0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : gkc %s 0.13/0.33 % Computer : n005.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 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Thu Jul 2 06:38:06 EDT 2020 0.13/0.33 % CPUTime : 0.13/0.37 0.13/0.37 input clause set summed statistics: 0.13/0.37 ---------------------------------- 0.13/0.37 in_clause_count: 27 0.13/0.37 in_rule_clause_count: 25 0.13/0.37 in_fact_clause_count: 2 0.13/0.37 in_answer_clause_count: 0 0.13/0.37 in_ground_clause_count: 5 0.13/0.37 in_unit_clause_count: 5 0.13/0.37 in_horn_clause_count: 21 0.13/0.37 in_pos_clause_count: 4 0.13/0.37 in_neg_clause_count: 4 0.13/0.37 in_poseq_clause_count: 4 0.13/0.37 in_negeq_clause_count: 6 0.13/0.37 in_unitposeq_clause_count: 0 0.13/0.37 in_chain_clause_count: 0 0.13/0.37 in_min_length: 1 0.13/0.37 in_max_length: 5 0.13/0.37 in_min_depth: 1 0.13/0.37 in_max_depth: 3 0.13/0.37 in_min_size: 2 0.13/0.37 in_max_size: 20 0.13/0.37 in_min_vars: 0 0.13/0.37 in_max_vars: 4 0.13/0.37 in_extaxiom_count: 0 0.13/0.37 in_axiom_count: 15 0.13/0.37 in_assumption_count: 8 0.13/0.37 in_goal_count: 4 0.13/0.37 in_neg_goal_count: 1 0.13/0.37 in_pos_goal_count: 3 0.13/0.37 in_posunit_goal_count: 3 0.13/0.37 0.13/0.37 auto guide: 0.13/0.37 ----------- 0.13/0.37 { 0.13/0.37 "print":1, 0.13/0.37 "print_level": 15, 0.13/0.37 "max_size": 0, 0.13/0.37 "max_depth": 0, 0.13/0.37 "max_length": 0, 0.13/0.37 "max_seconds": 0, 0.13/0.37 "runs":[ 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["query_focus"],"query_preference":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "depth_penalty": 100, "var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "rewrite":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0, "rewrite":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":0, "rewrite":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":0, "var_weight":1, "depth_penalty": 100, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":1, "equality":0, "var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0, "var_weight":1, "length_penalty": 100, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["query_focus"],"query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["positive_pref"],"query_preference":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["hardness_pref"],"query_preference":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.13/0.37 {"max_seconds": 1,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "weight_select_ratio":20}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":0,"max_depth":4}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit","pure_unit"],"query_preference":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1,"max_size":30}, 0.13/0.37 {"max_seconds": 1,"strategy":["query_focus","double"],"query_preference":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit","posunitpara"],"query_preference":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit","posunitpara"],"query_preference":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref","posunitpara"],"query_preference":0}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"], "var_weight":1, "repeat_var_weight":1, "depth_penalty":100, "length_penalty":100, "max_length":3,"max_depth":3}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0, "sine":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":0, "sine":1}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":8}, 0.13/0.37 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":10, "weight_select_ratio":20}, 0.13/0.37 {"max_seconds": 1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.13/0.37 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit"],"query_preference":0}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit"],"query_preference":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0}, 0.13/0.37 {"max_seconds": 5,"strategy":["query_focus"],"query_preference":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.13/0.37 {"max_seconds": 5,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.13/0.37 {"max_seconds": 5,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1, "weight_select_ratio":20}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit"],"query_preference":0,"max_depth":4}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit","pure_unit"],"query_preference":0}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1,"max_size":30}, 0.13/0.37 {"max_seconds": 5,"strategy":["query_focus","double"],"query_preference":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit","posunitpara"],"query_preference":0}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit","posunitpara"],"query_preference":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref","posunitpara"],"query_preference":0}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1, "var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"], "var_weight":1, "repeat_var_weight":1, "depth_penalty":100, "length_penalty":100, "max_length":3,"max_depth":3}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0, "sine":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit"],"query_preference":0, "sine":1}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":8}, 0.13/0.37 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":10, "weight_select_ratio":20}, 0.13/0.37 {"max_seconds": 5,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.13/0.37 0.13/0.37 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":1}, 0.13/0.37 {"max_seconds": 25,"strategy":["unit"],"query_preference":0}, 0.13/0.37 {"max_seconds": 25,"strategy":["unit"],"query_preference":1}, 0.13/0.37 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":0}, 0.13/0.37 {"max_seconds": 25,"strategy":["query_focus"],"query_preference":1}, 0.13/0.37 {"max_seconds": 25,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.13/0.37 {"max_seconds": 25,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.13/0.37 {"max_seconds": 25,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.13/0.37 {"max_seconds": 25,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.13/0.37 {"max_seconds": 25,"strategy":["unit"],"query_preference":0, "weight_select_ratio":20}, 0.13/0.37 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":0, "weight_select_ratio":20}, 0.13/0.37 0.13/0.37 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":1}, 0.13/0.37 {"max_seconds": 125,"strategy":["unit"],"query_preference":0}, 0.13/0.37 {"max_seconds": 125,"strategy":["unit"],"query_preference":1}, 0.13/0.37 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":0}, 0.13/0.37 {"max_seconds": 125,"strategy":["query_focus"],"query_preference":1}, 0.13/0.37 {"max_seconds": 125,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.13/0.37 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.13/0.37 {"max_seconds": 125,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.13/0.37 {"max_seconds": 125,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.13/0.37 {"max_seconds": 125,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.13/0.37 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100} 0.13/0.37 0.13/0.37 ]} 0.13/0.37 0.13/0.37 0.13/0.37 **** run 1 fork 0 starts with strategy 0.13/0.37 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1} 0.13/0.37 0.13/0.37 **** run 2 fork 1 starts with strategy 0.13/0.37 {"max_seconds":1,"strategy":["unit"],"query_preference":0} 0.13/0.37 0.13/0.37 **** run 3 fork 2 starts with strategy 0.13/0.37 {"max_seconds":1,"strategy":["unit"],"query_preference":1} 0.13/0.37 0.13/0.37 **** run 4 fork 3 starts with strategy 0.13/0.37 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0} 0.13/0.37 0.13/0.37 **** run 5 fork 4 starts with strategy 0.13/0.37 {"max_seconds":1,"strategy":["query_focus"],"query_preference":1} 0.13/0.37 0.13/0.37 **** run 6 fork 5 starts with strategy 0.13/0.37 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"depth_penalty":100,"var_weight":1,"repeat_var_weight":1} 0.13/0.37 0.13/0.37 **** run 7 fork 6 starts with strategy 0.13/0.37 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"rewrite":0} 0.19/0.39 0.19/0.39 **** run 8 fork 7 starts with strategy 0.19/0.39 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0,"rewrite":0} 0.19/0.42 0.19/0.42 0.19/0.42 fork 2: search finished without proof, result code 1. 0.19/0.42 0.19/0.42 0.19/0.42 fork 1: search finished without proof, result code 1. 0.19/0.44 0.19/0.44 **** run 10 fork 1 starts with strategy 0.19/0.44 {"max_seconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1} 0.19/0.45 0.19/0.45 **** run 11 fork 2 starts with strategy 0.19/0.45 {"max_seconds":1,"strategy":["unit"],"query_preference":1,"equality":0,"var_weight":1,"repeat_var_weight":1} 0.19/0.47 0.19/0.47 0.19/0.47 fork 2: search finished without proof, result code 1. 0.19/0.48 0.19/0.48 0.19/0.48 fork 1: search finished without proof, result code 1. 0.19/0.49 0.19/0.49 **** run 18 fork 1 starts with strategy 0.19/0.49 {"max_seconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100} 0.19/0.50 0.19/0.50 **** run 19 fork 2 starts with strategy 0.19/0.50 {"max_seconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100} 0.19/0.53 0.19/0.53 0.19/0.53 fork 2: search finished without proof, result code 1. 0.81/0.55 0.81/0.55 **** run 27 fork 2 starts with strategy 0.81/0.55 {"max_seconds":1,"strategy":["unit","pure_unit"],"query_preference":0} 0.88/0.56 0.88/0.56 0.88/0.56 fork 2: search finished without proof, result code 1. 0.88/0.58 0.88/0.58 **** run 35 fork 2 starts with strategy 0.88/0.58 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1} 0.88/0.61 0.88/0.61 0.88/0.61 result: proof found 0.88/0.61 by run 35 fork 2 strat {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1} 0.88/0.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p. 0.88/0.61 0.88/0.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.88/0.61 fof('mp_previous_negative_growth_$sk', plain, ((greater($sk2(X1,X2),appear(efficient_producers,X2)) & (in_environment(X2,$sk2(X1,X2)) & (greater(X1,$sk2(X1,X2)) & greater(zero,growth_rate(efficient_producers,$sk2(X1,X2)))))) | (~(cardinality_at_time(efficient_producers,X1) = zero) | (~greater_or_equal(X1,appear(efficient_producers,X2)) | ~environment(X2)))), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_previous_negative_growth'])). 0.88/0.61 fof('mp_previous_negative_growth', axiom, (! [E,T] : (((environment(E) & greater_or_equal(T,appear(efficient_producers,E))) & (cardinality_at_time(efficient_producers,T) = zero)) => (? [To] : (((greater(zero,growth_rate(efficient_producers,To)) & greater(T,To)) & in_environment(E,To)) & greater(To,appear(efficient_producers,E)))))), 0.88/0.61 input). 0.88/0.61 fof('mp_efficient_producers_exist_$sk', plain, ((greater(cardinality_at_time(efficient_producers,X2),zero) | (cardinality_at_time(efficient_producers,X2) = zero)) | (~environment(X1) | ~in_environment(X1,X2))), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_efficient_producers_exist'])). 0.88/0.61 fof('mp_efficient_producers_exist', axiom, (! [E,T] : ((in_environment(E,T) & environment(E)) => ((cardinality_at_time(efficient_producers,T) = zero) | greater(cardinality_at_time(efficient_producers,T),zero)))), 0.88/0.61 input). 0.88/0.61 fof('prove_t6_$sk', plain, (~greater(cardinality_at_time(efficient_producers,$sk4),zero) & (in_environment($sk3,$sk4) & (greater_or_equal($sk4,appear(efficient_producers,$sk3)) & environment($sk3)))), 0.88/0.61 inference(negpush_and_skolemize,[],['prove_t6'])). 0.88/0.61 fof('prove_t6', conjecture, (! [E,T] : (((environment(E) & greater_or_equal(T,appear(efficient_producers,E))) & in_environment(E,T)) => greater(cardinality_at_time(efficient_producers,T),zero))), 0.88/0.61 input). 0.88/0.61 fof('mp_non_decreasing_$sk', plain, ((greater(cardinality_at_time($sk1(X1,X2),X2),zero) & (~greater(zero,growth_rate($sk1(X1,X2),X2)) & subpopulation($sk1(X1,X2),X1,X2))) | (~in_environment(X1,X2) | (decreases(number_of_organizations(X1,X2)) | ~environment(X1)))), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_non_decreasing'])). 0.88/0.61 fof('mp_non_decreasing', axiom, (! [E,T] : (((environment(E) & ~decreases(number_of_organizations(E,T))) & in_environment(E,T)) => (? [X] : ((subpopulation(X,E,T) & ~greater(zero,growth_rate(X,T))) & greater(cardinality_at_time(X,T),zero))))), 0.88/0.61 input). 0.88/0.61 fof('a9_$sk', plain, (((X3 = efficient_producers) | (first_movers = X3)) | (~subpopulation(X3,X1,X2) | (~greater(cardinality_at_time(X3,X2),zero) | ~environment(X1)))), 0.88/0.61 inference(negpush_and_skolemize,[],['a9'])). 0.88/0.61 fof('a9', hypothesis, (! [E,X,T] : (((environment(E) & greater(cardinality_at_time(X,T),zero)) & subpopulation(X,E,T)) => ((first_movers = X) | (X = efficient_producers)))), 0.88/0.61 input). 0.88/0.61 fof('a12_$sk', plain, (~greater(zero,growth_rate(X4,X3)) | (~environment(X1) | (~greater(resilience(X4),resilience(X2)) | (greater(zero,growth_rate(X2,X3)) | ~in_environment(X1,X3))))), 0.88/0.61 inference(negpush_and_skolemize,[],['a12'])). 0.88/0.61 fof('a12', hypothesis, (! [E,S1,S2,T] : ((((in_environment(E,T) & ~greater(zero,growth_rate(S1,T))) & greater(resilience(S2),resilience(S1))) & environment(E)) => ~greater(zero,growth_rate(S2,T)))), 0.88/0.61 input). 0.88/0.61 fof('a2', hypothesis, greater(resilience(efficient_producers),resilience(first_movers)), 0.88/0.61 input). 0.88/0.61 fof('mp_environment_inequality_$sk', plain, ((greater_or_equal(X2,appear(an_organisation,X1)) | greater(appear(an_organisation,X1),X2)) | (~in_environment(X1,X2) | ~environment(X1))), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_environment_inequality'])). 0.88/0.61 fof('mp_environment_inequality', axiom, (! [E,T] : ((environment(E) & in_environment(E,T)) => (greater(appear(an_organisation,E),T) | greater_or_equal(T,appear(an_organisation,E))))), 0.88/0.61 input). 0.88/0.61 fof('a1_$sk', plain, (greater(number_of_organizations(X2,X1),zero) | (~greater_or_equal(X1,appear(an_organisation,X2)) | (~in_environment(X2,X1) | ~environment(X2)))), 0.88/0.61 inference(negpush_and_skolemize,[],['a1'])). 0.88/0.61 fof('a1', hypothesis, (! [E,T] : (((environment(E) & in_environment(E,T)) & greater_or_equal(T,appear(an_organisation,E))) => greater(number_of_organizations(E,T),zero))), 0.88/0.61 input). 0.88/0.61 fof('mp_start_of_organizations_$sk', plain, ((zero = number_of_organizations(X2,X1)) | (~greater(appear(an_organisation,X2),X1) | (~in_environment(X2,X1) | ~environment(X2)))), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_start_of_organizations'])). 0.88/0.61 fof('mp_start_of_organizations', axiom, (! [E,T] : (((environment(E) & in_environment(E,T)) & greater(appear(an_organisation,E),T)) => (zero = number_of_organizations(E,T)))), 0.88/0.61 input). 0.88/0.61 fof('a3_$sk', plain, (((constant(resources(X2,X1)) | greater(equilibrium(X2),X1)) & (decreases(resources(X2,X1)) | ~greater(equilibrium(X2),X1))) | (~greater(number_of_organizations(X2,X1),zero) | (~in_environment(X2,X1) | ~environment(X2)))), 0.88/0.61 inference(negpush_and_skolemize,[],['a3'])). 0.88/0.61 fof('a3', hypothesis, (! [E,T] : (((environment(E) & in_environment(E,T)) & greater(number_of_organizations(E,T),zero)) => ((greater(equilibrium(E),T) => decreases(resources(E,T))) & (~greater(equilibrium(E),T) => constant(resources(E,T)))))), 0.88/0.61 input). 0.88/0.61 fof('mp_no_members_$sk', plain, ((cardinality_at_time(X3,X2) = zero) | (~environment(X1) | (~in_environment(X1,X2) | (~(number_of_organizations(X1,X2) = zero) | ~subpopulation(X3,X1,X2))))), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_no_members'])). 0.88/0.61 fof('mp_no_members', axiom, (! [E,T,X] : ((((subpopulation(X,E,T) & (number_of_organizations(E,T) = zero)) & in_environment(E,T)) & environment(E)) => (cardinality_at_time(X,T) = zero))), 0.88/0.61 input). 0.88/0.61 fof('mp_subpopulations_$sk', plain, ((subpopulation(efficient_producers,X2,X1) & subpopulation(first_movers,X2,X1)) | (~environment(X2) | ~in_environment(X2,X1))), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_subpopulations'])). 0.88/0.61 fof('mp_subpopulations', axiom, (! [E,T] : ((in_environment(E,T) & environment(E)) => (subpopulation(first_movers,E,T) & subpopulation(efficient_producers,E,T)))), 0.88/0.61 input). 0.88/0.61 fof('mp_empty_not_decreasing_$sk', plain, (~greater(zero,growth_rate(X2,X1)) | ~(cardinality_at_time(X2,X1) = zero)), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_empty_not_decreasing'])). 0.88/0.61 fof('mp_empty_not_decreasing', axiom, (! [S,T] : ((cardinality_at_time(S,T) = zero) => ~greater(zero,growth_rate(S,T)))), 0.88/0.61 input). 0.88/0.61 fof('a6_$sk', plain, (((constant(number_of_organizations(X2,X1)) | ~constant(resources(X2,X1))) & (~decreases(number_of_organizations(X2,X1)) | ~decreases(resources(X2,X1)))) | (~environment(X2) | ~in_environment(X2,X1))), 0.88/0.61 inference(negpush_and_skolemize,[],['a6'])). 0.88/0.61 fof('a6', hypothesis, (! [E,T] : ((in_environment(E,T) & environment(E)) => ((decreases(resources(E,T)) => ~decreases(number_of_organizations(E,T))) & (constant(resources(E,T)) => constant(number_of_organizations(E,T)))))), 0.88/0.61 input). 0.88/0.61 fof('mp_constant_not_decrease_$sk', plain, (~decreases(X1) | ~constant(X1)), 0.88/0.61 inference(negpush_and_skolemize,[],['mp_constant_not_decrease'])). 0.88/0.61 fof('mp_constant_not_decrease', axiom, (! [X] : (constant(X) => ~decreases(X))), 0.88/0.61 input). 0.88/0.61 cnf('1', plain, (cardinality_at_time(efficient_producers,X) != zero | ~greater_or_equal(X,appear(efficient_producers,Y)) | in_environment(Y,$sk2(X,Y)) | ~environment(Y)), 0.88/0.61 inference(cnf_transformation,[],['mp_previous_negative_growth_$sk'])). 0.88/0.61 cnf('2', plain, (cardinality_at_time(efficient_producers,X) = zero | greater(cardinality_at_time(efficient_producers,X),zero) | ~in_environment(Y,X) | ~environment(Y)), 0.88/0.61 inference(cnf_transformation,[],['mp_efficient_producers_exist_$sk'])). 0.88/0.61 cnf('3', plain, (in_environment($sk3,$sk4)), 0.88/0.61 inference(cnf_transformation,[],['prove_t6_$sk'])). 0.88/0.61 cnf('4', plain, (~greater(cardinality_at_time(efficient_producers,$sk4),zero)), 0.88/0.61 inference(cnf_transformation,[],['prove_t6_$sk'])). 0.88/0.61 cnf('5', plain, (environment($sk3)), 0.88/0.61 inference(cnf_transformation,[],['prove_t6_$sk'])). 0.88/0.61 cnf('6', plain, (cardinality_at_time(efficient_producers,$sk4) = zero), 0.88/0.61 inference(resolution,[then_simplify],['2','3','4','5'])). 0.88/0.61 cnf('7', plain, (~greater_or_equal($sk4,appear(efficient_producers,X)) | in_environment(X,$sk2($sk4,X)) | ~environment(X)), 0.88/0.61 inference(resolution,[],['1','6'])). 0.88/0.61 cnf('8', plain, (greater_or_equal($sk4,appear(efficient_producers,$sk3))), 0.88/0.61 inference(cnf_transformation,[],['prove_t6_$sk'])). 0.88/0.61 cnf('9', plain, (in_environment($sk3,$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['7','8','5'])). 0.88/0.61 cnf('10', plain, (greater(cardinality_at_time($sk1(X,Y),Y),zero) | decreases(number_of_organizations(X,Y)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_non_decreasing_$sk'])). 0.88/0.61 cnf('11', plain, (greater(cardinality_at_time($sk1($sk3,$sk2($sk4,$sk3)),$sk2($sk4,$sk3)),zero) | decreases(number_of_organizations($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['9','10','5'])). 0.88/0.61 cnf('12', plain, (~greater(cardinality_at_time(X,Y),zero) | ~subpopulation(X,Z,Y) | first_movers = X | X = efficient_producers | ~environment(Z)), 0.88/0.61 inference(cnf_transformation,[],['a9_$sk'])). 0.88/0.61 cnf('13', plain, (first_movers = $sk1($sk3,$sk2($sk4,$sk3)) | $sk1($sk3,$sk2($sk4,$sk3)) = efficient_producers | decreases(number_of_organizations($sk3,$sk2($sk4,$sk3))) | ~subpopulation($sk1($sk3,$sk2($sk4,$sk3)),X,$sk2($sk4,$sk3)) | ~environment(X)), 0.88/0.61 inference(resolution,[],['11','12'])). 0.88/0.61 cnf('14', plain, (subpopulation($sk1(X,Y),X,Y) | decreases(number_of_organizations(X,Y)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_non_decreasing_$sk'])). 0.88/0.61 cnf('15', plain, (subpopulation($sk1($sk3,$sk2($sk4,$sk3)),$sk3,$sk2($sk4,$sk3)) | decreases(number_of_organizations($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['9','14','5'])). 0.88/0.61 cnf('16', plain, (first_movers = $sk1($sk3,$sk2($sk4,$sk3)) | $sk1($sk3,$sk2($sk4,$sk3)) = efficient_producers | decreases(number_of_organizations($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['13','15','5'])). 0.88/0.61 cnf('17', plain, (~greater(zero,growth_rate($sk1(X,Y),Y)) | decreases(number_of_organizations(X,Y)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_non_decreasing_$sk'])). 0.88/0.61 cnf('18', plain, (greater(zero,growth_rate(efficient_producers,$sk2(X,Y))) | cardinality_at_time(efficient_producers,X) != zero | ~greater_or_equal(X,appear(efficient_producers,Y)) | ~environment(Y)), 0.88/0.61 inference(cnf_transformation,[],['mp_previous_negative_growth_$sk'])). 0.88/0.61 cnf('19', plain, (greater(zero,growth_rate(efficient_producers,$sk2($sk4,X))) | ~greater_or_equal($sk4,appear(efficient_producers,X)) | ~environment(X)), 0.88/0.61 inference(resolution,[],['18','6'])). 0.88/0.61 cnf('20', plain, (greater(zero,growth_rate(efficient_producers,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['19','8','5'])). 0.88/0.61 cnf('21', plain, (in_environment($sk3,$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['7','8','5'])). 0.88/0.61 cnf('22', plain, (first_movers = $sk1($sk3,$sk2($sk4,$sk3)) | decreases(number_of_organizations($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(paramodulation,[then_simplify],['16','17','20','21','5'])). 0.88/0.61 cnf('23', plain, (greater(zero,growth_rate(efficient_producers,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['19','8','5'])). 0.88/0.61 cnf('24', plain, (greater(zero,growth_rate(X,Y)) | ~greater(zero,growth_rate(Z,Y)) | ~greater(resilience(Z),resilience(X)) | ~in_environment(U,Y) | ~environment(U)), 0.88/0.61 inference(cnf_transformation,[],['a12_$sk'])). 0.88/0.61 cnf('25', plain, (greater(zero,growth_rate(X,$sk2($sk4,$sk3))) | ~greater(resilience(efficient_producers),resilience(X)) | ~in_environment(Y,$sk2($sk4,$sk3)) | ~environment(Y)), 0.88/0.61 inference(resolution,[],['23','24'])). 0.88/0.61 cnf('26', plain, (greater(zero,growth_rate(X,$sk2($sk4,$sk3))) | ~greater(resilience(efficient_producers),resilience(X))), 0.88/0.61 inference(resolution,[then_simplify],['25','9','5'])). 0.88/0.61 cnf('27', plain, (greater(resilience(efficient_producers),resilience(first_movers))), 0.88/0.61 inference(cnf_transformation,[],['a2'])). 0.88/0.61 cnf('28', plain, (greater(zero,growth_rate(first_movers,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[],['26','27'])). 0.88/0.61 cnf('29', plain, (decreases(number_of_organizations($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(paramodulation,[then_simplify],['22','17','28','21','5'])). 0.88/0.61 cnf('30', plain, (greater(appear(an_organisation,X),Y) | greater_or_equal(Y,appear(an_organisation,X)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_environment_inequality_$sk'])). 0.88/0.61 cnf('31', plain, (greater_or_equal($sk2($sk4,$sk3),appear(an_organisation,$sk3)) | greater(appear(an_organisation,$sk3),$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['9','30','5'])). 0.88/0.61 cnf('32', plain, (greater(number_of_organizations(X,Y),zero) | ~greater_or_equal(Y,appear(an_organisation,X)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['a1_$sk'])). 0.88/0.61 cnf('33', plain, (greater(number_of_organizations($sk3,$sk2($sk4,$sk3)),zero) | greater(appear(an_organisation,$sk3),$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['31','32','21','5'])). 0.88/0.61 cnf('34', plain, (~greater(appear(an_organisation,X),Y) | zero = number_of_organizations(X,Y) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_start_of_organizations_$sk'])). 0.88/0.61 cnf('35', plain, (greater(number_of_organizations($sk3,$sk2($sk4,$sk3)),zero) | zero = number_of_organizations($sk3,$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['33','34','21','5'])). 0.88/0.61 cnf('36', plain, (~greater(number_of_organizations(X,Y),zero) | greater(equilibrium(X),Y) | constant(resources(X,Y)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['a3_$sk'])). 0.88/0.61 cnf('37', plain, (zero = number_of_organizations($sk3,$sk2($sk4,$sk3)) | constant(resources($sk3,$sk2($sk4,$sk3))) | greater(equilibrium($sk3),$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['35','36','21','5'])). 0.88/0.61 cnf('38', plain, (number_of_organizations(X,Y) != zero | cardinality_at_time(Z,Y) = zero | ~subpopulation(Z,X,Y) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_no_members_$sk'])). 0.88/0.61 cnf('39', plain, (constant(resources($sk3,$sk2($sk4,$sk3))) | greater(equilibrium($sk3),$sk2($sk4,$sk3)) | cardinality_at_time(X,$sk2($sk4,$sk3)) = zero | ~subpopulation(X,$sk3,$sk2($sk4,$sk3))), 0.88/0.61 inference(paramodulation,[then_simplify],['37','38','21','5'])). 0.88/0.61 cnf('40', plain, (subpopulation(efficient_producers,X,Y) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_subpopulations_$sk'])). 0.88/0.61 cnf('41', plain, (subpopulation(efficient_producers,$sk3,$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['9','40','5'])). 0.88/0.61 cnf('42', plain, (~greater(zero,growth_rate(X,Y)) | cardinality_at_time(X,Y) != zero), 0.88/0.61 inference(cnf_transformation,[],['mp_empty_not_decreasing_$sk'])). 0.88/0.61 cnf('43', plain, (cardinality_at_time(efficient_producers,$sk2($sk4,$sk3)) != zero), 0.88/0.61 inference(resolution,[],['23','42'])). 0.88/0.61 cnf('44', plain, (constant(resources($sk3,$sk2($sk4,$sk3))) | greater(equilibrium($sk3),$sk2($sk4,$sk3))), 0.88/0.61 inference(resolution,[then_simplify],['39','41','43'])). 0.88/0.61 cnf('45', plain, (~greater(number_of_organizations(X,Y),zero) | ~greater(equilibrium(X),Y) | decreases(resources(X,Y)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['a3_$sk'])). 0.88/0.61 cnf('46', plain, (~greater(equilibrium($sk3),$sk2($sk4,$sk3)) | zero = number_of_organizations($sk3,$sk2($sk4,$sk3)) | decreases(resources($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['35','45','21','5'])). 0.88/0.61 cnf('47', plain, (zero = number_of_organizations($sk3,$sk2($sk4,$sk3)) | decreases(resources($sk3,$sk2($sk4,$sk3))) | constant(resources($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[],['44','46'])). 0.88/0.61 cnf('48', plain, (decreases(resources($sk3,$sk2($sk4,$sk3))) | constant(resources($sk3,$sk2($sk4,$sk3))) | cardinality_at_time(X,$sk2($sk4,$sk3)) = zero | ~subpopulation(X,$sk3,$sk2($sk4,$sk3))), 0.88/0.61 inference(paramodulation,[then_simplify],['47','38','21','5'])). 0.88/0.61 cnf('49', plain, (decreases(resources($sk3,$sk2($sk4,$sk3))) | constant(resources($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['48','41','43'])). 0.88/0.61 cnf('50', plain, (~decreases(resources(X,Y)) | ~decreases(number_of_organizations(X,Y)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['a6_$sk'])). 0.88/0.61 cnf('51', plain, (~decreases(number_of_organizations($sk3,$sk2($sk4,$sk3))) | constant(resources($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['49','50','21','5'])). 0.88/0.61 cnf('52', plain, (constant(resources($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[],['29','51'])). 0.88/0.61 cnf('53', plain, (~constant(resources(X,Y)) | constant(number_of_organizations(X,Y)) | ~in_environment(X,Y) | ~environment(X)), 0.88/0.61 inference(cnf_transformation,[],['a6_$sk'])). 0.88/0.61 cnf('54', plain, (constant(number_of_organizations($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(resolution,[then_simplify],['52','53','21','5'])). 0.88/0.61 cnf('55', plain, (~constant(X) | ~decreases(X)), 0.88/0.61 inference(cnf_transformation,[],['mp_constant_not_decrease_$sk'])). 0.88/0.61 cnf('56', plain, (decreases(number_of_organizations($sk3,$sk2($sk4,$sk3)))), 0.88/0.61 inference(paramodulation,[then_simplify],['22','17','28','21','5'])). 0.88/0.61 cnf('57', plain, ($false), 0.88/0.61 inference(resolution,[then_simplify],['54','55','56'])). 0.88/0.61 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.88/0.61 0.88/0.61 run 35 fork 2 statistics: 0.88/0.61 ---------------------------------- 0.88/0.61 this run seconds: 0.011439 0.88/0.61 stat_given_used: 93 0.88/0.61 stat_given_used_at_endgame: 0 0.88/0.61 stat_given_candidates: 186 0.88/0.61 stat_given_candidates_at_endgame: 0 0.88/0.61 stat_given_candidates_h: 0 0.88/0.61 stat_binres_derived_cl: 65 0.88/0.61 stat_binres_derived_cl_h: 0 0.88/0.61 stat_factor_derived_cl: 0 0.88/0.61 stat_para_derived_cl: 84 0.88/0.61 stat_tautologies_discarded: 3 0.88/0.61 stat_forward_subsumed: 16 0.88/0.61 stat_derived_cut: 56 0.88/0.61 stat_derived_rewritten: 0 0.88/0.61 stat_weight_discarded_building: 0 0.88/0.61 stat_weight_discarded_cl: 0 0.88/0.61 stat_internlimit_discarded_cl: 0 0.88/0.61 stat_simplified: 4 simplified 0 derived 0 given 0.88/0.61 stat_kept_cl: 94 0.88/0.61 stat_built_cl: 284 0.88/0.61 stat_hyperres_partial_cl: 0 0.88/0.61 stat_made_rewriters: 1 0.88/0.61 stat_backward_subsumed: 0 0.88/0.61 stat_propagated_subsumed: 0 0.88/0.61 stat_clsubs_attempted: 98 0.88/0.61 stat_clsubs_fact_groundunit_found: 4 0.88/0.61 stat_clsubs_rule_groundunit_found: 12 0.88/0.61 stat_clsubs_top_meta_attempted: 5626 0.88/0.61 stat_clsubs_top_meta_failed: 5528 0.88/0.61 stat_clsubs_top_meta_nonpref_attempted: 5626 0.88/0.61 stat_clsubs_top_meta_nonpref_succeeded: 1009 0.88/0.61 stat_clsubs_top_meta_pref_attempted: 1009 0.88/0.61 stat_clsubs_top_meta_pref1_succeeded: 270 0.88/0.61 stat_clsubs_top_meta_pref2_succeeded: 109 0.88/0.61 stat_clsubs_top_meta_pref3_succeeded: 98 0.88/0.61 stat_clsubs_top_meta_pref_succeeded: 98 0.88/0.61 stat_clsubs_meta_attempted: 315 0.88/0.61 stat_clsubs_meta_failed: 81 0.88/0.61 stat_clsubs_predsymbs_attempted: 0 0.88/0.61 stat_clsubs_unit_attempted: 0 0.88/0.61 stat_clsubs_full_attempted: 98 0.88/0.61 stat_forwardsubs_attempted: 111 0.88/0.61 stat_lit_hash_added: 45 0.88/0.61 stat_lit_hash_computed: 1193 0.88/0.61 stat_lit_hash_match_found: 112 0.88/0.61 stat_lit_hash_match_miss: 1874 0.88/0.61 stat_lit_hash_cut_ok: 78 0.88/0.61 stat_lit_strong_cut_ok: 0 0.88/0.61 stat_lit_hash_subsume_ok: 16 0.88/0.61 clqueue els 10000000 used 1 0.88/0.61 clactive els 10000000 used 94 0.88/0.61 clactivesubsume els 10000000 used 421 0.88/0.61 queue_termbuf els 200000000 used 6439 0.88/0.61 hyper_termbuf els 100000000 used 1 0.88/0.61 active_termbuf els 100000000 used 4367 0.88/0.61 varstack els 5000 last used 1 0.88/0.61 given_termbuf els 10000000 last used 1 0.88/0.61 simplified_termbuf els 10000000 last used 1 0.88/0.61 derived_termbuf els 10000000 last used 35 0.88/0.61 wr_mallocs: 966 0.88/0.61 wr_callocs: 19 0.88/0.61 wr_reallocs: 3 0.88/0.61 wr_frees: 2 0.88/0.61 wr_malloc_bytes: 4162610628 0.88/0.61 wr_calloc_bytes: 96065504 0.88/0.61 wr_realloc_bytes: 1144 0.88/0.61 wr_realloc_freebytes: 0 0.88/0.61 ---------------------------------- 0.88/0.61 EOF