%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL485+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n020.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 38.15s 5.32s
% Output : CNFRefutation 38.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL485+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : gkc %s
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 5 19:25:12 UTC 2026
% 0.13/0.36 % 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: 74
% 0.22/0.49 in_rule_clause_count: 74
% 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: 43
% 0.22/0.49 in_unit_clause_count: 14
% 0.22/0.49 in_horn_clause_count: 71
% 0.22/0.49 in_pos_clause_count: 16
% 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: 70
% 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},
% 0.22/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.49 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.49 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.49 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.49 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.22/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.49 {"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},
% 0.22/0.49 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.49 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.49 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.22/0.49 {"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},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.49 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.49 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.49 {"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},
% 0.22/0.49 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.49 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.49 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.22/0.49
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.22/0.49 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
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% 12.49/2.14 **** run 93 fork 4 starts with strategy
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% 13.54/2.26 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
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% 13.54/2.27 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"sine":1}
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% 14.34/2.31 **** run 112 fork 7 starts with strategy
% 14.34/2.31 {"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}
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% 15.95/2.60 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 16.74/2.60
% 16.74/2.60 **** run 119 fork 6 starts with strategy
% 16.74/2.60 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 16.74/2.61
% 16.74/2.61 **** run 117 fork 4 starts with strategy
% 16.74/2.61 {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 16.74/2.62
% 16.74/2.62
% 16.74/2.62 fork 0: search terminated without proof.
% 16.74/2.64
% 16.74/2.64
% 16.74/2.64 fork 2: search terminated without proof.
% 16.74/2.64
% 16.74/2.64 **** run 110 fork 5 starts with strategy
% 16.74/2.64 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"weight_select_ratio":30,"depth_penalty":100,"length_penalty":100}
% 16.74/2.69
% 16.74/2.69 **** run 113 fork 0 starts with strategy
% 16.74/2.69 {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":1}
% 16.74/2.69
% 16.74/2.69 **** run 107 fork 2 starts with strategy
% 16.74/2.69 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 17.56/2.70
% 17.56/2.70
% 17.56/2.70 fork 1: search terminated without proof.
% 17.56/2.73
% 17.56/2.73 fork 2: search finished without proof.
% 17.56/2.76
% 17.56/2.76
% 17.56/2.76 fork 5: search terminated without proof.
% 17.56/2.77
% 17.56/2.77 **** run 106 fork 1 starts with strategy
% 17.56/2.77 {"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}
% 17.56/2.78
% 17.56/2.78 **** run 115 fork 2 starts with strategy
% 17.56/2.78 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 18.31/2.81
% 18.31/2.81 **** run 118 fork 5 starts with strategy
% 18.31/2.81 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 18.31/2.86
% 18.31/2.86
% 18.31/2.86 fork 0: search terminated without proof.
% 18.31/2.88
% 18.31/2.88
% 18.31/2.88 fork 1: search terminated without proof.
% 18.31/2.89
% 18.31/2.89
% 18.31/2.89 fork 2: search terminated without proof.
% 19.11/2.91
% 19.11/2.91 **** run 121 fork 0 starts with strategy
% 19.11/2.91 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 19.11/2.94
% 19.11/2.94 **** run 123 fork 2 starts with strategy
% 19.11/2.94 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 19.11/2.95
% 19.11/2.95 **** run 114 fork 1 starts with strategy
% 19.11/2.95 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 19.11/3.05
% 19.11/3.05 fork 1: search finished without proof.
% 20.47/3.10
% 20.47/3.10 **** run 122 fork 1 starts with strategy
% 20.47/3.10 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 21.46/3.26
% 21.46/3.26
% 21.46/3.26 fork 3: search terminated without proof.
% 22.26/3.32
% 22.26/3.32 **** run 132 fork 3 starts with strategy
% 22.26/3.32 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 23.88/3.50
% 23.88/3.50
% 23.88/3.50 fork 7: search terminated without proof.
% 23.88/3.57
% 23.88/3.57 **** run 136 fork 7 starts with strategy
% 23.88/3.57 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 24.68/3.62
% 24.68/3.62
% 24.68/3.62 fork 4: search terminated without proof.
% 24.68/3.62
% 24.68/3.62
% 24.68/3.62 fork 6: search terminated without proof.
% 24.68/3.67
% 24.68/3.67 **** run 127 fork 6 starts with strategy
% 24.68/3.67 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 24.68/3.69
% 24.68/3.69 **** run 125 fork 4 starts with strategy
% 24.68/3.69 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 26.27/3.82
% 26.27/3.82
% 26.27/3.82 fork 5: search terminated without proof.
% 26.27/3.88
% 26.27/3.88 **** run 126 fork 5 starts with strategy
% 26.27/3.89 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 27.09/3.95
% 27.09/3.95
% 27.09/3.95 fork 0: search terminated without proof.
% 27.09/3.95
% 27.09/3.95
% 27.09/3.95 fork 2: search terminated without proof.
% 27.09/4.02
% 27.09/4.02 **** run 131 fork 2 starts with strategy
% 27.09/4.02 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 27.09/4.05
% 27.09/4.05 **** run 129 fork 0 starts with strategy
% 27.09/4.05 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 28.38/4.12
% 28.38/4.12
% 28.38/4.12 fork 1: search terminated without proof.
% 29.18/4.18
% 29.18/4.18 **** run 130 fork 1 starts with strategy
% 29.18/4.18 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 30.22/4.33
% 30.22/4.33
% 30.22/4.33 fork 3: search terminated without proof.
% 30.22/4.40
% 30.22/4.40 **** run 140 fork 3 starts with strategy
% 30.22/4.40 {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 31.82/4.58
% 31.82/4.58
% 31.82/4.58 fork 7: search terminated without proof.
% 32.64/4.65
% 32.64/4.65 **** run 144 fork 7 starts with strategy
% 32.64/4.65 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 32.64/4.68
% 32.64/4.68
% 32.64/4.68 fork 6: search terminated without proof.
% 33.42/4.74
% 33.42/4.74 **** run 135 fork 6 starts with strategy
% 33.42/4.74 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 33.42/4.78
% 33.42/4.78
% 33.42/4.78 fork 4: search terminated without proof.
% 34.23/4.83
% 34.23/4.83 **** run 133 fork 4 starts with strategy
% 34.23/4.83 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 34.23/4.90
% 34.23/4.90
% 34.23/4.90 fork 5: search terminated without proof.
% 35.04/4.96
% 35.04/4.96 **** run 134 fork 5 starts with strategy
% 35.04/4.96 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 35.04/5.03
% 35.04/5.03
% 35.04/5.03 fork 2: search terminated without proof.
% 36.34/5.09
% 36.34/5.09 **** run 139 fork 2 starts with strategy
% 36.34/5.09 {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":10}
% 36.34/5.13
% 36.34/5.13 fork 2: search finished without proof.
% 36.34/5.13
% 36.34/5.13
% 36.34/5.13 fork 0: search terminated without proof.
% 36.34/5.17
% 36.34/5.17 **** run 137 fork 0 starts with strategy
% 36.34/5.17 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 37.14/5.18
% 37.14/5.18 **** run 147 fork 2 starts with strategy
% 37.14/5.18 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":10}
% 37.14/5.19
% 37.14/5.19
% 37.14/5.19 fork 1: search terminated without proof.
% 37.35/5.22
% 37.35/5.22 fork 2: search finished without proof.
% 37.35/5.25
% 37.35/5.25 **** run 138 fork 1 starts with strategy
% 37.35/5.25 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 37.35/5.27
% 37.35/5.27 **** run 155 fork 2 starts with strategy
% 37.35/5.27 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":10}
% 38.15/5.32
% 38.15/5.32
% 38.15/5.32 result: proof found
% 38.15/5.32 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.15/5.32 by run 135 fork 6 strategy {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 38.15/5.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.15/5.32
% 38.15/5.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.15/5.32 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 38.15/5.32 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_op_implies_or', axiom, op_implies_or,
% 38.15/5.32 input).
% 38.15/5.32 fof('$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,$sk5)))))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_r4'])).
% 38.15/5.32 fof('$inc_r4', axiom, (r4 <=> (! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_r4', axiom, r4,
% 38.15/5.32 input).
% 38.15/5.32 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))))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 38.15/5.32 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_modus_ponens', axiom, modus_ponens,
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 38.15/5.32 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('hilbert_op_or', axiom, op_or,
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 38.15/5.32 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('hilbert_op_implies_and', axiom, op_implies_and,
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_r2_$sk', plain, ((~r2 | is_a_theorem(implies(X2,or(X1,X2)))) & (r2 | ~is_a_theorem(implies($sk10,or($sk9,$sk10))))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_r2'])).
% 38.15/5.32 fof('$inc_r2', axiom, (r2 <=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_r2', axiom, r2,
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_r1_$sk', plain, ((~r1 | is_a_theorem(implies(or(X1,X1),X1))) & (r1 | ~is_a_theorem(implies(or($sk11,$sk11),$sk11)))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_r1'])).
% 38.15/5.32 fof('$inc_r1', axiom, (r1 <=> (! [P] : is_a_theorem(implies(or(P,P),P)))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_r1', axiom, r1,
% 38.15/5.32 input).
% 38.15/5.32 fof('$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,$sk8))))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_r3'])).
% 38.15/5.32 fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_r3', axiom, r3,
% 38.15/5.32 input).
% 38.15/5.32 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)))))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_r5'])).
% 38.15/5.32 fof('$inc_r5', axiom, (r5 <=> (! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_r5', axiom, r5,
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 38.15/5.32 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_principia_op_and', axiom, op_and,
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 38.15/5.32 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('hilbert_op_equiv', axiom, op_equiv,
% 38.15/5.32 input).
% 38.15/5.32 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,$sk52))))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 38.15/5.32 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_use_substitution_of_equivalents', axiom, substitution_of_equivalents,
% 38.15/5.32 input).
% 38.15/5.32 fof('$inc_implies_2_$sk', plain, ((~implies_2 | is_a_theorem(implies(implies(X2,implies(X2,X1)),implies(X2,X1)))) & (implies_2 | ~is_a_theorem(implies(implies($sk47,implies($sk47,$sk46)),implies($sk47,$sk46))))),
% 38.15/5.32 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 38.15/5.32 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 38.15/5.32 input).
% 38.15/5.32 fof('hilbert_implies_2_$sk', plain, ~implies_2,
% 38.15/5.32 inference(negpush_and_skolemize,[],['hilbert_implies_2'])).
% 38.15/5.32 fof('hilbert_implies_2', conjecture, implies_2,
% 38.15/5.32 input).
% 38.15/5.32 cnf('1', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 38.15/5.32 cnf('2', plain, ($pr(op_implies_or)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_op_implies_or'])).
% 38.15/5.32 cnf('3', plain, (implies(X,Y) = or(not(X),Y)),
% 38.15/5.32 inference(simplify,[],['1','2'])).
% 38.15/5.32 cnf('4', plain, (~$pr(r4) | is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_r4_$sk'])).
% 38.15/5.32 cnf('5', plain, ($pr(r4)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_r4'])).
% 38.15/5.32 cnf('6', plain, (is_a_theorem(implies(or(X,or(Y,Z)),or(Y,or(X,Z))))),
% 38.15/5.32 inference(simplify,[],['4','5'])).
% 38.15/5.32 cnf('7', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 38.15/5.32 cnf('8', plain, ($pr(modus_ponens)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_modus_ponens'])).
% 38.15/5.32 cnf('9', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 38.15/5.32 inference(simplify,[],['7','8'])).
% 38.15/5.32 cnf('10', plain, (~is_a_theorem(or(X,or(Y,Z))) | is_a_theorem(or(Y,or(X,Z)))),
% 38.15/5.32 inference(resolution,[],['6','9'])).
% 38.15/5.32 cnf('11', plain, (is_a_theorem(or(Y3,or(not(X3),Z3))) | ~is_a_theorem(implies(X3,or(Y3,Z3)))),
% 38.15/5.32 inference(paramodulation,[],['3','10'])).
% 38.15/5.32 cnf('12', plain, (is_a_theorem(or(X,implies(Y,Z))) | ~is_a_theorem(implies(Y,or(X,Z)))),
% 38.15/5.32 inference(simplify,[],['11','3'])).
% 38.15/5.32 cnf('13', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 38.15/5.32 cnf('14', plain, ($pr(op_or)),
% 38.15/5.32 inference(cnf_transformation,[],['hilbert_op_or'])).
% 38.15/5.32 cnf('15', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 38.15/5.32 cnf('16', plain, ($pr(op_implies_and)),
% 38.15/5.32 inference(cnf_transformation,[],['hilbert_op_implies_and'])).
% 38.15/5.32 cnf('17', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 38.15/5.32 inference(simplify,[],['15','16'])).
% 38.15/5.32 cnf('18', plain, (or(X,Y) = implies(not(X),Y)),
% 38.15/5.32 inference(simplify,[then_simplify],['13','14','17'])).
% 38.15/5.32 cnf('19', plain, (~$pr(r2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_r2_$sk'])).
% 38.15/5.32 cnf('20', plain, ($pr(r2)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_r2'])).
% 38.15/5.32 cnf('21', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 38.15/5.32 inference(simplify,[],['19','20'])).
% 38.15/5.32 cnf('22', plain, (is_a_theorem(or(X,or(Y,not(X))))),
% 38.15/5.32 inference(paramodulation,[],['18','21'])).
% 38.15/5.32 cnf('23', plain, (is_a_theorem(or(X,or(Y,not(Y))))),
% 38.15/5.32 inference(resolution,[],['10','22'])).
% 38.15/5.32 cnf('24', plain, (~$pr(r1) | is_a_theorem(implies(or(X0,X0),X0))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_r1_$sk'])).
% 38.15/5.32 cnf('25', plain, ($pr(r1)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_r1'])).
% 38.15/5.32 cnf('26', plain, (is_a_theorem(implies(or(X,X),X))),
% 38.15/5.32 inference(simplify,[],['24','25'])).
% 38.15/5.32 cnf('27', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(X)),
% 38.15/5.32 inference(resolution,[],['9','26'])).
% 38.15/5.32 cnf('28', plain, (is_a_theorem(or(X,not(X)))),
% 38.15/5.32 inference(resolution,[],['23','27'])).
% 38.15/5.32 cnf('29', plain, (~$pr(r3) | is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 38.15/5.32 cnf('30', plain, ($pr(r3)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_r3'])).
% 38.15/5.32 cnf('31', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 38.15/5.32 inference(simplify,[],['29','30'])).
% 38.15/5.32 cnf('32', plain, (is_a_theorem(implies(or(X,not(Y)),implies(Y,X)))),
% 38.15/5.32 inference(paramodulation,[],['3','31'])).
% 38.15/5.32 cnf('33', plain, (~is_a_theorem(or(X,not(Y))) | is_a_theorem(implies(Y,X))),
% 38.15/5.32 inference(resolution,[],['9','32'])).
% 38.15/5.32 cnf('34', plain, (is_a_theorem(implies(X,X))),
% 38.15/5.32 inference(resolution,[],['28','33'])).
% 38.15/5.32 cnf('35', plain, (is_a_theorem(or(X,implies(or(X,Y),Y)))),
% 38.15/5.32 inference(resolution,[],['12','34'])).
% 38.15/5.32 cnf('36', plain, (~is_a_theorem(or(X,Y)) | is_a_theorem(or(Y,X))),
% 38.15/5.32 inference(resolution,[],['9','31'])).
% 38.15/5.32 cnf('37', plain, (is_a_theorem(or(implies(or(X,Y),Y),X))),
% 38.15/5.32 inference(resolution,[],['35','36'])).
% 38.15/5.32 cnf('38', plain, (is_a_theorem(or(implies(implies(X,Y),Y),not(X)))),
% 38.15/5.32 inference(paramodulation,[],['3','37'])).
% 38.15/5.32 cnf('39', plain, (~$pr(r5) | is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_r5_$sk'])).
% 38.15/5.32 cnf('40', plain, ($pr(r5)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_r5'])).
% 38.15/5.32 cnf('41', plain, (is_a_theorem(implies(implies(X,Y),implies(or(Z,X),or(Z,Y))))),
% 38.15/5.32 inference(simplify,[],['39','40'])).
% 38.15/5.32 cnf('42', plain, (is_a_theorem(implies(or(X,Y),or(X,Z))) | ~is_a_theorem(implies(Y,Z))),
% 38.15/5.32 inference(resolution,[],['41','9'])).
% 38.15/5.32 cnf('43', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 38.15/5.32 inference(paramodulation,[],['3','21'])).
% 38.15/5.32 cnf('44', plain, (is_a_theorem(or(X,implies(Y,not(X))))),
% 38.15/5.32 inference(paramodulation,[],['18','43'])).
% 38.15/5.32 cnf('45', plain, (is_a_theorem(or(implies(X3,not(Y3)),Y3))),
% 38.15/5.32 inference(resolution,[],['44','36'])).
% 38.15/5.32 cnf('46', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 38.15/5.32 cnf('47', plain, ($pr(op_and)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_principia_op_and'])).
% 38.15/5.32 cnf('48', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 38.15/5.32 inference(simplify,[then_simplify],['46','47','3'])).
% 38.15/5.32 cnf('49', plain, (or(implies(X,not(Y)),Z) = implies(and(X,Y),Z)),
% 38.15/5.32 inference(paramodulation,[],['48','18'])).
% 38.15/5.32 cnf('50', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 38.15/5.32 inference(simplify,[],['45','49'])).
% 38.15/5.32 cnf('51', plain, (is_a_theorem(implies(or(X,and(Y,Z)),or(X,Z)))),
% 38.15/5.32 inference(resolution,[],['42','50'])).
% 38.15/5.32 cnf('52', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 38.15/5.32 cnf('53', plain, ($pr(op_equiv)),
% 38.15/5.32 inference(cnf_transformation,[],['hilbert_op_equiv'])).
% 38.15/5.32 cnf('54', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 38.15/5.32 inference(simplify,[],['52','53'])).
% 38.15/5.32 cnf('55', plain, (implies(implies(X,not(Y)),Z) = or(and(X,Y),Z)),
% 38.15/5.32 inference(paramodulation,[],['48','3'])).
% 38.15/5.32 cnf('56', plain, (is_a_theorem(implies(implies(X,not(X)),not(X)))),
% 38.15/5.32 inference(paramodulation,[],['3','26'])).
% 38.15/5.32 cnf('57', plain, (is_a_theorem(or(and(X,X),not(X)))),
% 38.15/5.32 inference(paramodulation,[],['55','56'])).
% 38.15/5.32 cnf('58', plain, (is_a_theorem(implies(X,and(X,X)))),
% 38.15/5.32 inference(resolution,[],['57','33'])).
% 38.15/5.32 cnf('59', plain, (is_a_theorem(implies(implies(X,X),equiv(X,X)))),
% 38.15/5.32 inference(paramodulation,[],['54','58'])).
% 38.15/5.32 cnf('60', plain, (~is_a_theorem(implies(X,X)) | is_a_theorem(equiv(X,X))),
% 38.15/5.32 inference(resolution,[],['59','9'])).
% 38.15/5.32 cnf('61', plain, (is_a_theorem(equiv(X,X))),
% 38.15/5.32 inference(resolution,[],['34','60'])).
% 38.15/5.32 cnf('62', plain, (equiv(X3,not(Y3)) = and(implies(X3,not(Y3)),or(Y3,X3))),
% 38.15/5.32 inference(paramodulation,[],['18','54'])).
% 38.15/5.32 cnf('63', plain, (and(not(X),Y) = not(or(X,not(Y)))),
% 38.15/5.32 inference(paramodulation,[],['18','48'])).
% 38.15/5.32 cnf('64', plain, (and(implies(X,not(Y)),Z) = not(or(and(X,Y),not(Z)))),
% 38.15/5.32 inference(paramodulation,[],['55','48'])).
% 38.15/5.32 cnf('65', plain, (and(implies(X,not(Y)),Z) = and(not(and(X,Y)),Z)),
% 38.15/5.32 inference(paramodulation,[],['63','64'])).
% 38.15/5.32 cnf('66', plain, (equiv(X,not(Y)) = and(not(and(X,Y)),or(Y,X))),
% 38.15/5.32 inference(simplify,[],['62','65'])).
% 38.15/5.32 cnf('67', plain, (equiv(X3,not(not(Y3))) = and(implies(X3,Y3),or(not(Y3),X3))),
% 38.15/5.32 inference(paramodulation,[],['17','66'])).
% 38.15/5.32 cnf('68', plain, (equiv(X,not(not(Y))) = equiv(X,Y)),
% 38.15/5.32 inference(simplify,[then_simplify],['67','3','54'])).
% 38.15/5.32 cnf('69', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 38.15/5.32 cnf('70', plain, ($pr(substitution_of_equivalents)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_use_substitution_of_equivalents'])).
% 38.15/5.32 cnf('71', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 38.15/5.32 inference(simplify,[],['69','70'])).
% 38.15/5.32 cnf('72', plain, (X = not(not(Y)) | ~is_a_theorem(equiv(X,Y))),
% 38.15/5.32 inference(paramodulation,[],['68','71'])).
% 38.15/5.32 cnf('73', plain, (X = not(not(X))),
% 38.15/5.32 inference(resolution,[],['61','72'])).
% 38.15/5.32 cnf('74', plain, (implies(X,not(Y)) = not(and(X,Y))),
% 38.15/5.32 inference(paramodulation,[],['73','17'])).
% 38.15/5.32 cnf('75', plain, (~is_a_theorem(not(and(X,Y))) | is_a_theorem(not(Y)) | ~is_a_theorem(X)),
% 38.15/5.32 inference(paramodulation,[],['74','9'])).
% 38.15/5.32 cnf('76', plain, (is_a_theorem(not(not(Y3))) | ~is_a_theorem(implies(X3,Y3)) | ~is_a_theorem(X3)),
% 38.15/5.32 inference(paramodulation,[],['17','75'])).
% 38.15/5.32 cnf('77', plain, (is_a_theorem(X) | ~is_a_theorem(implies(Y,X)) | ~is_a_theorem(Y)),
% 38.15/5.32 inference(simplify,[],['76','73'])).
% 38.15/5.32 cnf('78', plain, (~is_a_theorem(or(X,and(Y,Z))) | is_a_theorem(or(X,Z))),
% 38.15/5.32 inference(resolution,[],['51','77'])).
% 38.15/5.32 cnf('79', plain, (implies(and(X,not(Y)),Z) = or(implies(X,Y),Z)),
% 38.15/5.32 inference(paramodulation,[],['17','3'])).
% 38.15/5.32 cnf('80', plain, (is_a_theorem(implies(implies(X,Y),or(Y,not(X))))),
% 38.15/5.32 inference(paramodulation,[],['3','31'])).
% 38.15/5.32 cnf('81', plain, (is_a_theorem(implies(implies(X,not(Y)),implies(Y,not(X))))),
% 38.15/5.32 inference(paramodulation,[],['3','80'])).
% 38.15/5.32 cnf('82', plain, (is_a_theorem(or(and(X,Y),implies(Y,not(X))))),
% 38.15/5.32 inference(paramodulation,[],['55','81'])).
% 38.15/5.32 cnf('83', plain, (is_a_theorem(or(implies(X,not(Y)),and(Y,X)))),
% 38.15/5.32 inference(resolution,[],['82','36'])).
% 38.15/5.32 cnf('84', plain, (is_a_theorem(implies(and(X,Y),and(Y,X)))),
% 38.15/5.32 inference(paramodulation,[],['49','83'])).
% 38.15/5.32 cnf('85', plain, (is_a_theorem(or(implies(X,Y),and(not(Y),X)))),
% 38.15/5.32 inference(paramodulation,[],['79','84'])).
% 38.15/5.32 cnf('86', plain, (is_a_theorem(or(implies(X,Y),X))),
% 38.15/5.32 inference(resolution,[],['78','85'])).
% 38.15/5.32 cnf('87', plain, (~is_a_theorem(implies(X,not(Y))) | is_a_theorem(implies(Y,not(X)))),
% 38.15/5.32 inference(resolution,[],['9','81'])).
% 38.15/5.32 cnf('88', plain, (is_a_theorem(implies(Y3,not(not(X3)))) | ~is_a_theorem(or(X3,not(Y3)))),
% 38.15/5.32 inference(paramodulation,[],['18','87'])).
% 38.15/5.32 cnf('89', plain, (is_a_theorem(implies(X,Y)) | ~is_a_theorem(or(Y,not(X)))),
% 38.15/5.32 inference(simplify,[],['88','73'])).
% 38.15/5.32 cnf('90', plain, (is_a_theorem(implies(X3,implies(not(X3),Y3)))),
% 38.15/5.32 inference(resolution,[],['86','89'])).
% 38.15/5.32 cnf('91', plain, (is_a_theorem(implies(X,or(X,Y)))),
% 38.15/5.32 inference(simplify,[],['90','18'])).
% 38.15/5.32 cnf('92', plain, (is_a_theorem(implies(or(X,Y),or(X,or(Y,Z))))),
% 38.15/5.32 inference(resolution,[],['91','42'])).
% 38.15/5.32 cnf('93', plain, (is_a_theorem(implies(or(X,not(Y)),or(X,implies(Y,Z))))),
% 38.15/5.32 inference(paramodulation,[],['3','92'])).
% 38.15/5.32 cnf('94', plain, (~is_a_theorem(or(X,Y)) | ~is_a_theorem(not(X)) | is_a_theorem(Y)),
% 38.15/5.32 inference(paramodulation,[],['18','9'])).
% 38.15/5.32 cnf('95', plain, (~is_a_theorem(not(not(X3))) | ~is_a_theorem(implies(X3,Y3)) | is_a_theorem(Y3)),
% 38.15/5.32 inference(paramodulation,[],['3','94'])).
% 38.15/5.32 cnf('96', plain, (~is_a_theorem(X) | ~is_a_theorem(implies(X,Y)) | is_a_theorem(Y)),
% 38.15/5.32 inference(simplify,[],['95','73'])).
% 38.15/5.32 cnf('97', plain, (is_a_theorem(or(X,implies(Y,Z))) | ~is_a_theorem(or(X,not(Y)))),
% 38.15/5.32 inference(resolution,[],['93','96'])).
% 38.15/5.32 cnf('98', plain, (is_a_theorem(or(implies(implies(X,Y),Y),implies(X,Z)))),
% 38.15/5.32 inference(resolution,[],['38','97'])).
% 38.15/5.32 cnf('99', plain, (is_a_theorem(implies(or(X,or(Y,Y)),or(X,Y)))),
% 38.15/5.32 inference(resolution,[],['42','26'])).
% 38.15/5.32 cnf('100', plain, (is_a_theorem(implies(implies(X3,or(Y3,Y3)),or(not(X3),Y3)))),
% 38.15/5.32 inference(paramodulation,[],['3','99'])).
% 38.15/5.32 cnf('101', plain, (is_a_theorem(implies(implies(X,or(Y,Y)),implies(X,Y)))),
% 38.15/5.32 inference(simplify,[],['100','3'])).
% 38.15/5.32 cnf('102', plain, (~is_a_theorem(implies(X,or(Y,Y))) | is_a_theorem(implies(X,Y))),
% 38.15/5.32 inference(resolution,[],['101','96'])).
% 38.15/5.32 cnf('103', plain, (is_a_theorem(implies(or(X,Y),or(X,implies(Z,Y))))),
% 38.15/5.32 inference(resolution,[],['42','43'])).
% 38.15/5.32 cnf('104', plain, (is_a_theorem(implies(or(implies(X,Y),Y),implies(X,Y)))),
% 38.15/5.32 inference(resolution,[],['102','103'])).
% 38.15/5.32 cnf('105', plain, (~is_a_theorem(or(implies(X,Y),Y)) | is_a_theorem(implies(X,Y))),
% 38.15/5.32 inference(resolution,[],['104','96'])).
% 38.15/5.32 cnf('106', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 38.15/5.32 inference(resolution,[],['98','105'])).
% 38.15/5.32 cnf('107', plain, (~is_a_theorem(implies(implies($sk47,implies($sk47,$sk46)),implies($sk47,$sk46))) | $pr(implies_2)),
% 38.15/5.32 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 38.15/5.32 cnf('108', plain, (~$pr(implies_2)),
% 38.15/5.32 inference(cnf_transformation,[],['hilbert_implies_2_$sk'])).
% 38.15/5.32 cnf('109', plain, (~is_a_theorem(implies(implies($sk47,implies($sk47,$sk46)),implies($sk47,$sk46)))),
% 38.15/5.32 inference(simplify,[],['107','108'])).
% 38.15/5.32 cnf('110', plain, ($false),
% 38.15/5.32 inference(resolution,[],['106','109'])).
% 38.15/5.32
% 38.15/5.32 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.15/5.32
% 38.15/5.32 run 135 fork 6 statistics:
% 38.15/5.32 ----------------------------------
% 38.15/5.32 this run seconds: 0.553426
% 38.15/5.32 total seconds: 4.653703
% 38.15/5.32 stat_given_used: 1754
% 38.15/5.32 stat_given_used_at_endgame: 0
% 38.15/5.32 stat_given_candidates: 6352
% 38.15/5.32 stat_given_candidates_at_endgame: 0
% 38.15/5.32 stat_given_candidates_h: 0
% 38.15/5.32 stat_binres_derived_cl: 61118
% 38.15/5.32 stat_binres_derived_cl_h: 0
% 38.15/5.32 stat_factor_derived_cl: 0
% 38.15/5.32 stat_para_derived_cl: 42466
% 38.15/5.32 stat_tautologies_discarded: 7
% 38.15/5.32 stat_forward_subsumed: 12484
% 38.15/5.32 stat_derived_cut: 68
% 38.15/5.32 stat_derived_rewritten: 732
% 38.15/5.32 stat_weight_discarded_building: 0
% 38.15/5.32 stat_weight_discarded_cl: 80412
% 38.15/5.32 stat_internlimit_discarded_cl: 0
% 38.15/5.32 stat_simplified: 753 simplified 0 derived 0 given
% 38.15/5.32 stat_kept_cl: 10462
% 38.15/5.32 stat_built_cl: 95135
% 38.15/5.32 stat_hyperres_partial_cl: 0
% 38.15/5.32 stat_made_rewriters: 56
% 38.15/5.32 stat_backward_subsumed: 0
% 38.15/5.32 stat_propagated_subsumed: 0
% 38.15/5.32 stat_clsubs_attempted: 217870
% 38.15/5.32 stat_clsubs_fact_groundunit_found: 7
% 38.15/5.32 stat_clsubs_rule_groundunit_found: 15
% 38.15/5.32 stat_clsubs_top_meta_attempted: 3372564
% 38.15/5.32 stat_clsubs_top_meta_failed: 3154694
% 38.15/5.32 stat_clsubs_top_meta_nonpref_attempted: 3372564
% 38.15/5.32 stat_clsubs_top_meta_nonpref_succeeded: 1108682
% 38.15/5.32 stat_clsubs_top_meta_pref_attempted: 1108682
% 38.15/5.32 stat_clsubs_top_meta_pref1_succeeded: 1040713
% 38.15/5.32 stat_clsubs_top_meta_pref2_succeeded: 366604
% 38.15/5.32 stat_clsubs_top_meta_pref3_succeeded: 217870
% 38.15/5.32 stat_clsubs_top_meta_pref_succeeded: 217870
% 38.15/5.32 stat_clsubs_meta_attempted: 258466
% 38.15/5.32 stat_clsubs_meta_failed: 66393
% 38.15/5.32 stat_clsubs_predsymbs_attempted: 0
% 38.15/5.32 stat_clsubs_unit_attempted: 166554
% 38.15/5.32 stat_clsubs_full_attempted: 51316
% 38.15/5.32 stat_forwardsubs_attempted: 103358
% 38.15/5.32 stat_lit_hash_added: 15441
% 38.15/5.32 stat_lit_hash_computed: 148938
% 38.15/5.32 stat_lit_hash_match_found: 13111
% 38.15/5.32 stat_lit_hash_match_miss: 225007
% 38.15/5.32 stat_lit_hash_cut_ok: 48
% 38.15/5.32 stat_lit_strong_cut_ok: 28
% 38.15/5.32 stat_lit_hash_subsume_ok: 12484
% 38.15/5.32 clqueue els 10000000 used 1
% 38.15/5.32 clactive els 10000000 used 1755
% 38.15/5.32 clactivesubsume els 10000000 used 10369
% 38.15/5.32 queue_termbuf els 200000000 used 727443
% 38.15/5.32 hyper_termbuf els 100000000 used 1
% 38.15/5.32 active_termbuf els 100000000 used 72679
% 38.15/5.32 varstack els 5000 last used 1
% 38.15/5.32 given_termbuf els 10000000 last used 1
% 38.15/5.32 simplified_termbuf els 10000000 last used 1
% 38.15/5.32 derived_termbuf els 10000000 last used 5
% 38.15/5.32 wr_mallocs: 34056
% 38.15/5.32 wr_callocs: 21
% 38.15/5.32 wr_reallocs: 2984
% 38.15/5.32 wr_frees: 2
% 38.15/5.32 wr_malloc_bytes: 4163779444
% 38.15/5.32 wr_calloc_bytes: 112065536
% 38.15/5.32 wr_realloc_bytes: 693680
% 38.15/5.32 wr_realloc_freebytes: 0
% 38.15/5.32 ----------------------------------
%------------------------------------------------------------------------------