%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n007.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 12:08:39 PM UTC 2026
% Result : Theorem 0.51s 0.60s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL451+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : gkc %s
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 4 20:38:09 UTC 2026
% 0.11/0.37 % 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: 82
% 0.22/0.49 in_rule_clause_count: 82
% 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: 51
% 0.22/0.49 in_unit_clause_count: 22
% 0.22/0.49 in_horn_clause_count: 79
% 0.22/0.49 in_pos_clause_count: 24
% 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: 78
% 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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% 0.22/0.49 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.49 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.49 {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.49 {"max_dseconds":50, "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":50},
% 0.22/0.49 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.49 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.49 {"max_dseconds":50, "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":50},
% 0.22/0.49 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.49 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.49 {"max_dseconds":50, "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":50},
% 0.22/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 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":50},
% 0.22/0.49 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.49 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.49 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":50, "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":50},
% 0.22/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.22/0.49 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.49 {"max_dseconds":50, "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":50},
% 0.22/0.49 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 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":50},
% 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":50},
% 0.22/0.49 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.22/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.49 {"max_dseconds":50, "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":50},
% 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":50},
% 0.22/0.49 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.49 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.49 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.22/0.49
% 0.22/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":250, "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":250},
% 0.22/0.49 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.49 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.49 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_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":250},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.22/0.50 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.50 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.50 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.50
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.22/0.50 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.50 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.22/0.50
% 0.22/0.50 ]}
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 **** run 1 fork 0 starts with strategy
% 0.22/0.50 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.50
% 0.22/0.50 **** run 2 fork 1 starts with strategy
% 0.22/0.50 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.22/0.51
% 0.22/0.51 **** run 3 fork 2 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.51
% 0.22/0.51 **** run 4 fork 3 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.51
% 0.22/0.51 **** run 5 fork 4 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.51
% 0.22/0.51 **** run 6 fork 5 starts with strategy
% 0.22/0.51 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.52
% 0.22/0.52 **** run 7 fork 6 starts with strategy
% 0.22/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.52
% 0.22/0.52 **** run 8 fork 7 starts with strategy
% 0.22/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.54
% 0.22/0.54 fork 3: search finished without proof.
% 0.51/0.60
% 0.51/0.60
% 0.51/0.60 result: proof found
% 0.51/0.60 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.60 by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.51/0.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.60
% 0.51/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.60 fof('$inc_cn1_$sk', plain, ((~cn1 | is_a_theorem(implies(implies(X3,X2),implies(implies(X2,X1),implies(X3,X1))))) & (cn1 | ~is_a_theorem(implies(implies($sk17,$sk16),implies(implies($sk16,$sk15),implies($sk17,$sk15)))))),
% 0.51/0.60 inference(negpush_and_skolemize,[],['$inc_cn1'])).
% 0.51/0.60 fof('$inc_cn1', axiom, (cn1 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))))),
% 0.51/0.60 input).
% 0.51/0.60 fof('luka_cn1_$sk', plain, ~cn1,
% 0.51/0.60 inference(negpush_and_skolemize,[],['luka_cn1'])).
% 0.51/0.60 fof('luka_cn1', conjecture, cn1,
% 0.51/0.60 input).
% 0.51/0.60 fof('$inc_implies_3_$sk', plain, ((~implies_3 | is_a_theorem(implies(implies(X3,X2),implies(implies(X2,X1),implies(X3,X1))))) & (implies_3 | ~is_a_theorem(implies(implies($sk45,$sk44),implies(implies($sk44,$sk43),implies($sk45,$sk43)))))),
% 0.51/0.60 inference(negpush_and_skolemize,[],['$inc_implies_3'])).
% 0.51/0.60 fof('$inc_implies_3', axiom, (implies_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))),
% 0.51/0.60 input).
% 0.51/0.60 fof('$inc_hilbert_implies_3', axiom, implies_3,
% 0.51/0.60 input).
% 0.51/0.60 cnf('1', plain, (~is_a_theorem(implies(implies($sk17,$sk16),implies(implies($sk16,$sk15),implies($sk17,$sk15)))) | $pr(cn1)),
% 0.51/0.60 inference(cnf_transformation,[],['$inc_cn1_$sk'])).
% 0.51/0.60 cnf('2', plain, (~$pr(cn1)),
% 0.51/0.60 inference(cnf_transformation,[],['luka_cn1_$sk'])).
% 0.51/0.60 cnf('3', plain, (~is_a_theorem(implies(implies($sk17,$sk16),implies(implies($sk16,$sk15),implies($sk17,$sk15))))),
% 0.51/0.60 inference(simplify,[],['1','2'])).
% 0.51/0.60 cnf('4', plain, (~$pr(implies_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 0.51/0.60 inference(cnf_transformation,[],['$inc_implies_3_$sk'])).
% 0.51/0.60 cnf('5', plain, ($pr(implies_3)),
% 0.51/0.60 inference(cnf_transformation,[],['$inc_hilbert_implies_3'])).
% 0.51/0.60 cnf('6', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 0.51/0.60 inference(simplify,[],['4','5'])).
% 0.51/0.60 cnf('7', plain, ($false),
% 0.51/0.60 inference(resolution,[],['3','6'])).
% 0.51/0.60
% 0.51/0.60 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.60
% 0.51/0.60 run 6 fork 5 statistics:
% 0.51/0.60 ----------------------------------
% 0.51/0.60 this run seconds: 0.086999
% 0.51/0.60 total seconds: 0.090317
% 0.51/0.60 stat_given_used: 308
% 0.51/0.60 stat_given_used_at_endgame: 0
% 0.51/0.60 stat_given_candidates: 480
% 0.51/0.60 stat_given_candidates_at_endgame: 0
% 0.51/0.60 stat_given_candidates_h: 0
% 0.51/0.60 stat_binres_derived_cl: 2901
% 0.51/0.60 stat_binres_derived_cl_h: 0
% 0.51/0.60 stat_factor_derived_cl: 0
% 0.51/0.60 stat_para_derived_cl: 3743
% 0.51/0.60 stat_tautologies_discarded: 1
% 0.51/0.60 stat_forward_subsumed: 883
% 0.51/0.60 stat_derived_cut: 42
% 0.51/0.60 stat_derived_rewritten: 2
% 0.51/0.60 stat_weight_discarded_building: 0
% 0.51/0.60 stat_weight_discarded_cl: 2261
% 0.51/0.60 stat_internlimit_discarded_cl: 0
% 0.51/0.60 stat_simplified: 32 simplified 0 derived 0 given
% 0.51/0.60 stat_kept_cl: 3450
% 0.51/0.60 stat_built_cl: 6359
% 0.51/0.60 stat_hyperres_partial_cl: 0
% 0.51/0.60 stat_made_rewriters: 24
% 0.51/0.60 stat_backward_subsumed: 0
% 0.51/0.60 stat_propagated_subsumed: 0
% 0.51/0.60 stat_clsubs_attempted: 7738
% 0.51/0.60 stat_clsubs_fact_groundunit_found: 0
% 0.51/0.60 stat_clsubs_rule_groundunit_found: 24
% 0.51/0.60 stat_clsubs_top_meta_attempted: 42329
% 0.51/0.60 stat_clsubs_top_meta_failed: 34591
% 0.51/0.60 stat_clsubs_top_meta_nonpref_attempted: 42329
% 0.51/0.60 stat_clsubs_top_meta_nonpref_succeeded: 19014
% 0.51/0.60 stat_clsubs_top_meta_pref_attempted: 19014
% 0.51/0.60 stat_clsubs_top_meta_pref1_succeeded: 16713
% 0.51/0.60 stat_clsubs_top_meta_pref2_succeeded: 8546
% 0.51/0.60 stat_clsubs_top_meta_pref3_succeeded: 7738
% 0.51/0.60 stat_clsubs_top_meta_pref_succeeded: 7738
% 0.51/0.60 stat_clsubs_meta_attempted: 7904
% 0.51/0.60 stat_clsubs_meta_failed: 230
% 0.51/0.60 stat_clsubs_predsymbs_attempted: 0
% 0.51/0.60 stat_clsubs_unit_attempted: 7653
% 0.51/0.60 stat_clsubs_full_attempted: 85
% 0.51/0.60 stat_forwardsubs_attempted: 6594
% 0.51/0.60 stat_lit_hash_added: 4030
% 0.51/0.60 stat_lit_hash_computed: 13051
% 0.51/0.60 stat_lit_hash_match_found: 984
% 0.51/0.60 stat_lit_hash_match_miss: 14794
% 0.51/0.60 stat_lit_hash_cut_ok: 47
% 0.51/0.60 stat_lit_strong_cut_ok: 2
% 0.51/0.60 stat_lit_hash_subsume_ok: 883
% 0.51/0.60 clqueue els 10000000 used 1
% 0.51/0.60 clactive els 10000000 used 309
% 0.51/0.60 clactivesubsume els 10000000 used 1705
% 0.51/0.60 queue_termbuf els 200000000 used 248408
% 0.51/0.60 hyper_termbuf els 100000000 used 1
% 0.51/0.60 active_termbuf els 100000000 used 12925
% 0.51/0.60 varstack els 5000 last used 1
% 0.51/0.60 given_termbuf els 10000000 last used 1
% 0.51/0.60 simplified_termbuf els 10000000 last used 1
% 0.51/0.60 derived_termbuf els 10000000 last used 30
% 0.51/0.60 wr_mallocs: 13510
% 0.51/0.60 wr_callocs: 21
% 0.51/0.60 wr_reallocs: 724
% 0.51/0.60 wr_frees: 2
% 0.51/0.60 wr_malloc_bytes: 4163059156
% 0.51/0.60 wr_calloc_bytes: 112065536
% 0.51/0.60 wr_realloc_bytes: 134448
% 0.51/0.60 wr_realloc_freebytes: 0
% 0.51/0.60 ----------------------------------
%------------------------------------------------------------------------------