TSTP Solution File: LCL488+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL488+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:39:28 EDT 2023
% Result : Theorem 0.19s 0.68s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL488+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 19:35:56 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.39
% 0.19/0.39 input clause set summed statistics:
% 0.19/0.39 ----------------------------------
% 0.19/0.39 in_clause_count: 74
% 0.19/0.39 in_rule_clause_count: 74
% 0.19/0.39 in_fact_clause_count: 0
% 0.19/0.39 in_answer_clause_count: 0
% 0.19/0.39 in_ground_clause_count: 43
% 0.19/0.39 in_unit_clause_count: 14
% 0.19/0.39 in_horn_clause_count: 71
% 0.19/0.39 in_pos_clause_count: 16
% 0.19/0.39 in_neg_clause_count: 1
% 0.19/0.39 in_poseq_clause_count: 6
% 0.19/0.39 in_negeq_clause_count: 1
% 0.19/0.39 in_unitposeq_clause_count: 0
% 0.19/0.39 in_chain_clause_count: 0
% 0.19/0.39 in_min_length: 1
% 0.19/0.39 in_max_length: 4
% 0.19/0.39 in_min_depth: 1
% 0.19/0.39 in_max_depth: 5
% 0.19/0.39 in_min_size: 2
% 0.19/0.39 in_max_size: 16
% 0.19/0.39 in_min_vars: 0
% 0.19/0.39 in_max_vars: 3
% 0.19/0.39 in_extaxiom_count: 70
% 0.19/0.39 in_axiom_count: 3
% 0.19/0.39 in_assumption_count: 0
% 0.19/0.39 in_goal_count: 1
% 0.19/0.39 in_neg_goal_count: 1
% 0.19/0.39 in_pos_goal_count: 0
% 0.19/0.39 in_posunit_goal_count: 0
% 0.19/0.39
% 0.19/0.39 auto guide:
% 0.19/0.39 -----------
% 0.19/0.39 {
% 0.19/0.39 "print":1,
% 0.19/0.39 "print_level": 15,
% 0.19/0.39 "max_size": 0,
% 0.19/0.39 "max_depth": 0,
% 0.19/0.39 "max_length": 0,
% 0.19/0.39 "max_dseconds": 0,
% 0.19/0.39 "runs":[
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39 {"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},
% 0.19/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.39 {"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},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"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},
% 0.19/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.19/0.39
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.19/0.39 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.19/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39 {"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},
% 0.19/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.39 {"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},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"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},
% 0.19/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.19/0.39
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.39 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.19/0.39
% 0.19/0.39 ]}
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 **** run 1 fork 0 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.39
% 0.19/0.39 **** run 2 fork 1 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.39
% 0.19/0.39 **** run 3 fork 2 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.39
% 0.19/0.39 **** run 4 fork 3 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.40
% 0.19/0.40 **** run 5 fork 4 starts with strategy
% 0.19/0.40
% 0.19/0.40 **** run 6 fork 5 starts with strategy
% 0.19/0.40 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40
% 0.19/0.40 **** run 7 fork 6 starts with strategy
% 0.19/0.40 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.41
% 0.19/0.41 **** run 8 fork 7 starts with strategy
% 0.19/0.41 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.42
% 0.19/0.42 fork 3: search finished without proof.
% 0.19/0.45
% 0.19/0.45 **** run 12 fork 3 starts with strategy
% 0.19/0.45 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 2: search terminated without proof.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 0: search terminated without proof.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 4: search terminated without proof.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 5: search terminated without proof.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 fork 6: search terminated without proof.
% 0.19/0.54
% 0.19/0.54 **** run 9 fork 0 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.54
% 0.19/0.54 **** run 11 fork 2 starts with strategy
% 0.19/0.54 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.55
% 0.19/0.55 **** run 13 fork 4 starts with strategy
% 0.19/0.55 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.55
% 0.19/0.55 **** run 15 fork 6 starts with strategy
% 0.19/0.55 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.55
% 0.19/0.55 **** run 14 fork 5 starts with strategy
% 0.19/0.55 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.19/0.57
% 0.19/0.57
% 0.19/0.57 fork 3: search terminated without proof.
% 0.19/0.60
% 0.19/0.60 **** run 20 fork 3 starts with strategy
% 0.19/0.60 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.19/0.66
% 0.19/0.66
% 0.19/0.66 fork 2: search terminated without proof.
% 0.19/0.66
% 0.19/0.66
% 0.19/0.66 fork 4: search terminated without proof.
% 0.19/0.66
% 0.19/0.66
% 0.19/0.66 fork 6: search terminated without proof.
% 0.19/0.67
% 0.19/0.67
% 0.19/0.67 fork 5: search terminated without proof.
% 0.19/0.68
% 0.19/0.68 **** run 19 fork 2 starts with strategy
% 0.19/0.68 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.19/0.68
% 0.19/0.68 **** run 21 fork 4 starts with strategy
% 0.19/0.68 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 0.19/0.68
% 0.19/0.68
% 0.19/0.68 result: proof found
% 0.19/0.68 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.68 by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.68
% 0.19/0.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.68 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 0.19/0.68 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 0.19/0.68 input).
% 0.19/0.68 fof('hilbert_op_or', axiom, op_or,
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 0.19/0.68 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 0.19/0.68 input).
% 0.19/0.68 fof('hilbert_op_implies_and', axiom, op_implies_and,
% 0.19/0.68 input).
% 0.19/0.68 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,$sk49))))),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 0.19/0.68 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 0.19/0.68 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_principia_op_implies_or', axiom, op_implies_or,
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_r2_$sk', plain, ((~r2 | is_a_theorem(implies(X2,or(X1,X2)))) & (r2 | ~is_a_theorem(implies($sk10,or($sk9,$sk10))))),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_r2'])).
% 0.19/0.68 fof('$inc_r2', axiom, (r2 <=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))))),
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_principia_r2', axiom, r2,
% 0.19/0.68 input).
% 0.19/0.68 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))))),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 0.19/0.68 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_principia_modus_ponens', axiom, modus_ponens,
% 0.19/0.68 input).
% 0.19/0.68 fof('$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,$sk8))))),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_r3'])).
% 0.19/0.68 fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_principia_r3', axiom, r3,
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 0.19/0.68 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_principia_op_and', axiom, op_and,
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_r1_$sk', plain, ((~r1 | is_a_theorem(implies(or(X1,X1),X1))) & (r1 | ~is_a_theorem(implies(or($sk11,$sk11),$sk11)))),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_r1'])).
% 0.19/0.68 fof('$inc_r1', axiom, (r1 <=> (! [P] : is_a_theorem(implies(or(P,P),P)))),
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_principia_r1', axiom, r1,
% 0.19/0.68 input).
% 0.19/0.68 fof('$inc_and_2_$sk', plain, ((~and_2 | is_a_theorem(implies(and(X2,X1),X1))) & (and_2 | ~is_a_theorem(implies(and($sk40,$sk39),$sk39)))),
% 0.19/0.68 inference(negpush_and_skolemize,[],['$inc_and_2'])).
% 0.19/0.68 fof('$inc_and_2', axiom, (and_2 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)))),
% 0.19/0.68 input).
% 0.19/0.68 fof('hilbert_and_2_$sk', plain, ~and_2,
% 0.19/0.68 inference(negpush_and_skolemize,[],['hilbert_and_2'])).
% 0.19/0.68 fof('hilbert_and_2', conjecture, and_2,
% 0.19/0.68 input).
% 0.19/0.68 cnf('1', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 0.19/0.68 cnf('2', plain, ($pr(op_or)),
% 0.19/0.68 inference(cnf_transformation,[],['hilbert_op_or'])).
% 0.19/0.68 cnf('3', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 0.19/0.68 cnf('4', plain, ($pr(op_implies_and)),
% 0.19/0.68 inference(cnf_transformation,[],['hilbert_op_implies_and'])).
% 0.19/0.68 cnf('5', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 0.19/0.68 inference(simplify,[],['3','4'])).
% 0.19/0.68 cnf('6', plain, (or(X,Y) = implies(not(X),Y)),
% 0.19/0.68 inference(simplify,[then_simplify],['1','2','5'])).
% 0.19/0.68 cnf('7', plain, (~$pr(implies_1) | is_a_theorem(implies(X,implies(Y,X)))),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 0.19/0.68 cnf('8', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 0.19/0.68 cnf('9', plain, ($pr(op_implies_or)),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_principia_op_implies_or'])).
% 0.19/0.68 cnf('10', plain, (implies(X,Y) = or(not(X),Y)),
% 0.19/0.68 inference(simplify,[],['8','9'])).
% 0.19/0.68 cnf('11', plain, (~$pr(r2) | is_a_theorem(implies(X0,or(X1,X0)))),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_r2_$sk'])).
% 0.19/0.68 cnf('12', plain, ($pr(r2)),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_principia_r2'])).
% 0.19/0.68 cnf('13', plain, (is_a_theorem(implies(X,or(Y,X)))),
% 0.19/0.68 inference(simplify,[],['11','12'])).
% 0.19/0.68 cnf('14', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 0.19/0.68 inference(paramodulation,[],['10','13'])).
% 0.19/0.68 cnf('15', plain, (~is_a_theorem(implies($sk49,implies($sk48,$sk49))) | $pr(implies_1)),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 0.19/0.68 cnf('16', plain, ($pr(implies_1)),
% 0.19/0.68 inference(resolution,[],['14','15'])).
% 0.19/0.68 cnf('17', plain, (is_a_theorem(or(X,implies(Y,not(X))))),
% 0.19/0.68 inference(paramodulation,[then_simplify],['6','7','16'])).
% 0.19/0.68 cnf('18', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 0.19/0.68 cnf('19', plain, ($pr(modus_ponens)),
% 0.19/0.68 inference(cnf_transformation,[],['$inc_principia_modus_ponens'])).
% 0.19/0.68 cnf('20', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 0.19/0.68 inference(simplify,[],['18','19'])).
% 0.19/0.68 cnf('21', plain, (~$pr(r3) | is_a_theorem(implies(or(X0,X1),or(X1,X0)))),
% 0.19/0.69 inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 0.19/0.69 cnf('22', plain, ($pr(r3)),
% 0.19/0.69 inference(cnf_transformation,[],['$inc_principia_r3'])).
% 0.19/0.69 cnf('23', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 0.19/0.69 inference(simplify,[],['21','22'])).
% 0.19/0.69 cnf('24', plain, (~is_a_theorem(or(X,Y)) | is_a_theorem(or(Y,X))),
% 0.19/0.69 inference(resolution,[],['20','23'])).
% 0.19/0.69 cnf('25', plain, (is_a_theorem(or(implies(X3,not(Y3)),Y3))),
% 0.19/0.69 inference(resolution,[],['17','24'])).
% 0.19/0.69 cnf('26', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 0.19/0.69 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 0.19/0.69 cnf('27', plain, ($pr(op_and)),
% 0.19/0.69 inference(cnf_transformation,[],['$inc_principia_op_and'])).
% 0.19/0.69 cnf('28', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 0.19/0.69 inference(simplify,[then_simplify],['26','27','10'])).
% 0.19/0.69 cnf('29', plain, (or(implies(X,not(Y)),Z) = implies(and(X,Y),Z)),
% 0.19/0.69 inference(paramodulation,[],['28','6'])).
% 0.19/0.69 cnf('30', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 0.19/0.69 inference(simplify,[],['25','29'])).
% 0.19/0.69 cnf('31', plain, (is_a_theorem(or(X,Y)) | ~is_a_theorem(Y)),
% 0.19/0.69 inference(resolution,[],['20','13'])).
% 0.19/0.69 cnf('32', plain, (~$pr(r1) | is_a_theorem(implies(or(X0,X0),X0))),
% 0.19/0.69 inference(cnf_transformation,[],['$inc_r1_$sk'])).
% 0.19/0.69 cnf('33', plain, ($pr(r1)),
% 0.19/0.69 inference(cnf_transformation,[],['$inc_principia_r1'])).
% 0.19/0.69 cnf('34', plain, (is_a_theorem(implies(or(X,X),X))),
% 0.19/0.69 inference(simplify,[],['32','33'])).
% 0.19/0.69 cnf('35', plain, (~is_a_theorem(or(X,X)) | is_a_theorem(X)),
% 0.19/0.69 inference(resolution,[],['20','34'])).
% 0.19/0.69 cnf('36', plain, (~is_a_theorem(implies(and($sk40,$sk39),$sk39)) | $pr(and_2)),
% 0.19/0.69 inference(cnf_transformation,[],['$inc_and_2_$sk'])).
% 0.19/0.69 cnf('37', plain, (~$pr(and_2)),
% 0.19/0.69 inference(cnf_transformation,[],['hilbert_and_2_$sk'])).
% 0.19/0.69 cnf('38', plain, (~is_a_theorem(implies(and($sk40,$sk39),$sk39))),
% 0.19/0.69 inference(simplify,[],['36','37'])).
% 0.19/0.69 cnf('39', plain, (~is_a_theorem(or(implies(and($sk40,$sk39),$sk39),implies(and($sk40,$sk39),$sk39)))),
% 0.19/0.69 inference(resolution,[],['35','38'])).
% 0.19/0.69 cnf('40', plain, ($false),
% 0.19/0.69 inference(resolution,[then_simplify],['30','31','39'])).
% 0.19/0.69
% 0.19/0.69 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.69
% 0.19/0.69 run 8 fork 7 statistics:
% 0.19/0.69 ----------------------------------
% 0.19/0.69 this run seconds: 0.039945
% 0.19/0.69 total seconds: 0.064736
% 0.19/0.69 stat_given_used: 224
% 0.19/0.69 stat_given_used_at_endgame: 0
% 0.19/0.69 stat_given_candidates: 353
% 0.19/0.69 stat_given_candidates_at_endgame: 0
% 0.19/0.69 stat_given_candidates_h: 0
% 0.19/0.69 stat_binres_derived_cl: 1555
% 0.19/0.69 stat_binres_derived_cl_h: 0
% 0.19/0.69 stat_factor_derived_cl: 0
% 0.19/0.69 stat_para_derived_cl: 216
% 0.19/0.69 stat_tautologies_discarded: 0
% 0.19/0.69 stat_forward_subsumed: 402
% 0.19/0.69 stat_derived_cut: 23
% 0.19/0.69 stat_derived_rewritten: 8
% 0.19/0.69 stat_weight_discarded_building: 0
% 0.19/0.69 stat_weight_discarded_cl: 0
% 0.19/0.69 stat_internlimit_discarded_cl: 0
% 0.19/0.69 stat_simplified: 24 simplified 0 derived 0 given
% 0.19/0.69 stat_kept_cl: 1358
% 0.19/0.69 stat_built_cl: 1830
% 0.19/0.69 stat_hyperres_partial_cl: 0
% 0.19/0.69 stat_made_rewriters: 12
% 0.19/0.69 stat_backward_subsumed: 0
% 0.19/0.69 stat_propagated_subsumed: 0
% 0.19/0.69 stat_clsubs_attempted: 2567
% 0.19/0.69 stat_clsubs_fact_groundunit_found: 0
% 0.19/0.69 stat_clsubs_rule_groundunit_found: 17
% 0.19/0.69 stat_clsubs_top_meta_attempted: 23929
% 0.19/0.69 stat_clsubs_top_meta_failed: 21362
% 0.19/0.69 stat_clsubs_top_meta_nonpref_attempted: 23929
% 0.19/0.69 stat_clsubs_top_meta_nonpref_succeeded: 7937
% 0.19/0.69 stat_clsubs_top_meta_pref_attempted: 7937
% 0.19/0.69 stat_clsubs_top_meta_pref1_succeeded: 5854
% 0.19/0.69 stat_clsubs_top_meta_pref2_succeeded: 3034
% 0.19/0.69 stat_clsubs_top_meta_pref3_succeeded: 2567
% 0.19/0.69 stat_clsubs_top_meta_pref_succeeded: 2567
% 0.19/0.69 stat_clsubs_meta_attempted: 2723
% 0.19/0.69 stat_clsubs_meta_failed: 243
% 0.19/0.69 stat_clsubs_predsymbs_attempted: 0
% 0.19/0.69 stat_clsubs_unit_attempted: 2465
% 0.19/0.69 stat_clsubs_full_attempted: 102
% 0.19/0.69 stat_forwardsubs_attempted: 1761
% 0.19/0.69 stat_lit_hash_added: 1743
% 0.19/0.69 stat_lit_hash_computed: 4898
% 0.19/0.69 stat_lit_hash_match_found: 476
% 0.19/0.69 stat_lit_hash_match_miss: 4350
% 0.19/0.69 stat_lit_hash_cut_ok: 24
% 0.19/0.69 stat_lit_strong_cut_ok: 2
% 0.19/0.69 stat_lit_hash_subsume_ok: 402
% 0.19/0.69 clqueue els 10000000 used 1
% 0.19/0.69 clactive els 10000000 used 225
% 0.19/0.69 clactivesubsume els 10000000 used 1201
% 0.19/0.69 queue_termbuf els 200000000 used 93941
% 0.19/0.69 hyper_termbuf els 100000000 used 1
% 0.19/0.69 active_termbuf els 100000000 used 8320
% 0.19/0.69 varstack els 5000 last used 1
% 0.19/0.69 given_termbuf els 10000000 last used 1
% 0.19/0.69 simplified_termbuf els 10000000 last used 1
% 0.19/0.69 derived_termbuf els 10000000 last used 42
% 0.19/0.69 wr_mallocs: 6098
% 0.19/0.69 wr_callocs: 21
% 0.19/0.69 wr_reallocs: 253
% 0.19/0.69 wr_frees: 2
% 0.19/0.69 wr_malloc_bytes: 4162798020
% 0.19/0.69 wr_calloc_bytes: 112065536
% 0.19/0.69 wr_realloc_bytes: 43264
% 0.19/0.69 wr_realloc_freebytes: 0
% 0.19/0.69 ----------------------------------
%------------------------------------------------------------------------------