%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL494+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n012.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 12:08:44 PM UTC 2026
% Result : Theorem 0.08s 0.44s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL494+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.02 % Command : gkc %s
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Fri Sep 4 19:01:12 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.08/0.36
% 0.08/0.36 input clause set summed statistics:
% 0.08/0.36 ----------------------------------
% 0.08/0.36 in_clause_count: 74
% 0.08/0.36 in_rule_clause_count: 74
% 0.08/0.36 in_fact_clause_count: 0
% 0.08/0.36 in_answer_clause_count: 0
% 0.08/0.36 in_ground_clause_count: 43
% 0.08/0.36 in_unit_clause_count: 14
% 0.08/0.36 in_horn_clause_count: 71
% 0.08/0.36 in_pos_clause_count: 16
% 0.08/0.36 in_neg_clause_count: 1
% 0.08/0.36 in_poseq_clause_count: 6
% 0.08/0.36 in_negeq_clause_count: 1
% 0.08/0.36 in_unitposeq_clause_count: 0
% 0.08/0.36 in_chain_clause_count: 0
% 0.08/0.36 in_min_length: 1
% 0.08/0.36 in_max_length: 4
% 0.08/0.36 in_min_depth: 1
% 0.08/0.36 in_max_depth: 5
% 0.08/0.36 in_min_size: 2
% 0.08/0.36 in_max_size: 16
% 0.08/0.36 in_min_vars: 0
% 0.08/0.36 in_max_vars: 3
% 0.08/0.36 in_extaxiom_count: 70
% 0.08/0.36 in_axiom_count: 3
% 0.08/0.36 in_assumption_count: 0
% 0.08/0.36 in_goal_count: 1
% 0.08/0.36 in_neg_goal_count: 1
% 0.08/0.36 in_pos_goal_count: 0
% 0.08/0.36 in_posunit_goal_count: 0
% 0.08/0.36
% 0.08/0.36 auto guide:
% 0.08/0.36 -----------
% 0.08/0.36 {
% 0.08/0.36 "print":1,
% 0.08/0.36 "print_level": 15,
% 0.08/0.36 "max_size": 0,
% 0.08/0.36 "max_depth": 0,
% 0.08/0.36 "max_length": 0,
% 0.08/0.36 "max_dseconds": 0,
% 0.08/0.36 "runs":[
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.08/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.08/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.08/0.36 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.08/0.36 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.08/0.36 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.08/0.36 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.08/0.36 {"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},
% 0.08/0.36 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.08/0.36 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.08/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.36 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.08/0.36 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.08/0.36 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.08/0.36 {"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},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.08/0.36 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.08/0.36 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.08/0.36 {"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},
% 0.08/0.36 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.08/0.36 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.08/0.36 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.08/0.36 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.08/0.36
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.08/0.36 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
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% 0.08/0.36 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.08/0.36 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.36 {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.08/0.36 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.08/0.36 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.08/0.36 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.08/0.36 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.08/0.36 {"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":50},
% 0.08/0.36 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.08/0.36 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.08/0.36 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.08/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.08/0.36 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.08/0.36 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.08/0.36 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.08/0.36 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.36 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.08/0.36 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.08/0.36 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.08/0.36 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.08/0.36 {"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":50},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.08/0.36 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.08/0.36 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.08/0.36 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.08/0.36 {"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":50},
% 0.08/0.36 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.08/0.36 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.08/0.36 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.08/0.36 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.08/0.36
% 0.08/0.36 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.36 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.08/0.36 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.08/0.36 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.08/0.36 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.08/0.36 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.08/0.36 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.08/0.36
% 0.08/0.36 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.08/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.08/0.36 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.08/0.36
% 0.08/0.36 ]}
% 0.08/0.36
% 0.08/0.36
% 0.08/0.36 **** run 1 fork 0 starts with strategy
% 0.08/0.36 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.08/0.37
% 0.08/0.37 **** run 2 fork 1 starts with strategy
% 0.08/0.37 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.08/0.37
% 0.08/0.37 **** run 3 fork 2 starts with strategy
% 0.08/0.37 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.08/0.37
% 0.08/0.37 **** run 4 fork 3 starts with strategy
% 0.08/0.37 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.08/0.37
% 0.08/0.37 **** run 5 fork 4 starts with strategy
% 0.08/0.37 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.08/0.37
% 0.08/0.37 **** run 6 fork 5 starts with strategy
% 0.08/0.37 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.08/0.37
% 0.08/0.37 **** run 7 fork 6 starts with strategy
% 0.08/0.37 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.08/0.38
% 0.08/0.38 **** run 8 fork 7 starts with strategy
% 0.08/0.38 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.08/0.38
% 0.08/0.38 fork 3: search finished without proof.
% 0.08/0.43
% 0.08/0.43 **** run 12 fork 3 starts with strategy
% 0.08/0.43 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.08/0.44
% 0.08/0.44
% 0.08/0.44 result: proof found
% 0.08/0.44 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.44 by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.08/0.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.44
% 0.08/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.44 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 0.08/0.44 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('hilbert_op_equiv', axiom, op_equiv,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 0.08/0.44 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('hilbert_op_or', axiom, op_or,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 0.08/0.44 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('hilbert_op_implies_and', axiom, op_implies_and,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_implies_1_$sk', plain, ((~implies_1 | is_a_theorem(implies(X2,implies(X1,X2)))) & (implies_1 | ~is_a_theorem(implies($sk49,implies($sk48,$sk49))))),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 0.08/0.44 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 0.08/0.44 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_principia_op_implies_or', axiom, op_implies_or,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_r2_$sk', plain, ((~r2 | is_a_theorem(implies(X2,or(X1,X2)))) & (r2 | ~is_a_theorem(implies($sk10,or($sk9,$sk10))))),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_r2'])).
% 0.08/0.44 fof('$inc_r2', axiom, (r2 <=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_principia_r2', axiom, r2,
% 0.08/0.44 input).
% 0.08/0.44 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))))),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 0.08/0.44 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_principia_modus_ponens', axiom, modus_ponens,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_r3_$sk', plain, ((~r3 | is_a_theorem(implies(or(X2,X1),or(X1,X2)))) & (r3 | ~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8))))),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_r3'])).
% 0.08/0.44 fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_principia_r3', axiom, r3,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 0.08/0.44 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_principia_op_and', axiom, op_and,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_equivalence_2_$sk', plain, ((~equivalence_2 | is_a_theorem(implies(equiv(X2,X1),implies(X1,X2)))) & (equivalence_2 | ~is_a_theorem(implies(equiv($sk27,$sk26),implies($sk26,$sk27))))),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_equivalence_2'])).
% 0.08/0.44 fof('$inc_equivalence_2', axiom, (equivalence_2 <=> (! [X,Y] : is_a_theorem(implies(equiv(X,Y),implies(Y,X))))),
% 0.08/0.44 input).
% 0.08/0.44 fof('hilbert_equivalence_2_$sk', plain, ~equivalence_2,
% 0.08/0.44 inference(negpush_and_skolemize,[],['hilbert_equivalence_2'])).
% 0.08/0.44 fof('hilbert_equivalence_2', conjecture, equivalence_2,
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_r1_$sk', plain, ((~r1 | is_a_theorem(implies(or(X1,X1),X1))) & (r1 | ~is_a_theorem(implies(or($sk11,$sk11),$sk11)))),
% 0.08/0.44 inference(negpush_and_skolemize,[],['$inc_r1'])).
% 0.08/0.44 fof('$inc_r1', axiom, (r1 <=> (! [P] : is_a_theorem(implies(or(P,P),P)))),
% 0.08/0.44 input).
% 0.08/0.44 fof('$inc_principia_r1', axiom, r1,
% 0.08/0.44 input).
% 0.08/0.44 cnf('1', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 0.08/0.44 cnf('2', plain, ($pr(op_equiv)),
% 0.08/0.44 inference(cnf_transformation,[],['hilbert_op_equiv'])).
% 0.08/0.44 cnf('3', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 0.08/0.44 inference(simplify,[],['1','2'])).
% 0.08/0.44 cnf('4', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 0.08/0.44 cnf('5', plain, ($pr(op_or)),
% 0.08/0.44 inference(cnf_transformation,[],['hilbert_op_or'])).
% 0.08/0.44 cnf('6', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 0.08/0.44 cnf('7', plain, ($pr(op_implies_and)),
% 0.08/0.44 inference(cnf_transformation,[],['hilbert_op_implies_and'])).
% 0.08/0.44 cnf('8', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 0.08/0.44 inference(simplify,[],['6','7'])).
% 0.08/0.44 cnf('9', plain, (or(X,Y) = implies(not(X),Y)),
% 0.08/0.44 inference(simplify,[then_simplify],['4','5','8'])).
% 0.08/0.44 cnf('10', plain, (~$pr(implies_1) | is_a_theorem(implies(X,implies(Y,X)))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 0.08/0.44 cnf('11', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 0.08/0.44 cnf('12', plain, ($pr(op_implies_or)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_principia_op_implies_or'])).
% 0.08/0.44 cnf('13', plain, (implies(X,Y) = or(not(X),Y)),
% 0.08/0.44 inference(simplify,[],['11','12'])).
% 0.08/0.44 cnf('14', plain, (~$pr(r2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_r2_$sk'])).
% 0.08/0.44 cnf('15', plain, ($pr(r2)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_principia_r2'])).
% 0.08/0.44 cnf('16', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 0.08/0.44 inference(simplify,[],['14','15'])).
% 0.08/0.44 cnf('17', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 0.08/0.44 inference(paramodulation,[],['13','16'])).
% 0.08/0.44 cnf('18', plain, (~is_a_theorem(implies($sk49,implies($sk48,$sk49))) | $pr(implies_1)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 0.08/0.44 cnf('19', plain, ($pr(implies_1)),
% 0.08/0.44 inference(resolution,[],['17','18'])).
% 0.08/0.44 cnf('20', plain, (is_a_theorem(or(X,implies(Y,not(X))))),
% 0.08/0.44 inference(paramodulation,[then_simplify],['9','10','19'])).
% 0.08/0.44 cnf('21', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 0.08/0.44 cnf('22', plain, ($pr(modus_ponens)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_principia_modus_ponens'])).
% 0.08/0.44 cnf('23', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 0.08/0.44 inference(simplify,[],['21','22'])).
% 0.08/0.44 cnf('24', plain, (~$pr(r3) | is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 0.08/0.44 cnf('25', plain, ($pr(r3)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_principia_r3'])).
% 0.08/0.44 cnf('26', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 0.08/0.44 inference(simplify,[],['24','25'])).
% 0.08/0.44 cnf('27', plain, (~is_a_theorem(or(X,Y)) | is_a_theorem(or(Y,X))),
% 0.08/0.44 inference(resolution,[],['23','26'])).
% 0.08/0.44 cnf('28', plain, (is_a_theorem(or(implies(X3,not(Y3)),Y3))),
% 0.08/0.44 inference(resolution,[],['20','27'])).
% 0.08/0.44 cnf('29', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 0.08/0.44 cnf('30', plain, ($pr(op_and)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_principia_op_and'])).
% 0.08/0.44 cnf('31', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 0.08/0.44 inference(simplify,[then_simplify],['29','30','13'])).
% 0.08/0.44 cnf('32', plain, (or(implies(X,not(Y)),Z) = implies(and(X,Y),Z)),
% 0.08/0.44 inference(paramodulation,[],['31','9'])).
% 0.08/0.44 cnf('33', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 0.08/0.44 inference(simplify,[],['28','32'])).
% 0.08/0.44 cnf('34', plain, (is_a_theorem(implies(equiv(X,Y),implies(Y,X)))),
% 0.08/0.44 inference(paramodulation,[],['3','33'])).
% 0.08/0.44 cnf('35', plain, (is_a_theorem(or(X,Y)) | ~is_a_theorem(Y)),
% 0.08/0.44 inference(resolution,[],['23','16'])).
% 0.08/0.44 cnf('36', plain, (~is_a_theorem(implies(equiv($sk27,$sk26),implies($sk26,$sk27))) | $pr(equivalence_2)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_equivalence_2_$sk'])).
% 0.08/0.44 cnf('37', plain, (~$pr(equivalence_2)),
% 0.08/0.44 inference(cnf_transformation,[],['hilbert_equivalence_2_$sk'])).
% 0.08/0.44 cnf('38', plain, (~is_a_theorem(implies(equiv($sk27,$sk26),implies($sk26,$sk27)))),
% 0.08/0.44 inference(simplify,[],['36','37'])).
% 0.08/0.44 cnf('39', plain, (~$pr(r1) | is_a_theorem(implies(or(X0,X0),X0))),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_r1_$sk'])).
% 0.08/0.44 cnf('40', plain, ($pr(r1)),
% 0.08/0.44 inference(cnf_transformation,[],['$inc_principia_r1'])).
% 0.08/0.44 cnf('41', plain, (is_a_theorem(implies(or(X,X),X))),
% 0.08/0.44 inference(simplify,[],['39','40'])).
% 0.08/0.44 cnf('42', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(X)),
% 0.08/0.44 inference(resolution,[],['23','41'])).
% 0.08/0.44 cnf('43', plain, (~is_a_theorem(or(implies(equiv($sk27,$sk26),implies($sk26,$sk27)),implies(equiv($sk27,$sk26),implies($sk26,$sk27))))),
% 0.08/0.44 inference(resolution,[],['38','42'])).
% 0.08/0.44 cnf('44', plain, ($false),
% 0.08/0.44 inference(resolution,[then_simplify],['34','35','43'])).
% 0.08/0.44
% 0.08/0.44 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.44
% 0.08/0.44 run 8 fork 7 statistics:
% 0.08/0.44 ----------------------------------
% 0.08/0.44 this run seconds: 0.027998
% 0.08/0.44 total seconds: 0.030170
% 0.08/0.44 stat_given_used: 252
% 0.08/0.44 stat_given_used_at_endgame: 0
% 0.08/0.44 stat_given_candidates: 389
% 0.08/0.44 stat_given_candidates_at_endgame: 0
% 0.08/0.44 stat_given_candidates_h: 0
% 0.08/0.44 stat_binres_derived_cl: 2234
% 0.08/0.44 stat_binres_derived_cl_h: 0
% 0.08/0.44 stat_factor_derived_cl: 0
% 0.08/0.44 stat_para_derived_cl: 267
% 0.08/0.44 stat_tautologies_discarded: 0
% 0.08/0.44 stat_forward_subsumed: 649
% 0.08/0.44 stat_derived_cut: 25
% 0.08/0.44 stat_derived_rewritten: 7
% 0.08/0.44 stat_weight_discarded_building: 0
% 0.08/0.44 stat_weight_discarded_cl: 0
% 0.08/0.44 stat_internlimit_discarded_cl: 0
% 0.08/0.44 stat_simplified: 25 simplified 0 derived 0 given
% 0.08/0.44 stat_kept_cl: 1841
% 0.08/0.44 stat_built_cl: 2370
% 0.08/0.44 stat_hyperres_partial_cl: 0
% 0.08/0.44 stat_made_rewriters: 12
% 0.08/0.44 stat_backward_subsumed: 0
% 0.08/0.44 stat_propagated_subsumed: 0
% 0.08/0.44 stat_clsubs_attempted: 3487
% 0.08/0.44 stat_clsubs_fact_groundunit_found: 0
% 0.08/0.44 stat_clsubs_rule_groundunit_found: 15
% 0.08/0.44 stat_clsubs_top_meta_attempted: 31540
% 0.08/0.44 stat_clsubs_top_meta_failed: 28053
% 0.08/0.44 stat_clsubs_top_meta_nonpref_attempted: 31540
% 0.08/0.44 stat_clsubs_top_meta_nonpref_succeeded: 9097
% 0.08/0.44 stat_clsubs_top_meta_pref_attempted: 9097
% 0.08/0.44 stat_clsubs_top_meta_pref1_succeeded: 7710
% 0.08/0.44 stat_clsubs_top_meta_pref2_succeeded: 3928
% 0.08/0.44 stat_clsubs_top_meta_pref3_succeeded: 3487
% 0.08/0.44 stat_clsubs_top_meta_pref_succeeded: 3487
% 0.08/0.44 stat_clsubs_meta_attempted: 3696
% 0.08/0.44 stat_clsubs_meta_failed: 344
% 0.08/0.44 stat_clsubs_predsymbs_attempted: 0
% 0.08/0.44 stat_clsubs_unit_attempted: 3360
% 0.08/0.44 stat_clsubs_full_attempted: 127
% 0.08/0.44 stat_forwardsubs_attempted: 2491
% 0.08/0.44 stat_lit_hash_added: 2266
% 0.08/0.44 stat_lit_hash_computed: 6363
% 0.08/0.44 stat_lit_hash_match_found: 721
% 0.08/0.44 stat_lit_hash_match_miss: 5589
% 0.08/0.44 stat_lit_hash_cut_ok: 26
% 0.08/0.44 stat_lit_strong_cut_ok: 2
% 0.08/0.44 stat_lit_hash_subsume_ok: 649
% 0.08/0.44 clqueue els 10000000 used 1
% 0.08/0.44 clactive els 10000000 used 253
% 0.08/0.44 clactivesubsume els 10000000 used 1357
% 0.08/0.44 queue_termbuf els 200000000 used 123982
% 0.08/0.44 hyper_termbuf els 100000000 used 1
% 0.08/0.44 active_termbuf els 100000000 used 9335
% 0.08/0.44 varstack els 5000 last used 1
% 0.08/0.44 given_termbuf els 10000000 last used 1
% 0.08/0.44 simplified_termbuf els 10000000 last used 1
% 0.08/0.44 derived_termbuf els 10000000 last used 49
% 0.08/0.44 wr_mallocs: 7836
% 0.08/0.44 wr_callocs: 21
% 0.08/0.44 wr_reallocs: 359
% 0.08/0.44 wr_frees: 2
% 0.08/0.44 wr_malloc_bytes: 4162859444
% 0.08/0.44 wr_calloc_bytes: 112065536
% 0.08/0.44 wr_realloc_bytes: 63104
% 0.08/0.44 wr_realloc_freebytes: 0
% 0.08/0.44 ----------------------------------
%------------------------------------------------------------------------------