TSTP Solution File: KLE142+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : KLE142+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n006.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 05:31:22 EDT 2023
% Result : Theorem 39.77s 6.04s
% Output : CNFRefutation 39.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE142+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : gkc %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 12:21:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.38
% 0.19/0.38 input clause set summed statistics:
% 0.19/0.38 ----------------------------------
% 0.19/0.38 in_clause_count: 20
% 0.19/0.38 in_rule_clause_count: 20
% 0.19/0.38 in_fact_clause_count: 0
% 0.19/0.38 in_answer_clause_count: 0
% 0.19/0.38 in_ground_clause_count: 1
% 0.19/0.38 in_unit_clause_count: 15
% 0.19/0.38 in_horn_clause_count: 20
% 0.19/0.38 in_pos_clause_count: 14
% 0.19/0.38 in_neg_clause_count: 1
% 0.19/0.38 in_poseq_clause_count: 15
% 0.19/0.38 in_negeq_clause_count: 2
% 0.19/0.38 in_unitposeq_clause_count: 14
% 0.19/0.38 in_chain_clause_count: 0
% 0.19/0.38 in_min_length: 1
% 0.19/0.38 in_max_length: 2
% 0.19/0.38 in_min_depth: 2
% 0.19/0.38 in_max_depth: 4
% 0.19/0.38 in_min_size: 5
% 0.19/0.38 in_max_size: 13
% 0.19/0.38 in_min_vars: 0
% 0.19/0.38 in_max_vars: 3
% 0.19/0.38 in_extaxiom_count: 19
% 0.19/0.38 in_axiom_count: 0
% 0.19/0.38 in_assumption_count: 0
% 0.19/0.38 in_goal_count: 1
% 0.19/0.38 in_neg_goal_count: 1
% 0.19/0.38 in_pos_goal_count: 0
% 0.19/0.38 in_posunit_goal_count: 0
% 0.19/0.38
% 0.19/0.38 auto guide:
% 0.19/0.38 -----------
% 0.19/0.38 {
% 0.19/0.38 "print":1,
% 0.19/0.38 "print_level": 15,
% 0.19/0.38 "max_size": 0,
% 0.19/0.38 "max_depth": 0,
% 0.19/0.38 "max_length": 0,
% 0.19/0.38 "max_dseconds": 0,
% 0.19/0.38 "runs":[
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.38 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.38 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.38 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.38 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.38 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.38 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.38 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.19/0.38 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.19/0.38 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.38 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.38
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.38 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":10},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.38 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":10},
% 0.19/0.38 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":10},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":10},
% 0.19/0.38 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.38 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.38 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
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% 0.19/0.39 **** run 8 fork 7 starts with strategy
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% 7.90/1.48 {"var_weight":70,"repeat_var_weight":70,"rewrite":0,"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["hardness_pref","max_weight"],"max_dseconds":1}
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% 9.37/1.63 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
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% 11.08/1.88 fork 5: search terminated without proof.
% 11.08/1.90
% 11.08/1.90 **** run 94 fork 5 starts with strategy
% 11.08/1.90 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 11.08/1.91
% 11.08/1.91
% 11.08/1.91 fork 1: search terminated without proof.
% 11.08/1.92
% 11.08/1.92
% 11.08/1.92 fork 7: search terminated without proof.
% 11.08/1.93
% 11.08/1.93 **** run 90 fork 1 starts with strategy
% 11.08/1.93 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 11.41/1.94
% 11.41/1.94
% 11.41/1.94 fork 4: search terminated without proof.
% 11.41/1.94
% 11.41/1.94 **** run 96 fork 7 starts with strategy
% 11.41/1.94 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 11.41/1.95
% 11.41/1.95 **** run 93 fork 4 starts with strategy
% 11.41/1.95 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 11.79/1.98
% 11.79/1.98
% 11.79/1.98 fork 6: search terminated without proof.
% 11.79/2.00
% 11.79/2.00 **** run 95 fork 6 starts with strategy
% 11.79/2.00 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 17.42/2.78
% 17.42/2.78
% 17.42/2.78 fork 2: search terminated without proof.
% 17.42/2.81
% 17.42/2.81 **** run 99 fork 2 starts with strategy
% 17.42/2.81 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 17.65/2.83
% 17.65/2.83
% 17.65/2.83 fork 3: search terminated without proof.
% 17.75/2.85
% 17.75/2.85 **** run 100 fork 3 starts with strategy
% 17.75/2.85 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":1}
% 18.32/2.92
% 18.32/2.92
% 18.32/2.92 fork 5: search terminated without proof.
% 18.32/2.94
% 18.32/2.94 **** run 102 fork 5 starts with strategy
% 18.32/2.94 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 18.32/2.96
% 18.32/2.96
% 18.32/2.96 fork 1: search terminated without proof.
% 18.32/2.97
% 18.32/2.97
% 18.32/2.97 fork 7: search terminated without proof.
% 18.32/2.97
% 18.32/2.97
% 18.32/2.97 fork 4: search terminated without proof.
% 18.76/3.00
% 18.76/3.00 **** run 104 fork 7 starts with strategy
% 18.76/3.00 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 18.76/3.00
% 18.76/3.00 **** run 101 fork 4 starts with strategy
% 18.76/3.00 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 18.76/3.01
% 18.76/3.01 **** run 98 fork 1 starts with strategy
% 18.76/3.01 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 20.12/3.18
% 20.12/3.18
% 20.12/3.18 fork 6: search terminated without proof.
% 20.21/3.21
% 20.21/3.21 **** run 103 fork 6 starts with strategy
% 20.21/3.21 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 24.19/3.84
% 24.19/3.84
% 24.19/3.84 fork 2: search terminated without proof.
% 24.82/3.86
% 24.82/3.86 **** run 107 fork 2 starts with strategy
% 24.82/3.86 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 24.82/3.87
% 24.82/3.87
% 24.82/3.87 fork 3: search terminated without proof.
% 25.10/3.90
% 25.10/3.90 **** run 108 fork 3 starts with strategy
% 25.10/3.90 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 25.60/3.99
% 25.60/3.99
% 25.60/3.99 fork 5: search terminated without proof.
% 25.60/4.01
% 25.60/4.01 **** run 110 fork 5 starts with strategy
% 25.60/4.01 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 25.99/4.03
% 25.99/4.03
% 25.99/4.03 fork 4: search terminated without proof.
% 25.99/4.03
% 25.99/4.03
% 25.99/4.03 fork 7: search terminated without proof.
% 25.99/4.05
% 25.99/4.05
% 25.99/4.05 fork 1: search terminated without proof.
% 26.28/4.06
% 26.28/4.06 **** run 109 fork 4 starts with strategy
% 26.28/4.06 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 26.28/4.07
% 26.28/4.07 **** run 106 fork 1 starts with strategy
% 26.28/4.07 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 26.28/4.07
% 26.28/4.07 **** run 112 fork 7 starts with strategy
% 26.28/4.07 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 27.18/4.23
% 27.18/4.23
% 27.18/4.23 fork 6: search terminated without proof.
% 27.58/4.26
% 27.58/4.26 **** run 111 fork 6 starts with strategy
% 27.58/4.26 {"max_dseconds":10,"strategy":["query_focus","double"],"query_preference":1}
% 31.64/4.88
% 31.64/4.88
% 31.64/4.88 fork 2: search terminated without proof.
% 31.64/4.90
% 31.64/4.90 **** run 115 fork 2 starts with strategy
% 31.64/4.90 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 31.64/4.92
% 31.64/4.92
% 31.64/4.92 fork 3: search terminated without proof.
% 31.64/4.94
% 31.64/4.94 **** run 116 fork 3 starts with strategy
% 31.64/4.94 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_unordered_para"],"query_preference":1,"reverse_clauselist":1}
% 33.04/5.03
% 33.04/5.03
% 33.04/5.03 fork 5: search terminated without proof.
% 33.16/5.05
% 33.16/5.05 **** run 118 fork 5 starts with strategy
% 33.16/5.05 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 33.16/5.09
% 33.16/5.09
% 33.16/5.09 fork 4: search terminated without proof.
% 33.16/5.09
% 33.16/5.09
% 33.16/5.09 fork 7: search terminated without proof.
% 33.16/5.10
% 33.16/5.10
% 33.16/5.10 fork 1: search terminated without proof.
% 33.67/5.12
% 33.67/5.12 **** run 120 fork 7 starts with strategy
% 33.67/5.12 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 33.67/5.15
% 33.67/5.15 fork 7: search finished without proof.
% 33.67/5.16
% 33.67/5.16 **** run 117 fork 4 starts with strategy
% 33.67/5.16 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 33.67/5.16
% 33.67/5.16 **** run 114 fork 1 starts with strategy
% 33.67/5.16 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 34.02/5.17
% 34.02/5.17 **** run 128 fork 7 starts with strategy
% 34.02/5.17 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1,"max_size":17}
% 34.82/5.31
% 34.82/5.31
% 34.82/5.31 fork 6: search terminated without proof.
% 35.15/5.34
% 35.15/5.34 **** run 119 fork 6 starts with strategy
% 35.15/5.34 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":10}
% 38.79/5.93
% 38.79/5.93
% 38.79/5.93 fork 2: search terminated without proof.
% 39.42/5.95
% 39.42/5.95 **** run 123 fork 2 starts with strategy
% 39.42/5.95 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"equality":0}
% 39.42/5.97
% 39.42/5.97
% 39.42/5.97 fork 3: search terminated without proof.
% 39.42/5.97
% 39.42/5.97 fork 2: search finished without proof.
% 39.42/5.99
% 39.42/5.99 **** run 131 fork 2 starts with strategy
% 39.42/5.99 {"max_dseconds":10,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 39.77/6.00
% 39.77/6.00 **** run 124 fork 3 starts with strategy
% 39.77/6.00 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 39.77/6.04
% 39.77/6.04
% 39.77/6.04 result: proof found
% 39.77/6.04 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.77/6.04 by run 128 fork 7 strategy {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1,"max_size":17}
% 39.77/6.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.77/6.04
% 39.77/6.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.77/6.04 fof('$inc_star_unfold2_$sk', plain, (addition(one,multiplication(star(X1),X1)) = star(X1)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_star_unfold2'])).
% 39.77/6.04 fof('$inc_star_unfold2', axiom, (! [A] : (addition(one,multiplication(star(A),A)) = star(A))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_additive_commutativity_$sk', plain, (addition(X2,X1) = addition(X1,X2)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_additive_commutativity'])).
% 39.77/6.04 fof('$inc_additive_commutativity', axiom, (! [A,B] : (addition(A,B) = addition(B,A))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_order_$sk', plain, ((~leq(X2,X1) | (addition(X2,X1) = X1)) & (leq(X4,X3) | ~(addition(X4,X3) = X3))),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_order'])).
% 39.77/6.04 fof('$inc_order', axiom, (! [A,B] : (leq(A,B) <=> (addition(A,B) = B))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_idempotence_$sk', plain, (addition(X1,X1) = X1),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_idempotence'])).
% 39.77/6.04 fof('$inc_idempotence', axiom, (! [A] : (addition(A,A) = A)),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_additive_associativity_$sk', plain, (addition(X3,addition(X1,X2)) = addition(addition(X3,X1),X2)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_additive_associativity'])).
% 39.77/6.04 fof('$inc_additive_associativity', axiom, (! [C,B,A] : (addition(A,addition(B,C)) = addition(addition(A,B),C))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_multiplicative_right_identity_$sk', plain, (multiplication(X1,one) = X1),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_multiplicative_right_identity'])).
% 39.77/6.04 fof('$inc_multiplicative_right_identity', axiom, (! [A] : (multiplication(A,one) = A)),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_distributivity1_$sk', plain, (multiplication(X3,addition(X1,X2)) = addition(multiplication(X3,X1),multiplication(X3,X2))),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_distributivity1'])).
% 39.77/6.04 fof('$inc_distributivity1', axiom, (! [A,B,C] : (multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_isolation_$sk', plain, (strong_iteration(X1) = addition(star(X1),multiplication(strong_iteration(X1),zero))),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_isolation'])).
% 39.77/6.04 fof('$inc_isolation', axiom, (! [A] : (strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_distributivity2_$sk', plain, (multiplication(addition(X3,X2),X1) = addition(multiplication(X3,X1),multiplication(X2,X1))),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_distributivity2'])).
% 39.77/6.04 fof('$inc_distributivity2', axiom, (! [A,B,C] : (multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_left_annihilation_$sk', plain, (multiplication(zero,X1) = zero),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_left_annihilation'])).
% 39.77/6.04 fof('$inc_left_annihilation', axiom, (! [A] : (multiplication(zero,A) = zero)),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_multiplicative_associativity_$sk', plain, (multiplication(X3,multiplication(X1,X2)) = multiplication(multiplication(X3,X1),X2)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_multiplicative_associativity'])).
% 39.77/6.04 fof('$inc_multiplicative_associativity', axiom, (! [A,B,C] : (multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_infty_coinduction_$sk', plain, (leq(X3,multiplication(strong_iteration(X1),X2)) | ~leq(X3,addition(multiplication(X1,X3),X2))),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_infty_coinduction'])).
% 39.77/6.04 fof('$inc_infty_coinduction', axiom, (! [A,B,C] : (leq(C,addition(multiplication(A,C),B)) => leq(C,multiplication(strong_iteration(A),B)))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_multiplicative_left_identity_$sk', plain, (multiplication(one,X1) = X1),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_multiplicative_left_identity'])).
% 39.77/6.04 fof('$inc_multiplicative_left_identity', axiom, (! [A] : (multiplication(one,A) = A)),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_infty_unfold1_$sk', plain, (strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_infty_unfold1'])).
% 39.77/6.04 fof('$inc_infty_unfold1', axiom, (! [A] : (strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_additive_identity_$sk', plain, (addition(X1,zero) = X1),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_additive_identity'])).
% 39.77/6.04 fof('$inc_additive_identity', axiom, (! [A] : (addition(A,zero) = A)),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_star_unfold1_$sk', plain, (addition(one,multiplication(X1,star(X1))) = star(X1)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_star_unfold1'])).
% 39.77/6.04 fof('$inc_star_unfold1', axiom, (! [A] : (addition(one,multiplication(A,star(A))) = star(A))),
% 39.77/6.04 input).
% 39.77/6.04 fof('$inc_star_induction2_$sk', plain, (leq(multiplication(X3,star(X2)),X1) | ~leq(addition(multiplication(X1,X2),X3),X1)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['$inc_star_induction2'])).
% 39.77/6.04 fof('$inc_star_induction2', axiom, (! [A,B,C] : (leq(addition(multiplication(C,A),B),C) => leq(multiplication(B,star(A)),C))),
% 39.77/6.04 input).
% 39.77/6.04 fof('goals_$sk', plain, ~(strong_iteration(strong_iteration($sk1)) = strong_iteration(one)),
% 39.77/6.04 inference(negpush_and_skolemize,[],['goals'])).
% 39.77/6.04 fof('goals', conjecture, (! [X0] : (strong_iteration(strong_iteration(X0)) = strong_iteration(one))),
% 39.77/6.04 input).
% 39.77/6.04 cnf('1', plain, (addition(one,multiplication(star(X),X)) = star(X)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_star_unfold2_$sk'])).
% 39.77/6.04 cnf('2', plain, (addition(X,Y) = addition(Y,X)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_additive_commutativity_$sk'])).
% 39.77/6.04 cnf('3', plain, (addition(X,Y) != Y | leq(X,Y)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_order_$sk'])).
% 39.77/6.04 cnf('4', plain, (addition(X,X) = X),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_idempotence_$sk'])).
% 39.77/6.04 cnf('5', plain, (addition(X,addition(Y,Z)) = addition(addition(X,Y),Z)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_additive_associativity_$sk'])).
% 39.77/6.04 cnf('6', plain, (addition(X,addition(X,Y)) = addition(X,Y)),
% 39.77/6.04 inference(paramodulation,[],['4','5'])).
% 39.77/6.04 cnf('7', plain, (leq(X,addition(X,Y))),
% 39.77/6.04 inference(resolution,[],['3','6'])).
% 39.77/6.04 cnf('8', plain, (leq(X,addition(Y,X))),
% 39.77/6.04 inference(paramodulation,[],['2','7'])).
% 39.77/6.04 cnf('9', plain, (addition(X,Y) = Y | ~leq(X,Y)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_order_$sk'])).
% 39.77/6.04 cnf('10', plain, (addition(X,addition(Y,X)) = addition(Y,X)),
% 39.77/6.04 inference(resolution,[],['8','9'])).
% 39.77/6.04 cnf('11', plain, (addition(multiplication(star(X3),X3),star(X3)) = addition(one,multiplication(star(X3),X3))),
% 39.77/6.04 inference(paramodulation,[],['1','10'])).
% 39.77/6.04 cnf('12', plain, (multiplication(X,one) = X),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_multiplicative_right_identity_$sk'])).
% 39.77/6.04 cnf('13', plain, (multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z))),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_distributivity1_$sk'])).
% 39.77/6.04 cnf('14', plain, (multiplication(X,addition(Y,one)) = addition(multiplication(X,Y),X)),
% 39.77/6.04 inference(paramodulation,[],['12','13'])).
% 39.77/6.04 cnf('15', plain, (multiplication(star(X),addition(X,one)) = star(X)),
% 39.77/6.04 inference(simplify,[then_simplify],['11','14','1'])).
% 39.77/6.04 cnf('16', plain, (strong_iteration(X) = addition(star(X),multiplication(strong_iteration(X),zero))),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_isolation_$sk'])).
% 39.77/6.04 cnf('17', plain, (multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z))),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_distributivity2_$sk'])).
% 39.77/6.04 cnf('18', plain, (multiplication(strong_iteration(X3),Y3) = addition(multiplication(star(X3),Y3),multiplication(multiplication(strong_iteration(X3),zero),Y3))),
% 39.77/6.04 inference(paramodulation,[],['16','17'])).
% 39.77/6.04 cnf('19', plain, (multiplication(zero,X) = zero),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_left_annihilation_$sk'])).
% 39.77/6.04 cnf('20', plain, (multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_multiplicative_associativity_$sk'])).
% 39.77/6.04 cnf('21', plain, (multiplication(X,zero) = multiplication(multiplication(X,zero),Y)),
% 39.77/6.04 inference(paramodulation,[],['19','20'])).
% 39.77/6.04 cnf('22', plain, (multiplication(strong_iteration(X),Y) = addition(multiplication(star(X),Y),multiplication(strong_iteration(X),zero))),
% 39.77/6.04 inference(simplify,[],['18','21'])).
% 39.77/6.04 cnf('23', plain, (multiplication(strong_iteration(X3),addition(X3,one)) = addition(star(X3),multiplication(strong_iteration(X3),zero))),
% 39.77/6.04 inference(paramodulation,[],['15','22'])).
% 39.77/6.04 cnf('24', plain, (multiplication(strong_iteration(X),addition(X,one)) = strong_iteration(X)),
% 39.77/6.04 inference(simplify,[],['23','16'])).
% 39.77/6.04 cnf('25', plain, (~leq(X,addition(multiplication(Y,X),Z)) | leq(X,multiplication(strong_iteration(Y),Z))),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_infty_coinduction_$sk'])).
% 39.77/6.04 cnf('26', plain, (leq(addition(X3,one),multiplication(strong_iteration(strong_iteration(X3)),Y3)) | ~leq(addition(X3,one),addition(strong_iteration(X3),Y3))),
% 39.77/6.04 inference(paramodulation,[],['24','25'])).
% 39.77/6.04 cnf('27', plain, (addition(X,addition(Y,Z)) = addition(Y,Z) | ~leq(X,Y)),
% 39.77/6.04 inference(paramodulation,[],['9','5'])).
% 39.77/6.04 cnf('28', plain, (leq(X,multiplication(strong_iteration(Y),X))),
% 39.77/6.04 inference(resolution,[],['8','25'])).
% 39.77/6.04 cnf('29', plain, (leq(addition(X,one),strong_iteration(X))),
% 39.77/6.04 inference(paramodulation,[],['24','28'])).
% 39.77/6.04 cnf('30', plain, (addition(addition(X,one),addition(strong_iteration(X),Y)) = addition(strong_iteration(X),Y)),
% 39.77/6.04 inference(resolution,[],['27','29'])).
% 39.77/6.04 cnf('31', plain, (leq(addition(X3,one),addition(strong_iteration(X3),Y3))),
% 39.77/6.04 inference(resolution,[],['30','3'])).
% 39.77/6.04 cnf('32', plain, (leq(addition(X,one),multiplication(strong_iteration(strong_iteration(X)),Y))),
% 39.77/6.04 inference(simplify,[],['26','31'])).
% 39.77/6.04 cnf('33', plain, (addition(Y3,Y3) = addition(X3,Y3) | ~leq(X3,Y3)),
% 39.77/6.04 inference(paramodulation,[],['9','10'])).
% 39.77/6.04 cnf('34', plain, (X = addition(Y,X) | ~leq(Y,X)),
% 39.77/6.04 inference(simplify,[],['33','4'])).
% 39.77/6.04 cnf('35', plain, (multiplication(strong_iteration(strong_iteration(X)),Y) = addition(addition(X,one),multiplication(strong_iteration(strong_iteration(X)),Y))),
% 39.77/6.04 inference(resolution,[],['32','34'])).
% 39.77/6.04 cnf('36', plain, (multiplication(X3,addition(Y3,addition(Z3,U3))) = addition(multiplication(X3,addition(Y3,Z3)),multiplication(X3,U3))),
% 39.77/6.04 inference(paramodulation,[],['5','13'])).
% 39.77/6.04 cnf('37', plain, (multiplication(X,addition(Y,addition(Z,U))) = multiplication(X,addition(addition(Y,Z),U))),
% 39.77/6.04 inference(simplify,[],['36','13'])).
% 39.77/6.04 cnf('38', plain, (multiplication(one,X) = X),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_multiplicative_left_identity_$sk'])).
% 39.77/6.04 cnf('39', plain, (multiplication(one,addition(addition(X3,Y3),Z3)) = addition(X3,addition(Y3,Z3))),
% 39.77/6.04 inference(paramodulation,[],['37','38'])).
% 39.77/6.04 cnf('40', plain, (addition(addition(X,Y),Z) = addition(X,addition(Y,Z))),
% 39.77/6.04 inference(simplify,[],['39','38'])).
% 39.77/6.04 cnf('41', plain, (leq(X,addition(addition(X,Y),Z))),
% 39.77/6.04 inference(paramodulation,[],['40','7'])).
% 39.77/6.04 cnf('42', plain, (addition(X,addition(addition(X,Y),Z)) = addition(addition(X,Y),Z)),
% 39.77/6.04 inference(resolution,[],['41','9'])).
% 39.77/6.04 cnf('43', plain, (addition(X3,addition(addition(X3,one),multiplication(strong_iteration(strong_iteration(X3)),Y3))) = multiplication(strong_iteration(strong_iteration(X3)),Y3)),
% 39.77/6.04 inference(paramodulation,[],['35','42'])).
% 39.77/6.04 cnf('44', plain, (addition(X,multiplication(strong_iteration(strong_iteration(X)),Y)) = multiplication(strong_iteration(strong_iteration(X)),Y)),
% 39.77/6.04 inference(simplify,[],['43','35'])).
% 39.77/6.04 cnf('45', plain, (strong_iteration(X) = addition(multiplication(X,strong_iteration(X)),one)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_infty_unfold1_$sk'])).
% 39.77/6.04 cnf('46', plain, (strong_iteration(zero) = addition(zero,one)),
% 39.77/6.04 inference(paramodulation,[],['19','45'])).
% 39.77/6.04 cnf('47', plain, (addition(X,zero) = X),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_additive_identity_$sk'])).
% 39.77/6.04 cnf('48', plain, (addition(zero,X) = X),
% 39.77/6.04 inference(paramodulation,[],['2','47'])).
% 39.77/6.04 cnf('49', plain, (strong_iteration(zero) = one),
% 39.77/6.04 inference(simplify,[],['46','48'])).
% 39.77/6.04 cnf('50', plain, (addition(multiplication(X3,Y3),multiplication(Z3,Y3)) = multiplication(addition(Z3,X3),Y3)),
% 39.77/6.04 inference(paramodulation,[],['17','2'])).
% 39.77/6.04 cnf('51', plain, (multiplication(addition(X,Y),Z) = multiplication(addition(Y,X),Z)),
% 39.77/6.04 inference(simplify,[],['50','17'])).
% 39.77/6.04 cnf('52', plain, (multiplication(addition(X,Y),Z) = multiplication(X,Z) | ~leq(Y,X)),
% 39.77/6.04 inference(paramodulation,[],['9','51'])).
% 39.77/6.04 cnf('53', plain, (multiplication(addition(strong_iteration(X),addition(X,one)),Y) = multiplication(strong_iteration(X),Y)),
% 39.77/6.04 inference(resolution,[],['52','29'])).
% 39.77/6.04 cnf('54', plain, (multiplication(multiplication(addition(strong_iteration(X3),addition(X3,one)),Y3),Z3) = multiplication(strong_iteration(X3),multiplication(Y3,Z3))),
% 39.77/6.04 inference(paramodulation,[],['20','53'])).
% 39.77/6.04 cnf('55', plain, (addition(X,Y) = addition(addition(X,Z),Y) | ~leq(Z,Y)),
% 39.77/6.04 inference(paramodulation,[],['9','5'])).
% 39.77/6.04 cnf('56', plain, (addition(X,addition(Y,Z)) = addition(addition(X,Y),addition(Y,Z))),
% 39.77/6.04 inference(resolution,[],['55','7'])).
% 39.77/6.04 cnf('57', plain, (addition(multiplication(X3,strong_iteration(X3)),addition(one,Y3)) = addition(strong_iteration(X3),addition(one,Y3))),
% 39.77/6.04 inference(paramodulation,[],['45','56'])).
% 39.77/6.04 cnf('58', plain, (addition(multiplication(X,strong_iteration(X)),addition(one,Y)) = addition(strong_iteration(X),Y)),
% 39.77/6.04 inference(paramodulation,[],['45','5'])).
% 39.77/6.04 cnf('59', plain, (addition(strong_iteration(X),Y) = addition(strong_iteration(X),addition(one,Y))),
% 39.77/6.04 inference(simplify,[],['57','58'])).
% 39.77/6.04 cnf('60', plain, (addition(multiplication(X3,Y3),multiplication(X3,Z3)) = multiplication(X3,addition(Z3,Y3))),
% 39.77/6.04 inference(paramodulation,[],['13','2'])).
% 39.77/6.04 cnf('61', plain, (multiplication(X,addition(Y,Z)) = multiplication(X,addition(Z,Y))),
% 39.77/6.04 inference(simplify,[],['60','13'])).
% 39.77/6.04 cnf('62', plain, (multiplication(X3,addition(Y3,addition(Z3,U3))) = addition(multiplication(X3,Y3),multiplication(X3,addition(U3,Z3)))),
% 39.77/6.04 inference(paramodulation,[],['61','13'])).
% 39.77/6.04 cnf('63', plain, (multiplication(X,addition(Y,addition(Z,U))) = multiplication(X,addition(Y,addition(U,Z)))),
% 39.77/6.04 inference(simplify,[],['62','13'])).
% 39.77/6.04 cnf('64', plain, (multiplication(one,addition(X3,addition(Y3,Z3))) = addition(X3,addition(Z3,Y3))),
% 39.77/6.04 inference(paramodulation,[],['63','38'])).
% 39.77/6.04 cnf('65', plain, (addition(X,addition(Y,Z)) = addition(X,addition(Z,Y))),
% 39.77/6.04 inference(simplify,[],['64','38'])).
% 39.77/6.04 cnf('66', plain, (addition(strong_iteration(X),addition(Y,one)) = addition(strong_iteration(X),Y)),
% 39.77/6.04 inference(paramodulation,[],['59','65'])).
% 39.77/6.04 cnf('67', plain, (addition(addition(X3,one),strong_iteration(X3)) = strong_iteration(X3)),
% 39.77/6.04 inference(resolution,[],['29','9'])).
% 39.77/6.04 cnf('68', plain, (addition(one,strong_iteration(X3)) = addition(multiplication(X3,strong_iteration(X3)),one)),
% 39.77/6.04 inference(paramodulation,[],['45','10'])).
% 39.77/6.04 cnf('69', plain, (addition(one,strong_iteration(X)) = strong_iteration(X)),
% 39.77/6.04 inference(simplify,[],['68','45'])).
% 39.77/6.04 cnf('70', plain, (addition(addition(X,one),strong_iteration(Y)) = addition(X,strong_iteration(Y))),
% 39.77/6.04 inference(paramodulation,[],['69','40'])).
% 39.77/6.04 cnf('71', plain, (addition(X,strong_iteration(X)) = strong_iteration(X)),
% 39.77/6.04 inference(simplify,[],['67','70'])).
% 39.77/6.04 cnf('72', plain, (addition(strong_iteration(X),X) = strong_iteration(X)),
% 39.77/6.04 inference(paramodulation,[],['71','2'])).
% 39.77/6.04 cnf('73', plain, (multiplication(multiplication(strong_iteration(X),Y),Z) = multiplication(strong_iteration(X),multiplication(Y,Z))),
% 39.77/6.04 inference(simplify,[then_simplify],['54','66','72'])).
% 39.77/6.04 cnf('74', plain, (leq(X3,multiplication(strong_iteration(one),Y3)) | ~leq(X3,addition(X3,Y3))),
% 39.77/6.04 inference(paramodulation,[],['38','25'])).
% 39.77/6.04 cnf('75', plain, (leq(X3,addition(X3,Y3))),
% 39.77/6.04 inference(resolution,[],['3','6'])).
% 39.77/6.04 cnf('76', plain, (leq(X,multiplication(strong_iteration(one),Y))),
% 39.77/6.04 inference(simplify,[],['74','75'])).
% 39.77/6.04 cnf('77', plain, (addition(X,multiplication(strong_iteration(one),Y)) = multiplication(strong_iteration(one),Y)),
% 39.77/6.04 inference(resolution,[],['76','9'])).
% 39.77/6.04 cnf('78', plain, (addition(X3,multiplication(Y3,addition(Z3,U3))) = addition(X3,addition(multiplication(Y3,U3),multiplication(Y3,Z3)))),
% 39.77/6.04 inference(paramodulation,[],['13','65'])).
% 39.77/6.04 cnf('79', plain, (addition(X,multiplication(Y,addition(Z,U))) = addition(X,multiplication(Y,addition(U,Z)))),
% 39.77/6.04 inference(simplify,[],['78','13'])).
% 39.77/6.04 cnf('80', plain, (addition(X3,multiplication(strong_iteration(one),addition(Y3,Z3))) = multiplication(strong_iteration(one),addition(Z3,Y3))),
% 39.77/6.04 inference(paramodulation,[],['77','79'])).
% 39.77/6.04 cnf('81', plain, (multiplication(strong_iteration(one),addition(X,Y)) = multiplication(strong_iteration(one),Y)),
% 39.77/6.04 inference(paramodulation,[],['77','13'])).
% 39.77/6.04 cnf('82', plain, (multiplication(strong_iteration(one),X) = multiplication(strong_iteration(one),Y)),
% 39.77/6.04 inference(simplify,[then_simplify],['80','81','77','81'])).
% 39.77/6.04 cnf('83', plain, (addition(one,multiplication(X,star(X))) = star(X)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_star_unfold1_$sk'])).
% 39.77/6.04 cnf('84', plain, (addition(one,multiplication(strong_iteration(one),X3)) = star(strong_iteration(one))),
% 39.77/6.04 inference(paramodulation,[],['82','83'])).
% 39.77/6.04 cnf('85', plain, (multiplication(strong_iteration(one),X) = strong_iteration(one)),
% 39.77/6.04 inference(paramodulation,[],['82','24'])).
% 39.77/6.04 cnf('86', plain, (addition(X3,strong_iteration(one)) = multiplication(strong_iteration(one),one)),
% 39.77/6.04 inference(paramodulation,[],['12','77'])).
% 39.77/6.04 cnf('87', plain, (addition(X,strong_iteration(one)) = strong_iteration(one)),
% 39.77/6.04 inference(simplify,[],['86','12'])).
% 39.77/6.04 cnf('88', plain, (strong_iteration(one) = star(strong_iteration(one))),
% 39.77/6.04 inference(simplify,[then_simplify],['84','85','87'])).
% 39.77/6.04 cnf('89', plain, (addition(multiplication(X3,star(X3)),star(X3)) = addition(one,multiplication(X3,star(X3)))),
% 39.77/6.04 inference(paramodulation,[],['83','10'])).
% 39.77/6.04 cnf('90', plain, (multiplication(addition(X,one),Y) = addition(multiplication(X,Y),Y)),
% 39.77/6.04 inference(paramodulation,[],['38','17'])).
% 39.77/6.04 cnf('91', plain, (multiplication(addition(X,one),star(X)) = star(X)),
% 39.77/6.04 inference(simplify,[then_simplify],['89','90','83'])).
% 39.77/6.04 cnf('92', plain, (multiplication(addition(X3,addition(Y3,one)),star(Y3)) = addition(multiplication(X3,star(Y3)),star(Y3))),
% 39.77/6.04 inference(paramodulation,[],['91','17'])).
% 39.77/6.04 cnf('93', plain, (multiplication(addition(X,addition(Y,one)),star(Y)) = multiplication(addition(X,one),star(Y))),
% 39.77/6.04 inference(simplify,[],['92','90'])).
% 39.77/6.04 cnf('94', plain, (multiplication(addition(X3,addition(strong_iteration(one),one)),star(strong_iteration(one))) = multiplication(addition(X3,one),strong_iteration(one))),
% 39.77/6.04 inference(paramodulation,[],['88','93'])).
% 39.77/6.04 cnf('95', plain, (addition(strong_iteration(one),X) = strong_iteration(one)),
% 39.77/6.04 inference(paramodulation,[],['87','2'])).
% 39.77/6.04 cnf('96', plain, (strong_iteration(strong_iteration(one)) = addition(multiplication(strong_iteration(one),X3),one)),
% 39.77/6.04 inference(paramodulation,[],['82','45'])).
% 39.77/6.04 cnf('97', plain, (strong_iteration(strong_iteration(one)) = strong_iteration(one)),
% 39.77/6.04 inference(simplify,[then_simplify],['96','85','95'])).
% 39.77/6.04 cnf('98', plain, (addition(X,multiplication(strong_iteration(Y),Z)) = addition(addition(X,Z),multiplication(strong_iteration(Y),Z))),
% 39.77/6.04 inference(resolution,[],['55','28'])).
% 39.77/6.04 cnf('99', plain, (addition(X3,multiplication(strong_iteration(Y3),strong_iteration(X3))) = addition(strong_iteration(X3),multiplication(strong_iteration(Y3),strong_iteration(X3)))),
% 39.77/6.04 inference(paramodulation,[],['71','98'])).
% 39.77/6.04 cnf('100', plain, (multiplication(addition(one,X),Y) = addition(Y,multiplication(X,Y))),
% 39.77/6.04 inference(paramodulation,[],['38','17'])).
% 39.77/6.04 cnf('101', plain, (addition(X,multiplication(strong_iteration(Y),strong_iteration(X))) = multiplication(strong_iteration(Y),strong_iteration(X))),
% 39.77/6.04 inference(simplify,[then_simplify],['99','100','69'])).
% 39.77/6.04 cnf('102', plain, (addition(strong_iteration(one),multiplication(strong_iteration(X3),strong_iteration(one))) = multiplication(strong_iteration(X3),strong_iteration(strong_iteration(one)))),
% 39.77/6.04 inference(paramodulation,[],['97','101'])).
% 39.77/6.04 cnf('103', plain, (strong_iteration(one) = multiplication(strong_iteration(X),strong_iteration(one))),
% 39.77/6.04 inference(simplify,[then_simplify],['102','95','97'])).
% 39.77/6.04 cnf('104', plain, (strong_iteration(one) = multiplication(addition(X,one),strong_iteration(one))),
% 39.77/6.04 inference(simplify,[then_simplify],['94','95','87','88','103'])).
% 39.77/6.04 cnf('105', plain, (multiplication(addition(addition(X3,one),Y3),strong_iteration(one)) = addition(strong_iteration(one),multiplication(Y3,strong_iteration(one)))),
% 39.77/6.04 inference(paramodulation,[],['104','17'])).
% 39.77/6.04 cnf('106', plain, (multiplication(addition(addition(X,one),Y),strong_iteration(one)) = strong_iteration(one)),
% 39.77/6.04 inference(simplify,[],['105','95'])).
% 39.77/6.04 cnf('107', plain, (multiplication(multiplication(strong_iteration(strong_iteration(X3)),Y3),strong_iteration(one)) = strong_iteration(one)),
% 39.77/6.04 inference(paramodulation,[],['35','106'])).
% 39.77/6.04 cnf('108', plain, (multiplication(strong_iteration(strong_iteration(X)),multiplication(Y,strong_iteration(one))) = strong_iteration(one)),
% 39.77/6.04 inference(simplify,[],['107','73'])).
% 39.77/6.04 cnf('109', plain, (multiplication(multiplication(multiplication(strong_iteration(X3),Y3),Z3),U3) = multiplication(strong_iteration(X3),multiplication(Y3,multiplication(Z3,U3)))),
% 39.77/6.04 inference(paramodulation,[],['20','73'])).
% 39.77/6.04 cnf('110', plain, (multiplication(strong_iteration(X),multiplication(multiplication(Y,Z),U)) = multiplication(strong_iteration(X),multiplication(Y,multiplication(Z,U)))),
% 39.77/6.04 inference(simplify,[then_simplify],['109','73','73'])).
% 39.77/6.04 cnf('111', plain, (multiplication(one,multiplication(multiplication(X3,Y3),Z3)) = multiplication(strong_iteration(zero),multiplication(X3,multiplication(Y3,Z3)))),
% 39.77/6.04 inference(paramodulation,[],['49','110'])).
% 39.77/6.04 cnf('112', plain, (multiplication(multiplication(X,Y),Z) = multiplication(X,multiplication(Y,Z))),
% 39.77/6.04 inference(simplify,[then_simplify],['111','38','49','38'])).
% 39.77/6.04 cnf('113', plain, (multiplication(strong_iteration(one),X3) = multiplication(strong_iteration(strong_iteration(Y3)),multiplication(multiplication(Z3,strong_iteration(one)),X3))),
% 39.77/6.04 inference(paramodulation,[],['108','112'])).
% 39.77/6.04 cnf('114', plain, (strong_iteration(one) = multiplication(strong_iteration(strong_iteration(X)),multiplication(multiplication(Y,strong_iteration(one)),Z))),
% 39.77/6.04 inference(simplify,[],['113','85'])).
% 39.77/6.04 cnf('115', plain, (strong_iteration(one) = multiplication(strong_iteration(strong_iteration(X3)),multiplication(multiplication(strong_iteration(Y3),multiplication(Z3,strong_iteration(one))),U3))),
% 39.77/6.04 inference(paramodulation,[],['73','114'])).
% 39.77/6.04 cnf('116', plain, (strong_iteration(one) = multiplication(strong_iteration(strong_iteration(X)),multiplication(strong_iteration(Y),multiplication(multiplication(Z,strong_iteration(one)),U)))),
% 39.77/6.04 inference(simplify,[],['115','73'])).
% 39.77/6.04 cnf('117', plain, (strong_iteration(one) = multiplication(strong_iteration(strong_iteration(X3)),multiplication(strong_iteration(Y3),multiplication(zero,Z3)))),
% 39.77/6.04 inference(paramodulation,[],['19','116'])).
% 39.77/6.04 cnf('118', plain, (strong_iteration(one) = multiplication(strong_iteration(strong_iteration(X)),multiplication(strong_iteration(Y),zero))),
% 39.77/6.04 inference(simplify,[],['117','19'])).
% 39.77/6.04 cnf('119', plain, (multiplication(Y3,Z3) = addition(multiplication(X3,Z3),multiplication(Y3,Z3)) | ~leq(X3,Y3)),
% 39.77/6.04 inference(paramodulation,[],['9','17'])).
% 39.77/6.04 cnf('120', plain, (multiplication(X,Y) = multiplication(addition(Z,X),Y) | ~leq(Z,X)),
% 39.77/6.04 inference(simplify,[],['119','17'])).
% 39.77/6.04 cnf('121', plain, (strong_iteration(strong_iteration(X3)) = addition(addition(X3,one),multiplication(strong_iteration(strong_iteration(X3)),addition(strong_iteration(X3),one)))),
% 39.77/6.04 inference(paramodulation,[],['24','35'])).
% 39.77/6.04 cnf('122', plain, (addition(strong_iteration(X),one) = strong_iteration(X)),
% 39.77/6.04 inference(paramodulation,[],['69','2'])).
% 39.77/6.04 cnf('123', plain, (strong_iteration(strong_iteration(X)) = multiplication(strong_iteration(strong_iteration(X)),strong_iteration(X))),
% 39.77/6.04 inference(simplify,[then_simplify],['121','122','35'])).
% 39.77/6.04 cnf('124', plain, (addition(X,addition(multiplication(strong_iteration(Y),X),Z)) = addition(multiplication(strong_iteration(Y),X),Z)),
% 39.77/6.04 inference(resolution,[],['27','28'])).
% 39.77/6.04 cnf('125', plain, (leq(Y3,addition(multiplication(strong_iteration(X3),Y3),Z3))),
% 39.77/6.04 inference(paramodulation,[],['124','3'])).
% 39.77/6.04 cnf('126', plain, (leq(X3,strong_iteration(strong_iteration(Y3)))),
% 39.77/6.04 inference(paramodulation,[then_simplify],['123','25','125'])).
% 39.77/6.04 cnf('127', plain, (strong_iteration(one) = multiplication(addition(X3,strong_iteration(strong_iteration(Y3))),multiplication(strong_iteration(Z3),zero))),
% 39.77/6.04 inference(paramodulation,[then_simplify],['118','120','126'])).
% 39.77/6.04 cnf('128', plain, (multiplication(addition(X,Y),multiplication(Z,U)) = multiplication(multiplication(addition(Y,X),Z),U)),
% 39.77/6.04 inference(paramodulation,[],['51','20'])).
% 39.77/6.04 cnf('129', plain, (strong_iteration(one) = multiplication(multiplication(addition(strong_iteration(strong_iteration(X)),Y),strong_iteration(Z)),zero)),
% 39.77/6.04 inference(simplify,[],['127','128'])).
% 39.77/6.04 cnf('130', plain, (strong_iteration(one) = multiplication(multiplication(addition(strong_iteration(strong_iteration(X3)),Y3),one),zero)),
% 39.77/6.04 inference(paramodulation,[],['49','129'])).
% 39.77/6.04 cnf('131', plain, (strong_iteration(one) = multiplication(addition(strong_iteration(strong_iteration(X)),Y),zero)),
% 39.77/6.04 inference(simplify,[],['130','12'])).
% 39.77/6.04 cnf('132', plain, (strong_iteration(one) = multiplication(multiplication(strong_iteration(strong_iteration(strong_iteration(strong_iteration(X3)))),Y3),zero)),
% 39.77/6.04 inference(paramodulation,[],['44','131'])).
% 39.77/6.04 cnf('133', plain, (strong_iteration(one) = multiplication(strong_iteration(strong_iteration(strong_iteration(strong_iteration(X)))),multiplication(Y,zero))),
% 39.77/6.04 inference(simplify,[],['132','73'])).
% 39.77/6.04 cnf('134', plain, (addition(strong_iteration(strong_iteration(X3)),multiplication(strong_iteration(strong_iteration(strong_iteration(strong_iteration(X3)))),multiplication(Y3,zero))) = strong_iteration(one)),
% 39.77/6.04 inference(paramodulation,[],['133','44'])).
% 39.77/6.04 cnf('135', plain, (multiplication(strong_iteration(X3),one) = addition(strong_iteration(X3),addition(X3,one))),
% 39.77/6.04 inference(paramodulation,[],['53','12'])).
% 39.77/6.04 cnf('136', plain, (strong_iteration(X) = addition(strong_iteration(X),addition(X,one))),
% 39.77/6.04 inference(simplify,[],['135','12'])).
% 39.77/6.04 cnf('137', plain, (addition(X3,addition(addition(X3,Y3),strong_iteration(addition(X3,Y3)))) = strong_iteration(addition(X3,Y3))),
% 39.77/6.04 inference(paramodulation,[],['71','42'])).
% 39.77/6.04 cnf('138', plain, (addition(X,strong_iteration(addition(X,Y))) = strong_iteration(addition(X,Y))),
% 39.77/6.04 inference(simplify,[],['137','71'])).
% 39.77/6.04 cnf('139', plain, (addition(X3,strong_iteration(addition(X3,Y3))) = strong_iteration(addition(Y3,X3))),
% 39.77/6.04 inference(paramodulation,[],['2','138'])).
% 39.77/6.04 cnf('140', plain, (strong_iteration(addition(X,Y)) = strong_iteration(addition(Y,X))),
% 39.77/6.04 inference(simplify,[],['139','138'])).
% 39.77/6.04 cnf('141', plain, (addition(strong_iteration(addition(X3,Y3)),Z3) = addition(strong_iteration(addition(Y3,X3)),addition(one,Z3))),
% 39.77/6.04 inference(paramodulation,[],['140','59'])).
% 39.77/6.04 cnf('142', plain, (addition(strong_iteration(addition(X,Y)),Z) = addition(strong_iteration(addition(Y,X)),Z)),
% 39.77/6.04 inference(simplify,[],['141','59'])).
% 39.77/6.04 cnf('143', plain, (addition(strong_iteration(addition(X3,Y3)),addition(addition(Y3,X3),one)) = strong_iteration(addition(Y3,X3))),
% 39.77/6.04 inference(paramodulation,[],['136','142'])).
% 39.77/6.04 cnf('144', plain, (addition(strong_iteration(addition(X,Y)),addition(Y,X)) = strong_iteration(addition(Y,X))),
% 39.77/6.04 inference(simplify,[],['143','66'])).
% 39.77/6.04 cnf('145', plain, (addition(X3,addition(addition(addition(X3,Y3),Z3),U3)) = addition(addition(X3,addition(Y3,Z3)),U3)),
% 39.77/6.04 inference(paramodulation,[],['40','42'])).
% 39.77/6.04 cnf('146', plain, (addition(addition(addition(X,Y),Z),U) = addition(X,addition(addition(addition(X,Y),Z),U))),
% 39.77/6.04 inference(paramodulation,[],['42','40'])).
% 39.77/6.04 cnf('147', plain, (addition(addition(addition(X,Y),Z),U) = addition(addition(X,addition(Y,Z)),U)),
% 39.77/6.04 inference(simplify,[],['145','146'])).
% 39.77/6.04 cnf('148', plain, (addition(addition(X,addition(Y,Z)),addition(addition(X,Y),Z)) = addition(addition(X,Y),Z)),
% 39.77/6.04 inference(paramodulation,[],['147','4'])).
% 39.77/6.04 cnf('149', plain, (leq(addition(X,addition(Y,Z)),addition(addition(X,Y),Z))),
% 39.77/6.04 inference(resolution,[],['148','3'])).
% 39.77/6.04 cnf('150', plain, (addition(addition(X,Y),Z) = addition(Y,Z) | ~leq(X,addition(Y,Z))),
% 39.77/6.04 inference(paramodulation,[],['5','9'])).
% 39.77/6.04 cnf('151', plain, (addition(addition(addition(X3,addition(Y3,Z3)),addition(X3,Y3)),Z3) = addition(addition(X3,Y3),Z3)),
% 39.77/6.04 inference(resolution,[],['149','150'])).
% 39.77/6.04 cnf('152', plain, (multiplication(X3,addition(addition(Y3,Z3),U3)) = addition(multiplication(X3,addition(Z3,Y3)),multiplication(X3,U3))),
% 39.77/6.04 inference(paramodulation,[],['61','13'])).
% 39.77/6.04 cnf('153', plain, (multiplication(X,addition(addition(Y,Z),U)) = multiplication(X,addition(addition(Z,Y),U))),
% 39.77/6.04 inference(simplify,[],['152','13'])).
% 39.77/6.04 cnf('154', plain, (multiplication(one,addition(addition(X3,Y3),Z3)) = addition(addition(Y3,X3),Z3)),
% 39.77/6.04 inference(paramodulation,[],['153','38'])).
% 39.77/6.04 cnf('155', plain, (addition(addition(X,Y),Z) = addition(addition(Y,X),Z)),
% 39.77/6.04 inference(simplify,[],['154','38'])).
% 39.77/6.04 cnf('156', plain, (addition(addition(X,Y),addition(X,Z)) = addition(Y,addition(X,Z))),
% 39.77/6.04 inference(paramodulation,[],['56','155'])).
% 39.77/6.04 cnf('157', plain, (addition(addition(X,Y),addition(Z,X)) = addition(Z,addition(X,Y))),
% 39.77/6.04 inference(paramodulation,[],['56','2'])).
% 39.77/6.04 cnf('158', plain, (addition(addition(X,addition(Y,Z)),Z) = addition(addition(X,Y),Z)),
% 39.77/6.04 inference(simplify,[then_simplify],['151','156','157'])).
% 39.77/6.04 cnf('159', plain, (addition(strong_iteration(addition(X3,Y3)),Y3) = addition(addition(strong_iteration(addition(Y3,X3)),X3),Y3)),
% 39.77/6.04 inference(paramodulation,[],['144','158'])).
% 39.77/6.04 cnf('160', plain, (addition(addition(strong_iteration(addition(X,Y)),Z),U) = addition(strong_iteration(addition(Y,X)),addition(Z,U))),
% 39.77/6.04 inference(paramodulation,[],['142','40'])).
% 39.77/6.04 cnf('161', plain, (addition(strong_iteration(addition(X,Y)),Y) = strong_iteration(addition(X,Y))),
% 39.77/6.04 inference(simplify,[then_simplify],['159','160','72'])).
% 39.77/6.04 cnf('162', plain, (addition(strong_iteration(addition(strong_iteration(addition(X3,Y3)),Y3)),Y3) = strong_iteration(strong_iteration(addition(X3,Y3)))),
% 39.77/6.04 inference(paramodulation,[],['161','161'])).
% 39.77/6.04 cnf('163', plain, (addition(strong_iteration(strong_iteration(addition(X,Y))),Y) = strong_iteration(strong_iteration(addition(X,Y)))),
% 39.77/6.04 inference(simplify,[],['162','161'])).
% 39.77/6.04 cnf('164', plain, (addition(addition(X3,strong_iteration(strong_iteration(addition(Y3,Z3)))),Z3) = addition(X3,strong_iteration(strong_iteration(addition(Y3,Z3))))),
% 39.77/6.04 inference(paramodulation,[],['163','40'])).
% 39.77/6.04 cnf('165', plain, (addition(X3,strong_iteration(addition(X3,strong_iteration(addition(X3,Y3))))) = strong_iteration(strong_iteration(addition(X3,Y3)))),
% 39.77/6.04 inference(paramodulation,[],['138','138'])).
% 39.77/6.04 cnf('166', plain, (addition(X,strong_iteration(strong_iteration(addition(X,Y)))) = strong_iteration(strong_iteration(addition(X,Y)))),
% 39.77/6.04 inference(simplify,[],['165','138'])).
% 39.77/6.04 cnf('167', plain, (addition(X3,strong_iteration(strong_iteration(addition(X3,Y3)))) = strong_iteration(strong_iteration(addition(Y3,X3)))),
% 39.77/6.04 inference(paramodulation,[],['2','166'])).
% 39.77/6.04 cnf('168', plain, (strong_iteration(strong_iteration(addition(X,Y))) = strong_iteration(strong_iteration(addition(Y,X)))),
% 39.77/6.04 inference(simplify,[],['167','166'])).
% 39.77/6.04 cnf('169', plain, (addition(strong_iteration(strong_iteration(addition(X3,Y3))),Z3) = addition(strong_iteration(strong_iteration(addition(Y3,X3))),addition(one,Z3))),
% 39.77/6.04 inference(paramodulation,[],['168','59'])).
% 39.77/6.04 cnf('170', plain, (addition(strong_iteration(strong_iteration(addition(X,Y))),Z) = addition(strong_iteration(strong_iteration(addition(Y,X))),Z)),
% 39.77/6.04 inference(simplify,[],['169','59'])).
% 39.77/6.04 cnf('171', plain, (addition(X3,addition(addition(X3,Y3),Z3)) = addition(Y3,Z3) | ~leq(X3,Y3)),
% 39.77/6.04 inference(paramodulation,[],['9','42'])).
% 39.77/6.04 cnf('172', plain, (addition(addition(X,Y),Z) = addition(Y,Z) | ~leq(X,Y)),
% 39.77/6.04 inference(simplify,[],['171','42'])).
% 39.77/6.04 cnf('173', plain, (X = addition(addition(Y,Z),X) | ~leq(addition(Z,Y),X)),
% 39.77/6.04 inference(paramodulation,[],['9','155'])).
% 39.77/6.04 cnf('174', plain, (multiplication(strong_iteration(strong_iteration(X)),Y) = addition(addition(one,X),multiplication(strong_iteration(strong_iteration(X)),Y))),
% 39.77/6.04 inference(resolution,[],['32','173'])).
% 39.77/6.04 cnf('175', plain, (multiplication(strong_iteration(strong_iteration(X3)),Y3) = addition(addition(addition(one,X3),Y3),multiplication(strong_iteration(strong_iteration(X3)),Y3))),
% 39.77/6.04 inference(paramodulation,[],['174','98'])).
% 39.77/6.04 cnf('176', plain, (addition(addition(X,Y),multiplication(strong_iteration(strong_iteration(Y)),Z)) = addition(X,multiplication(strong_iteration(strong_iteration(Y)),Z))),
% 39.77/6.04 inference(paramodulation,[],['44','40'])).
% 39.77/6.04 cnf('177', plain, (multiplication(strong_iteration(strong_iteration(X)),Y) = addition(one,multiplication(strong_iteration(strong_iteration(X)),Y))),
% 39.77/6.04 inference(simplify,[then_simplify],['175','98','176'])).
% 39.77/6.04 cnf('178', plain, (multiplication(strong_iteration(strong_iteration(addition(X3,Y3))),Z3) = addition(one,multiplication(strong_iteration(strong_iteration(addition(Y3,X3))),Z3))),
% 39.77/6.04 inference(paramodulation,[],['140','177'])).
% 39.77/6.04 cnf('179', plain, (multiplication(strong_iteration(strong_iteration(addition(X,Y))),Z) = multiplication(strong_iteration(strong_iteration(addition(Y,X))),Z)),
% 39.77/6.04 inference(simplify,[],['178','177'])).
% 39.77/6.04 cnf('180', plain, (addition(one,zero) = star(zero)),
% 39.77/6.04 inference(paramodulation,[],['19','83'])).
% 39.77/6.04 cnf('181', plain, (one = star(zero)),
% 39.77/6.04 inference(simplify,[],['180','47'])).
% 39.77/6.04 cnf('182', plain, (~leq(addition(multiplication(X,Y),Z),X) | leq(multiplication(Z,star(Y)),X)),
% 39.77/6.04 inference(cnf_transformation,[],['$inc_star_induction2_$sk'])).
% 39.77/6.04 cnf('183', plain, (~leq(addition(multiplication(X3,zero),Y3),X3) | leq(multiplication(Y3,one),X3)),
% 39.77/6.04 inference(paramodulation,[],['181','182'])).
% 39.77/6.04 cnf('184', plain, (~leq(addition(multiplication(X,zero),Y),X) | leq(Y,X)),
% 39.77/6.04 inference(simplify,[],['183','12'])).
% 39.77/6.04 cnf('185', plain, (leq(Z3,strong_iteration(strong_iteration(addition(Y3,X3))))),
% 39.77/6.04 inference(paramodulation,[then_simplify],['179','184','126'])).
% 39.77/6.04 cnf('186', plain, (addition(addition(X,strong_iteration(strong_iteration(addition(Y,Z)))),U) = addition(strong_iteration(strong_iteration(addition(Z,Y))),U)),
% 39.77/6.04 inference(paramodulation,[then_simplify],['170','172','185'])).
% 39.77/6.04 cnf('187', plain, (addition(strong_iteration(strong_iteration(addition(X,Y))),X) = strong_iteration(strong_iteration(addition(X,Y)))),
% 39.77/6.04 inference(paramodulation,[],['166','2'])).
% 39.77/6.04 cnf('188', plain, (strong_iteration(strong_iteration(addition(X,Y))) = addition(Z,strong_iteration(strong_iteration(addition(Y,X))))),
% 39.77/6.04 inference(simplify,[then_simplify],['164','186','187'])).
% 39.77/6.04 cnf('189', plain, (strong_iteration(strong_iteration(X3)) = addition(Y3,strong_iteration(strong_iteration(addition(X3,X3))))),
% 39.77/6.04 inference(paramodulation,[],['4','188'])).
% 39.77/6.04 cnf('190', plain, (strong_iteration(strong_iteration(X)) = addition(Y,strong_iteration(strong_iteration(X)))),
% 39.77/6.04 inference(simplify,[],['189','4'])).
% 39.77/6.04 cnf('191', plain, (strong_iteration(strong_iteration(X3)) = strong_iteration(addition(Y3,strong_iteration(strong_iteration(X3))))),
% 39.77/6.04 inference(paramodulation,[],['190','161'])).
% 39.77/6.04 cnf('192', plain, (strong_iteration(strong_iteration(X)) = strong_iteration(strong_iteration(strong_iteration(X)))),
% 39.77/6.04 inference(simplify,[],['191','190'])).
% 39.77/6.04 cnf('193', plain, (strong_iteration(one) = multiplication(addition(X3,strong_iteration(strong_iteration(strong_iteration(strong_iteration(Y3))))),multiplication(Z3,zero))),
% 39.77/6.04 inference(paramodulation,[then_simplify],['133','120','126'])).
% 39.77/6.04 cnf('194', plain, (strong_iteration(one) = multiplication(multiplication(addition(strong_iteration(strong_iteration(strong_iteration(strong_iteration(X)))),Y),Z),zero)),
% 39.77/6.04 inference(simplify,[],['193','128'])).
% 39.77/6.04 cnf('195', plain, (strong_iteration(one) = multiplication(multiplication(strong_iteration(strong_iteration(X3)),Y3),zero)),
% 39.77/6.04 inference(paramodulation,[],['190','194'])).
% 39.77/6.04 cnf('196', plain, (strong_iteration(one) = multiplication(strong_iteration(strong_iteration(X)),multiplication(Y,zero))),
% 39.77/6.04 inference(simplify,[],['195','73'])).
% 39.77/6.04 cnf('197', plain, (addition(strong_iteration(strong_iteration(X)),Y) = strong_iteration(strong_iteration(X))),
% 39.77/6.04 inference(paramodulation,[],['190','2'])).
% 39.77/6.04 cnf('198', plain, (strong_iteration(strong_iteration(X)) = strong_iteration(one)),
% 39.77/6.04 inference(simplify,[then_simplify],['134','192','192','196','197'])).
% 39.77/6.04 cnf('199', plain, (strong_iteration(strong_iteration($sk1)) != strong_iteration(one)),
% 39.77/6.04 inference(cnf_transformation,[],['goals_$sk'])).
% 39.77/6.04 cnf('200', plain, ($false),
% 39.77/6.04 inference(resolution,[],['198','199'])).
% 39.77/6.04
% 39.77/6.04 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.77/6.04
% 39.77/6.04 run 128 fork 7 statistics:
% 39.77/6.04 ----------------------------------
% 39.77/6.04 this run seconds: 0.818399
% 39.77/6.04 total seconds: 5.506575
% 39.77/6.04 stat_given_used: 1040
% 39.77/6.04 stat_given_used_at_endgame: 0
% 39.77/6.04 stat_given_candidates: 9501
% 39.77/6.04 stat_given_candidates_at_endgame: 0
% 39.77/6.04 stat_given_candidates_h: 0
% 39.77/6.04 stat_binres_derived_cl: 3949
% 39.77/6.04 stat_binres_derived_cl_h: 0
% 39.77/6.04 stat_factor_derived_cl: 1
% 39.77/6.04 stat_para_derived_cl: 82206
% 39.77/6.04 stat_tautologies_discarded: 30
% 39.77/6.04 stat_forward_subsumed: 10601
% 39.77/6.04 stat_derived_cut: 123
% 39.77/6.04 stat_derived_rewritten: 1486
% 39.77/6.04 stat_weight_discarded_building: 0
% 39.77/6.04 stat_weight_discarded_cl: 62627
% 39.77/6.04 stat_internlimit_discarded_cl: 0
% 39.77/6.04 stat_simplified: 1489 simplified 0 derived 0 given
% 39.77/6.04 stat_kept_cl: 10879
% 39.77/6.04 stat_built_cl: 77075
% 39.77/6.04 stat_hyperres_partial_cl: 0
% 39.77/6.04 stat_made_rewriters: 630
% 39.77/6.04 stat_backward_subsumed: 0
% 39.77/6.04 stat_propagated_subsumed: 0
% 39.77/6.04 stat_clsubs_attempted: 54693
% 39.77/6.04 stat_clsubs_fact_groundunit_found: 2
% 39.77/6.04 stat_clsubs_rule_groundunit_found: 1
% 39.77/6.04 stat_clsubs_top_meta_attempted: 845577
% 39.77/6.04 stat_clsubs_top_meta_failed: 790884
% 39.77/6.04 stat_clsubs_top_meta_nonpref_attempted: 845577
% 39.77/6.04 stat_clsubs_top_meta_nonpref_succeeded: 323056
% 39.77/6.04 stat_clsubs_top_meta_pref_attempted: 323056
% 39.77/6.04 stat_clsubs_top_meta_pref1_succeeded: 273345
% 39.77/6.04 stat_clsubs_top_meta_pref2_succeeded: 84257
% 39.77/6.04 stat_clsubs_top_meta_pref3_succeeded: 54693
% 39.77/6.04 stat_clsubs_top_meta_pref_succeeded: 54693
% 39.77/6.04 stat_clsubs_meta_attempted: 57893
% 39.77/6.04 stat_clsubs_meta_failed: 8060
% 39.77/6.04 stat_clsubs_predsymbs_attempted: 0
% 39.77/6.04 stat_clsubs_unit_attempted: 51823
% 39.77/6.04 stat_clsubs_full_attempted: 2870
% 39.77/6.04 stat_forwardsubs_attempted: 84107
% 39.77/6.04 stat_lit_hash_added: 12170
% 39.77/6.04 stat_lit_hash_computed: 104075
% 39.77/6.04 stat_lit_hash_match_found: 10913
% 39.77/6.04 stat_lit_hash_match_miss: 160513
% 39.77/6.04 stat_lit_hash_cut_ok: 38
% 39.77/6.04 stat_lit_strong_cut_ok: 91
% 39.77/6.04 stat_lit_hash_subsume_ok: 10601
% 39.77/6.04 clqueue els 10000000 used 1
% 39.77/6.04 clactive els 10000000 used 1041
% 39.77/6.04 clactivesubsume els 10000000 used 6169
% 39.77/6.04 queue_termbuf els 200000000 used 1026113
% 39.77/6.04 hyper_termbuf els 100000000 used 1
% 39.77/6.04 active_termbuf els 100000000 used 59062
% 39.77/6.04 varstack els 5000 last used 1
% 39.77/6.04 given_termbuf els 10000000 last used 32
% 39.77/6.04 simplified_termbuf els 10000000 last used 1
% 39.77/6.04 derived_termbuf els 10000000 last used 3
% 39.77/6.04 wr_mallocs: 48203
% 39.77/6.04 wr_callocs: 21
% 39.77/6.04 wr_reallocs: 2108
% 39.77/6.04 wr_frees: 2
% 39.77/6.04 wr_malloc_bytes: 4164270932
% 39.77/6.04 wr_calloc_bytes: 112065536
% 39.77/6.04 wr_realloc_bytes: 403696
% 39.77/6.04 wr_realloc_freebytes: 0
% 39.77/6.04 ----------------------------------
%------------------------------------------------------------------------------