%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL456+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n004.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 12:08:40 PM UTC 2026
% Result : Theorem 2.61s 0.86s
% Output : CNFRefutation 2.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL456+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : gkc %s
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 4 18:42:44 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.22/0.47
% 0.22/0.47 input clause set summed statistics:
% 0.22/0.47 ----------------------------------
% 0.22/0.47 in_clause_count: 82
% 0.22/0.47 in_rule_clause_count: 82
% 0.22/0.47 in_fact_clause_count: 0
% 0.22/0.47 in_answer_clause_count: 0
% 0.22/0.47 in_ground_clause_count: 51
% 0.22/0.47 in_unit_clause_count: 22
% 0.22/0.47 in_horn_clause_count: 79
% 0.22/0.47 in_pos_clause_count: 24
% 0.22/0.47 in_neg_clause_count: 1
% 0.22/0.47 in_poseq_clause_count: 6
% 0.22/0.47 in_negeq_clause_count: 1
% 0.22/0.47 in_unitposeq_clause_count: 0
% 0.22/0.47 in_chain_clause_count: 0
% 0.22/0.47 in_min_length: 1
% 0.22/0.47 in_max_length: 4
% 0.22/0.47 in_min_depth: 1
% 0.22/0.47 in_max_depth: 5
% 0.22/0.47 in_min_size: 2
% 0.22/0.47 in_max_size: 16
% 0.22/0.47 in_min_vars: 0
% 0.22/0.47 in_max_vars: 3
% 0.22/0.47 in_extaxiom_count: 78
% 0.22/0.47 in_axiom_count: 3
% 0.22/0.47 in_assumption_count: 0
% 0.22/0.47 in_goal_count: 1
% 0.22/0.47 in_neg_goal_count: 1
% 0.22/0.47 in_pos_goal_count: 0
% 0.22/0.47 in_posunit_goal_count: 0
% 0.22/0.47
% 0.22/0.47 auto guide:
% 0.22/0.47 -----------
% 0.22/0.47 {
% 0.22/0.47 "print":1,
% 0.22/0.47 "print_level": 15,
% 0.22/0.47 "max_size": 0,
% 0.22/0.47 "max_depth": 0,
% 0.22/0.47 "max_length": 0,
% 0.22/0.47 "max_dseconds": 0,
% 0.22/0.47 "runs":[
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.47 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.47 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.47 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.47 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.22/0.47 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.47 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.22/0.47 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.22/0.47 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.22/0.47 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.22/0.47 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.47 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.47 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.22/0.47 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.47 {"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},
% 0.22/0.47 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.47 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.22/0.47 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.47 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.47 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.47 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.47 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.47 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.22/0.47 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.22/0.47 {"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},
% 0.22/0.47 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.22/0.47 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.22/0.47 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.47 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.47 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.47 {"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},
% 0.22/0.47 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.22/0.47 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.22/0.47 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.22/0.47 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.22/0.47
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.47 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.47 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.22/0.47 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.47 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
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% 0.22/0.47 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.22/0.47 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.47 {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.22/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.22/0.48 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.48 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.22/0.48 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.22/0.48 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.22/0.48 {"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},
% 0.22/0.48 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.48 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.48 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.22/0.48 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.48 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.48 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.22/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.22/0.48 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.22/0.48 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.48 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.48 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.22/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.48 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.22/0.48 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.22/0.48 {"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},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.22/0.48 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.22/0.48 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.48 {"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},
% 0.22/0.48 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.22/0.48 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.22/0.48 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.22/0.48 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.22/0.48
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.48 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.22/0.48 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.48 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.22/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.22/0.48 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.22/0.48
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.22/0.48 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.22/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.22/0.48
% 0.22/0.48 ]}
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 **** run 1 fork 0 starts with strategy
% 0.22/0.48 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.48
% 0.22/0.48 **** run 2 fork 1 starts with strategy
% 0.22/0.48 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.22/0.48
% 0.22/0.48 **** run 3 fork 2 starts with strategy
% 0.22/0.48 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.49
% 0.22/0.49 **** run 4 fork 3 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.22/0.49
% 0.22/0.49 **** run 5 fork 4 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.49
% 0.22/0.49 **** run 6 fork 5 starts with strategy
% 0.22/0.49 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.50
% 0.22/0.50 **** run 7 fork 6 starts with strategy
% 0.22/0.50 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.22/0.50
% 0.22/0.50 **** run 8 fork 7 starts with strategy
% 0.22/0.50 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.22/0.51
% 0.22/0.51 fork 3: search finished without proof.
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% 0.83/0.59 fork 1: search terminated without proof.
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% 0.83/0.59 fork 2: search terminated without proof.
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% 0.83/0.60 fork 5: search terminated without proof.
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% 0.83/0.60 fork 7: search terminated without proof.
% 0.83/0.60
% 0.83/0.60 **** run 12 fork 3 starts with strategy
% 0.83/0.60 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.83/0.61
% 0.83/0.61
% 0.83/0.61 fork 4: search terminated without proof.
% 0.83/0.62
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% 0.83/0.62 fork 6: search terminated without proof.
% 0.83/0.63
% 0.83/0.63 **** run 11 fork 2 starts with strategy
% 0.83/0.63 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.34/0.66
% 1.34/0.66 **** run 9 fork 0 starts with strategy
% 1.34/0.66 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.34/0.66
% 1.34/0.66 **** run 10 fork 1 starts with strategy
% 1.34/0.66 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.34/0.67
% 1.34/0.67 **** run 14 fork 5 starts with strategy
% 1.34/0.67 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 1.34/0.67
% 1.34/0.67 **** run 16 fork 7 starts with strategy
% 1.34/0.67 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 1.34/0.68
% 1.34/0.68 **** run 13 fork 4 starts with strategy
% 1.34/0.68 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.34/0.70
% 1.34/0.70 **** run 15 fork 6 starts with strategy
% 1.34/0.70 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.79/0.71
% 1.79/0.71
% 1.79/0.71 fork 3: search terminated without proof.
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% 1.79/0.77 fork 5: search terminated without proof.
% 1.79/0.78
% 1.79/0.78 **** run 19 fork 2 starts with strategy
% 1.79/0.78 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 1.79/0.78
% 1.79/0.78 **** run 20 fork 3 starts with strategy
% 1.79/0.78 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 1.79/0.78
% 1.79/0.78
% 1.79/0.78 fork 7: search terminated without proof.
% 1.79/0.79
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% 1.79/0.79 fork 4: search terminated without proof.
% 2.61/0.80
% 2.61/0.80
% 2.61/0.80 fork 6: search terminated without proof.
% 2.61/0.83
% 2.61/0.83 **** run 17 fork 0 starts with strategy
% 2.61/0.83 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 2.61/0.83
% 2.61/0.83 **** run 18 fork 1 starts with strategy
% 2.61/0.83 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.61/0.84
% 2.61/0.84 **** run 22 fork 5 starts with strategy
% 2.61/0.84 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.61/0.85
% 2.61/0.85 **** run 24 fork 7 starts with strategy
% 2.61/0.85 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.61/0.86
% 2.61/0.86
% 2.61/0.86 result: proof found
% 2.61/0.86 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/0.86 by run 19 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.61/0.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/0.86
% 2.61/0.86 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/0.86 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 2.61/0.86 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_op_implies_and', axiom, op_implies_and,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 2.61/0.86 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_op_or', axiom, op_or,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 2.61/0.86 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 2.61/0.86 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('principia_op_and', axiom, op_and,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 2.61/0.86 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 2.61/0.86 input).
% 2.61/0.86 fof('principia_op_implies_or', axiom, op_implies_or,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_implies_2_$sk', plain, ((~implies_2 | is_a_theorem(implies(implies(X2,implies(X2,X1)),implies(X2,X1)))) & (implies_2 | ~is_a_theorem(implies(implies($sk47,implies($sk47,$sk46)),implies($sk47,$sk46))))),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 2.61/0.86 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_implies_2', axiom, implies_2,
% 2.61/0.86 input).
% 2.61/0.86 fof('$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($sk54))))),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 2.61/0.86 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_implies_1_$sk', plain, ((~implies_1 | is_a_theorem(implies(X2,implies(X1,X2)))) & (implies_1 | ~is_a_theorem(implies($sk49,implies($sk48,$sk49))))),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 2.61/0.86 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_implies_1', axiom, implies_1,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_and_3_$sk', plain, ((~and_3 | is_a_theorem(implies(X2,implies(X1,and(X2,X1))))) & (and_3 | ~is_a_theorem(implies($sk38,implies($sk37,and($sk38,$sk37)))))),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 2.61/0.86 fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_and_3', axiom, and_3,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_substitution_of_equivalents_$sk', plain, ((~substitution_of_equivalents | ((X2 = X1) | ~is_a_theorem(equiv(X2,X1)))) & (substitution_of_equivalents | (~($sk53 = $sk52) & is_a_theorem(equiv($sk53,$sk52))))),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 2.61/0.86 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_use_substitution_of_equivalents', axiom, substitution_of_equivalents,
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_modus_tollens_$sk', plain, ((~modus_tollens | is_a_theorem(implies(implies(not(X2),not(X1)),implies(X1,X2)))) & (modus_tollens | ~is_a_theorem(implies(implies(not($sk51),not($sk50)),implies($sk50,$sk51))))),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_modus_tollens'])).
% 2.61/0.86 fof('$inc_modus_tollens', axiom, (modus_tollens <=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('$inc_hilbert_modus_tollens', axiom, modus_tollens,
% 2.61/0.86 input).
% 2.61/0.86 fof('$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,$sk8))))),
% 2.61/0.86 inference(negpush_and_skolemize,[],['$inc_r3'])).
% 2.61/0.86 fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 2.61/0.86 input).
% 2.61/0.86 fof('principia_r3_$sk', plain, ~r3,
% 2.61/0.86 inference(negpush_and_skolemize,[],['principia_r3'])).
% 2.61/0.86 fof('principia_r3', conjecture, r3,
% 2.61/0.86 input).
% 2.61/0.86 cnf('1', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 2.61/0.86 cnf('2', plain, ($pr(op_implies_and)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_op_implies_and'])).
% 2.61/0.86 cnf('3', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 2.61/0.86 inference(simplify,[],['1','2'])).
% 2.61/0.86 cnf('4', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 2.61/0.86 cnf('5', plain, ($pr(op_or)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_op_or'])).
% 2.61/0.86 cnf('6', plain, (or(X,Y) = implies(not(X),Y)),
% 2.61/0.86 inference(simplify,[then_simplify],['4','5','3'])).
% 2.61/0.86 cnf('7', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 2.61/0.86 cnf('8', plain, ($pr(op_equiv)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 2.61/0.86 cnf('9', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 2.61/0.86 inference(simplify,[],['7','8'])).
% 2.61/0.86 cnf('10', plain, (equiv(X3,not(Y3)) = and(implies(X3,not(Y3)),or(Y3,X3))),
% 2.61/0.86 inference(paramodulation,[],['6','9'])).
% 2.61/0.86 cnf('11', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 2.61/0.86 cnf('12', plain, ($pr(op_and)),
% 2.61/0.86 inference(cnf_transformation,[],['principia_op_and'])).
% 2.61/0.86 cnf('13', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 2.61/0.86 cnf('14', plain, ($pr(op_implies_or)),
% 2.61/0.86 inference(cnf_transformation,[],['principia_op_implies_or'])).
% 2.61/0.86 cnf('15', plain, (implies(X,Y) = or(not(X),Y)),
% 2.61/0.86 inference(simplify,[],['13','14'])).
% 2.61/0.86 cnf('16', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 2.61/0.86 inference(simplify,[then_simplify],['11','12','15'])).
% 2.61/0.86 cnf('17', plain, (and(not(X),Y) = not(or(X,not(Y)))),
% 2.61/0.86 inference(paramodulation,[],['6','16'])).
% 2.61/0.86 cnf('18', plain, (and(not(not(X3)),Y3) = not(implies(X3,not(Y3)))),
% 2.61/0.86 inference(paramodulation,[],['15','17'])).
% 2.61/0.86 cnf('19', plain, (and(not(not(X)),Y) = and(X,Y)),
% 2.61/0.86 inference(simplify,[],['18','16'])).
% 2.61/0.86 cnf('20', plain, (and(not(and(X,Y)),Z) = and(implies(X,not(Y)),Z)),
% 2.61/0.86 inference(paramodulation,[],['16','19'])).
% 2.61/0.86 cnf('21', plain, (equiv(X,not(Y)) = and(not(and(X,Y)),or(Y,X))),
% 2.61/0.86 inference(simplify,[],['10','20'])).
% 2.61/0.86 cnf('22', plain, (equiv(X3,not(not(Y3))) = and(implies(X3,Y3),or(not(Y3),X3))),
% 2.61/0.86 inference(paramodulation,[],['3','21'])).
% 2.61/0.86 cnf('23', plain, (equiv(X,not(not(Y))) = equiv(X,Y)),
% 2.61/0.86 inference(simplify,[then_simplify],['22','15','9'])).
% 2.61/0.86 cnf('24', plain, (~$pr(implies_2) | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 2.61/0.86 cnf('25', plain, ($pr(implies_2)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_implies_2'])).
% 2.61/0.86 cnf('26', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 2.61/0.86 inference(simplify,[],['24','25'])).
% 2.61/0.86 cnf('27', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 2.61/0.86 cnf('28', plain, ($pr(modus_ponens)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 2.61/0.86 cnf('29', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 2.61/0.86 inference(simplify,[],['27','28'])).
% 2.61/0.86 cnf('30', plain, (~is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y))),
% 2.61/0.86 inference(resolution,[],['26','29'])).
% 2.61/0.86 cnf('31', plain, (~$pr(implies_1) | is_a_theorem(implies(X0,implies(X1,X0)))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 2.61/0.86 cnf('32', plain, ($pr(implies_1)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_implies_1'])).
% 2.61/0.86 cnf('33', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 2.61/0.86 inference(simplify,[],['31','32'])).
% 2.61/0.86 cnf('34', plain, (is_a_theorem(implies(X,X))),
% 2.61/0.86 inference(resolution,[],['30','33'])).
% 2.61/0.86 cnf('35', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 2.61/0.86 cnf('36', plain, ($pr(and_3)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 2.61/0.86 cnf('37', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 2.61/0.86 inference(simplify,[],['35','36'])).
% 2.61/0.86 cnf('38', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 2.61/0.86 inference(resolution,[],['29','37'])).
% 2.61/0.86 cnf('39', plain, (is_a_theorem(implies(X,and(implies(Y,Y),X)))),
% 2.61/0.86 inference(resolution,[],['34','38'])).
% 2.61/0.86 cnf('40', plain, (is_a_theorem(and(implies(X,X),Y)) | ~is_a_theorem(Y)),
% 2.61/0.86 inference(resolution,[],['39','29'])).
% 2.61/0.86 cnf('41', plain, (is_a_theorem(and(implies(X,X),implies(Y,Y)))),
% 2.61/0.86 inference(resolution,[],['40','34'])).
% 2.61/0.86 cnf('42', plain, (is_a_theorem(equiv(X,X))),
% 2.61/0.86 inference(paramodulation,[],['9','41'])).
% 2.61/0.86 cnf('43', plain, (is_a_theorem(equiv(not(not(X)),X))),
% 2.61/0.86 inference(paramodulation,[],['23','42'])).
% 2.61/0.86 cnf('44', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 2.61/0.86 cnf('45', plain, ($pr(substitution_of_equivalents)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_use_substitution_of_equivalents'])).
% 2.61/0.86 cnf('46', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 2.61/0.86 inference(simplify,[],['44','45'])).
% 2.61/0.86 cnf('47', plain, (not(not(X)) = X),
% 2.61/0.86 inference(resolution,[],['43','46'])).
% 2.61/0.86 cnf('48', plain, (~$pr(modus_tollens) | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_modus_tollens_$sk'])).
% 2.61/0.86 cnf('49', plain, ($pr(modus_tollens)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_hilbert_modus_tollens'])).
% 2.61/0.86 cnf('50', plain, (is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X)))),
% 2.61/0.86 inference(simplify,[],['48','49'])).
% 2.61/0.86 cnf('51', plain, (is_a_theorem(implies(or(X,not(Y)),implies(Y,X)))),
% 2.61/0.86 inference(paramodulation,[],['6','50'])).
% 2.61/0.86 cnf('52', plain, (is_a_theorem(implies(or(X3,Y3),implies(not(Y3),X3)))),
% 2.61/0.86 inference(paramodulation,[],['47','51'])).
% 2.61/0.86 cnf('53', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 2.61/0.86 inference(simplify,[],['52','6'])).
% 2.61/0.86 cnf('54', plain, (~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8))) | $pr(r3)),
% 2.61/0.86 inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 2.61/0.86 cnf('55', plain, (~$pr(r3)),
% 2.61/0.86 inference(cnf_transformation,[],['principia_r3_$sk'])).
% 2.61/0.86 cnf('56', plain, (~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8)))),
% 2.61/0.86 inference(simplify,[],['54','55'])).
% 2.61/0.86 cnf('57', plain, ($false),
% 2.61/0.86 inference(resolution,[],['53','56'])).
% 2.61/0.86
% 2.61/0.86 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.61/0.86
% 2.61/0.86 run 19 fork 2 statistics:
% 2.61/0.86 ----------------------------------
% 2.61/0.86 this run seconds: 0.020355
% 2.61/0.86 total seconds: 0.349076
% 2.61/0.86 stat_given_used: 298
% 2.61/0.86 stat_given_used_at_endgame: 0
% 2.61/0.86 stat_given_candidates: 740
% 2.61/0.86 stat_given_candidates_at_endgame: 0
% 2.61/0.86 stat_given_candidates_h: 0
% 2.61/0.86 stat_binres_derived_cl: 1641
% 2.61/0.86 stat_binres_derived_cl_h: 0
% 2.61/0.86 stat_factor_derived_cl: 0
% 2.61/0.86 stat_para_derived_cl: 4355
% 2.61/0.86 stat_tautologies_discarded: 2
% 2.61/0.86 stat_forward_subsumed: 424
% 2.61/0.86 stat_derived_cut: 38
% 2.61/0.86 stat_derived_rewritten: 39
% 2.61/0.86 stat_weight_discarded_building: 0
% 2.61/0.86 stat_weight_discarded_cl: 4418
% 2.61/0.86 stat_internlimit_discarded_cl: 0
% 2.61/0.86 stat_simplified: 73 simplified 0 derived 0 given
% 2.61/0.86 stat_kept_cl: 1066
% 2.61/0.86 stat_built_cl: 6153
% 2.61/0.86 stat_hyperres_partial_cl: 0
% 2.61/0.86 stat_made_rewriters: 37
% 2.61/0.86 stat_backward_subsumed: 0
% 2.61/0.86 stat_propagated_subsumed: 0
% 2.61/0.86 stat_clsubs_attempted: 3464
% 2.61/0.86 stat_clsubs_fact_groundunit_found: 2
% 2.61/0.86 stat_clsubs_rule_groundunit_found: 24
% 2.61/0.86 stat_clsubs_top_meta_attempted: 56155
% 2.61/0.86 stat_clsubs_top_meta_failed: 52691
% 2.61/0.86 stat_clsubs_top_meta_nonpref_attempted: 56155
% 2.61/0.86 stat_clsubs_top_meta_nonpref_succeeded: 20359
% 2.61/0.86 stat_clsubs_top_meta_pref_attempted: 20359
% 2.61/0.86 stat_clsubs_top_meta_pref1_succeeded: 15870
% 2.61/0.86 stat_clsubs_top_meta_pref2_succeeded: 4477
% 2.61/0.86 stat_clsubs_top_meta_pref3_succeeded: 3464
% 2.61/0.86 stat_clsubs_top_meta_pref_succeeded: 3464
% 2.61/0.86 stat_clsubs_meta_attempted: 4099
% 2.61/0.86 stat_clsubs_meta_failed: 549
% 2.61/0.86 stat_clsubs_predsymbs_attempted: 0
% 2.61/0.86 stat_clsubs_unit_attempted: 3035
% 2.61/0.86 stat_clsubs_full_attempted: 429
% 2.61/0.86 stat_forwardsubs_attempted: 5908
% 2.61/0.86 stat_lit_hash_added: 1530
% 2.61/0.86 stat_lit_hash_computed: 9733
% 2.61/0.86 stat_lit_hash_match_found: 571
% 2.61/0.86 stat_lit_hash_match_miss: 14071
% 2.61/0.86 stat_lit_hash_cut_ok: 40
% 2.61/0.86 stat_lit_strong_cut_ok: 1
% 2.61/0.86 stat_lit_hash_subsume_ok: 424
% 2.61/0.86 clqueue els 10000000 used 1
% 2.61/0.86 clactive els 10000000 used 299
% 2.61/0.86 clactivesubsume els 10000000 used 1615
% 2.61/0.86 queue_termbuf els 200000000 used 66789
% 2.61/0.86 hyper_termbuf els 100000000 used 1
% 2.61/0.86 active_termbuf els 100000000 used 10634
% 2.61/0.86 varstack els 5000 last used 1
% 2.61/0.86 given_termbuf els 10000000 last used 1
% 2.61/0.86 simplified_termbuf els 10000000 last used 1
% 2.61/0.86 derived_termbuf els 10000000 last used 5
% 2.61/0.86 wr_mallocs: 5374
% 2.61/0.86 wr_callocs: 21
% 2.61/0.86 wr_reallocs: 300
% 2.61/0.86 wr_frees: 2
% 2.61/0.86 wr_malloc_bytes: 4162769668
% 2.61/0.86 wr_calloc_bytes: 112065536
% 2.61/0.86 wr_realloc_bytes: 46152
% 2.61/0.86 wr_realloc_freebytes: 0
% 2.61/0.86 ----------------------------------
% 2.61/0.86
% 2.61/0.86 **** run 21 fork 4 starts with strategy
% 2.61/0.86 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
%------------------------------------------------------------------------------