%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL520+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.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 12:08:47 PM UTC 2026
% Result : Theorem 5.05s 1.26s
% Output : CNFRefutation 5.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL520+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : gkc %s
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 4 13:25:53 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.21/0.49
% 0.21/0.49 input clause set summed statistics:
% 0.21/0.49 ----------------------------------
% 0.21/0.49 in_clause_count: 72
% 0.21/0.49 in_rule_clause_count: 72
% 0.21/0.49 in_fact_clause_count: 0
% 0.21/0.49 in_answer_clause_count: 0
% 0.21/0.49 in_ground_clause_count: 41
% 0.21/0.49 in_unit_clause_count: 12
% 0.21/0.49 in_horn_clause_count: 69
% 0.21/0.49 in_pos_clause_count: 14
% 0.21/0.49 in_neg_clause_count: 1
% 0.21/0.49 in_poseq_clause_count: 6
% 0.21/0.49 in_negeq_clause_count: 1
% 0.21/0.49 in_unitposeq_clause_count: 0
% 0.21/0.49 in_chain_clause_count: 0
% 0.21/0.49 in_min_length: 1
% 0.21/0.49 in_max_length: 4
% 0.21/0.49 in_min_depth: 1
% 0.21/0.49 in_max_depth: 5
% 0.21/0.49 in_min_size: 2
% 0.21/0.49 in_max_size: 16
% 0.21/0.49 in_min_vars: 0
% 0.21/0.49 in_max_vars: 3
% 0.21/0.49 in_extaxiom_count: 68
% 0.21/0.49 in_axiom_count: 3
% 0.21/0.49 in_assumption_count: 0
% 0.21/0.49 in_goal_count: 1
% 0.21/0.49 in_neg_goal_count: 1
% 0.21/0.49 in_pos_goal_count: 0
% 0.21/0.49 in_posunit_goal_count: 0
% 0.21/0.49
% 0.21/0.49 auto guide:
% 0.21/0.49 -----------
% 0.21/0.49 {
% 0.21/0.49 "print":1,
% 0.21/0.49 "print_level": 15,
% 0.21/0.49 "max_size": 0,
% 0.21/0.49 "max_depth": 0,
% 0.21/0.49 "max_length": 0,
% 0.21/0.49 "max_dseconds": 0,
% 0.21/0.49 "runs":[
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.49 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.49 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.49 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.49 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.21/0.49
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.21/0.49 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
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% 0.21/0.49 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.49 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.49 {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.49 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.21/0.49 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.49 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.49 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.21/0.49 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.49 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.49 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
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% 0.21/0.49 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.21/0.49 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.49 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.49 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.21/0.49 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.21/0.49 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.21/0.49 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.21/0.49 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.21/0.49 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.49 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.49 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.49 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.21/0.49 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.21/0.49 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.21/0.49 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.21/0.49
% 0.21/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.21/0.49 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.21/0.49 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.49 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.49 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
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% 0.21/0.49 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.21/0.49 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.49 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.21/0.49
% 0.21/0.49 ]}
% 0.21/0.49
% 0.21/0.50
% 0.21/0.50 **** run 1 fork 0 starts with strategy
% 0.21/0.50 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.21/0.50
% 0.21/0.50 **** run 2 fork 1 starts with strategy
% 0.21/0.50 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.21/0.50
% 0.21/0.50 **** run 3 fork 2 starts with strategy
% 0.21/0.50 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.51
% 0.21/0.51 **** run 4 fork 3 starts with strategy
% 0.21/0.51 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.51
% 0.21/0.51 **** run 5 fork 4 starts with strategy
% 0.21/0.51 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.51
% 0.21/0.51 **** run 6 fork 5 starts with strategy
% 0.21/0.51 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.52
% 0.21/0.52 **** run 7 fork 6 starts with strategy
% 0.21/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.52
% 0.21/0.52 **** run 8 fork 7 starts with strategy
% 0.21/0.52 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.21/0.53
% 0.21/0.53 fork 3: search finished without proof.
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% 0.85/0.61 fork 5: search terminated without proof.
% 0.85/0.62
% 0.85/0.62 **** run 12 fork 3 starts with strategy
% 0.85/0.62 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.85/0.62
% 0.85/0.62
% 0.85/0.62 fork 7: search terminated without proof.
% 0.85/0.65
% 0.85/0.65
% 0.85/0.65 fork 6: search terminated without proof.
% 0.85/0.65
% 0.85/0.65 **** run 13 fork 4 starts with strategy
% 0.85/0.65 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 1.41/0.68
% 1.41/0.68 **** run 9 fork 0 starts with strategy
% 1.41/0.68 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.41/0.68
% 1.41/0.68 **** run 10 fork 1 starts with strategy
% 1.41/0.68 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 1.41/0.68
% 1.41/0.68 **** run 11 fork 2 starts with strategy
% 1.41/0.68 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.41/0.69
% 1.41/0.69 **** run 14 fork 5 starts with strategy
% 1.41/0.69 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 1.41/0.69
% 1.41/0.69 **** run 16 fork 7 starts with strategy
% 1.41/0.69 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 1.72/0.72
% 1.72/0.72
% 1.72/0.72 fork 3: search terminated without proof.
% 1.72/0.72
% 1.72/0.72 **** run 15 fork 6 starts with strategy
% 1.72/0.72 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 1.72/0.76
% 1.72/0.76
% 1.72/0.76 fork 4: search terminated without proof.
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% 1.72/0.79 fork 2: search terminated without proof.
% 1.72/0.79
% 1.72/0.79 **** run 20 fork 3 starts with strategy
% 1.72/0.79 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 1.72/0.79
% 1.72/0.79
% 1.72/0.79 fork 5: search terminated without proof.
% 1.72/0.79
% 1.72/0.79 **** run 21 fork 4 starts with strategy
% 1.72/0.79 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.47/0.80
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% 2.47/0.80 fork 7: search terminated without proof.
% 2.47/0.83
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% 2.47/0.83 fork 6: search terminated without proof.
% 2.47/0.85
% 2.47/0.85 **** run 17 fork 0 starts with strategy
% 2.47/0.85 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 2.47/0.85
% 2.47/0.85 **** run 19 fork 2 starts with strategy
% 2.47/0.85 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.47/0.86
% 2.47/0.86 **** run 18 fork 1 starts with strategy
% 2.47/0.86 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 2.47/0.86
% 2.47/0.86 **** run 22 fork 5 starts with strategy
% 2.47/0.86 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.47/0.87
% 2.47/0.87 **** run 24 fork 7 starts with strategy
% 2.47/0.87 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.47/0.90
% 2.47/0.90
% 2.47/0.90 fork 4: search terminated without proof.
% 3.28/0.90
% 3.28/0.90 **** run 23 fork 6 starts with strategy
% 3.28/0.90 {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 3.28/0.93
% 3.28/0.93 fork 6: search finished without proof.
% 3.28/0.94
% 3.28/0.94 **** run 29 fork 4 starts with strategy
% 3.28/0.94 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 3.28/0.96
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% 3.28/0.96 fork 1: search terminated without proof.
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% 3.28/0.97 fork 3: search terminated without proof.
% 3.28/0.98
% 3.28/0.98
% 3.28/0.98 fork 7: search terminated without proof.
% 3.28/1.01
% 3.28/1.01 **** run 31 fork 6 starts with strategy
% 3.28/1.01 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 3.28/1.02
% 3.28/1.02 **** run 28 fork 3 starts with strategy
% 3.28/1.02 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 4.15/1.03
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% 4.15/1.03 fork 0: search terminated without proof.
% 4.15/1.03
% 4.15/1.03 fork 2: search finished without proof.
% 4.15/1.03
% 4.15/1.03 **** run 26 fork 1 starts with strategy
% 4.15/1.03 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 4.15/1.04
% 4.15/1.04 fork 6: search finished without proof.
% 4.15/1.05
% 4.15/1.05 **** run 32 fork 7 starts with strategy
% 4.15/1.05 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 4.15/1.08
% 4.15/1.08 **** run 27 fork 2 starts with strategy
% 4.15/1.08 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 4.15/1.08
% 4.15/1.08 **** run 25 fork 0 starts with strategy
% 4.15/1.08 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 4.15/1.12
% 4.15/1.12 **** run 39 fork 6 starts with strategy
% 4.15/1.12 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 4.70/1.14
% 4.70/1.14
% 4.70/1.14 fork 1: search terminated without proof.
% 4.70/1.19
% 4.70/1.19
% 4.70/1.19 fork 2: search terminated without proof.
% 5.05/1.20
% 5.05/1.20
% 5.05/1.20 fork 0: search terminated without proof.
% 5.05/1.21
% 5.05/1.21 **** run 34 fork 1 starts with strategy
% 5.05/1.21 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 5.05/1.22
% 5.05/1.22
% 5.05/1.22 fork 7: search terminated without proof.
% 5.05/1.23
% 5.05/1.23
% 5.05/1.23 fork 6: search terminated without proof.
% 5.05/1.25
% 5.05/1.25 **** run 35 fork 2 starts with strategy
% 5.05/1.25 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
% 5.05/1.25
% 5.05/1.25 **** run 33 fork 0 starts with strategy
% 5.05/1.25 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 5.05/1.26
% 5.05/1.26
% 5.05/1.26 result: proof found
% 5.05/1.26 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.05/1.26 by run 28 fork 3 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 5.05/1.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.05/1.26
% 5.05/1.26 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.05/1.26 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 5.05/1.26 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_rosser_op_or', axiom, op_or,
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 5.05/1.26 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_rosser_op_implies_and', axiom, op_implies_and,
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_kn3_$sk', plain, ((~kn3 | is_a_theorem(implies(implies(X3,X2),implies(not(and(X2,X1)),not(and(X1,X3)))))) & (kn3 | ~is_a_theorem(implies(implies($sk20,$sk19),implies(not(and($sk19,$sk18)),not(and($sk18,$sk20))))))),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_kn3'])).
% 5.05/1.26 fof('$inc_kn3', axiom, (kn3 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))))),
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_rosser_kn3', axiom, kn3,
% 5.05/1.26 input).
% 5.05/1.26 fof('$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($sk54))))),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 5.05/1.26 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_rosser_modus_ponens', axiom, modus_ponens,
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_kn1_$sk', plain, ((~kn1 | is_a_theorem(implies(X1,and(X1,X1)))) & (kn1 | ~is_a_theorem(implies($sk23,and($sk23,$sk23))))),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_kn1'])).
% 5.05/1.26 fof('$inc_kn1', axiom, (kn1 <=> (! [P] : is_a_theorem(implies(P,and(P,P))))),
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_rosser_kn1', axiom, kn1,
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_kn2_$sk', plain, ((~kn2 | is_a_theorem(implies(and(X2,X1),X2))) & (kn2 | ~is_a_theorem(implies(and($sk22,$sk21),$sk22)))),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_kn2'])).
% 5.05/1.26 fof('$inc_kn2', axiom, (kn2 <=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)))),
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_rosser_kn2', axiom, kn2,
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_op_implies_or_$sk', plain, ((implies(X2,X1) = or(not(X2),X1)) | ~op_implies_or),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_op_implies_or'])).
% 5.05/1.26 fof('$inc_op_implies_or', axiom, (op_implies_or => (! [X,Y] : (implies(X,Y) = or(not(X),Y)))),
% 5.05/1.26 input).
% 5.05/1.26 fof('principia_op_implies_or', axiom, op_implies_or,
% 5.05/1.26 input).
% 5.05/1.26 fof('$inc_op_and_$sk', plain, ((and(X2,X1) = not(or(not(X2),not(X1)))) | ~op_and),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_op_and'])).
% 5.05/1.26 fof('$inc_op_and', axiom, (op_and => (! [X,Y] : (and(X,Y) = not(or(not(X),not(Y)))))),
% 5.05/1.26 input).
% 5.05/1.26 fof('principia_op_and', axiom, op_and,
% 5.05/1.26 input).
% 5.05/1.26 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))))),
% 5.05/1.26 inference(negpush_and_skolemize,[],['$inc_r3'])).
% 5.05/1.26 fof('$inc_r3', axiom, (r3 <=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))))),
% 5.05/1.26 input).
% 5.05/1.26 fof('principia_r3_$sk', plain, ~r3,
% 5.05/1.26 inference(negpush_and_skolemize,[],['principia_r3'])).
% 5.05/1.26 fof('principia_r3', conjecture, r3,
% 5.05/1.26 input).
% 5.05/1.26 cnf('1', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 5.05/1.26 cnf('2', plain, ($pr(op_or)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_rosser_op_or'])).
% 5.05/1.26 cnf('3', plain, (or(X,Y) = not(and(not(X),not(Y)))),
% 5.05/1.26 inference(simplify,[],['1','2'])).
% 5.05/1.26 cnf('4', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 5.05/1.26 cnf('5', plain, ($pr(op_implies_and)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_rosser_op_implies_and'])).
% 5.05/1.26 cnf('6', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 5.05/1.26 inference(simplify,[],['4','5'])).
% 5.05/1.26 cnf('7', plain, (or(and(X3,not(Y3)),Z3) = not(and(implies(X3,Y3),not(Z3)))),
% 5.05/1.26 inference(paramodulation,[],['6','3'])).
% 5.05/1.26 cnf('8', plain, (or(and(X,not(Y)),Z) = implies(implies(X,Y),Z)),
% 5.05/1.26 inference(simplify,[],['7','6'])).
% 5.05/1.26 cnf('9', plain, (~$pr(kn3) | is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_kn3_$sk'])).
% 5.05/1.26 cnf('10', plain, ($pr(kn3)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_rosser_kn3'])).
% 5.05/1.26 cnf('11', plain, (or(X,Y) = implies(not(X),Y)),
% 5.05/1.26 inference(paramodulation,[],['6','3'])).
% 5.05/1.26 cnf('12', plain, (is_a_theorem(implies(implies(X,Y),or(and(Y,Z),not(and(Z,X)))))),
% 5.05/1.26 inference(simplify,[then_simplify],['9','10','11'])).
% 5.05/1.26 cnf('13', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 5.05/1.26 cnf('14', plain, ($pr(modus_ponens)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_rosser_modus_ponens'])).
% 5.05/1.26 cnf('15', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 5.05/1.26 inference(simplify,[],['13','14'])).
% 5.05/1.26 cnf('16', plain, (~$pr(kn1) | is_a_theorem(implies(X0,and(X0,X0)))),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_kn1_$sk'])).
% 5.05/1.26 cnf('17', plain, ($pr(kn1)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_rosser_kn1'])).
% 5.05/1.26 cnf('18', plain, (is_a_theorem(implies(X,and(X,X)))),
% 5.05/1.26 inference(simplify,[],['16','17'])).
% 5.05/1.26 cnf('19', plain, (~is_a_theorem(implies(implies(X,and(X,X)),Y)) | is_a_theorem(Y)),
% 5.05/1.26 inference(resolution,[],['15','18'])).
% 5.05/1.26 cnf('20', plain, (is_a_theorem(or(and(and(X,X),Y),not(and(Y,X))))),
% 5.05/1.26 inference(resolution,[],['12','19'])).
% 5.05/1.26 cnf('21', plain, (is_a_theorem(implies(implies(and(X,X),Y),not(and(not(Y),X))))),
% 5.05/1.26 inference(paramodulation,[],['8','20'])).
% 5.05/1.26 cnf('22', plain, (~$pr(kn2) | is_a_theorem(implies(and(X0,X1),X0))),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_kn2_$sk'])).
% 5.05/1.26 cnf('23', plain, ($pr(kn2)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_rosser_kn2'])).
% 5.05/1.26 cnf('24', plain, (is_a_theorem(implies(and(X,Y),X))),
% 5.05/1.26 inference(simplify,[],['22','23'])).
% 5.05/1.26 cnf('25', plain, (~is_a_theorem(implies(implies(and(X,Y),X),Z)) | is_a_theorem(Z)),
% 5.05/1.26 inference(resolution,[],['15','24'])).
% 5.05/1.26 cnf('26', plain, (is_a_theorem(not(and(not(X),X)))),
% 5.05/1.26 inference(resolution,[],['21','25'])).
% 5.05/1.26 cnf('27', plain, (is_a_theorem(or(not(X3),X3))),
% 5.05/1.26 inference(paramodulation,[],['3','26'])).
% 5.05/1.26 cnf('28', plain, (~$pr(op_implies_or) | implies(X0,X1) = or(not(X0),X1)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_op_implies_or_$sk'])).
% 5.05/1.26 cnf('29', plain, ($pr(op_implies_or)),
% 5.05/1.26 inference(cnf_transformation,[],['principia_op_implies_or'])).
% 5.05/1.26 cnf('30', plain, (implies(X,Y) = or(not(X),Y)),
% 5.05/1.26 inference(simplify,[],['28','29'])).
% 5.05/1.26 cnf('31', plain, (is_a_theorem(implies(X,X))),
% 5.05/1.26 inference(simplify,[],['27','30'])).
% 5.05/1.26 cnf('32', plain, (~is_a_theorem(implies(implies(X,X),Y)) | is_a_theorem(Y)),
% 5.05/1.26 inference(resolution,[],['31','15'])).
% 5.05/1.26 cnf('33', plain, (is_a_theorem(or(and(X,Y),not(and(Y,X))))),
% 5.05/1.26 inference(resolution,[],['32','12'])).
% 5.05/1.26 cnf('34', plain, (is_a_theorem(or(and(not(X3),not(Y3)),or(Y3,X3)))),
% 5.05/1.26 inference(paramodulation,[],['3','33'])).
% 5.05/1.26 cnf('35', plain, (is_a_theorem(implies(or(X,Y),or(Y,X)))),
% 5.05/1.26 inference(simplify,[then_simplify],['34','8','11'])).
% 5.05/1.26 cnf('36', plain, (is_a_theorem(or(and(X,Y),not(and(Y,and(X,Z)))))),
% 5.05/1.26 inference(resolution,[],['12','25'])).
% 5.05/1.26 cnf('37', plain, (is_a_theorem(implies(implies(X3,Y3),not(and(not(Y3),and(X3,Z3)))))),
% 5.05/1.26 inference(paramodulation,[],['8','36'])).
% 5.05/1.26 cnf('38', plain, (~$pr(op_and) | and(X0,X1) = not(or(not(X0),not(X1)))),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_op_and_$sk'])).
% 5.05/1.26 cnf('39', plain, ($pr(op_and)),
% 5.05/1.26 inference(cnf_transformation,[],['principia_op_and'])).
% 5.05/1.26 cnf('40', plain, (and(X,Y) = not(implies(X,not(Y)))),
% 5.05/1.26 inference(simplify,[then_simplify],['38','39','30'])).
% 5.05/1.26 cnf('41', plain, (or(X,implies(Y,not(Z))) = not(and(not(X),and(Y,Z)))),
% 5.05/1.26 inference(paramodulation,[],['40','3'])).
% 5.05/1.26 cnf('42', plain, (is_a_theorem(implies(implies(X,Y),or(Y,implies(X,not(Z)))))),
% 5.05/1.26 inference(simplify,[],['37','41'])).
% 5.05/1.26 cnf('43', plain, (is_a_theorem(or(X,implies(Y,not(Z)))) | ~is_a_theorem(implies(Y,X))),
% 5.05/1.26 inference(resolution,[],['42','15'])).
% 5.05/1.26 cnf('44', plain, (is_a_theorem(or(X,implies(X,not(Y))))),
% 5.05/1.26 inference(resolution,[],['31','43'])).
% 5.05/1.26 cnf('45', plain, (is_a_theorem(implies(X3,implies(not(X3),not(Y3))))),
% 5.05/1.26 inference(paramodulation,[],['30','44'])).
% 5.05/1.26 cnf('46', plain, (is_a_theorem(implies(X,or(X,not(Y))))),
% 5.05/1.26 inference(simplify,[],['45','11'])).
% 5.05/1.26 cnf('47', plain, (is_a_theorem(or(X,not(Y))) | ~is_a_theorem(X)),
% 5.05/1.26 inference(resolution,[],['46','15'])).
% 5.05/1.26 cnf('48', plain, (is_a_theorem(or(X,implies(Y,Z))) | ~is_a_theorem(X)),
% 5.05/1.26 inference(paramodulation,[],['6','47'])).
% 5.05/1.26 cnf('49', plain, (is_a_theorem(not(and(not(and(X,X)),X)))),
% 5.05/1.26 inference(resolution,[],['32','21'])).
% 5.05/1.26 cnf('50', plain, (is_a_theorem(not(and(or(X3,X3),not(X3))))),
% 5.05/1.26 inference(paramodulation,[],['3','49'])).
% 5.05/1.26 cnf('51', plain, (is_a_theorem(implies(or(X,X),X))),
% 5.05/1.26 inference(simplify,[],['50','6'])).
% 5.05/1.26 cnf('52', plain, (~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8))) | $pr(r3)),
% 5.05/1.26 inference(cnf_transformation,[],['$inc_r3_$sk'])).
% 5.05/1.26 cnf('53', plain, (~$pr(r3)),
% 5.05/1.26 inference(cnf_transformation,[],['principia_r3_$sk'])).
% 5.05/1.26 cnf('54', plain, (~is_a_theorem(implies(or($sk8,$sk7),or($sk7,$sk8)))),
% 5.05/1.26 inference(simplify,[],['52','53'])).
% 5.05/1.26 cnf('55', plain, (~is_a_theorem(implies(X,implies(or($sk8,$sk7),or($sk7,$sk8)))) | ~is_a_theorem(X)),
% 5.05/1.26 inference(resolution,[],['54','15'])).
% 5.05/1.26 cnf('56', plain, (~is_a_theorem(or(implies(or($sk8,$sk7),or($sk7,$sk8)),implies(or($sk8,$sk7),or($sk7,$sk8))))),
% 5.05/1.26 inference(resolution,[],['51','55'])).
% 5.05/1.26 cnf('57', plain, ($false),
% 5.05/1.26 inference(resolution,[then_simplify],['35','48','56'])).
% 5.05/1.26
% 5.05/1.26 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.05/1.26
% 5.05/1.26 run 28 fork 3 statistics:
% 5.05/1.26 ----------------------------------
% 5.05/1.26 this run seconds: 0.046818
% 5.05/1.26 total seconds: 0.571259
% 5.05/1.26 stat_given_used: 321
% 5.05/1.26 stat_given_used_at_endgame: 0
% 5.05/1.26 stat_given_candidates: 480
% 5.05/1.26 stat_given_candidates_at_endgame: 0
% 5.05/1.26 stat_given_candidates_h: 0
% 5.05/1.26 stat_binres_derived_cl: 2763
% 5.05/1.26 stat_binres_derived_cl_h: 0
% 5.05/1.26 stat_factor_derived_cl: 0
% 5.05/1.26 stat_para_derived_cl: 536
% 5.05/1.26 stat_tautologies_discarded: 1
% 5.05/1.26 stat_forward_subsumed: 417
% 5.05/1.26 stat_derived_cut: 21
% 5.05/1.26 stat_derived_rewritten: 63
% 5.05/1.26 stat_weight_discarded_building: 0
% 5.05/1.26 stat_weight_discarded_cl: 0
% 5.05/1.26 stat_internlimit_discarded_cl: 0
% 5.05/1.26 stat_simplified: 79 simplified 0 derived 0 given
% 5.05/1.26 stat_kept_cl: 2867
% 5.05/1.26 stat_built_cl: 3588
% 5.05/1.26 stat_hyperres_partial_cl: 0
% 5.05/1.26 stat_made_rewriters: 20
% 5.05/1.26 stat_backward_subsumed: 0
% 5.05/1.26 stat_propagated_subsumed: 0
% 5.05/1.26 stat_clsubs_attempted: 1283
% 5.05/1.26 stat_clsubs_fact_groundunit_found: 1
% 5.05/1.26 stat_clsubs_rule_groundunit_found: 14
% 5.05/1.26 stat_clsubs_top_meta_attempted: 54111
% 5.05/1.26 stat_clsubs_top_meta_failed: 52828
% 5.05/1.26 stat_clsubs_top_meta_nonpref_attempted: 54111
% 5.05/1.26 stat_clsubs_top_meta_nonpref_succeeded: 11256
% 5.05/1.26 stat_clsubs_top_meta_pref_attempted: 11256
% 5.05/1.26 stat_clsubs_top_meta_pref1_succeeded: 6243
% 5.05/1.26 stat_clsubs_top_meta_pref2_succeeded: 2117
% 5.05/1.26 stat_clsubs_top_meta_pref3_succeeded: 1283
% 5.05/1.26 stat_clsubs_top_meta_pref_succeeded: 1283
% 5.05/1.26 stat_clsubs_meta_attempted: 1495
% 5.05/1.26 stat_clsubs_meta_failed: 271
% 5.05/1.26 stat_clsubs_predsymbs_attempted: 0
% 5.05/1.26 stat_clsubs_unit_attempted: 1077
% 5.05/1.26 stat_clsubs_full_attempted: 206
% 5.05/1.26 stat_forwardsubs_attempted: 3285
% 5.05/1.26 stat_lit_hash_added: 3356
% 5.05/1.26 stat_lit_hash_computed: 8602
% 5.05/1.26 stat_lit_hash_match_found: 507
% 5.05/1.26 stat_lit_hash_match_miss: 8169
% 5.05/1.26 stat_lit_hash_cut_ok: 27
% 5.05/1.26 stat_lit_strong_cut_ok: 1
% 5.05/1.26 stat_lit_hash_subsume_ok: 417
% 5.05/1.26 clqueue els 10000000 used 1
% 5.05/1.26 clactive els 10000000 used 322
% 5.05/1.26 clactivesubsume els 10000000 used 1807
% 5.05/1.26 queue_termbuf els 200000000 used 216906
% 5.05/1.26 hyper_termbuf els 100000000 used 1
% 5.05/1.26 active_termbuf els 100000000 used 13047
% 5.05/1.26 varstack els 5000 last used 1
% 5.05/1.26 given_termbuf els 10000000 last used 1
% 5.05/1.26 simplified_termbuf els 10000000 last used 1
% 5.05/1.26 derived_termbuf els 10000000 last used 56
% 5.05/1.26 wr_mallocs: 13397
% 5.05/1.26 wr_callocs: 21
% 5.05/1.26 wr_reallocs: 551
% 5.05/1.26 wr_frees: 2
% 5.05/1.26 wr_malloc_bytes: 4163055156
% 5.05/1.26 wr_calloc_bytes: 112065536
% 5.05/1.26 wr_realloc_bytes: 88848
% 5.05/1.26 wr_realloc_freebytes: 0
% 5.05/1.26 ----------------------------------
%------------------------------------------------------------------------------