TSTP Solution File: LCL535+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL535+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n032.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 07:39:40 EDT 2023
% Result : Theorem 35.58s 4.95s
% Output : CNFRefutation 35.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL535+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : gkc %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Fri Aug 25 05:52:42 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.11/0.34
% 0.11/0.34 input clause set summed statistics:
% 0.11/0.34 ----------------------------------
% 0.11/0.34 in_clause_count: 146
% 0.11/0.34 in_rule_clause_count: 146
% 0.11/0.34 in_fact_clause_count: 0
% 0.11/0.34 in_answer_clause_count: 0
% 0.11/0.34 in_ground_clause_count: 88
% 0.11/0.34 in_unit_clause_count: 30
% 0.11/0.34 in_horn_clause_count: 137
% 0.11/0.34 in_pos_clause_count: 38
% 0.11/0.34 in_neg_clause_count: 1
% 0.11/0.34 in_poseq_clause_count: 11
% 0.11/0.34 in_negeq_clause_count: 2
% 0.11/0.34 in_unitposeq_clause_count: 0
% 0.11/0.34 in_chain_clause_count: 0
% 0.11/0.34 in_min_length: 1
% 0.11/0.34 in_max_length: 4
% 0.11/0.34 in_min_depth: 1
% 0.11/0.34 in_max_depth: 5
% 0.11/0.34 in_min_size: 2
% 0.11/0.34 in_max_size: 17
% 0.11/0.34 in_min_vars: 0
% 0.11/0.34 in_max_vars: 3
% 0.11/0.34 in_extaxiom_count: 139
% 0.11/0.34 in_axiom_count: 6
% 0.11/0.34 in_assumption_count: 0
% 0.11/0.34 in_goal_count: 1
% 0.11/0.34 in_neg_goal_count: 1
% 0.11/0.34 in_pos_goal_count: 0
% 0.11/0.34 in_posunit_goal_count: 0
% 0.11/0.34
% 0.11/0.34 auto guide:
% 0.11/0.34 -----------
% 0.11/0.34 {
% 0.11/0.34 "print":1,
% 0.11/0.34 "print_level": 15,
% 0.11/0.34 "max_size": 0,
% 0.11/0.34 "max_depth": 0,
% 0.11/0.34 "max_length": 0,
% 0.11/0.34 "max_dseconds": 0,
% 0.11/0.34 "runs":[
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.11/0.34 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.34 {"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},
% 0.11/0.34 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.34 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.11/0.34 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.11/0.34 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.34 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.11/0.34 {"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},
% 0.11/0.34 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.34 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.11/0.34 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.11/0.34 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.11/0.34 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.11/0.34 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.34 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.11/0.34 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.34 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.34 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.11/0.34 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.11/0.34 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.34 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.11/0.34 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.34 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.11/0.34 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.11/0.34 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.11/0.34 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.34 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.11/0.34 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.11/0.34 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.11/0.34 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.11/0.34 {"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},
% 0.11/0.34 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.11/0.34 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.11/0.34 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.34 {"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},
% 0.11/0.34 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.11/0.34
% 0.11/0.34 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.11/0.34 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.34 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.34 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
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% 11.07/1.80
% 11.07/1.80
% 11.07/1.80 fork 7: search terminated without proof.
% 11.07/1.81
% 11.07/1.81
% 11.07/1.81 fork 1: search terminated without proof.
% 11.07/1.82
% 11.07/1.82 **** run 101 fork 4 starts with strategy
% 11.07/1.82 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"sine":1}
% 11.07/1.82
% 11.07/1.82 **** run 88 fork 7 starts with strategy
% 11.07/1.82 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 11.32/1.82
% 11.32/1.82 **** run 81 fork 0 starts with strategy
% 11.32/1.82 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 11.32/1.82
% 11.32/1.82 **** run 106 fork 1 starts with strategy
% 11.32/1.82 {"sine":1,"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":1}
% 11.36/1.84
% 11.36/1.84
% 11.36/1.84 fork 6: search terminated without proof.
% 11.36/1.85
% 11.36/1.85 fork 4: search finished without proof.
% 11.36/1.85
% 11.36/1.85
% 11.36/1.85 fork 2: search terminated without proof.
% 11.36/1.85
% 11.36/1.85 fork 1: search finished without proof.
% 11.36/1.86
% 11.36/1.86 **** run 87 fork 6 starts with strategy
% 11.36/1.86 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 11.36/1.86
% 11.36/1.86 **** run 109 fork 4 starts with strategy
% 11.36/1.86 {"sine":1,"rewrite":0,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 11.36/1.87
% 11.36/1.87 **** run 115 fork 2 starts with strategy
% 11.36/1.87 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 11.36/1.87
% 11.36/1.87 **** run 114 fork 1 starts with strategy
% 11.36/1.87 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"equality":0}
% 11.36/1.89
% 11.36/1.89 fork 4: search finished without proof.
% 11.98/1.91
% 11.98/1.91 **** run 117 fork 4 starts with strategy
% 11.98/1.91 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 11.98/1.91
% 11.98/1.91
% 11.98/1.91 fork 3: search terminated without proof.
% 11.98/1.91
% 11.98/1.91
% 11.98/1.91 fork 5: search terminated without proof.
% 11.98/1.93
% 11.98/1.93 **** run 124 fork 3 starts with strategy
% 11.98/1.93 {"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}
% 11.98/1.93
% 11.98/1.93 **** run 118 fork 5 starts with strategy
% 11.98/1.93 {"max_dseconds":1,"strategy":["query_focus","posunitpara"],"query_preference":1,"depth_penalty":50,"length_penalty":100}
% 11.98/1.95
% 11.98/1.95
% 11.98/1.95 fork 7: search terminated without proof.
% 11.98/1.95
% 11.98/1.95
% 11.98/1.95 fork 0: search terminated without proof.
% 11.98/1.96
% 11.98/1.96 fork 3: search finished without proof.
% 11.98/1.97
% 11.98/1.97 **** run 96 fork 7 starts with strategy
% 11.98/1.97 {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":1}
% 12.49/1.97
% 12.49/1.97 **** run 132 fork 3 starts with strategy
% 12.49/1.97 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 12.49/1.98
% 12.49/1.98 **** run 89 fork 0 starts with strategy
% 12.49/1.98 {"max_dseconds":1,"strategy":["unit","pure_unit"],"query_preference":0}
% 12.49/1.99
% 12.49/1.99
% 12.49/1.99 fork 6: search terminated without proof.
% 12.49/2.00
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% 12.49/2.00 fork 2: search terminated without proof.
% 12.49/2.00
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% 12.49/2.00 fork 1: search terminated without proof.
% 12.49/2.02
% 12.49/2.02 fork 0: search finished without proof.
% 12.49/2.02
% 12.49/2.02 **** run 95 fork 6 starts with strategy
% 12.49/2.02 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":0,"sine":2}
% 12.49/2.02
% 12.49/2.02 **** run 122 fork 1 starts with strategy
% 12.49/2.02 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 12.49/2.02
% 12.49/2.02 **** run 123 fork 2 starts with strategy
% 12.49/2.02 {"sine":1,"rewrite":0,"depth_penalty":50,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":1}
% 12.49/2.04
% 12.49/2.04
% 12.49/2.04 fork 4: search terminated without proof.
% 12.49/2.04
% 12.49/2.04 **** run 97 fork 0 starts with strategy
% 12.49/2.04 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 12.49/2.05
% 12.49/2.05 fork 2: search finished without proof.
% 12.49/2.05
% 12.49/2.05 fork 6: search finished without proof.
% 12.49/2.06
% 12.49/2.06 **** run 125 fork 4 starts with strategy
% 12.49/2.06 {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":1,"sine":2}
% 12.49/2.06
% 12.49/2.06 **** run 131 fork 2 starts with strategy
% 12.49/2.06 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 12.49/2.06
% 12.49/2.06
% 12.49/2.06 fork 5: search terminated without proof.
% 13.27/2.07
% 13.27/2.07 **** run 103 fork 6 starts with strategy
% 13.27/2.07 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 13.27/2.07
% 13.27/2.07 fork 0: search finished without proof.
% 13.27/2.08
% 13.27/2.08 **** run 126 fork 5 starts with strategy
% 13.27/2.08 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 13.27/2.08
% 13.27/2.08 fork 4: search finished without proof.
% 13.27/2.09
% 13.27/2.09
% 13.27/2.09 fork 7: search terminated without proof.
% 13.27/2.10
% 13.27/2.10 **** run 105 fork 0 starts with strategy
% 13.27/2.10 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 13.27/2.10
% 13.27/2.10 **** run 133 fork 4 starts with strategy
% 13.27/2.10 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 13.27/2.11
% 13.27/2.11 **** run 104 fork 7 starts with strategy
% 13.27/2.11 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 13.27/2.13
% 13.27/2.13 fork 0: search finished without proof.
% 13.27/2.15
% 13.27/2.15
% 13.27/2.15 fork 1: search terminated without proof.
% 13.27/2.15
% 13.27/2.15 **** run 113 fork 0 starts with strategy
% 13.27/2.15 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1,"sine":1}
% 13.27/2.15
% 13.27/2.15 fork 7: search finished without proof.
% 13.27/2.16
% 13.27/2.16 **** run 130 fork 1 starts with strategy
% 13.27/2.16 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 13.27/2.17
% 13.27/2.17 **** run 112 fork 7 starts with strategy
% 13.27/2.17 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
% 13.27/2.18
% 13.27/2.18 fork 0: search finished without proof.
% 13.27/2.20
% 13.27/2.20 **** run 121 fork 0 starts with strategy
% 13.27/2.20 {"query_preference":1,"strategy":["unit","max_weight"],"max_dseconds":1}
% 14.91/2.30
% 14.91/2.30
% 14.91/2.30 fork 7: search terminated without proof.
% 14.91/2.31
% 14.91/2.31 fork 6: search finished without proof.
% 14.91/2.32
% 14.91/2.32 **** run 120 fork 7 starts with strategy
% 14.91/2.32 {"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}
% 15.20/2.33
% 15.20/2.33 **** run 111 fork 6 starts with strategy
% 15.20/2.33 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
% 15.20/2.33
% 15.20/2.33
% 15.20/2.33 fork 0: search terminated without proof.
% 15.28/2.36
% 15.28/2.36 **** run 129 fork 0 starts with strategy
% 15.28/2.36 {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 15.28/2.39
% 15.28/2.39 fork 0: search finished without proof.
% 15.83/2.41
% 15.83/2.41 **** run 137 fork 0 starts with strategy
% 15.83/2.41 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 15.83/2.45
% 15.83/2.45
% 15.83/2.45 fork 7: search terminated without proof.
% 15.83/2.46
% 15.83/2.46
% 15.83/2.46 fork 6: search terminated without proof.
% 16.32/2.47
% 16.32/2.47 **** run 128 fork 7 starts with strategy
% 16.32/2.47 {"max_dseconds":10,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 16.32/2.48
% 16.32/2.48 **** run 119 fork 6 starts with strategy
% 16.32/2.48 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 16.32/2.50
% 16.32/2.50 fork 7: search finished without proof.
% 16.32/2.51
% 16.32/2.51 **** run 136 fork 7 starts with strategy
% 16.32/2.51 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 17.29/2.61
% 17.29/2.61
% 17.29/2.61 fork 6: search terminated without proof.
% 17.59/2.63
% 17.59/2.63 **** run 127 fork 6 starts with strategy
% 17.59/2.63 {"max_dseconds":10,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 17.65/2.65
% 17.65/2.65 fork 6: search finished without proof.
% 17.65/2.67
% 17.65/2.67 **** run 135 fork 6 starts with strategy
% 17.65/2.67 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 20.55/3.04
% 20.55/3.04
% 20.55/3.04 fork 3: search terminated without proof.
% 20.82/3.06
% 20.82/3.06 **** run 140 fork 3 starts with strategy
% 20.82/3.06 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 21.13/3.09
% 21.13/3.09
% 21.13/3.09 fork 2: search terminated without proof.
% 21.13/3.11
% 21.13/3.11
% 21.13/3.11 fork 5: search terminated without proof.
% 21.13/3.12
% 21.13/3.12 **** run 139 fork 2 starts with strategy
% 21.13/3.12 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 21.58/3.15
% 21.58/3.15 **** run 134 fork 5 starts with strategy
% 21.58/3.15 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 21.58/3.20
% 21.58/3.20
% 21.58/3.20 fork 1: search terminated without proof.
% 22.06/3.22
% 22.06/3.22
% 22.06/3.22 fork 4: search terminated without proof.
% 22.06/3.25
% 22.06/3.25 **** run 138 fork 1 starts with strategy
% 22.06/3.25 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 22.51/3.26
% 22.51/3.26 **** run 141 fork 4 starts with strategy
% 22.51/3.26 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 23.90/3.44
% 23.90/3.44
% 23.90/3.44 fork 0: search terminated without proof.
% 24.00/3.47
% 24.00/3.47 **** run 145 fork 0 starts with strategy
% 24.00/3.47 {"max_dseconds":10,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 24.00/3.50
% 24.00/3.50 fork 0: search finished without proof.
% 24.00/3.52
% 24.00/3.52 **** run 153 fork 0 starts with strategy
% 24.00/3.52 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 24.00/3.59
% 24.00/3.59
% 24.00/3.59 fork 7: search terminated without proof.
% 24.00/3.61
% 24.00/3.61 **** run 144 fork 7 starts with strategy
% 24.00/3.61 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 24.00/3.69
% 24.00/3.69
% 24.00/3.69 fork 6: search terminated without proof.
% 24.00/3.72
% 24.00/3.72 **** run 143 fork 6 starts with strategy
% 24.00/3.72 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 28.86/4.14
% 28.86/4.14
% 28.86/4.14 fork 2: search terminated without proof.
% 29.56/4.18
% 29.56/4.18 **** run 147 fork 2 starts with strategy
% 29.56/4.18 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 29.72/4.21
% 29.72/4.21 fork 2: search finished without proof.
% 29.98/4.22
% 29.98/4.22
% 29.98/4.22 fork 3: search terminated without proof.
% 29.98/4.22
% 29.98/4.22 **** run 155 fork 2 starts with strategy
% 29.98/4.22 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 29.98/4.23
% 29.98/4.23
% 29.98/4.23 fork 5: search terminated without proof.
% 29.98/4.25
% 29.98/4.25 **** run 142 fork 5 starts with strategy
% 29.98/4.25 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 29.98/4.27
% 29.98/4.27
% 29.98/4.27 fork 1: search terminated without proof.
% 29.98/4.29
% 29.98/4.29
% 29.98/4.29 fork 4: search terminated without proof.
% 29.98/4.31
% 29.98/4.31 **** run 148 fork 3 starts with strategy
% 29.98/4.31 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 29.98/4.32
% 29.98/4.32 **** run 149 fork 4 starts with strategy
% 29.98/4.32 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 29.98/4.32
% 29.98/4.32 **** run 146 fork 1 starts with strategy
% 29.98/4.32 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 32.08/4.55
% 32.08/4.55
% 32.08/4.55 fork 0: search terminated without proof.
% 32.77/4.59
% 32.77/4.59 **** run 161 fork 0 starts with strategy
% 32.77/4.59 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 32.77/4.62
% 32.77/4.62 fork 0: search finished without proof.
% 32.77/4.64
% 32.77/4.64
% 32.77/4.64 fork 7: search terminated without proof.
% 32.77/4.64
% 32.77/4.64 **** run 169 fork 0 starts with strategy
% 32.77/4.64 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 33.44/4.67
% 33.44/4.67 **** run 152 fork 7 starts with strategy
% 33.44/4.67 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 33.82/4.74
% 33.82/4.74
% 33.82/4.74 fork 6: search terminated without proof.
% 34.07/4.77
% 34.07/4.77 **** run 151 fork 6 starts with strategy
% 34.07/4.77 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":1}
% 34.07/4.80
% 34.07/4.80 fork 6: search finished without proof.
% 34.07/4.81
% 34.07/4.81 **** run 159 fork 6 starts with strategy
% 34.07/4.81 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100}
% 35.58/4.95
% 35.58/4.95
% 35.58/4.95 result: proof found
% 35.58/4.95 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.58/4.95 by run 155 fork 2 strategy {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 35.58/4.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.58/4.95
% 35.58/4.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.58/4.95 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 35.58/4.95 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 35.58/4.95 input).
% 35.58/4.95 fof('$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($sk93))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 35.58/4.95 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 35.58/4.95 input).
% 35.58/4.95 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)))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 35.58/4.95 fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_and_3', axiom, and_3,
% 35.58/4.95 input).
% 35.58/4.95 fof('$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($sk27)))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_axiom_5'])).
% 35.58/4.95 fof('$inc_axiom_5', axiom, (axiom_5 <=> (! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_km5_axiom_5', axiom, axiom_5,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 35.58/4.95 fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 35.58/4.95 fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_km5_axiom_M', axiom, axiom_M,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 35.58/4.95 fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_km5_necessitation', axiom, necessitation,
% 35.58/4.95 input).
% 35.58/4.95 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,$sk91))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 35.58/4.95 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$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))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 35.58/4.95 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_implies_2', axiom, implies_2,
% 35.58/4.95 input).
% 35.58/4.95 fof('$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)))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_and_1'])).
% 35.58/4.95 fof('$inc_and_1', axiom, (and_1 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_and_1', axiom, and_1,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 35.58/4.95 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_op_or', axiom, op_or,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 35.58/4.95 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_op_implies_and', axiom, op_implies_and,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_cn3_$sk', plain, ((~cn3 | is_a_theorem(implies(implies(not(X1),X1),X1))) & (cn3 | ~is_a_theorem(implies(implies(not($sk51),$sk51),$sk51)))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_cn3'])).
% 35.58/4.95 fof('$inc_cn3', axiom, (cn3 <=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)))),
% 35.58/4.95 input).
% 35.58/4.95 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),$sk70)))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_or_3'])).
% 35.58/4.95 fof('$inc_or_3', axiom, (or_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_or_3', axiom, or_3,
% 35.58/4.95 input).
% 35.58/4.95 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,$sk88))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 35.58/4.95 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_implies_1', axiom, implies_1,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_or_2_$sk', plain, ((~or_2 | is_a_theorem(implies(X2,or(X1,X2)))) & (or_2 | ~is_a_theorem(implies($sk73,or($sk72,$sk73))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_or_2'])).
% 35.58/4.95 fof('$inc_or_2', axiom, (or_2 <=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_or_2', axiom, or_2,
% 35.58/4.95 input).
% 35.58/4.95 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)))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_axiom_K'])).
% 35.58/4.95 fof('$inc_axiom_K', axiom, (axiom_K <=> (! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y)))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_km5_axiom_K', axiom, axiom_K,
% 35.58/4.95 input).
% 35.58/4.95 fof('$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))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_or_1'])).
% 35.58/4.95 fof('$inc_or_1', axiom, (or_1 <=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_or_1', axiom, or_1,
% 35.58/4.95 input).
% 35.58/4.95 fof('$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,$sk90))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_modus_tollens'])).
% 35.58/4.95 fof('$inc_modus_tollens', axiom, (modus_tollens <=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_modus_tollens', axiom, modus_tollens,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_op_possibly_$sk', plain, ((possibly(X1) = not(necessarily(not(X1)))) | ~op_possibly),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_op_possibly'])).
% 35.58/4.95 fof('$inc_op_possibly', axiom, (op_possibly => (! [X] : (possibly(X) = not(necessarily(not(X)))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_km5_op_possibly', axiom, op_possibly,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_axiom_m9_$sk', plain, ((~axiom_m9 | is_a_theorem(strict_implies(possibly(possibly(X1)),possibly(X1)))) & (axiom_m9 | ~is_a_theorem(strict_implies(possibly(possibly($sk2)),possibly($sk2))))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_axiom_m9'])).
% 35.58/4.95 fof('$inc_axiom_m9', axiom, (axiom_m9 <=> (! [X] : is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('s1_0_m6s3m9b_axiom_m9_$sk', plain, ~axiom_m9,
% 35.58/4.95 inference(negpush_and_skolemize,[],['s1_0_m6s3m9b_axiom_m9'])).
% 35.58/4.95 fof('s1_0_m6s3m9b_axiom_m9', conjecture, axiom_m9,
% 35.58/4.95 input).
% 35.58/4.95 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),$sk78)))),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_and_2'])).
% 35.58/4.95 fof('$inc_and_2', axiom, (and_2 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)))),
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_hilbert_and_2', axiom, and_2,
% 35.58/4.95 input).
% 35.58/4.95 fof('$inc_op_strict_equiv_$sk', plain, ((strict_equiv(X2,X1) = and(strict_implies(X2,X1),strict_implies(X1,X2))) | ~op_strict_equiv),
% 35.58/4.95 inference(negpush_and_skolemize,[],['$inc_op_strict_equiv'])).
% 35.58/4.95 fof('$inc_op_strict_equiv', axiom, (op_strict_equiv => (! [X,Y] : (strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X))))),
% 35.58/4.95 input).
% 35.58/4.95 fof('s1_0_op_strict_equiv', axiom, op_strict_equiv,
% 35.58/4.95 input).
% 35.58/4.95 cnf('1', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 35.58/4.95 cnf('2', plain, ($pr(op_equiv)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 35.58/4.95 cnf('3', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 35.58/4.95 inference(simplify,[],['1','2'])).
% 35.58/4.95 cnf('4', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 35.58/4.95 cnf('5', plain, ($pr(modus_ponens)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 35.58/4.95 cnf('6', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 35.58/4.95 inference(simplify,[],['4','5'])).
% 35.58/4.95 cnf('7', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 35.58/4.95 cnf('8', plain, ($pr(and_3)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 35.58/4.95 cnf('9', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 35.58/4.95 inference(simplify,[],['7','8'])).
% 35.58/4.95 cnf('10', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 35.58/4.95 inference(resolution,[],['6','9'])).
% 35.58/4.95 cnf('11', plain, (is_a_theorem(and(X,Y)) | ~is_a_theorem(Y) | ~is_a_theorem(X)),
% 35.58/4.95 inference(resolution,[],['10','6'])).
% 35.58/4.95 cnf('12', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Y,X)) | is_a_theorem(equiv(Y,X))),
% 35.58/4.95 inference(paramodulation,[],['3','11'])).
% 35.58/4.95 cnf('13', plain, (~$pr(axiom_5) | is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_axiom_5_$sk'])).
% 35.58/4.95 cnf('14', plain, ($pr(axiom_5)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_km5_axiom_5'])).
% 35.58/4.95 cnf('15', plain, (is_a_theorem(implies(possibly(X),necessarily(possibly(X))))),
% 35.58/4.95 inference(simplify,[],['13','14'])).
% 35.58/4.95 cnf('16', plain, (~$pr(op_strict_implies) | strict_implies(X0,X1) = necessarily(implies(X0,X1))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 35.58/4.95 cnf('17', plain, ($pr(op_strict_implies)),
% 35.58/4.95 inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 35.58/4.95 cnf('18', plain, (strict_implies(X,Y) = necessarily(implies(X,Y))),
% 35.58/4.95 inference(simplify,[],['16','17'])).
% 35.58/4.95 cnf('19', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 35.58/4.95 cnf('20', plain, ($pr(axiom_M)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_km5_axiom_M'])).
% 35.58/4.95 cnf('21', plain, (is_a_theorem(implies(necessarily(X),X))),
% 35.58/4.95 inference(simplify,[],['19','20'])).
% 35.58/4.95 cnf('22', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(X,Y)))),
% 35.58/4.95 inference(paramodulation,[],['18','21'])).
% 35.58/4.95 cnf('23', plain, (~is_a_theorem(strict_implies(X,Y)) | is_a_theorem(implies(X,Y))),
% 35.58/4.95 inference(resolution,[],['6','22'])).
% 35.58/4.95 cnf('24', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 35.58/4.95 cnf('25', plain, ($pr(necessitation)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_km5_necessitation'])).
% 35.58/4.95 cnf('26', plain, (is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 35.58/4.95 inference(simplify,[],['24','25'])).
% 35.58/4.95 cnf('27', plain, (~is_a_theorem(implies(X,Y)) | is_a_theorem(strict_implies(X,Y))),
% 35.58/4.95 inference(paramodulation,[],['18','26'])).
% 35.58/4.95 cnf('28', plain, (is_a_theorem(strict_implies(necessarily(X),X))),
% 35.58/4.95 inference(resolution,[],['27','21'])).
% 35.58/4.95 cnf('29', plain, (is_a_theorem(implies(necessarily(X3),X3))),
% 35.58/4.95 inference(resolution,[],['23','28'])).
% 35.58/4.95 cnf('30', plain, (is_a_theorem(equiv(necessarily(possibly(X)),possibly(X)))),
% 35.58/4.95 inference(resolution,[then_simplify],['12','15','29'])).
% 35.58/4.95 cnf('31', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 35.58/4.95 cnf('32', plain, ($pr(substitution_of_equivalents)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 35.58/4.95 cnf('33', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 35.58/4.95 inference(simplify,[],['31','32'])).
% 35.58/4.95 cnf('34', plain, (necessarily(possibly(X)) = possibly(X)),
% 35.58/4.95 inference(resolution,[],['30','33'])).
% 35.58/4.95 cnf('35', plain, (~$pr(implies_2) | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 35.58/4.95 cnf('36', plain, ($pr(implies_2)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_implies_2'])).
% 35.58/4.95 cnf('37', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 35.58/4.95 inference(simplify,[],['35','36'])).
% 35.58/4.95 cnf('38', plain, (~is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y))),
% 35.58/4.95 inference(resolution,[],['37','6'])).
% 35.58/4.95 cnf('39', plain, (is_a_theorem(implies(X,and(X,X)))),
% 35.58/4.95 inference(resolution,[],['38','9'])).
% 35.58/4.95 cnf('40', plain, (~$pr(and_1) | is_a_theorem(implies(and(X0,X1),X0))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_and_1_$sk'])).
% 35.58/4.95 cnf('41', plain, ($pr(and_1)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_and_1'])).
% 35.58/4.95 cnf('42', plain, (is_a_theorem(implies(and(X,Y),X))),
% 35.58/4.95 inference(simplify,[],['40','41'])).
% 35.58/4.95 cnf('43', plain, (is_a_theorem(strict_implies(and(X,Y),X))),
% 35.58/4.95 inference(resolution,[],['27','42'])).
% 35.58/4.95 cnf('44', plain, (is_a_theorem(implies(and(X3,Y3),X3))),
% 35.58/4.95 inference(resolution,[],['23','43'])).
% 35.58/4.95 cnf('45', plain, (is_a_theorem(equiv(and(X,X),X))),
% 35.58/4.95 inference(resolution,[then_simplify],['12','39','44'])).
% 35.58/4.95 cnf('46', plain, (and(X,X) = X),
% 35.58/4.95 inference(resolution,[],['45','33'])).
% 35.58/4.95 cnf('47', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 35.58/4.95 cnf('48', plain, ($pr(op_or)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_op_or'])).
% 35.58/4.95 cnf('49', plain, (or(X,Y) = not(and(not(X),not(Y)))),
% 35.58/4.95 inference(simplify,[],['47','48'])).
% 35.58/4.95 cnf('50', plain, (or(X,X) = not(not(X))),
% 35.58/4.95 inference(paramodulation,[],['46','49'])).
% 35.58/4.95 cnf('51', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 35.58/4.95 cnf('52', plain, ($pr(op_implies_and)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_op_implies_and'])).
% 35.58/4.95 cnf('53', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 35.58/4.95 inference(simplify,[],['51','52'])).
% 35.58/4.95 cnf('54', plain, (or(X,Y) = implies(not(X),Y)),
% 35.58/4.95 inference(paramodulation,[],['53','49'])).
% 35.58/4.95 cnf('55', plain, (~$pr(cn3) | is_a_theorem(implies(implies(not(X),X),X))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_cn3_$sk'])).
% 35.58/4.95 cnf('56', plain, (~$pr(cn3) | is_a_theorem(strict_implies(implies(not(X3),X3),X3))),
% 35.58/4.95 inference(resolution,[],['27','55'])).
% 35.58/4.95 cnf('57', plain, (~$pr(or_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_or_3_$sk'])).
% 35.58/4.95 cnf('58', plain, ($pr(or_3)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_or_3'])).
% 35.58/4.95 cnf('59', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,Y),implies(or(X,Z),Y))))),
% 35.58/4.95 inference(simplify,[],['57','58'])).
% 35.58/4.95 cnf('60', plain, (is_a_theorem(implies(implies(X,Y),implies(or(X,X),Y)))),
% 35.58/4.95 inference(resolution,[],['59','38'])).
% 35.58/4.95 cnf('61', plain, (is_a_theorem(implies(or(X,X),Y)) | ~is_a_theorem(implies(X,Y))),
% 35.58/4.95 inference(resolution,[],['60','6'])).
% 35.58/4.95 cnf('62', plain, (implies(not(X),Y) = or(X,Y)),
% 35.58/4.95 inference(paramodulation,[],['49','53'])).
% 35.58/4.95 cnf('63', plain, (~is_a_theorem(implies(implies(not($sk51),$sk51),$sk51)) | $pr(cn3)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_cn3_$sk'])).
% 35.58/4.95 cnf('64', plain, (~is_a_theorem(implies(or($sk51,$sk51),$sk51)) | $pr(cn3)),
% 35.58/4.95 inference(paramodulation,[],['62','63'])).
% 35.58/4.95 cnf('65', plain, (~$pr(implies_1) | is_a_theorem(implies(X0,implies(X1,X0)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 35.58/4.95 cnf('66', plain, ($pr(implies_1)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_implies_1'])).
% 35.58/4.95 cnf('67', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 35.58/4.95 inference(simplify,[],['65','66'])).
% 35.58/4.95 cnf('68', plain, (is_a_theorem(implies(X3,X3))),
% 35.58/4.95 inference(resolution,[],['38','67'])).
% 35.58/4.95 cnf('69', plain, ($pr(cn3)),
% 35.58/4.95 inference(resolution,[then_simplify],['61','64','68'])).
% 35.58/4.95 cnf('70', plain, (is_a_theorem(strict_implies(implies(not(X),X),X))),
% 35.58/4.95 inference(simplify,[],['56','69'])).
% 35.58/4.95 cnf('71', plain, (is_a_theorem(strict_implies(or(X,X),X))),
% 35.58/4.95 inference(paramodulation,[],['54','70'])).
% 35.58/4.95 cnf('72', plain, (is_a_theorem(implies(or(X,X),X))),
% 35.58/4.95 inference(resolution,[],['71','23'])).
% 35.58/4.95 cnf('73', plain, (~$pr(or_2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_or_2_$sk'])).
% 35.58/4.95 cnf('74', plain, ($pr(or_2)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_or_2'])).
% 35.58/4.95 cnf('75', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 35.58/4.95 inference(simplify,[],['73','74'])).
% 35.58/4.95 cnf('76', plain, (is_a_theorem(strict_implies(X,or(Y,X)))),
% 35.58/4.95 inference(resolution,[],['27','75'])).
% 35.58/4.95 cnf('77', plain, (is_a_theorem(implies(X3,or(Y3,X3)))),
% 35.58/4.95 inference(resolution,[],['23','76'])).
% 35.58/4.95 cnf('78', plain, (is_a_theorem(equiv(X,or(X,X)))),
% 35.58/4.95 inference(resolution,[then_simplify],['12','72','77'])).
% 35.58/4.95 cnf('79', plain, (X = or(X,X)),
% 35.58/4.95 inference(resolution,[],['78','33'])).
% 35.58/4.95 cnf('80', plain, (X = implies(not(X),X)),
% 35.58/4.95 inference(paramodulation,[],['79','54'])).
% 35.58/4.95 cnf('81', plain, (strict_implies(not(X),Y) = necessarily(or(X,Y))),
% 35.58/4.95 inference(paramodulation,[],['62','18'])).
% 35.58/4.95 cnf('82', plain, (necessarily(or(X,Y)) = necessarily(implies(not(X),Y))),
% 35.58/4.95 inference(paramodulation,[],['81','18'])).
% 35.58/4.95 cnf('83', plain, (necessarily(or(X,X)) = necessarily(X)),
% 35.58/4.95 inference(paramodulation,[],['80','82'])).
% 35.58/4.95 cnf('84', plain, (necessarily(not(not(X))) = necessarily(X)),
% 35.58/4.95 inference(paramodulation,[],['50','83'])).
% 35.58/4.95 cnf('85', plain, (necessarily(not(not(possibly(X)))) = possibly(X)),
% 35.58/4.95 inference(paramodulation,[],['34','84'])).
% 35.58/4.95 cnf('86', plain, (possibly(X) = necessarily(possibly(X))),
% 35.58/4.95 inference(paramodulation,[],['85','84'])).
% 35.58/4.95 cnf('87', plain, (or(X,X) = X),
% 35.58/4.95 inference(paramodulation,[],['80','54'])).
% 35.58/4.95 cnf('88', plain, (is_a_theorem(implies(X,X))),
% 35.58/4.95 inference(resolution,[],['38','67'])).
% 35.58/4.95 cnf('89', plain, (is_a_theorem(or(X,not(X)))),
% 35.58/4.95 inference(paramodulation,[],['62','88'])).
% 35.58/4.95 cnf('90', plain, (is_a_theorem(or(and(not(X),not(Y)),or(X,Y)))),
% 35.58/4.95 inference(paramodulation,[],['49','89'])).
% 35.58/4.95 cnf('91', plain, (is_a_theorem(or(not(X),or(X,X)))),
% 35.58/4.95 inference(paramodulation,[],['46','90'])).
% 35.58/4.95 cnf('92', plain, (is_a_theorem(or(not(X),X))),
% 35.58/4.95 inference(paramodulation,[],['87','91'])).
% 35.58/4.95 cnf('93', plain, (~$pr(axiom_K) | is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_axiom_K_$sk'])).
% 35.58/4.95 cnf('94', plain, ($pr(axiom_K)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_km5_axiom_K'])).
% 35.58/4.95 cnf('95', plain, (is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y))))),
% 35.58/4.95 inference(simplify,[],['93','94'])).
% 35.58/4.95 cnf('96', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(necessarily(X),necessarily(Y))))),
% 35.58/4.95 inference(paramodulation,[],['18','95'])).
% 35.58/4.95 cnf('97', plain, (is_a_theorem(implies(necessarily(X),necessarily(Y))) | ~is_a_theorem(strict_implies(X,Y))),
% 35.58/4.95 inference(resolution,[],['96','6'])).
% 35.58/4.95 cnf('98', plain, (~is_a_theorem(strict_implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(necessarily(Y))),
% 35.58/4.95 inference(resolution,[],['97','6'])).
% 35.58/4.95 cnf('99', plain, (~$pr(or_1) | is_a_theorem(implies(X0,or(X0,X1)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_or_1_$sk'])).
% 35.58/4.95 cnf('100', plain, ($pr(or_1)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_or_1'])).
% 35.58/4.95 cnf('101', plain, (is_a_theorem(implies(X,or(X,Y)))),
% 35.58/4.95 inference(simplify,[],['99','100'])).
% 35.58/4.95 cnf('102', plain, (is_a_theorem(strict_implies(X,or(X,Y)))),
% 35.58/4.95 inference(resolution,[],['27','101'])).
% 35.58/4.95 cnf('103', plain, (is_a_theorem(necessarily(or(X,Y))) | ~is_a_theorem(necessarily(X))),
% 35.58/4.95 inference(resolution,[],['98','102'])).
% 35.58/4.95 cnf('104', plain, (~is_a_theorem(necessarily(X)) | is_a_theorem(X)),
% 35.58/4.95 inference(resolution,[],['6','21'])).
% 35.58/4.95 cnf('105', plain, (is_a_theorem(or(X,Y)) | ~is_a_theorem(necessarily(X))),
% 35.58/4.95 inference(resolution,[],['103','104'])).
% 35.58/4.95 cnf('106', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(or(X,X)) | is_a_theorem(Y)),
% 35.58/4.95 inference(resolution,[],['61','6'])).
% 35.58/4.95 cnf('107', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(Y)),
% 35.58/4.95 inference(resolution,[],['105','106'])).
% 35.58/4.95 cnf('108', plain, (~$pr(modus_tollens) | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_modus_tollens_$sk'])).
% 35.58/4.95 cnf('109', plain, ($pr(modus_tollens)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_modus_tollens'])).
% 35.58/4.95 cnf('110', plain, (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))),
% 35.58/4.95 inference(simplify,[],['108','109'])).
% 35.58/4.95 cnf('111', plain, (~is_a_theorem(necessarily(implies(not(X),not(Y)))) | is_a_theorem(implies(Y,X))),
% 35.58/4.95 inference(resolution,[],['107','110'])).
% 35.58/4.95 cnf('112', plain, (is_a_theorem(implies(or(X,not(Y)),implies(Y,X)))),
% 35.58/4.95 inference(paramodulation,[],['54','110'])).
% 35.58/4.95 cnf('113', plain, (is_a_theorem(strict_implies(or(X,not(Y)),implies(Y,X)))),
% 35.58/4.95 inference(resolution,[],['112','27'])).
% 35.58/4.95 cnf('114', plain, (~is_a_theorem(necessarily(or(X,not(Y)))) | is_a_theorem(necessarily(implies(Y,X)))),
% 35.58/4.95 inference(resolution,[],['98','113'])).
% 35.58/4.95 cnf('115', plain, (is_a_theorem(necessarily(implies(X,Y))) | ~is_a_theorem(or(Y,not(X)))),
% 35.58/4.95 inference(resolution,[],['114','26'])).
% 35.58/4.95 cnf('116', plain, (~is_a_theorem(or(not(X),not(not(Y)))) | is_a_theorem(implies(X,Y))),
% 35.58/4.95 inference(resolution,[],['111','115'])).
% 35.58/4.95 cnf('117', plain, (is_a_theorem(implies(not(not(X)),X))),
% 35.58/4.95 inference(resolution,[],['92','116'])).
% 35.58/4.95 cnf('118', plain, (~is_a_theorem(or(X,not(Y))) | is_a_theorem(implies(Y,X))),
% 35.58/4.95 inference(resolution,[],['112','6'])).
% 35.58/4.95 cnf('119', plain, (is_a_theorem(implies(X3,not(not(X3))))),
% 35.58/4.95 inference(resolution,[],['92','118'])).
% 35.58/4.95 cnf('120', plain, (is_a_theorem(equiv(X,not(not(X))))),
% 35.58/4.95 inference(resolution,[then_simplify],['117','12','119'])).
% 35.58/4.95 cnf('121', plain, (X = not(not(X))),
% 35.58/4.95 inference(resolution,[],['120','33'])).
% 35.58/4.95 cnf('122', plain, (~$pr(op_possibly) | possibly(X0) = not(necessarily(not(X0)))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_op_possibly_$sk'])).
% 35.58/4.95 cnf('123', plain, ($pr(op_possibly)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_km5_op_possibly'])).
% 35.58/4.95 cnf('124', plain, (possibly(X) = not(necessarily(not(X)))),
% 35.58/4.95 inference(simplify,[],['122','123'])).
% 35.58/4.95 cnf('125', plain, (necessarily(not(X)) = not(possibly(X))),
% 35.58/4.95 inference(paramodulation,[],['124','121'])).
% 35.58/4.95 cnf('126', plain, (necessarily(X) = not(possibly(not(X)))),
% 35.58/4.95 inference(paramodulation,[],['121','125'])).
% 35.58/4.95 cnf('127', plain, (possibly(not(X)) = not(necessarily(X))),
% 35.58/4.95 inference(paramodulation,[],['84','124'])).
% 35.58/4.95 cnf('128', plain, (possibly(not(possibly(X))) = not(possibly(X))),
% 35.58/4.95 inference(paramodulation,[],['34','127'])).
% 35.58/4.95 cnf('129', plain, (possibly(necessarily(X)) = not(possibly(not(X)))),
% 35.58/4.95 inference(paramodulation,[],['126','128'])).
% 35.58/4.95 cnf('130', plain, (possibly(X) = not(possibly(not(possibly(X))))),
% 35.58/4.95 inference(paramodulation,[],['34','126'])).
% 35.58/4.95 cnf('131', plain, (possibly(X) = possibly(necessarily(possibly(X)))),
% 35.58/4.95 inference(paramodulation,[],['129','130'])).
% 35.58/4.95 cnf('132', plain, (possibly(X) = possibly(possibly(X))),
% 35.58/4.95 inference(paramodulation,[],['86','131'])).
% 35.58/4.95 cnf('133', plain, (~is_a_theorem(strict_implies(possibly(possibly($sk2)),possibly($sk2))) | $pr(axiom_m9)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_axiom_m9_$sk'])).
% 35.58/4.95 cnf('134', plain, (~$pr(axiom_m9)),
% 35.58/4.95 inference(cnf_transformation,[],['s1_0_m6s3m9b_axiom_m9_$sk'])).
% 35.58/4.95 cnf('135', plain, (~is_a_theorem(strict_implies(possibly(possibly($sk2)),possibly($sk2)))),
% 35.58/4.95 inference(simplify,[],['133','134'])).
% 35.58/4.95 cnf('136', plain, (~$pr(and_2) | is_a_theorem(implies(and(X0,X1),X1))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_and_2_$sk'])).
% 35.58/4.95 cnf('137', plain, ($pr(and_2)),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_hilbert_and_2'])).
% 35.58/4.95 cnf('138', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 35.58/4.95 inference(simplify,[],['136','137'])).
% 35.58/4.95 cnf('139', plain, (is_a_theorem(strict_implies(and(X,Y),Y))),
% 35.58/4.95 inference(resolution,[],['27','138'])).
% 35.58/4.95 cnf('140', plain, (is_a_theorem(implies(and(X3,Y3),Y3))),
% 35.58/4.95 inference(resolution,[],['23','139'])).
% 35.58/4.95 cnf('141', plain, (is_a_theorem(equiv(and(X,Y),Y)) | ~is_a_theorem(X)),
% 35.58/4.95 inference(resolution,[then_simplify],['12','10','140'])).
% 35.58/4.95 cnf('142', plain, (and(X,Y) = Y | ~is_a_theorem(X)),
% 35.58/4.95 inference(resolution,[],['141','33'])).
% 35.58/4.95 cnf('143', plain, (~is_a_theorem(necessarily(necessarily(X))) | ~is_a_theorem(strict_implies(X,Y)) | is_a_theorem(necessarily(Y))),
% 35.58/4.95 inference(resolution,[],['107','97'])).
% 35.58/4.95 cnf('144', plain, (necessarily(or(X,Y)) = strict_implies(not(X),Y)),
% 35.58/4.95 inference(paramodulation,[],['18','82'])).
% 35.58/4.95 cnf('145', plain, (~$pr(op_strict_equiv) | strict_equiv(X0,X1) = and(strict_implies(X0,X1),strict_implies(X1,X0))),
% 35.58/4.95 inference(cnf_transformation,[],['$inc_op_strict_equiv_$sk'])).
% 35.58/4.95 cnf('146', plain, ($pr(op_strict_equiv)),
% 35.58/4.95 inference(cnf_transformation,[],['s1_0_op_strict_equiv'])).
% 35.58/4.95 cnf('147', plain, (strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X))),
% 35.58/4.95 inference(simplify,[],['145','146'])).
% 35.58/4.95 cnf('148', plain, (is_a_theorem(strict_implies(X,and(X,X)))),
% 35.58/4.95 inference(resolution,[],['39','27'])).
% 35.58/4.95 cnf('149', plain, (is_a_theorem(strict_implies(strict_implies(X,X),strict_equiv(X,X)))),
% 35.58/4.95 inference(paramodulation,[],['147','148'])).
% 35.58/4.95 cnf('150', plain, (~is_a_theorem(necessarily(strict_implies(X,X))) | is_a_theorem(necessarily(strict_equiv(X,X)))),
% 35.58/4.95 inference(resolution,[],['98','149'])).
% 35.58/4.95 cnf('151', plain, (is_a_theorem(strict_implies(X3,X3))),
% 35.58/4.95 inference(resolution,[],['88','27'])).
% 35.58/4.95 cnf('152', plain, (is_a_theorem(necessarily(strict_equiv(X,X)))),
% 35.58/4.95 inference(resolution,[then_simplify],['150','26','151'])).
% 35.58/4.95 cnf('153', plain, (is_a_theorem(strict_implies(strict_equiv(X,Y),strict_implies(Y,X)))),
% 35.58/4.95 inference(paramodulation,[],['147','139'])).
% 35.58/4.95 cnf('154', plain, (~is_a_theorem(necessarily(strict_equiv(X,Y))) | is_a_theorem(necessarily(strict_implies(Y,X)))),
% 35.58/4.95 inference(resolution,[],['98','153'])).
% 35.58/4.95 cnf('155', plain, (is_a_theorem(necessarily(strict_implies(X,X)))),
% 35.58/4.95 inference(resolution,[],['152','154'])).
% 35.58/4.95 cnf('156', plain, (is_a_theorem(necessarily(necessarily(or(X,not(X)))))),
% 35.58/4.95 inference(paramodulation,[],['144','155'])).
% 35.58/4.95 cnf('157', plain, (~is_a_theorem(strict_implies(or(X,not(X)),Y)) | is_a_theorem(necessarily(Y))),
% 35.58/4.95 inference(resolution,[],['143','156'])).
% 35.58/4.95 cnf('158', plain, (is_a_theorem(necessarily(or(or(X,not(X)),Y)))),
% 35.58/4.95 inference(resolution,[],['157','102'])).
% 35.58/4.95 cnf('159', plain, (~is_a_theorem(necessarily(or(X,X))) | ~is_a_theorem(implies(X,Y)) | is_a_theorem(Y)),
% 35.58/4.95 inference(resolution,[],['107','61'])).
% 35.58/4.95 cnf('160', plain, (~is_a_theorem(implies(or(X,not(X)),Y)) | is_a_theorem(Y)),
% 35.58/4.95 inference(resolution,[],['158','159'])).
% 35.58/4.95 cnf('161', plain, (is_a_theorem(implies(X,and(or(Y,not(Y)),X)))),
% 35.58/4.95 inference(resolution,[],['160','9'])).
% 35.58/4.95 cnf('162', plain, (is_a_theorem(strict_implies(X,and(or(Y,not(Y)),X)))),
% 35.58/4.95 inference(resolution,[],['161','27'])).
% 35.58/4.95 cnf('163', plain, (is_a_theorem(or(X3,not(X3)))),
% 35.58/4.95 inference(paramodulation,[],['62','88'])).
% 35.58/4.95 cnf('164', plain, (is_a_theorem(strict_implies(Y3,Y3))),
% 35.58/4.95 inference(paramodulation,[then_simplify],['142','162','163'])).
% 35.58/4.95 cnf('165', plain, ($false),
% 35.58/4.95 inference(paramodulation,[then_simplify],['132','135','164'])).
% 35.58/4.95
% 35.58/4.95 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.58/4.95
% 35.58/4.95 run 155 fork 2 statistics:
% 35.58/4.95 ----------------------------------
% 35.58/4.95 this run seconds: 0.593875
% 35.58/4.95 total seconds: 4.459505
% 35.58/4.95 stat_given_used: 2310
% 35.58/4.95 stat_given_used_at_endgame: 0
% 35.58/4.95 stat_given_candidates: 9539
% 35.58/4.95 stat_given_candidates_at_endgame: 0
% 35.58/4.95 stat_given_candidates_h: 0
% 35.58/4.95 stat_binres_derived_cl: 16024
% 35.58/4.95 stat_binres_derived_cl_h: 0
% 35.58/4.95 stat_factor_derived_cl: 30
% 35.58/4.95 stat_para_derived_cl: 52851
% 35.58/4.95 stat_tautologies_discarded: 883
% 35.58/4.95 stat_forward_subsumed: 17190
% 35.58/4.95 stat_derived_cut: 1157
% 35.58/4.95 stat_derived_rewritten: 0
% 35.58/4.95 stat_weight_discarded_building: 0
% 35.58/4.95 stat_weight_discarded_cl: 3690
% 35.58/4.95 stat_internlimit_discarded_cl: 0
% 35.58/4.95 stat_simplified: 160 simplified 0 derived 0 given
% 35.58/4.95 stat_kept_cl: 46567
% 35.58/4.95 stat_built_cl: 55037
% 35.58/4.95 stat_hyperres_partial_cl: 0
% 35.58/4.95 stat_made_rewriters: 0
% 35.58/4.95 stat_backward_subsumed: 0
% 35.58/4.95 stat_propagated_subsumed: 0
% 35.58/4.95 stat_clsubs_attempted: 74151
% 35.58/4.95 stat_clsubs_fact_groundunit_found: 11
% 35.58/4.95 stat_clsubs_rule_groundunit_found: 56
% 35.58/4.95 stat_clsubs_top_meta_attempted: 6523956
% 35.58/4.95 stat_clsubs_top_meta_failed: 6449805
% 35.58/4.95 stat_clsubs_top_meta_nonpref_attempted: 6523956
% 35.58/4.95 stat_clsubs_top_meta_nonpref_succeeded: 1304668
% 35.58/4.95 stat_clsubs_top_meta_pref_attempted: 1304668
% 35.58/4.95 stat_clsubs_top_meta_pref1_succeeded: 925706
% 35.58/4.95 stat_clsubs_top_meta_pref2_succeeded: 156237
% 35.58/4.95 stat_clsubs_top_meta_pref3_succeeded: 74151
% 35.58/4.95 stat_clsubs_top_meta_pref_succeeded: 74151
% 35.58/4.95 stat_clsubs_meta_attempted: 116032
% 35.58/4.95 stat_clsubs_meta_failed: 41959
% 35.58/4.95 stat_clsubs_predsymbs_attempted: 0
% 35.58/4.95 stat_clsubs_unit_attempted: 38850
% 35.58/4.95 stat_clsubs_full_attempted: 35301
% 35.58/4.95 stat_forwardsubs_attempted: 67448
% 35.58/4.95 stat_lit_hash_added: 46052
% 35.58/4.95 stat_lit_hash_computed: 274559
% 35.58/4.95 stat_lit_hash_match_found: 19536
% 35.58/4.95 stat_lit_hash_match_miss: 336940
% 35.58/4.95 stat_lit_hash_cut_ok: 2119
% 35.58/4.95 stat_lit_strong_cut_ok: 88
% 35.58/4.95 stat_lit_hash_subsume_ok: 17190
% 35.58/4.95 clqueue els 10000000 used 1
% 35.58/4.95 clactive els 10000000 used 2311
% 35.58/4.95 clactivesubsume els 10000000 used 13573
% 35.58/4.95 queue_termbuf els 200000000 used 3472099
% 35.58/4.95 hyper_termbuf els 100000000 used 1
% 35.58/4.95 active_termbuf els 100000000 used 99833
% 35.58/4.95 varstack els 5000 last used 1
% 35.58/4.95 given_termbuf els 10000000 last used 1
% 35.58/4.95 simplified_termbuf els 10000000 last used 1
% 35.58/4.95 derived_termbuf els 10000000 last used 41
% 35.58/4.95 wr_mallocs: 37044
% 35.58/4.95 wr_callocs: 21
% 35.58/4.95 wr_reallocs: 8729
% 35.58/4.95 wr_frees: 4
% 35.58/4.95 wr_malloc_bytes: 4163964100
% 35.58/4.95 wr_calloc_bytes: 112065536
% 35.58/4.95 wr_realloc_bytes: 2847136
% 35.58/4.95 wr_realloc_freebytes: 0
% 35.58/4.95 ----------------------------------
%------------------------------------------------------------------------------