%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL487+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 12:08:43 PM UTC 2026
% Result : Theorem 3.85s 1.01s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL487+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 : Sat Sep 5 14:16:12 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.09/0.36
% 0.09/0.36 input clause set summed statistics:
% 0.09/0.36 ----------------------------------
% 0.09/0.36 in_clause_count: 74
% 0.09/0.36 in_rule_clause_count: 74
% 0.09/0.36 in_fact_clause_count: 0
% 0.09/0.36 in_answer_clause_count: 0
% 0.09/0.36 in_ground_clause_count: 43
% 0.09/0.36 in_unit_clause_count: 14
% 0.09/0.36 in_horn_clause_count: 71
% 0.09/0.36 in_pos_clause_count: 16
% 0.09/0.36 in_neg_clause_count: 1
% 0.09/0.36 in_poseq_clause_count: 6
% 0.09/0.36 in_negeq_clause_count: 1
% 0.09/0.36 in_unitposeq_clause_count: 0
% 0.09/0.36 in_chain_clause_count: 0
% 0.09/0.36 in_min_length: 1
% 0.09/0.36 in_max_length: 4
% 0.09/0.36 in_min_depth: 1
% 0.09/0.36 in_max_depth: 5
% 0.09/0.36 in_min_size: 2
% 0.09/0.36 in_max_size: 16
% 0.09/0.36 in_min_vars: 0
% 0.09/0.36 in_max_vars: 3
% 0.09/0.36 in_extaxiom_count: 70
% 0.09/0.36 in_axiom_count: 3
% 0.09/0.36 in_assumption_count: 0
% 0.09/0.36 in_goal_count: 1
% 0.09/0.36 in_neg_goal_count: 1
% 0.09/0.36 in_pos_goal_count: 0
% 0.09/0.36 in_posunit_goal_count: 0
% 0.09/0.36
% 0.09/0.36 auto guide:
% 0.09/0.36 -----------
% 0.09/0.36 {
% 0.09/0.36 "print":1,
% 0.09/0.36 "print_level": 15,
% 0.09/0.36 "max_size": 0,
% 0.09/0.36 "max_depth": 0,
% 0.09/0.36 "max_length": 0,
% 0.09/0.36 "max_dseconds": 0,
% 0.09/0.36 "runs":[
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.09/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.09/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.09/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.09/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.09/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.09/0.36 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.09/0.36 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.09/0.36 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.09/0.36 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.09/0.36 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.09/0.36 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.09/0.36 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.09/0.36 {"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},
% 0.09/0.36 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.09/0.36 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.09/0.36 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.09/0.36 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.09/0.36 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.09/0.36 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.09/0.36 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.09/0.36 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.09/0.36 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.09/0.36 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.09/0.36 {"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},
% 0.09/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.09/0.36 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.09/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.09/0.36 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.09/0.36 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.09/0.36 {"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},
% 0.09/0.36 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.09/0.36 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.09/0.36 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.09/0.36 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.09/0.36
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.09/0.36 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.09/0.36 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.09/0.36 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.09/0.36 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
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% 3.85/1.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.85/1.01
% 3.85/1.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.85/1.01 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 3.85/1.01 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_op_and', axiom, op_and,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 3.85/1.01 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_op_implies_or', axiom, op_implies_or,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 3.85/1.01 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('hilbert_op_or', axiom, op_or,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 3.85/1.01 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('hilbert_op_implies_and', axiom, op_implies_and,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_r5_$sk', plain, ((~r5 | is_a_theorem(implies(implies(X3,X2),implies(or(X1,X3),or(X1,X2))))) & (r5 | ~is_a_theorem(implies(implies($sk3,$sk2),implies(or($sk1,$sk3),or($sk1,$sk2)))))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_r5'])).
% 3.85/1.01 fof('$inc_r5', axiom, (r5 <=> (! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_r5', axiom, r5,
% 3.85/1.01 input).
% 3.85/1.01 fof('$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($sk54))))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 3.85/1.01 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_modus_ponens', axiom, modus_ponens,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_r2_$sk', plain, ((~r2 | is_a_theorem(implies(X2,or(X1,X2)))) & (r2 | ~is_a_theorem(implies($sk10,or($sk9,$sk10))))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_r2'])).
% 3.85/1.01 fof('$inc_r2', axiom, (r2 <=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_r2', axiom, r2,
% 3.85/1.01 input).
% 3.85/1.01 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))))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_r3'])).
% 3.85/1.01 fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_r3', axiom, r3,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_r4_$sk', plain, ((~r4 | is_a_theorem(implies(or(X3,or(X1,X2)),or(X1,or(X3,X2))))) & (r4 | ~is_a_theorem(implies(or($sk6,or($sk4,$sk5)),or($sk4,or($sk6,$sk5)))))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_r4'])).
% 3.85/1.01 fof('$inc_r4', axiom, (r4 <=> (! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_r4', axiom, r4,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_r1_$sk', plain, ((~r1 | is_a_theorem(implies(or(X1,X1),X1))) & (r1 | ~is_a_theorem(implies(or($sk11,$sk11),$sk11)))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_r1'])).
% 3.85/1.01 fof('$inc_r1', axiom, (r1 <=> (! [P] : is_a_theorem(implies(or(P,P),P)))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_principia_r1', axiom, r1,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 3.85/1.01 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 3.85/1.01 input).
% 3.85/1.01 fof('hilbert_op_equiv', axiom, op_equiv,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_substitution_of_equivalents_$sk', plain, ((~substitution_of_equivalents | ((X2 = X1) | ~is_a_theorem(equiv(X2,X1)))) & (substitution_of_equivalents | (~($sk53 = $sk52) & is_a_theorem(equiv($sk53,$sk52))))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 3.85/1.01 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_use_substitution_of_equivalents', axiom, substitution_of_equivalents,
% 3.85/1.01 input).
% 3.85/1.01 fof('$inc_and_1_$sk', plain, ((~and_1 | is_a_theorem(implies(and(X2,X1),X2))) & (and_1 | ~is_a_theorem(implies(and($sk42,$sk41),$sk42)))),
% 3.85/1.01 inference(negpush_and_skolemize,[],['$inc_and_1'])).
% 3.85/1.01 fof('$inc_and_1', axiom, (and_1 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)))),
% 3.85/1.01 input).
% 3.85/1.01 fof('hilbert_and_1_$sk', plain, ~and_1,
% 3.85/1.01 inference(negpush_and_skolemize,[],['hilbert_and_1'])).
% 3.85/1.01 fof('hilbert_and_1', conjecture, and_1,
% 3.85/1.01 input).
% 3.85/1.01 cnf('1', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 3.85/1.01 cnf('2', plain, ($pr(op_and)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_op_and'])).
% 3.85/1.01 cnf('3', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 3.85/1.01 cnf('4', plain, ($pr(op_implies_or)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_op_implies_or'])).
% 3.85/1.01 cnf('5', plain, (implies(X,Y) = or(not(X),Y)),
% 3.85/1.01 inference(simplify,[],['3','4'])).
% 3.85/1.01 cnf('6', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 3.85/1.01 inference(simplify,[then_simplify],['1','2','5'])).
% 3.85/1.01 cnf('7', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 3.85/1.01 cnf('8', plain, ($pr(op_or)),
% 3.85/1.01 inference(cnf_transformation,[],['hilbert_op_or'])).
% 3.85/1.01 cnf('9', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 3.85/1.01 cnf('10', plain, ($pr(op_implies_and)),
% 3.85/1.01 inference(cnf_transformation,[],['hilbert_op_implies_and'])).
% 3.85/1.01 cnf('11', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 3.85/1.01 inference(simplify,[],['9','10'])).
% 3.85/1.01 cnf('12', plain, (or(X,Y) = implies(not(X),Y)),
% 3.85/1.01 inference(simplify,[then_simplify],['7','8','11'])).
% 3.85/1.01 cnf('13', plain, (or(implies(X,not(Y)),Z) = implies(and(X,Y),Z)),
% 3.85/1.01 inference(paramodulation,[],['6','12'])).
% 3.85/1.01 cnf('14', plain, (~$pr(r5) | is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_r5_$sk'])).
% 3.85/1.01 cnf('15', plain, ($pr(r5)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_r5'])).
% 3.85/1.01 cnf('16', plain, (is_a_theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y))))),
% 3.85/1.01 inference(simplify,[],['14','15'])).
% 3.85/1.01 cnf('17', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 3.85/1.01 cnf('18', plain, ($pr(modus_ponens)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_modus_ponens'])).
% 3.85/1.01 cnf('19', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 3.85/1.01 inference(simplify,[],['17','18'])).
% 3.85/1.01 cnf('20', plain, (is_a_theorem(implies(or(X,Y),or(X,Z))) | ~is_a_theorem(implies(Y,Z))),
% 3.85/1.01 inference(resolution,[],['16','19'])).
% 3.85/1.01 cnf('21', plain, (~$pr(r2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_r2_$sk'])).
% 3.85/1.01 cnf('22', plain, ($pr(r2)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_r2'])).
% 3.85/1.01 cnf('23', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 3.85/1.01 inference(simplify,[],['21','22'])).
% 3.85/1.01 cnf('24', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 3.85/1.01 inference(paramodulation,[],['5','23'])).
% 3.85/1.01 cnf('25', plain, (is_a_theorem(or(X,implies(Y,not(X))))),
% 3.85/1.01 inference(paramodulation,[],['12','24'])).
% 3.85/1.01 cnf('26', plain, (~$pr(r3) | is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 3.85/1.01 cnf('27', plain, ($pr(r3)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_r3'])).
% 3.85/1.01 cnf('28', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 3.85/1.01 inference(simplify,[],['26','27'])).
% 3.85/1.01 cnf('29', plain, (~is_a_theorem(or(X,Y)) | is_a_theorem(or(Y,X))),
% 3.85/1.01 inference(resolution,[],['19','28'])).
% 3.85/1.01 cnf('30', plain, (is_a_theorem(or(implies(X3,not(Y3)),Y3))),
% 3.85/1.01 inference(resolution,[],['25','29'])).
% 3.85/1.01 cnf('31', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 3.85/1.01 inference(simplify,[],['30','13'])).
% 3.85/1.01 cnf('32', plain, (is_a_theorem(implies(or(X,and(Y,Z)),or(X,Z)))),
% 3.85/1.01 inference(resolution,[],['20','31'])).
% 3.85/1.01 cnf('33', plain, (~$pr(r4) | is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_r4_$sk'])).
% 3.85/1.01 cnf('34', plain, ($pr(r4)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_r4'])).
% 3.85/1.01 cnf('35', plain, (is_a_theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z))))),
% 3.85/1.01 inference(simplify,[],['33','34'])).
% 3.85/1.01 cnf('36', plain, (~is_a_theorem(or(X,or(Y,Z))) | is_a_theorem(or(Y,or(X,Z)))),
% 3.85/1.01 inference(resolution,[],['35','19'])).
% 3.85/1.01 cnf('37', plain, (is_a_theorem(or(X,or(Y,not(X))))),
% 3.85/1.01 inference(paramodulation,[],['12','23'])).
% 3.85/1.01 cnf('38', plain, (is_a_theorem(or(X,or(Y,not(Y))))),
% 3.85/1.01 inference(resolution,[],['36','37'])).
% 3.85/1.01 cnf('39', plain, (~$pr(r1) | is_a_theorem(implies(or(X0,X0),X0))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_r1_$sk'])).
% 3.85/1.01 cnf('40', plain, ($pr(r1)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_principia_r1'])).
% 3.85/1.01 cnf('41', plain, (is_a_theorem(implies(or(X,X),X))),
% 3.85/1.01 inference(simplify,[],['39','40'])).
% 3.85/1.01 cnf('42', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(X)),
% 3.85/1.01 inference(resolution,[],['19','41'])).
% 3.85/1.01 cnf('43', plain, (is_a_theorem(or(X,not(X)))),
% 3.85/1.01 inference(resolution,[],['38','42'])).
% 3.85/1.01 cnf('44', plain, (is_a_theorem(implies(or(X,not(Y)),implies(Y,X)))),
% 3.85/1.01 inference(paramodulation,[],['5','28'])).
% 3.85/1.01 cnf('45', plain, (~is_a_theorem(or(X,not(Y))) | is_a_theorem(implies(Y,X))),
% 3.85/1.01 inference(resolution,[],['19','44'])).
% 3.85/1.01 cnf('46', plain, (is_a_theorem(implies(X,X))),
% 3.85/1.01 inference(resolution,[],['43','45'])).
% 3.85/1.01 cnf('47', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 3.85/1.01 cnf('48', plain, ($pr(op_equiv)),
% 3.85/1.01 inference(cnf_transformation,[],['hilbert_op_equiv'])).
% 3.85/1.01 cnf('49', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 3.85/1.01 inference(simplify,[],['47','48'])).
% 3.85/1.01 cnf('50', plain, (implies(implies(X,not(Y)),Z) = or(and(X,Y),Z)),
% 3.85/1.01 inference(paramodulation,[],['6','5'])).
% 3.85/1.01 cnf('51', plain, (is_a_theorem(implies(implies(X,not(X)),not(X)))),
% 3.85/1.01 inference(paramodulation,[],['5','41'])).
% 3.85/1.01 cnf('52', plain, (is_a_theorem(or(and(X,X),not(X)))),
% 3.85/1.01 inference(paramodulation,[],['50','51'])).
% 3.85/1.01 cnf('53', plain, (is_a_theorem(implies(X,and(X,X)))),
% 3.85/1.01 inference(resolution,[],['52','45'])).
% 3.85/1.01 cnf('54', plain, (is_a_theorem(implies(implies(X,X),equiv(X,X)))),
% 3.85/1.01 inference(paramodulation,[],['49','53'])).
% 3.85/1.01 cnf('55', plain, (~is_a_theorem(implies(X,X)) | is_a_theorem(equiv(X,X))),
% 3.85/1.01 inference(resolution,[],['54','19'])).
% 3.85/1.01 cnf('56', plain, (is_a_theorem(equiv(X,X))),
% 3.85/1.01 inference(resolution,[],['46','55'])).
% 3.85/1.01 cnf('57', plain, (equiv(X3,not(Y3)) = and(implies(X3,not(Y3)),or(Y3,X3))),
% 3.85/1.01 inference(paramodulation,[],['12','49'])).
% 3.85/1.01 cnf('58', plain, (and(not(X),Y) = not(or(X,not(Y)))),
% 3.85/1.01 inference(paramodulation,[],['12','6'])).
% 3.85/1.01 cnf('59', plain, (and(implies(X,not(Y)),Z) = not(or(and(X,Y),not(Z)))),
% 3.85/1.01 inference(paramodulation,[],['50','6'])).
% 3.85/1.01 cnf('60', plain, (and(implies(X,not(Y)),Z) = and(not(and(X,Y)),Z)),
% 3.85/1.01 inference(paramodulation,[],['58','59'])).
% 3.85/1.01 cnf('61', plain, (equiv(X,not(Y)) = and(not(and(X,Y)),or(Y,X))),
% 3.85/1.01 inference(simplify,[],['57','60'])).
% 3.85/1.01 cnf('62', plain, (equiv(X3,not(not(Y3))) = and(implies(X3,Y3),or(not(Y3),X3))),
% 3.85/1.01 inference(paramodulation,[],['11','61'])).
% 3.85/1.01 cnf('63', plain, (equiv(X,not(not(Y))) = equiv(X,Y)),
% 3.85/1.01 inference(simplify,[then_simplify],['62','5','49'])).
% 3.85/1.01 cnf('64', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 3.85/1.01 cnf('65', plain, ($pr(substitution_of_equivalents)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_use_substitution_of_equivalents'])).
% 3.85/1.01 cnf('66', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 3.85/1.01 inference(simplify,[],['64','65'])).
% 3.85/1.01 cnf('67', plain, (X = not(not(Y)) | ~is_a_theorem(equiv(X,Y))),
% 3.85/1.01 inference(paramodulation,[],['63','66'])).
% 3.85/1.01 cnf('68', plain, (X = not(not(X))),
% 3.85/1.01 inference(resolution,[],['56','67'])).
% 3.85/1.01 cnf('69', plain, (implies(X,not(Y)) = not(and(X,Y))),
% 3.85/1.01 inference(paramodulation,[],['68','11'])).
% 3.85/1.01 cnf('70', plain, (~is_a_theorem(not(and(X,Y))) | is_a_theorem(not(Y)) | ~is_a_theorem(X)),
% 3.85/1.01 inference(paramodulation,[],['69','19'])).
% 3.85/1.01 cnf('71', plain, (is_a_theorem(not(not(Y3))) | ~is_a_theorem(implies(X3,Y3)) | ~is_a_theorem(X3)),
% 3.85/1.01 inference(paramodulation,[],['11','70'])).
% 3.85/1.01 cnf('72', plain, (is_a_theorem(X) | ~is_a_theorem(implies(Y,X)) | ~is_a_theorem(Y)),
% 3.85/1.01 inference(simplify,[],['71','68'])).
% 3.85/1.01 cnf('73', plain, (~is_a_theorem(or(X,and(Y,Z))) | is_a_theorem(or(X,Z))),
% 3.85/1.01 inference(resolution,[],['32','72'])).
% 3.85/1.01 cnf('74', plain, (implies(and(X,not(Y)),Z) = or(implies(X,Y),Z)),
% 3.85/1.01 inference(paramodulation,[],['11','5'])).
% 3.85/1.01 cnf('75', plain, (is_a_theorem(implies(implies(X,Y),or(Y,not(X))))),
% 3.85/1.01 inference(paramodulation,[],['5','28'])).
% 3.85/1.01 cnf('76', plain, (is_a_theorem(implies(implies(X,not(Y)),implies(Y,not(X))))),
% 3.85/1.01 inference(paramodulation,[],['5','75'])).
% 3.85/1.01 cnf('77', plain, (is_a_theorem(or(and(X,Y),implies(Y,not(X))))),
% 3.85/1.01 inference(paramodulation,[],['50','76'])).
% 3.85/1.01 cnf('78', plain, (is_a_theorem(or(implies(X,not(Y)),and(Y,X)))),
% 3.85/1.01 inference(resolution,[],['77','29'])).
% 3.85/1.01 cnf('79', plain, (is_a_theorem(implies(and(X,Y),and(Y,X)))),
% 3.85/1.01 inference(paramodulation,[],['13','78'])).
% 3.85/1.01 cnf('80', plain, (is_a_theorem(or(implies(X,Y),and(not(Y),X)))),
% 3.85/1.01 inference(paramodulation,[],['74','79'])).
% 3.85/1.01 cnf('81', plain, (is_a_theorem(or(implies(X,Y),X))),
% 3.85/1.01 inference(resolution,[],['73','80'])).
% 3.85/1.01 cnf('82', plain, (is_a_theorem(implies(and(X,Y),X))),
% 3.85/1.01 inference(paramodulation,[],['13','81'])).
% 3.85/1.01 cnf('83', plain, (~is_a_theorem(implies(and($sk42,$sk41),$sk42)) | $pr(and_1)),
% 3.85/1.01 inference(cnf_transformation,[],['$inc_and_1_$sk'])).
% 3.85/1.01 cnf('84', plain, (~$pr(and_1)),
% 3.85/1.01 inference(cnf_transformation,[],['hilbert_and_1_$sk'])).
% 3.85/1.01 cnf('85', plain, (~is_a_theorem(implies(and($sk42,$sk41),$sk42))),
% 3.85/1.01 inference(simplify,[],['83','84'])).
% 3.85/1.01 cnf('86', plain, ($false),
% 3.85/1.01 inference(resolution,[],['82','85'])).
% 3.85/1.01
% 3.85/1.01 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.85/1.01
% 3.85/1.01 run 19 fork 2 statistics:
% 3.85/1.01 ----------------------------------
% 3.85/1.01 this run seconds: 0.053379
% 3.85/1.01 total seconds: 0.381872
% 3.85/1.01 stat_given_used: 412
% 3.85/1.01 stat_given_used_at_endgame: 0
% 3.85/1.01 stat_given_candidates: 1744
% 3.85/1.01 stat_given_candidates_at_endgame: 0
% 3.85/1.01 stat_given_candidates_h: 0
% 3.85/1.01 stat_binres_derived_cl: 2186
% 3.85/1.01 stat_binres_derived_cl_h: 0
% 3.85/1.01 stat_factor_derived_cl: 0
% 3.85/1.01 stat_para_derived_cl: 9308
% 3.85/1.01 stat_tautologies_discarded: 3
% 3.85/1.01 stat_forward_subsumed: 845
% 3.85/1.01 stat_derived_cut: 26
% 3.85/1.01 stat_derived_rewritten: 197
% 3.85/1.01 stat_weight_discarded_building: 0
% 3.85/1.01 stat_weight_discarded_cl: 8429
% 3.85/1.01 stat_internlimit_discarded_cl: 0
% 3.85/1.01 stat_simplified: 217 simplified 0 derived 0 given
% 3.85/1.01 stat_kept_cl: 2003
% 3.85/1.01 stat_built_cl: 11473
% 3.85/1.01 stat_hyperres_partial_cl: 0
% 3.85/1.01 stat_made_rewriters: 56
% 3.85/1.01 stat_backward_subsumed: 0
% 3.85/1.01 stat_propagated_subsumed: 0
% 3.85/1.01 stat_clsubs_attempted: 15404
% 3.85/1.01 stat_clsubs_fact_groundunit_found: 4
% 3.85/1.01 stat_clsubs_rule_groundunit_found: 16
% 3.85/1.01 stat_clsubs_top_meta_attempted: 238278
% 3.85/1.01 stat_clsubs_top_meta_failed: 222874
% 3.85/1.01 stat_clsubs_top_meta_nonpref_attempted: 238278
% 3.85/1.01 stat_clsubs_top_meta_nonpref_succeeded: 79384
% 3.85/1.01 stat_clsubs_top_meta_pref_attempted: 79384
% 3.85/1.01 stat_clsubs_top_meta_pref1_succeeded: 65835
% 3.85/1.01 stat_clsubs_top_meta_pref2_succeeded: 22665
% 3.85/1.01 stat_clsubs_top_meta_pref3_succeeded: 15404
% 3.85/1.01 stat_clsubs_top_meta_pref_succeeded: 15404
% 3.85/1.01 stat_clsubs_meta_attempted: 17349
% 3.85/1.01 stat_clsubs_meta_failed: 2674
% 3.85/1.01 stat_clsubs_predsymbs_attempted: 0
% 3.85/1.01 stat_clsubs_unit_attempted: 13323
% 3.85/1.01 stat_clsubs_full_attempted: 2081
% 3.85/1.01 stat_forwardsubs_attempted: 11277
% 3.85/1.01 stat_lit_hash_added: 2796
% 3.85/1.01 stat_lit_hash_computed: 20078
% 3.85/1.01 stat_lit_hash_match_found: 1050
% 3.85/1.01 stat_lit_hash_match_miss: 29518
% 3.85/1.01 stat_lit_hash_cut_ok: 28
% 3.85/1.01 stat_lit_strong_cut_ok: 2
% 3.85/1.01 stat_lit_hash_subsume_ok: 845
% 3.85/1.01 clqueue els 10000000 used 1
% 3.85/1.01 clactive els 10000000 used 413
% 3.85/1.01 clactivesubsume els 10000000 used 2347
% 3.85/1.01 queue_termbuf els 200000000 used 148191
% 3.85/1.01 hyper_termbuf els 100000000 used 1
% 3.85/1.01 active_termbuf els 100000000 used 16407
% 3.85/1.01 varstack els 5000 last used 1
% 3.85/1.01 given_termbuf els 10000000 last used 1
% 3.85/1.01 simplified_termbuf els 10000000 last used 1
% 3.85/1.01 derived_termbuf els 10000000 last used 9
% 3.85/1.01 wr_mallocs: 8385
% 3.85/1.01 wr_callocs: 21
% 3.85/1.01 wr_reallocs: 582
% 3.85/1.01 wr_frees: 2
% 3.85/1.01 wr_malloc_bytes: 4162879236
% 3.85/1.01 wr_calloc_bytes: 112065536
% 3.85/1.01 wr_realloc_bytes: 103976
% 3.85/1.01 wr_realloc_freebytes: 0
% 3.85/1.01 ----------------------------------
% 3.85/1.01
% 3.85/1.01 **** run 37 fork 4 starts with strategy
% 3.85/1.01 {"sine":1,"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":1}
% 3.85/1.02
% 3.85/1.02 fork 6: search finished without proof.
%------------------------------------------------------------------------------