TSTP Solution File: KLE151+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : KLE151+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 05:31:26 EDT 2023

% Result   : Theorem 1.89s 0.66s
% Output   : CNFRefutation 1.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : KLE151+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.10  % Command  : gkc %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue Aug 29 11:00:16 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.34  
% 0.10/0.34  input clause set summed statistics:
% 0.10/0.34  ----------------------------------
% 0.10/0.34  in_clause_count:                    20
% 0.10/0.34  in_rule_clause_count:               20
% 0.10/0.34  in_fact_clause_count:                0
% 0.10/0.34  in_answer_clause_count:              0
% 0.10/0.34  in_ground_clause_count:              1
% 0.10/0.34  in_unit_clause_count:               15
% 0.10/0.34  in_horn_clause_count:               20
% 0.10/0.34  in_pos_clause_count:                14
% 0.10/0.34  in_neg_clause_count:                 1
% 0.10/0.34  in_poseq_clause_count:              15
% 0.10/0.34  in_negeq_clause_count:               1
% 0.10/0.34  in_unitposeq_clause_count:          14
% 0.10/0.34  in_chain_clause_count:               0
% 0.10/0.34  in_min_length:             1
% 0.10/0.34  in_max_length:             2
% 0.10/0.34  in_min_depth:              2
% 0.10/0.34  in_max_depth:              4
% 0.10/0.34  in_min_size:               5
% 0.10/0.34  in_max_size:              13
% 0.10/0.34  in_min_vars:               0
% 0.10/0.34  in_max_vars:               3
% 0.10/0.34  in_extaxiom_count:                19
% 0.10/0.34  in_axiom_count:                    0
% 0.10/0.34  in_assumption_count:               0
% 0.10/0.34  in_goal_count:                     1
% 0.10/0.34  in_neg_goal_count:                 1
% 0.10/0.34  in_pos_goal_count:                 0
% 0.10/0.34  in_posunit_goal_count:             0
% 0.10/0.34  
% 0.10/0.34  auto guide:
% 0.10/0.34  -----------
% 0.10/0.34  {
% 0.10/0.34  "print":1,
% 0.10/0.34  "print_level": 15,
% 0.10/0.34  "max_size": 0,
% 0.10/0.34  "max_depth": 0,
% 0.10/0.34  "max_length": 0,
% 0.10/0.34  "max_dseconds": 0,
% 0.10/0.34  "runs":[
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% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.10/0.34  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.10/0.34  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.10/0.34  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
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% 0.10/0.34  {"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},
% 0.10/0.34  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
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% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
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% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
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% 0.10/0.34  {"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},
% 0.10/0.34  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.10/0.34  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.10/0.34  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.10/0.34  {"max_dseconds":10, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
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% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.34  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.10/0.34  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.10/0.34  
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
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% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
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% 0.10/0.34  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.10/0.34  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0} 
% 0.10/0.34  
% 0.10/0.34  ]}
% 0.10/0.34  
% 0.10/0.34  
% 0.10/0.34  **** run 1 fork 0 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 2 fork 1 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 3 fork 2 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 4 fork 3 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.10/0.34  
% 0.10/0.34  **** run 5 fork 4 starts with strategy
% 0.10/0.34  
% 0.10/0.34  **** run 6 fork 5 starts with strategy
% 0.10/0.34  
% 0.10/0.34  **** run 8 fork 7 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.34  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.10/0.34  
% 0.10/0.34  **** run 7 fork 6 starts with strategy
% 0.10/0.34  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.15/0.46  
% 0.15/0.46  
% 0.15/0.46  fork 5: search terminated without proof.
% 0.15/0.46  
% 0.15/0.46  
% 0.15/0.46  fork 4: search terminated without proof.
% 0.15/0.46  
% 0.15/0.46  
% 0.15/0.46  fork 2: search terminated without proof.
% 0.15/0.46  
% 0.15/0.46  
% 0.15/0.46  fork 6: search terminated without proof.
% 0.15/0.46  
% 0.15/0.46  
% 0.15/0.46  fork 7: search terminated without proof.
% 0.15/0.46  
% 0.15/0.46  
% 0.15/0.46  fork 1: search terminated without proof.
% 0.15/0.47  
% 0.15/0.47  
% 0.15/0.47  fork 3: search terminated without proof.
% 0.15/0.49  
% 0.15/0.49  **** run 13 fork 4 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.15/0.49  
% 0.15/0.49  **** run 14 fork 5 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":1}
% 0.15/0.49  
% 0.15/0.49  **** run 11 fork 2 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 0.15/0.49  
% 0.15/0.49  **** run 15 fork 6 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.15/0.49  
% 0.15/0.49  **** run 16 fork 7 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":100,"depth_penalty":100,"length_penalty":100}
% 0.15/0.49  
% 0.15/0.49  **** run 12 fork 3 starts with strategy
% 0.15/0.49  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.15/0.50  
% 0.15/0.50  **** run 10 fork 1 starts with strategy
% 0.15/0.50  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.15/0.60  
% 0.15/0.60  
% 0.15/0.60  fork 4: search terminated without proof.
% 0.15/0.60  
% 0.15/0.60  
% 0.15/0.60  fork 5: search terminated without proof.
% 0.15/0.60  
% 0.15/0.60  
% 0.15/0.60  fork 6: search terminated without proof.
% 0.15/0.61  
% 0.15/0.61  
% 0.15/0.61  fork 2: search terminated without proof.
% 0.15/0.61  
% 0.15/0.61  
% 0.15/0.61  fork 3: search terminated without proof.
% 0.15/0.61  
% 0.15/0.61  
% 0.15/0.61  fork 7: search terminated without proof.
% 0.15/0.62  
% 0.15/0.62  
% 0.15/0.62  fork 1: search terminated without proof.
% 0.15/0.62  
% 0.15/0.62  **** run 21 fork 4 starts with strategy
% 0.15/0.62  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1,"length_penalty":100}
% 0.15/0.62  
% 0.15/0.62  **** run 22 fork 5 starts with strategy
% 0.15/0.62  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para"],"query_preference":0}
% 0.15/0.63  
% 0.15/0.63  **** run 23 fork 6 starts with strategy
% 0.15/0.63  {"max_dseconds":1,"strategy":["query_focus","double"],"query_preference":1}
% 0.15/0.63  
% 0.15/0.63  **** run 19 fork 2 starts with strategy
% 0.15/0.63  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 0.15/0.63  
% 0.15/0.63  **** run 20 fork 3 starts with strategy
% 0.15/0.63  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"depth_penalty":100,"repeat_var_weight":1}
% 0.15/0.63  
% 0.15/0.63  **** run 24 fork 7 starts with strategy
% 0.15/0.63  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 0.15/0.64  
% 0.15/0.64  **** run 18 fork 1 starts with strategy
% 0.15/0.64  {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0}
% 1.89/0.66  
% 1.89/0.66  
% 1.89/0.66  result: proof found
% 1.89/0.66  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.89/0.66  by run 1 fork 0 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 1.89/0.66  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.89/0.66  
% 1.89/0.66  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.89/0.66  fof('$inc_multiplicative_associativity_$sk', plain, (multiplication(X3,multiplication(X1,X2)) = multiplication(multiplication(X3,X1),X2)),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_multiplicative_associativity'])).
% 1.89/0.66  fof('$inc_multiplicative_associativity', axiom, (! [A,B,C] : (multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C))),
% 1.89/0.66    input). 
% 1.89/0.66  fof('$inc_infty_coinduction_$sk', plain, (leq(X3,multiplication(strong_iteration(X1),X2)) | ~leq(X3,addition(multiplication(X1,X3),X2))),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_infty_coinduction'])).
% 1.89/0.66  fof('$inc_infty_coinduction', axiom, (! [A,B,C] : (leq(C,addition(multiplication(A,C),B)) => leq(C,multiplication(strong_iteration(A),B)))),
% 1.89/0.66    input). 
% 1.89/0.66  fof('goals_$sk', plain, ~leq(multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))),multiplication(strong_iteration(multiplication($sk2,$sk1)),$sk2)),
% 1.89/0.66    inference(negpush_and_skolemize,[],['goals'])).
% 1.89/0.66  fof('goals', conjecture, (! [X0,X1] : leq(multiplication(X0,strong_iteration(multiplication(X1,X0))),multiplication(strong_iteration(multiplication(X0,X1)),X0))),
% 1.89/0.66    input). 
% 1.89/0.66  fof('$inc_multiplicative_right_identity_$sk', plain, (multiplication(X1,one) = X1),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_multiplicative_right_identity'])).
% 1.89/0.66  fof('$inc_multiplicative_right_identity', axiom, (! [A] : (multiplication(A,one) = A)),
% 1.89/0.66    input). 
% 1.89/0.66  fof('$inc_distributivity1_$sk', plain, (multiplication(X3,addition(X1,X2)) = addition(multiplication(X3,X1),multiplication(X3,X2))),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_distributivity1'])).
% 1.89/0.66  fof('$inc_distributivity1', axiom, (! [A,B,C] : (multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)))),
% 1.89/0.66    input). 
% 1.89/0.66  fof('$inc_infty_unfold1_$sk', plain, (strong_iteration(X1) = addition(multiplication(X1,strong_iteration(X1)),one)),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_infty_unfold1'])).
% 1.89/0.66  fof('$inc_infty_unfold1', axiom, (! [A] : (strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one))),
% 1.89/0.66    input). 
% 1.89/0.66  fof('$inc_order_$sk', plain, ((~leq(X2,X1) | (addition(X2,X1) = X1)) & (leq(X4,X3) | ~(addition(X4,X3) = X3))),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_order'])).
% 1.89/0.66  fof('$inc_order', axiom, (! [A,B] : (leq(A,B) <=> (addition(A,B) = B))),
% 1.89/0.66    input). 
% 1.89/0.66  fof('$inc_additive_commutativity_$sk', plain, (addition(X2,X1) = addition(X1,X2)),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_additive_commutativity'])).
% 1.89/0.66  fof('$inc_additive_commutativity', axiom, (! [A,B] : (addition(A,B) = addition(B,A))),
% 1.89/0.66    input). 
% 1.89/0.66  fof('$inc_idempotence_$sk', plain, (addition(X1,X1) = X1),
% 1.89/0.66    inference(negpush_and_skolemize,[],['$inc_idempotence'])).
% 1.89/0.66  fof('$inc_idempotence', axiom, (! [A] : (addition(A,A) = A)),
% 1.89/0.66    input). 
% 1.89/0.66  cnf('1', plain, (multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z)),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_multiplicative_associativity_$sk'])).
% 1.89/0.66  cnf('2', plain, (~leq(X,addition(multiplication(Y,X),Z)) | leq(X,multiplication(strong_iteration(Y),Z))),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_infty_coinduction_$sk'])).
% 1.89/0.66  cnf('3', plain, (~leq(multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))),multiplication(strong_iteration(multiplication($sk2,$sk1)),$sk2))),
% 1.89/0.66    inference(cnf_transformation,[],['goals_$sk'])).
% 1.89/0.66  cnf('4', plain, (~leq(multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))),addition(multiplication(multiplication($sk2,$sk1),multiplication($sk2,strong_iteration(multiplication($sk1,$sk2)))),$sk2))),
% 1.89/0.66    inference(resolution,[],['2','3'])).
% 1.89/0.66  cnf('5', plain, (~leq(multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))),addition(multiplication($sk2,multiplication($sk1,multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))))),$sk2))),
% 1.89/0.66    inference(paramodulation,[],['1','4'])).
% 1.89/0.66  cnf('6', plain, (multiplication(X,one) = X),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_multiplicative_right_identity_$sk'])).
% 1.89/0.66  cnf('7', plain, (multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z))),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_distributivity1_$sk'])).
% 1.89/0.66  cnf('8', plain, (multiplication(X,addition(Y,one)) = addition(multiplication(X,Y),X)),
% 1.89/0.66    inference(paramodulation,[],['6','7'])).
% 1.89/0.66  cnf('9', plain, (~leq(multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))),multiplication($sk2,addition(multiplication($sk1,multiplication($sk2,strong_iteration(multiplication($sk1,$sk2)))),one)))),
% 1.89/0.66    inference(simplify,[],['5','8'])).
% 1.89/0.66  cnf('10', plain, (~leq(multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))),multiplication($sk2,addition(multiplication(multiplication($sk1,$sk2),strong_iteration(multiplication($sk1,$sk2))),one)))),
% 1.89/0.66    inference(paramodulation,[],['1','9'])).
% 1.89/0.66  cnf('11', plain, (strong_iteration(X) = addition(multiplication(X,strong_iteration(X)),one)),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_infty_unfold1_$sk'])).
% 1.89/0.66  cnf('12', plain, (~leq(multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))),multiplication($sk2,strong_iteration(multiplication($sk1,$sk2))))),
% 1.89/0.66    inference(simplify,[],['10','11'])).
% 1.89/0.66  cnf('13', plain, (addition(X,Y) != Y | leq(X,Y)),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_order_$sk'])).
% 1.89/0.66  cnf('14', plain, (addition(X,Y) = addition(Y,X)),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_additive_commutativity_$sk'])).
% 1.89/0.66  cnf('15', plain, (addition(X,X) = X),
% 1.89/0.66    inference(cnf_transformation,[],['$inc_idempotence_$sk'])).
% 1.89/0.66  cnf('16', plain, (addition(X3,X3) = X3),
% 1.89/0.66    inference(paramodulation,[],['14','15'])).
% 1.89/0.66  cnf('17', plain, ($false),
% 1.89/0.66    inference(resolution,[then_simplify],['12','13','16'])).
% 1.89/0.66  
% 1.89/0.66  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.89/0.66  
% 1.89/0.66  run 1 fork 0 statistics:
% 1.89/0.66  ----------------------------------
% 1.89/0.66  this run seconds: 0.019025
% 1.89/0.66  total seconds: 0.040071
% 1.89/0.66  stat_given_used: 47
% 1.89/0.66  stat_given_used_at_endgame: 0
% 1.89/0.66  stat_given_candidates:   130
% 1.89/0.66  stat_given_candidates_at_endgame: 0
% 1.89/0.66  stat_given_candidates_h: 0
% 1.89/0.66  stat_binres_derived_cl:   14
% 1.89/0.66  stat_binres_derived_cl_h: 0
% 1.89/0.66  stat_factor_derived_cl: 0
% 1.89/0.66  stat_para_derived_cl: 987
% 1.89/0.66  stat_tautologies_discarded: 0
% 1.89/0.66  stat_forward_subsumed: 149
% 1.89/0.66  stat_derived_cut: 7
% 1.89/0.66  stat_derived_rewritten: 6
% 1.89/0.66  stat_weight_discarded_building: 0
% 1.89/0.66  stat_weight_discarded_cl: 0
% 1.89/0.66  stat_internlimit_discarded_cl: 0
% 1.89/0.66  stat_simplified:  6 simplified 0 derived 0 given
% 1.89/0.66  stat_kept_cl: 717
% 1.89/0.66  stat_built_cl: 817
% 1.89/0.66  stat_hyperres_partial_cl: 0
% 1.89/0.66  stat_made_rewriters: 30
% 1.89/0.66  stat_backward_subsumed: 0
% 1.89/0.66  stat_propagated_subsumed: 0
% 1.89/0.66  stat_clsubs_attempted:                        61
% 1.89/0.66  stat_clsubs_fact_groundunit_found:             0
% 1.89/0.66  stat_clsubs_rule_groundunit_found:             4
% 1.89/0.66  stat_clsubs_top_meta_attempted:                775
% 1.89/0.66  stat_clsubs_top_meta_failed:                   714
% 1.89/0.66  stat_clsubs_top_meta_nonpref_attempted:                 775
% 1.89/0.66  stat_clsubs_top_meta_nonpref_succeeded:                 397
% 1.89/0.66  stat_clsubs_top_meta_pref_attempted:                    397
% 1.89/0.66  stat_clsubs_top_meta_pref1_succeeded:                   157
% 1.89/0.66  stat_clsubs_top_meta_pref2_succeeded:                    73
% 1.89/0.66  stat_clsubs_top_meta_pref3_succeeded:                    61
% 1.89/0.66  stat_clsubs_top_meta_pref_succeeded:                     61
% 1.89/0.66  stat_clsubs_meta_attempted:                   64
% 1.89/0.66  stat_clsubs_meta_failed:                       3
% 1.89/0.66  stat_clsubs_predsymbs_attempted:               0
% 1.89/0.66  stat_clsubs_unit_attempted:                   60
% 1.89/0.66  stat_clsubs_full_attempted:                    1
% 1.89/0.66  stat_forwardsubs_attempted:                  867
% 1.89/0.66  stat_lit_hash_added:                    907
% 1.89/0.66  stat_lit_hash_computed:                2029
% 1.89/0.66  stat_lit_hash_match_found:              155
% 1.89/0.66  stat_lit_hash_match_miss:              1857
% 1.89/0.66  stat_lit_hash_cut_ok:                     2
% 1.89/0.66  stat_lit_strong_cut_ok:                   5
% 1.89/0.66  stat_lit_hash_subsume_ok:               149
% 1.89/0.66  clqueue els 10000000 used 1
% 1.89/0.66  clactive els 10000000 used 48
% 1.89/0.66  clactivesubsume els 10000000 used 181
% 1.89/0.66  queue_termbuf els 200000000 used 43382
% 1.89/0.66  hyper_termbuf els 100000000 used 1
% 1.89/0.66  active_termbuf els 100000000 used 1948
% 1.89/0.66  varstack els 5000 last used 1
% 1.89/0.66  given_termbuf els 10000000 last used 1
% 1.89/0.66  simplified_termbuf els 10000000 last used 1
% 1.89/0.66  derived_termbuf els 10000000 last used 89
% 1.89/0.66  wr_mallocs: 3016
% 1.89/0.66  wr_callocs: 21
% 1.89/0.66  wr_reallocs: 153
% 1.89/0.66  wr_frees: 2
% 1.89/0.66  wr_malloc_bytes: 4162688612
% 1.89/0.66  wr_calloc_bytes: 112065536
% 1.89/0.66  wr_realloc_bytes: 17496
% 1.89/0.66  wr_realloc_freebytes: 0
% 1.89/0.66  ----------------------------------
%------------------------------------------------------------------------------