%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL544+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n018.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 12:08:50 PM UTC 2026
% Result : Theorem 1.63s 0.69s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL544+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : gkc %s
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 20:16:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.44
% 0.11/0.44 input clause set summed statistics:
% 0.11/0.44 ----------------------------------
% 0.11/0.44 in_clause_count: 147
% 0.11/0.44 in_rule_clause_count: 147
% 0.11/0.44 in_fact_clause_count: 0
% 0.11/0.44 in_answer_clause_count: 0
% 0.11/0.44 in_ground_clause_count: 89
% 0.11/0.44 in_unit_clause_count: 31
% 0.11/0.44 in_horn_clause_count: 138
% 0.11/0.44 in_pos_clause_count: 39
% 0.11/0.44 in_neg_clause_count: 1
% 0.11/0.44 in_poseq_clause_count: 11
% 0.11/0.44 in_negeq_clause_count: 2
% 0.11/0.44 in_unitposeq_clause_count: 0
% 0.11/0.44 in_chain_clause_count: 0
% 0.11/0.44 in_min_length: 1
% 0.11/0.44 in_max_length: 4
% 0.11/0.44 in_min_depth: 1
% 0.11/0.44 in_max_depth: 5
% 0.11/0.44 in_min_size: 2
% 0.11/0.44 in_max_size: 17
% 0.11/0.44 in_min_vars: 0
% 0.11/0.44 in_max_vars: 3
% 0.11/0.44 in_extaxiom_count: 140
% 0.11/0.44 in_axiom_count: 6
% 0.11/0.44 in_assumption_count: 0
% 0.11/0.44 in_goal_count: 1
% 0.11/0.44 in_neg_goal_count: 1
% 0.11/0.44 in_pos_goal_count: 0
% 0.11/0.44 in_posunit_goal_count: 0
% 0.11/0.44
% 0.11/0.44 auto guide:
% 0.11/0.44 -----------
% 0.11/0.44 {
% 0.11/0.44 "print":1,
% 0.11/0.44 "print_level": 15,
% 0.11/0.44 "max_size": 0,
% 0.11/0.44 "max_depth": 0,
% 0.11/0.44 "max_length": 0,
% 0.11/0.44 "max_dseconds": 0,
% 0.11/0.44 "runs":[
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.11/0.44 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.44 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.11/0.44 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.11/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.11/0.44 {"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},
% 0.11/0.44 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.44 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.11/0.44 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.11/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.11/0.44 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.11/0.44 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.44 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.44 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.11/0.44 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.11/0.44 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.11/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.11/0.44 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.11/0.44 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.11/0.44 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.11/0.44 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.11/0.44 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.11/0.44 {"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},
% 0.11/0.44 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.11/0.44 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.11/0.44 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.11/0.44 {"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},
% 0.11/0.44 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.11/0.44
% 0.11/0.44 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
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% 0.11/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.11/0.44 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.11/0.44 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.11/0.44 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.11/0.44 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.11/0.44 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.11/0.44 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.11/0.44 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.11/0.44 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.11/0.44 {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.11/0.44 {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.11/0.44 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.11/0.44 {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.11/0.44 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.11/0.44 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.11/0.44 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.11/0.44 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.11/0.45 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.11/0.45 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.11/0.45 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.11/0.45 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.45 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.11/0.45 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.11/0.45 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.11/0.45 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.11/0.45 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.11/0.45 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.11/0.45 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.11/0.45 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.11/0.45 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.11/0.45 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.11/0.45 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.11/0.45 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.11/0.45 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.11/0.45 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.11/0.45 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.11/0.45 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.11/0.45 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.11/0.45 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.11/0.45 {"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},
% 0.11/0.45 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.11/0.45 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.11/0.45 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.11/0.45 {"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},
% 0.11/0.45 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.11/0.45
% 0.11/0.45 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.45 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.45 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.45 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.11/0.45 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.11/0.45 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.11/0.45 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.11/0.45 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.11/0.45 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.11/0.45 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.11/0.45 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.11/0.45
% 0.11/0.45 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.11/0.45 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.11/0.45 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2}
% 0.11/0.45
% 0.11/0.45 ]}
% 0.11/0.45
% 0.11/0.45
% 0.11/0.45 **** run 1 fork 0 starts with strategy
% 0.11/0.45 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.11/0.45
% 0.11/0.45 **** run 2 fork 1 starts with strategy
% 0.11/0.45 {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.11/0.45
% 0.11/0.45 **** run 3 fork 2 starts with strategy
% 0.11/0.45 {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.11/0.45
% 0.11/0.45 **** run 4 fork 3 starts with strategy
% 0.11/0.45 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.11/0.45
% 0.11/0.45 **** run 5 fork 4 starts with strategy
% 0.11/0.45 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.11/0.45
% 0.11/0.45 **** run 6 fork 5 starts with strategy
% 0.11/0.45 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.46
% 0.21/0.46 **** run 7 fork 6 starts with strategy
% 0.21/0.46 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.47
% 0.21/0.47 **** run 8 fork 7 starts with strategy
% 0.21/0.47 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.48
% 0.21/0.48 fork 1: search finished without proof.
% 0.21/0.48
% 0.21/0.48 fork 2: search finished without proof.
% 0.21/0.48
% 0.21/0.48 fork 3: search finished without proof.
% 0.21/0.56
% 0.21/0.56 **** run 10 fork 1 starts with strategy
% 0.21/0.56 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.21/0.56
% 0.21/0.56 **** run 11 fork 2 starts with strategy
% 0.21/0.56 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.56
% 0.21/0.56 **** run 12 fork 3 starts with strategy
% 0.21/0.56 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.21/0.58
% 0.21/0.58
% 0.21/0.58 fork 0: search terminated without proof.
% 0.21/0.58
% 0.21/0.58
% 0.21/0.58 fork 4: search terminated without proof.
% 1.12/0.61
% 1.12/0.61
% 1.12/0.61 fork 5: search terminated without proof.
% 1.12/0.61
% 1.12/0.61
% 1.12/0.61 fork 7: search terminated without proof.
% 1.12/0.63
% 1.12/0.63
% 1.12/0.63 fork 6: search terminated without proof.
% 1.12/0.65
% 1.12/0.65 **** run 16 fork 7 starts with strategy
% 1.12/0.65 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 1.12/0.65
% 1.12/0.65 **** run 9 fork 0 starts with strategy
% 1.12/0.65 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.12/0.66
% 1.12/0.66 **** run 13 fork 4 starts with strategy
% 1.12/0.66 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 1.63/0.69
% 1.63/0.69
% 1.63/0.69 result: proof found
% 1.63/0.69 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.63/0.69 by run 16 fork 7 strategy {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 1.63/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.63/0.69
% 1.63/0.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.63/0.69 fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 1.63/0.69 inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 1.63/0.69 fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 1.63/0.69 input).
% 1.63/0.69 fof('s1_0_axiom_m4_$sk', plain, ~axiom_m4,
% 1.63/0.69 inference(negpush_and_skolemize,[],['s1_0_axiom_m4'])).
% 1.63/0.69 fof('s1_0_axiom_m4', conjecture, axiom_m4,
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_axiom_m4_$sk', plain, ((~axiom_m4 | is_a_theorem(strict_implies(X1,and(X1,X1)))) & (axiom_m4 | ~is_a_theorem(strict_implies($sk11,and($sk11,$sk11))))),
% 1.63/0.69 inference(negpush_and_skolemize,[],['$inc_axiom_m4'])).
% 1.63/0.69 fof('$inc_axiom_m4', axiom, (axiom_m4 <=> (! [X] : is_a_theorem(strict_implies(X,and(X,X))))),
% 1.63/0.69 input).
% 1.63/0.69 fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 1.63/0.69 inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 1.63/0.69 fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_km4b_necessitation', axiom, necessitation,
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_modus_ponens_$sk', plain, ((~modus_ponens | (is_a_theorem(X2) | (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens | (~is_a_theorem($sk94) & (is_a_theorem(implies($sk93,$sk94)) & is_a_theorem($sk93))))),
% 1.63/0.69 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 1.63/0.69 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 1.63/0.69 input).
% 1.63/0.69 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($sk86,implies($sk86,$sk85)),implies($sk86,$sk85))))),
% 1.63/0.69 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 1.63/0.69 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_hilbert_implies_2', axiom, implies_2,
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_and_3_$sk', plain, ((~and_3 | is_a_theorem(implies(X2,implies(X1,and(X2,X1))))) & (and_3 | ~is_a_theorem(implies($sk77,implies($sk76,and($sk77,$sk76)))))),
% 1.63/0.69 inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 1.63/0.69 fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 1.63/0.69 input).
% 1.63/0.69 fof('$inc_hilbert_and_3', axiom, and_3,
% 1.63/0.69 input).
% 1.63/0.69 cnf('1', plain, (~$pr(op_strict_implies) | strict_implies(X,Y) = necessarily(implies(X,Y))),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 1.63/0.69 cnf('2', plain, (~$pr(axiom_m4)),
% 1.63/0.69 inference(cnf_transformation,[],['s1_0_axiom_m4_$sk'])).
% 1.63/0.69 cnf('3', plain, (~is_a_theorem(strict_implies($sk11,and($sk11,$sk11))) | $pr(axiom_m4)),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_axiom_m4_$sk'])).
% 1.63/0.69 cnf('4', plain, (~is_a_theorem(strict_implies($sk11,and($sk11,$sk11)))),
% 1.63/0.69 inference(resolution,[],['2','3'])).
% 1.63/0.69 cnf('5', plain, ($pr(op_strict_implies)),
% 1.63/0.69 inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 1.63/0.69 cnf('6', plain, (~is_a_theorem(necessarily(implies($sk11,and($sk11,$sk11))))),
% 1.63/0.69 inference(paramodulation,[then_simplify],['1','4','5'])).
% 1.63/0.69 cnf('7', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 1.63/0.69 cnf('8', plain, ($pr(necessitation)),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_km4b_necessitation'])).
% 1.63/0.69 cnf('9', plain, (~is_a_theorem(implies($sk11,and($sk11,$sk11)))),
% 1.63/0.69 inference(resolution,[then_simplify],['6','7','8'])).
% 1.63/0.69 cnf('10', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 1.63/0.69 cnf('11', plain, ($pr(modus_ponens)),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 1.63/0.69 cnf('12', plain, (~is_a_theorem(implies(X,implies($sk11,and($sk11,$sk11)))) | ~is_a_theorem(X)),
% 1.63/0.69 inference(resolution,[then_simplify],['9','10','11'])).
% 1.63/0.69 cnf('13', plain, (~$pr(implies_2) | is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 1.63/0.69 cnf('14', plain, ($pr(implies_2)),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_hilbert_implies_2'])).
% 1.63/0.69 cnf('15', plain, (~is_a_theorem(implies($sk11,implies($sk11,and($sk11,$sk11))))),
% 1.63/0.69 inference(resolution,[then_simplify],['12','13','14'])).
% 1.63/0.69 cnf('16', plain, (~$pr(and_3) | is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 1.63/0.69 cnf('17', plain, ($pr(and_3)),
% 1.63/0.69 inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 1.63/0.69 cnf('18', plain, ($false),
% 1.63/0.69 inference(resolution,[then_simplify],['15','16','17'])).
% 1.63/0.69
% 1.63/0.69 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.63/0.69
% 1.63/0.69 run 16 fork 7 statistics:
% 1.63/0.69 ----------------------------------
% 1.63/0.69 this run seconds: 0.018000
% 1.63/0.69 total seconds: 0.197940
% 1.63/0.69 stat_given_used: 289
% 1.63/0.69 stat_given_used_at_endgame: 0
% 1.63/0.69 stat_given_candidates: 450
% 1.63/0.69 stat_given_candidates_at_endgame: 0
% 1.63/0.69 stat_given_candidates_h: 0
% 1.63/0.69 stat_binres_derived_cl: 1076
% 1.63/0.69 stat_binres_derived_cl_h: 0
% 1.63/0.69 stat_factor_derived_cl: 4
% 1.63/0.69 stat_para_derived_cl: 925
% 1.63/0.69 stat_tautologies_discarded: 0
% 1.63/0.69 stat_forward_subsumed: 126
% 1.63/0.69 stat_derived_cut: 941
% 1.63/0.69 stat_derived_rewritten: 0
% 1.63/0.69 stat_weight_discarded_building: 0
% 1.63/0.69 stat_weight_discarded_cl: 0
% 1.63/0.69 stat_internlimit_discarded_cl: 0
% 1.63/0.69 stat_simplified: 0 simplified 0 derived 0 given
% 1.63/0.69 stat_kept_cl: 1878
% 1.63/0.69 stat_built_cl: 2748
% 1.63/0.69 stat_hyperres_partial_cl: 0
% 1.63/0.69 stat_made_rewriters: 0
% 1.63/0.69 stat_backward_subsumed: 0
% 1.63/0.69 stat_propagated_subsumed: 0
% 1.63/0.69 stat_clsubs_attempted: 3150
% 1.63/0.69 stat_clsubs_fact_groundunit_found: 0
% 1.63/0.69 stat_clsubs_rule_groundunit_found: 11
% 1.63/0.69 stat_clsubs_top_meta_attempted: 98118
% 1.63/0.69 stat_clsubs_top_meta_failed: 94968
% 1.63/0.69 stat_clsubs_top_meta_nonpref_attempted: 98118
% 1.63/0.69 stat_clsubs_top_meta_nonpref_succeeded: 23762
% 1.63/0.69 stat_clsubs_top_meta_pref_attempted: 23762
% 1.63/0.69 stat_clsubs_top_meta_pref1_succeeded: 18015
% 1.63/0.69 stat_clsubs_top_meta_pref2_succeeded: 4277
% 1.63/0.69 stat_clsubs_top_meta_pref3_succeeded: 3150
% 1.63/0.69 stat_clsubs_top_meta_pref_succeeded: 3150
% 1.63/0.69 stat_clsubs_meta_attempted: 8446
% 1.63/0.69 stat_clsubs_meta_failed: 4458
% 1.63/0.69 stat_clsubs_predsymbs_attempted: 0
% 1.63/0.69 stat_clsubs_unit_attempted: 611
% 1.63/0.69 stat_clsubs_full_attempted: 2539
% 1.63/0.69 stat_forwardsubs_attempted: 2005
% 1.63/0.69 stat_lit_hash_added: 1347
% 1.63/0.69 stat_lit_hash_computed: 13971
% 1.63/0.69 stat_lit_hash_match_found: 1096
% 1.63/0.69 stat_lit_hash_match_miss: 18466
% 1.63/0.69 stat_lit_hash_cut_ok: 959
% 1.63/0.69 stat_lit_strong_cut_ok: 0
% 1.63/0.69 stat_lit_hash_subsume_ok: 126
% 1.63/0.69 clqueue els 10000000 used 1
% 1.63/0.69 clactive els 10000000 used 436
% 1.63/0.69 clactivesubsume els 10000000 used 2269
% 1.63/0.69 queue_termbuf els 200000000 used 127836
% 1.63/0.69 hyper_termbuf els 100000000 used 1
% 1.63/0.69 active_termbuf els 100000000 used 16977
% 1.63/0.69 varstack els 5000 last used 1
% 1.63/0.69 given_termbuf els 10000000 last used 1
% 1.63/0.69 simplified_termbuf els 10000000 last used 1
% 1.63/0.69 derived_termbuf els 10000000 last used 21
% 1.63/0.69 wr_mallocs: 5971
% 1.63/0.69 wr_callocs: 21
% 1.63/0.69 wr_reallocs: 243
% 1.63/0.69 wr_frees: 4
% 1.63/0.69 wr_malloc_bytes: 4162805028
% 1.63/0.69 wr_calloc_bytes: 112065536
% 1.63/0.69 wr_realloc_bytes: 48528
% 1.63/0.69 wr_realloc_freebytes: 0
% 1.63/0.69 ----------------------------------
% 1.63/0.69
% 1.63/0.69
% 1.63/0.69 fork 3: search terminated without proof.
% 1.63/0.70
% 1.63/0.70
% 1.63/0.70 fork 2: search terminated without proof.
%------------------------------------------------------------------------------