%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL488+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n027.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 2.42s 0.91s
% Output : CNFRefutation 2.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL488+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : gkc %s
% 0.09/0.36 % Computer : n027.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
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Sat Sep 5 07:14:58 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.24/0.49
% 0.24/0.49 input clause set summed statistics:
% 0.24/0.49 ----------------------------------
% 0.24/0.49 in_clause_count: 74
% 0.24/0.49 in_rule_clause_count: 74
% 0.24/0.49 in_fact_clause_count: 0
% 0.24/0.49 in_answer_clause_count: 0
% 0.24/0.49 in_ground_clause_count: 43
% 0.24/0.49 in_unit_clause_count: 14
% 0.24/0.49 in_horn_clause_count: 71
% 0.24/0.49 in_pos_clause_count: 16
% 0.24/0.49 in_neg_clause_count: 1
% 0.24/0.49 in_poseq_clause_count: 6
% 0.24/0.49 in_negeq_clause_count: 1
% 0.24/0.49 in_unitposeq_clause_count: 0
% 0.24/0.49 in_chain_clause_count: 0
% 0.24/0.49 in_min_length: 1
% 0.24/0.49 in_max_length: 4
% 0.24/0.49 in_min_depth: 1
% 0.24/0.49 in_max_depth: 5
% 0.24/0.49 in_min_size: 2
% 0.24/0.49 in_max_size: 16
% 0.24/0.49 in_min_vars: 0
% 0.24/0.49 in_max_vars: 3
% 0.24/0.49 in_extaxiom_count: 70
% 0.24/0.49 in_axiom_count: 3
% 0.24/0.49 in_assumption_count: 0
% 0.24/0.49 in_goal_count: 1
% 0.24/0.49 in_neg_goal_count: 1
% 0.24/0.49 in_pos_goal_count: 0
% 0.24/0.49 in_posunit_goal_count: 0
% 0.24/0.49
% 0.24/0.49 auto guide:
% 0.24/0.49 -----------
% 0.24/0.49 {
% 0.24/0.49 "print":1,
% 0.24/0.49 "print_level": 15,
% 0.24/0.49 "max_size": 0,
% 0.24/0.49 "max_depth": 0,
% 0.24/0.49 "max_length": 0,
% 0.24/0.49 "max_dseconds": 0,
% 0.24/0.49 "runs":[
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.24/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.24/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.24/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.24/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.24/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.24/0.49 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.24/0.49 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.24/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.24/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.24/0.49 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.24/0.49 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.24/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.24/0.49 {"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},
% 0.24/0.49 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.24/0.49 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.24/0.49 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.24/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.24/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.24/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.24/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.24/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.24/0.49 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.24/0.49 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.24/0.49 {"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},
% 0.24/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.24/0.49 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.24/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.24/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.24/0.49 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.24/0.49 {"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},
% 0.24/0.49 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.24/0.49 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.24/0.49 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.24/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.24/0.49
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.24/0.49 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.24/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.24/0.49 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
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% 0.24/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.24/0.50 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.24/0.50 {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.24/0.50 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.24/0.50 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.24/0.50 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.24/0.50 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.24/0.50 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.24/0.50 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.24/0.50 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.24/0.50 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.24/0.50 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.24/0.50 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.24/0.50 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.24/0.50 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.24/0.50 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.24/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.24/0.50 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.24/0.50 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.24/0.50 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.24/0.50 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.24/0.50 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.24/0.50 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.24/0.50 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.24/0.50 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.24/0.50 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.24/0.50 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.24/0.50 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.24/0.50 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.24/0.50 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.24/0.50 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.24/0.50 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.24/0.50 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.24/0.50 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.24/0.50 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.24/0.50
% 0.24/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.24/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.24/0.50 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.24/0.50 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.24/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.24/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.24/0.50 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.24/0.50 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.24/0.50 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.24/0.50 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.24/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.24/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.24/0.50 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.24/0.50
% 0.24/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.24/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.24/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.24/0.50
% 0.24/0.50 ]}
% 0.24/0.50
% 0.24/0.50
% 0.24/0.50 **** run 1 fork 0 starts with strategy
% 0.24/0.50 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.24/0.50
% 0.24/0.50 **** run 2 fork 1 starts with strategy
% 0.24/0.50 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.24/0.50
% 0.24/0.50 **** run 3 fork 2 starts with strategy
% 0.24/0.50 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.24/0.50
% 0.24/0.50 **** run 4 fork 3 starts with strategy
% 0.24/0.50 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.24/0.51
% 0.24/0.51 **** run 5 fork 4 starts with strategy
% 0.24/0.51 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.24/0.51
% 0.24/0.51 **** run 6 fork 5 starts with strategy
% 0.24/0.51 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.24/0.51
% 0.24/0.51 **** run 7 fork 6 starts with strategy
% 0.24/0.51 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.24/0.51
% 0.24/0.51 **** run 8 fork 7 starts with strategy
% 0.24/0.51 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.24/0.54
% 0.24/0.54 fork 3: search finished without proof.
% 0.71/0.58
% 0.71/0.58 **** run 12 fork 3 starts with strategy
% 0.71/0.58 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.71/0.60
% 0.71/0.60
% 0.71/0.60 fork 0: search terminated without proof.
% 0.71/0.61
% 0.71/0.61
% 0.71/0.61 fork 2: search terminated without proof.
% 0.71/0.61
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% 0.71/0.61 fork 4: search terminated without proof.
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% 0.71/0.62 fork 6: search terminated without proof.
% 0.71/0.63
% 0.71/0.63
% 0.71/0.63 fork 5: search terminated without proof.
% 1.13/0.68
% 1.13/0.68 **** run 9 fork 0 starts with strategy
% 1.13/0.68 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.13/0.68
% 1.13/0.68 **** run 11 fork 2 starts with strategy
% 1.13/0.68 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.13/0.68
% 1.13/0.68 **** run 13 fork 4 starts with strategy
% 1.13/0.68 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.13/0.69
% 1.13/0.69
% 1.13/0.69 fork 3: search terminated without proof.
% 1.13/0.69
% 1.13/0.69 **** run 15 fork 6 starts with strategy
% 1.13/0.69 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.42/0.71
% 1.42/0.71 **** run 14 fork 5 starts with strategy
% 1.42/0.71 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 1.42/0.72
% 1.42/0.72 **** run 20 fork 3 starts with strategy
% 1.42/0.72 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 1.42/0.79
% 1.42/0.79
% 1.42/0.79 fork 2: search terminated without proof.
% 1.42/0.79
% 1.42/0.79
% 1.42/0.79 fork 4: search terminated without proof.
% 1.42/0.80
% 1.42/0.80
% 1.42/0.80 fork 6: search terminated without proof.
% 1.93/0.81
% 1.93/0.81
% 1.93/0.81 fork 5: search terminated without proof.
% 1.93/0.86
% 1.93/0.86 **** run 19 fork 2 starts with strategy
% 1.93/0.86 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 1.93/0.86
% 1.93/0.86 **** run 21 fork 4 starts with strategy
% 1.93/0.86 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 1.93/0.87
% 1.93/0.87 **** run 23 fork 6 starts with strategy
% 1.93/0.87 {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 1.93/0.87
% 1.93/0.87
% 1.93/0.87 fork 3: search terminated without proof.
% 1.93/0.88
% 1.93/0.88 **** run 22 fork 5 starts with strategy
% 1.93/0.88 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.42/0.90
% 2.42/0.90 **** run 28 fork 3 starts with strategy
% 2.42/0.90 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 2.42/0.91
% 2.42/0.91
% 2.42/0.91 result: proof found
% 2.42/0.91 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.42/0.91 by run 22 fork 5 strategy {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.42/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.42/0.91
% 2.42/0.91 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.42/0.91 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 2.42/0.91 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_principia_op_implies_or', axiom, op_implies_or,
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 2.42/0.91 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 2.42/0.91 input).
% 2.42/0.91 fof('hilbert_op_or', axiom, op_or,
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 2.42/0.91 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 2.42/0.91 input).
% 2.42/0.91 fof('hilbert_op_implies_and', axiom, op_implies_and,
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_r2_$sk', plain, ((~r2 | is_a_theorem(implies(X2,or(X1,X2)))) & (r2 | ~is_a_theorem(implies($sk10,or($sk9,$sk10))))),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_r2'])).
% 2.42/0.91 fof('$inc_r2', axiom, (r2 <=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))))),
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_principia_r2', axiom, r2,
% 2.42/0.91 input).
% 2.42/0.91 fof('$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($sk54))))),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 2.42/0.91 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_principia_modus_ponens', axiom, modus_ponens,
% 2.42/0.91 input).
% 2.42/0.91 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))))),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_r3'])).
% 2.42/0.91 fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_principia_r3', axiom, r3,
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 2.42/0.91 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_principia_op_and', axiom, op_and,
% 2.42/0.91 input).
% 2.42/0.91 fof('$inc_and_2_$sk', plain, ((~and_2 | is_a_theorem(implies(and(X2,X1),X1))) & (and_2 | ~is_a_theorem(implies(and($sk40,$sk39),$sk39)))),
% 2.42/0.91 inference(negpush_and_skolemize,[],['$inc_and_2'])).
% 2.42/0.91 fof('$inc_and_2', axiom, (and_2 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)))),
% 2.42/0.91 input).
% 2.42/0.91 fof('hilbert_and_2_$sk', plain, ~and_2,
% 2.42/0.91 inference(negpush_and_skolemize,[],['hilbert_and_2'])).
% 2.42/0.91 fof('hilbert_and_2', conjecture, and_2,
% 2.42/0.91 input).
% 2.42/0.91 cnf('1', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 2.42/0.91 cnf('2', plain, ($pr(op_implies_or)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_principia_op_implies_or'])).
% 2.42/0.91 cnf('3', plain, (implies(X,Y) = or(not(X),Y)),
% 2.42/0.91 inference(simplify,[],['1','2'])).
% 2.42/0.91 cnf('4', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 2.42/0.91 cnf('5', plain, ($pr(op_or)),
% 2.42/0.91 inference(cnf_transformation,[],['hilbert_op_or'])).
% 2.42/0.91 cnf('6', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 2.42/0.91 cnf('7', plain, ($pr(op_implies_and)),
% 2.42/0.91 inference(cnf_transformation,[],['hilbert_op_implies_and'])).
% 2.42/0.91 cnf('8', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 2.42/0.91 inference(simplify,[],['6','7'])).
% 2.42/0.91 cnf('9', plain, (or(X,Y) = implies(not(X),Y)),
% 2.42/0.91 inference(simplify,[then_simplify],['4','5','8'])).
% 2.42/0.91 cnf('10', plain, (~$pr(r2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_r2_$sk'])).
% 2.42/0.91 cnf('11', plain, ($pr(r2)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_principia_r2'])).
% 2.42/0.91 cnf('12', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 2.42/0.91 inference(simplify,[],['10','11'])).
% 2.42/0.91 cnf('13', plain, (is_a_theorem(or(X,or(Y,not(X))))),
% 2.42/0.91 inference(paramodulation,[],['9','12'])).
% 2.42/0.91 cnf('14', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 2.42/0.91 cnf('15', plain, ($pr(modus_ponens)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_principia_modus_ponens'])).
% 2.42/0.91 cnf('16', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 2.42/0.91 inference(simplify,[],['14','15'])).
% 2.42/0.91 cnf('17', plain, (~$pr(r3) | is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 2.42/0.91 cnf('18', plain, ($pr(r3)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_principia_r3'])).
% 2.42/0.91 cnf('19', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 2.42/0.91 inference(simplify,[],['17','18'])).
% 2.42/0.91 cnf('20', plain, (~is_a_theorem(or(X,Y)) | is_a_theorem(or(Y,X))),
% 2.42/0.91 inference(resolution,[],['16','19'])).
% 2.42/0.91 cnf('21', plain, (is_a_theorem(or(or(X,not(Y)),Y))),
% 2.42/0.91 inference(resolution,[],['13','20'])).
% 2.42/0.91 cnf('22', plain, (is_a_theorem(or(implies(X3,not(Y3)),Y3))),
% 2.42/0.91 inference(paramodulation,[],['3','21'])).
% 2.42/0.91 cnf('23', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 2.42/0.91 cnf('24', plain, ($pr(op_and)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_principia_op_and'])).
% 2.42/0.91 cnf('25', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 2.42/0.91 inference(simplify,[then_simplify],['23','24','3'])).
% 2.42/0.91 cnf('26', plain, (or(implies(X,not(Y)),Z) = implies(and(X,Y),Z)),
% 2.42/0.91 inference(paramodulation,[],['25','9'])).
% 2.42/0.91 cnf('27', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 2.42/0.91 inference(simplify,[],['22','26'])).
% 2.42/0.91 cnf('28', plain, (~is_a_theorem(implies(and($sk40,$sk39),$sk39)) | $pr(and_2)),
% 2.42/0.91 inference(cnf_transformation,[],['$inc_and_2_$sk'])).
% 2.42/0.91 cnf('29', plain, (~$pr(and_2)),
% 2.42/0.91 inference(cnf_transformation,[],['hilbert_and_2_$sk'])).
% 2.42/0.91 cnf('30', plain, (~is_a_theorem(implies(and($sk40,$sk39),$sk39))),
% 2.42/0.91 inference(simplify,[],['28','29'])).
% 2.42/0.91 cnf('31', plain, ($false),
% 2.42/0.91 inference(resolution,[],['27','30'])).
% 2.42/0.91
% 2.42/0.91 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.42/0.91
% 2.42/0.91 run 22 fork 5 statistics:
% 2.42/0.91 ----------------------------------
% 2.42/0.91 this run seconds: 0.025003
% 2.42/0.91 total seconds: 0.385787
% 2.42/0.91 stat_given_used: 238
% 2.42/0.91 stat_given_used_at_endgame: 0
% 2.42/0.91 stat_given_candidates: 371
% 2.42/0.91 stat_given_candidates_at_endgame: 0
% 2.42/0.91 stat_given_candidates_h: 0
% 2.42/0.91 stat_binres_derived_cl: 1001
% 2.42/0.91 stat_binres_derived_cl_h: 0
% 2.42/0.91 stat_factor_derived_cl: 0
% 2.42/0.91 stat_para_derived_cl: 653
% 2.42/0.91 stat_tautologies_discarded: 0
% 2.42/0.91 stat_forward_subsumed: 501
% 2.42/0.91 stat_derived_cut: 22
% 2.42/0.91 stat_derived_rewritten: 9
% 2.42/0.91 stat_weight_discarded_building: 0
% 2.42/0.91 stat_weight_discarded_cl: 0
% 2.42/0.91 stat_internlimit_discarded_cl: 0
% 2.42/0.91 stat_simplified: 28 simplified 0 derived 0 given
% 2.42/0.91 stat_kept_cl: 1138
% 2.42/0.91 stat_built_cl: 1642
% 2.42/0.91 stat_hyperres_partial_cl: 0
% 2.42/0.91 stat_made_rewriters: 25
% 2.42/0.91 stat_backward_subsumed: 0
% 2.42/0.91 stat_propagated_subsumed: 0
% 2.42/0.91 stat_clsubs_attempted: 4540
% 2.42/0.91 stat_clsubs_fact_groundunit_found: 0
% 2.42/0.91 stat_clsubs_rule_groundunit_found: 16
% 2.42/0.91 stat_clsubs_top_meta_attempted: 27677
% 2.42/0.91 stat_clsubs_top_meta_failed: 23137
% 2.42/0.91 stat_clsubs_top_meta_nonpref_attempted: 27677
% 2.42/0.91 stat_clsubs_top_meta_nonpref_succeeded: 11610
% 2.42/0.91 stat_clsubs_top_meta_pref_attempted: 11610
% 2.42/0.91 stat_clsubs_top_meta_pref1_succeeded: 9846
% 2.42/0.91 stat_clsubs_top_meta_pref2_succeeded: 5056
% 2.42/0.91 stat_clsubs_top_meta_pref3_succeeded: 4540
% 2.42/0.91 stat_clsubs_top_meta_pref_succeeded: 4540
% 2.42/0.91 stat_clsubs_meta_attempted: 4721
% 2.42/0.91 stat_clsubs_meta_failed: 231
% 2.42/0.91 stat_clsubs_predsymbs_attempted: 0
% 2.42/0.91 stat_clsubs_unit_attempted: 4445
% 2.42/0.91 stat_clsubs_full_attempted: 95
% 2.42/0.91 stat_forwardsubs_attempted: 1639
% 2.42/0.91 stat_lit_hash_added: 1363
% 2.42/0.91 stat_lit_hash_computed: 3984
% 2.42/0.91 stat_lit_hash_match_found: 567
% 2.42/0.91 stat_lit_hash_match_miss: 3381
% 2.42/0.91 stat_lit_hash_cut_ok: 22
% 2.42/0.91 stat_lit_strong_cut_ok: 1
% 2.42/0.91 stat_lit_hash_subsume_ok: 501
% 2.42/0.91 clqueue els 10000000 used 1
% 2.42/0.91 clactive els 10000000 used 239
% 2.42/0.91 clactivesubsume els 10000000 used 1321
% 2.42/0.91 queue_termbuf els 200000000 used 84775
% 2.42/0.91 hyper_termbuf els 100000000 used 1
% 2.42/0.91 active_termbuf els 100000000 used 9640
% 2.42/0.91 varstack els 5000 last used 1
% 2.42/0.91 given_termbuf els 10000000 last used 1
% 2.42/0.91 simplified_termbuf els 10000000 last used 1
% 2.42/0.91 derived_termbuf els 10000000 last used 5
% 2.42/0.91 wr_mallocs: 5682
% 2.42/0.91 wr_callocs: 21
% 2.42/0.91 wr_reallocs: 255
% 2.42/0.91 wr_frees: 2
% 2.42/0.91 wr_malloc_bytes: 4162779348
% 2.42/0.91 wr_calloc_bytes: 112065536
% 2.42/0.91 wr_realloc_bytes: 37152
% 2.42/0.91 wr_realloc_freebytes: 0
% 2.42/0.91 ----------------------------------
%------------------------------------------------------------------------------