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 v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n019.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 : Theorem 11.06s 11.27s
% Output : Refutation 11.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT027+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.12/0.33 % Computer : n019.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 11:50:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 ----- Otter 3.2, August 2001 -----
% 0.12/0.35 The process was started by sandbox on n019.cluster.edu,
% 0.12/0.35 Thu Jun 9 11:50:55 2022
% 0.12/0.35 The command was "./sos". The process ID is 15885.
% 0.12/0.35
% 0.12/0.35 set(prolog_style_variables).
% 0.12/0.35 set(auto).
% 0.12/0.35 dependent: set(auto1).
% 0.12/0.35 dependent: set(process_input).
% 0.12/0.35 dependent: clear(print_kept).
% 0.12/0.35 dependent: clear(print_new_demod).
% 0.12/0.35 dependent: clear(print_back_demod).
% 0.12/0.35 dependent: clear(print_back_sub).
% 0.12/0.35 dependent: set(control_memory).
% 0.12/0.35 dependent: assign(max_mem, 12000).
% 0.12/0.35 dependent: assign(pick_given_ratio, 4).
% 0.12/0.35 dependent: assign(stats_level, 1).
% 0.12/0.35 dependent: assign(pick_semantic_ratio, 3).
% 0.12/0.35 dependent: assign(sos_limit, 5000).
% 0.12/0.35 dependent: assign(max_weight, 60).
% 0.12/0.35 clear(print_given).
% 0.12/0.35
% 0.12/0.35 formula_list(usable).
% 0.12/0.35
% 0.12/0.35 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 0.12/0.35
% 0.12/0.35 This ia a non-Horn set with equality. The strategy will be
% 0.12/0.35 Knuth-Bendix, ordered hyper_res, ur_res, factoring, and
% 0.12/0.35 unit deletion, with positive clauses in sos and nonpositive
% 0.12/0.35 clauses in usable.
% 0.12/0.35
% 0.12/0.35 dependent: set(knuth_bendix).
% 0.12/0.35 dependent: set(para_from).
% 0.12/0.35 dependent: set(para_into).
% 0.12/0.35 dependent: clear(para_from_right).
% 0.12/0.35 dependent: clear(para_into_right).
% 0.12/0.35 dependent: set(para_from_vars).
% 0.12/0.35 dependent: set(eq_units_both_ways).
% 0.12/0.35 dependent: set(dynamic_demod_all).
% 0.12/0.35 dependent: set(dynamic_demod).
% 0.12/0.35 dependent: set(order_eq).
% 0.12/0.35 dependent: set(back_demod).
% 0.12/0.35 dependent: set(lrpo).
% 0.12/0.35 dependent: set(hyper_res).
% 0.12/0.35 dependent: set(unit_deletion).
% 0.12/0.35 dependent: set(factor).
% 0.12/0.35
% 0.12/0.35 ------------> process usable:
% 0.12/0.35
% 0.12/0.35 ------------> process sos:
% 0.12/0.35 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] {-} A=A.
% 0.12/0.35
% 0.12/0.35 ======= end of input processing =======
% 0.37/0.56
% 0.37/0.56 Stopped by limit on insertions
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56 Failed to model usable list: disabling FINDER
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56 -------------- Softie stats --------------
% 0.37/0.56
% 0.37/0.56 UPDATE_STOP: 300
% 0.37/0.56 SFINDER_TIME_LIMIT: 2
% 0.37/0.56 SHORT_CLAUSE_CUTOFF: 4
% 0.37/0.56 number of clauses in intial UL: 14
% 0.37/0.56 number of clauses initially in problem: 17
% 0.37/0.56 percentage of clauses intially in UL: 82
% 0.37/0.56 percentage of distinct symbols occuring in initial UL: 100
% 0.37/0.56 percent of all initial clauses that are short: 94
% 0.37/0.56 absolute distinct symbol count: 17
% 0.37/0.56 distinct predicate count: 8
% 0.37/0.56 distinct function count: 5
% 0.37/0.56 distinct constant count: 4
% 0.37/0.56
% 0.37/0.56 ---------- no more Softie stats ----------
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56
% 0.37/0.56 =========== start of search ===========
% 7.65/7.87
% 7.65/7.87
% 7.65/7.87 Changing weight limit from 60 to 35.
% 7.65/7.87
% 7.65/7.87 Modelling stopped after 300 given clauses and 0.00 seconds
% 7.65/7.87
% 7.65/7.87
% 7.65/7.87 Resetting weight limit to 35 after 635 givens.
% 7.65/7.87
% 7.94/8.15
% 7.94/8.15
% 7.94/8.15 Changing weight limit from 35 to 32.
% 7.94/8.15
% 7.94/8.15 Resetting weight limit to 32 after 640 givens.
% 7.94/8.15
% 8.17/8.36
% 8.17/8.36
% 8.17/8.36 Changing weight limit from 32 to 30.
% 8.17/8.36
% 8.17/8.36 Resetting weight limit to 30 after 645 givens.
% 8.17/8.36
% 8.76/8.99
% 8.76/8.99
% 8.76/8.99 Changing weight limit from 30 to 29.
% 8.76/8.99
% 8.76/8.99 Resetting weight limit to 29 after 660 givens.
% 8.76/8.99
% 9.15/9.37
% 9.15/9.37
% 9.15/9.37 Changing weight limit from 29 to 28.
% 9.15/9.37
% 9.15/9.37 Resetting weight limit to 28 after 670 givens.
% 9.15/9.37
% 9.88/10.11
% 9.88/10.11
% 9.88/10.11 Changing weight limit from 28 to 27.
% 9.88/10.11
% 9.88/10.11 Resetting weight limit to 27 after 685 givens.
% 9.88/10.11
% 11.06/11.27
% 11.06/11.27 -- HEY sandbox, WE HAVE A PROOF!! --
% 11.06/11.27
% 11.06/11.27 -----> EMPTY CLAUSE at 10.89 sec ----> 7089 [hyper,7088,14,19] {-} $F.
% 11.06/11.27
% 11.06/11.27 Length of proof is 33. Level of proof is 23.
% 11.06/11.27
% 11.06/11.27 ---------------- PROOF ----------------
% 11.06/11.27 % SZS status Theorem
% 11.06/11.27 % SZS output start Refutation
% 11.06/11.27
% 11.06/11.27 1 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater(cardinality_at_time(first_movers,$f1(A,B)),zero)|contracts_from(B,first_movers).
% 11.06/11.27 2 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)|contracts_from(B,first_movers).
% 11.06/11.27 3 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,$f1(A,B)))|contracts_from(B,first_movers).
% 11.06/11.27 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).
% 11.06/11.27 5 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(C,B)|in_environment(A,C).
% 11.06/11.27 6 [] {+} -environment(A)| -stable(A)|in_environment(A,appear(efficient_producers,A)).
% 11.06/11.27 7 [] {+} -greater(A,B)| -greater(B,C)|greater(A,C).
% 11.06/11.27 8 [] {+} -greater_or_equal(A,B)|greater(A,B)|A=B.
% 11.06/11.27 9 [] {+} greater_or_equal(A,B)| -greater(A,B).
% 11.06/11.27 10 [] {+} greater_or_equal(A,B)|A!=B.
% 11.06/11.27 11 [] {+} -environment(A)| -in_environment(A,B)| -greater_or_equal(B,appear(efficient_producers,A))|greater(cardinality_at_time(efficient_producers,B),zero).
% 11.06/11.27 12 [] {+} -environment(A)| -stable(A)|greater($f2(A),appear(efficient_producers,A)).
% 11.06/11.27 13 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,$f2(A))|greater(zero,growth_rate(first_movers,B)).
% 11.06/11.27 14 [] {+} -greater(A,appear(efficient_producers,$c1))| -contracts_from(A,first_movers).
% 11.06/11.27 15 [] {-} environment($c1).
% 11.06/11.27 16 [] {-} stable($c1).
% 11.06/11.27 17 [] {-} A=A.
% 11.06/11.27 19 [hyper,16,12,15] {-} greater($f2($c1),appear(efficient_producers,$c1)).
% 11.06/11.27 20 [hyper,16,6,15] {-} in_environment($c1,appear(efficient_producers,$c1)).
% 11.06/11.27 22 [hyper,17,10] {-} greater_or_equal(A,A).
% 11.06/11.27 32 [hyper,19,9] {-} greater_or_equal($f2($c1),appear(efficient_producers,$c1)).
% 11.06/11.27 33 [hyper,19,5,15,16,20] {-} in_environment($c1,$f2($c1)).
% 11.06/11.27 39 [hyper,33,2,15,16] {-} greater_or_equal($f1($c1,$f2($c1)),$f2($c1))|contracts_from($f2($c1),first_movers).
% 11.06/11.27 40 [hyper,33,1,15,16] {-} greater(cardinality_at_time(first_movers,$f1($c1,$f2($c1))),zero)|contracts_from($f2($c1),first_movers).
% 11.06/11.27 44 [hyper,32,11,15,33] {-} greater(cardinality_at_time(efficient_producers,$f2($c1)),zero).
% 11.06/11.27 126 [hyper,39,8] {-} contracts_from($f2($c1),first_movers)|greater($f1($c1,$f2($c1)),$f2($c1))|$f1($c1,$f2($c1))=$f2($c1).
% 11.06/11.27 1816 [hyper,126,5,15,16,33] {-} contracts_from($f2($c1),first_movers)|$f1($c1,$f2($c1))=$f2($c1)|in_environment($c1,$f1($c1,$f2($c1))).
% 11.06/11.27 1834 [para_from,126.3.1,40.1.1.2,factor_simp] {-} greater(cardinality_at_time(first_movers,$f2($c1)),zero)|contracts_from($f2($c1),first_movers)|greater($f1($c1,$f2($c1)),$f2($c1)).
% 11.06/11.27 1835 [para_from,126.3.1,3.4.2.2,unit_del,15,16,33,factor_simp] {-} -greater(zero,growth_rate(first_movers,$f2($c1)))|contracts_from($f2($c1),first_movers)|greater($f1($c1,$f2($c1)),$f2($c1)).
% 11.06/11.27 2133 [para_from,1816.2.1,3.4.2.2,unit_del,15,16,33,factor_simp] {-} -greater(zero,growth_rate(first_movers,$f2($c1)))|contracts_from($f2($c1),first_movers)|in_environment($c1,$f1($c1,$f2($c1))).
% 11.06/11.27 2197 [hyper,1834,4,15,33,44] {-} contracts_from($f2($c1),first_movers)|greater($f1($c1,$f2($c1)),$f2($c1))|subpopulations(first_movers,efficient_producers,$c1,$f2($c1)).
% 11.06/11.27 2418 [hyper,2197,7,19] {-} contracts_from($f2($c1),first_movers)|subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|greater($f1($c1,$f2($c1)),appear(efficient_producers,$c1)).
% 11.06/11.27 2419 [hyper,2197,5,15,16,33] {-} contracts_from($f2($c1),first_movers)|subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|in_environment($c1,$f1($c1,$f2($c1))).
% 11.06/11.27 3468 [hyper,2418,9] {-} contracts_from($f2($c1),first_movers)|subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|greater_or_equal($f1($c1,$f2($c1)),appear(efficient_producers,$c1)).
% 11.06/11.27 4210 [hyper,3468,11,15,2419,factor_simp,factor_simp] {-} contracts_from($f2($c1),first_movers)|subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|greater(cardinality_at_time(efficient_producers,$f1($c1,$f2($c1))),zero).
% 11.06/11.27 4897 [hyper,4210,4,15,2419,40,factor_simp,factor_simp,factor_simp] {-} contracts_from($f2($c1),first_movers)|subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f2($c1))).
% 11.06/11.27 5955 [hyper,4897,14,19] {-} subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f2($c1))).
% 11.06/11.27 5967 [hyper,5955,13,15,16,39] {-} subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|greater(zero,growth_rate(first_movers,$f1($c1,$f2($c1))))|contracts_from($f2($c1),first_movers).
% 11.06/11.27 6842 [hyper,5967,3,15,16,33,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f2($c1))|contracts_from($f2($c1),first_movers).
% 11.06/11.27 6843 [hyper,6842,14,19] {-} subpopulations(first_movers,efficient_producers,$c1,$f2($c1)).
% 11.06/11.27 6844 [hyper,6843,13,15,16,22] {-} greater(zero,growth_rate(first_movers,$f2($c1))).
% 11.06/11.27 6850 [hyper,6844,2133] {-} contracts_from($f2($c1),first_movers)|in_environment($c1,$f1($c1,$f2($c1))).
% 11.06/11.27 6851 [hyper,6844,1835] {-} contracts_from($f2($c1),first_movers)|greater($f1($c1,$f2($c1)),$f2($c1)).
% 11.06/11.27 6935 [hyper,6851,7,19] {-} contracts_from($f2($c1),first_movers)|greater($f1($c1,$f2($c1)),appear(efficient_producers,$c1)).
% 11.06/11.27 7006 [hyper,6935,9] {-} contracts_from($f2($c1),first_movers)|greater_or_equal($f1($c1,$f2($c1)),appear(efficient_producers,$c1)).
% 11.06/11.27 7022 [hyper,7006,11,15,6850,factor_simp] {-} contracts_from($f2($c1),first_movers)|greater(cardinality_at_time(efficient_producers,$f1($c1,$f2($c1))),zero).
% 11.06/11.27 7037 [hyper,7022,4,15,6850,40,factor_simp,factor_simp] {-} contracts_from($f2($c1),first_movers)|subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f2($c1))).
% 11.06/11.27 7058 [hyper,7037,14,19] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f2($c1))).
% 11.06/11.27 7059 [hyper,7058,13,15,16,39] {-} greater(zero,growth_rate(first_movers,$f1($c1,$f2($c1))))|contracts_from($f2($c1),first_movers).
% 11.06/11.27 7088 [hyper,7059,3,15,16,33,factor_simp] {-} contracts_from($f2($c1),first_movers).
% 11.06/11.27 7089 [hyper,7088,14,19] {-} $F.
% 11.06/11.27
% 11.06/11.27 % SZS output end Refutation
% 11.06/11.27 ------------ end of proof -------------
% 11.06/11.27
% 11.06/11.27
% 11.06/11.27 Search stopped by max_proofs option.
% 11.06/11.27
% 11.06/11.27
% 11.06/11.27 Search stopped by max_proofs option.
% 11.06/11.27
% 11.06/11.27 ============ end of search ============
% 11.06/11.27
% 11.06/11.27 That finishes the proof of the theorem.
% 11.06/11.27
% 11.06/11.27 Process 15885 finished Thu Jun 9 11:51:06 2022
%------------------------------------------------------------------------------