TSTP Solution File: GRA004+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRA004+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:02:50 EDT 2023
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRA004+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 03:48:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.39
% 0.19/0.39 input clause set summed statistics:
% 0.19/0.39 ----------------------------------
% 0.19/0.39 in_clause_count: 74
% 0.19/0.39 in_rule_clause_count: 72
% 0.19/0.39 in_fact_clause_count: 2
% 0.19/0.39 in_answer_clause_count: 0
% 0.19/0.39 in_ground_clause_count: 4
% 0.19/0.39 in_unit_clause_count: 3
% 0.19/0.39 in_horn_clause_count: 50
% 0.19/0.39 in_pos_clause_count: 5
% 0.19/0.39 in_neg_clause_count: 7
% 0.19/0.39 in_poseq_clause_count: 31
% 0.19/0.39 in_negeq_clause_count: 17
% 0.19/0.39 in_unitposeq_clause_count: 0
% 0.19/0.39 in_chain_clause_count: 0
% 0.19/0.39 in_min_length: 1
% 0.19/0.39 in_max_length: 8
% 0.19/0.39 in_min_depth: 1
% 0.19/0.39 in_max_depth: 3
% 0.19/0.39 in_min_size: 4
% 0.19/0.39 in_max_size: 35
% 0.19/0.39 in_min_vars: 0
% 0.19/0.39 in_max_vars: 6
% 0.19/0.39 in_extaxiom_count: 56
% 0.19/0.39 in_axiom_count: 14
% 0.19/0.39 in_assumption_count: 0
% 0.19/0.39 in_goal_count: 4
% 0.19/0.39 in_neg_goal_count: 0
% 0.19/0.39 in_pos_goal_count: 4
% 0.19/0.39 in_posunit_goal_count: 2
% 0.19/0.39
% 0.19/0.39 auto guide:
% 0.19/0.39 -----------
% 0.19/0.39 {
% 0.19/0.39 "print":1,
% 0.19/0.39 "print_level": 15,
% 0.19/0.39 "max_size": 0,
% 0.19/0.39 "max_depth": 0,
% 0.19/0.39 "max_length": 0,
% 0.19/0.39 "max_dseconds": 0,
% 0.19/0.39 "runs":[
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.19/0.39
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.19/0.39 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.19/0.39
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.39 {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.19/0.39 {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39 {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.19/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1}
% 0.19/0.39
% 0.19/0.39 ]}
% 0.19/0.39
% 0.19/0.39
% 0.19/0.39 **** run 1 fork 0 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.19/0.39
% 0.19/0.39 **** run 2 fork 1 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.39
% 0.19/0.39 **** run 3 fork 2 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.39
% 0.19/0.39 **** run 4 fork 3 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.39
% 0.19/0.39 **** run 5 fork 4 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39
% 0.19/0.39 **** run 6 fork 5 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39
% 0.19/0.39 **** run 8 fork 7 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.39
% 0.19/0.39 **** run 7 fork 6 starts with strategy
% 0.19/0.39 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.44
% 0.19/0.44 fork 3: search finished without proof.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 result: proof found
% 0.19/0.45 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 by run 8 fork 7 strategy {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45
% 0.19/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 fof('$inc_precedes_defn_$sk', plain, ((precedes(X5,X4,X3) | (((~precedes(X6,X4,X3) | ~sequential(X5,X6)) & ~sequential(X5,X4)) | (~on_path(X4,X3) | ~on_path(X5,X3)))) | ~path(X1,X2,X3)),
% 0.19/0.45 inference(negpush_and_skolemize,[],['$inc_precedes_defn'])).
% 0.19/0.45 fof('$inc_precedes_defn', axiom, (! [P,V1,V2] : (path(V1,V2,P) => (! [E1,E2] : (((on_path(E1,P) & on_path(E2,P)) & (sequential(E1,E2) | (? [E3] : (sequential(E1,E3) & precedes(E3,E2,P))))) => precedes(E1,E2,P))))),
% 0.19/0.45 input).
% 0.19/0.45 fof('$inc_shortest_path_properties_$sk', plain, ((~precedes(X5,X4,X3) & (~(head_of(X6) = head_of(X5)) | ~(tail_of(X6) = tail_of(X4)))) | (~precedes(X4,X5,X3) | ~shortest_path(X2,X1,X3))),
% 0.19/0.45 inference(negpush_and_skolemize,[],['$inc_shortest_path_properties'])).
% 0.19/0.45 fof('$inc_shortest_path_properties', axiom, (! [V1,V2,E1,E2,P] : ((shortest_path(V1,V2,P) & precedes(E1,E2,P)) => (~(? [E3] : ((tail_of(E3) = tail_of(E1)) & (head_of(E3) = head_of(E2)))) & ~precedes(E2,E1,P)))),
% 0.19/0.45 input).
% 0.19/0.45 fof('shortest_path_properties_lemma_$sk', plain, (((head_of($sk5) = head_of($sk4)) | ((head_of($sk5) = tail_of($sk4)) | ((head_of($sk6) = head_of($sk5)) & (tail_of($sk6) = tail_of($sk4))))) & (precedes($sk4,$sk5,$sk1) & shortest_path($sk3,$sk2,$sk1))),
% 0.19/0.45 inference(negpush_and_skolemize,[],['shortest_path_properties_lemma'])).
% 0.19/0.45 fof('shortest_path_properties_lemma', conjecture, (! [V1,V2,E1,E2,P] : ((shortest_path(V1,V2,P) & precedes(E1,E2,P)) => ((~(? [E3] : ((tail_of(E3) = tail_of(E1)) & (head_of(E3) = head_of(E2)))) & ~(head_of(E2) = tail_of(E1))) & ~(head_of(E2) = head_of(E1))))),
% 0.19/0.45 input).
% 0.19/0.45 fof('$inc_precedes_properties_$sk', plain, (((((sequential(X5,X4) & (~precedes(X6,X4,X3) | ~sequential(X5,X6))) | (~sequential(X5,X4) & (precedes($sk10(X1,X2,X3,X4,X5),X4,X3) & sequential(X5,$sk10(X1,X2,X3,X4,X5))))) & (on_path(X4,X3) & on_path(X5,X3))) | ~precedes(X5,X4,X3)) | ~path(X1,X2,X3)),
% 0.19/0.45 inference(negpush_and_skolemize,[],['$inc_precedes_properties'])).
% 0.19/0.45 fof('$inc_precedes_properties', axiom, (! [P,V1,V2] : (path(V1,V2,P) => (! [E1,E2] : (precedes(E1,E2,P) => ((on_path(E1,P) & on_path(E2,P)) & ~(sequential(E1,E2) <=> (? [E3] : (sequential(E1,E3) & precedes(E3,E2,P))))))))),
% 0.19/0.45 input).
% 0.19/0.45 fof('$inc_shortest_path_defn_$sk', plain, ((~shortest_path(X3,X2,X1) | ((less_or_equal(length_of(X1),length_of(X4)) | ~path(X3,X2,X4)) & (~(X3 = X2) & path(X3,X2,X1)))) & (shortest_path(X7,X6,X5) | ((~less_or_equal(length_of(X5),length_of($sk9(X5,X6,X7))) & path(X7,X6,$sk9(X5,X6,X7))) | ((X7 = X6) | ~path(X7,X6,X5))))),
% 0.19/0.45 inference(negpush_and_skolemize,[],['$inc_shortest_path_defn'])).
% 0.19/0.45 fof('$inc_shortest_path_defn', axiom, (! [V1,V2,SP] : (shortest_path(V1,V2,SP) <=> ((path(V1,V2,SP) & ~(V1 = V2)) & (! [P] : (path(V1,V2,P) => less_or_equal(length_of(SP),length_of(P))))))),
% 0.19/0.45 input).
% 0.19/0.45 fof('$inc_sequential_defn_$sk', plain, ((~sequential(X2,X1) | ((head_of(X2) = tail_of(X1)) & (~(X2 = X1) & (edge(X1) & edge(X2))))) & (sequential(X4,X3) | (~(head_of(X4) = tail_of(X3)) | ((X4 = X3) | (~edge(X3) | ~edge(X4)))))),
% 0.19/0.45 inference(negpush_and_skolemize,[],['$inc_sequential_defn'])).
% 0.19/0.45 fof('$inc_sequential_defn', axiom, (! [E1,E2] : (sequential(E1,E2) <=> (((edge(E1) & edge(E2)) & ~(E1 = E2)) & (head_of(E1) = tail_of(E2))))),
% 0.19/0.45 input).
% 0.19/0.45 fof('$inc_on_path_properties_$sk', plain, ((in_path(tail_of(X4),X3) & (in_path(head_of(X4),X3) & edge(X4))) | (~on_path(X4,X3) | ~path(X2,X1,X3))),
% 0.19/0.45 inference(negpush_and_skolemize,[],['$inc_on_path_properties'])).
% 0.19/0.45 fof('$inc_on_path_properties', axiom, (! [V1,V2,P,E] : ((path(V1,V2,P) & on_path(E,P)) => ((edge(E) & in_path(head_of(E),P)) & in_path(tail_of(E),P)))),
% 0.19/0.45 input).
% 0.19/0.45 fof('$inc_no_loops_$sk', plain, (~(head_of(X1) = tail_of(X1)) | ~edge(X1)),
% 0.19/0.45 inference(negpush_and_skolemize,[],['$inc_no_loops'])).
% 0.19/0.45 fof('$inc_no_loops', axiom, (! [E] : (edge(E) => ~(head_of(E) = tail_of(E)))),
% 0.19/0.45 input).
% 0.19/0.45 cnf('1', plain, (~path(X,Y,Z) | precedes(U,V,Z) | ~sequential(U,V) | ~on_path(V,Z) | ~on_path(U,Z)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_precedes_defn_$sk'])).
% 0.19/0.45 cnf('2', plain, (~shortest_path(X,Y,Z) | ~precedes(U,V,Z) | ~precedes(V,U,Z)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_shortest_path_properties_$sk'])).
% 0.19/0.45 cnf('3', plain, (precedes($sk4,$sk5,$sk1)),
% 0.19/0.45 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])).
% 0.19/0.45 cnf('4', plain, (shortest_path($sk3,$sk2,$sk1)),
% 0.19/0.45 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])).
% 0.19/0.45 cnf('5', plain, (~precedes($sk5,$sk4,$sk1)),
% 0.19/0.45 inference(resolution,[then_simplify],['2','3','4'])).
% 0.19/0.45 cnf('6', plain, (~precedes(X,Y,Z) | ~path(U,V,Z) | on_path(X,Z)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_precedes_properties_$sk'])).
% 0.19/0.45 cnf('7', plain, (~shortest_path(X,Y,Z) | path(X,Y,Z)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_shortest_path_defn_$sk'])).
% 0.19/0.45 cnf('8', plain, (shortest_path($sk3,$sk2,$sk1)),
% 0.19/0.45 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])).
% 0.19/0.45 cnf('9', plain, (path($sk3,$sk2,$sk1)),
% 0.19/0.45 inference(resolution,[],['7','8'])).
% 0.19/0.45 cnf('10', plain, (on_path($sk4,$sk1)),
% 0.19/0.45 inference(resolution,[then_simplify],['6','3','9'])).
% 0.19/0.45 cnf('11', plain, (~precedes(X,Y,Z) | ~path(U,V,Z) | on_path(Y,Z)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_precedes_properties_$sk'])).
% 0.19/0.45 cnf('12', plain, (on_path($sk5,$sk1)),
% 0.19/0.45 inference(resolution,[then_simplify],['11','3','9'])).
% 0.19/0.45 cnf('13', plain, (~sequential($sk5,$sk4)),
% 0.19/0.45 inference(resolution,[then_simplify],['1','5','10','12','9'])).
% 0.19/0.45 cnf('14', plain, (head_of(X) != tail_of(Y) | sequential(X,Y) | X = Y | ~edge(Y) | ~edge(X)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_sequential_defn_$sk'])).
% 0.19/0.45 cnf('15', plain, (on_path($sk4,$sk1)),
% 0.19/0.45 inference(resolution,[then_simplify],['6','3','9'])).
% 0.19/0.45 cnf('16', plain, (~path(X,Y,Z) | ~on_path(U,Z) | edge(U)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_on_path_properties_$sk'])).
% 0.19/0.45 cnf('17', plain, (path($sk3,$sk2,$sk1)),
% 0.19/0.45 inference(resolution,[],['7','8'])).
% 0.19/0.45 cnf('18', plain, (~on_path(X,$sk1) | edge(X)),
% 0.19/0.45 inference(resolution,[],['16','17'])).
% 0.19/0.45 cnf('19', plain, (edge($sk4)),
% 0.19/0.45 inference(resolution,[],['15','18'])).
% 0.19/0.45 cnf('20', plain, (on_path($sk5,$sk1)),
% 0.19/0.45 inference(resolution,[then_simplify],['11','3','9'])).
% 0.19/0.45 cnf('21', plain, (edge($sk5)),
% 0.19/0.45 inference(resolution,[],['20','18'])).
% 0.19/0.45 cnf('22', plain, (head_of($sk5) != tail_of($sk4) | $sk5 = $sk4),
% 0.19/0.45 inference(resolution,[then_simplify],['13','14','19','21'])).
% 0.19/0.45 cnf('23', plain, (edge($sk5)),
% 0.19/0.45 inference(resolution,[],['20','18'])).
% 0.19/0.45 cnf('24', plain, (head_of(X) != tail_of(X) | ~edge(X)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_no_loops_$sk'])).
% 0.19/0.45 cnf('25', plain, (head_of($sk5) != tail_of($sk5)),
% 0.19/0.45 inference(resolution,[],['23','24'])).
% 0.19/0.45 cnf('26', plain, (head_of($sk5) != tail_of($sk4)),
% 0.19/0.45 inference(paramodulation,[],['22','25'])).
% 0.19/0.45 cnf('27', plain, (head_of($sk5) = head_of($sk4) | head_of($sk5) = tail_of($sk4) | tail_of($sk6) = tail_of($sk4)),
% 0.19/0.45 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])).
% 0.19/0.45 cnf('28', plain, (head_of($sk5) = head_of($sk4) | tail_of($sk6) = tail_of($sk4)),
% 0.19/0.45 inference(resolution,[],['26','27'])).
% 0.19/0.45 cnf('29', plain, (tail_of(X) != tail_of(Y) | head_of(X) != head_of(Z) | ~shortest_path(U,V,W) | ~precedes(Y,Z,W)),
% 0.19/0.45 inference(cnf_transformation,[],['$inc_shortest_path_properties_$sk'])).
% 0.19/0.45 cnf('30', plain, (head_of(X) != head_of(Y) | ~shortest_path(Z,U,V) | ~precedes(X,Y,V)),
% 0.19/0.45 inference(reflexivity,[],['29'])).
% 0.19/0.45 cnf('31', plain, (head_of($sk4) != head_of($sk5)),
% 0.19/0.45 inference(resolution,[then_simplify],['30','3','4'])).
% 0.19/0.45 cnf('32', plain, (tail_of($sk6) = tail_of($sk4)),
% 0.19/0.45 inference(paramodulation,[],['28','31'])).
% 0.19/0.45 cnf('33', plain, (head_of($sk6) != head_of(X3) | ~precedes($sk4,X3,U3) | ~shortest_path(Y3,Z3,U3)),
% 0.19/0.45 inference(resolution,[],['32','29'])).
% 0.19/0.45 cnf('34', plain, (head_of($sk5) = head_of($sk4) | head_of($sk5) = tail_of($sk4) | head_of($sk6) = head_of($sk5)),
% 0.19/0.45 inference(cnf_transformation,[],['shortest_path_properties_lemma_$sk'])).
% 0.19/0.45 cnf('35', plain, (head_of($sk5) = head_of($sk4) | head_of($sk6) = head_of($sk5)),
% 0.19/0.45 inference(resolution,[],['26','34'])).
% 0.19/0.45 cnf('36', plain, (head_of($sk6) = head_of($sk5)),
% 0.19/0.45 inference(paramodulation,[],['35','31'])).
% 0.19/0.45 cnf('37', plain, (head_of($sk5) != head_of(X) | ~precedes($sk4,X,Y) | ~shortest_path(Z,U,Y)),
% 0.19/0.45 inference(simplify,[],['33','36'])).
% 0.19/0.45 cnf('38', plain, ($false),
% 0.19/0.45 inference(resolution,[then_simplify],['37','3','4'])).
% 0.19/0.45
% 0.19/0.45 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45
% 0.19/0.45 run 8 fork 7 statistics:
% 0.19/0.45 ----------------------------------
% 0.19/0.45 this run seconds: 0.023704
% 0.19/0.45 total seconds: 0.046886
% 0.19/0.45 stat_given_used: 229
% 0.19/0.45 stat_given_used_at_endgame: 0
% 0.19/0.45 stat_given_candidates: 305
% 0.19/0.45 stat_given_candidates_at_endgame: 0
% 0.19/0.45 stat_given_candidates_h: 0
% 0.19/0.45 stat_binres_derived_cl: 462
% 0.19/0.45 stat_binres_derived_cl_h: 0
% 0.19/0.45 stat_factor_derived_cl: 28
% 0.19/0.45 stat_para_derived_cl: 204
% 0.19/0.45 stat_tautologies_discarded: 0
% 0.19/0.45 stat_forward_subsumed: 152
% 0.19/0.45 stat_derived_cut: 46
% 0.19/0.45 stat_derived_rewritten: 11
% 0.19/0.45 stat_weight_discarded_building: 0
% 0.19/0.45 stat_weight_discarded_cl: 0
% 0.19/0.45 stat_internlimit_discarded_cl: 0
% 0.19/0.45 stat_simplified: 19 simplified 0 derived 0 given
% 0.19/0.45 stat_kept_cl: 520
% 0.19/0.45 stat_built_cl: 997
% 0.19/0.45 stat_hyperres_partial_cl: 0
% 0.19/0.45 stat_made_rewriters: 5
% 0.19/0.45 stat_backward_subsumed: 0
% 0.19/0.45 stat_propagated_subsumed: 0
% 0.19/0.45 stat_clsubs_attempted: 401
% 0.19/0.45 stat_clsubs_fact_groundunit_found: 2
% 0.19/0.45 stat_clsubs_rule_groundunit_found: 0
% 0.19/0.45 stat_clsubs_top_meta_attempted: 19738
% 0.19/0.45 stat_clsubs_top_meta_failed: 19337
% 0.19/0.45 stat_clsubs_top_meta_nonpref_attempted: 19738
% 0.19/0.45 stat_clsubs_top_meta_nonpref_succeeded: 7327
% 0.19/0.45 stat_clsubs_top_meta_pref_attempted: 7327
% 0.19/0.45 stat_clsubs_top_meta_pref1_succeeded: 932
% 0.19/0.45 stat_clsubs_top_meta_pref2_succeeded: 603
% 0.19/0.45 stat_clsubs_top_meta_pref3_succeeded: 401
% 0.19/0.45 stat_clsubs_top_meta_pref_succeeded: 401
% 0.19/0.45 stat_clsubs_meta_attempted: 1051
% 0.19/0.45 stat_clsubs_meta_failed: 457
% 0.19/0.45 stat_clsubs_predsymbs_attempted: 0
% 0.19/0.45 stat_clsubs_unit_attempted: 124
% 0.19/0.45 stat_clsubs_full_attempted: 277
% 0.19/0.45 stat_forwardsubs_attempted: 673
% 0.19/0.45 stat_lit_hash_added: 385
% 0.19/0.45 stat_lit_hash_computed: 4596
% 0.19/0.45 stat_lit_hash_match_found: 203
% 0.19/0.45 stat_lit_hash_match_miss: 6029
% 0.19/0.45 stat_lit_hash_cut_ok: 52
% 0.19/0.45 stat_lit_strong_cut_ok: 15
% 0.19/0.45 stat_lit_hash_subsume_ok: 152
% 0.19/0.45 clqueue els 10000000 used 1
% 0.19/0.45 clactive els 10000000 used 230
% 0.19/0.45 clactivesubsume els 10000000 used 1003
% 0.19/0.45 queue_termbuf els 200000000 used 33672
% 0.19/0.45 hyper_termbuf els 100000000 used 1
% 0.19/0.45 active_termbuf els 100000000 used 7820
% 0.19/0.45 varstack els 5000 last used 1
% 0.19/0.45 given_termbuf els 10000000 last used 1
% 0.19/0.45 simplified_termbuf els 10000000 last used 1
% 0.19/0.45 derived_termbuf els 10000000 last used 44
% 0.19/0.45 wr_mallocs: 2991
% 0.19/0.45 wr_callocs: 21
% 0.19/0.45 wr_reallocs: 87
% 0.19/0.45 wr_frees: 2
% 0.19/0.45 wr_malloc_bytes: 4162681156
% 0.19/0.45 wr_calloc_bytes: 112065536
% 0.19/0.45 wr_realloc_bytes: 12048
% 0.19/0.45 wr_realloc_freebytes: 0
% 0.19/0.45 ----------------------------------
%------------------------------------------------------------------------------