TSTP Solution File: LCL524+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL524+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:39:37 EDT 2023
% Result : Theorem 38.27s 5.38s
% Output : CNFRefutation 38.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL524+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 19:25:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.39
% 0.20/0.39 input clause set summed statistics:
% 0.20/0.39 ----------------------------------
% 0.20/0.39 in_clause_count: 140
% 0.20/0.39 in_rule_clause_count: 140
% 0.20/0.39 in_fact_clause_count: 0
% 0.20/0.39 in_answer_clause_count: 0
% 0.20/0.39 in_ground_clause_count: 82
% 0.20/0.39 in_unit_clause_count: 24
% 0.20/0.39 in_horn_clause_count: 131
% 0.20/0.39 in_pos_clause_count: 32
% 0.20/0.39 in_neg_clause_count: 1
% 0.20/0.39 in_poseq_clause_count: 11
% 0.20/0.39 in_negeq_clause_count: 2
% 0.20/0.39 in_unitposeq_clause_count: 0
% 0.20/0.39 in_chain_clause_count: 0
% 0.20/0.39 in_min_length: 1
% 0.20/0.39 in_max_length: 4
% 0.20/0.39 in_min_depth: 1
% 0.20/0.39 in_max_depth: 5
% 0.20/0.39 in_min_size: 2
% 0.20/0.39 in_max_size: 17
% 0.20/0.39 in_min_vars: 0
% 0.20/0.39 in_max_vars: 3
% 0.20/0.39 in_extaxiom_count: 139
% 0.20/0.39 in_axiom_count: 0
% 0.20/0.39 in_assumption_count: 0
% 0.20/0.39 in_goal_count: 1
% 0.20/0.39 in_neg_goal_count: 1
% 0.20/0.39 in_pos_goal_count: 0
% 0.20/0.39 in_posunit_goal_count: 0
% 0.20/0.39
% 0.20/0.39 auto guide:
% 0.20/0.39 -----------
% 0.20/0.39 {
% 0.20/0.39 "print":1,
% 0.20/0.39 "print_level": 15,
% 0.20/0.39 "max_size": 0,
% 0.20/0.39 "max_depth": 0,
% 0.20/0.39 "max_length": 0,
% 0.20/0.39 "max_dseconds": 0,
% 0.20/0.39 "runs":[
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.20/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.39 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.20/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.20/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.39 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "sine":1},
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% 12.93/2.08
% 12.93/2.08 **** run 110 fork 5 starts with strategy
% 12.93/2.08 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 12.93/2.08
% 12.93/2.08 **** run 109 fork 4 starts with strategy
% 12.93/2.08 {"max_dseconds":1,"strategy":["query_focus","posunitpara"],"query_preference":1,"depth_penalty":50,"length_penalty":100}
% 13.38/2.10
% 13.38/2.10
% 13.38/2.10 fork 1: search terminated without proof.
% 13.38/2.10
% 13.38/2.10
% 13.38/2.10 fork 0: search terminated without proof.
% 13.38/2.12
% 13.38/2.12 **** run 106 fork 1 starts with strategy
% 13.38/2.12 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 13.38/2.13
% 13.38/2.13 **** run 121 fork 0 starts with strategy
% 13.38/2.13 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 13.96/2.17
% 13.96/2.17
% 13.96/2.17 fork 6: search terminated without proof.
% 13.96/2.19
% 13.96/2.19 **** run 119 fork 6 starts with strategy
% 13.96/2.19 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 14.30/2.21
% 14.30/2.21
% 14.30/2.21 fork 5: search terminated without proof.
% 14.30/2.21
% 14.30/2.21
% 14.30/2.21 fork 4: search terminated without proof.
% 14.30/2.23
% 14.30/2.23 **** run 118 fork 5 starts with strategy
% 14.30/2.23
% 14.30/2.23 **** run 117 fork 4 starts with strategy
% 14.30/2.23 {"max_dseconds":10,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 14.30/2.23 {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 14.58/2.25
% 14.58/2.25
% 14.58/2.25 fork 1: search terminated without proof.
% 14.58/2.26
% 14.58/2.26 fork 5: search finished without proof.
% 14.58/2.27
% 14.58/2.27 fork 4: search finished without proof.
% 14.58/2.27
% 14.58/2.27 **** run 114 fork 1 starts with strategy
% 14.58/2.27 {"sine":2,"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 14.58/2.28
% 14.58/2.28 **** run 126 fork 5 starts with strategy
% 14.58/2.28 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 14.58/2.28
% 14.58/2.28 **** run 125 fork 4 starts with strategy
% 14.58/2.28 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 14.58/2.30
% 14.58/2.30 fork 1: search finished without proof.
% 14.58/2.32
% 14.58/2.32 **** run 122 fork 1 starts with strategy
% 14.58/2.32 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 19.54/2.90
% 19.54/2.90
% 19.54/2.90 fork 3: search terminated without proof.
% 19.54/2.92
% 19.54/2.92 **** run 132 fork 3 starts with strategy
% 19.54/2.92 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 20.33/3.03
% 20.33/3.03
% 20.33/3.03 fork 2: search terminated without proof.
% 20.33/3.07
% 20.33/3.07 **** run 123 fork 2 starts with strategy
% 20.33/3.07 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 20.33/3.08
% 20.33/3.08
% 20.33/3.08 fork 7: search terminated without proof.
% 21.05/3.10
% 21.05/3.10 **** run 128 fork 7 starts with strategy
% 21.05/3.10 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 22.02/3.19
% 22.02/3.19
% 22.02/3.19 fork 0: search terminated without proof.
% 22.02/3.21
% 22.02/3.21 **** run 129 fork 0 starts with strategy
% 22.02/3.21 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 22.02/3.21
% 22.02/3.21
% 22.02/3.21 fork 6: search terminated without proof.
% 22.02/3.26
% 22.02/3.26 **** run 127 fork 6 starts with strategy
% 22.02/3.26 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 23.14/3.33
% 23.14/3.33
% 23.14/3.33 fork 4: search terminated without proof.
% 23.14/3.34
% 23.14/3.34
% 23.14/3.34 fork 1: search terminated without proof.
% 23.14/3.35
% 23.14/3.35
% 23.14/3.35 fork 5: search terminated without proof.
% 23.14/3.35
% 23.14/3.35 **** run 133 fork 4 starts with strategy
% 23.14/3.35 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 23.14/3.38
% 23.14/3.38 **** run 134 fork 5 starts with strategy
% 23.14/3.38 {"max_dseconds":10,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 23.14/3.38
% 23.14/3.38 **** run 130 fork 1 starts with strategy
% 23.14/3.38 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 23.14/3.41
% 23.14/3.41 fork 5: search finished without proof.
% 23.83/3.42
% 23.83/3.42 **** run 142 fork 5 starts with strategy
% 23.83/3.42 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 27.66/3.99
% 27.66/3.99
% 27.66/3.99 fork 3: search terminated without proof.
% 28.39/4.01
% 28.39/4.01 **** run 140 fork 3 starts with strategy
% 28.39/4.01 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":1}
% 28.39/4.04
% 28.39/4.04 fork 3: search finished without proof.
% 28.39/4.06
% 28.39/4.06 **** run 148 fork 3 starts with strategy
% 28.39/4.06 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100}
% 29.09/4.10
% 29.09/4.10
% 29.09/4.10 fork 2: search terminated without proof.
% 29.09/4.12
% 29.09/4.12 **** run 131 fork 2 starts with strategy
% 29.09/4.12 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 29.85/4.19
% 29.85/4.19
% 29.85/4.19 fork 7: search terminated without proof.
% 29.94/4.22
% 29.94/4.22 **** run 136 fork 7 starts with strategy
% 29.94/4.22 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 29.94/4.25
% 29.94/4.25
% 29.94/4.25 fork 0: search terminated without proof.
% 29.94/4.26
% 29.94/4.26 fork 7: search finished without proof.
% 30.41/4.28
% 30.41/4.28 **** run 144 fork 7 starts with strategy
% 30.41/4.28 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 30.41/4.28
% 30.41/4.28 **** run 137 fork 0 starts with strategy
% 30.41/4.28 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 30.55/4.35
% 30.55/4.35
% 30.55/4.35 fork 6: search terminated without proof.
% 31.23/4.38
% 31.23/4.38 **** run 135 fork 6 starts with strategy
% 31.23/4.38 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 31.23/4.38
% 31.23/4.38
% 31.23/4.38 fork 4: search terminated without proof.
% 31.56/4.41
% 31.56/4.41 **** run 141 fork 4 starts with strategy
% 31.56/4.41 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 31.64/4.45
% 31.64/4.45
% 31.64/4.45 fork 5: search terminated without proof.
% 31.64/4.45
% 31.64/4.45
% 31.64/4.45 fork 1: search terminated without proof.
% 31.64/4.47
% 31.64/4.47 **** run 138 fork 1 starts with strategy
% 31.64/4.47 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 31.64/4.48
% 31.64/4.48 **** run 150 fork 5 starts with strategy
% 31.64/4.48 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 32.33/4.51
% 32.33/4.51 fork 5: search finished without proof.
% 32.33/4.53
% 32.33/4.53 **** run 158 fork 5 starts with strategy
% 32.33/4.53 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 36.36/5.09
% 36.36/5.09
% 36.36/5.09 fork 3: search terminated without proof.
% 36.36/5.11
% 36.36/5.11 **** run 156 fork 3 starts with strategy
% 36.36/5.11 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 37.09/5.18
% 37.09/5.18
% 37.09/5.18 fork 2: search terminated without proof.
% 37.09/5.21
% 37.09/5.21 **** run 139 fork 2 starts with strategy
% 37.09/5.21 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"sine":2}
% 37.62/5.24
% 37.62/5.24 fork 2: search finished without proof.
% 37.62/5.26
% 37.62/5.26 **** run 147 fork 2 starts with strategy
% 37.62/5.26 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 37.85/5.31
% 37.85/5.31
% 37.85/5.31 fork 0: search terminated without proof.
% 37.85/5.33
% 37.85/5.33 **** run 145 fork 0 starts with strategy
% 37.85/5.33 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 38.27/5.34
% 38.27/5.34 fork 2: search finished without proof.
% 38.27/5.36
% 38.27/5.36 **** run 155 fork 2 starts with strategy
% 38.27/5.36 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 38.27/5.38
% 38.27/5.38
% 38.27/5.38 result: proof found
% 38.27/5.38 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.27/5.38 by run 144 fork 7 strategy {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 38.27/5.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.27/5.38
% 38.27/5.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.27/5.38 fof('$inc_op_possibly_$sk', plain, ((possibly(X1) = not(necessarily(not(X1)))) | ~op_possibly),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_op_possibly'])).
% 38.27/5.38 fof('$inc_op_possibly', axiom, (op_possibly => (! [X] : (possibly(X) = not(necessarily(not(X)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_km5_op_possibly', axiom, op_possibly,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 38.27/5.38 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_modus_ponens_$sk', plain, ((~modus_ponens | (is_a_theorem(X2) | (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens | (~is_a_theorem($sk94) & (is_a_theorem(implies($sk93,$sk94)) & is_a_theorem($sk93))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 38.27/5.38 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_and_3_$sk', plain, ((~and_3 | is_a_theorem(implies(X2,implies(X1,and(X2,X1))))) & (and_3 | ~is_a_theorem(implies($sk77,implies($sk76,and($sk77,$sk76)))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 38.27/5.38 fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_and_3', axiom, and_3,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 38.27/5.38 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_op_or', axiom, op_or,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 38.27/5.38 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_op_implies_and', axiom, op_implies_and,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_cn3_$sk', plain, ((~cn3 | is_a_theorem(implies(implies(not(X1),X1),X1))) & (cn3 | ~is_a_theorem(implies(implies(not($sk51),$sk51),$sk51)))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_cn3'])).
% 38.27/5.38 fof('$inc_cn3', axiom, (cn3 <=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_or_3_$sk', plain, ((~or_3 | is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X2),implies(or(X3,X1),X2))))) & (or_3 | ~is_a_theorem(implies(implies($sk71,$sk70),implies(implies($sk69,$sk70),implies(or($sk71,$sk69),$sk70)))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_or_3'])).
% 38.27/5.38 fof('$inc_or_3', axiom, (or_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_or_3', axiom, or_3,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_implies_2_$sk', plain, ((~implies_2 | is_a_theorem(implies(implies(X2,implies(X2,X1)),implies(X2,X1)))) & (implies_2 | ~is_a_theorem(implies(implies($sk86,implies($sk86,$sk85)),implies($sk86,$sk85))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 38.27/5.38 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_implies_2', axiom, implies_2,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_implies_1_$sk', plain, ((~implies_1 | is_a_theorem(implies(X2,implies(X1,X2)))) & (implies_1 | ~is_a_theorem(implies($sk88,implies($sk87,$sk88))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 38.27/5.38 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_implies_1', axiom, implies_1,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_cn2_$sk', plain, ((~cn2 | is_a_theorem(implies(X2,implies(not(X2),X1)))) & (cn2 | ~is_a_theorem(implies($sk53,implies(not($sk53),$sk52))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_cn2'])).
% 38.27/5.38 fof('$inc_cn2', axiom, (cn2 <=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_or_1_$sk', plain, ((~or_1 | is_a_theorem(implies(X2,or(X2,X1)))) & (or_1 | ~is_a_theorem(implies($sk75,or($sk75,$sk74))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_or_1'])).
% 38.27/5.38 fof('$inc_or_1', axiom, (or_1 <=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_or_1', axiom, or_1,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_substitution_of_equivalents_$sk', plain, ((~substitution_of_equivalents | ((X2 = X1) | ~is_a_theorem(equiv(X2,X1)))) & (substitution_of_equivalents | (~($sk92 = $sk91) & is_a_theorem(equiv($sk92,$sk91))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 38.27/5.38 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_implies_3_$sk', plain, ((~implies_3 | is_a_theorem(implies(implies(X3,X2),implies(implies(X2,X1),implies(X3,X1))))) & (implies_3 | ~is_a_theorem(implies(implies($sk84,$sk83),implies(implies($sk83,$sk82),implies($sk84,$sk82)))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_implies_3'])).
% 38.27/5.38 fof('$inc_implies_3', axiom, (implies_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_implies_3', axiom, implies_3,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_and_1_$sk', plain, ((~and_1 | is_a_theorem(implies(and(X2,X1),X2))) & (and_1 | ~is_a_theorem(implies(and($sk81,$sk80),$sk81)))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_and_1'])).
% 38.27/5.38 fof('$inc_and_1', axiom, (and_1 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_and_1', axiom, and_1,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_axiom_K_$sk', plain, ((~axiom_K | is_a_theorem(implies(necessarily(implies(X2,X1)),implies(necessarily(X2),necessarily(X1))))) & (axiom_K | ~is_a_theorem(implies(necessarily(implies($sk32,$sk31)),implies(necessarily($sk32),necessarily($sk31)))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_axiom_K'])).
% 38.27/5.38 fof('$inc_axiom_K', axiom, (axiom_K <=> (! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_km5_axiom_K', axiom, axiom_K,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 38.27/5.38 fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_km5_necessitation', axiom, necessitation,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 38.27/5.38 fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_km5_axiom_M', axiom, axiom_M,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_modus_tollens_$sk', plain, ((~modus_tollens | is_a_theorem(implies(implies(not(X2),not(X1)),implies(X1,X2)))) & (modus_tollens | ~is_a_theorem(implies(implies(not($sk90),not($sk89)),implies($sk89,$sk90))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_modus_tollens'])).
% 38.27/5.38 fof('$inc_modus_tollens', axiom, (modus_tollens <=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_hilbert_modus_tollens', axiom, modus_tollens,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_axiom_5_$sk', plain, ((~axiom_5 | is_a_theorem(implies(possibly(X1),necessarily(possibly(X1))))) & (axiom_5 | ~is_a_theorem(implies(possibly($sk27),necessarily(possibly($sk27)))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_axiom_5'])).
% 38.27/5.38 fof('$inc_axiom_5', axiom, (axiom_5 <=> (! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_km5_axiom_5', axiom, axiom_5,
% 38.27/5.38 input).
% 38.27/5.38 fof('$inc_axiom_B_$sk', plain, ((~axiom_B | is_a_theorem(implies(X1,necessarily(possibly(X1))))) & (axiom_B | ~is_a_theorem(implies($sk28,necessarily(possibly($sk28)))))),
% 38.27/5.38 inference(negpush_and_skolemize,[],['$inc_axiom_B'])).
% 38.27/5.38 fof('$inc_axiom_B', axiom, (axiom_B <=> (! [X] : is_a_theorem(implies(X,necessarily(possibly(X)))))),
% 38.27/5.38 input).
% 38.27/5.38 fof('km4b_axiom_B_$sk', plain, ~axiom_B,
% 38.27/5.38 inference(negpush_and_skolemize,[],['km4b_axiom_B'])).
% 38.27/5.38 fof('km4b_axiom_B', conjecture, axiom_B,
% 38.27/5.38 input).
% 38.27/5.38 cnf('1', plain, (~$pr(op_possibly) | possibly(X0) = not(necessarily(not(X0)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_op_possibly_$sk'])).
% 38.27/5.38 cnf('2', plain, ($pr(op_possibly)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_km5_op_possibly'])).
% 38.27/5.38 cnf('3', plain, (possibly(X) = not(necessarily(not(X)))),
% 38.27/5.38 inference(simplify,[],['1','2'])).
% 38.27/5.38 cnf('4', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 38.27/5.38 cnf('5', plain, ($pr(op_equiv)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 38.27/5.38 cnf('6', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 38.27/5.38 inference(simplify,[],['4','5'])).
% 38.27/5.38 cnf('7', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 38.27/5.38 cnf('8', plain, ($pr(modus_ponens)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 38.27/5.38 cnf('9', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 38.27/5.38 inference(simplify,[],['7','8'])).
% 38.27/5.38 cnf('10', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 38.27/5.38 cnf('11', plain, ($pr(and_3)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 38.27/5.38 cnf('12', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 38.27/5.38 inference(simplify,[],['10','11'])).
% 38.27/5.38 cnf('13', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 38.27/5.38 inference(resolution,[],['9','12'])).
% 38.27/5.38 cnf('14', plain, (is_a_theorem(and(X,Y)) | ~is_a_theorem(Y) | ~is_a_theorem(X)),
% 38.27/5.38 inference(resolution,[],['13','9'])).
% 38.27/5.38 cnf('15', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Y,X)) | is_a_theorem(equiv(Y,X))),
% 38.27/5.38 inference(paramodulation,[],['6','14'])).
% 38.27/5.38 cnf('16', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 38.27/5.38 cnf('17', plain, ($pr(op_or)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_op_or'])).
% 38.27/5.38 cnf('18', plain, (or(X,Y) = not(and(not(X),not(Y)))),
% 38.27/5.38 inference(simplify,[],['16','17'])).
% 38.27/5.38 cnf('19', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 38.27/5.38 cnf('20', plain, ($pr(op_implies_and)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_op_implies_and'])).
% 38.27/5.38 cnf('21', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 38.27/5.38 inference(simplify,[],['19','20'])).
% 38.27/5.38 cnf('22', plain, (implies(not(X),Y) = or(X,Y)),
% 38.27/5.38 inference(paramodulation,[],['18','21'])).
% 38.27/5.38 cnf('23', plain, (~$pr(cn3) | is_a_theorem(implies(implies(not(X),X),X))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_cn3_$sk'])).
% 38.27/5.38 cnf('24', plain, (~$pr(cn3) | is_a_theorem(implies(or(X3,X3),X3))),
% 38.27/5.38 inference(paramodulation,[],['22','23'])).
% 38.27/5.38 cnf('25', plain, (~$pr(or_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_or_3_$sk'])).
% 38.27/5.38 cnf('26', plain, ($pr(or_3)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_or_3'])).
% 38.27/5.38 cnf('27', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,Y),implies(or(X,Z),Y))))),
% 38.27/5.38 inference(simplify,[],['25','26'])).
% 38.27/5.38 cnf('28', plain, (~$pr(implies_2) | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 38.27/5.38 cnf('29', plain, ($pr(implies_2)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_implies_2'])).
% 38.27/5.38 cnf('30', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 38.27/5.38 inference(simplify,[],['28','29'])).
% 38.27/5.38 cnf('31', plain, (~is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y))),
% 38.27/5.38 inference(resolution,[],['30','9'])).
% 38.27/5.38 cnf('32', plain, (is_a_theorem(implies(implies(X,Y),implies(or(X,X),Y)))),
% 38.27/5.38 inference(resolution,[],['27','31'])).
% 38.27/5.38 cnf('33', plain, (is_a_theorem(implies(or(X,X),Y)) | ~is_a_theorem(implies(X,Y))),
% 38.27/5.38 inference(resolution,[],['32','9'])).
% 38.27/5.38 cnf('34', plain, (~is_a_theorem(implies(implies(not($sk51),$sk51),$sk51)) | $pr(cn3)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_cn3_$sk'])).
% 38.27/5.38 cnf('35', plain, (~is_a_theorem(implies(or($sk51,$sk51),$sk51)) | $pr(cn3)),
% 38.27/5.38 inference(paramodulation,[],['22','34'])).
% 38.27/5.38 cnf('36', plain, (~$pr(implies_1) | is_a_theorem(implies(X0,implies(X1,X0)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 38.27/5.38 cnf('37', plain, ($pr(implies_1)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_implies_1'])).
% 38.27/5.38 cnf('38', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 38.27/5.38 inference(simplify,[],['36','37'])).
% 38.27/5.38 cnf('39', plain, (is_a_theorem(implies(X3,X3))),
% 38.27/5.38 inference(resolution,[],['31','38'])).
% 38.27/5.38 cnf('40', plain, ($pr(cn3)),
% 38.27/5.38 inference(resolution,[then_simplify],['33','35','39'])).
% 38.27/5.38 cnf('41', plain, (is_a_theorem(implies(or(X,X),X))),
% 38.27/5.38 inference(simplify,[],['24','40'])).
% 38.27/5.38 cnf('42', plain, (or(X,Y) = implies(not(X),Y)),
% 38.27/5.38 inference(paramodulation,[],['21','18'])).
% 38.27/5.38 cnf('43', plain, (~$pr(cn2) | is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_cn2_$sk'])).
% 38.27/5.38 cnf('44', plain, (~is_a_theorem(implies($sk53,implies(not($sk53),$sk52))) | $pr(cn2)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_cn2_$sk'])).
% 38.27/5.38 cnf('45', plain, (~is_a_theorem(implies($sk53,or($sk53,$sk52))) | $pr(cn2)),
% 38.27/5.38 inference(paramodulation,[],['22','44'])).
% 38.27/5.38 cnf('46', plain, (~$pr(or_1) | is_a_theorem(implies(X0,or(X0,X1)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_or_1_$sk'])).
% 38.27/5.38 cnf('47', plain, ($pr(or_1)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_or_1'])).
% 38.27/5.38 cnf('48', plain, (is_a_theorem(implies(X,or(X,Y)))),
% 38.27/5.38 inference(simplify,[],['46','47'])).
% 38.27/5.38 cnf('49', plain, ($pr(cn2)),
% 38.27/5.38 inference(resolution,[],['45','48'])).
% 38.27/5.38 cnf('50', plain, (is_a_theorem(implies(X,implies(not(X),Y)))),
% 38.27/5.38 inference(simplify,[],['43','49'])).
% 38.27/5.38 cnf('51', plain, (is_a_theorem(implies(X3,or(X3,Y3)))),
% 38.27/5.38 inference(paramodulation,[],['42','50'])).
% 38.27/5.38 cnf('52', plain, (is_a_theorem(equiv(X,or(X,X)))),
% 38.27/5.38 inference(resolution,[then_simplify],['15','41','51'])).
% 38.27/5.38 cnf('53', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 38.27/5.38 cnf('54', plain, ($pr(substitution_of_equivalents)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 38.27/5.38 cnf('55', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 38.27/5.38 inference(simplify,[],['53','54'])).
% 38.27/5.38 cnf('56', plain, (X = or(X,X)),
% 38.27/5.38 inference(resolution,[],['52','55'])).
% 38.27/5.38 cnf('57', plain, (X = implies(not(X),X)),
% 38.27/5.38 inference(paramodulation,[],['56','42'])).
% 38.27/5.38 cnf('58', plain, (or(X,X) = X),
% 38.27/5.38 inference(paramodulation,[],['57','42'])).
% 38.27/5.38 cnf('59', plain, (is_a_theorem(implies(X,and(X,X)))),
% 38.27/5.38 inference(resolution,[],['31','12'])).
% 38.27/5.38 cnf('60', plain, (~$pr(implies_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_implies_3_$sk'])).
% 38.27/5.38 cnf('61', plain, ($pr(implies_3)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_implies_3'])).
% 38.27/5.38 cnf('62', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 38.27/5.38 inference(simplify,[],['60','61'])).
% 38.27/5.38 cnf('63', plain, (is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | ~is_a_theorem(implies(Z,X))),
% 38.27/5.38 inference(resolution,[],['62','9'])).
% 38.27/5.38 cnf('64', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Z,X)) | is_a_theorem(implies(Z,Y))),
% 38.27/5.38 inference(resolution,[],['63','9'])).
% 38.27/5.38 cnf('65', plain, (~$pr(and_1) | is_a_theorem(implies(and(X0,X1),X0))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_and_1_$sk'])).
% 38.27/5.38 cnf('66', plain, ($pr(and_1)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_and_1'])).
% 38.27/5.38 cnf('67', plain, (is_a_theorem(implies(and(X,Y),X))),
% 38.27/5.38 inference(simplify,[],['65','66'])).
% 38.27/5.38 cnf('68', plain, (~is_a_theorem(implies(X,and(Y,Z))) | is_a_theorem(implies(X,Y))),
% 38.27/5.38 inference(resolution,[],['64','67'])).
% 38.27/5.38 cnf('69', plain, (is_a_theorem(implies(X,X))),
% 38.27/5.38 inference(resolution,[],['31','38'])).
% 38.27/5.38 cnf('70', plain, (is_a_theorem(implies(and(X3,Y3),X3))),
% 38.27/5.38 inference(resolution,[],['68','69'])).
% 38.27/5.38 cnf('71', plain, (is_a_theorem(equiv(and(X,X),X))),
% 38.27/5.38 inference(resolution,[then_simplify],['15','59','70'])).
% 38.27/5.38 cnf('72', plain, (and(X,X) = X),
% 38.27/5.38 inference(resolution,[],['71','55'])).
% 38.27/5.38 cnf('73', plain, (is_a_theorem(or(X,not(X)))),
% 38.27/5.38 inference(paramodulation,[],['22','69'])).
% 38.27/5.38 cnf('74', plain, (is_a_theorem(or(and(not(X),not(Y)),or(X,Y)))),
% 38.27/5.38 inference(paramodulation,[],['18','73'])).
% 38.27/5.38 cnf('75', plain, (is_a_theorem(or(not(X),or(X,X)))),
% 38.27/5.38 inference(paramodulation,[],['72','74'])).
% 38.27/5.38 cnf('76', plain, (is_a_theorem(or(not(X),X))),
% 38.27/5.38 inference(paramodulation,[],['58','75'])).
% 38.27/5.38 cnf('77', plain, (~$pr(axiom_K) | is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_axiom_K_$sk'])).
% 38.27/5.38 cnf('78', plain, ($pr(axiom_K)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_km5_axiom_K'])).
% 38.27/5.38 cnf('79', plain, (is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y))))),
% 38.27/5.38 inference(simplify,[],['77','78'])).
% 38.27/5.38 cnf('80', plain, (is_a_theorem(implies(necessarily(X),necessarily(Y))) | ~is_a_theorem(necessarily(implies(X,Y)))),
% 38.27/5.38 inference(resolution,[],['79','9'])).
% 38.27/5.38 cnf('81', plain, (~is_a_theorem(necessarily(implies(X,Y))) | ~is_a_theorem(necessarily(X)) | is_a_theorem(necessarily(Y))),
% 38.27/5.38 inference(resolution,[],['80','9'])).
% 38.27/5.38 cnf('82', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 38.27/5.38 cnf('83', plain, ($pr(necessitation)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_km5_necessitation'])).
% 38.27/5.38 cnf('84', plain, (is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 38.27/5.38 inference(simplify,[],['82','83'])).
% 38.27/5.38 cnf('85', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(necessarily(Y))),
% 38.27/5.38 inference(resolution,[],['81','84'])).
% 38.27/5.38 cnf('86', plain, (is_a_theorem(necessarily(implies(X,Y))) | ~is_a_theorem(necessarily(Y))),
% 38.27/5.38 inference(resolution,[],['85','38'])).
% 38.27/5.38 cnf('87', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 38.27/5.38 cnf('88', plain, ($pr(axiom_M)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_km5_axiom_M'])).
% 38.27/5.38 cnf('89', plain, (is_a_theorem(implies(necessarily(X),X))),
% 38.27/5.38 inference(simplify,[],['87','88'])).
% 38.27/5.38 cnf('90', plain, (~is_a_theorem(necessarily(X)) | is_a_theorem(X)),
% 38.27/5.38 inference(resolution,[],['9','89'])).
% 38.27/5.38 cnf('91', plain, (is_a_theorem(implies(X,Y)) | ~is_a_theorem(necessarily(Y))),
% 38.27/5.38 inference(resolution,[],['86','90'])).
% 38.27/5.38 cnf('92', plain, (~is_a_theorem(or(X,Y)) | ~is_a_theorem(not(X)) | is_a_theorem(Y)),
% 38.27/5.38 inference(paramodulation,[],['22','9'])).
% 38.27/5.38 cnf('93', plain, (~is_a_theorem(not(and(not(X),not(Y)))) | is_a_theorem(or(X,Y))),
% 38.27/5.38 inference(resolution,[],['74','92'])).
% 38.27/5.38 cnf('94', plain, (~is_a_theorem(implies(not(X),Y)) | is_a_theorem(or(X,Y))),
% 38.27/5.38 inference(paramodulation,[],['21','93'])).
% 38.27/5.38 cnf('95', plain, (is_a_theorem(or(X,Y)) | ~is_a_theorem(necessarily(Y))),
% 38.27/5.38 inference(resolution,[],['91','94'])).
% 38.27/5.38 cnf('96', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(or(X,X)) | is_a_theorem(Y)),
% 38.27/5.38 inference(resolution,[],['33','9'])).
% 38.27/5.38 cnf('97', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(Y)),
% 38.27/5.38 inference(resolution,[],['95','96'])).
% 38.27/5.38 cnf('98', plain, (~$pr(modus_tollens) | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_modus_tollens_$sk'])).
% 38.27/5.38 cnf('99', plain, ($pr(modus_tollens)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_hilbert_modus_tollens'])).
% 38.27/5.38 cnf('100', plain, (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))),
% 38.27/5.38 inference(simplify,[],['98','99'])).
% 38.27/5.38 cnf('101', plain, (~is_a_theorem(necessarily(implies(not(X),not(Y)))) | is_a_theorem(implies(Y,X))),
% 38.27/5.38 inference(resolution,[],['97','100'])).
% 38.27/5.38 cnf('102', plain, (is_a_theorem(implies(or(X,not(Y)),implies(Y,X)))),
% 38.27/5.38 inference(paramodulation,[],['42','100'])).
% 38.27/5.38 cnf('103', plain, (~is_a_theorem(necessarily(or(X,not(Y)))) | is_a_theorem(necessarily(implies(Y,X)))),
% 38.27/5.38 inference(resolution,[],['85','102'])).
% 38.27/5.38 cnf('104', plain, (is_a_theorem(necessarily(implies(X,Y))) | ~is_a_theorem(or(Y,not(X)))),
% 38.27/5.38 inference(resolution,[],['103','84'])).
% 38.27/5.38 cnf('105', plain, (~is_a_theorem(or(not(X),not(not(Y)))) | is_a_theorem(implies(X,Y))),
% 38.27/5.38 inference(resolution,[],['101','104'])).
% 38.27/5.38 cnf('106', plain, (is_a_theorem(implies(not(not(X)),X))),
% 38.27/5.38 inference(resolution,[],['76','105'])).
% 38.27/5.38 cnf('107', plain, (~is_a_theorem(implies(X,necessarily(Y))) | is_a_theorem(implies(X,Y))),
% 38.27/5.38 inference(resolution,[],['64','89'])).
% 38.27/5.38 cnf('108', plain, (is_a_theorem(implies(not(not(necessarily(X))),X))),
% 38.27/5.38 inference(resolution,[],['106','107'])).
% 38.27/5.38 cnf('109', plain, (is_a_theorem(or(not(necessarily(X)),X))),
% 38.27/5.38 inference(resolution,[],['108','94'])).
% 38.27/5.38 cnf('110', plain, (is_a_theorem(or(possibly(X),not(X)))),
% 38.27/5.38 inference(paramodulation,[],['3','109'])).
% 38.27/5.38 cnf('111', plain, (~is_a_theorem(or(X,not(Y))) | is_a_theorem(implies(Y,X))),
% 38.27/5.38 inference(resolution,[],['102','9'])).
% 38.27/5.38 cnf('112', plain, (~$pr(axiom_5) | is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_axiom_5_$sk'])).
% 38.27/5.38 cnf('113', plain, ($pr(axiom_5)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_km5_axiom_5'])).
% 38.27/5.38 cnf('114', plain, (is_a_theorem(implies(possibly(X),necessarily(possibly(X))))),
% 38.27/5.38 inference(simplify,[],['112','113'])).
% 38.27/5.38 cnf('115', plain, (is_a_theorem(implies(necessarily(X3),X3))),
% 38.27/5.38 inference(resolution,[],['107','69'])).
% 38.27/5.38 cnf('116', plain, (is_a_theorem(equiv(necessarily(possibly(X)),possibly(X)))),
% 38.27/5.38 inference(resolution,[then_simplify],['15','114','115'])).
% 38.27/5.38 cnf('117', plain, (necessarily(possibly(X)) = possibly(X)),
% 38.27/5.38 inference(resolution,[],['116','55'])).
% 38.27/5.38 cnf('118', plain, (~is_a_theorem(implies($sk28,necessarily(possibly($sk28)))) | $pr(axiom_B)),
% 38.27/5.38 inference(cnf_transformation,[],['$inc_axiom_B_$sk'])).
% 38.27/5.38 cnf('119', plain, (~$pr(axiom_B)),
% 38.27/5.38 inference(cnf_transformation,[],['km4b_axiom_B_$sk'])).
% 38.27/5.38 cnf('120', plain, (~is_a_theorem(implies($sk28,necessarily(possibly($sk28))))),
% 38.27/5.38 inference(simplify,[],['118','119'])).
% 38.27/5.38 cnf('121', plain, (~is_a_theorem(implies($sk28,possibly($sk28)))),
% 38.27/5.38 inference(paramodulation,[],['117','120'])).
% 38.27/5.38 cnf('122', plain, ($false),
% 38.27/5.38 inference(resolution,[then_simplify],['110','111','121'])).
% 38.27/5.38
% 38.27/5.38 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.27/5.38
% 38.27/5.38 run 144 fork 7 statistics:
% 38.27/5.38 ----------------------------------
% 38.27/5.38 this run seconds: 0.399601
% 38.27/5.38 total seconds: 4.185690
% 38.27/5.38 stat_given_used: 1585
% 38.27/5.38 stat_given_used_at_endgame: 0
% 38.27/5.38 stat_given_candidates: 7568
% 38.27/5.38 stat_given_candidates_at_endgame: 0
% 38.27/5.38 stat_given_candidates_h: 0
% 38.27/5.38 stat_binres_derived_cl: 13309
% 38.27/5.38 stat_binres_derived_cl_h: 0
% 38.27/5.38 stat_factor_derived_cl: 38
% 38.27/5.38 stat_para_derived_cl: 25158
% 38.27/5.38 stat_tautologies_discarded: 517
% 38.27/5.38 stat_forward_subsumed: 3532
% 38.27/5.38 stat_derived_cut: 667
% 38.27/5.38 stat_derived_rewritten: 0
% 38.27/5.38 stat_weight_discarded_building: 0
% 38.27/5.38 stat_weight_discarded_cl: 0
% 38.27/5.38 stat_internlimit_discarded_cl: 0
% 38.27/5.38 stat_simplified: 146 simplified 0 derived 0 given
% 38.27/5.38 stat_kept_cl: 34204
% 38.27/5.38 stat_built_cl: 37520
% 38.27/5.38 stat_hyperres_partial_cl: 0
% 38.27/5.38 stat_made_rewriters: 0
% 38.27/5.38 stat_backward_subsumed: 0
% 38.27/5.38 stat_propagated_subsumed: 0
% 38.27/5.38 stat_clsubs_attempted: 52381
% 38.27/5.38 stat_clsubs_fact_groundunit_found: 4
% 38.27/5.38 stat_clsubs_rule_groundunit_found: 30
% 38.27/5.38 stat_clsubs_top_meta_attempted: 3828755
% 38.27/5.38 stat_clsubs_top_meta_failed: 3776374
% 38.27/5.38 stat_clsubs_top_meta_nonpref_attempted: 3828755
% 38.27/5.38 stat_clsubs_top_meta_nonpref_succeeded: 668822
% 38.27/5.38 stat_clsubs_top_meta_pref_attempted: 668822
% 38.27/5.38 stat_clsubs_top_meta_pref1_succeeded: 513843
% 38.27/5.38 stat_clsubs_top_meta_pref2_succeeded: 100542
% 38.27/5.38 stat_clsubs_top_meta_pref3_succeeded: 52381
% 38.27/5.38 stat_clsubs_top_meta_pref_succeeded: 52381
% 38.27/5.38 stat_clsubs_meta_attempted: 97017
% 38.27/5.38 stat_clsubs_meta_failed: 37122
% 38.27/5.38 stat_clsubs_predsymbs_attempted: 0
% 38.27/5.38 stat_clsubs_unit_attempted: 20001
% 38.27/5.38 stat_clsubs_full_attempted: 32380
% 38.27/5.38 stat_forwardsubs_attempted: 37737
% 38.27/5.38 stat_lit_hash_added: 27672
% 38.27/5.38 stat_lit_hash_computed: 201058
% 38.27/5.38 stat_lit_hash_match_found: 4457
% 38.27/5.38 stat_lit_hash_match_miss: 258585
% 38.27/5.38 stat_lit_hash_cut_ok: 765
% 38.27/5.38 stat_lit_strong_cut_ok: 31
% 38.27/5.38 stat_lit_hash_subsume_ok: 3532
% 38.27/5.38 clqueue els 10000000 used 1
% 38.27/5.38 clactive els 10000000 used 1586
% 38.27/5.38 clactivesubsume els 10000000 used 9277
% 38.27/5.38 queue_termbuf els 200000000 used 2569445
% 38.27/5.38 hyper_termbuf els 100000000 used 1
% 38.27/5.38 active_termbuf els 100000000 used 70178
% 38.27/5.38 varstack els 5000 last used 1
% 38.27/5.38 given_termbuf els 10000000 last used 1
% 38.27/5.38 simplified_termbuf els 10000000 last used 1
% 38.27/5.38 derived_termbuf els 10000000 last used 34
% 38.27/5.38 wr_mallocs: 17273
% 38.27/5.38 wr_callocs: 21
% 38.27/5.38 wr_reallocs: 5525
% 38.27/5.38 wr_frees: 4
% 38.27/5.38 wr_malloc_bytes: 4163240580
% 38.27/5.38 wr_calloc_bytes: 112065536
% 38.27/5.38 wr_realloc_bytes: 1846456
% 38.27/5.38 wr_realloc_freebytes: 0
% 38.27/5.38 ----------------------------------
%------------------------------------------------------------------------------