%------------------------------------------------------------------------------
% File : SOS---2.0
% Problem : MGT030+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n032.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 : Theorem 0.13s 0.54s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : MGT030+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.10 % Command : sos-script %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 9 08:23:37 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.30 ----- Otter 3.2, August 2001 -----
% 0.09/0.30 The process was started by sandbox on n032.cluster.edu,
% 0.09/0.30 Thu Jun 9 08:23:37 2022
% 0.09/0.30 The command was "./sos". The process ID is 26788.
% 0.09/0.30
% 0.09/0.30 set(prolog_style_variables).
% 0.09/0.30 set(auto).
% 0.09/0.30 dependent: set(auto1).
% 0.09/0.30 dependent: set(process_input).
% 0.09/0.30 dependent: clear(print_kept).
% 0.09/0.30 dependent: clear(print_new_demod).
% 0.09/0.30 dependent: clear(print_back_demod).
% 0.09/0.30 dependent: clear(print_back_sub).
% 0.09/0.30 dependent: set(control_memory).
% 0.09/0.30 dependent: assign(max_mem, 12000).
% 0.09/0.30 dependent: assign(pick_given_ratio, 4).
% 0.09/0.30 dependent: assign(stats_level, 1).
% 0.09/0.30 dependent: assign(pick_semantic_ratio, 3).
% 0.09/0.30 dependent: assign(sos_limit, 5000).
% 0.09/0.30 dependent: assign(max_weight, 60).
% 0.09/0.30 clear(print_given).
% 0.09/0.30
% 0.09/0.30 formula_list(usable).
% 0.09/0.30
% 0.09/0.30 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=6.
% 0.09/0.30
% 0.09/0.30 This is a non-Horn set without equality. The strategy
% 0.09/0.30 will be ordered hyper_res, ur_res, unit deletion, and
% 0.09/0.30 factoring, with satellites in sos and nuclei in usable.
% 0.09/0.30
% 0.09/0.30 dependent: set(hyper_res).
% 0.09/0.30 dependent: set(factor).
% 0.09/0.30 dependent: set(unit_deletion).
% 0.09/0.30
% 0.09/0.30 ------------> process usable:
% 0.09/0.30
% 0.09/0.30 ------------> process sos:
% 0.09/0.30
% 0.09/0.30 ======= end of input processing =======
% 0.13/0.33
% 0.13/0.33 Model 1 (0.00 seconds, 0 Inserts)
% 0.13/0.33
% 0.13/0.33 Stopped by limit on number of solutions
% 0.13/0.33
% 0.13/0.33
% 0.13/0.33 -------------- Softie stats --------------
% 0.13/0.33
% 0.13/0.33 UPDATE_STOP: 300
% 0.13/0.33 SFINDER_TIME_LIMIT: 2
% 0.13/0.33 SHORT_CLAUSE_CUTOFF: 4
% 0.13/0.33 number of clauses in intial UL: 14
% 0.13/0.33 number of clauses initially in problem: 16
% 0.13/0.33 percentage of clauses intially in UL: 87
% 0.13/0.33 percentage of distinct symbols occuring in initial UL: 100
% 0.13/0.33 percent of all initial clauses that are short: 93
% 0.13/0.33 absolute distinct symbol count: 14
% 0.13/0.33 distinct predicate count: 6
% 0.13/0.33 distinct function count: 5
% 0.13/0.33 distinct constant count: 3
% 0.13/0.33
% 0.13/0.33 ---------- no more Softie stats ----------
% 0.13/0.33
% 0.13/0.33
% 0.13/0.33
% 0.13/0.33 Model 2 (0.00 seconds, 0 Inserts)
% 0.13/0.33
% 0.13/0.33 Stopped by limit on number of solutions
% 0.13/0.33
% 0.13/0.33 =========== start of search ===========
% 0.13/0.54
% 0.13/0.54 -------- PROOF --------
% 0.13/0.54 % SZS status Theorem
% 0.13/0.54 % SZS output start Refutation
% 0.13/0.54
% 0.13/0.54 Stopped by limit on insertions
% 0.13/0.54
% 0.13/0.54 Model 3 [ 1 0 157 ] (0.00 seconds, 250000 Inserts)
% 0.13/0.54
% 0.13/0.54 Stopped by limit on insertions
% 0.13/0.54
% 0.13/0.54 Model 4 [ 1 0 155 ] (0.00 seconds, 250000 Inserts)
% 0.13/0.54
% 0.13/0.54 -----> EMPTY CLAUSE at 0.22 sec ----> 76 [hyper,73,8,15,17,72] {-} $F.
% 0.13/0.54
% 0.13/0.54 Length of proof is 33. Level of proof is 19.
% 0.13/0.54
% 0.13/0.54 ---------------- PROOF ----------------
% 0.13/0.54 % SZS status Theorem
% 0.13/0.54 % SZS output start Refutation
% 0.13/0.54
% 0.13/0.54 1 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))|in_environment(A,$f2(A)).
% 0.13/0.54 2 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))| -greater(growth_rate(efficient_producers,$f2(A)),growth_rate(first_movers,$f2(A))).
% 0.13/0.54 3 [] {+} -environment(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,$f2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 0.13/0.54 4 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)|in_environment(A,$f2(A)).
% 0.13/0.54 5 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)| -greater(growth_rate(efficient_producers,$f2(A)),growth_rate(first_movers,$f2(A))).
% 0.13/0.54 6 [] {+} -environment(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,$f2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 0.13/0.54 7 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,$f1(A,B)),growth_rate(first_movers,$f1(A,B)))|in_environment(A,$f2(A)).
% 0.13/0.54 8 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,$f1(A,B)),growth_rate(first_movers,$f1(A,B)))| -greater(growth_rate(efficient_producers,$f2(A)),growth_rate(first_movers,$f2(A))).
% 0.13/0.54 9 [] {+} -environment(A)| -in_environment(A,B)| -greater(growth_rate(efficient_producers,$f1(A,B)),growth_rate(first_movers,$f1(A,B)))| -subpopulations(first_movers,efficient_producers,A,C)| -greater(C,$f2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)).
% 0.13/0.54 10 [] {+} -environment(A)| -stable(A)|in_environment(A,$f3(A)).
% 0.13/0.54 11 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,$f3(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)).
% 0.13/0.54 12 [] {+} -in_environment($c1,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|subpopulations(first_movers,efficient_producers,$c1,$f4(A)).
% 0.13/0.54 13 [] {+} -in_environment($c1,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|greater($f4(A),A).
% 0.13/0.54 14 [] {+} -in_environment($c1,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))| -greater(growth_rate(efficient_producers,$f4(A)),growth_rate(first_movers,$f4(A))).
% 0.13/0.54 15 [] {+} environment($c1).
% 0.13/0.54 16 [] {+} stable($c1).
% 0.13/0.54 17 [hyper,16,10,15] {+} in_environment($c1,$f3($c1)).
% 0.13/0.54 20 [hyper,17,4,15] {+} greater_or_equal($f1($c1,$f3($c1)),$f3($c1))|in_environment($c1,$f2($c1)).
% 0.13/0.54 21 [hyper,17,1,15] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|in_environment($c1,$f2($c1)).
% 0.13/0.54 22 [hyper,20,13] {+} greater_or_equal($f1($c1,$f3($c1)),$f3($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f4($f2($c1)),$f2($c1)).
% 0.13/0.54 23 [hyper,20,12] {+} greater_or_equal($f1($c1,$f3($c1)),$f3($c1))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1))).
% 0.13/0.54 24 [hyper,21,13] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f4($f2($c1)),$f2($c1)).
% 0.13/0.54 25 [hyper,21,12] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1))).
% 0.13/0.54 29 [hyper,24,2,15,17,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater($f4($f2($c1)),$f2($c1)).
% 0.13/0.54 33 [hyper,25,2,15,17,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1))).
% 0.13/0.54 34 [hyper,33,11,15,16,23,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1)))|greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1))))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 0.13/0.54 38 [hyper,33,3,15,17,29,factor_simp,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater(growth_rate(efficient_producers,$f4($f2($c1))),growth_rate(first_movers,$f4($f2($c1)))).
% 0.13/0.54 39 [hyper,38,14,21,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 0.13/0.54 43 [hyper,39,2,15,17,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1))).
% 0.13/0.54 44 [hyper,34,7,15,17] {+} subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|in_environment($c1,$f2($c1)).
% 0.13/0.54 47 [hyper,43,11,15,16,22] {+} greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1))))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f4($f2($c1)),$f2($c1)).
% 0.13/0.54 49 [hyper,44,12,factor_simp,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1)))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 0.13/0.54 51 [hyper,49,5,15,17] {+} subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1)))|greater_or_equal($f1($c1,$f3($c1)),$f3($c1)).
% 0.13/0.54 52 [hyper,51,11,15,16,43] {+} subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1)))|greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1)))).
% 0.13/0.54 53 [hyper,47,7,15,17] {+} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f4($f2($c1)),$f2($c1))|in_environment($c1,$f2($c1)).
% 0.13/0.54 56 [hyper,53,13,factor_simp,factor_simp] {+} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater($f4($f2($c1)),$f2($c1)).
% 0.13/0.54 58 [hyper,56,5,15,17] {+} greater($f4($f2($c1)),$f2($c1))|greater_or_equal($f1($c1,$f3($c1)),$f3($c1)).
% 0.13/0.54 59 [hyper,58,11,15,16,43] {+} greater($f4($f2($c1)),$f2($c1))|greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1)))).
% 0.13/0.54 60 [hyper,59,8,15,17,56,factor_simp] {+} greater($f4($f2($c1)),$f2($c1)).
% 0.13/0.54 61 [hyper,52,8,15,17,49,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1))).
% 0.13/0.54 63 [hyper,61,6,15,17,60] {+} greater_or_equal($f1($c1,$f3($c1)),$f3($c1))|greater(growth_rate(efficient_producers,$f4($f2($c1))),growth_rate(first_movers,$f4($f2($c1)))).
% 0.13/0.54 64 [hyper,63,11,15,16,43] {+} greater(growth_rate(efficient_producers,$f4($f2($c1))),growth_rate(first_movers,$f4($f2($c1))))|greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1)))).
% 0.13/0.54 65 [hyper,64,14,20] {+} greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1))))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|greater_or_equal($f1($c1,$f3($c1)),$f3($c1)).
% 0.13/0.54 66 [hyper,64,9,15,17,61,60,factor_simp] {+} greater(growth_rate(efficient_producers,$f4($f2($c1))),growth_rate(first_movers,$f4($f2($c1)))).
% 0.13/0.54 67 [hyper,65,11,15,16,43,factor_simp] {+} greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1))))|greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 0.13/0.54 69 [hyper,67,7,15,17] {+} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1)))|in_environment($c1,$f2($c1)).
% 0.13/0.54 71 [hyper,67,5,15,17] {+} greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1))))|greater_or_equal($f1($c1,$f3($c1)),$f3($c1)).
% 0.13/0.54 72 [hyper,69,14,66,factor_simp] {+} greater(growth_rate(efficient_producers,$f2($c1)),growth_rate(first_movers,$f2($c1))).
% 0.13/0.54 73 [hyper,71,11,15,16,43,factor_simp] {+} greater(growth_rate(efficient_producers,$f1($c1,$f3($c1))),growth_rate(first_movers,$f1($c1,$f3($c1)))).
% 0.13/0.54 76 [hyper,73,8,15,17,72] {-} $F.
% 0.13/0.54
% 0.13/0.54 % SZS output end Refutation
% 0.13/0.54 ------------ end of proof -------------
% 0.13/0.54
% 0.13/0.54
% 0.13/0.54 Search stopped by max_proofs option.
% 0.13/0.54
% 0.13/0.54
% 0.13/0.54 Search stopped by max_proofs option.
% 0.13/0.54
% 0.13/0.54 ============ end of search ============
% 0.13/0.54
% 0.13/0.54 ----------- soft-scott stats ----------
% 0.13/0.54
% 0.13/0.54 true clauses given 35 (89.7%)
% 0.13/0.54 false clauses given 4
% 0.13/0.54
% 0.13/0.54 FALSE TRUE
% 0.13/0.54 tot: 0 0 (-nan% true)
% 0.13/0.54
% 0.13/0.54
% 0.13/0.54 Model 4 [ 1 0 155 ] (0.00 seconds, 250000 Inserts)
% 0.13/0.54
% 0.13/0.54 That finishes the proof of the theorem.
% 0.13/0.54
% 0.13/0.54 Process 26788 finished Thu Jun 9 08:23:37 2022
%------------------------------------------------------------------------------