%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL476+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:08:42 PM UTC 2026
% Result : Theorem 110.51s 15.14s
% Output : CNFRefutation 110.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL476+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : gkc %s
% 0.10/0.36 % Computer : n008.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 5 09:15:38 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.22/0.49
% 0.22/0.49 input clause set summed statistics:
% 0.22/0.49 ----------------------------------
% 0.22/0.49 in_clause_count: 72
% 0.22/0.49 in_rule_clause_count: 72
% 0.22/0.49 in_fact_clause_count: 0
% 0.22/0.49 in_answer_clause_count: 0
% 0.22/0.49 in_ground_clause_count: 41
% 0.22/0.49 in_unit_clause_count: 12
% 0.22/0.49 in_horn_clause_count: 69
% 0.22/0.49 in_pos_clause_count: 14
% 0.22/0.49 in_neg_clause_count: 1
% 0.22/0.49 in_poseq_clause_count: 6
% 0.22/0.49 in_negeq_clause_count: 1
% 0.22/0.49 in_unitposeq_clause_count: 0
% 0.22/0.49 in_chain_clause_count: 0
% 0.22/0.49 in_min_length: 1
% 0.22/0.49 in_max_length: 4
% 0.22/0.49 in_min_depth: 1
% 0.22/0.49 in_max_depth: 5
% 0.22/0.49 in_min_size: 2
% 0.22/0.49 in_max_size: 16
% 0.22/0.49 in_min_vars: 0
% 0.22/0.49 in_max_vars: 3
% 0.22/0.49 in_extaxiom_count: 68
% 0.22/0.49 in_axiom_count: 3
% 0.22/0.49 in_assumption_count: 0
% 0.22/0.49 in_goal_count: 1
% 0.22/0.49 in_neg_goal_count: 1
% 0.22/0.49 in_pos_goal_count: 0
% 0.22/0.49 in_posunit_goal_count: 0
% 0.22/0.49
% 0.22/0.49 auto guide:
% 0.22/0.49 -----------
% 0.22/0.49 {
% 0.22/0.49 "print":1,
% 0.22/0.49 "print_level": 15,
% 0.22/0.49 "max_size": 0,
% 0.22/0.49 "max_depth": 0,
% 0.22/0.49 "max_length": 0,
% 0.22/0.49 "max_dseconds": 0,
% 0.22/0.49 "runs":[
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.50 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.50 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.50 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.50 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.50 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.50 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.50 {"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},
% 0.22/0.50 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.50 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.50 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.50 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.50 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.50 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.22/0.50 {"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},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.50 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.50 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.50 {"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},
% 0.22/0.50 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.50 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.50 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.50 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.22/0.50
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.22/0.50 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.50 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
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% 10.11/1.99 **** run 99 fork 2 starts with strategy
% 10.11/1.99 {"max_dseconds":1,"strategy":["negative_pref","max_ground_weight"],"query_preference":0}
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% 10.11/2.01 **** run 84 fork 3 starts with strategy
% 10.11/2.02 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
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% 10.11/2.03 **** run 80 fork 7 starts with strategy
% 10.11/2.03 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"max_depth":2}
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% 10.11/2.05 fork 7: search finished without proof.
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% 10.11/2.05 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
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% 10.11/2.06 fork 4: search finished without proof.
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% 11.39/2.10 {"var_weight":70,"repeat_var_weight":70,"rewrite":0,"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["hardness_pref","max_weight"],"max_dseconds":1}
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% 12.53/2.20 **** run 92 fork 3 starts with strategy
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% 12.53/2.21 **** run 115 fork 2 starts with strategy
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% 12.53/2.24 **** run 103 fork 6 starts with strategy
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% 12.53/2.28 **** run 70 fork 5 starts with strategy
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% 13.29/2.31 {"max_dseconds":1,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
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% 13.29/2.32 fork 4: search finished without proof.
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% 42.98/6.19 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
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% 43.39/6.27 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 43.39/6.28
% 43.39/6.28 **** run 151 fork 6 starts with strategy
% 43.39/6.28 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":10}
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% 44.07/6.37 {"max_dseconds":10,"strategy":["unit","pure_unit"],"max_size":30,"max_depth":10,"max_weight":300,"weight_select_ratio":1,"rewrite":0}
% 44.07/6.38
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% 44.76/6.43 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
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% 44.76/6.44 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
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% 45.47/6.57 fork 2: search finished without proof.
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% 46.14/6.61 **** run 171 fork 2 starts with strategy
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% 46.14/6.69 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":2,"strategy":["unit"],"max_dseconds":10}
% 46.84/6.73
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% 46.84/6.78 **** run 154 fork 1 starts with strategy
% 46.84/6.78 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":10}
% 48.27/6.98
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% 48.27/7.04 **** run 153 fork 0 starts with strategy
% 48.27/7.04 {"sine":1,"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":10}
% 49.32/7.08
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% 49.32/7.13 **** run 161 fork 0 starts with strategy
% 49.32/7.13 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1,"max_size":17}
% 51.01/7.30
% 51.01/7.30 fork 6: search finished without proof.
% 51.01/7.36
% 51.01/7.36 **** run 159 fork 6 starts with strategy
% 51.01/7.36 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 51.67/7.42
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% 51.67/7.45 **** run 156 fork 3 starts with strategy
% 51.67/7.45 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"equality":0}
% 51.67/7.46
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% 53.81/7.78 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"length_penalty":100}
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% 54.51/7.85 fork 1: search finished without proof.
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% 55.17/7.98 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":1}
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% 55.17/8.03 fork 4: search finished without proof.
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% 55.17/8.03 **** run 187 fork 2 starts with strategy
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% 56.24/8.15 {"weight_select_ratio":100,"query_preference":1,"strategy":["negative_pref"],"max_dseconds":10}
% 56.99/8.19
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% 56.99/8.19 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
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% 62.10/8.91 fork 7: search finished without proof.
% 62.10/8.94
% 62.10/8.94 **** run 158 fork 5 starts with strategy
% 62.10/8.94 {"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["positive_pref"],"max_dseconds":10}
% 62.10/8.96
% 62.10/8.96 **** run 200 fork 7 starts with strategy
% 62.10/8.96 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
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% 66.74/9.57 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"sine":2}
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% 67.51/9.68 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"sine":1}
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% 69.08/9.89
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% 69.90/10.03 **** run 166 fork 5 starts with strategy
% 69.90/10.03 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 69.90/10.04
% 69.90/10.04 **** run 208 fork 7 starts with strategy
% 69.90/10.04 {"sine":1,"rewrite":0,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 71.12/10.08
% 71.12/10.08 fork 7: search finished without proof.
% 71.12/10.13
% 71.12/10.13 **** run 216 fork 7 starts with strategy
% 71.12/10.13 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":10}
% 72.28/10.22
% 72.28/10.22
% 72.28/10.22 fork 1: search terminated without proof.
% 72.28/10.24
% 72.28/10.24
% 72.28/10.24 fork 4: search terminated without proof.
% 72.28/10.27
% 72.28/10.27 **** run 189 fork 4 starts with strategy
% 72.28/10.27 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 72.28/10.29
% 72.28/10.29 fork 4: search finished without proof.
% 72.28/10.29
% 72.28/10.29 **** run 178 fork 1 starts with strategy
% 72.28/10.29 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"rewrite":0}
% 73.06/10.31
% 73.06/10.31 **** run 197 fork 4 starts with strategy
% 73.06/10.31 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 73.06/10.34
% 73.06/10.34
% 73.06/10.34 fork 2: search terminated without proof.
% 73.86/10.40
% 73.86/10.40 **** run 211 fork 2 starts with strategy
% 73.86/10.40 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":10}
% 76.27/10.74
% 76.27/10.74
% 76.27/10.74 fork 0: search terminated without proof.
% 77.04/10.81
% 77.04/10.81 **** run 201 fork 0 starts with strategy
% 77.04/10.81 {"max_dseconds":10,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 77.04/10.83
% 77.04/10.83 fork 0: search finished without proof.
% 77.04/10.83
% 77.04/10.83
% 77.04/10.83 fork 3: search terminated without proof.
% 77.04/10.86
% 77.04/10.86 **** run 212 fork 3 starts with strategy
% 77.04/10.86 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"max_depth":2}
% 77.04/10.87
% 77.04/10.87 fork 3: search finished without proof.
% 77.04/10.87
% 77.04/10.87 **** run 209 fork 0 starts with strategy
% 77.04/10.87 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 77.83/10.90
% 77.83/10.90 **** run 220 fork 3 starts with strategy
% 77.83/10.90 {"depth_penalty":50,"query_preference":1,"strategy":["hardness_pref","hornpref","max_weight"],"max_dseconds":10}
% 77.83/10.90
% 77.83/10.90
% 77.83/10.90 fork 6: search terminated without proof.
% 77.83/10.99
% 77.83/10.99 **** run 183 fork 6 starts with strategy
% 77.83/10.99 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":2}
% 77.83/11.04
% 77.83/11.04
% 77.83/11.04 fork 5: search terminated without proof.
% 79.09/11.11
% 79.09/11.11 **** run 174 fork 5 starts with strategy
% 79.09/11.11 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 79.09/11.14
% 79.09/11.14
% 79.09/11.14 fork 7: search terminated without proof.
% 79.09/11.15
% 79.09/11.15 fork 5: search finished without proof.
% 79.93/11.20
% 79.93/11.20 **** run 182 fork 5 starts with strategy
% 79.93/11.20 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 80.23/11.21
% 80.23/11.21 **** run 224 fork 7 starts with strategy
% 80.23/11.21 {"query_preference":1,"strategy":["unit","max_weight"],"max_dseconds":10}
% 81.00/11.31
% 81.00/11.31
% 81.00/11.31 fork 1: search terminated without proof.
% 81.00/11.33
% 81.00/11.33
% 81.00/11.33 fork 4: search terminated without proof.
% 81.00/11.35
% 81.00/11.35 **** run 205 fork 4 starts with strategy
% 81.00/11.35 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":10}
% 81.00/11.37
% 81.00/11.37 **** run 186 fork 1 starts with strategy
% 81.00/11.37 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100}
% 81.82/11.46
% 81.82/11.46
% 81.82/11.46 fork 2: search terminated without proof.
% 82.61/11.53
% 82.61/11.53 **** run 219 fork 2 starts with strategy
% 82.61/11.53 {"max_dseconds":10,"strategy":["query_focus","posunitpara"],"query_preference":1,"depth_penalty":50,"length_penalty":100}
% 85.02/11.89
% 85.02/11.89
% 85.02/11.89 fork 0: search terminated without proof.
% 85.80/11.91
% 85.80/11.91
% 85.80/11.91 fork 3: search terminated without proof.
% 85.80/11.94
% 85.80/11.94 **** run 228 fork 3 starts with strategy
% 85.80/11.94 {"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":10}
% 85.80/11.95
% 85.80/11.95 **** run 217 fork 0 starts with strategy
% 85.80/11.95 {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight","prohibit_unordered_para"],"max_dseconds":10}
% 85.80/11.97
% 85.80/11.97 fork 3: search finished without proof.
% 85.80/12.00
% 85.80/12.00 **** run 236 fork 3 starts with strategy
% 85.80/12.00 {"max_dseconds":50,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 85.80/12.01
% 85.80/12.01
% 85.80/12.01 fork 6: search terminated without proof.
% 87.06/12.10
% 87.06/12.10 **** run 191 fork 6 starts with strategy
% 87.06/12.10 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":2,"sine":1}
% 87.06/12.15
% 87.06/12.15 fork 6: search finished without proof.
% 88.22/12.21
% 88.22/12.21
% 88.22/12.21 fork 5: search terminated without proof.
% 88.22/12.22
% 88.22/12.22 **** run 199 fork 6 starts with strategy
% 88.22/12.22 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"sine":1}
% 88.22/12.23
% 88.22/12.23
% 88.22/12.23 fork 7: search terminated without proof.
% 88.22/12.27
% 88.22/12.27 fork 6: search finished without proof.
% 88.22/12.29
% 88.22/12.29 **** run 190 fork 5 starts with strategy
% 88.22/12.29 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"depth_penalty":100,"sine":1}
% 88.22/12.29
% 88.22/12.29 **** run 232 fork 7 starts with strategy
% 88.22/12.29 {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":10,"sine":2}
% 88.96/12.32
% 88.96/12.32 fork 5: search finished without proof.
% 88.96/12.33
% 88.96/12.33 fork 7: search finished without proof.
% 88.96/12.35
% 88.96/12.35 **** run 207 fork 6 starts with strategy
% 88.96/12.35 {"max_dseconds":10,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 88.96/12.37
% 88.96/12.37 **** run 198 fork 5 starts with strategy
% 88.96/12.37 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"max_depth":6,"var_weight":1}
% 88.96/12.38
% 88.96/12.38 **** run 240 fork 7 starts with strategy
% 88.96/12.38 {"max_dseconds":50,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 88.96/12.38
% 88.96/12.38
% 88.96/12.38 fork 4: search terminated without proof.
% 88.96/12.38
% 88.96/12.38
% 88.96/12.38 fork 1: search terminated without proof.
% 89.75/12.42
% 89.75/12.42 **** run 213 fork 4 starts with strategy
% 89.75/12.42 {"max_dseconds":10,"strategy":["hardness_pref","posunitpara"],"query_preference":1,"sine":1}
% 89.75/12.45
% 89.75/12.45 **** run 194 fork 1 starts with strategy
% 89.75/12.45 {"max_depth":0,"length_penalty":100,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":10}
% 89.75/12.45
% 89.75/12.45 fork 4: search finished without proof.
% 89.75/12.47
% 89.75/12.47 **** run 221 fork 4 starts with strategy
% 89.75/12.47 {"rewrite":0,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","hornpref"],"max_dseconds":10}
% 90.56/12.55
% 90.56/12.55 fork 2: search finished without proof.
% 91.40/12.61
% 91.40/12.61 **** run 227 fork 2 starts with strategy
% 91.40/12.61 {"sine":1,"rewrite":0,"depth_penalty":50,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":10}
% 91.40/12.65
% 91.40/12.65 fork 2: search finished without proof.
% 92.16/12.70
% 92.16/12.70 **** run 235 fork 2 starts with strategy
% 92.16/12.70 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":1}
% 93.77/12.97
% 93.77/12.97
% 93.77/12.97 fork 0: search terminated without proof.
% 93.77/13.04
% 93.77/13.04 **** run 225 fork 0 starts with strategy
% 93.77/13.04 {"sine":1,"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["unit"],"max_dseconds":10}
% 94.95/13.08
% 94.95/13.08 fork 0: search finished without proof.
% 94.95/13.13
% 94.95/13.13 **** run 233 fork 0 starts with strategy
% 94.95/13.13 {"max_dseconds":50,"strategy":["unit"],"query_preference":1}
% 96.92/13.36
% 96.92/13.36
% 96.92/13.36 fork 6: search terminated without proof.
% 96.92/13.39
% 96.92/13.39
% 96.92/13.39 fork 5: search terminated without proof.
% 97.73/13.44
% 97.73/13.44 **** run 206 fork 5 starts with strategy
% 97.73/13.44 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":10}
% 97.73/13.46
% 97.73/13.46 **** run 215 fork 6 starts with strategy
% 97.73/13.46 {"max_dseconds":10,"strategy":["negative_pref","max_ground_weight"],"query_preference":0}
% 97.73/13.46
% 97.73/13.46
% 97.73/13.46 fork 1: search terminated without proof.
% 97.73/13.49
% 97.73/13.49
% 97.73/13.49 fork 4: search terminated without proof.
% 98.57/13.53
% 98.57/13.53 **** run 229 fork 4 starts with strategy
% 98.57/13.53 {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":10}
% 98.57/13.54
% 98.57/13.54 **** run 202 fork 1 starts with strategy
% 98.57/13.54 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 98.57/13.58
% 98.57/13.58 fork 1: search finished without proof.
% 99.32/13.63
% 99.32/13.63 **** run 210 fork 1 starts with strategy
% 99.32/13.63 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":10}
% 105.69/14.45
% 105.69/14.45
% 105.69/14.45 fork 5: search terminated without proof.
% 105.69/14.48
% 105.69/14.48
% 105.69/14.48 fork 6: search terminated without proof.
% 106.50/14.52
% 106.50/14.52 **** run 214 fork 5 starts with strategy
% 106.50/14.52 {"max_dseconds":10,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 106.50/14.55
% 106.50/14.55
% 106.50/14.55 fork 4: search terminated without proof.
% 106.50/14.56
% 106.50/14.56 **** run 223 fork 6 starts with strategy
% 106.50/14.56 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 106.50/14.59
% 106.50/14.59 **** run 237 fork 4 starts with strategy
% 106.50/14.59 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 107.28/14.61
% 107.28/14.61 fork 6: search finished without proof.
% 107.28/14.64
% 107.28/14.64
% 107.28/14.64 fork 1: search terminated without proof.
% 107.28/14.69
% 107.28/14.69 **** run 231 fork 6 starts with strategy
% 107.28/14.69 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":10}
% 108.04/14.72
% 108.04/14.72 **** run 218 fork 1 starts with strategy
% 108.04/14.72 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 110.51/15.14
% 110.51/15.14
% 110.51/15.14 result: proof found
% 110.51/15.14 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.51/15.14 by run 240 fork 7 strategy {"max_dseconds":50,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 110.51/15.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.51/15.14
% 110.51/15.14 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.51/15.14 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 110.51/15.14 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_luka_op_or', axiom, op_or,
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_cn1_$sk', plain, ((~cn1 | is_a_theorem(implies(implies(X3,X2),implies(implies(X2,X1),implies(X3,X1))))) & (cn1 | ~is_a_theorem(implies(implies($sk17,$sk16),implies(implies($sk16,$sk15),implies($sk17,$sk15)))))),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_cn1'])).
% 110.51/15.14 fof('$inc_cn1', axiom, (cn1 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))))),
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_luka_cn1', axiom, cn1,
% 110.51/15.14 input).
% 110.51/15.14 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($sk55) & (is_a_theorem(implies($sk54,$sk55)) & is_a_theorem($sk54))))),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 110.51/15.14 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_luka_modus_ponens', axiom, modus_ponens,
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_cn2_$sk', plain, ((~cn2 | is_a_theorem(implies(X2,implies(not(X2),X1)))) & (cn2 | ~is_a_theorem(implies($sk14,implies(not($sk14),$sk13))))),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_cn2'])).
% 110.51/15.14 fof('$inc_cn2', axiom, (cn2 <=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))))),
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_luka_cn2', axiom, cn2,
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_cn3_$sk', plain, ((~cn3 | is_a_theorem(implies(implies(not(X1),X1),X1))) & (cn3 | ~is_a_theorem(implies(implies(not($sk12),$sk12),$sk12)))),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_cn3'])).
% 110.51/15.14 fof('$inc_cn3', axiom, (cn3 <=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)))),
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_luka_cn3', axiom, cn3,
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 110.51/15.14 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_luka_op_equiv', axiom, op_equiv,
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 110.51/15.14 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 110.51/15.14 input).
% 110.51/15.14 fof('principia_op_and', axiom, op_and,
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 110.51/15.14 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 110.51/15.14 input).
% 110.51/15.14 fof('principia_op_implies_or', axiom, op_implies_or,
% 110.51/15.14 input).
% 110.51/15.14 fof('$inc_r2_$sk', plain, ((~r2 | is_a_theorem(implies(X2,or(X1,X2)))) & (r2 | ~is_a_theorem(implies($sk10,or($sk9,$sk10))))),
% 110.51/15.14 inference(negpush_and_skolemize,[],['$inc_r2'])).
% 110.51/15.14 fof('$inc_r2', axiom, (r2 <=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))))),
% 110.51/15.14 input).
% 110.51/15.14 fof('principia_r2_$sk', plain, ~r2,
% 110.51/15.14 inference(negpush_and_skolemize,[],['principia_r2'])).
% 110.51/15.14 fof('principia_r2', conjecture, r2,
% 110.51/15.14 input).
% 110.51/15.14 cnf('1', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 110.51/15.14 cnf('2', plain, ($pr(op_or)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_luka_op_or'])).
% 110.51/15.14 cnf('3', plain, (or(X,Y) = not(and(not(X),not(Y)))),
% 110.51/15.14 inference(simplify,[],['1','2'])).
% 110.51/15.14 cnf('4', plain, (~$pr(cn1) | is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_cn1_$sk'])).
% 110.51/15.14 cnf('5', plain, ($pr(cn1)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_luka_cn1'])).
% 110.51/15.14 cnf('6', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 110.51/15.14 inference(simplify,[],['4','5'])).
% 110.51/15.14 cnf('7', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 110.51/15.14 cnf('8', plain, ($pr(modus_ponens)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_luka_modus_ponens'])).
% 110.51/15.14 cnf('9', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 110.51/15.14 inference(simplify,[],['7','8'])).
% 110.51/15.14 cnf('10', plain, (is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | ~is_a_theorem(implies(Z,X))),
% 110.51/15.14 inference(resolution,[],['6','9'])).
% 110.51/15.14 cnf('11', plain, (~$pr(cn2) | is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_cn2_$sk'])).
% 110.51/15.14 cnf('12', plain, ($pr(cn2)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_luka_cn2'])).
% 110.51/15.14 cnf('13', plain, (is_a_theorem(implies(X,implies(not(X),Y)))),
% 110.51/15.14 inference(simplify,[],['11','12'])).
% 110.51/15.14 cnf('14', plain, (is_a_theorem(implies(implies(implies(not(X),Y),Z),implies(X,Z)))),
% 110.51/15.14 inference(resolution,[],['10','13'])).
% 110.51/15.14 cnf('15', plain, (~is_a_theorem(implies(implies(not(X),Y),Z)) | is_a_theorem(implies(X,Z))),
% 110.51/15.14 inference(resolution,[],['14','9'])).
% 110.51/15.14 cnf('16', plain, (~$pr(cn3) | is_a_theorem(implies(implies(not(X0),X0),X0))),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_cn3_$sk'])).
% 110.51/15.14 cnf('17', plain, ($pr(cn3)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_luka_cn3'])).
% 110.51/15.14 cnf('18', plain, (is_a_theorem(implies(implies(not(X),X),X))),
% 110.51/15.14 inference(simplify,[],['16','17'])).
% 110.51/15.14 cnf('19', plain, (is_a_theorem(implies(X,X))),
% 110.51/15.14 inference(resolution,[],['15','18'])).
% 110.51/15.14 cnf('20', plain, (is_a_theorem(implies(not(X),Y)) | ~is_a_theorem(X)),
% 110.51/15.14 inference(resolution,[],['9','13'])).
% 110.51/15.14 cnf('21', plain, (is_a_theorem(implies(not(implies(X,X)),Y))),
% 110.51/15.14 inference(resolution,[],['19','20'])).
% 110.51/15.14 cnf('22', plain, (is_a_theorem(implies(implies(X,Y),implies(not(implies(Z,Z)),Y)))),
% 110.51/15.14 inference(resolution,[],['21','10'])).
% 110.51/15.14 cnf('23', plain, (is_a_theorem(implies(X,implies(not(implies(Y,Y)),Z)))),
% 110.51/15.14 inference(resolution,[],['22','15'])).
% 110.51/15.14 cnf('24', plain, (is_a_theorem(implies(implies(implies(not(implies(X,X)),Y),Z),implies(U,Z)))),
% 110.51/15.14 inference(resolution,[],['23','10'])).
% 110.51/15.14 cnf('25', plain, (~is_a_theorem(implies(implies(not(implies(X,X)),Y),Z)) | is_a_theorem(implies(U,Z))),
% 110.51/15.14 inference(resolution,[],['24','9'])).
% 110.51/15.14 cnf('26', plain, (is_a_theorem(implies(X,implies(Y,Y)))),
% 110.51/15.14 inference(resolution,[],['25','18'])).
% 110.51/15.14 cnf('27', plain, (is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y)))),
% 110.51/15.14 inference(resolution,[],['26','10'])).
% 110.51/15.14 cnf('28', plain, (~is_a_theorem(implies(implies(X,X),Y)) | is_a_theorem(implies(Z,Y))),
% 110.51/15.14 inference(resolution,[],['27','9'])).
% 110.51/15.14 cnf('29', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(not(X),X),Y)))),
% 110.51/15.14 inference(resolution,[],['10','18'])).
% 110.51/15.14 cnf('30', plain, (is_a_theorem(implies(X,implies(implies(not(Y),Y),Y)))),
% 110.51/15.14 inference(resolution,[],['28','29'])).
% 110.51/15.14 cnf('31', plain, (is_a_theorem(implies(implies(implies(implies(not(X),X),X),Y),implies(Z,Y)))),
% 110.51/15.14 inference(resolution,[],['30','10'])).
% 110.51/15.14 cnf('32', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(implies(not(U),U),U),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['31','10'])).
% 110.51/15.14 cnf('33', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 110.51/15.14 cnf('34', plain, ($pr(op_equiv)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_luka_op_equiv'])).
% 110.51/15.14 cnf('35', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 110.51/15.14 inference(simplify,[],['33','34'])).
% 110.51/15.14 cnf('36', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,U),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['27','10'])).
% 110.51/15.14 cnf('37', plain, (~is_a_theorem(implies(implies(implies(not(X),X),X),Y)) | is_a_theorem(implies(Z,Y))),
% 110.51/15.14 inference(resolution,[],['31','9'])).
% 110.51/15.14 cnf('38', plain, (is_a_theorem(implies(X,implies(implies(implies(Y,Y),Z),Z)))),
% 110.51/15.14 inference(resolution,[],['36','37'])).
% 110.51/15.14 cnf('39', plain, (~is_a_theorem(implies(not(X),X)) | is_a_theorem(X)),
% 110.51/15.14 inference(resolution,[],['9','18'])).
% 110.51/15.14 cnf('40', plain, (is_a_theorem(implies(implies(implies(X,X),Y),Y))),
% 110.51/15.14 inference(resolution,[],['38','39'])).
% 110.51/15.14 cnf('41', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(implies(Z,Z),X),Y)))),
% 110.51/15.14 inference(resolution,[],['40','10'])).
% 110.51/15.14 cnf('42', plain, (is_a_theorem(implies(X3,implies(implies(implies(Y3,Y3),not(X3)),Z3)))),
% 110.51/15.14 inference(resolution,[],['41','15'])).
% 110.51/15.14 cnf('43', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 110.51/15.14 cnf('44', plain, ($pr(op_and)),
% 110.51/15.14 inference(cnf_transformation,[],['principia_op_and'])).
% 110.51/15.14 cnf('45', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 110.51/15.14 cnf('46', plain, ($pr(op_implies_or)),
% 110.51/15.14 inference(cnf_transformation,[],['principia_op_implies_or'])).
% 110.51/15.14 cnf('47', plain, (implies(X,Y) = or(not(X),Y)),
% 110.51/15.14 inference(simplify,[],['45','46'])).
% 110.51/15.14 cnf('48', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 110.51/15.14 inference(simplify,[then_simplify],['43','44','47'])).
% 110.51/15.14 cnf('49', plain, (implies(implies(X,not(Y)),Z) = or(and(X,Y),Z)),
% 110.51/15.14 inference(paramodulation,[],['48','47'])).
% 110.51/15.14 cnf('50', plain, (is_a_theorem(implies(X,or(and(implies(Y,Y),X),Z)))),
% 110.51/15.14 inference(simplify,[],['42','49'])).
% 110.51/15.14 cnf('51', plain, (~is_a_theorem(implies(implies(X,X),Y)) | is_a_theorem(Y)),
% 110.51/15.14 inference(resolution,[],['40','9'])).
% 110.51/15.14 cnf('52', plain, (is_a_theorem(or(and(implies(X,X),implies(Y,Y)),Z))),
% 110.51/15.14 inference(resolution,[],['50','51'])).
% 110.51/15.14 cnf('53', plain, (is_a_theorem(or(equiv(X,X),Y))),
% 110.51/15.14 inference(paramodulation,[],['35','52'])).
% 110.51/15.14 cnf('54', plain, (is_a_theorem(implies(X,implies(implies(Y,Z),implies(not(X),Z))))),
% 110.51/15.14 inference(resolution,[],['15','6'])).
% 110.51/15.14 cnf('55', plain, (is_a_theorem(implies(implies(X,Y),implies(not(Z),Y))) | ~is_a_theorem(Z)),
% 110.51/15.14 inference(resolution,[],['54','9'])).
% 110.51/15.14 cnf('56', plain, (is_a_theorem(implies(implies(X,Y),implies(not(or(equiv(Z,Z),U)),Y)))),
% 110.51/15.14 inference(resolution,[],['53','55'])).
% 110.51/15.14 cnf('57', plain, (is_a_theorem(implies(X,implies(not(or(equiv(Y,Y),Z)),U)))),
% 110.51/15.14 inference(resolution,[],['56','37'])).
% 110.51/15.14 cnf('58', plain, (is_a_theorem(implies(implies(implies(not(or(equiv(X,X),Y)),Z),U),implies(V,U)))),
% 110.51/15.14 inference(resolution,[],['57','10'])).
% 110.51/15.14 cnf('59', plain, (is_a_theorem(implies(X,implies(Y,or(equiv(Z,Z),U))))),
% 110.51/15.14 inference(resolution,[],['58','37'])).
% 110.51/15.14 cnf('60', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(not(X),U),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['14','10'])).
% 110.51/15.14 cnf('61', plain, (is_a_theorem(implies(implies(implies(implies(implies(X,X),Y),Y),Z),implies(U,Z)))),
% 110.51/15.14 inference(resolution,[],['38','10'])).
% 110.51/15.14 cnf('62', plain, (~is_a_theorem(implies(implies(implies(implies(X,X),Y),Y),Z)) | is_a_theorem(implies(U,Z))),
% 110.51/15.14 inference(resolution,[],['61','9'])).
% 110.51/15.14 cnf('63', plain, (is_a_theorem(implies(X,implies(implies(implies(not(implies(Y,Y)),Z),U),U)))),
% 110.51/15.14 inference(resolution,[],['60','62'])).
% 110.51/15.14 cnf('64', plain, (is_a_theorem(implies(X,implies(implies(implies(not(not(Y)),Z),Y),Y)))),
% 110.51/15.14 inference(resolution,[],['60','37'])).
% 110.51/15.14 cnf('65', plain, (is_a_theorem(implies(implies(implies(not(not(X)),Y),X),X))),
% 110.51/15.14 inference(resolution,[],['64','51'])).
% 110.51/15.14 cnf('66', plain, (~is_a_theorem(implies(implies(not(not(X)),Y),X)) | is_a_theorem(X)),
% 110.51/15.14 inference(resolution,[],['65','9'])).
% 110.51/15.14 cnf('67', plain, (is_a_theorem(implies(implies(implies(not(implies(X,X)),Y),Z),Z))),
% 110.51/15.14 inference(resolution,[],['63','66'])).
% 110.51/15.14 cnf('68', plain, (~is_a_theorem(implies(implies(not(implies(X,X)),Y),Z)) | is_a_theorem(Z)),
% 110.51/15.14 inference(resolution,[],['67','9'])).
% 110.51/15.14 cnf('69', plain, (is_a_theorem(implies(X,or(equiv(Y,Y),Z)))),
% 110.51/15.14 inference(resolution,[],['59','68'])).
% 110.51/15.14 cnf('70', plain, (is_a_theorem(implies(implies(or(equiv(X,X),Y),Z),implies(U,Z)))),
% 110.51/15.14 inference(resolution,[],['69','10'])).
% 110.51/15.14 cnf('71', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(or(equiv(U,U),V),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['70','10'])).
% 110.51/15.14 cnf('72', plain, (is_a_theorem(implies(X,implies(implies(or(equiv(Y,Y),Z),U),U)))),
% 110.51/15.14 inference(resolution,[],['71','62'])).
% 110.51/15.14 cnf('73', plain, (is_a_theorem(implies(implies(implies(implies(or(equiv(X,X),Y),Z),Z),U),implies(V,U)))),
% 110.51/15.14 inference(resolution,[],['72','10'])).
% 110.51/15.14 cnf('74', plain, (~is_a_theorem(implies(implies(implies(or(equiv(X,X),Y),Z),Z),U)) | is_a_theorem(implies(V,U))),
% 110.51/15.14 inference(resolution,[],['73','9'])).
% 110.51/15.14 cnf('75', plain, (is_a_theorem(implies(X,implies(implies(implies(implies(not(Y),Y),Y),Z),Z)))),
% 110.51/15.14 inference(resolution,[],['32','74'])).
% 110.51/15.14 cnf('76', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U)))),
% 110.51/15.14 inference(resolution,[],['10','6'])).
% 110.51/15.14 cnf('77', plain, (~is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(implies(Z,X),U))),
% 110.51/15.14 inference(resolution,[],['76','9'])).
% 110.51/15.14 cnf('78', plain, (is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(Z,implies(X,Y))))),
% 110.51/15.14 inference(resolution,[],['77','31'])).
% 110.51/15.14 cnf('79', plain, (is_a_theorem(implies(implies(not(X),Y),implies(Z,implies(implies(Y,X),X))))),
% 110.51/15.14 inference(resolution,[],['78','77'])).
% 110.51/15.14 cnf('80', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(not(Z),Y)),U),implies(Z,U)))),
% 110.51/15.14 inference(resolution,[],['54','10'])).
% 110.51/15.14 cnf('81', plain, (~is_a_theorem(implies(implies(implies(X,Y),implies(not(Z),Y)),U)) | is_a_theorem(implies(Z,U))),
% 110.51/15.14 inference(resolution,[],['80','9'])).
% 110.51/15.14 cnf('82', plain, (is_a_theorem(implies(X,implies(Y,implies(not(X),Z))))),
% 110.51/15.14 inference(resolution,[],['81','58'])).
% 110.51/15.14 cnf('83', plain, (is_a_theorem(implies(implies(implies(X,implies(not(Y),Z)),U),implies(Y,U)))),
% 110.51/15.14 inference(resolution,[],['82','10'])).
% 110.51/15.14 cnf('84', plain, (~is_a_theorem(implies(implies(X,implies(not(Y),Z)),U)) | is_a_theorem(implies(Y,U))),
% 110.51/15.14 inference(resolution,[],['83','9'])).
% 110.51/15.14 cnf('85', plain, (is_a_theorem(implies(X,implies(Y,implies(Z,X))))),
% 110.51/15.14 inference(resolution,[],['78','84'])).
% 110.51/15.14 cnf('86', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(Z,U)))),
% 110.51/15.14 inference(resolution,[],['85','10'])).
% 110.51/15.14 cnf('87', plain, (is_a_theorem(implies(implies(implies(implies(not(X),X),Y),Z),implies(implies(X,Y),Z)))),
% 110.51/15.14 inference(resolution,[],['29','10'])).
% 110.51/15.14 cnf('88', plain, (~is_a_theorem(implies(implies(implies(not(X),X),Y),Z)) | is_a_theorem(implies(implies(X,Y),Z))),
% 110.51/15.14 inference(resolution,[],['87','9'])).
% 110.51/15.14 cnf('89', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z)))),
% 110.51/15.14 inference(resolution,[],['86','88'])).
% 110.51/15.14 cnf('90', plain, (~is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(implies(Y,Z))),
% 110.51/15.14 inference(resolution,[],['89','9'])).
% 110.51/15.14 cnf('91', plain, (is_a_theorem(implies(X,implies(Y,implies(implies(X,Z),Z))))),
% 110.51/15.14 inference(resolution,[],['79','90'])).
% 110.51/15.14 cnf('92', plain, (is_a_theorem(implies(X,implies(implies(Y,Z),Z))) | ~is_a_theorem(Y)),
% 110.51/15.14 inference(resolution,[],['91','9'])).
% 110.51/15.14 cnf('93', plain, (is_a_theorem(implies(X,implies(Y,implies(Z,Y))))),
% 110.51/15.14 inference(resolution,[],['86','74'])).
% 110.51/15.14 cnf('94', plain, (is_a_theorem(implies(X,implies(Y,implies(not(Y),Z))))),
% 110.51/15.14 inference(resolution,[],['28','14'])).
% 110.51/15.14 cnf('95', plain, (is_a_theorem(implies(implies(implies(X,implies(not(X),Y)),Z),implies(U,Z)))),
% 110.51/15.14 inference(resolution,[],['94','10'])).
% 110.51/15.14 cnf('96', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,implies(not(U),V)),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['95','10'])).
% 110.51/15.14 cnf('97', plain, (is_a_theorem(implies(X,implies(implies(implies(Y,implies(not(Y),Z)),U),U)))),
% 110.51/15.14 inference(resolution,[],['96','74'])).
% 110.51/15.14 cnf('98', plain, (is_a_theorem(implies(and(not(X),X),Y))),
% 110.51/15.14 inference(paramodulation,[],['48','21'])).
% 110.51/15.14 cnf('99', plain, (is_a_theorem(implies(implies(X,Y),implies(and(not(Z),Z),Y)))),
% 110.51/15.14 inference(resolution,[],['98','10'])).
% 110.51/15.14 cnf('100', plain, (is_a_theorem(implies(X,implies(and(not(Y),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['99','15'])).
% 110.51/15.14 cnf('101', plain, (is_a_theorem(implies(implies(implies(and(not(X),X),Y),Z),implies(U,Z)))),
% 110.51/15.14 inference(resolution,[],['100','10'])).
% 110.51/15.14 cnf('102', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(and(not(U),U),V),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['101','10'])).
% 110.51/15.14 cnf('103', plain, (is_a_theorem(implies(X,implies(implies(implies(and(not(Y),Y),Z),U),U)))),
% 110.51/15.14 inference(resolution,[],['102','62'])).
% 110.51/15.14 cnf('104', plain, (is_a_theorem(implies(X,implies(Y,implies(Z,Z))))),
% 110.51/15.14 inference(resolution,[],['28','27'])).
% 110.51/15.14 cnf('105', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Y)),Z),implies(U,Z)))),
% 110.51/15.14 inference(resolution,[],['104','10'])).
% 110.51/15.14 cnf('106', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,implies(V,V)),Y),Z)))),
% 110.51/15.14 inference(resolution,[],['105','10'])).
% 110.51/15.14 cnf('107', plain, (is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Z)),U),U)))),
% 110.51/15.14 inference(resolution,[],['106','62'])).
% 110.51/15.14 cnf('108', plain, (is_a_theorem(implies(implies(implies(not(X),Y),Z),U)) | ~is_a_theorem(implies(implies(X,Z),U))),
% 110.51/15.14 inference(resolution,[],['60','9'])).
% 110.51/15.14 cnf('109', plain, (is_a_theorem(implies(implies(implies(not(implies(not(implies(X,X)),Y)),Z),U),U))),
% 110.51/15.14 inference(resolution,[],['108','67'])).
% 110.51/15.14 cnf('110', plain, (~is_a_theorem(implies(implies(not(implies(not(implies(X,X)),Y)),Z),U)) | is_a_theorem(U)),
% 110.51/15.14 inference(resolution,[],['109','9'])).
% 110.51/15.14 cnf('111', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Y)),Z),Z))),
% 110.51/15.14 inference(resolution,[],['107','110'])).
% 110.51/15.14 cnf('112', plain, (is_a_theorem(implies(implies(implies(not(implies(X,implies(Y,Y))),Z),U),U))),
% 110.51/15.14 inference(resolution,[],['111','108'])).
% 110.51/15.14 cnf('113', plain, (~is_a_theorem(implies(implies(not(implies(X,implies(Y,Y))),Z),U)) | is_a_theorem(U)),
% 110.51/15.14 inference(resolution,[],['112','9'])).
% 110.51/15.14 cnf('114', plain, (is_a_theorem(implies(implies(or(equiv(X,X),Y),Z),Z))),
% 110.51/15.14 inference(resolution,[],['72','113'])).
% 110.51/15.14 cnf('115', plain, (is_a_theorem(implies(implies(implies(not(or(equiv(X,X),Y)),Z),U),U))),
% 110.51/15.14 inference(resolution,[],['114','108'])).
% 110.51/15.14 cnf('116', plain, (~is_a_theorem(implies(implies(not(or(equiv(X,X),Y)),Z),U)) | is_a_theorem(U)),
% 110.51/15.14 inference(resolution,[],['115','9'])).
% 110.51/15.14 cnf('117', plain, (is_a_theorem(implies(implies(implies(and(not(X),X),Y),Z),Z))),
% 110.51/15.14 inference(resolution,[],['103','116'])).
% 110.51/15.14 cnf('118', plain, (is_a_theorem(implies(implies(implies(not(implies(and(not(X),X),Y)),Z),U),U))),
% 110.51/15.14 inference(resolution,[],['117','108'])).
% 110.51/15.14 cnf('119', plain, (~is_a_theorem(implies(implies(not(implies(and(not(X),X),Y)),Z),U)) | is_a_theorem(U)),
% 110.51/15.14 inference(resolution,[],['118','9'])).
% 110.51/15.14 cnf('120', plain, (is_a_theorem(implies(implies(implies(X,implies(not(X),Y)),Z),Z))),
% 110.51/15.14 inference(resolution,[],['97','119'])).
% 110.51/15.14 cnf('121', plain, (is_a_theorem(implies(implies(implies(not(implies(X,implies(not(X),Y))),Z),U),U))),
% 110.51/15.14 inference(resolution,[],['120','108'])).
% 110.51/15.14 cnf('122', plain, (~is_a_theorem(implies(implies(not(implies(X,implies(not(X),Y))),Z),U)) | is_a_theorem(U)),
% 110.51/15.14 inference(resolution,[],['121','9'])).
% 110.51/15.14 cnf('123', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 110.51/15.14 inference(resolution,[],['93','122'])).
% 110.51/15.14 cnf('124', plain, (is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Y)),U),U)))),
% 110.51/15.14 inference(resolution,[],['92','123'])).
% 110.51/15.14 cnf('125', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,X)),Z),Z))),
% 110.51/15.14 inference(resolution,[],['124','122'])).
% 110.51/15.14 cnf('126', plain, (is_a_theorem(implies(implies(implies(not(implies(X,implies(Y,X))),Z),U),U))),
% 110.51/15.14 inference(resolution,[],['125','108'])).
% 110.51/15.14 cnf('127', plain, (~is_a_theorem(implies(implies(not(implies(X,implies(Y,X))),Z),U)) | is_a_theorem(U)),
% 110.51/15.14 inference(resolution,[],['126','9'])).
% 110.51/15.14 cnf('128', plain, (is_a_theorem(implies(implies(implies(implies(not(X),X),X),Y),Y))),
% 110.51/15.14 inference(resolution,[],['75','127'])).
% 110.51/15.14 cnf('129', plain, (is_a_theorem(implies(implies(X,implies(not(Y),Y)),implies(X,Y)))),
% 110.51/15.14 inference(resolution,[],['128','77'])).
% 110.51/15.14 cnf('130', plain, (is_a_theorem(implies(implies(not(X),Y),implies(implies(Y,X),X)))),
% 110.51/15.14 inference(resolution,[],['129','77'])).
% 110.51/15.14 cnf('131', plain, (is_a_theorem(implies(X,implies(implies(X,Y),Y)))),
% 110.51/15.14 inference(resolution,[],['130','90'])).
% 110.51/15.14 cnf('132', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z)))),
% 110.51/15.14 inference(resolution,[],['131','10'])).
% 110.51/15.14 cnf('133', plain, (is_a_theorem(implies(implies(X,implies(Y,Z)),implies(Y,implies(X,Z))))),
% 110.51/15.14 inference(resolution,[],['132','77'])).
% 110.51/15.14 cnf('134', plain, (~is_a_theorem(implies(implies(X,implies(not(X),Y)),Z)) | is_a_theorem(Z)),
% 110.51/15.14 inference(resolution,[],['120','9'])).
% 110.51/15.14 cnf('135', plain, (is_a_theorem(implies(not(X),implies(X,Y)))),
% 110.51/15.14 inference(resolution,[],['133','134'])).
% 110.51/15.14 cnf('136', plain, (~is_a_theorem(implies(X,implies(not(Y),Y))) | is_a_theorem(implies(X,Y))),
% 110.51/15.14 inference(resolution,[],['129','9'])).
% 110.51/15.14 cnf('137', plain, (is_a_theorem(implies(not(not(X)),X))),
% 110.51/15.14 inference(resolution,[],['135','136'])).
% 110.51/15.14 cnf('138', plain, (is_a_theorem(implies(implies(X,Y),implies(not(not(X)),Y)))),
% 110.51/15.14 inference(resolution,[],['137','10'])).
% 110.51/15.14 cnf('139', plain, (is_a_theorem(implies(X,implies(not(not(not(X))),Y)))),
% 110.51/15.14 inference(resolution,[],['138','15'])).
% 110.51/15.14 cnf('140', plain, (is_a_theorem(implies(X,not(not(X))))),
% 110.51/15.14 inference(resolution,[],['139','136'])).
% 110.51/15.14 cnf('141', plain, (is_a_theorem(implies(implies(not(not(X)),Y),implies(X,Y)))),
% 110.51/15.14 inference(resolution,[],['140','10'])).
% 110.51/15.14 cnf('142', plain, (~is_a_theorem(implies(not(not(X)),Y)) | is_a_theorem(implies(X,Y))),
% 110.51/15.14 inference(resolution,[],['141','9'])).
% 110.51/15.14 cnf('143', plain, (is_a_theorem(implies(X,not(not(implies(Y,X)))))),
% 110.51/15.14 inference(resolution,[],['140','90'])).
% 110.51/15.14 cnf('144', plain, (is_a_theorem(implies(X3,not(not(implies(Y3,not(not(X3)))))))),
% 110.51/15.14 inference(resolution,[],['142','143'])).
% 110.51/15.14 cnf('145', plain, (is_a_theorem(implies(X,not(and(Y,not(X)))))),
% 110.51/15.14 inference(simplify,[],['144','48'])).
% 110.51/15.14 cnf('146', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 110.51/15.14 inference(paramodulation,[],['3','145'])).
% 110.51/15.14 cnf('147', plain, (~is_a_theorem(implies($sk10,or($sk9,$sk10))) | $pr(r2)),
% 110.51/15.14 inference(cnf_transformation,[],['$inc_r2_$sk'])).
% 110.51/15.14 cnf('148', plain, (~$pr(r2)),
% 110.51/15.14 inference(cnf_transformation,[],['principia_r2_$sk'])).
% 110.51/15.14 cnf('149', plain, (~is_a_theorem(implies($sk10,or($sk9,$sk10)))),
% 110.51/15.14 inference(simplify,[],['147','148'])).
% 110.51/15.14 cnf('150', plain, ($false),
% 110.51/15.14 inference(resolution,[],['146','149'])).
% 110.51/15.14
% 110.51/15.14 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 110.51/15.14
% 110.51/15.14 run 240 fork 7 statistics:
% 110.51/15.14 ----------------------------------
% 110.51/15.14 this run seconds: 2.283944
% 110.51/15.14 total seconds: 13.447188
% 110.51/15.14 stat_given_used: 2666
% 110.51/15.14 stat_given_used_at_endgame: 0
% 110.51/15.14 stat_given_candidates: 4888
% 110.51/15.14 stat_given_candidates_at_endgame: 0
% 110.51/15.14 stat_given_candidates_h: 0
% 110.51/15.14 stat_binres_derived_cl: 382129
% 110.51/15.14 stat_binres_derived_cl_h: 0
% 110.51/15.14 stat_factor_derived_cl: 0
% 110.51/15.14 stat_para_derived_cl: 586
% 110.51/15.14 stat_tautologies_discarded: 1
% 110.51/15.14 stat_forward_subsumed: 184040
% 110.51/15.14 stat_derived_cut: 17
% 110.51/15.14 stat_derived_rewritten: 70
% 110.51/15.14 stat_weight_discarded_building: 0
% 110.51/15.14 stat_weight_discarded_cl: 0
% 110.51/15.14 stat_internlimit_discarded_cl: 0
% 110.51/15.14 stat_simplified: 86 simplified 0 derived 0 given
% 110.51/15.14 stat_kept_cl: 198665
% 110.51/15.14 stat_built_cl: 204083
% 110.51/15.14 stat_hyperres_partial_cl: 0
% 110.51/15.14 stat_made_rewriters: 6
% 110.51/15.14 stat_backward_subsumed: 0
% 110.51/15.14 stat_propagated_subsumed: 0
% 110.51/15.14 stat_clsubs_attempted: 397651
% 110.51/15.14 stat_clsubs_fact_groundunit_found: 0
% 110.51/15.14 stat_clsubs_rule_groundunit_found: 14
% 110.51/15.14 stat_clsubs_top_meta_attempted: 4748396
% 110.51/15.14 stat_clsubs_top_meta_failed: 4350745
% 110.51/15.14 stat_clsubs_top_meta_nonpref_attempted: 4748396
% 110.51/15.14 stat_clsubs_top_meta_nonpref_succeeded: 855991
% 110.51/15.14 stat_clsubs_top_meta_pref_attempted: 855991
% 110.51/15.14 stat_clsubs_top_meta_pref1_succeeded: 831999
% 110.51/15.14 stat_clsubs_top_meta_pref2_succeeded: 546773
% 110.51/15.14 stat_clsubs_top_meta_pref3_succeeded: 397651
% 110.51/15.14 stat_clsubs_top_meta_pref_succeeded: 397651
% 110.51/15.14 stat_clsubs_meta_attempted: 432441
% 110.51/15.14 stat_clsubs_meta_failed: 63736
% 110.51/15.14 stat_clsubs_predsymbs_attempted: 0
% 110.51/15.14 stat_clsubs_unit_attempted: 377651
% 110.51/15.14 stat_clsubs_full_attempted: 20000
% 110.51/15.14 stat_forwardsubs_attempted: 382705
% 110.51/15.14 stat_lit_hash_added: 200593
% 110.51/15.14 stat_lit_hash_computed: 597725
% 110.51/15.14 stat_lit_hash_match_found: 184176
% 110.51/15.14 stat_lit_hash_match_miss: 415125
% 110.51/15.14 stat_lit_hash_cut_ok: 21
% 110.51/15.14 stat_lit_strong_cut_ok: 0
% 110.51/15.14 stat_lit_hash_subsume_ok: 184040
% 110.51/15.14 clqueue els 10000000 used 1
% 110.51/15.14 clactive els 10000000 used 2667
% 110.51/15.14 clactivesubsume els 10000000 used 15889
% 110.51/15.14 queue_termbuf els 200000000 used 20997034
% 110.51/15.14 hyper_termbuf els 100000000 used 1
% 110.51/15.14 active_termbuf els 100000000 used 154133
% 110.51/15.14 varstack els 5000 last used 1
% 110.51/15.14 given_termbuf els 10000000 last used 1
% 110.51/15.14 simplified_termbuf els 10000000 last used 1
% 110.51/15.14 derived_termbuf els 10000000 last used 36
% 110.51/15.14 wr_mallocs: 181600
% 110.51/15.14 wr_callocs: 19
% 110.51/15.14 wr_reallocs: 26597
% 110.51/15.14 wr_frees: 2
% 110.51/15.14 wr_malloc_bytes: 4171095972
% 110.51/15.14 wr_calloc_bytes: 96065504
% 110.51/15.14 wr_realloc_bytes: 6453664
% 110.51/15.14 wr_realloc_freebytes: 0
% 110.51/15.14 ----------------------------------
%------------------------------------------------------------------------------