0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : gkc %s 0.11/0.32 % Computer : n028.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % WCLimit : 120 0.11/0.32 % DateTime : Thu Jul 2 07:08:51 EDT 2020 0.11/0.32 % CPUTime : 0.11/0.39 0.11/0.39 input clause set summed statistics: 0.11/0.39 ---------------------------------- 0.11/0.39 in_clause_count: 74 0.11/0.39 in_rule_clause_count: 72 0.11/0.39 in_fact_clause_count: 2 0.11/0.39 in_answer_clause_count: 0 0.11/0.39 in_ground_clause_count: 4 0.11/0.39 in_unit_clause_count: 3 0.11/0.39 in_horn_clause_count: 50 0.11/0.39 in_pos_clause_count: 5 0.11/0.39 in_neg_clause_count: 7 0.11/0.39 in_poseq_clause_count: 31 0.11/0.39 in_negeq_clause_count: 17 0.11/0.39 in_unitposeq_clause_count: 0 0.11/0.39 in_chain_clause_count: 0 0.11/0.39 in_min_length: 1 0.11/0.39 in_max_length: 8 0.11/0.39 in_min_depth: 1 0.11/0.39 in_max_depth: 3 0.11/0.39 in_min_size: 4 0.11/0.39 in_max_size: 35 0.11/0.39 in_min_vars: 0 0.11/0.39 in_max_vars: 6 0.11/0.39 in_extaxiom_count: 56 0.11/0.39 in_axiom_count: 14 0.11/0.39 in_assumption_count: 0 0.11/0.39 in_goal_count: 4 0.11/0.39 in_neg_goal_count: 0 0.11/0.39 in_pos_goal_count: 4 0.11/0.39 in_posunit_goal_count: 2 0.11/0.39 0.11/0.39 auto guide: 0.11/0.39 ----------- 0.11/0.39 { 0.11/0.39 "print":1, 0.11/0.39 "print_level": 15, 0.11/0.39 "max_size": 0, 0.11/0.39 "max_depth": 0, 0.11/0.39 "max_length": 0, 0.11/0.39 "max_seconds": 0, 0.11/0.39 "runs":[ 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["query_focus"],"query_preference":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "depth_penalty": 100, "var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "rewrite":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0, "rewrite":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":0, "rewrite":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":0, "var_weight":1, "depth_penalty": 100, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":1, "equality":0, "var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0, "var_weight":1, "length_penalty": 100, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["query_focus"],"query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["positive_pref"],"query_preference":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["hardness_pref"],"query_preference":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.11/0.39 {"max_seconds": 1,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "weight_select_ratio":20}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":0,"max_depth":4}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit","pure_unit"],"query_preference":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1,"max_size":30}, 0.11/0.39 {"max_seconds": 1,"strategy":["query_focus","double"],"query_preference":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit","posunitpara"],"query_preference":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit","posunitpara"],"query_preference":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref","posunitpara"],"query_preference":0}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":1, "var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"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}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0, "sine":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":0, "sine":1}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":8}, 0.11/0.39 {"max_seconds": 1,"strategy":["negative_pref"],"query_preference":0,"max_depth":10, "weight_select_ratio":20}, 0.11/0.39 {"max_seconds": 1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.11/0.39 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit"],"query_preference":0}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit"],"query_preference":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0}, 0.11/0.39 {"max_seconds": 5,"strategy":["query_focus"],"query_preference":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.11/0.39 {"max_seconds": 5,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.11/0.39 {"max_seconds": 5,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1, "weight_select_ratio":20}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit"],"query_preference":0,"max_depth":4}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit","pure_unit"],"query_preference":0}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1,"max_size":30}, 0.11/0.39 {"max_seconds": 5,"strategy":["query_focus","double"],"query_preference":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit","posunitpara"],"query_preference":0}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit","posunitpara"],"query_preference":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref","posunitpara"],"query_preference":0}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":1, "var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"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}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0, "sine":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit"],"query_preference":0, "sine":1}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":8}, 0.11/0.39 {"max_seconds": 5,"strategy":["negative_pref"],"query_preference":0,"max_depth":10, "weight_select_ratio":20}, 0.11/0.39 {"max_seconds": 5,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty": 50, "length_penalty":100}, 0.11/0.39 0.11/0.39 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":1}, 0.11/0.39 {"max_seconds": 25,"strategy":["unit"],"query_preference":0}, 0.11/0.39 {"max_seconds": 25,"strategy":["unit"],"query_preference":1}, 0.11/0.39 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":0}, 0.11/0.39 {"max_seconds": 25,"strategy":["query_focus"],"query_preference":1}, 0.11/0.39 {"max_seconds": 25,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.11/0.39 {"max_seconds": 25,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.11/0.39 {"max_seconds": 25,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.11/0.39 {"max_seconds": 25,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100}, 0.11/0.39 {"max_seconds": 25,"strategy":["unit"],"query_preference":0, "weight_select_ratio":20}, 0.11/0.39 {"max_seconds": 25,"strategy":["negative_pref"],"query_preference":0, "weight_select_ratio":20}, 0.11/0.39 0.11/0.39 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":1}, 0.11/0.39 {"max_seconds": 125,"strategy":["unit"],"query_preference":0}, 0.11/0.39 {"max_seconds": 125,"strategy":["unit"],"query_preference":1}, 0.11/0.39 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":0}, 0.11/0.39 {"max_seconds": 125,"strategy":["query_focus"],"query_preference":1}, 0.11/0.39 {"max_seconds": 125,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}, 0.11/0.39 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":1, "equality":0}, 0.11/0.39 {"max_seconds": 125,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}, 0.11/0.39 {"max_seconds": 125,"strategy":["unit"],"query_preference":0,"depth_penalty": 100}, 0.11/0.39 {"max_seconds": 125,"strategy":["query_focus"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":1,"var_weight":1, "repeat_var_weight":1}, 0.11/0.39 {"max_seconds": 125,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100, "depth_penalty":100, "length_penalty":100} 0.11/0.39 0.11/0.39 ]} 0.11/0.39 0.11/0.39 0.11/0.39 **** run 1 fork 0 starts with strategy 0.11/0.39 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1} 0.11/0.40 0.11/0.40 **** run 2 fork 1 starts with strategy 0.11/0.40 {"max_seconds":1,"strategy":["unit"],"query_preference":0} 0.11/0.40 0.11/0.40 **** run 3 fork 2 starts with strategy 0.11/0.40 {"max_seconds":1,"strategy":["unit"],"query_preference":1} 0.11/0.40 0.11/0.40 **** run 4 fork 3 starts with strategy 0.11/0.40 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0} 0.17/0.40 0.17/0.40 **** run 5 fork 4 starts with strategy 0.17/0.40 {"max_seconds":1,"strategy":["query_focus"],"query_preference":1} 0.17/0.40 0.17/0.40 **** run 6 fork 5 starts with strategy 0.17/0.40 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"depth_penalty":100,"var_weight":1,"repeat_var_weight":1} 0.17/0.40 0.17/0.40 **** run 7 fork 6 starts with strategy 0.17/0.40 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"rewrite":0} 0.17/0.40 0.17/0.40 **** run 8 fork 7 starts with strategy 0.17/0.40 {"max_seconds":1,"strategy":["negative_pref"],"query_preference":0,"rewrite":0} 0.17/0.41 0.17/0.41 rgenloop processing proof found by wr_paramodulate_from_all_active 0.17/0.41 0.17/0.41 rgenloop processing proof found by wr_paramodulate_from_all_active 0.17/0.41 0.17/0.41 rgenloop processing proof found by wr_paramodulate_from_all_active 0.17/0.41 0.17/0.41 rgenloop processing proof found by wr_paramodulate_from_all_active 0.17/0.42 0.17/0.42 0.17/0.42 result: proof found 0.17/0.42 by run 6 fork 5 strat {"max_seconds":1,"strategy":["negative_pref"],"query_preference":1,"depth_penalty":100,"var_weight":1,"repeat_var_weight":1} 0.17/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p. 0.17/0.42 0.17/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.42 fof('$imp::shortest_path_properties_$sk', plain, (((~(tail_of(X5) = tail_of(X6)) | ~(head_of(X6) = head_of(X4))) & ~precedes(X4,X5,X3)) | (~precedes(X5,X4,X3) | ~shortest_path(X2,X1,X3))), 0.17/0.42 inference(negpush_and_skolemize,[],['$imp::shortest_path_properties'])). 0.17/0.42 fof('$imp::shortest_path_properties', axiom, (! [V1,V2,E1,E2,P] : ((shortest_path(V1,V2,P) & precedes(E1,E2,P)) => (~precedes(E2,E1,P) & ~(? [E3] : ((head_of(E3) = head_of(E2)) & (tail_of(E1) = tail_of(E3))))))), 0.17/0.42 input). 0.17/0.42 fof('shortest_path_properties_lemma_$sk', plain, (((tail_of($sk5) = head_of($sk4)) | ((head_of($sk5) = head_of($sk4)) | ((head_of($sk6) = head_of($sk4)) & (tail_of($sk5) = tail_of($sk6))))) & (precedes($sk5,$sk4,$sk1) & shortest_path($sk3,$sk2,$sk1))), 0.17/0.42 inference(negpush_and_skolemize,[],['shortest_path_properties_lemma'])). 0.17/0.42 fof('shortest_path_properties_lemma', conjecture, (! [V1,V2,E1,E2,P] : ((shortest_path(V1,V2,P) & precedes(E1,E2,P)) => ((~(? [E3] : ((tail_of(E1) = tail_of(E3)) & (head_of(E3) = head_of(E2)))) & ~(head_of(E1) = head_of(E2))) & ~(tail_of(E1) = head_of(E2))))), 0.17/0.42 input). 0.17/0.42 fof('$imp::sequential_defn_$sk', plain, ((~sequential(X2,X1) | (~(X1 = X2) & ((head_of(X2) = tail_of(X1)) & (edge(X1) & edge(X2))))) & (sequential(X4,X3) | ((X3 = X4) | (~(head_of(X4) = tail_of(X3)) | (~edge(X3) | ~edge(X4)))))), 0.17/0.42 inference(negpush_and_skolemize,[],['$imp::sequential_defn'])). 0.17/0.42 fof('$imp::sequential_defn', axiom, (! [E1,E2] : (sequential(E1,E2) <=> (((edge(E1) & edge(E2)) & (head_of(E1) = tail_of(E2))) & ~(E2 = E1)))), 0.17/0.42 input). 0.17/0.42 fof('$imp::precedes_properties_$sk', plain, ((((((sequential(X5,$sk9(X1,X2,X3,X4,X5)) & precedes($sk9(X1,X2,X3,X4,X5),X4,X3)) & ~sequential(X5,X4)) | ((~sequential(X5,X6) | ~precedes(X6,X4,X3)) & sequential(X5,X4))) & (on_path(X5,X3) & on_path(X4,X3))) | ~precedes(X5,X4,X3)) | ~path(X1,X2,X3)), 0.17/0.42 inference(negpush_and_skolemize,[],['$imp::precedes_properties'])). 0.17/0.42 fof('$imp::precedes_properties', axiom, (! [P,V1,V2] : (path(V1,V2,P) => (! [E1,E2] : (precedes(E1,E2,P) => ((on_path(E2,P) & on_path(E1,P)) & ~((? [E3] : (precedes(E3,E2,P) & sequential(E1,E3))) <=> sequential(E1,E2))))))), 0.17/0.42 input). 0.17/0.42 fof('$imp::shortest_path_defn_$sk', plain, ((((~less_or_equal(length_of(X3),length_of($sk13(X1,X2,X3))) & path(X1,X2,$sk13(X1,X2,X3))) | ((X1 = X2) | ~path(X1,X2,X3))) | shortest_path(X1,X2,X3)) & (((less_or_equal(length_of(X6),length_of(X7)) | ~path(X4,X5,X7)) & (~(X4 = X5) & path(X4,X5,X6))) | ~shortest_path(X4,X5,X6))), 0.17/0.42 inference(negpush_and_skolemize,[],['$imp::shortest_path_defn'])). 0.17/0.42 fof('$imp::shortest_path_defn', axiom, (! [V1,V2,SP] : (((path(V1,V2,SP) & ~(V1 = V2)) & (! [P] : (path(V1,V2,P) => less_or_equal(length_of(SP),length_of(P))))) <=> shortest_path(V1,V2,SP))), 0.17/0.42 input). 0.17/0.42 fof('$imp::on_path_properties_$sk', plain, ((in_path(tail_of(X4),X3) & (edge(X4) & in_path(head_of(X4),X3))) | (~on_path(X4,X3) | ~path(X2,X1,X3))), 0.17/0.42 inference(negpush_and_skolemize,[],['$imp::on_path_properties'])). 0.17/0.42 fof('$imp::on_path_properties', axiom, (! [V1,V2,P,E] : ((path(V1,V2,P) & on_path(E,P)) => ((in_path(head_of(E),P) & edge(E)) & in_path(tail_of(E),P)))), 0.17/0.42 input). 0.17/0.42 fof('$imp::precedes_defn_$sk', plain, ((precedes(X5,X4,X3) | (~on_path(X4,X3) | ((~sequential(X5,X4) & (~sequential(X5,X6) | ~precedes(X6,X4,X3))) | ~on_path(X5,X3)))) | ~path(X1,X2,X3)), 0.17/0.42 inference(negpush_and_skolemize,[],['$imp::precedes_defn'])). 0.17/0.42 fof('$imp::precedes_defn', axiom, (! [P,V1,V2] : (path(V1,V2,P) => (! [E1,E2] : (((on_path(E1,P) & ((? [E3] : (precedes(E3,E2,P) & sequential(E1,E3))) | sequential(E1,E2))) & on_path(E2,P)) => precedes(E1,E2,P))))), 0.17/0.42 input). 0.17/0.42 cnf('1', plain, (head_of(X) != head_of(Y) | tail_of(Z) != tail_of(X) | ~shortest_path(U,V,W) | ~precedes(Z,Y,W)), 0.17/0.42 inference(cnf_transformation,[],['$imp::shortest_path_properties_$sk'])). 0.17/0.42 cnf('2', plain, (head_of($sk5) = head_of($sk4) | tail_of($sk5) = head_of($sk4) | tail_of($sk5) = tail_of($sk6)), 0.17/0.42 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])). 0.17/0.42 cnf('3', plain, (tail_of($sk5) = head_of($sk4) | tail_of($sk5) = tail_of($sk6) | tail_of(X) != tail_of($sk5) | ~precedes(X,$sk4,Y) | ~shortest_path(Z,U,Y)), 0.17/0.42 inference(resolution,[],['1','2'])). 0.17/0.42 cnf('4', plain, (tail_of($sk5) = head_of($sk4) | tail_of($sk5) = tail_of($sk6) | ~precedes($sk5,$sk4,X) | ~shortest_path(Y,Z,X)), 0.17/0.42 inference(reflexivity,[],['3'])). 0.17/0.42 cnf('5', plain, (precedes($sk5,$sk4,$sk1)), 0.17/0.42 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])). 0.17/0.42 cnf('6', plain, (shortest_path($sk3,$sk2,$sk1)), 0.17/0.42 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])). 0.17/0.42 cnf('7', plain, (tail_of($sk5) = head_of($sk4) | tail_of($sk5) = tail_of($sk6)), 0.17/0.42 inference(resolution,[then_simplify],['4','5','6'])). 0.17/0.42 cnf('8', plain, (head_of(X) != tail_of(Y) | Y = X | sequential(X,Y) | ~edge(X) | ~edge(Y)), 0.17/0.42 inference(cnf_transformation,[],['$imp::sequential_defn_$sk'])). 0.17/0.42 cnf('9', plain, (~path(X,Y,Z) | ~precedes(U,V,Z) | on_path(U,Z)), 0.17/0.42 inference(cnf_transformation,[],['$imp::precedes_properties_$sk'])). 0.17/0.42 cnf('10', plain, (~shortest_path(X,Y,Z) | path(X,Y,Z)), 0.17/0.42 inference(cnf_transformation,[],['$imp::shortest_path_defn_$sk'])). 0.17/0.42 cnf('11', plain, (shortest_path($sk3,$sk2,$sk1)), 0.17/0.42 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])). 0.17/0.42 cnf('12', plain, (path($sk3,$sk2,$sk1)), 0.17/0.42 inference(resolution,[],['10','11'])). 0.17/0.42 cnf('13', plain, (~precedes(X,Y,$sk1) | on_path(X,$sk1)), 0.17/0.42 inference(resolution,[],['9','12'])). 0.17/0.42 cnf('14', plain, (on_path($sk5,$sk1)), 0.17/0.42 inference(resolution,[],['13','5'])). 0.17/0.42 cnf('15', plain, (~path(X,Y,Z) | ~on_path(U,Z) | edge(U)), 0.17/0.42 inference(cnf_transformation,[],['$imp::on_path_properties_$sk'])). 0.17/0.42 cnf('16', plain, (~on_path(X,$sk1) | edge(X)), 0.17/0.42 inference(resolution,[],['15','12'])). 0.17/0.42 cnf('17', plain, (edge($sk5)), 0.17/0.42 inference(resolution,[],['14','16'])). 0.17/0.42 cnf('18', plain, (tail_of($sk5) = tail_of($sk6) | head_of(X) != head_of($sk4) | $sk5 = X | sequential(X,$sk5) | ~edge(X)), 0.17/0.42 inference(paramodulation,[then_simplify],['7','8','17'])). 0.17/0.42 cnf('19', plain, (~path(X,Y,Z) | precedes(U,V,Z) | ~precedes(W,V,Z) | ~on_path(V,Z) | ~on_path(U,Z) | ~sequential(U,W)), 0.17/0.42 inference(cnf_transformation,[],['$imp::precedes_defn_$sk'])). 0.17/0.42 cnf('20', plain, (~precedes(X,Y,$sk1) | precedes(Z,Y,$sk1) | ~sequential(Z,X) | ~on_path(Z,$sk1) | ~on_path(Y,$sk1)), 0.17/0.42 inference(resolution,[],['19','12'])). 0.17/0.42 cnf('21', plain, (~shortest_path(X,Y,Z) | ~precedes(U,V,Z) | ~precedes(V,U,Z)), 0.17/0.42 inference(cnf_transformation,[],['$imp::shortest_path_properties_$sk'])). 0.17/0.42 cnf('22', plain, (~precedes(X,Y,$sk1) | ~precedes(Y,X,$sk1)), 0.17/0.42 inference(resolution,[],['21','11'])). 0.17/0.42 cnf('23', plain, (~precedes(X3,X3,$sk1)), 0.17/0.42 inference(factorization,[],['22'])). 0.17/0.42 cnf('24', plain, (~precedes(X,Y,$sk1) | ~on_path(Y,$sk1) | ~sequential(Y,X)), 0.17/0.42 inference(factorization,[then_simplify],['20','23'])). 0.17/0.42 cnf('25', plain, (~path(X,Y,Z) | ~precedes(U,V,Z) | on_path(V,Z)), 0.17/0.42 inference(cnf_transformation,[],['$imp::precedes_properties_$sk'])). 0.17/0.42 cnf('26', plain, (~precedes(X,Y,$sk1) | on_path(Y,$sk1)), 0.17/0.42 inference(resolution,[],['25','12'])). 0.17/0.42 cnf('27', plain, (on_path($sk4,$sk1)), 0.17/0.42 inference(resolution,[],['26','5'])). 0.17/0.42 cnf('28', plain, (~sequential($sk4,$sk5)), 0.17/0.42 inference(resolution,[then_simplify],['24','5','27'])). 0.17/0.42 cnf('29', plain, (on_path($sk4,$sk1)), 0.17/0.42 inference(resolution,[],['26','5'])). 0.17/0.42 cnf('30', plain, (edge($sk4)), 0.17/0.42 inference(resolution,[],['29','16'])). 0.17/0.42 cnf('31', plain, (tail_of($sk5) = tail_of($sk6) | $sk5 = $sk4), 0.17/0.42 inference(reflexivity,[then_simplify],['18','28','30'])). 0.17/0.42 cnf('32', plain, (head_of(X) != head_of(Y) | ~precedes(X,Y,Z) | ~shortest_path(U,V,Z)), 0.17/0.42 inference(reflexivity,[],['1'])). 0.17/0.42 cnf('33', plain, (head_of($sk6) = head_of($sk4) | head_of($sk5) = head_of($sk4) | tail_of($sk5) = head_of($sk4)), 0.17/0.42 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])). 0.17/0.42 cnf('34', plain, (head_of($sk6) = head_of($sk4) | tail_of($sk5) = head_of($sk4) | ~precedes($sk5,$sk4,X) | ~shortest_path(Y,Z,X)), 0.17/0.42 inference(resolution,[],['32','33'])). 0.17/0.42 cnf('35', plain, (head_of($sk6) = head_of($sk4) | tail_of($sk5) = head_of($sk4)), 0.17/0.42 inference(resolution,[then_simplify],['34','5','6'])). 0.17/0.42 cnf('36', plain, (tail_of($sk5) = head_of($sk4) | tail_of(X) != tail_of($sk6) | ~precedes(X,$sk4,Y) | ~shortest_path(Z,U,Y)), 0.17/0.42 inference(resolution,[],['35','1'])). 0.17/0.42 cnf('37', plain, (tail_of($sk5) = head_of($sk4) | $sk5 = $sk4 | ~precedes($sk5,$sk4,X) | ~shortest_path(Y,Z,X)), 0.17/0.42 inference(resolution,[],['31','36'])). 0.17/0.42 cnf('38', plain, (tail_of($sk5) = head_of($sk4) | $sk5 = $sk4), 0.17/0.42 inference(resolution,[then_simplify],['37','5','6'])). 0.17/0.42 cnf('39', plain, (head_of($sk4) = tail_of($sk6) | $sk5 = $sk4), 0.17/0.42 inference(paramodulation,[],['38','31'])). 0.17/0.42 cnf('40', plain, (head_of($sk4) = tail_of($sk5) | $sk5 = $sk4), 0.17/0.42 inference(paramodulation,[],['31','39'])). 0.17/0.42 cnf('41', plain, ($sk5 = $sk4), 0.17/0.42 inference(resolution,[then_simplify],['40','8','28','30','17'])). 0.17/0.42 cnf('42', plain, (~precedes($sk4,$sk5,$sk1)), 0.17/0.42 inference(resolution,[],['22','5'])). 0.17/0.42 cnf('43', plain, (~precedes($sk5,$sk5,$sk1)), 0.17/0.42 inference(paramodulation,[],['41','42'])). 0.17/0.42 cnf('44', plain, ($false), 0.17/0.42 inference(paramodulation,[then_simplify],['41','5','43'])). 0.17/0.42 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.17/0.42 0.17/0.42 run 6 fork 5 statistics: 0.17/0.42 ---------------------------------- 0.17/0.42 this run seconds: 0.006311 0.17/0.42 stat_given_used: 168 0.17/0.42 stat_given_used_at_endgame: 0 0.17/0.42 stat_given_candidates: 259 0.17/0.42 stat_given_candidates_at_endgame: 0 0.17/0.42 stat_given_candidates_h: 0 0.17/0.42 stat_binres_derived_cl: 146 0.17/0.42 stat_binres_derived_cl_h: 0 0.17/0.42 stat_factor_derived_cl: 45 0.17/0.42 stat_para_derived_cl: 267 0.17/0.42 stat_tautologies_discarded: 4 0.17/0.42 stat_forward_subsumed: 84 0.17/0.42 stat_derived_cut: 38 0.17/0.42 stat_derived_rewritten: 0 0.17/0.42 stat_weight_discarded_building: 0 0.17/0.42 stat_weight_discarded_cl: 0 0.17/0.42 stat_internlimit_discarded_cl: 0 0.17/0.42 stat_simplified: 0 simplified 0 derived 0 given 0.17/0.42 stat_kept_cl: 330 0.17/0.42 stat_built_cl: 666 0.17/0.42 stat_hyperres_partial_cl: 0 0.17/0.42 stat_made_rewriters: 2 0.17/0.42 stat_backward_subsumed: 0 0.17/0.42 stat_propagated_subsumed: 0 0.17/0.42 stat_clsubs_attempted: 478 0.17/0.42 stat_clsubs_fact_groundunit_found: 9 0.17/0.42 stat_clsubs_rule_groundunit_found: 16 0.17/0.42 stat_clsubs_top_meta_attempted: 12854 0.17/0.42 stat_clsubs_top_meta_failed: 12376 0.17/0.42 stat_clsubs_top_meta_nonpref_attempted: 12854 0.17/0.42 stat_clsubs_top_meta_nonpref_succeeded: 4818 0.17/0.42 stat_clsubs_top_meta_pref_attempted: 4818 0.17/0.42 stat_clsubs_top_meta_pref1_succeeded: 575 0.17/0.42 stat_clsubs_top_meta_pref2_succeeded: 496 0.17/0.42 stat_clsubs_top_meta_pref3_succeeded: 478 0.17/0.42 stat_clsubs_top_meta_pref_succeeded: 478 0.17/0.42 stat_clsubs_meta_attempted: 1448 0.17/0.42 stat_clsubs_meta_failed: 624 0.17/0.42 stat_clsubs_predsymbs_attempted: 0 0.17/0.42 stat_clsubs_unit_attempted: 160 0.17/0.42 stat_clsubs_full_attempted: 318 0.17/0.42 stat_forwardsubs_attempted: 415 0.17/0.42 stat_lit_hash_added: 89 0.17/0.42 stat_lit_hash_computed: 2208 0.17/0.42 stat_lit_hash_match_found: 155 0.17/0.42 stat_lit_hash_match_miss: 3762 0.17/0.42 stat_lit_hash_cut_ok: 46 0.17/0.42 stat_lit_strong_cut_ok: 6 0.17/0.42 stat_lit_hash_subsume_ok: 84 0.17/0.42 clqueue els 10000000 used 1 0.17/0.42 clactive els 10000000 used 169 0.17/0.42 clactivesubsume els 10000000 used 799 0.17/0.42 queue_termbuf els 200000000 used 21895 0.17/0.42 hyper_termbuf els 100000000 used 1 0.17/0.42 active_termbuf els 100000000 used 6437 0.17/0.42 varstack els 5000 last used 1 0.17/0.42 given_termbuf els 10000000 last used 1 0.17/0.42 simplified_termbuf els 10000000 last used 1 0.17/0.42 derived_termbuf els 10000000 last used 24 0.17/0.42 wr_mallocs: 1391 0.17/0.42 wr_callocs: 19 0.17/0.42 wr_reallocs: 12 0.17/0.42 wr_frees: 2 0.17/0.42 wr_malloc_bytes: 4162628068 0.17/0.42 wr_calloc_bytes: 96065504 0.17/0.42 wr_realloc_bytes: 3472 0.17/0.42 wr_realloc_freebytes: 0 0.17/0.42 ---------------------------------- 0.17/0.42 0.17/0.42 rgenloop processing proof found by wr_paramodulate_from_all_active 0.17/0.44 EOF