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 v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : sos-script %s
% Computer : n024.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 0.39s 0.57s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : sos-script %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 09:36:34 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 n024.cluster.edu,
% 0.13/0.35 Thu Jun 9 09:36:34 2022
% 0.13/0.35 The command was "./sos". The process ID is 7758.
% 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=0, symmetry=0, max_lits=7.
% 0.13/0.35
% 0.13/0.35 This is a non-Horn set without equality. The strategy
% 0.13/0.35 will be ordered hyper_res, ur_res, unit deletion, and
% 0.13/0.35 factoring, with satellites in sos and nuclei in usable.
% 0.13/0.35
% 0.13/0.35 dependent: set(hyper_res).
% 0.13/0.35 dependent: set(factor).
% 0.13/0.35 dependent: set(unit_deletion).
% 0.13/0.35
% 0.13/0.35 ------------> process usable:
% 0.13/0.35
% 0.13/0.35 ------------> process sos:
% 0.13/0.35
% 0.13/0.35 ======= 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 ===========
% 0.39/0.57
% 0.39/0.57 -------- PROOF --------
% 0.39/0.57 % SZS status Theorem
% 0.39/0.57 % SZS output start Refutation
% 0.39/0.57
% 0.39/0.57 Stopped by limit on insertions
% 0.39/0.57
% 0.39/0.57 -----> EMPTY CLAUSE at 0.19 sec ----> 37 [hyper,36,12,27] {-} $F.
% 0.39/0.57
% 0.39/0.57 Length of proof is 14. Level of proof is 11.
% 0.39/0.57
% 0.39/0.57 ---------------- PROOF ----------------
% 0.39/0.57 % SZS status Theorem
% 0.39/0.57 % SZS output start Refutation
% 0.39/0.57
% 0.39/0.57 1 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))|greater($f2(A),appear(efficient_producers,A)).
% 0.39/0.57 2 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,$f1(A,B))| -subpopulations(first_movers,efficient_producers,A,C)| -greater_or_equal(C,$f2(A))|greater(zero,growth_rate(first_movers,C)).
% 0.39/0.57 3 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)|greater($f2(A),appear(efficient_producers,A)).
% 0.39/0.57 4 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)|greater_or_equal($f1(A,B),B)| -subpopulations(first_movers,efficient_producers,A,C)| -greater_or_equal(C,$f2(A))|greater(zero,growth_rate(first_movers,C)).
% 0.39/0.57 5 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,$f1(A,B)))|greater($f2(A),appear(efficient_producers,A)).
% 0.39/0.57 6 [] {+} -environment(A)| -stable(A)| -in_environment(A,B)| -greater(zero,growth_rate(first_movers,$f1(A,B)))| -subpopulations(first_movers,efficient_producers,A,C)| -greater_or_equal(C,$f2(A))|greater(zero,growth_rate(first_movers,C)).
% 0.39/0.57 7 [] {+} -environment(A)| -stable(A)|in_environment(A,$f3(A)).
% 0.39/0.57 9 [] {+} -environment(A)| -stable(A)| -subpopulations(first_movers,efficient_producers,A,B)| -greater_or_equal(B,$f3(A))|greater(zero,growth_rate(first_movers,B)).
% 0.39/0.57 10 [] {+} -greater(A,appear(efficient_producers,$c1))|subpopulations(first_movers,efficient_producers,$c1,$f4(A)).
% 0.39/0.57 11 [] {+} -greater(A,appear(efficient_producers,$c1))|greater_or_equal($f4(A),A).
% 0.39/0.57 12 [] {+} -greater(A,appear(efficient_producers,$c1))| -greater(zero,growth_rate(first_movers,$f4(A))).
% 0.39/0.57 13 [] {+} environment($c1).
% 0.39/0.57 14 [] {-} stable($c1).
% 0.39/0.57 15 [hyper,14,7,13] {+} in_environment($c1,$f3($c1)).
% 0.39/0.57 16 [hyper,15,3,13,14] {+} greater_or_equal($f1($c1,$f3($c1)),$f3($c1))|greater($f2($c1),appear(efficient_producers,$c1)).
% 0.39/0.57 17 [hyper,15,1,13,14] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater($f2($c1),appear(efficient_producers,$c1)).
% 0.39/0.57 18 [hyper,17,11] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater_or_equal($f4($f2($c1)),$f2($c1)).
% 0.39/0.57 19 [hyper,17,10] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1))).
% 0.39/0.57 23 [hyper,19,2,13,14,15,18,factor_simp,factor_simp] {+} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1)))|greater(zero,growth_rate(first_movers,$f4($f2($c1)))).
% 0.39/0.57 24 [hyper,23,12,17,factor_simp] {-} subpopulations(first_movers,efficient_producers,$c1,$f1($c1,$f3($c1))).
% 0.39/0.57 25 [hyper,24,9,13,14,16] {+} greater(zero,growth_rate(first_movers,$f1($c1,$f3($c1))))|greater($f2($c1),appear(efficient_producers,$c1)).
% 0.39/0.57 27 [hyper,25,5,13,14,15,factor_simp] {-} greater($f2($c1),appear(efficient_producers,$c1)).
% 0.39/0.57 30 [hyper,27,11] {+} greater_or_equal($f4($f2($c1)),$f2($c1)).
% 0.39/0.57 31 [hyper,27,10] {-} subpopulations(first_movers,efficient_producers,$c1,$f4($f2($c1))).
% 0.39/0.57 32 [hyper,30,4,13,14,15,31] {+} greater_or_equal($f1($c1,$f3($c1)),$f3($c1))|greater(zero,growth_rate(first_movers,$f4($f2($c1)))).
% 0.39/0.57 33 [hyper,32,9,13,14,24] {+} greater(zero,growth_rate(first_movers,$f4($f2($c1))))|greater(zero,growth_rate(first_movers,$f1($c1,$f3($c1)))).
% 0.39/0.57 36 [hyper,33,6,13,14,15,31,30,factor_simp] {+} greater(zero,growth_rate(first_movers,$f4($f2($c1)))).
% 0.39/0.57 37 [hyper,36,12,27] {-} $F.
% 0.39/0.57
% 0.39/0.57 % SZS output end Refutation
% 0.39/0.57 ------------ end of proof -------------
% 0.39/0.57
% 0.39/0.57
% 0.39/0.57 Search stopped by max_proofs option.
% 0.39/0.57
% 0.39/0.57
% 0.39/0.57 Search stopped by max_proofs option.
% 0.39/0.57
% 0.39/0.57 ============ end of search ============
% 0.39/0.57
% 0.39/0.57 ----------- soft-scott stats ----------
% 0.39/0.57
% 0.39/0.57 true clauses given 11 (64.7%)
% 0.39/0.57 false clauses given 6
% 0.39/0.57
% 0.39/0.57 FALSE TRUE
% 0.39/0.57 tot: 0 0 (-nan% true)
% 0.39/0.57
% 0.39/0.57
% 0.39/0.57 Model 1 (0.00 seconds, 0 Inserts)
% 0.39/0.57
% 0.39/0.57 That finishes the proof of the theorem.
% 0.39/0.57
% 0.39/0.57 Process 7758 finished Thu Jun 9 09:36:34 2022
%------------------------------------------------------------------------------