0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox2/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_no_z3 0.11/0.33 % Computer : n026.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 : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 02:16:49 EDT 2022 0.11/0.33 % CPUTime : 3.72/1.79 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.72/1.79 3.72/1.79 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 3.72/1.79 3.72/1.79 ------ iProver source info 3.72/1.79 3.72/1.79 git: date: 2022-07-26 19:47:37 +0300 3.72/1.79 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 3.72/1.79 git: non_committed_changes: false 3.72/1.79 git: last_make_outside_of_git: false 3.72/1.79 3.72/1.79 ------ Parsing... 3.72/1.79 ------ Clausification by vclausify_rel & Parsing by iProver... 3.72/1.79 3.72/1.79 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e 3.72/1.79 3.72/1.79 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 3.72/1.79 3.72/1.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 3.72/1.79 ------ Proving... 3.72/1.79 ------ Problem Properties 3.72/1.79 3.72/1.79 3.72/1.79 clauses 28 3.72/1.79 conjectures 3 3.72/1.79 EPR 6 3.72/1.79 Horn 25 3.72/1.79 unary 8 3.72/1.79 binary 11 3.72/1.79 lits 65 3.72/1.79 lits eq 1 3.72/1.79 fd_pure 0 3.72/1.79 fd_pseudo 0 3.72/1.79 fd_cond 0 3.72/1.79 fd_pseudo_cond 1 3.72/1.79 AC symbols 0 3.72/1.79 3.72/1.79 ------ Schedule dynamic 5 is on 3.72/1.79 3.72/1.79 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 3.72/1.79 3.72/1.79 3.72/1.79 ------ 3.72/1.79 Current options: 3.72/1.79 ------ 3.72/1.79 3.72/1.79 3.72/1.79 3.72/1.79 3.72/1.79 ------ Proving... 3.72/1.79 3.72/1.79 3.72/1.79 % SZS status Theorem for theBenchmark.p 3.72/1.79 3.72/1.79 % SZS output start CNFRefutation for theBenchmark.p 3.72/1.79 3.72/1.79 fof(f12,conjecture,( 3.72/1.79 ! [X0,X1] : ((environment(X0) & in_environment(X0,critical_point(X0)) & greater_or_equal(X1,appear(efficient_producers,X0)) & greater(critical_point(X0),X1)) => selection_favors(first_movers,efficient_producers,X1))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3)). 3.72/1.79 3.72/1.79 fof(f13,negated_conjecture,( 3.72/1.79 ~! [X0,X1] : ((environment(X0) & in_environment(X0,critical_point(X0)) & greater_or_equal(X1,appear(efficient_producers,X0)) & greater(critical_point(X0),X1)) => selection_favors(first_movers,efficient_producers,X1))), 3.72/1.79 inference(negated_conjecture,[],[f12])). 3.72/1.79 3.72/1.79 fof(f49,plain,( 3.72/1.79 ? [X0,X1] : (~selection_favors(first_movers,efficient_producers,X1) & (environment(X0) & in_environment(X0,critical_point(X0)) & greater_or_equal(X1,appear(efficient_producers,X0)) & greater(critical_point(X0),X1)))), 3.72/1.79 inference(ennf_transformation,[],[f13])). 3.72/1.79 3.72/1.79 fof(f50,plain,( 3.72/1.79 ? [X0,X1] : (~selection_favors(first_movers,efficient_producers,X1) & environment(X0) & in_environment(X0,critical_point(X0)) & greater_or_equal(X1,appear(efficient_producers,X0)) & greater(critical_point(X0),X1))), 3.72/1.79 inference(flattening,[],[f49])). 3.72/1.79 3.72/1.79 fof(f66,plain,( 3.72/1.79 ? [X0,X1] : (~selection_favors(first_movers,efficient_producers,X1) & environment(X0) & in_environment(X0,critical_point(X0)) & greater_or_equal(X1,appear(efficient_producers,X0)) & greater(critical_point(X0),X1)) => (~selection_favors(first_movers,efficient_producers,sK1) & environment(sK0) & in_environment(sK0,critical_point(sK0)) & greater_or_equal(sK1,appear(efficient_producers,sK0)) & greater(critical_point(sK0),sK1))), 3.72/1.79 introduced(choice_axiom,[])). 3.72/1.79 3.72/1.79 fof(f67,plain,( 3.72/1.79 ~selection_favors(first_movers,efficient_producers,sK1) & environment(sK0) & in_environment(sK0,critical_point(sK0)) & greater_or_equal(sK1,appear(efficient_producers,sK0)) & greater(critical_point(sK0),sK1)), 3.72/1.79 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f50,f66])). 3.72/1.79 3.72/1.79 fof(f85,plain,( 3.72/1.79 greater_or_equal(sK1,appear(efficient_producers,sK0))), 3.72/1.79 inference(cnf_transformation,[],[f67])). 3.72/1.79 3.72/1.79 fof(f1,axiom,( 3.72/1.79 ! [X0] : ((environment(X0) & in_environment(X0,critical_point(X0))) => subpopulations(first_movers,efficient_producers,X0,critical_point(X0)))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP)). 3.72/1.79 3.72/1.79 fof(f31,plain,( 3.72/1.79 ! [X0] : (subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) | (~environment(X0) | ~in_environment(X0,critical_point(X0))))), 3.72/1.79 inference(ennf_transformation,[],[f1])). 3.72/1.79 3.72/1.79 fof(f32,plain,( 3.72/1.79 ! [X0] : (subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) | ~environment(X0) | ~in_environment(X0,critical_point(X0)))), 3.72/1.79 inference(flattening,[],[f31])). 3.72/1.79 3.72/1.79 fof(f71,plain,( 3.72/1.79 ( ! [X0] : (subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) | ~environment(X0) | ~in_environment(X0,critical_point(X0))) )), 3.72/1.79 inference(cnf_transformation,[],[f32])). 3.72/1.79 3.72/1.79 fof(f87,plain,( 3.72/1.79 environment(sK0)), 3.72/1.79 inference(cnf_transformation,[],[f67])). 3.72/1.79 3.72/1.79 fof(f86,plain,( 3.72/1.79 in_environment(sK0,critical_point(sK0))), 3.72/1.79 inference(cnf_transformation,[],[f67])). 3.72/1.79 3.72/1.79 fof(f5,axiom,( 3.72/1.79 ! [X0,X1] : ((subpopulations(first_movers,efficient_producers,X0,X1) & environment(X0)) => greater_or_equal(X1,appear(efficient_producers,X0)))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared)). 3.72/1.79 3.72/1.79 fof(f38,plain,( 3.72/1.79 ! [X0,X1] : (greater_or_equal(X1,appear(efficient_producers,X0)) | (~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)))), 3.72/1.79 inference(ennf_transformation,[],[f5])). 3.72/1.79 3.72/1.79 fof(f39,plain,( 3.72/1.79 ! [X0,X1] : (greater_or_equal(X1,appear(efficient_producers,X0)) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0))), 3.72/1.79 inference(flattening,[],[f38])). 3.72/1.79 3.72/1.79 fof(f75,plain,( 3.72/1.79 ( ! [X0,X1] : (greater_or_equal(X1,appear(efficient_producers,X0)) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)) )), 3.72/1.79 inference(cnf_transformation,[],[f39])). 3.72/1.79 3.72/1.79 fof(f14,axiom,( 3.72/1.79 ! [X8,X9] : ((X8 = X9 | greater(X8,X9)) <=> greater_or_equal(X8,X9))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal)). 3.72/1.79 3.72/1.79 fof(f28,plain,( 3.72/1.79 ! [X0,X1] : ((X0 = X1 | greater(X0,X1)) <=> greater_or_equal(X0,X1))), 3.72/1.79 inference(rectify,[],[f14])). 3.72/1.79 3.72/1.79 fof(f68,plain,( 3.72/1.79 ! [X0,X1] : (((X0 = X1 | greater(X0,X1)) | ~greater_or_equal(X0,X1)) & (greater_or_equal(X0,X1) | (X0 != X1 & ~greater(X0,X1))))), 3.72/1.79 inference(nnf_transformation,[],[f28])). 3.72/1.79 3.72/1.79 fof(f69,plain,( 3.72/1.79 ! [X0,X1] : ((X0 = X1 | greater(X0,X1) | ~greater_or_equal(X0,X1)) & (greater_or_equal(X0,X1) | (X0 != X1 & ~greater(X0,X1))))), 3.72/1.79 inference(flattening,[],[f68])). 3.72/1.79 3.72/1.79 fof(f91,plain,( 3.72/1.79 ( ! [X0,X1] : (X0 = X1 | greater(X0,X1) | ~greater_or_equal(X0,X1)) )), 3.72/1.79 inference(cnf_transformation,[],[f69])). 3.72/1.79 3.72/1.79 fof(f90,plain,( 3.72/1.79 ( ! [X0,X1] : (greater_or_equal(X0,X1) | X0 != X1) )), 3.72/1.79 inference(cnf_transformation,[],[f69])). 3.72/1.79 3.72/1.79 fof(f103,plain,( 3.72/1.79 ( ! [X1] : (greater_or_equal(X1,X1)) )), 3.72/1.79 inference(equality_resolution,[],[f90])). 3.72/1.79 3.72/1.79 fof(f10,axiom,( 3.72/1.79 ! [X0,X1] : ((environment(X0) & in_environment(X0,critical_point(X0)) & greater(critical_point(X0),X1) & greater_or_equal(X1,appear(efficient_producers,X0))) => in_environment(X0,X1))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points)). 3.72/1.79 3.72/1.79 fof(f45,plain,( 3.72/1.79 ! [X0,X1] : (in_environment(X0,X1) | (~environment(X0) | ~in_environment(X0,critical_point(X0)) | ~greater(critical_point(X0),X1) | ~greater_or_equal(X1,appear(efficient_producers,X0))))), 3.72/1.79 inference(ennf_transformation,[],[f10])). 3.72/1.79 3.72/1.79 fof(f46,plain,( 3.72/1.79 ! [X0,X1] : (in_environment(X0,X1) | ~environment(X0) | ~in_environment(X0,critical_point(X0)) | ~greater(critical_point(X0),X1) | ~greater_or_equal(X1,appear(efficient_producers,X0)))), 3.72/1.79 inference(flattening,[],[f45])). 3.72/1.79 3.72/1.79 fof(f81,plain,( 3.72/1.79 ( ! [X0,X1] : (in_environment(X0,X1) | ~environment(X0) | ~in_environment(X0,critical_point(X0)) | ~greater(critical_point(X0),X1) | ~greater_or_equal(X1,appear(efficient_producers,X0))) )), 3.72/1.79 inference(cnf_transformation,[],[f46])). 3.72/1.79 3.72/1.79 fof(f16,axiom,( 3.72/1.79 ! [X0] : ((environment(X0) & in_environment(X0,appear(efficient_producers,X0))) => subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears)). 3.72/1.79 3.72/1.79 fof(f51,plain,( 3.72/1.79 ! [X0] : (subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) | (~environment(X0) | ~in_environment(X0,appear(efficient_producers,X0))))), 3.72/1.79 inference(ennf_transformation,[],[f16])). 3.72/1.79 3.72/1.79 fof(f52,plain,( 3.72/1.79 ! [X0] : (subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) | ~environment(X0) | ~in_environment(X0,appear(efficient_producers,X0)))), 3.72/1.79 inference(flattening,[],[f51])). 3.72/1.79 3.72/1.79 fof(f94,plain,( 3.72/1.79 ( ! [X0] : (subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) | ~environment(X0) | ~in_environment(X0,appear(efficient_producers,X0))) )), 3.72/1.79 inference(cnf_transformation,[],[f52])). 3.72/1.79 3.72/1.79 fof(f9,axiom,( 3.72/1.79 ! [X0,X5,X6,X1] : ((greater_or_equal(X1,X5) & greater_or_equal(X6,X1) & subpopulations(first_movers,efficient_producers,X0,X6) & subpopulations(first_movers,efficient_producers,X0,X5) & environment(X0)) => subpopulations(first_movers,efficient_producers,X0,X1))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10)). 3.72/1.79 3.72/1.79 fof(f26,plain,( 3.72/1.79 ! [X0,X1,X2,X3] : ((greater_or_equal(X3,X1) & greater_or_equal(X2,X3) & subpopulations(first_movers,efficient_producers,X0,X2) & subpopulations(first_movers,efficient_producers,X0,X1) & environment(X0)) => subpopulations(first_movers,efficient_producers,X0,X3))), 3.72/1.79 inference(rectify,[],[f9])). 3.72/1.79 3.72/1.79 fof(f43,plain,( 3.72/1.79 ! [X0,X1,X2,X3] : (subpopulations(first_movers,efficient_producers,X0,X3) | (~greater_or_equal(X3,X1) | ~greater_or_equal(X2,X3) | ~subpopulations(first_movers,efficient_producers,X0,X2) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)))), 3.72/1.79 inference(ennf_transformation,[],[f26])). 3.72/1.79 3.72/1.79 fof(f44,plain,( 3.72/1.79 ! [X0,X1,X2,X3] : (subpopulations(first_movers,efficient_producers,X0,X3) | ~greater_or_equal(X3,X1) | ~greater_or_equal(X2,X3) | ~subpopulations(first_movers,efficient_producers,X0,X2) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0))), 3.72/1.79 inference(flattening,[],[f43])). 3.72/1.79 3.72/1.79 fof(f80,plain,( 3.72/1.79 ( ! [X2,X0,X3,X1] : (subpopulations(first_movers,efficient_producers,X0,X3) | ~greater_or_equal(X3,X1) | ~greater_or_equal(X2,X3) | ~subpopulations(first_movers,efficient_producers,X0,X2) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)) )), 3.72/1.79 inference(cnf_transformation,[],[f44])). 3.72/1.79 3.72/1.79 fof(f17,axiom,( 3.72/1.79 ! [X0,X1] : ((environment(X0) & subpopulations(first_movers,efficient_producers,X0,X1)) => decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12)). 3.72/1.79 3.72/1.79 fof(f53,plain,( 3.72/1.79 ! [X0,X1] : (decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) | (~environment(X0) | ~subpopulations(first_movers,efficient_producers,X0,X1)))), 3.72/1.79 inference(ennf_transformation,[],[f17])). 3.72/1.79 3.72/1.79 fof(f54,plain,( 3.72/1.79 ! [X0,X1] : (decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) | ~environment(X0) | ~subpopulations(first_movers,efficient_producers,X0,X1))), 3.72/1.79 inference(flattening,[],[f53])). 3.72/1.79 3.72/1.79 fof(f95,plain,( 3.72/1.79 ( ! [X0,X1] : (decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) | ~environment(X0) | ~subpopulations(first_movers,efficient_producers,X0,X1)) )), 3.72/1.79 inference(cnf_transformation,[],[f54])). 3.72/1.79 3.72/1.79 fof(f19,axiom,( 3.72/1.79 ! [X1] : ((~decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) & decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))) => decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates)). 3.72/1.79 3.72/1.79 fof(f30,plain,( 3.72/1.79 ! [X0] : ((~decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) & decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))) => decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))))), 3.72/1.79 inference(rectify,[],[f19])). 3.72/1.79 3.72/1.79 fof(f57,plain,( 3.72/1.79 ! [X0] : (decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) | (decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) | ~decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))))), 3.72/1.79 inference(ennf_transformation,[],[f30])). 3.72/1.79 3.72/1.79 fof(f58,plain,( 3.72/1.79 ! [X0] : (decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) | decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) | ~decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))))), 3.72/1.79 inference(flattening,[],[f57])). 3.72/1.79 3.72/1.79 fof(f97,plain,( 3.72/1.79 ( ! [X0] : (decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) | decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) | ~decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))) )), 3.72/1.79 inference(cnf_transformation,[],[f58])). 3.72/1.79 3.72/1.79 fof(f18,axiom,( 3.72/1.79 ! [X0,X1] : ((environment(X0) & subpopulations(first_movers,efficient_producers,X0,X1)) => ~decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3)). 3.72/1.79 3.72/1.79 fof(f55,plain,( 3.72/1.79 ! [X0,X1] : (~decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) | (~environment(X0) | ~subpopulations(first_movers,efficient_producers,X0,X1)))), 3.72/1.79 inference(ennf_transformation,[],[f18])). 3.72/1.79 3.72/1.79 fof(f56,plain,( 3.72/1.79 ! [X0,X1] : (~decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) | ~environment(X0) | ~subpopulations(first_movers,efficient_producers,X0,X1))), 3.72/1.79 inference(flattening,[],[f55])). 3.72/1.79 3.72/1.79 fof(f96,plain,( 3.72/1.79 ( ! [X0,X1] : (~decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) | ~environment(X0) | ~subpopulations(first_movers,efficient_producers,X0,X1)) )), 3.72/1.79 inference(cnf_transformation,[],[f56])). 3.72/1.79 3.72/1.79 fof(f84,plain,( 3.72/1.79 greater(critical_point(sK0),sK1)), 3.72/1.79 inference(cnf_transformation,[],[f67])). 3.72/1.79 3.72/1.79 fof(f20,axiom,( 3.72/1.79 ! [X0,X1] : ((~greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) & subpopulations(first_movers,efficient_producers,X0,X1) & environment(X0)) => greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates)). 3.72/1.79 3.72/1.79 fof(f59,plain,( 3.72/1.79 ! [X0,X1] : (greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) | (greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)))), 3.72/1.79 inference(ennf_transformation,[],[f20])). 3.72/1.79 3.72/1.79 fof(f60,plain,( 3.72/1.79 ! [X0,X1] : (greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0))), 3.72/1.79 inference(flattening,[],[f59])). 3.72/1.79 3.72/1.79 fof(f98,plain,( 3.72/1.79 ( ! [X0,X1] : (greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)) )), 3.72/1.79 inference(cnf_transformation,[],[f60])). 3.72/1.79 3.72/1.79 fof(f8,axiom,( 3.72/1.79 ! [X1] : (greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) <=> greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference)). 3.72/1.79 3.72/1.79 fof(f25,plain,( 3.72/1.79 ! [X0] : (greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) <=> greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))))), 3.72/1.79 inference(rectify,[],[f8])). 3.72/1.79 3.72/1.79 fof(f65,plain,( 3.72/1.79 ! [X0] : ((greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) | ~greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))) & (greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) | ~greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))))), 3.72/1.79 inference(nnf_transformation,[],[f25])). 3.72/1.79 3.72/1.79 fof(f79,plain,( 3.72/1.79 ( ! [X0] : (greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) | ~greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))) )), 3.72/1.79 inference(cnf_transformation,[],[f65])). 3.72/1.79 3.72/1.79 fof(f3,axiom,( 3.72/1.79 ! [X0,X1,X2] : ((environment(X0) & in_environment(X0,X2) & greater(X2,X1) & greater_or_equal(X1,appear(efficient_producers,X0)) & greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)) => (decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) => greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function)). 3.72/1.79 3.72/1.79 fof(f34,plain,( 3.72/1.79 ! [X0,X1,X2] : ((greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) | ~decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))) | (~environment(X0) | ~in_environment(X0,X2) | ~greater(X2,X1) | ~greater_or_equal(X1,appear(efficient_producers,X0)) | ~greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)))), 3.72/1.79 inference(ennf_transformation,[],[f3])). 3.72/1.79 3.72/1.79 fof(f35,plain,( 3.72/1.79 ! [X0,X1,X2] : (greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) | ~decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) | ~environment(X0) | ~in_environment(X0,X2) | ~greater(X2,X1) | ~greater_or_equal(X1,appear(efficient_producers,X0)) | ~greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero))), 3.72/1.79 inference(flattening,[],[f34])). 3.72/1.79 3.72/1.79 fof(f73,plain,( 3.72/1.79 ( ! [X2,X0,X1] : (greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) | ~decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) | ~environment(X0) | ~in_environment(X0,X2) | ~greater(X2,X1) | ~greater_or_equal(X1,appear(efficient_producers,X0)) | ~greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)) )), 3.72/1.79 inference(cnf_transformation,[],[f35])). 3.72/1.79 3.72/1.79 fof(f11,axiom,( 3.72/1.79 ! [X0,X7] : ((critical_point(X0) = X7 & environment(X0)) => (! [X1] : ((greater(X1,X7) & subpopulations(first_movers,efficient_producers,X0,X1)) => greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))) & ~greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1)). 3.72/1.79 3.72/1.79 fof(f27,plain,( 3.72/1.79 ! [X0,X1] : ((critical_point(X0) = X1 & environment(X0)) => (! [X2] : ((greater(X2,X1) & subpopulations(first_movers,efficient_producers,X0,X2)) => greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))) & ~greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))))), 3.72/1.79 inference(rectify,[],[f11])). 3.72/1.79 3.72/1.79 fof(f47,plain,( 3.72/1.79 ! [X0,X1] : ((! [X2] : (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | (~greater(X2,X1) | ~subpopulations(first_movers,efficient_producers,X0,X2))) & ~greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))) | (critical_point(X0) != X1 | ~environment(X0)))), 3.72/1.79 inference(ennf_transformation,[],[f27])). 3.72/1.79 3.72/1.79 fof(f48,plain,( 3.72/1.79 ! [X0,X1] : ((! [X2] : (greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) | ~greater(X2,X1) | ~subpopulations(first_movers,efficient_producers,X0,X2)) & ~greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))) | critical_point(X0) != X1 | ~environment(X0))), 3.72/1.79 inference(flattening,[],[f47])). 3.72/1.79 3.72/1.79 fof(f82,plain,( 3.72/1.79 ( ! [X0,X1] : (~greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) | critical_point(X0) != X1 | ~environment(X0)) )), 3.72/1.79 inference(cnf_transformation,[],[f48])). 3.72/1.79 3.72/1.79 fof(f102,plain,( 3.72/1.79 ( ! [X0] : (~greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) | ~environment(X0)) )), 3.72/1.79 inference(equality_resolution,[],[f82])). 3.72/1.79 3.72/1.79 fof(f15,axiom,( 3.72/1.79 ! [X1] : (greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) <=> greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference)). 3.72/1.79 3.72/1.79 fof(f29,plain,( 3.72/1.79 ! [X0] : (greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) <=> greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))), 3.72/1.79 inference(rectify,[],[f15])). 3.72/1.79 3.72/1.79 fof(f70,plain,( 3.72/1.79 ! [X0] : ((greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) | ~greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) & (greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) | ~greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)))), 3.72/1.79 inference(nnf_transformation,[],[f29])). 3.72/1.79 3.72/1.79 fof(f92,plain,( 3.72/1.79 ( ! [X0] : (greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) | ~greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)) )), 3.72/1.79 inference(cnf_transformation,[],[f70])). 3.72/1.79 3.72/1.79 fof(f4,axiom,( 3.72/1.79 ! [X0,X3,X4,X1] : ((greater(growth_rate(X4,X1),growth_rate(X3,X1)) & subpopulations(X3,X4,X0,X1) & environment(X0)) => selection_favors(X4,X3,X1))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates)). 3.72/1.79 3.72/1.79 fof(f23,plain,( 3.72/1.79 ! [X0,X1,X2,X3] : ((greater(growth_rate(X2,X3),growth_rate(X1,X3)) & subpopulations(X1,X2,X0,X3) & environment(X0)) => selection_favors(X2,X1,X3))), 3.72/1.79 inference(rectify,[],[f4])). 3.72/1.79 3.72/1.79 fof(f36,plain,( 3.72/1.79 ! [X0,X1,X2,X3] : (selection_favors(X2,X1,X3) | (~greater(growth_rate(X2,X3),growth_rate(X1,X3)) | ~subpopulations(X1,X2,X0,X3) | ~environment(X0)))), 3.72/1.79 inference(ennf_transformation,[],[f23])). 3.72/1.79 3.72/1.79 fof(f37,plain,( 3.72/1.79 ! [X0,X1,X2,X3] : (selection_favors(X2,X1,X3) | ~greater(growth_rate(X2,X3),growth_rate(X1,X3)) | ~subpopulations(X1,X2,X0,X3) | ~environment(X0))), 3.72/1.79 inference(flattening,[],[f36])). 3.72/1.79 3.72/1.79 fof(f74,plain,( 3.72/1.79 ( ! [X2,X0,X3,X1] : (selection_favors(X2,X1,X3) | ~greater(growth_rate(X2,X3),growth_rate(X1,X3)) | ~subpopulations(X1,X2,X0,X3) | ~environment(X0)) )), 3.72/1.79 inference(cnf_transformation,[],[f37])). 3.72/1.79 3.72/1.79 fof(f88,plain,( 3.72/1.79 ~selection_favors(first_movers,efficient_producers,sK1)), 3.72/1.79 inference(cnf_transformation,[],[f67])). 3.72/1.79 3.72/1.79 fof(f21,axiom,( 3.72/1.79 ! [X0,X1] : ((subpopulations(first_movers,efficient_producers,X0,X1) & environment(X0)) => subpopulations(efficient_producers,first_movers,X0,X1))), 3.72/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations)). 3.72/1.79 3.72/1.79 fof(f61,plain,( 3.72/1.79 ! [X0,X1] : (subpopulations(efficient_producers,first_movers,X0,X1) | (~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)))), 3.72/1.79 inference(ennf_transformation,[],[f21])). 3.72/1.79 3.72/1.79 fof(f62,plain,( 3.72/1.79 ! [X0,X1] : (subpopulations(efficient_producers,first_movers,X0,X1) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0))), 3.72/1.79 inference(flattening,[],[f61])). 3.72/1.79 3.72/1.79 fof(f99,plain,( 3.72/1.79 ( ! [X0,X1] : (subpopulations(efficient_producers,first_movers,X0,X1) | ~subpopulations(first_movers,efficient_producers,X0,X1) | ~environment(X0)) )), 3.72/1.79 inference(cnf_transformation,[],[f62])). 3.72/1.79 3.72/1.79 fof(f89,plain,( 3.72/1.79 ( ! [X0,X1] : (greater_or_equal(X0,X1) | ~greater(X0,X1)) )), 3.72/1.79 inference(cnf_transformation,[],[f69])). 3.72/1.79 3.72/1.79 cnf(c_65,negated_conjecture, 3.72/1.79 ( greater_or_equal(sK1,appear(efficient_producers,sK0)) ), 3.72/1.79 inference(cnf_transformation,[],[f85]) ). 3.72/1.79 3.72/1.79 cnf(c_49,plain, 3.72/1.79 ( ~ in_environment(X0,critical_point(X0)) 3.72/1.79 | ~ environment(X0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ), 3.72/1.79 inference(cnf_transformation,[],[f71]) ). 3.72/1.79 3.72/1.79 cnf(c_63,negated_conjecture, 3.72/1.79 ( environment(sK0) ), 3.72/1.79 inference(cnf_transformation,[],[f87]) ). 3.72/1.79 3.72/1.79 cnf(c_678,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ in_environment(X0,critical_point(X0)) 3.72/1.79 | subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_49,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_679,plain, 3.72/1.79 ( ~ in_environment(sK0,critical_point(sK0)) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_678]) ). 3.72/1.79 3.72/1.79 cnf(c_64,negated_conjecture, 3.72/1.79 ( in_environment(sK0,critical_point(sK0)) ), 3.72/1.79 inference(cnf_transformation,[],[f86]) ). 3.72/1.79 3.72/1.79 cnf(c_680,plain, 3.72/1.79 ( subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)) ), 3.72/1.79 inference(global_propositional_subsumption,[status(thm)],[c_679,c_64]) ). 3.72/1.79 3.72/1.79 cnf(c_53,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | ~ environment(X0) 3.72/1.79 | greater_or_equal(X1,appear(efficient_producers,X0)) ), 3.72/1.79 inference(cnf_transformation,[],[f75]) ). 3.72/1.79 3.72/1.79 cnf(c_664,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | greater_or_equal(X1,appear(efficient_producers,X0)) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_53,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_665,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | greater_or_equal(X0,appear(efficient_producers,sK0)) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_664]) ). 3.72/1.79 3.72/1.79 cnf(c_816,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | greater_or_equal(X0,appear(efficient_producers,sK0)) ), 3.72/1.79 inference(prop_impl,[status(thm)],[c_665]) ). 3.72/1.79 3.72/1.79 cnf(c_1917,plain, 3.72/1.79 ( greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_680,c_816]) ). 3.72/1.79 3.72/1.79 cnf(c_67,plain, 3.72/1.79 ( ~ greater_or_equal(X0,X1) | X0 = X1 | greater(X0,X1) ), 3.72/1.79 inference(cnf_transformation,[],[f91]) ). 3.72/1.79 3.72/1.79 cnf(c_1918,plain, 3.72/1.79 ( appear(efficient_producers,sK0) = critical_point(sK0) 3.72/1.79 | greater(critical_point(sK0),appear(efficient_producers,sK0)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_1917,c_67]) ). 3.72/1.79 3.72/1.79 cnf(c_68,plain, 3.72/1.79 ( greater_or_equal(X0,X0) ), 3.72/1.79 inference(cnf_transformation,[],[f103]) ). 3.72/1.79 3.72/1.79 cnf(c_59,plain, 3.72/1.79 ( ~ greater_or_equal(X0,appear(efficient_producers,X1)) 3.72/1.79 | ~ in_environment(X1,critical_point(X1)) 3.72/1.79 | ~ greater(critical_point(X1),X0) 3.72/1.79 | ~ environment(X1) 3.72/1.79 | in_environment(X1,X0) ), 3.72/1.79 inference(cnf_transformation,[],[f81]) ). 3.72/1.79 3.72/1.79 cnf(c_730,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ greater_or_equal(X1,appear(efficient_producers,X0)) 3.72/1.79 | ~ in_environment(X0,critical_point(X0)) 3.72/1.79 | ~ greater(critical_point(X0),X1) 3.72/1.79 | in_environment(X0,X1) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_59,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_731,plain, 3.72/1.79 ( ~ greater_or_equal(X0,appear(efficient_producers,sK0)) 3.72/1.79 | ~ greater(critical_point(sK0),X0) 3.72/1.79 | ~ in_environment(sK0,critical_point(sK0)) 3.72/1.79 | in_environment(sK0,X0) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_730]) ). 3.72/1.79 3.72/1.79 cnf(c_733,plain, 3.72/1.79 ( ~ greater(critical_point(sK0),X0) 3.72/1.79 | ~ greater_or_equal(X0,appear(efficient_producers,sK0)) 3.72/1.79 | in_environment(sK0,X0) ), 3.72/1.79 inference(global_propositional_subsumption,[status(thm)],[c_731,c_64]) ). 3.72/1.79 3.72/1.79 cnf(c_734,plain, 3.72/1.79 ( ~ greater_or_equal(X0,appear(efficient_producers,sK0)) 3.72/1.79 | ~ greater(critical_point(sK0),X0) 3.72/1.79 | in_environment(sK0,X0) ), 3.72/1.79 inference(renaming,[status(thm)],[c_733]) ). 3.72/1.79 3.72/1.79 cnf(c_1886,plain, 3.72/1.79 ( ~ greater(critical_point(sK0),appear(efficient_producers,sK0)) 3.72/1.79 | in_environment(sK0,appear(efficient_producers,sK0)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_68,c_734]) ). 3.72/1.79 3.72/1.79 cnf(c_2072,plain, 3.72/1.79 ( appear(efficient_producers,sK0) = critical_point(sK0) 3.72/1.79 | in_environment(sK0,appear(efficient_producers,sK0)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_1918,c_1886]) ). 3.72/1.79 3.72/1.79 cnf(c_72,plain, 3.72/1.79 ( ~ in_environment(X0,appear(efficient_producers,X0)) 3.72/1.79 | ~ environment(X0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ), 3.72/1.79 inference(cnf_transformation,[],[f94]) ). 3.72/1.79 3.72/1.79 cnf(c_600,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ in_environment(X0,appear(efficient_producers,X0)) 3.72/1.79 | subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_72,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_601,plain, 3.72/1.79 ( ~ in_environment(sK0,appear(efficient_producers,sK0)) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0)) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_600]) ). 3.72/1.79 3.72/1.79 cnf(c_820,plain, 3.72/1.79 ( ~ in_environment(sK0,appear(efficient_producers,sK0)) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0)) ), 3.72/1.79 inference(prop_impl,[status(thm)],[c_601]) ). 3.72/1.79 3.72/1.79 cnf(c_58,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X2) 3.72/1.79 | ~ greater_or_equal(X2,X3) 3.72/1.79 | ~ greater_or_equal(X3,X1) 3.72/1.79 | ~ environment(X0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,X0,X3) ), 3.72/1.79 inference(cnf_transformation,[],[f80]) ). 3.72/1.79 3.72/1.79 cnf(c_625,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X2) 3.72/1.79 | ~ greater_or_equal(X2,X3) 3.72/1.79 | ~ greater_or_equal(X3,X1) 3.72/1.79 | subpopulations(first_movers,efficient_producers,X0,X3) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_58,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_626,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,sK0,X1) 3.72/1.79 | ~ greater_or_equal(X1,X2) 3.72/1.79 | ~ greater_or_equal(X2,X0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,X2) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_625]) ). 3.72/1.79 3.72/1.79 cnf(c_2006,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | ~ greater_or_equal(critical_point(sK0),X1) 3.72/1.79 | ~ greater_or_equal(X1,X0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,X1) ), 3.72/1.79 inference(superposition,[status(thm)],[c_680,c_626]) ). 3.72/1.79 3.72/1.79 cnf(c_2106,plain, 3.72/1.79 ( ~ greater_or_equal(X0,appear(efficient_producers,sK0)) 3.72/1.79 | ~ in_environment(sK0,appear(efficient_producers,sK0)) 3.72/1.79 | ~ greater_or_equal(critical_point(sK0),X0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,X0) ), 3.72/1.79 inference(superposition,[status(thm)],[c_820,c_2006]) ). 3.72/1.79 3.72/1.79 cnf(c_2699,plain, 3.72/1.79 ( ~ greater_or_equal(X0,appear(efficient_producers,sK0)) 3.72/1.79 | ~ greater_or_equal(critical_point(sK0),X0) 3.72/1.79 | appear(efficient_producers,sK0) = critical_point(sK0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,X0) ), 3.72/1.79 inference(superposition,[status(thm)],[c_2072,c_2106]) ). 3.72/1.79 3.72/1.79 cnf(c_3764,plain, 3.72/1.79 ( ~ greater_or_equal(critical_point(sK0),sK1) 3.72/1.79 | appear(efficient_producers,sK0) = critical_point(sK0) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,sK1) ), 3.72/1.79 inference(superposition,[status(thm)],[c_65,c_2699]) ). 3.72/1.79 3.72/1.79 cnf(c_73,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | ~ environment(X0) 3.72/1.79 | decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ), 3.72/1.79 inference(cnf_transformation,[],[f95]) ). 3.72/1.79 3.72/1.79 cnf(c_591,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_73,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_592,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_591]) ). 3.72/1.79 3.72/1.79 cnf(c_804,plain, 3.72/1.79 ( decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,sK0,X0) ), 3.72/1.79 inference(prop_impl,[status(thm)],[c_592]) ). 3.72/1.79 3.72/1.79 cnf(c_805,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ), 3.72/1.79 inference(renaming,[status(thm)],[c_804]) ). 3.72/1.79 3.72/1.79 cnf(c_75,plain, 3.72/1.79 ( ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) 3.72/1.79 | decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) 3.72/1.79 | decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ), 3.72/1.79 inference(cnf_transformation,[],[f97]) ). 3.72/1.79 3.72/1.79 cnf(c_2366,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) 3.72/1.79 | decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ), 3.72/1.79 inference(superposition,[status(thm)],[c_805,c_75]) ). 3.72/1.79 3.72/1.79 cnf(c_74,plain, 3.72/1.79 ( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X1,X0) 3.72/1.79 | ~ environment(X1) ), 3.72/1.79 inference(cnf_transformation,[],[f96]) ). 3.72/1.79 3.72/1.79 cnf(c_721,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X1) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_74,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_722,plain, 3.72/1.79 ( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,sK0,X0) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_721]) ). 3.72/1.79 3.72/1.79 cnf(c_2705,plain, 3.72/1.79 ( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,sK0,X0) ), 3.72/1.79 inference(global_propositional_subsumption,[status(thm)],[c_2366,c_722]) ). 3.72/1.79 3.72/1.79 cnf(c_2706,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ), 3.72/1.79 inference(renaming,[status(thm)],[c_2705]) ). 3.72/1.79 3.72/1.79 cnf(c_66,negated_conjecture, 3.72/1.79 ( greater(critical_point(sK0),sK1) ), 3.72/1.79 inference(cnf_transformation,[],[f84]) ). 3.72/1.79 3.72/1.79 cnf(c_76,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | ~ environment(X0) 3.72/1.79 | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) 3.72/1.79 | greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ), 3.72/1.79 inference(cnf_transformation,[],[f98]) ). 3.72/1.79 3.72/1.79 cnf(c_579,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) 3.72/1.79 | greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_76,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_580,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) 3.72/1.79 | greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_579]) ). 3.72/1.79 3.72/1.79 cnf(c_56,plain, 3.72/1.79 ( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) 3.72/1.79 | greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ), 3.72/1.79 inference(cnf_transformation,[],[f79]) ). 3.72/1.79 3.72/1.79 cnf(c_790,plain, 3.72/1.79 ( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) 3.72/1.79 | ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ), 3.72/1.79 inference(prop_impl,[status(thm)],[c_56]) ). 3.72/1.79 3.72/1.79 cnf(c_791,plain, 3.72/1.79 ( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) 3.72/1.79 | greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ), 3.72/1.79 inference(renaming,[status(thm)],[c_790]) ). 3.72/1.79 3.72/1.79 cnf(c_882,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) 3.72/1.79 | greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ), 3.72/1.79 inference(bin_hyper_res,[status(thm)],[c_580,c_791]) ). 3.72/1.79 3.72/1.79 cnf(c_51,plain, 3.72/1.79 ( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) 3.72/1.79 | ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) 3.72/1.79 | ~ greater_or_equal(X1,appear(efficient_producers,X2)) 3.72/1.79 | ~ in_environment(X2,X0) 3.72/1.79 | ~ greater(X0,X1) 3.72/1.79 | ~ environment(X2) 3.72/1.79 | greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ), 3.72/1.79 inference(cnf_transformation,[],[f73]) ). 3.72/1.79 3.72/1.79 cnf(c_685,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) 3.72/1.79 | ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) 3.72/1.79 | ~ greater_or_equal(X2,appear(efficient_producers,X0)) 3.72/1.79 | ~ in_environment(X0,X1) 3.72/1.79 | ~ greater(X1,X2) 3.72/1.79 | greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_51,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_686,plain, 3.72/1.79 ( ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) 3.72/1.79 | ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) 3.72/1.79 | ~ greater_or_equal(X1,appear(efficient_producers,sK0)) 3.72/1.79 | ~ greater(X0,X1) 3.72/1.79 | ~ in_environment(sK0,X0) 3.72/1.79 | greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_685]) ). 3.72/1.79 3.72/1.79 cnf(c_2023,plain, 3.72/1.79 ( ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,sK0,X1) 3.72/1.79 | ~ greater_or_equal(X0,appear(efficient_producers,sK0)) 3.72/1.79 | ~ greater(X1,X0) 3.72/1.79 | ~ in_environment(sK0,X1) 3.72/1.79 | greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) 3.72/1.79 | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_882,c_686]) ). 3.72/1.79 3.72/1.79 cnf(c_2752,plain, 3.72/1.79 ( ~ decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))) 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)) 3.72/1.79 | ~ greater_or_equal(sK1,appear(efficient_producers,sK0)) 3.72/1.79 | ~ in_environment(sK0,critical_point(sK0)) 3.72/1.79 | greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero) 3.72/1.79 | greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0))) ), 3.72/1.79 inference(superposition,[status(thm)],[c_66,c_2023]) ). 3.72/1.79 3.72/1.79 cnf(c_61,plain, 3.72/1.79 ( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) 3.72/1.79 | ~ environment(X0) ), 3.72/1.79 inference(cnf_transformation,[],[f102]) ). 3.72/1.79 3.72/1.79 cnf(c_114,plain, 3.72/1.79 ( ~ environment(X0) 3.72/1.79 | ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) ), 3.72/1.79 inference(prop_impl,[status(thm)],[c_61]) ). 3.72/1.79 3.72/1.79 cnf(c_115,plain, 3.72/1.79 ( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) 3.72/1.79 | ~ environment(X0) ), 3.72/1.79 inference(renaming,[status(thm)],[c_114]) ). 3.72/1.79 3.72/1.79 cnf(c_608,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_115,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_609,plain, 3.72/1.79 ( ~ greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0))) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_608]) ). 3.72/1.79 3.72/1.79 cnf(c_2801,plain, 3.72/1.79 ( ~ decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))) 3.72/1.79 | greater(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)),zero) ), 3.72/1.79 inference(forward_subsumption_resolution, 3.72/1.79 [status(thm)], 3.72/1.79 [c_2752,c_609,c_64,c_65,c_680]) ). 3.72/1.79 3.72/1.79 cnf(c_71,plain, 3.72/1.79 ( ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) 3.72/1.79 | greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ), 3.72/1.79 inference(cnf_transformation,[],[f92]) ). 3.72/1.79 3.72/1.79 cnf(c_2842,plain, 3.72/1.79 ( ~ decreases(difference(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1))) 3.72/1.79 | greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_2801,c_71]) ). 3.72/1.79 3.72/1.79 cnf(c_2890,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,sK1) 3.72/1.79 | greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_2706,c_2842]) ). 3.72/1.79 3.72/1.79 cnf(c_52,plain, 3.72/1.79 ( ~ greater(growth_rate(X0,X1),growth_rate(X2,X1)) 3.72/1.79 | ~ subpopulations(X2,X0,X3,X1) 3.72/1.79 | ~ environment(X3) 3.72/1.79 | selection_favors(X0,X2,X1) ), 3.72/1.79 inference(cnf_transformation,[],[f74]) ). 3.72/1.79 3.72/1.79 cnf(c_62,negated_conjecture, 3.72/1.79 ( ~ selection_favors(first_movers,efficient_producers,sK1) ), 3.72/1.79 inference(cnf_transformation,[],[f88]) ). 3.72/1.79 3.72/1.79 cnf(c_547,plain, 3.72/1.79 ( X0 != first_movers 3.72/1.79 | X1 != sK1 3.72/1.79 | X2 != efficient_producers 3.72/1.79 | ~ greater(growth_rate(X0,X1),growth_rate(X2,X1)) 3.72/1.79 | ~ subpopulations(X2,X0,X3,X1) 3.72/1.79 | ~ environment(X3) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_52,c_62]) ). 3.72/1.79 3.72/1.79 cnf(c_548,plain, 3.72/1.79 ( ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) 3.72/1.79 | ~ subpopulations(efficient_producers,first_movers,X0,sK1) 3.72/1.79 | ~ environment(X0) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_547]) ). 3.72/1.79 3.72/1.79 cnf(c_562,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) 3.72/1.79 | ~ subpopulations(efficient_producers,first_movers,X0,sK1) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_548,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_563,plain, 3.72/1.79 ( ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) 3.72/1.79 | ~ subpopulations(efficient_producers,first_movers,sK0,sK1) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_562]) ). 3.72/1.79 3.72/1.79 cnf(c_806,plain, 3.72/1.79 ( ~ greater(growth_rate(first_movers,sK1),growth_rate(efficient_producers,sK1)) 3.72/1.79 | ~ subpopulations(efficient_producers,first_movers,sK0,sK1) ), 3.72/1.79 inference(prop_impl,[status(thm)],[c_563]) ). 3.72/1.79 3.72/1.79 cnf(c_3049,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,sK1) 3.72/1.79 | ~ subpopulations(efficient_producers,first_movers,sK0,sK1) ), 3.72/1.79 inference(superposition,[status(thm)],[c_2890,c_806]) ). 3.72/1.79 3.72/1.79 cnf(c_77,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | ~ environment(X0) 3.72/1.79 | subpopulations(efficient_producers,first_movers,X0,X1) ), 3.72/1.79 inference(cnf_transformation,[],[f99]) ). 3.72/1.79 3.72/1.79 cnf(c_570,plain, 3.72/1.79 ( X0 != sK0 3.72/1.79 | ~ subpopulations(first_movers,efficient_producers,X0,X1) 3.72/1.79 | subpopulations(efficient_producers,first_movers,X0,X1) ), 3.72/1.79 inference(resolution_lifted,[status(thm)],[c_77,c_63]) ). 3.72/1.79 3.72/1.79 cnf(c_571,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | subpopulations(efficient_producers,first_movers,sK0,X0) ), 3.72/1.79 inference(unflattening,[status(thm)],[c_570]) ). 3.72/1.79 3.72/1.79 cnf(c_814,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,X0) 3.72/1.79 | subpopulations(efficient_producers,first_movers,sK0,X0) ), 3.72/1.79 inference(prop_impl,[status(thm)],[c_571]) ). 3.72/1.79 3.72/1.79 cnf(c_3071,plain, 3.72/1.79 ( ~ subpopulations(first_movers,efficient_producers,sK0,sK1) ), 3.72/1.79 inference(forward_subsumption_resolution,[status(thm)],[c_3049,c_814]) ). 3.72/1.79 3.72/1.79 cnf(c_69,plain, 3.72/1.79 ( ~ greater(X0,X1) | greater_or_equal(X0,X1) ), 3.72/1.79 inference(cnf_transformation,[],[f89]) ). 3.72/1.79 3.72/1.79 cnf(c_1893,plain, 3.72/1.79 ( greater_or_equal(critical_point(sK0),sK1) ), 3.72/1.79 inference(superposition,[status(thm)],[c_66,c_69]) ). 3.72/1.79 3.72/1.79 cnf(c_3772,plain, 3.72/1.79 ( appear(efficient_producers,sK0) = critical_point(sK0) ), 3.72/1.79 inference(forward_subsumption_resolution, 3.72/1.79 [status(thm)], 3.72/1.79 [c_3764,c_3071,c_1893]) ). 3.72/1.79 3.72/1.79 cnf(c_3797,plain, 3.72/1.79 ( greater_or_equal(sK1,critical_point(sK0)) ), 3.72/1.79 inference(demodulation,[status(thm)],[c_65,c_3772]) ). 3.72/1.79 3.72/1.79 cnf(c_2107,plain, 3.72/1.79 ( ~ greater_or_equal(critical_point(sK0),X0) 3.72/1.79 | ~ greater_or_equal(X0,critical_point(sK0)) 3.72/1.79 | subpopulations(first_movers,efficient_producers,sK0,X0) ), 3.72/1.79 inference(superposition,[status(thm)],[c_680,c_2006]) ). 3.72/1.79 3.72/1.79 cnf(c_3073,plain, 3.72/1.79 ( ~ greater_or_equal(critical_point(sK0),sK1) 3.72/1.79 | ~ greater_or_equal(sK1,critical_point(sK0)) ), 3.72/1.79 inference(superposition,[status(thm)],[c_2107,c_3071]) ). 3.72/1.79 3.72/1.79 cnf(c_3074,plain, 3.72/1.79 ( ~ greater_or_equal(sK1,critical_point(sK0)) ), 3.72/1.79 inference(forward_subsumption_resolution,[status(thm)],[c_3073,c_1893]) ). 3.72/1.79 3.72/1.79 cnf(c_3798,plain, 3.72/1.79 ( $false ), 3.72/1.79 inference(forward_subsumption_resolution,[status(thm)],[c_3797,c_3074]) ). 3.72/1.79 3.72/1.79 3.72/1.79 % SZS output end CNFRefutation for theBenchmark.p 3.72/1.79 3.72/1.79 ------ Statistics 3.72/1.79 3.72/1.79 ------ Selected 3.72/1.79 3.72/1.79 total_time: 0.16 3.72/1.79 3.72/1.82 EOF