%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL533+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:08:48 PM UTC 2026
% Result : Theorem 143.16s 18.60s
% Output : CNFRefutation 143.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL533+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : gkc %s
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 06:39:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.21/0.49
% 0.21/0.49 input clause set summed statistics:
% 0.21/0.49 ----------------------------------
% 0.21/0.49 in_clause_count: 146
% 0.21/0.49 in_rule_clause_count: 146
% 0.21/0.49 in_fact_clause_count: 0
% 0.21/0.49 in_answer_clause_count: 0
% 0.21/0.49 in_ground_clause_count: 88
% 0.21/0.49 in_unit_clause_count: 30
% 0.21/0.49 in_horn_clause_count: 137
% 0.21/0.49 in_pos_clause_count: 38
% 0.21/0.49 in_neg_clause_count: 1
% 0.21/0.49 in_poseq_clause_count: 11
% 0.21/0.49 in_negeq_clause_count: 2
% 0.21/0.49 in_unitposeq_clause_count: 0
% 0.21/0.49 in_chain_clause_count: 0
% 0.21/0.49 in_min_length: 1
% 0.21/0.49 in_max_length: 4
% 0.21/0.49 in_min_depth: 1
% 0.21/0.49 in_max_depth: 5
% 0.21/0.49 in_min_size: 2
% 0.21/0.49 in_max_size: 17
% 0.21/0.49 in_min_vars: 0
% 0.21/0.49 in_max_vars: 3
% 0.21/0.49 in_extaxiom_count: 139
% 0.21/0.49 in_axiom_count: 6
% 0.21/0.49 in_assumption_count: 0
% 0.21/0.49 in_goal_count: 1
% 0.21/0.49 in_neg_goal_count: 1
% 0.21/0.49 in_pos_goal_count: 0
% 0.21/0.49 in_posunit_goal_count: 0
% 0.21/0.49
% 0.21/0.49 auto guide:
% 0.21/0.49 -----------
% 0.21/0.49 {
% 0.21/0.49 "print":1,
% 0.21/0.49 "print_level": 15,
% 0.21/0.49 "max_size": 0,
% 0.21/0.49 "max_depth": 0,
% 0.21/0.49 "max_length": 0,
% 0.21/0.49 "max_dseconds": 0,
% 0.21/0.49 "runs":[
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"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},
% 0.21/0.49 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.49 {"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},
% 0.21/0.49 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.21/0.49 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.21/0.49 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.49 {"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},
% 0.21/0.49 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"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},
% 0.21/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.21/0.49
% 0.21/0.49 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
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% 8.51/1.67 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
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% 9.29/1.71 {"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}
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% 10.91/2.06 {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":1}
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% 12.15/2.13 **** run 101 fork 4 starts with strategy
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% 12.15/2.16 **** run 64 fork 7 starts with strategy
% 12.15/2.16 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"weight_select_ratio":30,"depth_penalty":100,"length_penalty":100}
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% 20.89/3.19 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
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% 23.58/3.57 {"max_dseconds":10,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
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% 28.04/4.10 **** run 139 fork 2 starts with strategy
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% 28.04/4.13
% 28.04/4.13 **** run 135 fork 6 starts with strategy
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% 28.04/4.14
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% 28.04/4.14 **** run 134 fork 5 starts with strategy
% 28.04/4.14 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 29.12/4.21
% 29.12/4.21 **** run 138 fork 1 starts with strategy
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% 31.52/4.52 {"max_dseconds":10,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
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% 32.31/4.61 **** run 149 fork 4 starts with strategy
% 32.31/4.61 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 32.31/4.65
% 32.31/4.65 **** run 153 fork 0 starts with strategy
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% 34.71/5.04 fork 3: search terminated without proof.
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% 37.08/5.21 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 37.08/5.24
% 37.08/5.24 **** run 142 fork 5 starts with strategy
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% 37.08/5.25 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 37.85/5.30
% 37.85/5.30 **** run 155 fork 2 starts with strategy
% 37.85/5.30 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
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% 37.85/5.32 **** run 146 fork 1 starts with strategy
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% 41.87/5.85 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
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% 41.87/5.86 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
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% 45.02/6.27 **** run 156 fork 3 starts with strategy
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% 46.63/6.43
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% 46.63/6.43 fork 2: search finished without proof.
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% 46.63/6.43 **** run 158 fork 5 starts with strategy
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% 46.63/6.44 fork 6: search finished without proof.
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% 46.63/6.48 **** run 171 fork 2 starts with strategy
% 46.63/6.48 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"sine":3,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 47.44/6.51
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% 47.44/6.57 **** run 166 fork 5 starts with strategy
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% 50.63/6.96
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% 51.88/7.13 **** run 193 fork 0 starts with strategy
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% 51.88/7.15 **** run 176 fork 7 starts with strategy
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% 53.81/7.30 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 53.81/7.35
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% 54.58/7.42 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":10,"max_size":15}
% 54.58/7.47
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% 56.20/7.62 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 56.20/7.65
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% 56.20/7.65 {"weight_select_ratio":100,"query_preference":1,"strategy":["negative_pref"],"max_dseconds":10}
% 56.20/7.68
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% 60.66/8.19
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% 74.47/10.05 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2,"sine":1}
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% 80.83/10.74
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% 81.65/10.90 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":1}
% 82.43/10.91
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% 82.43/10.92
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% 82.43/11.00
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% 82.43/11.03
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% 83.74/11.09
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% 83.74/11.12
% 83.74/11.12 **** run 205 fork 4 starts with strategy
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% 85.59/11.33 **** run 243 fork 2 starts with strategy
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% 87.20/11.59 fork 7: search finished without proof.
% 87.97/11.64
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% 87.97/11.64 {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_depth":2,"max_dseconds":10}
% 87.97/11.64
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% 87.97/11.68
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% 88.79/11.73
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% 88.79/11.76
% 88.79/11.76 fork 7: search finished without proof.
% 89.58/11.82
% 89.58/11.82 **** run 232 fork 7 starts with strategy
% 89.58/11.82 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":10}
% 90.41/11.95
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% 90.41/12.02
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% 91.63/12.09
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% 91.63/12.09 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"rewrite":0}
% 91.63/12.11
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% 91.63/12.15
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% 91.63/12.15 fork 4: search terminated without proof.
% 92.49/12.19
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% 94.38/12.45
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% 94.38/12.45 {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":10}
% 94.38/12.50
% 94.38/12.50 fork 6: search finished without proof.
% 95.13/12.57
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% 96.72/12.76
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% 96.72/12.78
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% 96.72/12.78 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 97.52/12.86
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% 98.37/12.92
% 98.37/12.92 **** run 240 fork 7 starts with strategy
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% 100.70/13.22 **** run 214 fork 5 starts with strategy
% 100.70/13.22 {"max_dseconds":10,"strategy":["unit","pure_unit"],"query_preference":0}
% 100.70/13.22
% 100.70/13.22 **** run 218 fork 1 starts with strategy
% 100.70/13.22 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 100.70/13.25
% 100.70/13.25 **** run 212 fork 3 starts with strategy
% 100.70/13.25 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 100.70/13.26
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% 100.70/13.26 {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":10}
% 100.70/13.26
% 100.70/13.26 fork 5: search finished without proof.
% 100.70/13.26
% 100.70/13.26 fork 1: search finished without proof.
% 101.49/13.31
% 101.49/13.31 **** run 222 fork 5 starts with strategy
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% 101.49/13.35 fork 5: search finished without proof.
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% 101.49/13.40 **** run 230 fork 5 starts with strategy
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% 101.49/13.40
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% 102.31/13.49 **** run 238 fork 5 starts with strategy
% 102.31/13.49 {"max_dseconds":10,"strategy":["hardness_pref","posunitpara"],"query_preference":1,"sine":1}
% 102.31/13.49
% 102.31/13.49 **** run 242 fork 1 starts with strategy
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% 103.09/13.53
% 103.09/13.53 fork 5: search finished without proof.
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% 103.09/13.58 {"query_preference":1,"strategy":["unit","max_weight"],"max_dseconds":10}
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% 104.69/13.75
% 104.69/13.75 fork 6: search finished without proof.
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% 106.29/13.96
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% 106.29/13.96 fork 7: search terminated without proof.
% 106.29/14.03
% 106.29/14.03 **** run 248 fork 7 starts with strategy
% 106.29/14.03 {"sine":1,"rewrite":0,"depth_penalty":50,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":10}
% 106.29/14.06
% 106.29/14.06 fork 7: search finished without proof.
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% 107.57/14.11 **** run 256 fork 7 starts with strategy
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% 108.65/14.29 fork 4: search terminated without proof.
% 109.45/14.33
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% 109.45/14.34 **** run 229 fork 4 starts with strategy
% 109.45/14.34 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 109.45/14.37
% 109.45/14.37 fork 4: search finished without proof.
% 109.45/14.39
% 109.45/14.39 **** run 237 fork 4 starts with strategy
% 109.45/14.39 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":10}
% 110.28/14.41
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% 110.28/14.41 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 110.28/14.45
% 110.28/14.45 fork 3: search finished without proof.
% 110.28/14.50
% 110.28/14.50 **** run 228 fork 3 starts with strategy
% 110.28/14.50 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":10}
% 111.05/14.53
% 111.05/14.53
% 111.05/14.53 fork 1: search terminated without proof.
% 111.85/14.60
% 111.85/14.60 **** run 250 fork 1 starts with strategy
% 111.85/14.60 {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":10,"sine":2}
% 111.85/14.62
% 111.85/14.62
% 111.85/14.62 fork 5: search terminated without proof.
% 111.85/14.64
% 111.85/14.64 fork 1: search finished without proof.
% 111.85/14.67
% 111.85/14.67 **** run 254 fork 5 starts with strategy
% 111.85/14.67 {"max_dseconds":50,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 111.85/14.69
% 111.85/14.69 **** run 258 fork 1 starts with strategy
% 111.85/14.69 {"max_dseconds":50,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 112.68/14.71
% 112.68/14.71 fork 5: search finished without proof.
% 112.68/14.75
% 112.68/14.75 **** run 262 fork 5 starts with strategy
% 112.68/14.75 {"max_dseconds":50,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 113.43/14.87
% 113.43/14.87
% 113.43/14.87 fork 6: search terminated without proof.
% 114.24/14.95
% 114.24/14.95 **** run 247 fork 6 starts with strategy
% 114.24/14.95 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 118.22/15.43
% 118.22/15.43
% 118.22/15.43 fork 4: search terminated without proof.
% 119.00/15.51
% 119.00/15.51 **** run 245 fork 4 starts with strategy
% 119.00/15.52 {"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":10}
% 119.00/15.53
% 119.00/15.53 fork 3: search finished without proof.
% 119.00/15.57
% 119.00/15.57 **** run 236 fork 3 starts with strategy
% 119.00/15.57 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":10}
% 122.21/16.00
% 122.21/16.00
% 122.21/16.00 fork 6: search terminated without proof.
% 123.44/16.08
% 123.44/16.08 **** run 255 fork 6 starts with strategy
% 123.44/16.08 {"max_dseconds":50,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 127.00/16.60
% 127.00/16.60
% 127.00/16.60 fork 3: search terminated without proof.
% 127.75/16.60
% 127.75/16.60
% 127.75/16.60 fork 4: search terminated without proof.
% 127.75/16.65
% 127.75/16.65 **** run 244 fork 3 starts with strategy
% 127.75/16.65 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 127.75/16.67
% 127.75/16.67 **** run 253 fork 4 starts with strategy
% 127.75/16.67 {"max_dseconds":50,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 128.55/16.71
% 128.55/16.71 fork 4: search finished without proof.
% 128.55/16.75
% 128.55/16.75 **** run 261 fork 4 starts with strategy
% 128.55/16.75 {"max_dseconds":50,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 134.09/17.47
% 134.09/17.47
% 134.09/17.47 fork 2: search terminated without proof.
% 134.90/17.56
% 134.90/17.56 **** run 259 fork 2 starts with strategy
% 134.90/17.56 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 135.74/17.68
% 135.74/17.68
% 135.74/17.68 fork 3: search terminated without proof.
% 136.49/17.72
% 136.49/17.72 **** run 252 fork 3 starts with strategy
% 136.49/17.72 {"max_dseconds":50,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 136.49/17.74
% 136.49/17.74 fork 3: search finished without proof.
% 136.49/17.77
% 136.49/17.77 **** run 260 fork 3 starts with strategy
% 136.49/17.77 {"max_dseconds":50,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 137.28/17.81
% 137.28/17.81
% 137.28/17.81 fork 0: search terminated without proof.
% 137.28/17.89
% 137.28/17.89 **** run 265 fork 0 starts with strategy
% 137.28/17.89 {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1}
% 143.16/18.60
% 143.16/18.60
% 143.16/18.60 result: proof found
% 143.16/18.60 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 143.16/18.60 by run 260 fork 3 strategy {"max_dseconds":50,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 143.16/18.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 143.16/18.60
% 143.16/18.60 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 143.16/18.60 fof('$inc_op_possibly_$sk', plain, ((possibly(X1) = not(necessarily(not(X1)))) | ~op_possibly),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_op_possibly'])).
% 143.16/18.60 fof('$inc_op_possibly', axiom, (op_possibly => (! [X] : (possibly(X) = not(necessarily(not(X)))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_km5_op_possibly', axiom, op_possibly,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 143.16/18.60 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 143.16/18.60 input).
% 143.16/18.60 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))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 143.16/18.60 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 143.16/18.60 input).
% 143.16/18.60 fof('$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,$sk76)))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 143.16/18.60 fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_and_3', axiom, and_3,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 143.16/18.60 fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 143.16/18.60 fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_km5_axiom_M', axiom, axiom_M,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 143.16/18.60 fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_km5_necessitation', axiom, necessitation,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_and_2_$sk', plain, ((~and_2 | is_a_theorem(implies(and(X2,X1),X1))) & (and_2 | ~is_a_theorem(implies(and($sk79,$sk78),$sk78)))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_and_2'])).
% 143.16/18.60 fof('$inc_and_2', axiom, (and_2 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_and_2', axiom, and_2,
% 143.16/18.60 input).
% 143.16/18.60 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,$sk91))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 143.16/18.60 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_use_substitution_of_equivalents', axiom, substitution_of_equivalents,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 143.16/18.60 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_op_implies_and', axiom, op_implies_and,
% 143.16/18.60 input).
% 143.16/18.60 fof('$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,$sk82)))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_implies_3'])).
% 143.16/18.60 fof('$inc_implies_3', axiom, (implies_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_implies_3', axiom, implies_3,
% 143.16/18.60 input).
% 143.16/18.60 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,$sk74))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_or_1'])).
% 143.16/18.60 fof('$inc_or_1', axiom, (or_1 <=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_or_1', axiom, or_1,
% 143.16/18.60 input).
% 143.16/18.60 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,$sk85))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 143.16/18.60 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_implies_2', axiom, implies_2,
% 143.16/18.60 input).
% 143.16/18.60 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,$sk88))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 143.16/18.60 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_implies_1', axiom, implies_1,
% 143.16/18.60 input).
% 143.16/18.60 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)))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_axiom_K'])).
% 143.16/18.60 fof('$inc_axiom_K', axiom, (axiom_K <=> (! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y)))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_km5_axiom_K', axiom, axiom_K,
% 143.16/18.60 input).
% 143.16/18.60 fof('$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)))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_or_3'])).
% 143.16/18.60 fof('$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)))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_or_3', axiom, or_3,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 143.16/18.60 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_op_or', axiom, op_or,
% 143.16/18.60 input).
% 143.16/18.60 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))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_modus_tollens'])).
% 143.16/18.60 fof('$inc_modus_tollens', axiom, (modus_tollens <=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_hilbert_modus_tollens', axiom, modus_tollens,
% 143.16/18.60 input).
% 143.16/18.60 fof('$inc_axiom_m6_$sk', plain, ((~axiom_m6 | is_a_theorem(strict_implies(X1,possibly(X1)))) & (axiom_m6 | ~is_a_theorem(strict_implies($sk7,possibly($sk7))))),
% 143.16/18.60 inference(negpush_and_skolemize,[],['$inc_axiom_m6'])).
% 143.16/18.60 fof('$inc_axiom_m6', axiom, (axiom_m6 <=> (! [X] : is_a_theorem(strict_implies(X,possibly(X))))),
% 143.16/18.60 input).
% 143.16/18.60 fof('s1_0_m6s3m9b_axiom_m6_$sk', plain, ~axiom_m6,
% 143.16/18.60 inference(negpush_and_skolemize,[],['s1_0_m6s3m9b_axiom_m6'])).
% 143.16/18.60 fof('s1_0_m6s3m9b_axiom_m6', conjecture, axiom_m6,
% 143.16/18.60 input).
% 143.16/18.60 cnf('1', plain, (~$pr(op_possibly) | possibly(X0) = not(necessarily(not(X0)))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_op_possibly_$sk'])).
% 143.16/18.60 cnf('2', plain, ($pr(op_possibly)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_km5_op_possibly'])).
% 143.16/18.60 cnf('3', plain, (possibly(X) = not(necessarily(not(X)))),
% 143.16/18.60 inference(simplify,[],['1','2'])).
% 143.16/18.60 cnf('4', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 143.16/18.60 cnf('5', plain, ($pr(op_equiv)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 143.16/18.60 cnf('6', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 143.16/18.60 inference(simplify,[],['4','5'])).
% 143.16/18.60 cnf('7', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 143.16/18.60 cnf('8', plain, ($pr(modus_ponens)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 143.16/18.60 cnf('9', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 143.16/18.60 inference(simplify,[],['7','8'])).
% 143.16/18.60 cnf('10', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 143.16/18.60 cnf('11', plain, ($pr(and_3)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 143.16/18.60 cnf('12', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 143.16/18.60 inference(simplify,[],['10','11'])).
% 143.16/18.60 cnf('13', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 143.16/18.60 inference(resolution,[],['9','12'])).
% 143.16/18.60 cnf('14', plain, (is_a_theorem(and(X,Y)) | ~is_a_theorem(Y) | ~is_a_theorem(X)),
% 143.16/18.60 inference(resolution,[],['13','9'])).
% 143.16/18.60 cnf('15', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Y,X)) | is_a_theorem(equiv(Y,X))),
% 143.16/18.60 inference(paramodulation,[],['6','14'])).
% 143.16/18.60 cnf('16', plain, (~$pr(op_strict_implies) | strict_implies(X0,X1) = necessarily(implies(X0,X1))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 143.16/18.60 cnf('17', plain, ($pr(op_strict_implies)),
% 143.16/18.60 inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 143.16/18.60 cnf('18', plain, (strict_implies(X,Y) = necessarily(implies(X,Y))),
% 143.16/18.60 inference(simplify,[],['16','17'])).
% 143.16/18.60 cnf('19', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 143.16/18.60 cnf('20', plain, ($pr(axiom_M)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_km5_axiom_M'])).
% 143.16/18.60 cnf('21', plain, (is_a_theorem(implies(necessarily(X),X))),
% 143.16/18.60 inference(simplify,[],['19','20'])).
% 143.16/18.60 cnf('22', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(X,Y)))),
% 143.16/18.60 inference(paramodulation,[],['18','21'])).
% 143.16/18.60 cnf('23', plain, (~is_a_theorem(strict_implies(X,Y)) | is_a_theorem(implies(X,Y))),
% 143.16/18.60 inference(resolution,[],['9','22'])).
% 143.16/18.60 cnf('24', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 143.16/18.60 cnf('25', plain, ($pr(necessitation)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_km5_necessitation'])).
% 143.16/18.60 cnf('26', plain, (is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 143.16/18.60 inference(simplify,[],['24','25'])).
% 143.16/18.60 cnf('27', plain, (~is_a_theorem(implies(X,Y)) | is_a_theorem(strict_implies(X,Y))),
% 143.16/18.60 inference(paramodulation,[],['18','26'])).
% 143.16/18.60 cnf('28', plain, (~$pr(and_2) | is_a_theorem(implies(and(X0,X1),X1))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_and_2_$sk'])).
% 143.16/18.60 cnf('29', plain, ($pr(and_2)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_and_2'])).
% 143.16/18.60 cnf('30', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 143.16/18.60 inference(simplify,[],['28','29'])).
% 143.16/18.60 cnf('31', plain, (is_a_theorem(strict_implies(and(X,Y),Y))),
% 143.16/18.60 inference(resolution,[],['27','30'])).
% 143.16/18.60 cnf('32', plain, (is_a_theorem(implies(and(X3,Y3),Y3))),
% 143.16/18.60 inference(resolution,[],['23','31'])).
% 143.16/18.60 cnf('33', plain, (is_a_theorem(equiv(and(X,Y),Y)) | ~is_a_theorem(X)),
% 143.16/18.60 inference(resolution,[then_simplify],['15','13','32'])).
% 143.16/18.60 cnf('34', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 143.16/18.60 cnf('35', plain, ($pr(substitution_of_equivalents)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_use_substitution_of_equivalents'])).
% 143.16/18.60 cnf('36', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 143.16/18.60 inference(simplify,[],['34','35'])).
% 143.16/18.60 cnf('37', plain, (and(X,Y) = Y | ~is_a_theorem(X)),
% 143.16/18.60 inference(resolution,[],['33','36'])).
% 143.16/18.60 cnf('38', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 143.16/18.60 cnf('39', plain, ($pr(op_implies_and)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_op_implies_and'])).
% 143.16/18.60 cnf('40', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 143.16/18.60 inference(simplify,[],['38','39'])).
% 143.16/18.60 cnf('41', plain, (implies(X,Y) = not(not(Y)) | ~is_a_theorem(X)),
% 143.16/18.60 inference(paramodulation,[],['37','40'])).
% 143.16/18.60 cnf('42', plain, (~$pr(implies_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_implies_3_$sk'])).
% 143.16/18.60 cnf('43', plain, ($pr(implies_3)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_implies_3'])).
% 143.16/18.60 cnf('44', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 143.16/18.60 inference(simplify,[],['42','43'])).
% 143.16/18.60 cnf('45', plain, (is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | ~is_a_theorem(implies(Z,X))),
% 143.16/18.60 inference(resolution,[],['44','9'])).
% 143.16/18.60 cnf('46', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Z,X)) | is_a_theorem(implies(Z,Y))),
% 143.16/18.60 inference(resolution,[],['45','9'])).
% 143.16/18.60 cnf('47', plain, (~$pr(or_1) | is_a_theorem(implies(X0,or(X0,X1)))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_or_1_$sk'])).
% 143.16/18.60 cnf('48', plain, ($pr(or_1)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_or_1'])).
% 143.16/18.60 cnf('49', plain, (is_a_theorem(implies(X,or(X,Y)))),
% 143.16/18.60 inference(simplify,[],['47','48'])).
% 143.16/18.60 cnf('50', plain, (is_a_theorem(implies(X,or(Y,Z))) | ~is_a_theorem(implies(X,Y))),
% 143.16/18.60 inference(resolution,[],['46','49'])).
% 143.16/18.60 cnf('51', plain, (~is_a_theorem(implies(X,Y)) | is_a_theorem(or(Y,Z)) | ~is_a_theorem(X)),
% 143.16/18.60 inference(resolution,[],['50','9'])).
% 143.16/18.60 cnf('52', plain, (~$pr(implies_2) | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 143.16/18.60 cnf('53', plain, ($pr(implies_2)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_implies_2'])).
% 143.16/18.60 cnf('54', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 143.16/18.60 inference(simplify,[],['52','53'])).
% 143.16/18.60 cnf('55', plain, (~is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y))),
% 143.16/18.60 inference(resolution,[],['54','9'])).
% 143.16/18.60 cnf('56', plain, (is_a_theorem(implies(X,and(X,X)))),
% 143.16/18.60 inference(resolution,[],['55','12'])).
% 143.16/18.60 cnf('57', plain, (is_a_theorem(implies(implies(X,X),equiv(X,X)))),
% 143.16/18.60 inference(paramodulation,[],['6','56'])).
% 143.16/18.60 cnf('58', plain, (~$pr(implies_1) | is_a_theorem(implies(X0,implies(X1,X0)))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 143.16/18.60 cnf('59', plain, ($pr(implies_1)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_implies_1'])).
% 143.16/18.60 cnf('60', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 143.16/18.60 inference(simplify,[],['58','59'])).
% 143.16/18.60 cnf('61', plain, (is_a_theorem(implies(X3,X3))),
% 143.16/18.60 inference(resolution,[],['55','60'])).
% 143.16/18.60 cnf('62', plain, (is_a_theorem(or(equiv(X,X),Y))),
% 143.16/18.60 inference(resolution,[then_simplify],['51','57','61'])).
% 143.16/18.60 cnf('63', plain, (~$pr(axiom_K) | is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_axiom_K_$sk'])).
% 143.16/18.60 cnf('64', plain, ($pr(axiom_K)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_km5_axiom_K'])).
% 143.16/18.60 cnf('65', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(necessarily(X),necessarily(Y))))),
% 143.16/18.60 inference(simplify,[then_simplify],['63','64','18'])).
% 143.16/18.60 cnf('66', plain, (is_a_theorem(implies(necessarily(X),necessarily(Y))) | ~is_a_theorem(strict_implies(X,Y))),
% 143.16/18.60 inference(resolution,[],['65','9'])).
% 143.16/18.60 cnf('67', plain, (~is_a_theorem(strict_implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(necessarily(Y))),
% 143.16/18.60 inference(resolution,[],['66','9'])).
% 143.16/18.60 cnf('68', plain, (is_a_theorem(strict_implies(X,or(X,Y)))),
% 143.16/18.60 inference(resolution,[],['27','49'])).
% 143.16/18.60 cnf('69', plain, (is_a_theorem(necessarily(or(X,Y))) | ~is_a_theorem(necessarily(X))),
% 143.16/18.60 inference(resolution,[],['67','68'])).
% 143.16/18.60 cnf('70', plain, (~is_a_theorem(necessarily(X)) | is_a_theorem(X)),
% 143.16/18.60 inference(resolution,[],['9','21'])).
% 143.16/18.60 cnf('71', plain, (is_a_theorem(or(X,Y)) | ~is_a_theorem(necessarily(X))),
% 143.16/18.60 inference(resolution,[],['69','70'])).
% 143.16/18.60 cnf('72', plain, (~$pr(or_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_or_3_$sk'])).
% 143.16/18.60 cnf('73', plain, ($pr(or_3)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_or_3'])).
% 143.16/18.60 cnf('74', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,Y),implies(or(X,Z),Y))))),
% 143.16/18.60 inference(simplify,[],['72','73'])).
% 143.16/18.60 cnf('75', plain, (is_a_theorem(implies(implies(X,Y),implies(or(X,X),Y)))),
% 143.16/18.60 inference(resolution,[],['74','55'])).
% 143.16/18.60 cnf('76', plain, (is_a_theorem(implies(or(X,X),Y)) | ~is_a_theorem(implies(X,Y))),
% 143.16/18.60 inference(resolution,[],['75','9'])).
% 143.16/18.60 cnf('77', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(or(X,X)) | is_a_theorem(Y)),
% 143.16/18.60 inference(resolution,[],['76','9'])).
% 143.16/18.60 cnf('78', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(Y)),
% 143.16/18.60 inference(resolution,[],['71','77'])).
% 143.16/18.60 cnf('79', plain, (is_a_theorem(implies(or(X3,X3),Y3)) | ~is_a_theorem(necessarily(implies(X3,Y3)))),
% 143.16/18.60 inference(resolution,[],['78','75'])).
% 143.16/18.60 cnf('80', plain, (is_a_theorem(implies(or(X,X),Y)) | ~is_a_theorem(strict_implies(X,Y))),
% 143.16/18.60 inference(simplify,[],['79','18'])).
% 143.16/18.60 cnf('81', plain, (~is_a_theorem(strict_implies(X,Y)) | ~is_a_theorem(or(X,X)) | is_a_theorem(Y)),
% 143.16/18.60 inference(resolution,[],['80','9'])).
% 143.16/18.60 cnf('82', plain, (~is_a_theorem(strict_implies(equiv(X,X),Y)) | is_a_theorem(Y)),
% 143.16/18.60 inference(resolution,[],['62','81'])).
% 143.16/18.60 cnf('83', plain, (is_a_theorem(strict_implies(X,or(Y,Z))) | ~is_a_theorem(implies(X,Y))),
% 143.16/18.60 inference(resolution,[],['50','27'])).
% 143.16/18.60 cnf('84', plain, (~is_a_theorem(implies(equiv(X,X),Y)) | is_a_theorem(or(Y,Z))),
% 143.16/18.60 inference(resolution,[],['82','83'])).
% 143.16/18.60 cnf('85', plain, (is_a_theorem(or(implies(X,equiv(Y,Y)),Z))),
% 143.16/18.60 inference(resolution,[],['84','60'])).
% 143.16/18.60 cnf('86', plain, (~is_a_theorem(strict_implies(implies(X,equiv(Y,Y)),Z)) | is_a_theorem(Z)),
% 143.16/18.60 inference(resolution,[],['85','81'])).
% 143.16/18.60 cnf('87', plain, (is_a_theorem(strict_implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 143.16/18.60 inference(resolution,[],['44','27'])).
% 143.16/18.60 cnf('88', plain, (is_a_theorem(implies(implies(equiv(X,X),Y),implies(Z,Y)))),
% 143.16/18.60 inference(resolution,[],['86','87'])).
% 143.16/18.60 cnf('89', plain, (is_a_theorem(implies(implies(equiv(X,X),Y),Y))),
% 143.16/18.60 inference(resolution,[],['88','55'])).
% 143.16/18.60 cnf('90', plain, (~is_a_theorem(implies(X,necessarily(Y))) | is_a_theorem(implies(X,Y))),
% 143.16/18.60 inference(resolution,[],['46','21'])).
% 143.16/18.60 cnf('91', plain, (is_a_theorem(implies(implies(equiv(X,X),necessarily(Y)),Y))),
% 143.16/18.60 inference(resolution,[],['89','90'])).
% 143.16/18.60 cnf('92', plain, (is_a_theorem(and(X,X)) | ~is_a_theorem(X)),
% 143.16/18.60 inference(factorization,[],['14'])).
% 143.16/18.60 cnf('93', plain, (is_a_theorem(equiv(X3,X3))),
% 143.16/18.60 inference(paramodulation,[then_simplify],['6','92','61'])).
% 143.16/18.60 cnf('94', plain, (is_a_theorem(implies(not(not(necessarily(Y3))),Y3))),
% 143.16/18.60 inference(paramodulation,[then_simplify],['41','91','93'])).
% 143.16/18.60 cnf('95', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 143.16/18.60 cnf('96', plain, ($pr(op_or)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_op_or'])).
% 143.16/18.60 cnf('97', plain, (or(X,Y) = implies(not(X),Y)),
% 143.16/18.60 inference(simplify,[then_simplify],['95','96','40'])).
% 143.16/18.60 cnf('98', plain, (is_a_theorem(or(not(necessarily(X)),X))),
% 143.16/18.60 inference(simplify,[],['94','97'])).
% 143.16/18.60 cnf('99', plain, (is_a_theorem(or(possibly(X),not(X)))),
% 143.16/18.60 inference(paramodulation,[],['3','98'])).
% 143.16/18.60 cnf('100', plain, (~$pr(modus_tollens) | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_modus_tollens_$sk'])).
% 143.16/18.60 cnf('101', plain, ($pr(modus_tollens)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_hilbert_modus_tollens'])).
% 143.16/18.60 cnf('102', plain, (is_a_theorem(implies(or(X,not(Y)),implies(Y,X)))),
% 143.16/18.60 inference(simplify,[then_simplify],['100','101','97'])).
% 143.16/18.60 cnf('103', plain, (is_a_theorem(strict_implies(or(X,not(Y)),implies(Y,X)))),
% 143.16/18.60 inference(resolution,[],['102','27'])).
% 143.16/18.60 cnf('104', plain, (~is_a_theorem(necessarily(or(X3,not(Y3)))) | is_a_theorem(necessarily(implies(Y3,X3)))),
% 143.16/18.60 inference(resolution,[],['67','103'])).
% 143.16/18.60 cnf('105', plain, (~is_a_theorem(necessarily(or(X,not(Y)))) | is_a_theorem(strict_implies(Y,X))),
% 143.16/18.60 inference(simplify,[],['104','18'])).
% 143.16/18.60 cnf('106', plain, (~is_a_theorem(or(X,not(Y))) | is_a_theorem(strict_implies(Y,X))),
% 143.16/18.60 inference(resolution,[],['105','26'])).
% 143.16/18.60 cnf('107', plain, (is_a_theorem(strict_implies(X,possibly(X)))),
% 143.16/18.60 inference(resolution,[],['99','106'])).
% 143.16/18.60 cnf('108', plain, (~is_a_theorem(strict_implies($sk7,possibly($sk7))) | $pr(axiom_m6)),
% 143.16/18.60 inference(cnf_transformation,[],['$inc_axiom_m6_$sk'])).
% 143.16/18.60 cnf('109', plain, (~$pr(axiom_m6)),
% 143.16/18.60 inference(cnf_transformation,[],['s1_0_m6s3m9b_axiom_m6_$sk'])).
% 143.16/18.61 cnf('110', plain, (~is_a_theorem(strict_implies($sk7,possibly($sk7)))),
% 143.16/18.61 inference(simplify,[],['108','109'])).
% 143.16/18.61 cnf('111', plain, ($false),
% 143.16/18.61 inference(resolution,[],['107','110'])).
% 143.16/18.61
% 143.16/18.61 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 143.16/18.61
% 143.16/18.61 run 260 fork 3 statistics:
% 143.16/18.61 ----------------------------------
% 143.16/18.61 this run seconds: 0.286757
% 143.16/18.61 total seconds: 17.069220
% 143.16/18.61 stat_given_used: 1880
% 143.16/18.61 stat_given_used_at_endgame: 0
% 143.16/18.61 stat_given_candidates: 9139
% 143.16/18.61 stat_given_candidates_at_endgame: 0
% 143.16/18.61 stat_given_candidates_h: 0
% 143.16/18.61 stat_binres_derived_cl: 16436
% 143.16/18.61 stat_binres_derived_cl_h: 0
% 143.16/18.61 stat_factor_derived_cl: 43
% 143.16/18.61 stat_para_derived_cl: 11173
% 143.16/18.61 stat_tautologies_discarded: 306
% 143.16/18.61 stat_forward_subsumed: 5384
% 143.16/18.61 stat_derived_cut: 774
% 143.16/18.61 stat_derived_rewritten: 396
% 143.16/18.61 stat_weight_discarded_building: 0
% 143.16/18.61 stat_weight_discarded_cl: 0
% 143.16/18.61 stat_internlimit_discarded_cl: 0
% 143.16/18.61 stat_simplified: 524 simplified 0 derived 0 given
% 143.16/18.61 stat_kept_cl: 21824
% 143.16/18.61 stat_built_cl: 26108
% 143.16/18.61 stat_hyperres_partial_cl: 0
% 143.16/18.61 stat_made_rewriters: 15
% 143.16/18.61 stat_backward_subsumed: 0
% 143.16/18.61 stat_propagated_subsumed: 0
% 143.16/18.61 stat_clsubs_attempted: 67740
% 143.16/18.61 stat_clsubs_fact_groundunit_found: 10
% 143.16/18.61 stat_clsubs_rule_groundunit_found: 37
% 143.16/18.61 stat_clsubs_top_meta_attempted: 5772226
% 143.16/18.61 stat_clsubs_top_meta_failed: 5704486
% 143.16/18.61 stat_clsubs_top_meta_nonpref_attempted: 5772226
% 143.16/18.61 stat_clsubs_top_meta_nonpref_succeeded: 868445
% 143.16/18.61 stat_clsubs_top_meta_pref_attempted: 868445
% 143.16/18.61 stat_clsubs_top_meta_pref1_succeeded: 734704
% 143.16/18.61 stat_clsubs_top_meta_pref2_succeeded: 119968
% 143.16/18.61 stat_clsubs_top_meta_pref3_succeeded: 67740
% 143.16/18.61 stat_clsubs_top_meta_pref_succeeded: 67740
% 143.16/18.61 stat_clsubs_meta_attempted: 113260
% 143.16/18.61 stat_clsubs_meta_failed: 48736
% 143.16/18.61 stat_clsubs_predsymbs_attempted: 0
% 143.16/18.61 stat_clsubs_unit_attempted: 27541
% 143.16/18.61 stat_clsubs_full_attempted: 40199
% 143.16/18.61 stat_forwardsubs_attempted: 27208
% 143.16/18.61 stat_lit_hash_added: 21988
% 143.16/18.61 stat_lit_hash_computed: 157241
% 143.16/18.61 stat_lit_hash_match_found: 7230
% 143.16/18.61 stat_lit_hash_match_miss: 177929
% 143.16/18.61 stat_lit_hash_cut_ok: 1199
% 143.16/18.61 stat_lit_strong_cut_ok: 0
% 143.16/18.61 stat_lit_hash_subsume_ok: 5384
% 143.16/18.61 clqueue els 10000000 used 1
% 143.16/18.61 clactive els 10000000 used 1881
% 143.16/18.61 clactivesubsume els 10000000 used 10999
% 143.16/18.61 queue_termbuf els 200000000 used 1596610
% 143.16/18.61 hyper_termbuf els 100000000 used 1
% 143.16/18.61 active_termbuf els 100000000 used 77476
% 143.16/18.61 varstack els 5000 last used 1
% 143.16/18.61 given_termbuf els 10000000 last used 1
% 143.16/18.61 simplified_termbuf els 10000000 last used 1
% 143.16/18.61 derived_termbuf els 10000000 last used 34
% 143.16/18.61 wr_mallocs: 15868
% 143.16/18.61 wr_callocs: 19
% 143.16/18.61 wr_reallocs: 3797
% 143.16/18.61 wr_frees: 4
% 143.16/18.61 wr_malloc_bytes: 4163204180
% 143.16/18.61 wr_calloc_bytes: 96065504
% 143.16/18.61 wr_realloc_bytes: 1276208
% 143.16/18.61 wr_realloc_freebytes: 0
% 143.16/18.61 ----------------------------------
%------------------------------------------------------------------------------