%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL403+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:08:30 PM UTC 2026
% Result : Theorem 74.80s 10.00s
% Output : CNFRefutation 74.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL403+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04 % Command : gkc %s
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 21:24:23 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.21/0.48
% 0.21/0.48 input clause set summed statistics:
% 0.21/0.48 ----------------------------------
% 0.21/0.48 in_clause_count: 3
% 0.21/0.48 in_rule_clause_count: 3
% 0.21/0.48 in_fact_clause_count: 0
% 0.21/0.48 in_answer_clause_count: 0
% 0.21/0.48 in_ground_clause_count: 1
% 0.21/0.48 in_unit_clause_count: 2
% 0.21/0.48 in_horn_clause_count: 3
% 0.21/0.48 in_pos_clause_count: 1
% 0.21/0.48 in_neg_clause_count: 1
% 0.21/0.48 in_poseq_clause_count: 0
% 0.21/0.48 in_negeq_clause_count: 0
% 0.21/0.48 in_unitposeq_clause_count: 0
% 0.21/0.48 in_chain_clause_count: 0
% 0.21/0.48 in_min_length: 1
% 0.21/0.48 in_max_length: 3
% 0.21/0.48 in_min_depth: 2
% 0.21/0.48 in_max_depth: 12
% 0.21/0.48 in_min_size: 8
% 0.21/0.48 in_max_size: 56
% 0.21/0.48 in_min_vars: 0
% 0.21/0.48 in_max_vars: 15
% 0.21/0.48 in_extaxiom_count: 0
% 0.21/0.48 in_axiom_count: 2
% 0.21/0.48 in_assumption_count: 0
% 0.21/0.48 in_goal_count: 1
% 0.21/0.48 in_neg_goal_count: 1
% 0.21/0.48 in_pos_goal_count: 0
% 0.21/0.48 in_posunit_goal_count: 0
% 0.21/0.48
% 0.21/0.48 auto guide:
% 0.21/0.48 -----------
% 0.21/0.48 {
% 0.21/0.48 "print":1,
% 0.21/0.48 "print_level": 15,
% 0.21/0.48 "max_size": 0,
% 0.21/0.48 "max_depth": 0,
% 0.21/0.48 "max_length": 0,
% 0.21/0.48 "max_dseconds": 0,
% 0.21/0.48 "equality":0,
% 0.21/0.48 "runs":[
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.48 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.48 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.48 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.48 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.48
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.48 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.48 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.21/0.48 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.48 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.21/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.48 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.21/0.48
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.48 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.48 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.21/0.48 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.48 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.21/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.21/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.21/0.48 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.21/0.48
% 0.21/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.48
% 0.21/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.48 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1}
% 0.21/0.48
% 0.21/0.48 ]}
% 0.21/0.48
% 0.21/0.49
% 0.21/0.49 **** run 1 fork 0 starts with strategy
% 0.21/0.49 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.21/0.49
% 0.21/0.49 **** run 2 fork 1 starts with strategy
% 0.21/0.49 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.21/0.49
% 0.21/0.49 **** run 3 fork 2 starts with strategy
% 0.21/0.49 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.21/0.49
% 0.21/0.49 **** run 4 fork 3 starts with strategy
% 0.21/0.49 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.21/0.49
% 0.21/0.49 **** run 5 fork 4 starts with strategy
% 0.21/0.49 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.21/0.50
% 0.21/0.50 **** run 6 fork 5 starts with strategy
% 0.21/0.50 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.21/0.50
% 0.21/0.50 **** run 7 fork 6 starts with strategy
% 0.21/0.50 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.21/0.50
% 0.21/0.50 **** run 8 fork 7 starts with strategy
% 0.21/0.50 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
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% 0.89/0.63 fork 6: search terminated without proof.
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% 0.89/0.64 **** run 14 fork 5 starts with strategy
% 0.89/0.64 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
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% 1.48/0.67
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% 4.64/1.07
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% 4.64/1.13 **** run 37 fork 4 starts with strategy
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% 6.55/1.37 **** run 43 fork 2 starts with strategy
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% 6.55/1.39 **** run 42 fork 1 starts with strategy
% 6.55/1.39 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0}
% 7.34/1.40
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% 7.34/1.40 {"max_dseconds":10,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
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% 7.34/1.41 **** run 44 fork 3 starts with strategy
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% 12.58/2.13 fork 5: search terminated without proof.
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% 13.40/2.17 **** run 54 fork 5 starts with strategy
% 13.40/2.17 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
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% 13.70/2.27 fork 4: search finished without proof.
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% 14.50/2.35
% 14.50/2.35 **** run 49 fork 0 starts with strategy
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% 14.50/2.38 fork 6: search finished without proof.
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% 15.31/2.44 **** run 55 fork 6 starts with strategy
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% 15.31/2.46
% 15.31/2.46 **** run 51 fork 2 starts with strategy
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% 15.31/2.46
% 15.31/2.46 **** run 50 fork 1 starts with strategy
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% 15.31/2.46 **** run 56 fork 7 starts with strategy
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% 15.31/2.49 **** run 52 fork 3 starts with strategy
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% 21.35/3.18 fork 5: search terminated without proof.
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% 21.66/3.22 **** run 62 fork 5 starts with strategy
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% 22.47/3.40 **** run 61 fork 4 starts with strategy
% 22.47/3.40 {"max_dseconds":10,"strategy":["query_focus","max_ground_weight"],"query_preference":1}
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% 23.24/3.43 fork 6: search finished without proof.
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% 23.24/3.43 **** run 57 fork 0 starts with strategy
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% 23.24/3.48 **** run 63 fork 6 starts with strategy
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% 24.06/3.52 fork 2: search finished without proof.
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% 24.06/3.54 **** run 58 fork 1 starts with strategy
% 24.06/3.54 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":0}
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% 24.06/3.57 **** run 59 fork 2 starts with strategy
% 24.06/3.57 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
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% 24.06/3.58 fork 3: search terminated without proof.
% 24.85/3.64
% 24.85/3.64 **** run 60 fork 3 starts with strategy
% 24.85/3.64 {"max_dseconds":10,"strategy":["query_focus","unit"],"query_preference":1}
% 26.46/3.89 limiterr in wr_build_calc_term for renamed var nrs
% 27.28/3.93
% 27.28/3.93 **** run 68 fork 3 starts with strategy
% 27.28/3.93 {"length_penalty":100,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 29.30/4.16
% 29.30/4.16 fork 5: search finished without proof.
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% 29.30/4.19 **** run 70 fork 5 starts with strategy
% 29.30/4.19 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0}
% 30.39/4.35
% 30.39/4.35 fork 4: search finished without proof.
% 31.24/4.40
% 31.24/4.40 **** run 69 fork 4 starts with strategy
% 31.24/4.40 {"strategy":["hardness_pref","max_weight"],"length_penalty":100,"depth_penalty":50,"max_depth":3,"var_weight":10,"repeat_var_weight":10,"max_dseconds":10}
% 31.24/4.41
% 31.24/4.41 fork 4: search finished without proof.
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% 31.24/4.42 fork 7: search finished without proof.
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% 31.24/4.44
% 31.24/4.44 fork 0: search terminated without proof.
% 31.24/4.46
% 31.24/4.46 **** run 77 fork 4 starts with strategy
% 31.24/4.46 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 31.24/4.47
% 31.24/4.47 **** run 72 fork 7 starts with strategy
% 31.24/4.47 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 31.24/4.50
% 31.24/4.50 **** run 65 fork 0 starts with strategy
% 31.24/4.50 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 32.01/4.53
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% 32.01/4.53 fork 6: search terminated without proof.
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% 32.01/4.59 **** run 71 fork 6 starts with strategy
% 32.01/4.59 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 32.86/4.61
% 32.86/4.61 **** run 66 fork 1 starts with strategy
% 32.86/4.61 {"max_dseconds":10,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 32.86/4.63
% 32.86/4.63 **** run 67 fork 2 starts with strategy
% 32.86/4.64 {"max_dseconds":10,"strategy":["negative_pref","max_ground_weight"],"query_preference":0}
% 35.21/4.92
% 35.21/4.92 fork 3: search finished without proof.
% 35.21/4.97
% 35.21/4.97 **** run 76 fork 3 starts with strategy
% 35.21/4.97 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 36.46/5.13
% 36.46/5.13 fork 5: search finished without proof.
% 37.29/5.16
% 37.29/5.16 **** run 78 fork 5 starts with strategy
% 37.29/5.16 {"max_dseconds":10,"strategy":["negative_pref"],"max_depth":5,"query_preference":0}
% 37.29/5.17
% 37.29/5.17 fork 5: search finished without proof.
% 37.57/5.20
% 37.57/5.20 **** run 86 fork 5 starts with strategy
% 37.57/5.20 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 39.17/5.42
% 39.17/5.42 fork 7: search finished without proof.
% 39.17/5.47
% 39.17/5.47 **** run 80 fork 7 starts with strategy
% 39.17/5.47 {"weight_select_ratio":100,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 39.17/5.48
% 39.17/5.48
% 39.17/5.48 fork 4: search terminated without proof.
% 39.97/5.51
% 39.97/5.51
% 39.97/5.51 fork 0: search terminated without proof.
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% 39.97/5.54 **** run 85 fork 4 starts with strategy
% 39.97/5.54 {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":20}
% 39.97/5.56
% 39.97/5.56 **** run 73 fork 0 starts with strategy
% 39.97/5.56 {"var_weight":70,"repeat_var_weight":70,"max_depth":3,"query_preference":0,"strategy":["negative_pref"],"max_dseconds":10}
% 39.97/5.58
% 39.97/5.58 fork 0: search finished without proof.
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% 39.97/5.59 fork 6: search finished without proof.
% 40.78/5.62
% 40.78/5.62
% 40.78/5.62 fork 1: search terminated without proof.
% 40.78/5.62
% 40.78/5.62 **** run 81 fork 0 starts with strategy
% 40.78/5.62 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0}
% 40.78/5.65
% 40.78/5.65 **** run 79 fork 6 starts with strategy
% 40.78/5.65 {"max_dseconds":10,"strategy":["negative_pref"],"max_weight":40,"query_preference":0}
% 40.78/5.65
% 40.78/5.65
% 40.78/5.65 fork 2: search terminated without proof.
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% 40.78/5.66 fork 6: search finished without proof.
% 40.78/5.67
% 40.78/5.67 **** run 74 fork 1 starts with strategy
% 40.78/5.68 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 41.58/5.70
% 41.58/5.70 **** run 75 fork 2 starts with strategy
% 41.58/5.70 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 41.58/5.71
% 41.58/5.71 **** run 87 fork 6 starts with strategy
% 41.58/5.71 {"max_dseconds":50,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 43.17/5.99
% 43.17/5.99
% 43.17/5.99 fork 3: search terminated without proof.
% 43.17/6.04
% 43.17/6.04 **** run 84 fork 3 starts with strategy
% 43.17/6.04 {"max_dseconds":50,"strategy":["unit"],"query_preference":0}
% 47.13/6.43
% 47.13/6.43 fork 7: search finished without proof.
% 47.13/6.49
% 47.13/6.49 **** run 88 fork 7 starts with strategy
% 47.13/6.49 {"max_dseconds":50,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 48.72/6.65
% 48.72/6.65 fork 2: search finished without proof.
% 48.72/6.69
% 48.72/6.69
% 48.72/6.69 fork 1: search terminated without proof.
% 48.72/6.70
% 48.72/6.70 **** run 83 fork 2 starts with strategy
% 48.72/6.70 {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 49.55/6.75
% 49.55/6.75 **** run 82 fork 1 starts with strategy
% 49.55/6.75 {"max_dseconds":50,"strategy":["hardness_pref"],"query_preference":0}
% 74.80/10.00
% 74.80/10.00
% 74.80/10.00 result: proof found
% 74.80/10.00 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.80/10.00 by run 83 fork 2 strategy {"max_dseconds":50,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 74.80/10.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.80/10.00
% 74.80/10.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.80/10.00 fof('f2_$sk', plain, is_a_theorem(implies(implies(implies(implies(implies(X15,implies(X14,X15)),implies(implies(X10,implies(X12,implies(X11,X12))),X13)),X13),implies(implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X5),X5),X5),X4)),X4),implies(implies(X8,implies(n(X8),X7)),X6)),X6),X9)),X9)),
% 74.80/10.00 inference(negpush_and_skolemize,[],['f2'])).
% 74.80/10.00 fof('f2', axiom, (! [A,B,C,D,E,F,G,H,I,J,K,L,M,N,O] : is_a_theorem(implies(implies(implies(implies(implies(A,implies(B,A)),implies(implies(C,implies(D,implies(E,D))),F)),F),implies(implies(implies(implies(implies(implies(implies(G,H),implies(implies(H,I),implies(G,I))),implies(implies(implies(n(J),J),J),K)),K),implies(implies(L,implies(n(L),M)),N)),N),O)),O))),
% 74.80/10.00 input).
% 74.80/10.00 fof('condensed_detachment_$sk', plain, (is_a_theorem(X2) | (~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X2)))),
% 74.80/10.00 inference(negpush_and_skolemize,[],['condensed_detachment'])).
% 74.80/10.00 fof('condensed_detachment', axiom, (! [X,Y] : ((is_a_theorem(implies(X,Y)) & is_a_theorem(X)) => is_a_theorem(Y))),
% 74.80/10.00 input).
% 74.80/10.00 fof('f3_$sk', plain, ~is_a_theorem(implies(x,implies(n(y),n(implies(x,y))))),
% 74.80/10.00 inference(negpush_and_skolemize,[],['f3'])).
% 74.80/10.00 fof('f3', conjecture, is_a_theorem(implies(x,implies(n(y),n(implies(x,y))))),
% 74.80/10.00 input).
% 74.80/10.00 cnf('1', plain, (is_a_theorem(implies(implies(implies(implies(implies(X,implies(Y,X)),implies(implies(Z,implies(U,implies(V,U))),W)),W),implies(implies(implies(implies(implies(implies(implies(X2006,X2007),implies(implies(X2007,X2008),implies(X2006,X2008))),implies(implies(implies(n(X2009),X2009),X2009),X2010)),X2010),implies(implies(X2011,implies(n(X2011),X2012)),X2013)),X2013),X2014)),X2014))),
% 74.80/10.00 inference(cnf_transformation,[],['f2_$sk'])).
% 74.80/10.00 cnf('2', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 74.80/10.00 inference(cnf_transformation,[],['condensed_detachment_$sk'])).
% 74.80/10.00 cnf('3', plain, (~is_a_theorem(implies(implies(implies(implies(X,implies(Y,X)),implies(implies(Z,implies(U,implies(V,U))),W)),W),implies(implies(implies(implies(implies(implies(implies(X2006,X2007),implies(implies(X2007,X2008),implies(X2006,X2008))),implies(implies(implies(n(X2009),X2009),X2009),X2010)),X2010),implies(implies(X2011,implies(n(X2011),X2012)),X2013)),X2013),X2014))) | is_a_theorem(X2014)),
% 74.80/10.00 inference(resolution,[],['1','2'])).
% 74.80/10.00 cnf('4', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 74.80/10.00 inference(resolution,[],['3','1'])).
% 74.80/10.00 cnf('5', plain, (is_a_theorem(implies(X,Y)) | ~is_a_theorem(Y)),
% 74.80/10.00 inference(resolution,[],['4','2'])).
% 74.80/10.00 cnf('6', plain, (is_a_theorem(implies(X,implies(Y,implies(Z,Y))))),
% 74.80/10.00 inference(resolution,[],['5','4'])).
% 74.80/10.00 cnf('7', plain, (is_a_theorem(implies(X,implies(implies(implies(implies(implies(implies(Y,Z),implies(implies(Z,U),implies(Y,U))),implies(implies(implies(n(V),V),V),W)),W),implies(implies(X2006,implies(n(X2006),X2007)),X2008)),X2008)))),
% 74.80/10.00 inference(resolution,[],['6','3'])).
% 74.80/10.00 cnf('8', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,X)),implies(implies(Z,implies(U,implies(V,U))),W)),W))),
% 74.80/10.00 inference(resolution,[],['4','3'])).
% 74.80/10.00 cnf('9', plain, (is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,Y)),implies(implies(U,implies(V,implies(W,V))),X2006)),X2006)))),
% 74.80/10.00 inference(resolution,[],['8','5'])).
% 74.80/10.00 cnf('10', plain, (is_a_theorem(implies(X,implies(implies(n(Y),Y),Y)))),
% 74.80/10.00 inference(resolution,[],['9','3'])).
% 74.80/10.00 cnf('11', plain, (is_a_theorem(implies(implies(n(X),X),X)) | ~is_a_theorem(Y)),
% 74.80/10.00 inference(resolution,[],['10','2'])).
% 74.80/10.00 cnf('12', plain, (is_a_theorem(implies(implies(n(X),X),X))),
% 74.80/10.00 inference(resolution,[],['11','10'])).
% 74.80/10.00 cnf('13', plain, (~is_a_theorem(implies(n(X),X)) | is_a_theorem(X)),
% 74.80/10.00 inference(resolution,[],['12','2'])).
% 74.80/10.00 cnf('14', plain, (is_a_theorem(implies(implies(implies(implies(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),implies(implies(implies(n(U),U),U),V)),V),implies(implies(W,implies(n(W),X2006)),X2007)),X2007))),
% 74.80/10.00 inference(resolution,[],['7','13'])).
% 74.80/10.00 cnf('15', plain, (~is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),implies(implies(implies(n(U),U),U),V)),V),implies(implies(W,implies(n(W),X2006)),X2007))) | is_a_theorem(X2007)),
% 74.80/10.00 inference(resolution,[],['14','2'])).
% 74.80/10.00 cnf('16', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))),implies(implies(implies(n(U),U),U),V)),V))),
% 74.80/10.00 inference(resolution,[],['15','4'])).
% 74.80/10.00 cnf('17', plain, (~is_a_theorem(implies(implies(X,implies(Y,X)),implies(implies(Z,implies(U,implies(V,U))),W))) | is_a_theorem(W)),
% 74.80/10.00 inference(resolution,[],['8','2'])).
% 74.80/10.00 cnf('18', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,X)),Z),implies(U,Z)))),
% 74.80/10.00 inference(resolution,[],['16','17'])).
% 74.80/10.00 cnf('19', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 74.80/10.00 inference(resolution,[],['18','15'])).
% 74.80/10.00 cnf('20', plain, (is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | ~is_a_theorem(implies(Z,X))),
% 74.80/10.00 inference(resolution,[],['19','2'])).
% 74.80/10.00 cnf('21', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(implies(Z,X),U)))),
% 74.80/10.00 inference(resolution,[],['20','19'])).
% 74.80/10.00 cnf('22', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(Y,Z)))),
% 74.80/10.00 inference(resolution,[],['20','4'])).
% 74.80/10.00 cnf('23', plain, (~is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(implies(Y,Z))),
% 74.80/10.00 inference(resolution,[],['22','2'])).
% 74.80/10.00 cnf('24', plain, (is_a_theorem(implies(X,implies(implies(X,Y),implies(Z,Y))))),
% 74.80/10.00 inference(resolution,[],['23','19'])).
% 74.80/10.00 cnf('25', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),implies(Z,Y)),U),implies(X,U)))),
% 74.80/10.00 inference(resolution,[],['24','20'])).
% 74.80/10.00 cnf('26', plain, (~is_a_theorem(implies(implies(implies(X,Y),implies(Z,Y)),U)) | is_a_theorem(implies(X,U))),
% 74.80/10.01 inference(resolution,[],['25','2'])).
% 74.80/10.01 cnf('27', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(U,implies(Z,Y)))))),
% 74.80/10.01 inference(resolution,[],['21','26'])).
% 74.80/10.01 cnf('28', plain, (is_a_theorem(implies(implies(X,Y),implies(Z,implies(X,U)))) | ~is_a_theorem(implies(Y,U))),
% 74.80/10.01 inference(resolution,[],['27','2'])).
% 74.80/10.01 cnf('29', plain, (is_a_theorem(implies(implies(X,implies(n(Y),Y)),implies(Z,implies(X,Y))))),
% 74.80/10.01 inference(resolution,[],['28','12'])).
% 74.80/10.01 cnf('30', plain, (is_a_theorem(implies(X,implies(Y,implies(n(Y),Z))))),
% 74.80/10.01 inference(resolution,[],['7','17'])).
% 74.80/10.01 cnf('31', plain, (is_a_theorem(implies(X,implies(n(X),Y)))),
% 74.80/10.01 inference(resolution,[],['30','13'])).
% 74.80/10.01 cnf('32', plain, (is_a_theorem(implies(implies(implies(n(X),Y),Z),implies(X,Z)))),
% 74.80/10.01 inference(resolution,[],['20','31'])).
% 74.80/10.01 cnf('33', plain, (is_a_theorem(implies(n(X),implies(X,implies(Y,Z))))),
% 74.80/10.01 inference(resolution,[],['26','32'])).
% 74.80/10.01 cnf('34', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(n(X),U)))),
% 74.80/10.01 inference(resolution,[],['33','20'])).
% 74.80/10.01 cnf('35', plain, (~is_a_theorem(implies(implies(X,implies(Y,Z)),U)) | is_a_theorem(implies(n(X),U))),
% 74.80/10.01 inference(resolution,[],['34','2'])).
% 74.80/10.01 cnf('36', plain, (is_a_theorem(implies(n(X),implies(Y,implies(X,Z))))),
% 74.80/10.01 inference(resolution,[],['29','35'])).
% 74.80/10.01 cnf('37', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(n(Y),U)))),
% 74.80/10.01 inference(resolution,[],['36','20'])).
% 74.80/10.01 cnf('38', plain, (~is_a_theorem(implies(implies(X,implies(Y,Z)),U)) | is_a_theorem(implies(n(Y),U))),
% 74.80/10.01 inference(resolution,[],['37','2'])).
% 74.80/10.01 cnf('39', plain, (is_a_theorem(implies(X,implies(Y,implies(implies(X,Z),Z))))),
% 74.80/10.01 inference(resolution,[],['29','26'])).
% 74.80/10.01 cnf('40', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,X)),Z),Z))),
% 74.80/10.01 inference(resolution,[],['39','17'])).
% 74.80/10.01 cnf('41', plain, (is_a_theorem(implies(n(X),implies(X,Y)))),
% 74.80/10.01 inference(resolution,[],['38','40'])).
% 74.80/10.01 cnf('42', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(n(X),Z)))),
% 74.80/10.01 inference(resolution,[],['41','20'])).
% 74.80/10.01 cnf('43', plain, (~is_a_theorem(implies(implies(X,Y),Z)) | is_a_theorem(implies(n(X),Z))),
% 74.80/10.01 inference(resolution,[],['42','2'])).
% 74.80/10.01 cnf('44', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,X),Y),Z)))),
% 74.80/10.01 inference(resolution,[],['22','20'])).
% 74.80/10.01 cnf('45', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),U)) | ~is_a_theorem(implies(implies(Y,Z),U))),
% 74.80/10.01 inference(resolution,[],['44','2'])).
% 74.80/10.01 cnf('46', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(n(implies(Y,Z)),U)))),
% 74.80/10.01 inference(resolution,[],['45','31'])).
% 74.80/10.01 cnf('47', plain, (is_a_theorem(implies(n(implies(X,Y)),implies(n(implies(Y,Z)),U)))),
% 74.80/10.01 inference(resolution,[],['43','46'])).
% 74.80/10.01 cnf('48', plain, (is_a_theorem(implies(n(implies(X,Y)),X))),
% 74.80/10.01 inference(resolution,[],['47','13'])).
% 74.80/10.01 cnf('49', plain, (is_a_theorem(implies(implies(X,Y),implies(n(implies(X,Z)),Y)))),
% 74.80/10.01 inference(resolution,[],['48','20'])).
% 74.80/10.01 cnf('50', plain, (is_a_theorem(implies(n(implies(X,Y)),Z)) | ~is_a_theorem(implies(X,Z))),
% 74.80/10.01 inference(resolution,[],['49','2'])).
% 74.80/10.01 cnf('51', plain, (is_a_theorem(implies(n(implies(X,Y)),implies(Z,implies(implies(X,U),U))))),
% 74.80/10.01 inference(resolution,[],['50','39'])).
% 74.80/10.01 cnf('52', plain, (is_a_theorem(implies(X,implies(implies(X,Y),Y)))),
% 74.80/10.01 inference(resolution,[],['51','13'])).
% 74.80/10.01 cnf('53', plain, (is_a_theorem(implies(implies(implies(implies(X,Y),Y),Z),implies(X,Z)))),
% 74.80/10.01 inference(resolution,[],['52','20'])).
% 74.80/10.01 cnf('54', plain, (~is_a_theorem(implies(implies(implies(X,Y),Y),Z)) | is_a_theorem(implies(X,Z))),
% 74.80/10.01 inference(resolution,[],['53','2'])).
% 74.80/10.01 cnf('55', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,X),implies(Z,Y))))),
% 74.80/10.01 inference(resolution,[],['54','21'])).
% 74.80/10.01 cnf('56', plain, (is_a_theorem(implies(implies(X,Y),Y)) | ~is_a_theorem(X)),
% 74.80/10.01 inference(resolution,[],['52','2'])).
% 74.80/10.01 cnf('57', plain, (is_a_theorem(implies(implies(implies(n(X),implies(X,Y)),Z),Z))),
% 74.80/10.01 inference(resolution,[],['56','41'])).
% 74.80/10.01 cnf('58', plain, (~is_a_theorem(implies(implies(n(X),implies(X,Y)),Z)) | is_a_theorem(Z)),
% 74.80/10.01 inference(resolution,[],['57','2'])).
% 74.80/10.01 cnf('59', plain, (is_a_theorem(implies(implies(X,n(Y)),implies(X,implies(Y,Z))))),
% 74.80/10.01 inference(resolution,[],['55','58'])).
% 74.80/10.01 cnf('60', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Z)),U),implies(implies(X,n(Y)),U)))),
% 74.80/10.01 inference(resolution,[],['59','20'])).
% 74.80/10.01 cnf('61', plain, (~is_a_theorem(implies(implies(X,implies(Y,Z)),U)) | is_a_theorem(implies(implies(X,n(Y)),U))),
% 74.80/10.01 inference(resolution,[],['60','2'])).
% 74.80/10.01 cnf('62', plain, (is_a_theorem(implies(implies(X,Y),implies(X,Z))) | ~is_a_theorem(implies(Y,Z))),
% 74.80/10.01 inference(resolution,[],['55','2'])).
% 74.80/10.01 cnf('63', plain, (is_a_theorem(implies(implies(X,Y),implies(X,implies(implies(Y,Z),Z))))),
% 74.80/10.01 inference(resolution,[],['62','52'])).
% 74.80/10.01 cnf('64', plain, (is_a_theorem(implies(X,implies(implies(Y,Z),Z))) | ~is_a_theorem(implies(X,Y))),
% 74.80/10.01 inference(resolution,[],['63','2'])).
% 74.80/10.01 cnf('65', plain, (is_a_theorem(implies(implies(implies(X,n(Y)),Y),Y))),
% 74.80/10.01 inference(resolution,[],['45','12'])).
% 74.80/10.01 cnf('66', plain, (is_a_theorem(implies(n(implies(X,n(Y))),Y))),
% 74.80/10.01 inference(resolution,[],['43','65'])).
% 74.80/10.01 cnf('67', plain, (is_a_theorem(implies(n(implies(X,n(Y))),implies(implies(Y,Z),Z)))),
% 74.80/10.01 inference(resolution,[],['64','66'])).
% 74.80/10.01 cnf('68', plain, (is_a_theorem(implies(implies(X,implies(n(Y),Y)),implies(X,Y)))),
% 74.80/10.01 inference(resolution,[],['54','16'])).
% 74.80/10.01 cnf('69', plain, (~is_a_theorem(implies(X,implies(n(Y),Y))) | is_a_theorem(implies(X,Y))),
% 74.80/10.01 inference(resolution,[],['68','2'])).
% 74.80/10.01 cnf('70', plain, (is_a_theorem(implies(X,X))),
% 74.80/10.01 inference(resolution,[],['23','12'])).
% 74.80/10.01 cnf('71', plain, (is_a_theorem(implies(X,implies(Y,Y)))),
% 74.80/10.01 inference(resolution,[],['70','5'])).
% 74.80/10.01 cnf('72', plain, (is_a_theorem(implies(implies(implies(X,X),Y),implies(Z,Y)))),
% 74.80/10.01 inference(resolution,[],['71','20'])).
% 74.80/10.01 cnf('73', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(implies(U,U),Y),Z)))),
% 74.80/10.01 inference(resolution,[],['72','20'])).
% 74.80/10.01 cnf('74', plain, (is_a_theorem(implies(implies(implies(X,X),Y),Z)) | ~is_a_theorem(implies(implies(U,Y),Z))),
% 74.80/10.01 inference(resolution,[],['73','2'])).
% 74.80/10.01 cnf('75', plain, (is_a_theorem(implies(implies(implies(X,X),Y),Y))),
% 74.80/10.01 inference(resolution,[],['74','65'])).
% 74.80/10.01 cnf('76', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(implies(Z,Z),X),Y)))),
% 74.80/10.01 inference(resolution,[],['75','20'])).
% 74.80/10.01 cnf('77', plain, (is_a_theorem(implies(implies(implies(X,X),Y),Z)) | ~is_a_theorem(implies(Y,Z))),
% 74.80/10.01 inference(resolution,[],['76','2'])).
% 74.80/10.01 cnf('78', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(n(X),X),Y)))),
% 74.80/10.01 inference(resolution,[],['20','12'])).
% 74.80/10.01 cnf('79', plain, (is_a_theorem(implies(implies(n(X),X),Y)) | ~is_a_theorem(implies(X,Y))),
% 74.80/10.01 inference(resolution,[],['78','2'])).
% 74.80/10.01 cnf('80', plain, (is_a_theorem(implies(implies(n(X),X),implies(Y,X)))),
% 74.80/10.01 inference(resolution,[],['79','4'])).
% 74.80/10.01 cnf('81', plain, (is_a_theorem(implies(implies(implies(X,X),implies(n(Y),Y)),implies(Z,Y)))),
% 74.80/10.01 inference(resolution,[],['77','80'])).
% 74.80/10.01 cnf('82', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Y)),implies(n(Z),Z)),implies(U,Z)))),
% 74.80/10.01 inference(resolution,[],['81','45'])).
% 74.80/10.01 cnf('83', plain, (is_a_theorem(implies(n(n(X)),implies(Y,X)))),
% 74.80/10.01 inference(resolution,[],['38','82'])).
% 74.80/10.01 cnf('84', plain, (is_a_theorem(implies(implies(implies(X,Y),Z),implies(n(n(Y)),Z)))),
% 74.80/10.01 inference(resolution,[],['83','20'])).
% 74.80/10.01 cnf('85', plain, (is_a_theorem(implies(n(implies(X,Y)),implies(n(n(Y)),Z)))),
% 74.80/10.01 inference(resolution,[],['84','43'])).
% 74.80/10.01 cnf('86', plain, (is_a_theorem(implies(n(implies(X,Y)),n(Y)))),
% 74.80/10.01 inference(resolution,[],['69','85'])).
% 74.80/10.01 cnf('87', plain, (is_a_theorem(implies(implies(n(X),Y),implies(n(implies(Z,X)),Y)))),
% 74.80/10.01 inference(resolution,[],['86','20'])).
% 74.80/10.01 cnf('88', plain, (is_a_theorem(implies(implies(n(X),implies(Y,X)),implies(Y,X)))),
% 74.80/10.01 inference(resolution,[],['87','69'])).
% 74.80/10.01 cnf('89', plain, (~is_a_theorem(implies(n(X),implies(Y,X))) | is_a_theorem(implies(Y,X))),
% 74.80/10.01 inference(resolution,[],['88','2'])).
% 74.80/10.01 cnf('90', plain, (is_a_theorem(implies(implies(X,implies(Y,n(X))),implies(Y,n(X))))),
% 74.80/10.01 inference(resolution,[],['67','89'])).
% 74.80/10.01 cnf('91', plain, (is_a_theorem(implies(implies(X,n(Y)),implies(Y,n(X))))),
% 74.80/10.01 inference(resolution,[],['61','90'])).
% 74.80/10.01 cnf('92', plain, (is_a_theorem(implies(implies(X,implies(Y,n(Z))),implies(X,implies(Z,n(Y)))))),
% 74.80/10.01 inference(resolution,[],['91','62'])).
% 74.80/10.01 cnf('93', plain, (~is_a_theorem(implies(X,implies(Y,n(Z)))) | is_a_theorem(implies(X,implies(Z,n(Y))))),
% 74.80/10.01 inference(resolution,[],['92','2'])).
% 74.80/10.01 cnf('94', plain, (is_a_theorem(implies(implies(implies(X,X),implies(n(Y),Y)),Y))),
% 74.80/10.01 inference(resolution,[],['77','12'])).
% 74.80/10.01 cnf('95', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Y)),implies(n(Z),Z)),Z))),
% 74.80/10.01 inference(resolution,[],['94','45'])).
% 74.80/10.01 cnf('96', plain, (is_a_theorem(implies(n(n(X)),X))),
% 74.80/10.01 inference(resolution,[],['38','95'])).
% 74.80/10.01 cnf('97', plain, (is_a_theorem(implies(implies(X,Y),implies(n(n(X)),Y)))),
% 74.80/10.01 inference(resolution,[],['96','20'])).
% 74.80/10.01 cnf('98', plain, (is_a_theorem(implies(implies(X,n(X)),n(X)))),
% 74.80/10.01 inference(resolution,[],['69','97'])).
% 74.80/10.01 cnf('99', plain, (~is_a_theorem(implies(implies(n(X),Y),Z)) | is_a_theorem(implies(X,Z))),
% 74.80/10.01 inference(resolution,[],['32','2'])).
% 74.80/10.01 cnf('100', plain, (is_a_theorem(implies(X,n(n(X))))),
% 74.80/10.01 inference(resolution,[],['98','99'])).
% 74.80/10.01 cnf('101', plain, (is_a_theorem(implies(implies(X,Y),implies(X,n(n(Y)))))),
% 74.80/10.01 inference(resolution,[],['100','62'])).
% 74.80/10.01 cnf('102', plain, (is_a_theorem(implies(X,implies(implies(X,Y),n(n(Y)))))),
% 74.80/10.01 inference(resolution,[],['101','54'])).
% 74.80/10.01 cnf('103', plain, (is_a_theorem(implies(X,implies(n(Y),n(implies(X,Y)))))),
% 74.80/10.01 inference(resolution,[],['93','102'])).
% 74.80/10.01 cnf('104', plain, (~is_a_theorem(implies(x,implies(n(y),n(implies(x,y)))))),
% 74.80/10.01 inference(cnf_transformation,[],['f3_$sk'])).
% 74.80/10.01 cnf('105', plain, ($false),
% 74.80/10.01 inference(resolution,[],['103','104'])).
% 74.80/10.01
% 74.80/10.01 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 74.80/10.01
% 74.80/10.01 run 83 fork 2 statistics:
% 74.80/10.01 ----------------------------------
% 74.80/10.01 this run seconds: 2.985002
% 74.80/10.01 total seconds: 9.206171
% 74.80/10.01 stat_given_used: 3001
% 74.80/10.01 stat_given_used_at_endgame: 0
% 74.80/10.01 stat_given_candidates: 5285
% 74.80/10.01 stat_given_candidates_at_endgame: 0
% 74.80/10.01 stat_given_candidates_h: 0
% 74.80/10.01 stat_binres_derived_cl: 531111
% 74.80/10.01 stat_binres_derived_cl_h: 0
% 74.80/10.01 stat_factor_derived_cl: 0
% 74.80/10.01 stat_para_derived_cl: 0
% 74.80/10.01 stat_tautologies_discarded: 1
% 74.80/10.01 stat_forward_subsumed: 284961
% 74.80/10.01 stat_derived_cut: 0
% 74.80/10.01 stat_derived_rewritten: 0
% 74.80/10.01 stat_weight_discarded_building: 0
% 74.80/10.01 stat_weight_discarded_cl: 29188
% 74.80/10.01 stat_internlimit_discarded_cl: 0
% 74.80/10.01 stat_simplified: 0 simplified 0 derived 0 given
% 74.80/10.01 stat_kept_cl: 216960
% 74.80/10.01 stat_built_cl: 252150
% 74.80/10.01 stat_hyperres_partial_cl: 0
% 74.80/10.01 stat_made_rewriters: 0
% 74.80/10.01 stat_backward_subsumed: 0
% 74.80/10.01 stat_propagated_subsumed: 0
% 74.80/10.01 stat_clsubs_attempted: 921261
% 74.80/10.01 stat_clsubs_fact_groundunit_found: 0
% 74.80/10.01 stat_clsubs_rule_groundunit_found: 1
% 74.80/10.01 stat_clsubs_top_meta_attempted: 5492681
% 74.80/10.01 stat_clsubs_top_meta_failed: 4571420
% 74.80/10.01 stat_clsubs_top_meta_nonpref_attempted: 5492681
% 74.80/10.01 stat_clsubs_top_meta_nonpref_succeeded: 1445557
% 74.80/10.01 stat_clsubs_top_meta_pref_attempted: 1445557
% 74.80/10.01 stat_clsubs_top_meta_pref1_succeeded: 1445557
% 74.80/10.01 stat_clsubs_top_meta_pref2_succeeded: 1308385
% 74.80/10.01 stat_clsubs_top_meta_pref3_succeeded: 921261
% 74.80/10.01 stat_clsubs_top_meta_pref_succeeded: 921261
% 74.80/10.01 stat_clsubs_meta_attempted: 1030243
% 74.80/10.01 stat_clsubs_meta_failed: 341438
% 74.80/10.01 stat_clsubs_predsymbs_attempted: 0
% 74.80/10.01 stat_clsubs_unit_attempted: 673491
% 74.80/10.01 stat_clsubs_full_attempted: 247770
% 74.80/10.01 stat_forwardsubs_attempted: 531109
% 74.80/10.01 stat_lit_hash_added: 218641
% 74.80/10.01 stat_lit_hash_computed: 764590
% 74.80/10.01 stat_lit_hash_match_found: 284962
% 74.80/10.01 stat_lit_hash_match_miss: 510508
% 74.80/10.01 stat_lit_hash_cut_ok: 0
% 74.80/10.01 stat_lit_strong_cut_ok: 0
% 74.80/10.01 stat_lit_hash_subsume_ok: 284961
% 74.80/10.01 clqueue els 10000000 used 1
% 74.80/10.01 clactive els 10000000 used 3002
% 74.80/10.01 clactivesubsume els 10000000 used 18001
% 74.80/10.01 queue_termbuf els 200000000 used 20769015
% 74.80/10.01 hyper_termbuf els 100000000 used 1
% 74.80/10.01 active_termbuf els 100000000 used 169085
% 74.80/10.01 varstack els 5000 last used 1
% 74.80/10.01 given_termbuf els 10000000 last used 1
% 74.80/10.01 simplified_termbuf els 10000000 last used 1
% 74.80/10.01 derived_termbuf els 10000000 last used 60
% 74.80/10.01 wr_mallocs: 140976
% 74.80/10.01 wr_callocs: 19
% 74.80/10.01 wr_reallocs: 58568
% 74.80/10.01 wr_frees: 2
% 74.80/10.01 wr_malloc_bytes: 4169229780
% 74.80/10.01 wr_calloc_bytes: 96065504
% 74.80/10.01 wr_realloc_bytes: 9754256
% 74.80/10.01 wr_realloc_freebytes: 0
% 74.80/10.01 ----------------------------------
%------------------------------------------------------------------------------