%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n002.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 12:09:53 PM UTC 2026
% Result : Theorem 0.23s 0.51s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.03 % Command : gkc %s
% 0.09/0.35 % Computer : n002.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 : Sat Sep 5 16:16:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.23/0.48
% 0.23/0.48 input clause set summed statistics:
% 0.23/0.48 ----------------------------------
% 0.23/0.48 in_clause_count: 3
% 0.23/0.48 in_rule_clause_count: 3
% 0.23/0.48 in_fact_clause_count: 0
% 0.23/0.48 in_answer_clause_count: 0
% 0.23/0.48 in_ground_clause_count: 1
% 0.23/0.48 in_unit_clause_count: 2
% 0.23/0.48 in_horn_clause_count: 3
% 0.23/0.48 in_pos_clause_count: 1
% 0.23/0.48 in_neg_clause_count: 1
% 0.23/0.48 in_poseq_clause_count: 0
% 0.23/0.48 in_negeq_clause_count: 0
% 0.23/0.48 in_unitposeq_clause_count: 0
% 0.23/0.48 in_chain_clause_count: 0
% 0.23/0.48 in_min_length: 1
% 0.23/0.48 in_max_length: 3
% 0.23/0.48 in_min_depth: 2
% 0.23/0.48 in_max_depth: 7
% 0.23/0.48 in_min_size: 8
% 0.23/0.48 in_max_size: 22
% 0.23/0.48 in_min_vars: 0
% 0.23/0.48 in_max_vars: 5
% 0.23/0.48 in_extaxiom_count: 0
% 0.23/0.48 in_axiom_count: 2
% 0.23/0.48 in_assumption_count: 0
% 0.23/0.48 in_goal_count: 1
% 0.23/0.48 in_neg_goal_count: 1
% 0.23/0.48 in_pos_goal_count: 0
% 0.23/0.48 in_posunit_goal_count: 0
% 0.23/0.48
% 0.23/0.48 auto guide:
% 0.23/0.48 -----------
% 0.23/0.48 {
% 0.23/0.48 "print":1,
% 0.23/0.48 "print_level": 15,
% 0.23/0.48 "max_size": 0,
% 0.23/0.48 "max_depth": 0,
% 0.23/0.48 "max_length": 0,
% 0.23/0.48 "max_dseconds": 0,
% 0.23/0.48 "equality":0,
% 0.23/0.48 "runs":[
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":1, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.48 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.23/0.48 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.23/0.48 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.23/0.48 {"max_dseconds":1, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.23/0.48 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.23/0.48
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":10, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus", "double"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":10, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.48 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.23/0.48 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":10},
% 0.23/0.48 {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.23/0.48 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":10},
% 0.23/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.23/0.48 {"max_dseconds":10, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.23/0.48 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":10},
% 0.23/0.48
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["hardness_pref"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":50, "strategy":["unit"], "weight_select_ratio":100, "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "weight_select_ratio":100, "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.23/0.48 {"length_penalty":100, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.23/0.48 {"strategy":["hardness_pref", "max_weight"], "length_penalty":100, "depth_penalty":50, "max_depth":3, "var_weight":10, "repeat_var_weight":10, "max_dseconds":50},
% 0.23/0.48 {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.23/0.48 {"var_weight":70, "repeat_var_weight":70, "max_depth":3, "query_preference":0, "strategy":["negative_pref"], "max_dseconds":50},
% 0.23/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "max_depth":5, "query_preference":0},
% 0.23/0.48 {"max_dseconds":50, "strategy":["negative_pref"], "max_weight":40, "query_preference":0},
% 0.23/0.48 {"weight_select_ratio":100, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.23/0.48
% 0.23/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.23/0.48
% 0.23/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "weight_select_ratio":20},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "var_weight":70, "repeat_var_weight":70},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.23/0.48 {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1}
% 0.23/0.48
% 0.23/0.48 ]}
% 0.23/0.48
% 0.23/0.48
% 0.23/0.48 **** run 1 fork 0 starts with strategy
% 0.23/0.48 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.23/0.49
% 0.23/0.49 **** run 2 fork 1 starts with strategy
% 0.23/0.49 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.23/0.49
% 0.23/0.49 **** run 3 fork 2 starts with strategy
% 0.23/0.49 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.23/0.49
% 0.23/0.49 **** run 4 fork 3 starts with strategy
% 0.23/0.49 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.23/0.49
% 0.23/0.49 **** run 5 fork 4 starts with strategy
% 0.23/0.49 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":20}
% 0.23/0.50
% 0.23/0.50 **** run 6 fork 5 starts with strategy
% 0.23/0.50 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"var_weight":70,"repeat_var_weight":70}
% 0.23/0.50
% 0.23/0.50 **** run 7 fork 6 starts with strategy
% 0.23/0.50 {"max_dseconds":1,"strategy":["negative_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.23/0.50
% 0.23/0.50 **** run 8 fork 7 starts with strategy
% 0.23/0.50 {"max_dseconds":1,"strategy":["hardness_pref"],"weight_select_ratio":100,"query_preference":0}
% 0.23/0.51
% 0.23/0.51
% 0.23/0.51 result: proof found
% 0.23/0.51 for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51 by run 2 fork 1 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.23/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51
% 0.23/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51 fof('a5_$sk', plain, is_a_theorem(implies(implies(X5,X4),implies(implies(implies(X1,implies(X3,X2)),implies(X4,implies(not(X3),not(X5)))),implies(X5,X3)))),
% 0.23/0.51 inference(negpush_and_skolemize,[],['a5'])).
% 0.23/0.51 fof('a5', axiom, (! [A,B,C,D,E] : is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(D,E)),implies(B,implies(not(D),not(A)))),implies(A,D))))),
% 0.23/0.51 input).
% 0.23/0.51 fof('condensed_detachment_$sk', plain, (is_a_theorem(X2) | (~is_a_theorem(X1) | ~is_a_theorem(implies(X1,X2)))),
% 0.23/0.51 inference(negpush_and_skolemize,[],['condensed_detachment'])).
% 0.23/0.51 fof('condensed_detachment', axiom, (! [X,Y] : ((~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X)) | is_a_theorem(Y))),
% 0.23/0.51 input).
% 0.23/0.51 fof('prove_cn_1_$sk', plain, ~is_a_theorem(implies(implies($sk3,$sk2),implies(implies($sk2,$sk1),implies($sk3,$sk1)))),
% 0.23/0.51 inference(negpush_and_skolemize,[],['prove_cn_1'])).
% 0.23/0.51 fof('prove_cn_1', conjecture, (! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),
% 0.23/0.51 input).
% 0.23/0.51 cnf('1', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(implies(Z,implies(U,V)),implies(Y,implies(not(U),not(X)))),implies(X,U))))),
% 0.23/0.51 inference(cnf_transformation,[],['a5_$sk'])).
% 0.23/0.51 cnf('2', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 0.23/0.51 inference(cnf_transformation,[],['condensed_detachment_$sk'])).
% 0.23/0.51 cnf('3', plain, (is_a_theorem(implies(implies(implies(X,implies(Y,Z)),implies(U,implies(not(Y),not(V)))),implies(V,Y))) | ~is_a_theorem(implies(V,U))),
% 0.23/0.51 inference(resolution,[],['1','2'])).
% 0.23/0.51 cnf('4', plain, (~is_a_theorem(implies(implies(X,implies(Y,Z)),implies(U,implies(not(Y),not(V))))) | ~is_a_theorem(implies(V,U)) | is_a_theorem(implies(V,Y))),
% 0.23/0.51 inference(resolution,[],['3','2'])).
% 0.23/0.51 cnf('5', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Z,X)) | is_a_theorem(implies(Z,Y))),
% 0.23/0.51 inference(resolution,[],['4','3'])).
% 0.23/0.51 cnf('6', plain, (~is_a_theorem(implies(X,implies(implies(Y,implies(Z,U)),implies(V,implies(not(Z),not(W)))))) | is_a_theorem(implies(X,implies(W,Z))) | ~is_a_theorem(implies(W,V))),
% 0.23/0.51 inference(resolution,[],['5','3'])).
% 0.23/0.51 cnf('7', plain, (is_a_theorem(implies(X,implies(implies(implies(Y,implies(Z,U)),implies(V,implies(not(Z),not(W)))),implies(W,Z)))) | ~is_a_theorem(implies(X,implies(W,V)))),
% 0.23/0.51 inference(resolution,[],['5','1'])).
% 0.23/0.51 cnf('8', plain, (~is_a_theorem(implies(X,implies(Y,Z))) | is_a_theorem(implies(X,implies(U,Z))) | ~is_a_theorem(implies(U,Y))),
% 0.23/0.51 inference(resolution,[],['6','7'])).
% 0.23/0.51 cnf('9', plain, (~is_a_theorem(implies(X,implies(implies(Y,implies(Z,U)),implies(V,implies(not(Z),not(W)))))) | is_a_theorem(implies(implies(W,V),implies(X,implies(W,Z))))),
% 0.23/0.51 inference(resolution,[],['8','1'])).
% 0.23/0.51 cnf('10', plain, (~is_a_theorem(implies(implies($sk3,$sk2),implies(implies($sk2,$sk1),implies($sk3,$sk1))))),
% 0.23/0.51 inference(cnf_transformation,[],['prove_cn_1_$sk'])).
% 0.23/0.51 cnf('11', plain, ($false),
% 0.23/0.51 inference(resolution,[then_simplify],['9','1','10'])).
% 0.23/0.51
% 0.23/0.51 % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51
% 0.23/0.51 run 2 fork 1 statistics:
% 0.23/0.51 ----------------------------------
% 0.23/0.51 this run seconds: 0.017980
% 0.23/0.51 total seconds: 0.020458
% 0.23/0.51 stat_given_used: 79
% 0.23/0.51 stat_given_used_at_endgame: 0
% 0.23/0.51 stat_given_candidates: 138
% 0.23/0.51 stat_given_candidates_at_endgame: 0
% 0.23/0.51 stat_given_candidates_h: 0
% 0.23/0.51 stat_binres_derived_cl: 705
% 0.23/0.51 stat_binres_derived_cl_h: 0
% 0.23/0.51 stat_factor_derived_cl: 79
% 0.23/0.51 stat_para_derived_cl: 0
% 0.23/0.51 stat_tautologies_discarded: 18
% 0.23/0.51 stat_forward_subsumed: 8
% 0.23/0.51 stat_derived_cut: 1
% 0.23/0.51 stat_derived_rewritten: 0
% 0.23/0.51 stat_weight_discarded_building: 0
% 0.23/0.51 stat_weight_discarded_cl: 0
% 0.23/0.51 stat_internlimit_discarded_cl: 0
% 0.23/0.51 stat_simplified: 0 simplified 0 derived 0 given
% 0.23/0.51 stat_kept_cl: 757
% 0.23/0.51 stat_built_cl: 915
% 0.23/0.51 stat_hyperres_partial_cl: 0
% 0.23/0.51 stat_made_rewriters: 0
% 0.23/0.51 stat_backward_subsumed: 0
% 0.23/0.51 stat_propagated_subsumed: 0
% 0.23/0.51 stat_clsubs_attempted: 1023
% 0.23/0.51 stat_clsubs_fact_groundunit_found: 0
% 0.23/0.51 stat_clsubs_rule_groundunit_found: 1
% 0.23/0.51 stat_clsubs_top_meta_attempted: 3815
% 0.23/0.51 stat_clsubs_top_meta_failed: 2792
% 0.23/0.51 stat_clsubs_top_meta_nonpref_attempted: 3815
% 0.23/0.51 stat_clsubs_top_meta_nonpref_succeeded: 1058
% 0.23/0.51 stat_clsubs_top_meta_pref_attempted: 1058
% 0.23/0.51 stat_clsubs_top_meta_pref1_succeeded: 1049
% 0.23/0.51 stat_clsubs_top_meta_pref2_succeeded: 1049
% 0.23/0.51 stat_clsubs_top_meta_pref3_succeeded: 1023
% 0.23/0.51 stat_clsubs_top_meta_pref_succeeded: 1023
% 0.23/0.51 stat_clsubs_meta_attempted: 5042
% 0.23/0.51 stat_clsubs_meta_failed: 1545
% 0.23/0.51 stat_clsubs_predsymbs_attempted: 0
% 0.23/0.51 stat_clsubs_unit_attempted: 3
% 0.23/0.51 stat_clsubs_full_attempted: 1020
% 0.23/0.51 stat_forwardsubs_attempted: 766
% 0.23/0.51 stat_lit_hash_added: 53
% 0.23/0.51 stat_lit_hash_computed: 7749
% 0.23/0.51 stat_lit_hash_match_found: 9
% 0.23/0.51 stat_lit_hash_match_miss: 11475
% 0.23/0.51 stat_lit_hash_cut_ok: 0
% 0.23/0.51 stat_lit_strong_cut_ok: 1
% 0.23/0.51 stat_lit_hash_subsume_ok: 8
% 0.23/0.51 clqueue els 10000000 used 1
% 0.23/0.51 clactive els 10000000 used 80
% 0.23/0.51 clactivesubsume els 10000000 used 457
% 0.23/0.51 queue_termbuf els 200000000 used 103869
% 0.23/0.51 hyper_termbuf els 100000000 used 1
% 0.23/0.51 active_termbuf els 100000000 used 6039
% 0.23/0.51 varstack els 5000 last used 1
% 0.23/0.51 given_termbuf els 10000000 last used 1
% 0.23/0.51 simplified_termbuf els 10000000 last used 1
% 0.23/0.51 derived_termbuf els 10000000 last used 56
% 0.23/0.51 wr_mallocs: 532
% 0.23/0.51 wr_callocs: 21
% 0.23/0.51 wr_reallocs: 28
% 0.23/0.51 wr_frees: 2
% 0.23/0.51 wr_malloc_bytes: 4162601924
% 0.23/0.51 wr_calloc_bytes: 112065536
% 0.23/0.51 wr_realloc_bytes: 4056
% 0.23/0.51 wr_realloc_freebytes: 0
% 0.23/0.51 ----------------------------------
%------------------------------------------------------------------------------