TSTP Solution File: SEU027+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n009.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 16:57:28 EDT 2023
% Result : Theorem 4.36s 0.95s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU027+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : gkc %s
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu Aug 24 01:29:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.39
% 0.20/0.39 input clause set summed statistics:
% 0.20/0.39 ----------------------------------
% 0.20/0.39 in_clause_count: 87
% 0.20/0.39 in_rule_clause_count: 62
% 0.20/0.39 in_fact_clause_count: 25
% 0.20/0.39 in_answer_clause_count: 0
% 0.20/0.39 in_ground_clause_count: 30
% 0.20/0.39 in_unit_clause_count: 35
% 0.20/0.39 in_horn_clause_count: 71
% 0.20/0.39 in_pos_clause_count: 32
% 0.20/0.39 in_neg_clause_count: 7
% 0.20/0.39 in_poseq_clause_count: 27
% 0.20/0.39 in_negeq_clause_count: 25
% 0.20/0.39 in_unitposeq_clause_count: 2
% 0.20/0.39 in_chain_clause_count: 2
% 0.20/0.39 in_min_length: 1
% 0.20/0.39 in_max_length: 11
% 0.20/0.39 in_min_depth: 1
% 0.20/0.39 in_max_depth: 3
% 0.20/0.39 in_min_size: 2
% 0.20/0.39 in_max_size: 49
% 0.20/0.39 in_min_vars: 0
% 0.20/0.39 in_max_vars: 4
% 0.20/0.39 in_extaxiom_count: 0
% 0.20/0.39 in_axiom_count: 77
% 0.20/0.39 in_assumption_count: 0
% 0.20/0.39 in_goal_count: 10
% 0.20/0.39 in_neg_goal_count: 1
% 0.20/0.39 in_pos_goal_count: 7
% 0.20/0.39 in_posunit_goal_count: 7
% 0.20/0.39
% 0.20/0.39 auto guide:
% 0.20/0.39 -----------
% 0.20/0.39 {
% 0.20/0.39 "print":1,
% 0.20/0.39 "print_level": 15,
% 0.20/0.39 "max_size": 0,
% 0.20/0.39 "max_depth": 0,
% 0.20/0.39 "max_length": 0,
% 0.20/0.39 "max_dseconds": 0,
% 0.20/0.39 "runs":[
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.39 {"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},
% 0.20/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.39 {"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},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"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},
% 0.20/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.20/0.39
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.20/0.39 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.20/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
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% 0.20/0.39 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
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% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.39 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.39 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.39 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
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% 0.20/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
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% 0.20/0.39 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
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% 0.20/0.39 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
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% 0.20/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
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% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
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% 0.20/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
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% 0.20/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
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% 0.20/0.39 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
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% 0.20/0.39 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
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% 0.20/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.20/0.39
% 0.20/0.39 ]}
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 **** run 1 fork 0 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.20/0.39
% 0.20/0.39 **** run 2 fork 1 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.20/0.39
% 0.20/0.39 **** run 3 fork 2 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.39
% 0.20/0.39 **** run 4 fork 3 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.20/0.39
% 0.20/0.39 **** run 5 fork 4 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.39
% 0.20/0.39 **** run 6 fork 5 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.39
% 0.20/0.39 **** run 7 fork 6 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.39
% 0.20/0.39 **** run 8 fork 7 starts with strategy
% 0.20/0.39 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.44
% 0.20/0.44 fork 3: search finished without proof.
% 0.20/0.47
% 0.20/0.47 **** run 12 fork 3 starts with strategy
% 0.20/0.47 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
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% 0.20/0.54 fork 1: search terminated without proof.
% 0.20/0.55
% 0.20/0.55 **** run 9 fork 0 starts with strategy
% 0.20/0.55 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.55
% 0.20/0.55 **** run 11 fork 2 starts with strategy
% 0.20/0.55 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.55
% 0.20/0.55 **** run 13 fork 4 starts with strategy
% 0.20/0.55 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.55
% 0.20/0.55 **** run 14 fork 5 starts with strategy
% 0.20/0.55 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.20/0.55
% 0.20/0.55 **** run 15 fork 6 starts with strategy
% 0.20/0.56 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.56
% 0.20/0.56 **** run 16 fork 7 starts with strategy
% 0.20/0.56 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.20/0.58
% 0.20/0.58 **** run 10 fork 1 starts with strategy
% 0.20/0.58 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
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% 0.20/0.60 fork 3: search terminated without proof.
% 0.20/0.62
% 0.20/0.62 **** run 20 fork 3 starts with strategy
% 0.20/0.62 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 1.63/0.67
% 1.63/0.67 fork 4: search finished without proof.
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% 2.40/0.69
% 2.40/0.69 **** run 17 fork 0 starts with strategy
% 2.40/0.69 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 2.40/0.69
% 2.40/0.69 **** run 21 fork 4 starts with strategy
% 2.40/0.69 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 2.40/0.70
% 2.40/0.70 **** run 23 fork 6 starts with strategy
% 2.40/0.70
% 2.40/0.70 **** run 24 fork 7 starts with strategy
% 2.40/0.70 {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 2.40/0.70 {"sine":1,"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
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% 2.40/0.71
% 2.40/0.71 **** run 19 fork 2 starts with strategy
% 2.40/0.71 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 2.40/0.73
% 2.40/0.73 **** run 22 fork 5 starts with strategy
% 2.40/0.73 {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 2.40/0.73
% 2.40/0.73 **** run 18 fork 1 starts with strategy
% 2.40/0.73 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
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% 2.93/0.75 fork 3: search terminated without proof.
% 3.08/0.77
% 3.08/0.77 **** run 28 fork 3 starts with strategy
% 3.08/0.77 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 3.08/0.81
% 3.08/0.81
% 3.08/0.81 fork 4: search terminated without proof.
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% 3.47/0.83 fork 0: search terminated without proof.
% 3.47/0.83
% 3.47/0.83 **** run 29 fork 4 starts with strategy
% 3.47/0.83 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 3.47/0.84
% 3.47/0.84 **** run 27 fork 2 starts with strategy
% 3.47/0.84 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 3.72/0.85
% 3.72/0.85
% 3.72/0.85 fork 5: search terminated without proof.
% 3.72/0.85
% 3.72/0.85 **** run 32 fork 7 starts with strategy
% 3.72/0.85 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 3.72/0.85
% 3.72/0.85 **** run 25 fork 0 starts with strategy
% 3.72/0.85 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 3.72/0.85
% 3.72/0.85 **** run 31 fork 6 starts with strategy
% 3.72/0.85 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 3.72/0.86
% 3.72/0.86
% 3.72/0.86 fork 1: search terminated without proof.
% 3.72/0.87
% 3.72/0.87 **** run 30 fork 5 starts with strategy
% 3.72/0.87 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 3.72/0.88
% 3.72/0.88 **** run 26 fork 1 starts with strategy
% 3.72/0.88 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 3.72/0.89
% 3.72/0.89
% 3.72/0.89 fork 3: search terminated without proof.
% 3.72/0.92
% 3.72/0.92 **** run 36 fork 3 starts with strategy
% 3.72/0.92 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 4.36/0.95
% 4.36/0.95
% 4.36/0.95 result: proof found
% 4.36/0.95 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/0.95 by run 31 fork 6 strategy {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":1}
% 4.36/0.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/0.95
% 4.36/0.95 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/0.95 fof('t60_funct_1_$sk', plain, (((~($sk3 = function_inverse($sk2)) & ((((~(apply($sk2,X2) = X1) | (apply($sk3,X1) = X2)) & ((apply($sk2,X2) = X1) | ~(apply($sk3,X1) = X2))) | (~in(X1,relation_dom($sk3)) | ~in(X2,relation_dom($sk2)))) & ((relation_rng($sk2) = relation_dom($sk3)) & ((relation_dom($sk2) = relation_rng($sk3)) & one_to_one($sk2))))) & (function($sk3) & relation($sk3))) & (function($sk2) & relation($sk2))),
% 4.36/0.95 inference(negpush_and_skolemize,[],['t60_funct_1'])).
% 4.36/0.95 fof('t60_funct_1', conjecture, (! [A] : ((relation(A) & function(A)) => (! [B] : ((relation(B) & function(B)) => ((((one_to_one(A) & (relation_dom(A) = relation_rng(B))) & (relation_rng(A) = relation_dom(B))) & (! [C,D] : ((in(C,relation_dom(A)) & in(D,relation_dom(B))) => ((apply(A,C) = D) <=> (apply(B,D) = C))))) => (B = function_inverse(A))))))),
% 4.36/0.95 input).
% 4.36/0.95 fof('t54_funct_1_$sk', plain, (((((~(X2 = function_inverse(X1)) | (((((X4 = apply(X2,X3)) & in(X3,relation_rng(X1))) | (~(X3 = apply(X1,X4)) | ~in(X4,relation_dom(X1)))) & (((X6 = apply(X1,X5)) & in(X5,relation_dom(X1))) | (~(X5 = apply(X2,X6)) | ~in(X6,relation_rng(X1))))) & (relation_dom(X2) = relation_rng(X1)))) & ((X2 = function_inverse(X1)) | ((((~($sk5(X1,X2) = apply(X2,$sk4(X1,X2))) | ~in($sk4(X1,X2),relation_rng(X1))) & (($sk4(X1,X2) = apply(X1,$sk5(X1,X2))) & in($sk5(X1,X2),relation_dom(X1)))) | ((~($sk7(X1,X2) = apply(X1,$sk6(X1,X2))) | ~in($sk6(X1,X2),relation_dom(X1))) & (($sk6(X1,X2) = apply(X2,$sk7(X1,X2))) & in($sk7(X1,X2),relation_rng(X1))))) | ~(relation_dom(X2) = relation_rng(X1))))) | (~function(X2) | ~relation(X2))) | ~one_to_one(X1)) | (~function(X1) | ~relation(X1))),
% 4.36/0.95 inference(negpush_and_skolemize,[],['t54_funct_1'])).
% 4.36/0.95 fof('t54_funct_1', axiom, (! [A] : ((relation(A) & function(A)) => (one_to_one(A) => (! [B] : ((relation(B) & function(B)) => ((B = function_inverse(A)) <=> ((relation_dom(B) = relation_rng(A)) & (! [C,D] : (((in(C,relation_rng(A)) & (D = apply(B,C))) => (in(D,relation_dom(A)) & (C = apply(A,D)))) & ((in(D,relation_dom(A)) & (C = apply(A,D))) => (in(C,relation_rng(A)) & (D = apply(B,C))))))))))))),
% 4.36/0.95 input).
% 4.36/0.95 fof('d5_funct_1_$sk', plain, (((~(X2 = relation_rng(X1)) | ((~in(X3,X2) | ((X3 = apply(X1,$sk19(X1,X2,X3))) & in($sk19(X1,X2,X3),relation_dom(X1)))) & (in(X4,X2) | (~(X4 = apply(X1,X5)) | ~in(X5,relation_dom(X1)))))) & ((X6 = relation_rng(X1)) | ((in($sk20(X1,X6),X6) & (~($sk20(X1,X6) = apply(X1,X7)) | ~in(X7,relation_dom(X1)))) | (~in($sk21(X1,X6),X6) & (($sk21(X1,X6) = apply(X1,$sk22(X1,X6))) & in($sk22(X1,X6),relation_dom(X1))))))) | (~function(X1) | ~relation(X1))),
% 4.36/0.95 inference(negpush_and_skolemize,[],['d5_funct_1'])).
% 4.36/0.95 fof('d5_funct_1', axiom, (! [A] : ((relation(A) & function(A)) => (! [B] : ((B = relation_rng(A)) <=> (! [C] : (in(C,B) <=> (? [D] : (in(D,relation_dom(A)) & (C = apply(A,D)))))))))),
% 4.36/0.95 input).
% 4.36/0.95 fof('t1_subset_$sk', plain, (element(X2,X1) | ~in(X2,X1)),
% 4.36/0.95 inference(negpush_and_skolemize,[],['t1_subset'])).
% 4.36/0.95 fof('t1_subset', axiom, (! [A,B] : (in(A,B) => element(A,B))),
% 4.36/0.95 input).
% 4.36/0.95 fof('t2_subset_$sk', plain, ((in(X2,X1) | empty(X1)) | ~element(X2,X1)),
% 4.36/0.95 inference(negpush_and_skolemize,[],['t2_subset'])).
% 4.36/0.95 fof('t2_subset', axiom, (! [A,B] : (element(A,B) => (empty(B) | in(A,B)))),
% 4.36/0.95 input).
% 4.36/0.95 fof('t7_boole_$sk', plain, (~empty(X2) | ~in(X1,X2)),
% 4.36/0.95 inference(negpush_and_skolemize,[],['t7_boole'])).
% 4.36/0.95 fof('t7_boole', axiom, (! [A,B] : ~(in(A,B) & empty(B))),
% 4.36/0.95 input).
% 4.36/0.95 fof('dt_k2_funct_1_$sk', plain, ((function(function_inverse(X1)) & relation(function_inverse(X1))) | (~function(X1) | ~relation(X1))),
% 4.36/0.95 inference(negpush_and_skolemize,[],['dt_k2_funct_1'])).
% 4.36/0.95 fof('dt_k2_funct_1', axiom, (! [A] : ((relation(A) & function(A)) => (relation(function_inverse(A)) & function(function_inverse(A))))),
% 4.36/0.95 input).
% 4.36/0.95 cnf('1', plain, (relation_rng($sk2) = relation_dom($sk3)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('2', plain, ($sk6(X,Y) = apply(Y,$sk7(X,Y)) | $sk4(X,Y) = apply(X,$sk5(X,Y)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('3', plain, (relation($sk3)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('4', plain, (function($sk3)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('5', plain, ($sk6(X,$sk3) = apply($sk3,$sk7(X,$sk3)) | $sk4(X,$sk3) = apply(X,$sk5(X,$sk3)) | relation_rng($sk2) != relation_rng(X) | $sk3 = function_inverse(X) | ~one_to_one(X) | ~relation(X) | ~function(X)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['1','2','3','4'])).
% 4.36/0.95 cnf('6', plain, ($sk3 != function_inverse($sk2)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('7', plain, (one_to_one($sk2)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('8', plain, (relation($sk2)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('9', plain, (function($sk2)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('10', plain, ($sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | $sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3))),
% 4.36/0.95 inference(reflexivity,[then_simplify],['5','6','7','8','9'])).
% 4.36/0.95 cnf('11', plain, ($sk4(X,Y) = apply(X,$sk5(X,Y)) | in($sk7(X,Y),relation_rng(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('12', plain, ($sk4(X,$sk3) = apply(X,$sk5(X,$sk3)) | in($sk7(X,$sk3),relation_rng(X)) | relation_rng($sk2) != relation_rng(X) | $sk3 = function_inverse(X) | ~one_to_one(X) | ~relation(X) | ~function(X)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['1','11','3','4'])).
% 4.36/0.95 cnf('13', plain, ($sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3)) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(reflexivity,[then_simplify],['12','6','7','8','9'])).
% 4.36/0.95 cnf('14', plain, (in($sk5(X,Y),relation_dom(X)) | in($sk7(X,Y),relation_rng(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('15', plain, (in($sk5(X,$sk3),relation_dom(X)) | in($sk7(X,$sk3),relation_rng(X)) | relation_rng($sk2) != relation_rng(X) | $sk3 = function_inverse(X) | ~one_to_one(X) | ~relation(X) | ~function(X)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['1','14','3','4'])).
% 4.36/0.95 cnf('16', plain, (in($sk7($sk2,$sk3),relation_rng($sk2)) | in($sk5($sk2,$sk3),relation_dom($sk2))),
% 4.36/0.95 inference(reflexivity,[then_simplify],['15','6','7','8','9'])).
% 4.36/0.95 cnf('17', plain, (relation_dom($sk2) = relation_rng($sk3)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('18', plain, (in($sk7($sk2,$sk3),relation_rng($sk2)) | in($sk5($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(simplify,[],['16','17'])).
% 4.36/0.95 cnf('19', plain, (X != apply(Y,Z) | ~in(Z,relation_dom(Y)) | U != relation_rng(Y) | in(X,U) | ~relation(Y) | ~function(Y)),
% 4.36/0.95 inference(cnf_transformation,[],['d5_funct_1_$sk'])).
% 4.36/0.95 cnf('20', plain, (X != apply($sk2,Y) | ~in(Y,relation_rng($sk3)) | Z != relation_rng($sk2) | in(X,Z)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['17','19','8','9'])).
% 4.36/0.95 cnf('21', plain, (in(apply($sk2,X),Y) | ~in(X,relation_rng($sk3)) | Y != relation_rng($sk2)),
% 4.36/0.95 inference(reflexivity,[],['20'])).
% 4.36/0.95 cnf('22', plain, (in(apply($sk2,X),relation_rng($sk2)) | ~in(X,relation_rng($sk3))),
% 4.36/0.95 inference(reflexivity,[],['21'])).
% 4.36/0.95 cnf('23', plain, (in(apply($sk2,$sk5($sk2,$sk3)),relation_rng($sk2)) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['18','22'])).
% 4.36/0.95 cnf('24', plain, (apply($sk2,X0) != X1 | apply($sk3,X1) = X0 | ~in(X1,relation_dom($sk3)) | ~in(X0,relation_dom($sk2))),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('25', plain, (apply($sk2,X) != Y | apply($sk3,Y) = X | ~in(Y,relation_rng($sk2)) | ~in(X,relation_rng($sk3))),
% 4.36/0.95 inference(simplify,[then_simplify],['24','1','17'])).
% 4.36/0.95 cnf('26', plain, (apply($sk3,apply($sk2,X)) = X | ~in(apply($sk2,X),relation_rng($sk2)) | ~in(X,relation_rng($sk3))),
% 4.36/0.95 inference(reflexivity,[],['25'])).
% 4.36/0.95 cnf('27', plain, (~in($sk5($sk2,$sk3),relation_rng($sk3)) | apply($sk3,apply($sk2,$sk5($sk2,$sk3))) = $sk5($sk2,$sk3) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['23','26'])).
% 4.36/0.95 cnf('28', plain, (apply($sk3,apply($sk2,$sk5($sk2,$sk3))) = $sk5($sk2,$sk3) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['27','18'])).
% 4.36/0.95 cnf('29', plain, (X != apply($sk3,Y) | ~in(Y,relation_rng($sk2)) | Z != relation_rng($sk3) | in(X,Z)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['1','19','3','4'])).
% 4.36/0.95 cnf('30', plain, (in(apply($sk3,X),Y) | ~in(X,relation_rng($sk2)) | Y != relation_rng($sk3)),
% 4.36/0.95 inference(reflexivity,[],['29'])).
% 4.36/0.95 cnf('31', plain, (in(apply($sk3,X),relation_rng($sk3)) | ~in(X,relation_rng($sk2))),
% 4.36/0.95 inference(reflexivity,[],['30'])).
% 4.36/0.95 cnf('32', plain, (in(apply($sk3,apply($sk2,$sk5($sk2,$sk3))),relation_rng($sk3)) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['23','31'])).
% 4.36/0.95 cnf('33', plain, (in(apply($sk2,apply($sk3,apply($sk2,$sk5($sk2,$sk3)))),relation_rng($sk2)) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['32','22'])).
% 4.36/0.95 cnf('34', plain, (~in(apply($sk3,apply($sk2,$sk5($sk2,$sk3))),relation_rng($sk3)) | apply($sk3,apply($sk2,apply($sk3,apply($sk2,$sk5($sk2,$sk3))))) = apply($sk3,apply($sk2,$sk5($sk2,$sk3))) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['33','26'])).
% 4.36/0.95 cnf('35', plain, (apply($sk3,apply($sk2,apply($sk3,apply($sk2,$sk5($sk2,$sk3))))) = apply($sk3,apply($sk2,$sk5($sk2,$sk3))) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['34','32'])).
% 4.36/0.95 cnf('36', plain, (apply($sk3,apply($sk2,apply($sk3,apply($sk2,$sk5($sk2,$sk3))))) = $sk5($sk2,$sk3) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(paramodulation,[],['28','35'])).
% 4.36/0.95 cnf('37', plain, ($sk5($sk2,$sk3) = apply($sk3,apply($sk2,$sk5($sk2,$sk3))) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(paramodulation,[],['36','35'])).
% 4.36/0.95 cnf('38', plain, ($sk5($sk2,$sk3) = apply($sk3,$sk4($sk2,$sk3)) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(paramodulation,[],['13','37'])).
% 4.36/0.95 cnf('39', plain, ($sk5(X,Y) != apply(Y,$sk4(X,Y)) | ~in($sk4(X,Y),relation_rng(X)) | in($sk7(X,Y),relation_rng(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('40', plain, (~in($sk4($sk2,$sk3),relation_rng($sk2)) | relation_dom($sk3) != relation_rng($sk2) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[then_simplify],['38','39','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('41', plain, (~in($sk4($sk2,$sk3),relation_rng($sk2)) | in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(simplify,[],['40','1'])).
% 4.36/0.95 cnf('42', plain, (X != apply($sk2,Y) | ~in(Y,relation_rng($sk3)) | in(X,relation_rng($sk2))),
% 4.36/0.95 inference(reflexivity,[],['20'])).
% 4.36/0.95 cnf('43', plain, (in($sk7($sk2,$sk3),relation_rng($sk2)) | X != apply($sk2,$sk5($sk2,$sk3)) | in(X,relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['18','42'])).
% 4.36/0.95 cnf('44', plain, (in($sk7($sk2,$sk3),relation_rng($sk2)) | in($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['13','43'])).
% 4.36/0.95 cnf('45', plain, (in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['41','44'])).
% 4.36/0.95 cnf('46', plain, (in(apply($sk3,$sk7($sk2,$sk3)),relation_rng($sk3))),
% 4.36/0.95 inference(resolution,[],['45','31'])).
% 4.36/0.95 cnf('47', plain, (apply($sk3,X1) != X0 | apply($sk2,X0) = X1 | ~in(X1,relation_dom($sk3)) | ~in(X0,relation_dom($sk2))),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('48', plain, (apply($sk3,X) != Y | apply($sk2,Y) = X | ~in(X,relation_rng($sk2)) | ~in(Y,relation_rng($sk3))),
% 4.36/0.95 inference(simplify,[then_simplify],['47','1','17'])).
% 4.36/0.95 cnf('49', plain, (apply($sk2,apply($sk3,X)) = X | ~in(apply($sk3,X),relation_rng($sk3)) | ~in(X,relation_rng($sk2))),
% 4.36/0.95 inference(reflexivity,[],['48'])).
% 4.36/0.95 cnf('50', plain, (in($sk7($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['41','44'])).
% 4.36/0.95 cnf('51', plain, (apply($sk2,apply($sk3,$sk7($sk2,$sk3))) = $sk7($sk2,$sk3)),
% 4.36/0.95 inference(resolution,[then_simplify],['46','49','50'])).
% 4.36/0.95 cnf('52', plain, (apply($sk2,$sk6($sk2,$sk3)) = $sk7($sk2,$sk3) | $sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3))),
% 4.36/0.95 inference(paramodulation,[],['10','51'])).
% 4.36/0.95 cnf('53', plain, ($sk6(X,Y) = apply(Y,$sk7(X,Y)) | in($sk5(X,Y),relation_dom(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('54', plain, ($sk6(X,$sk3) = apply($sk3,$sk7(X,$sk3)) | in($sk5(X,$sk3),relation_dom(X)) | relation_rng($sk2) != relation_rng(X) | $sk3 = function_inverse(X) | ~one_to_one(X) | ~relation(X) | ~function(X)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['1','53','3','4'])).
% 4.36/0.95 cnf('55', plain, ($sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | in($sk5($sk2,$sk3),relation_dom($sk2))),
% 4.36/0.95 inference(reflexivity,[then_simplify],['54','6','7','8','9'])).
% 4.36/0.95 cnf('56', plain, ($sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | in($sk5($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(simplify,[],['55','17'])).
% 4.36/0.95 cnf('57', plain, (apply($sk2,$sk6($sk2,$sk3)) = $sk7($sk2,$sk3) | in($sk5($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[],['56','51'])).
% 4.36/0.95 cnf('58', plain, ($sk7(X,Y) != apply(X,$sk6(X,Y)) | ~in($sk6(X,Y),relation_dom(X)) | in($sk5(X,Y),relation_dom(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('59', plain, (~in($sk6($sk2,$sk3),relation_dom($sk2)) | relation_dom($sk3) != relation_rng($sk2) | in($sk5($sk2,$sk3),relation_rng($sk3)) | in($sk5($sk2,$sk3),relation_dom($sk2))),
% 4.36/0.95 inference(paramodulation,[then_simplify],['57','58','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('60', plain, (~in($sk6($sk2,$sk3),relation_rng($sk3)) | in($sk5($sk2,$sk3),relation_rng($sk3)) | in($sk5($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(simplify,[then_simplify],['59','17','1','17'])).
% 4.36/0.95 cnf('61', plain, (in($sk6($sk2,$sk3),relation_rng($sk3)) | in($sk5($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[],['56','46'])).
% 4.36/0.95 cnf('62', plain, (in($sk5($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(resolution,[],['60','61'])).
% 4.36/0.95 cnf('63', plain, (in(apply($sk2,$sk5($sk2,$sk3)),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['62','22'])).
% 4.36/0.95 cnf('64', plain, (in($sk5($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(resolution,[],['60','61'])).
% 4.36/0.95 cnf('65', plain, (apply($sk3,apply($sk2,$sk5($sk2,$sk3))) = $sk5($sk2,$sk3)),
% 4.36/0.95 inference(resolution,[then_simplify],['63','26','64'])).
% 4.36/0.95 cnf('66', plain, (apply($sk2,$sk6($sk2,$sk3)) = $sk7($sk2,$sk3) | apply($sk3,$sk4($sk2,$sk3)) = $sk5($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[],['52','65'])).
% 4.36/0.95 cnf('67', plain, (~in(X,Y) | element(X,Y)),
% 4.36/0.95 inference(cnf_transformation,[],['t1_subset_$sk'])).
% 4.36/0.95 cnf('68', plain, (element(apply($sk2,$sk5($sk2,$sk3)),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['63','67'])).
% 4.36/0.95 cnf('69', plain, (apply($sk2,$sk6($sk2,$sk3)) = $sk7($sk2,$sk3) | element($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(paramodulation,[],['52','68'])).
% 4.36/0.95 cnf('70', plain, ($sk7(X,Y) != apply(X,$sk6(X,Y)) | $sk4(X,Y) = apply(X,$sk5(X,Y)) | ~in($sk6(X,Y),relation_dom(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('71', plain, (~in($sk6($sk2,$sk3),relation_dom($sk2)) | relation_dom($sk3) != relation_rng($sk2) | $sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3)) | element($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(paramodulation,[then_simplify],['69','70','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('72', plain, (~in($sk6($sk2,$sk3),relation_rng($sk3)) | $sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3)) | element($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(simplify,[then_simplify],['71','17','1'])).
% 4.36/0.95 cnf('73', plain, ($sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3)) | in($sk6($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[],['10','46'])).
% 4.36/0.95 cnf('74', plain, (in($sk6($sk2,$sk3),relation_rng($sk3)) | in($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(paramodulation,[],['73','63'])).
% 4.36/0.95 cnf('75', plain, ($sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3)) | element($sk4($sk2,$sk3),relation_rng($sk2)) | in($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['72','74'])).
% 4.36/0.95 cnf('76', plain, (element($sk4($sk2,$sk3),relation_rng($sk2)) | in($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(paramodulation,[],['75','68'])).
% 4.36/0.95 cnf('77', plain, (~element(X,Y) | in(X,Y) | empty(Y)),
% 4.36/0.95 inference(cnf_transformation,[],['t2_subset_$sk'])).
% 4.36/0.95 cnf('78', plain, (~in(X,Y) | ~empty(Y)),
% 4.36/0.95 inference(cnf_transformation,[],['t7_boole_$sk'])).
% 4.36/0.95 cnf('79', plain, (~empty(relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['45','78'])).
% 4.36/0.95 cnf('80', plain, (in($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[then_simplify],['76','77','79'])).
% 4.36/0.95 cnf('81', plain, (apply($sk3,$sk4($sk2,$sk3)) = $sk5($sk2,$sk3) | in($sk6($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[],['73','65'])).
% 4.36/0.95 cnf('82', plain, ($sk5(X,Y) != apply(Y,$sk4(X,Y)) | $sk6(X,Y) = apply(Y,$sk7(X,Y)) | ~in($sk4(X,Y),relation_rng(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('83', plain, (~in($sk4($sk2,$sk3),relation_rng($sk2)) | relation_dom($sk3) != relation_rng($sk2) | $sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | in($sk6($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[then_simplify],['81','82','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('84', plain, (~in($sk4($sk2,$sk3),relation_rng($sk2)) | $sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | in($sk6($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(simplify,[],['83','1'])).
% 4.36/0.95 cnf('85', plain, ($sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | in($sk6($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(resolution,[],['80','84'])).
% 4.36/0.95 cnf('86', plain, (in($sk6($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[],['85','46'])).
% 4.36/0.95 cnf('87', plain, (in(apply($sk2,$sk6($sk2,$sk3)),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['86','22'])).
% 4.36/0.95 cnf('88', plain, (in($sk6($sk2,$sk3),relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[],['85','46'])).
% 4.36/0.95 cnf('89', plain, (apply($sk3,apply($sk2,$sk6($sk2,$sk3))) = $sk6($sk2,$sk3)),
% 4.36/0.95 inference(resolution,[then_simplify],['87','26','88'])).
% 4.36/0.95 cnf('90', plain, (apply($sk3,$sk7($sk2,$sk3)) = $sk6($sk2,$sk3) | apply($sk3,$sk4($sk2,$sk3)) = $sk5($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[],['66','89'])).
% 4.36/0.95 cnf('91', plain, (in($sk4($sk2,$sk3),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[then_simplify],['76','77','79'])).
% 4.36/0.95 cnf('92', plain, (relation_dom($sk3) != relation_rng($sk2) | $sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | apply($sk3,$sk7($sk2,$sk3)) = $sk6($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['90','82','91','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('93', plain, ($sk6($sk2,$sk3) = apply($sk3,$sk7($sk2,$sk3)) | apply($sk3,$sk7($sk2,$sk3)) = $sk6($sk2,$sk3)),
% 4.36/0.95 inference(simplify,[],['92','1'])).
% 4.36/0.95 cnf('94', plain, (apply($sk3,$sk7($sk2,$sk3)) = $sk6($sk2,$sk3) | apply($sk2,$sk6($sk2,$sk3)) = $sk7($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[],['93','51'])).
% 4.36/0.95 cnf('95', plain, ($sk5(X,Y) != apply(Y,$sk4(X,Y)) | $sk7(X,Y) != apply(X,$sk6(X,Y)) | ~in($sk6(X,Y),relation_dom(X)) | ~in($sk4(X,Y),relation_rng(X)) | relation_dom(Y) != relation_rng(X) | Y = function_inverse(X) | ~one_to_one(X) | ~relation(Y) | ~relation(X) | ~function(Y) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('96', plain, (X != apply(Y,Z) | Z = apply(U,X) | ~in(Z,relation_dom(Y)) | U != function_inverse(Y) | ~one_to_one(Y) | ~relation(Y) | ~relation(U) | ~function(Y) | ~function(U)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('97', plain, (X = apply(function_inverse(Y),Z) | Z != apply(Y,X) | ~in(X,relation_dom(Y)) | ~relation(function_inverse(Y)) | ~function(function_inverse(Y)) | ~one_to_one(Y) | ~relation(Y) | ~function(Y)),
% 4.36/0.95 inference(reflexivity,[],['96'])).
% 4.36/0.95 cnf('98', plain, (relation(function_inverse(X)) | ~relation(X) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['dt_k2_funct_1_$sk'])).
% 4.36/0.95 cnf('99', plain, (relation($sk2)),
% 4.36/0.95 inference(cnf_transformation,[],['t60_funct_1_$sk'])).
% 4.36/0.95 cnf('100', plain, (relation(function_inverse($sk2))),
% 4.36/0.95 inference(resolution,[then_simplify],['98','99','9'])).
% 4.36/0.95 cnf('101', plain, (function(function_inverse(X)) | ~relation(X) | ~function(X)),
% 4.36/0.95 inference(cnf_transformation,[],['dt_k2_funct_1_$sk'])).
% 4.36/0.95 cnf('102', plain, (function(function_inverse($sk2))),
% 4.36/0.95 inference(resolution,[then_simplify],['101','99','9'])).
% 4.36/0.95 cnf('103', plain, (X = apply(function_inverse($sk2),Y) | Y != apply($sk2,X) | ~in(X,relation_rng($sk3))),
% 4.36/0.95 inference(paramodulation,[then_simplify],['17','97','100','102','7','8','9'])).
% 4.36/0.95 cnf('104', plain, (X = apply(function_inverse($sk2),apply($sk2,X)) | ~in(X,relation_rng($sk3))),
% 4.36/0.95 inference(reflexivity,[],['103'])).
% 4.36/0.95 cnf('105', plain, ($sk6($sk2,$sk3) = apply(function_inverse($sk2),apply($sk2,$sk6($sk2,$sk3)))),
% 4.36/0.95 inference(resolution,[],['86','104'])).
% 4.36/0.95 cnf('106', plain, (X != apply(Y,Z) | ~in(Z,relation_rng(U)) | Y != function_inverse(U) | in(X,relation_dom(U)) | ~one_to_one(U) | ~relation(Y) | ~relation(U) | ~function(Y) | ~function(U)),
% 4.36/0.95 inference(cnf_transformation,[],['t54_funct_1_$sk'])).
% 4.36/0.95 cnf('107', plain, (X != apply(function_inverse(Y),Z) | ~in(Z,relation_rng(Y)) | in(X,relation_dom(Y)) | ~relation(function_inverse(Y)) | ~function(function_inverse(Y)) | ~one_to_one(Y) | ~relation(Y) | ~function(Y)),
% 4.36/0.95 inference(reflexivity,[],['106'])).
% 4.36/0.95 cnf('108', plain, (in(apply($sk2,$sk6($sk2,$sk3)),relation_rng($sk2))),
% 4.36/0.95 inference(resolution,[],['86','22'])).
% 4.36/0.95 cnf('109', plain, (in($sk6($sk2,$sk3),relation_dom($sk2))),
% 4.36/0.95 inference(resolution,[then_simplify],['105','107','108','100','102','7','8','9'])).
% 4.36/0.95 cnf('110', plain, ($sk7($sk2,$sk3) != apply($sk2,$sk6($sk2,$sk3)) | relation_dom($sk3) != relation_rng($sk2) | apply($sk3,$sk7($sk2,$sk3)) = $sk6($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['90','95','109','91','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('111', plain, ($sk7($sk2,$sk3) != apply($sk2,$sk6($sk2,$sk3)) | apply($sk3,$sk7($sk2,$sk3)) = $sk6($sk2,$sk3)),
% 4.36/0.95 inference(simplify,[],['110','1'])).
% 4.36/0.95 cnf('112', plain, (apply($sk3,$sk7($sk2,$sk3)) = $sk6($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[],['94','111'])).
% 4.36/0.95 cnf('113', plain, (apply($sk2,$sk6($sk2,$sk3)) = $sk7($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[],['112','51'])).
% 4.36/0.95 cnf('114', plain, (relation_dom($sk3) != relation_rng($sk2) | $sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3))),
% 4.36/0.95 inference(paramodulation,[then_simplify],['113','70','109','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('115', plain, ($sk4($sk2,$sk3) = apply($sk2,$sk5($sk2,$sk3))),
% 4.36/0.95 inference(simplify,[],['114','1'])).
% 4.36/0.95 cnf('116', plain, (apply($sk3,$sk4($sk2,$sk3)) = $sk5($sk2,$sk3)),
% 4.36/0.95 inference(paramodulation,[],['115','65'])).
% 4.36/0.95 cnf('117', plain, ($sk7($sk2,$sk3) != apply($sk2,$sk6($sk2,$sk3)) | relation_dom($sk3) != relation_rng($sk2)),
% 4.36/0.95 inference(paramodulation,[then_simplify],['116','95','109','91','6','7','3','8','4','9'])).
% 4.36/0.95 cnf('118', plain, ($false),
% 4.36/0.95 inference(simplify,[then_simplify],['117','113','1'])).
% 4.36/0.95
% 4.36/0.95 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/0.95
% 4.36/0.95 run 31 fork 6 statistics:
% 4.36/0.95 ----------------------------------
% 4.36/0.95 this run seconds: 0.069441
% 4.36/0.95 total seconds: 0.555137
% 4.36/0.95 stat_given_used: 761
% 4.36/0.95 stat_given_used_at_endgame: 0
% 4.36/0.95 stat_given_candidates: 2557
% 4.36/0.95 stat_given_candidates_at_endgame: 0
% 4.36/0.95 stat_given_candidates_h: 0
% 4.36/0.95 stat_binres_derived_cl: 1496
% 4.36/0.95 stat_binres_derived_cl_h: 0
% 4.36/0.95 stat_factor_derived_cl: 240
% 4.36/0.95 stat_para_derived_cl: 3883
% 4.36/0.95 stat_tautologies_discarded: 18
% 4.36/0.95 stat_forward_subsumed: 2244
% 4.36/0.95 stat_derived_cut: 746
% 4.36/0.95 stat_derived_rewritten: 126
% 4.36/0.95 stat_weight_discarded_building: 0
% 4.36/0.95 stat_weight_discarded_cl: 297
% 4.36/0.95 stat_internlimit_discarded_cl: 0
% 4.36/0.95 stat_simplified: 133 simplified 0 derived 0 given
% 4.36/0.95 stat_kept_cl: 2648
% 4.36/0.95 stat_built_cl: 4599
% 4.36/0.95 stat_hyperres_partial_cl: 0
% 4.36/0.95 stat_made_rewriters: 19
% 4.36/0.95 stat_backward_subsumed: 0
% 4.36/0.95 stat_propagated_subsumed: 0
% 4.36/0.95 stat_clsubs_attempted: 12750
% 4.36/0.95 stat_clsubs_fact_groundunit_found: 18
% 4.36/0.95 stat_clsubs_rule_groundunit_found: 65
% 4.36/0.95 stat_clsubs_top_meta_attempted: 526387
% 4.36/0.95 stat_clsubs_top_meta_failed: 513637
% 4.36/0.95 stat_clsubs_top_meta_nonpref_attempted: 526387
% 4.36/0.95 stat_clsubs_top_meta_nonpref_succeeded: 111814
% 4.36/0.95 stat_clsubs_top_meta_pref_attempted: 111814
% 4.36/0.95 stat_clsubs_top_meta_pref1_succeeded: 34105
% 4.36/0.95 stat_clsubs_top_meta_pref2_succeeded: 17575
% 4.36/0.95 stat_clsubs_top_meta_pref3_succeeded: 12750
% 4.36/0.95 stat_clsubs_top_meta_pref_succeeded: 12750
% 4.36/0.95 stat_clsubs_meta_attempted: 31941
% 4.36/0.95 stat_clsubs_meta_failed: 14497
% 4.36/0.95 stat_clsubs_predsymbs_attempted: 0
% 4.36/0.95 stat_clsubs_unit_attempted: 2486
% 4.36/0.95 stat_clsubs_full_attempted: 10264
% 4.36/0.95 stat_forwardsubs_attempted: 5189
% 4.36/0.95 stat_lit_hash_added: 3075
% 4.36/0.95 stat_lit_hash_computed: 37567
% 4.36/0.95 stat_lit_hash_match_found: 4341
% 4.36/0.95 stat_lit_hash_match_miss: 48071
% 4.36/0.95 stat_lit_hash_cut_ok: 1797
% 4.36/0.95 stat_lit_strong_cut_ok: 4
% 4.36/0.95 stat_lit_hash_subsume_ok: 2244
% 4.36/0.95 clqueue els 10000000 used 1
% 4.36/0.95 clactive els 10000000 used 762
% 4.36/0.95 clactivesubsume els 10000000 used 3367
% 4.36/0.95 queue_termbuf els 200000000 used 278055
% 4.36/0.95 hyper_termbuf els 100000000 used 1
% 4.36/0.95 active_termbuf els 100000000 used 57361
% 4.36/0.95 varstack els 5000 last used 1
% 4.36/0.95 given_termbuf els 10000000 last used 1
% 4.36/0.95 simplified_termbuf els 10000000 last used 1
% 4.36/0.95 derived_termbuf els 10000000 last used 5
% 4.36/0.95 wr_mallocs: 9762
% 4.36/0.95 wr_callocs: 21
% 4.36/0.95 wr_reallocs: 512
% 4.36/0.95 wr_frees: 4
% 4.36/0.95 wr_malloc_bytes: 4162927812
% 4.36/0.95 wr_calloc_bytes: 112065536
% 4.36/0.95 wr_realloc_bytes: 137296
% 4.36/0.95 wr_realloc_freebytes: 0
% 4.36/0.95 ----------------------------------
%------------------------------------------------------------------------------