%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRA002+2 : 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 00:02:49 EDT 2023
% Result : Theorem 23.99s 3.62s
% Output : CNFRefutation 23.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRA002+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.14 % Command : gkc %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 03:30:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.39
% 0.21/0.39 input clause set summed statistics:
% 0.21/0.39 ----------------------------------
% 0.21/0.39 in_clause_count: 76
% 0.21/0.39 in_rule_clause_count: 75
% 0.21/0.39 in_fact_clause_count: 1
% 0.21/0.39 in_answer_clause_count: 0
% 0.21/0.39 in_ground_clause_count: 3
% 0.21/0.39 in_unit_clause_count: 4
% 0.21/0.39 in_horn_clause_count: 54
% 0.21/0.39 in_pos_clause_count: 3
% 0.21/0.39 in_neg_clause_count: 8
% 0.21/0.39 in_poseq_clause_count: 31
% 0.21/0.39 in_negeq_clause_count: 17
% 0.21/0.39 in_unitposeq_clause_count: 0
% 0.21/0.39 in_chain_clause_count: 0
% 0.21/0.39 in_min_length: 1
% 0.21/0.39 in_max_length: 8
% 0.21/0.39 in_min_depth: 1
% 0.21/0.39 in_max_depth: 3
% 0.21/0.39 in_min_size: 2
% 0.21/0.39 in_max_size: 35
% 0.21/0.39 in_min_vars: 0
% 0.21/0.39 in_max_vars: 6
% 0.21/0.39 in_extaxiom_count: 56
% 0.21/0.39 in_axiom_count: 17
% 0.21/0.39 in_assumption_count: 0
% 0.21/0.39 in_goal_count: 3
% 0.21/0.39 in_neg_goal_count: 1
% 0.21/0.39 in_pos_goal_count: 2
% 0.21/0.39 in_posunit_goal_count: 2
% 0.21/0.39
% 0.21/0.39 auto guide:
% 0.21/0.39 -----------
% 0.21/0.39 {
% 0.21/0.39 "print":1,
% 0.21/0.39 "print_level": 15,
% 0.21/0.39 "max_size": 0,
% 0.21/0.39 "max_depth": 0,
% 0.21/0.39 "max_length": 0,
% 0.21/0.39 "max_dseconds": 0,
% 0.21/0.39 "runs":[
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.40 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.40 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.40 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.40 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.40 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.40 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.40 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.40 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.40 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.21/0.40 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.40 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.40 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.40 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.40 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.40 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.40 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.40 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.40 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.21/0.40
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.40 {"max_dseconds":10, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.40 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":10},
% 0.21/0.40 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.40 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
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% 14.03/2.25
% 14.03/2.25 **** run 113 fork 0 starts with strategy
% 14.03/2.25 {"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}
% 14.03/2.25 {"max_dseconds":10,"strategy":["unit"],"query_preference":1}
% 14.03/2.25
% 14.03/2.25 fork 7: search finished without proof.
% 14.03/2.27
% 14.03/2.27 fork 4: search finished without proof.
% 14.03/2.27
% 14.03/2.27 **** run 120 fork 7 starts with strategy
% 14.03/2.27 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
% 14.03/2.27
% 14.03/2.27 fork 2: search finished without proof.
% 14.81/2.28
% 14.81/2.28 **** run 125 fork 4 starts with strategy
% 14.81/2.28 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 14.81/2.29
% 14.81/2.29 **** run 107 fork 2 starts with strategy
% 14.81/2.29 {"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}
% 14.81/2.29
% 14.81/2.29
% 14.81/2.29 fork 3: search terminated without proof.
% 15.00/2.30
% 15.00/2.30 fork 1: search finished without proof.
% 15.00/2.31
% 15.00/2.31 **** run 116 fork 3 starts with strategy
% 15.00/2.31 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 15.00/2.32
% 15.00/2.32
% 15.00/2.32 fork 6: search terminated without proof.
% 15.16/2.32
% 15.16/2.32 **** run 106 fork 1 starts with strategy
% 15.16/2.32 {"rewrite":0,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","hornpref"],"max_dseconds":1}
% 15.16/2.34
% 15.16/2.34 **** run 119 fork 6 starts with strategy
% 15.16/2.34 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 15.16/2.38
% 15.16/2.38
% 15.16/2.38 fork 0: search terminated without proof.
% 15.16/2.40
% 15.16/2.40 **** run 121 fork 0 starts with strategy
% 15.16/2.40 {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 15.16/2.41
% 15.16/2.41
% 15.16/2.41 fork 2: search terminated without proof.
% 15.95/2.43
% 15.95/2.43 fork 0: search finished without proof.
% 15.95/2.43
% 15.95/2.43
% 15.95/2.43 fork 3: search terminated without proof.
% 15.95/2.43
% 15.95/2.43 **** run 115 fork 2 starts with strategy
% 15.95/2.43 {"sine":2,"query_preference":0,"strategy":["unit"],"max_dseconds":1}
% 15.95/2.45
% 15.95/2.45
% 15.95/2.45 fork 1: search terminated without proof.
% 15.95/2.45
% 15.95/2.45 **** run 129 fork 0 starts with strategy
% 15.95/2.45 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":1}
% 15.95/2.45
% 15.95/2.45 **** run 124 fork 3 starts with strategy
% 15.95/2.45 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 15.95/2.47
% 15.95/2.47 **** run 114 fork 1 starts with strategy
% 15.95/2.47 {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":1}
% 15.95/2.47
% 15.95/2.47 fork 2: search finished without proof.
% 15.95/2.49
% 15.95/2.49 **** run 123 fork 2 starts with strategy
% 15.95/2.49 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 17.23/2.59
% 17.23/2.59
% 17.23/2.59 fork 1: search terminated without proof.
% 17.39/2.60
% 17.39/2.60 **** run 122 fork 1 starts with strategy
% 17.39/2.60 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 21.85/3.27
% 21.85/3.27
% 21.85/3.27 fork 5: search terminated without proof.
% 21.85/3.29
% 21.85/3.29 **** run 126 fork 5 starts with strategy
% 21.85/3.29 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 21.85/3.30
% 21.85/3.30
% 21.85/3.30 fork 4: search terminated without proof.
% 21.85/3.31
% 21.85/3.31
% 21.85/3.31 fork 7: search terminated without proof.
% 22.48/3.33
% 22.48/3.33 **** run 133 fork 4 starts with strategy
% 22.48/3.33 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 22.48/3.33
% 22.48/3.33 **** run 128 fork 7 starts with strategy
% 22.48/3.33 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0}
% 22.48/3.38
% 22.48/3.38
% 22.48/3.38 fork 6: search terminated without proof.
% 22.94/3.40
% 22.94/3.40 **** run 127 fork 6 starts with strategy
% 22.94/3.40 {"max_dseconds":10,"strategy":["unit"],"query_preference":0}
% 22.94/3.47
% 22.94/3.47
% 22.94/3.47 fork 0: search terminated without proof.
% 23.41/3.49
% 23.41/3.49 **** run 137 fork 0 starts with strategy
% 23.41/3.49 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 23.99/3.62
% 23.99/3.62
% 23.99/3.62 result: proof found
% 23.99/3.62 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.99/3.62 by run 123 fork 2 strategy {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 23.99/3.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.99/3.62
% 23.99/3.62 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.99/3.62 fof('sequential_pairs_and_triangles_$sk', plain, ((number_of_in(sequential_pairs,X3) = number_of_in(triangles,X3)) | ((~triangle($sk6(X1,X2,X3),$sk5(X1,X2,X3),X4) & (sequential($sk6(X1,X2,X3),$sk5(X1,X2,X3)) & (on_path($sk5(X1,X2,X3),X3) & on_path($sk6(X1,X2,X3),X3)))) | ~path(X2,X1,X3))),
% 23.99/3.62 inference(negpush_and_skolemize,[],['sequential_pairs_and_triangles'])).
% 23.99/3.62 fof('sequential_pairs_and_triangles', axiom, (! [P,V1,V2] : ((path(V1,V2,P) & (! [E1,E2] : (((on_path(E1,P) & on_path(E2,P)) & sequential(E1,E2)) => (? [E3] : triangle(E1,E2,E3))))) => (number_of_in(sequential_pairs,P) = number_of_in(triangles,P)))),
% 23.99/3.62 input).
% 23.99/3.62 fof('path_length_sequential_pairs_$sk', plain, ((number_of_in(sequential_pairs,X3) = minus(length_of(X3),n1)) | ~path(X1,X2,X3)),
% 23.99/3.62 inference(negpush_and_skolemize,[],['path_length_sequential_pairs'])).
% 23.99/3.62 fof('path_length_sequential_pairs', axiom, (! [V1,V2,P] : (path(V1,V2,P) => (number_of_in(sequential_pairs,P) = minus(length_of(P),n1)))),
% 23.99/3.62 input).
% 23.99/3.62 fof('maximal_path_length_$sk', plain, ((~less_or_equal(minus(length_of($sk3),n1),number_of_in(triangles,graph)) & shortest_path($sk1,$sk2,$sk3)) & complete),
% 23.99/3.62 inference(negpush_and_skolemize,[],['maximal_path_length'])).
% 23.99/3.62 fof('maximal_path_length', conjecture, (complete => (! [P,V1,V2] : (shortest_path(V1,V2,P) => less_or_equal(minus(length_of(P),n1),number_of_in(triangles,graph))))),
% 23.99/3.62 input).
% 23.99/3.62 fof('$inc_shortest_path_defn_$sk', plain, ((~shortest_path(X3,X2,X1) | ((less_or_equal(length_of(X1),length_of(X4)) | ~path(X3,X2,X4)) & (~(X3 = X2) & path(X3,X2,X1)))) & (shortest_path(X7,X6,X5) | ((~less_or_equal(length_of(X5),length_of($sk7(X5,X6,X7))) & path(X7,X6,$sk7(X5,X6,X7))) | ((X7 = X6) | ~path(X7,X6,X5))))),
% 23.99/3.62 inference(negpush_and_skolemize,[],['$inc_shortest_path_defn'])).
% 23.99/3.62 fof('$inc_shortest_path_defn', axiom, (! [V1,V2,SP] : (shortest_path(V1,V2,SP) <=> ((path(V1,V2,SP) & ~(V1 = V2)) & (! [P] : (path(V1,V2,P) => less_or_equal(length_of(SP),length_of(P))))))),
% 23.99/3.62 input).
% 23.99/3.62 fof('graph_has_them_all_$sk', plain, less_or_equal(number_of_in(X2,X1),number_of_in(X2,graph)),
% 23.99/3.62 inference(negpush_and_skolemize,[],['graph_has_them_all'])).
% 23.99/3.62 fof('graph_has_them_all', axiom, (! [Things,InThese] : less_or_equal(number_of_in(Things,InThese),number_of_in(Things,graph))),
% 23.99/3.62 input).
% 23.99/3.62 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)),
% 23.99/3.62 inference(negpush_and_skolemize,[],['$inc_precedes_defn'])).
% 23.99/3.62 fof('$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))))),
% 23.99/3.62 input).
% 23.99/3.62 fof('back_edge_$sk', plain, ((((head_of($sk4(X1,X2,X3,X4,X5)) = tail_of(X5)) & ((tail_of($sk4(X1,X2,X3,X4,X5)) = head_of(X4)) & edge($sk4(X1,X2,X3,X4,X5)))) | (~precedes(X5,X4,X1) | ~shortest_path(X3,X2,X1))) | ~complete),
% 23.99/3.62 inference(negpush_and_skolemize,[],['back_edge'])).
% 23.99/3.62 fof('back_edge', lemma, (complete => (! [V1,V2,E1,E2,P] : ((shortest_path(V1,V2,P) & precedes(E1,E2,P)) => (? [E3] : ((edge(E3) & (tail_of(E3) = head_of(E2))) & (head_of(E3) = tail_of(E1))))))),
% 23.99/3.62 input).
% 23.99/3.62 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)))))),
% 23.99/3.62 inference(negpush_and_skolemize,[],['$inc_sequential_defn'])).
% 23.99/3.62 fof('$inc_sequential_defn', axiom, (! [E1,E2] : (sequential(E1,E2) <=> (((edge(E1) & edge(E2)) & ~(E1 = E2)) & (head_of(E1) = tail_of(E2))))),
% 23.99/3.62 input).
% 23.99/3.62 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))),
% 23.99/3.62 inference(negpush_and_skolemize,[],['$inc_on_path_properties'])).
% 23.99/3.62 fof('$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)))),
% 23.99/3.62 input).
% 23.99/3.62 fof('$inc_no_loops_$sk', plain, (~(head_of(X1) = tail_of(X1)) | ~edge(X1)),
% 23.99/3.62 inference(negpush_and_skolemize,[],['$inc_no_loops'])).
% 23.99/3.62 fof('$inc_no_loops', axiom, (! [E] : (edge(E) => ~(head_of(E) = tail_of(E)))),
% 23.99/3.62 input).
% 23.99/3.62 fof('triangle_defn_$sk', plain, ((~triangle(X3,X2,X1) | (sequential(X1,X3) & (sequential(X2,X1) & (sequential(X3,X2) & (edge(X1) & (edge(X2) & edge(X3))))))) & (triangle(X6,X5,X4) | (~sequential(X4,X6) | (~sequential(X5,X4) | (~sequential(X6,X5) | (~edge(X4) | (~edge(X5) | ~edge(X6)))))))),
% 23.99/3.62 inference(negpush_and_skolemize,[],['triangle_defn'])).
% 23.99/3.62 fof('triangle_defn', axiom, (! [E1,E2,E3] : (triangle(E1,E2,E3) <=> (((((edge(E1) & edge(E2)) & edge(E3)) & sequential(E1,E2)) & sequential(E2,E3)) & sequential(E3,E1)))),
% 23.99/3.62 input).
% 23.99/3.62 fof('$inc_shortest_path_properties_$sk', plain, ((~precedes(X5,X4,X3) & (~(head_of(X6) = head_of(X5)) | ~(tail_of(X6) = tail_of(X4)))) | (~precedes(X4,X5,X3) | ~shortest_path(X2,X1,X3))),
% 23.99/3.62 inference(negpush_and_skolemize,[],['$inc_shortest_path_properties'])).
% 23.99/3.62 fof('$inc_shortest_path_properties', axiom, (! [V1,V2,E1,E2,P] : ((shortest_path(V1,V2,P) & precedes(E1,E2,P)) => (~(? [E3] : ((tail_of(E3) = tail_of(E1)) & (head_of(E3) = head_of(E2)))) & ~precedes(E2,E1,P)))),
% 23.99/3.62 input).
% 23.99/3.62 fof('$inc_precedes_properties_$sk', plain, (((((sequential(X5,X4) & (~precedes(X6,X4,X3) | ~sequential(X5,X6))) | (~sequential(X5,X4) & (precedes($sk8(X1,X2,X3,X4,X5),X4,X3) & sequential(X5,$sk8(X1,X2,X3,X4,X5))))) & (on_path(X4,X3) & on_path(X5,X3))) | ~precedes(X5,X4,X3)) | ~path(X1,X2,X3)),
% 23.99/3.62 inference(negpush_and_skolemize,[],['$inc_precedes_properties'])).
% 23.99/3.62 fof('$inc_precedes_properties', axiom, (! [P,V1,V2] : (path(V1,V2,P) => (! [E1,E2] : (precedes(E1,E2,P) => ((on_path(E1,P) & on_path(E2,P)) & ~(sequential(E1,E2) <=> (? [E3] : (sequential(E1,E3) & precedes(E3,E2,P))))))))),
% 23.99/3.62 input).
% 23.99/3.62 cnf('1', plain, (sequential($sk6(X,Y,Z),$sk5(X,Y,Z)) | number_of_in(sequential_pairs,Z) = number_of_in(triangles,Z) | ~path(Y,X,Z)),
% 23.99/3.62 inference(cnf_transformation,[],['sequential_pairs_and_triangles_$sk'])).
% 23.99/3.62 cnf('2', plain, (number_of_in(sequential_pairs,X) = minus(length_of(X),n1) | ~path(Y,Z,X)),
% 23.99/3.62 inference(cnf_transformation,[],['path_length_sequential_pairs_$sk'])).
% 23.99/3.62 cnf('3', plain, (~less_or_equal(minus(length_of($sk3),n1),number_of_in(triangles,graph))),
% 23.99/3.62 inference(cnf_transformation,[],['maximal_path_length_$sk'])).
% 23.99/3.62 cnf('4', plain, (~shortest_path(X,Y,Z) | path(X,Y,Z)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_shortest_path_defn_$sk'])).
% 23.99/3.62 cnf('5', plain, (shortest_path($sk1,$sk2,$sk3)),
% 23.99/3.62 inference(cnf_transformation,[],['maximal_path_length_$sk'])).
% 23.99/3.62 cnf('6', plain, (path($sk1,$sk2,$sk3)),
% 23.99/3.62 inference(resolution,[],['4','5'])).
% 23.99/3.62 cnf('7', plain, (~less_or_equal(number_of_in(sequential_pairs,$sk3),number_of_in(triangles,graph))),
% 23.99/3.62 inference(paramodulation,[then_simplify],['2','3','6'])).
% 23.99/3.62 cnf('8', plain, (less_or_equal(number_of_in(X0,X1),number_of_in(X0,graph))),
% 23.99/3.62 inference(cnf_transformation,[],['graph_has_them_all_$sk'])).
% 23.99/3.62 cnf('9', plain, (sequential($sk6(X,Y,$sk3),$sk5(X,Y,$sk3)) | ~path(Y,X,$sk3)),
% 23.99/3.62 inference(paramodulation,[then_simplify],['1','7','8'])).
% 23.99/3.62 cnf('10', plain, (path($sk1,$sk2,$sk3)),
% 23.99/3.62 inference(resolution,[],['4','5'])).
% 23.99/3.62 cnf('11', plain, (sequential($sk6($sk2,$sk1,$sk3),$sk5($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['9','10'])).
% 23.99/3.62 cnf('12', plain, (~path(X,Y,Z) | precedes(U,V,Z) | ~sequential(U,V) | ~on_path(V,Z) | ~on_path(U,Z)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_precedes_defn_$sk'])).
% 23.99/3.62 cnf('13', plain, (precedes(X,Y,$sk3) | ~sequential(X,Y) | ~on_path(Y,$sk3) | ~on_path(X,$sk3)),
% 23.99/3.62 inference(resolution,[],['12','10'])).
% 23.99/3.62 cnf('14', plain, (number_of_in(sequential_pairs,X) = number_of_in(triangles,X) | on_path($sk5(Y,Z,X),X) | ~path(Z,Y,X)),
% 23.99/3.62 inference(cnf_transformation,[],['sequential_pairs_and_triangles_$sk'])).
% 23.99/3.62 cnf('15', plain, (on_path($sk5(X,Y,$sk3),$sk3) | ~path(Y,X,$sk3)),
% 23.99/3.62 inference(paramodulation,[then_simplify],['14','7','8'])).
% 23.99/3.62 cnf('16', plain, (on_path($sk5($sk2,$sk1,$sk3),$sk3)),
% 23.99/3.62 inference(resolution,[],['15','10'])).
% 23.99/3.62 cnf('17', plain, (number_of_in(sequential_pairs,X) = number_of_in(triangles,X) | on_path($sk6(Y,Z,X),X) | ~path(Z,Y,X)),
% 23.99/3.62 inference(cnf_transformation,[],['sequential_pairs_and_triangles_$sk'])).
% 23.99/3.62 cnf('18', plain, (on_path($sk6(X,Y,$sk3),$sk3) | ~path(Y,X,$sk3)),
% 23.99/3.62 inference(paramodulation,[then_simplify],['17','7','8'])).
% 23.99/3.62 cnf('19', plain, (on_path($sk6($sk2,$sk1,$sk3),$sk3)),
% 23.99/3.62 inference(resolution,[],['18','10'])).
% 23.99/3.62 cnf('20', plain, (precedes($sk6($sk2,$sk1,$sk3),$sk5($sk2,$sk1,$sk3),$sk3)),
% 23.99/3.62 inference(resolution,[then_simplify],['11','13','16','19'])).
% 23.99/3.62 cnf('21', plain, (~$pr(complete) | head_of($sk4(X0,X1,X2,X3,X4)) = tail_of(X4) | ~shortest_path(X2,X1,X0) | ~precedes(X4,X3,X0)),
% 23.99/3.62 inference(cnf_transformation,[],['back_edge_$sk'])).
% 23.99/3.62 cnf('22', plain, ($pr(complete)),
% 23.99/3.62 inference(cnf_transformation,[],['maximal_path_length_$sk'])).
% 23.99/3.62 cnf('23', plain, (head_of($sk4(X,Y,Z,U,V)) = tail_of(V) | ~shortest_path(Z,Y,X) | ~precedes(V,U,X)),
% 23.99/3.62 inference(simplify,[],['21','22'])).
% 23.99/3.62 cnf('24', plain, (head_of($sk4($sk3,$sk2,$sk1,X,Y)) = tail_of(Y) | ~precedes(Y,X,$sk3)),
% 23.99/3.62 inference(resolution,[],['23','5'])).
% 23.99/3.62 cnf('25', plain, (head_of($sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3))) = tail_of($sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['20','24'])).
% 23.99/3.62 cnf('26', plain, (head_of(X) != tail_of(Y) | sequential(X,Y) | X = Y | ~edge(Y) | ~edge(X)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_sequential_defn_$sk'])).
% 23.99/3.62 cnf('27', plain, (on_path($sk6($sk2,$sk1,$sk3),$sk3)),
% 23.99/3.62 inference(resolution,[],['18','10'])).
% 23.99/3.62 cnf('28', plain, (~path(X,Y,Z) | ~on_path(U,Z) | edge(U)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_on_path_properties_$sk'])).
% 23.99/3.62 cnf('29', plain, (~on_path(X,$sk3) | edge(X)),
% 23.99/3.62 inference(resolution,[],['28','10'])).
% 23.99/3.62 cnf('30', plain, (edge($sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['27','29'])).
% 23.99/3.62 cnf('31', plain, (~$pr(complete) | edge($sk4(X0,X1,X2,X3,X4)) | ~shortest_path(X2,X1,X0) | ~precedes(X4,X3,X0)),
% 23.99/3.62 inference(cnf_transformation,[],['back_edge_$sk'])).
% 23.99/3.62 cnf('32', plain, (edge($sk4(X,Y,Z,U,V)) | ~shortest_path(Z,Y,X) | ~precedes(V,U,X)),
% 23.99/3.62 inference(simplify,[],['31','22'])).
% 23.99/3.62 cnf('33', plain, (edge($sk4($sk3,$sk2,$sk1,X,Y)) | ~precedes(Y,X,$sk3)),
% 23.99/3.62 inference(resolution,[],['32','5'])).
% 23.99/3.62 cnf('34', plain, (edge($sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3)))),
% 23.99/3.62 inference(resolution,[],['20','33'])).
% 23.99/3.62 cnf('35', plain, ($sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3)) = $sk6($sk2,$sk1,$sk3) | sequential($sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3)),$sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[then_simplify],['25','26','30','34'])).
% 23.99/3.62 cnf('36', plain, (edge($sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['27','29'])).
% 23.99/3.62 cnf('37', plain, (head_of(X) != tail_of(X) | ~edge(X)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_no_loops_$sk'])).
% 23.99/3.62 cnf('38', plain, (head_of($sk6($sk2,$sk1,$sk3)) != tail_of($sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['36','37'])).
% 23.99/3.62 cnf('39', plain, (sequential($sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3)),$sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(paramodulation,[then_simplify],['35','25','38'])).
% 23.99/3.62 cnf('40', plain, (triangle(X,Y,Z) | ~sequential(Z,X) | ~sequential(Y,Z) | ~sequential(X,Y) | ~edge(Z) | ~edge(Y) | ~edge(X)),
% 23.99/3.62 inference(cnf_transformation,[],['triangle_defn_$sk'])).
% 23.99/3.62 cnf('41', plain, (on_path($sk5($sk2,$sk1,$sk3),$sk3)),
% 23.99/3.62 inference(resolution,[],['15','10'])).
% 23.99/3.62 cnf('42', plain, (edge($sk5($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['41','29'])).
% 23.99/3.62 cnf('43', plain, (triangle(X,$sk5($sk2,$sk1,$sk3),Y) | ~sequential($sk5($sk2,$sk1,$sk3),Y) | ~sequential(X,$sk5($sk2,$sk1,$sk3)) | ~sequential(Y,X) | ~edge(Y) | ~edge(X)),
% 23.99/3.62 inference(resolution,[],['40','42'])).
% 23.99/3.62 cnf('44', plain, (sequential($sk6($sk2,$sk1,$sk3),$sk5($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['9','10'])).
% 23.99/3.62 cnf('45', plain, (~triangle($sk6(X,Y,Z),$sk5(X,Y,Z),U) | number_of_in(sequential_pairs,Z) = number_of_in(triangles,Z) | ~path(Y,X,Z)),
% 23.99/3.62 inference(cnf_transformation,[],['sequential_pairs_and_triangles_$sk'])).
% 23.99/3.62 cnf('46', plain, (~triangle($sk6(X,Y,$sk3),$sk5(X,Y,$sk3),Z) | ~path(Y,X,$sk3)),
% 23.99/3.62 inference(paramodulation,[then_simplify],['45','7','8'])).
% 23.99/3.62 cnf('47', plain, (~triangle($sk6($sk2,$sk1,$sk3),$sk5($sk2,$sk1,$sk3),X3)),
% 23.99/3.62 inference(resolution,[],['46','10'])).
% 23.99/3.62 cnf('48', plain, (~sequential($sk5($sk2,$sk1,$sk3),$sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3)))),
% 23.99/3.62 inference(resolution,[then_simplify],['39','43','44','34','30','47'])).
% 23.99/3.62 cnf('49', plain, (~$pr(complete) | tail_of($sk4(X0,X1,X2,X3,X4)) = head_of(X3) | ~shortest_path(X2,X1,X0) | ~precedes(X4,X3,X0)),
% 23.99/3.62 inference(cnf_transformation,[],['back_edge_$sk'])).
% 23.99/3.62 cnf('50', plain, (tail_of($sk4(X,Y,Z,U,V)) = head_of(U) | ~shortest_path(Z,Y,X) | ~precedes(V,U,X)),
% 23.99/3.62 inference(simplify,[],['49','22'])).
% 23.99/3.62 cnf('51', plain, (tail_of($sk4($sk3,$sk2,$sk1,X,Y)) = head_of(X) | ~precedes(Y,X,$sk3)),
% 23.99/3.62 inference(resolution,[],['50','5'])).
% 23.99/3.62 cnf('52', plain, (tail_of($sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3))) = head_of($sk5($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['20','51'])).
% 23.99/3.62 cnf('53', plain, (sequential(X,$sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3))) | X = $sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3)) | head_of(X) != head_of($sk5($sk2,$sk1,$sk3)) | ~edge(X)),
% 23.99/3.62 inference(paramodulation,[then_simplify],['52','26','34'])).
% 23.99/3.62 cnf('54', plain, (edge($sk5($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[],['41','29'])).
% 23.99/3.62 cnf('55', plain, ($sk5($sk2,$sk1,$sk3) = $sk4($sk3,$sk2,$sk1,$sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[then_simplify],['48','53','54'])).
% 23.99/3.62 cnf('56', plain, (~precedes(X,Y,Z) | ~path(U,V,Z) | precedes(W,Y,Z) | ~sequential(W,X) | ~on_path(W,Z) | ~on_path(Y,Z)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_precedes_defn_$sk'])).
% 23.99/3.62 cnf('57', plain, (~shortest_path(X,Y,Z) | ~precedes(U,V,Z) | ~precedes(V,U,Z)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_shortest_path_properties_$sk'])).
% 23.99/3.62 cnf('58', plain, (~shortest_path(X,Y,Z) | ~precedes(U,U,Z)),
% 23.99/3.62 inference(factorization,[],['57'])).
% 23.99/3.62 cnf('59', plain, (~precedes(X,X,$sk3)),
% 23.99/3.62 inference(resolution,[],['58','5'])).
% 23.99/3.62 cnf('60', plain, (~precedes(X3,Y3,$sk3) | ~path(Z3,U3,$sk3) | ~sequential(Y3,X3) | ~on_path(Y3,$sk3)),
% 23.99/3.62 inference(resolution,[],['56','59'])).
% 23.99/3.62 cnf('61', plain, (~precedes(X,Y,Z) | ~path(U,V,Z) | on_path(Y,Z)),
% 23.99/3.62 inference(cnf_transformation,[],['$inc_precedes_properties_$sk'])).
% 23.99/3.62 cnf('62', plain, (~precedes(X3,Y3,$sk3) | on_path(Y3,$sk3)),
% 23.99/3.62 inference(resolution,[],['61','10'])).
% 23.99/3.62 cnf('63', plain, (~precedes(X,Y,$sk3) | ~path(Z,U,$sk3) | ~sequential(Y,X)),
% 23.99/3.62 inference(simplify,[],['60','62'])).
% 23.99/3.62 cnf('64', plain, (~precedes(X,Y,$sk3) | ~sequential(Y,X)),
% 23.99/3.62 inference(resolution,[],['63','10'])).
% 23.99/3.62 cnf('65', plain, (~precedes($sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3),$sk3)),
% 23.99/3.62 inference(resolution,[],['11','64'])).
% 23.99/3.62 cnf('66', plain, (~sequential($sk5($sk2,$sk1,$sk3),$sk6($sk2,$sk1,$sk3))),
% 23.99/3.62 inference(resolution,[then_simplify],['65','13','19','16'])).
% 23.99/3.62 cnf('67', plain, ($false),
% 23.99/3.62 inference(paramodulation,[then_simplify],['55','39','66'])).
% 23.99/3.62
% 23.99/3.62 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.99/3.62
% 23.99/3.62 run 123 fork 2 statistics:
% 23.99/3.62 ----------------------------------
% 23.99/3.62 this run seconds: 0.539442
% 23.99/3.62 total seconds: 2.651360
% 23.99/3.62 stat_given_used: 1981
% 23.99/3.62 stat_given_used_at_endgame: 0
% 23.99/3.62 stat_given_candidates: 4743
% 23.99/3.62 stat_given_candidates_at_endgame: 0
% 23.99/3.62 stat_given_candidates_h: 0
% 23.99/3.62 stat_binres_derived_cl: 17526
% 23.99/3.62 stat_binres_derived_cl_h: 0
% 23.99/3.62 stat_factor_derived_cl: 311
% 23.99/3.62 stat_para_derived_cl: 19292
% 23.99/3.62 stat_tautologies_discarded: 244
% 23.99/3.62 stat_forward_subsumed: 2403
% 23.99/3.62 stat_derived_cut: 3861
% 23.99/3.62 stat_derived_rewritten: 162
% 23.99/3.62 stat_weight_discarded_building: 0
% 23.99/3.62 stat_weight_discarded_cl: 370
% 23.99/3.62 stat_internlimit_discarded_cl: 0
% 23.99/3.62 stat_simplified: 200 simplified 0 derived 0 given
% 23.99/3.62 stat_kept_cl: 33871
% 23.99/3.62 stat_built_cl: 38403
% 23.99/3.62 stat_hyperres_partial_cl: 0
% 23.99/3.62 stat_made_rewriters: 22
% 23.99/3.62 stat_backward_subsumed: 0
% 23.99/3.62 stat_propagated_subsumed: 0
% 23.99/3.62 stat_clsubs_attempted: 40048
% 23.99/3.62 stat_clsubs_fact_groundunit_found: 4
% 23.99/3.62 stat_clsubs_rule_groundunit_found: 78
% 23.99/3.62 stat_clsubs_top_meta_attempted: 3345735
% 23.99/3.62 stat_clsubs_top_meta_failed: 3305687
% 23.99/3.62 stat_clsubs_top_meta_nonpref_attempted: 3345735
% 23.99/3.62 stat_clsubs_top_meta_nonpref_succeeded: 830039
% 23.99/3.62 stat_clsubs_top_meta_pref_attempted: 830039
% 23.99/3.62 stat_clsubs_top_meta_pref1_succeeded: 223153
% 23.99/3.62 stat_clsubs_top_meta_pref2_succeeded: 99775
% 23.99/3.62 stat_clsubs_top_meta_pref3_succeeded: 40048
% 23.99/3.62 stat_clsubs_top_meta_pref_succeeded: 40048
% 23.99/3.62 stat_clsubs_meta_attempted: 76207
% 23.99/3.62 stat_clsubs_meta_failed: 53489
% 23.99/3.62 stat_clsubs_predsymbs_attempted: 0
% 23.99/3.62 stat_clsubs_unit_attempted: 951
% 23.99/3.62 stat_clsubs_full_attempted: 39097
% 23.99/3.62 stat_forwardsubs_attempted: 36645
% 23.99/3.62 stat_lit_hash_added: 20994
% 23.99/3.62 stat_lit_hash_computed: 222000
% 23.99/3.62 stat_lit_hash_match_found: 8263
% 23.99/3.62 stat_lit_hash_match_miss: 302974
% 23.99/3.62 stat_lit_hash_cut_ok: 5718
% 23.99/3.62 stat_lit_strong_cut_ok: 68
% 23.99/3.62 stat_lit_hash_subsume_ok: 2403
% 23.99/3.62 clqueue els 10000000 used 1
% 23.99/3.62 clactive els 10000000 used 1982
% 23.99/3.62 clactivesubsume els 10000000 used 10621
% 23.99/3.62 queue_termbuf els 200000000 used 4811071
% 23.99/3.62 hyper_termbuf els 100000000 used 1
% 23.99/3.62 active_termbuf els 100000000 used 127618
% 23.99/3.62 varstack els 5000 last used 1
% 23.99/3.62 given_termbuf els 10000000 last used 1
% 23.99/3.62 simplified_termbuf els 10000000 last used 1
% 23.99/3.62 derived_termbuf els 10000000 last used 39
% 23.99/3.62 wr_mallocs: 48400
% 23.99/3.62 wr_callocs: 21
% 23.99/3.62 wr_reallocs: 5223
% 23.99/3.62 wr_frees: 2
% 23.99/3.62 wr_malloc_bytes: 4164269492
% 23.99/3.62 wr_calloc_bytes: 112065536
% 23.99/3.62
% 23.99/3.62
% 23.99/3.62 fork 1: search terminated without proof.
% 23.99/3.62 wr_realloc_bytes: 1333088
% 23.99/3.62 wr_realloc_freebytes: 0
% 23.99/3.62 ----------------------------------
%------------------------------------------------------------------------------