%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL535+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n002.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 12:08:49 PM UTC 2026
% Result : Theorem 73.67s 10.03s
% Output : CNFRefutation 73.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL535+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : gkc %s
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 11:54:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.44
% 0.10/0.44 input clause set summed statistics:
% 0.10/0.44 ----------------------------------
% 0.10/0.44 in_clause_count: 146
% 0.10/0.44 in_rule_clause_count: 146
% 0.10/0.44 in_fact_clause_count: 0
% 0.10/0.44 in_answer_clause_count: 0
% 0.10/0.44 in_ground_clause_count: 88
% 0.10/0.44 in_unit_clause_count: 30
% 0.10/0.44 in_horn_clause_count: 137
% 0.10/0.44 in_pos_clause_count: 38
% 0.10/0.44 in_neg_clause_count: 1
% 0.10/0.44 in_poseq_clause_count: 11
% 0.10/0.44 in_negeq_clause_count: 2
% 0.10/0.44 in_unitposeq_clause_count: 0
% 0.10/0.44 in_chain_clause_count: 0
% 0.10/0.44 in_min_length: 1
% 0.10/0.44 in_max_length: 4
% 0.10/0.44 in_min_depth: 1
% 0.10/0.44 in_max_depth: 5
% 0.10/0.44 in_min_size: 2
% 0.10/0.44 in_max_size: 17
% 0.10/0.44 in_min_vars: 0
% 0.10/0.44 in_max_vars: 3
% 0.10/0.44 in_extaxiom_count: 139
% 0.10/0.44 in_axiom_count: 6
% 0.10/0.44 in_assumption_count: 0
% 0.10/0.44 in_goal_count: 1
% 0.10/0.44 in_neg_goal_count: 1
% 0.10/0.44 in_pos_goal_count: 0
% 0.10/0.44 in_posunit_goal_count: 0
% 0.10/0.44
% 0.10/0.44 auto guide:
% 0.10/0.44 -----------
% 0.10/0.44 {
% 0.10/0.44 "print":1,
% 0.10/0.44 "print_level": 15,
% 0.10/0.44 "max_size": 0,
% 0.10/0.44 "max_depth": 0,
% 0.10/0.44 "max_length": 0,
% 0.10/0.44 "max_dseconds": 0,
% 0.10/0.44 "runs":[
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.10/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.44 {"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},
% 0.10/0.44 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.10/0.44 {"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},
% 0.10/0.44 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.10/0.44 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.10/0.44 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.10/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.44 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.44 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.10/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.10/0.44 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.10/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.10/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.44 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.10/0.44 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.44 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.44 {"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},
% 0.10/0.45 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.10/0.45 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.45 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.45 {"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},
% 0.10/0.45 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.10/0.45
% 0.10/0.45 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.45 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.10/0.45 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.45 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.45 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.45 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
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% 20.17/3.06 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
% 20.17/3.06
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% 20.17/3.07
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% 30.14/4.39 **** run 145 fork 0 starts with strategy
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% 30.95/4.44 **** run 144 fork 7 starts with strategy
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% 38.82/5.41 **** run 149 fork 4 starts with strategy
% 38.82/5.41 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
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% 39.65/5.58 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
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% 43.97/6.15
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% 47.15/6.53 **** run 163 fork 2 starts with strategy
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% 49.33/6.81 **** run 187 fork 2 starts with strategy
% 49.33/6.81 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
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% 50.11/7.00
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% 50.11/7.02 **** run 185 fork 0 starts with strategy
% 50.11/7.02 {"depth_penalty":50,"sine":3,"query_preference":1,"strategy":["hardness_pref","hornpref","max_weight"],"max_dseconds":10}
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% 51.20/7.07
% 51.20/7.07 **** run 154 fork 1 starts with strategy
% 51.20/7.07 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 51.20/7.11
% 51.20/7.11 **** run 193 fork 0 starts with strategy
% 51.20/7.11 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 51.89/7.17
% 51.89/7.17 fork 0: search finished without proof.
% 52.41/7.22
% 52.41/7.22 **** run 201 fork 0 starts with strategy
% 52.41/7.22 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"sine":1}
% 52.41/7.25
% 52.41/7.25 fork 0: search finished without proof.
% 52.41/7.28
% 52.41/7.28
% 52.41/7.28 fork 3: search terminated without proof.
% 53.17/7.30
% 53.17/7.30 **** run 209 fork 0 starts with strategy
% 53.17/7.31 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 53.17/7.36
% 53.17/7.36 **** run 164 fork 3 starts with strategy
% 53.17/7.36 {"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}
% 54.78/7.58
% 54.78/7.58
% 54.78/7.58 fork 4: search terminated without proof.
% 55.56/7.67
% 55.56/7.67 **** run 165 fork 4 starts with strategy
% 55.56/7.67 {"max_depth":0,"length_penalty":100,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":10}
% 57.96/7.94
% 57.96/7.94
% 57.96/7.94 fork 2: search terminated without proof.
% 57.96/7.97
% 57.96/7.97
% 57.96/7.97 fork 6: search terminated without proof.
% 57.96/8.03
% 57.96/8.03 **** run 175 fork 6 starts with strategy
% 57.96/8.03 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":10}
% 57.96/8.03
% 57.96/8.03 **** run 203 fork 2 starts with strategy
% 57.96/8.03 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
% 59.22/8.10
% 59.22/8.10
% 59.22/8.10 fork 7: search terminated without proof.
% 59.22/8.10
% 59.22/8.10
% 59.22/8.10 fork 5: search terminated without proof.
% 59.22/8.11
% 59.22/8.11
% 59.22/8.11 fork 1: search terminated without proof.
% 59.22/8.14
% 59.22/8.14 **** run 184 fork 7 starts with strategy
% 59.22/8.14 {"depth_penalty":50,"query_preference":1,"strategy":["hardness_pref","hornpref","max_weight"],"max_dseconds":10}
% 59.22/8.16
% 59.22/8.16 **** run 182 fork 5 starts with strategy
% 59.22/8.16 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":10}
% 60.00/8.16
% 60.00/8.16 **** run 162 fork 1 starts with strategy
% 60.00/8.16 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 60.31/8.20
% 60.31/8.20 fork 1: search finished without proof.
% 60.31/8.25
% 60.31/8.25 **** run 170 fork 1 starts with strategy
% 60.31/8.25 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 61.15/8.34
% 61.15/8.34 fork 3: search finished without proof.
% 61.15/8.35
% 61.15/8.35
% 61.15/8.35 fork 0: search terminated without proof.
% 61.92/8.40
% 61.92/8.40 **** run 172 fork 3 starts with strategy
% 61.92/8.40 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 61.92/8.40
% 61.92/8.40 **** run 217 fork 0 starts with strategy
% 61.92/8.40 {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 64.34/8.75
% 64.34/8.75
% 64.34/8.75 fork 4: search terminated without proof.
% 65.13/8.82
% 65.13/8.82 **** run 173 fork 4 starts with strategy
% 65.13/8.82 {"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":10}
% 67.24/9.07
% 67.24/9.07
% 67.24/9.07 fork 6: search terminated without proof.
% 67.24/9.09
% 67.24/9.09
% 67.24/9.09 fork 2: search terminated without proof.
% 67.24/9.13
% 67.24/9.13 **** run 183 fork 6 starts with strategy
% 67.24/9.13 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_depth":2,"max_dseconds":10}
% 68.04/9.17
% 68.04/9.17 **** run 211 fork 2 starts with strategy
% 68.04/9.17 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 68.04/9.17
% 68.04/9.17 fork 6: search finished without proof.
% 68.04/9.18
% 68.04/9.18
% 68.04/9.18 fork 7: search terminated without proof.
% 68.04/9.20
% 68.04/9.20
% 68.04/9.20 fork 5: search terminated without proof.
% 68.28/9.22
% 68.28/9.22 **** run 191 fork 6 starts with strategy
% 68.28/9.22 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":10}
% 68.28/9.24
% 68.28/9.24 **** run 192 fork 7 starts with strategy
% 68.28/9.24 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":10}
% 68.28/9.26
% 68.28/9.26 **** run 190 fork 5 starts with strategy
% 68.28/9.26 {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":10}
% 68.28/9.26
% 68.28/9.26 fork 6: search finished without proof.
% 68.28/9.29
% 68.28/9.29
% 68.28/9.29 fork 1: search terminated without proof.
% 69.06/9.31
% 69.06/9.31 **** run 199 fork 6 starts with strategy
% 69.06/9.31 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2}
% 69.06/9.36
% 69.06/9.36 **** run 178 fork 1 starts with strategy
% 69.06/9.36 {"max_dseconds":10,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 69.88/9.44
% 69.88/9.44
% 69.88/9.44 fork 3: search terminated without proof.
% 69.88/9.44
% 69.88/9.44
% 69.88/9.44 fork 0: search terminated without proof.
% 70.68/9.50
% 70.68/9.50 **** run 225 fork 0 starts with strategy
% 70.68/9.50 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 70.68/9.51
% 70.68/9.51 **** run 180 fork 3 starts with strategy
% 70.68/9.51 {"max_dseconds":10,"strategy":["negative_pref","max_ground_weight"],"query_preference":1}
% 73.67/10.03
% 73.67/10.03
% 73.67/10.03 result: proof found
% 73.67/10.03 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.67/10.03 by run 173 fork 4 strategy {"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":10}
% 73.67/10.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.67/10.03
% 73.67/10.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.67/10.03 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,$sk85))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 73.67/10.03 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_implies_2', axiom, implies_2,
% 73.67/10.03 input).
% 73.67/10.03 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))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 73.67/10.03 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 73.67/10.03 input).
% 73.67/10.03 fof('$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,$sk76)))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 73.67/10.03 fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_and_3', axiom, and_3,
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 73.67/10.03 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 73.67/10.03 fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 73.67/10.03 fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_km5_necessitation', axiom, necessitation,
% 73.67/10.03 input).
% 73.67/10.03 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),$sk81)))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_and_1'])).
% 73.67/10.03 fof('$inc_and_1', axiom, (and_1 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_and_1', axiom, and_1,
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 73.67/10.03 fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_km5_axiom_M', axiom, axiom_M,
% 73.67/10.03 input).
% 73.67/10.03 fof('$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,$sk91))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 73.67/10.03 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_use_substitution_of_equivalents', axiom, substitution_of_equivalents,
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 73.67/10.03 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_op_or', axiom, op_or,
% 73.67/10.03 input).
% 73.67/10.03 fof('$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))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_or_2'])).
% 73.67/10.03 fof('$inc_or_2', axiom, (or_2 <=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_or_2', axiom, or_2,
% 73.67/10.03 input).
% 73.67/10.03 fof('$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,$sk90))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_modus_tollens'])).
% 73.67/10.03 fof('$inc_modus_tollens', axiom, (modus_tollens <=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_modus_tollens', axiom, modus_tollens,
% 73.67/10.03 input).
% 73.67/10.03 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)))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_axiom_5'])).
% 73.67/10.03 fof('$inc_axiom_5', axiom, (axiom_5 <=> (! [X] : is_a_theorem(implies(possibly(X),necessarily(possibly(X)))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_km5_axiom_5', axiom, axiom_5,
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_op_possibly_$sk', plain, ((possibly(X1) = not(necessarily(not(X1)))) | ~op_possibly),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_op_possibly'])).
% 73.67/10.03 fof('$inc_op_possibly', axiom, (op_possibly => (! [X] : (possibly(X) = not(necessarily(not(X)))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_km5_op_possibly', axiom, op_possibly,
% 73.67/10.03 input).
% 73.67/10.03 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))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_axiom_m9'])).
% 73.67/10.03 fof('$inc_axiom_m9', axiom, (axiom_m9 <=> (! [X] : is_a_theorem(strict_implies(possibly(possibly(X)),possibly(X))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('s1_0_m6s3m9b_axiom_m9_$sk', plain, ~axiom_m9,
% 73.67/10.03 inference(negpush_and_skolemize,[],['s1_0_m6s3m9b_axiom_m9'])).
% 73.67/10.03 fof('s1_0_m6s3m9b_axiom_m9', conjecture, axiom_m9,
% 73.67/10.03 input).
% 73.67/10.03 fof('$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))))),
% 73.67/10.03 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 73.67/10.03 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 73.67/10.03 input).
% 73.67/10.03 fof('$inc_hilbert_implies_1', axiom, implies_1,
% 73.67/10.03 input).
% 73.67/10.03 cnf('1', plain, (~$pr(implies_2) | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 73.67/10.03 cnf('2', plain, ($pr(implies_2)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_implies_2'])).
% 73.67/10.03 cnf('3', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 73.67/10.03 inference(simplify,[],['1','2'])).
% 73.67/10.03 cnf('4', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 73.67/10.03 cnf('5', plain, ($pr(modus_ponens)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 73.67/10.03 cnf('6', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 73.67/10.03 inference(simplify,[],['4','5'])).
% 73.67/10.03 cnf('7', plain, (~is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y))),
% 73.67/10.03 inference(resolution,[],['3','6'])).
% 73.67/10.03 cnf('8', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 73.67/10.03 cnf('9', plain, ($pr(and_3)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 73.67/10.03 cnf('10', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 73.67/10.03 inference(simplify,[],['8','9'])).
% 73.67/10.03 cnf('11', plain, (is_a_theorem(implies(X,and(X,X)))),
% 73.67/10.03 inference(resolution,[],['7','10'])).
% 73.67/10.03 cnf('12', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 73.67/10.03 cnf('13', plain, ($pr(op_equiv)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 73.67/10.03 cnf('14', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 73.67/10.03 inference(simplify,[],['12','13'])).
% 73.67/10.03 cnf('15', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 73.67/10.03 inference(resolution,[],['10','6'])).
% 73.67/10.03 cnf('16', plain, (is_a_theorem(and(X,Y)) | ~is_a_theorem(Y) | ~is_a_theorem(X)),
% 73.67/10.03 inference(resolution,[],['15','6'])).
% 73.67/10.03 cnf('17', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Y,X)) | is_a_theorem(equiv(Y,X))),
% 73.67/10.03 inference(paramodulation,[],['14','16'])).
% 73.67/10.03 cnf('18', plain, (~$pr(op_strict_implies) | strict_implies(X0,X1) = necessarily(implies(X0,X1))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 73.67/10.03 cnf('19', plain, ($pr(op_strict_implies)),
% 73.67/10.03 inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 73.67/10.03 cnf('20', plain, (strict_implies(X,Y) = necessarily(implies(X,Y))),
% 73.67/10.03 inference(simplify,[],['18','19'])).
% 73.67/10.03 cnf('21', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 73.67/10.03 cnf('22', plain, ($pr(necessitation)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_km5_necessitation'])).
% 73.67/10.03 cnf('23', plain, (is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 73.67/10.03 inference(simplify,[],['21','22'])).
% 73.67/10.03 cnf('24', plain, (~is_a_theorem(implies(X,Y)) | is_a_theorem(strict_implies(X,Y))),
% 73.67/10.03 inference(paramodulation,[],['20','23'])).
% 73.67/10.03 cnf('25', plain, (~$pr(and_1) | is_a_theorem(implies(and(X0,X1),X0))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_and_1_$sk'])).
% 73.67/10.03 cnf('26', plain, ($pr(and_1)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_and_1'])).
% 73.67/10.03 cnf('27', plain, (is_a_theorem(implies(and(X,Y),X))),
% 73.67/10.03 inference(simplify,[],['25','26'])).
% 73.67/10.03 cnf('28', plain, (is_a_theorem(strict_implies(and(X,Y),X))),
% 73.67/10.03 inference(resolution,[],['24','27'])).
% 73.67/10.03 cnf('29', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 73.67/10.03 cnf('30', plain, ($pr(axiom_M)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_km5_axiom_M'])).
% 73.67/10.03 cnf('31', plain, (is_a_theorem(implies(necessarily(X),X))),
% 73.67/10.03 inference(simplify,[],['29','30'])).
% 73.67/10.03 cnf('32', plain, (~is_a_theorem(necessarily(X)) | is_a_theorem(X)),
% 73.67/10.03 inference(resolution,[],['6','31'])).
% 73.67/10.03 cnf('33', plain, (~is_a_theorem(strict_implies(X,Y)) | is_a_theorem(implies(X,Y))),
% 73.67/10.03 inference(paramodulation,[],['20','32'])).
% 73.67/10.03 cnf('34', plain, (is_a_theorem(implies(and(X3,Y3),X3))),
% 73.67/10.03 inference(resolution,[],['28','33'])).
% 73.67/10.03 cnf('35', plain, (is_a_theorem(equiv(and(X,X),X))),
% 73.67/10.03 inference(resolution,[then_simplify],['11','17','34'])).
% 73.67/10.03 cnf('36', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 73.67/10.03 cnf('37', plain, ($pr(substitution_of_equivalents)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_use_substitution_of_equivalents'])).
% 73.67/10.03 cnf('38', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 73.67/10.03 inference(simplify,[],['36','37'])).
% 73.67/10.03 cnf('39', plain, (and(X,X) = X),
% 73.67/10.03 inference(resolution,[],['35','38'])).
% 73.67/10.03 cnf('40', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 73.67/10.03 cnf('41', plain, ($pr(op_or)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_op_or'])).
% 73.67/10.03 cnf('42', plain, (or(X,Y) = not(and(not(X),not(Y)))),
% 73.67/10.03 inference(simplify,[],['40','41'])).
% 73.67/10.03 cnf('43', plain, (or(X,X) = not(not(X))),
% 73.67/10.03 inference(paramodulation,[],['39','42'])).
% 73.67/10.03 cnf('44', plain, (~$pr(or_2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_or_2_$sk'])).
% 73.67/10.03 cnf('45', plain, ($pr(or_2)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_or_2'])).
% 73.67/10.03 cnf('46', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 73.67/10.03 inference(simplify,[],['44','45'])).
% 73.67/10.03 cnf('47', plain, (is_a_theorem(implies(X,not(not(X))))),
% 73.67/10.03 inference(paramodulation,[],['43','46'])).
% 73.67/10.03 cnf('48', plain, (~$pr(modus_tollens) | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_modus_tollens_$sk'])).
% 73.67/10.03 cnf('49', plain, ($pr(modus_tollens)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_modus_tollens'])).
% 73.67/10.03 cnf('50', plain, (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))),
% 73.67/10.03 inference(simplify,[],['48','49'])).
% 73.67/10.03 cnf('51', plain, (~is_a_theorem(implies(not(X),not(Y))) | is_a_theorem(implies(Y,X))),
% 73.67/10.03 inference(resolution,[],['50','6'])).
% 73.67/10.03 cnf('52', plain, (is_a_theorem(implies(not(not(X)),X))),
% 73.67/10.03 inference(resolution,[],['47','51'])).
% 73.67/10.03 cnf('53', plain, (is_a_theorem(implies(X3,not(not(X3))))),
% 73.67/10.03 inference(paramodulation,[],['43','46'])).
% 73.67/10.03 cnf('54', plain, (is_a_theorem(equiv(X,not(not(X))))),
% 73.67/10.03 inference(resolution,[then_simplify],['52','17','53'])).
% 73.67/10.03 cnf('55', plain, (X = not(not(X))),
% 73.67/10.03 inference(resolution,[],['54','38'])).
% 73.67/10.03 cnf('56', plain, (~$pr(axiom_5) | is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_axiom_5_$sk'])).
% 73.67/10.03 cnf('57', plain, ($pr(axiom_5)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_km5_axiom_5'])).
% 73.67/10.03 cnf('58', plain, (is_a_theorem(implies(possibly(X),necessarily(possibly(X))))),
% 73.67/10.03 inference(simplify,[],['56','57'])).
% 73.67/10.03 cnf('59', plain, (is_a_theorem(strict_implies(necessarily(X),X))),
% 73.67/10.03 inference(resolution,[],['24','31'])).
% 73.67/10.03 cnf('60', plain, (is_a_theorem(implies(necessarily(X3),X3))),
% 73.67/10.03 inference(resolution,[],['59','33'])).
% 73.67/10.03 cnf('61', plain, (is_a_theorem(equiv(necessarily(possibly(X)),possibly(X)))),
% 73.67/10.03 inference(resolution,[then_simplify],['17','58','60'])).
% 73.67/10.03 cnf('62', plain, (necessarily(possibly(X)) = possibly(X)),
% 73.67/10.03 inference(resolution,[],['61','38'])).
% 73.67/10.03 cnf('63', plain, (~$pr(op_possibly) | possibly(X0) = not(necessarily(not(X0)))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_op_possibly_$sk'])).
% 73.67/10.03 cnf('64', plain, ($pr(op_possibly)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_km5_op_possibly'])).
% 73.67/10.03 cnf('65', plain, (possibly(X) = not(necessarily(not(X)))),
% 73.67/10.03 inference(simplify,[],['63','64'])).
% 73.67/10.03 cnf('66', plain, (possibly(necessarily(not(X))) = not(necessarily(possibly(X)))),
% 73.67/10.03 inference(paramodulation,[],['65','65'])).
% 73.67/10.03 cnf('67', plain, (possibly(necessarily(not(X))) = not(possibly(X))),
% 73.67/10.03 inference(paramodulation,[],['62','66'])).
% 73.67/10.03 cnf('68', plain, (~is_a_theorem(implies(X,necessarily(X))) | is_a_theorem(equiv(X,necessarily(X)))),
% 73.67/10.03 inference(resolution,[],['17','31'])).
% 73.67/10.03 cnf('69', plain, (is_a_theorem(equiv(possibly(X),necessarily(possibly(X))))),
% 73.67/10.03 inference(resolution,[],['68','58'])).
% 73.67/10.03 cnf('70', plain, (possibly(X) = necessarily(possibly(X))),
% 73.67/10.03 inference(resolution,[],['69','38'])).
% 73.67/10.03 cnf('71', plain, (possibly(necessarily(not(X))) = necessarily(not(possibly(X)))),
% 73.67/10.03 inference(paramodulation,[],['67','70'])).
% 73.67/10.03 cnf('72', plain, (not(possibly(X)) = not(necessarily(possibly(X)))),
% 73.67/10.03 inference(paramodulation,[],['67','66'])).
% 73.67/10.03 cnf('73', plain, (not(possibly(X)) = possibly(necessarily(not(X)))),
% 73.67/10.03 inference(paramodulation,[],['66','72'])).
% 73.67/10.03 cnf('74', plain, (not(possibly(X)) = necessarily(not(possibly(X)))),
% 73.67/10.03 inference(paramodulation,[],['71','73'])).
% 73.67/10.03 cnf('75', plain, (possibly(possibly(X)) = not(not(possibly(X)))),
% 73.67/10.03 inference(paramodulation,[],['74','65'])).
% 73.67/10.03 cnf('76', plain, (possibly(possibly(X)) = possibly(X)),
% 73.67/10.03 inference(paramodulation,[],['55','75'])).
% 73.67/10.03 cnf('77', plain, (~is_a_theorem(strict_implies(possibly(possibly($sk2)),possibly($sk2))) | $pr(axiom_m9)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_axiom_m9_$sk'])).
% 73.67/10.03 cnf('78', plain, (~$pr(axiom_m9)),
% 73.67/10.03 inference(cnf_transformation,[],['s1_0_m6s3m9b_axiom_m9_$sk'])).
% 73.67/10.03 cnf('79', plain, (~is_a_theorem(strict_implies(possibly(possibly($sk2)),possibly($sk2)))),
% 73.67/10.03 inference(simplify,[],['77','78'])).
% 73.67/10.03 cnf('80', plain, (~$pr(implies_1) | is_a_theorem(implies(X0,implies(X1,X0)))),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 73.67/10.03 cnf('81', plain, ($pr(implies_1)),
% 73.67/10.03 inference(cnf_transformation,[],['$inc_hilbert_implies_1'])).
% 73.67/10.03 cnf('82', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 73.67/10.03 inference(simplify,[],['80','81'])).
% 73.67/10.03 cnf('83', plain, (is_a_theorem(implies(X,X))),
% 73.67/10.03 inference(resolution,[],['7','82'])).
% 73.67/10.03 cnf('84', plain, (is_a_theorem(strict_implies(X3,X3))),
% 73.67/10.03 inference(resolution,[],['83','24'])).
% 73.67/10.03 cnf('85', plain, ($false),
% 73.67/10.03 inference(paramodulation,[then_simplify],['76','79','84'])).
% 73.67/10.03
% 73.67/10.03 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.67/10.03
% 73.67/10.03 run 173 fork 4 statistics:
% 73.67/10.03 ----------------------------------
% 73.67/10.03 this run seconds: 0.814500
% 73.67/10.03 total seconds: 8.984764
% 73.67/10.03 stat_given_used: 1318
% 73.67/10.03 stat_given_used_at_endgame: 0
% 73.67/10.03 stat_given_candidates: 5355
% 73.67/10.03 stat_given_candidates_at_endgame: 0
% 73.67/10.03 stat_given_candidates_h: 0
% 73.67/10.03 stat_binres_derived_cl: 3711
% 73.67/10.03 stat_binres_derived_cl_h: 0
% 73.67/10.03 stat_factor_derived_cl: 34
% 73.67/10.03 stat_para_derived_cl: 100539
% 73.67/10.03 stat_tautologies_discarded: 759
% 73.67/10.03 stat_forward_subsumed: 3715
% 73.67/10.03 stat_derived_cut: 3977
% 73.67/10.03 stat_derived_rewritten: 0
% 73.67/10.03 stat_weight_discarded_building: 0
% 73.67/10.03 stat_weight_discarded_cl: 33592
% 73.67/10.03 stat_internlimit_discarded_cl: 0
% 73.67/10.03 stat_simplified: 381 simplified 0 derived 0 given
% 73.67/10.03 stat_kept_cl: 65234
% 73.67/10.03 stat_built_cl: 101843
% 73.67/10.03 stat_hyperres_partial_cl: 0
% 73.67/10.03 stat_made_rewriters: 0
% 73.67/10.03 stat_backward_subsumed: 0
% 73.67/10.03 stat_propagated_subsumed: 0
% 73.67/10.03 stat_clsubs_attempted: 21369
% 73.67/10.03 stat_clsubs_fact_groundunit_found: 5
% 73.67/10.03 stat_clsubs_rule_groundunit_found: 49
% 73.67/10.03 stat_clsubs_top_meta_attempted: 2749142
% 73.67/10.03 stat_clsubs_top_meta_failed: 2727773
% 73.67/10.03 stat_clsubs_top_meta_nonpref_attempted: 2749142
% 73.67/10.03 stat_clsubs_top_meta_nonpref_succeeded: 548052
% 73.67/10.03 stat_clsubs_top_meta_pref_attempted: 548052
% 73.67/10.03 stat_clsubs_top_meta_pref1_succeeded: 260677
% 73.67/10.03 stat_clsubs_top_meta_pref2_succeeded: 36439
% 73.67/10.03 stat_clsubs_top_meta_pref3_succeeded: 21369
% 73.67/10.03 stat_clsubs_top_meta_pref_succeeded: 21369
% 73.67/10.03 stat_clsubs_meta_attempted: 40707
% 73.67/10.03 stat_clsubs_meta_failed: 15802
% 73.67/10.03 stat_clsubs_predsymbs_attempted: 0
% 73.67/10.03 stat_clsubs_unit_attempted: 6884
% 73.67/10.03 stat_clsubs_full_attempted: 14485
% 73.67/10.03 stat_forwardsubs_attempted: 102542
% 73.67/10.03 stat_lit_hash_added: 39583
% 73.67/10.03 stat_lit_hash_computed: 372176
% 73.67/10.03 stat_lit_hash_match_found: 7629
% 73.67/10.03 stat_lit_hash_match_miss: 617461
% 73.67/10.03 stat_lit_hash_cut_ok: 3857
% 73.67/10.03 stat_lit_strong_cut_ok: 369
% 73.67/10.03 stat_lit_hash_subsume_ok: 3715
% 73.67/10.03 clqueue els 10000000 used 1
% 73.67/10.03 clactive els 10000000 used 1319
% 73.67/10.03 clactivesubsume els 10000000 used 7585
% 73.67/10.03 queue_termbuf els 200000000 used 6473642
% 73.67/10.03 hyper_termbuf els 100000000 used 1
% 73.67/10.03 active_termbuf els 100000000 used 61787
% 73.67/10.03 varstack els 5000 last used 1
% 73.67/10.03 given_termbuf els 10000000 last used 1
% 73.67/10.03 simplified_termbuf els 10000000 last used 1
% 73.67/10.03 derived_termbuf els 10000000 last used 41
% 73.67/10.03 wr_mallocs: 23033
% 73.67/10.03 wr_callocs: 21
% 73.67/10.03 wr_reallocs: 7361
% 73.67/10.03 wr_frees: 4
% 73.67/10.03 wr_malloc_bytes: 4163451412
% 73.67/10.03 wr_calloc_bytes: 112065536
% 73.67/10.03 wr_realloc_bytes: 2964480
% 73.67/10.03 wr_realloc_freebytes: 0
% 73.67/10.03 ----------------------------------
%------------------------------------------------------------------------------