutation
% 10.72/10.94 ------------ end of proof -------------
% 10.72/10.94
% 10.72/10.94
% 10.72/10.94 Search stopped by max_proofs option.
% 10.72/10.94
% 10.72/10.94
% 10.72/10.94 Search stopped by max_proofs option.
% 10.72/10.94
% 10.72/10.94 ============ end of search ============
% 10.72/10.94
% 10.72/10.94 That finishes the proof of the theorem.
% 10.72/10.94
% 10.72/10.94 Process 12367 finished Thu Jun 9 09:24:31 2022
%------------------------------------------------------------------------------